MATHEMATICAL TABLES, 
 
 Piinted by S. Hamilton, Weybridge. 
 
MATHEMATICAL TABLES 
 
 CONTAINING THE 
 
 COMMON, HYPERBOLIC, AND LOGISTIC 
 
 LOGARITHMS, 
 
 ALSO 
 
 SINES, TANGENTS, SECANTS, ST VERSED SINES 
 
 BOTH NATURAL Al^ID LOGARITHMIC. 
 
 TOGETHER WItM 
 
 SEVERAL OTHER TABLES 
 
 ♦ USEFUL IN 
 
 MATHEMATICAL CALCULATIONS. 
 
 To which is prefixed, 
 
 A LARGE AND ORIGINAL HISTORY OF THE DISCOVERIES AND WRITINGS 
 RELATING TO THOSE SUBJECTSj 
 
 WITH THE 
 
 COMPLETE DESCRIFllON AND USE OF THE TABLES. 
 THE FIFTH EDITION. 
 
 BY CHARLES BUTTON, 
 
 LL.D. F.R.S. &c. 
 AND LATE PROFESSOR OF MATHEMATICS IN THE ROYAL MILITARY ACADEMY, 
 
 WOOLWICH. 
 
 LONDON : 
 
 PRINTED FO"R F. C. AND J. RIVINGTON ; WILKIE AND ROBINSON ; 
 
 J. walker; lackington, allen, and co.; vernor, hood, and 
 sharpe; c. law; longman, hurst, rees, orme, and brown; 
 black, parry, and kingsbury; j. richardson; l. b. see ley ; 
 
 J. MURRAY; R. BALDWIN; SHERWOOD, NEELY, AND JONES; GALE 
 AND CURTIS; J. JOHNSON AND CO.; AND G. ROBINSON. 
 
 1811. 
 

 Kf^W I 
 
PREFACE. 
 
 The very ample introduction, prefixed to the following col- 
 lection of Mathematical Tables, supersedes the necessity of 
 using many words here by way of preface, and leaves little 
 more to be mentioned than the necessity and occasion of 
 this work, with some account of the contents and mode of 
 execution. 
 
 The undertaking was occasioned by the great incorrect- 
 ness of all the editions of Sherwin's or Gardiner's tables, 
 and more especially by the bad arrangement in the fifth or 
 last edition. Finding, as well from the report of others, as 
 from my own experience, that those editions (to say nothing 
 of the very improper alteration in the form of the table of 
 sines, tangents, and secants in the last of them) were so very 
 incorrectly printed, the errors being multiplied beyond all 
 tolerable bounds, and no dependence to be placed on them 
 for any thing of real practice, I was led to undertake the 
 painful office of preparing a correct edition of another simi- 
 lar work. And I was lucky enough to meet with a book- 
 seller of sufficient spirit to be at the great expense of print- 
 ing the book, as well as to allow me what 1 demanded for 
 my trouble in preparing it ; which demand, however, was 
 nothing adequate to the great labour attending it, as I was 
 well aware that the profits of the book would not enable 
 him fully to reward my pains. 
 
 I have in the first place, therefore, used all the means in 
 my power to render the work correct. I began by collating 
 the third or best edition of Sherwin*s tables, with some 
 others of the most perfect works of the same kind, as 
 Briggs^s, Vlacq's, Gardiner's quarto book, &c; by which 
 means I detected many errors in each of them, which had 
 not before been discovered ; and of these, between twenty 
 and thirty were in the two editions of Gardiner's quarto 
 work, printed at London in 1742, and at Avignon in 1770; 
 tiie errata of which two books are here printed at the end 
 
 A!8 
 
 918247 
 
iv PREFACE. 
 
 of the tables in this work. But, besides detecting many 
 unknown errors in the said third edition of Sherwin, which 
 was no more than was expected, I discovered, with no small 
 surprise, that the last figures in the table of logarithms were 
 not uniformly true to the Clearest unit, except in a very few 
 pages at the beginning and end of the table ; though Mr. 
 Gardiner, the editor of that edition, had made the table 
 correct in that respect in his own quarto work before men- 
 tioned, which was also printed in the same year 1742, with 
 the said third edition of Sherwin ! The errors from this 
 cause, in that third edition, amounted to several thousands ; 
 and they have continued to run through all the editions of 
 Sherwin ever since that time ! But they are here corrected. 
 Nor has less attention been employed in correcting the press, 
 than in previously correcting the copy ; every proof having 
 been several times read over, and compared with the best of 
 the books hitherto printed, by several persons attending to 
 the reading of every proof-sheet. 
 
 But in giving this edition to the world, I was not satisfied 
 with barely making it correct. I was aware that the mate- 
 rials themselves might be much improved ; and I have ac- 
 cordingly enlarged, or otherwise greatly amended them, in 
 various respects. Among the improvements of the old ma- 
 terials may be reckoned the following : — namely, in the large 
 table of logarithms, the proportional parts, near the begin- 
 ning, are more conveniently arranged, being now all placed 
 in the same opening of the book where their corresponding 
 differences occur; the logarithms to sixty-one figures are 
 brought, to their proper place in the book, and more conve- 
 niently disposed all in one page ; the large table of sines, 
 tangents, and secants, is more commodiously arranged, and 
 rendered more distinct and convenient for use ; the natural 
 sines, tangents, secants, and versed sines, being all separated 
 from the others, and placed all together on the left-hand 
 pages, and the logarithmic ones facing them on the right- 
 hand pages ; the common difierences, in both, set between 
 the two columns to which each of them answers ; and the 
 versed sines here introduced into their proper place in the 
 same pages with the sines, tangents, and secants. Besides 
 these, there are some other alterations in the new tables here 
 given, and the reader will find a number of very important 
 improvements in the description and use of the whole; espe- 
 
PREFACE. V 
 
 cially in the arithmetic of logarithms, and in the resolution 
 of plane and spherical triangles, according to the present 
 improved methods of calculation used by the Astronomer 
 Royal, and other persons the most experienced in these 
 matters. 
 
 The improvements in the tables, by the introduction of 
 new matter, are both great and numerous. The tables num- 
 bered 2, 3, and 4, are here added, being an entire new set, 
 with their differences, for finding numbers and logarithms to 
 twenty places. The columns of common differences, in the 
 pages of natural sines, &c, are now first introduced : As are 
 also the tables of hyperbolic and logistic logarithms ; the 
 logarithmic sines and tangents for every second, in the first 
 two degrees of the quadrant ; together with a table of the 
 length of arcs, a table to change common and hyperbolic lo- 
 garithms from the one to the other, &c. — the uses and exem- 
 plifications of the whole being very amply detailed. 
 
 But the greatest alteration of all is the very extensive and 
 new introduction here given, instead of the former inade- 
 quate and heterogeneous one, consisting of about 1 80 pages 
 of new matter, on a methodical plan, containing the histori- 
 cal account and description of all trigonometrical writings, 
 and the tables relating to that subject, both natural and lo- 
 garithmic ; besides the complete use of the tables in this 
 work. Inventions are here ascribed to the proper authors, 
 and their methods and improvements described and com- 
 pared. This historical description will evidently appear to 
 be the result of immense labour and reading. And, indeed, 
 I have painfully gone over all the books which are here so 
 minutely described; and that description with a detail in 
 some degree adequate to their great merits; especially the 
 works of Napier, Briggs, Kepler, &c; which was the more 
 necessary, as the writings and methods of those great 
 masters had not been any where properly described and dis- 
 criminated, though they are in themselves highly curious 
 and important. 
 
 These readings and commentaries have been carried on 
 to an extent far beyond what was at first intended. But 
 the tables having been in the press for the space of seven or 
 eight years, I had thereby an opportunity of collecting and 
 examining a still greater number of books; so that I was 
 gradually led on, and my views and plans rendered still more 
 
Ti PREFACE. 
 
 extensive and complete. This delay, therefore, though in 
 many respects it proved very inconvenient and disagreeable, 
 has at length been the occasion of rendering these commen- 
 taries more perfect and satisfactory. 
 
 Besides what immediately relates to trigonometrical sub- 
 jects, the reader will here find many other curious and un- 
 common articles, relating to their several authors and their 
 discoveries, which have occurred in the course of my read- 
 ing, and which appeared of too much consequence to be 
 passed over unnoticed, in the analysis of their several com- 
 positions. Among these, is the discovery of the first author 
 of the binomial theorem^ and the differential method, which 
 are due to Mr. Henry Briggs, whose writings are replete with 
 ingenious and original matter, and are well deserving to be 
 more generally known and studied than they have been for 
 some time past. 
 
 This long course of examination and description, however, 
 having been carried on for so many years, at different inter- 
 vals, and interrupted by various avocations, and by business 
 of different kinds, it will be no wonder if this circumstance 
 may have occasioned some inequalities in the style and 
 composition of this history ; and for which, therefore, should 
 any such appear, it is hoped the occasion will plead an 
 apology. 
 
 Woolwich, 
 Feb. 1785. 
 
 *^* IN the large table of common logarithms, when the 
 first of the last four figures in any logarithm changes from a 
 9 to a 0, in any line, in which case the first three or constant 
 figures are prefixed to the next following line, instead of 
 these three, it often happens that young beginners by mis- 
 take take out the three constant figures next above the said 
 line. To guard against this error, the figures in this edi- 
 tion are so contrived, that where the said change happens, 
 a bar is placed over the cipher, thus o, in order to catch the 
 eye, and remind the learner that the change there takes 
 
 place. In this edition, too, tlie black rules formerly 
 
 drawn across the pages, at the intervals of every five, or six, 
 or ten lines, have been taken out, leaving thin white spaces 
 across the pages instead of them. These improvements, 
 besides that of new and better formed figures here now intro- 
 
PREFACE. vii 
 
 duced, and other attentions, contribute to render this edi- 
 "tion of the tables more convenient and correct than either of 
 the former ones. 
 
 C. H. 
 
 Dec. 1800. 
 
 IN this Jjfth editmi, several of the tables have been much 
 enlarged and improved, arid some new ones introduced. 
 Thus, the first large table of logarithms, which heretofore 
 extended only to 100000 numbers, is now enlarged by one 
 whole sheet more, being continued to 108000 numbers. 
 Also the tables on pages 19^, 199, 202, ^16, are all ex- 
 tended to more numbers than formerly. A n^w and exten- 
 sive table of Hyperbolic Logarithms is introduced after the 
 old one ending page £1 1. The lists of errors, discovered 
 in the best books of logarithms, that have been printed in 
 this country and elsewhere, are more enlarged and corrected. 
 By all which improvements, this collection of tables is ren- 
 dered much more useful and valuable, than any of the 
 former editions. 
 
 London, 
 Ma^ 1811. 
 
 Errata, in the Introduction. 
 
 Page 121, line 21, for Lansihangel, read Lanfihangel. 
 128, — 17, for log. ^, read log. |. 
 149, — 4 from the hot. for .rl, read x — 1. 
 157, — 5 from the hot. for s.^.A+B, read j.^.A+B. 
 
 In the Tables. 
 
 264, Nat. Tan. 8oi' should be 1408375. 
 
 265, Log. Vers. 8 22 8-0270578. 
 
 271, L. Covers. 11 52 9"9000202. 
 
 337, Log. Tan. 44 60 lO'OOOOOOO. 
 
 Additional Errata in the French Tables of IBOl. 
 In the logs, to 61 places. No. 14, col. 5> for 12992, read 12922. 
 
 In the Logistic Logarithms. 
 
 so' 60", for 8696, read 8697. 
 85 31, — 8481, —8461. 
 85 33, —8469, — 8459. 
 
vm 
 
 A short Abstract of the principal Contents, may be as 
 follows : 
 
 1 . In the Introduction. 
 
 History of trigonometrical tables 
 before the invention of loga- 
 rithms, with the various me- 
 thods of construction - - I 
 On the word sinics - - - - 17 
 
 History of logarithms • - - 20 
 Nature of logarithms - - - 22 
 Invention of logarithms - - 24 
 DiflFerent sorts of logarithms 25 
 Construction of logarithms - 42 
 By Napier - - - - - - 42 
 
 Kepler - - - - -^ - 49 
 
 Bj'iggs - - - - - -61 
 
 Briggs's Trigonometria Britan. 75 
 Relation between logarithm's and 
 certain curves - - - - 84 
 
 Gregory's construction - - - 87 
 Mercator's Logarithmo-technia 87 
 Gregory's Exercit. Geometricae 97 
 Sir I. Newton's methods - - 102 
 
 Halley's 107 
 
 Sharp's 110 
 
 By Fluxions Ill 
 
 Cotes's Logometria - - - 112 
 Taylor's construction - - - 116 
 Long's method - - - - 118 
 
 Jones's -------119 
 
 Reid, &c. - 122 
 
 Dodson's Anti-log. canon - - 122 
 Description and use of logarith- 
 mic tables ----- 125 
 Definition and notation - - 125 
 Properties of logaritiims - - 127 
 Construction of logarithms - 127 
 Description and use of our tables 129 
 Of our large table - - - - 129 
 Logarithmical arithmetic - 134 
 Of the table to 20 places - - 137 
 Of the table to 61 places - - 142 
 Of the hyperbolic logarithms 146 < 
 Of the logistic logarithms - 147 
 Of the log. sines and tangents to 
 
 every second _ - - - 143 
 Of the general table of log. sines, 
 
 tangents, &c. - - - - 150 
 
 Trigonometrical rules - - 156 
 
 The cases of plane triangles resolved 
 
 by logarithms - - - - 160 
 
 The cases of spherical triangles 
 
 resolved by logarithms - - 162 
 Use of the versed sines - - I70 
 Of the traverse table - - - 172 
 Of Mercator's sailing - - - 175 
 Of the length of circular arcs 178 
 Of comparing the common and 
 hyp. logs. 179 
 
 2. In the Tables themselves. 
 
 Tab. Page. 
 
 1. Logarithms from 1 to 100000 1 
 
 2. Logarithms, &c, to 20 places 187 
 
 3. Id. with differences - - 197 
 
 4. Numbers to logarithms to 20 
 
 places 200 
 
 5. Logarithms to 61 places 203 
 
 6. Id. with differences - - 207 
 
 7. Hyperbolic logarithms - - 208 
 
 8. Logistic logarithms - - 212 
 
 9. Sines and tangents to seconds 217 
 
 Tab. Page. 
 
 10. Natural and logarithmic 
 sines, tangents, secants, and 
 versed sines - - - - 248 
 
 11. Traverse table - - - 338 
 
 12. Length of arcs - - - 340 
 
 13. Table to change common 
 and hyperbolic logarithms 
 from one to the other - 341 
 
 14. Points of the compass - 341 
 
 15. Errata in Gardiner's and 
 other logarithms - - - 342 
 
INTRODUCTION 
 
 I. OF TRIGONOMETRICAL TABLES. 
 
 N] 
 
 ECESSITY, the fruitful mother of most useful inventions, 
 gave birth to the various numeral tables which compose the following 
 work. Astronomy has been cultivated from the earliest ages. The 
 progress of that science, requiring numerous arithmetical compu- 
 tations of the sides and angles of triangles, both plane and spherical, 
 gave rise to trigonometry; for those frequent calculations suggested the 
 necessity of performing them by the property' of similar triangles ; and 
 for the ready application of this property, it was. necessary that certain 
 lines described in and about circles, to a determinate radius, should be 
 computed, and disposed in tables. Navigation, and the continually 
 improving accuracy of astronomy, have also occasioned as perpetual 
 an increase in the accuracy and extent of those tables. Ana this it is 
 evident must ever be the case, the improvement of trigonometry 
 uniformly following the improvement of those other useful sciences, 
 for the sake of which it is more especially cultivated. 
 
 The ancients performed their trigonometry by means of the chords 
 of arcs, which, with the chords of their supplementalarcs, and the con- 
 stant diameter, formed all species of right-angled triangles. Beginning 
 with the radius, and the arc whose chord is equal to the radius, they 
 divided them both into 60 equal parts, and estimated all other arcs and 
 chords by those parts, namely, all arcs by fiOths of that arc, and alt 
 chords by 60ths of its chord or of the radius. iVt least this method is as 
 9ld as the writings of Ptolemy, who used the sexagenary arithmetic for 
 this division of chords and arcs, and for astronomical purposes. — And 
 this, by-the-by, may be the reason why the wliole circumference is 
 divided into 360, or 6 times 60, equal parts or degrees, the whole cir- 
 cumference being equal to 6 times the first arc, whose chord is equal to 
 the radius: unless perhaps we are rather to seek for the division of the 
 circle in the number of days in the year; for thus, the ancient year con- 
 sisting of 360 days, the sun or earth in each day described the 360th part 
 of the orbit; and thence might arise the method of dividing every circle 
 into 360 parts ; and radius being equal to the chord of 60 of those parts, 
 the sexagesimal division, both of the radius and of the parts, might 
 thence arise. Trigonometry however must have been cultivated long be- 
 fore the tifne of Ptolemy; and indeed Theon, in his commentary on 
 
 B 
 
L> ' " HISTORY OF 
 
 Ptolemy's Almagest, 1. I. ch. 9., mentions a work of the philosopher 
 Hipparchus, written about a century and a half before Christ, consist- 
 ing of 12 books on the chords of circular arcs: which must have been 
 a treatise on trigonometry. And Menelaus also, in the first century 
 of Christ, wrote 6 books concerning subtenses or chords of arcs. He 
 used the word nadir (of an arc), which he defined to be the right line 
 subtending the double of the arc ; so that his nadir of an arc was the 
 double of our sine of the same arc, or the chord of the double arc ; and 
 therefore whatever he proves of the former, may be applied to the latter, 
 substituting the double sine for the nadir. 
 
 The radius has been since decimally divided ; but the sexagesimal 
 divisions of the arc have continued in use to this day. Indeed our 
 countrymen, Briggs and Gellibrand, having a general dislike to all sex- 
 agesimal divisions, made an attempt at some reformation of this custom, 
 by dividing the degrees of the arcs, in their tables, into centesms or 
 hundredth parts, instead of minutes or 60th parts. The same was also 
 recommended' by Vieta, and others ; and a decimal division of the 
 whole quadrant* might perhaps soon have followed, had it not been 
 for the tables of Vlacq, which came out a little after, to eveiy 10 se- 
 conds, or 6*th parts of a minute. — But the complete reformation 
 would be, to express all arcs by their real lengths, namely, in equal parts 
 of the radius decimally divided : according to which method I have 
 nearly completed a table of sines and tangents. 
 
 It is not to be doubted that many of the ancients wrote on the sub- 
 ject of trigonometry, as being a necessary part of astronomy ; though 
 few of their labours on that branch have come to our knowledge, and 
 still fewer of the writingsthemselves have been handed down to us. We 
 are in possession of the three books of Menelaus, on spherical trigo- 
 nometry; but the six books are lost which he v/rote upon chords, being 
 probably a treatise on the construction of trigonometrical tables. 
 
 The trigonometry of Menelaus was much improved by Ptolemy 
 (Claudius Ptolomaeus) the celebrated philosopher and mathematician. 
 He was born at Pelusium, taught astronomy at Alexandria in Egypt, 
 and died in the year of Christ 147, being the 78th year of his age. 
 In the first book of his Almagest, Ptolemy delivers a table of arcs and 
 i^^hords, with the method of construction. This table contains 3 co- 
 " lumns ; in the first are the arcs to every half degree or 30 minutes ; in 
 the 2d are their chords, expressed in degrees, min\ites and seconds, of 
 which degrees the radius contains 60; and in the 3d column are the dif- 
 ferences of the cbords answering to 1 minute of the arcs, or the 30th j^art 
 of the differences between the chords in the 2d column. In the con- 
 struction of this table, among others, Ptolemy shows, for the first time 
 that we know of, this property of any quadrilateral inscribed in a circle> 
 namely, that the rectangle under the two diagonals, is equal to the sum 
 of the two rectangles under the opposite sides. 
 
 This method of computation, by the chords, continued in use till 
 about the middle centuries after Christ ; when it was changed for that 
 of the sines, which were about that time introduced into trigonometry 
 
 * Tliis has lately been done by the French mathexnatkiaus, in their new logarithmic tables. 
 
TRIGONOMETRICAL TABLES, &c. 3 
 
 by the Arabians, who in other respects much improved this science, 
 which they had received from the Greeks, introducing, among other 
 things, the three or four theorems, or axioms, which are used at present 
 as the foundation of our modern trigonometry. 
 
 The other great improvements that liave been made in this branch, 
 are due to the Europeans. These improvements they have gradually 
 introduced since they received this science from the Arabians. And 
 though these latter people had long used the Indian or decimal scale of 
 arithmetic, it does not appear that they varied from the Greek or sex- 
 agesimal division of the radius, by which the chords and sines were ex- 
 pressed. 
 
 This alteration, it is said, v/as first made by George Purbach, who 
 was so called from his being a native of a place of that name between 
 Austria and Bavaria. He was born in 1423, studied mathematics and 
 astronomy at the university of Vienna, where he was afterwards pro- 
 fessor of those sciences, though but for a short time, the learned world 
 quickly suffering a great loss by his immature death, which happened 
 in 1462, at the age of 39 years only. Purbach, besides enrichmg tri- 
 gonometry and astronomy with several new tables, theorems, and ob- 
 servations, supposed the radius to be divided into 600,000 equal parts, 
 and computed the sines of the arcs, for every 10 minutes, in such equal 
 parts of the radius, by the decimal notation. 
 
 This project of Purbach was completed by his disciple, companion, 
 and successor, John Muller, or Regiomontanus, who was so called from 
 the place of his nativity, the little town of Mons Regius, or Konings- 
 berg, in Franconia, where he was born in the year 1436. Regiomon- 
 tanus not only extended the sines to every minute, the radius being 
 600,000, as designed by Purbach, but afterwards, disliking that scheme 
 as evidently imperfect, he computed them likewise to the radius 
 1,000,000, for every minute of the quadrant. He also introduced the 
 tangents into trigonometry, the canon of which he called foecundus, 
 because of the many and great advantages arising from them. Besides 
 these, he enriched trigonometry with many theorems and precepts. 
 Through the benefit of all these improvements, except for the use of 
 logarithms, the trigonometry of Regiomontanus is but little inferior 
 to that of our own time. His treatise on both plane and spherical 
 trigonometry, is in 5 books ; it was written about the year 1464, and 
 printed in folio at Nuremburg, in 1 533. And in the fifth book are also 
 various problems concerning rectilinear triangles, some of which are 
 resolved by means of algebra : a proof that this science was not wholly 
 unknown in Europe before the treatise of Lucas de Burgo. Regio- 
 montanus died in 1476, at the age of 40 years only; being then at 
 Rome, whither he had been invited by the Pope, to assist in the re- 
 formation of the Calendar, and where it was suspected he was poisoned 
 by the sons of George Trebizonde, in revenge for the death of their 
 father, which was said to have been caused by the grief he felt on ac- 
 count of the criticisms made by Regiomontanus on his translation of 
 Ptolemy's Almagest. 
 
 Soon after this, several other mathematicians contributed to the im- 
 provement of trigonometry, by extending and enlarging the tables, 
 
 B2 
 
4 HISTORY OF 
 
 though few of their works have been printed ; and particularly John 
 Werner of Nuremburg, wlio was born in 1468, and died in 1528, and 
 who it seems wrote five books on triangles. 
 
 About the year 1500, Nicholas Copernicus, the celebrated modern 
 restorer of the true solar system, wrote a brief treatise on trigonometry, 
 botli plane and spherical, with the description and construction of the 
 canon of chords, or their halves, nearly in the manner of Ptolemy ; to 
 which is subjoined a canon of sines, with their differences, for every 10 
 minutes of the quadrant, to the radius 100,000. This tract is inserted 
 in the first book of his Revolutiones Orhium CcBlestiam, first printed in 
 folio at Nuremburg, 1543. It is remarkable that he does not call these 
 lines sines, but semisses suhtensarum, namely of the double arcs. — * 
 Copernicus was born at Thorn in 1473, and died in 1543. 
 
 In 1553 was published the Canon Fcecundus, or table of tangents, 
 of Erasmus Reinhold, professor of mathematics in the academy of 
 Wurtemburgh. He was born at Salfieldt in Upper Saxony, in the 
 year 1511, and died in 1553. 
 
 To Francis Maurolyc, abbot of Messina in Sicily, we owe the in- 
 troduction o^ the Tabula Benefica, or canon of secants, which came 
 x)ut about the same time, or a little before. But Lansberg erroneously 
 ascribes this to Rheticus. And the tangents and secants are both 
 ascribed to Reinhold, by Briggs, in his Mathemalica ah antiquis rnimis 
 cognita, (p. 30. Appendix to Ward's Lives of the Professors of Gresham 
 College.) 
 
 Francis Vieta was born in 1540, at Fontenai, or Fontenai-le-Comte, 
 in Lower Poitou, a province of France. He was master of requests at 
 Paris, where he died in 1-603, being the 63d year of his age. Among 
 other branches of learning in which he excelled, he was one of the 
 most respectable mathematicians of the 16th century, or indeed of any 
 age. His writings abound with marks of great originality, and the 
 finest genius, as well as intense application. Among them are seve- 
 ral pieces relating to trigonometry, which maybe found in the col- 
 lection of his works published atLeyden in 1646, by Francis Schooten, 
 besides another large and separate volume in folio, published in the 
 author's lifetime at Paris in 1579, containing trigonometrical tables, 
 with their construction and use ; very elegantly printed, by the king's 
 mathematical printer, with beaiitiiul types and rules : the differences 
 of the sines, tangents, and secants, and some other parts, being printed 
 with red ink, for the better distinction; but inaccurately executed, as 
 he himself testifies in page 323 of his other works above mentioned. 
 The first part of this curious volume is entitled Canon MatJiematiciis, 
 sen ad Triangula, cum Appendicihus, and contains a great variety of 
 tables useful in trigonometry. The first of these is what he more pe- 
 culiarly calls Canon Mathematicus, seu ad Triangula, which contains 
 all the sines, tangents, and secants for every minute of the quadrant, 
 to the radius 100,000, with all their differences; and towards the end 
 of the quadrant the tangents and secants are extended to 8 or 9 places 
 of figures. They are arranged like our tables at present, increasing on 
 the left hand side to 45 degrees, and then returning upwards by the 
 right hand side to 90 degrees : so that each number and its complement 
 
TRIGONOMETRICAL TABLES, &c. 5 
 
 stand on the same line. But here the canon of what we' now call 
 tangents is denominated /ceczmdits, and that of the secsmts foecundissi^ 
 mus. For the general idea prevailing in the form of these tables, is, 
 not that the lines represented by the numbers are those which are 
 drawn in and about a circle, as sines, tangents, and secants, but the 
 three sides of right-angled triangles ; this being the way in which 
 those lines had always been considered, and which still continued for 
 some time longer. And therefore he considers the canon as a series of 
 plane right-angled triangles, one side being constantly 100,000; or 
 rather as three series of such triangles, for he makes a distinct series 
 for each of the three varieties, namely, according as the hypotenuse, or 
 'the base, or the perpendicular, is represented by the constant number 
 100,000, which is similar to the radius. Making each side constantly 
 100,000, the other two sides are computed to every magnitude of the 
 acute angle at the base, from 1 minute up to 90 degrees, or the whole 
 quadrant. Each of the three series therefore consists of two parts, as 
 representing the two variable sides of the triangle. When the hypo- 
 tenuse is made the constant number 100,000, the two variable sides 
 of the triangle are the perpendicular and base, or our sine and cosine ; 
 when the base is .100,000, the perpendicular and hypotenuse are the 
 variable parts, forming the canon foecundus et foecundissimus, or our 
 tangent and secant; and when the perpendicular is made the constant 
 100,000, the series contains the variable base and hypotenuse, or also 
 canon fcecundus et foRcundissimus, or our cotangent and cosecant. Of 
 coiu'se, therefore, the table consists of 6 columns, 2 for each of the 3 
 series, besides tha two columns on the right and left for minutes, 
 from to 60 in each degree. 
 
 The second of these tables is similar to the first, but all in rational 
 numbers, consisting, like it, of 3 series of 2 columns ^ach ; the radius, 
 or constant side of the triangle, in each series, being 100,000, as before ; 
 and the other two sides accurately expressed in integers and rational 
 vulgar fractions. So that we have here the canon of acairate sines, 
 tangents, and secants; or a series of about 4300 rational right-angled 
 triangles. But then the several corresponding arcs of the quadrant, 
 or angles of those triangles, are not expressed. Instead of them, are 
 inserted, in the first column next the margin, a series of numbers de- 
 creasing from the beginning to the end of the quadrant, which are 
 called numeri primi baseos. It is from these numbers that Vieta con- 
 structs the sides of the 3 series of right-angled triangles, one side in 
 each series being the constant number 100,000, as before. The theo- 
 rems by wliich these series of rational triangles are computed from the 
 numeri prhni baseos, or marginal numbers, are inserted all in one page 
 at the end of this second table, and in the modern notation they may 
 be briefly expressed thus. Letp be the primary or marginal number 
 on any line, and r the constant eadius or number 100,000; then if r 
 denote the hypotenuse of the right-angled triangle, the perpendicular 
 and base, or the sine and cosine, will be respectively, 
 
 v)T 2 r ~t)* — 1 
 
 T a . 7 and r— — -r-TT* (which last we may reduce to l\^ . r). 
 
HISTORY OF 
 
 Wlien r denotes the base of the right-angled triangle, then the per- 
 pendicular and hypotenuse, or the tangent and secant, are expressed by 
 
 — ^^ and r-j ^ , (which last we may reduce to ■— r) ; 
 
 and when r denotes the perpendicular of the right-angled triangle, the 
 base and hypotenuse, or the cotangent and cosecant, are then ex- 
 pressed by 
 
 and lpr-\ — (or r). 
 
 ij,r-^ ^or^^'r). 
 
 P P P P 
 
 So that Vieta's general values will be as we have here collected thenri 
 together in the following expressions, immediately under the words 
 sine, cosine, &c.; and just below Vieta's forms I have here placed 
 the others to which they reduce and are equivalent, which are more 
 contracted, though not so well adapted to the expeditious computation 
 as Vieta's forms. 
 
 Sine 
 pr 
 
 Cosine 
 2r 
 
 Tangent 
 pr 
 
 Secant 
 
 Cotangent 
 ipr-l 
 
 P 
 
 ^^P'-\ 
 P 
 
 Cosecant 
 P 
 
 
 if-\.l 
 
 if -I 
 
 'l/-l 
 i/+l 
 
 I/+1' 
 
 ip-l' 
 
 All these expressions, it is evident, are rational; and by assuming p of 
 different values, from the first theorems Vieta computed the corre- 
 sponding sides of the triangles, and so expressed them all in integers 
 and rational fractions. 
 
 To the foregoing principal tables are subjoined several other smaller 
 tables, or short specimens of large ones; as, a table of the sines, tan- 
 gents, and secants for every single degree of the quadrant, with the 
 corresponding lengths of the arcs, the radius being 100,000,000; 
 another table of the sines, tangents, and secants, for each degree also, 
 expressed in sexagesimal parts of the radius, as far as the 3d order of 
 parts; also two other tables for the multiplication and reduction of 
 sexagesimal quantities. 
 
 The second part of this volume is entitled Universalmm Inspectio- 
 num ad Canonem Mathematicum Liber singularis. It contains the 
 construction of the tables, a compendious treatise on plane and 
 spherical trigonometry, with the application of them to a great 
 variety of curious subjects in geometry and mensuration, treated in a 
 very learned manner; as also many curious observations concern- 
 ing the quadrature of the circle, the duplication of the cube, &c. 
 Computations are here given of the ratio of the diameter of a 
 circle to the circumference, and of the length of the sine of 1 
 minute, both to many places of figures; by which he found that 
 the sine of 1 minute is between 2,908,881,959 and 2,908,882,056; 
 also, the diameter of a circle being 1000, &c. that the perimeter of 
 the inscribed and circumscribed polygon of 393216 sides, will be as 
 follows: 
 
TRIGONOMETRICAL TABLES, &c. 7 
 
 perim. of the Inscrib. polygon 314,159,265,35 
 perlm. of the circum. polygon 3 1 4, 1 59,265,37 
 and that therefore the circumference of the circle lies between those 
 two numbers. 
 
 Though no author's name appears to the volume I have been de- 
 scribing, there can be no doubt of its being the performance of Vieta; 
 for, besides bearing evident marks of his masterly hand, it is mentioned 
 by himself in several parts of his other works collected by Schooten, 
 and in the preface to those works by Elzevir the printer of them: as 
 also in M. Montucla's Histoire des MatMmatiques, which are the only 
 notices I have ever seen or heard of concerning this book, the copies 
 of which are so rare, that I never saw one besides that which is in my 
 own possession. 
 
 In the other works of Vieta, published at Leyden in 1646, by 
 Schooten, as mentioned above, there are several other pieces relating 
 to trigonometry 5 some of which, on account of their originality and 
 importance, are very deserving of particular notice in this place. 
 And first, the very excellent theorems, here first of all given by our 
 author, relating to angular sections, the geometrical demonstrations 
 of which are supplied by that ingenious geometrician, Alexander 
 Anderson, then professor of mathematics at Paris, but a native of 
 Aberdeen, and cousin-german to Mr. David Anderson, of Finzaugh, 
 whose daughter was the mother of the celebrated James Gregory, 
 inventor of the Gregorian telescope. We find here, theorems of 
 the chords (and consequently sines) of the sums and differences of 
 arcs; and for the chords of arcs that are in arithmetical progres- 
 sion, namely, that the first or least chord is to the 2d, as any one after 
 the 1st, is to the sum of the two next less and greater : for example, 
 as the 2d to the sum of the 1st and 3d, and as the 3d to the sum of 
 the 2d and 4th, and as the 4th to the sum of the 3d and 5th, &c. ; 
 so that, the 1st and 2d being given, all the rest are found from them 
 by one subtraction and one proportion for each, in which the 1st and 
 2d terms are constantly the same. Next are given theorems for the 
 chords of any multiples of a given arc or angle, as also the chords of 
 their supplements to a semicircle, which are similar to the sines and 
 cosines of the multiples of given angles; and the conclusions from 
 them are expressed in this manner; 1st, that if c be the chord of the 
 supplement of a given arc «, to the radius 1, then the chords of the 
 supplements of the multiple arcs will be as in the annexed table: 
 where the author observes that the 
 signs are alternately + and —; that 
 the vertical columns of numeral co- 
 efficients to the terms of the chords, 
 are die several orders of figurate 
 numbers, which he calls triangular, 
 pyramidal, tiiangulo - triangular, tri - 
 angulo- pyramidal, &c. generated in 
 the ordinary way hy continual additions; 
 -not indeed from unity, as in the 
 GENERATION OF POWERS, but beginning with the number 2; and 
 
 Arcs 
 
 Chords of the Supplements, 
 
 la 
 
 C 
 
 2a 
 
 ' €"-2 
 
 Sa 
 
 c'-'Sc 
 
 4« 
 
 c*-46-^-f2 
 
 5a 
 
 c^^dc'-^Bc 
 
 6a 
 
 c^— 6c*-f9c2-2 
 
 la 
 
 c7~7c5-fl4c^-7c 
 
 &c. 
 
 &c. 
 
8 
 
 HISTORY OF 
 
 d the chord of the double 
 
 Arcs 
 
 Chords. 
 
 la 
 
 I 
 
 fa 
 
 d 
 
 3a 
 
 d'-l 
 
 4a 
 
 d'~2d 
 
 5a 
 
 d'-5d'+ 1 
 
 6a 
 
 ^5_4^3^ 3^ 
 
 la 
 
 d6__5^4^ g^2_i 
 
 8a 
 
 d-^-0d'+lOd'-4>d 
 
 &c. 
 
 &c. 
 
 that the powers observe always the same progression : secondly, that 
 if the chord of an arc a be called 1, and 
 arc 2a, then the chords of the series 
 of multiple arcs will be as in this 
 table ; where the author remarks as 
 before on the law of the powers, 
 signs, and coefficients; these being 
 the orders of figurate numbers, raised 
 from unity by continual additions, after 
 the manner of the genesis of powers, 
 which feneration in that way he speaks 
 of as a thing generally known, but 
 without giving any hint how the co- 
 efficients of the terms of any power may be found from one another 
 only, and independent of those of any other power, as it was after- 
 wards, and first of all, I believe, done by Henry Briggs, about the year 
 1600: and 3dly, that if C be th^ chord of any arc a, to the radius 1, 
 then the series of the chords and supplemental chords of the multiple 
 arcs will be thus; where 
 the values are alternately 
 chords, and chords of the 
 supplements of the arcs 
 on the same line, and the 
 law of the powers and 
 coefficients as before, but 
 every alternate couplet of 
 lines having their signs 
 changed. 
 
 Another curious theorem is added to the above, for finding the sum 
 of all these chords drawn in a semicircle, from one end of the diameter 
 to every point in the circumference, those points dividing the circum- 
 ference into any number of equal parts; namely, as tlie least chord is 
 to the diameter, so is the sum of the said least chord and diameter and 
 greatest chord, to double the sum of all the chords including the dia- 
 meter as one of them. 
 
 As the above theorems are chiefly adapted for the chords of multiple 
 angles, a few problems and remarks are then added (whether by Vieta 
 or Anderson does not clearly appear, but I think by the latter) concern- 
 ing the application of them, to the section of angles into submultiples, 
 and thence to the computation of the chords or sines, or a canon of 
 triangles. The general precept for the angular sections is this : select 
 one of the above equations adapted to the proper number of the section, 
 in which will be concerned the powers of the unknown or required 
 quantity, as high as the index of the section ; and from this equation 
 find that quantity by the known methods for the resolution of equations. 
 Examples are given of three different sections, namely, for 3, 5, and 7 
 equal parts, the forms of which are respectively these 
 
 3C— C3 
 
 5C- 5C3+C5 
 
 Arcs 
 
 Chords and Chords of Sup. 
 
 la 
 
 Chord =-hC 
 
 2a 
 
 Sup.Ch. =-C2-f2 
 
 3a 
 
 Chord =-C3-}-3C 
 
 4a 
 
 Sup. eh. =+C^-4C2-j- 2 
 
 5a 
 
 Chord =^C'-5C^^- 5C 
 
 6a 
 
 Sup.ch.=-C^-|-6C^- 9C2+2 
 
 7a 
 
 Chord ^-C^-h^C^-UC^^-f-TC 
 
 &c. 
 
 &c. 
 
 'g 
 
 70- 14C3 + O-O . =g 
 
TRIGONOMETRICAL TABLES, &c. 9 
 
 V^'here g is the chord of the given arc or angle, and C the required 
 chord oF the 3d, 5th, or 7th part of it. And it is shown, geometri- 
 cally, that the first of these equations has 2 real positive roots, the se- 
 cond 3, and the last 4 ; also from the same principles the relations of 
 these roots are pointed out. 
 
 The method then annexed for constructing the canon of sines, from 
 the foregoing theorems, is thus : By dividing the radius in extreme- 
 and-mean ratio, is obtained the sine of 18 degrees ; this quinquisected, 
 gives the sine of S"^ 36'. Again, by trisecting the arc of 60°, there 
 is obtained the sine of 20^ ; this again trisected gives that of 6° 40^ ; 
 and this bisected gives that of 3^ 20': Then, by the theorem for the dif- 
 ference of two arcs, there will be found the sine of 16', the difference 
 between 3° 36' and 3" 20': Lastly, by four successive bisections, will 
 at length be found the sines of 8', 4', 2', and 1'. This last being found, 
 the sines of its multiples, and again of the multiples of these multi- 
 ples, &c. throughout the quadrant, are to be taken by the proper 
 theorems before laid down. And the same subject is still further pur- 
 sued and explained, in the tract containing the answer given by Vieta, 
 to the problem proposed to the whole world by Adrianus Romanus. 
 
 In the same collection of Vieta's works, from page 400 to 432, is 
 given a complete treatise on practical trigonometry, containing rules 
 for resolving all the cases of plane and spherical triangles, by the Canon 
 MatliematkuSy or table of sines, tangents and secants. 
 
 The next authors whose labours in this way have been printed, are 
 Rheticus, Otho, and Pitiscus; to nU of whom we owe very great 
 improvements in trigonometry. 
 
 George Joachim Rlieticus, professor of mathematics in the univer- 
 sity of Wittemburg, and sometime pupil to Copernicus, died in 15/6, 
 in the 60th year of his age. He conceived, and executed, the great 
 design of computing the triangular canon for every 10 seconds of the, 
 quadrant to the radius (1000000000000000), consisting of 1 followed 
 by 15 ciphers. The series of sines which Rheticus computed to this 
 radius, for every 10 seconds, and for every single second in the first 
 and last degree of the quadrant, was published in folio at Francfort, 
 l6l3, by Pitiscus, who himself added a few of the first sines computed 
 to the radius 10000000000000000000000, 
 
 But the larg-e work, or whole trigonometrical canon, computed by 
 Rheticus, was published in 1596 by Valentine Otho, mathematician 
 to the Electoral Prince Palatine. This vast work contains all the three 
 series for the whole canon of right-angled triangles (being similar 
 to the sines, tangents, and secants, by which names I shall call them), 
 with all the differences of the numbers, to the radius 10000000000. 
 Prefixci^ to these tables, are several books on their construction and 
 use, in plane and spherical trigonometry, &c. Of these, the first three 
 are by Rheticus himself; namely book the first, containing the demon- 
 strations of 9 lemmas, concerning the properties of certain lines drawn 
 in and about circles: the 2d book contains 10 propositions, relating to 
 the sines and cosines of arcs, together with those of their sums and dif- 
 ferences, theii' halves and doubles, &c. The 3d book teaches, in 13 pr©^ 
 
 C 
 
10 HISTORY OF 
 
 positions, the construction of the canon to the radius lOOOOOQOOOOOOOOO. 
 By some of the common properties of geometry, having determined the 
 sines of a few principal arcs, as 30% 36% &;c. in the first proposition, 
 by continual bisections he finds the sines of various other arcs, down 
 to 45 minutes. Then in the 2d proposition, by the theorems for 
 the sums and differences of arcs, he finds all the sines and cosines, 
 lip to 90 degrees, in a series of arcs differing by 1° 30'. And, in the 
 3d proposition, by the continual addition of 45', he obtains all the 
 sines and cosines in the series whose common difference is 45'. In 
 the 4th proposition, beginning with 45', and continually bisecting, 
 he finds the sines and cosines of the series of half arcs^ till he arrives 
 at the arc of W'^" 19'% the sine of which is found to be 1, and its 
 dosine 999999999999999. In the fifth proposition are computed the 
 sine and cosine of 30'% or half a minute. In the 6th and 7th pro- 
 positions are computed the sines and cosines for every minute, from 
 1' to 45', as well as of many larger arcs. The 8th proposition ex- 
 tends the computation for single minutes much further. In proposi- 
 tions 9 and 10 are computed the tangents and secants for all arcs in 
 the series whose common difference is 45'; and these are deduced 
 from the sines of the same arcs by one proportion for each. In 
 the remaining three propositions, 11, 12, 13, are computed the 
 tangents and secants for several small angles. And from all these 
 primary sines, tangents, and secants, the whole canon is deduced and 
 completed. , 
 
 The remaining books in this work are by the editor Otho ; namely, 
 9. treatise, in one book, on right-angled plane triangles, the cases of 
 which are resolved by the tables : then right-angled spherical trigono- 
 metry, in four books; next oblique spherical trigonometry, in five 
 books; and lastly, several other books, containing various spherical 
 problems. 
 
 Next after the abov;e are placed the tables themselves, containing 
 the sines, tangents, and secants, for every 10 seconds in the quadrant, 
 with all the differences annexed to each, in a smaller character. The 
 numbers however are not called sines, tangents, and secants, but, like 
 Vieta's before described, they are considered as representing the sides 
 of right-angled triangles, and titled accordingly. They are also, in 
 like manner, divided into tluree series, namely, according as the radius, 
 or constant side of the triangle, is made the hypotenuse, or the greater 
 leg, or the less leg of the triangle. When the hypotenuse is made 
 the constant radius 10000000000, the two columns of this case, or 
 series, are called the perpendicular and base, which are our sine and 
 cosine; when the greater leg is the constant radius, tlie two columns 
 of this series are titled hypotenuse and perpendicular, which are our 
 secant and tangent ; and when the less leg is constant, the two co- 
 lumns in this case are called hypotenuse and base, which are ouf 
 cosecant and cotangent. After this large canon, is printed another 
 smaller table, which is said to be the two columns of the third series, 
 or cosecants and cotangents, with their differences, but to 3 places of 
 -figures less, or to the radius lOOOOOOG. But I cannot discover the 
 r«asoa for adding this less table, even if it were correct, which is very 
 
TRIGONOMETRICAL TABLES, &e. 
 
 n 
 
 far from being the case, the numbers being uniformly erroneoos, ^juA 
 different from the former through the greatest part of the table. 
 
 Towards the close of the 16th century, many persons wrote on tlie 
 subject of trigonometry, and the constmction of the triangular cacoB. 
 But, their writings being seldom printed till many years afterwards, it 
 is not easy to assign their order in respect of time. I shall therefore 
 mention but a few of the principal authors, and that without pretend* 
 ing to any great precision on the score of chronological precedence. 
 
 In 1591 Philip Lansberg first published his Geometria TriangulO' 
 rum, in four books, with the canon of sines, tangents, and secants ; a 
 brief, but very elegant work ; the whole being clearly explained : and 
 it is perhaps the first set of tables titled with those words. The sines, 
 tangents and secants of the arcs to 45 degrees, with those of their 
 complements, are each placed in adjacent columns, in a very commo- 
 dious manner, continued forwards and downwards to 45 degrees, and 
 then returning backwards and upwards to 90 degrees : the radius is 
 10000000, and a specimen of the first page of the table is as follows : 
 
 
 
 Sinus 
 
 Tangens 
 
 Secans ' 
 
 
 
 
 1 
 
 2 
 
 
 
 2909 
 5818 
 
 10000000 
 9999999 
 9999998 
 
 
 2909 
 
 5818 
 
 infinitum. 
 34377466738 
 17188731915 
 
 10000000 
 10000000 
 10000002 
 
 infinitum. 
 34377468193 
 17188734924 
 
 60 
 59 
 
 58 
 
 57 
 56 
 55 
 
 &c. 
 
 3 
 
 4 
 
 5 
 
 &c. 
 
 8727 
 1 1636 
 U544 
 
 9999996 
 9999993 
 9999989 
 
 8727 
 1163(1 
 14544 
 
 11459152994 
 8594363048 
 6875488693 
 
 10000004 
 10000007 
 10000011 
 
 114591573571 
 8594368866 
 6875495966 
 
 
 
 
 
 i 
 
 
 \ 
 
 89 
 
 Of this work, the first book treats of the magnitude and relations 
 of such lines as are considered in and about the circle, as the chords, 
 sines, tangents, and secants. In the second book is delivered the 
 construction of the trigonometrical canon, by means of the properties 
 laid down In the first book. After which follows the canon itself. 
 And in the third and fourth books is shown the application of the 
 
 table, in the resolution of plane and spherical triangles Lansberg, 
 
 who was born in Zealand 1561, was many years a minister of the 
 gospel, and died at MIddleburg in 1632. 
 
 The trigonometry of Bartholomew Pitiscus was first published at 
 Francfort in the year 1599. This is a very complete w^ork; contain- 
 ing, besides the triangular canon, with its construction and use in 
 resolving triangles, the application of trigonometry to problems of 
 surveying, altimetry, architecture, geography, dialling, and astronomy. 
 The constriction of the canon is very clearly described : And, in the 
 third edition of the book, in the year 1612, he boasts to have added in 
 this part arithmetical rules for finding the chords of the 3d, 5th, and 
 other uneven parts of an arc, from the chord of that arc being given ; 
 saying, that it had been heretofore thought impossible to give such 
 rules : But, after all, those boasted methods are only the application of 
 
12 iftlSTORYOF 
 
 the double rule of False-Position to the then known rules for finding 
 the chords of multiple arcs ; namely, making the supposition of some 
 number for the required chord of a submultiple of any given arc, then,^ 
 from this assumed number, computing what will be the chord of its 
 multiple arc, which is to be compared with that of the given arc ; 
 then the same operation is performed with another supposition , and so 
 on, as in the double rule of position. The canon contains the sine, 
 tangent, and secant, for every minute of the quadrant, in some parts 
 to 7 places of figures, in others to 8 ; as also the differences for every 
 10 seconds. The sines, tangents, and secants, are also given for every 
 1 seconds in the first and last degree of the quadrant, for every 2 
 seconds in the first and last 10 minutes, and for every single second in 
 the first and last minute. In this table the sines, tangents, and scr- 
 cants are continued downwards on the left-hand pages as far as to 
 45 degrees, and then returned upwards on the right-hand pages, so 
 that the complements are always on the same*line in the opposite or 
 facing pages. ^ 
 
 The mathematical works of Christopher Clavius (a German Jesuit, 
 who was born at Bamberg in 1537) in five large folio volumes, were 
 printed at Moguntia, or Mentz, in 1612, the year in which the au- 
 thor died, at the age of 75. In the first volume we find a very ample 
 and circumstantial treatise on trigonometry, with Regiomontanus's 
 canon of sines, for every minute, as also canons of tangents and se- 
 cants, each in a separate table, to the radius 10000000, and in a form 
 continued forwards all the way up to 90 degrees. The explanation of 
 the construction of the tables is very complete, and is chiefly ex- 
 tracted from Ptolemy, Purbach, and Regiomontanus. The sines have 
 the differences set down for each second, that is, the quotients arising 
 from the differences of the sines divided by 60. 
 
 About the year 1600, Ludolph van Collen, or a Ceulen, a respect- 
 able Dutch mathematician, wrote his book De Circulo et AdscriptiSy 
 in which he treats fully and ably of the properties of lines drawn in 
 and about the circle, and especially of chords or subtenses, with the 
 construction of the canon of sines. The geometrical properties froni 
 which these lines are computed, are the same as those used by former 
 writers ; but his mode of computing and expressing them is different 
 from theirs ; for they actually extracted all the roots, &c, at every 
 step, or single operation, in decimal numbers ; but he retained the 
 radical expressions to the last, making them however always as simple 
 as possible : thus, for instance, he determines the sides of the polygons 
 of 4, 8, IG, 32, &c, sides, inscribed in the circle whose radius is 1, to 
 be as in the table here annexed : 
 where the point before any figure 
 {as \/.2) signifies the root of all 
 that follows it ; so the last line 
 is in our notation the same as 
 
 v/.2— v/.2+\/.2— -v/2. And as 
 
 ^he perfect management of such 
 surds was then not generally 
 
 No. of 
 
 sides 
 
 - 4 
 8 
 
 16 
 
 33 
 &c. 
 
 Length of each side. 
 
 ^/•2-^/.2-h^/2 
 v/.S-v^.S-fv^ .2-^/2 
 
TRIGONOMETRICAL TABLES, &c. 13 
 
 known, he added a very neat tract on that subject, to facilitate the 
 computations. These, together with other dissertations on similar ge- 
 ometrical matters, were translated from the Dutch language, into Latin, 
 by Willebrord Snell, and published at (Lugd. Batav.) Leyden in 
 1619. It was in this work that Ludolph determined the ratio of the 
 diameter to the circumference of the circle, to 36 figures, showing 
 that, if the diameter be 1, the circumference wdll be 
 
 greater than 3.14159 26535 89/93 23846 26433 83279 50288, 
 
 but less than 3.14159 26535 897^3 23846 26433 832/9 50289; 
 which ratio was, by his order, in imitation of Archimedes, engraven 
 on his tomb-stone, as is witnessed by the said Snell, pa. 54, 55, Cyclo- 
 metricus^ published at Leyden two years after, in which he treats the 
 same subject in a similar manner, recomputing and verifying Lu- 
 dolph's numbers. And in the same book, he also gives a variety of 
 geometrical approximations^ or mechanical solutions, to determine 
 very nearly the lengths of arcs, and the areas of sectors and segments 
 of circles. 
 
 Besides the Cyclometrtcus, and another geometrical work (Jpolhnliis 
 Battavus) published in 1608, the same Sncllius wrote also ifour others, 
 doctrines triangulorum canonlcoi, in which is contained the canon of 
 secants, and in which the construction of sines, tangents, and se- 
 cants, together with the dimension or calculation of triangles^ both 
 plane and spherical, are briefly and clearly treated. After the author's 
 death, this work was published in 8vo, at Leyden 1627, by Martinus 
 Hortensius, who added to it a tract on surveying and spherical prob- 
 lems. Willebrord Snell was born in 1591 at Royen, and died in 
 1626, being only 35 years of age. He was professor of mathematics 
 }n the university of Leyden, as was also his father Rodolph Snell. 
 
 In 1627, Francis van Schooten published, at Amsterdam, in a 
 small neat form, tables of sines, tangents, and secants, for every 
 minute of the quadrant, to 7 places of figures, the radius being 
 10000000; together with their use in plane trigonometry. These 
 tables have a great character for their accuracy, being declared by the 
 author to be without one single error. This however must not be 
 understood of the last figure of the numbers, which I find are very 
 often erroneous, sometimes in excess and sometimes in defect, by not 
 being always set down to the nearest unit. Schooten died in 1659, 
 while he had the second volume of his second edition of Descartes* 
 geometry in the press. He was also author of several other valuable 
 works in geometry and other branches of the mathematics. 
 
 The foregoing are the principal writers on the tables of sines, tan- 
 gents, and secants, before the invention of logarithms, which happened 
 about this time, namely, soon after the year 1600. Tables of the 
 natural numbers were now all completed, and the methods of com- 
 puting them nearly perfected : And therefore, l^efore entering on the 
 discovery and construction of logarithms, we shall stop here a little, to 
 give a summary of the manner in which the said natural sines, tan- 
 gents, and secants, were actually computed, after having been gra- 
 dually improved from Hipparchus, Menelaus, and Ptolemy, who use^ 
 
14 HISTORY OF 
 
 only the chords, down to the beginning of the l7th century^ whea 
 sines, tangents, secants, and versed sines were in use, and when the 
 method hitherto employed had received its utmost improvement. In 
 tliis explanation, I shall here first enumerate the theorems by which 
 the calculations were made,^ and then describe the application of them 
 to the computation itself. 
 
 Theorem 1. The square of the diameter of a circle, is equal to the 
 sum of the squares of the chord of an arc, and of the chord of its 
 supplement to a semicircle. 
 
 2. The rectangle under the two diagonals of any quadrilateral 
 inscribed in a circle, is equal to the sum of the two rectangles under 
 the opposite sides. 
 
 3. The sum of the squares of the sine and cosine (hitherto called 
 the sine of the complement), is equal to the square of the radius. 
 
 4. The difference between the sines of two arcs that are equally 
 distant from 60 degrees, or i of the whole circumference, the one 
 as much greater as the other is less, is equal to the sine of half the 
 differences of those arcs, or of the difference between either are and 
 the said arc of 60 degrees. 
 
 5. The sum of the cosine and versed sine, is equal to the radius. 
 
 C. The sum of the squares of the sine and versed sine, is equal to 
 the square of the chord, or to the square of double the sine of half 
 the arc. 
 
 7. The sine Is a mean proportional between half the radius and the 
 versed sine of double the arc. 
 
 8. A mean proportional between the versed sine and half the radius, 
 is equal to the sine of half the arc. 
 
 9. As radius is to the sine, so is twice the cosine to the sine of twice 
 the arc. 
 
 10. As the chord of an arc, is to the sum of the chords of the 
 single and double arc, so is the difference of those chords, to the 
 chord of thrice the arc. 
 
 11. As the chord of an arc, is to the sum of the chords of twice 
 and thrice the arc, so is the difference of those chords, to the chord of 
 five times the arc. 
 
 12. And in general, as the chord of an arc, is to the sum of the 
 chords of n times and w-j- 1 times the arc, so is the difference of those 
 chords, to the chord of 2n-|- 1 times the arc. 
 
 13. The sine of the sum of two arcs, is equal to the sum of the 
 products of the sine of each multiplied by the cosine of the other, and 
 divided by the radius. 
 
 14. The sine of the difference of two arcs, is equal to the difference 
 of the said two products divided by radius. 
 
 15. The cosine of the sum of two arcs, is equal to the difference 
 between the products of their sines and of their cosines, divided by 
 radius. 
 
 16. The cosine of the difference of two arcs, is equal to the sum of 
 the said products divided by radius. 
 
 17. A small arc is equal to Its chord or sine, nearly, 
 
 18. As cosine is to sine, so is radius to tangent. 
 
TRIGONOMETRICAL TABLES, &c. 
 
 15 
 
 19. Radius is a mean proportional between the tangent and co- 
 tangent. 
 
 20. Half the difFerence between the tangent and cotangent of an 
 arc, is equal to the tangent of the difFerence between tlie arc and its 
 complement. Or, the sum arising from the addition of double the 
 tangent of an arc with the tangent of half its complement, is equal to 
 the tangent of the sum of that arc and the said half complement. 
 
 21. The square of the secant of an arc, is equal to the sum of the 
 squares of the radius and tangent. 
 
 22. Radius is a mean proportional between the secant and cosine. 
 Or, as cosine is to radius, so is radius to secant. 
 
 23. Radius i§ a mean proportional between the sine and cosecant. 
 
 24. The secant of an arc, is equal to the sum of its tangent and 
 the tangent of half its complement. Or, the secant of the difference 
 between an arc and its complement, is equal to the tangent of the 
 said difference added to the tangent of the less arc. 
 
 25. The secant of an arc, is equal to the difference between the 
 tangent of that arc and the tangent of the arc added to half its com- 
 plement. Or the secant of the difference between an arc and its 
 complement, is equal to the difference between the tangent of the said 
 difference and the tangent of the greater arc. 
 
 From some of these 25 theorems, extracted from the writers before 
 mentioned, and a few propositions of Euclid's elements, they compiled 
 the whole table of sines, tangents, and secants, nearly in the following 
 manner. By the elements were computed the sides of a few of the 
 regular figures inscribed in a circle, which were the chords of such 
 parts of the whole circumference as are expressed by the number of 
 sides, and therefore the halves of those chords the sines of the halves 
 of the arcs. So, if the radius be 10000000, the sides of the following 
 figures will give the annexed chords and sines. 
 
 The figure 
 
 Arc sub- 
 
 Its chord. 
 
 Half 
 
 Its sine. 
 
 tended 
 
 or side 
 
 arc 
 
 or 4 chord 
 
 Triangle 
 
 120" 
 
 17320508 
 
 60* 
 
 8660254 
 
 Square 
 
 90 
 
 14142136 
 
 45 
 
 7071068 
 
 Pentagon 
 
 72 
 
 11755705 
 
 36 
 
 5877853 
 
 Hexagon 
 
 60 
 
 10000000 
 
 30 
 
 5000000 
 
 Decagon 
 
 36 
 
 6180340 
 
 18 
 
 3090170 
 
 iQuindecagon 
 
 24 
 
 415S234 
 
 12 
 
 2079117 
 
 Of some, or all of these, the sines of the halves were continually 
 taken by theorem the 6th, 7th, or Sth, and of their complements 
 by the 3d ; then the sines of the halves of these, and of their com- 
 plements, by the same theorems ; and so on, alternately of the halves 
 and complements, till they arrived at an arc which is nearly equal to 
 its sine. Thus, beginning with the above are of 12 degrees, and its 
 sine, the halves v/ere obtained as follows: 
 
16 
 
 HISTORY OF 
 
 The halves 
 
 Tlieir Sines 
 
 6" 
 
 1045285 
 
 3 
 
 523360 
 
 I 30 
 
 261769 
 
 45 
 
 130896 
 
 The comp. 
 
 
 of these 
 
 
 84 
 
 9945218 
 
 87 
 
 9986295 
 
 88 30 
 
 9996573 
 
 89 15 
 
 9999143 
 
 The halves 
 
 
 of these 
 
 
 42 
 
 6691306 
 
 21 
 
 3583679 
 
 10 30 
 
 1822355 
 
 5 15 
 
 915016 
 
 43 30 
 
 6883545 
 
 21 45 
 
 3705574 
 
 44 15 
 
 6977905 
 
 The Comp. 
 
 Sines 
 
 of these 
 
 
 48" ' 
 
 7431448 
 
 69 
 
 9335804 
 
 79 30 
 
 9832549 
 
 84 45 
 
 9958049 
 
 46 30 
 
 7253744 
 
 6S 15 
 
 9288095 
 
 45 45 
 
 7163019 
 
 The halves 
 
 
 of these 
 
 
 24 
 
 4067366 
 
 34 30 
 
 5664062 
 
 17 15 
 
 2965416 
 
 39 45 
 
 6394390 
 
 23 15 
 
 3947439 
 
 The comp. 
 
 
 66 
 
 9135455 
 
 55 30 
 
 8241262 
 
 72 45 
 
 9550199 
 
 50 15 
 
 7688418 
 
 66 45 
 
 9187912 
 
 The halves 
 
 33» ' 
 
 16 30 
 
 8 15 
 
 27 45 
 
 ' " - 
 Sines 
 
 5446390 
 2840153 
 1434926 
 4656145 
 
 Comps. 
 57 
 
 73 30 
 81 45 
 62 15 
 
 8386706 
 9588197 
 9896514 
 8849876 
 
 HaRes 
 28 30 
 14 15 
 36 45 
 
 4771588 
 2461533 
 5983246 
 
 Comps. 
 61 30 
 75 45 
 53 15 
 
 8788171 
 9692309 
 8012538 
 
 Half 
 30 45 
 
 5112931 
 
 Comp. 
 59 15 
 
 8594064 
 
 The sines of sntiall arcs are then deduced in this manner: From 
 the sine of 45', above determined, are found the halves, which will 
 
 be thus: 45' 0" 130896 
 
 22 30 65449,4 
 
 11 15 32724,8 
 
 Now these last two sines being evidently in the same ratio as their arcs, 
 the sines of all the less single minutes will be found by single proportion. 
 So the 45th part of the sine of 45', gives 2909 for the sine of 1'; which 
 may be doubled, tripled, &c, for the sines of 2', 3', &c, up to 45'. 
 
 Then, from all the foregoing primary sines, by the theorems for 
 halving, doubling, or tripling, and by those for the sums and dif- 
 ferences, the rest of the sines are deduced, to complete the quadrant. 
 
 But having thus determined the sines and cosines of the first SO* 
 of the quadrant, that is, the sines of the first and last 30°, those of 
 the intermediate SO** are, by theor. 4, found by one single subtraction 
 for each sine. 
 
 The sines of the w-hole quadrant being thus completed, the tan- 
 gents are found by theor. 18, 19, 20, namely, for one half of the 
 quadrant by the 18th and 19th, and the other half by one single 
 addition or subtraction for each, by the 20th theorem. 
 
 And lastly by theor. 24 and 25, the secants are deduced from the 
 tangents, by addition and subtraction only. 
 
 Among the various means used for constructing the canon of sineSj 
 tangents, and secants, the writers above enumerated seem not to have 
 
TRIGONOMETRICAL TABLES, &c. l7 
 
 been possessed of the method of differences, so profitably used since, 
 and first of all I believe by Briggs, in computing his trigonometrical 
 canon and his logarithms, as we shall see hereafter, when we^ come to 
 describe those works. They took however the successive differences 
 cf the numbers after they were computed, to verify or prove the truth 
 of them ; and if found erroneous, by any irregularity in the last differ- 
 ences, from thence they had a method of correcting the original 
 numbers themselves. At least, this method is used by Pitiscus, Trig, 
 
 lib. 2, where the differences are extended to the third order. In 
 
 page 44 of the same book also is described, for the first time that I 
 know of, the common notation of decimal fractions, as now used. 
 And this same notation was afterwards described and used by baroa 
 Napier, in positio 4 and 5 of his posthumous works, on the construction 
 of logarithms, published by his son in the year 1619. But the decimal 
 fractions themselves may be considered as having been introduced 
 by Regiomontanus, by his decimal division of the radius &c, of the 
 circle ; and from that time gradually brought into use : but continued 
 long to be denoted after the manner of vulgar fractions, by a line 
 drawn between the numerator and denominator, which last however 
 was soon omitted, and only the numerator set down, with the line 
 below it; thus it was first 31^-11, then 31-^-^; afterwards, omitting 
 the line, it became 31'^, and lastly 31 35, or 31.35, or 31*35: as 
 may be traced in the works of Vieta, and others since his time, gra- 
 dually into the present century. 
 
 Having often heard it remarked, that the word sine, or in Latin and 
 French sinuSf is of doubtful origin ; and as the various accounts which 
 I have seen of its derivation are very different from one another, it 
 may not be amiss here to employ a few lines on this matter. Some 
 authors say, this is an Arabic word, others that it is the single Latin 
 vvord sinus; and in Montucla's Histolre des MatJiematiqiies it is conjec- 
 tured to be an abbreviation of two Latin words*. The conjecture h 
 thus expressed by the ingenious and teamed author of that excellent 
 history, at pa. xxxiii, among the additions and corrections of the first 
 volume: " A I'occaslon des sinus dont on parle dans cette page, comme 
 d'une invention des Arabes, voici un etymologic de ce nom, tout-a-fait 
 heureuse et vraisernblable. Je la dois a M. Godin, de I'Academie 
 Royale des Sciences, Directeur de I'Ecole de Marine de Cadix. Les 
 sinus sont, comme Ton S9ait, des moities de cordes ; et les cordes en 
 Latin se nomment inscriptis. I^es sinus sont done scmisses inscrlptarum, 
 ce que probablement on ecrivit ainsi pour abreger, S. Ins. Dela en- 
 suite s'est fait par abus le mot de sinus.'" Now, ingenious as this 
 conjecture is, tliere appears to be little or no probability for the truth 
 of it. For, in the first place, it is not in the least supported by quo- 
 tations from any of the more early books, to show that it ever was the 
 practice to write or print the words thus, S. Ins. on which the con- 
 jecture is founded. Again, it is said the chords me called in Latin , 
 inscriptce ; and it is true that they sometimes are so: but I think they 
 are more frequently called subtense, and the sines semisses subtemariim 
 
 * That Is, in the first edition of his bc»ok. But he has omitted this improbable conjecture in 
 the aew edition of 1799. 
 
 D 
 
18 HISTORY OF 
 
 of the double arcs, which will not abbreviate into the word sinus. 
 But it may be said, what reason liave we to suppose that this word is 
 eitlier a L^tin word, or the abbreviation of any Latin words vyhat- 
 ever ? and tliat it seems but proper to seek for the etymology of 
 worlds in the language of the inventors of the things. For which 
 reason it is, that we find the two other words, tangens and secans, are 
 Latin, as they were invented and used by authors who wrote in that 
 language. But the sines are acknowledged to have been invented 
 and introduced by the Arabians, and thence by analogy it would 
 seem probable that this is a word of their language, and from them 
 adopted, together with the use of it, by the Europeans. And indeed 
 Lansberg, in the second page of his trigonometry above mentioned, 
 expressly says that it is Arabic : His words are, Vox sinus Arabica est, 
 etproinde barhara ; sedcum longdusu approbata sit, et commodior non 
 suppetat, neqiiaquamrepndiandaest : faciles emmin verbis nos esse opor- 
 tet, cum de rebus couvenit. And. Vieta says something to the same pur- 
 port, in page 9 of his {Tniversalium Inspectionum ad Canonem Mathe^ 
 maticum Liber: His words are, Breve siuus vocabulum, cum sit artis, 
 Saracenis prcEsertim quam fatniliare, non est ab artificibus exploden- 
 dmn, ad later um sennssium inscriptorum deiwtationem, ^c. 
 
 Guarinus also is of the same opinion: in his EucJides Adauctus, ^c, 
 tract, XX. pa. S07, he says, Sfnus vero est nomenArabicumusurpatuni in 
 hanc significationem a matheinaticis ; though he was aware that a Latin 
 origin was ascribed to -it by Vitalis, for he immediately adds, LicH Vi~ 
 talis in suo Lexico Matkemaiico ex eo velit sinum appellatum, quod 
 claudat curvitatem arcus. 
 
 Long before I either saw or heard of any conjecture, or observation 
 concerning the etymology of the word sinus, I remember that I ima- 
 gined it to be taken from tlie same Latin word, signifying breast or bo- 
 som, and that our sine wiis so called allegorically. I had observed, 
 that several of the terms in trigonometry were derived from a bow to 
 shoot with, and its appendages ; as arcus, the bow, chorda, the string, 
 and sagitla, the arrow, by which name the versed sine, which repre- 
 sents it, was sometimes called ; also, tliat the tangens w^as so called 
 from its office, being a line touching the circle, and secans from its cut- 
 ting the same: I therefore imagined that the sinus was so called, either 
 from its resemblance to the breast or bosom, or frojn its being a line 
 dl-avvn within the bosom (sinus) of the arc, or from its being that part 
 of the string (chorda J of a bow (arcus) which is drawn near the 
 breast (^MHM.9) in the act of shooting. And perhaps Vitalis's defini- 
 tion, above quoted, has some allusion to the same similitude. 
 
 Also Vieta seems to allude to the same thing, in calling sinus an 
 allegorical word, in page 417 of his works, as published by Schooten, 
 where, with his usual judgement and {)recision, he treats of the pro- 
 priety of the terms used in trigonometry for certain lines drawn in 
 and about the circle ; of which, as it very w^ell deserves, I shall here 
 extract the principal part, to sliow the opinion and arguments of so 
 great a man on those names. " Arabes autem semisses inscriptas du- 
 plo, numeris prsesertim sestimatas, vocaverunt allegorice sinus, atque 
 ideo ipsam serai-diametrum, qme maxima est semissium inscriptarum, 
 Sinum Totum. Et de iis sud methodo canones exiverunt qui circuni- 
 
TRIGONOMETRICAL TABLES, &c. 19 
 
 feinintur, supputante prsesertim Regiomontano bene juste et accurate, 
 in iis etiam particulis qualium semidiameter adsumitur 10,000,000. 
 
 " Ex canoriilms dcinde sinuum derivaverunt recentiores canonem 
 semissium circumscriptarum, quem dix6re Fcecwulum ; et canonem 
 eductariim e centro, quem dix^re Foecundissimum et Beneficum, hypo- 
 tenusis addietum. Atque adeo sernisses circumscriptas, numeris prse- 
 sertim eestimatas, vocaverunt Fiecundos, Sinus mimerosve videlicet; 
 quanquain nihil vetat Fa^cundi nomen substantive accipi. Hypote- 
 nusas autein Beneticas, vel etiam simpliciter Hypotenusas : quoniam 
 hypotenusa in prima serie sinQs totius nomen retinet. Itaque ne no- 
 vitate verborum res adumbretur, et alioqui sua aitificibus, eo nomine 
 debita, pra^ripiatur gloria, prsepogita in C'anone Mathematico canon- 
 icis numeris inscriptio, candide admonet primam seriem esse Canonem 
 Sinuum. In secund^ vero, partem canonis fecundi, partem canonis 
 foecundissimi, contineri. In tertia, reliquam. 
 
 " Sane prseter inscriptas et circumscriptas, circulum etiam adficiunt 
 aliae line^e rectae, velut Incidentes, Tangentes, et Secantes. Verum 
 ill«e voces substantivse sun", non peripheriamm relativee. Ac secare qui- 
 dem circulum linea recta tunc intelligitur, cum in duobus punctis secat. 
 Itaque non loquuntur bene geometrice, qui eductas e centro ad metas 
 circumscriptarum vocant secantes improprie, cum secantes et tangen- 
 tes ad certos angulos vel peripherias referunt. Immo vero artem con- 
 fundunt, ciim his vocibus neccsse habeat uti geometra abs relatione. 
 
 "Quare si quibus arrideat Arabum metaphora; quae quidem aut 
 omnino retinenda videtur, aut omnino explodenda ; ut sernisses in- 
 scriptas, Arabcs vocant sinus; sic scnnsses circumscriptae, vocentur 
 Prosinus Amsinusve ; et eductas e centro Transsinuosae. Sin allego- 
 ria displiccat, geometrica sane inscriplarum et circum^'riptarum no- 
 mina retineantur. Et cum eductae e centro ad nietas circumscriptarum, 
 non habeant hactenus nomen certum nceue elegans, vocentur sane 
 prosemidiaii:ietri, quasi protensae semidiametri, se habentes ad suas 
 circumscriptas, sicut semidiametri ad inscriptas." 
 
 Against the Arabic origin however of this word fshiusj may be 
 urged its being varied according to the fourth declension of Latin 
 nouns like ??7rt?;M.s'; ahd that if it were an Arabic word latinised, it 
 w^ouid have been ranked under either the first, second, or third de- 
 clension, as is usual in such, adopted words. 
 
 So that, upon the whole, it will perhaps rather seem probable, that 
 the term sium is the Latin word answering to the name l)y which the 
 Saracens called that line, and not their word itself. And this conjecture 
 seems to be rendered still more probable by some expressions in pa. 4 
 and 5 of Otho's Preface to Rhetieus's Canon, where it is not ordy said, 
 that the Saracens called the lialf-chord of double the arc dims, but also 
 that they called the part of the radius lying between the sine and the arc 
 sinus versus, vel sagitta, which are evidently Latin words, and seem to 
 be intended for the Latin translations of the names by which the Ara- 
 bians called these lines. Or the numbers expressing the lengths of them. 
 
 And this conjecture has been confirmed and realised, by a reference 
 to Golius's Lexicon of the Arabic and Latin languages. In consequence 
 i find that the Arabic and Latin writers on trigonometry do both of 
 them use those words in the same allegorical sense, the latter beinff 
 
 D 2 
 
20 HISTORY OF 
 
 the Latin translations of the former, and not the Arabic words cor- 
 rupted. Thus the true Arabic word to denote the trigonometrical sine, 
 is U^A^, pronounced Jeih (reading the vowels in the French man- 
 ner), meaning sinits indusii, vestisgue, the bosom part of tlie garment : 
 the versed sine is >^>*J? Sehim, which is sagitta, the arrow; the arc is 
 , yj J5, which is arciis, the arc; and the chord is J> j, Vitr, that 
 is, chorda, the chord. 
 
 OF LOGARITHMS. 
 
 X HE trigonometrical canon of natural sines, tangents and secants, 
 being now brought to a considera1:)le degree of perfection, the great 
 length and accuracy of the numbers, together with the increasing 
 delicacy and number of astronomical problems and spherical triangles, 
 to the solution of which the canon was applied, urged many persons, 
 conversant in those matters, to endeavour to discover some means of 
 diminishing the great labour and time, requisite for so many multi- 
 plications and divisions, in such large numbers as the tables then con- 
 sisted of. And their chief aim was, to reduce the multiplications and 
 divisions to additions and subtractions, as much as possible. 
 
 For this purpose, Nicholas Raymer Ursus Dithmarsus invented an 
 ingenious method, which serves for one case in the sines, namely, 
 when radius is the first term in the proportion, and the sines of two 
 arcs are the second and third terms ; for he showed, that the fourth 
 term, or sine, would be found by only taking half the sum or difference 
 of the sines of two other arcs, which should be the sum and difference 
 of the less of the two former given arcs, and the complement of the 
 greater. This is no more, in effect, than the following well-known 
 theorem in trigonometry : as half radius is to the sine of one arc, so is 
 the sine of another arc, to the cosine of the difference 7mm(S the co- 
 sine of the sum of the said arcs. The author published this ingenious 
 device in 1588, in his Fundament um Astronoyni^. And three or four 
 years afterwards it was greatly improved by Clavius, who adapted it 
 to all proportions in the resolution of the spherical triangles, for all 
 sines, tangents, secants, versed sines, &c ; and that whether radius 
 be in the proportion or not. All which he explains very fully in lem» 
 53, lib. 1, of his treatise on the Astrolabe. See more on this subject 
 in Longomont. Astron. Danica, pa. 7? et seq. Tliis method, though 
 ingenious, depends not on any abstract property of numbers, but 
 only on the relations of certain lines, drawn in and about the circle; 
 and it was therefore rather limited, and sometimes attended with 
 trouble in the application. 
 
 After perhaps various other contrivances, incessant endeavours at 
 length produced the happy invention of logarithms, which are of direct 
 and universal application to all numbers abstractedly considered, being 
 derived from a property inherent in numbers themselves. This pro- 
 perty may be considered, either as the relation between a geometrical 
 series of terms and a corresponding arithmetical one, or as the relation 
 
LOGARITHMS. 21 
 
 between ratios and the measures of ratios, whlcli comes to mucli tlie 
 same thing, having been conceived in one of these ways by some of the 
 writers on tliis subject, and in the other by the rest of them, as well as 
 in both ways at different times by the same writer. A succinct idea 
 of this property, and of the probable reflections made on it by the 
 first writers on logarithms, may be to the tbllowing effect : 
 
 The learned calculators, al)out the close of the 16th, and begin- 
 ning of the 17th century, finding the operations of multiplication and 
 division by very long numbers, of seven or eight places of figures, which 
 they had frequently occasion to perform, in resolving problems relatinef 
 to geography and astronomy, to be exceedingly troublesome, set them- 
 selves to consider whether it was not possible to find some method of 
 lessening this labour, by substituting other easier operations in their 
 stead. In pursuit of this object, they reflected, that, since, in every 
 multiplication by a whole number, the ratio, or proportion, of the 
 product to the multiplicand, is the same as the ratio of the multiplier 
 to unity, it will follow that the ratio of the product to unity (which, ac- 
 cording to Euclid's definition of compound ratios, is compounded 
 of the ratios of the said product to the multiplicand and of the mul- 
 tiplicand to unity), must be equal to the sum of the two ratios of the 
 multiplier to unity and of the multiplicand to unity. Consequently, if 
 they could find a set of artificial numbers that should be the representa- 
 tives of, or should be proportional to, the ratios of all sorts of numbers 
 to unity, the addition of the two artificial numbers that should repre- 
 sent the ratios of any multiplier and multiplicand to unity, would an- 
 swer to the multiplication of the said multiplicand by the said multi- 
 plier, or the sum arising from the addition of the said representative 
 numbers would be the representative number of the ratio of the pro- 
 duct to unity; and consequently, the natural number to which it 
 should be found, in the table of the said artificial or representative 
 numbers, that the said sum belonged, would be the product of the said 
 multiplicand and multiplier. Having settled this principle, as the 
 foundation of their wished-for method of abridging the labour of cal- 
 culations, they resolved to compose a table of such artificial numbers, 
 or numbers that should be representatives of, or proportional to, the 
 ratios of all the common or natural numbers to unity. 
 
 The first observation that naturally occurred to them in the pursuit 
 of this scheme, was, that whatever artificial numbers should be chosen 
 to represent the ratios of other whole numbers to unity, the ratio of 
 equality, or of unity to unity, must be represented by ; because that 
 ratio has properly no magnitude, since, when it is added to, or sub- 
 tracted from, any other ratio, it neither increases nor diminishes it. 
 
 The second o])servation that occurred to them was, that any num 
 ber whatever might be chosen at pleasure for the representative of the 
 ratio of any given natural number to unity ; but that, when once such 
 choice was made, all the other representative numbers Avould be 
 thereby determined, because they must be greater or less than that first 
 representative number, in the same proportions in which the ratios re- 
 presented by them, or the ratios of the corresponding natural numbers 
 to unity, were greater or less than the ratio of the said given natural 
 number to unity. Thus, either 1, or 2, or 3, &c, might be chosen 
 for the representative of the ratio of 10 to 1. But, if 1 be chosen for it. 
 
22 HISTORY OF 
 
 tlie representative of the ratio of l()0.to 1 and 1000 to 1, which are 
 double and triple of the ratio of 10 to 1, must be 2 and 3, and cannot 
 be any other numbers : and if 2 be chosen for it, then the representa- 
 tives of tlie ratios of 100 to 1 and 1000 to 1, will be 4 and G, and cannot 
 be any other numbers; and if 3 be chosen for it, tlien the representa- 
 tives of the ratios of 100 to 1 and 1000 to 1, will be 6 and 9, and 
 cannot be any other numbers ; and so on. 
 
 The third observation that occurred to them was, that^ as these arti- 
 ficial numbers were representatives of, or proportional to, ratios of the 
 natural numbers to unity, they must be expressions of the num])ers of 
 some smaller equal ratios that are contained in the said ratios. Thus, 
 if 1 be taken for the representative of the ratio of 10 to 1, then 3, 
 which is the representative of the ratio of 1000 to 1, will express the 
 number of ratios of 10 to 1 that are contained in the ratio of 1000 to 1. 
 And if, instead of 1, we make 10,000,000, or ten millions, the represen- 
 tative of the ratio of 10 to 1 (in which case 1 will be the representative 
 of a very small ratio, or ratiuncula, which is only the ten-millionth part 
 of the ratio of 10 to 1, or will be the representative of the 10,000,000th 
 root of 10, or of the first or smallest of 9,999,999 mean proportionals 
 interposed between 1 and 10), the representative of the ratio of 1000 to 
 1, which will in this case be 30,000,000, will express the number of 
 those raihuncuJa^f or small ratios of the 105000,000th root of 10 to 1, 
 which are contained in the said ratio of 1000 to 1. And the like may 
 be sliown of the representative of the ratio of any other number to 
 unity, ilnd tlierefore they thought these artificial numbers, whicli 
 thus represent, or are proportional to, the magnitudes of the ratios 
 of the natural numbers to unity, might not improperly be called the 
 LoGARiieMs of those ratios, since they express tlie numbers of 
 smaller ratios of which they are composed. And then, for the sake 
 of brevity, they called tlieni the Logarithms of the said natural number.^ 
 themsekes, which are the antecedents of the said ratios to unity, of 
 which they are in truth the representatives. 
 
 The foregoing method of considering this property leads to much 
 the same conclusions as the other way, in which the relations between 
 a geometrical series of terms, and their exponents, or the terms of an 
 arithmetical series, ai-e contemplated, la tliis latter way, it readily 
 occurred that the addition of the terms of the arithmetical series cor- 
 responded to the multipliciition of the terms of the geometrical series ; 
 and that the arlthmeticals would therefore form a set of artificial 
 numl)ers, which, v»'hen arranged in tables, with their geometricals, 
 would answer the purposes desired, as has been explained above. 
 
 From this property, by assuming four quantities, tvv'o of tliem as two 
 terms in a geometrical series, and the others as the two corresponding 
 terms of the arithmeticals, or artificials, or logarithms, it is evident 
 that all the other terms of both the two series may thence be generated. 
 And therefore there may be as many sets or scales of logarithms as we 
 please, since tiiey depend entirely on the arbitrary assumption of the 
 first two arithmeticals. And all possible natural numbers may be 
 supposed to coincide with some of the terms of any geometrical pro- 
 gression whatever, the logarithms or arithmeticals determining wliich 
 of the terms in that progression they are. 
 
 It was proper however that the arithmetical series should be so as- 
 
LOGARITHMS. 23 
 
 sumed, as that the term in it might ansvrer to the term 1 in the geo- 
 metricals; otherwise the sum of the logarithms of any two numbers 
 would be always to be diminished by the logarltlmi of 1, to give the 
 iogaritlim of the product of those numbers: for which reason, making 
 O tlie logarithm of 1, and assuming any quantity whatever for the value 
 of the logarithm of any one number, the logarithms of all other num- 
 bers were thence to be derived. And hence, like as the multiplication 
 of two numbers is effected by barely adding tlieir logarithms, so divi- 
 sion is performed by subtracting the logarithm of the one from that 
 of the otiier, raising of powers by multiplying the logarithm of the 
 given number by the index of the power, and extraction of roots by 
 ''dividhig tlie logarithm by the index of the root. It is also evident, that 
 in all scales or systems of logarithms, the logarithm of O will be infinite ; 
 namely, infinitely negative if the logarithms increase with the natural 
 numbers, but infinitely positive if the contrary; because that while the 
 geometrical series must decrease through infinite divisions by tlie ratio 
 of the progression, before the quotient come to or nothing; the loga- 
 rithms, or arithmeticals, will in like manner undergo the correspond- 
 ing infinite subtractions or additions of the common equal difference; 
 which equal increase or decrease, thus indefinitely continued, must 
 needs tend to an infinite result. 
 
 This however was no newly-discovered property of numbers, but 
 what was always well known to all mathematicians, being treated of 
 in the writings of Euclid, as also by Archimedes, who made great 
 use of it in his Arenarins, or treatise on the number of the sands, 
 namely, in assigning the rank or place of those terms, of a geometrical 
 scries produced from the multij)lication together of any of the fore- 
 going terms, by the addition of the corresponding terms of the arith- 
 metical series, which served as the indices or exponents of the former. 
 Stifelius also treats very fully of this property at folio 35 et seq. and 
 there explains all its principal uses, as relating to the logarithms of 
 numbers, only without the name ; such as, tliat addition answers to 
 multiplication, subtraction to division, multiplication of exponents to 
 Involution, and dividing of exponents to evolution ; all which he ex- 
 emplifies in tiie rule- of- three, and in finding several mean propor- 
 tionals, &c, exactly as is done in logarithms. So that he seems to have 
 been" in the fidl possession of the idea of logarithms, but without the 
 necessity of making a. table of such numbers. For, the reason why 
 tables of these numbers were not soonci" composed, was, tliat the ac- 
 curacy and trouble of trigonometrical computations had not sooner 
 rendered them necessary. It is therefore not to be d<^ubted, that 
 about the close of the sixteenth and begijming of the seventeenth 
 century, many persons had thoughts of such a table of numbers, be- 
 sides the few who are said to have attempted it. 
 
 It has been said by some, that Longomontanus invented logarithms : 
 but this cannot well be supposed to have been any more than in idea, 
 since lie never published any thing of the kind, nor ever laid claim to 
 the invention, though he lived thirty-three years after they were first 
 
24 HISTORY OF 
 
 published by baron Napier, as he died only in 1647, when they had 
 been long known and received all over Europe. Nay more, Lon- 
 goniontanus himself ascribes the invention to Napier: vid. Astron. 
 Danica, p. 7j ^C' Some cireumstanees af this matter are indeed re- 
 lated by Wood in his Athencc O.Tonienses, under the article Briggs, on 
 the authority of Oughtred and Wingate, viz. " That one Dr. Craig, 
 a Scotchman, coming out of Denmark into his own country, called 
 upon Job. Neper baron of Marcheston near Edenburg, and told him, 
 among other discourses, of a new invention in Denmark (by Longo- 
 montanus as 'tis said) to save the tedious multiplication and division in 
 astronomical calculations. Neper being solicitous to know farther of 
 him concerning this matter, he could give no other account of it, 
 than that it was by proportional numbers. Which hint Neper 
 taking, he desired him at his return to call upon him again. Craig, 
 after some weeks had passed, did so, and Neper then showed him a 
 rude draught of that he called Canon mirabiUs Logarithmomm, Which 
 draught, with some alterations, he printing in 1614, it came forth- 
 with into the hands of our author Briggs. and into 'those of Will. 
 Oughtred, from whom the relation of this matter came.*' 
 
 Kepler also says, that one Juste Byrge, assistant astronomer to the 
 
 landgrave of Hesse, invented or projected logarithms long before Neper 
 
 c did ^ but that they had never come abroad, on account of the great 
 
 '^ reservedness of their author with regard to his own compositions. It is 
 
 also said that Byrge computed a table of natural sines for every two 
 
 seconds of the quadrant. 
 
 But whatever may have been said, or conjectured, concerning any 
 thing that may have been done by others, it is certain that the world 
 is indebted, for the first publication of logarithms, to John Napier, of 
 Nepair*, or in Latin, Neper, baron of Merchiston, or Markinston^ 
 
 * The origin of which name, Crawfurcl informs us, was from a (less) peerZe55 action of 
 one of his ancestors, viz. Donald, second son of the earl of Lenox, in the time of David 
 the Second. " Sorae English writers, mistaking the import of the term lamiy have 
 called this celebrated person lord Napier, a Scotch nobleman. He was not indeed a peer 
 of Scotland : but the peerage of Scotland informs us, that he was of a very ancient, ho- 
 nourable, and illustrious family ; that his ancestors, for many generations, had been possessed 
 of sundry baronies, and, amongst others, of the barony of Merchistoun, which descended to 
 him by the death of his father in 1608. Mr. Briggs, therefore, very properly styles him 5ar» 
 MerchextoJiii. Now, according to Skene, deverlm^um signijicalione, * In this realm (of Scotland), 
 he is called a Barronne, qnha haldis his landes immediatelie in chief of the king, and hes^ 
 power of Pit and Gallows; Fossa et Furca; quhilk was first institute and granted be king 
 Malcome, quha gave power to the Barrones to have ane Pit, quhairin women condemned for 
 thieft suld be drowned, and ane Gallows, whereupon men thieves and trespassowres suld be hangw 
 ed, conforme to the doome given in the Barron Court thereanent.' So that a Scotch baron, 
 though no peer, was nevertheless a very considerable personage, both in dignity and power." 
 Read's Essay on Logarithms . . . The name of the illustrious inventor of logarhhms, and his family, 
 has been variously written at different times, and on different occasions. In his own Latin 
 works, and in (perhaps) all other books in Latin, it is Neper, or Nepenis Baro Mercheslonii ; 
 By Briggs, in a letter to Archbishop Usher, he is called Neper lord of Markbistoii: In Wright's 
 translation of the Logarithms, which was revised by the author himself, and pub- 
 Hshed in 1616, he is called Nepair, laron of Marchiston;- and the same by Crawfurd 
 and some others: But M'Kenzie and othsrs write it Napier, haron of Merchiston ^ 
 which being also the orthography now used by the family, I shall adopt in this 
 worjc. I observe aUo, that the' Scotch Compendiuuj of Honour says he was only 
 
LOGARITHMS. 2b 
 
 in Scotland^ who died the 3d of iVpril 1618, at G7 years of age. Ba- 
 ron Napier added considerable improvements to trigonometry, and the 
 frequent numeral computations he performed in this branch gave oc- 
 casion to his invention of logaritlmis, in order to save part of the 
 trouble attending those calculations : and for this reason he adapted his 
 tables peculiarly to trigonometrical uses. 
 
 This discovery he published in 1614, in his book intitled Mlrifici 
 Logarithmorum Canonis Descriptio, reserving the construction of the 
 numbers till the sense of the learned concerning his invention should 
 be known. And, excepting the construction, this is a perfect w^ork 
 on this kind of logarithms, containing in effect the logarithms of all 
 numbers, and the logarithmic sines, tangents, and secants, for every 
 minute of the quadrant, together with the description and uses of the 
 tables, as also his definition and idea of logarithms. 
 
 Napier explains his notion of logarithms by lines described or ge- 
 nerated by the motion of points, in this manner : He first conceives a 
 line to be generated by the equable motion of a point, which passes over 
 equal portions of it in equal small moments or portions of tinie : he 
 then considers another line as generated by the unequal motion of a 
 point, in such manner that, in the aforesaid equal moments or portions 
 of time, there may be described or cut off, Irom a given line, parts 
 which shall be continually in the same proportion with the respective 
 .remainders, of that line, which had before been left : then are the se- 
 veral lengths of the first line, the logarithms of the corresponding parts 
 of the latter. Which description of them is similar to this, that the 
 logarithms are a series of quantities or numbers in arithmetical pro- 
 gression, adapted to another series in geometrical progression. The 
 first or whole length of the line, which is diminished in geometrical pro- 
 gression, he makes the radius of a circle, and its logarithm or no- 
 thing, representing the beginning of the first or arithmetical line ; and 
 the several proportional remainders of the geometrical line, are the na- 
 tural sines of all the other parts of the quadrant, decreasing down to 
 nothing, while the successive increasing values of the arithmetical line, 
 are the corresponding logarithms of those decreasing sines : so that, 
 while the natural lines decrease from radiiis to nothing, their loga- 
 rithms increase from nothing to infinite. Napier made the logarithm 
 of radius to be 0, that he might save the trouble of adding and sub- 
 tracting it, in trigonometrical proportions, in which it so frequently 
 occurred ; and he made the logarithms of the sines, from the entire 
 quadrant down to 0, to increase, that they might be positive, and so in 
 his opinion the easier to manage, the sines being of more frequent use 
 than the tangents and secants, of which the whole of the latter and half 
 the former would, in his way, be of a different affection from the sines ; 
 for it is evident that the logarithms of all the secants in the quadrant, 
 and of all the tangents above 45*^, or the half quadrant, would be nega- 
 tive, being the logarithms of numbers greater than the radius, whose 
 logarithm is made equal to or nothing. 
 
 Sir John Napier, and that his son and heir Archibald, was the first lord, being raised to tliit 
 dignity in 1626. Be this however as it may, I shall conform to the common modes of expres- 
 sion, and call Uira indifferently, Baron Napier y or Lord Napier, 
 
26 
 
 HISTORY or 
 
 As to tlie contents of Napier's table; it consists of the natural sinea 
 and their logarithms, for every minute of the quadrant. Like most 
 other tables, the arcs are continued to 45 degrees from top to bottom 
 on the left-hand side of the pages, and then returned backwards from 
 bottom to top on the right-hand side of the pages : so that the arcs and 
 their complements, with the sines, natural and logarithmic, stand on 
 the same line of tlie page, in six columns; and in another column, in 
 the middle of the page, are placed the differences between the lo- 
 garithmic sines and cosines on the same lines, and in the adjacent co- 
 lumns on the right and left; thus making in all seven columns in each 
 page. Of these columns, the first and seventh contain the arc and its 
 complement, in degrees and minutes; the second and sixth, the natural 
 sine and cosine of each arc ; the third and fiftli, the logarithmic sine 
 and cosine ; and the fourth, or middle column, the difference between 
 the logarithmic sine and cosine which are in the third and fifth columns. 
 To elucidate the description, the first page of the table is here inserted, 
 as follows : 
 
 Gr. 
 
 min. 
 
 
 
 Sinus. 
 
 Logarithmi. 
 
 + 1 - 
 Differentiae. 
 
 Logarithmi. 
 
 Sinus. 
 
 
 
 1 
 
 2 
 
 
 2909 
 5818 
 
 Infinitum. 
 81425681 
 74494213 
 
 Infinitum. 
 81425680 
 74494211 
 
 
 
 1 
 2 
 
 10000000 
 
 10000000 
 
 9999998 
 
 60 
 59 
 
 58 
 
 3 
 
 4 
 5 
 
 6 
 
 7 
 8 
 
 8727 
 11636 
 14544 
 
 70439564 
 67562746 
 65331315 
 
 70439560 
 67562739 
 65331304 
 
 4 
 
 7 
 11 
 
 9999996 
 9999993 
 9999969 
 
 57 
 56 
 55 
 
 54 
 53 
 52 
 
 17453 
 20362 
 23271 
 
 63508099 
 61966595 
 60631284 
 
 63508083 
 61966573 
 60631256 
 
 16 
 
 22 
 28 
 
 9999984 
 9999980 
 9999974 
 
 9 
 10 
 11 
 
 26180 
 29088 
 31997 
 
 59453453 
 58399867 
 57446759 
 
 59453418 
 58399814 
 57446707 
 
 35 
 43 
 52 
 
 9999967 
 9999959 
 9999950 
 
 51 
 50 
 49 
 
 12 
 13 
 14 
 
 34906 
 37815 
 40724 
 
 56576646 
 55776222 
 55035148 
 
 56576584 
 55776149 
 55035064 
 
 62 
 73 
 84 
 
 9999940 
 9999928 
 9999917 
 
 48 
 47 
 46 
 
 15 
 16 
 17 
 
 43632 
 46541 
 49450 
 
 54345225 
 53699843 
 53093600 
 
 54345129 
 53699734 
 53093577 
 
 96 
 109 
 123 
 
 9999905 
 9999892 
 9999878 
 
 45 
 44 
 43 
 
 18 
 19 
 20 
 
 52359 
 55268 
 58177 
 
 52522019 
 51981356 
 51468431 
 
 52521881 
 51981202 
 51468361 
 
 138 
 154 
 170 
 
 9999863 
 
 ^9999847 
 
 9999831 
 
 42 
 41 
 40 
 
 21 
 
 22 
 23 
 
 61086 ^ 
 63995 i 
 66904 1 
 
 50980537 
 50515342 
 5{X)70827 
 
 50980450 
 50515137 
 50070603 
 
 187 
 205 
 224 
 
 9999813 
 9999795 
 9999776 
 
 39 
 38 
 
 37 
 
 24 
 25 
 26 
 
 69813 
 72721 
 75630 
 
 49645239 
 49237030 
 48844826 
 
 49644995 
 49236765 
 48844539 
 
 244 
 265 
 
 287 
 
 9999756 
 9999736 
 9999714 
 
 36 
 35 
 34 
 
 27 
 28 
 29 
 
 78539 
 81448 
 84357 
 
 48467431 
 48103763 
 47752859 
 
 48467122 
 48103431 
 47752503 
 
 309 
 332 
 336 
 
 9999692 
 999966S 
 9999644 
 
 33 
 32 
 31 
 
 30 
 
 87265 j 
 
 47418852 47413471 | 381 | 
 
 9999619 
 
 30 , 
 
 80 
 
LOGARITHMS. ^ 2? 
 
 Besides tlie columns which are actually contained in this table, as 
 above exhibited and described, namely, the natural and logarithmie 
 sines and their differences, the same table is made to serve also for the 
 ^Jogaritlmi^ic. tangents and secants of the whole quadrant, and for the 
 logaritlims of common nujnbers. For, the fourth or middle column 
 contains the logcirithmic tangents, being equal to the differences be- 
 tween the logarithmic sines and cosines, when the logarithm of radius 
 is 0, because cosine : sine : : radius : tangent, that is, in logarithms, 
 tangent n sine — cosine. Also the logarithmic sines, made negative, 
 become the logarithmic cosecants, and the logarithmic cosines made 
 negative, are the logarithmic secants; because sine : mdius : : radius : 
 cosecant, and cosine : radius : : radius : secant; that Is, in logarithms, 
 cosecant zz: — sine zz — sine, and secant =r — cosine :=. — co- 
 sine. And to make it answer the purpose of a table of logarithms of 
 common numbers, the author directs to proceed thus : A number be- 
 ing given, find that number in any table of natural sines, or tangents, 
 or secants, and note the degrees and minutes in its arc : then in his 
 table find the corresponding logarithmic sine, or tangent, or secant, to 
 the same number of degrees and minutes ; and it will be the required 
 logarithm of the given number. 
 
 After his definitions and descriptions of logarithms, Napier explains 
 his table, and illustrates the precepts with examples, showing how to 
 take out the logarithms of sines, tangents, secants, and of common 
 * numbers ; as also how to add and subtract logarithms. He then pro- 
 ceeds to teach the uses of those numbers ; and first, in finding any 
 of the terms of three or four proportionals, showing how to multiply 
 and divide, and to find powei's and roots, by logarithms : 2dly, in tri- 
 gonometry, both plane and spherical, but especially the latter, in which 
 he is very explicit, turning all the theorems for every case into loga- 
 rithms, computing examples to each in numbers, and then enumerat- 
 ing a set of astronomical problems of the sphere which properly belong 
 to each case. Napier here teaches also some new theorems in spherical 
 trigonometry, particularly, that the tangent of half the base : tang. | 
 sum legs : : tang, f dif. legs : tang, i the alternate base ; and the ge- 
 neral theorem for what are called his five circular parts, by which he 
 condenses into one rule, in two parts, the theorems for all the cases 
 of right-angled spherical triangles, which had been separately demon^- 
 «trated by Pitiscus, Lansbergius, Copernicus, Regiomontanus, and 
 others. 
 
 The description and use of Napier's canon being in the Latin lan^ 
 guage, they were translated into English by Mr. Edward Wright, 
 an ingenious mathematician, and inventor of the principles of what 
 has commonly, though erroneously, been called Mercator's Sailing. 
 He sent the translation to the author, at Edinburgh, to be revised by 
 him before publication; who having carefully perused it, returned 
 it with his approbation, and a few lines introduced besides into the 
 translation. But, Mr. Wright dying soon after he received it back. 
 It was after his death published, together with the tables, but each 
 
 E2 
 
28 HISTORY OF 
 
 number to one fissure less, in the year 1616", by bis son, Samuel 
 Wright, aceompaiiied with a dedication to the East India Company, 
 as also a preface by Henry Brigs^s, of whom we shall presently have 
 occasion to speak more at large, on account of the great share he bore 
 in perfecting the logarithms. In this translation, Mr. Briggs gave 
 also the description and draught of a scale tliat had been invented by 
 Mr. Wright, and several other methods of his own, for finding tbe pro- 
 portional parts to intermediate numbers, the logarithms having been 
 only printed for such numbers as were the natural sines of each 
 minute. And the note wliich Baron Napier inserted in this English 
 edition, and whicli was not in the original, was as follows : " But be- 
 " cause the addition and subtraction of these former numbers may seem 
 " somewhat painfull, I intend (if it shall please God) in a second edition, 
 ^^ to set out such logarithms as shall make those numbers above written 
 " to fall upon decimal numbers, such as 100,000,000, 200,000,000 
 '' 300,000,000 &c, which are easie to be added or abated to or from 
 " any other number." This note had reference to the alteration of tlie 
 scale of logarithms, in such manner, that 1 should become the loga- 
 rithm of the ratio of 10 to 1, instead of the jiujQiWrg-S^^ 
 Napier had made that logarithm in' his table, and which alteration had 
 before been recommended to him by Briggs, as we shall see presently. 
 Napier also inserted a similar remark in his Rabdologia, which he 
 printed at Edinburgh in 1617. 
 
 Tbe following is the preface to Wright's * book, which, as far as 
 
 * Of this ingenious man I sh<ill here Insert in a note the following memoirs, as thev have 
 been translated from a Latin piece taken out of the annals of Gonvile and Caius College at 
 Cambridge, viz. " This year (1615) died at London, Edward Wright of Garveston in Norfolk, 
 formerly a fellow of this college; a man respected by all for the integrity and simplicity of his 
 manners, and also famous for his skill in the mathematical sciences : insomuch that he was 
 deservedly styled a most excellent mathematician by Richard Hackluyt, the author of an original 
 treatise ef our English navigations. What knowledge he had acquired in the science of 
 mechanics, and how usefully he employed that knowledge to the public as well as private ad- 
 vantage, abundantly appear both from the writings he published, and from the many mechanical 
 operations still extant, which are standing monuments of his great industry and ingenuity. He 
 was the first undertaker of that difficult but useful work, by which a little river is brought from 
 the town of Ware in a new canal, to supj)ly the city of London with water; but by the tricks of 
 others he was hindered from completing tJie work he had begun. He was excellent both in 
 contrivance and execution ; nor was he inferior to the most ingenious mechanic in the making of 
 instruments, either of brass, or any other matter. To his invention is owing whatever advantage 
 Hondius's geographical charts have above others; for it was our Wright that taught Jodocus 
 Hondius the method of constructing them, which was till then unknown : but the ungrateful 
 Hondius concealed the name of the true author, and arrogated the glory of the invention to him- 
 self. Of this fraudulent practice the good man could not help complaining, and justly enough, 
 in the preface to his Treatise of the Correction of Errors in the Art of Navigation ; which he 
 composed with e^ellent judgement, and after long experieace, to the great advancement of naval 
 affairs. For the improvement of this art he was appointed mathematical lecturer by the East- 
 India Company, and read lectures in the house of that worthy knight Sir Thomas Smith, for 
 which he had a yearly salary of fifty pounds. This office he discharged with great reputation, 
 and much to the satisfaction of his hearers. He published in English, a book on the doctrine of 
 /lie sphcie, and another concerning the construction of sun-dials. He also prefixed an ingenious 
 prefacte to tiic learned Gilbert's book on the load-stone. By tliese and other his writings, he has 
 transmitted his fame to latest posterity. While he was yet a fellow of this college, he could not 
 be concealed in his private study, but was called forth to the public business of the kingdom, by 
 
LOGARITHMS. 29 
 
 where it mentions the change from the Latin Into English, is a literal 
 translation of the preface to Napier's original ; but what follows that, 
 is added by Napier himself. And I willingly insert it here, as it con- 
 tains a declaration of the motives which led to this discovery, and as 
 the book itself is very scarce. " Seeing tjiere is nothing (right well 
 beloved students in the mathematics) that is so troublesome to Mathe- 
 maticall practise, nor that doth more molest and hinder Calculators, 
 than the Multiplications, Divisions, square and cubical Extractions 
 of great numbers, which, besides the tedious expence of time, are for 
 the most part subject to many slippery errors : I began tlierefore to 
 consider in my minde, by what certaine and ready Art 1 might remove 
 those hindrances. And having thought upon many things to this pur- 
 pose, I found at length some excellent briefe rules- to be treated of 
 (perhaps) hereafter. But amongst all, none more profitable than this, 
 which together with the hard and tedious Multiplications, Divisions, 
 and Extractions of rootes, doth also cast away from the worke it selfe, 
 even the very numbers themselves that are to be multiplied, divided, 
 and resolved into rootes, and putteth other numbers in their place, 
 which performe as much as they can do, onely by Addition and Sub- 
 traction, Division by two, or Division by three ; which secret inven- 
 tion, being (as all other good things are) so much the better as it shall 
 be the more common ; 1 thought good heretofore to set forth in Latine 
 for the publique use of Mathematicians. But now some of our Coun- 
 trymen in this Island well affected to these studies, and the more pub- 
 lique good, procured a most learned Mathematician to translate the 
 same into our vulgar English tongue, who after he had finished it sent 
 the Coppy of it to me, to be scene and considered on by myself. I 
 having most willingly and gladly done the same, finde it to be most 
 exact and precisely conformable to my minde and the originall. 
 Therefore it may please you who are inclined to these studies, to re- 
 ceive it from me and the Translator, with as much good will as we 
 recommend it unto you. Fare yee well.^' 
 
 There are also extant copies of Wright's translation with the date 
 IGIS in the title : but this is not properly a new edition, being only the 
 old work with a new title-page adapted to it (the old one being cancel- 
 led), together with the addition of sixteen pages of new matter, called 
 
 the queen's majesty, about the year 1593. He was ordered to attend the earl of Cumberland in 
 some maritime expeditions. One of these he has given a faithful account of, in the way of a 
 journal or ejiliemerls, to which he has prefixed an elegant hydrographical chart of his own con- 
 trivance. A little before his death, he employed himself about an English translation of tlie 
 book of logarithms then lately found out by the honourable Baron Napier, a Scotchman, who 
 had a great affection for him. This posthumous work of his was published soon after, by his 
 only son Samuel Wright, who was also a scholar of this college. He had formed many other 
 useful designs, but was hindered by death from bringing them to perfection. Of him it may be 
 truly said, that he studied more to serve the public than himself; and though he was rich in 
 fame, and in the promises of the great, yet he died poor, to the scandal of an ungrateful age." 
 
 Other anecdotes of him, as well as many other mathematical authors, may be found in the 
 curious history of navigation by Dr. James Wilson, prefixed to Mr. Robertson's excellent treatise 
 on that subject. 
 
so HISTORY OF 
 
 " An Appendix to tlie Logarithms, showing the practice of the calcu- 
 lation of triangles, and also a new and ready way for the exact finding 
 out of such lines and logaritnms as are not precisely to he found in the 
 canons." But we are not told by what author : probably it was by 
 Brig,gs. 
 
 Besides the trouble attending Napier's canon, in finding the propor- 
 tional parts, when used as a table of the logarithms of common num- 
 bers, and which was in part remedied by the fore-mentioned con- 
 trivances of Wright and Briggs, it was also accompanied with another 
 inconvenience, which arose from the logarithms being sometimes + 
 or additive, and sometimes — or negative, and which required there- 
 fore the knowledge of algebraical addition and subtraction. And this 
 inconvenience was occasioned, partly by making the logarithm of 
 radius to be 0, and the sines to decrease, and partly by the compendious 
 manner in which the author had formed the table ; making the three 
 columns of sines, cosines, and tangents, to serve also for the other three 
 of cosecants, secants, and cotangents. 
 
 But this latter inconvenience was well remedied by John Speidell, in 
 his Neiv Logarithins, first published in 1619, which contained all the 
 six columns, and in this order; sines, cosines, tangents, cotangents, 
 secants, cosecants : and they were besides made all positive, by being 
 taken the arithmetical complements of Napier's, that is, they, were the 
 remainders left by subtracting each of these latter from 10000000. 
 And the foriiier ihcorivenience was more effectually removed by the 
 said Speidell, in an additional table, given in the sixth impression of 
 the former work, in the year 1624. This was a table of Napler'f 
 logarithms for tlie round or integer numbers 1, 2, 3, 4, 5, &c, to 1000, 
 together with the differences and arithmetical complements ; as also 
 the halves of the said logarithms, with their differences and arithme- 
 tical complements ; which halves consequently were the logarithms of 
 the square roots of the said numbers. These logarithms are however a 
 little varied in their form from Napier's, namely, so as to Increase Ji'0)7i 
 1, whose logarithm is 0, instead of decreasing to 1, or radius, whose 
 logaritiim Napier made likewise ; that is, Speldell's logarithm of any 
 .^iimgher % is equal to Napier's logarithm of its reciprocal ^,: so that in 
 this kst table of Speldell's, the logarithm of 1 being 0, the logarithm of 
 10 is 2302584, the logarithm of 100 is twice as much, or 4605168, 
 and that of 1 000 thrice as much, or 6907753. S ^ t ' %^' 
 
 This table is now commonly called hyperbolic logarithms, because 
 the numbers express the areas between the asymptote and curve of the 
 hyperbola, those areas being limited by ordlnates parallel to the other 
 asymptote, and the ordlnates decreasing in geometrical progression. 
 But this is not a very proper method of denominating them, as such 
 areas may be made to denote any system of logarithms whatever, as we 
 sliall show more at large In the proper place. 
 
 In the year 1619, Robert Napier, son of the inventor of logarithms, 
 published a new edition of his late father's Logarithmorum Canoim 
 Desaiptioj together with the promised Logarithmorum Canoms Con^ 
 
LOGARITHMS. 81 
 
 structlo, and otlier miscellaneous pieces, written by his father and 
 by Mr. Brlggs. — Also one Bartholomew Vincent, a bookseller at 
 Lugdunum, or Lyons, in France, printed there an exact copy of 
 the same two works in one volume, in the year 1620; which was 
 four years before the logarithms were carried to France by WIngate, 
 who was therefore erroneously said to have first introduced them into 
 that country. But I shall treat more particularly of the contents of 
 this work, after having enumerated the other writers on this kind of 
 logarithms. 
 
 In 1618 or 1619, Benjamin Ursinus, mathematician to the Elector 
 of Brandenburgh, published, at Cologn, his Cursus Mathematicus, in 
 which Is contained a copy of Napier's logarithms, with the addition of 
 some tables of proportional parts. And In 1624, he printed at the same 
 place, his Trigonometria, with a table of natural sines and their loga- 
 rithms, of the Naj^ieriankii)^, and form, to every ten seconds in the 
 quadrant ; whlclThelrad been at much pains in computing. 
 
 In the same year 1 624, logarithms, of nearly the same kind, were 
 also published, at Marpurg, by the celebrated John Kepler, matliema- 
 tician to the Emperor Ferdinand the Second, under the title of Chilias 
 Logarithmorum ad Totidem Numeros Rotundos, prczmissa Demon- 
 stratione legitimn Orfus Logarithmorum eonmique Usus, ^c; and the 
 year following, a supplement to the same ; being applied to round or 
 integer numbers, and to such natural sines as nearly coincide with 
 them. These are exactly the same kind of logarithms as Napier's, be- 
 ing the same logarithms of the natiifal sines of arcs, beginning from 
 the quadrant, whose sine or radius is 10,000,000, the logarithm of 
 which Is made 0, and from tlience the sines decreasing by equal dif- 
 ferences, down to 0, or the beginning of the quadrant, while their 
 logarithms increase to infinity. So that the dliference between this 
 table and Napier's, consists only In this, namely, that in Napier's table 
 the arc of the quadrant is divided into equal parts, differing by one 
 minute each, and consequently their sinei, to which the logarithms are 
 adapted, are Irrational or Interminate numbers, and only expressed by 
 approximate decimals ; whereas in Kepler's table, the radius is divided 
 into equal parts, which are considered as perfect and terminate sines, 
 having equal differences, and to which terminate sines the logarithms 
 are here adapted. By this means indeed the proportions for interme- 
 diate numbers and logarithms are easier made, but then the corres- 
 ponding arcs are not terminate, but irrational, and only set down to an 
 approximate degree. So that Kepler's table Is more convenient as a 
 table of the logarithms of common numbers, and Napier's as the loga- 
 rithmic sines of the arcs of the quadrant. In both tables, the loga- 
 rithm of the ratio of 10 to 1, is the same quantity, namely 23025852; 
 and as the radius, or greatest sine, is 10,000,000, whose logarithm is 
 made 0, the logarithms of the decuple parts of It will be found by add- 
 ing 23025S52 continually, or multiplying this logarithm by 2, 3, 4, 
 &c ; and hence the logarithm of 1, the first number, or smallest sine, 
 in the table, Is 1611 80959, or 1 times 2302 &c. 
 
 Besides the two columns, of the natural sines and their logarithm's, 
 
32 
 
 HISTORY OF 
 
 with the differences of the logarithms, this table of Kepler's consists 
 also of three other columns ; the first of which contains tlie nearest 
 arcs, belonging to those sines, expressed in degrees, minutes and 
 seconds ; and the other two express what parts of the radius each sine 
 is equal to, namely, the one of them in 24th parts of the radius, and 
 minutes and seconds of them ; and the other in 60th parts of the ra- 
 dius, and minutes of them. As a specimen I have here extracted the 
 last page of the table printed exactly as in the work ; 
 
 
 Arcus 
 
 Sinus 
 
 Partes vice- 
 
 LOGARITHMI 
 
 Partes 
 
 Circuii cum 
 difFerentiis. 
 
 seu numeri 
 absoluti. 
 
 simee quartae. 
 
 cum difFerentiis, 
 
 101,58 
 
 1511.36-f. 
 
 sexagenariae. 
 
 80. 
 
 3. 
 
 46 
 
 98500.00 
 
 23. 
 
 38. 
 
 24 
 
 59, 
 
 6 
 
 
 2 0. 
 
 12 
 
 
 
 
 
 101.47 
 
 
 
 80. 
 
 23. 
 
 58 
 
 53 
 
 51 
 
 98600.00 
 
 23. 
 
 39. 
 
 50 
 
 1409.89-1- 
 
 101.37 
 1308.52+ 
 
 59. 
 
 10 
 
 80. 
 
 44. 
 
 98700.00 
 
 23. 
 
 41. 
 
 17 
 
 59. 
 
 13 
 
 
 21. 
 
 42 
 
 
 
 
 
 101 .26 
 
 
 
 81. 
 
 6. 
 
 33 
 
 98800.00 
 
 23. 
 
 42. 
 
 43 
 
 1207.26 
 101.17 
 1106.09+ 
 
 59. 
 
 17 
 
 81. 
 
 29. 
 
 26 
 
 98900.00 
 
 23. 
 
 44. 
 
 10 
 
 59. 
 
 20 
 
 
 2 4, 
 
 6 
 
 
 
 
 
 101 .06 
 
 
 
 81. 
 
 53. 
 
 32 
 
 6 
 
 38 
 
 99000.00 
 
 23. 
 
 45. 
 
 36 
 
 1005.03+ 
 
 100,96 
 
 904.07+ 
 
 59. 
 
 24 
 
 82. 
 
 18. 
 
 99100.00 
 
 23. 
 
 47. 
 
 2 
 
 59. 
 
 28 
 
 
 2 6. 
 
 28 
 
 
 
 
 
 1 0.8 5 
 
 
 
 82. 
 
 45. 
 
 6 
 
 5 4 
 
 
 
 99200.00. 
 
 23. 
 
 48. 
 
 29 
 
 803.22+ 
 
 10 0.7 6 
 
 702.46 
 
 59. 
 
 31 
 
 83. 
 
 13. 
 
 99300.00 
 
 23. 
 
 49. 
 
 55 
 
 59. 
 
 35 
 
 
 3 0. 
 
 20 
 
 
 
 
 
 1 0.6 5 
 
 
 
 83. 
 
 43. 
 
 20 
 
 40 
 
 
 
 99400.00 
 
 23. 
 
 51. 
 
 22 
 
 601.81 
 
 1 n n r, a 
 
 59. 
 
 38 
 
 84. 
 
 16. 
 
 99500.00 
 
 23. 
 
 52. 
 
 48 
 
 501.25+ 
 
 59. 
 
 42 
 
 
 3 6. 
 
 3 
 
 
 
 
 
 1 0.4 5 
 
 
 
 84. 
 
 52. 
 
 30 
 
 99600.00 
 
 23. 
 
 54. 
 
 14 
 
 400.80 
 
 1 nr\ 1 ti 
 
 59. 
 
 46 
 
 85. 
 
 33. 
 
 48. 
 
 39 
 
 54 
 
 99700.00 
 
 23. 
 
 55. 
 
 41 
 
 300.45 
 
 1 0.2 5 
 
 59. 
 
 49 
 
 86. 
 
 22. 
 
 3. 
 
 26. 
 
 33 
 
 99800.00 
 
 23. 
 
 57. 
 
 7 
 
 200.20 
 
 10 0.15 
 
 100.05 
 
 59. 
 
 53 
 
 87. 
 
 15 
 
 99900.00 
 
 23. 
 
 58. 
 
 34 
 
 59. 
 
 56 
 
 '2. 
 
 3 3. 
 
 45 
 
 
 
 
 
 1 0.0 5 
 
 
 
 90. 
 
 0. 
 
 0. 
 
 100000.00 
 
 24. 
 
 
 
 
 
 000000.00 
 
 60, 
 
 
 
LOGARITHMS. 33 
 
 To the table, Kepler prefixes a pretty considerable tract, containing 
 the construction of the logarithms, and a demonstration of their pro- 
 perties and structure, in which he considers logarithms, in the true 
 and legitimate way, as the measures of ratios, as shall be siiown 
 more particularly hereafter in the next part, where we shall treat of 
 the construction of logarithms. 
 
 Kepler also introduced the logarithmic calculus into his Rudolphine 
 tables, published in 1627; and inserted in that work several logarithmic 
 tables; as, first, a table similar to that above described, except that 
 the second, or column of sines, or of absolute numbers, is omitted, 
 and, instead of it, another column is added, showing what part of tlie 
 quadrant each arc is equal to, namely tlie quotient, expressed in inte- 
 gers and sexagesimal parts, arising from the dividing the whole qua- 
 drant by each given arc ; 2dly, Napier's table of logarithmic sines to 
 every minute of the quadrant ; also two other smaller tables, adapted 
 for the purposes of eclipses and the latitudes of the planets. In this 
 work also Kepler gives a succinct account of logarithms, with the 
 description and use of those that are contained in these tables. And 
 here it is that he mentions Justus Byrgius, as having had logarithms 
 before Napier published them. 
 
 Besides the above, some few others published logarithms of tlic same 
 
 kind about this time. But let us now return to treat of the history of 
 
 the common or Briggs's logarithms, so called because he first computed 
 
 ' them, and first mentioned them, and recommended them to Napier, 
 
 instead of the first kind by him invented. 
 
 Mr. Henry Briggs, not less esteemed for his great probity, and 
 other eminent virtues, than for his excellent skill in mathematics, was 
 at the time of the publication of Napier's logarithms, in 1614, pro- 
 fessor of geometry in Gresham college in London, having been ap- 
 pointed the first professor after its institution : which appointment he 
 held till January 1620, when he was chosen, also the first, Savilian 
 professor of Geometry at Oxford, where he died January the 26th, 
 168^, aged about 74 years. 
 
 On the publication of Napier's logarithms, Briggs immediately ap- 
 plied himself to the study and improvement of them. In a letter to 
 Mr. (afterwards Archbishop) Usher, dated the 10th of March 16 J 5, 
 he writes, " that he was wholly taken up and employea about the 
 noble invention of logarithms, lately discovered."" And again, " Napier 
 lord of Markinston hath set my head and hands at work with his new 
 and admirable logarithms : I hope to see him this summer, if it please 
 God ; for I never saw a book which pleased me better, and made me 
 more wonder.'* Thus we find that Briggs began very early to com- 
 pute logarithms : but these were not of the same kind with Napier's, 
 in which the logarithm of the ratio of 10 to 1 was 2*3025851 &c; 
 for, in Briggs's first attempt he made 1 the logarithm of that ratio ; 
 and, from the evidence we have, it appears that he was the first person 
 who formed the idea of this change in the scale, which he presently 
 and liberally communicated, both to the public in his lectures, and 
 to lord Napier himself, who afterwards said that he also had thought 
 jpf the same thing; as appears by the following extract, translated from 
 
34 HISTORY OF 
 
 the preface to Briggs's Arithmetica Logarithmica : " Wonder not (sayst 
 he) that these logarithms are different from those which the excellent 
 baron of Marchiston published in his Admirable Canon. For when I 
 explained the doctrine of them to my auditors at Gresham college in 
 London, I remarked that it would be much more convenient, the 
 logarithm of the sine total or radius being (as in the Canon Mirificus), 
 if the logarithm of the 10th part of the said radius, namely, of 5° 44' 
 21", were 100000 &c ; and concerning this I presently wrote to the 
 author; a^so, as soon as the season of the year and my public teaching 
 would permit, I went to Edinburgh, where being kindly received by 
 him, I staid a whole month. But when we began to converse about 
 the alteration of them, he said that he had formerly thought of it, and 
 wished it ; but that he chose to publish those that were already done, 
 till such time as his leisure and health would permit him to make others 
 more convenient. And as to the nature of the change, he thought it 
 more expedient that should be made the logarithm of 1 : and 
 100000 &c. the logarithm of radius ; which I could not but acknow- 
 ledge was much better. Therefore, rejecting those which I had before 
 prepared, I proceeded, at his exhortation, to calculate these : and the 
 next summer I went again to Edinburgh, to show him the principle of 
 them ; and should have been glad to do the same the third summer, if 
 it had pleased God to spare him so long." 
 
 So that it is plain that Briggs was the inventor of the present scale 
 of logarithms, in which 1 is the logarithm of the ratio of 10 to 1, and 
 2 that of 100 to 1, &c ; and that the share which Napier had in them, 
 was only advising Briggs to begin at the lowest number 1, and make 
 the logarithms, or artificial numbers, as Napier had also called them, 
 to increase with the natural numbers, instead of decreasing ; which made 
 no alteration in the figures that expressed Briggs's logarithms, but only 
 in their affection or signs, changing them from negative to positive ; 
 so that Briggs's first logarithms to the numbers in 
 the second column of the annexed tablet, would 
 have been as in the first column ; but after they 
 were changed, as they are here in the third co- 
 lumn ; which is a change of no essential difference, 
 as the logarithm of the ratio of 10 to 1, the radix 
 of the natural system of numbers, continues the 
 same, a change in the logarithm of that ratio being 
 the only circumstance that can essentially alter the 
 system of logarithms^ the logarithm of 1 being 0. 
 And the reason- why Briggs, after that interview, 
 rejected what lie had before done, and began anew, 
 was probably because he had adapted his new 
 logarithms to the approximate sines of arcs instead 
 of the round or integer numbers, and not from their being logarithms 
 of another system, as were those of Napier. 
 
 On Briggs's return from Edinburgh to London the second time, 
 namely, in 1617, he printed the first thousand logarithms, to eight 
 places of figures, besides the index, under the title of Logarithmorum 
 Chilias Prima, But these seem not to have been published till after 
 
 B 
 
 Num. 
 
 N 
 
 n 
 
 10" 
 
 — n 
 
 3 
 
 •001 
 
 —3 
 
 '2 
 
 •01 
 
 —2 
 
 1 
 
 •: 
 
 — 1 
 
 
 
 1 
 
 
 
 — 1 
 
 10 
 
 1 
 
 --2 
 
 100 
 
 2 
 
 —3 
 
 1000 
 
 3 
 
 — n 
 
 10» 
 
 n 
 
LOGARITHMS. 35 
 
 the death of Napier, which happened on the 3d of April 1618, as 
 before said ; for, in the preface to them, Briggs says, " Why these 
 logarithms differ from those set forth by their most illustrious inventor, 
 of ever respectful memory, in his Canon Mirijicus, it is to be hoped 
 his posthumous work will shortly make appear/' And as Napier, 
 after communication had with Briggs, on the subject of altering the 
 scale of logarithms, had given notice, both in Wright's translation, 
 and in his own Rabdologia, printed in I6I7, of his intention to alter 
 the scale (though it appears very plainly that he never intended to 
 compute any more), without making any mention of the share which 
 Briggs had in the alteration, this gentleman modestly gave the above 
 hint. But not finding any regard paid to it in the said posthumous 
 Work, published by lord Napier's son in 1619, where the alteration 
 is again adverted to, but still without any mention of Briggs ; this 
 gentleman thought he could not do less than state the grounds of that 
 alteration himself, as they are above extracted from his work pub- 
 lished in 1624. 
 
 Thus, upon the whole matter. It seems evident that Briggs, whether 
 he had thought of this improvement in the construction of logarithms, 
 of making 1 the logarithm of the ratio of 10 to 1, before lord Napier, 
 or not (which is a secret that could be known only to Napier himself), 
 was the first person who communicated the idea of such an improve- 
 ment to the world ; and that he did this in his lectures to his auditors 
 at Gresham college in the year 1615, very soon after his perusal of Na- 
 pier's Canon Mlrificus Loganihmorum in the year 1614. He also 
 mentioned it to Napier, both by letter in the same year, and on his 
 first visit to him in Scotland in the summer of the year 1616, when 
 Napie]( approved the idea, and said it had already occurred to himself, 
 and thkt he had determined to adopt it. It would therefore have been 
 more candid in lord Napier to have told the world, in the second edi- 
 tion of \his book, that Mr. Briggs had mentioned this improvement to 
 him, ana that he had thereby been confirmed in the resolution he had 
 already taken, before Mr. Briggs's communication with him (if indeed 
 that was the fact), to adopt it in that his second edition, as being better 
 fitted to the decimal notation of arithmetic which was in general use. 
 Such a declaration would have been but an act of justice to Mr. Briggs; 
 and the not having made it, cannot but incline us to suspect that lord 
 Napier was desirous that the world should ascribe to him alone the 
 merit of this very useful improvement of the logarithms, as well as that 
 of having originally invented them ; though, if the having first com- 
 municated an invention to the world be sufficient to entitle a man to 
 the honour of having first invented it, Mr. Briggs had the better title to 
 be called the first inventor of this happy improvement of logarithms. 
 
 In 1620, two years after the Clulias Prima of Briggs came out, Mr. 
 Edmund Gunter published his Canon of Triangles, which contains 
 the artificial or logarithmic sines and tangents, for every minute, to 
 «even places of figures, besides the index, the logarithm of radius be- 
 ing lO'O &c. These logarithms are of the kind last agreed upon by 
 Napier and Briggs, and they were the first tables of logarithmic sines 
 and tangents that were published of this sort. Gunter also, in 1623, 
 
 F2 
 
/ 56 HISTORY OJ^ 
 
 reprinted the same Iti his book De Sectore et Radio, together with the 
 Cfiilias Prima of his old colleague Mr. Briggs, he being professor of 
 astronomy at Gresham college when Briggs was professor of geometry 
 there, Gunter having been elected to that office the 6th of March 
 1619, and enjoyed it till his death, which happened on the 10th of 
 December, 1626, about the forty-fifth year of his age. In 1623 also, 
 Gunter applied tRese logarithms of numbers, sines, and tangents, to 
 straight lines drawn on a ruler ; with which, proportions in common 
 numbers and trigonometry were resolved by the mere application of a 
 pair of compasses ; a method founded on this property, that the loga- 
 rithms of the terms of equal ratios are equidifferent. This instrument, 
 in the form of a two-foot scale, is now in common use for navigation, 
 \ and other purposes, and is commonly called the Gunter. He also 
 greatly improved the sector for the same uses. Gunter was the first who 
 used the word cosine for the sine of the complement of an arc. He also 
 introduced the use of arithmetical complements into the logarithmical 
 arithmetic, as is witnessed by Briggs, chap. XV. Arith. Log. And it 
 has been said, that he started the idea of the logarithmic curve, which 
 was so called because the segments of its axis are the logarithms of 
 the corresponding ordinates. 
 
 The logarithmic lines were afterwards drawn in various other ways. 
 In 1627, they were drawn by Wingate on two separate rulers sliding 
 against each other, to save the use of compasses in resolving propor- 
 tions. They were also, in 1627, applied to concentric circles, by 
 Oughtred. Then in a spiral form by a Mr. Milburne of Yorkshire 
 '-"~^— about the year 1650. And, lastly, in 1657? on the present sliding rule, 
 by Seth Partridge. 
 
 The discoveries relating to logarithms were carried to France by 
 Mr. Edmund Wingate, but not first of all, as he erroneously says in 
 the preface to his book. He published at Paris, in 162.4, two small 
 tracts in the French language : and afterwards at London, in 1 626, an 
 English edition of the same, with improvements. In the first of these, 
 he teaches the use of Guntei^s ruler; and in the other, that ofBriggs's 
 logarithms, and the artificial sines and tangents. Here are contained 
 "also, tables of those logarithms, sines, and tangents, copied from 
 Gunter. The edition of these logarithms printed at London in 1635, 
 and the former editions also, I suppose, has the units figures disposed 
 along the tops of the columns, and the tens down the margins, like our 
 tables at present ; with the whole logarithm, which was only to six 
 places of figures, in the angle of meeting : which is the first instance 
 that I have seen of this mode of arrangement. 
 
 But proceed we now to the larger structure of logarithms. 
 
 Briggs had continued from the beginning to labour with great inr 
 dustry at the computation of those logarithms of which he before 
 published a short specimen in small numbers. And, in 1624, he pro- 
 duced his Arithmetica Logarithmica — a stupendous work for so short a 
 time !— containing the logarithms of 30000 natural members, to four- 
 teen places of figures besides the index, namely, from 1 to 20000, 
 and from 90000 to 100000; together with the differences of the loga- 
 iitiims. Some writers say that there was atotlier chiliad, namely, 
 
X/' 
 
 LOGARITHMS. 3? 
 
 irom 100000 to 101000 ; but none of the copies that I have seen have 
 more than the 30000 above mentioned, and they were all regularly 
 terminated in the usual way with the word finis. The preface to 
 these logarithms contains, among other things, an account of the 
 alteration made in the scale by Napier and himself, from which we 
 before gave an extract ; and an earnest solicitation to others to under- 
 take the computation for the intermediate numbers, offering to give 
 instructions, and paper ready ruled for that purpose, to any persons so 
 inclined to contribute to the completion of so valuable a work. In 
 the introduction, he gives also an ample treatise on the construction 
 and uses of these logarithms, which will be particularly described 
 
 hereafter. ^By this invitation, and other means, he had hopes of 
 
 collecting materials for the logarithms of the intermediate 70000 
 numbers, whilst he should employ his own labour more immediately on 
 the canon of logarithmic sines and tangents, and so carry on both 
 works at once ; as indeed they were both equally necessary, and he 
 himself was now pretty far advanced in years. 
 
 Soon after this, Adrian Vlacq, or Flack, of Gouda in Holland, com- 
 pleted the intermediate seventy chiliads, and republished the Arith- 
 metica Logarithmica at that place, in 1627 ^i^d 1628, with those inter- 
 mediate numbers, making in the whole the logarithms of all numbers 
 to 100000, but only to ten places of figures. To these v/as added 
 a table of artificial sines, tangents, and secants, to every minute of the 
 quadrant. 
 
 Briggs himself lived also to complete a table of logarithmic sines 
 and tangents for the hundredth part of every degree, to fourteen places 
 of figures besides the index ; together with a table of natural sines for 
 the same parts to fifteen places, and the tangents and secants for the 
 same to ten places ; with the construction of the whole. These tables 
 were printed at Gouda, under the care of Adrian Vlacq, and mostly 
 finished off before 1631, though not published till 1633. But his death, 
 which then happened, prevented him from completing the application 
 and uses of them. However, the performing of this ofi^ce, when 
 dying, he recommended to his friend Henry Gellibrand, who was then 
 professor of astronomy in Gresham college, having succeeded Mr, 
 Gunter in that appointment. Gellibrand accordingly added a preface, 
 and the application of the logarithms to plane and spherical trigono- 
 metry, &c ; and the whole was printed at Gouda by the same printer, 
 and brought out in the same year, 1633, as the Trigonometria Artifi- 
 cialis of Vlacq, who had the care of the press as above said. This 
 work was called Trigonometria Britamiica; and besides the arcs in 
 degrees and centesms of degrees, it has another column, containing 
 the minutes and seconds answering to the several centesms in the first 
 column. 
 
 In 1633, as mentioned above, Vlacq printed at Gouda, in Holland, 
 his Trigonometria Artificialis; sive Magnus Canon Triangulonim Lo- 
 garithmicus ad Decadas Secundorum Scrupulorum constnictus. This, 
 work coi\tains the logarithmic sines and tangents to ten places of figures, 
 with their differences, for every ten seconds in the quadrant. To 
 them is also added Brigga's table of the first 20000 logarithms, but 
 
58 HISTORY OF 
 
 carried only to ten places of figures besides the index, with their differ- 
 ences. The whole is preceded by a description of the tables, and the 
 application of them to plane and spherical trigonometry, chiefly ex- 
 tracted from Briggs's Trigonometria Britannica, above mentioned. 
 
 Gellibrand published also, in 1635, An Institution Trigonometrieall, 
 containing the logarithms of the first 10000 numbers, with the natural 
 sines, tangents, and secants, and the logarithmic sines and tangents, for 
 degrees and minutes, all to seven places of figures, besides the index ; 
 as also other tables proper for navigation ; with the uses of the whole. 
 Gellibrand died the 9th of February 1G36, in the 40th year of his age, 
 to the great loss of the mathematical world. 
 
 Besides the persons hitherto mentioned, who were mostly computers 
 of logarithms, many others have also published tables of those artifi-^ 
 cial numbers, more or less complete, and sometimes improved and 
 varied in the manner and form of them. We may here just advert to 
 a few of the principal of these. 
 
 In 1626*, D. Henrion published, at Paris, a treatise concerning 
 Briggs*s logarithms of common numbers from 1 to 20000, to eleven 
 places of figures ; with the sines and tangents to eight places only. 
 
 In 1631, was printed, at London, by one George Miller, a book 
 containing Briggs's logarithms, with their differences, to ten places of 
 figures besides the index, for all numbers to 100000 ; as also the loga- 
 rithmic sines, tangents, and secants, for every minute of the quadrant ; 
 with the explanation and uses in English. 
 
 The same year, 1631, Richard Norwood published his Trigonorne^ 
 trie; in which we find Briggs's logarithms for all numbers to 10000, 
 and for the sines, tangents, and secants, to every minute, both to seven 
 places besides the index. — In the conclusion of the trigonometiy, he 
 complains of the unfair practices of printing Vlacq's book in 1 627 or 
 1628, and the book mentioned in the last article. His words are, 
 *' Now whereas I have here, and in sundry places in this book, cited 
 Mr. Briggs his Arithmetica Logarithmica (lest I may seem to abuse the 
 reader), you are to understand not the book put forth about a month 
 since in English, as a translation of his, and with the same title j being 
 nothing like his, nor worthy his name ; but the book which himself put 
 forth with this title in Latin, being printed at London anno 1624. And 
 here I have just occasion to blame the ill dealing of these men, both in 
 the matter before mentioned, and in printing a second edition of his 
 Arithmetica Logarithmica in Latin, whilst he lived, against his mind 
 and liking -, and brought them over to sell, when the first were unsold ; 
 so frustrating those additions which Mr. Briggs intended in his second 
 edition, and moreover leaving out some things that were in the first 
 edition, of special moment; a practice of very ill consequence, and 
 tending to the great disparagement of such as take pains in this kind.'* 
 
 Francis Bonaventure Cavalerius published at Bologna, in 1632, his 
 Directorium Generale Uranometrimm, in which are tables of Briggs's 
 logarithms of sines, tangents, secants, and versed sines, each to eight 
 places, for every second of the first five minutes, for every five seconds 
 from five to ten minutes, for every ten seconds from ten to twenty 
 minutes, for every twenty seconds from twenty to thirty minutes, for 
 
LOGARITHMS. t9 
 
 every tliirty seconds from 30' to 1° 30', and for every minute in the rest 
 of the quadrant : which is the first table of logarithmic versed sines that 
 I know of. In this book are contained also the logarithms of the first 
 ten chiliads of natural numbers, namely, from 1 to 10000, disposed in 
 this manner: all the twenties at top, and from 1 to 19 on the side, the 
 logarithm of the sum being in the square of meeting. In this work, 
 also, I think Cavalerius gave the method of finding the area or spherical 
 surface contained by various arcs described on the surface of a sphere; 
 which had before been given by Albert Girard, in his Algebra, printed 
 in the year 1629. 
 
 Also, in the Trigonometria of the same author, Cavalerius, printed ia 
 1643, besides the logarithms of numbers from 1 to 1000, to eight 
 places, with their differences, we find both natural and logarithmic 
 sines, tangents, and secants, the former to seven, and the latter to 
 eight places; namely, to every 10" of the first 30 minutes, to every 
 SO" from 30' to 1°; and the same for their complements, or backwards 
 through the last degree of the quadrant 5 the intermediate 88"^ being to 
 every minute only. 
 
 Mr. Nathaniel Roe, " Pastor of Benacre in Suffolke," also reduced 
 the logarithmic tables to a contracted form, in his Tabulce Logarith'* 
 miccc, printed at London in 1633. Here we have Briggs*s logarithms 
 of numbers from.l to 100000, to eight places; the fifties placed at 
 top, and from 1 to 50 on the side ; also the first four figures of the 
 logarithms at top, and the other four down the columns. They con- 
 tain also the logarithmic sines and tangents to every 10(^th part of de-* 
 grees, to ten places. 
 
 Ludovicus Frobenius published at Hamburg, in 1634, his Clavis 
 Universa Trigonometrice, containing tables of Briggs's logarithms of 
 numbers, from 1 to 2000 ; and of sines, tangents, and secants, for every 
 minute ; both to seven places. 
 
 But the table of logarithms of common numbers was reduced to ita 
 most convenient form by John Newton, in his Trigonometria Bri^ 
 tannica, printed at London in 1658, having availed himself of both the 
 improvements of Wingate and Roe, namely, uniting Wingate*s disposi- 
 tion of the natural numbers with Roe's contracted arrangement of the 
 logarithms, the numbers being all disposed as in our best tables at pre- 
 sent, namely, the units along the top of the page, and the tens down the 
 left-hand side, also the first three figures of each logarithm in the 
 first column, and the remaining five figures in the other columns, the 
 logarithms being to eight places. This work contains also the loga- 
 rithmic sines and tangents, to eight figures besides the index, for every 
 100th part of a degree, with their differences, and for 1000th parts in 
 the first three degrees. — In the preface to this work, Newton takes occa- 
 sion, as Wingate and Norwood had done before, as well as Briggs him 
 self, to censure the unfair practices of some other publishers of loga- 
 rithms. He says, *' In the second part of this institution, thou art 
 presented with Mr. Gellibrand*s Trigonometric, faithfully translated 
 from the Latin copy, that which the author himself published under 
 the title of Trigonometria Britannica, and not that which Vlacq the 
 Dutchman styles Trigonometria JrtiJidaliSp from whose corrupt and 
 
40 HISTORY OF 
 
 imperfect copy that seems to be translated wliicli Is amongst us gene* 
 rally known by the name of Gellibrand's Trigonometry ; but those who 
 either knew him, or have perused his writings, can testify that he wai 
 no admirer of the old sexagenary way of working; nay that he did pre- 
 ferre the decimal way before it, as he hath abundantly testified in all 
 the examples of this his trigonometry, which differs from that other 
 which Vlacq hath published, and that which hath hitherto borne his 
 name in English, as in the form, so likewise in the matter of it ; for in 
 the two last mentioned editions, there is something left out in the second 
 chapter of plain triangles, the tMrd chapter wholly omitted, and a part 
 of the third in the spherical; but in this edition nothing: something 
 we have added to both, by way of explanation and demonstration." 
 
 In 1670, John Caramuel published his Matliesis N(yva, in which are 
 contained 1000 logarithms both of Napier's and Briggs*s form, as also 
 1000 of what he calls the Perfect Logarithms, namely, the same as 
 those which Briggs first thought of, which dlflPer from the last only in 
 this, that the one increases while the other decreases, the radix or loga-» 
 rithm of the ratio of 10 to 1 being the same in both. 
 
 The books of logarithms have since become very numerous, but 
 the logarithms are mostly of that kind invented by Briggs, and which 
 are now in common use. Of these, the most noted for their accuracy 
 or usefulness, besides the works above mentioned, are Vlacq's small 
 volume of tables, particularly that edition printed at Lyons in 1 670 ; 
 also tables printed at the same place in 1760 ; but most especially the 
 tables of Sherwin and Gardiner. Of these, Sherwin's Mathematical 
 Tables, in 8vo. formed the most complete collection of any, contain- 
 ing, besides the logarithms of all numbers to 101000, the sines, tan- 
 gents, secants, and versed sines, both natural and logarithmic, to every 
 minute of the quadrant. The first edition was in 17O6 : but the third 
 edition, in 1742, which was revised by Gardiner, is esteemed the most 
 Correct of any, though containing many thousands of errors in the 
 final figures: as to the last or fifth edition, in l77lj Jt is so errone- 
 ously printed that no dependance can be placed in it, being the most 
 inaccurate book of tables I ever knew ; I have a list of several thou- 
 sand errors which I have corrected in it, as well as in Gardiner's octavo 
 fcdition. 
 
 Gardiner also printed at London, In 1742, a quarto volume of 
 ** Tables of Logarithms, for all numbers from 1 to 102100, and for the 
 sines and tangents to every ten seconds of each degree in the quadrant; 
 as also, for the sines of the first 72 minutes to every single second : 
 with other useful and necessary tables ;" namely, a table of Logistical 
 Logarithms, and three smaller tables to be used for finding the loga- 
 rithms of numbers to twenty places of figures. Of these tables of 
 Gardiner, only a small number was printed, and that by subscription ; 
 and they have always been held in great estimation for their accuracy 
 and usefulness. 
 
 An edition of Gardiner's collection was al^o elegantly printed at 
 Avignon in France, in 1770, with some additions, namely, the sines 
 and tangents for every single second in the first four degrees, and a 
 small table of hyperbolic logarithms, copied from a treatise on Fluxion* 
 
LOGARITHMS. 41 
 
 by tlie late ingenious Mr. Thomas Simpson : but this is not qitite so 
 correct as Gardiner's own edition. The tables in all these books are 
 to seven places of figures. 
 
 There have also lately appeared the following accurate and elegant 
 books of logarithms; viz. 
 
 1. Logarithmic Tables, by the late Mr. Michael Taylor, a pupil 
 of mine, and author of The Sexagesimal Table. His work consists 
 of three tables; 1st. the Logarithms of Common Numbers from 1 to 
 1260, each to 8 places of figures ; 2dly, The Logarithms of all Num- 
 bers from 1 to lOlOOO, each to /places; 3dly. The Logarithmic 
 Sines and Tangents to every Second of the Quadrant, also to ^ 
 places of figures ; a work that must prove highly useful to such per- 
 sons as may be employed in very nice and accurate calculations, such 
 as astronomical tables, &c. The author dying when the tables were 
 nearly all printed off, tlie Rev. Dr. Maskelyne, Astronomer Royal, 
 has supplied a preface, containing an account of tlie work, with ex- 
 cellent precepts for the explanation and use of the tables : the whole 
 very accurately and elegantly printed on large 4to. 179^. 
 
 2. " Tables Portatives de Logarithmes, publiees a l^ondres, par Gar- 
 diner," &c. This work is most beautifully printed in a neat portable 
 8vo volume, and contains all the tables in Gardiner's 4to volume, 
 with some additions and improvements, and with a considerable degree 
 of accuracy. On this, as well as several other occasions, it is but justice 
 to remark the extraordinary spirit and elegance with which the learned 
 men, and the artisans of the French nation, undertake and execute 
 works of merit. Printed at Paris, by Didot, 1/93. 
 
 3. A second edition of the " Tables Portatives de Logarithmes," 8cc. 
 printed at Paris with the Stereotypes, of solid pages, in 8vo, 1795, by 
 Didot. This edition is greatly enlarged, by an extension of the old 
 tables and many new ones; among which are the log. sines and 
 tangents to every ten thousandth part of the quadrant, viz. in which 
 the quadrant is first divided into 100 equal parts, and each of these 
 into 1 00 parts again. 
 
 4. Other more extensive tables, not yet quite completed, ordered by 
 the Board of Longitude in France, and under the direction of M. 
 Prony, in which the quadrant is decimally divided into 10000 equal parts. 
 
 '' The logarithmic canon serves to find readily the logarithm of any 
 assigned number; and we are told by Dr. Wallis, in the second volume 
 of his Mathematical Works, that an antilogarithmic canon, or one to 
 find as readily the number corresponding to every logarithm, w^as be- 
 gun, he thinks, by Harriot the algebraist (who died in 1621), and 
 completed by Walter Warner, the editor of Harriot's works, before 
 1640; which ingenious performance, it seems, was lost, for want of 
 encouragement to publish it." 
 
 " A small specimen of such numbers was published in the Philoso- 
 phical Transactions for the year 17 14, by Mr. Long of Oxford; but 
 it was not till 1/42 that a complete antilogarithmic canon was pub- 
 lished by Mr. James Dodson, wherein he has computed the numbere 
 corresponding to every logarithm from 1 to 100000, for 11 places of 
 figures." G 
 
42 CONSTRUCTION OF 
 
 THE CONSTRUCTION OF LOGARITHMS, &c. 
 
 H 
 
 -AVING described tlie several kinds of logarithms, their rise and 
 invention, their nature and properties, and given souie account of the 
 principal early cultivators of them, with the chief collections that have 
 been published of such tables ; proceed we now to deliver a more par- 
 ticular account of the ideas and methods employed by each author, and 
 the peculiar modes of construction made use of by them. 
 And first, of the great inventor himself. Lord Napier. 
 
 I^apier's Construction of Logarithms. 
 
 Tlie Inventor of logarithms did not adapt them to the series of na- 
 tural numbers 1, 2, 3, 4, 5, &c, as it was not liis principal idea to 
 extend them to all arithmetical operations in general ; but he confined 
 his labours to that circumstance which first suggested the necessity of 
 the invention, and adapted his logarithms to the approximate numbers 
 which express the natural sines of every minute in the quadrant, as 
 they had been set down by former writers on trigonometry. 
 
 7^he same restricted idea was pursued through his method of con- 
 structing the logarithms. As the lines of the sines of all arcs are parts 
 of the radius, or sine of the quadrant, which was therefore called the 
 ftimis totus, or whole sine, he conceived the line of the radius to be 
 described or run over, by a point moving along It In such a manner, 
 that In equal portions of time it generated, or cut off, parts, in a de- 
 creasing geometrical progression, leaving the several remainders, or 
 sines in geometrical progression also ; while another point, In an in- 
 definite line, described equal parts of it in the same equal portions of 
 time ; so that the respective sums of these, or the whole line generated, 
 were always the arithmetlcals or logarithms of these sines. 
 Thus, az is the given radius, on which all the sines are Sines. Log. 
 to be taken, and A&c, the indefinite line containing the lo- ao 
 garithms ; these lines being each generated by the motion of 
 points, beginning at A, a. Now, at the end of the 1st, 2d, 
 3d, &;c, moments, or equal small portions of time, the mov- 
 ing points being found at the places marked ' J , 2, 3, &c, 
 then za, zl, z2, z3, &c, will be the series of natural sines, 
 and A (or 0), Ai, A2, A3, &c, will be their logarithms ; 
 supposing the point which generates az to move every where 
 with a velocity decreasing in proportion to Its distance from 
 z, namely, its velocity in the points 0, I, 2, 3, &c, to be 
 respectively as the distances zO, z I , z2, z3, &,c, while the 
 velocity of the point generating the logarithmic line A&c, re- 
 mains constantly the same as at first iu the point A or 0. &c. 
 
 Hitherto the author had not fully limited his system or scale of lo- 
 garithms, having only supposed one condition or linn'tatlon, namely, 
 that the logarithm of the radius az should be "0. Whereas two inde- 
 pendent conditions, no matter what, are necessary to limit the scale 
 or system of logarithms. It did not occur to him that it was proper to 
 form the other limit, by affixing some particular value to an assigned 
 
 7 
 
LOGARITHMS. 43 
 
 number, or part of the radius : but, as another condition was necessary, 
 he assumed this for it, namely, ihat the two generating points should 
 begin to move at a " and A with equal velocities; or that the incre- 
 ments al and Al, described in the first moments, should be equal; as 
 he tliought this circumstance would be attended with some little ease 
 in tbe computation. And this is the reason that, in his table, the na- 
 tural sines and their logarithms, at the complete quadrant, have equal 
 diflPerences; and this is also the reason why his scale of logarithms hap- 
 pens accidentally to agree with what have since been called the hyper- 
 bolic logarithms, which have r\umeral differences equal to those of 
 their natural numbers at the beginning ; except only that these latter 
 increase with the natural numbers, and his on the contrary decrease ; 
 the logarithm of the ratio of 10 to 1 being the same in both, namely 
 '2-;^ 025 8509. 
 
 And here, by the way, it may be observed, that Napier's manner of 
 conceiving the generation of the lines of the natural numbers, and their 
 logarithms, by the motion of points, is very similar to the manner in. 
 which Newton afterwards considered the generation of magnitudes in 
 his doctrine of fluxions ; and it is also remarkable, that, in art. 2 of 
 the Hahitiidines Logaritkmonim etsuorum naturalium numerorum invi-' 
 cent, in the appendix to the Constructio Logarithmorum, Napier speaks 
 of the velocities of the increments or decrements of the logarithms, in 
 the same way as iNewton does of his fluxions, namely, where he shows 
 that those velocities, or fluxions, are inversely as the sines or natural 
 numbers of the logarithms ; which is a necessary consequence of the 
 nature of the generation of those lines as described above ; with this 
 alteration however, that now the radius az must be considered as 
 generated by an equable motion of the point, and the indefinite 
 line A &c by a motion increasing in the same ratio as the other before 
 decreased ; which is a supposition that Napier must have had in view 
 when he stated that relation of the fluxions. 
 
 Having thus limited his system, Napier proceeds, in the posthumous 
 workof 1(>19, to explain his construction of the logarithmic canon; 
 and this he effects in various ways, but chiefly by generating, in a very 
 easy manner, a series of proportional numbers, and their arithmetic 
 cals or logarithms ; and then finding, by proportion, the logarithms to 
 the natural sines, from those of the nearest numbers among the origi- 
 nal proportionals. 
 
 After describing the necessary cautions he made use of, to preserve 
 a sufficient, degree of accuracy, in so long and complex a process of cal- 
 culation ; such as annexing several ciphers, as decimals separated by 
 a point, to his primitive numbers, and rejecting the decimals thence 
 resulting after the operations were completed ; setting the numbers 
 down to the nearest unit in the last figure ; and teaching tlie arithme- 
 tical processes of adding, subtracting, multiplying, and dividing the 
 limits between which certain unknown numbers must lie, so as to ob- 
 tain the limits between which the results must also fall : I say, after 
 describing such particulars, in order to clear and smooth the way, he 
 enters on the great field of calculation itself. Beginning at radius 
 10000000, he first constructs several descending geometrical series, 
 but of such a nature, that they are all quickly formed by an easy con* 
 
 G2 
 
44 
 
 CONSTRUCTION OF 
 
 tinual subtraction, and a division by 2, or by 10, or 100, kc, which 
 is done by only removing the decinial point so many places towards 
 the left hand, as there are ciphers in the divisor. He constructs three 
 tables of such series: The first of these consist of 100 numbers, in 
 the proportion of radius to radius minus 1, or of 10000000 to 9999999 ; 
 all of which are found by only subtracting from each its 10000000th 
 part, which part is also found by only removing each figure seven 
 places lower : the last of these 100 proportionals is found to be 
 9999900-0004950. 
 
 The 2d table contains 
 50 numbers, which are 
 in the continual propor- 
 tion of the first to the last 
 in the first table, namely, 
 of 30000000 0000000, 
 to 9999900-0004950, or 
 •neailv the proportion of 
 lOOobo to 99999; these 
 therefore are found by 
 
 only removing the figures of each number 5 places lower, and sub- 
 tracting them from the same number : the last of these he finds to be 
 9995001-222927- And a specimen of these two tables is here annexed. 
 
 The 3d table consists of 69 columns, and each column of twenty-one 
 numbers or terms, which terms, in every column, are in the continual 
 proportion of 10000 to 9995, that is, nearly as the first is to the last in 
 the 2d table ; and as 10000 exceeds 9995, by the 2000th part, the terms 
 in every column will be constructed by dividing each upper number by 
 <2, removing the figures of the quotient 3 places lower, and then sub- 
 tracting them; and in this way it is proper to construct only the first 
 column of 21 numbers, the last of which will be 9900473-5780: but 
 the 1st, 2d, 3d, &c, numbers, in all the columns, are in the continual 
 proportion of 1 00 to 99, or nearly the proportion of the first to the last 
 in the first column ; and therefore these will be found by removing the 
 figures of each preceding number two places lower, and subtracting 
 them, for.the like number in the next column. A specimen of this 3d 
 table is as here below. 
 
 No. 
 
 First Table. 
 
 Second Table. 
 
 1 
 
 10000000.0000000 
 
 10000000.000000 
 
 2 
 
 9999999.0000000 
 
 9999900.000000 
 
 3 
 
 9999998.0000001 
 
 9999800.001000 
 
 4 
 
 9999997.0000003 
 
 9999700.003000 
 
 &c. 
 
 &c til! the 100th term. 
 
 &c to the 50th term 
 
 50 
 
 which will be 
 
 9995001.222927 
 
 100 
 
 9999900.0004950 
 
 
 The Third Table. 
 
 Terms 1st Column. 
 
 2d Column. 
 
 3d Column. 
 
 &,c till the 
 
 69th Column. 
 
 1 1 10000000.0000 
 
 9900000.0000 
 
 9801000.0000 
 
 &c to 
 
 5048858.8900 
 
 2 j 9995000.0000 
 
 9895050.0000 
 
 9796099.5000 
 
 the 4th, 
 
 5046334.4605 
 
 3 ! 9990002.5000 
 
 9890102.4750 
 
 9791201.4503 
 
 5th, 6th, 
 
 5043811.2932 
 
 4 '■ 9985007.4987 
 
 9885157.4237 
 
 9786305.8495 
 
 7 th, &c 
 
 5041289.3879 
 
 5 
 
 9980014.9950 
 
 9880214.8451 
 
 9781412.6967 
 
 col. till 
 
 5038768.7435 
 
 &c 
 
 &e tin 
 
 &c 
 
 &c 
 
 the last 
 
 cSic 
 
 21 
 
 9900473.5780 
 
 9801468.8423 
 
 9703454.1539 
 
 or 
 
 4998609.4034 
 
 Thus he had, in this 3d table, interposed between the radius and 
 its half, 68 numbers in the continual proportion of 100 to 99; and 
 interposed between every two of these, £0 numbers in the proportion 
 
LOGARITHMS. 4S 
 
 of iOOOOto ^995 : and again, in the 2d table, between 100(X)000 and 
 9993000, the two first of the third table, he had 50 nunjbers in the pro- 
 portion of 100000 to 99999; and lastly, in the 1st table, between 
 10000000 and 9999900, or the two first in the 2d table, 100 nunnbers 
 in the proportion of 10000000 to 9999999; that is, in all, about 
 1600 proportionals; all found in the most simple manner, by little 
 more than easy subtractions; which proportionals nearly coincide with 
 all the natural sines from 90° down to 30°. 
 
 To obtain the logarithms of all those proportionals, he demonstrates 
 several properties and relations of the numbers and logarithms, and 
 illustrates the manner of applying them. The prir^cipal of these pro- 
 perties are as follow : 1st, that the logarithm of any sine is greater 
 than the difference between that sine and the radius, but less than the 
 said difference when increased in the proportion of the sine to radius*; 
 and 2dly, that the difference between the logarithms of two sines is 
 less than the difference of the sines increased in the proportion of the 
 less sine to radius, but greater than the said difference of the sines 
 increased in the proportion of the greater sine to radius, f 
 
 Hence, by the first theorem, the logarithm of 10000000, the radius 
 or first term in the first table, being 0, the logarithm of 9999999, 
 the 2d term, will be between 1 and 1.0000001, and will therefore be 
 equal to 1.00000005 very nearly: ^and this will be also the common 
 difference of all the terms or proportionals in the first table : therefore 
 by the continual addition of this logarithm, there will be 6btained the 
 logarithms of all these 100 proportionals; consequently 100 times the 
 said first logarithm, or the last of the above sums, will give 100*000005, 
 for the logarithm of 9999900*0004950, the last of the said 100 propor- 
 tionals. 
 
 Then, by the 2d theorem, it easily appears, that '0004950 is the 
 difference between the logarithms of 9999900' 0004950 and 9999900, 
 the last term of the first table, and the 2d term of the second table j 
 
 ■*^By this first theorem, r being radius^ the logarithm of the sine s is between 
 
 r^-s and -r; and therefore, when^differs but little fromr, the logarithm 
 
 s 
 
 (t I 3*) X (r s\ 
 
 of 5 will be nearly equal to — , the arithmetical mean between 
 
 }'_-. 5 V T S 
 
 the limits r— 5 and r; but still nearer to (.r—s)^/ — or \/rs, thft 
 
 s ^ s s 
 
 geometrical mean between the said limits. 
 
 t By this second theorem, the difference between the logarithms of the 
 two sines S and s, lying between the limits r and — —— r, will, when 
 
 S o 
 
 those sines differ butlittle, be nearly equal to -j^ — : — r or -: ■- >■ ,^ ^ Lr, 
 
 their arithmetical mean ; or nearly = ' r, the geometrical mean ; or 
 
 S-s 
 a/Ss' 
 
 nearly ^^irj^'^r, by substituting in the last denominator, f (S-j-5) for y^S^, 
 to which it is nearly equal. 
 
4G 
 
 CONSTRUCTION OF 
 
 this then being added to the last logarithm, gives 100*0005000 for the 
 logarithm of the said 2d term, as also the common difference of the 
 logarithms of all the proportions in the 2d table; and therefore, 
 by continually adding it; there will be generated the logarithms of all 
 these proportionals in the second table ; the last of which is 5000025, 
 answering to 9995001-222927, the last term of that table. 
 
 Again, by the 2d theorem, the difference between the logarithms 
 of this last proportional of the second table, and the 2d term in the 
 first column of the third table, is found to be 1.2235387 ; which being 
 added to the last logarithm, gives 5001*2485387 for the logarithm of 
 9995000, the said 2d term of the third table, as also the common 
 difference of the logarithms of all the proportionals in the first column 
 of that table ; and that this therefore being continually added, gives all 
 the logarithms of that first column, the last of which is 100024*97077? 
 the logarithm of 9900473.5780, the last term of the said column. 
 
 Finally, by the 2d theorem again, the difference between the loga- 
 rithms of this last number and 9900000, the 1st term in the second 
 column, is 478*3502 ; which being added to the last logarithm, gives 
 100o03*3210 for the logarithm of the said 1st term in the second 
 column, as well as the common difference of the logarithms of all 
 the numbers on the same line in every line of the table, namely, of all 
 the 1st terms, of all the 2d, of all the 3d, of all the 4th, &c terms 
 in all the columns ; and which therefore, being continually added to 
 the logarithms in the first column, will give the corresponding loga- 
 jithms in all the other columns. 
 
 And thus is completed what the author calls the radical table, in 
 which he retains only one decimal place in the logarithms (or artifi^ 
 ctah, as he always call them in his tract on the construction), and 
 four in the naturals. A specimen of the table is as here follows ; 
 
 Radical Table. 
 
 Teimi 
 
 iBt Column. 
 
 2d Column. 
 
 69th Column. 
 
 
 Naturals. 
 
 Artificials 
 
 Naturals. 
 
 Artificials- 
 
 Naturals. 
 
 Artificials. 
 
 1 
 
 10000000.0000 
 
 
 
 9900C00.0000 
 
 100503.3 
 
 5048858.8900 
 
 6834225.8 
 
 2 
 
 gQQ.'iOOO.OOOO 
 
 5001.2 
 
 9895050.0000 
 
 ie5504.6 
 
 504633-3.4605 
 
 6839227.1 
 
 3 
 
 999000'2.3000 
 
 10002.5 
 
 9890102.4750 
 
 110505.8 
 
 5043S1 1.2932 
 
 6844228.3 
 
 4 
 
 9985007.4987 
 
 15003.7 
 
 9885157.42-37 
 
 115507.1 
 
 5041289.3879 
 
 6849229.6 
 
 5 
 
 9980014.9950 
 
 20005.0 
 
 9880214.'8451 
 
 120508.3 
 
 5038/68.7435 
 
 6854230.8 
 
 &C 
 
 &c till 
 
 &0 
 
 &C 
 
 &C 
 
 &c 
 
 &c 
 
 21 
 
 9900473.5780 
 
 100023.0 
 
 9801468.8428 
 
 200528.2 
 
 4998609.4034 
 
 6934250.8 
 
 Having thus, in the most easy manner, completed the radical tabic, 
 by little more than mere addition and subtraction, both for the natural 
 numbers and logarithms ; the logarithmic sines were easily deduced 
 from it by means of the 2d theorem, namely, taking the sum and dif- 
 ference of each tabular sine and the nearest number in the radical table, 
 annexing 7 ciphers to the difference, dividing the result by the sum, 
 then half the quotient gives the difference between the logarithms of the 
 
LOGARITHMS. 4? 
 
 said numbers, namely, between the tabular sine and radical number ; 
 consequently adding or subtracting this difference, to or from the 
 given logarithm of the radical number, there is obtained the logarith- 
 mic sine required. And thus the logarithms of all the sines, from 
 radius to the half of it, or from 90" to 30% were perfected. 
 
 Next, for determining the sines of the remaining 30 degrees, he 
 delivers two methods. In the first of these he proceeds in this man- 
 ner: Observing that the logarithm of the ratio of 2 to 1, or of lialf 
 the radius, is 6931469-22, of 4 to 1 is the double of this, of 8 to I 
 is triple of it, &c ; that of 1 to 1 is 23025842-34, of 20 to 1 is the 
 sum of the logarithms of 2 and 10; and so on, by composition for 
 the logarithms of the ratios between 1 and 40, 80, 100, 200, &c, to 
 10000000; he multiplies any given sine, for an arc less than 30 degrees, 
 by some of these numbers, till he finds the product nearly equal to one 
 of the tabular numbers ; then by means of this and the second 
 theorem, the logarithm of this product is found ; to which adding the 
 logarithm that answers to the multiple above mentioned, the sum is 
 the logarithm sought. But the other method is still much easier, 
 and is derived from this property, which he demonstrates, namely, 
 «s half radius is to the sine of half an arc, so is the cosine of the said 
 half arc, to the sine of the whole arc ; or as | radius : sine of an arc : : 
 cosine of the arc : sine of double arc ; hence the logarithmic sine of an 
 arc is found, by adding together the logarithms of half radius and of 
 the sine of the double arc, and then subtracting the logarithmic co- 
 sine from the sum. 
 
 And thus the remainder of the sines, from 30° down to 0, are ea- 
 sily obtained. But in this latter way, the logarithmic sines for full one 
 half of the quadrant, or from to 45 degret^s, he observes, may be 
 derived; the other half having already been made by the general 
 method of the radical table, by one easy division and addition or sub- 
 traction for each. 
 
 We have dwelt the longer on this work of the inventor of logarithms, 
 because I liave not seen, in any author, an account of his method of 
 constructing his table, though it is perfectly different from any other 
 method used by the later computers, and indeed, almost peculiar to his 
 species of logarithms. The whole of this work manifests great inge- 
 nuity in the designer, as well as much accuracy. But notwithstanding 
 the caution he took to obtain his logarithms true to the nearest unit in 
 the last figure set down in the tables, by extending the numbers in the 
 computations to several decimals, and other means, he had been dis- 
 appointed of that end, either by the inaccuracy of his assistant compu- 
 ters or transcribers, or through some other cause ; as the logarithms in 
 the table are commonly very inaccurate. It is remarkable too, that in 
 this tract on the construction of tlie logarithms, Lord Napier never 
 calls them logarithms, but every where artificials, as opposed in idea 
 to the natural numbers: and this notion of natural and artificial num- 
 bers, I take to have been his first idea of this matter, and that he alter- 
 ed the word artificials to logarithms in his first book, on the description 
 of them, when he printedit, in the year 1614, and that he would alsa 
 
48 CONSTRUCTION OF 
 
 have altered the word every where in this posthumous work if he had 
 lived to print it : for in the two or three pages of appendix, annexed 
 to the work by his son, from Napier's papers, he again always calls 
 them logarithms. This appendix relates to the change of the loga- 
 rithms to that scale in which 1 is the logarithm of the ratio of 10 to 1, 
 the logarithm of 1, with or without ciphers, being 0; and it appears 
 to have been written after Briggs communicated to him his idea of 
 that change. 
 
 Napier here in this appendix also briefly describes some methods 
 by which this new species of logarithms may be constructed. Having 
 supposed to be the logarithm of 1, and 1, with any number of ciphers, 
 as 10000000000, the logarithm of 10, he directs to divide this loga- 
 rithm of 10, and the successive quotients, ten times by 5; by which 
 divisions there will be obtained these other ten logarithms, namely, 
 2000000000, 400000000, 80000000, 16000000, 3200000, 640000, 
 128000, 25600, 5120, 1024: then this last logarithm, and its quo- 
 tients, being divided ten times by 2, will give these other ten loga- 
 rithm, 512, 256, 128, 64, 32, l6, 8, 4, 2, 1. And the numbers 
 answering to these twenty logarhhms we are directed to find in this 
 manner; namely, extract the 5th root of 10 (with ciphers), then the 
 5th root of t|iat root, and so on, for ten continual extractions of the 
 5th root; so shall these ten roots be the natural numbers belonging to 
 the first ten logarithms, above found in continually dividing by 5 : next, 
 out of the last 5th root we are to extract the square root, then the 
 square root of this last root, and so on, for 10 successive extractions 
 of the square root ;' so shall these last 10 roots be the natural num- 
 bers corresponding to the logarithms or quotients arising from the last 
 ten divisions by the number 2. And from these twenty logarithms, 
 1, 2, 4, 8, 16, &c, and their natural numbers, the author observes 
 that other logarithms and their numbers may be formed, namely, by 
 adding the logarithms, and multiplying their corresponding num- 
 bers. 
 
 It is evident that this process would generate rather an antiloga- 
 rithmic canon, such as Dodson's, than the table of Briggs ; and that 
 the method would also be very laborious, since, besides the very 
 troublesome original extractions of the 5th roots, all the numbers 
 would be very large, by the multiplication of which the successive 
 secondary natural numbers are to be found. 
 
 Our author next mentions another method of deriving a few of the 
 primitive numbers and their logarithms, namely, by taking continually 
 geometrical means, first between 10 and 1, then between 10 and 
 this mean, and again between 10 and the last mean, and so on; and 
 taking the arithmetical means between their corresponding logarithms. 
 He then lays down various relations between numbers and their loga- 
 rithms ; such as, that the products and quotients of numbers answer 
 to the sums and differences of tlieir logarithms, and that the powers 
 and roots of numbers answer to tlie products and quotients of the 
 logarithms by the index of the power or root, &c; as also that, of 
 any two numbers whose logarithms are given, if each number be raised 
 to the power denoted by the logarithm of the other, the two results 
 
LOGARITHxMS. 49 
 
 will be equal. He then delivers another method of making the loga- 
 rithms to a few of the prime integer numbers, which is well adapted 
 for constructing the common table of logarithms. This method ea- 
 sily tbllows from what has been said above ; and it depends on this 
 property, that the logarithm of any number in this scale, is 1 less than 
 the number of places or figures contained in that power of the given 
 number whose exponent is 10000000000, or the logarithm of 10, at 
 least as to integer numbers, for they really differ by a fraction, as is 
 shown by Mr. Briggs in his illustrations of these properties, printed at 
 the end of this appendix to the construction of logarithms. I sliall here 
 set down one more of these relations, as the manner in which it is ex- 
 pressed is exactly similar to that of fluxions and fluents, and it is this : 
 Of any two numbers, as the greater is to the less, so is the velocity 
 of the increment or decrement of the logarithms at the less, to the ve- 
 locity of the increment or decrement of the logarithms at the greater: 
 that is, in our modern notation, as X: Y',i j/ to x, where x and 3^ are 
 the fluxions of the logarithms of X and F. 
 
 Kepler's Construction of Logarithms, 
 
 The logarithm's of Briggs and Kepler were both printed the same 
 year, 1624; but as the latter are of the same kind as Napier's, we 
 shall here give this author's construction of them, before proceeding 
 to that of Briggs's. We have already (pa. ^\ et seq) described the na- 
 ture and form of Kepler's logarithms, showing that they are of the same 
 kind as Napier's, but only a little varied in the form of the table.. It may 
 also be added, that, in general, thejleas which these two masters had on 
 this subject, w*ere of the same n^4sl"e : only it was more fully and metho- 
 dically laid down by Kepler, wdjl^fexpanded, and delivered in a regular sci- 
 ence, the hints that were given by the illustrious inventor. The founda- 
 tion and nature of their methods of construction are also the same, )ut 
 only a little varied in their modes of. applying them. Kepler here, firbi 
 of any, treats of logarithms in the true and genuine way of the mea- 
 sures of ratios, or proportions*, as he calls them, and that in a very 
 full and scientific manner : and this hfiethod of his was aiterwards fol- 
 lowed and abridged by Mercator, Halley, C otes, and others, as we 
 shall see in the proper places. Kepler first erects, a regular and purely 
 mathematical system of proportions, and the measures of proportions, 
 treated at considerable leingth in a number of propositions, which are 
 fully and chastely demonstrated by genuine mathematical reasoning, 
 ^nd illustrated by examples in numbers. This part contains and de- 
 
 * Kepler almost always uses the term proportion instead of ration which I also 
 shall do in my account of his work, as well as conform in expressions and nota- 
 tions to his other peculiarities. It may also be here remarked, that I observe the 
 same practice in describing the works of other authors, the better to convey the 
 idea of their several methods and style. And this may serve to account for some 
 •eeming ine<jusilitics in the janguage-of this history. 
 
 H 
 
50 GONSTRUCTION OF 
 
 monstrates both the nature and the principles of the structure of la* 
 garithnis. And in the second part he applies those principles in the 
 actual construction of liis table, which contains only 1000 numbers, and 
 their logarithms, in the form as we before described : and in this part 
 lie indicates the various contrivances employed in deducing the lo- 
 garithms of proportions one from another, after a few of the leading 
 ones had been first formed, by the general and more remote princi- 
 ples. He uses the name hgarithms, given them by the inventor, 
 being the 'most proper, as expressing the very nature and essence of 
 those artificial numbers, aftd containing as it were a definition in the 
 very name of them ; but without taking any notice of the inventor> 
 or of the origin of those useful numbers. 
 
 As this tract is very curious and important in itself, and is besides 
 very rare and little known, instead of a particular description only, 
 I shall here give a brief translation of both the parts, omitting only 
 the demonstrations of the propositions, and some rather long illustra- 
 tions of them. The book is dedicated to Philip, landgrave of Hesse, 
 but is without either preface or introduction, and commences imme- 
 diately with the subject of the first part, which is entitled The Demon- 
 stration of the Structure of Logarithms ; and the contents of it are as 
 follow : 
 
 Postulate 1. Tliat all proportions equal among themselves, by what- 
 ever variety of couplets of terms they may be denoted, are measured 
 or expressed by the same quantity. 
 
 Axiom 1. If there be any number of quantities of the same kind, 
 the proportion of the extremes is understood to be composed of all the 
 proportions of every adjacent couplet of terms, from the first to the last. 
 
 1 Propositioru The mean proportional between two terms, divides 
 the proportion of those terms into two equal proportions. 
 
 Axiom 2. Of any number of quantities regularly increasing, the 
 means divide the proportion of the extremes into one proportion 
 mere than the number of the means. 
 
 Postulate 2. That the proportion between any two t^rms is divi- 
 sible into any number of parts, until those parts become less than any 
 proposed quantity. 
 
 An example of this section la then inserted in a small table, in dividing the pro- 
 portion which is between 10 and 7 into 1073741824 equal parts, by as many 
 mean proportionals wanting one, namely, by taking the mean proportional be- 
 tween 10 and 7, then the mean between 10 and this mean, and the mean between 
 10 and the last, and so on for 20 means, or 30 extractions of the square rpot, the 
 last or 30th of which roots is 9999999996678205^900 j and the 30th power of 2, 
 which is 1073741 8£'4, shows into how many parts the proportion between 10 and 
 7, or between lOOO&c, and 7OO&C, is divided by 1073741824 means, each of 
 which parts is equal to the proportion between lOOO&c, and the 30th mean 
 99g8cc, that is, the proportion between lOOO&c, and 999&C, is the 1073741824th 
 part of the proportion oetween 1 and 7. Then by assuming the small differ- 
 ence 00000000033217943100, for the measure of the very small element of the 
 proportion of 10 to 7, or for the measure of the proportion of lOOO&c, to 999&c, 
 or for the logarithm of this last term, and muluplying it by 1073741824, the 
 number of parts, the product gives 35667.49481.37222.14400, for the logarithm 
 of the less term 7 or 7OO&C. 
 
 Postulate 3. That the extremely sisall quantity or elemeut of a pro- 
 
LOGARITHMS. 61 
 
 portion may be measured or denoted by any quantity whatever; as, for 
 instance, by the difference of the terms of that element. 
 
 2 Propostiion, Of three continued proportionals, the difference of 
 the two first has to the difference of the latter two, the same proportion 
 which the first term has to the 2d, or the 2d to the 3d. 
 
 3 Prop. Of any continued proportionals, the greatest terms have the 
 greatest dift'erence, and the least terms the least. 
 
 4 Prop. In any continued proportionals, if the difference of the 
 greatest terms be made the measure of the proportion between them, 
 the difference of any other couplet will be less than the true measure 
 of their proportion. 
 
 5 Prop, In continued proportionals, if the difference of the greatest 
 terms be made the measure of their proportion, then the measure of the 
 proportion of the greatest to any other term will be greater than their 
 difference, 
 
 6 Prop. In continued proportionals, if the difference of the greatest 
 term and any one of the less, taken not immediately next to it, be made 
 the measure of their proportion, then the proportion which is between 
 the greatest and any other term greater than the one before taken, will 
 be less than the difference of those terms ; but the proportion which is 
 between the greatest term, and any one less tlian that first taken, will 
 be greater than.their difference. 
 
 7 Prop. Of any quantities placed according to the order of their 
 magnitudes, if any two successive proportions be equal, the three 
 successive terms which constitute them will be continued propor- 
 tionals. 
 
 8 Prop, Of any quantities placed in the order of their magnitudes, 
 if the intermediates lying between any two terms be not among the 
 mean proportionals which can be interposed between the said two 
 terms, then such intermediates do not divide the proportion of those 
 two terms into commensurable proportions. 
 
 Besides the demonstrations, as usual, several definitions are here given ; as 
 of commensurable proportions, &:c.' "^ 
 
 9 Prop, When two expressible lengths are not to one another as two 
 figurate numbers of the same species, such as two squares, or two cubes, 
 there cannot fall between them other expressible lengths, which shall 
 be mean proportionals, and as many in number as that species re- 
 quires,, namely, one in the squares, two in the cubes, three in the 
 biquadrats, &c. 
 
 10 Prop. Of any expressible quantities, following in the order of 
 their magnitudes, if the two extremes be not i "i the proportion of two 
 square numbers, or two cubes, or two other powers of the same kind, 
 none of the intermediates divide the proportion into commensurables. 
 
 1 1 Prop. All the proportions, takfen in order, which are between ex- 
 pressible terms that are in arithmetical proportion, are incommensur- 
 able to one another. As between 8, 13, 18. 
 
 12 Pivp^ Of any quantities placed in the order of their magnitude, if 
 
 H2 
 
62 CONSTRUCTION OF 
 
 the difference of the greatest terms he made the measure of their pfo- 
 portiorij then the difference between any two others will be less than 
 the measure of tlieir proportion ; and if the difference of the two least 
 terms be made the measure of their proportion, then the differences of 
 the rest will be greater than the measure of the proportion between 
 their terms. 
 
 Cowl If the measure of the proportion between the greatest exceed 
 their difference, then the proportion of this measure to the said differ- 
 ence, will be less than that of a following measure to the difference of 
 its terms. Because proportionals have the same ratio. 
 
 13 Pro/?. v,If three quantities follow one another in the order of mag- 
 nitude, the proportion of the two last will be contained in the propor- 
 tion of the extremes, a less number of times than the difference of the 
 two least is contained In the difference of the extremes : And, on the 
 contrary, the prdportion of the two greatest will be contained in the 
 proportion of the extremes, oftener than the difference of the former is 
 contained in that of the latter. 
 
 Corol. Hence, if the difference of the two greater be equal to the 
 difference of the two less terms, the proportion between the two greater 
 will be less than the proportion between the two less. 
 
 14 Prop. Of three equidifferent quantities, taken in order, the pro- 
 portion between the extremes is more than double the proportion be- 
 tween the two, greater terms. 
 
 CoroL Hence it follows, that half the proportion of the extremes is 
 greater than the proportion of the two greatest terms, but less than the 
 proportion of the two least. 
 
 1 5 Prop, If two quantities constitute a proportion, and each quantity 
 be lessened by half the greater, the remainders will constitute a pro- 
 portion greater than double the former. 
 
 16 Prop. The aliquot parts of incommensurable proportions are in- 
 commensurable to each other. 
 
 17 Prop. If one thousand numbers follow one another in the na- 
 tural order, beginning at 1000, and differing all by unity, viz. 1000, 
 099j 998, 997j&c; and the proportion between the two greatest 1000, 
 999? by continual bisection, be cut into parts that are smaller than 
 the excess of the proportion between the next two 999? 998, over the 
 said proportion between the two greatest 1000, 999; and then for 
 the measure of that small element of the proportion between 1000 and 
 999? there be taken the difference of 1000 and that mean proportional 
 which is the other term of the element. Again, if the proportion be- 
 tween 1000 and 998 be likewise cut into double the number of parts 
 which the former proportion, between 1000 and 999, was cut into: 
 and then for the mgasure of the small element in this division, be taken 
 the difference of its terms, of which tlie greater is 1000. And in the 
 same manner, if the proportion of 1000 to the following numbers, 
 as 997? &c, by continual bisection, be cut into particles of such 
 magnitude, as may be between |. and | of the element arising from 
 the section of the first proportion between 1000 and 999, the measure 
 
LOGARITHMS. 53 
 
 »of each element will be given from the difference of its terms. Tlien, 
 this being done, the measure of any one of the 1000 proportions will 
 be composed of as many measures of its element as there are of those 
 elements in the said divided proportion. And all these measures, 
 for all the proportions, will be suflPiciently exact for the nicest calcu- 
 lations. 
 
 All these sections and measures of proportions are performed in the manner of 
 that described at postulate 2, and tiie operation is abundantly explained by 
 numerical calculations. 
 
 18 Prop. The proportion of any number, to the first term 1000, be- 
 ing known : there will also be known the proportion of the rest of the 
 numbers in the same continued proportion, to the said first term. 
 
 So from the known proportion between 1000 and 900, 
 there is also known the proportion of 1000 to 810, and to 729 ; 
 And from 1000 to 800, also 1000 to 640, and to 512 ; 
 And from 1000 to 700, also 1000 to 4^0, and to 343 ; 
 And from 1000 to 600, also 1000 to 360, and to 216; 
 And from 1000 to 500, also 1000 to 250, and to 125. 
 
 CoroL Hence arises the precept for squaring, cubing, &c ; as also 
 for extracting the square root, cube root, &c, out of the first figures of 
 numbers. For [\ will be, as the greatest number of the chiliad, as a 
 denominator, is to the number proposed as a numerator, so is this to 
 the square of the fraction, and so is this to the cube. 
 
 19 Prop. The proportion of a number to the first, or 1000, being 
 known; if there be two other numbers in the same proportion to each 
 other, then the proportion of one of these to 1000 being known, there 
 will also be known the proportion of the other to the same 1000. 
 
 Cowl. 1. Hence from the 15 proportions mentioned in prop. 18, 
 will be known 120 others belovv^ 1000, to the same 1000. 
 
 For so many are the proportions, equal to some one or other of the said 15, 
 that are among the other integer numbers which are less than 1000. 
 
 Cowl 2. Hence arises the method of treating the Rule-of-Three, 
 when 1000 is one of the given terms. 
 
 For this is effected by adding to, or subtracting from, each other, the measures 
 of the two proportions of 1000 to each of the other two given numbers, ac- 
 col-ding as 1000 is, or is not, the first term in the Rule-of-Three. 
 
 20 Prop, When four numbers are proportional, the first to the se- 
 cond as the third to the fourth, and the proportions of 1000 to each of 
 the three former are known, there will also be known the proportion 
 of 1000 to the fourth number. 
 
 Coral 1. By this means other chiliads are added to the former. 
 
 Corol 2. Hence arises the method of performing the Rule-of-Three, 
 when 1000 is not one of the terms. Namely, from the sum of the 
 measures of the proportions of 1000 to the second and third, take that 
 of 1000 to the first, and the remainder is the measure of the proportion's 
 of 1000 to the fourth term. 
 
U CONSTRUCTION OF 
 
 Definition, The measure of the proportion hetvveen 1000 and any 
 less number as before described, and expressed by a number, is set 
 opposite to that less number in the chiliad, and is called its loga- 
 rithm, that is, the number (a/jjS^of) indicating the proportion 
 (Aoyov) which 1000 bears to that number, to which the logarithm is 
 annexed. 
 
 21 Prop. If the first or greatest number be made the radius of a 
 circle, or sinus totus ; every less number, considered as the cosine of 
 some arc, has a logarithm greater than t^lie versed sine of that arc, but 
 less than the difference between the radius and secant of the arc ; ex- 
 cept only in the term next after the radius, or greatest term, the loga- 
 rithm of which, by the hypothesis, is made equal to the versed sine. 
 
 That is, if CD be made the logarithm of AC, or the mea- 
 sure of the proportion of AC to AD ; then the measure of 
 the proportion of AB to AD, that is the logarithm of AB, 
 will be greater than BD, but less than EF. And this is the 
 
 same as Napier's first rule in paee 45. 
 
 ^^ A BCD 
 
 22 Prop. The same things being supposed ; the sum of the versed 
 sine and excess of the secant over the radius, is greater than double 
 the logarithm of the cosine of ap arc. 
 
 Corol. The log. cosine is less than the arithmetical mean between 
 the versed sine and the excess of the secant. 
 
 Precept 1. Any sine being found in the canon of sines, and its de- 
 fect below radius to the excess of the secant above radius, then shall 
 the logarithm of the sine be less than half that sum, but greater than 
 the said defect or coversed sine. 
 
 Let there be the sine 99970. 14p0 of an arc : 
 
 Its defect below radius is 29.8310 the covers, and less than the log. sine: 
 
 Add the excess of the secant 29.8.399 
 
 Sum 59.7109 
 its half or 29.8555 greater than the logarithm. 
 Therefore the log. is between 29-8510 
 and 29.8555 
 
 Precept 2. The logarithm of the sine being found, you will also 
 find nearly the logarithm of the round or integer number, which is 
 next less than the sine with a fraction, by adding that fractional ex- 
 cess to the logarithm of the said sine. 
 
 Thus, the logarithm of the sine 99970.149 is found to be about 29.854 ; if now 
 the logarithm of the round number 99970.000 be required, add 149, the frac- 
 tional part of the sine, to its logarithln, observing the point, thus, 
 29-854 
 149 
 
 % 
 
 the sum 30.003 is the log. of the round number 9997O.OOO nearly. 
 
 23 Prop. Of three equidifFerent quantities, the measure of the 
 proportion between the two greater terms, with the measure of the 
 
1 
 
 1 
 
 1 
 
 1 
 
 A 
 
 B 
 
 C 
 
 D 
 
 
 \ 
 
 1 
 
 1 
 
 LOGARITHMS. 55 
 
 proportion between the two less terms, will constitute a proportion, 
 which will be greater than the proportion of the two greater terms, but 
 less than the proportion of the two least. 
 
 Thus if AB, AC, AD, be three quantities, having 
 the equal differences BC, CD ; and if the measure of the 
 
 Eroportion of AD, AC be cd, and that of AC, AB be 
 c ; then the proportion of cd to cb will be greater than 
 the proportion of AC to AD, but less than the propor- 
 tion of AB to AC. 
 
 24 Prop. The said proportion between the two measures is less 
 than half the proportion between the extreme terms. That is, the 
 proportion between be, cd, is less than half the proportion between 
 
 AB, AD. 
 
 Corol. Since therefore the arithmetical mean divides the propor- 
 tion into unequal parts, of which the one is greater, and the otlier less, 
 than half the whole; if it be inquired what proportion is between 
 these proportions, the answer is, that it is a little less than the said 
 half. 
 
 An Example of finding nearly the limits, greater and less, to the mea- 
 sure of any proposed proportion. 
 
 It being known that the measure of the proportion between 1000 and QOO is 
 10536.05, required the measure of the proportion 9OO to 800, where the terms 
 1000, 900, 800, have equal differences. Therefore as 9 to 10, so 10536.05 to 
 1 1706.72, which is less than 11778.30 the measure of the proportion 9 to 8. 
 Again, as the mean proportional between 8 and 10 (which is 8-94427 1 9) is to 10, 
 so 10536.05 to 11779.66, which is greater than the measure of the proportion be- 
 tween 9 and 8. 
 
 Axiom. Every number denotes an expressible quantity. 
 
 25 Prop. If tlie 1000 numbers differing by 1, follow one another 
 in the natural order; and there be taken any two adjacent numbers, as 
 the terms of some proportion ; the measure of this proportion will be to 
 the measure of the proportion between the two greatest terms of the 
 chiliad, in a proportion greater than that which the greatest term 1000 
 bears to the greater of the two terms first taken, but less than the pro- 
 portion of 1000 to the less of the said two selected terms. 
 
 So, of the 1000 numbers, taking any two successive terms, as 501 and 500, the 
 logarithm of the former being 69I 14-92, and of the latter 69314.72, the difference 
 of which is 199.8O. Therefore, by the definition, the measure of the proportion 
 between 501 and 500 is 199.8O. In like manner, because the logaritnm of the 
 greatest term 1000 is 0, and of the next 999 is 100.05, the difference of these loga- 
 rithms, and the measure of the proportion between 1000 and 999, is 100.05. 
 Couple now the greatest term 1000 with each of the selected terms 501 and 500} 
 couple also the measure I99.8O with the raeasiire 100.05; so shall the proportion 
 between 199.8O and 100.05, be greater than the proportion between 1000 and 501, 
 iiut less than the proportion between 1000 and 500. 
 
 Corol. 1. Any number below the first 1000 being proposed, as also 
 it! logarithm, the differences of any logaritlims antecedent to that 
 
56 > CONSTRUCTION OF 
 
 proposed, towards the beginning of the chiliad, are to the first loga- 
 rithm (viz. that vyhich is assigned to 999) in a greater proportion tlian 
 1000 to the number proposed ; but of those which follow towards the 
 last logarithm, they are to the same in a less proportion. 
 
 Corol. 2. By this means, the places of the chiliad may easily be 
 filled up, which have not yet had logarithms adapted to them by the 
 former propositions. 
 
 26 Prop. Tlie difference of two logarithms, adapted to two adjacent 
 numbers, is to the difference of these numbers, in a proportion greater 
 than 1000 bears to the greater of those numbers, but less than that of 
 lOOO to the less of the two numbers. 
 
 This 26th prop, is the same as Napier's second rule, at page 45. 
 
 27 Prop, Having given two adjacent numbers, of the 1000 natural 
 numbers, with their logarithmic indices, or the measures of the propor- 
 tions which those absolute or round numbers constitute with 1000, the 
 greatest ; the increments, or differences, of these logarithms, will be to 
 the logarithm of the small element of the proportions, as the secants of \ 
 the arcs whose cosines are the two absolute numbers, is to the greatest 
 number, or the radius of the circle ; so that, however, of the said two 
 secants, the less will have to the radius a less proportion than the pro- 
 posed difference has to the first of all, but the greater will have a 
 greater proportion, and so also will the mean proportional between the 
 said secants have a greater j)roportion. 
 
 Thus if BC, CD be equal, also b d the logarithm of A B, 
 and c d the logarithm of A C ; then the proportion of b c 
 to c d will be greater than the proportion of A G to A D, but 
 less than that of A F to A D, and also less than that of the 
 jnean proportional between A F and A G to A D. 
 
 Corol. 1 . The same obtains also when the two terms differ, not only 
 - by the imit of the small element, but by another unit, which may be 
 * ten fold, a hundred fold, or a thousand fold of that. 
 
 Coi'oL 2. Hence the differences will be obtained sufficiently exact, 
 especially when the absolute numbers are pretty large, by taking the 
 arithmetical mean between two small secants, or (if you will be at the 
 labour) by taking the geometrical mean between two larger secants, 
 and then by continually adding the differences, the logarithms will be 
 produced. 
 
 Corol. 3. Precept. Divide the radius by each term of the assigned 
 proportion, and the arithmetical mean (or still nearer the geometrical 
 mean) between the quotients, will be the required increment ; which 
 being added to the k -arithm of the greater term, will give the lo- 
 garijhm of the less term. 
 
LOGARITHMS, 57 
 
 ' Example, 
 
 Let there be given the logarithm of 700, viz. 35607-4948, to find the lo^. to 6qc), 
 Here radius divided by 700 gives 14S;857l &c. 
 and divided by 699 gives 1430672 &e. 
 the arithmetic, mean is 142.QG2 
 which added to 35667.4948 
 
 gives the logarithm to 699 35810.4568 
 
 Corol. 4. Precept for the logarithins of sines. 
 
 The increment between the logarithms of two sines, is thus found : 
 find the geometrical mean between the cosecants, and divide it by 
 the difference of the sines, the quotient will be the difference of the 
 logarithms. 
 
 JExampjle, 
 
 The quotient 80000 exceeds the res- 
 quired increment of the logarithms, be- 
 cause the secants are here so larse. 
 
 0^ 1' sine 29O9 cosec. 343774682 
 
 2 sine 5818 cosec. 171887319 
 
 • dif. 2909 geom. mean 2428 nearly. 
 
 Appendix. Nearly in the same manner it may be shown, that the 
 second differences are in the duplicate proportion of the first, and the 
 third in tli£ duplicate of the second. Thus, for instance, in the be^ 
 ginning of the logarithms, the first difference is 100.00000, viz. equal 
 to the difference of the numbers 100000.00000 and 99900.00000; 
 the second or difference of the differences, 10000; the third 20, 
 Again, after arriving at tlie number 50000.00000, the logarithms 
 have for a difference 200.00000, which is to the first difference, as 
 the number 100000.00000 to 50000.00000; but the second differ-* 
 ence is 40000, in which 10000 is contained 4 times; and the 
 third 328, in which 20 is contained 16 times. But since in treating 
 of new matters we labour under the want of proper words, there- 
 fore, lest we should become too obscure, the demonstration is omitted 
 untried. 
 
 28 Prop. No number expresses exactly the measure of the proper* 
 tlon between two of the 1000 numbers, constituted by the foregoing 
 method. 
 
 29 Prop. If the measures of all proportions be expressed by numbers 
 or logarithms ; all proportions will not have assigned to th^na their 
 due portion of measure, to the utmost accuracy. 
 
 30 Prop. If to the number 1000, the greatest of the chiliad, be 
 referred others that are greater than it, and the logarithm of 1000 be 
 made 0, the logarithms belonging to those greater numbers will be 
 negative. 
 
 This concludes the first or scientific part of the work, the principles 
 of which Kepler applies, in the second part, to the actual c<?nstruction 
 of the first 1000 logarithms, which construction is pretty minutely 
 described. This part is entitled A very compendious Method of con- 
 structing the Chiliad of Logarithms ; and it is not improperly so called, 
 the method being very concise and easy. The fundamental principles 
 are briefly these : That at the beginning of the logarithms, their in* 
 
58 CONSTRUCTION OF 
 
 crements or differences are equal to those of the natural numheis : that 
 the natural numbers nmy be considered as the decreasing cosines of in- 
 creasing arcs; and that the secants of those arcs at the beginning have 
 -the same differences as the cosines, and therefore the same differences 
 as the logarithms. Then, since the secants are the reciprocals of the 
 cosines, by these principles and the third corollary to the 27th propo- 
 sition, he estabhslies the following method of constituting the 100 first 
 or smallest logarithms to the 100 largest numbers, 1000, 999, 998, 
 997, &c, to 900. viz. Divide the radius 1000, increased Avith seven 
 ciphers, by each of these numbers separately, disposing the quotients 
 in a table, and they will be the secants of those arcs which have the 
 divisors for their cosines; continuing the division to the 8th figure, as 
 it is in that place only that the arithmetical and geometrical means 
 differ. Then by adding successively the arithmetical means between 
 every tvvo successive secants, the sums will be the series of logarithms. 
 Or by adding continually every two secants, the successive sums will be 
 the series of the double logarithms. 
 
 Besides these lOO logarithms, thus constmcted, he constitutes two 
 others by continual bisection, or extractions of the square root, after 
 the marmer described in the second postulate. And first he finds the 
 logarithm which measures the proportion between 100000.00 and 
 976'56.25, which latter term is the third proportional to 1024 and 
 1000, each with two ciphers ; and this is effected by means of twenty- 
 four continual extractions of the square root, determining the greatest 
 term of each of twenty-four classes of mean proportionals ; then the 
 difference between the greatest of these means and the first or whole 
 number 1000, with ciphers, being as often doubled, there arises 
 2371.6526 for the logarithm sought, which made negative is the loga- 
 rithm of 1024. Secondly, the like process is repeated for the propor- 
 tion between the numbers 1000 and 500, from which arises 69314.7193 
 for the logarithm of 500 ; which he also calls the logarithm of duplica- 
 tion, being the measure of the proportion of 2 to 1 . 
 
 Then from t!ie foregoing he derives all the other logarithms in the 
 chiliad, beginning with t])ose of the prime numbers 1, 2, 3, 5, 7? &c, 
 in the first 100. And first, since 1024, 512, 256, 128, 64, 32, 16, 8, 
 4, 2, 1, are all in the continued proportion of 1000 to 500, therefore 
 the proportion of 1024 to 1 is decuple of the proportion of 1000 to 
 500, and consequently the logarithm of 1 would be decuple of the 
 logarithm of 500, if were taken as the logarithm of 1024 ; but since 
 the logarithm of 1024 is applied negatively, the logarithm of 1 must 
 be diminished by as much : diminishing therefore 10 times the loga- 
 rithm of 500, which is 693147-1928, by 2371.6526, the remainder 
 6*90775.5422 is the logarithm of 1, or of 100.00, what is set down in 
 the table. 
 
 And because 1, 10, 100, 1000, are continued pro- 
 portionals, tljerefore the proportion of 1000 to 1 is 
 triple of the proportion of 1000 to 100, and conse- 
 quently -J of the logarithm of 1 is to be put for the 
 logarithm of 100, "viz. 230258.5141, and this is 
 also the logarithm of decuplication, or of the pro- 
 
 Nos. 
 
 Logan thms. 
 
 100 
 
 20')258.5141 
 
 10 
 
 460517.0282 
 
 1 
 
 690775.5422 
 
 a 
 
 921034.0563 
 
 .01 
 
 1151292.5703 
 
 .001 
 
 1381551.0844 
 
 .0001 
 
 16I1B09.59S5, 
 
LOGARITHMS. 59 
 
 portion of 10 to 1. And hence, multiplying this logarithm of 100 
 successively by 2, 3, 4, 5, 6', and /? there arise the logarithms to the 
 numbers in the decuple proportion, as in the margin. 
 
 Also if the logarithm of duplication, or of the 
 proportion of 2 to 1, be taken from the logarithm ^f • f^ ] ^eS ui'tga 
 of 1, there will remain the log-arithm of 2; and i^^ ^f^ 6-21460.8229 
 from the logarithm of 2 taking the logarithm of log* of jo 4605 17. 028 1 
 1 0, there remains the logarithm of the proportion of 5 to 1 i 6o94;3.7948 
 of 5 to 1 ; which taken from the logarithm of 1, log. of 5 5298^1.7474 
 there remains the logarithm of 5. See the margin. 
 
 For the logarithms of other prime numbers, he lias recourse to 
 those of some of the first or greatest century of numbers, before found, 
 viz. of 999, 998, 997, &c. And first, taking 96O, whose logarithm is 
 4082.2001 ; then by adding to this logarithm the logarithm of duplica- 
 tion, there will arise the several logarithms of all those numbers, which 
 are in duplicate proportion continued from 960, namely 480, 240, 120, 
 60, 30, 1 5. Hence, the logarithm of 30 taken from the logarithm of 
 10, leaves the logarithm of the proportion of 3 to 1 ; which taken from 
 the logarithm of 1, leaves the logarithm of 3, viz. 580914.3106. And 
 the double of this diminished by the logarithm of 1, gives 471053.0790 
 for the logarithm of 9. 
 
 Next, from the logarithm of 990, or 9 x 10 x 11, which is 
 1005.0331, he finds the logarithm of 11, namely, subtract the sum of 
 the logarithms of 9 and 10 from the sum of tlie logarithm of 990 and 
 double the logarithm of 1, there remains 450986.0106 the logarithm 
 of 11.. 
 
 Again, from the logarithm of 980, or 2x10x7 x75 which Is 
 2020.2711, he finds 496184.5228 for the logarithm of 7. 
 
 And from 5 129.3303 the logarithm of 950, or 5 X 10 x 19, he finds 
 S9633 1 .6392 for the logarith m of 1 9. 
 
 In like manner the logarithm 
 
 to 998 or 4 x 13 X 19, gives the logarithm of 13; 
 to 969 or 3 X 17 X 19, gives the logarithm of 17; 
 to 986 or 2 x 1 7 X 29, gives the logarithm of 29 ; 
 to 966 or 6 X 7 X 23, gives tlie logarithm of 23 ; 
 - to .930 or 3 X 10 X 31, gives the logarithm of 31. 
 
 And so on for all the primes below 100, and for many of the 
 primes in the oth^r centuries up to 900. After which, he directs 
 to find the logarithms of all numbers com|x>sed of these, by the pro- 
 per addition and subtraction of their logarithms, namely, in finding 
 the logarithm of the product of two numbers, from the sum of the 
 logarithms of the two factors take the logarithm of 1, the remainder 
 is the logarithm of the product. In this way he shows that the loga- 
 rithms of all numbers under 500 may be derived, except those of the 
 following 36 numbers, namely, 127, 1^9, 167, 173, 179, 211,223, 
 251, 257, 263, 269, 27 1, 277, 281, 283, 293, 337, 347, 349, 353, 
 359, 367, 373, 379, 383, 389, 397, 401, 409,419,421, 431,433, 
 439, 443, 449. Also, besides the composite numbers between 500 
 and 900, made up of the products of some numbers whose logarithrns 
 have been before determined, there will be 59 primes not composed 
 
 12 
 
60 CONSTRUCTION OF 
 
 of them; wliich, with the 36 above mentioned, make 95 numbers irf 
 all, not eomposed of the products of any before them, and the loga- 
 ritnms of which he directs to be doilved in this manner; namely, by 
 considering the differences of the logarithms of the numbers inter- 
 spersed among them : then by that method by which were constituted 
 the differences of the logarithms of the smallest 100 numbers in a 
 continued . series, we are to proceed here in the discontinued series, 
 that is, by prop. 27, corol. 8, and especially by the appendix to it, 
 if it be rightly used, whence those differences will be Very easily 
 supplied. 
 
 This closes the second part, or the actual construction of the loga- 
 rithms ; after which follows the table itself, which has been before 
 described, pa. 32. Before dismissing Kepler's work, however, it may 
 not be improper in this place to take notice of an erroneous property 
 laid down by him in the appendix to the 27th prop, just now referred 
 to; both because it is an error in principle, tending to vitiate the 
 practice, and because it serves to show that Kepler was unacquainted 
 with the true nature of the orders of differences of the logarithms, 
 notwithstanding what he says above with respect to the construction 
 of them by means of their several orders of differences, and that con- 
 sequently he has no legal claim to any share in the discovery of the dif- 
 ferential method, known at that time to Briggs, and it would seem to 
 him alone, it being published in his logarithms in the same year, 1624^ 
 as Kepler's book, together with the true nature of the logarithmic 
 orders of differences, as we shall presently see in the following ac- 
 count of his works. Now this error of Kepler's here alluded to, is 
 in that expression where he says the third differences are in the dupli- 
 cate ratio of the second differences, like as the second differences are iri 
 the duplicate ratio of the first ; or, in other words, that the third dif- 
 ferences are as the squares of the second differences, as well as the 
 second differences as the squares of the first; or that the third dif- 
 ferences are as the fourth powers of the first differences. Whereas in 
 truth the third differences are only as the cubes of the first differences. 
 Kepler seems to have been led into this error by a mistake in his num- 
 bers, viz. when he says in that appendix, that the third difference is 
 328, in which 20 is contained, 16 times; for Vviien the numbers are ac- 
 curately computed, the third differerice comes out only 161, in which 
 therefore 20 is contained only 8 times, whicli is the cube of 2, the 
 number of times the one first difference contains the other. It would 
 hence seem that Kepler had hastily drawn the above erroneous prin- 
 ciple from this one numerical example, or little more, false as it is ; 
 for had he made the trial in many instances, though erroneously com- 
 puted, they could not easily have been so uniforndy so, as to afford 
 the same fid se conclusion. And therefore from hence, and what he 
 says at the conclusion of that appendix, it may be inferred, that he 
 either never attempted the demonstration of the property in question^ 
 or else that he found himself embarrassed with it, and unable to ac- 
 complish it, and therefore dispatched it in the ambiguous manner ia 
 which it appears. 
 
 But it may easily be shown, not only that the tln'rd differences of the 
 
LOGARITHMS; 6i 
 
 logarithms at different places, are as the cubes of the first differences ; 
 but, in general, that the numbers in anyone and the same order of 
 differences, at different places, are as that power of the numbers in the 
 first differences, whose index is the same as that of the order : or that 
 the second, third, fourth, &c, differences, will be as the second, third, 
 fourth, &c, powers of the first differences. For the several orders of 
 differences, when the absolute numbers differ by indefinitely small 
 parts, are as the several orders of fluxions of the logarithms ; but if 
 
 X be any number, then is the fluxion of the logarithm of x, to the 
 
 X 
 
 modulus ?n, and the second fluxion, or the fluxion of this fluxion. 
 
 Is , since x is constant: and the third, fourth, Sec, fluxions 
 
 x'^ 
 
 are — —, -^^ -, Sec; that is, the first, second, third, fourth, fifth, 
 
 X^ cX"* 
 
 sixth, &c, orders of fluxions, are equal to the modulus m multiplied into 
 each of these terms, 
 
 X li* 1.2a}' 1.2.3^^ 1.2.3.4:c^ 1.2.3.4.50;'^ 
 ^' ""'^' ~~^' x^ ' ^^ ' V' ' ' 
 
 where it is evident, that the fluxion of any order is as that power of the 
 first fluxion, whose index is the same as the number of the order. 
 And these quantities would actually be the several terms of the differ- 
 ences themselves, if the differences of the numbers were indefinitely 
 small. But they vary the more from them, as the differences of the 
 absolute numbers differ from x, or as the said constant numerical dif- 
 ference 1 approaches towards the value of x the number itself. How- 
 ever, on the whole, the several orders vary proportionably, so as 
 still sensibly to preserve the same analogy, namely, that two wth dif- 
 ferences are in proportion as the ?2th powers of their respective first 
 differences. 
 
 Of Briggs's Construction of his Logarithms, 
 
 Nearly according to the , methods described in page 48, Mr. Briggs 
 constructed the logarithms of the prime numbers, as appears from his 
 relation of this business in the Arithimetica Logarithmicay printed in 
 1624, where he details, in an ample manner, the whole construction 
 and use of his logarithms. The work is divided into 32 chapters 
 or sections. In the first of these, logarithms in a general sense are 
 defined, and some properties of them illustrated. In the second 
 chapter he remarks, that it is most convenient to make the logarithm 
 of 1 ; and on that supposition he exemplifies these following properties, 
 namely, that the logarithms of all numbers are either tlie indices of 
 powers, or proportional to them ; that the sum of the logarithms' of 
 two or more factors, is the logarithm of their product ; and that the 
 difference of the logarithms of two numbers, is the logarithm of their 
 quotient. In the third section, he states the otliej assumption which 
 
C2 CONSTRUCriON OF 
 
 is necessary to limit his s}'stem of logarithms, namely, making 1 the 
 logarithm of 10, as that which produces the most convenient form of 
 logarithms : He hence also takes occasion to show that the powers of 
 10, namely, 100, 1000, &c, are the only numbers which can have 
 rational logarithms. The fourth section treats of the characteristic ; by 
 which name he distinguishes the integral, or first part, of a logarithm 
 towards the left hand, which expresses 1 less than the number of inte- 
 ger places or figures in the number belonging to that logarithm, or how 
 far the first figure of this number is removed from the place of units ; 
 namely, that is the characteristic of the logarithms of all numbers 
 from 1 to 10; and I the characteristic of all those from 10 to 100; 
 and 2 that of those from 100 to 1000; and so on. 
 
 He begins the fifth chapter with remarking, that his logarithms may 
 chiefly be constructed by the two methods which were mentioned by 
 Napier, as above related, and for the sake of which he here premises 
 several lemmata, concerning the powers of numbers and their indices, 
 and how many places of figures are in the products of numbers, ob- 
 serving that the product of two numbers will consist of as many figures 
 as there are in both factors, unless perhaps the product of the first 
 figures in each factor be expressed by one figure only, which often hap- 
 pens, and then commonly there will be 1 figure in the product less 
 than in the two factors ; as also that, of any two of the terms in a series 
 of geometricals, the results will be equal by raising each term to the 
 power denoted by the index of the other ; or any number raised to the 
 power denoted by the logarithm of the other, will be equal to this 
 latter number raised to the power denoted by the logarithm of the 
 former; and consequently if the one number be 10, whose logarithm is 
 one with any number of ciphers, then any number raised to the power 
 whose index is 1000 &c, or the logarithm of 10, will be equal to 10 
 raised to the power whose index is the logarithm of that number ; that 
 is, the logarithm of any number in this scale, where 1 is the logarithm 
 of 10, is the index of that power of 10 which is equal to the given 
 number. But the index of any integral power of 10, is 1 less than the 
 number of places in that power, consequently the logarithm of any 
 other number, v/hich is no integral power of 10, is not quite one less 
 than the number of places in that power of the given number whose 
 index is 1000 &c, or the logarithm of 10. 
 
 Find therefore the 10th, or 100th, or 1000th, &c, power of any 
 number, as suppose 2, with the number of figures in such power; then 
 shall that number of figures always exceed tlie logarithm of 2, though 
 the excess will be constantly less than I, 
 
LOGARITHMS. 
 
 63 
 
 An example of this process is 
 here given in the margin; where 
 the 1st column contains the se- 
 veral powers of 2, the 2d their 
 corresponding indices, and the 
 3d contains the numher of places 
 in the powers in the first co- 
 lumn ; and of these numbers in 
 the third column, such as are 
 on the lines of those indices that 
 consist of 1 with ciphers, are 
 continual approximations to the 
 logarithm of 2, being always 
 too great by less than 1 in the 
 last figure, that logarithm being 
 SO 102999566398 ^c. 
 
 And here, since the exact 
 powers of 2 are not required, 
 but only the number of figures 
 they consist of, as shown by 
 the tliird column, only a few 
 of the first figures of the powers 
 in the first column are retained, 
 those being sufficient to deter- 
 mine the number of places in 
 them ; and the multiplications 
 in raising these powers are per- 
 formed in a contracted way, 
 so as to have the fifth or last 
 figure in them true to the near- 
 est unit. Indeed these multi- 
 plications might be performed 
 in the same manner, retaining 
 only the first three figures, and 
 those to the nearest unit in the 
 third place; which would make 
 this a very easy way indeed of 
 finding the logarithms of a few 
 prime numbers. 
 
 It may also be remarked, that those several powers, whose indices 
 are 1 with ciphers, are raised by thrice squaring from the former 
 powers, and multiplying the £rst by the third of these squares; mak- 
 ing also the corresponding doublings and additions of their indices : 
 thus, the square of 2 is 4, and the square of 4 is 16, tlie square of 16 is 
 256, and 256 multiplied by 4 is 1024; in like manner, the double of 
 1 is 2, tiie double of 2 is 4, the double of 4 is 8, and 8 added to 2 
 makes 10. And the same for all the following powers and indices. 
 The numbers in the third column, which show how many places 
 are in the corresponding powers in the first column, are produced in 
 the very same v^-ay as those in the second column, namely, by three 
 
 Powers 
 of -2 
 
 Indices. 
 
 No. of places or 
 logs. 
 
 2 
 
 1 
 
 1 
 
 4 
 
 2 
 
 1 
 
 16 
 
 4 
 
 2 
 
 256 
 1024 
 
 8 
 
 3 
 
 10 
 
 4 log. of 2 
 
 10486 
 
 20 
 
 7 log. of 4 
 
 10995 
 
 40 
 
 13 log. of 16 
 
 12089 
 12676 
 
 80 
 
 25 log of 256 
 
 100 
 
 31 log. of 2 
 
 16069 
 
 200 
 
 61 log. of 4 
 
 25823 
 
 400 
 
 121 log. 16 
 
 66680 
 10715 
 
 800 
 
 241 log. 256 
 
 1000 
 
 302 log. 2 
 
 11481 
 
 2000 
 
 603 log. 4 
 
 13182 
 
 40{X) 
 
 1205 log. 16 
 
 17377 
 19950 
 
 SOOO 
 
 2409 log. 256 
 
 10000 
 
 3011 log. 2 
 
 39803 
 
 20000 
 
 6021 log. 4 
 
 15843 
 
 40000 
 
 12042 log. 16 
 
 25099 
 99900 
 
 80000 
 
 24083 log. 256 
 
 100000 
 
 30103 log. 2 
 
 99801 
 
 200000 
 
 60206 log. 4 
 
 99601 
 
 400000 
 
 120412 ^ 
 
 99204 
 99006 
 
 800000 
 
 240824 ' 
 
 1000000 
 
 301030 
 
 98023 
 
 2000000 
 
 602060 
 
 96085 
 
 4000000 
 
 1204120 
 
 92323 
 90498 
 
 8000000 
 10000000 
 
 2408240 
 
 3010300 
 
 81899 
 
 20000000 
 
 6020600 
 
 67075 
 
 40000000 
 
 12041200 
 
 44990 
 36846 
 
 80000000 
 100000000 
 
 24082400 
 
 30103000 
 
 13577 
 
 200000000 
 
 60206000 
 
 18433 
 
 , 4CX)000000 
 
 120411999 
 
 33977 
 46129 
 
 ! 8(XXX)0000 
 1000000000 
 
 240823997 
 
 301029996 
 
64 CONSTRUCTION OF 
 
 duplications and one addition ; only observing to subtract 1, when tliq 
 product of the first figures are expressed by one figure, or v^^hen the 
 first figures exceed those of the number or power next above them, 
 "It may further be observed, that, like as the first number in each qua- 
 ternion, or space of four lines or numbers, in the third column, ap- 
 proximates to the logarithm of 2, the first number in the first qua- 
 ternion of the first column ; so the second, third, and fourth terms of 
 each quaternion in the third column, approximate to the logerithm of 
 4, 16, and 256, the second, third, and fourth numbers in the first 
 quaternion in the first column. And moreover, by cutting off one, 
 two, three, See, figures, as the index or integral part, from the said 
 logarithms of 2, 4, 16, and 256, the first, second, tliird, and fourth 
 numbers in the f^st quaternion of the first column, the remaining 
 figures will be the decimal part of the logarithms of the corresponding 
 first, second, third, and fourth numbers in tlie following second, third, 
 fourth, &c, quaternions : the reason of which is, that any number of 
 any quaternion in the first column, is the tenth power of the corre- 
 sponding term in the next fl^eccding quaternion. So that the third 
 column contains the logarithms of all the numbers in the first column : 
 a property which if Dr. Newton had been aware of, he could not well 
 have committed such gross mistakes as are found in a table of his 
 similar to that above given, in which most of the numbers in the latter 
 quaternions are totally erroneous ; and his confused and imperfect 
 account of this method would induce one to believe that he did not 
 >vell understand it. 
 
 In the 6th chapter our illustrious author begins to treat of t'he 
 other general method of finding the logarithms of prime numbers, 
 which he thinks an easier way than the former, at least when the 
 logarithm is required to a great many places of figures. This method 
 consists in taking a great number of continued geometrical means 
 between 1 and the given number, whose logarithm is required ; tliat 
 is, first extracting the square root of the given number, then the 
 root of the first root, the root of the second root, the root of the 
 third root, and so on till the last root shall exceed 1 by a very small 
 decimal, greater or less according to the intended number of places 
 to be in the logarithm sought: then finding the logarithm of this 
 small number, by methods described below, he doubles it as often as 
 he made extractions^ of the square root, or, which is the same thing, 
 he multiplies it by such power of 2 as is denoted by the said number 
 of extractions, and the result is the required logarithm of the given 
 number ; as is evident from the nature of logarithms. The rule to 
 know how far to continue this extraction of roots is, that the number 
 of decimal places in the last root be double the number of true places 
 required to be found in the logarithm, and that the first half of them 
 be cipliers ; the integer being 1 : the reason of which is, that then 
 the significant figures in the decimal, after the ciphers, are directly 
 proportional to those in the corresponding logarithms ; such figures 
 in the natural number being the half of those in the next preceding 
 number, like as the logarithm of the last number is the half of the 
 preceding logarithm. Therefore any one such small number, with 
 
1 
 
 lo, f.'ivi-.. no. 
 
 I , its log. 
 
 3-162277 &c. 
 
 0-5 
 
 2 
 
 1-778279 
 
 0-25 
 
 3 
 
 1-333521 
 
 0-125 
 
 4. 
 
 1-154781 
 
 0-0625 
 
 5 
 
 1-074607 
 
 0-03125 
 
 
 &c. 
 
 &^c. 
 
 LOGARITHMS. 65 
 
 its logarithm, being once found by the continual extractions of 
 square roots out of a given number, as 10, and corresponding bisec- 
 tions of its given logarithm 1 ; the logarithm for any other such small 
 number, derived by like continual extractions from mother givea 
 number, whose logarithm is sought, will be found by o j single pro- 
 portion : which logarithm is then to be doubled according to the r um- 
 ber of extractions, or multiplied at once 
 by the like power of 2, for the loga- 
 rithm of the number proposed. To find 
 the first small number and its logarithm, 
 our author begins with the number 10 
 and its logarithm 1, and extracts con- 
 tinually the root of the last number 
 and bisects its logarithm^ as here re- 
 gistered in the margin, but to far more places of figures, till he arrives 
 at the 53d and 54th roots, with their annexed logarithms, as here 
 below: 
 
 Numbers. Logarithms. 
 
 M[l-00000,00O00,OOC0O,?5563,82986,4OO64,70l0-O00O0,0OO00,OO0OO,1110i;,23O24,6«5l5.654O4 
 54Jl-OOOOO,OOOOO,OOOOO,J2781,9l493,2OO32,35ioOOOOO,0OOOO,OOOOO,O5551,1151X,S1257,827O2 
 
 where the decimals in the natural numbers are to each other in the 
 ratio of the logarithms, namely, in the ratio of 2 to 1 : and therefore 
 any other such small number being found, by continual extraction or 
 otherwise, it will then be as 12781, &c, is to 5551 &c, so is that other 
 small decimal, to the corresponding significant figures of its loga- 
 rithm. But as every repetition of this proportion requires both a very 
 long multiplication and division, he reduces this constant ratio to 
 another equivalent ratio whose antecedent is 1, by which all the divi- 
 sions are saved : thus, 
 
 as 12781 &c : 5551 &c : : 1000 &c : 434294481903251801, 
 that is, the logarithm of 1-00000,00000,00000,1 
 is 0-00000,00000,00000,04342,9448 1 ,f )0325, 1 804; 
 and therefore this last number being multiplied by any such small de- 
 cimal, found as above by continual extraction, the pijoduct will be the 
 corresponding logarithm of such last root. 
 
 But as the extraction of so many roots is a very troublesome oper-. 
 ation, our author devises some ingenious contrivances to abridge that 
 labour. And first, in the 7th chapter, by the following device, to 
 have fewer and easier extractions to perform: namely, raising the 
 powers from any given prime number, whose logarithm is sought, 
 till a power of it be found such that its first figure on the left banc' is 
 1, and the next to it either one or more ciphers; then, having di- 
 vided this power by 1 with as many ciphers as it has figures aiier the 
 first, or supposing all after the first to be decimals, the continual roots 
 from this power are extracted till the decimal become sufficiently 
 small, as when the first fifteen places are ciphers; and then by multi- 
 plying the decimal by 43429 &c, he has the logarithm of this last 
 root 5 which logarithm multiplied by the like power of the number ^ 
 
 K 
 
6G 
 
 CONSTRUCTION OF 
 
 2 
 
 1 
 
 4 
 
 2 
 
 8 
 
 3 
 
 16 
 
 4 
 
 32 
 
 5 
 
 64 
 
 6 
 
 128 
 
 7 
 
 256 
 
 8 
 
 512 
 
 9 
 
 1024 
 
 10 
 
 gives the logaritlim of the first number from which the extract 
 tion was begun: to this logarithm prefixing a 1, or 2, or 3, &c, ac- 
 cording as this number was found by dividing the power of the given 
 prime number by 10, or 100, or 1000, &c; and lastly, dividing the 
 result by the index of that power, the quotient will be the required 
 logarithm of the given prime number, 'fhus, to find the 
 logarithm of 2: it is first raised to the 10th power, as in 
 the margin, before the first figures come to be 10 ; then, 
 dividing by 1000, or cutting off for decimals all the figures 
 after the first or 1, the root is continually extracted out of 
 the quotient 1,024, till the 47th extraction, which gives 
 1,00000,00000,00000,16851,60570,53949,77; the de- 
 cimal part of which multiplied by 4S429Scc, gives 
 0,00000,00000,00000,07318,55936,90623,9368 for its 
 logarithm ; and this being continually doubled for 47 times, 
 gives the logaritluns of all the roots up to the first 
 number : or being at once multiplied by the 
 47th power of 2, viz. 140737488355328, 
 which is raised as in the margin, it gives 
 0,01029,99566,3981 1,95265,27744 tor the 
 logarithm of the number 1,024, true to 17 or 
 18 decimals; to this prefix 3, so shall 3,0102 
 &c be the logarithm of 1024 : and lastly, be- 
 cause 2 is the tenth root of 1024, divide bv 
 10, so shall 0,30102,99956,63981 ,1952 be the 
 logarithm required to the given number 2. 
 
 The logarithms of 1, 2, and 10 being now 
 known; it is remarked that the logarithm 
 of 5 becomes known; for since 10—2 is 
 = 5, the refore log. 10 — log. 2 = log. 5, 
 which k 0,69897,00043,36018,8058; and that from the multi- 
 plications and divisions of these three, 2, 5, 10, with the correspond- 
 ing additions and subtractions of their logarithms, a multitude of 
 other numbers and their logarithms are produced; so, from the 
 powers of 2 are obtained 4, 8, i 6, 32, 64, &c ; from the powers of 5, 
 these, 25, 125, 625, 3125, &c; also the powers of 5 by those of 
 10 .give 250, 1250, 6250, &c; and the powers of 2 by those of 
 10, give 20, 200, 2000, &c ; 40, 400, 80, 800, &c ; likewise by 
 division are obtained 21, U, 12|, 6|, 1|, 3{, 6}, &c. 
 
 Briggs then observes, that the logarithm of 3, the next prime num- 
 ber, will be best derived from that of 6, in this manner : 6 raised to 
 the 9th power becomes 10077696, which divided by 10000000, gives 
 1,0077696, and the root from this continually extracted till the 46th, 
 is 1,00000,00000,00000,10998,59345,88155,71866; 
 the decimal part of which multiplied by 43429&C, gives 
 0,00000,00000,00000,04776,62844,78608,0304 for its logarithm; 
 and this 46 times doubled, or multiplied by the 46th power of 2, gives 
 0,00336,12534,52792,69 for the logarithm of 1,0077696: to which 
 adding 7, the logarithm of the divisor 10000000, and dividing by 9, 
 the index of the power of 6, there results 0,77815,12503,83643,63 
 
 2 
 
 1 
 
 4 
 
 2 
 
 8 
 
 3 
 
 16 
 
 4 
 
 32 
 
 5 
 
 64 
 
 6 
 
 128 
 
 7 
 
 256 
 
 8 
 
 512 
 
 9 
 
 1024 
 
 10 
 
 1048576 
 
 20 
 
 1073741824 
 
 30 
 
 10D95 11627776 
 
 40 
 
 140737488355328 
 
 47 
 
LOGARITHMS. 6? 
 
 for tlie logarhlim of 6; from which subtracting the logarithm of 2, 
 there remains 0,477 12, 12547, 1 96*62,44 for the logarithm of 3. 
 
 In the 8th chapter our ingenious author describes an original and 
 easy method of constructing, by means of differences, the continual 
 mean proportionals which were before found by the extraction of roots. 
 And this, with the other methods of generating logarithms by dif- 
 ferences, in this book as well as in his Tngonometria Britannica, are 
 I believe the first instances that are to be found of making such use of 
 differences, and show that he was the inventor of what may be called 
 the Differential Method. He seems to have discovered this method rn 
 the following manner: having observed that these continual means be- 
 tween 1 and any number proposed, found by the continual extraction 
 of roots, approach always nearer and nearer to the halves of each pre- 
 ceding root, as is visible when they are placed together under each 
 other; and indeed it is found that as many of the significant figures 
 of each decimal part, as there are ciphers between them and the in- 
 teger 1, agree with the half of those above them; I say, having ob- 
 ierved this evident approximation, he subtracted each of these decimal 
 parts, which he called A or the first differences, from half the next 
 preceding, one, and by comparing together the remainders or second 
 differences, called B, he found that the succeeding were alwa5^s 
 nearly equal to J of the next preceding ones; then taking the dif- 
 ference between each second difference and J of the preceding one, he 
 found that these third differences, called C, were nearly in the continual 
 ratio of 8 to 1 ; again taking the difference between each C and | of 
 the next preceding, he found that these fourth differences, called 
 D, were nearly in the continual ratio of 16 to 1 ; and so on, the 5th 
 (E), 6th (F), &c, differences, being nearly in the continual ratio of 
 .>3 to 1, of 64 to 1, &c. 
 
 K2 
 
68 
 
 CONSTRUCTION OF 
 
 These plain observations 
 being made, they very na- 
 turall} and clearly suggest- 
 ed to him the notion and 
 method of constructing 
 all the remaining numbers 
 from the diiferences of a 
 few of the first, found by 
 jcxti'acting the roots in the 
 usual way. This will evi- 
 dently appear from the 
 annexed specimen of a few 
 of the first numbers in the 
 last example for finding 
 the logarithm of 6 ; where, 
 after the 9th number the 
 re^t are supposed to be 
 constructed from the pre- 
 ceding differences of each, 
 as here shown in the 10th 
 and 11th. And it is evi- 
 dent, that in proceeding, 
 the t'-ouble will become 
 always less and less, the 
 differences gradually va- 
 nishing, till at last only 
 the first differences re- 
 main ; and that generally 
 each less difference is 
 shorter than the next 
 greater, by as many places 
 as there are ciphers at 
 the beginning of the de- 
 cimal in the number to be 
 generated from the dif- 
 ferences. 
 
 He then concludes this 
 chapter with an ingenious, 
 but not obvious, method 
 of finding the differences 
 B,C,D,E, &c. belonging 
 to any number, as suppose 
 the 9th, from that number 
 itself, independent of any 
 of the preceding 8th, 7th, 
 6th, .5th, &c, and it is this : 
 5th, &c powers; then will 
 ences, be as here below, viz. 
 
 
 1,00776,96 
 
 
 1 
 
 1,00387,72833,36962,45663,84655,1 
 
 
 2 
 
 1,00193,67661,36946,61675,87022,9 
 
 
 3 
 
 1,00096,79146,39099,01728,89072,0 
 
 
 4 
 
 1,00048,38402,68846,62985,49253,5 
 
 A 
 
 *T 
 
 l,0©024,18908,78824,68563,8O872,7 
 
 A 
 
 
 24,19201,34423,31492,74626,7 
 
 ^^ 
 
 
 292,55598.62928,93754,0 
 
 B 
 
 T 
 
 l,00012,09381,2t:397 513459,43(^19,4 
 
 A 
 
 
 12,09454,394 1 2,34281 ,90436,3 
 
 ^^ 
 
 
 73,13015,20822,46516,9 
 
 B 
 
 
 73,13899,65732,23438,5 
 
 i^ 
 
 
 884,44909,716921,5 
 
 C 
 
 7 
 
 1,00006,04672,35055,30968,01600,5 
 
 A 
 
 
 6,04690,63198,56729,71959,7 
 
 ^ 
 
 
 18,28143,25761,70359,2 
 
 B 
 
 
 ^ 18,28253,80205,61629,2 
 
 ^5 
 
 
 110,54443,91270,0 
 
 C 
 
 
 110,55613,72115,2 
 
 iC 
 
 
 1169,80845,2 
 
 D 
 
 "s 
 
 1,00003,0233 1,60505,657 7 5,9647 9,4 
 
 A 
 
 
 3,02336,1 7527,65484,00800,2 
 
 k^ 
 
 
 4,57021,99708,04320,8 
 
 B 
 
 
 4,57035,81440,42589,8 
 
 ^B 
 
 
 13,31732,38269,0 
 
 C 
 
 
 13,81805,48908,7 
 
 « 
 
 
 73,10639,7 
 
 
 73,11302,8 
 
 iP 
 
 ~ 
 
 663,1 
 
 E 
 
 
 1,00001,51164,65999,05672,95048,8 
 
 A 
 
 
 1,51165,80252,82887,98239,7 
 
 iA 
 
 
 1,14253,77215,03190,9 
 
 B 
 
 
 Hitherto the 1,14255,49927,01080,2 
 
 iB 
 
 
 smaller differences 1,72711,97889,3 
 
 C 
 
 
 are found by sub- 1,72716,54783,6 
 
 ^5 
 
 
 Oacting the larger from 4,56894,3 
 
 
 the parts of the like pre- 4,5691 5,0 
 
 ^^ 
 
 
 ceding ones 20,7 
 
 E 
 
 
 20,7 
 
 ^VE 
 
 Here the greater differences 65 
 
 iVE 
 
 
 remain after subtracting 28555,89 
 
 Sd 
 
 
 the smaller from the parts 28555,24 
 
 D 
 
 
 of the difference of 21588,99736,16 
 
 ic 
 
 
 the next preceding 21 588,7 1 1 80,92 
 
 'c 
 
 
 number. 28563,44303,75797,72 
 
 iB 
 
 
 28563,22715,04616,80 
 
 B 
 
 
 75582,32999,52836,47524,40 
 
 ^A 
 
 10 
 
 1,00000,75582,04436,30121,42907,60 
 
 A 
 
 
 2 
 1784,70 
 
 "S 
 
 
 1784,68 
 
 D 
 
 
 2698,58897,62 
 
 iC 
 
 
 2698,57112,94 
 
 c 
 
 
 7140,80678,76154,20 
 
 iB 
 
 
 7140,77980,19041,26 
 
 B 
 
 
 37791,02218,15060,71453,80 
 
 iA 
 
 11 
 
 1,00000,37790,95077,37080,52412,54 
 
 A 
 
 raise the decimal. A to the 2d, 3d, 4th, 
 the 2d (B), 3d (C), 4th (D), he differ- 
 

 
 
 
 LOGARITHMS. 
 
 69 
 
 
 =iA^ 
 = ■ i 
 
 A'+- 
 
 ^A^ 
 
 
 
 
 
 
 
 
 . iA^4-|A^+ 
 
 /3A^+ 
 
 fA74- 
 
 
 
 
 zz: , 
 
 
 2fA 
 
 ^+ 
 
 TA-^-f 
 
 10|iA^ + 
 
 12t\\A«4- lUi A^+ 
 
 74lfA' 
 
 
 
 y 
 
 = . 
 
 
 
 13 
 
 r^^A« + 
 
 81|A + 
 
 296,VrA'+ 834/^^8A^+ 
 
 1953mA' 
 
 "&c. 
 
 = . 
 
 
 
 
 122t^A7+1 
 
 510AVA^-f-11475^^A'+ 
 
 68372^|^A' 
 
 '•Stc. 
 
 = . . 
 
 
 
 
 . 
 
 193Tt^^A^+47151^\V\''+ 
 
 706845i:J||A' 
 
 °&c 
 
 = . . 
 
 
 
 
 . 
 
 
 54902tV?A9+ 2558465f-||||A» 
 
 °&c 
 
 = . 
 
 
 
 
 . 
 
 . 
 
 , 
 
 2805527A' 
 
 ^&c 
 
 Thus in tlie 9tli number of the foregoing example, omitting the 
 ciphers at the beginning of the decimals, we have 
 
 A = 1,51164,65999,05672,95048,8 
 
 A'^= - 2,28507,54430,06381,6726 
 
 A'= - - - 3,45422,65239,48546,2 
 
 A*= 5,22156,97^02,288 
 
 A^=: 7>893 16,8205 
 
 A^= 11,93168,1 
 
 &c. 
 
 Consequently, 
 
 §A* = 1,14253,77215,03190,8363 =B 
 
 |A^ - 1,72711,32619,74273 
 |A+- - - 65269,62225 
 
 |A'+iA* 1,72711,97889,36498 =C 
 
 fA* 4,56887,35577 
 
 tA5 - - 6,90652 
 
 T^^A^ 5 
 
 fA*+|A^+T'^A^ 4,56894,26234 =D 
 
 2fA' - - 20,71957 
 
 TA*^ - - - > 83 
 
 2f A5+7A® - . - - ^20,72040 =E 
 
 which agree with the like differences in the foregoing specimen. 
 
 In the 9th chapter, after observing that from the Ipgarithms of 
 1, 2, 3, 5, and 10, before found, are to be determined, by addition 
 and subtraction, the logarithms of all other numbers which can be 
 produced from these by multiplication and division ; for finding the 
 logarithms of other prime numbers, instead of that in the seventh 
 chapter, our autlior then shows another ingenious method of ob- 
 taining numbers beginning with 1 and ciphers, and such as to bear 
 a certain relation to some prime number by means of which its lo-' 
 garithm may be found. The method is this: Find three products 
 having the common difference 1, and such that two of them are pro- 
 duced from factors having given logarithms, and the third produced 
 
iO CONSTRUCTION OF 
 
 from the prime number, whose logarithm is required, either multi- 
 ph'ed by itself, or by some other number whose logarithm is given : 
 then the greatest and least of these three products being multiplied to- 
 gether, and the mean by itself, there arise two other products also dif- 
 fering by 1, of which the greater, divided by the less, gives for a quo- 
 tient 1, with a small decimal, having several ciphers at the beginning. 
 Then the logarithm of this quotient being found as before, from 
 thence will be deduced the required logarithm of the given prime 
 number. Thus if it be proposed to find the logarithm of the prime 
 number 7 ; here 6 x 8 rr 48, 7 X 7 = 49, and 5 x 10 r: .50, will be 
 the three products, of which the logarithms of 48 and 50, the 1st 
 and 3d, will be given from those of their factors G, 8, o, 10 : also 
 48x^^0 = 2400, and 49x49 = 2401, are the two new products, 
 and 2401 -f- 2400=1,000411 their quotient: then the least of 44 
 means between 1 and this quotient is 
 
 1,00000,00000,00000,02307,98249,04333,6405, which multiplied by 
 43429 &c, produces 0,00000,00000,00000,01028,40172,88387,297 15, 
 for its logarithm ; which being 44 times doubled, or multiplied by 
 17592186044416, produces 0,00018,09183,45421,30 for the loga- 
 rithm of the quotient 1,0004 If ; which being added to the logarithm 
 of the divisor 2400, gives the logarithm of the dividend 2401 ; then 
 the half of this logarithm is the logarithm of 49 the root of 2401, 
 and the half of this again gives 0,84509,80400,14256, 82 for the lo- 
 garithm of 7, which is the root of 49. ^The author adds another 
 
 example to illustrate this method; and then sets down the requisite 
 factors, products, and quotients for finding the logarithms of all other 
 prime numbers up to 100. 
 
 The 1 0th chapter is employed in teaching how to find the loga- 
 rithms of fractions, namely by subtracting the logarithm of the de- 
 nominator from that of the numerator, then tlie logarithm of the 
 fraction is the remainder : which therefore is either abundant or de- 
 fective, that is positive or negative, as the fraction is greater or less 
 than 1. 
 
 In the 11th chapter is shown an ingenious contrivance for very ac- 
 curately finding intermediate numbers to given logarithms, by the 
 proportional parts. On this occasion, it is remarked, that while the 
 absolute numbers increase uniformly, the logaritlims increase unequally, 
 with a decreasing increment; for which reason it happens, that either 
 logarithms or numbers corrected by means of the proportional parts, 
 will not be quite accurate, the logarithms so found being always too 
 small, and the absolute numbers so found too great ; but yet so how- 
 ever as that they approach much ndarer to accuracy towards the 
 end of the table, where the increments or differences become much 
 nearer to equality, than in the former parts of the table. And from 
 this property our author, ever fmitful in happy expedients to obviate 
 natural difficulties, contrives a device to throw the proportional part, 
 to be found from the numbers and logarithms, always near the end of 
 the table in whatever part they may happen naturally to fall. And 
 it is this : Rejecting the characteristic of any given logarithm, whose 
 
LOGARITHMS. 71 
 
 number is proposed to be found, take the arithmetical complement of 
 the decimal part, by subtracting it from 1,000 &c, the logarithm of 
 10; then find in the table the logarithm next less than this arith- 
 metical complement, together with its absolute number ; to this ta- 
 bular logarithm add the logarithm fliat was given, and the sum will 
 be a logarithm necessarily falling among those near the end of the 
 table : find then its absolute number, corrected by means of the pro- 
 portional part, which will not be very inaccurate, as falling near the 
 end of the table: this being divided by the absolute number, before 
 found for the logarithm next less than the arithmetical complement, 
 the quotient will be the required number answering to the given lo- 
 garithm ; which will be much more correct than if it had been found 
 from the proportional part of the difference where it naturally hap- 
 pened to fall : and the reason of this operation is evident from the 
 nature of logarithms. But as this divisor, when taken as the num- 
 ber answering to the logarithm next less than the arithmetical com- 
 plement, may happen to be a large prime number; it is further re- 
 marked, that instead of this number and its logarithm, w^e may use 
 the next less composite num.ber which has small factors, and its lo- 
 garithm 3 because the division by those small factors, instead of by the 
 number itself, will be performed by the short and easy way of divi- 
 sion in one line. And for tlie more easy finding proper composite 
 numbers and their factors, our author here subjoins an abacus or list 
 of all such numbers, with their logarithms and component factors, 
 from 1000 to 10000; from which the proper logarithms and factors 
 are immediately obtained by inspection. Thus, for example, to find 
 the root of 10800, or the mean proportional between 1 and 10800 : 
 The logarithm of 10800 is 4,03342,37554,8695, the half of which 
 is 2,01671,18777, 4347 the logarithm of the number sought, the arith- 
 metical complement of which logarithm is 0,983£8,8 1222,5653 ; now 
 the nearest logarithm to this in the abacus is 0,98227,12330,3957, 
 and its annexed number is 9600, the factors of which are 2, 6, 8 ; 
 to this last logarithm adding the logarithm of the number sought, the 
 sum is 0,99898,31107,8304, whose absolute number, corrected by 
 the proportional part, is 99766,12651,6521, which being divided 
 continually by 2, 6, 8, the factors of 96, the last quotient is 
 103,92304845471; which is pretty correct, the true number being 
 103,923048454133 = ^^ 10800. 
 
 We now arrive at the 12th and 13th chapters, in which our inge- 
 nious author first of all teaches the rules of the Differential Method, 
 in constructing logarithms by interpolation from differences. This 
 is the same method which has since been more largely treated of by 
 J&ter^authors, and particularly by the ingenious Mr. Cotes, in his 
 ^anont^chnia. How Mr. Briggs came by it does not well appear, as 
 he only delivers the rutes, without laying down the principles or in- 
 vestigation of them. He divides the method into two cases, namely 
 when the second differences are equal or nearly equal, and when the 
 differences run out to any length whatever. The former of these is 
 treated in the 12th chapter; and he particularly adapts it to the in* 
 
CONSTRUCTION OF 
 
 1 
 
 2 
 3 
 4 
 5 
 
 
 6 
 7 
 8 
 9 
 10 
 
 25 1^ 
 
 35 II 
 45 « =^ 
 
 terpolating 9 equidistant means between two given terms, evidently 
 for this reason, that then the powers of 10 become the principal mul- 
 tipliers or divisors, and so the operations performed mentally. The 
 substance of his process is this : Having given two absolute numbers 
 with their logarithms, to find the logarithms of 9 arithmetical means 
 betv/een the given numbers: Between the given logarithms take the 
 1st difference, as well as between each of them 
 and their next or equidistant greater and less lo- 
 garithms : and likewise the second differences, or 
 the two differences of these three first differences; 
 then if these second differences he equal, multiply 
 one of them severally by the numbers 45, 35, 
 &c, as in the annexed tablet, dividing each pro- 
 duct by 1000, that is cutting off three figures 
 from each; lastly, to -^q of the 1st difference 
 of the given logarithms add severally the first 
 five quotients, and subtract the other five, so 
 shall the ten results be the respective first differences to be continually 
 added to compose the required series of logarithms. Now this 
 amounts to the same thing as what is at this day taught In the like 
 case : It is known that if A be any term of an equidistant series of terms, 
 and a, h, c, &c, the first of the 1st, 2d, 3d, &c, order of differences; 
 then the term z, whose distance from A is expressed by x, will be 
 
 3C "~" 1 X ■■•■ 1 SO "~ ^ 
 
 thus, z^iA-^xa-^x. b-^-x. . ^c+ &c. And if now, 
 
 2 2 3 
 
 with our author, we make the 2d differences equal, then c, d, e, &c, 
 
 will all vanish, or be equal to 0, and z will become barely 
 
 07—1 
 
 zzA -t-xa + x. b. 
 
 2 
 Therefore if we take x 
 successively equal to 
 r-5,j^,-rs,r% &c, we shall 
 hare the annexed series 
 of terms with their dif- 
 ferences. Where it is to be 
 observed, that our author 
 had reduced the differ- 
 ences from the 1st to the 
 2d form, as he thought 
 it easier to multiply by 5 
 
 OJ— 1 
 
 than to divide by 2. Also all the last terms (x.' b) are set down po- 
 sitive, because in the logarithms h is negative.— If the two 2d differ- 
 ences be only nearly equal, take an arithmetical mean between them, 
 and proceed with it the same as above with one of the equal 2d dif- 
 ferences. — He also shows how to find any one single term, independ- 
 ent of the rest ; and concludes the chapter with pointing out a method 
 of finding the proportional part more accurately thau before, ^ 
 
 Series of terms. 
 A 
 
 ^+tV^+^Vo^ 
 A-{- a 
 
 The differences. 
 T\ci'^,,l^b^-/^a-\-^%l^b 
 
 TV+T4u^=Toa+TB\j^^ 
 
 -nso, - ^^^b =,%« - T oW^ 
 
LOGARITHMS. 73 
 
 ' In the 13th chapter our author remarks, that the best way of filling 
 up the intermediate chiliads of his table, namely, from 20000 to 90000> 
 is by quinquisection, or interposing four equidistant means between 
 two given terms 5 tlie method of performing which he thus particu- 
 larly describes. Of the given terms, or logarithms, and two or three 
 others on each side of them, take the 1 st, 2d, 3d, &c, differences, 
 till the last differences come out equal, which suppose to be the 5tli 
 differences : divide the first differences by 5, the 2d by 25, the 3d by 
 125, the 4th by 625, and the 5th by 312.5, and call the respective 
 quotients the 1st, 2d, 3d, 4th, 5th mean differences; or, instead of 
 dividing by these powers of .5, multiply by their reciprocals ^5, t^-^, 
 T^^co, Tsifoo, ToEl^c,; that is, multiply by 2, 4, 8, 16, 32, cutting 
 off respectively one, two, three, four, five figures from the end of the 
 products, for the several mean differences : then the 4th and 5th of 
 tJiese mean differences are sufficiently accurate; but the 1st, 2d, and 
 3d are to be corrected in tliis manner; from the mean third differ- 
 ences subtract three times the 5th difference, and the remainders are 
 the correct 3d differences; from the mean 2d differences subtract double 
 the 4th differences, and the remainders are the correct 2d differences; 
 lastly, from the mean 1st differences take the correct 3d differences, 
 and ^ of the 5tk difference, and the remainders will be the correct 
 first differences. Such are the corrections when the differences extend 
 as far as the 5th. However, in completing those chiliads in this 
 way, there will be only 3 orders of differences, as neither the 4th nor 
 5tli will enter the calculation, but will vanish through their smallness : 
 therefore the mean 2d and 3d differences will need no correction, and 
 the mean first differences will be corrected by barely subtracting the 
 3d from them. These preparatory numbers being thus found, all the 
 2d differences of the logarithms required, will be generated by adding 
 continually, from the less to the greater, the constant 3d difference ; 
 and the series of 1st differences will be found by adding the several- 2d 
 differences; and lastly, by adding continually these 1st differences to 
 the 1st given logarithm &c, the required logarithm ic terms are gene^" 
 rated. 
 
 These easy rules being laid down, Mr. Briggs next teaches how by 
 them the remaining chiliads may best be completed : namely, having 
 here the logarithm for ail numbers up to 20000, find the logaritlmi to 
 every 5 beyond this, or of 20005, 20010, 20015, &.c, in this manner; 
 to the logarithms of the 5th part of each of these, namely 4001, 4002, 
 4003, &c, add the constant logarithm of 5, and the sums will be the 
 logarithms of all the terms of the series 20005, 20010, 20015, &c: 
 and these logarithms will have the very same differences as those of 
 the series 4001, 4002, 4003, &c; by means of which therefore in*- 
 terpose 4 equidistant terms by the rules above ; and thus the whole 
 canon will be easily completed. 
 
 Briggs here extends the rules for correcting the mean differences [n 
 quinquisection, as far as the 20th difference ; he also lays down similar 
 rules for trisection, and speaks of general rules for any other section, 
 but omitted as being less easy. So that he appears to have been po^ 
 
74 CONSTRUCTION OF 
 
 sessed of all that Cotes afterwards delivered in his Canonotechnia swe 
 Constructio Tabidarum per Differentias, drawn from the Differential 
 Method, as their general niles exactly agree, Briggs's mean and cor- 
 rect differences being by Cotes called round and quadrat differences^ 
 because he expresses them by the. numbers 1, Q, 3, &c, written re- 
 spectively within a small cii-cle and square. 
 
 Briggs also observes, that the same rules equally apply to the con- 
 struction of equidistant terms of any other kind, such as sines, tan- 
 gents, secants, the powers of numbers, &c : and further remarks, that 
 of the sines of three equidistant arcs, all the remote differences may 
 be found by the rule of proportion, because the sines and their 2d, 
 4th, 6th, 8th, &c differences, are continued proportionals, as are 
 also the 1st, 3d, 5th, 7th, &c differences, among themselves; and, like 
 as the 2d, 4th, 6th^ &c differences are proportional to the sines of the 
 mean arcs, so also are the 1st, 3d, 5th, &c differences proportional to 
 the cosines of the same arcs. Moreover, v/ith regard to the powers of 
 numbers, he remarks the following curious properties ; 1st, that they 
 will each have as many orders of differences as are denoted by the 
 index of the power, the squares having two orders of differences, the 
 cubes three, the 4th powers four, &c; 2d5 that the last differences 
 will be all equal, and each equal to the common difference of the sides 
 or roots raised to the given power and multiplied by 1 x 2 X 3 x 4, &c, 
 continued to as mapy terms as there are units in the index : so if the 
 roots differ by 1, the second differences of the squares will be each 
 1x2 or 2, the 3d differences of the cubes each 1 x2x3 or 6, the 
 4th differences of the 4th powej-s each 1 x 2 x 3 x 4 or 24, and so on ; 
 and if the common difference of the roots be any other number n, then 
 the last differences of the squares, cubes, 4th powers, 5th powers, &c, 
 will be respectively 2?i*, 6n\ 24?i*, I20n^, &c. 
 
 Besides what was shown in the 11th chapter, concerning the 
 taking out the logarithms of large numbers l)y means of proportional 
 parts, Briggs employs the next or 14th chapter in teaching how, from 
 the first ten chiliads only, and a small table of one page, here given, 
 to find the number answering to any logarithm, and the logaritlmi to 
 any number, consisting of fourteen places of figures*. 
 
 Having thus fully shown the construction and chief properties of 
 his logarithms, our ingenious author, in the remaining eighteen 
 chapters, exemplifies their uses in many curious and important 
 subjects; such as the Rule-of-Three, or rule of proportion ; finding 
 the roots of given numbers; finding any number of mean propor- 
 tionals between two given terms ; with other arithmetical rules ; also 
 various geometrical subjects, as 1st, Having given the sides of any 
 pl^ne-triangle, to find the area, perpendicular, angles, and diameters 
 of the inscribed and circumscribed circles ; 2d, In a right-angled 
 triangle, having given any two of tliese, to find the rest, viz. one leg 
 
 * It is no more than a large exemplification of this nipthod of Briggs'a that has been pvintcd 
 •so late as 1771, in a 4to ttact by Mr. Robert Flower, urdsr th« title of"^ TTie Radix, A UncWcAi 
 i^makiTig Lr^j^arithms, ThoujC^h Bri<»;gs's work might not be kiio^n to thi« writer. 
 
LOGARITHMS. 75 
 
 and the hypotenuse, one ]eg and the sum or difference of the hypo- 
 tenuse and the other leg, the two legs, one leg and the area, the area 
 and the sum or difference of the legs, the hypotenuse and sum or 
 difference of the legs, the hypotenuse and area, and the perimeter 
 and area; 3d, Upon a given base to describe a triangle equal and 
 isoperimetrical to another triangle given; 4th, To describe the cir- 
 cumference of a circle so, that the three distances from any point in 
 it to the three angles of a given plane triangle, shall be to one another 
 in a given ratio; oth. Having given the base, the area, and the 
 ratio of the two sides, of a plane triangle, to find the sides; 6th, 
 Given the base, difference of the sides, and area of a triangle, to find 
 the sides; 7th, To find a triangle whose area and perimeter shall be 
 expressed by the same number ; 8th, Of four given lines, of which 
 the sum of any three is greater than the fourth, to form a quadrila- 
 teral figure about which a circle may be described ; Oth, Of the dia- 
 meter, circumference^ and area of a circle, and the surface and so- 
 lidity of the sphere generated by it, having any one given, to find any 
 of the rest; lOth, Concerning the ellipse, spheroid, and gauging; 
 ] 1th, To cut a line or a number in extreme and mean ratio; I'ith, 
 Given the diameter of a circle, to find the sides and areas of the in- 
 scribed and circumscribed regular figures of 3, 4, 5, 6, 8, 10, 12, and 
 16 sides; 13th, Concerning the regular figures of 7? -^j 15, 24, and 
 30 sides; 14th, Of isoperimetrical regular figures; 15th, Of equal re- 
 gular figures; and 16tb, Of the sphere and the five regular bodies; 
 which closes this introduction. wSuch of these problems as can admit 
 of it, are determined by elegant geometrical constructions, and they 
 are all illustrated by accurate arithmetical calculations, performed by 
 logarithms; for the exemplification of which they are purposely given. 
 At the end he remarks, that the chief and most necessary use of 
 logarithms, is in the doctrine of spherical trigonometry, which he 
 here promises to give in a future v/ork, and which was accomplisJied 
 in his Trigonometria Britannica, to the description of which we now 
 proceed. 
 
 0/BRIGGS'S Trigonometria Britannica. 
 
 At the close of the account of writings on the natural sines, tan- 
 gents, and secants, we omitted the description of this work of our 
 learned author, though it is perhaps the greatest of this kind, all 
 things considered, that ever was executed by one person ; purposely 
 resemng my account of it to this place, not only as it is connected 
 with the invention and construction of logarithms, but thinking it 
 deserved more peculiar and distinguished notice, on account of the 
 importance and originality of its contents. The division of the qua- 
 drant, and the mode of construction, are both new; and the numbers 
 are far more accurate, and are extended to more places, than they had 
 ever been before. The circular arcs had alwaj^s been divided in a 
 sexagei^mal proportion; but here the quadrant is divided into degrees 
 
 L2 
 
7« CONSTRUCTION OF 
 
 and decimals, as this is a much easier mode of computation than by 
 60ths; the division being completed only to lOOths of degrees, though 
 his design was to have extended it to lOOOths of degrees. And, be- 
 sides his own private opinion, he was induced*to adopt this method of 
 decimal divisions, partly at the request of other persons, and partly 
 perhaps from the authority of Vieta, pa. 29 Calendarii GregwianL 
 And it is probable that computations by this decimal division would 
 have come into general use, had it not been for the publication of 
 Vlacq's tables, which vvere extended to every 10 seconds, or 6th parts 
 of minutes. But besides this method by a decimal division of the 
 degrees, of which the whole circle contains 360, or the quadrant 90, 
 in the 1 4th chapter he remarks, that some other persons were inclined 
 rather to adopt a complete decimal division of the whole circle, first 
 into 100 parts, and each of these into 1000 parts; and tor their sakes 
 he subjoins a small table of tlie sines of every 40th part of the qua- 
 drant, and remarks, that from these few the whole may be made out 
 by continual quinquisections ; namely, 5 times these 40 make 1200, 
 then 5 times these give 1000, thirdly, 5 times these give 5000, and 
 lastly, 5 times these give 25000 for the whole quadrant, or 100000 for 
 the whole circumference. 
 
 But to return. Our author's large table consists of natural sines to 
 1 5 places, natural tangents and secants each to 1 places, logarithmic 
 sines to J4 places, and logarithmic tangents to 10 places, each besides 
 the characteristic. A most stupendous performance ! The table is 
 preceded by an introduction, divided into two ]}ooks, the one contain 
 ing an account of the truly ingenious constniction of the table, by 
 the author himself; and the other, its uses in trigonometry, &c, by 
 ^lenry Gelli})rand, professor of astronomy in Gresham College, who 
 remarks in the preface, that the work was composed by the author 
 about the year 1600 ; though it was only published by the direction of 
 Gellibrand in 1633, it having been printed at Gouda under tbe care of 
 Vlacq, and by the printer of his Tngonometria Artificialis, which 
 came out the same year. 
 
 After briefly mentioning the common methods of dividing the 
 quadrant^ and constructing the tables of sines, &c, from the ancients 
 down to his own time, he hastens to the description of his own pe- 
 culiar and truly ingenious method, which is briedy this : having firet 
 divided the quadrant into a small number of parts, as 72, he finds the 
 sine of one of tiwse parts, then from it the sines of the double, triple, 
 quadmple, &c, up to the quadrant or 72 parts. He next quinquisects 
 each of these parts ; by interposing four equidistant means, by differ- 
 ences ; he then quinquisects each of these ; and finally, each of these 
 again; which completes the division as far as degrees and centesms. 
 The rules for performing all these things he investigates and illus- 
 trates in a very ample manner. In treating of multiple and submul- 
 tiple arcs, he gives general algebraical expressions for the sine or 
 chord of any multiple whatever of a given arc, wliich he deduced 
 from a geometrical figure, by finding the law for the series of succes- 
 sive multiple chords or sines, after the manner of Vieta, who was the 
 
LOGARITHMS. 77 
 
 fir^t person that I know of, who laid down general rules for the 
 chords of multiples and submultiples of arcs and angles : and the same 
 was afterwards improved by Sir 1. Newton, to such form, that radius, 
 and double the cosine of the first given angle, are the first and second 
 terms of all the proportions for finding the sines and cosines of the 
 multiple angles. For assigning the coefficients of the terms in the 
 multiple expressions, our author here delivers the construction of 
 figufate or polygonal numbers, inserts a large ta})le of them, and 
 teaches their several uses ; one of which is, that every other number, 
 taken in the diagonal lines, furnishes the coefficients of the terms of 
 the general equation by which the sines and chords of multiple arcs 
 are expressed, which he amply illustrates ; and another, that the same 
 diagonal numbers constitute the coefficients of the terms of any 
 power of a binomial ; which property was also mentioned by Vieta in 
 his Angulares Sectiones, theor. 6, f ; and before him, pretty fully 
 treated of by Stifelius, in his Arithmetica Integra, fol. 44 & seq.; 
 where he inserts and makes the like use of such a table of figurate 
 numbers, in extracting the roots of all powei-s whatever. But it was 
 perhaps known nmch earlier, as appears by the treatise on figurate 
 numbers by Nichomachus, (see Malcolm's History, p. xviii). Though 
 indeed Cardan seems to ascribe this discovery to Stifelius. See his 
 Opus Novum de Proportionibus Numerorum, where he quotes it, 
 and extracts the table and its use from Stifel's book. Cardan, in p. 135, 
 &c, of the same work, makes use of a like table to find the number 
 of variations, or conjugations as he calls them. Stevinus too makes 
 use of the same coefficients and method of roots as Stifelius. See 
 his Arith. page 25. And even Lucas de Burgo extracts the cube 
 root by the same coefficient^;, about the year 1470. But he does not go 
 to any higher roots. And this is the first mention I have seen made 
 of this law of the coefficients of tlie powers of a binomial, commonly 
 called Sir I. Newton's binomial theorem, though it is very evident that 
 Sir Isaac was not the first inventor of it : the part of it properly 
 belonging to him seems to be only the extending it to fractional 
 indices, which was indeed an immediate effect of the general method 
 of denoting all roots like powers with fractional exponents, the theorem 
 being not at all altered. However, it appears that our author Briggs 
 was the first who taught the rule for generating the coefficients of the 
 terms successively one from another, of any power of a binomial, in- 
 dependent of those of any other power. For having shown, in his Abcicus 
 TlxyXpr^s-os (which he so calls on account of its frequent and excellent 
 use, and of which a small specimen is here annexed), that the numbers 
 
CONSTRUCTION OF 
 
 Abacus nArXPHSTOS. | 
 
 H 
 
 G 
 
 F 
 
 E 
 
 D 
 
 C 
 
 B 
 
 A 
 
 -® 
 
 -® 
 
 + ® 
 
 + © 
 
 -© 
 
 -® 
 
 +(D 
 
 ® 
 
 J 
 
 1 
 
 1 
 
 I 
 
 1 
 
 I 
 
 1 
 
 1 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 
 4 
 
 3 
 
 2 
 
 
 36 
 
 28 
 
 21 
 
 15 
 
 10 
 
 6 
 
 3 
 
 
 
 84 
 
 56 
 
 35 
 
 20 
 
 10 
 
 4 
 
 
 
 126 
 
 70 
 
 35 
 
 15 
 
 5 
 
 
 
 125 
 
 56 
 
 21 
 
 6 
 
 
 
 84 
 
 28 
 
 7 
 
 
 
 36 
 
 8 
 
 
 
 
 
 
 
 
 9 
 
 in the diagonal directions, ascending from right to left, are the coeffi- 
 cients of the powers of binomials, the indices being the figures in the 
 first perpendicular column A, which are also the coefficients of the 2d 
 terms of each power (those of the first terms, being 1, are here omit- 
 ted) 5 and that any one of these diagonal numbers is in proportion to 
 the next higher in the diagonal, as the vertical of the former is to the 
 marginal of the latter, that is, as the uppermost number in tlie column 
 of the former is to the first or right-hand number in the line of 
 the latter; having shown these things, he thereby teaches the genera- 
 tion of the coefficients of any powder, independently of all other 
 powers, by the very same law or rule which we now use in the binoi: 
 mial theorem. Thus, for the 9th power; 9 being the coefficient of 
 the 2d term, and 1 always that of the 1st, to find the 3d coefficient 
 we have 2 : a : : 9 : 36 ; for the 4tli term, 8:7 : : 36 I 84 ; for the 5th 
 term, 4 I G : : 84 1 126 ; and so on for the rest, lliat is to say, the co- 
 efficients of the terms in any power m, are inversely as the vertical 
 numbers or first line 1, 2, 3, 4,....m, and directly as the ascending 
 numbers w, m — 1, m — 2, m — 3,....l, in the first column A; and that 
 consequently those coefficients are found by the continual multiplication 
 
 - , r . m m— 1 m— 2 m — 3 1 i . i • ^i 
 
 01 these fractions — , , , , — , which is the very 
 
 I ' 2 ' 3 ' 4 ' m' ^ 
 
 theorem as it stands at this day, and as applied by Newton to roots 
 
 or fractional exponents, as it had before been used for integral powers. 
 
 I iTiiis theorem then being thus plainly taught Ijy Briggs about the 
 
 hear 1600, it is surprising how a man of such general reading as Dr, 
 
 * (Wallis was, could be quite ignorant of it, as he plainly appears to 
 be by the 86th chapter of his algebra, where he*^fully ascribes the in- 
 
 yeption to Newton, and adds, that he himself had formerly sought 
 
 for such a rule, but without success : Or how Mr. John Bernouilli, 
 not half a century since, could himself first dispute the invention of 
 this theorem with Newton, and then give the discovery of it to Pascal, 
 
LOGARITHMS. 
 
 7D 
 
 who was not born till long after it had been taught by Briggs. See 
 Bernoiiilli's Works, vol. 4. pa. 173. But I do not wonder that Briggs's 
 remark was unknown to Newton, who owed almost every thing to 
 genius and deep meditation, but very little to reading: and I have 
 no doubt that he made the discovery himself, without any light from 
 Briggs, and that he thought it was new for all powers in general, as 
 it was indeed for roots and quantities with fractional and irrational 
 exponents. 
 
 When the above table of the sums of figurate numbers is used 
 by our author in determining the coefficients of the terms of the 
 equation, whose root is the chord of any submultiple of an arc, as 
 when the section is expressed by any uneven number, he remarks, that 
 the powers of that chord or root will be the 1st, 3d, 5th, 7th, &c,' 
 'in the alternate uneven columns, A, C, E, G, &c, with their signs 
 + or — as marked to the powers, continued till the highest power 
 be equal to the index of the section; and that the coefficients of 
 those powers are the sums of two continuous numbers in the same 
 column with the powers, beginning with 1 at the highest power, 
 and gradually descending one line obliquely to the right at each 
 lower power: so, for a trisection, the numbers are 1 in C, and 1+2 
 = 3 in A ;^ and therefore the terms are— 1(3) + 3 (T) : for a quinqui- 
 section, the numbers are 1 in E, 1+4=5 in C, 2 + 3=5 in A; 
 £0 that the terms are 1 (5) —5(5) + -5 Q) : for a septisection, the num- 
 bers are 1 in G, 1+6^:7 in E, 4+10 = 14 in C, and 3 + 4= 
 7 in A: and so the terms are-.l@ + 7(D-14(D +7(l) : and so 
 on, the sum of all these terms being always equal to the chord of the 
 whole or multiple arc. But when the section is denominated by an 
 even number, the squares of the chords enter the equation, instead of 
 the first powers as before, and the dimensions of all the powers are 
 doubled, rhe coefficients being foimd as before, and therefore the 
 powers and numbers will be those in the 2d, 4th, 6th, &c, columns : 
 and the uneven sections may also be expressed the same way : hence, 
 for a bisection the terms will be — 1(5) +4(1): for a trisection 
 ^®""^© +^®= forthequadrisection-.l(D + S(D-20@^16^. 
 for the quinquisection 1 @ — 10(D + 35(5) — 50 + 25(g) : and so on. 
 
 Our author subjoins 
 another table, a small 
 specimen of which is 
 here annexed, in which 
 the first column consists 
 of the uneven numbers 
 1, 3, 5, &c, the rest 
 being found by addition 
 as before, and the alter- 
 nate diagonal numbers themselves are the coefficients. 
 
 F 
 
 4-® 
 1 
 
 + ® 
 
 1 
 
 D 
 
 -0 
 
 1 
 
 C 
 
 1 
 
 B 
 
 + @ 
 
 1 
 
 A 
 
 ® 
 
 1 
 
 
 7 
 
 6 
 
 20 
 
 5 
 
 U 
 30 
 
 4 
 25 
 
 3 
 5 
 7 
 9 
 
80 
 
 CONSTRUCTION OF 
 
 The method is quite different from 
 that of Vieta, who gives another table 
 for the like purpose, a small part of 
 which is here annexed, which is for- 
 med by adding, from the number 2, 
 downwards obliquely towards the right: 
 and the coefficients of the terms stand 
 on the horizontal line. 
 
 l8t 
 
 Vieta's Talle. 
 
 2d 
 2 
 5 
 
 9 
 14 
 20 
 27 
 35 
 
 3d 
 2 
 7 
 16 
 
 30 
 60 
 
 4 th 
 2 
 
 9 
 
 26 
 
 5 th 
 2 
 
 6th 
 
 These angular sections were afterwards further discussed by Oughtred 
 and WalUs. And the same theorems of Vieta and Briggs have been 
 since given in a different form by Herman and the Bernouillis, in 
 the Leipsic Ads, and the Memoirs of the Royal Academy of Svieiices. 
 These theorems they expressed by the alternate terms of tlie power of 
 a binomial, whose exponent is that of the multiple angle or section. 
 And De Lagny in the same Memoirs, first showed, that the tangents 
 and secants of multiple angles are also expressed by the terms of a 
 binomial, in the form of a fraction, of which some of those terms 
 form the numerator, and others the denominator. Thus, if. r express 
 the radius, s the sine, c the cosine, f the tangent, and s the secant, of 
 the angle A; then the sine, cosine, tangent, and secant of n times 
 the angle, are expressed thus, viz. 
 
 ^ , 1 n n—l n.n—\.7i—-z n — 3 
 
 Sm.n^= X: c s— • -c s^- 
 
 n—l 1 1.2.3 
 
 n.n — i.TO— 2.n — Q.n — 4 ?i— 5 
 
 -c s^ &c- 
 
 1. 2.3. 4. 5 
 
 Cosine n J= ■ 
 
 ■X'c'- 
 
 1.2 
 
 , W.M— l.??.--2.K—3cW— 4 ^ _ 
 ■j ^ s* Sec. 
 
 1. 2.3.4 
 
 Tang.n^=:r X 
 
 n n — 1 n.?i — l.n — 2 n — 3 , ^?.7Z — 1. 71 — 2.— -n— O.n — 4 n — 5 , „ 
 — r t r <'-j r V" &c, 
 
 1 1. 2. 3. ' 1. 2. 3. 4. 5 
 
 n.n — 1 w— 2 , , n.7i — 1. 71 — 2.n — 3 n — 4 , „ 
 
 1. 2. 
 
 1. 2. 3.4. 
 
 Sec. n A::=zT X 
 
 $2 or r2-f-i2 
 
 n.n — 1 n — 2^, , n.n — l.n— 2.7»— 3 n — 4 , „ 
 T t^-\ r t^Si.c. 
 
 TO • 1 n c A 
 
 where it is evident, that the series in the sine of n A, consists of the 
 even terms of the power of the binomial (c 5)", and the series in the 
 cosine of the uneven terms of the same power ; also the series in the 
 numerator of the tangent, consists of the even terms of the powa: 
 (r+Q«, and the denominator, both of the tangent and secant, consists 
 of the uneven terms of the same power {r-^ty. And if the diameter, 
 chord, and chord of the supplement, be substituted for the radius, 
 sine, and cosine, in the expressions for the multiple sine and cosine, 
 
LOGARITHMS. 81 
 
 tlie result will give the chord and chord of the supplement of n times 
 the arc or angle A. These, and various other expressions, for multi- 
 ple and submultiple arcs, with other improvements in trigonometry, 
 have also been given by Euler, and other eminent M^riters on the same 
 subject. 
 
 Tlie before mentioned De Lagny offered a project for substituting, 
 instead of the common logarithms, a binary arithmetic, which he called 1 
 the natural logarithns, and which he and Leibnitz seem to have both | 
 invented about the same time, independently of each otiier; but 
 the project came to nothing. De Lagny also published, in several 
 Memoirs of the Royal Academy, a new method of determining the 
 angles of figures, which he called Goniometry, It consists in mea- 
 suring, with a pair of compasses, the arc which subtends the angle 
 in question: yet this arc is not measured by applying its extent to 
 any preconstructed scale, but by examining what pait it is of half 
 the circumference of the same circle, in this manner: from the 
 proposed angular point as a centre, with a sufticiently large radius, 
 a semicircle being described, a part of which is the arc intercepted 
 by tlie sides of the proposed angle, the extent of this arc is taken 
 with a pair of fine compasses, and applied continually upon the arc of 
 the semicircle, by which he finds how often it i& contained in the se- 
 micircle, with usually a small arc remaining ; in the same manner he 
 measures how often this remaining arc is contained in the first arc, 
 and what remains again is applied continually to the first remainder, 
 and so the 3d remainder to the 2d, tlte 4th to the 3d, and so on till 
 there be no remainder, or else till it become insensibly small. By this 
 process he obtains a series ^of quotients, or fractional parts, one of 
 another, v/hich being properly reduced into one, give the ratio of 
 the first arc to the semi-circumference, or of the proposed angle, to 
 two right angles or 180 degrees, and consequently that angle in de- 
 grees, minutes, &c, if required, and that commonly, he says, to a 
 degree of accuracy far exceeding the calculation of the same by means 
 of any tables of sines, tangents, or secants, notwithstanding the apparent 
 paradox in this expression at first sight. Thus, if the first arc be 4 
 times contained in the semicircle, the remainder once contained in 
 the first arc, the next 5 times in the second, and finally the fourth 
 2 times in the third: Here the quotients are 4, 1, 5, 2; consequently 
 
 the fourth or last arc was | the 3d; therefore the 3d was — or -j\. of 
 
 the 2d, and the 2d was •— - or \^ of the 1st, and the first or arc sought, 
 Itt 
 
 was -— or "ll of the semicircle 5 consequently it contains 37f degrees, 
 
 or 37° 8' 34"f . Hence it is evident that this method is In fact notldng 
 more than an example of Continued fractions, the fii'st instance of 
 which was given by lord Brouncker. 
 
 But to return from this lons^ digression 5 Mr. Briggs next treats of 
 
$2 CONSTRUCTION OF 
 
 interpolation by differences, and chiefly of quinquisection, after t!t«f 
 manner used in the 13th chapter of his construction of logarithms, 
 before described. He here pro\^es that curious property of the sine* 
 and their several orders of differences, before mentioned, namely, 
 that of equidifferent arcs, the sines, with the 2d, 4th, 6*th, &c dif- 
 ferences, are continued proportionals; as also the cosines of the 
 means between those arcs, and the 1st, 3d, 5th, &c differences. And 
 to this treatise, on interpolation by differences, he adds a marginal 
 note, complaining that this 13th chapter of his Aritlimetica Logarith- 
 mica had been omitted by Vlacq in his edition of it; as if he were 
 afraid of an intention to deprive him of the honour of the invention of 
 interpolation by successive differences. The note is this : Modus 
 correctionis a me traditus est Arithmetiae Logarithmide capite 13, in 
 editione Londinensi : Istud autem caput una cum sequenti in editwne 
 Batava me inconsulto et inscio omissumfuit: nee in omnibus, editionii 
 illius autJior fvir alioqui industrius et non indoctusj, meam mentem 
 videtur assequutus : Ideoque, ne qidcquam desit cuiquam, qui integrum 
 canonem conficere cupiat, qiKEdam maxime necessaria illinc hue trans- 
 ferenda censui, 
 
 A large specimen of quinquisection by differences is then given, 
 and he shows how it is to be applied to the construction of the whole 
 canon of sines, both for 100th and 1000th parts of degrees ; namely, 
 for centesms, divide the quadrant first into 'J2 equal parts, and find 
 their sines by the primary methods; then these quinquisected give 
 360 parts, a second quinquisection gives 1800 parts, and a third 
 gives 9000 parts, or centesms of degrees : but for mjUesms, divide the 
 quadrant into 144 equal parts; then one quinquisection gives 720, a 
 second gives 3600, a third 18000, and a fourth gives QOOOO parts, or 
 millesms. 
 
 He next proceeds to the natural tangents and secants, which hff 
 directs to be raised in the same manner, by interpolations from a few 
 primary ones, constructed from the known proportions between sines, 
 tangents, and secants; excepting that half the tangents and secants 
 are to be formed by addition and subtraction only, by means of some 
 such theorems as these, namely, 1st, the secant of an arc is equal to 
 the sum of the tangent of the same arc, and the tangent of half its 
 complement, which will find every other secant; 2d, double the tan- 
 gent of an arc, added to the tangent of half its complement, is equal 
 to the tangent of the sum of that arc and the said half complement, by 
 which rule half the tangents will be found ; &c. 
 
 In the two remaining chapters of this book are treated the con- 
 struction of the logarithmic sines, tangents, and secants. This is pre- 
 ceded by some remarks on the origin and invention of them. Our 
 author here observes, that logarithms maybe of various kinds; that 
 others had followed the plan of Baron Napier the first inventor, 
 among whom Benjamin Ursinus is especially .commended, who ap- 
 plied Napier's logarithms to every ten seconds of the quadrant ; but 
 that he kimself, encouraged by the noble inventor, devised other lo- 
 
LOGARITHMS. Sa 
 
 garithms tJiat were much easier and more excellent*. He says he 
 put 10, with ciphers, for the logarithm of radius; 9 for the logarithm 
 sine oH 5° 44', whose natural sine is one 10th of the radius; 8 for that 
 Gt 34', whose natural sine is one 100th of the radius, and so on; 
 thereby making 1 the logarithm of the ratio of 10 to 1, which is the 
 charactei istic of his species of logarithms. 
 
 To construct tiie logarithmic sines, he directs first to divide the 
 quadrant into 72 equal parts as hefore, and to find the logarithms of 
 their natural sines as in the 14th chapter of his jidrithinetica Logarith- 
 micQi after which, this number will be increased hy quinquisection, 
 first to 3G0, then to 1800, and lastly to 9000, or centesms of degrees. 
 But if millesms of degrees he required, divide the quadrant first into 
 144 equal parts, and then by four quinquisections these will be ex- 
 tended to the following parts, 720, 3600, 18000, and 90000, or 
 millesms of degrees. He remarks, however, that the logarithmic sines 
 of only half 'the quadrant need be found in this manner, as the other 
 half may be found hy mere addition, or subtraction, by means of this 
 theorem, as tlie sine of half an arc is to half radius, so is the sine of 
 the whole arc to the cosine of the said half arc. This theorem he 
 illustrates with examples, and then adds a table of the logarithmic sines 
 of the primary 72 parts of the quadrant, from which the rest are to be 
 made out by quinquisection. 
 
 In the next chapter our author shows the construction of the natural 
 tangents and secants more fully than he had done before, demonstrat- 
 ing and illustrating several curious theorems for the easy finding of 
 them. He then concludes this chapter, and the book, with pointing 
 out the very easy construction of the logarithmic tangents and secants 
 by means of these three theorems : 
 
 1st, As cosine : sine : : radius : tangent, 
 2d, As tangent : radius : : radius : cotangent, 
 3d, As cosine : radius : : radius : secant. 
 So that in logarithms, the tangents are found by subtracting the cosines 
 from the sines, adding always 10 or the radius; the cotangents are 
 found by subtracting always ^he tangents from 20 or double tlse 
 radius ; and the secants are found by subtracting the cosines fi'om 20 
 the double radius. 
 
 The 2d book, by Gellibrand, contains the use of the canon In plane 
 and spherical trigonometry. 
 
 Besides Briggs's methods of constructing logarithms, above de- 
 .^cribed, no others were given about that time. For as to the cal- 
 culations made by Vlacq, his numbers being carried to comparatively 
 but few ])Iaces of figures, they were performed by the easiest of 
 Briggs's methods, and in the manner which this ingenious man had 
 pointed out in his two volumes. Thus, the 70 chiliads of logarithms, 
 
 * His words are : " Ego vero ipsius inveritoris primi cohortatione adjutus, alios 
 logariUimos applicandos censui, qui multo faciliorem usum habent, praestantiorem. 
 Logarithmus radii ciicularis vel sinus totius, a me ponitur 10 &c." 
 
 M2 
 
84 CONSTRUCTION OF 
 
 from 20000 to gOOOO, computed by Vlacq, and published in 1628% 
 being extended only to 10 places, yield no more than two orders of 
 mean differences, which are also the correct differences, in quinqui- 
 section, and therefore will be made out thus, namely, one-fifth of 
 them by tlie mere addition of the constant logarithm of 5 ; and the 
 other four-fifths of them by two easy additions of very small numbers, 
 namely, of the 1st and 2d differences, according to the directions 
 given in Briggs's Arith. Log* c. 13, p. 31. And as to Vlacq's loga- 
 rithmic sines and tangents to every 10 seconds, they were easily com- 
 puted thus ; the sines for half the quadrant were found by taking 
 the logarithms to the natural sines in Rheticus's canon ; and then 
 from these the logarithmic sines to the other half quadrant were found 
 by mere addition and subtraction ; and from these all the tangents by 
 one single subtraction. So that all these operations might easily be 
 performed by one person, as quickly as a printer could set up the 
 types : and thus the computation and printing might both be carried 
 on together. And hence it appears that there is no reason for admira- 
 tion at the expedition with which these tables were said to have been 
 brought out. 
 
 Of certain Curves related to Ijygarithnis, 
 
 About this time the mathematicians of Europe began to consider 
 some curves which have properties analogous to logarithms. Edmund 
 Gunter, it has been said, first gave the idea of a curve, whose ab- 
 scisses are in arithmetical progression, while the corresponding ordi- 
 nates are in geometrical progression, or whose abscisses are the loga- 
 rithms of their ordinates ; but I cannot find it noticed in any part 
 of his writings. The same curve was afterwards considered by others, 
 and named the Logarithmic or Logistic curve by Huygens, in his Dis- 
 sertatio dc Causa Graviteitis, where he enumerates all the principal 
 properties of this curve, showing its analogy to logarithms. Many 
 other learned men have also treated of its properties ; particularly Le 
 Seur and Jacquier, in their commentary on Newton's Principiaj Dr. 
 John Keill, in the elegant little tract on logarithms subjoined to his 
 edition of Euclid's Elements; and Francis Maseres, Esq. Cursitor 
 Baron of the Exchequer, in his ingenious treatise on Trigonometry ; 
 in which books the doctrine of logarithms is copiously and learnedly 
 treated, and their analogy to the logarithmic curve &c fully displayed. 
 — It is indeed rather extraordinary that this curve w^as not sooner 
 announced to the public; since it results immediately from baron 
 Napier's manner of conceiving the generation of logarithms, by only 
 supposing the lines which represent the natural numbers to be placed 
 at right angles to that on which the logarithms are taken. This curve 
 greatly facilitates the conception of logarithms to the imagination, and 
 affords an almost intuitive proof of the very important property of 
 tlieir fluxions, or very small increments, to wit, that the fluxion 
 of the number is to the fluxion of the logarithm, as the number 
 is to the subtangent ; as also of this property, that, if three number* 
 
LOGARITHMS. 85 
 
 be taken very 'nearly equal, so that tlieir ratios to each other may dif- 
 fer but a little from a ratio of equality, as for example, the three 
 numbers 10000000, lOOOOOOl, 10000002, their differences will be 
 very nearly proportional to the logarithms of the ratios of those 
 numbers to each other : all which follows from the logarithmic arcs 
 being very little different from their chords, when they are taken very 
 small. And the constant subtangent of this curve is what was after- 
 .war^-«J3X.Q9fe.^.''iy^^ the Modulus of the sy^em of logarithms : and 
 since, bv the former of the two properties abovementioned, this sub- 
 tangent is a 4th proportional to the fluxion of the number, the fluxion 
 of the logarithm, and the number itself; this property afforded oc- 
 casion to Mr. Baron Maseres to give the folluwing definition of the 
 nioxlulus, which Is the same in effect as Cotes's, but more clearly ex- 
 pressed, namely, that it is the limit of the magnitude of a 4th propor- 
 tional to these three quantities, to wit, the difference of any two na- 
 tural numbers that are nearly equal to each other, either of the said 
 numbers, and the logarithm or measure of the ratio they have to 
 each other. Or we may define the modulus to be the natural number 
 at that part of the system of Idgarithms, where the fluxion of the num- 
 ber is equal to the fluxion of the logarithm, or where the numbers 
 and logarithms have equal differences. And hence it follows, that 
 the l9garithms of equal numbers or equal ratios, in different systems, 
 are to one another as the moduli of those systems. Moreover, the ra- 
 tio whose measure or logarithm is equal to the modulus, and thence 
 by Cotes called the ratio modularis, is by calculation found to be the 
 ratio of 2-7182S1828459&C to 1, or of 1 to -367879441 I71&C; 
 the calculation of wliicii number may be seen at full length in Mr. ] 
 Baron Maseres's Treatise on the Principles of Life-annuities, pa. 274 [ 
 and 275. 
 
 Jhejb^pe^rbolic curve also afforded another source for developing 
 and illustrating the properties and construction of logarithms. For 
 the hyperbolic areas lying between the curve and one asymptote, 
 when tliey are bounded by ordinates parallel to the other asymptote, 
 are analogous to the logarithms of their abscisses or parts of the 
 asymptote. And so also are the hyperbolic sectors ; any sector bound- 
 ed by an arc of the hyperbola and two radii, being equal to the qua- 
 drilateral space bounded by the same arc, the two ordinates to either 
 asymptote from the extremities of the arc, and the part of the 
 asymptote intercepted between them. And though Napier's loga- 
 rithms are commonly said to be the same as hyperbolic logarithms, it 
 is not to be understobd that hyperbolas exhibit Napier's logarithms 
 only, but indeed all other possible systems of logarithms whatever, j 
 For, like as the right-angled hyperbola, the side of whose square in- ^ 
 scribed at the vertex is 1, gives Napier's logarithms; so any other ^- 
 system of logarithms is expressed by the hyperbola whose asymptotes "" 
 form a certain oblique angle, the side of the ihombus inscribed at the 
 vertex of the hyperbola in this case also being still 1, the same as the 
 side of the square in the right-angled hyperbola. But the areas of the 
 
m CONSTRUCTION OF 
 
 square and rhombus, and consequently the logarithms of any one and 
 the same number or ratio, differing according to the sine of the angle 
 of the asymptotes. And the area of the square or rhombus, or any in- 
 scribed parallelogram, is also the same thing as what was by Cotes 
 called the modulus of the system of logarithms ; which modulus will 
 therefore be expressed by the numerical measure of the sine of the 
 angle formed ])y the asymptotes, to the radius 1 ; as that is the same 
 with the number expressing the area of the said square or rhombus, the 
 side being 1 : which is another definition of the modulus, to be added 
 to those we before remarked above, in treating of the logarithmic curve. 
 And the evident reason of this is, that in the beginning of the genera- 
 tion of these areas from the vertex of the hyperbola, the nascent incre- 
 ment of the abscisse drawn into the altitude 1, is to the increment of 
 the area, as radius is to the sine of the angle of the ordinate and 
 abvscisse, or of the asymptotes ; and at the beginning of the logarithms, 
 the nascent increment of the natural numbers is to the increment of 
 the logarithms, as 1 is to the modulus of the system. Hence we easily 
 discover that the angle formed by the asymptotes of the hyperbola ex- 
 hibiting Briggs's system of logarithms, will be 25 deg. 44 min. 25| 
 sec. this being the angle whose sine is 0*4342944819 &c, the modulus 
 of this system. 
 
 Or indeed any one hyperbola will express all possible systems of 
 logarithms whatever, namely, if the square or rhombus inscribed at the 
 vertex, or, which is the same thing, any parallelogram inscribed be- 
 tween the asymptotes and the curve at any other point, be expounded 
 by the modulus of the system ; or, which is the same, by expounding 
 the area, intercepted between two ordinates which are to each other in 
 the ratio of 10 to 1, by the logarithm of that ratio in the proposed 
 system. * 
 
 As to the first remarks on the analogy between logarithms and the 
 hyperbolic spaces ; it having been shown by Gregory St. Vincent, in 
 his Quadratic a CireuU ^ Sectionum Cord, published at Antwerp in 
 1647, that if one asymptote be divided into parts in geometrical pro- 
 gression, and from the points of division ordinates be drawn parallel to 
 the other asymptote, they will divide the space between the asymptote 
 and curve into equal- portions; hence it was shown by Mersenne, that 
 by taking the continual sums of those parts, there would be obtained 
 areas in arithmetical progression, adapted to abscisses in geometrical 
 progression, and which therefore were analogous to a system of loga- 
 rithms. And the same analogy was remarked and illustrated soon after 
 by Huygens and many others, who show how to square the hyperbolic 
 spaces by means of the logarithms. 
 
LOGARITHMS. «7 
 
 OfGregoi^y*s * Compntaticm of Logarithms. 
 
 On the other hand, Mr. James Gregory, in his Vera Circuit et Hy^ 
 
 perbola Quadraturdf first printed at Patavi, or Padua, in the year 1667, 
 
 having approximated to the hyperbolic asymptotic spaces, by means of 
 
 a series of inscribed and circumscribed polygons, from tlience shows 
 
 I luiw„tQ compute the logarithms, which are analogous to those areas ; 
 
 l^and thus the quadrature of the hyperbolic spaces became the same 
 
 ' thing as the computation of the logarithms. He here also lays down 
 
 various methods to abridge the computation, with the assistance of 
 
 some properties of numbers themselves, by which we are enabled to 
 
 compose the logarithms of all prime numbers under 1000, each by one 
 
 multiplication, two divisions, and the extraction of the square root. 
 
 And the same subject is farther pursued in his Exercitationes Geome- 
 
 triccB, to be described hereafter. 
 
 There are also innumerable other geometrical figures having pro- 
 perties analogous to logarithms: such as the equiangular spiral, the 
 figures of the tangents and secants, &c ; which it is not to our purpose 
 to distinguish more particularly. 
 
 Of Mercator's f Logarithmotechnia. 
 
 In 1668, Nicholas Mercator published his Logarithmotechnia, sive 
 methodus construendi Logarithmos nova, acairata, ^facilis ; in which 
 he delivers a new and ingenious method for computing the logarithms 
 on principles purely arithmetical; which being curious and very ac- 
 curately performed, I shall here give a rather full and particular ac- 
 count of that little tract, as well as of the small specimen of the qua- 
 drature of curves by infinite series, subjoined to it ; and more especially 
 as this work gave occasion to the public communication of some of Sir 
 Isaac Newton's earliest pieces, to evince that he had not borrowed them 
 from this publication. So it appears that these two ingenious men had, 
 independent of each other, in some instances fallen upon the same 
 things. 
 
 Mercator begins this work with remarking that the word Loga- 
 rithm is composed of the words ratio and number, being as much as to 
 say the number oj ratios ; which he observes is quite agreeable to the 
 nature of them, for that a logarithm is nothing else but the number 
 of ratiimcuJie contained in the ratio which any number bears to unity. 
 He then makes a learned and critical dissertation on the nature of 
 
 * James Gregory was born at Aberdeen in Scotland l638, where he was edu- 
 cated. He was professor of mathematics in the college of St. Andrews, and 
 afterwards in that of Edinburgh. He died of a fever in December 1675, being 
 only 36 years of age. 
 
 f Nicholas Mercator, a learned mathematician, and an ingenious member of 
 the Royal Society, was a native of Holstein in Germany, but spent most of his 
 time in England, where he died in the year 169O, at about 50 years of age. He 
 was the author of jjiany other wQrk» in Geometry, Geography, Astronomy, 
 Astrology, &c. 
 
88 CONSTRUCTION OF 
 
 ratios, their magnitude and measure, conveyipg a clearer idea of the 
 nature of logarithms than had been given by either Napier or 
 Briggs, or any other writer except Kepler, in his work before de- 
 scribed ; though those other writers seem indeed to have had in their 
 own minds the same ideas on the subject as Kepler and Mercator, 
 but without having expressed them so clearly. Our author indeed 
 pretty closely follows Kepler in his modes of thinking and expression, 
 and after him, in plain and express terms, calls logarithms the mea- 
 sures of ratios ; and, in order to the right understanding that defini- 
 tion of them, he explains what he means by the magnitude of a ratio. 
 This he does pretty iiilly, but not too fully, considering the nicety and 
 subtlety of the subject of ratios ; and their magnitude, with their addi- 
 tion to, and subtraction from, each other, which have been misconceived 
 by very learned mathematicians, who have thence been led into con- 
 siderable mistakes. Witness the oversight of Gregory St, Vincent, which 
 Huygens animadverted on in the E^sraa-i^ Cyclometria Gregorii d 
 Sancto Vincentio, and which arose from not understanding, or not ad- 
 verting to, the nature of ratios, and their proportions one to another. 
 And many other similar mistakes might here be adduced of other emi- 
 nent writers. P'rom all which we must commend the propriety of our 
 author's attention, in so judiciously discriminating between the mag- 
 nitude of a ratio, as of a to b, and the fraction -j-, or quotient arising 
 
 from the division of one term of the ratio by the other ; which latter 
 method of consideration is always attended with danger of errors and 
 confusion on the subject; though In the 5th definition of the 6th book 
 of Euclid this quotient Is accounted the quantity of the ratio ; but this 
 definition is probably not genuine, and therefore very properly omitted 
 by professor Simson in his edition of the Elements. And in those 
 ideas on the subject of logarithms, Kepler and Mercator have been fol- 
 lowed by Halley, Cotes, and most of the other eminent writers since that 
 time. 
 
 Purely from the above idea of logarithms, namely, as being the 
 measures of ratios, and as expressing the number of ratiuncuhe con- 
 tained in any ratio, or into which it may be divided, the number of 
 the like equal ratiuncula contained in some one ratio, as of 10 to 1, 
 being supposed given, our author shows how the logarithm or measure 
 of any other ratio may be found. But this however only by-the-by, 
 as not being the principal method he intends to teach, as his last and 
 best, and which we arrive not at till near the end of the book, as we 
 shall see below. Having shown then that these logarithms, or 
 numbers of small ratios, or measures of ratios, may be all properly re- 
 presented by numbers, and that of 1, or the ratio of equality, the 
 logarithm or measure being always 0, the logarithm of 10, or the 
 measure of the ratio 10 to 1, is most conveniently represented by 1 
 with any number of ciphers; he then proceeds to show how the 
 measures of all other ratios may be found from this last supposition. 
 And he explains the principles by the two following examples. 
 
LOGARITHMS. 83 
 
 First, to find the logarlthiti of 100*5*, or to find how many ratiun^ 
 €iil(R are contained in the ratio of 100-5 to 1, the nwmhev oi ratmncal(R 
 in the decuple ratio, or ratio of 10 to 1, being 1,0000000. 
 
 The given ratio 100*5 to I, lie first divides into its parts, namely, 
 100-5 to 100, 100 to 10, and 10 to 1 ; the last two of which being 
 decuples, it follows that the characteristic will be 2, and it only re- 
 mains to find how many parts of the next decuple belong to the first 
 ratio of 100-5 to 100. Now if each term of this ratio be multiplied 
 by itself, the products will be in the duplicate ratio of the first terms, 
 or this last ratio will contain a double number of parts ; and if these 
 be multiplied by the first terms again, the ratio of the last products 
 will contain three times the numbei* of parts ; and so on, the number 
 of times of the first parts contained in the ratio of any like powers of 
 the first terms, being always denoted by the exponent of the power. 
 If therefore the first terms, 100*5 and 100, be continually multiplied 
 till the same powers of them have to each other a ratio whose mea- 
 sure is known, as suppose the decuple ratio 10 to 1, whose measure is 
 1,0000000; then the exponent of that power shows what multiple 
 this measure 1,0000000, of the decuple ratio, is of the required 
 measure of the first ratio 100*5 to 100; and consequently dividing 
 1,OOOOOOQ by that exponent, the quotient is the measure of the ratio 
 100*5 to 100 sought. The operation for finding this, he sets down as 
 here follows; where the several multiplications are all performed in 
 the contracted way, by inverting the figures of the multiplier, and re- 
 taining only the first number of decimals in each product. 
 
 * Mercator distinguishes his decimals from integers thus 100[5, or 100I5. 
 
 N 
 
DO 
 
 CONSTRUCTION OF 
 
 100-5000 
 
 500 1 
 
 100500a 
 
 502 5 
 
 1010025 
 
 520010 1 
 
 1010025 
 
 10100 
 
 20 
 
 5 
 
 1020150 
 
 051 020 i_ 
 
 ' lOiOliO 
 
 20403 
 
 102 
 
 51^ 
 
 1040706 
 60/0101 
 
 1083068 
 8603801 
 1173035" 
 5303711 
 13760ir 
 8106781 
 1893406 
 604398 1 
 3584985 
 5894853 
 12852116 
 
 power 
 1 
 
 8 
 8 
 16 
 16 
 32 
 32 
 
 64 
 
 64 
 
 128 
 
 128 
 
 256 
 256 
 512 
 
 This power being 
 greater than the decuple 
 of the like power of 1 00, 
 which must always be 1 
 with ciphers, resume 
 therefore the 256th 
 power, and multiply it, 
 not by itself, but by the 
 next before, viz. by 
 the 1 28th, thus 
 
 3584985 
 6013981 
 6787831 
 1106731 
 
 9340130 
 5303711 
 
 10956299 - 
 
 256 
 128 
 384 
 
 64 
 44S 
 
 32 
 480 
 
 Tliis power again ex- 
 ceeding the same power 
 of 100 more than 10 
 times, I therefore draw 
 the same 448th5 not in- 
 to the 32d, but the next 
 preceding, thus 
 
 9340130 
 8603801 
 
 10115994 
 
 448 
 
 16 
 
 464 
 
 This being again loo 
 much, instead of the 
 16th, draw it into the 
 8th or next preceding, 
 thus 
 
 9340130 
 6O704OI 
 
 _ _ 
 
 448 
 8 
 
 9720329 
 0510201 
 
 : : 
 
 456 
 4 
 
 9916193 
 5200101 
 
 " 
 
 460 
 2 
 
 10015603 
 
 _ . 
 
 462 
 
 Which power 
 exceeds the limit; 
 fore draw the 
 into the 1st, thus 
 
 again 
 there- 
 460th 
 
 9916193 
 5001 
 
 : : 
 
 460 
 
 ] 
 
 9965774 
 
 - - 
 
 461 
 
 Since therefore the 
 
 462d power of 100*5 is 
 greater, and the 461st 
 power is less, than the 
 decuple of the same' 
 power of ' 1 00 ; I find 
 that the ratio of 100*5 
 to 100 is contained in 
 tlie decuple more than 
 
 46 1 times, but less thaQ 
 
 462 times. Again, 
 
 ("460") 
 
 Since the < 461 > power is 
 
 14623 
 
 9916193") and the differences 
 9965774 > 49581 1 nearly 
 0015603 3 49829 3 equals 
 
 therefore the proportional part which the exact power, or 1 0000000, 
 exceeds the next less 996577^, will be easily and accurately found by 
 the Golden Rule, thus : 
 
 The just power 
 and the next less 
 the difference 
 
 - - 10000000 
 
 - - 9965774 
 
 - - 34226; then 
 
 As 49829 the dif. between the next less and greater, 
 : To 34226 the dif. between the next less and just, 
 :: So is 10000 : to G^^S, the decimal parts; and therefore the ra- 
 tio of 100'5 to 100, is 461 '6868 times contained iu the decuple or 
 
LOGARITHMS. 91 
 
 tatio of 10 to 1. Dividing now 1,0000000, the measure of tlie de- 
 cuple ratio, by 461-6368, the quotient 0021659/ is the measure of 
 the ratio of 100*5 to 100; which being added to 2 the measure of 
 100 to 1, the sum 2,0021659/ is the measure of the ratio of 100-5 to 
 1, tliat is, the log. otj0QJ^is^^2j002J6592^ 
 
 In the same manner he next investigates the log. of 99*5, and finds 
 ^~~itj£Lhe^lJ}^^82>'S01. A few observations are then added, calculated 
 to generalise the consideration of ratios, tlieir magnitude, and their 
 aflPections. It is here remarked, that he considers the magnitude of 
 the ratio between two quantities as the same, whether the antecedent 
 be the greater or the less of the two terms : so, tlie magnitude of the 
 ratio of 8 to 5, is the same as of 5 to 8 ; that is, by the magnitude of 
 the ratio of either to the other, is meant the number of ratiunculcE be- 
 tween them, which will evidently Ije the same, whether the greater or 
 less term be the antecedent. And, he further remarks that, of different 
 ratios, when we divide the greater term of each ratio by the less, that 
 ratio is of the greater mass or magnitude, which produces the greater 
 quotient, et vice versa ; though those quotients are not proportional to 
 the masses or magnitudes of the ratios. But when he considers the 
 ratio of a greater term to a less, or of a less to a greater, that is to say, 
 the ratio of greater or less inequality, as abstracted from the magnitude 
 of the ratio, he distinguishes it by the word affection, as much as to 
 say, greater or less affection, something in the manner of positive and 
 negative quantities, or such as are affected with the signs -f and — ..... 
 The remainder of this work he delivers in several propositions, as 
 follows. 
 
 Proj). 1. In subtracting from each other, two quantities of the same 
 affection, to wit, both positive, or both negative ; if the remainder 
 be of the same affection with the two given, then is the quantity sub- 
 tracted the less of the two, or expressed by tlie less number ; but if 
 the contrary, it is the greater. 
 
 Prop, 2. In any continued ratios, as -, , , -&c. (by 
 
 which is meant the ratios of a to a-\-h, a-i-b to a + 2Z), a4-2Z> to 
 a + 3/;, &c.) of equidifferent terms, the antecedent of each ratio being 
 equal to the consequent of the next preceding one, and proceeding 
 from less terms to greater; the measure of each ratio will be expressed 
 by a grea:er quantity than that of the next following; and the same 
 through all their orders of differences, namely, the 1st, 2d, 3d, &c. 
 differences ; but the contrary, when the terms of the ratios decrease 
 from greater to less. 
 
 Prop. 3. In any continued ratios of equidifferent terms, if the 1st or 
 least be a, the difference between the 1st and 2d b, and c, d, e, &c. 
 the respective first term of their 2d, 3d, 4th, &c, differences ; then 
 shall the several quantities themselves be as in the annexed scheme ; 
 
 N2 
 
92 
 
 CONSTRUCTION OF 
 
 where each term is composed 
 of the first term, together with 
 as many of the differences as 
 it is distant from the first term, 
 and to those differences join- 
 ing, for coefficients, tlie num- 
 bers in the sloping or oblique 
 lines contained in the annexed 
 table of figurate numbers, in 
 the same manner, he observes, 
 as the same figurate numbers 
 complete the powers raised 
 from a binomial root, as had 
 long before been taught by 
 others. He also remarks, that 
 this rule not only gives any 
 one term, but also the sum of 
 any number of successive terms 
 from the beginning, making 
 the 2d coefficient the first, the 
 8d the 2d, and so on; thus, 
 the sum of the first 5 terms is 
 6a+105+10c+5d-l-e. 
 
 In the 4th prop, it is shown, 
 that if the terms decrease, pro- 
 ceeding from the greater to 
 the less, the same theorems 
 hold good, by only changing 
 the sign of every other term, 
 as in the margin. 
 
 1st term - - a 
 
 2d term - - a-\- b 
 
 3d term - - a + 2fo+ c 
 
 4th term - - a-\-Sb + 3c+ d 
 
 5th term - - a + 4Z> + 6c + 4d-f ^ 
 &c. &c. 
 
 1st term - - a 
 
 2d term - - a— Z> 
 
 3d term - - a— 2Z) + c 
 
 4th term - - a-^Sb + 3c—d 
 
 5th term - - a—4Z) + 6c— 4d-f if 
 &c. &c. 
 
 Prop. 6 and 7 treat of the approximate multiplication and division 
 of ratios, or, which is the same thing, the finding nearly any powers, 
 or any roots of a giv^n fraction, in an easy manner. The' theorem 
 for raising any power, when reduced to a simpler form, is this, 
 
 ■md 
 
 .md 
 
 the m power of -, or, (-^"', is =z— — nearly, where s is rza + &, 
 
 b b " ' — ' "^ 
 
 and drzau^b, the sum and difference of the two numbers, and 
 the upper or under signs taking place according as - is a proper or an 
 improper fraction, that is, according as a is less or greater than h» 
 And the theorem for extracting the mth root of ^-j or x/ji is 
 
 F 
 
 "* W.9Hh(i 
 
 (~) zz ' , nearly: which latter rule is also the same as the for- 
 
 W ms±d 
 
 wier, as will be evident by substituting - instead of m in the first 
 
LOGARITHMS. 93 
 
 theorem. So that universally (-r^) « is =—^ nearly. Ihese theo- 
 rems however are nearly true only in some certain cases, namely, 
 
 when 7- and — do not differ greatly from unity. And in the 7tli 
 
 o n 
 
 prop, the author shows how to find nearly the error of the theo- 
 rems. 
 
 In the 8th prop, it is shown, that the measures of ratios of equidif- 
 ferent terms, are nearly reciprocally as the arithmetical means be- 
 
 o r 1 . 16 33 50 
 
 tween the terms of each ratio, bo of the ratios — , — , ~, 
 
 the mean between the terms of the first ratio is 17, of the 2d 34, of 
 
 the 3d 51, and the measure of the ratios are nearly as-—-, — — , -— -. 
 
 1/ 34 51 
 From this property he proceeds, in the 9th jwop, to find the mea- 
 sure of any ratio less than -r^rprr, which has an equal diiference (1) 
 
 of terms. In^^he two examples mentioned near the beginning, our 
 
 99*5 
 author found the logarithm, or measure of the ratio, of— — , tobe 
 
 21769-rV, and that of -——to be 21659/0; therefore the sum 43429 
 
 1 WU'O 
 
 IS the loganthm of—-, or--, x— ^-; or the logarithm of—- 
 
 is nearer 43430, as found by other more accurate computations. — 
 
 Now to find the logarithm of — --, having the same difference of terms 
 
 (1) with the former; it will be, by prop. 8, as 100*5 (the mean 
 between 101 and 100): 100 (the mean between 99*5 and 100-5) 
 
 : : 43430 : 43213 the logarithm of——, or the difference between 
 
 the logarithms of 100 and 101. But the log. of 100 is 2; therefore 
 the logarithm of 101 is 2,0043213. Again, to find the loga- 
 rithm of 102, we must first find the logarithm of —— ; the mean be- 
 tween its terms being 101*5, therefore as 101*5 : 100 ; : 43430: 
 
 42788 the logarithm of r-^^j or the difference of the logarithms of 
 IU4U 
 
 101 and 102. But the logarithm of 101 was found above to be 
 
 _2^0043213; therefbre" the logarithm of 102 is 2,0086001.— So that, 
 
 '^dividing continually 868596 (the double of 434298 the logarithm of 
 
 99*5 199 
 -— — or — -) by each number of the series 201, 203, 205, 207, &c, 
 
 1 UU O ^\} 1 
 
 then add 2 to the first quotient, to the sum add the 2d quotient, and 
 so on, adding always the next quotient to the last sum, the several 
 sums will be the respective logarithms of the numbers in this series 
 101, 102, 103, 104, Sec. 
 
gi CONSTRUCTION OW 
 
 The next, or prop. 10, shows that, of two pair of continued ratio? 
 whose terms have equal differences, the difference of the measures of 
 the first two ratios, is to the difference of the measures of the other 
 two, as the squarj? of the common term in the two latter, is to that 
 in the former, nearly. Thus, in the four ratios 
 
 a a+b a-S-3/> a-\-4h , aa+2ah , ,.„ 
 
 — .-7> —7-77/:' — TTkJ ~7T7 J ^s the measure of . .. (the difference 
 
 of the first two, or the quotient of the two fractions) : is to the 
 
 ^aa-\-Sab-\-i^bb , ,v, . , ,x, 
 
 measure of T~TTf^ — : I so (a+4o) : is to {a-\-o) , nearly. 
 
 In prop. 1 1 , the author shows, that similar properties take place 
 among two sets of ratios consisting each of 3 or 4, &c, continued 
 numbers. 
 
 Prop, 12 shows that, of the powers of numbers in arithmetical 
 progression, the orders of diff'erences which become equal, are the 
 2d differences in the squares, the 3d differences in the cubes, the 4th 
 differences in the 4th powers, &c. And hence it is shown how to 
 construct all those powers by the continual addition of their differences ; 
 as had been long before more fully explained by Briggs. 
 
 In the next, or 13th prop, our author explains his compendious 
 method of raising the tables of logarithms, showing how to construct 
 the logarithms by addition only, from the properties contained in the 
 8th, Qth, and 12th propositions. For this purpose, he makes use of 
 
 the quantity r — ;? which by division he resolves into this infinite se- 
 
 . a ac ac^ «c^ o '/../- v t^ . ■, ,^^1 
 
 nes -7- + rr + "TT + ~iT ^^ ("* wz/iw.). Putting then a-: 100, the 
 
 99'5 
 arithmetical mean between the terms of the ratio— —-,6 =100000, 
 
 100*5 
 
 and c successively equal to 0*5, 1*5, 2*5, &c, that so b — c may be re- 
 spectively equal to 99999-5,99998'5,99997*5, &c, the corresponding 
 
 , , . 99999 99998 99997 „ 
 
 means between the terms of the ratios ^-^^^, ^^^, ^^^, &c, 
 
 it is evident thatr — will be the quotient of the 2d term divided by 
 
 the 1st, in the proportions mentioned in the 8th and 9th propositions; 
 and when all of these quotients are found, it remains then only to 
 multiply them by the constant 3d term 43429, or rather 43429'8, of 
 the proportion, to produce the logarithms of the ratios 
 99999 99998 9999/ „ .,10000 , , ,. i 
 
 _Tooooo' 9-9999' 9-999S' ^"' '^^^loooT' ^^^^ "^^^^"^ '^'''^ "^"''' 
 
 "% nually to 4, the logarithm of 10000, the least number, or subtracting 
 
 them from 5, the logarithm of the highest term 100000, there will 
 
 result the logarithms of all the absolute numbers from 10000 to 
 
 100000. Now when c=0'5, then 
 
1 
 
 43429 
 
 2 
 
 86858 
 
 3 
 4 
 5 
 6 
 
 7 
 
 130287 
 173716* 
 217145 
 260574 
 304003 
 
 8 
 9 
 
 347432 
 390861 
 
 LOGARITHMS. S5 
 
 — ='001,— -000000005,— ='0O00O0OO00O0O25, — r=*0OO00O00000O00O00Oli5, 
 i Lb l^ b* 
 
 &c. ; therefore -f——-^~{-~ -f ^- &c, is =-001000005000025000125, 
 b—rc b bb ■ b^ G 
 
 In like manner if c=l-5, then will be=-00100001 5000225003375, 
 
 b—c 
 
 and if c=2-5, then -^ will ber:-0O10OOO25000625015625, 
 b—c 
 
 j8cc<, But Instead of constructing all the values of j— ^ in the usual 
 
 way of raising the powers, he directs how they may be found by ad- 
 dition only, as in the last proposition. Having thus 
 
 found all the values of ——, the author then shows, 
 h — c 
 
 that they may be dra\^^n into the constant logarithm 
 43429 by addition only, by the help of the annexed 
 table of the first 9 products of it. 
 
 The author then distinguishes which of the loga- 
 rithms it maybe proper to find in this way, and which 
 from their component parts. Of these, the logarithms 
 of all even numbers need not be thus computed, being 
 composed from the number 2; which cuts off one-half 
 of the numbers; neither are those numbers to be computed which 
 end in 5, because 5 is one of their factors ; these last are ^'^ of the 
 numbers; and the two together f + -j^o make ^ of the whole, and 
 of the other f , the i of them, or -/j of the whole, are composed of 
 3; and hence |--|--s%, or -J~ of the numbers, are made up of such as 
 are composed of 2, 3, and 5. As to the other numbers, which may 
 be composed of 7, of 11, &c ; he recommends to find their logarithms 
 in the general way, the same as if they were incomposites, as it is not 
 worth while to separate them in so easy a mode of calculation. So 
 that of the QO chiliads of numbers from 10000 to 100000, only 24 
 chiliads are to be computed. Neither indeed are all of these to be 
 
 calculated from the foregoing series for , but only a few of them 
 
 in that way, and the rest by the proportion in the 8th proposition. 
 Ilius, having computed the logarithms of 10003 and 10013, omit- 
 ting 10023, as being divisible by 3, estimate the logarithms of 10033 
 and lOO'iS, which are the 30th numbers from 10003 and 10013; 
 and again omitting 10053, a multiple of 3, find the logarithms of 
 10063 and 10073. Then by prop. 8, say. 
 
 As 10048, the arithmetical mean between 10033 and 10063, 
 
 to 10018, ^ae arithmetical mean between 10003 and 10033, 
 
 so 13006, the difference between the logarithms of 10003 and 10033, 
 
 to 129fi7> the difference between the logarithms of 10033 and 10063. 
 
 r 10048) r 12967 
 
 That is, 1st -- As ^ 10078 V : 10018 :: 13006 : \ &c* 
 (.10108) l 
 
CONSTRUCTION OF 
 
 (10058-) r 12955 
 
 Again, As ^ 10088 V : 10028 :: 12992 : ) &c. 
 , 00118) I 
 
 r r 10068^ r 12940 
 
 And 3dly, As ^ 10098 > : 10058 :: 12979 : ) &c. 
 
 ^ ^^' 3 , I , 
 
 And with this our author concludes his compendium for constructing 
 the tahles of logarithms. 
 
 He afterwards shows some applications and relations of the doc- 
 trine of logarithms to geometrical figures: in order to which, in 
 prop. 14, he proves algebraically that, in the right- 
 angled hyperbola, if from the vertex, and from any 
 other point, there be drawn BI, FH perpendicular 
 to the asymptote AH, or parallel to the other asymp- 
 tote ; then will AH : AI ; : BI : FH. And, 
 
 In prop. 15, if AlmBInl, and HI=a; then will 
 
 FHz:--— - rzl—a-j-a^— a^ -{-a*— '(2^ &c, ininfini- 
 
 turn, by a continued algebraic division, the process of which he 
 describes, step by step, as a thing that was new or uncommon. But 
 that method of division had been taught before, by Dr. Wallis, in his 
 Op^^s Arithmeticum,, 
 
 Prop, 16 is this : Any given number being supposed to be divided 
 into innumerable small equal parts, "it is required to assign the sum 
 of any powers of the continual sums of those innumerable parts. 
 For which purpose he lays down this rule ; if the next higher power 
 oi' the given number, above that power whose sum is sought, be 
 divided by its exponent, the quotient will be the sum of the powers 
 sought. That is, if N be the given number, and a one of its innu- 
 merable equal parts, then will 
 
 a« + (2fl)" -f- {oo}^ + (4a)« &c. , . .N"" be= : which theorem 
 
 he demonstrates by a method of induction. And this, it is evident, 
 is the finding the sum of any powers of an infinite number of arith- 
 metical s, of which the greatest term is a given quantitj^, and the least 
 indefinitely small. It is also remarkable, that the abo\4 expression is 
 similar to the rule for finding the fluent to the given fluxion of a 
 power, as afterwards taught by Sir I. Newton. 
 
 Mercator then applies this rule, in prop. 17> to the quadrature of 
 the hyperbola. Thus, putting Air: 1, conceive the asymptote to be 
 divided from I into innumerable equal parts, namely, lp=:pq=qr 
 =:a; then, by the 14th and l5th, 
 
 L'fl'^o^t f-'^ Q^'s f^> But the area BIru is = the sum 
 ^-1^3a+ 9a^-27a^ &c) F + qt+''"^ which is = 
 
 3— 6fl+14a'^— 36a' .&c, that Is, equal to the number of terms 
 contained in the line Ir, minus the sum of those terras, plus the 
 
LOGARITHMS. . 9? 
 
 sum of the squares of the same, minus tlie sum of their cubes, plus 
 the sum of the 4th powers, &c. Putting now JArrl, as before, and 
 Ip=0-1 the number of terms, to find the area BIps : by prop. IG the 
 
 sum of the terms will be -~— :r:-005, the sum of their squares =: 
 
 •000333383, ihe' sum of their cubes '000025, the sum of the 4th 
 powers -000002, the sum of the 5th powers '000000166, the sum 
 of the 6th powers 000000014, &c. Therefore the area BIps is z= 
 •1 - 005 -f- 000333333 — 'OOOO-^o + 000002 — -000000166 -f 
 •000000014 &c ir 100335347 — '005025 l66~-0y53 101 8 1 &c. 
 
 Again, putting Iq = -21 the number of terms, he finds in like 
 manner the area Blqt =:: -21 — • 02205 + -00308/ — 000186202 + 
 •0000S1682— 00001-1294 + '000002572—000000472 + 
 •000000088 &c =: '213171345 — •022550f)84 n '190620361 &c. 
 
 He then adds, hence it appears that, as the ratio of Al to Ap, or 
 1 to I'l, is half or subduplicate of the ratio of AI to Aq, or 1 to 
 1-21, so the area BIps is here found to be half of the area Blqt. 
 These areas he computes to 44 places of figures, and finds them still 
 in the ratio of 2 to 1 . 
 
 The foregoing doctrine amounts to this, that if the rectangle BI 
 X Ir, which in this case is expressed by Ir only, be put zr J, AI 
 being = 1 as before; then the area BIru, oijdi^J^ipeEbaUc. logarithm 
 of lj-^j4j or of the ratio of I to 1 + J, will be equal to the infinite 
 series y^ — f.-/^ -f- 1^3 — 1^"^ +|. 45 &c; and which therefore may 
 be considered as Mercator's quadrature of the hyperbola, qr^liis^gene- 
 ral expression of an hyperbolic logarithm in an infinite series^ And 
 this method was further improved by Dr. Wallis in the Philos. Trans, 
 for the year 1668. 
 
 In ^rop. 18 Mercator compares the hyperbolic areolae with the ra- 
 tiuncidcb of equidifferent numbers, and observes that, 
 the areola BIps is the measure of the ratiuncula of AI to Ap, 
 the areola spqt is the measure of the ratiuncula of Ap to Aq, 
 the areola tqru is the measure of the ratiuncula of Aq to Ar, Sec. 
 
 Finally, in the 1 9tli prop, he shows how the sums of logarithms 
 may be taken, after the manner of the sums of the areolce. And hence 
 infers as a corollary, how the continual product of any given numbers 
 in arithmetical progression may be obtained ; for the sum of the loga- 
 rithms is the logarithm of the continual product. He then remarks, 
 that from the premises it appears, in what manner Mersennus's pro- 
 blem may be resolved, if not geometrically, at least in figures to any 
 number of places- And thus closes this ingenious tract. 
 
 In the Philos. Trans, for 1668 are also given some further illustra- 
 tions of this work, by the author himself. And in various places also 
 in a similar manner are logarithms and hyperbolic areas treated of by. 
 Lord Brouncker, Dr. Wallis, Sir I. Ts^ewton, and many other learned 
 persons. 
 
 Of Gregory's Exerdtaiiones Geometriae. 
 
 In the same year 1668 came out Mr. James Gregory's Exercitationes 
 Geometries, in which are contained the following pieces ; 
 
 O 
 
98 ^ CONSTRUCTION OF 
 
 1, Appendicula ad veram circuli et hyperbolas quadraturam r <^ 
 
 2, N. Mercatoris quadratura hyperbolas geometrice demonstrata : 
 
 3, ^nalogia inter lineam meridianavi) planispbeerii nautici et tan* 
 gentes artificiales geometrice demonstrata; sei^ quod secantium natu- 
 ralium additio efficiat tangentes artificiales: — 4, Item, quot tangenti- 
 um naturalium additio elBciat, secantes artificiales : — 5, Quadratura 
 
 conchoidis: 6, Quadratura cissoidis: & 7> Methodus facilis et 
 
 accurata componendi secantes et tangentes artificiales. 
 
 The first of these pieces, or the Appendicula, contains some further 
 extension and illustration of his Fera circuli et hyperbolae quadratura, 
 occasioned by the animadversions made 014 that work by the celebrated 
 mathematician and philosopher Huygens* 
 
 In the 2d is demonstrated geometrically, the quadrature of the hy- 
 perbola; by which he finds a series similar to Mercator's Ibr thg Joga- 
 rithm, or tiie hyperbolic space beyoiTd tiie""first ordinate j^Bl, fig. pa. 
 96.) In like manner he finds another series for the space at an equal 
 distance within that ordinate. These two series having all their terms 
 alike, but all the signs of the one plus, and those of the other alter- 
 nately plus and minus, by adding the two together, every other term is 
 cancelled, and the double of the rest denotes the sum of both spaces. 
 Gregory then applies these properties to the logarithms ; the conclu- 
 sion from all which may be thus briefly expressed : 
 
 since J^lJ^ + iA^-^J^ &c -the log. of i^, 
 and ^ + |^*+|^^ + i^^ &c=:thete. of 
 
 therefore 2 ^+ f ^^ + f^^ + 1^ ^ &c ~ the log. of ~^^, 
 
 or of the ratio of 1 — ^ to \-^ J. ¥/hich may be accounted Gre- 
 gory*s method of making logaritlims. 
 
 The remainder of this little volume is chiefly employed about the 
 nautical meridian, and the logarithmic tangents and secants. It 
 does not appear by whom, nor by what accident, was discovered the 
 analogy between a scale of logarithmic tangents and Wright's pro- 
 traction of the nautical meridian line, which consisted of the sums 
 of the secants. It appears however to have been first published, 
 and introduced into the practice of navigation, by Henry Bond, 
 who mentions this property in an edition of Norwood's Epitome of 
 Navigation, printed about 1645 ; and he again treats of it more fully 
 in an edition of Gunter's works, printed inj 643, where he teaches, 
 from this property, how to resolve all the cases of Mercator's sailing 
 by the logarithmic tangents, independent of the table of meri- 
 dional parts. This analogy had only been found to be nearly true 
 by trials, but not demonstrated to be a mathematical property. 
 Such demonstration seems to have been first discovered by Nicholas 
 Mercator^ who^ desirous of making the most advantage of this 
 
LOGARITHMS. 
 
 99 
 
 kO 
 
 K 
 
 \^ 
 
 X 
 
 -^^ 
 
 XT M isr OP 
 
 A 
 
 and another concealed invention of liis in navigation, by a paper 
 in the Philos. Trans, for June 4, 1666, invites the public to enter into 
 a wager with him, on his ability to prove the truth or falsehood of the 
 supposed analogy. But this mercenary proposal it seems was not 
 taken up by any one, and Mercator reserved his demonstration. The 
 proposal however excited the attention of mathematicians to the sub- 
 ject itself, and a demonstration was not long wanting. The first was 
 published about two years after by Gregory, in the tract now under con- 
 sideration, and from thence and other similar properties, here demon- 
 strated, he shows, in the last article, how the tables of logarithmic tan- 
 gents and secants may easily be computed, from the natural tangents 
 and secants. The substance of which is as follows : 
 
 Let A I be the arc of a quadrant h 
 extended in a right line, and let 
 the figure ahi be composed of 
 the natural tangents of, every arcO 
 from the point a, erected perpen- 
 dicular to Ai at their respective 
 points : let ap, po, on, nm, &c, be 
 the very small equal parts into v/hich 
 the quadrant is divided, namely, each 
 ■ioi or t^o <^f a degree : draw pb, oc, 
 ND, ME, &c, perpendicular to ai. 
 
 Then it is manifest, from what had been demonstrated, that the 
 figures ABP, AGO, &c, are the artificial secants Of the arcs ap, 
 Ao, &c, putting for the artificial radius. It is also manifest, that 
 the rectangles bo, on, dm, &c, will be found from the multiplication 
 of the small part ap of the quadrant by each natural tangent. But, 
 he proceeds, there is a little more difficulty in measuring the figures 
 ABP, Bcx, CDV, &c; for if the first differences of the tangents 
 be equal, ab, bc, cd, &c, will not differ from right lines, and 
 then the figures abp, bcx, cdv, &c, will be right-angled trian- 
 gles, and therefore any one, as hqg, will be rz ^ qh X qg: but 
 if the second differences be equal, the said 6gures will be portions of 
 trilineal quadratrices ; for example hqg wi]l be a portion of a trilineal 
 quadratrix, whose axis is parallel to qh ; and each of the last differ- 
 ences being z, it will be qhg — | qh X qg — ^^ ^ ^ QG : and if the 
 third differences be equal, the said figures will be portions of tri 
 lineal cubices, and then shall qhg be z= i qh X qg — {*/ 
 QHXZXQG^ — ttW z^ X qg""),: wlicu the 4th differences are equal, 
 the said figures are portions of trilineal quadrato-quadratrices, and 
 tlie 4th differences are equal to 24 times the 4th power of qg 
 divided by the cube of the latus rectum; also when the 5th dif- 
 ferences are equal, the said figures are portions of trilineal surso- 
 lids, and the 5th differences are equal to 120 times the sursolid of qg 
 divided by the 4th power of the latus rectum ; and so on hi infinitum. 
 What has been here said of the composition of artificial secants 
 from the natural tangents, it is remarked, may in like manner 
 
 02 
 
 (tt 
 
100 CONSTRUCTION OF 
 
 Be understood of tlie composition of artificial tangents, from the 
 natural secants, according to what was before demonstrated. It is 
 also observed that the artificial tangents and secants are com- 
 puted, as above, on the supposition that is the logarithm of 1, 
 and 1000000000000 the radius, and 2302585092994015624017870 
 the logarithm of 10; but that they may be more easily computed, 
 namely, by addition only, by putting -g'^ of a degree = qg =: ap :r: 1, 
 and the logarithm of 10=791570446*7897819; for by this means 
 Iqhxqg is zz Iqh — QHG_, and IqhXqg — ^z x qg = | qh — 
 ^^z — QHG, also 
 
 i QH X QG */ {j\ QH X Z X QG* T?TfZ^ X QG*) = 
 
 fQH — -v/ (y\rQH X z — Tjis^^) = QHG: and finally, by one 
 division only are found the artificial tangents and secants to 
 1000000000000000, the logarithm of 10, putting still 1 for radius, 
 which are the differences of the artificial tangents and secants, in 
 the table from that artificial radius ; and to make the operations easier 
 in multiplying by the number 79 '57044(5789781 9? or logarithm of 10, 
 a table is, set down of its products by the first 9 figures. But if ap 
 or QG be = -j-i-^ of a degree, the artificial tangents and secants will 
 answer to 13192840779^29703 as the logarithm of 10, the first 9 
 multiples of which are also placed in the table. But to represent the 
 numbers by tlie artificial radius, rather than by the logarithm of 10, 
 the author directs to add ciphers, &c. — And so much for Gregory's 
 Eooercitationes Geometficce. 
 
 The same analogy between the logarithmic tangents and the me- 
 ridian line, as also other similar properties, were afterwards more 
 elegantly demonstrated by Dr. Halley in the Philos. Trans, for Feb. 
 1696', and various methods given for computing the same, by examin- 
 ing the nature of the spirals into which the rhumbs are transformed 
 in the stereographical projection of the sphere on the plane of the 
 equator: the doctrine of which w^as rendered still rhore easy and 
 elegant by the ingenious Mr. Cotes, in his Logometria, first printed 
 in the Philos. Trans, for 17 14, and afterwards in the collection of his 
 works published in 1732 by his cousin Dr. Robert Smith, who suc- 
 ceeded him in the Plumian professorship of philosophy in the Uni- 
 versity of Cambridge. 
 
 The learned Dr. Isaac Barrow also, in his Lectiones Geomefricce, 
 Led. XL Append, first published in 1672, delivers a similar property, 
 namely, that the sum of all the secants of any arc is analogous to the 
 logarithm of the ratio of r + 6' to r — s, or radius plus sine to radius 
 minus sine ; or, which is the same thing, that the meridional parts 
 answering to any degree of latitude, are as the logarithms of the ratios 
 of the versed sines of the distances from the two poles. 
 
 Mr. Gregory's method for making logarithms was further exem- 
 plified in numbers, in a small tract on this subject, printed in 1688, 
 by one Euclid Speidell, a simple and illiterate person, and son of 
 John Speidell, before mentioned among the first writers on loga- 
 rithms. 
 
 \ 
 
LOGARITHMS. lOi 
 
 Gregory also invented many other infinite series, and among them 
 these following, viz. a being an arc, t its tangent, and s the secant, 
 to the radius r ; then is 
 
 Sf' ' 5r' Ir"" 'dr- 
 
 5=rH r^ -A &c. 
 
 ^ 2;- ' 24r^ ^ 720;-^ 80(J4r^ 
 
 And if r and c denote the artificial or logarithmic tangent and secant 
 
 of the same arc a, the Vv'hole quadrant being q, and e=:2a — q; 
 
 then is 
 
 r^ r'^ 61r^ 277r9 
 
 ^""'^ ~Q?'^'2^ ^01-Jr^ "^7 257 6r^ 
 
 _ e^ e5 61^7 27 7 e^ 
 
 ^~^+67'^24;^+5040;^'^T2376r« ^'^• 
 
 cr= &c. 
 
 2r 1 2r^ ^ 4-5r^ ^ 25lOr'' ^ 28350r^ 
 
 Also if s denote the artificial secant of 45°, and s + I the artificial 
 
 secant of any arc a, the artificial radius being ; then is 
 
 r . 4P 7/* . 14/' 452/% 
 
 The investigation of all which series may be seen at pa. 298 et seq. 
 vol. 1 . Dr. Horsley's learned and elegant commentary on hir 1. New- 
 ton's works, as they were given in the Commerdum Epistoliciim 
 N° XX, without demonstration, and where the number 2 is also want- 
 ing in the denominator of the first term of the series expressing the 
 value of c. ' 
 
 Such then were the ways in which Mercator and Gregory ap- 
 plied these their very simple series a— Ia'^^ |a^ — |a* &c, and 
 A + |a^+ Ia'^ + Ja* ^q, for the purpose of computing logarithms. 
 But they might, as'^I apprehend, have applied them to this purpose 
 in a shorter and more direct manner, by computing, by their nicans, 
 only a few logarithms of small ratios, in which the terms of the series 
 would have decreased by the powers of 10 or some greater number, 
 the numerators of all the terms being unity, and their denominators 
 the powers of 10 or some greater number, and then employing these 
 few logarithms, so computed, to the finding of the logarithms of other 
 and greater ratios, by the easy operations of mere addition and sub- 
 traction. This might have been done for the logarithms of the ratios 
 of the first ten numbers, 2, 3, 4, 5, 6, 7? ^j 9> 10, and 1 1, to 1, in the 
 following manner, coinmunicated by Mr. Baron Maseres. 
 
 In the first place, the logarithm of the ratio of 10 to 9, or of 1 to ^^y 
 or of 1 to 1 — y^, is equal to the series 
 
 IX 10 ' 2x 100^3 X 1000~4x 10000^ 5 X 100000 
 
 In like manner are easily found the logarithms of the ratios of 
 
102 
 
 CONSTRUCTION OF 
 
 1 1 to 10 ; and then, by the same series, those of 121 to 120, and of 81 
 to 80, and of 2401 to 24< »0 ; in all which cases the series would con- 
 verge still faster than in the first two cases. We may then proceed by 
 mere addition and subtraction of logarithms, as follows : 
 
 121 _oT ii 
 
 ST — -i.. 9 , 
 
 1 Z I — f 1 ■> I i T 
 
 ?6 — ^- "5T r ^• 
 
 FQ 
 
 '■ -S-o 
 
 io 
 
 9 > 
 
 L. |=2L. 1, 
 
 T 80 T81 T8t 
 
 r 5 _- T 80 
 
 81 
 
 SO' 
 
 z 1 
 
 
 L. 4 = L.^^ 
 
 L. ? = L4 -L.4. 
 
 L.2401 =L.||§i -fL.2400, 
 L. 7=|L.2401, 
 L. 11=:L.V + L. 9, 
 L. 6=L. 2 4- L. 3. 
 
 Lot 
 L. 
 L. 
 L. 
 
 Having thus got the logarithm of the ratio of 2 to 1, or, in common 
 language, the logarithm of 2, the logarithms of all kinds of even 
 numbers may be derived from those of the odd numbers, which are 
 tlieir coefficients, with 2 or its powers. We may then proceed as 
 follows : 
 
 L. 4= 2L.2, L. 100 = 2L. 10, 
 
 L.10 = L^^+hA, L. 8 = 3L.2, 
 L. 9 = L.f -i-L.4,'L. 24 =: L.8 -|- L.3, 
 L. 3 =|L. 9,. I L. 2400 = L.lOO + L.24, 
 
 Thus we have got the logarithms of 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11. 
 And this is, on the whole, perhaps the best method of computing loga- 
 rithms that can be taken. There have been indeed some methods dis- 
 covered by Dr. Halley, and other mathematicians, for computing the 
 logarithms of the ratios of prime numbers to the next adjacent even 
 numbers, which are still shorter than the application of the foregoing 
 series. But those methods are less simple and easy to understand and 
 apply, than these series ; and the computation of logarithms by these 
 series, when the terms of them decrease by the powers of 10, or of 
 some greater number, is so very short and easy (as we have seen in the 
 foregoing computations of the logarithms of the ratios of 10 to 9? 1 1 to 
 10, 81 to 80, 121 to 120, &c,) that it is not worth while to seek for any 
 shorter methods of computing them. And this method of computing 
 logarithms is very nearly the same with that of Sir Isaac Newton, in his 
 second letter to Mr. Oldenburg, dated October 16^6, as will be seen in 
 the following article. 
 
 Of Sir Isaac Newton's -Methods. 
 
 The excellent Sir I. Newton greatly improved the quadrature of 
 the hyperbolical-asymptotic spaces by infinite series, deriv^ed from th6 
 general quadrature of curves by his method of fluxions ; or rather 
 indeed he invented that method himself, and the construction of lo- 
 garithms derived from it, in the year 1665 or 1666, before the pub- 
 lication of either Mercator's or Gregory's books, as appears by his 
 letter to Mr. Oldenburg, dated Oct. 24, 1676, printed in pa. 634 ei 
 seq. vol. 3, of Wallis's works, and elsewhere. The 
 quadrature of the hyperbola, thence translated, is to 
 this effect. Let dFD be an hyperbola, whose cen- 
 tre is c, vertex f, and interposed square cafe 
 = 1 . In CA take ab anfl Ab on each side — to 
 or 0-1 : And, erecting the perpendiculars bd, bd; 
 half the sum of the spaces ad and Ad will be 
 
 X- 
 
 V 
 
 C B AB 
 
LOGARITHMS. 103 
 
 0001 . 000001 . 0-0000001 „ 
 = 01+- ^ + — ^ + — ^— &c. 
 
 , ., . .r ..«. 0.01+00001 , 0000001 ,000000001 _ 
 
 and the half diff. = ■ &c. 
 
 '2 4^6^ 8 
 
 Which reduced will stand thus, 
 
 1'0000000000000,00050000000000 The sum of these 0" 1053605 156577 is Ad, 
 
 3333333333 250000000 and the differ. O 0953101798043 is ad, 
 
 20000000 1666666 . In hke manner, putting ab and Ab 
 
 142857 12500 each =0 2, there is obtained 
 
 1111 100 Ad =0 2231435513142, and 
 
 9 1_ AD =0.1823215567939. 
 
 0- 10033534773 10.0 005025T67 9267 
 
 Having thus the hyperbolic logarithms of the four decimal num- 
 
 1*2 1-2 
 bers 0-8, 0-9, 1-1, and 1*2; and since —— x -— =2, and OS and 
 
 0'9 are less than unity; adding their logarithms to double the loga- 
 rithm of 1-2, we have 0-6931471805597, the hyperbolic logarithm' of 
 2. To the triple of this adding the logarithm of 0*8, because 
 
 2x2x2 
 
 -— = 10, we have 2-3025850929933, the logarithm of 10. 
 
 0*0 
 
 Hence by* one addition are found the logarithms of 9 and 1 1 : And 
 thus the logarithms of all these prime numbers, 2, 3, 5, 11, are pre- 
 pared. Moreover, by only depressing the numbers above computed, 
 lower in the decimal places, and adding, are obtained the logarithms 
 of the decimals 0-98, 0-99, 1*01, 1*02 ; as also of these 0-998, 0*999, 
 J -001, 1-002. And hence, by addition and subtraction, will arise 
 the logarithms of the primes 7, 13, ]7j 37? &c. All which logarithms 
 being divided by the above logarithm of 10, give the common loga- 
 rithms to be inserted in the table. 
 
 And again, a few pages farther on, in the same letter, he resumes 
 the construction of the logarithms, thus : Having found, as above, 
 the hyperbolic logarithms of 10, 0-98, 0-9>), l-Ol, 1-02, which may 
 be effected in an hour or two, dividing the last four logarithms by the 
 logarithm of 1 0, and adding the index 2, we have the tabular loga- 
 rithms of 98, 99, 100, 101, 102. Then by interpolating nine means 
 between each of these, will be obtained the logarithms of all num- 
 bers between 980 and 1020 ; and again interpolating 9 means be- 
 tween e^'ery two numbers from 980 to 1000, the table will be so far 
 constructed. Then from these will be collected the logarithms of 
 all the primes under 100, together with those of their multiples; 
 all which will require only addition and subtraction; for 
 10,9984x1020 . 10 98 99 _ 1001 102 
 
 ^— 9-5i^-=^'2- = '^^¥ = ^'-9=''^7l^ = '^'-6- = '^ 
 
 9«^=19;,^ = 233;^ = 29;?^ = 31;?§ = 37;?^ = 41 
 
 4x13 '16x27 2x17 32 '27 24 
 
 989 „ 987 ^ 9911 ,„ 9971 ,^ 9882 ^, 9849 
 
 =43;— ^=47; =53: — =59; =61 : = 67 
 
 23 '27 '11X17 '13x13 '2X81 '3x49 ' 
 
 994_ 9928 9954 996 9968 9894 
 
 14-^^x17^^ '7x1l8~^ '12"^ ^7Xl6""^^'(iXl7'"^^' 
 
104 CONSTRUCTION OF 
 
 This quadrature of the hyperbola, and Its application to the con- 
 struction of logarithms, are still further explained by our celebrated 
 author in his treatise on Fluxions, published by Colson in 1736", 
 where he gives all the three series for the areas ad, Ad, Bd, in ge- 
 neral terms, the former the same as that published by Mercator, and 
 the latter by Gregory ; and he explains the manner of deriving the 
 latter series from the former, namely by uniting togetlier the two series 
 for the spaces on each side of an ordinate, bounded by other ordinates 
 at equal distances, every 2d term of each series is cancelled, and 
 the result is a series converging much quicker than either of the for- 
 mer. And, in this treatise on fluxions, as well as in the letter before 
 quoted, he recommends this as the most convenient way of raising a 
 canon of logarithms, computing by the series the hyperbolic spaces 
 answering to the prime numbers 2, 3, 5, 7> H? &c, and dividing 
 them by 2'3025850929940457, which is the area corresponding to 
 the number 10, or else multiplying them by its reciprocal 
 0'4342944819032518, for the common logarithms. "Then the 
 logarithms of all the numbers in the canon which are made by the 
 multiplication of these, are to be found by the addition of their lo- 
 garithms, as Is usual. And the void places are to be Interpolated 
 afterwards by the help of this theorem : Let n be a number to which 
 a logarithm is to be adapted, x the difference between that and the 
 two nearest numbers equally distant on each side, whose logarithms 
 are already found, and let d be half the difference of the logarithms ; 
 then the required logarithm of the numbers will be obtained by add- 
 
 fi T* /7 T* 
 
 ing d -\- — 4-T-T-i &c to the logarithm of the less number." This 
 
 theorem he demonstrates by the hyperbolic areas, and then proceeds 
 
 dx 
 thus : " The two first terms d + — - of this series I think to be accu- 
 
 2n 
 
 rate enough for the construction of a canon of logarithms, even 
 though they were to be produced to 14 or 15 figures; provided the 
 number whose logarithm is to be found be not less than 1000. And 
 this can give little trouble in the calculation, because x is generally 
 an unit, or the number 2. Yet it is not necessary to interpolate all 
 the places by the help of this rule. For the logarithms of numbers 
 which are produced by the multiplication or division of the number 
 last found, may be obtained by the numbers whose logarithms were 
 had before, by the addition or subtraction of their logarithms. 
 Moreover, by the differences of the logarithms, and by their 2d and 
 3d differences, if there be occasion, the void places may be more ex- 
 peditiously supplied; the foregoing rule being to be applied only when 
 the continuation of som.e full places is wanted, in order to obtain 
 those differences, ike." So that Sir I. Newton of himself discovered 
 all the series for the above quadrature which were found out, and after- 
 wards pubfished, partly by Mercator and partly by Gregory; and 
 these we may here exhibit in one view all together and that in 
 a general manner fpr any hyperbola, namely putting CA=a, AF 
 
LOGARITHMS. 
 
 105 
 
 =.b, and AB=:Ab = a?: then will bd=: — — -, 
 
 whence the areas are as below, viz. 
 
 bx^ . bx^ bx' , bx' , 
 
 bx^ , bx^ bx^ bx^ 
 
 and bdzz ; 
 
 a'\-x 
 
 Ad 
 Bd 
 
 2a 3 a" 4fr ba- 
 2bx^ . 2bx^ . 2bx'' . 2bx^ „ 
 
 In the same letter also, above quoted, to Mr. Oldenburg, our il-- 
 lustrious author teaches a method of constructing the trigonometrical 
 canon of sines, by an easier method of multiple angles than that be- 
 fore delivered by Briggs for the same purpose, because that in Sir 
 Isaac's way radius or 1 is the first term, and double the sine or cosine 
 of the first given angle is the 2d term of all the proportions by which 
 the several successive multiple sines or cosines are found. The sub- 
 stance of the method is thus : The best foundation for the construc- 
 tion of the tables of sines, is the continual addition of a given angle to 
 itself or to another given angle. As if the angle a be to be added; 
 
 A * •* E C G Q IS a L V N Y F 
 
 inscribe hi, ik, kl, lm, mn, no, op, &c, each equal to the radius ab; 
 and to the opposite sides draw the perpendiculars be, hq, ir, ks, lt, 
 Mv, NX, OY, &c; so shall the angle a be the common difference of 
 the angles hiq, ikh, kli, lmk, &c; their sines hq, ir, ks, &c ; 
 and their cosines iq, kr, ls, &c. Now let any one of them, lmk, 
 be given, then the rest will be thus found : Draw ra and Kb perpendi- 
 cular to sv and mv ; now because of the equiangular triangles abe, 
 TLa, KMb, ALT, AMv, &c, it wiU be, AB : ae : : KT : sa (=r|LV + |Ls) 
 : : LT : Ta (=:fMV + |Ks,) and ab : BE : : lt : La (=:iLs — |lv) : : kt 
 (i=|km) : I Mb (r:|MV— Iks.j Hence are given the sines and cosines 
 Ks, MV, LS, LV. And the method of continuing the progressions is 
 evident. Namely, 
 
 ^ Jlv : mt + MX : : MX ; NV + ny &c 
 
 as AB ; ^AE : : | ^^ . ^^ ^ ^^ : : NX : oy -{- mv &c 
 
 or AB-'^BE-- J^^ '^^^ ^^ ::mx:oy - mv &c 
 ' '^ |mv : mt — MX :: NX : NV— NY &c 
 And on the other hand, ab : 2ae : : ls : kt -}- kr, &c. 
 Therefore put ABrr 1, and make be X LTrrLa, ae x kt z= sa, sa— Laz: 
 
 LV, 2aE X LV — TM =: MX, &C, 
 
 The sense of these general theorems is this, that if P be any one 
 
JOG CONSTRUCTION OF 
 
 among a series of angles in arithmetical progression, the angle d being 
 their common difference, then as radius or 
 ■ ^, , C COS. F : COS. P -{- d + cos. P-cZ ^ 
 
 1 : - COS. a : : j^.^^^ p . ^j^^ p ^ d -f sin. P^d 
 
 r, - J f COS, P: sin. P -f <^ — sin. P— d 
 
 1 : ^ sm. ct : : j^j^ p . ^^^^ P + d ~ cos. P-d 
 
 where the 4th terms of these proportions are the sums or differences 
 of the sines or cosines of the two angles next less and greater than 
 any angle P in the series; and therefore subtracting the less extreme 
 from the •urn, or adding it to the difference, the result will be the 
 greater extreme, or the next sine or cosine beyond that of the term P. 
 And in the same manner are all the rest to be found. This method, 
 it is evident, is equally applicable wliether the common difference d, 
 or angle a, be equal to one term of the series or not : when it is one 
 of the terms, then the whole series of sines and cosines becomes 
 thus, viz, as 1 : 2 cos. d : : 
 
 sin. d : sin. 2d : : sin. 2i : sin. d-|-sin. 3d : : sin. 3d : sin. 2a+siri. 4d : : sin. 4.'3 : sin. 3(Z-|-sin. 5d &c. 
 COS. d : 1-j-cos. 2d : : cos. 2d : cos. d-f-cos. 3d : : cos. 3d : cos. 2d-f-cos. 4d : : cos. 4d : cos. Sd+c^' ^d &c. 
 
 which is the jvery method contained in the directions given by Abra- 
 ham Sharp, for constructing the canon of sines. 
 
 Sir I. Newton remarks, that it only remains to find the sine and 
 cosine of a first angle a, by some other method; and for this purpose, 
 he directs us to make use of some of his own infinite series: thus, by 
 them will be found 1*57079 ,&c for the quadrantal arc, the square of 
 which is 2'4694 &c ; divide this square by the square of the number 
 expressing the ratio of 90 degrees to the angle a, calling the quotient 
 
 z z^ z^ z* 
 
 z : then 3 or 4 terms of this series 1 — — 4- —- — —-: -f 77777^ &c, 
 
 2 24 720 40o20 / 
 
 will give the cosine of that angle a. Thus we may first find an 
 angle of 5 degrees, and thence the table maybe computed to the series 
 of every 5 degrees, then these intei-polated to degrees or half de- i 
 grees by the same method, and these interpolated again; and so on as 1 
 far as necessary. But two- thirds of the table being computed in this "* ■ 
 manner, the remaining third will be found by addition or subtraction 
 only, as is well known. 
 
 Various other improvements in logarithms and trigonometry are 
 ovv'ing to the same excellent personage; such as the series for ex- 
 pressing the relation between circular arcs and their sines, cosines, 
 versed sines, tangents, &c ; namely, the arc being a, the sine s, the 
 versed sine u, cosine c, tangent t, radius 1, then is 
 
 a = t —4/^4- it 
 s = a — ia^ 4- 
 
 a = t — \t^ -\' ^t^ ~ ^f 
 
 + 
 
LOGARITHMS. 107 
 
 Of Dr. Bailey's Method. 
 
 Many other improvements in the construction of logarithms are 
 also derived from the same doctrine of fluxions, as we shall show here- 
 after. In tlie mean time proceed we to the ingenious method of the 
 learned Dr. Edmund Halley, Secretary to the Royal Society, and the 
 second Astronomer Royal, having succeeded Mr. Flamsteed in that 
 honourable office in the year 1/19, at the Royal Observatory at 
 Greenwich, where he died the 14th of January 1742, in the 86th 
 year of his age. His method was first priiited in the Philosophical 
 Transactions for the year 1695, and is entitled " A most compendious 
 and facile method for constmcting the logarithms, exemplified and 
 demonstrated from the nature of numbers, without any regard to the 
 hyperbola, with a speedy method for finding the number from the 
 given logarithm." 
 
 Instead of the more ordinary definition of logarithms, as numerorum 
 proportionalium ccquidifferentes comites, in this tract our learned author 
 adopts this other, numeri vatlonem expojientes, as being better adapted 
 to the principle on which Logarithms are here constructed, where 
 those quantities are not considered as the logarithms of the numbers, 
 for example, of 2, or of 3, or of 10, but as the logarithms of the ra- 
 tios of 1 to 2, or 1 to .3, or 1 to 10. In this consideration he first 
 pursues the idea of Kepler and Mercator, remarking that any such 
 ratio is proportional to, and is measured by, the number of equal 
 ratiunculse contained in each ; which ratiunculoe are to be understood 
 as in a continued scale of proportionals, infinite in number, between 
 the two terms of the ratio ; which infinite number of mean propor- 
 tionals is to that infinite number of the like and equal ratiunculse be- 
 t<veen any other two terms, as the logarithm of the one ratio is to 
 the logarithm of the other: thus, if tliere be supposed l^etween I 
 and 10 an infinite scale of mean proportionals, whose number is 
 100000 &c in infinitum 5 then between 1 and 2 there will be 30102 
 &c of such proportionals; and between 1 and 3 there will be 47712 
 &c of them ; which numbers therefore are the logarithms of the ratios 
 of I to 10, 1 to 2, and 1 to 3. But for the sake of his mode of 
 constructing logarhhms, he changes this idea of equal ratiunculge, 
 fdr that of other ratiunculae, so constituted, as that the same in- 
 finite number of them shall be contained in the ratio of 1 to every 
 other number whatever; and that therefore these latter ratiunculse 
 will be of unequal or different magnitudes in all the different ratios, 
 and in such sort, that in any one ratio, the magnitude of each of the 
 ratiunculae in this latter case, will be as the number of them in the for- 
 mer. And therefore if between I and any number proposed, there 
 be taken any infinity of mean proportionals, the infinitely small augment 
 or decrement of the first of those means from the first term 1, will be 
 -a ratiuncula of the ratio of I to the said number; and as the num- 
 bers of all the ratiunculse in these continued proportionals is the same^ 
 
 P2 
 
108 CONSTRUCTION OF 
 
 their sum, or the whole ratio, will be directly proportional to the 
 magnitude of one of the said ratiunculte in each ratio. But it is also 
 evident that the first of any number of means, between 1 and any 
 number, is always equal to such root of that number, whose index is * 
 expressed by the number of those proportionals from 1 ; so if m denote 
 the number of proportionals from 1, then the first term after 1 will 
 be the mi\i root of that number. Hence the indefinite root of any 
 number being extracted, the differentiola of the said root from unity, 
 shall be as the logarithm of that number. So if there be required the 
 logarithm of the ratio of 1 to 1 + ^ ; the first term after 1 will be 
 
 X ... -^ 
 
 (l-f.j'yw, and therefore the required logarithm will be 'as (1 4-9)™— -1. 
 
 ^ , ,-. 1 1 l—m , 1 1— m l--2m ,„ 
 But, (l + y)^iszzl4— ^ + — . — — g^+~. -TT — . — ^^&c;or 
 
 by omitting the 1 in the compound numerators, as infinitely small 
 
 in respect of the infinite number ?n, the same series will become 
 
 1 1 —m „ 1 — m —2m , ,, 
 
 1 + — a -\ — . — — q^ 4 — . — — . — - — q^ &c, or by abbreviation it 
 m ^ m 2m ^ m 2m Sm ^ ' -^ 
 
 is 1 + — ^— TT-^^ + 7; — g^ :; — Q* &c. and hence, finding the 
 
 m ^ 2m ^ 3m ^ 4m ^ ' ° 
 
 differentiola by subtracting 1, the logarithm of the ratio of 1 to 1 +^ 
 is as — X (g' — iq'^ + ^q^ — iq^ + fq^ — iq^ &c.) Now the index m 
 
 Til 
 
 may be taken equal to any infinite number, and thus all the varieties 
 of scales of logarithms may be produced; so if m be taken 1000000 
 &c, the theorem will give Napier's logarithms; but if mbe taken equal 
 to 230258 &c, there will arise Briggs's logarithms. 
 
 This theorem being for the increasing ratio of 1 to I + q; if that 
 for the decreasing ratio of 1 to 1 — ^ be also sought, it will be ob- 
 tained by a proper change of the signs, by which the decrement of 
 the first of the infinite number of proportionals will be found to be 
 
 — into q + iq^ + 3^^ + iq^ &c, which therefore is as the logarithm 
 
 of the ratio of 1 to 1 — ^. 
 
 Hence the terms of any ratio being a and b, q becomes , or the 
 
 difference divided by the less term, when it is an increasing ratio ; or 
 
 q zz — X— when the ratio is decreasing or as h to a. Therefore the 
 
 logarithm of the same ratio may be doubly expressed ; for putting x 
 for the difference fe—a of the terms, it will be 
 
 . , 1 . X x'^ ^ x" x' ^ 
 
 either — into 4- — — -, -— &c, 
 
 m a 2a^ 3a^ 4a* 
 
 1 . X , x"^ , x^ , x^ ^ 
 or — into -r-H ~-\ — —r^-\-—-h &c. 
 
 But if the ratio of a to Z^ be supposed divided into two parts, namely, 
 
LOGARITHMS. 109 
 
 into the ratio of a to la + |6 or Iz, and the ratio of |,2 to b, then 
 
 will the sum of the logarithms of those two ratios, be the logarithms 
 
 of the ratio of a to b. Now by substituting in the foregoing series, 
 
 ' the logarithms of those two ratios will 
 
 , 1 . ^ , ^^ , -^^ , ^* , ^' o 
 
 he — into r + -:rTH r + -T-T «^c. 
 
 m z ^ 2z^ ^ 32^ ' 4.2* ^ 52^ 
 
 and — into rT+-irT — rT+-;-^ ^^J ^^^ hence the sum, 
 
 m z 22^ 32-^ 4z* 62* 
 
 1 . 2x , 2x^ , 2x^ , 2x^ . 2x9 o 
 
 or— into — ^ + -:7-T+-7-r + ^r7+TT-^ ^*^- 
 m z 3z^ 5z^ Iz' 92^ 
 
 will be the log. of the ratio of a to 6. 
 
 Moreover, if from the logarithm of the ratio of a to \% be taken 
 that of \% to />, we shall have the logarithm of the ratio of ab to \i^\ 
 and the half of this gives that of »yab to |2, or of the geometrical 
 mean to the arithmetical mean. And conseq lently the logarithm of 
 this ratio will be equal to half the difference of that of the above two 
 
 1 X^ T^ X^ OC^ 
 
 ratios, and will therefore be — into —-: + — — -J- — -g + ttt ^c. 
 
 The above series are similar to some that were before given by 
 Newton arid Gregory, for the same purpose, deduced from the con- 
 sideration of the hyperbola. But the rule which is properly our au- 
 thor's own is that which follows, and is derived from the series 
 above given for the logarithm of the sum of two ratios. For the 
 ratio of ab to ^z'^ or |a^ + ^ab + ^b^, having the difference of its 
 terms fa^ — iab +/ W or (fb — fa)- or Jj-, which in the case of 
 finding the logarithms of prime numbers is always 1, if we call the 
 sum of the terms iz'^ -\- ab — y\ the logarithm of the ratio of ^ab 
 to |a + |b or Iz will be found to be 
 
 And these rules our learned author exemplifies by some cases in 
 numbers, to show the easiest mode of application in practice. 
 
 Again, by means of the same binomial theorem he resolves with 
 equal facility the reverse of the problem, namely, from the logarithm 
 
 given, to find its number or ratio : For, as the logarithm of the 
 
 i 
 ratio of 1 to 1 + 9' was proved to be (1 -|- qy<' — 1, and that 
 
 of the ratio of 1 to 1 — g to be • • • 1 — (1 — q)m • hence, 
 
 calling the given logarithm L, in the former 
 
 i 
 case it will be (1 + q)m n 1 -|- l, 
 
 and in the latter (1 — y)'» = 1 — l ; 
 and therefore 
 and 
 
 ^ """ , L. >i that is, by the binomial theorem, 
 
 id 1 -^ =(1 -l)"' 3' ' ^ ' 
 
no CONSTRUCTION OF 
 
 and 1 — <y = 1 — WL 4- f ^»^ L^ — 6^"^ L^ -f- tV''*'^ ^^ "~ tIo'w^ l^ &c. 
 rn being any infinite index whatever, differing according to the scale ^ 
 of logarithms, being 1000 &c in Napier's or the hyperbolic loga- 
 rithms, and 2302585 &c in Briggs's. 
 
 If one term of the ratio, of which*L is the logarithm, be given, the 
 other term will be easily obtained by the same rule : For if l be Na- 
 pier's logofithm of the ratio of a the less term, to b the greater, then, 
 according as a or <^ is given, we shall have, 
 
 b = a into 1 -)- L + iL^ + {l" + ^V-' ^^• 
 a==b into 1 - l -\- W - 6^^ -r -h^' &c. 
 Hence, by help of the logarithms contained in the tables, may easily 
 be found the number to any given logarithm to a great extent. For 
 if the small difference between the given logarithm l, and the nearest 
 tabular logarithm, eith-^r greater or less, be called /, and the number 
 answering to the tabular logarithm a, when it is less than the given 
 logarithm, but b when greater ; it will follow, that the number an- 
 swering to the logarithm l, will be 
 
 either a into l -f Z + ip -f- fP + ^^-Z* + ■x-o^'. &c. 
 or b into 1 - Z + iZ'- - ^P -j- ^\l' - ^^l\ &c. 
 
 which series converge so quick, I being always very small, that the 
 first two terms 1 ± Z are generally sufficient to find the number to 
 10 places of figures. 
 
 Dr. Halley subjoins also an easy approximation for these series, by 
 which it appears, that the number answering to the log. is nearly 
 
 14iZ l—il , rinNapier's")?i + |Z n—U finBriggs's 
 
 1 — IZ 1 + |Z (^ logs, and J/i— |Z n + U I logs.5 
 
 where w is = 434294481903 &c = — . 
 
 Of Mr. Sharp's MetJiods. 
 
 The labours of Mr. Abraham Sharp, of Little Horton, near Brad- 
 ford in Yorkshire, in this branch of mathematics, were very great and 
 meritorious. His merit however consisted rather in the improvement 
 and illustration of the methods of former writers, than in the inven- 
 tion of any new ones of his own. In this way he greatly extended 
 and improved Dr. Halley's method, above described, as also those of 
 Mercator and Wallis; illustrating these improvements by extensive 
 calculations, and by them computing table 5 of this book, consisting 
 of the logarithms of all numbers to 100, and of all prime numbers to 
 1100, each to 61 places. He also composed a neat compendium of 
 the best methods for computing the natural sines, tangents, and se- 
 cants, chiefly from the rules before given by Newton ; and by New- 
 ton's or Gregory's series a ■= t — ^ i<^^ + ^t^ — jf &c, for the arc in 
 terms of the tangent, he computed the circumference of the circle to 
 72 places, namely from the arc of 30 degrees, whose tangent Hs = 
 v/i to the radius 1. Other astonishing instances of his industry and 
 
LOGARITHMS. Ill 
 
 labour appear in his Geometry Improved printed in I7l7j and signed 
 j4. S. Philomath, from whence the 5th table of logarithms above- 
 mentioned was extracted. This ingenious man was some time assist- 
 • ant at the Royal Observatory to Mr. Flamsteed the first Astronomer 
 Royal 'j and being one of the most accurate and indefatigable com- 
 puters that ever existed, he was for many years the common resource 
 for Mr. Flamsteed, Sir Jonas Moore, Dr. Halley, &c, in all intri- 
 cate and troublesome calculations. He afterwards retired to his na- 
 tive place at Little Horton ; where, after a life spent in intense study 
 and calculations, he died the 18th of July 1742, in the I) 1st year of 
 his age. 
 
 Of the Construction of Logarithms by Fluxions. 
 
 It appears by the very definition and description given by Napier 
 of his logarithms, as stated in page 42 of this Introduction, that the 
 fluxion of his, or the hyperbolic logarithm, of any number, is a fourth 
 proportional to that number, its logarithm, and unity ; or, which is 
 the same, that it is equal to the fluxion of the number divided by the 
 number: For the description shows that zl : za or I : : zl the flux- 
 
 ion of zl : sa, which therefore is =: — - ; but za is also equal to the 
 
 fluxion of the logarithm a &c, by the description ; therefore the flux- 
 
 zl 
 x.ion of the logarithm is equal to — , the fluxion of the quantity di- 
 vided by the quantity Itself. The same thing appears again at art. 2 
 of that little piece in the appendix to his Constructio Logarithmorumy 
 entitled Habitudines JLogarithmorum ^ suorum naturalium numerorum 
 invicem, where he observes that, as any greater quantity is to a less, 
 so is the velocity of the increment or decrement of the logarithms 
 at the place of the less quantity, to that at the greater. Now this 
 velocity of the increment or decrement of the logarithms being the 
 same thing as their fluxions, that proportion is this, x : a : : Rvlx. log, 
 «: flux. log. x; hence if a be :z: I, as at the beginning of the table 
 of numbers, where the fluxion of the logs, is the index or character- 
 istic c, which is also 1 in Napier's or the hyperbolic logarithms, and 
 43429 &c in Briggs's the same proportion becomes x : I :: c: flux, 
 log. X ; but the constant fluxion of the numbers is also 1, and there- 
 
 cx 
 fore that proportion is also this, x: x :: c: — = the fluxion of the 
 
 X 
 
 logarithm of x ; and in the hyperbolic logarithms, where c is = 1, it 
 becomes — = the fluxion of Napier's or the hyperbolic logarithm of 
 
 .r. This same property has also been noticed by many other authors 
 since Napier's time. And the same or a similar property is evidently 
 true in all the systems of logarithms whatever, namely, that the mo- 
 dulus of the system is to any number, as the fluxion of its logarithm 
 is to the fluxion of the number. 
 
112 CONSTRUCTION OF 
 
 Now from this property, by means of the doctrine of fluxions, 
 are derived other ways for making logarithms, which have been il- 
 lustrated by many writers on this branch, as Craig, John Bernouilli, 
 and almost all the writers on fluxions. And this method chiefly 
 consists in expanding the reciprocal of the given quantity in an in- 
 finite series, then multiplying each term by the fluxion of the said 
 quantity, and lastly taking the fluents of the terms ; by which there 
 arises an infinite series of terms for the logarithm sought. So, to 
 find the logarithm of any number n ; put any compound quantity 
 
 ror JN, as suppose 
 
 ,, „ -^- , N , . X X xr , x'x x^x „ 
 
 then the flux, of the loff. or — bemg — , — = — :; — &c, 
 
 ° N ° w-i-x n nn ^ ri n* 
 
 71 I X X X^ X X^ 
 
 the fluents give log. of n or I02:. of = — ^ -| :: &c. 
 
 11 — ' X X x^ x^ x^ 
 And writing— :p for x gives log. = :t &c. 
 
 '^ ° ° n n Iw- 3w^ ^n^ 
 
 Also, because — - — = I -j , or log. ■— — == — log. -^=—y 
 
 w ± X n ° n-^x ° n 
 
 theref. log. ;^:p-;= --+_-_+— &e. 
 andlog. = ^ ^__4- + &c. 
 
 And by adding and subtracting any of these series, to or from one 
 another, and multiplying or dividing their corresponding numbers, 
 various other series for logarithms may be found, converging much 
 quicker than these do. 
 
 In like manner by assuming quantities otherwise compounded for 
 the value of n, various other forms of logarithmic series may be 
 found by the same means. 
 
 Of Mr, Cotes's Logometria. 
 
 Mr. Roger Cotes was elected the first Plumian professor of astro- 
 nomy and experimental philosophy in the university of Cambridge, 
 January 1/06, which appointment he filled with the greatest credit, 
 till he died the 5th of June 17 16, in the prime of life, having not 
 quite completed the 34th year of his age. His early death was a 
 great loss to the mathematical world, as his genius and abilities were 
 of the brightest order, as is manifested by the specimens of his per- 
 formance given to the public. Among these are his Logometria, first 
 printed in number 338 of the Philosophical Transactions, and after- 
 wards in his Harmonia Mensuarum, published in 1722 with his other 
 works, by his relation and successor in the Plumian professorship, 
 Dr. Rvibert Smith. In this piece he first treats in a general way of 
 
- LOGARITHMS. 113 
 
 measures of ratios, wlilcli measures, he observes, are quantities of any 
 kind whose magnitudes are analogous to the magnitudes of the ratios, 
 these magnitudes mutuklly increasing and decreasing together in the 
 same proportion. He remarks, that the ratio of equality has no mag- 
 nitude, because it produces no change by adding and subtracting; 
 that the ratios of greater and less inequality, are of different affections ; 
 and therefore if the measure of the one of these be considered as po- 
 sitive, that of the other will be negative ; and the measure of the ra- 
 tio of equality nothing: That there are endless systems of these, 
 which have all their measures of the same ratios proportional to cer- 
 tain given quantities, called moduli, which he defines afterwards, and 
 the ratio of which they are the measures, each in its peculiar system, 
 is called the modular ratio, ratio modular'is, which ratio is the same in 
 all systems. He then adverts to logarithms, which he considers as 
 the numerical measures of ratios, and he describes the method of ar- 
 ranging them in tables, with their uses in multiplication and division, 
 raising of powers and extracting of roots, by means of the corre- 
 sponding operations of addition and subtraction, multiplication and 
 division. 
 
 After this introduction, which is only a slight abridgment of the 
 doctrine lon^ before very amply treated of by others, and particular- 
 ly by Kepler and Mercator, we arrive at the first proposition, which 
 has justly been censured as obscure and imperfect, seemingly through 
 an affectation of brevity, intricacy, and originality, without sufficient 
 room for a display of this qualification. I'he reasoning in this pro- 
 position, such as it is, seems to be something between that of Kepler 
 and the principles of fluxions, to which the quantities and expressions 
 are nearly allied. However, as it is my duty rather to narrate tlian 
 explain, I shall here exhibit it exactly as it stands. This proposition 
 is to determine the measure of any ratio, as for instance that of ac to 
 AB, and which is effected in this .nanner: Conceive the difference 
 
 Bc to be divided into inriumerable I ^ ^ ^ 
 
 very small particles, as fq, and a b p a c 
 
 the ratio between ac and ab into as many such very small ratios, as 
 between aq and ap: then if the magnitude of the ratio between aq 
 and AP be given, by dividing there will also be given, that of pq to 
 ap; and therefore, this being given, the magnitude of the ratio be- 
 
 PQ 
 tween aq and ap may be expounded by the given quantity — ; for 
 
 AP remaining constant, conceive the particle pq to be augmented or 
 diminished in any proportion, and in the same proportion will the 
 magnitude of the ratio between aq and ap be augmented or dimi- 
 nished : Also, taking any determinate quantity m, the same may be 
 
 Pq • PQ 
 
 expounded by m X — ; and therefore the quanthy MX— will be 
 
 the measure of the ratio between aq and a p. And this measure will 
 have divers magnitudes, and be accommodated to divers systems, ac- 
 
 Q 
 
114 CONSTRUCTION OF > 
 
 cording to the divers magnitudes of the assumed quantity m, which 
 therefore is called the modulus of the system. Now, lilce as the sum 
 of all the ratios aq to ap is equal to the proposed ratio ac to ab, 
 
 PQ 
 
 so the sum of all the measures MX — , found by the known methods, 
 
 AP ^ 
 
 will be equal to the required measure of the said proposed ratio. 
 
 The general solution being thus dispatched, from the general ex- 
 pression, Cotes next deduces other forms of the measure, in several 
 corollaries and scholia: as Ist, the terms ap, aq, approach the 
 nearer to equality as the small difference pq is less ; so that either 
 
 PQ. PQ, 
 
 M X — or M X — will be the measure of the ratio between aq 
 ap aq 
 
 and AP, to the modulus m. 2d, That hence the modulus m is to the 
 
 measure of the ratio between aq and ap, as either ap or aq is to 
 
 their difference pq. 3d, The ratio between ac and ab being 
 
 PQ 
 
 given, the sum of all the — will be given ; and the sum of all the 
 
 PQ 
 
 Jvi X — is as M : therefore the measure of any given ratio, is as the 
 
 modulus of the system from which it is taken. 4th, Therefore, in 
 every system of measures, the modulus will always be equal to the 
 m^sure of a certain determinate and immutable ratio; which there-^ 
 fore he calls the modular ratio. 5th, To illustrate the solution by an 
 example : let z be any determinate and permanent quantity, x a va- 
 riable or indeterminate quantity, and x its fluxion ; then, to find the 
 measure of the ratio between z-\-x and s— x, put this ratio equal 
 to the ratio between y and 1, expounding the number y by ap, its 
 fluxion y by pq, and 1 by ab : then the fluxion of the required 
 
 measure of the ratio between y and 1 is m x-. Now, for ?/, restore its^ 
 
 ¥ . 
 
 val. , and for y the flux, of that value, -i, so shall the flux, of 
 
 z—x "^ ' {z—xf 
 
 ■ Zz X S'X^ xV^ 
 
 the measure become 2 m X , or 2 m into — + —^ + — t-&c, 
 
 zz—xx Z Z^ Z^ 
 
 X X^ Sj^ 
 
 and therefore that measure will be 2m into f- ---,- + — -? &c. 
 
 z 2%^ 52^ 
 
 In like manner the measure of the ratio between I -{- u and 1 will 
 be found to be - - - - m into x) ■— ^v^ + Ivi^ — |r* &c. 
 And hence, to find the number from the logarithm given, he reverts 
 the series in this manner: If the last measure be called m, we 
 
 TYh 
 
 shall have — or q = u — ft;* + |i;^ — |t;* -f |/?5 ^^^ 
 
 M 
 
 therefore q*=z - ?r — v^ +t-^"'^ — J^'^ &e, 
 
 and Q^=: - - - t^- iv^ + ^v' &c, 
 
 andQ*n: ----- v*^2v^ &c, 
 
 and Q^= - - ^ - _ _ _ ^5 §.(,. 
 
LOGARITHMS, 11$ 
 
 then, 1)V aildiDg continually, we sliall have, 
 
 a + la'^ + W = V - ^^v"" + 4^ v^ &c, 
 
 a + ia^- + iaM--5^G*+^i^a^=z; &c, 
 that is t? = a -f- ^a^ + ia^ + aV »'^+ t2^ ^^ ^^- -'^'^^ therefore 
 the required ratio of 1 + r to 1, is equal to the ratio of 1 + q + 
 lo^ &c to I. Put now m zi m, or Q =:i 1, and the ahove will be- 
 come the ratio of 1 -i- ,J -f | -{- I + ^L. -f ^-^ 8cc to 1, for the con- 
 stant modular ratio. In like manner, if the ratio between 1 and 
 1 — V be proposed, the measure of this ratio will come out m into 
 
 ^ + fi''" + ii"^ + 5i^"^ &c; which being called ?/?, and — =: q, 
 
 M 
 
 that ratio will be the ratio of 1 to 1 — q 4" |q^— i'Q^ + ^Vq* &c. 
 And hence, taking w = m, or q — 1, the said modular ratio will 
 also be the ratio of 1 to 1 — 4- + i ^ "^ + -2V — tt5 &c. And the 
 former of those expressions, for the modular ratio, comes out 
 the ratio of 2,7182818128439 ac to 3, and the latter the ratio of 
 1 to 0,36*7879441171 &c, which num])er is the reciprocal of the 
 former. 
 
 jn the 2d prop, the learned author gives directions for construct- 
 ing Briggs's canon of logarithms^ namely, fir^t by the general series 
 
 2Mint©L-| ^ -f. ___ &c, finding the logarithms of a few such 
 
 ratios as that of 126 to 125, 225 to 224, 2401 to 2400, 4375 to 
 4374, &c, from whence the logarithm of 10 will be found to be 
 2,302585092994 he, when m is, 1 ; but since Briggs's log. of 10 is 
 1, therefore as 2,302585 &c is to the modulus 1, so is 1 (Briggs's logi 
 of 10) to 0,434294481903 &c, which therefore is the modulus of 
 Briggs's logarithms. Hence he deduces the logarithms of 7? 5, 3, 
 and 2. In like manner are the logarithms of other prime numbers 
 to be found, and from them the logarithms of composite numbers by 
 addition and subtraction only. 
 
 Cotes then remarks, that the first term of the general series 2 m into 
 
 " + -^ •\ r &c, will be sufficient for the los^arithms of interme- 
 
 diate numbers between those in the table, or evei;i, for n ..: rs be- 
 yond the limits of the table. Thus, to find the logarithm ering 
 to an intermediate number^ let a and e be two numbers, the one 
 the given number, and the other the nearest tabular number, a being 
 the greater, and e the less of them ; put % ■=. a -^ e their sunj, x ir 
 a — e their difference, A r: the logarithm of the ratio of a to €>, 
 that is the excess of the logarithm of a above that of e: so shall the 
 
 said difference of their logarithms be A zr 2 m X - very nearly. 
 
 z 
 
 And, if there be required the number answering to any given inter- 
 mediate logarithm, because A is r: 
 
 2mx 2mx 2Ma^ ■ ■ Xd xe 
 
 ~ or , therefore x zz -~ or very nearly. 
 
 z 2«— Qe-i-x M-f|A M — fA '' ^ 
 
 Q2 
 
116 
 
 CONSTRUCTION OF 
 
 In the 3d prop, the ingenious author teaches how to convert the 
 canon of logarithms into logarithms of any other system, by means of 
 their moduli. And, in several more propositions, he exemplifies the 
 c^non of logaritlims in the solution of various important problems 
 in geometry and physics ; such as the quadrature of the hyperbola, 
 the description of the logistica, the fequi-angular spiral, the nautical 
 meridian, &c ; the descent of bodies in resisting .mediums, the 
 density of the atmosphere at any altitude, &c, &c. 
 
 Of Dr. Taylor's Construction of Logarithms, 
 
 Dr. Brook Taylor (a very learned mathematician, and secretary to 
 the Royal Society, v/ho died at Somerset-house, Nov. 1731) gave 
 the following method of constructing logarithms, in number 352 of 
 the Philosophical Transactions. His method is founded on these 
 three considerations : 1st, that the sum of the logarithms of any two 
 numbers is the logarithm of the product of those numbers; 2d, that 
 the logarithm of 1 is nothing, and consequently that the nearer any 
 number is to 1, the nearer will its logarithm be to ; 3d, that the 
 product of two numbers or factors, of which the one is greater, and 
 the other less than 1 , is nearer to 1 than that factor is which is on 
 the same side of 1 witli itself; so of the two numbers f and f, tlie 
 product ~ is less than 1, but yet nearer to it than f is, which is also 
 less than 1. On these principles he founds the present approxima- 
 tion, which he explains by the following example. To find the 
 relation between the logarithms of 2 and 10 : In order to this, he 
 
 1 '^8 8 *^^ 2^ 
 
 assumes two fractions, as -^^ and — , or-^and— , whose nume- 
 100 10 10^ 10' 
 
 rators are powers of 2, and their denominators powers of 10, the one 
 
 fraction being greater and the other less than unity or 1. Having 
 
 set these two down, in the form of decimal fractions, below each 
 
 other, in the first column of the following table, and in the second 
 
 column A and b for their logarithms, expressing by an equation how 
 
 1/280000000000 
 
 V ::= . . = 
 
 • 7^2- 
 
 2/10 
 
 /2 -7 0,28 
 
 0,800000000000 
 
 U = . . == 
 
 3Z2- 
 
 no 
 
 /10,33 
 
 1,024000000000 
 
 C = A -{- B = 
 
 10Z2- 
 
 3/10 
 
 •70,300 
 
 0,99035'2031429 
 
 D=: B -j- 9C = 
 
 93/2- 
 
 28/10 
 
 2.0,30107 
 
 1,004336277064 
 
 E = C -f 2d = 
 
 169/2- 
 
 59/10 
 
 "70,301020 
 
 0,998959536107 
 
 F = D -f- 2e = 
 
 485/2 - 
 
 146/10 
 
 A 0,3010309 
 
 1,000162894165 
 
 G = E -j- 4f — 
 
 2136/2- 
 
 643/10 
 
 y 0,30102996 
 
 0,999936281874 
 
 H =: P 4- 6g r= 
 
 13301/2- 
 
 4004/10 
 
 ^0,301029997 
 
 1,000035441215 
 
 I = G 4- 2h = 
 
 28738/2- 
 
 8651/10 
 
 ■70,3010299951 
 
 0,999971720830 
 
 K= H -f- I = 
 
 42039/2- 
 
 12655/10 
 
 210,3010299959 
 
 1,000007161046 
 
 L = I -f- K = 
 
 70777/2- 
 
 21306/10 
 
 ■7 0,30102999562 
 
 0,999993203514 
 
 M = K 4- 3l = 
 
 254370/2- 
 
 76573/10 
 
 Z. 0,30102999567 
 
 1,000000364511 
 
 N = L -j- M = 
 
 325147/2- 
 
 97879/10 
 
 7 0,3010299956635 
 
 0,999999764687 
 
 = M -j- 18 N =6107016^2- 
 
 L 838335/10 
 
 Z. 0,3010299956640 
 
 comp.ar. 2.^^53 13 
 
 
 
 , 
 
 
 0— 3fi451lO' -{-2l3r,313N =230'2r,8582 
 
 518712 — 693147400972^1 
 
 •7 0,301029995663987 
 
LOGARITHMS. llf 
 
 1^\ey are composed of tlie logarithms of 2 and 10, tlie numbers in 
 question, those logarithms being denoted thus, l2 and llO. Then 
 multiplying the two number^ in the first column together, there is 
 produced a third num])er 1,024, against which is written c, for its 
 logarithm, expressing likewise by an equation in what manner c is 
 formed of the foregoing logarithms a and b. And in the same man- 
 ner the calculation is continued throughout; only observing this 
 compendium, that before multiplying the two last numbers already 
 entered in the table, to consider what power of one of them must 
 be used to bring the product the nearest that can be to unity. Now 
 after having continued the table a little way, this is found by only 
 dividing the differences of the numbers from unity one by the other, 
 and taking the nearest quotient for the index of the power sought. 
 Thus the second and third numbers in the table being 0,8 and 1,024, 
 their differences from unity are 0,200 and 0,024; hence 0,200— 
 0,024 gives 9 for the index; and therefore multiplying the 9th 
 power of 1,024 by 0,8 produces the next number 0,990352031429, 
 whose logarithm is jdzzb + 9c. 
 
 When the calculation is continued in this manner till the numbers 
 become small enough, or near enough to 1, the last logarithm is 
 supposed equal to nothing, which gives an equation expressing the 
 relation of* the logarithms, and from thence the required logarithm is 
 determined. Thus, supposing gzzO, we have 
 213672 — 643/10 — 0, and hence, because the logarithm of 10 is 1, 
 
 643 
 we obtain 12= — ;!- = 0,30102996, too small in the last figure 
 
 only ; which so happens, because the number corresponding to g is 
 greater than 1. And in this manner are all the numbers in the third 
 or last column obtained, which are continual approximations to the 
 logarithm of 2. 
 
 There Is another expedient, which renders this calculation still 
 shorter, and it is founded on this consideration : that when x is small, 
 
 (l+a;)'* is nearly =l-{-nx. Hence if l+a? and 1 — 2: be the two 
 last numbers already found in the first column of the table, the 
 
 product of their powers (1+a?)"* X (l — s)^ will be nearly z=l; and 
 
 hence the relation of m and n may be thus found, (1 +a7)"*x(l— s)" 
 
 is nearly =:(1 -\-mx) X (1 —nz) iz: 1 -{-mx-^nz—mnxz ir 1 +??ijr--wx 
 
 nearly, which being also = 1 nearly, therefore 7n:n:: z :x:: 
 
 l.{l^z):l.{i-\-x)', whence xl {l'-z) + zl{l + x) = 0. For example, 
 
 let 1,024 and 0,990352 be the last numbers in the table, their 
 
 logarithms being c and d: here we have 1,024 = 1+0?, and 
 
 0,990352 = 1—2; consequently, .r=0,024, and 2=0,009648, and 
 
 z . . 201 
 
 hence the ratio ~ In small numbers Is . So that, for finding the 
 
 X 500 ' ^ 
 
 logarithms proposed, we may take 500 d + 201c = 485 10?2 — 14603/10 
 
us 
 
 CONSTRUCTION Oh^ 
 
 =0; which gives Z2=:0,S01030T. And in this manner are found the 
 numbers J^n the last line of the table. 
 
 Of Mr. Long's' Method, 
 
 In number 339 of the Philosophical Transactions, are givcH a 
 brief table and method for finding the logarithm to any number, and 
 the number to any logarithm, by Mr. John Long, B.D. Fellow of 
 C. C. C. Oxon. This table and method are similar to those described 
 in chap. 14, of Briggs's Arith. Logar, differing only in this, that in 
 this table, by Mr. Long, the logarithms, in each class, are in arith- 
 metical progression, the common difference being 1 ; but in Briggs's 
 little table, the column of natural numbers has the like common dif- 
 ference. The table consists of eight classes of logarithms, and their 
 corresponding numbers, as follow : 
 
 Lo. 
 ,9 
 
 Nat. Numl). 
 
 Log. 
 
 Nat. Numb. 
 
 Lc)^. 
 
 Nat. Nuiii'-i. 
 
 ; Log. 
 
 Nat. iNu'Vil;. 
 
 7,943282347 
 
 ,009 
 
 1, 02093 l'4B4 
 
 ,00009 
 
 1,000207254 
 
 1,0000009 
 
 l,000O0-.>072 
 
 ,8 
 
 6,309573445 
 
 8 
 
 1,018591388 
 
 8 
 
 1,0001-84224 
 
 8 
 
 1,000001842 
 
 ,7 
 
 5,011872336 
 
 7 
 
 1,016248694 
 
 7 
 
 1,000161194 
 
 7 
 
 !, 000001611 
 
 ,6 
 
 3,981071706 
 
 6 
 
 1,013911386 
 
 6 
 
 1,000138165 
 
 6 
 
 i, 000001381 
 
 ,5 
 
 3,162277660 
 
 5 
 
 1,011579454 
 
 ^5 
 
 1,000115136 
 
 5 
 
 1,000001131 
 
 ,4 
 
 2,511886432 
 
 4 
 
 1,009252886 
 
 4 
 
 1,000092106 
 
 4 
 
 1,0000009:^1 
 
 ,3 
 
 1,995262315 
 
 3 
 
 1,006931669 
 
 3 
 
 1,000069080 
 
 3 
 
 1,000000690 
 
 ,2 
 
 1,584893193 
 
 2 
 
 1,004615794 
 
 2 
 
 1,000046053 
 
 2 
 
 I5OOOOOO46O 
 
 ,1 
 
 1,258925412 
 
 1 
 
 1,002305238 
 
 1 
 
 1,000023026 
 
 1 
 
 1,000000230 
 
 ,09 
 
 1,230268771 
 
 ,0009 
 
 1,002074475 
 
 ,000009 
 
 1,000020724 
 
 ,00000009 
 
 1,000000207 
 
 S 
 
 1,202264435 
 
 8 
 
 1,001843766 
 
 8 
 
 1,000018421 
 
 8 
 
 1,000000184 
 
 7 
 
 1,174897555 
 
 7 
 
 1,001613109 
 
 7 
 
 1,000016118 
 
 7 
 
 1,000000161 
 
 6 
 
 1,14815362] 
 
 6 
 
 1,001382506 
 
 6 
 
 1,000013816 
 
 6 
 
 1,000000138 
 
 5 
 
 1,122018454 
 
 5 
 
 1,001151956 
 
 5 
 
 1,000011513 
 
 5 
 
 1,000000115 
 
 4 
 
 1,096478 196 
 
 4 
 
 1,000921459 
 
 4 
 
 1,000009210 
 
 4 
 
 1,000000092 
 
 3 
 
 I,07l519b05 
 
 3 
 
 1,000691015 
 
 3 
 
 1,000006908 
 
 3 
 
 1,000000069 
 
 •2 
 
 1,047128548 
 
 2 
 
 1,000460623 
 
 2 
 
 l,OOft0O46O5 
 
 2 
 
 1,000000046 
 
 1 
 
 1,023292992 
 
 3 
 
 1,000230285 
 
 1 
 
 1,000002302 
 
 1 
 
 1,000000023 
 
 where, because the logarithms in each class are the continual mul- 
 tiples 1, 2, 3, &c. of the lowest, it is evident that the natural num- 
 bers are so many scales of geometrical proportionals, the lowest be- 
 ing the common ratio, or the ascending numbers are the 1, 2, 3, &c, 
 powers of the lowest, as expressed by the figures 1, 2, 3, &c, of their 
 corresponding logarithms. Also the last number in the first, sepond, 
 third, &c, class, is the 10th, 100th, 1000th, &c, root of 10; and any 
 number in any class is the 10th powder of the corresponding number in 
 the next following class. 
 
 To find the logarithm of any number, as suppose of 2000, by this 
 table, look in the first class for the number next less than the 
 first figure 2, and it is 1,995262315, against which is 3 for the 
 first figure of the logarithm sought. Again, dividing 2, the number 
 
LOGARITHMS. Hi 
 
 proposed, hy 1,995262315, the number found in the table, the quo- 
 tient is 1,002374467; which being looked for in the second class 
 of the table, and finding neither its equal nor a less, is therefore 
 to be taken for the second figure of the logarithm ; and the same 
 quotient 1,002374467 being looked for in the third class, the next 
 less is there found to be 1,002305238, against which is 1 for the third 
 figure of the logarithm; and dividing the quotient 1,002374467 by the 
 said next kss number 1,002305238, the new quotient is 1,000069070; 
 which being sought in the fourth class gives 0, but sought in the 
 fifth class gives 2, which are the fourth and fifth figures of the 
 logarithm sought: again, dividing the last quotient by 1 ,000046053, 
 the next less number in the table, the quotient is 1,000023015, 
 which gives 9 in the 6th class for the 6th figure of the logarithm 
 sought: and again dividing the last quotient by 1,000020724, the 
 next less number, the quotient is 1,000002291? the next less than 
 which, in the 7th class, gives 9 for the 7th figure of the logarithm: 
 and dividing the last quotient by 1,000002072, the quotient is 
 1,000000219, which gives 9 in the 8th cjass for the 8th figure of 
 the logarithm: and again the last quotient 1,000000219, being di- 
 vided by l,OO00Q02O7, the next less, the quotient 1,000000012 gives 
 5 in the same 8th class, v/hefi one figure is cut off, for the 9th figure 
 of the logarithm sought. All which figures collected together give 
 3,301029995 for Briggs's logarithm of 2000, the index 3 being sup- 
 plied ; which logarithm is true in the last figure. 
 
 To find the number answering to atly given loga- 
 rithm, as suppose to 3,30101300 : omitting the cha- 
 racteristic, against the other figures 3, 0, 1, 0, 3, 0, 0, 
 as in the first column in the margin, are the several 
 numbers as in the 2d column, found from their re- 
 spective 1st, 2d, 3d, &c classes; the effective num- 
 bers of which multiplied continually together, the 
 last product is 2,000000019966, which, because 
 the characteristic is 3, gn^s 2000,000019966, or 2000 only, for the 
 required number, answering to the given logarithm. 
 
 Of Mr, Jones's Method 
 
 In the .61st volume of the Philosophical Transactions, is a small 
 paper on logarithms, which had been drawn up, and left unpublislied 
 by the learned and ingenious William Jones, Esq. The method con- 
 tained in this memoir, depends on an application of the doctrine of 
 fiuxions, to some properties drawn from the nature of the exponents 
 of powers. Here all numbers are considered as some certain powers 
 of a constant determinate root: so, any number x may be considered 
 
 as the z power of any root r, or that x~r~ is a general expression 
 for all numbers, in terms of the constant root r, and a variable expo- 
 nent z. Now the index z being the logarithm of the number :r, 
 therefore, to find this logarithm, is the same thing, as to find what 
 power of the radical r is equal to the number ,r. 
 
 1,995262315 
 
 
 
 1,002305238 
 
 
 
 1 ,000069080 
 
 
 
 
 
120 CONSTRUCTION OF 
 
 From tliis principle, tlie relation between the fluxions of any 
 number, .r, and its logarithm .^5 is thus determined; Vut rzzi+n; 
 
 then is j7 = ?• = (1 + n) , and x + x ;= {I + nf = (1 + nf x 
 
 (1 -f w)^ = ^ X (1 + nf, which by expanding (l-h^if, omitting the 
 
 n 
 
 2d, 3d, &c powers of %, and writing q for — — , becomes 
 
 w + xzy. iq+lq^^ iq^ + |g* &c ; 
 
 therefore x^axz, putting a for the series q-\-lq^^ Iq^ &c, 
 
 oyfx=Xz, putting/=:-. 
 
 Now when ?- = 1 4 »i = 10, as in the common logarithms of 
 
 Briggs's form; then «rz9, ^=:,9, and the series q -{- Iq"" -\- \q^ 
 
 &c, gives a = 2,302585 &c, and therefore its reciprocal /= 
 
 ,434294 &c. But if ci = 1 zzlJ', the form will be that of Napier's 
 
 logarithms. 
 
 r- 
 
 From the above form xz:=:fx, or ji=:— , are then deduced many 
 
 X 
 
 curious and general properties of logarithms, with tlie several series 
 heretofore given by Gregory, Mercator, Wallis, Newton, and 
 Halley. But of all these series, that one which our author selects 
 
 for constructing the logarithms, is this, putting Nzz-^~, the 
 
 r-i-p 
 
 logarithm of — is =z2/x :N+iN^ + }N^ + flV^ &<., in the 
 
 case in which r—p is r=], and consequently in that case 
 
 iV=- or J ; which series will then converge very fast. 
 
 Hence, having given any numbers, p, q, r, &c, and as many 
 
 ratios tt, b, c, &c, composed of them, the difference between the 
 
 two terms of each ratio being 1 ; as also t^e logarithms Jl, B, C, &c 
 
 of those ratios given : to find the logarithms P, Q, R, 8cc of those 
 
 numbers; supposing fzzl. For instance, if p zz 2, $' == 3, r zz5; 
 
 9 3^ 16 2* 25 5^ 
 
 andazz-r: — , bzz — =:— , czn—zz — -. Now the logarithms y^, 
 8 2'' 15 3.5' 24 3.2^ ^ ' 
 
 j&, C, of these ratios a, b, f, being found by the above series, from 
 
 the nature of powers we have these three equations, 
 
 A=2QSP ^ which equa- (P = SA + 4B + 2C = log. of 2. 
 
 £=z4P-^ Q— R V tions re- <Q = 5 J + 6^ + 3C = log. of 3. 
 e=z27?- Q~3Pj duced give [R = 7^ + 9Z? + 5C = log. of 5. 
 
 And hence P + JR = lO^i + I3i? 4- 7Cis = the logarithm of 
 2 X 5 or 10. 
 
 An elegant tract on logarithms, as a comment on Dr. Halley 's 
 method, was also given by Mr. Jones, in his Synopsis Palmariorum 
 Matheseos, published in the year 17O6. And, in the Philosophical 
 Transactions, he communicated various improvements in goniome- 
 
LOGARITHMS. 121 
 
 trjcal properties, and the series relating to the circle and to trigono- 
 metry. 
 
 The memoir above described was delivered to the Royal Society 
 by their then librarian, Mr. John Robertson, a worthy, ingenious, 
 and industrious man ; who also communicated to the Society several 
 little tracts of his own relating to logarithm ical subjects; he was 
 also the author of an excellent Treatise on the Elements of Naviga- 
 tion in two volumes ; and he was successively mathematical master to 
 Christ's hospital in London ; to the royal naval academy at Portsmouth; 
 and librarian, clerk, and house-keeper 'to the Royal Society ; at whose 
 house, in Crane-Court, Fleet-Street, he died in 177^'? ^g^d 64 
 years. 
 
 And among the papers of Mr. Robertson, I have, since his death, 
 found one containing the following particulars relating to Mr. Jones, 
 which I here insert, as I know of "no other account of his life, &c, 
 and as any true anecdotes of such extraordinary men must always be 
 acceptable to the learned. This paper is not in Mr. Robertson's hand 
 writing, but in a kind of running law-hand, and is signed R. M. 
 12 Sept. 1771. 
 
 *' William Jones, Esq. F. R. S. was born at the foot of Bodavon 
 mountain [Mynydd Bodafon], in the parish of Llansihangel tre'r 
 Bardd, in the isle of Anglesey, North Wales, in the year 1675. 
 His father John George * was a farmer of a good family, being 
 descended from Hwfa ap Cynddelw, one of the fifteen tribes of North 
 Wales. He gave his two sons the common school education of the 
 country, reading, writing, and accounts, in English, and the Latin 
 grammar. Harry his second son took to the farming business ; but 
 William the eldest, having an extraordinary turn for mathematical 
 studies, determined to try his fortune abroad from a place where the 
 same was but of little service to him; he accordingly came to Lon- 
 don, accompanied by a young man, Rowland Williams, afterwards 
 an eminent perfumer in Wych-Street. The report in the country 
 is, that Mr. Jones soon got into a merchant's counting-house, and 
 so gained the esteem of his master, that he gave him the command 
 of a ship for a West-India voyage ; and that upon his return he set 
 up a mathematical school, and published his book of navigation f J 
 and that upon the death of the merchant he married his widow : that 
 Lord Macclesfield's son being his pupil, he was made secretary to the 
 chancellor, and one of the D. tellers of exchequer — and they have 
 a story of an Italian wedding which caused great disturbance in 
 Lord Macclesfield's family, but compromised by Mr. Jones ; which 
 
 * " It is the custom in several parts of Wales for the name of the father to become the sur- 
 name of his children. John George the father was commonly called Slon Siors of Llambabo, 
 to which parish he moved, and where his children were brought up." 
 
 "f- This tract on navigation, entitled, *' A new Compendium of the whole Art of Practical 
 Navigation," was published in 1702, and dedicated " to the reverend and learned Mr. John 
 Harris, M. A. and F. R. S." the author, I apprehend, of the " Universal Dictionary of Arts 
 and Sciences," under whose roof Mr, Jones says he composed the said treatise on Navi- 
 gation. 
 
 R 
 
122 CONSTRUCTION OF 
 
 gave rise to a saying, that Macclesfield was the making of Jones, and 
 Jones the making of Macclesfield." 
 
 Mr. Jones died July 3, 1749? being vice-president of the Royal 
 Society : and left one daughter, and a son, born in 1748, who was the 
 late Sir William Jones, one of the judges in India, and highly esteemed 
 for his great abilities and extensive learning ; and who died in India, 
 in the year 1794. 
 
 Euler's method given in his Introd. in Anal. Infinit. is much the 
 same, in manner and effect, as that of Mr. Jones, given above. 
 
 Of Mr. Andrew Reid and Others. 
 Andrew Reid, Esq. published in 1767 a quarto tract, under the 
 title of An Essay on Logarithms, in which he also shows the compu- 
 tation of logarithms from principle^ depending on the binomial theo- 
 rem and the nature of the exponents of powers, the logarithms of 
 wimbers being here considered as the exponents of the powers of 10. 
 He hence brings out the usual series for logarithms, and largely 
 exemplifies Dr. Halley's most simple construction. 
 
 Besides the authors whose methods have been here particularly 
 described, many others have treated on the subject of logarithms, and 
 of the sines, tangents, secants, 8ic; among the principal of whom 
 are Leibnitz, Euler, Maclaurin, Wolfius, and professor Simson in 
 an elegant geometrical tract on logarithms, contained in his posthu- 
 mous works, elegantly printed in 4to. at Glasgow, in the year l776j 
 at the expense of the veiy learned Earl Stanhope, and by his Lord- 
 ship disposed of in presents atmong gentlemen most eminent for ma- 
 thematical learning. 
 
 Of Mr. Dodson's Anti-logarithmic Canon. 
 The only remaining considerable work of this kind published, that 
 
 I know of, is the Antl -logarithmic Canon of Mr. James Dodson, an 
 ingenious mathematician, and sometime master of the Royal Mathe- 
 matical School, in Christ's Hospital, London : which work he pub- 
 lished in folio in the year 1742 : a veiy great performance, containing 
 all logarithms under 1 00000, and their corresponding natural numbers 
 to 1 1 j)laces of figures, with all their differences and the proportional 
 parts ; the whole arranged in the order contrary to that used in the 
 common tables of numbers and logarithms, the exact logarithms being 
 here placed first, and increasing continually by 1, from 1 to 100000, 
 with their corresponding nearest numbers in the columns opposite to 
 them ; and by means of the differences and proportional parts, the 
 logarithm to any number, or the number to any logarithm, each to 
 
 II places of figures, is readily found. This work contains also, be- 
 sides the construction of the natural numbers to the given logarithms, 
 " precepts and examples, showing some of the uses of logarithms, 
 in facilitating the most difficult operations in common arithmetic, 
 cases of interest, annuities, mensuration, &c; to which is prefixed 
 an introduction, containing a short account of logarithms, and of 
 the most considerable improvements made, since their invention, in the 
 manner of constructing them," 
 
LOGARITHMS. 123 
 
 The manner in which these numbers were constructed, consists 
 chiefly in imitations of some of the methods before described by 
 Briggs, and is nothing more than generating a scale of 100000 geo- 
 metrical proportionals, from 1 the least term to 10 the greatest, each 
 continued to 11 places of figures; and the means of effecting this, 
 are such as easily flow from the nature of a series of proportionals, 
 and are briefly as follow. First, between 1 and 10, are interposed 9 
 mean proportionals ; then between each of these 1 1 terms there are 
 interposed 9 other means, making* in all 101 terms; then between 
 each of these a ^d set of 9 means, making in all 1001 terms; again 
 between each of these a 4th set of 9 means, making in all 10001 
 terms ; and lastly, between each two of these terms, a 5th set of 9 
 means, making in all 100001 terms, including both the 1 and the 
 10. The first four of these 5 sets of means, are found each by one 
 extraction of the 10th root of the greater of the two given terms, 
 which root is the least mean, and then multiplying it continually by 
 itself according to the number of terms in the section or set ; and the 
 5th or last section is made by interposing each of the 9 means by 
 help of the method of differences before taught. Namely, putting 
 10 the greatest term 
 
 I_ I_ T_ I_ 1_ 
 
 n A, a"^° = b, b'*" = c, 0"^° =zD, 1)^° = E, and e"^° = f ; now ex- 
 tracting the 10th root of a or 10, it gives 1,2589254118 = b = 
 
 I 
 a"^ for the least of the 1st set of means; and then multiplying 
 it continually by itself, we have b, b% b^, b*, &c, to b" =. a, 
 for all the 10 terms: 2dly, the 10th root of 1,2589254118 gives 
 
 1,0232929923 = err b^^=:a^°"°, for the least of the 2d class of 
 means, which being continually multiplied gives c, c% c', &c, to 
 c'°* = b'° =: A for all the 2d class of 100 terms: 3dly, the 10th root 
 
 of 1,0232929923 gives 1,0023052381 = d = c"^'^ =: b'^^^ = a'*"^'^'^ 
 for the least of the 3d class of means, which being continually 
 multiplied, gives d, d% d^ &c, to d'°°° = c'°'' == b'° = a for the 
 Sd class of 1000 terms : 4thly, the 10th root of 1,0023052381 
 
 gives 1,0002302850 .— e = D^* zic'^^'' =b^ 
 least of the 4th class of means, which being continually multiplied, 
 gives E, E% E^ &c, to E^'^^^^ =: d^°°° = c'°^ = b^° = a for the 4th 
 class of 10000 terms. Now these ^ classes of terms, thus produced, 
 require no less than 11110 multiplications of the least means by 
 themselves : which however are much facilitated by making a small 
 table of the first 10 or even 100 products of the constant multiplier, 
 and from thence only taking out the proper lines and adding them 
 together: and these 4 classes of numbers always prove themselves at 
 every IQth term, which must always agree with the corresponding 
 successive terms of the preceding class. The remaining 5th class is 
 constructed by means of differences, being much easier than the 
 method of continual multiplication, the 1st and 2d differences only 
 being used, as the 3d difference is too small to enter the computation 
 of the sets of 9 means between each two terms of the 4th class. 
 
 R2 
 
124 
 
 CONSTRUCTION OF LOGARITHMS. 
 
 Terras 
 
 1st dif. 
 
 2d dif. 
 
 3d dif. 
 
 &c 
 
 1 X 
 
 (r~i)X 
 
 (r-l)*X 
 
 (r-lj3x 
 
 
 1 
 r 
 
 7-2 
 
 &c. 
 
 1 
 r 
 
 1 
 r 
 
 k 
 
 1 
 r 
 r2 
 r' 
 &c 
 
 i 
 
 And the several Sd differences for each of these sets of 9 means, arc 
 found from the properties of a 
 set of proportionals 1 , r, r% r^, 
 Sec, as (disposed in the 1st co- 
 lumn of the annexed table, 
 and their several orders of dif- 
 ferences as in the other columns 
 of the table ; where it is evi- 
 dent that each column, both 
 that of the given terms of the progression, and those of their orders 
 of differences, forms a scale of proportionals, having the same common 
 ratio r, and tkat each horizontal line, or row, forms a geometrical 
 progression, having all the same common ratio r— 1, which is also 
 the 1st difference of each set of means; so (r— 1)^ is the 1st of the 
 2d differences, and which is constantly the same, as the 3d differences 
 become too small in the required terms of our progression to be 
 regarded, at least near the beginning of the table : hence, like 
 as 1, r— 1, and (r— 1)* are the first term, with its 1st and 2d differ- 
 ences; so?-^, r (r — 1), and r {r -^ 1)% are any other term with its 
 1st and 2d differences. And by this rule the 1st and 2d differences 
 are to be found for every set of Q means, viz, multiplying the 1 st 
 term of any class (which will be the several terms of the series e, e% 
 E^ &c, or every 10th term of the series f, f% f^, &c), by r— 1 or 
 F— 1 for the 1st difference, and this multiplied by F— 1 again, for 
 the true 2d difference at the beginning of that class. Thus, the 
 10th root of 1,0002302850 or E gives 1,000023026116 for F, or 
 the 1st mean of the lowest class, therefore f— l=:r — 1=: 
 ,0000230261 16 is its 1st difference, and the square of it is(r— 1)* 
 
 = ,0000000005302 its 2d difference; then is ,0000230261 leF^O'^ 
 
 or ,000023026 IIGe"" the 1st difference, and ,0000000005 302f^^'* 
 
 or 0000000005302E is the 2d difference at the beginning of the 
 nth class of decades. And this 2d difference is used as the constant 
 2d difference through all the 10 terms, except towards the end of 
 the table, where the differences increase fast enough to require a 
 small correction of the 2d difference, which Mr. Dodson effects 
 by taking a mean 2d difference among all the 2d differences, in this 
 manner J having found the series of 1st differences ( f — 1) e«, 
 
 (f-1)e"+\ (f-1)e"+^ &c, take the differences of these, and 
 •j-5 of them will be the mean 2d differences to be used, namely, 
 
 F— I n-j-i F—l , n4-2 n+r „ 
 
 -j^ (e — Efj -— - (e ' — E ' ), &c, are the mean 2d 
 
 differences. And this is not only tlie more exact, but also the easier 
 "way. llie common 2d difference, and the successive 1st differences, 
 are then continually added, through the whole decade, to give the 
 ?upcessive terms of the required progression. 
 
125 
 DESCRIPTION AND USE 
 
 OF 
 
 LOGARITHMIC TABLES. 
 
 1° 
 11 
 
 or 
 or 
 
 1 
 
 2 
 
 3 
 
 4 
 
 2 
 
 4 
 
 8 
 
 16 
 
 1 
 
 2 
 
 3 
 
 4 
 
 3 
 
 9 
 
 27 
 
 81 
 
 1 
 
 2 
 
 3 
 
 4 
 
 Though the nature and construction of logarithms have been pretty 
 fully treated in the preceding history of such numbers, where the more 
 learned and curious reader will find abundant satisfaction, I shall here 
 give a brief, easy, and familiar idea of these matters, for the practical 
 use of young students in this subject. 
 
 The Definition and Notation of Logarithms, 
 
 Logarithms may be considered the indices or arithmetical series of 
 numbers, adapted to the terms of a geometrical series, in such sort 
 that corresponds to 1, or is the index of it, in the geometricals. 
 
 5, &c, indices or logarithms, 
 32, &c, geometric progression. 
 5, &c, indices or logarithms, 
 243, &c, geometric series. 
 5, &c, indices or logarithms, 
 10, 100, 1000, 10000, 100000, &c, geometric series. 
 Where the same indices serve equally for any geometric series 5 and 
 from which it is evident, that there may be an endless variety of 
 systems of logarithms to the same common numbers, by varying the 
 2d term, 2, or 3, or 10, &c, of the geometric series ; as this will 
 change the original series of terms, whose indices are the integer 
 numbers, 1, 2, 3, &C5 then by interpolation the whole system of 
 numbers may be made to enter the geometrical series, and receive 
 their proportional logarithms, whether integers or decimals. 
 
 Or, the logarithm of any number is the index of that power of 
 some other number, which is equal to the given number. So, if n 
 
 be = r", then the logarithm of n is w, which may be either positive 
 or negative, and r any number whatever, according to the different 
 systems of logarithms. When n is 1, then «=0, whatever the value 
 of r is ; and consequently the logarithm of 1 is always in every 
 system of logarithms. When nis zz 1, then n is = r : consequently 
 r is always the number whose logarithm is 1, in every system. 
 When r is = 2*718281828459 &c, the indices are the hyperbolic 
 logarithms, such as in our 7th table: so that n is the hyperbo- 
 lic logarithm of (2*718 &c) . But in the common logarithms, r 
 
126 DESCRIPTION AND USE 
 
 is n 10 5 so that the common logarithm of any number (10 ) is 
 (w) the index of that power of 10 which is equal to the said num- 
 ber. So 1000, being the 3d power of- 10, has 3 for its logarithm; 
 
 1*69897 
 and if 50 be = 10 , then is 1*69897 the common logarithm of 
 
 50. And hence it follows, that this decupal series of terms 
 
 10* , 10^ , 10% 10% 10% ]o~\ io~\ 10"^, 10""*, 
 
 or 10000, 1000, 100, 10 , 1 , -1 , -01 ,-001 ,-0001 , 
 have 4 , 3,2,1,0,-1 , — 2 , —3 , — 4 , 
 
 respectively for their logarithms. 
 
 The logarithm of a number comprehended between any two terms 
 of the first series, is included between the two corresponding terms 
 of the latter, and therefore that logarithm will consist of the same 
 index (whether positive or negative) as the less of those two terms, 
 together with a decimal fraction, which will always be positive. So 
 the number 50, falling between 10 and 100, its logarithm will fall 
 between 1 and 2, and is =: 1 '6*9897, the index of the less term, toge^ 
 ther with the same decimal * 69897 as before : also the number '05, 
 falling between the terms "1 and '01, its logarithm will fall between 
 — 1 and —2, and is indeed = — 2 + '69897, the index of the less 
 term together with still the same decimal •69897. The index is also 
 called the characteristic of the logarithms, and is always an integer, 
 either positive or negative, or else =: ; and it shows what place is 
 occupied by the first significant figure of the given number, either 
 above or below the place of units, being in the former case + or posi- 
 tive, in the latter — or negative. 
 
 When the characteristic of a logarithm is negative, the sign — is 
 commonly set over it, to distinguish it from the decimal part, which 
 being the logarithm found in the tables, is always positive : so 
 
 —2 + -69897, or the logarithm of -05, is written thus 2^69897- 
 But on some occasions it is convenient to reduce the whole expression 
 to a negative form ; which is done by making the characteristic fi- 
 gure less by 1, and taking the arithmetical complement of the deci- 
 mal, that is, beginning at the left hand, subtract each figure from 9, 
 except the last significant figure, which subtract from 10; so shall the 
 remainders form the logarithm entirely negative. Thus the logarithm 
 
 of -05, which is 2NS9897, or — 2 + '69897, is also expressed by 
 — 1*30103, which is wholly negative. It is also sometimes thought 
 more convenient to express such logarithms wholly as positive, 
 namely, by only joining to the tabular decimal the complement of 
 the index to 10 : in which way the above logarithm is expressed by 
 8*69897 ; which is only increasing the indices in the scale by 10. 
 It is also convenient, in many operations with logarithms, to take their 
 arithmetical complements, which is done, as above mentioned, by be- 
 ginning at the left hand, and subtracting every figure from 9, but the 
 last figure from 10 : so the arithmetical complement 
 
 of 1-69897 C and of 2-69807 7 where the index — 2, being negative, 
 is 8-30103 1 it is 11-30103 j is added to 9, and makes 11. 
 
OF LOGARITHMIC TABLES. 127 
 
 Tlie Propei'ties of Logarithms. 
 From the definition of logarithms, either as being the indices of 
 a series of geometricals, or as the indices of the powers of the same 
 root, it follows, that the multiplication of the numbers will answer 
 to the addition of their logarithms] the division of numbers, to the 
 subtraction of their logarithms ; the raising of powers, to the multi- 
 plying the logarithm of the root by the index of the power ; and the 
 extracting of roots, to the dividing the logarithm of the given number 
 hy the index of the root required to be extracted. So 
 
 1st l: ab or a X b IS = L. a -{- L. b 
 L. 18 or 3 X 6 is = L. 3 -j- l. 6 
 L. 5 X 9 X 73 is = L. 5 4- L. 9 4- L. 73 
 
 2d. L. a-r-b is = l. a — l. b 
 
 L. l8-r-6 is = L. 18 - L. (5 
 
 X. 79x5-^9 is = L. 79 + L. 5 - L. 9 
 
 L. f or 1—2 is = L. 1 — L. 2 = O — L. 2 =: — L. 2 
 
 L. - or 1 -T- w is = — L. n, 
 n 
 
 3d. L. r is = w L. r : i., r^ or l. Vl/t is = - l, r : l. f^ is = — u r, 
 
 7i n 
 
 L. 2* is = 6 L. 2 5 L.2^ or l. V'^is = §l. 2j l. 2T is = | l. 2. 
 
 So that any number and its reciprocal have the same logarithm 
 but with contrary signs ; and the sum of the logarithms of any num- 
 ber and its complement, is equal to 0. 
 
 To construct Logarithms. 
 
 It has been shown, in the foregoing historical part, that the loga- 
 
 b 2 J? X 30 X 
 rithm of — is = — x : \- ■ 1 1 &C5 where z is the 
 
 a m z 32* 52^ 7^: 
 
 sum and x the difference of a and h ; also m = 2'30258509299i 
 
 &c, the hyp. logarithm of 10. Therefore if a and b be any two 
 
 numbers differing only by unity, so that x or Z) -- a may be = 1 5 
 
 2 111 
 then shall the logarlthmof Z> bezzL. «+ — x : {- — 7 + — ^ &c. 
 
 m z 3z^ 6z^ 
 
 Wliich gives this rule in words at length : call z the sum of any 
 number (whose logarithm is sought) and the number next less by 
 unity: divide -8685889638 &c (or 2 ~ 2*3025 &c) by z, and re- 
 serve the quotient : divide the reserved quotient by the square of z, 
 and reserve this quotient : divide this last quotient also by the square 
 of z, and again reserve this quotient: and thus proceed continually, 
 dividing the last quotient by the square oi z, as long as division can 
 be made. Then write these quotients orderly under one another, the 
 first uppermost, and divide them respectively by the uneven num- 
 bers 1, 3, 5, 7? ^} 11} &C3 as long as division can be made: 
 
128 
 
 DESCRIPTION AND USE 
 
 that IS, divide the first reserved quotient by 1, the 2d by 3, the Si 
 bv 5, the 4th by 7, &c. Add all these last quotients together, then 
 the sum will be the logarithm of 6 ~ a; and therefore to this logarithm 
 adding also the logarithm of a the next less number, the sum will be 
 the required logarithm of h the number proposed. 
 
 Ex, 1 . To find the Leg. of 2. 
 Here the next less number is 1, and 2 -{- 
 = 3 = z, whose square is 9. Then 
 
 3)*868588964 
 9)-289529654 
 9) 32169962 
 3574440 
 397160 
 44129 
 
 4903 
 
 545 
 
 61 
 
 )-289529654(-289529654 
 
 3) 32169962( 10723321 
 
 5) 3574440( 714888 
 
 7) 397160( 56737 
 
 9) 441 29( 4903 
 
 U) 4903( 446 
 
 13) 545( 42 
 
 15) 61( 4 
 
 Log. I - -301029995 
 Add L. 1 - -000000000 
 Logr of 2 
 
 •301029995 
 
 JEx. 2. To find the Log. of 3 . 
 Here the next less number is 2, and 2 -|- 5 
 = 5 = z, whose square is 25, to divide 
 by which always multiply by '04. Then 
 
 )'868588964 
 25)-1737 17793 
 25} 6948712 
 25) 277948 
 25) 11118 
 
 25) 445 
 
 18 
 
 1)-173717793(-17 3717793 
 3) 69487 12( 2316237 
 5) 277948( 
 7) 11118( 
 
 9) 448C 
 
 11) 18C 
 
 55590 
 
 1588 
 
 50 
 
 ^ 2 
 
 L. I - - -176091260 
 L. 2 add - -301029995 
 L. 3 - - -477121255 
 
 Then because the sum of the logarithms of numbers gives the lo- 
 garithm of their product, and the difference of the logarithms gives 
 the logarithm of the quotient of the numbers, from the above two 
 logarithms, and the logarithm of 10 which is 1, we may raise a great 
 many other logarithms, thus : 
 
 £r. S. Because 2X2 = 4, therefore 
 toL. 2 - - - -301029995-1 
 add L. 2 - - -3010299951 
 
 Ex. 
 
 Ex. 
 
 sum is L. 4 - - 
 
 •60205999 H 
 
 4. Because 2x3 
 to L. 2 - - - 
 addL. 3 - - 
 
 = 6, therefore 
 •301029995 
 •477121255 
 
 sum is L. 6 - - 
 
 5. Because 2^ 
 L. 2 - - - . 
 mult, by 3 - - 
 
 •7781511250 
 
 = 8, therefore 
 •3010299p5f 
 3 
 
 gires L. 8 - - 
 
 •903089987 
 
 Ex. 6. Be«ause 3* = 9, therefore 
 L. 3 - - - -477121254/^ 
 mult, by 2 - 2 
 
 gives L. 9 - '954242509 
 
 Ex. 7: Because \^ = 5, therefore 
 from L. 10 - 1-000000000 
 take L. 2 - - •301029995f 
 leaves L, 5 - •698970004| 
 
 Ex.S. Because 12 = 3 
 to L. 3 - - 
 add L. 4 - - 
 gives L. 12 . 1-079181246 
 
 X 4, therefore 
 •477121255 
 -602059991 
 
 And thus, computing, by the general rule, the logarithms of the 
 other prime numbers, 7, 11, 13, 17, 19,^3, &c; and then using 
 composition and division, we may easily find as many logarithms as we 
 please, or may speedily examine any logaritlun in the table. 
 
129 * 
 
 THE DESCRIFllON AND USE OF THE TABLES. 
 
 XHE following collection consists of various tables, in the following 
 order, viz. I , A large table of logarithms to 7 places of figures ; 2, A, 
 table for finding logarithms and numbers to 20 places ; 3, Logarithms 
 to 20 places, with their 1st, 2d, and 3d differences ; 4, Another table 
 of logarithms to 20 places, with their 1st, 2d, and 3d differences; 
 5, Logarithms to 6 1 places; 6, Another table of logarithms to 6l 
 places, with their 1st, 2d, 3d, and 4th differences; 7? Hyperbolic 
 logarithms; 8, Logistic logarithms; 0, Logarithmic sines and tan- 
 gents to every second of the first 2 degrees ; 10, Natural and logarith- 
 mic sines, tangents, secants, and versed sines, with their differences to 
 every minute of the quadrant. After which follow several smaller 
 tables; as a table of the lengths of circular arcs; a traverse table, or 
 table of difference of latitude and departure, to every degree and 
 quarter point of the compass ; a table for changing the common loga- 
 rithms into hyperbolic logarithms ; and a table of the names and num- 
 ber of degrees &c in every point of the compass; as also lists of errata 
 in various works of this sort. Of each of which in their order. 
 
 Of the large Table of Logarithms, 
 
 The first is the large table of logarithms, to all numbers from 1 to 
 100000; by which may be found the logarithm to any number, and 
 the number to any logarithm, to 7 places of figures. This table con- 
 sists of two parts; the first contain?, in 4 pages, the first 1000 numbers, 
 with their corresponding logarithms in adjacent columns ; the second 
 contains all the 100000 numbers and their logarithms, with the differ- 
 ences and proportional parts, disposed as follows : in the 1st column of 
 each page are the first 4 figures of the numbers, and along the top and 
 bottom of the columns is the 5th figure, in which columns are placed 
 all the logarithms, the first 3 figures of each logarithm being at the 
 beginning of the lines in the first column of logarithms, signed 
 at the top and bottom, and the other 4 figures in the remaining co- 
 lumns. Sometimes the first three figures of the logarithms are found 
 in the line next below the number, viz. when the fourth figures have 
 changed from 9's to O's, in which case, a bar is placed over the first 
 cipher, to catch the eye, thus 0. After the 10 columns of logarithms, 
 stands their column of differences, signed D ; and lastly, after that, the 
 column of proportional parts, signed Pro. Pts. showing what propor- 
 tional part of each difference corresponds to 1,2, 3, &c, the whole 
 difference answering to 10; or showing the t%3 t\> t^^j &c, of the 
 differences. 
 
 Note, The logarithms in these columns are all supposed to be deci- 
 mals, and their corresponding natural numbers may be either inte- 
 gers or decimals or mixt numbers ; for the same figures, whatever be 
 their denomination, have the same decimal logarithm, and these 
 differ only in the index or characteristic, which is the integer num- 
 
 S 
 
130 
 
 DESCRIFHON AND USE 
 
 ber to be prefixed to tbe decimal part of the logarithm ; and this is 
 always the number which expresses the distance of the higliest deno- 
 mination, or left-hand figure, of the natural number, from the units 
 place. So that if the natural number consist of only one place of 
 integers, the index of its log. will be 0: if of 2, 3, 4, 5, &c, the index 
 of its logarithm will be respectively 1, 2, 3, 4, &c, being 1 less 
 than the number of integer places : and the same figures made 
 negative will give the index of the logarithm of a decimal, viz. if 
 the natural numl^r be a decimal, and its first significant figure be 
 in the place of primes, 2ds, 3ds, 4ths, &c, the index of its logarithm 
 will be respectively 1, 2, 3, 4, &c, or the figure which expresses 
 the distance of the first place of the natural number from the units 
 place, but with a negative sign, as the number is below the place 
 of units, the sign being written above the index instead of before 
 it, as that part only of the logarithms is to be considered as nega- 
 tive, the decimal part of it being always affirmative. And in the 
 arithmetical operations of addition and subtraction w^ith logarithms, 
 the negative indexes will have the contrary effect to that of the 
 decimal part of the logarithm, viz. when the logarithm is to be 
 added, the figure of the negative index must be subtracted, et vice 
 versa. Hence if 4234097 be the tabular 
 or decimal part of the logarithm belong- 
 ing to the figures 2651, without any re- 
 gard to their particular denominations; 
 then according as they are varied with 
 respect to the number of decimals, as in 
 the 1st annexed column, the index of 
 their logarithm, and the complete loga- 
 rithm, will vary as in the 2d column here 
 annexed. And hence, hke as when the 
 natural number is given, we find the index 
 of its logarithm by counting how far its first figure on the left hand is 
 from the units place ; so when a logarithm is given, the denominations 
 of the figures in its natural number will be found by placing the deci- 
 mal point so, that the number of integer places may be 1 more than 
 that of the index when positive, or by setting the first significant figure 
 in that decimal place, which is expressed by the number of the 
 index when negative. 
 
 Number 
 
 Logar. 
 
 2651 
 
 3-4234097 
 
 265-1 
 
 2-4234.097 
 
 26-51 
 
 1-4234097 
 
 2-651 
 
 0-4234097 
 
 •2651 
 
 1-4234097 
 
 •02651 
 
 2-4234097 
 
 •002651 
 
 3-4234097 
 
 Of finding the Logarithm of a given Number, or the Number to tf 
 given Logarithm. 
 
 1. Tofifid the Logarithm of a Number consisting of 3 figures. 
 
 Find the number in the column of numbers in one of the first 4 
 pages of the table, and immediately on the right of it is its logarithm 
 sought. So the logarithm of 72 is 1-8573325, and the logarithm of 
 S-33 is 0*5224442, when the proper index is supplied. 
 
OF THE TABLES. 131 
 
 2. To find the Logarithm of a Number consisting of 4 Places. 
 
 In the first column (signed N) in some one of the pages of the table 
 after the first four, find the given number, then against it in the 2d 
 cohjmn (signed 0) is the logarithm sought. So the logarithm of 2254 
 is 3 3529539, and tliat of 31'32 is 1- i9582l8. 
 
 3. To find the Logarithm of a Number consisting of b Places. 
 
 Find the first 4 figures of the given number in the first column as 
 before, and the 5th figure at the top or bottom ; then the 7 figures 
 ot the logarithm are found in two columns on the line of the first 4 
 figures of the given number, viz. the first 3 figures of the logarithm 
 are the first 3 common figures of the 2d column (signed 0), and the 
 last 4 figures are on the same line, but in the column signed with 
 the 5 th figure of the given number. So the logarithm of 23204 is 
 4;3G55629, and that of 746-40 is 2'8729716, and that of -083178 is 
 
 2-92000S5. 
 
 Note, When the last four figures of the logarithm begin with a 
 cipher, orany figure less than the last four in the 2d column begins 
 with, then the first 3 common figures are those in the next lower line : 
 so in the last example the first 3 common figures arc 920, and not 
 919. 
 
 4. To find the Logarithm of a Number of 6 Places, 
 
 Find the logarithm of the first 5 figures by the last article, and take 
 the difference between that logarithm and the next following loga- 
 rithm, or (which is the same thing) find the difference nearest oppo- 
 site in the last column but one, signed D; then under that difference 
 in the last column (of proportional parts) and against the 6th figure of 
 the given number, is the part to be added to the logarithm before 
 found for the first 5 figures, the sum being the logarithm sought. So 
 to find the logarithm of 3409*26 : the logarithm of 34092, the first 
 5 figures, being 5326525, and the common difference 127, under 
 which and against 6 in the last column is J6, which being added 
 to the former logarithm, and the proper index prefixed, we have 
 3*5326601 for the whole logarithm required. 
 
 5. To find the Logarithm of a Number of "J Places. 
 
 Find the logarithm of the first 5 figures by the Sd article, and 
 of. the sixth figure by the 4th article ; then for the Icgariihra of the 
 7th figure, divide its proportional part by 10, that is, set it one place 
 farther to the right hand than the last figure of the logaiithm reaches; 
 add all the three together, and their sum will be the logarithm 
 required. 
 
 82 
 
1S3 
 
 DESCRIPTION AND tlSE 
 
 Logar. 
 
 ,5326325 
 
 76 
 
 - 5A 
 
 0-5326606 
 
 Thus, to find the logarithm of 3-409264. 
 The several parts being taken out according Nilmb. 
 to the rule, and placed as in the margin, the 34092 - 
 sum gives the whole logarithm sought. 6 
 
 Note, In the same way we might take out 4 
 
 the proportional part of an 8th figure, divid- 3-409264- 
 ing its tabular part by 100, or setting it two 
 
 places farther to the right hand than the first logarithm. Or the 
 whole proportional part for any number of figures above five, may 
 be found at once, by multiplying the common tabular 
 difterence of the logarithms, found as before, by all 127 
 
 the figures after the 5th, cutting off from the product 64 
 
 as many figures as we multiply by, and adding the 508 
 
 rest to the logarhhm of the first 5 figures before 762 
 
 found. So in the last example above, having found 81,28 
 
 the common difference 127, multiplying it by 64 the 5326525 
 last two figures, cutting off two, add the rest to the 0-5326606 
 logarithm of the first 5, as in the margin. 
 
 For another example, suppose we wanted the logarithm of the fol- . 
 lowing 8 figures 34092648. The operation by both methods will be 
 as below. 
 
 34092 
 
 8 
 
 34092648 
 
 5326525 
 76 
 5,1 
 1,02 
 
 7-5326607 
 
 127 
 64S 
 1016 
 508 
 762 
 
 82,296 
 5326525 
 
 7*5326607 the same as the other. 
 
 6. To find the Logarithm of a Vulgar Fraction, or of a Mixt Number* 
 
 Either reduce the vulgar fraction to a decimal, and find its loga- 
 rithm as above. Or else (having reduced the mixt number to an 
 hnproper fraction), subtract the logarithm of the denominator from 
 the logarithm of the numerator, and the remainder will be the loga- 
 rithm of the fraction sought. 
 
 Ex, 1 , To find the log. of ^^^ or 0*1 875. 
 From log. of 3 - - 0.4771213 
 Take log. of 16 - - 1'204.1200 
 
 Rem. log. of^ or -1875 1-2730013 
 
 Ex. 2. To find the log. of 13| 
 
 or 
 
 From log. of 55 - - 
 
 Take log. of 4 
 
 Leaves log. of ^^s or 13-75 11383027 
 
 1-7403627 
 0-6020600 
 
 7. To find the Natural Number ansicering to any given Logarithrn. 
 
 Find the first 3 figures, next after the index of the given logarithm, 
 in the second column, signed 0, and the other 4 figures on the same 
 line in one of the nine following columns 5 if the figures of the loga^ 
 
OF THE TABLES. 133 
 
 rithm be tlius found exactly, then on the same Ihie in the fil'st column 
 are the first four figures of the natural number, and the 5th is at the 
 top or bottom of that column in which the last four figures of the log. 
 were found. So to find the number answering to the logarithm 
 2'589()108. In pa. 6S I find the first three figures 589, and in co- 
 lumn 6 of the line above are found the other four '0108 (because the 
 first three common figures are supposed to begin at that part of the 
 line above where they are placed) : then on the same line in the co- 
 lumn of numbers stand the first four figures 388*1, and G at the top 
 of the column, making in all 388*16 for the number sought; having 
 placed the decimal point so as to make three integers, being 1 more 
 than £ the index of the given logarithm. 
 
 But if tl'.e given logarithm be not found exactly in the table, sub- 
 tract the next less tabular logarithm from it, and look for the re- 
 mainder in the proportional parts under the difference between the 
 two tabular logarithms next less and greater than the given loga- 
 rithm, and against it, or the part next less, is a 6th figure to be an- 
 nexed to the five figures before found. And if the remainder be not 
 found exactly in the proportional parts, subtract the next less part 
 from it, and annex a cipher to this 2d remainder, then against the 
 nearest proportional part (either greater or less) is a 7th figure to be 
 annexed to the six before found. And that figure will be the nearest 
 to the truth in that place, either too much or too little. 
 
 Ex. To find the number answerhig to the logarithm 1*2335678. 
 The next less tab. log. is the log. of 17122 viz. 23355^5 
 
 1st rem. 133 
 
 The difference is 254 C " ^ for the part 127_ 
 
 J ^1 4. n i- X • *( 2d rem. 60 
 
 and the table of pro. pts.gives^ . ^ for the part - - 51 
 
 So that the number sought is 17'12252, making two integers for the 
 index 1. 
 
 Or the 6th and 7th figures may be found without the table of pro- 
 portional parts, by dividing the first remainder by the tabular differ- 
 ence, annexing one cipher to the dividend for each 
 figure to be found. So, in the last example, the re- 254)133,00(52 
 niainder 133, with two ciphers annexed, being di- 127>0 
 
 vided by the tabular difference 254, as in the margin, 600~ 
 
 the quotient gives 52 for the 6th and 7th figures, 5Qg 
 
 the same as before. In like manner may be found 
 the numbers to the following logarithms. 
 
 Logar. 1 -234567 8 1 3-7 343003 lT-092 1 406|2-37 20468 14-6 1 23004] 3 -2946809 
 Numb. 17*10200 |5*423758 |*1236348 |*023j5303J40954*39 |l970-974 
 
]84 
 
 DESCRIPTION AND USE 
 
 OF LOGARITHMICAL ARITHMETIC. 
 
 I, Multiplication by Logarithms. 
 
 Add together the logarithms of all the factors ; then the sum is a 
 logarithm, the natural numher corresponding to which, being found 
 in the table, will be the product required. 
 
 Observing to add, to the sum of the affirmative indices, what is car- 
 ried from the sum of the decimal parts of the logarithms. 
 
 And that the difference between the affirmative and negative indices, 
 is to be taken for the index to the logarithm of the product. 
 
 Ex. 1. To multiply 23- 14 by 5-062. 
 23-14. its log. is 1-364.3634. 
 5*062 its log. is 0-7043221 
 Product 117-1347 - 2-0686855 
 
 Ex. 3. To mult. 3-902, and 597-16, 
 and -0314728 all together. 
 
 3 902 its log. is 0-5912873 
 597-16 - 2-7760907 
 
 •0314728 - 
 Prod. 73-33533 
 
 2-4979353 
 
 •8653133 
 
 The 2 cancels the 2, and the 1 to 
 carry from the decimals is set down. 
 
 £i:.2.Tomul. 2-58 1926 by 3 457291. 
 
 2-581926 its log. is 0-4119438 
 
 3-457291 - - - 0-5387359 
 
 Prod. 8-92647 - - 0-9506797 
 
 Ex. 4. To mult. 3-586, and 2.1046, 
 
 and 0-8372, and 0294 all together. 
 
 3-586 its log. is 0.5546103 
 
 2-1046 - - 03231696 
 
 0-8372 ^9228292 
 
 0-0294 - - 2-4683473 
 
 Prod. -1857618 - 1^2689564 
 
 Here the 2 to carry cancels the 2, and 
 
 there remains the I to set down. 
 
 II. Division by Logarithms, 
 
 From the logarithm of the dividend, subtract the logarithm of the 
 divisor; the remainder is a logarithm, whose corresponding number" 
 will be the quotient required. 
 
 But first observe to change the sign of the index of the logarithm 
 of the divisor, vizi from negative to affirmative, or from affirmative to 
 negative ; then take the sum of the indices if they be of the same kind, 
 or their difference when of different kinds, with the sign of the greater, 
 for the index to the logarithm of the quotient. 
 
 And when 1 is borrowed in the left-hand place of the decimal part 
 of the logLrithin, add it to the index of the logarithm of the divisor 
 when that index is affirmative, but subtract it when negative ; then let 
 the index thus found be changed, and worked with as before. 
 
OF THE TABLES. 
 
 1S5 
 
 Ex. 
 
 1. To divide 24163 by 4567. 
 Divid.24163 its log. 4-3831509 
 Divis. 4567 - - 3 65P6S1Q 
 Quot. 5-290782 - 0-7233199 
 
 Ex, 3. To divide -06314 by -007241. 
 Divid. -063 14 its log. 28003046 
 
 Bivis. 007241 
 Quot. 8-719792 
 
 - 38597985 
 
 0J)405061 
 
 Here 1 carried from the decimals to 
 the 3 makes it become 2, which taken 
 from the other 2, leaves remaining. 
 
 Ex, 2. To divide 37-149 by 523-76. 
 Divid. 37-149 its log. 1-5699471 
 Divis. 523-76 - - 2-7191323 
 
 Quot. -07092752 - 2-8508148 
 
 Ex. 4. To divide -7438 by^ 12-9476. 
 Divid. -7438 its log. 1-8714562 
 Divis. 12 9476 - - 1-1121893 
 
 Quot. -05744694. - 27592669 
 
 Here the 1 taken from the 1 makes 
 it become 2 to set down. 
 
 III. The Rule of Three, or Proportion. 
 
 Add the logarithms of the 2d and 3d terms together, and from their 
 sum subtract the logarithm of the 1st, by the foregoing rules; the re- 
 mainder will be the logarithm of the 4th term required. 
 
 Or in any compound proportion whatever, add together the loga- 
 rithms of all the terms that are to be multiplied, and from that sum 
 take the sum of the others ; the remainder will be the logarithm of the 
 term sought. 
 
 But instead of subtracting any logarithm, we may add its comple- 
 ment, and the result will be the same. By the complement is meant 
 the logarithm of the reciprocal of the given number, or the remain- 
 der by taking the given logarithm from or from 10, changing the 
 radix from to 10 ; the easiest method of doing which, is to begin at 
 the left-hand, and subtract each figure from 9, except the last signifi- 
 cant figure on the right-hand, which must be subtracted from 10. 
 But when the index is negative, add it to 9, and subtract the rest as 
 before. And for every complement that is added, subtract 10 from 
 the last sum of the indices. 
 
 Ex, 1 . To find a 4th proportional to 
 
 72-34, and 2-519, and 357-4862. 
 As 72-34 - comp. log. 8-1406215 
 To 2-519 - - - - 0-4012282 
 So 357-4862 - - - 2-55S2592 
 To 12-44827 - - - 1-0951089 
 
 Ex. 3. To find a number in propor- 
 tion to -379145 as -85132 is to 
 •0649. 
 As -0649 - comp. log. 11-1877553 
 To -85132 - - - - T-9300928 
 So -379145 - . - - T-5788054 
 To 4-973401 ... 0-696§535 
 
 Ex. 2. To find a 3d proportional to 
 
 12-796 and 3-24718. 
 As 12-796 - comp. log. 8-8929258 
 To 3-24718- - - - 0-5115064 
 So 3-24718 - - - - 0-5115064 
 
 - - 1-9159386 
 
 To -8240216 
 
 Ex. 4. If the interest of 100/. for a 
 
 year or 365 days be 4*5/. what will 
 
 be the interest of 279*25/. for 274 
 
 days? 
 
 . ClOO") , C 8-0000000 
 
 ^'[ses] ^«°^P-J«S- 17-4377071 
 
 rp C 279-25 - - - 2-4459932 
 
 ^274 - - - - 2-4377506 
 
 So 4-5 0-6532125 
 
 To 9-433296 - - - 09746634 
 
136 
 
 DESCRIPTION AND USE 
 
 IV. Involution, or Raising of Powers. 
 
 Multiply the logarithm of the number given by the proposed index 
 of the power, and the product will be the logarithm of the power 
 sought. 
 
 Note, In multiplying a logarithm with a negative index by any 
 affirmative number, the product will be negative. — But what is to be 
 carried from the decimal part of the logarithm will be affirmative. — 
 Therefore the difference will be the iftdex of the product 5 and it is 
 to be accounted of the same kind with the greater. 
 
 Ex. 1. To find the 2d power of 
 2-5791. 
 Root 2-5791 its log. 0-4114682 
 index - - 2 
 
 Power 6 65 1756 - 08229364 
 
 Ex. 3. To find the 4th power of 
 
 •09163. 
 
 Root -09163 its log. 2-9620377 
 index - - - 4 
 
 Power -0000704938 - 5-8481508 
 
 Here 4 times the negative index be- 
 ing 8, and 3 to carry, the difference 
 i is the index of the product. 
 
 Ex, 2. To find the cube of 3-07146. 
 
 Root 3-07146 its log. 0-4873449 
 
 index - .- - 3 
 
 Power 28-97575 - 1-4620347 
 
 Ex. 4. To find the 365th power of 
 
 1.0045. 
 
 Root 1-0045 its log. 0-0019499 
 
 index - - 365 
 
 07495 
 116994 
 58497 
 Power 5-148888 - 0-71 17 135 
 
 V. Evolution, 01' Extraction of Roots, 
 Divide the logarithm of the power, or given number, by its index, 
 and the quotient will be the logarithm of the root required. 
 ^ JSote, When the index of the logarithm is negative, and the divisor 
 IS not exactly contamed in it without a remainder, increase it by such 
 a number as will make it exactly divisible; and carry the units bor- 
 rowed, as so many tens, to the left-hand place of the decimal part of 
 the logarithm ; then divide the results by the index of the root. 
 
OF THE TABLES. 
 
 137 
 
 Ex. 1. To find the square root of 
 365. 
 Power 365 - 2 ) 2-5622929 
 Root 19-10498 - 1-28 11465 
 
 Ex. 
 
 3. To find the 10th root of 2. 
 Power 2 - - 10 ) 03010300 
 Root 1-071773 - 0-0301030 
 
 Ex, 5 
 
 To find the square root of 
 •093. 
 
 Power -093 - 2 ) 2*9684829 
 
 Root -304959 - 7-4842415 
 
 Here the divisor 2 is contained ex- 
 actljr once in 2 the negative index, 
 therefore the index of the quotient 
 is 1. 
 
 Ex. 2- To find the cube root of 
 12345. 
 Power 12345 - 3)4-0914911 
 Root 23-1 1162 - 1-3638304 
 
 Ex. 4. 
 
 To find the 365th root of 
 1-045. 
 Power 1-045 365) 0.0191 163 
 Root 1-000121 - 00000524 
 
 Ex. 6. To find the cube root of 
 -00048. 
 Power -00048 3 ) 4-6812412 
 Root -07829735 - 2-8937471 
 
 Here the divisor 3 not being exactly- 
 contained in 4, augment it by 2, to 
 make it become 6, in which the di- 
 visor is contained just 2 times ; and 
 the 2 borrowed being carried to the 
 other figures 6 &c, makes 2-681241 2, 
 which divided by 3 gives -8937471. 
 
 OF THE TABLES FOR LOGARITHMS TO TWENTY 
 PLACES. 
 
 These are tables 2d, 3d, and 4th, beginning at page 187. Of 
 these, table 2 contains all numbers from 1 to 1000, and all uneven 
 numbers from 1000 to 1161 ; with their logarithms to twenty places: 
 table 3 contains all numbers from 101000 to 101139, with their lo- 
 garithms to twenty places, and the 1st, 2d, and 3d differences of those 
 logarithms: and table 4 contains all logarithms regularly from 00001 
 to 00 131), with their corresponding natural numbers to twenty places, 
 as also the 1st, 2d, and 3d differences of those numbers. And by 
 means of them may be found the logarithm to any other number, and 
 the number to any other logarithm, to twenty places of figures. 
 
 (1.) To find the Logarithms to given Numbers, 
 
 Case 1. If the given number h be found in any of these three 
 tables ; then its logarithm b is in the line even with it. 
 
 Case 2. If h is known to be the product or quotient of numbers 
 found in these tables; then b is the sum or difference of the loga- 
 rithms of those numbers. 
 
 T 
 
138 DESCRIPTION AND USE 
 
 Case 3. If t/, the first six significant figures of a given number 
 h\ be found in table 3 ; let a be an integer, a' its logarithm ; ^ the 
 remaining figures of fe' ; x the complement of o to d' or 1 ; d', d", «'', 
 the 1st, 2d, 3d differences of the logarithms in the same line with a' ; 
 /=: j d" X 0? + 1 + d": Then b' the logarithm of the number />' 
 will be 
 
 d' X ^ + a' - - to 12^ 
 
 \ X d" + Jd' X ^ + a' - to 17 > places of figures nearly. 
 
 IX f ^ d' X ^ + a' - - to 203 
 
 Ex. 1. Given the number V = 001010,26227,6351, to find b' its lo-^ 
 garithm nearly to twelve places. 
 
 Here a' = 101026 a' = 00443,31579,747 
 B f= 0-2276351 <^d' -f- 9785,618- 
 
 d' = 429881746 b' = 200443,41365,365- 
 
 Ex. 2. Given V = 01010,26227,63509,620, to find e' its log. nearly 
 to 17 places. Here «' = 101026. 
 
 ^ = 022763,509626; x = 0-772365; D' = 42988,174579; d" = 
 425510. 
 
 Now I X D" 16432,45 
 
 d' 42988,17457,86 
 
 1 a: n" H- d' 42988,33890,31 
 
 I a: d" + d' X ^ 9785,65466,42 
 
 a' 0-0443,31579,74695,33 
 
 And IxD" -\- d' X ^ + a', or b' 2-00443,41365,40161,75 
 
 Ex. 3. Given b' = 0-01010,26227,63509,62573,17345, to find b' its 
 log. nearly to 20 places. a' = 101026. 
 
 e = 0-22763,50902,573173 ; x = 0-77236,490374; a- + 1 = 1-772365; 
 d' = 42988,1745 7,86301 ; d" = 42550,96343 ; d'" = 84236. 
 
 Now i d'" X X + 1 49766 
 
 D" .' 42550.96343 
 
 / 42551,46109 
 
 I xf 16432,62757 
 
 d' 42988,17457,86301 
 
 f xf-\- d' 42988,33890,49058 
 
 |x/-|-r>' X ^ 9785,65466,45604 
 
 A 0041-3,31579,74695,32791 
 
 And B 2,00443,41365,40161,78395 
 
 Case 4. If the number b do not come under one of the preceding 
 cases: put a for the first five figures of b ; n for 101, the least, or 
 
 some one, of the numbers in table 3; then -or - z= a is to be had 
 
 n a 
 
 in table 2, with a its logarithm; let b' = - or ba, and a' the 
 
 a 
 first six significant figures of U (found in table 3) be an integer. 
 
OF THE TABLES. 139 
 
 and a' its logarithm ; put 5 for the remaining figures of />' ; x the 
 complement of ^to d' ', d', d", d'", the 1st, 2d, 3d, differences of the 
 logarithms in the same line with a'; f z= \ jj"' x x + 1 + d". 
 Then b the logarithm of the number b will be 
 
 ^—^ X ^ + A' ± A = .' ± AtO 12. ^^^^^^^ 
 
 ^'^P + ^' X 5 + a' ± A = b' ± A to 1/ > figures nearly. 
 I xf + d' X ^ + a' ± A = b' ± A to 20 ) 
 
 Ex. Given b = 3-1 4.159,26535,89793,23846,26434, to find b to twenty 
 places. ^ 
 
 Here ct =: 31415 Let a = - = 311. 
 
 n 
 
 Then 6' = — = 001010,15840,95144,02970,57 ; a' = 101015. 
 a 
 ^ = 0-84095,14402,97057; x = 0*15904,85597; a: + 1 = 1-15905; 
 D = 42992, 8557 4,0633 7 ; d" = 42560,23099; d'" = 84263. 
 
 Now I d"' X X -{- 1 32555 
 
 d" 42560,2S099 
 
 / V25dO,5565'i- 
 
 I xf 3384,59761 
 
 D' 42992,85574,06337 
 
 1 j:/+ d 42992,88958,66098 
 
 |j:/+d' X 8 36154,93242,03919 
 
 A' 00438,58681,74054,30961 
 
 A 49276,03890,26837,50555 
 
 And B 0-49714,98726,94133,85435 
 
 Or let a= - = 3-216 = 0-536 x 6. 
 a 
 Then b' = ba = 10-10336,19739,44775,0549; a = 101033. 
 J = 0-61973,94477,50549 ; x = 0-38026,055225; x -{- I = 1-38026; 
 D' = 42985,19618,80760; d" = 42545,06747 ; d'" ~ 84219. 
 
 Now I D"' X X + 1 38748 
 
 d" 42545.06 747 
 
 / 42545,45495 
 
 I xf 8089,17910 
 
 D' 42985,19618,80760 
 
 ij?/-f d' 42985,27707,98670 
 
 ixf+ d' X ^ 26639,67187,88811 
 
 A' 00446,32488,03359,61 854 
 
 b' 1 -00446,59127,70547,50665 
 
 A 0^ 50731 ,60400,7641 3,65230 
 
 B =: b'-- A 0^49714,98726,94133,85435 
 
 T2 
 
140 DESCRIPTION AND USE 
 
 (II.) To find the Numbers to given Logarithns, 
 
 Case J. When the logarithm b is found in any of these three 
 tahles ; then its number b is in the line even with it. 
 
 Case 2. If the first five figures (omitting tlie index) of a given lo- 
 garithm b', be between 00432 and 00492 : take them as an integer, 
 and put a' and c' for the logarithms, in table 3, next less and greater 
 than b', a' and c' their numbers; let !>'{:=. c' — a') and d" be the 1st 
 and 2d differences in the line with a'; A = u' — a'; d' ^ {c' — a' —) 
 
 1 : X == — — ; — ; $ = —, r, ' then V ■=. a! + ^, nearly true 
 
 to 17 places of figures. 
 
 Ex. Given the logarithm B' =5,00446,59127,70547,507 
 
 to find b' its number. a = 5,00446,32483,03359,61 9 
 
 a' = 101033 A = 0-26639,67187,888 
 
 8 0'61 973,944776 D' = 0-42985,19618,808 
 
 b' = 101033-61973,944776 D' - A = 0-16345,52430,920 
 
 X = 0-38026 
 d" = 0-00000,42545 
 I X d" = 0-00000,08089,1 
 d' + I X d" = 0-42985,27707,9 
 
 But when any other logarithm b is given, subduct *004321 from the 
 first six figures of b : call the remainder r, and let a be the logarithm 
 in table 2, next less than r, or next greater than the complement of r, 
 and a its number : then b' = b — • a, or b' rr b + a, will be within 
 the limits of table 3, and b' will be found as in the preceding ex- 
 ample; and if b' = b — A, then b zz ab' -, or if b' =: b + a, then 
 
 a 
 
 Case 3. If a', the first five figures (omitting the index) of a given 
 logarithm b', be found in table 4 : let a! be its number ; and put a' as 
 an integer, and A the remaining figures of b', and x the complement of 
 A to d'; d', d", d'", the 1st, 2d, 3d diff*erences of the numbers in the 
 same line with a! -, f zr. d" — i #' x x + T: then the number y, 
 whose logarithm is b', will be 
 
 d' X A + a' - - to 12 
 
 rf' - I x/ 
 
 ct' X A + a - - to 1:^^ 
 
 d" X A -I- a' - - to 17 > places of figures nearly. 
 
 f X A + a' - to 20^ 
 
 Bx. Given the logarithm b' = 0-00006,93311,37711,69929, to find V : 
 Its number to 20 places. Here a' = 00006. 
 
 A = 0-93311,37711,69929; x =0-06688,622883; x -j- I = 1-066886; 
 rf' = 23029,29742,21293; d" =z 53027,52746 ; d'" =1-22100. 
 
OF THE TABLES. 141 
 
 Now i d!" X x+ 1 43422 
 
 dJ' j:i027,52 746 - 
 
 / 53027,09324 
 
 I x/ 1773,39115 
 
 d' 23029,29742, 21293 
 
 rf'-fx/ 23029,27968,82178 
 
 d'-lKfX A 21488,93801,72000 
 
 a' 10001,381 64,64943,57474 
 
 And 6' 1 -00015,96535,87452,9474 
 
 Case 4. If the logarithm b do not come under one of the pre- 
 ceding cases. Put a for the logarithm in table 2, next less than b, 
 or next greater than the complement of b, and a its number; let 
 b' = B — A, or b' == b + A ; and a', the first five figures of b', 
 may be had in table 4, with a' its number; put a' as an integer, 
 and let A be the remaining figures of b'; x the complement of A 
 to d'; d', d", dJ", the 1st, 2d, 3d difi'erences of the numbers in the 
 same line with a; f— d" -~ j d'" x x + 1 : then the number Z/, 
 whose logarithm is b', will be 
 
 d' X A + a' X a = aZ/ to 1 1 ^ 
 
 jun^TTT^^ X a = az/ to i^p^^^rj;;^^ 
 
 d' — I x/_X A + a' X a = aZ/ to 19) 
 Ex, Given b = 4-46372,61 172,07184,15204, to find b its number. 
 Let A = 1-46239,7 9978,98956,08733. a = 29. 
 
 B' r= B - A = 5^)0132,81 193,08228,06471. a' = 00132 
 
 A = 0-81193,08228,06471 ; x =0-18806,91772; x + 1 = M8807 ; 
 d'= 23096,20835,34589|d"= 53181,59733; (2'" =1-22457. 
 
 Now|d'"xx4-l 48496 
 
 d'' 53181,59733 
 
 / 53181,11237 
 
 I x/ 5000,86402 
 
 d' 23096,20835,34589 
 
 d'-^xf 23096,15834 ,48187 
 
 d'-lKfxA 18752,48284,85771 
 
 a' 10030,44036,01963,96855 
 
 1/ 10030,6278 8, 50248,82626 " 
 
 b = ab' 0-00029,08882,08665,72159,6154 
 
H2 DESCKIPllON AND USE OF THE TABLES. 
 
 Or given b = 4-46372,61 172,07184,15204, to find b. 
 
 Let A = 2-5365 5,84425,7 1530,1 1205 . a = 344. 
 
 b'= B + A = 1-00028,45597,78714,26409. ^a' = 00028. 
 
 A= 0-45597,78714,26409; x = 0-54102,21286; x^- 1 = 1'54'402; 
 
 d' = 23040,96629,91 521 ; d " = 53054,39634 ; r^'" =1-22163. 
 
 how Id'" X X + 1 62874 
 
 d" 53054,39634 
 
 / 53053,76760 
 
 |x/ 14431,21179 
 
 d' 23040,96629,01521 
 
 d'-jxf 23040,82~1 98,70342 
 
 d'-^xf X A 10506,10496,5/)627 
 
 a' 10006,44931,70511,67281 
 
 b' 10006,55437,81008,22908 
 
 b = ~ 0-00029,08832,08665,72159,616 
 
 a 
 
 OF THE TABLES FOR LOGARITHMS TO SIXTY-ONE 
 
 PLACES. 
 
 THESE are tables 5 and 6, from page 203 to page 207 ; the former 
 containing the natural numbers in regular order from 1 to 100, and 
 after that all the primes up to 1100, with their corresponding loga- 
 rithms, to sixty-one places of figures; and the latter in page 207 
 contains all numbers in order from 999980 to 1000020, with their 
 logarithms, to sixty-one places, as also the 1st, 2d, 3d, and 4th dif- 
 ferences of these logarithms. And the use of these tables, in finding 
 the logarithm to any number, or the number to any logarithm, each to 
 sixty-one places of figures, will be as follo^ys. 
 

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146 ' DESCRIPTION AND USE 
 
 OF THE TABLE OF HYPERBOLIC LOGARITHMS. 
 
 This IS table 7> in pages 208 211, which contain the series of 
 
 numbers 1-01, 1*02, 1*03, &c, to 10*00, with their hyperbolic loga- 
 rithms to seven places of figures. They are so called because they 
 square the asymptotic spaces of the right-angled hyperbola ; and they 
 are very useful in finding fluents, and the sums of infinite series. The 
 
 (table, as well as the following rules, were first given at the end of 
 Simpson's fluxions, but they were rendered much more correct in the 
 \ French edition of Gardiner s tables, printed at Avignon in 1770, being 
 \ very incorrect in the last figure in Simpson's book. But both those 
 books are very erroneous in the example for finding logarithms by the 
 table. 
 
 1. WTien the given Number is bettceen 1 ajid 10. 
 
 From the given number subtract the next less tabular number, di- 
 vide the remainder by the said tabular number Increased by half the 
 remainder ; add the quotient to the logarithm of the said tabular num- 
 ber, and the sum will be the logarithm of the number proposed. 
 
 Ex, To find the hyperbolic loga- 
 rithm of 3-^678. Here the next less 3'45339) -00678 (-0019633 
 number is 3*45, and Its logarithm 1-2383742 
 
 1*2383742, the remainder or dividend log. 1-24.03375 
 
 •00678, its half 339, which joined to 
 
 the tabular number 3*45, gives the divisor; the quotient '0019633 
 added to the tabular logarithm 1-2385742, gives 1-2403375 the re^ 
 quired logarithm of 3*45678. 
 
 2, When the given Number exceeds 10. 
 
 Find the logarithm of the number as above, supposing all the figures^ 
 after the first to be decimals, then to that logarithm add 23025851, 
 or 4*605 1 702, or 6-90/7553, &c, according as the given number con- 
 tains 2, or 3, or 4, &c, places of integers. That is, add 2 302585092994 
 multiplied by the Index of the power of 10, by which the given num- 
 ber was divided to bring it to one integer, or within the limits of the 
 table. ' 
 
 Ex, To find the hyperbolic logarithm of 345*678. 
 This number divided by 100 or 10% to bring It within 1-2403375 
 the limits of the table, or removing the decimal point 4-6051702 
 two places, gives 3*45678, the logarithm of which as 5-8455077 
 above found Is 1*2403375, to which adding 4-6051702 
 ^he hyperbolic logarithm of 100, the sum is 5*8455077 the hyperbolic, 
 logarithm required of 345'678. 
 
OF THE TABLES. 14? 
 
 Note, The hyperbolic logarithm of any number may be also found 
 from Briggs's logarithms, viz. multiplying Briggs's logarithm of the 
 same number by the hyperbolic logarithm of 10, viz. 
 
 Multiplying by - - - - 2-30258,50929,94045,68401,79914, 
 Or dividing by its reciprocal -43429,44819,03251,82765,11289. 
 
 OF THE LOGISTIC LOGARITHMS. 
 
 These are in table 8, pages 212 216, which contain the lo- 
 gistic logarithm of every second as far as the first 80' or 4800". 
 
 The logistic logarithm of any number of seconds is the difference 
 between the logarithm of 3600" and the logarithm of that number of 
 seconds. 
 
 The chief use of the table of logistic logarithms, is for the ready 
 computing a proportional part in minutes and seconds, when two terms 
 of tlie proportion are minutes and seconds, hours and minutes, or other 
 numbers. 
 
 When two terms of the proportion are common numbers, their com- 
 mon logarithms may be used instead of their logistic logarithms, put- 
 ting the logarithm where its complement should be, and the contrary. 
 
 1. To find the Logistic Logarithm of any Number of Minutes and 
 Seconds, loithin tHe Limits of the Table, 
 
 At the top of the table find the minutes, and in the same column, 
 even with the seconds on the left-hand side, is the logistic logarithm. 
 
 Note, When hours are made any terms of the proportion, they are 
 to be taken as if they were minutes, and the minutes of an hour as if 
 they were seconds. 
 
 ^, To find the Logistic Logarithm of any Number not exceeding 
 
 4800. 
 
 In the 2d row, next the top of the table, find the number next less 
 than that given ; then in the same column, even with the difference 
 pn the left-hand side, is found the logistic logarithm. 
 
 When two given terms of the proportion are common numbers, one 
 or both greater than 4800, take their halves, thirds, &c, instead of 
 them. But when only one of the given terms is a common number, 
 and that greater than 4800, take its half, third, &c, and multiply the 
 4th term by 2, 3, &c. 
 
 The logistic logarithms in this table are all affirmative, as well above 
 as below 60'; but the index of those above 60' is — 1 ; below 60' 
 down to 6', the index is 0; and below 6', the indices (being either 1, 
 2, or 3) are expressed in the table. 
 
 U2 
 
us 
 
 DESCRIPTION AND USE 
 
 
 
 
 EXAMPLES. 
 
 
 
 " 
 
 As 60' - 
 
 _ 
 
 lo. log. 
 
 As 60' - 
 
 »» 
 
 lo. log. 
 
 As 60' - 
 
 _ 
 
 lo. log. 
 
 To 46' 12" 
 
 - 
 
 0-1135 
 
 To 78' 27" 
 
 _ 
 
 1-8836 
 
 To 1531 
 
 - 
 
 0-37 1.1 
 
 So 8 7 
 
 - 
 
 0-8688 
 0-9823 
 
 So 13 53 
 To 18 9 
 
 - 
 
 0-6357 
 
 So 40' 12" 
 To 1179 
 
 .. 
 
 0-1135 
 
 To 6 15 
 
 0-5] 93 
 
 0-4848 
 
 As 46' 12" 
 
 CO 
 
 .T«865 
 
 As 78' 27" 
 
 ' ro 
 
 .01164 
 
 As 40' 12" 
 
 CO 
 
 . T-8865 
 
 To 60 
 
 " 
 
 0-0000 
 
 To 60 
 
 
 0-0000 
 
 To 1179 - 
 
 
 0-4848 
 
 So- 6 15 
 
 - 
 
 0-9823 
 
 So 18 9 
 
 _ 
 
 0-5193 
 
 So 60' 0" 
 
 - 
 
 0-0000 
 
 To 8 7 
 
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 0-8688 
 
 To 13 53 
 As 94'^ - 
 
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 0-6357 
 .1*602 1 
 
 To 1531 - 
 
 As 24*^ - 
 
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 As 60' - 
 
 . o-oooo 
 
 . T-6021 
 
 To 4721 - 
 
 - 
 
 1-8823 
 
 To 46' 11" 
 
 - 
 
 0-1137 
 
 To 76' 34" 
 
 _ 
 
 1-8941 
 
 So 37' 28" 
 
 - 
 
 0-2045 
 
 So 8^^ 7' - 
 
 - 
 
 0-8688 
 
 So 13*^ 53' 
 
 - 
 
 0-6357 
 
 To 2948 - 
 
 - 
 
 0-0868 
 
 To 15-37" 
 
 - 
 
 0.5846 
 
 To 44' 17" 
 
 - 
 
 0-1319 
 
 As 4721 - 
 
 CO 
 
 0'1177 
 
 As 46' 11" 
 
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 T-8863 
 
 As 76' 34'' 
 
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 0-1059 
 
 To •-'<?' 0" 
 
 - 
 
 00000 
 
 To 24t^ - 
 
 - 
 
 0-3979 
 
 To 24^^ - 
 
 
 0-3979 
 
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 - 
 
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 0-2045 
 
 So 15' 37" 
 ToS'^ 7' 
 
 " 
 
 0-5846 
 
 So 44' 17" 
 To 13»» 53' 
 
 - 
 
 0-1319 
 
 To 37"28" 
 
 0-8688 
 
 0-6357 
 
 The logistic logarithms may conveniently be used in trigonome- 
 trical operations, when two of the terms are small arcs, with the lo- 
 garithmic sines or tangents of other arcs ; observing, that instead of 
 the logarithmic sine or tangent, to take the complement of their lo- 
 gistic logarithm ; and the contrary. 
 
 But this may be as readily and more naturally done by the loga- 
 rithmic sines and tangents themselves of such small arcs, as taken from 
 the next following table of sines and tangents for every second of the 
 tirst 2° or 120'. 
 
 OF THE LOGARITHxMIC SINES AND TANGENTS TO 
 EVERY SECOND. 
 
 Table <), pages 218 247, contains the log. sines and tangents 
 
 for every single second of the first 2 degrees of the quadrant ; the sines 
 being placed on the left-hand pages, and the tangents on the right. 
 The degrees and minutes are placed at the top of the columns, and the 
 seconds on the left-hand side, of each page, the logarithmic sine or 
 tangent being found in the common angle of meeting. So of I'' 52' 
 54" the log. sine is 8-5163420, and the log. tangent 8-5165762. 
 
 The same numbers are also the cosines and cotangents of the last 
 2 degrees of the qu.adrant, those degrees with their minutes being 
 placed at the bottom of the columns, and their seconds ascending 
 
OF THE TABLES. 149 
 
 on the riglit-hand side of the pages. So the cosine of 88° f 6" is 
 8-51()*3420, and its contangent S'5]6o7G2. 
 
 When it is required to find the sine or tangent &c to 3ds Sac, or 
 any other fractional part of a second, subtract the tabular sine or 
 tangent of the complete seconds from the next to it in the table, 
 and take the like proportional part of the difference; which part 
 added to, or taken from, the said tabular sine or tangent, accord- 
 ing as it is increasing or decreasing, will give the sine or tangent 
 required. 
 
 Ex. To find the log. sine of 1° 52' 54" 25'" or 1° 52' 54" |-§ or ^V 
 Here the sine of 1° 52' 54'' 1° 52' 54" sine 8-5163420 
 taken from the next leaves 1 52 55 - 8-5164061 
 641, which multiplied by 5 
 and divided by 12, or multi- 
 plied by 25 and divided by 
 
 60j gives 267 the pro. part ; pro. part. 267 
 
 this added to the first sine gives ' l** 52' 54" - 8;5 163420 
 
 that which was required. V 52' 54" 25"' 8-5 163687 
 
 On the contrary, if a sine or tangent be given, to find the corre- 
 sponding arc ; take the difference between it and the next less tabu- 
 lar number, and the difference between the next less and greater 
 tabular numbers, so shall the less difference be the numerator, and 
 the greatei- the denominator, of the fractional part to be added to the 
 arc of the less tabular number ; which fraction may also, if required, 
 be either turned into a decimal, or into 3ds &c, by multiplying the 
 numerator by 60, and dividing by the denominator. 
 
 Ex. To find the arc whose sine is 8'5 163900, 
 
 Finding the number is between the , , o.*:i«^nfii 
 
 sines of P 52' 55" and V 52' 54", J^^ \\ ' gJJg^^^O 
 take the differences between the sines ^ ^^ ^^ ^^^ 8-516390Q 
 
 as m the margm, and the differences ,.7y; j^~ 
 
 give tjx for the fraction of a second, ^j^^ - I 641 
 
 or Ij nearly, which abbreviates to 
 
 i" = 45'"; and therefore the arc sought is 1° 52' 54" 45'". 
 
 Where the 1st differences of the sines and tangents alter much, as 
 near the beginning of the table, the 2d, 3d, &c, differences may be 
 taken in, and then the logarithmic sine or tangent will be expressed 
 by this series, viz. 
 
 X — 1 . x\ — X — 2 
 
 Q= a4- X d'-1- :r. — -— D"-|- ^- -7 — *— ^i> &c, or nearly a -j- d' — | d". a: ; 
 
 where a is the next less tabular logarithm, d', d", d'", 8cc, the 1st, 2d, 
 3d, &c, differences of the tabular logarithms, and x the fractional par^ 
 of the arc over the complete seconds. 
 
150 DESCRIPTION AND USE 
 
 JSx. To find the log. tangent of 5' 1" 12'" 24''" or 5' 1" jV^ or 5' V 'SOe. 
 
 Tang. 
 5'0" - 7-1626964 
 5 1 - 7-1641417 
 5 2 - 7-165.5821 
 5 3 ^ 7-1670178 
 
 D' 
 
 14453 
 14404 
 14357 
 
 Here a = 7-1641417; x = ^%%; d'=?14404; 
 d" and the mean 2d diiF. d"= — 48. Hence 
 -49 A - - - 7-1641417 
 -47 3£d' 2977 
 
 a:.— -—D - - - w - 4 
 
 Therefore the tangent of y 1" 12'" 24"" - . - . 7-1644398 
 And on the other hand, when the sine or tangent is given, and 
 falls near the ])eginning of the table, from the same series we may- 
 find X the fractional part of a second. For suppose it be required 
 to find the arc whose tangent is 'Jl6i439S. This falling between 
 the tangents of 5' 1" and 5' 2", take the differences, &c, as above^ 
 
 and the series gives 7-1644398 = 7-J64M17 + a; d' + x,^-~~-Ji^^; 
 
 or 2981 =: 14404 x — 24. x' — x, or — 24 »* + 14428 x = 2981 ; 
 
 which gives x =z '2QG7" nearly =:: 12'" 24"", Therefore the arc 
 
 required is 5^ 1" 12'" 24"". Or rather the approximate value A-f- 
 
 f t t, • Q-A 2981 2981 ^^_ 
 
 D' — Id" . ar = q, gives x zz j. =: = = 'SOG/j, 
 
 ' ^ D .-. ^^" 14404 + 24 1 44^8 * 
 
 the same as laeforej, 
 
 of the large table of natural and logarith-^ 
 mic sines, tangents, secants, and versed 
 
 sine:s, 
 
 Table 10, page 248 337, contains all tlie sines, tangents, 
 
 secants, and versed sines, both natural and logarithmic, to every 
 minute of the quadrant, the degrees at top, and minutes descending 
 down the left-hand side as far as 45°, or the middle of the quadrant, 
 and from thence returning with the degrees at the bottom, and the 
 minutes ascending by the right-hand side to 90", or the other half 
 of the quadrant, in such scrrt, that any arc on the one side is oii| t|ie 
 same line with its complement on the other side; the respective 
 sines, cosines, tangents, cotangents, &c, being on the same line 
 with the minutes, and in the columns signed with their respective 
 names, at top when the degrees are at top, but at the bottom when 
 the degrees are at the bottom. The natural sines, tangents, &c, 
 are placed all together on the left-hand pages, and the logarithmic 
 ones all together, facing them, on the right-hand pages. Also in 
 the naturals there are two columns of the common differences, and 
 in the logarithmic 3 columns of common differences, each column 
 of differences being placed between the two columns of numbers 
 having the same differences; so that these differences serve for 
 both their right-hand and left-hand adjacent columns : also each 
 differential number is set opposite the space between the numbers 
 whose difference it is. The numbers on the same line in those co- 
 lumns having such common differences, are mutually complements 
 
, 6^ THE TABLES. 151 
 
 ©f eadi other; so that the sum of the decimal figures of any two 
 such numbers, is always 1 integer, with in each place of deci- 
 mals. 
 
 All this will be evident by inspecting one page of each sort, as 
 well as the method of taking out the sine, &c, to any degrees and 
 complete minutes. It is howevei' to be observed, that in all the 
 log. sines, tangents, &c, and in such of the natural as have any 
 significant figure for their index or characteristic, the indices are 
 expressed in the tablcj and the separating point is placed between 
 the index and the decimal part of the number ; but in several co- 
 lumns of the natural sines, &c, having for their integer or index, 
 both the Index and decimal separating point are omitted ; and where- 
 ever this is the case, it is to be understood that all the figures in such 
 columns are decimals, wanting before them only the separating point 
 and index 0. / 
 
 The sine, tangent, or secant of any arc, has the same value, or 
 IS expressed by the same number, as the sine, tangent, or secant of 
 the supplement of tliat arc ; for which reason the tables are carried 
 only to a quadrant or QO degrees. 'So that when an arc is greater 
 than ^0^, subtract it from 180^, and take the sine, tang, or secant of 
 the remainder, for that of the arc given. But this property does not 
 take place between the versed sines of arcs and their supplements : 
 and to find the verged sine of an arc greater than 90'', proceed thus : 
 in the natural versed sines, to radius add the natural cosine, the sum 
 will be the natural versed sine ; and in the log. versed sines, add 
 O 30 10300 to twice the log. sine of half the arc, the sum, abating 
 radius 10*0000000, will be the log. versed sine required 
 
 1. Given any Arc ; to find its Sine, Cosine, Tangent, §-c. 
 
 Seek the degrees at the top or bottom, and the minutes respectively 
 on the left or right ; then on the same line with these is the sine, &c, 
 each in its proper column, the title being at the top or bottom, accord- 
 ing as the degrees are. 
 
 But when the given arc contains any parts of a minute, interme- 
 diate to those found in the table : take the difference between the 
 tabular sines, &c, of the given degrees and minutes, and of the minute 
 next greater; then take the proportional part of that difference for the 
 parts of the minute, and add to it the sine, tangent, secant, and versed 
 sine, or subtmct it from the cosine, cotangent, cosecant, or coversed 
 sine, of the given degrees and minutes ; so shall the sum or remainder 
 be the sine, &c, required. 
 
 Note, liie proportional part is found thus, as I' is to the given 
 intermediate part of a minute, so is the whole difference to the pro- 
 portional part required; which therefore is found by multiplying 
 the difference by the said intermediate part. Also that intermediate 
 part may be expressed either by a vulgar fraction, or a decimal, or a 
 sexagesimal in seconds, thirds, &c, and the fraction or sexagesimal 
 
152 
 
 DESCRIPTION AND USE 
 
 may be first reduced to a decimal, if it be tbougbt better so to do, by 
 dividing tbe numerator of tbe fraction by the denominator, or by di- 
 viding the sexagesimal by 60. 
 
 EXAMPLES. 
 
 1. To find the natural sine of 
 I'* 48' 28" 12'". 
 
 In the column of difference between 
 the natural sines of l*" 48' and 1* 49' 
 IS the difference 2907 ; and 28" 12'" 
 being =28-2" = '47'; therefore as 
 1 : 2907 : : -47 : the pro. part -f 1306 
 to which add sin- 1^48' 03 1 4 1 68 
 
 makes sin. of 1° 48' 28" 12'" 0315474 
 
 2. To find the natural tangent of 
 
 9' 10" 24'" 
 
 3. To find the nat. coversed sine of 
 
 4° 6' 5" 40'". 
 I : 2902 (tab. dif.) : :tVV = | __274 
 y'40"': pro. part -3 
 4° 6' covers - - 9285026 
 4° 6' 5" 40'" 
 
 9284752 
 
 5. To find the log, sec. of 7° 12' 50". 
 
 l;I60tab.dif.::|'=50": pr.pt. + 133 
 
 7° 12' secant - 10-0034381 
 
 8^ 
 
 5« 10' tan; 
 3 9 
 
 1435084 
 1432115 
 
 r\2' 50" 
 
 10-0034514 
 
 diff". 2969 
 
 I :2969::(10"24"'=)-I7'i: + 515 
 
 8« 9' - - 1432115 
 
 8° e' 10" 24'" - 1432630 
 
 4. To find the logarithmic cosine of 
 
 6* 8' 42" 
 
 l:136(tab.dif.)::'7'=42": pr.pt. -95 
 6° S' cosine - 9-9975069 
 6»8'42" - - 9-9974974 
 
 6. To find the logarithm cotangent of 
 
 39 » 4' 12'' 20'". 
 
 1 : 2581 tab. dif. :: -201= 7 .^, 
 
 12" 20'": pro. part. ] —^^^ 
 
 39° 4' cotan. - 1 0-0905978 
 
 39° 4' 1 2'' 20'" - 1 0-0905447 
 
 The foregoing method pf finding the proportional part of the 
 tabular difference, to be added or subtracted, by one single propor- 
 tion, is only true when those differences are nearly equal, and may 
 do for all except for the tangents and secants of large arcs neai' 
 the end of the quadrant in the natural sines, &c, and in the log. 
 sines, &c, except the sines and versed sines of small arcs, the tan- 
 gents of both large and small arcs, and the secants of large ares. 
 And when much accuracy is required, these excepted parts may be 
 found by the series used in the last article, viz. q =: a + cT d' -f 
 
 -r^" + ^ 
 
 1 x-S 
 
 ^ , ^c. or = A -f- d' — |d" . X nearly ; where 
 
 A is the tabular number for the degrees and minutes, d', d", d"', 
 &c, the 1st, £d, 3d, &c tabular differences, and oc the fractional 
 part over the complete minutes, &c; at least it may be proper 
 to find the tangents and secants of very large arcs from this series ; 
 but as to the log. sines, versed sines, and tangents of small arcs, 
 they may also be found, perhaps easier, from their correspond- 
 ing natural on^es, viz. find the natural sine, versed sine, or tangeni 
 
OF THE TABLES. 
 
 153 
 
 of the given small arc, and then find the log. of such natural number 
 by the I st or large table of logarithms, which will be the log. sine, 
 &c, requiried. And the log. tangent and secant of large arcs will be 
 also found by taking the difference between 20 and their log. cotan- 
 gent and cosine respectively. And lastly, the natural tangents and 
 secants of large arcs may also be found by first finding their lo^. tan- 
 gent and secant, and then finding the corresponding number. 
 
 EXAMPLES. 
 
 I. To find the log. sine of 1® 48' 28' 12'". 
 The natural sine, found in Ex. 1. above is 
 <)31.5474; and the log. of this is 8-49896 3e 
 which is the log. sine re(j[uired. 
 
 3. To fi!)d the log. tang, of 2° 23' 33" 36"'. 
 
 2° 23' its nat. tan. - - 04162J0 
 1 : 29 1 4 tab. dif. : : •56' = 33" 3 6'": -f- 1632 
 
 2» 93> 33" 36'" nat. tan. - 0417842 
 Its log. 2 23 33 36 log. tang. 8-621012! 
 
 5. To find the log. sec. of 88" 1 1' 3 1" 48'". 
 Its complement is - - 1 48 28 12 
 Its log. sine in Ex. 1 is - - 8-4989636 
 Which taken from - - - 20-0000000 
 Leaves lo. sec. 88° 1 1' 31" 48"' ll-50>0364 
 
 In the 6th example, the natural secant 
 is found by the differential series to be 
 31-698339. But by taking the number to 
 the logarithm of it, as found in the 5th 
 example, it is 3 1-698353 ; which seems to 
 be the more accurate, as well as the easier 
 way ; and indeed this method by the series 
 seems to be, in some instances, more trou- 
 blesome, and less accurate, than finding 
 the secant by dividing 1 by the cosine. 
 
 2. To find the log. vers, of I' 48' 28" 12'' 
 
 lo 48' nat. vers. - - - 000493^ 
 
 1 : 92 tab. dif. : : -47' = 28" 12'" : ~\- 45 
 
 . 1*> 48' 28" 12" nat. vers. - •0004.-^7'/ 
 
 Its log. 1 48 28 12 log. vers. Q-69f)967t 
 
 4. To find the log. tang, of 87° 36' 26" 24'" 
 Its complement is - - - 2 23 33 36 
 Whose log. tang, in Ex 3 is 8-62 1 01 21 
 Taken from 20 OOOOOOC 
 
 Leaves log. tan. 87° 36' 26" 24'" ns789871 
 
 6. To find the nat. sec. of 88** 11' 31" 48"i 
 
 nat. sec. 
 88° 9' 30-976074 _^:„„ D" 
 88 10 31-257577 
 88 11 31-544246 
 88 12 31-836225 
 88 13 32-133663 
 
 Hence a = 31-544246 ; d' = 291979; 
 D" = 5310; the mean d'" = 146; 
 
 X = '53' = 31" 43'"; x.-^^^^ = --12455 
 
 281503 
 286669 
 291979 
 297438 
 
 5166 
 5310 
 5459 
 
 D"' 
 
 144 
 149 
 
 .r-1 
 
 X. 
 
 == -06125. 
 
 2 3 
 
 Then A - 31 -544241 
 
 X d' - 15474! 
 
 x~ 1 
 
 X. d" --66' 
 
 2 
 
 x— 1 x—2 ^ 
 
 31-6983: 
 
154 
 
 DESCRIPTION AND USE 
 
 2. Given any Sine, Tangent, fifc. to find its Arc, 
 
 Take the difference between the next less and greater tabular num- 
 bers of the same kind, and the difference between the given number 
 and said next less or next greater tabular number, according as the 
 given number is a sine, tangent, &c, or a cosine, cotangent, &c, noting 
 its degrees and minutes ; then the two differences will be the terms of 
 a vulgar fraction of a minute, to be added to those minutes, to give the 
 arc required. 
 
 And this vulgar fraction may also, if required, be reduced to a deci- 
 mal by dividing the less or numerator by the denominator, or brought 
 to sexigesimals, by multiplying by 60, &c. Also, where the tabular 
 differences are printed, the subtraction of the less tabular number from 
 the greater is saved. 
 
 EXAMPLES, 
 
 1 . To find the arc to the natural sine 
 
 •0315474. 
 Ans. 1° 48' 28" 12'" 0315474 
 Subtr. 1 48' next less 03 1 4 1 08 
 
 Tab.diff. 
 
 1366 
 
 60 
 
 2907 ) 81960(28" 
 5814 ■ 
 23820 
 23256 
 
 564 
 60 
 
 2907 ) 33840 ( 12'" 
 
 *2. To find the arc to natural tang. 
 
 •1432630 
 
 Next greater - 1435084 
 
 Ans. 8" 9' 10" 24'" 1432630 
 
 Next iess,subt. fr. each 14321 15 
 
 515 
 
 . 60 
 
 Tab, difference 2969 ) 30900 ( 10" 
 -,- . 29690 
 
 1^210 
 60 
 
 72600 ( 24" 
 5938 
 13220 
 
 3. To find the arc to logarithm cosine 
 9-9974974. 
 6° 8' - 9-9975069 
 Answer 6* 8' 42" 9-9974974 
 
 95 
 60 
 
 Tab. difference 
 
 136)5700 
 544 
 26© 
 
 4. To find the arc to logarithm cot, 
 10-0905447. 
 39° 4' - 10.0905978 
 Ans. 39° 4' 12" 20"' 10-0905447 
 ~53r 
 
 Q0_ 
 
 Tab. difference 2581 ) 31860 ( 12'' 
 2581 
 6050 
 5162 
 
 888 
 60 
 
 2581 ) 53280 (20'* 
 5162 
 
 1660 
 
OF THE TABLES. 
 
 155 
 
 The above method of proportioning by the first difference alone, 
 can only be true when the other differences are nothing, or very small ; 
 but other means must be used when they are large, viz. for the natural 
 tangents and secants of very large arcs; and for the logarithmic sines, 
 and versed sines of small arcs, also the log. secants of large arcs, with 
 the log. tangents and cotangents both of small and large arcs. When 
 the log. sine, versed sine, or tangent of a small arc is given, by means 
 of the table of logarithms find the corresponding natural number, and 
 then the arc answering to it in the table of natural sines, &c. But 
 when the log. tangent or secant of a large arc is proposed, subtract it 
 from 20, the remainder is the log. cotangent or cosine, wliich will be 
 the log. tangent or sine of a small arc which is the complement of that 
 required, which complement will be found as in the last remark, by 
 taking the corresponding natural number, and finding it in the natural 
 tangents or sines ; then subtracting that complemental arc from 90% 
 leaves the required large arc answering to the proposed log. tangent or 
 secant. And when the natural tangent or secant of a large arc is pro- 
 posed, change it into the log. tangent or secant of the same, by taking 
 the log. of the proposed natural number; then proceed with it as 
 above in the last remark. — Or, what relates to the log. sines and tan- 
 gents of small arcs, or cosines and cotangents of large ones, will be 
 best performed by the foregoing table for every second of the first 2 
 degrees. 
 
 EXAMPLES. 
 
 1. To find the arc to natural tangent 
 50-0000000. 
 
 20O000000 
 Given 50-0000000 its log. 11-6989700 
 •02 - - - - 8-3010300 
 •0197830 nat. tan. of 1° 8' 
 
 2170 
 
 60_ 
 
 2910) 130200 ( 44" 
 1164 
 1380 
 1164 
 
 216 
 60 
 
 12960 ( 44W 
 1164 
 1320 
 
 Hence from - - 
 Take the comp. - 
 Leaves arc required 
 
 90» Of 0" d" 
 1 8 44 44 
 
 51 15 16 
 
 2. To find the arc to natural secant 
 31-6983333. 
 
 20-0000000 
 G i ven 3 1 -69 8 1 its log. 11-5010365 
 •0315474 - - 8-4989635 
 •0314108 nat. sine of 1° 48' 
 
 1366 
 60 
 
 2907 } 81960 ( 28" 
 5814 
 23820 
 23256 
 
 5(j4 
 60 
 33840" ( 12"' 
 2907 
 4770 
 
 Hence from - 
 Take the comp. 
 Leaves arc required 
 
 00^ 0' 0" 0'/' 
 1 48 28 12 
 
 88 11 31 48 
 
 X2 
 
156 
 
 TRIGONOMETRICAL RULES. 
 
 In a right-lined triangle, whose sides are a, b, c, and their opposite angles, a, b, c; 
 ving given any three of these, of which one is a side j to find the rest. 
 
 t s for the sine, s' the cosine, t the tangent, and t' the cotangent, of an arch or angle, 
 to the radius r ; also l for a logarithm, and i! its arithmetical complement. Then 
 
 Case 1. When three sides a, b, c, are 
 given. 
 
 it p = !• A -f- B + c or semiperlmeter. . 
 
 ^ ,(p — a) X (p — e) 
 len s. f c == Ta/ i 1. 
 
 A X B 
 
 ^ , y ,p X (p — c) 
 
 id s'. I c = r^ i \ 
 
 ; A X B 
 
 i, 1 C = 1. (l. P— a -I-;- ^— B -f- l' A -f ^^' b), 
 i.-|c = ^ (l. P -}- L. P— -f -J-l' a -|- l' b). 
 
 ne, When a = b, then 
 
 c > . , , _ A^^i c* 
 
 If the angle c be right, or = 90° j then 
 
 A , b 
 
 i. a =.- r; t. o = - r ; 
 
 B A 
 
 c = — A, or = — r B, or = -s/a^ -f- B^' 
 s.« s.o 
 
 If a = B ;' then ") s, | c . 
 
 a = ^» = 90« - i c, and j ^ = -7- X ^a. 
 
 I c = -X -— . And s' i c = r^' 
 
 A. 2 A' 
 
 C«5e 3. When a side and its opposite 
 angle are among the terms given. 
 
 Then — = — 7 = — ; from which equa- 
 
 S.(2 S.O S,C ^ 
 
 ,« 2. Given two sides a, b, and U>eir """' ""^ '"■■" "'"'"' ""y *"= f"""''- 
 
 included angle e. . When an angle, as a, is 90°, and a and 
 
 , „_o , 1 . T A — B c are given, then 
 
 it s = 90° — I c, and t. ^ = X t. s: , , J ,v ■ 
 
 en a = s H- <^; and 6 = s - c?. And And l. b = | (l. a -f c 4. l. I^) 
 
 = V^ I " -|" ^_jj]*\ 
 
 . . . . '''^ ^ote, When two sides a, b, and an angle 
 
 • in logarithms, patting l. q = a opposite to one of them, are given ; if a 
 
 . (a-b). and l. r = l. 2a + l. 2b + be less than b, then b,c, c, hare each two 
 
 s. 2 c— 20, values; otherwise, only one value, 
 sn L. c =: I L. (q-j-r). 
 
TRIGONOMETRICAL RULES. 
 
 157 
 
 1 a spheric triangle, whose three sides are a, b, c, and their opposite angles, a, h, c; 
 any three of these six terms being given, to find tlie rest. 
 
 se 1. Given the three sides a, b, c. 
 r\g 2p the perim. or p = I(a-J-b-|-c), 
 s. (p — a) X s. (p — b) 
 
 S. A X S. B 
 
 ;. PXS. (P — c) 
 
 s. f c = r^/- 
 s' I c = r*/- 
 
 S. AXS. B 
 
 c=:f (L.S.P — A-}-L . s. P — b-}-l's.a-}-l's. b) 
 = ^ (l. s. p -f- l. s. p — c -4- l' s. a -{- l' s. b). 
 the same for the other angles. 
 
 Case 2. Given the three angles. 
 
 2p z=z a -{- b -{- c. Then 
 
 s p X s' (/) — c) 
 c = ry' 
 
 And 
 
 c = r^/ 
 
 Then s' M : s' N : : sa : s' c, like or unljke n 
 as c is y or A QO'. Or, 
 
 s. a X ^. B X s"" I 
 
 s. ax s. 
 s' {p — a) X s' {p ~ b) 
 s. a X s. b 
 
 t c =^ (l. s' p -f- L. s'jt> — c -j- l' s. a -f- l' s. 5) 
 
 r C =:-| (l. s'jD — a-j-L. s'^ — i-|- l' S. «-|-l' S. /;) 
 
 the same for the other sides. 
 ote, The sign y signifies greater than, 
 Z. less than ; also c/2 the difference. 
 
 e 3. Given a, b, and included angle c. 
 
 ind an angle a opposite the side a, let 
 ' c : : t. A : t. M, like or unlike a, as c is 
 ir A. 90° ; also n = b i/2 m : 
 
 I s. N : s. M : : t. c : t. a, like or unlike 
 
 c as M is 7 or iil B. 
 let s' |. A -f b : s' |. a CZ2 b : : t' \c : 
 , which is y or /i 90**. as a -j- e is y or 
 L 80°. and s.|. a -j- b : s. a c/} b : : t' f 
 . N, y 90°, then a = m + n ; and h = 
 
 - N. 
 
 o'-I 
 
 rr 
 
 S'f.AC/2 b. 
 
 In logarithms, put l. q 
 
 and L. R =: L. s. A -{- L. s. b + 2 L. s. 
 
 I c - 20 j then l. s, f c = | l. (q -j- r). 
 
 Crwe 4. Given rti, h, and included side c^ 
 
 First, let r : s' c : : t. a : t' m, like or un- 
 like a as c is y or Z. 90° ; also n =i b <ji m. 
 Then s' n : s' m : : t. c : t. a, like or unlike 
 
 n as a is y or Z. 9 0°. 
 Or,let s' \.a-\-b'. s' ^.a:n 6 : : 1. 1 c : t. m, 
 
 y or z. 90O as « -f b \ s y or Z. 1 80« ; 
 and s. f a-\- b : s. i « r. 6 : : 1. 1 c : t^, y 
 
 90** ; then a = m ± n ; and b = m + n. 
 
 Again, let r : s' c : : t. a : t' ;w, like or un- 
 like a as c is y or /L 90° ; 
 and n =z b zn mi 
 then s. m. : s. « : : s' a : s' c, like or unlike 
 a as m is y or Z. b. 
 
 Case 5. Given a, b, and an opposite an- 
 gle a. 
 
 1st. s. a • s. a : : s. B : s. Z?, y or z. 90^ 
 
 2nd. Let r : s'b : : t. « : \' m, like or unlike 
 B as a is y or Z. 90'* ; 
 
 and t. A : t. b : : s' ??* : s' n, like or unlike 
 
 a as a is y or Z. 90°; 
 
 then c =z m :i:_ n, two values also. 
 
 3dly. Let r : s' a : : t. b : t. m, like or un-» 
 
 like B as a is y or Z. 90<' ; 
 
 and s'b : s'a : : s'm : s' n, like or unlike a 
 
 as a is y or Z# 90*» ; 
 
 then c = M ± N, two values also. 
 
 But if A be equal to b, or to its supple- 
 ment, or between b and its supplement; 
 gain let r : s' c : : t. A : t. M, like or un- then is b like to b : also c is = ?« Jk n, and 
 A as c is y or Z. 90° ; and n = e v: m. c = m ^ n^ as b is like or unlike a. 
 
158 
 
 TRIGONOMETRICAL RULES. 
 
 Case 6. Given a, h, and an opposite side a. 
 
 1st. s. a : s. A. : : s. 6 : s. B, "7 or Z. 90^ 
 
 2nd. Let r : s' 6 : : t. a : t. m, like or unlike 
 
 Z> as A is 7 or Z. \)0° ; 
 and t. a : t. 6 : : s. M. : s. N, 7 or Z. 90° : 
 then c = M ± N, as rt is like or unlike b. 
 
 3dly. Let r : s' a : : t. /> : t' m, like or un- 
 like b as A y or il 90°; 
 and s b : s' a : : s. m : s. n, 7" or Z. 90° : 
 then c = w ± n, as a is like or unlike b. 
 
 But if A be equal to b, or to its supple- 
 ment, or between b and its supplement ; 
 then B is unlike b, and only the less values 
 of N, 71, are possible. 
 
 / 
 
 Note, When two sides a, b, and their op- 
 posite angles a, b, are known; the third 
 side c, and its opposite angle c, are readily 
 found thus : 
 
 s. I a v:! b : s. ^. a -\- b : : t. | a c/} b : t. | c. 
 s. f . A cc B : s. f . A + B : : 1. 1. a oj b :t, ^c. 
 
 III. In a right-angled spheric trian 
 where h is the hypotenuse, or side oppc 
 the right angle, b, p, the other two sides, 
 b,p, their opposite angles; any two of tl 
 five terms being given, to find the rest; 
 cases, with their solutions, are as in the 
 lowing table. 
 
 The same table will also serve for 
 quadrantal triangle, or that which has 
 side = 90°, h being the angle opposit 
 that side, b, p, the other two angles, an 
 p, their opposite sides : observing, instea 
 H to take its supplement : or else mutu: 
 changing the terms like and unlike for e 
 other wiiere h is concerned, and its 
 value is taken. 
 
 Case 
 1 
 
 Given 
 
 Req^ 
 
 SOLUTIONS. 
 
 H 
 
 b 
 
 b 
 
 P 
 p 
 
 s. H : r : : s.B : s.b, and is like b 
 Of r>' I '. '. J.. '. ~\.r> 7 or Z. 90° as n is like or unlike b 
 
 » . Jo . 7 . . S .H . S.P \ 
 
 2 
 
 H 
 
 b 
 
 B 
 P 
 P 
 
 r : s.H : : s.b : s.b, like b 
 
 I \ s'.H : : Tb : i'p}' "7 ov Z. 90° as h is like or unlike b 
 
 ' 3 
 4 
 
 b 
 
 b 
 
 H 
 P 
 P 
 
 s.b : r : : S.B : s.h 1 
 
 r : t.B : : t'^.b : s.p >, each y or Z. 90°; both values true 
 s'.B : r : : s.b : s.p) 
 
 b 
 
 p 
 
 H 
 b 
 P 
 
 r : t'.B : : s.p : t'.H, 7 or Z. 90** as b is like or unlike ^ 
 r : s'.B : : s.p : s'.b, like b 
 r : s.b : : t.p : t,p, likep 
 
 5 
 
 B 
 P 
 
 H 
 b 
 
 P 
 
 r : s'.B : : s'.p : s'.H, Z. or 7 90° as b is like or unlike p 
 r : s.p : : tJ.B : t',h, like b 
 r : s.B : : t.p : t.p, like p 
 
 6 
 
 P 
 b 
 
 H 
 B 
 P 
 
 r : V.b : : V.p : s'.H, 7 orZ. 90° as b is like or unlike p 
 s.p : r : : s'.b : s'.b, like b 
 s.b : r : : s'.p : s'.p, like/) 
 
TRIGONOMETRICAL RULES. 
 
 159 
 
 The following Propositions and Remarks, concerning Spherical Tri- 
 angles, (selected and communicated by the Reverend Nevil Maske- 
 lyne, D. D. Astronomer Royal, f. r. s.) will also render the Calcu- 
 latjon of them perspicuous, and free from Ambiguity. 
 
 " 1 . A spherical triangle is equi- 
 lateral, isoscelar, or scalene, accord- 
 ing as it has its three angles all equal, 
 or two of them equal, or all three 
 unequal ; and vice versa, 
 
 2. The greatest side is always op- 
 posite the greatest angle, and the 
 smallest side opposite the smallest 
 angle. 
 
 3. Any two sides taken together, 
 are greater than the third. 
 
 4. If the three angles are all acute, 
 or all right, or all obtuse ; the three 
 sides will be, accordingly, all less 
 than 90°, or equal to 90®, or greater 
 than 90°; and vice versa. 
 
 5. If from 
 the three an- 
 gles A, Bj c, 
 of a triangle 
 ABC, as poles, 
 there be de- 
 scribed, upon 
 the surface 
 of the sphere, three arches of a 
 great circle de, df, fe, forming by 
 their intersections a new spherical 
 triangle def; each side of the new 
 triangle will be the supplement of 
 the an^le at its pole j and each angle 
 
 of the same triangle, will b« the sup- 
 plement of the side opposite to it 
 in th« triangle a b c. 
 
 6. In any tri- 
 angle A B c, or 
 A 6 c, right an- 
 gled in A, 1st, 
 The angles at 
 the hypotenuse 
 are always of 
 the same kind 
 as their opposite sides; 2dly, The 
 hypotenuse is less or greater than a 
 quadrant according as the sides in- 
 cluding the right angle are of the 
 same or different kinds ; that is to 
 say, according as these same sides 
 are either both acute or both obtuse, 
 or as one is acute and the other ob- 
 tuse. And, vice versa, 1st, The 
 sides including the right angle, are 
 always of the same kind as their op- 
 posite angles: 2dly, The sides in- 
 cluding the right angle will be of 
 the same or different kinds, accord- 
 ing as the hypotenuse is less or more 
 than 90o : but one at least of them 
 will be of 90", if the hypotenuse is 
 so." 
 
X60 
 
 THE CASES OF PLANE TRIANGLES RESOLVED BY 
 LOGARITHxMS. 
 
 XN this and the foilowing sojutioas 
 of spherical triangles, it is to be ob- 
 served, that when we say the sine, 
 tangent, &.C, we niean the logarithmic 
 sine, tangent, &c, as found by the 
 table. 
 
 Prop. I. Having the angles, and one 
 side; to find either of the other sides. 
 
 Add the logarithm of the given 
 side to the sine of the angle opposite 
 to the side required, and from the 
 sum subtract the sine of the angle 
 opposed to the given side ; the re- 
 mainder will be the logarithm of 
 the side required. 
 
 Example, in the triangle bod, hav- 
 ing the angle cdb 90°. cbd 51° 5Q', 
 BCD 38° 4' and the side bd 197*3 ; 
 to find the side cd. 
 
 2-2951271 log. of 197-3. 
 
 9-8961369 sin. of 51- 55' 
 12-1912640 sum 
 
 9-7899^80 sin. of 38-4 
 
 2- 40 127 60 log. 251-9278 CD req. 
 
 Or you may add the complement 
 of the sine of the angle opposed to 
 the given side, to the two other loga- 
 rithms, the sum (abating radius) is 
 the logarithm of the side required ; 
 as shown in art, 3 of Log. Avith. 
 And it is to be observed that the com- 
 plements of the sines in the table are 
 to be found in the columns of the 
 cosecants : for (passing over the first 
 
 unit) the cosecants of the same arcs 
 are the complements of the same 
 sines. Also the complements of the 
 tangents, are the cotangents. 
 
 Example. The sine of 38° 4' being 
 
 9-7899880, the cosecant of 38° 4' is 
 
 10-2I001 20,which (omitting the first 
 
 unit) is the complement of the said 
 
 sine. 
 
 0-2100120 CO. of sin. 38° 4' 
 2 2951271 log. -of 197-3 
 9-8961369 sin. of 51° 56' 
 2-40 127 60 log. 25 1 -9278, as before. 
 
 But if one side and the angles, of a 
 right-angled triangle, be known, and 
 5'ou would have the other side, as in 
 the former example, the operation 
 will be easier thus: 
 
 Add the tangent of the angle op- 
 posite to the side required, to the 
 logarithm of the giyen side, the sum 
 (abating radius) is the logarithm of 
 the side required. 
 10-1061459 tan. 5lo56' 
 
 2-2951271 log, of 197-3 
 
 2-4012760 log.251-9273 as before. 
 
 Prop. II. Having tivo sides, and an 
 angle opposite to one of them ; to 
 find the other tivo angles, and the 
 third side. 
 
 Add the sine of the angle giren, to 
 the logarithm of the side adjoining 
 that angle, and from the sum subtract 
 the logarithm of the side opposite to 
 that angle, or add its arithmetical 
 coinp. the remainder or sum will be 
 the sine of the angle opposite to the 
 adjoining side. 
 
 Example. In the triangle a b c, 
 having the side ac 800, ec 320, and 
 
OF RIGHT-LINED TRIANGLES. 
 
 IGl 
 
 the angle abc 128° 4'; to find the 
 angles bac, acb, and the side ab. 
 
 7-0969100 ar. com. log. 800. 
 2-5051300 log. of 320. 
 9-8961369 sin. 128'' 4'. 
 0-4981969 sin. 18 21 bac. 
 
 Having bag and abc, the angle 
 acb is their supplement to 180% viz. 
 33° 35'; and you may find the side 
 AB by the first proposition. 
 
 Prop. III. H(toing two sides and the 
 angle between them ; to find the other 
 two angles, and the third side. 
 If the angle included be a right 
 angle, add the radius to the logarithm 
 of the less side, and from the sum 
 subtract the logarithm of the greater 
 side, or add its arith. comp. : the re- 
 mainder or sum will be the tangent 
 of the angle opposed to the less side. 
 Example. In the triangle ecd, hav- 
 ing the side be 197-3, and cd 251-9 ; 
 to find the angles bcd, cbd, and the 
 side cb. 
 
 7-5987728 ar. com. log. 251-9 
 1 2-295 1271 rad. -\- log. 197-3 
 9-8938989 tan. 38° 4' bcd. 
 
 But if the angle included be ob- 
 lique, add the logarithm of the dif- 
 ference of the given sides to the tan- 
 gent of half the sum of the unknown 
 angles, and from the sum subtract the 
 logarithm of the sum of the given 
 sides, or add its complement ; the 
 remainder or sum will be the tangent 
 of half their difierence. 
 
 Exa?nple. In the triangle abc, hav- 
 ing the side ab 562, bc 320, and the 
 angle ABC 128° 4'; to find the angles 
 BAC, acb, and the side ac. 
 
 The sum of the given sides is 882, 
 and the difference 242, the half sum 
 of the unknown angles is 25o 38'. 
 
 7-0545314 com. log. 882 
 2-3838154 log. of 242 
 9-687.-3402 tang. 25" 53' 
 9-l258b70 tang. 7 37 
 
 Angle acb - 33 35 sum. 
 Angle CAB - 18 21 dif. 
 
 These 7" 37' being added to 25» 
 58' the half-sum of the angles un- 
 known, the sum is 33° 35' for the 
 greater angle acb ; and the same 7'^ 
 37' being subtracted from 25° 58', the 
 remainder is 18° 21' for the lesser 
 angle cab. Lastly, knowing the an- 
 gles, and two sides, the third side may 
 be found by the first proposition. 
 
 Prop. IV. Having the three sides ; to 
 find any angle. 
 
 Add the three sides together, and 
 take half the sum, and the differences 
 betwixt the half-sum and each side : 
 then add the complements of the lo- 
 garithms of the half-sum, and of the 
 diftbrence between the half-sum and 
 the side opposite to the angle sought, 
 to the logarithms of the differences 
 of the half-sum, and the other sides, 
 half their sum will be the tangent of 
 half the angle required. 
 
 Example. In the triangle a e c, 
 having the side ab 562, ac 800, and 
 Bc 320 
 
 to find the angle abc 
 
 AC = 800 
 ab = 562 
 BC rz 320 
 
 H = 841 - CO. 7-0752040 
 H-AC=4I CO- 8-3872161 
 H-AB=279 -2-49560^2 
 
 H-BC=521 -2-7168377 
 
 |^sum'8¥i'=H sum 20-6248020 
 
 sum 1682 
 
 Tang, of 64°2'=isum 10-3124310 
 Whose double 128" 4' is the angle ABC, 
 
IG^ 
 
 THE CASES OF SPHERICAL TRIANGLES RESOLVED 
 BY LOGARITHMS. 
 
 X HE resolution of spherical tri- 
 angles is to be performed by the 
 table of sines, tangents, and secants ; 
 which we shall show by the 28 pro- 
 positions following; whereof 16 are 
 of right-angled, and 12 are of ob- 
 lique triangles; and first 
 
 Of right' angled Triangles. 
 
 Prop. I. Having the legs ; to find the 
 hypotenuse. 
 Add the cosine of one \e.g, to the 
 cosine of the other leg; the sum (a- 
 bating radius) is the cosine of the hy- 
 potenuse required. 
 
 Example. In the fight-angled tri- 
 angle ABC, having ac 27° 54', and 
 Bc 11" 30'; to find ab the hypote- 
 nuse. 
 
 9-9911927 cosin. 11" 30' 
 9-9403371 cosin. 27 54 
 9-fJ375298 cosin. 30 ab req. 
 
 Prop. II. Having the two legs ; to find 
 either of the angles. 
 Add the sine of the leg next the an- 
 gle sought, to the cotangent of the 
 other leg: the sum (abatihgradias)is 
 the cotangent of the angle required. 
 
 Example. In the right-angled tri- 
 angle ABC, havingj ac 27° 54', and 
 BC 1 r 30' ; to find the angle bag. 
 
 9-670.1 807 sin. next leg 27° 54' 
 10-6915374 cot. opp, ]eg 1 1 30 
 i0-3G17l8l cotan. bac 23 30 
 
 Prop. III. Having the hypotenuse, and 
 one of the angles ; to find the other 
 angle. 
 
 Add the cosine of the hypotenuse 
 to the tangent of the angle given ; 
 the sum (abating radius) is the co- 
 tangent^of the angle required. 
 
 Example. In the rl^ht-angled tri- 
 angle ABC, having the hypotenuse 
 AB 30°, and the angle abc 69" 22'; 
 to find the angle bac 
 
 9-9375306 cosin. hyp. ab 30° 00' 
 10-4241896 tang. AEG - 69 22 
 10-3617202 cotan. bag - 23 30 
 
 Prop. IV. Having the hypotenuse, and 
 one of the angles ; to find the leg 
 next the given angle. 
 
 Add the tangent of the hypotenuse 
 to the cosine of the angle given; the 
 sum (abating radius) is the tangent 
 of the leg required. 
 
 Example. In the right-angled tri- 
 angle ABC, having the hypotenuse 
 AB 30", and the angle abc 69° 22'; 
 to find the leg bc. 
 
 9-7614393 tang. hyp. ab 30° 00^ 
 9-5470188 cosin. ABC - 69 22 
 9-3084581 tang, bc - - 11 30 
 
 Prop. V. Having the hypotenuse, and 
 one of the angles ; to find the leg op" 
 posed to the given angle. 
 
 Add the sine of the hypotenuse to 
 the sine of the angle given ; the sum 
 (abating radius) is the sine of the 
 leg required. 
 
 Example. In the right-angled tri- 
 angle ABC, having the hypotenuse 
 AE 30", and the angle bac 23° 30' ; 
 to find the leg bc. 
 
 9-6989700 sin. hyp. ab 30° OO' 
 9-6006997 sin. bag - 23 30 
 9-2996097 sin. bc * U ^0 
 
RESOLUTION OF SPHERICAL TRIANGLES. 
 
 163 
 
 Prop. VI. Having; one of the legs and 
 the angk next it ; to find the hypotenuse. 
 Add rhc cotangent of the given 
 leg, to t'^e cosine of the given angle; 
 the sum (abating radius) is the co- 
 tangent of the hypotenuse required. 
 
 Example. In the right-angled trian- 
 gle ABC, having the leg ac 27"^ 54', 
 and the angle bag 23" 30'; to find 
 the hypotenuse ab. 
 
 10-27ftl5d3 cot. AC - 27° 54' 
 
 9-9623P77 cos. bag - 23 30 
 
 10-2385540 cot. hyp. ab 30 00 
 
 Prop Vil. Having one of the legs, 
 and the angle next it ; to find the 
 other leg. 
 Add the sine of the leg given to 
 
 the tangent of the angle given; the 
 
 sum (abating radius) is the tangent 
 
 of the leg required. 
 
 Example^ *In the right-angled tri- 
 angle ABC, having the leg ac 27° 54', 
 and the angle bag 23° 30'; to find 
 the leg bg. 
 
 9-67 01807 sin. ag 27° 54' 
 9-6383019 tan. bag 23 30 
 9^3084826 tan. bc 11 30 
 
 Prop. VIII. Having one of the legs, 
 and the angle next to it ; to find the 
 other -tingle- 
 Add the cosine of the given leg 
 
 to the sine of the given angle ; the 
 
 sum (abating radius) is the cosine 
 
 of the angle required. 
 
 Example. In the right-angled tri- 
 angle ABC, having the leg bc 11° 30', 
 and the angle abg 69" 22'; to find 
 the angle bag. 
 
 9-9911927 cos. bg 11° 30' 
 9-9712084 sin, abc 69 22 
 9-9624011 cos. BAG 23 30 
 
 Prop. IX. Having one of the legs, and 
 the angle opposed unto it ; to find the 
 hypotenuse. 
 Add the radius to the sine of the 
 
 given leg, and from the sum subtract 
 
 the sine of the given angle, or add 
 its cosecant; the remainder or sum is 
 the sine of the hypotenuse required. 
 
 Example. In the right-angled tri- 
 angle ABG, having the leg bg 1 1° 30', 
 and the angle bag 23° 3(y; to find 
 the hypotenuse ab. 
 
 9-2996553 sin. bc 1 1° 30' '* 
 
 0-3993003 cos. bag 23 30 
 
 9-6989556 sin. ab 30 reqd. 
 
 Prop. X. Having one of the legs, and 
 the angle opposed unto it ; to find 
 the other leg. 
 
 Add the tangent of the gi-v^n leg* 
 to the cotangent of the given angle j 
 the sum (abating radius) is the sine 
 of the leg required. 
 
 Example. In the right-angled tri- 
 angle ABC, having the leg bc 1 1° 30', 
 and the angle bag 23° 30'; to find 
 the leg AC. 
 
 9-3084626 tang, eg 11" 30' 
 10-3616981 cot. BAG 23 30 
 
 9-6701 6(yr s in, a c 27 54 
 
 Prop. XI. Having one of the legs, and 
 the angle opposed unto it ; to find 
 the other angle. 
 
 Add the radius to the cosine of the 
 given angle,and from the sum subtract 
 the cosine of the given leg, or add the 
 secant ; the remainder or sum is the 
 sine of the angle required. 
 
 Example. In the right-angled tri- 
 angle ABC, having the leg bc 1 1° 30', 
 anil the angle bag 23° 30'; to find 
 the angle abg. 
 
 9-9623977 cos. bag 23° 30' 
 0-0088073 sec. bg 11 30 
 9-97 12050 sin. abg 69 22 
 
 Prop. XII. Having on^ of the legs, and 
 the hypotenuse ; to find the angle next 
 the given leg. 
 
 Add the tangent of the given leg, 
 to the cotangent of the hypotenuse, 
 the sum (abating radius) is the co- 
 sine of the angle required. 
 
 Y2 
 
164 
 
 THE RESOLUTION OF 
 
 Erample. In the right-nngled tri- 
 angle AHC, having the ieg ac 27" 54', 
 and the hypotenuse ab 30° ; to find 
 the angle bac. 
 
 9'723S4S6 tan. ac 27° 54' 
 
 10-2.'J8.5606 cot, ab 30 00 
 
 9'9t>24042 cosi. bac 23 30 
 
 Prop. XIII. Having one of the legs, 
 and the hypotenuse ; to find the angle 
 opposed to the given leg. 
 
 Add the radius to the sine of the 
 given leg, and from the sum subtract 
 the sine of the hypotenuse, or add its 
 cosecant ; the remainder or sum will 
 be the sine of the angle required. 
 
 Example. In the right-angled tri- 
 angle ABC, having the W^ bc 1 1'^ 30', 
 and the hypotenuse ab 30" j to find 
 the angle bac. 
 
 9-2996553 sin. leg bc 11° 30' 
 0-3010300 cosec. hyp. ab 30 00 
 9-6000853 sine of bag 23 30 
 
 Prop. XIV. Having one of the legs, and 
 the hi/potenuse; to find the other leg. 
 
 Add the radius to the cosine o.f the 
 hypotenuse, and from the sum sub- 
 tract the cosine of the given leg, or 
 add its secant ; the remainder or sum 
 is the cosine of the leg required. 
 
 Example. In the right-angled tri- 
 angle ABC, having the leg bc 1 1° 30', 
 and the hypotenuse ab 30°; to find 
 the leg AC 
 
 9-9-375306 cosin. ab 30° 00' 
 0-0088073 sec, bc 11 30 
 9-9463379 cosin. ac 27 54 
 
 Prop. XV. Having the angles ; to find 
 the hypotenuse. 
 Add the cotangent of one oblique 
 angle to the cotangent of the other 
 oblique angle ; the sum (abating ra- 
 dius) is the cosine of the hypotenuse 
 required. 
 
 Exa?nple. In the right-angled tri- 
 angle ABC, having the angle bac 
 
 23° 30', and the angle abc 69° 22'; 
 to find the hypotenuse ab. 
 
 0-3616981 cot. bac 23° 30' 
 9-5758104 cot. abc 69 22 
 9-9375085 cos, hyp. ab 30 00 
 
 Prop. XVI. Having the angles ; to find 
 either of the legs. 
 
 Add the radius to the cosine of ei- 
 ther oblique angle, and from the sum 
 subtract the sine of the other oblique 
 angle, or add its cosecant; the re- 
 mainder or sum will be the cosine of 
 the leg opposite to the angle whose 
 cosine was taken. 
 
 Example. In the right-angled tri- 
 angle ABC, havjng the angle bag 
 23° 30', and the angle abc 69^22'; 
 to find the leg bc. 
 
 9-9623977 cosin. bac 23^ 30' 
 0-0287916 cosec. ABC 69 22 
 9-9911893 cosin. bc 11 30 
 
 Of Oblique Triangles. 
 
 Z.— 
 
 V 
 
 S P 
 
 Prop, XVII. Having the three sides, 
 to find any of the angles. 
 Add the three sides together, and 
 take half the sum ; also the difierence 
 between the half-sum and the side op- 
 posite to the angle sought. Then add 
 the cosecants, or the complements of 
 the sines, of the other sides, to the 
 sines of the half-sum and of the said 
 difference ; half the sum of these four 
 logarithms is the cosine of half the 
 angle required. 
 
 Example. In the triangle szp, hav- 
 
 ing the side zs 40°, 
 
 PS 70°, and pz 
 
 38^ 30'; to find the angle zps. 
 
SPHERICAL TRIANGLES. 
 
 IGo 
 
 PS = 
 
 TO'* 
 
 0' 
 
 PZ = 
 
 38 30 
 
 zs = 
 
 40 
 
 
 
 Sum ua 
 
 SO 
 
 ^ sum 
 
 71. 
 
 \0 
 
 zs = 
 
 40 
 
 
 
 Diff: 
 
 34 
 
 15 
 
 cosec. 
 
 0-0270142 
 
 cosec. 
 
 0-2058505 
 
 sin. 1 sum 
 
 9-98:-i3805 
 
 sin. clif. 
 
 97503579 
 
 2 ) 
 
 cos. 1 5° 47' 
 
 lQ-9fi660.'n 
 
 9-9833015 
 
 zps 31 34 
 
 required. 
 
 Prop. XV 111. Having the three angles ; 
 to find any of the sides. 
 
 Let the angles be changed into 
 sides, taking the supplement of one 
 of them; then the operation will be 
 the same as in the former proposition. 
 
 Prop. XIX. Having two angles, and 
 a side opposed to one of them ; to find 
 the side opposed to the other angle. 
 
 Add the sine of the side given to 
 the sine of the angle opposite to the 
 side required, and from the sum sub- 
 tract the sine of the angle opposite 
 to the side'given, or add its cosecant ; 
 the remainder or sum will be the sine 
 of the side required. 
 
 Example. In the triangle szp, hav- 
 ing the angle szp 130° 3' 12", 
 spz 31« 34' 20", and the side zs 40° j 
 to find the side ps. 
 
 9-8080675 
 
 9-883829^ 
 
 850 
 
 0-2808858 
 
 1 165 
 
 SI 
 
 sm. szp 
 
 cos. SPZ 
 
 9-9729842 sin. PS reqd. 70 . , 
 See pa. 171 following. 
 
 Prop. XX. Having tioo angles, and a 
 side opposed to one of them ; to find 
 the side between the angles given. 
 
 Let a perpendicular fall from the 
 angle unknown, on its opposite side: 
 then add the cosine of the given angle 
 next the given side, to the tangent of 
 the given side ; the sum (abating ra- 
 dius) is the tangent of the first arc, 
 comprehended between the given 
 angle next the given side, and the 
 segment of the side where the per- 
 pendicular falls. 
 
 And the second arc, comprehended 
 between the same segment and the 
 other angle, is to be found thus; 
 add the sine of the arc found, to the 
 tangent of the given angle next the 
 given side, and from the sum sub- 
 tract the tangent of the other angle 
 given, or add its cotangent; the re- 
 mainder or sum will be the sine of the 
 second arc. 
 
 The sum or difference ©f these 
 two arcs will be the side required. 
 
 Example, In the triangle szp, 
 having the angle zps 31° 34' 26", 
 zsp 30° 28' 12", and the side PZ 38* 
 30' ; to find the side sp. 
 9-93037817 _^ C31° 35' ." 
 
 440 j "^^-^^^ 1 . -34 
 9-9006052 tan. pz 38 30 
 
 9-8310273 tan. pr 1st arc 34 7 
 
 30 
 
 sm. PR 
 
 tan. ZPS 
 
 cot. ZSP 
 
 {" 
 { 
 
 34 7 
 
 34 
 30 29 
 
 30 
 
 26 
 
 -48 
 52 30 
 
 7 30 
 
 
 
 9-7488698 
 932 
 9-7884529 
 1227 
 0-2301404 
 2313 
 9-7679103 sin. sr 2d arc 35 
 add PR 1st arc 34 
 sum is sp 70 
 See page 171 following. 
 
 But when the perpendicular falls 
 out of the triangle, the difference of 
 the two arcs will be the side required. 
 
 Prop. XXI. Having two angles, and a 
 side opposite to one of them ; to find 
 the third angle. 
 
 Let a perpendicular fall from the 
 angle unknown, on its opposite side : 
 then add the cosine of the given side 
 to the tangent of the adjacent angle ; 
 the sum (abating radius) is the co- 
 tangent of the first angle to be found, 
 comprehended by the given side and 
 the perpendicular. 
 
 And the second angle,comprehend- 
 ed by the perpendicular and the side 
 unknown,is to be found thus : add the 
 sine of the angle found, to the cosine 
 of the given angle opposite to the- 
 
IGG 
 
 THE RESOLUTION OF 
 
 given side, and from the sum subtract 
 the cosine of the other angle given, 
 or add its secant ; the remainder or 
 sum will be the sine of the second 
 angle. 
 
 The sum or difference of these two 
 angles will be the angle required. 
 
 Example. In the triangle szp, 
 having the angle zps 31° 34' 26", 
 zsp 30° 28' 12", and the side pz 38° 
 30'; to find the angle szp. 
 
 9-893544.4. cosin. Pz 38" 30' O" 
 y'7884529 7 , C31 34 • 
 
 1227 1 ^^"g-^^^ i • • 26 
 9-682] 200 cot. 1st A pzr 64 18 50 
 
 9-9547619 
 507 
 
 9-9353948 
 594 
 
 0-0695443 
 336 
 
 • 
 
 64 II 
 
 cos. zsp 
 
 30 29 
 
 {" 
 
 50 
 
 48 
 
 9-9598447 sin. 2d A szr 65 44 
 then add 1st /. pzr 64 18 
 the sum is szp Tso 3~l 
 
 26 
 21 
 50 
 
 Seepage 171 following. 
 
 But when the perpendicular falls 
 out of the triangle, the difference of 
 the two angles will be the angle re- 
 quired. 
 
 Prop. XXII. Having two sides, and 
 the angle between them; to find 
 either of the other angles. 
 
 Let a perpendicular fall from the 
 unknown angle, which is not required, 
 on its opposite side : then add the co- 
 sine of the given angle to the tangent 
 of the given side opposite to the angle 
 required ; the sum (abating radius) 
 is the tangent of the first arc, com- 
 prehended between the given angle 
 and the segment of the given side 
 where the perpendicular falls. 
 
 And the second arc is the difference 
 of that side and the first arc, being 
 comprehended between the same 
 segment and the angle required. 
 
 Now add the sine of the first arc^ 
 to the tangent of the given angle, and 
 from the sum subtract the sine of 
 the second arc, or add its cosecant ; 
 the remainder or sum will be the 
 tangent of the angle required. 
 
 i^xample. In the triangle szp, 
 
 having the side pz 38° 30', ps 70% 
 
 and the angle zps 31° 34' 26"; to 
 
 find the angle zsp. 
 
 9-9303781 1.„ ^ C3P34' ." 
 ^^^Icosm.zPsj . . 26 
 
 9-g006062 tang, pz 38 30 O 
 
 9 83 1027 3 tan. PR, 1st arc 3 4 7 30 
 
 taken from ps 70 
 
 leaves sr, 2d arc 35 52 30 
 
 9-7488698 7 . 
 
 932 5 ''"•''^ 
 
 9-7884529 7 , 
 
 1227 5 ^^"S- ^^^ 
 
 0-23200117 V35 
 
 8 
 
 )117 
 
 ^3 3 
 
 9-7696270 tan. zps req. 30 
 
 See page ^171 following. 
 
 To find both the unknown angles. 
 
 Add together the cosecant, or the 
 complement of the sine, of half the 
 sum of the given sides, the sine of 
 half their difference, and the cotan- 
 gent of half the angle given; the 
 sum (abating radius) is the tangent 
 of half the difference of the angles 
 required. 
 
 Add also together the secant, or 
 the complement of the cosine, of half 
 the sum of the given sides, the cosine 
 of half their difference, and the co- 
 tangent of half the angle given ; the 
 sum (abating radius) is the tangent 
 of half the sum of the angles required. 
 
 Then add the half-difference of the 
 angles required, to their h-alf-sum, 
 and you will have the greater angle; 
 and subtract the half-diff&rence from 
 the half-sum, and you will have the 
 lesser angle required, the same as in 
 the former operation. 
 
SPHERICAL TRIANGLES. 
 
 1G7 
 
 PS = 
 
 PZ = 
 
 70* 0' 
 38 30 
 
 Sum 
 DiflT. 
 
 108 30 
 31 30 
 
 1 Sum 
 i Diff. 
 
 54 15 
 15 45 
 
 Z. ZPS 
 f Z. ZPS 
 
 = 3134 26" 
 = 15 47 13 
 
 Cosec. I sum 0-0906719 
 Sin. I diff. 9-43367 46 
 Cot. ^ ZPS 10-5486352 
 
 T.49''47'30" 10-0729817 
 Half sum of angles required is . 
 Half the difference is ... 
 The greater angle szp is . . 
 The lesser angle zsp is, as before 
 
 Sec. I sum 0*2334015 
 Cosin. I diff. 9-Q833805 
 Cot. f ZPS 10-'>486 52 
 
 T.80°15'42" 
 
 ' 10-7654 72 
 
 80° 
 
 15 
 
 42" 
 
 49 
 
 47 
 
 30 
 
 130 
 
 M 
 
 12 
 
 r^o 
 
 28 
 
 12 
 
 Prop. XXIII. Having (wo sides, and 
 
 the angle between them ; to find the 
 
 third side. 
 
 Let a perpendicular fall from ei- 
 ther of the angles unknown, on its 
 opposite side: then add the cosine 
 of the given angle, to the tangent of 
 the side from whose end the perpen- 
 dicular is let fall ; the sum (abating 
 radius) is the tangent of the first arc, 
 comprehended between the given 
 angle and the segment of the side 
 where the perpendicular falls. 
 
 And the second arc is the differ- 
 ence of that side and the first arc, 
 being comprehended between the 
 same segment and the end of the 
 side required. 
 
 Now add the cosine of the second 
 arc, to the cosine of the side from 
 whose end the perpendicular falls, 
 and from the sum subtract tiie cosine 
 of the first arc found, or add its se- 
 cant ; the remainder or sum will be 
 the cosine of the side required. 
 
 Example. In the triangle szp, hav- 
 ing the side pz 38° 30', ps 70", and 
 the angle zps 31° 34' 26"; to find 
 the side zs. 
 
 9-93037817 ■ • 931° 
 
 ^^^|cosm.zPs| 
 
 9-9006052 tang, pz . 38 
 
 9- 8:^027 3 tan.PR,lstarc34 
 
 taken from ps 70 
 
 leaves su, 2d arc ^5 
 
 9^908598^1 '. C35 5^ 
 
 457} ^^^^"-^^ i . ... 
 
 9*8935444 cosin. pz 38 
 
 00820236) _ „„ (34 
 
 4^1 ^^"- ^M . , 
 
 1-8842553 cosin. zs req. 40 
 Seepage 171 following. 
 
 35' ." 
 .-34 
 30 
 7 30 
 
 52 30 
 
 30 
 7 
 
 30 
 
 
 30 
 
 
 Prop. XXIV. Having two sides, and 
 the angle opposite to one of thtm ; to 
 find the angle opposed to the other side^ 
 
 Add the sine of the angle given, to 
 the sine of the side opposite to the 
 angle required, and from the sum 
 subtract the sine of the side opposite 
 to the angle given, or add its cose- 
 cant ; the remainder or sum will .be 
 the sine of the angle required. 
 
 Example. In the triangle szp, hav- 
 ing the side ps 70°, zs 40*^, and the 
 angle szp 130° 3' 12"; to find the 
 angle zps. 
 
 9-8838294 7 • i"49° 56' ." 
 
 g3QJsm.sup.szP I ^ 
 
 9-8080675 sin. zs 40 
 
 0270142 cosec. ps .70 
 9-7189961 sin. zps req. 31 34 
 
 48 
 
 
 
 26 
 
 iSee page 171 following. 
 
 Prop. XXV. Having two sides, and 
 the angle opposite to one of them ; 
 to find the third side. 
 
 Let a perpendicular fall from the 
 angle between the sides given, on its 
 opposite side : then add the cosine of 
 the angle given, to the tangent of the 
 given side next that angle ; the sum 
 (abating radius) is the tangent of the 
 first arc, comprehended between the 
 given angle and the segment of the 
 side where the perpendicular falls. 
 
 Now the 2d arc, comprehended be- 
 tween the same segment, and the tnd 
 of the side required, is to be found 
 thus : add the cosine of the first arc, 
 to the cosine of the given side oppo- 
 side to the angle giv«n, and Irom the 
 
168 
 
 THE RESOLUTION OF 
 
 - / 
 
 sum subtract the cosine of the other 
 given side, or add its secant ; the re- 
 mainder or sum will be the cosine of 
 the second arc- 
 
 The sura or difference of these two 
 arcs will be the side required. 
 
 Exatfiple. Ttl the triangle szp, 
 having the side pz 'iS" 30', sz 40°, 
 and the angle spz 31° 34' 26"; to 
 find the side ps. 
 
 9-9303781 I f 3r 35' ." 
 
 44o| ^^'•^"" i . .-34 
 
 -9006032 tan. pz 58 30 
 
 9-8310273 tang.PR lstarc34 
 
 30 
 
 9-9178908 7 
 
 428 j ^^""* ^^ 
 9-8842540 cosin. sz . 
 01064556 
 
 C34 
 
 -30 
 40 
 
 38 30 
 
 9-9086432cosin.SR2darc35 52 30 
 add PR, 1st arc 34 7 30 
 
 sec. Pz 
 
 gives PS req. 
 
 ^0 
 
 See page 171 following. 
 
 But when the perpendicular falls 
 out of the triangle, the difference of 
 the two arcs will be the side required. 
 
 Prop. XXVI. Having tivo sides, and 
 the angle opposed to one of them; to 
 find the angle between them. 
 
 Let a perpendicular fall from the 
 angle between the sides given, on its 
 opposite side : then add the cosine of 
 the given side next the given angle, 
 to the tangent of that angle; the sum 
 (abating radius) is the cotangent of 
 the first angle to be found, compre- 
 hended by the given side next tiic an- 
 gle given, and by the perpendicular. 
 
 Now the second angle, compre- 
 hended by the perpendicular and the 
 other given side, is to be found thus : 
 add the cosine of the first angle 
 found, to the tangent of the given 
 side next the angle given, and from 
 the sum subtract the tangent of the 
 other given side, or add its cotan- 
 gent ; the remainder or sum will be 
 ihe cosine of the second angle to be 
 iound. 
 
 The sum or the difference of the 
 first and second angles, wiil be the 
 •angle required. 
 
 Exuiuple. In the triangle szp, 
 having the side Pz 38° 30', sz 40<», 
 and the angle spz 3r 34' 26"; to 
 find the angle szp. 
 
 9-8935444 cosin. pz 38° 30' o" 
 9-7884529 7 , „^ ^^^ C31 34 . 
 1227 I '^"^- '"" I . . 26 
 
 9'682l200cotan.pzR,lstZ.e4 18 50 
 
 9-6368859 7 . f64 19 " 
 
 ^,^,jcosm.PZR|^ .-,b 
 
 9-9006052 tang, pz . 38 30 
 00761865 cotan. sZ . 40 
 
 y -6 1 372 1 3 cosin. szR,2dZ. 65 44 22 
 
 add PZR, 1st Z. 64 18 50 
 
 gives SZP, req. 1^0 3 12 
 See page 171 following. 
 
 Prop. XXVII. Having two angles, 
 and the side between than ; to find 
 either of the other sides. 
 
 Let a perpendicular fall from the 
 given angle, which is next the side 
 required, upon its opposite side: 
 then add the cosine of the given side 
 to the tangent of the given angle op- 
 posite to the side required ; the sum 
 (abating radius) is the cotangent of 
 the first angle to be found, compre- 
 hended by the given side and the 
 perpendicular. 
 
 And the second angle is the differ- 
 ence between the first and the given 
 angle next the required side, being 
 comprehended by the perpendicular 
 and that side. 
 
 Now add the cosine of the first an- 
 gle found, to the tangent of the side 
 given, and from the sum subtract the 
 cosine of the second angle, or add its 
 secant; the remainder or sum will 
 be the tangent of the side required. 
 
 Example. In the ^triangle szp, 
 having the angle spz'' 31° 34' 26", 
 SZP 130" 3' 12", and the side pz 
 38«30'; to find the side sz. 
 
SPHERICAL TRIANGLES. 
 
 169 
 
 9-8P3.5414 
 9 
 
 7S8452Q \ 
 1 1^-27 I 
 
 cosm. pz - 38° 30 0' 
 
 C 31 34 
 tang, spz I" '26 
 
 y-()82r20i3cot. pzu,lst2l,64 18 50 
 
 taken from szp 130 3 12 
 
 leaves szu, 2d Z.j 
 
 65 44 22 
 
 9-G368859 7 • V 64 
 
 ^<^^ ^ cosm. pzR 
 
 9-90060-)2 tang, pz - 38 
 65 
 
 0-386 1750 7 
 1028 I 
 
 sec. szR 
 
 ^64 
 
 - 3( 
 
 19 . 
 .— ]0 
 30 
 
 44 . 
 
 . 22 
 
 9-9238126 tan. sz req. 40 
 
 
 
 See page 171 follovvmg. 
 
 To find both the unknown sides. 
 
 Add together the cosecant, or the 
 complement oF the sine, of half the 
 sum of the angles given, the sine of 
 
 half their dilference, and the tangent 
 of half the given side; the sum (a- 
 bating radius) is the tangent of half 
 the difference of the sides required. 
 
 Add also together the secant, or the 
 complement of the cosine, of half the 
 sum of the given angles, the cosine of 
 half their difference, and the tangent 
 of half the given side ; the sum 
 (abating radius) is the tangent of half 
 tlie sum of the sides required. 
 
 Then add half the difference of the 
 sides required, to their half-sum, and 
 5'ou will have the greater side; and 
 subtract the half-difference from the 
 half-sum, and you will have the lesser 
 side required, the same as in the 
 former operation. 
 
 SZP 
 .SPZ 
 
 130«' 
 31 
 
 3' 
 
 34 
 
 12^' 
 26 
 
 Sum 
 Diff 
 
 101 
 
 98 
 
 37 
 
 28 
 
 38 
 46 
 
 ^ Sum 
 iDiff 
 
 80 
 
 49 
 
 48 
 14 
 
 49 
 
 23 
 
 PZ 
 
 iPZ 
 
 38 
 19 
 
 30 
 15 
 
 
 
 
 Cosec. I sum 00,56062 
 Sin. i diff. 9-8793527 
 Tanj'. ipz 9 5430936 
 
 Sec. I sum 0-7968360 
 Cosin. idiff. 9-8148437 
 Tang. \ pz 9-5430936 
 
 Tang, of 15» 9-4280525 Tang.of55" 1^0-1547733 
 Half sum of the sides required is - - - 55" 
 
 Half their difference is - 15 
 
 The greater side sp is - - - - - - 70 
 
 Lesser side sz is, as before - - - - _ 40 
 
 Prop. XXVni. Haring two (mgles 
 and the side between them ; to find 
 the third angle. 
 
 Let a perpendicular fall from either 
 of the angles given, upon its opposite 
 side: then add the cosine of the side 
 given to the tangent of the given an- 
 gle, from which the perpendicular 
 does not fall ; the sum (abating ra- 
 dius) is, the cotangent of the first 
 angle, comprehended by the given 
 side and the perpendicular. 
 
 And the second angle is the differ- 
 ence between the first and the given 
 angle that the perpendicular fell from, 
 being comprehended by the perpen- 
 dicular and the side opposite to the 
 other angle given. 
 
 Now add the sine of the second 
 angle to the cosine of that given angle 
 from which the perpendicular did not 
 fall, and from thesum sut)tract the sine 
 
 of the first angle found, or add its co- 
 secant ; the remainder or sum will be 
 the cosine of the angle required. 
 
 Example. In the triangle szp, hav- 
 ing the angle szp 130'' 3' 12", spz 
 31° 34^ 26", and the side PZ 38° 30'; 
 to find the angle psz. 
 
 9-8935444 cosin. pz - 38 30 
 
 9-7884529 7 , C31 34 . 
 
 ___ \2Qj\ *^"^- '''^ 1 . . 26 
 
 9-682T200cotan.FZR,lstZ.,64 18 50 
 taken from szp 130 3 12 
 
 leaves SZR, 2d Z., 65 44 22 
 
 00451773 7 ^"64 1 
 
 cosec. PZR 
 
 773 7 
 101 I 
 
 cosin. spz 
 
 9-9303781 7 
 
 440 j 
 9-9598246 7 . 
 
 209_r^"-'''^ 
 
 9-9354550 cosin. psz req. 30 28 
 
 See page 171 following. 
 
 . .—10 
 31 35 . 
 
 . .—34 
 Q5 44 . 
 
 . . 22 
 
170 
 
 THE RESOLUllON OF 
 
 rOR THE USE OF THE VERSED SINES MAY BE ALSO ADDED 
 THE FOLLOWING PROPOSITIONS. 
 
 Prop. I. Having two sides of a spheric 
 triangle, ivith the angle between 
 them ; to find the third side. 
 
 JljlDD together the log. versed sine 
 of the contained angle, and the log. 
 sines of the two sides ; the sum (a- 
 bating twice the radius) is the loga- 
 rithm of a number to be found, which 
 added to the natural versed sine of the 
 difference of the two given sides, the 
 sum will be the natural versed sine of 
 the third side sought. 
 
 Or when the contained angle is 
 above 90°, add the log. versed sine of 
 its supplement, and the log. sines of 
 the two sides together ; the sum (a- 
 bating twice the radius) is the loga- 
 rithm of a number to be found, and 
 subtracted from the natural versed 
 sine of the sum of the two given sides, 
 the remainder w^ill be the natural 
 versed sine of the third side sought. 
 
 Example 1. In the triangle szp, 
 having the side pz 38° 30', ps 70°, 
 and the angle zps3r34'26"; to 
 find the side zs. 
 
 9- 1703625 log.ver.sine zsp 3 r34' 26" 
 9-7941496 log. sine of pz 38 30 
 9-9729858 log. sine of ps 70 
 8-9374979 log. of the numb. 865960 
 Nat. vers. diff. sides 31° 30' 1473598 
 Nat. vers, zs 40" - - ~ 2339558 
 
 Example 2. In the triangle szp, 
 harmg the side pz 38° 30', zs 40«, 
 
 and the angle szp 130» 3' 12"; to 
 find the side ps. 
 
 The -angle vzp is the supplement 
 
 of SZP. 
 
 9*5520590 log. vers, vzp 49° 56' 48" 
 9-7941496 log. sin. PZ 38 30 
 9-8080675 log. sin. zs 40 
 '9-1542761 log.ofthe number! 4265 14 
 Nat. vers, sum sides 78° 30' 8006321 
 Nat. vers, ps 70" - - - "6579807 
 
 This proposition may be very useful 
 in finding the distances of places on 
 the earth, whose longitudes and latir 
 tudes are known; the distances of 
 stars, whose declinations and right 
 ascensions,or longitudes and latitudes, 
 are known ; aHd consequently the al- 
 titudes, or common altitude of two 
 stars, or two altitudes of the sun, and 
 time between the observations, or 
 difference of azimuth, being taken, 
 the latitude of the place may readily 
 be found. 
 
 Prop. II. Having two angles of a 
 spheric triangle, and the side between 
 them ; to find the third angle. 
 
 Let the angles be changed into sides, 
 and the side into an angle; then pro- 
 ceed as in the former proposition, and 
 the result will be the supplement of the 
 third angle. But if one of the given 
 anglesexceed 90°,take its supplement, 
 and the result will be the third angle. 
 
SPHERICAL TRIANGLES. 171 
 
 The following remarks and directions, for rendering the proportional 
 part of a logarithm always additive, and for using c + t, c — t, &c, 
 for 5 or c 6ic, in the foregoing propositions, 20, 21, 22, 23, 25, 
 2(), 27, 28, were communicated by the Rev. Nevil Maskelyne, 
 D. Db astronomer royal, and f. r. s. the fourth case having been in- 
 vented by him many years since, and delivered to the computors 
 of the Nautical Ephemeris, as precepts necessary in computing the 
 moon's distance from the stars in some cases, and tlie rest he has 
 now added on this occasion. 
 
 " The result of trigonometrical calculations will be sometimes in- 
 accurate, owing to the logarithms not being carried to a greater num- 
 ber of places in the table, as will sufficiently appear from the logarith- 
 mic differences being small. This will happen where the answer 
 comes out in the cosine of a very small angle, or the sine of an angle 
 near 90*^. The greatness of the differences of the log. sines of small 
 arcs, or cosines of large ones, will sometimes affect the accuracy of the 
 result of the second part of the operation, unless the first arc be found 
 to a small part of a minute or second : To prevent such error, and 
 render the' computation easier, putting t, t', s, c for the tangent, co- 
 tangent, sine, and cosine of the 1st arc or an^le, then in the 2d part 
 of the work. 
 
 In Prop. 20, if the first arc is very small, for s use c -f t 
 
 21 - - - angle is very small, for s use c — t' 
 
 22 - - - arc is very small, for s use o + t 
 
 23 - - - arc is near 90", for — c use t — s 
 2.5 - - - arc is near 90^, for c use s — t 
 
 26 - - - angle is near 90°, for c use s -f t' 
 
 27 - - - angle is near 90°, for c use s 4- l' 
 
 28 - - - angle is very small, for — s use t' — c 
 
 This obviates the necessity of finding the first arc to a very minute 
 exactness, which otherwise would be necessary in taking out the sine 
 or cosine of the same arc in the second part of the work. 
 
 Where the foregoing precepts direct to subtract a sine or cosine, 
 it will be readier in practice to add a cosecant or secant ; and where 
 they direct to subtract a tangent (which is done in prop. 26) it will 
 be readier to add a cotangent. Tliis method being used, if it be 
 required to find the logarithmic sines, &c, to the exactness of a se- 
 cond, and the logarithm is increasing (as in the sines, tangents, and 
 secants), write down the logarithm for the degree and minute with- 
 out the seconds ; and also write down the proportional part for the 
 seconds; but, if the logarithm is decreasing (as in the cosines, co- 
 tangents, and cosecants) write down the logarithm for the next 
 greater minute, and also write down the proportional part for the 
 complement of the seconds to 60 3 and proceed in like manner 
 
 Z2 
 
172 
 
 USE OF THE TRAVERSE TABLE. 
 
 with every logarithmic sine, cosine, &c, used in the work ; tlie sunv 
 of all tlie logarithms (abating one or two radii or tens in the index, 
 according as 2 or 3 logarithmic sines, &c are used in the i)art of the 
 work in question) will be the logarithmic sine, cosine, tangent, or co- 
 tangent requirecf. 
 
 Ex. 1. To find the log. sine of 34° 17' 24'' 
 
 Here log. sine of Si-MV - 
 
 9-7507287 
 And as 00 : 21- or as 10 : 4 : : 1 85 3 : / - 74 1 
 
 9-7508028 
 
 Ex. 2. To find the log. cos. of 55" 42' 30' 
 Log, cos. of 55° 43' - - - 9-75072S7 
 60 : 24 (60—36), or 10 : 4 : : 1 85 3: - 741 
 
 9-7508028 
 
 Ex. 3. In the triangle pls, given 
 
 p = 20'' 30' 48'^ 
 PS = 85 3 40 
 PL= 89 10 
 
 to find Ls by prop. 23 ; 
 so being perp. vl. 
 
 p 
 
 200 3 If 
 85 3 
 
 -12 
 40 
 
 cos. 
 
 - 9-9715404 
 - - - 95 
 
 PS 
 
 tan. 
 
 11-0624350 7 cos. found by taking 7 c.gg.ggog 
 - - 98 1 4 1 tang, from sine J ^ y>^490»t> 
 
 PD 
 
 84 43 
 
 43 
 
 tan. 
 
 11-0349663 11-0349663 
 
 PL 
 
 89 10 
 
 
 
 
 cosec. PD 84° 44' ." - 10-0018374 
 
 LD 
 
 4 26 
 
 17 
 
 
 — 17 - 33 
 
 cosin. LD 4 27 . - 9-9986888 
 
 ~ 43 - 70 
 
 
 cosin. LS 20 53 24 - 9-9704714 
 
 Here to avoid the trouble of finding the proportional part for the 
 large logarithm difference of the ^cosine of ps, that cosine is found by 
 subtracting the tangent of it (already found) from the sine, which is 
 easily found, because the differences are small : And, for the same 
 reason, the sum of the tangent and cosecant of pd, are used instead of 
 its secant. 
 
 N. B. The perpendicular should always be let fall from the end of 
 the side, ps or pl, which differs most from 90^, over or under.'* 
 
 OF THE TRAVERSE TABLE. 
 
 T, 
 
 HIS traverse table, or table of 
 difference of latitude and departure, 
 in page 338 and 339, is so contrived, 
 as to have the whole in one view, and 
 is so plainly titled as to want little or 
 no explanation. 
 
 The distances 1, 2, 3, &c, at the 
 top and bottom, may be accounted 
 10, 20, 30, &c, and the 10 as 100, 
 
 if the minutes of latitude and depar- 
 ture answering to the course be in- 
 creased in the same proportion; so 
 that if the distance consists of two 
 significant figures, the difference of 
 latitude, and the departure, is each 
 to he takej||i out at twice j and if of 
 three figures, at thrice. / 
 
USE OF THE TRAVERSE TABLE. 
 
 i73 
 
 Thechiefdesign of this table, IS for 
 the ready and exact working of tra- 
 verses ; but it may also be applied to 
 the solution of the several cases of 
 plain sailing, and to some other uses. 
 
 Prop. I. Having the course and di- 
 stance, to find the difference of lati- 
 tude and departure. 
 
 Seek the course on the left hand 
 of both pages downwards, if less than 
 four points, or 4<5 degrees ; or if 
 greater, on the right hand upwards ; 
 and even with it in the double column, 
 signed at the top and bottom with the 
 distance, is found both the difference 
 of latitude and the departure. 
 
 Example 1. A ship sails ssw | w 
 37 miles ; the diiierence of latitude 
 and the departure are required. 
 
 Find the course 2| points on the 
 left-hand side of each page, and even 
 with it in the double columns signed 
 3, and 7, the two figures of the di- 
 stance, the difference of latitude for 
 30 is 25-732, and for 7 is O'OO^, 
 the sum is 31-736 for the whole dif- 
 ference of latitude ; and the depart- 
 ure for 30 is 15-423, and for 7 is 
 3-59Q, the sum is 19-022 for the 
 whole departure. 
 
 at 8 is 6-038 ; the sum is 1 U -697 for 
 the whole departure. Thus, 
 
 Thus, 
 
 Bist. Biff, Lat 
 
 30 - - 25-732 
 7 - - 6-004. 
 37 miles 
 
 Bep. 
 - 15-423 
 
 - 3-599 
 
 31-736 - 19-022 
 
 Bist. 
 
 100 - - 
 
 40 - - 
 
 8 - - 
 
 148 miles 
 
 Di/f. Lat. 
 
 65.QOQ 
 
 ' 26-242 
 
 5-248 
 
 97-096 
 
 Bepart. 
 
 7 5 All 
 
 30-188 
 
 6-038 
 
 111-697 
 
 Prop. II. Having several courses and 
 distances; to find the difference of 
 latitude and the departure. 
 
 Make a table in the following man- 
 ner, and put therein each course and 
 distance ; then find the difference of 
 latitude and departure Jo each course 
 by the preceding, and place them in 
 the proper column ; the difference 
 of the sums of the northings and 
 southings, is the whole difference of 
 latitude ; and the difference of the 
 sums of the eastings and wet ings, is 
 the whole departui^. 
 
 Example. A ship from the latitude 
 of 50*^ north, sails according to the 
 courses and distances set in the tra- 
 verse table ; the differences of lati- 
 tude, and the departure, are found 
 at the bottom. 
 
 Example 2. A ship sails se 49" 
 148 miles; the difference of latitude 
 and the departure are required. 
 
 Find the course 49 degrees on the 
 right-hand side of each page, and 
 even with it in the double columns 
 signed 10, 4, and 8, the difference of 
 latitude at 100 miles is 65-606, at 40 
 is 26.242. and at 8 is 5-248 ; the sum 
 is 97-096 for the whole difference of 
 latitude. And the departure at 100 
 miles is 75-471, at 40 is 30-188, and 
 
 
 
 a> l;^ C/3 CO C« CA' 
 
 
 
 CD v» H- c oc ^* 
 
 tfk 10 00 C?i 
 
 g 
 
 f 
 
 5 
 
 c 
 F 
 
 CO 
 O' 
 
 
 
 Q 
 
 Z 
 
 
 
 
 
 
 
 Ci 
 
 5| 
 
 
 
 C^ -J tn Cft 
 CO (C di Cn (i 
 OB K) ^ ^ ►- 
 
 1 
 
 
 1 
 
 c^ 
 CO 
 
 i 
 
 
 0. CO 
 
 ^ 
 
 •^ 
 
 1 
 c 
 
 c>> CO 
 
 -^t CO 
 
 to ^ 
 
 Ci 
 
 ot Ci 00 a 
 CO -O CO o> 
 ^ ta CO 
 
 lo CO CO 00 
 4- *. .^ *. 
 
 
174: 
 
 USE OF THE TRAVERSE TABLE. 
 
 This proposition may be applied in 
 the surveying of large tracts of land, 
 as a county, &c. and was made use of 
 by Mr. Norwood in measuring the 
 distance from York to London, as the 
 road led him, observing the several 
 bearings by his circumferentor, and 
 finding by such a table his several dif- 
 ferences of latitude, and departure, 
 by which he obtained the distance be- 
 tween the parallels of London and 
 York, pretty near the truth, so long 
 ago as the year 1635; as may be 
 seen in his Seaman's Practice. 
 
 Also in plotting the survey of a 
 county thus taken, the circuit station- 
 lines, though consisting of many hun- 
 dreds, may be reduced to a few for 
 the first closing, and the like for the 
 intermediates of each line first plot- 
 ted, by which every station may per- 
 haps be more truly placed than by any 
 other method : the distances in the 
 table may be chains of 66, or 100 
 feet, as well as miles, or any other 
 measure that the differences of lati- 
 tude and departure would be had in*. 
 
 Prop. IlL Having the difference of 
 latitude, and the departure; to find 
 the course and distance. 
 
 Seek the given difference of latitude 
 and departure, taken together, in their 
 columns, or the nearest numbers to 
 them ; and the course is even there- 
 with at the side, and tlip distance at 
 the top and bottom : but if the given 
 difference of latitude and departure 
 cannot be found nearly, take \, |, 
 &c. part, or any equal multiple of 
 them that can be found; then the 
 course is even with them at the side, 
 and such a part of the distance, as was 
 taken of the difference of latitude and 
 departure, at the top and bottom. 
 
 Example I. Given the difference of 
 latitude 59 miles s, and the departure 
 68 miles w; the course and distance 
 are required. 
 
 In the double column over Q, even 
 with 49'' at the right-hand side, is 
 
 found together the given difference of 
 latitude and departure; therefore the 
 course is 49* sw, and the distance 90 
 miles. 
 
 Example 2. Given the difference 
 of latitude 30 miles n, and the de- 
 parture 1 8 miles e ; the course and 
 distance are required. 
 
 Here the given difference of lati- 
 tude and departure, or any numbers 
 near them, are not to be found to- 
 gether in the table ; therefore taking 
 |- or the double of each, the course is 
 found to be^3 1 ^ n e, and the distance 
 35 miles. 
 
 Note. A table computed to every 
 mile in the distance up to 100 miles 
 would more readily solve this exam- 
 ple. 
 
 Prop. IV. Having the departure and 
 7niddle latitude ; to find tJie difference 
 of longitude, according to the method 
 used by W. Jones, Esq. f. r. s. 
 
 Seek the given departure, or the 
 next less number in the columnssign- 
 ed lat. even with the middle given lati- 
 tude found among the courses, and 
 at the top and bottom (signed dist.) 
 is the difference of longitude sought; 
 which, if not found directly at once, 
 may be taken out at twice or thrice. 
 
 Example 1 . Being yesterday noon 
 in the latitude of 37<^ 17' n, and this 
 day noon in 38* 43' n, and by the 
 table the departure is found 7092 1 e ; 
 the difference of longitude is required. 
 
 In the column signed lat. under 9, 
 even with 38*, the middle latitude is 
 found 7-0921; therefore 90 miles is 
 the difference of longitude sought. 
 
 Example 2. Being yesterday noon 
 in latitude 46* 25' n, and this day at 
 noon in 47° 35' n, so that the middle 
 latitude is 47* n, and the departure 
 is found 112-53 miles w ; required 
 the difference of longitude. 
 
 In the column signed lat. over 10 
 at the bottom, even with 47 at the 
 
OF MERCATOR'S SAILING. 
 
 175 
 
 ri^ht-hand side, is 6*8200; therefore 
 subducting 68'200 from 112-53, the 
 remainder is 44-33 ; then over 6 is 
 4-0920, and 4092 subducted from 
 44*33 leaves 3'41, which is found 
 over 5 ; therefore the difference of 
 longitude is 165 miles west. 
 
 If the middle latitude be not an 
 even degree, but have odd minutes ; 
 find the difference of longitude, for 
 the even degrees next less and great- 
 er, and add a proportional part of the 
 difference between the two results to 
 the lesser; the sum will be the differ- 
 ence of longitude sought. 
 
 Suppose the middle latitude in the 
 last example had been 47o 20' n, then, 
 after finding the difference of longi- 
 tude as before for 47°, find it also 
 for 48o, which is 168 miles; then | 
 of the difference being added to the 
 former, gives the difference of longi- 
 tude 160 miles west. 
 
 Note. Though this method is not 
 in all cases near the truth, yet when 
 the miles are geographical, it is suffi- 
 ciently near for daily practice in any 
 voyage, as well as easy, and very ex- 
 peditious. 
 
 Pr6p. V. Having the latitudes and 
 
 the longitudes 0/ two places, to find 
 
 the bearing and distance. 
 
 Seek the complement of the middle 
 latitude among the degrees, and the 
 difference of longitude in minutes 
 among the distances, the departure 
 answering is found in its proper co- 
 lumn; then with the difference of la- 
 titude and departure, find their bear- 
 ingor course and distance by the third. 
 
 Er ample. Let the Lizard be given 
 in the latitude of 49o 60' n, and 5« 
 21' w longitude, and Cape Ortegal 
 in the latitude of 44° 10' n, and 70° 
 43' w hmgitude ; to find the bearing 
 and distance. 
 
 The difference of longitude is 1 42'; 
 and in the columns signed dep. under 
 10, 4, and 2, even with 43" the co- 
 middle latitude, are found 6*8200, 
 2*7280, and 1*3640 ; then increasing 
 the two former as before shown, their 
 sum is 96844 miles w, for the de- 
 parture ; and the bearing, or course, 
 answering to 340 miles difference of 
 latitude, with 96*844 departure, is 
 found about 1 6° sw : and the distance 
 about 354 miles. 
 
 OF MERCATOR'S SAILING. 
 
 X HE uses of the table of meridional parts are fully supplied by 
 the table of logarithmic tangents, as is demonstrated in N° 219 
 of the Philosophical Transactions. It is there proved, 1st, That the 
 meridional line, or scale of Mercator's Chart, is a scale of the log. 
 tangents of the half-complements of the latitude. 2dly, That such 
 log. tangents of Mr. Briggs's form, are a scale of the differences of 
 longitude, on the rumb which makes an angle of 51^ 38' 9" with 
 the meridian. And 3dly, That the differences of longitude on dif- 
 ferent rumbs, are to one another as the tangents of the angles of those 
 rumbs with the meri<Han. 
 
 Hence it follows, that the difference of the log. tangents of the half 
 complements of the latitudes, is to the difference of longitude a ship 
 makes in sailing on any rumb from the one latitude to the other, as 
 the tangent of 5P 38' 9" (whose logarithm is 10-1015104) to the tan- 
 gent of the angle of the rumb or course with the meridian ; so that : 
 
 L If two latitudes, and the difference of longitude, be given, the 
 course and distance are readily determined by this rule. 
 
176 OF MERCATOR'S SAILING. 
 
 Take, by help of the tables, the difference of the log. tangents of 
 the half-complcinents of the latitudes, esteeming the last three figures 
 to be a decinnal fraction ; and add the complement of its logarithm to 
 the logarithm of the difference of longitude reduced to minutes, and 
 the constant log. 10*1015104; the sum (abating radius) shall be the 
 log. tangent of the course. And to the log. secant of the course, add 
 the logarithm of the difference of latitude reduced to minutes, the sura 
 (abating radius) shall be the logarithm of the distance in minutes. 
 
 Example. Given the Lizard to be in latitude 49*^ 55' n, Barbadoes 
 in 13^ 10' N, and their difference of longitude 53^ 00', or 3180' w; 
 to find the course and distance. 
 
 p , 5 Barbadoes 38« 25' 1. tan. .9«89930821. 3180'= 3-5024271 
 ^1.0. lat. JLj^ard 20 2| 1. tan. 9-5620477 const, log . 10- 101 5 104 
 
 diff. 3372-605 its co. log. 6-4720346 
 Log. tang, of the course 49^ 59' 10" sw - - - - - 10-0759721 
 
 Log. sec. of the course 49 59 10 10-1918067 
 
 Log. of 2205' diff. of the latitudes ------- 3-3434086 
 
 Log. of 3429*378 distance of Barbadoes from the Lizard 3*5352153 
 
 II. If two latitudes and the course be given, the difference of lon- 
 gitude is obtained with the same ease : for as the tangent of 51^ 38' 
 9" is to the tangent of the course, so is the difference of the log. 
 tangents of the half-complements of the latitudes, to the difference 
 of longitude sought. Therefore, to the complement of the constant 
 log. 10*1015104, add the log. of the difference of the log. tangents 
 of the half-complements of the latitudes, and the log. tangent of the 
 course, the sum (abating radius) will be the log. of the difference of 
 longitude in minutes. 
 
 Exmnple. Given the latitudes 49^ 55' and *13^ 10', and course 
 49^^ 59' 10" ; to find the difference of longitude. 
 Lat. 13M0', its Ico.lat. 38° 25' 1. tan. 9*8998082 
 
 Lat. 49 55 - - - 20 21 1. tan. 95620477 co.const.log.9-8984 896 
 
 diff. 3372-605 - its log. 3-5279654 
 Log. tang, of the course 490 59' 10" ------ 10-0759721 
 
 Log. of 3180' = 53" for diff. of longitude - - - - 3-5024271 
 
 By this rule, having two good observations of the latitude, and the 
 course duly steered, the reckoning of a ship's way is best ascertained, 
 especially if you sail near the meridian. 
 
 III. If the latitude departed from, the course steered, and distance 
 sailed, be given ; to find the ship's latitude, and difference of longitude. 
 
 First, the latitude is obtained from the consideration that the distance 
 IS to the difference of latitude, as radius to the cosine of the course, 
 ivhich is common to plain sailing. Therefore to the log. of the distance 
 add the log. cosine of the course, the sum (abating radius) is the log. 
 of the difference of latitudes ; which difference added to the lesser 
 latitude, or subtracted from the greater, the sum or remainder is the 
 present latitude : then having the two latitudes and the course, the 
 difference of longitude is found by the second. 
 
OF MERCATOFS SAILING. 177 
 
 Example. Having sailed from the Lizard, in lat. 49o 55' N, on a course 
 49* 59' 10" south-westerly 3429*378 miles: required what longitude and 
 latitude the ship is found in. 
 
 Log. of 3429-378 the distance sailed 3-5352153 
 
 Log. cosine of 49° 59' 10" the course 9-8081933 
 
 Log. of 2205', or 36° 45'difr. of the latitudes 3-3434086 
 
 Now subtracting 36^ 45' from 49° 55', the remainder 13^ IC n, is the 
 latitude the ship is found in. 
 
 By whiclr latitude, now known, the difference of log. tangents 
 will be found 3372*605, and the further process in nothing differing 
 from the second rule, by which the difference of longitude will be 
 found 530 00'. 
 
 Thus the dead reckoning by the log line, and daily account of a 
 ship's way, are duly kept, and the trouble very little more than by plain 
 sailing. 
 
 These are all the cases that occur in practice ; the rest, which are 
 mostly speculative, are either easily reducible to these, or else not to 
 be performed by logarithms, and therefore come not at present under 
 our cognizance. 
 
 But it is to be noted, that both the complements of the latitudes 
 are to be estimated from the same pole of the world ; which may be 
 from either; and therefore if one latitude be n, and the other s, to 
 have their complements, you must add QO" to one of them, and sub- 
 tract the other from .90, and then the operation will be the same as 
 in the preceding cases. 
 
 Example. Given St. Jago, one of the Cape-de-Verd islands, in the lati- 
 tude of 14° 56' n; and the island St. Helena, in latitude 15° 45' s, and 
 their difference of longitude 30° 12' e; to find the course and distance. 
 
 Co lat J^^- *^^S^ ^^° ^^'- ^- *^"- 10*1144965 1. 1812' 3-2581582 
 • • I St. Helena 37 7|. 1. tan. 9*8790845 const.log. 10- 101 5 104 
 
 2354-120 its co. log. 6*6281714 
 
 Log, tang, of the course 44° J 1' 53" se 9*9878400 
 
 liOg. sec. of the course 44 11 53 , 10-1445200 
 
 Log. of 1841' diff. of the latitudes 3-2650538 
 
 Log. of 2567*875 distance of St. Helena from St. Jago 3^095738 
 
 Or if it be thought easier, when one latitude is n, and the other s, 
 you may add 90^ to each of them, the" sum of the log. tangents of 
 their halves (abating twice the radius) will be the s^me as the diffe- 
 rence of the log. tangents of the former. For an example, take the 
 ^ame latitudes as in the preceding. 
 
 Tv,.«nn„i 04°56'= 104° 56'f ., ..n C 52° 28' 1. tan. 10*1144965 
 Then90o+|j5 45 =105 45; '''^^^^ j 52 52f 1. tan. 10*1209155 
 The sum (abating twice the radius) equal to the former di- 
 stance 2354*120 
 
 Also, when both latitudes are of the same name, that is both n or 
 both s, you may add QO^ to each of them, the difference of the log. 
 tangents of half these sums will be the same as of the log. tangents 
 of half the complements of those latitudes. 
 
 A 
 
i7« 
 
 CIRCULAR ARCS. 
 
 TABLE FOR THE LENGTHS OF CIRCULAR ARCS. 
 
 X HIS is table 1 2, and constitutes page 340. It contains the lengths 
 of every single degree up to 180, and of every minute, second, and 
 third, each up to 60. Tlie form of it is obvious ; the length of each 
 degree, minute, second or third, immediately following it on the same 
 line in the next column. And the two following examples will show 
 the use of the table. 
 
 Ex. L To find the length of an arc 
 of 57** 17' 44" 48'". 
 
 Take out from their respective 
 columns the lengths answering to 
 each of these numbers singly, and 
 add them all together, thus : 
 
 57° 
 17' 
 
 44" 
 48'" 
 
 09948377 
 
 49451 
 
 2133 
 
 39 
 
 the sum or 1 -0000000 is 
 the whole length, and is equal to the 
 radius ; that is, the length of an arc 
 of 57° 17' 44" 48'" is equal to the 
 radius of the circle. 
 
 Ex. 2. To find the degrees, mi- 
 nutes, &c in the arc 1, which is 
 equal to the radius. 
 Subtract from it the next less ta- 
 bular arc, and from the remainder 
 the next less again, and so on till 
 nothing remain ; and opposite to the 
 several numbers subtracted, will be 
 the degree, minutes, &c ; thus : 
 
 Given length 1-0000000 
 57" ... . 0.9948377 
 
 17' 
 
 44" 
 
 48'" 
 
 51623 
 
 49451 
 
 2172 
 
 2133 
 
 39 
 
 So that the arc which is equal tn 
 the radius contains 57° 17' 44'' 48". 
 
COMMON AND HYP. LOGS. 
 
 179 
 
 TABLE FOR COMPARING HYP. AND COMMON LOGS. 
 
 X HIS is table 13, and is the upper part of page 341. It contains 
 the hyperbolic logs, answering to the first 100 common logs, and is 
 very useful for speedily changing the one into the other. 
 
 Ex. I. To fine! the hyp. log. an- 
 swering to the common log. 
 0-9542425. 
 
 Beginning at the left hand, and 
 dividing the given number into pe- 
 riods of two figures each, including 
 the index, take out the hyp. log. to 
 each period, omitting two figures at 
 the 2d period, four at the third, and 
 six at the 4th ; then add them all 
 together, thus : 
 
 com. log. 
 
 hyp. log. 
 
 09 . . 
 
 . 2-0723266 
 
 54 
 
 1243396 
 
 24 
 
 5526 
 
 25 
 
 58 
 
 0-9542425 
 
 2-1972246 ans. 
 
 Ex. 2. To find the common log. 
 answering to the hyp. log. 
 2.1972246. 
 
 Subtract continually each next 
 less tabular hyp. log. from the 
 given number, and from the re- 
 mainders ; and the several common 
 logarithms answering to these tabu- 
 lar hyp. logs, joined together, will 
 be the com. log. required, thus : 
 
 hyp. log. 
 
 given 2-1972246 
 
 09 . . . 2-0723226 
 
 
 1248980 
 
 54 . 
 
 . . 1243396 
 
 
 5584 
 
 24 
 
 . . . 5526 
 
 
 58 
 
 25 
 
 . . ^8 
 
 0-9542425 
 
 answer. 
 
 The remaining pages contain the small table of the names and de- 
 grees, &c, in the points of the compass ; which needs no illustration ; 
 and a copious list of such errors, with their corrections, as have been 
 discovered in the principal books of logarithms ; among which are 
 many that have been detected by myself, both in the Avignon edition 
 of Gardiner, and in Gardiner's own quarto edition, as well as in the 
 French tables by Callet, and by Didot ; which renders this list more 
 complete than any former one ; and it will be found very useful in 
 correcting those books of tables which are already in the possession of 
 the public. As to all the editions of Sherwin's and Gardiner's tables 
 in octavo, the errors in them are far too numerous to be printed in this 
 or any other work, as they amount to many thousands, even in the edi- 
 tion of 1 742, published by Gardiner, in which the last figures of the 
 logarithms are usually not correct to the nearest unit, except in a very 
 few pages at the beginning, and at the end of the table, so that it can-^ 
 not be depended on for nice calculations. 
 
TABLE I. 
 
 CONTAINING 
 
 THE LOGARITHMS OF ALL NUMBERS, 
 
 FROM 1 TO 100000. 
 
 2 B 
 
(2) 
 
 Numb. 
 
 I to 100, and II 
 
 LOGARITHMS N. 100 L. 00 
 
 their Log. with Indices. 
 
 N. 
 100 
 
 Log. 
 
 N.l 
 
 150 
 
 Log. 
 
 N. 
 200 
 
 Log. 
 
 1 
 
 0-0000000 
 
 5\ 
 
 1-7075702 
 
 0000000 
 
 1760913 
 
 3010300 
 
 2 
 
 0-3010300 
 
 52 
 
 1-7160033 
 
 101 
 
 0045214 
 
 151 
 
 1789769 
 
 201 
 
 3031961 
 
 3 
 
 0-4771213 
 
 53 
 
 1-7242759 
 
 102 
 
 0086002 
 
 152 
 
 1818436 
 
 202 
 
 3053514 
 
 4 
 
 0-6020600 
 
 54 
 
 1-7323938 
 
 103 
 
 0128372 
 
 153 
 
 1846914 
 
 203 
 
 3074960 
 
 5 
 
 0-6989700 
 
 55 
 
 1-7403627 
 
 104 
 
 0170333 
 
 154 
 
 1875207 
 
 204 
 
 3096302 
 
 6 
 
 0-7781513 
 
 56 
 
 1-7481880 
 
 105 
 
 0211893 
 
 155 
 
 1903317 
 
 205 
 
 3117539 
 
 7 
 
 0-8450980 
 
 51 
 
 1-7558749 
 
 106 
 
 0253059 
 
 156 
 
 1931246 
 
 206 
 
 3138672 
 
 8 
 
 0-9030900 
 
 58 
 
 1-7634280 
 
 107 
 
 0293838 
 
 157 
 
 1958997 
 
 207 
 
 3159703 
 
 9 
 
 0-9542425 
 
 59 
 
 1-7708520 
 
 108 
 
 0334238 
 
 158 
 
 1986571 
 
 208 
 
 3180633 
 
 10 
 
 1-0000000 
 
 60 
 
 1-7781513 
 
 109 
 
 0374265 
 
 159 
 
 2013971 
 
 209 
 
 3201463 
 
 11 
 
 1-0413927 
 
 61 
 
 1-7853298 
 
 110 
 
 0413927 
 
 160 
 
 2041200 
 
 210 
 
 3222193 
 
 12 
 
 1-0791812 
 
 62 
 
 1-7923917 
 
 111 
 
 0453230 
 
 161 
 
 2068259 
 
 211 
 
 3242825 
 
 13 
 
 1-1139434 
 
 63 
 
 1-7993405 
 
 112 
 
 0492180 
 
 162 
 
 2095150 
 
 212 
 
 3263359 
 
 14 
 
 1-1461280 
 
 64 
 
 1-8061800 
 
 113 
 
 0530784 
 
 163 
 
 2121876 
 
 213 
 
 3283796 
 
 15 
 
 1-1760913 
 
 65 
 
 1-8129134 
 
 114 
 
 0569049 
 
 164 
 
 2148438 
 
 214 
 
 3304138 
 
 16 
 
 1-2041200 
 
 66 
 
 1-8195439 
 
 115 
 
 0606978 
 
 165 
 
 2174839 
 
 215 
 
 3324385 
 
 17 
 
 1-2304489 
 
 61 
 
 1-8260748 
 
 116 
 
 0644580 
 
 166 
 
 2201081 
 
 216 
 
 3344538 
 
 18 
 
 1-2552725 
 
 68 
 
 1-8325089 
 
 117 
 
 0681859 
 
 167 
 
 2227165 
 
 217 
 
 3364597 
 
 19 
 
 1-2787536 
 
 69 
 
 1-8388491 
 
 118 
 
 0718820 
 
 168 
 
 2253093 
 
 218 
 
 3384565 
 
 20 
 
 1-3010300 
 
 70 
 
 1-8450980 
 
 119 
 
 0755470 
 
 169 
 
 2278867 
 
 219 
 
 3404441 
 
 21 
 
 1-3222193 
 
 71 
 
 1-8512583 
 
 120 
 
 0791812 
 
 170 
 
 2304489 
 
 220 
 
 3424227 
 
 22 
 
 1-3424227 
 
 72 
 
 1-8573325 
 
 121 
 
 0827854 
 
 171 
 
 2329961 
 
 221 
 
 3443923 
 
 23 
 
 1-3617278 
 
 73 
 
 1-8633229 
 
 122 
 
 0863598 
 
 172 
 
 2355284 
 
 222 
 
 3463530 
 
 24 
 
 1-3802112 
 
 74 
 
 1-8692317 
 
 123 
 
 0899051 
 
 173 
 
 2380461 
 
 223 
 
 3483049 
 
 25 
 
 1-3979400 
 
 75 
 
 1-6750613 
 
 124 
 
 0934217 
 
 174 
 
 2405492 
 
 224 
 
 3502480 
 
 26 
 
 1-4149733 
 
 76 
 
 1-8808136 
 
 1.25 
 
 0969100 
 
 175 
 
 2430380 
 
 225 
 
 3521825 
 
 27 
 
 1-4313638 
 
 77 
 
 1-8864907 
 
 126 
 
 1003705 
 
 176 
 
 2455127 
 
 226 
 
 3541084 
 
 28 
 
 1-4471580 
 
 78 
 
 1-8920946 
 
 127 
 
 1038037 
 
 177 
 
 2479733 
 
 227 
 
 3560259 
 
 29 
 
 1-4623980 
 
 79 
 
 1-8976271 
 
 128 
 
 1072100 
 
 178 
 
 2504200 
 
 228 
 
 3579348 
 
 30 
 
 1-4771213 
 
 80 
 
 1-9030900 
 
 129 
 
 1105897 
 
 179 
 
 2528530 
 
 229 
 
 3598355 
 
 31 
 
 1-4913617 
 
 81 
 
 1-9084850 
 
 130 
 
 1139434 
 
 180 
 
 2552725 
 
 230 
 
 3617278 
 
 32 
 
 1-5051500 
 
 82 
 
 1-9138139 
 
 131 
 
 1172713 
 
 181 
 
 2576786 
 
 231 
 
 3636120 
 
 33 
 
 1-5185139 
 
 83 
 
 1-9190781 
 
 132 
 
 1205739 
 
 182 
 
 26007 1 4 
 
 232 
 
 3654880 
 
 34 
 
 1-5314789 
 
 84 
 
 1-9242793 
 
 133 
 
 1238516 
 
 183 
 
 2624511 
 
 233 
 
 3673559 
 
 S5 
 
 1-5440680 
 
 85 
 
 1-9294189 
 
 13^ 
 
 1271048 
 
 184 
 
 2648178 
 
 234 
 
 3692159 
 
 3Q 
 
 1-5563025 
 
 86 
 
 1-9344985 
 
 135 
 
 1303338 
 
 185 
 
 2671717 
 
 235 
 
 3710679 
 
 37 
 
 1-5682017 
 
 87 
 
 1-9395193 
 
 136 
 
 1335389 
 
 186 
 
 2695129 
 
 236 
 
 3729120 
 
 38 
 
 1-5797836 
 
 88 
 
 1-9444827 
 
 137 
 
 1367206 
 
 187 
 
 2718416 
 
 237 
 
 3747483 
 
 39 
 
 1-5910646 
 
 89 
 
 1-9493900 
 
 138 
 
 1398791 
 
 188 
 
 2741578 
 
 238 
 
 3765770 
 
 40 
 
 1-6020600 
 
 90 
 
 1-9542425 
 
 139 
 
 1430148 
 
 189 
 
 2764618 
 
 239 
 
 3783979 
 
 41 
 
 1-6127839 
 
 91 
 
 1-9590414 
 
 140 
 
 1461280 
 
 190 
 
 2787536 
 
 240 
 
 3802112 
 
 42 
 
 1-6232493 
 
 92 
 
 1-9637878 
 
 141 
 
 1492191 
 
 191 
 
 2810334 
 
 241 
 
 3820170 
 
 43 
 
 1-6334685 
 
 93 
 
 1-9684829 
 
 142 
 
 1522883 
 
 192 
 
 2833012 
 
 242 
 
 3838154 
 
 44 
 
 1-6434527 
 
 94 
 
 1-9731279 
 
 143 
 
 1553560 
 
 193 
 
 2855573 
 
 243 
 
 3856063 
 
 45 
 
 1-6532125 
 
 95 
 
 1-9777236 
 
 144 
 
 1583625 
 
 194 
 
 2878017 
 
 244 
 
 3873898. 
 
 46 
 
 1-6627578 
 
 96 
 
 i -98227 12 
 
 145 
 
 1613680 
 
 195 
 
 2900346 
 
 245 
 
 3891661 
 
 47 
 
 1-6720979 
 
 97 
 
 1-9867717 
 
 146 
 
 1643529 
 
 196 
 
 2922561 
 
 246 
 
 3909351 
 
 48 
 
 1-6812412 
 
 98 
 
 1-9912261 
 
 147 
 
 1673173 
 
 197 
 
 2944662 
 
 247 
 
 ^926970 
 
 49 
 
 1-6901961 
 
 99 
 
 1-9956352 
 
 148 
 
 1702617 
 
 198 
 
 2966652 
 
 248 
 
 3944517 
 
 50 
 
 N 
 
 1-6989700 
 
 100 
 
 N. 
 
 2-0000000 
 
 149 
 
 N. 
 
 1731863 
 
 199 
 
 N. 
 
 2988531 
 
 249 
 
 N. 
 
 3961993 
 
 L02;. 
 
 Log. 
 
 Log. 
 
 Log. 
 
 Log. ^ 
 
N. ^50 L. 39 OF NUMBERS. (3)] 
 
 N. 
 
 250 
 
 Log. 
 
 N. 
 
 300 
 
 Log. 
 
 N. 
 
 350 
 
 Log. 
 
 N. 
 
 400 
 
 Log. 
 
 N. 
 
 450 
 
 Log. 
 
 3979400 
 
 4771213 
 
 5440680 
 
 6020600 
 
 6532125 
 
 251 
 
 3996737 
 
 301 
 
 4785663 
 
 351 
 
 5453071 
 
 401 
 
 6031444. 
 
 451 
 
 6541765 
 
 252 
 
 4014005 
 
 302 
 
 4800069 
 
 352 
 
 5465427 
 
 402 
 
 604226 1 
 
 452 
 
 6551384 
 
 253 
 
 4031205 
 
 303 
 
 4814426 
 
 353 
 
 5477747 
 
 403 
 
 6053050 
 
 453 
 
 6560982 
 
 254 
 
 4048337 
 
 304 
 
 4828736 
 
 354 
 
 5490033 
 
 404 
 
 6063814 
 
 454 
 
 6570559 
 
 255 
 
 4065402 
 
 305 
 
 4842998 
 
 355 
 
 5502284 
 
 405 
 
 6074550 
 
 455 
 
 6580114 
 
 256 
 257 
 
 4082400 
 
 306 
 
 4857214 
 
 356 
 
 5514500 
 
 406 
 
 608^260 
 
 456 
 
 6589648 
 
 4099331 
 
 307 
 
 4871384 
 
 357 
 
 5526682 
 
 407 
 
 6095944 
 
 457 
 
 6599162 
 
 258 
 
 4116197 
 
 308 
 
 4885507 
 
 35S 
 
 5538830 
 
 408 
 
 6106602 
 
 458 
 
 6608655 
 
 259 
 
 4132998 
 
 309 
 
 4899585 
 
 359 
 
 5550944 
 
 t09 
 
 6117233 
 
 459 
 
 6618127 
 
 260 
 
 4149733 
 
 310 
 
 4913617 
 
 360 
 
 5563025 
 
 410 
 
 6127839 
 
 460 
 
 6627578 
 
 261 
 
 4166405 
 
 311 
 
 4927604 
 
 361 
 
 5575072 
 
 411 
 
 6138418 
 
 461 
 
 6637009 
 
 262 
 
 4183013 
 
 312 
 
 4941546 
 
 362 
 
 5587086 
 
 412 
 
 6148972 
 
 462 
 
 6646420 
 
 263 
 
 4199557 
 
 313 
 
 4955443 
 
 363 
 
 5599066 
 
 413 
 
 6159501 
 
 463 
 
 6655810 
 
 264 
 
 4216039 
 
 314 
 
 4969296 
 
 364 
 
 5611014 
 
 414 
 
 6170003 
 
 464 
 
 6665180 
 
 265 
 
 4232459 
 
 315 
 
 4983106 
 
 365 
 
 5622929 
 
 415 
 
 6180481 
 
 465 
 
 6674530 
 
 266 
 
 4248816 
 
 316 
 
 4996871 
 
 366 
 
 5634811 
 
 416 
 
 6190933 
 
 466 
 
 6683859 
 
 267 
 
 4265 1 1 3 
 
 317 
 
 5010593 
 
 367 
 
 56-16661 
 
 417 
 
 6201361 
 
 467 
 
 6693169 
 
 268 
 
 428 1 348 j 
 
 318 
 
 5024271 
 
 368 
 
 5658478 
 
 418 
 
 6211763 
 
 468 
 
 6702459 
 
 269 
 
 4297523 
 
 319 
 
 5037907 
 
 369 
 
 5670264 
 
 419 
 
 6222140 
 
 469 
 
 6711728 
 
 270 
 
 43ia638 
 
 320 
 
 5051500 
 
 370 
 
 5682017 
 
 420 
 
 6232493 
 
 470 
 
 6720979 
 
 271 
 
 4329693 
 
 321 
 
 5065050 
 
 371 
 
 5693739 
 
 421 
 
 6242821 
 
 471 
 
 6730209 
 
 272 
 
 1-345689 
 
 322 
 
 5078559 
 
 372 
 
 5705429 
 
 422 
 
 6253125 
 
 472 
 
 6739420 
 
 273 
 
 4361626 
 
 323 
 
 5092025 
 
 373 
 
 5717088 
 
 423 
 
 6263404 
 
 473 
 
 6748611 
 
 274 
 
 4377506 
 
 324 
 
 5105450 
 
 374 
 
 5728716 
 
 424 
 
 6273659 
 
 474 
 
 6757783 
 
 275 
 
 4393327 
 
 325 
 
 5118834 
 
 375 
 
 5740313 
 
 425 
 
 6283889 
 
 475 
 
 6766036 
 
 276 
 
 440909 1 
 
 326 
 
 5132176 
 
 376 
 
 5751878 
 
 426 
 
 6294096 
 
 476 
 
 6776070 
 
 277 
 
 4424798 
 
 327 
 
 5145478 
 
 377 
 
 5763414 
 
 427 
 
 6304279 
 
 477 
 
 6785184 
 
 278 
 
 4440448 
 
 328 
 
 5158738 
 
 378 
 
 5774918 
 
 428 
 
 6314438 
 
 478 
 
 6794279 
 
 279 
 
 4456042 
 
 329 
 
 5171959 
 
 379 
 
 5786392 
 
 429 
 
 6324573 
 
 479 
 
 6803355 
 
 280 
 
 4471580 
 
 330 
 
 5185139 
 
 380 
 
 S797836 
 
 430 
 
 633i685 
 
 480 
 
 6812412 
 
 281 
 
 4487063 
 
 331 
 
 5198280 
 
 381 
 
 5809250 
 
 431 
 
 6344773 
 
 481 
 
 6821451 
 
 282 
 
 4502491 
 
 332 
 
 5211381 
 
 382 
 
 5820634 
 
 432 
 
 6354837 
 
 482 
 
 6830470 
 
 283 
 
 4517864 
 
 333 
 
 5224442 
 
 383 
 
 5831988 
 
 433 
 
 6364S79 
 
 483 
 
 6839471 
 
 284 
 
 4533183 
 
 334 
 
 5237465 
 
 384 
 
 5843312 
 
 434 
 
 6374897 
 
 484 
 
 6848454 
 
 285 
 
 4548449 
 
 335 
 
 5250448 
 
 385 
 
 5854607 
 
 435 
 
 6384893 
 
 485 
 
 6857417 
 
 286 
 
 4563660 
 
 336 
 
 5263393 
 
 386 
 
 5865873 
 
 436 
 
 6394865 
 
 486 
 
 6866363 
 
 287 
 
 4578819 
 
 337 
 
 5276299 
 
 387 
 
 5877110 
 
 437 
 
 6404814 
 
 487 
 
 6875290 
 
 288 
 
 4593925 
 
 338 
 
 5289167 
 
 388 
 
 5S88317 
 
 438 
 
 6414741 
 
 488 
 
 6884198 
 
 289 
 
 4608978 
 
 339 
 
 5301997 
 
 389 
 
 5899496 
 
 439 
 
 6424645 
 
 489 
 
 6893089 
 
 290 
 
 4623980 
 
 340 
 
 5314789 
 
 390 
 
 5910646 
 
 440 
 
 6434527 
 
 490 
 
 6901961 
 
 291 
 
 4638930 
 
 341 
 
 5327544 
 
 391 
 
 5921768 
 
 441 
 
 6444386 
 
 491 
 
 6910815 
 
 292 
 
 4653829 
 
 342 
 
 5340261 
 
 392 
 
 5932861 
 
 442 
 
 6454223 
 
 492 
 
 6919651 
 
 293 
 
 4668676 
 
 343 
 
 5352941 
 
 393 
 
 5943926 
 
 443 
 
 6464037 
 
 493 
 
 6928469 
 
 294 
 
 4683473 
 
 344 
 
 5365584 
 
 394 
 
 5954962 
 
 444 
 
 6473830 
 
 494 
 
 6937269 
 
 295 
 
 4698220 
 
 346 
 
 5378191 
 
 395 
 
 5965971 
 
 445 
 
 6483600 
 
 495 
 
 6946052 
 
 296 
 
 4712917 
 
 346 
 
 5390761 
 
 396 
 
 5976952 
 
 446 
 
 6493349 
 
 496 
 
 6954817 
 
 297 
 
 4727564 
 
 347 
 
 5403295 
 
 397 
 
 5987905 
 
 447 
 
 6503075 
 
 497 
 
 6963564 
 
 298 
 
 4742163 
 
 348 
 
 5415792 
 
 398 
 
 5998831 
 
 448 
 
 6512780 
 
 498 
 
 6972293 
 
 299 
 
 N. 
 
 4756712 
 
 349 
 
 N. 
 
 5428254 
 
 399 
 
 N.' 
 
 6009729 
 
 449 
 
 N. 
 
 6522463 
 
 Log. 
 
 499 
 
 6981005 
 
 Log. 
 
 Log. 
 
 Log. 
 
 Log. 1 
 
 2 B 2 
 
(4) 
 
 LOGARITHMS N. 500 L. 69 
 
 N. 
 
 Log. 
 
 N. 
 
 550 
 
 Log. 
 
 N. 
 
 )00 
 
 Log. 
 
 650 
 
 Log. 
 
 N. 
 
 700 
 
 Log. 
 
 500 
 
 6989700 
 
 7403627 
 
 7781513 
 
 8129134 
 
 8450980 
 
 501 
 
 6998377 
 
 551 
 
 7411510 
 
 '301 
 
 7788745 
 
 651 
 
 8135810 
 
 701 
 
 8457180 
 
 502 
 
 7007037 
 
 552 
 
 7419391 
 
 'J02 
 
 7795965 
 
 652 
 
 8142476 
 
 702 
 
 8463371 
 
 503 
 
 7015680 
 
 553 
 
 7427251 
 
 603 
 
 7803173 
 
 653 
 
 8149132 
 
 703 
 
 8469553 
 
 50+ 
 
 7024305 
 
 554 
 
 7435098 
 
 604 
 
 7810369 
 
 654 
 
 8155777 
 
 704 
 
 8475727 
 
 505 
 
 70329 1 4 
 
 555 
 
 7442930 
 
 605 
 
 7817554 
 
 655 
 
 8162413 
 
 705 
 
 8481891 
 
 506 
 
 7041505 
 
 556 
 
 7450748 
 
 606 
 
 7824726 
 
 656 
 
 8169038 
 
 706 
 
 8488047 
 
 507 
 
 7050080 
 
 551 
 
 7458552 
 
 607 
 
 7831887 
 
 657 
 
 8175654 
 
 707 
 
 8494194 
 
 508 
 
 7058637 
 
 558 
 
 7466342 
 
 608 
 
 7839036 
 
 658 
 
 8182259 
 
 708 
 
 8500333 
 
 509 
 
 7067178 
 
 559 
 
 7474118 
 
 609 
 
 7846173 
 
 659 
 
 8188854 
 
 709 
 
 8506462 
 
 510 
 
 7075702 
 
 560 
 
 7481880 
 
 610 
 
 7853298 
 
 660 
 
 8195439 
 
 710- 
 
 8512583 
 
 511 
 
 7084209 
 
 561 
 
 7489629 
 
 611 
 
 7860412 
 
 661 
 
 8202015 
 
 711 
 
 8518696 
 
 512 
 
 70927 Of) 
 
 562 
 
 7497363 
 
 612 
 
 7867514 
 
 662 
 
 8208580 
 
 712 
 
 8524800 
 
 513 
 
 7101J74 
 
 563 
 
 7505084 
 
 613 
 
 7874605 
 
 663 
 
 8215135 
 
 713 
 
 8530895 
 
 514 
 
 7109631 
 
 564 
 
 7512791 
 
 614 
 
 7881684 
 
 664 
 
 8221681 
 
 714 
 
 8536982 
 
 515 
 
 7118072 
 
 5Q5 
 
 7520484 
 
 615 
 
 7888751 
 
 665 
 
 8228216 
 
 715 
 
 8543060 
 
 516 
 
 7126497 
 
 566 
 
 7528164 
 
 616 
 
 7895807 
 
 666 
 
 8234742 
 
 716 
 
 8549130 
 
 517 
 
 7134905 
 
 567 
 
 7535831 
 
 617 
 
 7902852 
 
 667 
 
 8241258 
 
 717 
 
 8555192 
 
 518 
 
 7143298 
 
 568 
 
 7543483 
 
 618 
 
 7909885 
 
 668 
 
 8247765 
 
 718 
 
 8561244 
 
 519 
 
 7151674 
 
 569 
 
 7551123 
 
 619 
 
 7916906 
 
 669 
 
 8254261 
 
 719 
 
 85672S9 
 
 520 
 
 7160033 
 
 570 
 
 7558749 
 
 620 
 
 7923917 
 
 670 
 
 8260748 
 
 720 
 
 8573325 
 
 521 
 
 7168377 
 
 571 
 
 7566361 
 
 621 
 
 7930916 
 
 671 
 
 8267225 
 
 721 
 
 8579353 
 
 522 
 
 7176705 
 
 572 
 
 7573960 
 
 622 
 
 7937904 
 
 672 
 
 8273693 
 
 722 
 
 8585372 
 
 523 
 
 7185017 
 
 573 
 
 7581546 
 
 623 
 
 7944880 
 
 673 
 
 8280151 
 
 723 
 
 8591383 
 
 524 
 
 7193313 
 
 574 
 
 7589119 
 
 624 
 
 7951846 
 
 674 
 
 8286599 
 
 724 
 
 8597386 
 
 525 
 
 7201593 
 
 575 
 
 7596678 
 
 625 
 
 7958800 
 
 675 
 
 8293038 
 
 725 
 
 8603380 
 
 526 
 
 7209857 
 
 576 
 
 7604225 
 
 626 
 
 7965743 
 
 676 
 
 8299467 
 
 726 
 
 8609366 
 
 527 
 
 7218106 
 
 577 
 
 7611758 
 
 627 
 
 7972675 
 
 677 
 
 8305887 
 
 727 
 
 8615344 
 
 528 
 
 7226339 
 
 578 
 
 7619278 
 
 628 
 
 7979596 
 
 678 
 
 8312297 
 
 728 
 
 8621314 
 
 529 
 
 7234557 
 
 579 
 
 7626786 
 
 629 
 
 7986506 
 
 679 
 
 8318698 
 
 729 
 
 8627275 
 
 530 
 
 7242759 
 
 580 
 
 7634280 
 
 630 
 
 7993405 
 
 680 
 
 8325089 
 
 730 
 
 8633229 
 
 531 
 
 7250945 
 
 581 
 
 76H761 
 
 631 
 
 8000294 
 
 681 
 
 8331471 
 
 731 
 
 8639174 
 
 532 
 
 7259116 
 
 582 
 
 7649230 
 
 632 
 
 8007171 
 
 682 
 
 8337844 
 
 732 
 
 8645111 
 
 533 
 
 7267272 
 
 583 
 
 76566S6 
 
 633 
 
 8014037 
 
 683 
 
 8344207 
 
 733 
 
 8651040 
 
 534 
 
 7275413 
 
 584 
 
 7664128 
 
 634 
 
 8020893 
 
 684 
 
 8350561 
 
 734 
 
 8656961 
 
 555 
 
 7283538 
 
 585 
 
 7671559 
 
 635 
 
 8027737 
 
 685 
 
 8356906 
 
 735 
 
 8662873 
 
 536 
 
 7291648 
 
 586 
 
 7678976 
 
 636 
 
 8034571 
 
 6S6 
 
 8363241 
 
 736 
 
 8668778 
 
 537 
 
 7299743 
 
 587 
 
 7686381 
 
 637 
 
 8041394 
 
 687 
 
 8369567 
 
 737 
 
 8674675 
 
 538 
 
 7307823 
 
 588 
 
 7693773 
 
 638 
 
 8048207 
 
 688 
 
 8375884 
 
 738 
 
 8680564 
 
 539 
 
 7315888 
 
 589 
 
 7701153 
 
 639 
 
 8055009 
 
 689 
 
 8382192 
 
 739 
 
 8686444 
 
 540 
 
 7323938 
 
 590 
 
 7708520 
 
 640 
 
 8061800 
 
 690 
 
 3388491 
 
 740 
 
 8692317 
 
 541 
 
 7331973 
 
 591 
 
 7715875 
 
 641 
 
 8068580 
 
 691 
 
 8394780 
 
 741 
 
 8698182 
 
 542 
 
 7339993 
 
 592 
 
 7723217 
 
 642 
 
 8075350 
 
 692 
 
 8401061 
 
 742 
 
 8704039 
 
 543 
 
 7347998 
 
 593 
 
 7730547 
 
 643 
 
 8082110 
 
 693 
 
 8407332 
 
 743 
 
 8709888 
 
 544 
 
 7355989 
 
 594 
 
 7737864 
 
 644 
 
 8088S59 
 
 694 
 
 8413595 
 
 744 
 
 8715729 
 
 545 
 
 7363965 
 
 595 
 
 7745170 
 
 645 
 
 8095597 
 
 695 
 
 8419848' 
 
 745 
 
 8721563 
 
 546 
 
 7371926 
 
 596 
 
 7752433 
 
 646 
 
 8102325 
 
 696 
 
 8426092 
 
 746 
 
 8727388 
 
 547 
 
 7379873 
 
 597 
 
 7759743 
 
 647 
 
 8109043 
 
 697 
 
 8432328 
 
 747 
 
 8733206 
 
 548 
 
 7387806 
 
 598 
 
 7767012 
 
 648 
 
 8115750 
 
 698 
 
 8438554 
 
 748 
 
 8739016 
 
 549 
 
 N. 
 
 7 395723 
 
 599 
 
 N. 
 
 7774268 
 
 649 
 
 N. 
 
 8122447 
 
 L02:. 
 
 
 
 699 
 
 N. 
 
 8444772 
 
 749 
 
 N. 
 
 8744818 
 
 Log. 
 
 Log. 
 
 Log. 
 
 Log. . 
 
N.750 L. 87 OF numbers. (5) 
 
 N. 
 
 750 
 
 Loj^. 
 
 N. 
 
 800 
 
 Log. 
 
 N. 
 
 850 
 
 Log. 
 
 N. 
 
 900 
 
 Log. 
 
 N. 
 
 950 
 
 Log. 
 
 8750613 
 
 9030900 
 
 9294189 
 
 9542425 
 
 9777236 
 
 751 
 
 875639.^ 
 
 801 
 
 9036325 
 
 851 
 
 9299296 
 
 901 
 
 9547248 
 
 951 
 
 9781805 
 
 752 
 
 8762178 
 
 802 
 
 9041744 
 
 852 
 
 9304396 
 
 902 
 
 9552065 
 
 952 
 
 9786369 
 
 753 
 
 8767950 
 
 803 
 
 9047155 
 
 853 
 
 9309490 
 
 903 
 
 9556878 
 
 953 
 
 9790929 
 
 754 
 
 8773713 
 
 804 
 
 9052560 
 
 854 
 
 9314579 
 
 904 
 
 9561684 
 
 954 
 
 9795484 
 
 755 
 
 8779470 
 
 805 
 
 9057959 
 
 855 
 
 9319661 
 
 905 
 
 9566486 
 
 955 
 
 9800034 
 
 756 
 
 8785218 
 
 806 
 
 9063350 
 
 856 
 
 9324738 
 
 906 
 
 9571282 
 
 956 
 
 9804579 
 
 757 
 
 8790959 
 
 807 
 
 9068735 
 
 857 
 
 9329808 
 
 907 
 
 9576073 
 
 957 
 
 9809 119 
 
 758 
 
 8796692 
 
 808 
 
 9074114 
 
 858 
 
 9334873 
 
 908 
 
 9580858 
 
 958 
 
 9813655 
 
 759 
 
 8802418 
 
 809 
 
 9079485 
 
 859 
 
 9339932 
 
 909 
 
 9585639 
 
 959 
 
 9818186 
 
 760 
 
 8808136 
 
 810 
 
 9084850 
 
 860 
 
 9344985 
 
 910 
 
 9590414 
 9595184 
 
 960 
 
 9822712 
 
 761 
 
 8813847 
 
 811 
 
 9090209 
 
 861 
 
 9350032 
 
 911 
 
 961 
 
 9827234 
 
 762 
 
 8819550 
 
 812 
 
 9095560 
 
 862 
 
 9355073 
 
 912 
 
 9599948 
 
 962 
 
 9831751 
 
 763 
 
 8825245 
 
 813 
 
 9100905 
 
 863 
 
 9360108 
 
 913 
 
 9604708 
 
 963 
 
 9836263 
 
 764 
 
 8830934 
 
 814 
 
 9106244 
 
 864 
 
 9365137 
 
 914 
 
 9609462 
 
 964 
 
 9840770 
 
 765 
 
 8836614 
 
 815 
 
 9111576 
 
 865 
 
 9370161 
 
 915 
 
 9614211 
 
 965 
 
 9845273 
 
 766 
 
 8842288 
 
 816 
 
 9116902 
 
 866 
 
 9375179 
 
 916 
 
 9618955 
 
 966 
 
 9849771 
 
 767 
 
 8847954 
 
 817 
 
 9122221 
 
 867 
 
 9380191 
 
 917 
 
 9623693 
 
 967 
 
 9854265 
 
 768 
 
 8853612 
 
 818 
 
 9127533 
 
 868 
 
 9385197 
 
 918 
 
 9628427 
 
 968 
 
 9858754 
 
 769 
 
 8859263 
 
 819 
 
 9132839 
 
 869 
 
 9390198 
 
 919 
 
 9633155 
 
 969 
 
 9863238 
 
 770 
 
 8864907 
 
 820 
 
 9138139 
 
 870 
 
 9395193 
 
 920 
 
 9637878 
 
 970 
 
 9867717 
 
 771 
 
 8870544 
 
 821 
 
 9143432 
 
 871 
 
 9400182 
 
 921 
 
 9642596 
 
 971 
 
 9372192 
 
 772 
 
 8876173 
 
 822 
 
 9148718 
 
 872 
 
 9405165 
 
 922 
 
 9647309 
 
 972 
 
 9876663 
 
 773 
 
 8881795 
 
 823 
 
 9153998 
 
 873 
 
 9410142 
 
 923 
 
 9652017 
 
 973 
 
 9831128 
 
 774 
 
 8887410 
 
 824 
 
 9159272 
 
 874 
 
 9415114 
 
 924 
 
 9656720 
 
 974 
 
 9885590 
 
 775 
 
 8893017 
 
 825 
 
 !^164539 
 
 875 
 
 9420081 
 
 925 
 
 9661417 
 
 975 
 
 9890046 
 
 776 
 
 8898617 
 
 826 
 
 9169800 
 
 876 
 
 9425041 
 
 926 
 
 9666110 
 
 976 
 
 9894498 
 
 777 
 
 8904210 
 
 827 
 
 9175055 
 
 877 
 
 9429996 
 
 927 
 
 9670797 
 
 977 
 
 9898946 
 
 778 
 
 8909796 
 
 828 
 
 9180303 
 
 878 
 
 9434945 
 
 928 
 
 9675480 
 
 978 
 
 9903389 
 
 779 
 
 8915375 
 
 829 
 
 9 J 85545 
 
 879 
 
 9439889 
 
 929 
 
 9680157 
 
 979 
 
 9907827 
 
 780 
 
 8920946 
 
 830 
 
 9190781 
 
 880 
 
 9444827 
 
 930 
 
 9684829 
 
 980 
 
 9912261 
 
 781 
 
 8926510 
 
 831 
 
 9196010 
 
 881 
 
 9449759 
 
 931 
 
 9689497 
 
 981 
 
 9916690 
 
 7H2 
 
 8932068 
 
 832 
 
 9201233 
 
 882 
 
 9454686 
 
 932 
 
 9694159 
 
 982 
 
 9921115 
 
 783 
 
 8937618 
 
 833 
 
 9206450 
 
 883 
 
 9459607 
 
 933 
 
 9698816 
 
 983 
 
 9925535 
 
 784 
 
 8943161 
 
 834 
 
 9211661 
 
 884 
 
 9464523 
 
 934 
 
 9703469 
 
 984 
 
 9929951 
 
 785 
 
 8948697 
 
 835 
 
 9216865 
 
 885 
 
 9469433 
 
 935 
 
 9708116 
 
 985 
 
 9934362 
 
 786 
 
 8954225 
 
 836 
 
 9222063 
 
 886 
 
 9474337 
 
 936 
 
 9712758 
 
 986 
 
 9938769 
 
 787 
 
 8959747 
 
 837 
 
 9227255 
 
 887 
 
 9479236 
 
 937 
 
 9717396 
 
 987 
 
 9943172 
 
 788 
 
 8965262 
 
 838 
 
 9232440 
 
 888 
 
 9484130 
 
 938 
 
 9722028 
 
 988 
 
 9947569 
 
 789 
 
 8970770 
 
 839 
 
 9237620 
 
 889 
 
 9489018 
 
 939 
 
 9726656 
 
 989 
 
 9951963 
 
 790 
 
 8976271 
 
 840 
 
 9242793 
 
 890 
 
 9493900 
 
 940 
 
 9731279 
 
 990 
 
 9956352 
 
 791 
 
 8981765 
 
 841 
 
 9247960 
 
 891 
 
 9498777 
 
 941 
 
 9735896 
 
 991 
 
 9960737 
 
 792 
 
 8987252 
 
 842 
 
 9253121 
 
 892 
 
 9503649 
 
 942 
 
 9740509 
 
 992 
 
 9965117 
 
 793 
 
 8992732 
 
 843 
 
 9258276 
 
 893 
 
 9508515 
 
 943 
 
 9745117 
 
 993 
 
 9969492 
 
 794 
 
 8998205 
 
 844 
 
 9263424 
 
 894 
 
 9513375 
 
 944 
 
 9749720 
 
 994 
 
 9973864 
 
 795 
 
 9003671 
 
 845 
 
 9268567 
 
 895 
 
 95 I 8230 
 
 945 
 
 9754318 
 
 995 
 
 9978231 
 
 796 
 
 9009131 
 
 846 
 
 9273704 
 
 896 
 
 9523080 
 
 946 
 
 9758911 
 
 996 
 
 9982593 
 
 797 
 
 9014583 
 
 847 
 
 9278834 
 
 897 
 
 9527924 
 
 947 
 
 9763500 
 
 997 
 
 9986952 
 
 798 
 
 9020029 
 
 848 
 
 9283959 
 
 898 
 
 9532763 
 
 948 
 
 9768083 
 
 998 
 
 9991305 
 
 799 
 
 N. 
 
 9025468 
 
 Log. 
 
 849 
 
 N. 
 
 9289077 
 
 899 
 
 9537597 
 
 949 
 
 N. 
 
 9772662 
 
 999 
 
 N. 
 
 9995655 
 
 Log. 
 
 J^Og- 
 
 Log. 
 
 Log. 
 
(6) LOGARITHMS N. 10000 L. 000 
 
 N. 
 
 1000 
 
 
 
 1 
 
 0434 
 
 2 
 
 0869 
 
 3 
 
 1303 
 
 4 
 
 1737 
 
 5 
 
 2171 
 
 6 
 
 2605 
 
 7 
 
 3039 
 
 8 
 
 3473 
 
 9 
 
 Dif.&Pro.Pts. 
 
 0000000 
 
 3907 
 
 434 
 
 433 
 
 432 
 
 01 
 
 4341 
 
 4775 
 
 5208 
 
 5642 
 
 6076 
 
 6510 
 
 6943 
 
 7377 
 
 7810 
 
 8244 
 
 i 43 
 
 43 
 
 43 
 
 02 
 
 8677 
 
 9111 
 
 9544 
 
 9977 
 
 0411 
 
 0844 
 
 1277 
 
 1710 
 
 2143 
 
 2576 
 
 2 87 
 
 87 
 
 86 
 
 03 
 
 001 3009 
 
 3442 
 
 3875 
 
 4308 
 
 4741 
 
 5174 
 
 5607 
 
 6039 
 
 6472 
 
 6905 
 
 3 13C 
 
 13C 
 
 130 
 
 04 
 
 7337 
 
 7770 
 
 8202 
 
 8635 
 
 9067 
 
 9499 
 
 9932 
 
 0364 
 
 0796 
 
 122.8 
 
 4 174 
 
 5 217 
 
 173 
 217 
 
 173 
 216 
 
 05 
 
 0021661 
 
 2093 
 
 2525 
 
 2957 
 
 3389 
 
 3821 
 
 4253 
 
 4685 
 
 5116 
 
 5548 
 
 6 26C 
 
 26C 
 
 259 
 
 06 
 
 5980 
 
 6411 
 
 6843 
 
 7275 
 
 7706 
 
 8138 
 
 8569 
 
 9001 
 
 9432 
 
 9863 
 
 7 30^ 
 
 1303 
 
 302 
 
 07 
 
 0030295 
 
 0726 
 
 1157 
 
 1588 
 
 2019 
 
 2451 
 
 2882 
 
 3313 
 
 3744 
 
 4174 
 
 8 347 
 
 346 
 
 346 
 
 08 
 
 .4605 
 
 5036 
 
 5467 
 
 5898 
 
 6328 
 
 6759 
 
 7190 
 
 7620 
 
 8051 
 
 8481 
 2784 
 
 9 391 
 
 390i58y I 
 
 09 
 
 8912 
 
 9342 
 
 9772 
 
 0203 
 
 0633 
 
 1063 
 
 1493 
 
 1924 
 
 2354 
 
 431 
 
 430 
 
 429 
 
 1010 
 
 0043214 
 
 3644 
 
 4074 
 
 4504 
 
 4933 
 
 5363 
 
 5793 
 
 6223 
 
 6652 
 
 7082 
 
 1 43 
 
 2 86 
 
 43 
 86 
 
 43 
 86 
 
 11 
 
 7512 
 
 7941 
 
 8371 
 
 8800 
 
 9229 
 
 9659 
 
 0088 
 
 0517 
 
 0947 
 
 1376 
 
 3 129 
 
 129 
 
 129 
 
 12 
 
 0051805 
 
 2234 
 
 2663 
 
 3092 
 
 3521 
 
 3950 
 
 4379 
 
 4808 
 
 5237 
 
 5666 
 
 4 172 
 
 172 
 
 172 
 
 13 
 
 6094 
 
 6523 
 
 6952 
 
 7380 
 
 7809 
 
 8238 
 
 8666 
 
 9094 
 
 9523 
 
 9951 
 
 5 216 
 
 6 259 
 
 7 302 
 
 215 
 
 215 
 
 H 
 
 0060380 
 
 0808 
 
 1236 
 
 1664 
 
 2092 
 
 2521 
 
 2949 
 
 3377 
 
 3805 
 
 4233 
 
 258 
 301 
 
 257 
 300 
 
 15 
 
 4660 
 
 5088 
 
 5516 
 
 5944 
 
 6372 
 
 6799 
 
 7227 
 
 7655 
 
 8082 
 
 8510 
 
 8 345 
 
 344 
 
 343 
 
 16 
 17 
 
 8937 
 0073210 
 
 9365 
 3637 
 
 9792 
 4064 
 
 0219 
 4490 
 
 0647 
 4917 
 
 1074 
 5344 
 
 1501 
 5771 
 
 1928 
 6198 
 
 2355 
 6624 
 
 2782 
 7051 
 
 9 388 
 
 387 
 
 386 
 
 428 
 
 427 
 
 426 
 
 18 
 
 7478 
 
 7904 
 
 8331 
 
 8757 
 
 9184 
 
 9610 
 
 0(^37 
 
 0463 
 
 0889 
 
 1316 
 
 1 43 
 
 43 
 
 4S 
 
 19 
 
 0081742 
 
 2168 
 
 2594 
 
 3020 
 
 3446 
 
 3872 
 ^130 
 
 4298 
 
 4724 
 
 5150 
 
 5576 
 
 2 86 
 
 3 128 
 
 85 
 128 
 
 85 
 128 
 
 1020 
 
 6002 
 
 6427 
 
 6853 
 
 7279 
 
 7704 
 
 8556 
 
 8981 
 
 9407 
 
 9832 
 
 4 171 
 
 171 
 
 170 
 
 21 
 
 0090257 
 
 0683 
 
 1108 
 
 1533 
 
 1959 
 
 2384 
 
 2809 
 
 3234 
 
 3659 
 
 4084 
 
 5214 
 
 214 
 
 213 
 
 22 
 
 4509 
 
 4934 
 
 5359 
 
 5784 
 
 6208 
 
 6633 
 
 7058 
 
 7483 
 
 7907 
 
 8332 
 
 6 257 
 
 7 300 
 
 8 342 
 
 256 
 299 
 342 
 
 256 
 
 23 
 
 8756 
 
 9181 
 
 9605 
 
 0030 
 
 0454 
 
 0878 
 
 1303 
 
 1727 
 
 2151 
 
 2575 
 
 298 
 341 
 
 24 
 25 
 
 0103000 
 7239 
 
 3424 
 7662 
 
 3848 
 8086 
 
 4272 
 8510 
 
 4696 
 8933 
 
 5120 
 9357 
 
 5544 
 9780 
 
 5967 
 0204 
 
 6391 
 0527 
 
 6815 
 1050 1 
 
 9 385 
 
 384 
 
 383 
 
 425 
 
 424 
 
 423 
 
 26 
 
 0111474 
 
 1897 
 
 2320 
 
 2743 
 
 3166 
 
 3590 
 
 4013 
 
 4436 
 
 4859 
 
 5282 
 
 i"43 
 
 42 
 
 42 
 
 27 
 
 ^704 
 
 6127 
 
 6550 
 
 6973 
 
 7396 
 
 7818 
 
 8241 
 
 8664 
 
 90F6 
 
 9509 
 
 2 85 
 
 85 
 
 85 
 
 28 
 
 9931 
 
 0354 
 
 0776 
 
 1198 
 
 1621 
 
 2043 
 
 2465 
 
 2887 
 
 3310 
 
 3732 
 
 3 128 
 
 127 
 
 127 
 
 29 
 
 0124154 
 
 4576 
 
 4998 
 
 5420 
 
 5842 
 
 6264 
 
 6685 
 
 7107 
 
 7529 
 
 7951 
 
 4 170 
 
 5 213 
 
 170 
 212 
 
 169 
 212 
 
 1030 
 
 8372 
 
 8794 
 
 9215 
 
 9637 
 
 0059 
 
 0480 
 
 0901 
 
 1323 
 
 1744 
 
 2165 
 
 6 255 
 
 254 
 
 254 
 
 31 
 
 0132587 
 
 3008 
 
 3429 
 
 3850 
 
 4271 
 
 4692 
 
 5113 
 
 5534 
 
 5955 
 
 6376 
 
 7 298 
 
 297 
 
 296 
 
 32 
 
 6797 
 
 7218 
 
 7639 
 
 8059 
 
 8480 
 
 8901 
 
 9321 
 
 9742 
 
 0162 
 
 0583 
 
 8 340 
 
 9 383 
 
 339 
 
 338 
 
 301 
 
 S3 
 
 0141003 
 
 1424 
 
 1844 
 
 2264 
 
 2685 
 
 3105 
 
 3525 
 
 3945 
 
 4365 
 
 4785 
 
 •7 XjfjiJ %^K^*4 *J\J X. I 
 
 422 
 
 421 
 
 420 
 
 34 
 
 5205 
 
 5625 
 
 6045 
 
 6465 
 
 6885 
 
 7305 
 
 7725 
 
 8144 
 
 8564 
 
 8984 
 
 
 
 
 
 
 
 
 
 
 
 
 I 42 
 
 42 
 
 42 
 
 35 
 
 9403 
 
 9823 
 
 0243 
 
 0662 
 
 1082 
 
 1501 
 
 1920 
 
 2340 
 
 2759 
 
 3178 
 
 2 84 
 
 84 
 
 84 
 
 36 
 
 0153598 
 
 4017 
 
 4436 
 
 4855 
 
 5274 
 
 5693 
 
 6112 
 
 6531 
 
 6950 
 
 7369 
 
 3 127 
 
 126 
 
 126 
 
 37 
 
 7788 
 
 8206 
 
 8625 
 
 9044 
 
 9462 
 
 9881 
 
 0300 
 
 0718. 
 
 1137 
 
 1555 
 
 4 169 1681 
 
 168 
 
 38 
 
 0161974 
 
 2392 
 
 2810 
 
 3229 
 
 3647 
 
 4065 
 
 4483 
 
 4901 
 
 5319 
 
 5737 
 
 5211 
 
 6 253 
 
 7 295 
 
 .ill 
 
 253 
 295 
 
 210 
 252 
 294 
 
 39 
 
 6155 
 
 6573 
 
 6991 
 
 7409 
 
 7827 
 
 8245 
 
 8663 
 
 9080 
 
 9498 
 
 9916 
 
 1040 
 
 0170333 
 
 0751 
 
 1168 
 
 1586 
 
 2003 
 
 2421 
 
 2838 
 
 3256 
 
 3673 
 
 4090 
 
 8 338 
 
 337 
 
 336 
 
 41 
 
 4507 
 
 4924 
 
 5342 
 
 57 5p 
 9927 
 
 6176 
 
 6593 
 
 7010 
 
 7427 
 
 7844 
 
 8260 
 
 9 380c5/y3/«| 
 
 42 
 
 8677 
 
 9094 
 
 9511 
 
 0344 
 
 0761 
 
 1177 
 
 1594 
 
 2010 
 
 2427 
 
 419 
 
 418 
 
 417 
 
 43 
 
 0182843 
 
 3259 
 
 3676 
 
 4092 
 
 4508 
 
 4925 
 
 5341 
 
 5757 
 
 6J73 
 
 6589 
 
 1 42 
 
 42 
 
 42 
 
 44 
 
 7005 
 
 7421 
 
 7837 
 
 8253 
 
 8669 
 
 9084 
 
 9500 
 
 9916 
 
 0332 
 
 0747 
 
 2 84 
 i 126 
 
 84 
 125 
 
 83 
 125 
 
 45 
 
 0191163 
 
 1578 
 
 1994 
 
 2410 
 
 2825' 
 
 ,3240 
 
 3656 
 
 4071 
 
 4486 
 
 4902 
 
 4 168 
 
 167 
 
 167 
 
 46 
 
 5317 
 
 5732 
 
 6147 
 
 6562 
 
 6977 " 
 
 7392 
 
 7807 
 
 8222 
 
 8637 
 
 9052 
 
 •)210 
 
 209 
 
 209 
 
 47 
 48 
 
 9467 
 0203613 
 
 9882 
 4027 
 
 0296 
 4442 
 
 0711 
 4856 
 
 1126 
 
 5270 
 
 1540 
 5684 
 
 1955 
 6099 
 
 2369 
 6513 
 
 2784 
 6927 
 
 3198 
 7341 
 
 S251 
 -293 
 3 335 
 
 251 
 293 
 334 
 
 250 
 
 292 
 334 
 
 49 
 
 7755 
 
 8169 
 1 
 
 8583 
 2 1 
 
 8997 
 
 3 
 
 9411 
 4 
 
 9824 
 
 5 
 
 0238 
 
 6 I 
 
 0652 
 
 7 
 
 1066 
 8 
 
 1479 
 
 9 h 
 
 5 377 
 
 3761. 
 
 375 
 
 
 
 Dif.& 
 
 Pro. 
 
 Pts. 
 
N. 10500 L.021 OF NUMBERS. (7) 
 
 N. I 
 
 1050 
 
 
 
 1 
 
 2507 
 
 2 
 
 2720 
 
 3 
 
 4 
 
 3547] 
 
 5 
 
 396? 
 
 6 
 
 4374 
 
 7 
 
 4787 
 
 8 
 
 5201 
 
 9 
 
 Dif.&Pro.Pts. 
 
 0211893 
 
 3134 
 
 5614 
 
 416 
 
 41514141 
 
 51 
 
 6027 
 
 6440 
 
 6854 
 
 7267 
 
 7680 
 
 8093 
 
 8506 
 
 8919 
 
 9332 
 
 9745 
 
 I 42 
 
 42 
 
 41 
 
 52 
 
 0220157 
 
 0570 
 
 0983 
 
 1396 
 
 1808 
 
 2221 
 
 2634 
 
 3046 
 
 3459 
 
 3871 
 
 2 83 
 
 83 
 
 83 
 
 53 
 
 4284 
 
 4696 
 
 5109 
 
 5521 
 
 5933 
 
 6345 
 
 6758 
 
 7170 
 
 7582 
 
 7994 
 
 3 125 
 
 125 
 
 124 
 
 54 
 
 8406 
 
 8818 
 
 9230 
 
 9642 
 
 0054 
 
 0466 
 
 0878 
 
 1289 
 
 1701 
 
 2113 
 
 4 166 
 
 5 208 
 
 166 
 208 
 
 166 
 
 207 
 
 55 
 
 0232525 
 
 2936 
 
 3348 
 
 3759 
 
 4171 
 
 4582 
 
 4994 
 
 5405 
 
 5817 
 
 6228 
 
 6 250 
 
 249 
 
 248 
 
 5Q 
 
 6639 
 
 7050 
 
 7462 
 
 7873 
 
 8284 
 
 8695 
 
 9106 
 
 9517 
 
 9928 
 
 0339 
 
 7 291 {291 
 
 290 
 
 57 
 
 0240750 
 
 1161 
 
 1572 
 
 1982 
 
 2393 
 
 2804 
 
 3214 
 
 3625 
 
 4036 
 
 4446 
 
 8 333 332 
 
 Q *' /I "7 /I 
 
 331 
 
 IHCt 
 
 58 
 
 4857 
 8960 
 
 0253059 
 
 5267 
 9370 
 
 3468 
 
 5678 
 9780 
 
 8878 
 
 6088 
 Sl90 
 
 4288 
 
 6498 
 0600 
 
 4697 
 
 6909 
 1010 
 
 5107 
 
 7319 
 1419 
 5516 
 
 7729 
 1829 
 
 5926 
 
 8139 
 2239 
 
 6335 
 
 8549 
 2649 
 6744 
 
 y .i^4'd/4-j/ o\ 
 
 59 
 1060 
 
 413 
 
 412 
 
 411 
 
 1 41 
 
 2 83 
 
 41 
 
 82 
 
 41 
 
 82 
 
 61 
 
 7154 
 
 7563 
 
 7972 
 
 8382 
 
 8791 
 
 9200 
 
 9609 
 
 OOI8 
 
 0427 
 
 0836 
 
 3 124 
 
 124 
 
 123 
 
 62 
 
 0261245 
 
 1654 
 
 2063 
 
 2472 
 
 2881 
 
 3289 
 
 3698 
 
 4107 
 
 4515 
 
 4924 
 
 4 165 
 
 165 
 
 164 
 
 63 
 
 5333 
 
 5741 
 
 6150 
 
 6558 
 
 6967 
 
 7375 
 
 7783 
 
 8192 
 
 8600 
 
 9008 
 
 5 207 
 
 6 248 
 
 7 289 
 
 206 
 247 
 
 288 
 
 206 
 247 
 288 
 
 64 
 
 9416 
 
 9824 
 
 0233 
 
 0641 
 
 1049 
 
 1.457 
 
 1865 
 
 2273 
 
 2680 
 
 3088 
 
 65 
 
 0273496 
 
 3904 
 
 4312 
 
 4719 
 
 5127 
 
 5535 
 
 5942 
 
 6350 
 
 6757 
 
 7165 
 
 8 '330 
 
 330|329 
 371I37O 
 
 66 
 67 
 
 7572 
 0281644 
 
 7979 
 2051 
 
 83«7 
 2458 
 
 8794 
 2865 
 
 9201 
 3272 
 
 9609 
 3679 
 
 0016 
 4086 
 
 0423 
 4492 
 
 0830 
 
 4899 
 
 1237 
 5306 
 
 9 372 
 
 410 
 
 409 
 
 408 
 
 68 
 
 5713 
 
 6119 
 
 6526 
 
 6932 
 
 7339 
 
 7745 
 
 8152 
 
 8558 
 
 8964 
 
 9371 
 
 1 41 
 
 41 
 
 41 
 
 69 
 
 9777 
 
 0183 
 
 0590 
 
 0996 
 
 1402 
 
 1808 
 
 2214 
 
 2620 
 
 3026 
 
 3432 
 
 2 82 
 
 3 123 
 
 82 
 123 
 
 82 
 122 
 
 1070 
 
 0293838 
 
 4244 
 
 4649 
 
 5055 
 
 5461 
 
 5867 
 
 6272 
 
 6678 
 
 7084 
 
 7489 
 
 4 164 
 
 164 
 
 163 
 
 71 
 
 7895 
 
 8300 
 
 8706 
 
 9111 
 
 951& 
 
 '?)922 
 
 <5327 
 
 0732 
 
 1138 
 
 1543 
 
 5 205 
 
 205 
 
 204 
 
 72 
 73 
 
 0301948 
 5997 
 
 2353 
 6402 
 
 2758 
 6807 
 
 3163 
 7211 
 
 3568 
 7616 
 
 3973 
 8020 
 
 4378 
 8425 
 
 4783 
 8830 
 
 5188 
 9234 
 
 5592 
 9638 
 
 6 246 
 
 7 287 
 
 8 328 
 
 245 
 286 
 327 
 
 245 
 286 
 326 
 
 74 
 75 
 
 0310043 
 4085 
 
 0447 
 4489 
 
 0851 
 4893 
 
 1256 
 5296 
 
 1660 
 5700 
 
 2064 
 6104 
 
 2468 
 6508 
 
 2872 
 6912 
 
 3277 
 7315 
 
 3681 
 7719 
 
 9 369 
 
 368 
 
 367 
 
 407 
 
 '^ 
 
 405 
 
 76 
 
 8123 
 
 8526 
 
 8930 
 
 9333 
 
 9737 
 
 0140 
 
 0544 
 
 0947 
 
 1350 
 
 1754 
 
 1 41 
 
 41 
 
 4L 
 
 77 
 
 0322157 
 
 2560 
 
 2963 
 
 3367 
 
 3770 
 
 4173 
 
 4576 
 
 4979 
 
 5382 
 
 5785 
 
 2 81 
 
 81 
 
 81 
 
 78 
 
 6188 
 
 6590 
 
 6993 
 
 7396 
 
 7799 
 
 8201 
 
 8604 
 
 9007 
 
 9409 
 
 9812 
 
 3 122 
 
 /I 1 fJo 
 
 122 
 
 122: 
 
 79 
 
 0330214 
 
 0617 
 
 1019 
 
 1422 
 
 1824 
 
 2226. 
 
 2629 
 
 3031 
 
 3433 
 
 3835 
 
 4 lOcJ iUZ 
 
 5 204 203 
 
 162' 
 203 
 
 1080 
 
 4238 
 
 4640 
 
 5042 
 
 5444 
 
 5846 
 
 6248 
 
 6650 
 
 7052 
 
 7453 
 
 7855 
 
 6 244 244 
 
 243 
 
 81 
 
 8257 
 
 8659 
 
 9060 
 
 9462 
 
 9864 
 
 0265 
 
 0667 
 
 1068 
 
 1470 
 
 1871 
 
 7 285 284 
 
 8 326 32^5 
 
 9 366 365 
 
 284 
 
 B2 
 83 
 
 0342273 
 6285 
 
 2674 
 6686 
 
 3075 
 7087 
 
 3477 
 
 7487 
 
 3878 
 7888 
 
 4279 
 
 8289 
 
 4680 
 8690 
 
 5081 
 9091 
 
 5482 
 9491 
 
 5884 
 9892 
 
 324 
 365 
 
 404 
 1 40 
 
 AlYi 
 
 402 
 40 
 80 
 
 84 
 
 0350293 
 
 0693 
 
 1094 
 
 1495 
 
 1895 
 
 2296 
 
 2696 
 
 3096 
 
 3497 
 
 3897 
 
 40 
 
 85 
 
 4297 
 
 4698 
 
 5098 
 
 5498 
 
 5898 
 
 6298 
 
 6698 
 
 7098 
 
 7498 
 
 7898 
 
 2 81 
 
 81 
 
 86 
 
 8298 
 
 8698 
 
 9098 
 
 9498 
 
 9898 
 
 0297 
 
 0697 
 
 1097 
 
 1496 
 
 1896 
 
 3 121 
 
 121 
 
 121 
 
 87 
 
 0362295 
 
 2695 
 
 3094 
 
 3494 
 
 3893 
 
 4293 
 
 4692 
 
 5091 
 
 5491 
 
 5890 
 
 4 162 
 
 5 202 
 
 6 242 
 
 161 
 202 
 242 
 
 16i; 
 
 88 
 
 6289 
 
 6688 
 
 7087 
 
 7486 
 
 7885 
 
 8284 
 
 8683 
 
 9082 
 
 9481 
 
 9880 
 
 201 
 241 
 
 89 
 
 0370279 
 
 0678 
 
 1076 
 
 1475 
 
 1874 
 
 2272 
 
 2671 
 
 3070 
 
 3468 
 
 3867 
 
 7 283 
 
 282 
 
 28r 
 
 1090 
 
 4265 
 
 4663 
 
 5062 
 
 5460 
 
 5858 
 
 6257 
 
 6655 
 
 7053 
 
 7451 
 
 7849 
 
 8 323 
 
 322 
 
 322. 
 
 91 
 
 8248 
 
 8646 
 
 9044 
 
 9442 
 
 9839 
 
 S237 
 
 0635 
 
 1033 
 
 1 43 1 
 
 1829 
 5804 
 
 y 0)b4 00^51^0:^] 
 
 92 
 
 0382226 
 
 2624 
 
 3022 
 
 3419 
 
 3$17 
 
 4214 
 
 4612 
 
 5009 
 
 5407 
 
 401 
 
 i00!399 
 
 93 
 
 6202 
 
 6599 
 
 6996 
 
 7393 
 
 7791 
 
 8188 
 
 8585 
 
 8982 
 
 9379 
 
 9776 
 
 1I0 
 
 40 
 
 40 
 
 94 
 
 OS90173 
 
 0570 
 
 0967 
 
 1364 
 
 1761 
 
 2158 
 
 2554 
 
 2951 
 
 3348 
 
 3745 
 
 2 80 
 
 3 120 
 
 80 
 120 
 
 80' 
 120; 
 
 95 
 
 4141 
 
 4538 
 
 4934 
 
 5331 
 
 5727 
 
 6124 
 
 6520 
 
 6917 
 
 7313 
 
 7709 
 
 4 160 
 
 160 
 
 160. 
 
 96 
 
 8106 
 
 8502 
 
 8898 
 
 9294 
 
 9690 
 
 0086 
 
 0482 
 
 0878 
 
 1274 
 
 1670 
 
 5 201 
 
 200 
 
 200, 
 
 97 
 
 0402066 
 
 2462 
 
 2858 
 
 3254 
 
 3650 
 
 4045 
 
 4441 
 
 4837 
 
 5232 
 
 5628 
 
 6 24] 
 
 7 281 
 
 240 
 
 280 
 
 235' 
 
 970 ■ 
 
 . 98 
 
 6023 
 
 6419 
 
 68 1 4 
 
 7210 
 
 7605 
 
 8001 
 
 8396 
 
 8791 
 
 9187 
 
 9582 
 
 8 321 
 
 320 
 
 319 
 
 99 
 
 --N. 
 
 9977 
 
 0372 
 ^ 1 
 
 0767 
 
 2 
 
 ,1 1 62 
 
 s 
 
 1557 
 4 
 
 1952 
 i 5 
 
 2347 
 
 6 
 
 2742 
 
 rf 
 ( 
 
 3137 
 8 
 
 3532 
 
 9I36I 
 
 3601 
 
 ?59 
 
 
 
 Dif.&Prc.Pts.' 
 
(8) LOGARITHMS N. 1 1000 L. 041 
 
 N. 
 
 1100 
 
 
 
 1 
 
 4322 
 
 2 
 
 4716 
 
 3 
 
 5511 
 
 4 
 5506 
 
 5 
 
 5900 
 
 6 
 
 6295 
 
 • 7 
 
 66.^0 
 
 8 
 
 9 
 
 7479 
 
 Dif.&Pro.Pts. 
 
 0413927 
 
 7084 
 
 39^ 
 
 39713961 
 
 01 
 
 7873 
 
 8268 
 
 8662 
 
 9056 
 
 9451 
 
 9845 
 
 0239 
 
 0633 
 
 1028 
 
 1422 
 
 1 4C 
 
 40 
 
 40 
 
 02 
 
 0421816 
 
 2210 
 
 2604 
 
 2998 
 
 3392 
 
 3786 
 
 4180 
 
 4574 
 
 4968 
 
 5861 
 
 2 8C 
 
 7^ 
 
 79 
 
 03 
 
 5755 
 
 6149 
 
 6543 
 
 6936 
 
 7330 
 
 7723 
 
 8117 
 
 8510 
 
 8904 
 
 9297 
 
 311S 
 
 119 
 
 119 
 
 04 
 
 9691 
 
 0084 
 
 0477 
 
 0871 
 
 1264 
 
 1657 
 
 2050 
 
 2444 
 
 2837 
 
 3230 
 
 4 159 
 
 5 199 
 
 159 
 lion 
 
 158 
 198 
 
 238 
 
 05 
 
 0433623 
 
 4016 
 
 4409 
 
 4802 
 
 5195 
 
 5587 
 
 5980 
 
 6373 
 
 6766 
 
 7159 
 
 6 239 238 
 
 06 
 
 7551 
 
 7944 
 
 8337 
 
 8729 
 
 9122 
 
 9514 
 
 9907 
 
 0299 
 
 0692 
 
 1084 
 
 7 279 
 
 278 
 
 277 
 
 07 
 
 0441476 
 
 1869 
 
 2261 
 
 2653 
 
 3045 
 
 3437 
 
 3829 
 
 4222 
 
 4614 
 
 5006 
 
 8 318 
 
 318 
 
 317 
 
 08 
 
 5398 
 
 5790 
 
 6181 
 
 6573 
 
 6965 
 
 7857 
 
 7749 
 
 8140 
 
 8532 
 
 8924 
 
 9 358iiio/ 
 
 356 
 
 09 
 
 9315 
 
 9707 
 
 0099 
 
 0490 
 
 0882 
 
 1273 
 
 1664 
 
 2056 
 
 2447 
 
 2889 
 
 _3y6 
 
 1 4G 
 
 394 
 39 
 
 393 
 39 
 
 1110 
 
 0453230 
 
 3621 
 
 4012 
 
 4403 
 
 4795 
 
 5186 
 
 5577 
 
 5968 
 
 6359 
 
 6750 
 
 2 7B 
 
 79 
 
 79 
 
 11 
 
 7141 
 
 7531 
 
 7922 
 
 8313 
 
 8704 
 
 9095 
 
 9485 
 
 9876 
 
 0267 
 
 0657 
 
 3 119 
 
 118 
 
 118 
 
 12 
 
 0461048 
 
 1438 
 
 1829 
 
 2219 
 
 2610 
 
 3000 
 
 3391 
 
 3781 
 
 4171 
 
 4561 
 
 4 158 
 
 158 
 
 157 
 
 13 
 
 495^ 
 
 '5342 
 
 5732 
 
 6122 
 
 6512 
 
 6902 
 
 7292 
 
 7682 
 
 8072 
 
 8462 
 
 5 198 
 
 6 237 
 
 7 277 
 
 197 
 
 236 
 276 
 
 236 
 
 275 
 
 14 
 
 8852 
 
 9242 
 
 9632 
 
 0021 
 
 0411 
 
 0801 
 
 1190 
 
 1580 
 
 1970 
 
 2359 
 
 15 
 
 0472749 
 
 3138 
 
 3528 
 
 3917 
 
 4306 
 
 4696 
 
 5085 
 
 5474 
 
 5864 
 
 6253 
 
 8316 
 
 315 
 
 314 
 
 16 
 17 
 
 .18 
 
 6642 
 0480532 
 . 4418 
 
 7031 
 0921 
 4806 
 
 7420 
 1309 
 5195 
 
 7809 
 1698 
 5583 
 
 8198 
 2057 
 5972 
 
 8587 
 2475 
 6360 
 
 8976 
 2864 
 6748 
 
 9365 
 3253 
 7136 
 
 9754 
 3641 
 7525 
 
 0143 
 4080 
 7913 
 
 9 356 
 
 355 
 
 354 
 
 392 
 
 391 
 
 390 
 
 I 39 
 
 39 
 
 39' 
 
 19 
 
 8301 
 
 8689 
 
 9077 
 
 9465 
 
 9853 
 
 0241 
 
 0629 
 
 1017 
 
 1405 
 
 1792 
 
 2 78 
 
 3 118 
 
 78 
 117 
 
 78 
 117 
 
 1120 
 
 0492180 
 
 2568 
 
 2956 
 
 3343 
 
 3731 
 
 4119 
 
 4506 
 
 4894 
 
 5281 
 
 5669 
 
 4 157 
 
 156 
 
 F66 
 
 21 
 
 6056 
 
 6444 
 
 6831 
 
 7218 
 
 7606 
 
 7993 
 
 8380 
 
 8767 
 
 9154 
 
 9541 
 
 6 196 
 
 196 
 
 195 
 
 22 
 
 9929 
 
 0316 
 
 0703 
 
 1090 
 
 1477 
 
 1863 
 
 2250 
 
 2637 
 
 8024 
 
 3411 
 
 6 235 
 
 7 274 
 8314 
 
 236 
 274 
 313 
 
 234 
 273 
 312 
 
 23 
 
 0503798 
 
 4184 
 
 4571 
 
 4958 
 
 5344 
 
 5731 
 
 6117 
 
 6504 
 
 6890 
 
 7277 
 
 24 
 25 
 
 7663 
 0511525 
 
 8049 
 1911 
 
 8436 
 2297 
 
 8822 
 2683 
 
 9208 
 3069 
 
 9595 
 3455 
 
 9981 
 3841 
 
 0367 
 
 4227 
 
 0753 
 4612 
 
 1139 
 4998 
 
 9 353 
 
 352 
 
 361 
 
 389 
 
 388 
 
 387 
 
 26 
 
 5384 
 
 5770 
 
 6155 
 
 6541 
 
 6926 
 
 7312 
 
 7697 
 
 8083 
 
 8468 
 
 8854 
 
 1 39 
 
 39 
 
 39 
 
 27 
 
 9239 
 
 9624 
 
 0010 
 
 0395 
 
 0780 
 
 1166 
 
 1551 
 
 1936 
 
 2321 
 
 2706 
 
 2 78 
 
 78 
 
 77 
 
 28 
 
 0523091 
 
 3476 
 
 3861 
 
 4246 
 
 4631 
 
 5016 
 
 5400 
 
 5785 
 
 6170 
 
 Q555 
 
 3 117 
 
 4 156 
 
 5 195 
 
 110 
 165 
 194 
 
 116 
 155 
 194 
 
 29 
 
 6939 
 
 7324 
 
 7709 
 
 8093 
 
 8478 
 
 8862 
 
 9247 
 
 9631 
 
 0016 
 
 0400 
 
 1130 
 
 0530784 
 
 1169 
 
 1553 
 
 1937 
 
 2321 
 
 2706 
 
 3090 
 
 3474 
 
 3858 
 
 4242 
 
 6 233 
 
 233 
 
 232 
 
 31 
 
 4626 
 
 5010 
 
 5394 
 
 5778 
 
 6162 
 
 6546 
 
 6929 
 
 7313 
 
 7697 
 
 8081 
 
 7 272 
 8311 
 9 350 
 
 272 
 310 
 349 
 
 271 
 310 
 
 348 
 
 32 
 ^3 
 
 8464 
 0542299 
 
 8848 
 2682 
 
 9232 
 3066 
 
 9615 
 3449 
 
 9999 
 3832 
 
 0382 
 4215 
 
 0766 
 4598 
 
 1149 
 4981 
 
 1532 
 53Q5 
 
 1916 
 
 5748 
 
 386 
 
 ■^pt: goi \ 
 
 34 
 
 6131 
 
 6514 
 
 6896 
 
 7279 
 
 7662 
 
 8045 
 
 8428 
 
 8811 
 
 9193 
 
 9576 
 
 
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 yja-r 
 
 1 39 
 
 39 
 
 38 
 
 35 
 
 9959 
 
 0341 
 
 0724 
 
 1106 
 
 1489 
 
 1871 
 
 2254 
 
 2636 
 
 3019 
 
 3401 
 
 2 77 
 
 77 
 
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 36 
 
 0553783 
 
 4166 
 
 4548 
 
 4930 
 
 5312 
 
 5694 
 
 6077 
 
 6459 
 
 6841 
 
 7223 
 
 3 116 
 
 116 
 
 115 
 
 37 
 
 7605 
 
 7987 
 
 8369 
 
 8750 
 
 9132 
 
 9514 
 
 9896 
 
 0278 
 
 0659 
 
 1041 
 
 4 154 
 
 5 193 
 
 6 232 
 
 154 
 193 
 231 
 
 154 
 192 
 230 
 
 38 
 
 0561423 
 
 1804 
 
 2186 
 
 2567 
 
 2949 
 
 3330 
 
 3712 
 
 4098 
 
 4475 
 
 4856 
 
 39 
 
 5237 
 
 5619 
 
 6000 
 
 6381 
 
 6762 
 
 7143 
 
 7524 
 
 7905 
 
 8287 
 
 8668 
 
 7 270 
 
 270 
 
 269 
 
 1140 
 
 9049 
 
 9429 
 
 9810 
 
 0191 
 
 0572 
 
 0953 
 
 1334 
 
 1714 
 
 2095 
 
 2476 
 
 8 309 
 n '3A'7 
 
 308 
 
 307 
 346 
 
 41 
 
 42 
 
 0572856 
 6661 
 
 3237 
 7041 
 
 3618 
 7422 
 
 3998 
 7802 
 
 4379 
 8182 
 
 4759 
 8562 
 
 5140 
 8942 
 
 5520 
 9322 
 
 5900 
 9702 
 
 6281 
 0082 
 
 '^i 6'il ot/| 
 
 383 
 
 ^82 
 
 381 
 
 48 
 
 0580462 
 
 0842 
 
 1222 
 
 1602 
 
 1982 
 
 2362 
 
 2741 
 
 3121 
 
 3501 
 
 3881 
 
 1 38 
 
 2 71 
 
 3 115 
 
 38 
 
 7Q 
 
 115 
 
 ~38 
 
 7Q 
 
 114 
 
 44 
 
 4260 
 
 4640 
 
 5019 
 
 5399 
 
 5778 
 
 6158 
 
 6537 
 
 6917 
 
 7296 
 
 7676 
 
 45 
 
 8055 
 
 8434 
 
 8813 
 
 9193 
 
 9572 
 
 9951 
 
 0330 
 
 0709 
 
 1088 
 
 1467 ' 
 
 il53 
 
 163 
 
 152 
 
 46 
 
 0591846 
 
 2225 
 
 2604 
 
 2983 
 
 3362 
 
 3741 
 
 4119 
 
 4498 
 
 4377 
 
 5256 
 
 5 192 
 3 230 
 7 268 
 
 191 
 
 70Q 
 
 191 
 
 47 
 
 5634 
 
 6013 
 
 6391 
 
 6770 
 
 7148 
 
 7527 
 
 7905 
 
 8284 
 
 8662 
 
 9041 
 
 2671267 
 
 48 
 
 9419 
 
 9797 
 
 0175 
 
 0554 
 
 0932 
 
 1310 
 
 1688 
 
 2066 
 
 2444 
 
 2822 
 
 3 306 
 
 306,305 
 
 49 
 
 N. 
 
 0603200 
 
 3578 
 1 
 
 3956 
 
 4334 
 
 4712 
 
 4 
 
 5090 
 
 5 
 
 5468 
 
 5845 
 
 6223 
 
 6601 
 
 9 1 
 
 )!345 
 
 344,343 
 
 
 
 2 
 
 3 
 
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 7 1 
 
 8 
 
 Dif.&Pro.Pts. 
 
'N. 1 1.500 L. 060 OF NUMBERS. (9) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 9244 
 3017 
 
 7 
 
 8 
 
 .9 
 
 Dif.&PlO.PtS. 
 
 1150 
 51 
 
 060697 8 
 0610753 
 
 7356 
 1131 
 
 7734 
 1508 
 
 8111 
 1885 
 
 8t89 
 2262 
 
 8866 
 2639 
 
 9621 
 3394 
 
 9999 
 3771 
 
 (5376 
 4148 
 
 380 
 
 379 
 
 378 
 
 1 38 
 
 "38 
 
 38 
 
 52 
 
 4;525 
 
 4902 
 
 5279 
 
 5Q5t} 
 
 6032 
 
 6409 
 
 6786 
 
 7163 
 
 7540 
 
 7916 
 
 2 76 
 
 76 
 
 76 
 
 53 
 
 8293 
 
 8670 
 
 9046 
 
 9423 
 
 !)799 
 
 0176 
 
 0552 
 
 0929 
 
 1305 
 
 1682 
 
 3 114 
 
 114 
 
 113 
 
 54- 
 
 0622058 
 
 2434 
 
 2811 
 
 3187 
 
 3563 
 
 3939 
 
 4316 
 
 4692 
 
 5068 
 
 5444 
 
 4 152 
 
 5 190 
 
 152 
 190 
 
 151 
 
 189 
 
 55 
 
 5820 
 
 6196 
 
 6572 
 
 6948 
 
 7324 
 
 7699 
 
 8075 
 
 8151 
 
 8827 
 
 9203 
 
 6 228 
 
 227 
 
 227 
 
 5Q 
 
 957 8 
 
 9954 
 
 0330 
 
 0705 
 
 1081 
 
 1456 
 
 1832 
 
 2207 
 
 2583 
 
 2958 
 
 7 2G'6' 
 
 265 
 
 265 
 
 51 
 
 0633334 
 
 3709 
 
 4084 
 
 4460 
 
 4835 
 
 5210 
 
 5585 
 
 5960 
 
 6335 
 
 6711 
 
 8 304 
 
 303 
 
 302 
 
 •I An 
 
 58 
 59 
 
 7086 
 0640834 
 
 7461 
 1209 
 
 7836 
 1584 
 
 8211 
 1958 
 
 8585 
 2333 
 
 8960 
 2708 
 
 9335 
 3082 
 
 9710 
 3457 
 
 0085 
 3331 
 
 0460, 
 4205 
 
 y .i^jjio-tiiotv/i 
 
 :i77 
 
 1 38 
 
 2 75 
 
 3? 
 38 
 75 
 
 'i75 
 
 1160 
 
 4580 
 
 4954 
 
 5329 
 
 5703 
 
 6077 
 
 6451 
 
 68 6 
 
 7200 
 
 7574 
 
 7948 
 
 38 
 76 
 
 61 
 
 8322 
 
 8696 
 
 9070 
 
 9444 
 
 9818 
 
 0192 
 
 0566 
 
 0940 
 
 1314 
 
 1688 
 
 3 113 
 
 113 
 
 113 
 
 62 
 
 0652061 
 
 2435 
 
 2809 
 
 3182 
 
 3556 
 
 3930 
 
 4303 
 
 4677 
 
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 150 
 
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 63 
 
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 6171 
 
 6544 
 
 6917 
 
 7291 
 
 7664 
 
 8037 
 
 8410 
 
 8784 
 
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 5 189 
 
 6 226 
 
 7 264 
 
 188 
 226 
 263 
 
 188 
 226 
 
 263 
 
 64 
 
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 2886 1 
 
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 66 
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 92 ?0 
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 9964 
 3685 
 
 S3 3 6 
 4057 
 
 9 339 
 
 3381338 1 
 
 374 
 
 373 
 
 372 
 
 68 
 
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 7030 
 
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 69 
 
 8145 
 
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 3112 
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 76 
 
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 74 
 112 
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 3714 
 
 4085 
 
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 4827 
 
 5198 
 
 149 
 
 71 
 
 5569 
 
 5940 
 
 6311 
 
 6681 
 
 7052 
 
 7423 
 
 7794 
 
 8164 
 
 8535 
 
 8906 
 
 5 187 
 
 187 
 
 186 
 
 72 
 
 9276 
 
 9647 
 
 0017 
 
 0388 
 
 0758 
 
 1129 
 
 1499 
 
 1869 
 
 2240 
 
 2610 
 
 G 224 
 7 262 
 a 9qq 
 
 224 
 
 223 
 
 73 
 
 0692980 
 
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 3721 
 
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 4831 
 
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 5571 
 
 5941 
 
 6311 
 
 261 
 298 
 336 
 
 260 
 298 
 335 
 
 74 
 75 
 
 6681 
 0700379 
 
 7051 
 0748 
 
 7421 
 1118 
 
 7791 
 1487 
 
 8160 
 1857 
 
 8530 
 2226 
 
 8900 
 2596 
 
 9270 
 2965 
 
 9639 
 3335 
 
 0009 
 3704 
 
 9 337 
 
 . ^-^^ 
 
 I70 
 
 iG9 
 
 76 
 
 4073 
 
 4442 
 
 4812 
 
 5181 
 
 5550 
 
 5919 
 
 6288 
 
 6658 
 
 7027 
 
 7396 
 
 1 37 
 
 37 
 
 37 
 
 77 
 
 7765 
 
 8134 
 
 8503 
 
 8871 
 
 9240 
 
 9609 
 
 9978 
 
 0347 
 
 0715 
 
 1084 
 
 2 74 
 
 74 
 
 74 
 
 78 
 
 0711453 
 
 1822 
 
 2190 
 
 2559 
 
 2927 
 
 3296 
 
 3664 
 
 4033 
 
 4401 
 
 4770 
 
 3 111 
 
 111 
 
 111 
 
 79 
 
 5138 
 
 5506 
 
 5875 
 
 6243 
 
 6611 
 
 6979 
 
 7348 
 
 7716 
 
 8084 
 
 8452 
 
 4 148 
 
 5 186 
 
 148 
 185 
 
 148 
 185 
 
 1180 
 
 8820 
 
 9188 
 
 955Q 
 
 9924 
 
 0292 
 
 0660 
 
 1028 
 
 1396 
 
 1763 
 
 2131 
 
 6 223 
 
 222 
 
 221 
 
 81 
 
 0722499 
 
 2867 
 
 3234 
 
 3602 
 
 3970 
 
 4337 
 
 4705 
 
 5072 
 
 5440 
 
 5807 
 
 7 260 
 
 259 
 
 258 
 
 82 
 
 6175 
 
 6542 
 
 6910 
 
 7277 
 
 7644 
 
 8011 
 
 8379 
 
 8746 
 
 9113 
 
 9480 
 
 8 297 
 
 9 HH4 
 
 296 
 
 295 
 
 83 
 84 
 
 9847 
 0733517 
 
 0215 
 
 3884 
 
 0582 
 4251 
 
 0949 
 4617 
 
 1316 
 
 4984 
 
 1683 
 5351 
 
 2050 
 5717 
 
 2416 
 6084 
 
 2783 
 6450 
 
 3150 
 6817 
 
 <f OO'i tj^^j-tjoz 1 
 
 368 
 
 j6l 
 
 366 
 
 
 
 
 
 
 
 
 
 
 
 
 1 67 
 
 37 
 
 37 
 
 85 
 
 7184 
 
 7550 
 
 7916 
 
 8283 
 
 8649 
 
 9016 
 
 9382 
 
 9748 
 
 0114 
 
 0481 
 
 2 74 
 
 73 
 
 73 
 
 86 
 
 0740847 
 
 1213 
 
 1579 
 
 1945 
 
 2311 
 
 2677 
 
 3043 
 
 3409 
 
 3775 
 
 4141 
 
 3110 
 
 110 
 
 110 
 
 87 
 
 4507 
 
 4873 
 
 5239 
 
 5605 
 
 5970 
 
 0336 
 
 6702 
 
 7008 
 
 7433 
 
 7799 
 
 4 147 
 
 147 
 
 146 
 
 88 
 
 8164 
 
 8530 
 
 8895 
 
 9261 
 
 9626 
 
 9992 
 
 0357 
 
 0723 
 
 1088 
 
 1453 
 
 5 184 
 
 6 221 
 
 7 258 
 
 184 
 220 
 257 
 
 183 
 220 
 256 
 
 89 
 
 0751819 
 
 2184 
 
 2549 
 
 2914 
 
 3279 
 
 3644 
 
 |010 
 
 4375 
 
 4740 
 
 5105 
 
 1190 
 
 5470 
 
 5835 
 
 6199 
 
 6564 
 
 6929 
 
 7294 
 
 7659 
 
 8024 
 
 8388 
 
 8753 
 
 8 294 
 
 294 
 
 293 
 
 91 
 92 
 
 9118 
 0762763 
 
 9482 
 3127 
 
 9847 
 3491 
 
 0211 
 
 3855 
 
 0576 
 4220 
 
 0940 
 
 4584 
 
 1305 
 
 4948 
 
 1669 
 5312 
 
 2034 
 5676 
 
 2398 
 6040 
 
 9 331 330'329| 
 
 36r^ 
 
 364 
 
 '^63 
 
 93 
 
 6404 
 
 6768 
 
 7132 
 
 7496 
 
 7860 
 
 8224 
 
 8588 
 
 8952 
 
 9316 
 
 9680 
 
 1 37 
 
 36 
 
 36 
 
 94 
 
 0770043 
 
 0407 
 
 0771 
 
 1134 
 
 1498 
 
 1862 
 
 2225 
 
 2589 
 
 2952 
 
 3316 
 
 2 73 
 
 3 1 10 
 
 73 
 109 
 
 73 
 109 
 145 
 
 95 
 
 3679 
 
 4042 
 
 4406 
 
 4769 
 
 5133 
 
 5496 
 
 5859 
 
 6222 
 
 6585 
 
 6949 
 
 4 146 
 
 146 
 
 96 
 
 7312 
 
 7675 
 
 8038 
 
 8401 
 
 8764 
 
 9127 
 
 9490 
 
 9853 
 
 0216 
 
 0579 
 
 5 183 
 
 182 
 
 182 
 
 97 
 
 0780942 
 
 1304 
 
 1667 
 
 2030 
 
 2393 
 
 2755 
 
 3118 
 
 3480 
 
 3843 
 
 4206 
 
 6 219 
 
 7 256 
 
 8 292 
 
 218 
 
 218 
 
 98 
 
 4568 
 
 4931 
 
 5293 
 
 5Q5Q 
 
 6018 
 
 6380 
 
 6743 
 
 7105 
 
 7467 
 
 7830 
 
 255 
 291 
 
 254 
 290 
 
 99 
 
 8192 
 
 8554 
 
 8916 
 
 9278 
 
 9640 
 
 0003 
 
 0365 
 
 0727 
 
 1089 
 
 1451 
 
 9 329 
 
 328 
 
 327 
 
 N. 
 
 
 
 1 
 
 ^ 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 J 
 
 8 
 
 9 1 
 
 Dif.&Pro.Pts.j 
 
 2C 
 
(10^ LOGARITHMS N. 1 2000 L. 079 
 
 N. 
 
 I'iOO 
 
 
 
 1 
 
 o 
 
 3 
 
 4 
 
 5 
 
 6" 
 
 7 
 
 S 
 
 9 
 
 Dif.&Pro.Pts.| 
 
 0791812 
 
 2174 
 
 2536 
 
 2898 
 
 3260 
 
 3622 
 
 3983 
 
 4345 
 
 4707 
 
 5068 
 
 362 
 
 361 
 
 360 
 
 01 
 
 5430 
 
 5792 
 
 6153 
 
 6515 
 
 6876 
 
 7238 
 
 7599 
 
 7961 
 
 8322 
 
 8683 
 
 I 36 
 
 36 
 
 36 
 
 02 
 
 9045 
 
 9406 
 
 9767 
 
 5128 
 
 0490 
 
 0851 
 
 1212 
 
 1^73 
 
 1934 
 
 2295 
 
 2 72 
 
 72 
 
 72 
 
 03 
 
 0802656 
 
 3017 
 
 3378 
 
 3739 
 
 4100 
 
 4461 
 
 4822 
 
 5183 
 
 5543 
 
 5904 
 
 3 109 
 
 108 
 
 108 
 
 04 
 
 6265 
 
 6626 
 
 6986 
 
 7347 
 
 7707 
 
 8068 
 
 8429 
 
 8789 
 
 9150 
 
 9510 
 
 4 145 
 
 5 181 
 
 144 
 
 IP.] 
 
 144 
 
 180 
 
 05 
 
 9870 
 
 U231 
 
 0591 
 
 0952 
 
 1312 
 
 lo7 2 
 
 2032 
 
 2393 
 
 2753 
 
 3113 
 
 6 217 217 
 
 216 
 
 05 
 
 0813473 
 
 3833 41931 
 
 4553 
 
 4913 
 
 5273 
 
 5633 
 
 5993 
 
 6353 
 
 6713 
 
 7 253 253 
 
 252 
 
 07 
 
 7073 
 
 7+32 
 
 7792 
 
 8152 
 
 8512 
 
 8871 
 
 9231 
 
 9591 
 
 9950 
 
 0310 
 
 8 290 289 
 
 
 
 288 
 
 in A 
 
 08 
 OQ 
 
 0820669 
 4263 
 
 1029 
 
 1388 
 
 1748 
 
 2107 
 
 2467 
 6059 
 
 9648 
 
 2826 
 6418 
 
 3185 
 6777 
 
 0365 
 
 3545 
 7136 
 
 3904! 
 7495 
 
 1083 
 
 ^ OZU .iZO'ox<«| 
 
 4622 
 
 4981 
 
 5341 
 
 5700 
 
 359 
 
 358 
 
 357'- 
 
 1210 
 
 . 7854 
 
 8213 
 
 8571 
 
 8930 
 
 9289 
 
 0007 
 
 0724 
 
 1 36 
 
 2 72 
 
 36 
 
 72 
 
 36 
 71 
 
 11 
 
 0831441 
 
 1800 
 
 2159 
 
 2517 
 
 2876 
 
 3234 
 
 3593 
 
 3951 
 
 4309 
 
 4668 
 
 3 108 
 
 107 
 
 107 
 
 12 
 
 5026 
 
 5385 
 
 5743 
 
 6101 
 
 645Q 
 
 6817 
 
 7176 
 
 7534 
 
 7892 
 
 8250 
 
 4 144 
 
 143 
 
 143 
 
 13 
 
 8608 
 
 8966 
 
 9324 
 
 9682 
 
 0040 
 
 0398 
 
 0756 
 
 1114 
 
 1471 
 
 1829 
 
 5 180 
 6215 
 7 251 
 
 179 179 
 215 214 
 251 250 
 
 14 
 
 084^187 
 
 2545 
 
 2902 
 
 3260 
 
 3618 
 
 3975 
 
 4333 
 
 4690 
 
 5048 
 
 5405 
 
 15 
 
 5763 
 
 6120 
 
 6478 
 
 6835 
 
 7192 
 
 7550 
 
 7907 
 
 8264 
 
 8621 
 
 8979 
 
 8 287 
 
 2861286 
 
 16 
 17 
 
 9336 
 0852906 
 
 9693 
 3263 
 
 0050 
 3619 
 
 0407 
 3976 
 
 0764 
 4333 
 
 1121 
 
 4690 
 
 1478 
 5046 
 
 1835 
 5403 
 
 2192 
 5760 
 
 2549 1 
 61161 
 
 9 323 322 3211 
 
 356 
 
 355 
 
 354 
 
 18 
 
 6473 
 
 6829 
 
 7186 
 
 7542 
 
 7899 
 
 8255 
 
 8612 
 
 8968 
 
 9324 
 
 9681 
 
 1 36 
 
 36 
 
 35 
 
 19 
 
 0860037 
 
 0393 
 
 0750 
 
 1106 
 
 1462 
 
 1818 
 
 2174 
 
 2530 
 
 2886 
 
 3242 
 
 2 7] 
 
 3 107 
 
 71 
 107 
 
 71 
 106 
 
 1220 
 
 3598 
 
 3954 
 
 4310 
 
 4666 
 
 5022 
 
 5378 
 
 5734 
 
 6089 
 
 6445 
 
 6801 
 
 4 142 
 
 142 
 
 142 
 
 21 
 
 7157 
 
 7512 
 
 7868 
 
 8224 
 
 8579 
 
 8935 
 
 9290 
 
 9646 
 
 0001 
 
 0357 
 
 5 178 
 
 178 
 
 177 
 
 OP 
 
 0870712 
 
 1067 
 
 1423 
 
 1778 
 
 2133 
 
 2489 
 
 2844 
 
 3199 
 
 3554 
 
 3909 
 
 6214 
 
 7 249 
 
 8 285 
 
 213 
 249 
 
 284 
 
 212 
 248 
 283 
 
 23 
 
 4265 
 
 4620 
 
 4975 
 
 5330 
 
 5685 
 
 6040 
 
 6395 
 
 6750 
 
 7104 
 
 7459 
 
 24 
 
 7814 
 
 8169 
 1715 
 
 8524 
 2070 
 
 8878 
 2424 
 
 9233 
 
 2779 
 
 9588 
 3133 
 
 9943 
 3488 
 
 0297 
 3842 
 
 0652 
 4196 
 
 1006 
 4550 
 
 9 320 
 
 320 
 
 319 
 
 25 
 
 0881361 
 
 353 
 
 352 
 
 351 
 
 26 
 
 4905 
 
 5259 
 
 5613 
 
 5967 
 
 6321 
 
 6676 
 
 7030 
 
 7384 
 
 7738 
 
 8092 
 
 lis 
 
 35 
 
 ~35 
 
 27 
 
 8446 
 
 8800 
 
 9153 
 
 9507 
 
 9861 
 
 0215 
 
 0569 
 
 0923 
 
 1276 
 
 1630 
 
 2 71 
 
 70 
 
 70 
 
 28 
 
 0891984 
 
 2337 
 
 2691 
 
 3045 
 
 3398 
 
 3752 
 
 4105 
 
 4459 
 
 4812 
 
 5165 
 
 3 106 
 
 4 1/11 
 
 106 
 
 105 
 
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 5519 
 
 5872 
 
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 6579 
 
 6932 
 
 7285 
 
 7639 
 
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 5 177 176 
 
 140 
 176 
 
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 1169 
 
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 2228 
 
 6 212 211 
 
 211 
 
 31 
 
 0902581 
 
 2933 
 
 3286 
 
 3639 
 
 3991 
 
 4344 
 
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 7 247 246 
 
 8 282'282 
 9318:317 
 
 246 
 
 32 
 
 33 
 
 6107 
 9631 
 
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 9983 
 
 6812 
 0335 
 
 7164 
 0687 
 
 7517 
 1039 
 
 7869 
 1392 
 
 8222 
 1744 
 
 8574 
 2096 
 
 8926 
 2448 
 
 9279 
 2800 
 
 281 
 316 
 
 350 
 
 349 
 35 
 
 348 
 5t; 
 
 34 
 
 0913152 
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 3504 
 
 3855 
 
 4207 
 
 4559 
 
 4911 
 
 5263 
 
 5614 
 
 5966 
 
 6318 
 
 I 35 
 
 35 
 
 7021 
 
 7373 
 
 7724 
 
 8076 
 
 8427 
 
 8779 
 
 9130 
 
 9482 
 
 9833 
 
 2 70 
 
 70 
 
 O.J 
 
 70 
 
 36 
 
 0920185 
 
 0536 
 
 0887 
 
 1239 
 
 1590 
 
 1941 
 
 2292 
 
 2644 
 
 2995 
 
 3346 
 
 3 105 
 
 105 
 
 104 
 
 37 
 
 3697 
 
 4048 
 
 4399 
 
 4750 
 
 5101 
 
 5452 
 
 5803 
 
 6154 
 
 6505 
 
 6856 
 
 4 140 
 
 5 175 
 6210 
 
 140 
 175 
 209 
 
 139 
 
 38 
 
 7206 
 
 7557 
 
 7908 
 
 8259 
 
 8609 
 
 8960 
 
 9311 
 
 9661 
 
 0012 
 
 0363 
 
 174 
 209 
 
 39 
 
 0930713 
 
 1064 
 
 1414 
 
 1764 
 
 2115 
 
 2465 
 
 2816 
 
 3166 
 
 3516 
 
 3867 
 
 7 245 
 
 244 
 
 244 
 
 1240 
 
 4217 
 
 4567 
 
 4917 
 
 5267 
 
 5618 
 
 5968 
 
 6318 
 
 6668 
 
 7018 
 
 7368 
 
 8 280 
 
 279 
 
 278 
 
 41 
 
 7718 
 
 8068 
 
 8418 
 
 8768 
 
 9117 
 
 9467 
 
 9817 
 
 D167 
 
 05)7 
 
 0866 
 
 9 SlSicil'ticSlii 1 
 
 42 
 
 0941216 
 
 1566 
 
 1915 
 
 2265 
 
 2614 
 
 2964 
 
 3313 
 
 3663 
 
 4012 
 
 4362 
 
 347 
 
 346 
 
 345 
 
 43 
 
 4711 
 
 5061 
 
 5410 
 
 5759 
 
 6109 
 
 6458 
 
 6807 
 
 7156 
 
 7506 
 
 7855 
 
 1 35 
 
 2 69 
 
 3 104 
 
 35 
 
 35 
 
 44 
 
 8204 
 
 8553 
 
 8902 
 
 9251 
 
 9600 
 
 9949 
 
 0298 
 
 0647 
 
 0996 
 
 1345 
 
 69 
 104 
 
 69 
 104 
 
 45 
 
 0951694 
 
 2042 
 
 2391 
 
 2740 
 
 3089 
 
 3437 
 
 3786 
 
 4135 
 
 4483 
 
 4832 
 
 4 139 
 
 138 
 
 138 
 
 46 
 
 5180 
 
 5529 
 
 5877 
 
 6226 
 
 6574 
 
 6923 
 
 7271 
 
 7620 
 
 7968 
 
 8316 
 
 5 174 
 
 6 208 
 
 7 24J 
 
 173 
 
 173 
 
 47 
 
 8665 
 
 9013 
 
 9361 
 
 9709 
 
 0057 
 
 ■0406 
 
 0754 
 
 1102 
 
 1450 
 
 1798 
 
 208 
 242 
 
 207 
 242 
 
 48 
 
 0962146 
 
 2494 
 
 2842 
 
 3190 
 
 3538 
 
 3885 
 
 4233 
 
 4581 
 
 4929 
 
 5277 
 
 8 278 
 
 277 
 
 276 
 
 49 
 
 5624 
 
 5972 
 
 6320 
 
 2 
 
 6667 
 
 7015 
 
 7363 
 
 7710 
 
 8058 
 
 8405 
 
 8753 
 
 9 
 
 9I312 
 
 311 
 
 311 
 
 
 
 ] 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 Dif.&Pro.Pti. 
 
N. 12^00 L.096 OF NUMBERS. (11) 
 
 N. 
 
 1250 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 0490 
 
 5 
 
 6 
 
 1184 
 
 7 
 
 8 
 
 1879 
 
 9 
 
 Differ. 
 
 3969100 
 
 9448 
 
 9795 
 
 0142 
 
 0837 
 
 1531 
 
 2226 
 
 _ 3441343 
 
 51 
 
 3972573 
 
 2920 
 
 3267 
 
 3614 
 
 3962 
 
 4309 
 
 4656 
 
 5003 
 
 5349 
 
 5696 
 
 1 34 
 
 34 
 
 52 
 
 6043 
 
 6390 
 
 6737 
 
 7084 
 
 7431 
 
 7777 
 
 8124 
 
 8471 
 
 8817 
 
 9164 
 
 2 69 
 
 69 
 
 53 
 
 9511 
 
 9857 
 
 0204 
 
 0550 
 
 0897 
 
 1243 
 
 1590 
 
 1936 
 
 2283 
 
 2629 
 
 3 103 
 
 103 
 
 54 
 
 0982975 
 
 3322 
 
 3668 
 
 4014 
 
 4360 
 
 4707 
 
 5053 
 
 5399 
 
 5745 
 
 6091 
 
 4 J38 
 a 172 
 
 137 
 
 172 
 
 55 
 
 6437 
 
 6783 
 
 7129 
 
 7475 
 
 7821 
 
 8167 
 
 8513 
 
 8859 
 
 9205 
 
 9551 
 
 b'206 
 
 206 
 
 56 
 
 9896 
 
 0242 
 
 0588 
 
 0934 
 
 1279 
 
 1625 
 
 1971 
 
 2316 
 
 2662 
 
 3007 
 
 7 241 
 
 240 
 
 51 
 
 0993353 
 
 3698 
 
 4044 
 
 4389 
 
 4735 
 
 5080 
 
 5425 
 
 5771 
 
 6116 
 
 6461 
 
 8 2/5 
 
 9 310 
 
 274 
 309 
 
 5S 
 
 6806 
 1000257 
 
 7152 
 0602 
 
 7497 
 0947 
 
 7842 
 1292 
 
 8187 
 1637 
 
 8532 
 1982 
 
 8877 
 2327 
 
 9222 
 2671 
 
 9567 
 3016 
 
 9912 
 3361 
 
 59 
 
 342 
 
 1 34 
 
 2 68 
 
 341 
 34 
 68 
 
 1260 
 
 3705 
 
 4050 
 
 4395 
 
 4739 
 
 5084 
 
 5429 
 
 5773 
 
 6118 
 
 6462 
 
 6806 
 
 61 
 
 7151 
 
 7495 
 
 7840 
 
 8184 
 
 8528 
 
 8873 
 
 9217 
 
 9561 
 
 9905 
 
 0249 
 
 3 103 
 
 102 
 
 62 
 
 1010594 
 
 0938 
 
 1282 
 
 1626 
 
 1970 
 
 2314 
 
 2658 
 
 3002 
 
 3346 
 
 3690 
 
 4 137 
 
 136 
 
 63 
 
 4034 
 
 4377 
 
 4721 
 
 5065 
 
 5409 
 
 5752 
 
 6096 
 
 6440 
 
 6784 
 
 7127 
 
 5 171 
 
 6 205 
 
 7 239 
 
 171 
 
 205 
 239 
 
 64 
 
 7471 
 
 7814 
 
 8158 
 
 8501 
 
 8845 
 
 9188 
 
 9532 
 
 9875 
 
 0219 
 
 0562 
 
 Q5 
 
 1020905 
 
 1249 
 
 1592 
 
 1935 
 
 2278 
 
 2621 
 
 2965 
 
 3308 
 
 3651 
 
 3994 
 
 8 274 
 
 273 
 
 m 
 
 4337 
 
 4680 
 
 5023 
 
 5366 
 
 5709 
 
 6052 
 
 6395 
 
 6738 
 
 7081 
 
 7423 
 
 9 3081307 ] 
 
 67 
 
 7766 
 
 8109 
 
 8452 
 
 8794 
 
 9137 
 
 9480 
 
 9822 
 
 0165 
 
 0507 
 
 0850 
 
 340 
 
 339 
 
 68 
 
 1031193 
 
 1535 
 
 1877 
 
 2220 
 
 2562 
 
 2905 
 
 3247 
 
 3589 
 
 3932 
 
 4274 
 
 1 34 
 
 'ii 
 
 69 
 
 4616 
 
 4958 
 
 5301 
 
 5643 
 
 5985 
 
 6327 
 
 6669 
 
 7011 
 
 7353 
 
 7695 
 
 2 m 
 
 3 3 02 
 
 68 
 102 
 
 1270 
 
 8037 
 
 8379 
 
 8721 
 
 9063 
 
 9405 
 
 9747 
 
 0089 
 
 0430 
 
 0772 
 
 1114 
 
 4 136 
 
 136 
 
 71 
 
 1041456 
 
 1797 
 
 2139 
 
 2480 
 
 2822 
 
 3164 
 
 3505 
 
 3847 
 
 4188 
 
 4530 
 
 5 170 
 
 170 
 
 72 
 
 4871 
 
 5213 
 
 5554 
 
 5895 
 
 6237 
 
 6578 
 
 6919 
 
 7260 
 
 7602 
 
 7943 
 
 6 204 
 
 7 238 
 
 8 272 
 
 203 
 237 
 271 
 
 73 
 
 8284 
 
 8625 
 
 8966 
 
 9307 
 
 9648 
 
 9989 
 
 0331 
 
 0671 
 
 1012 
 
 1353 
 
 74 
 75 
 
 1051694 
 5102 
 
 2035 
 5442 
 
 2376 
 
 5783 
 
 2717 
 6124 
 
 3058 
 6464 
 
 3398 
 6805 
 
 3739 
 7145 
 
 4080 
 7486 
 
 4421 
 7826 
 
 4761 
 8166 
 
 9 306 
 
 305 
 
 338 
 
 337 
 
 76 
 
 8507 
 
 8847 
 
 9187 
 
 9528 
 
 9868 
 
 0208 
 
 0548 
 
 0889 
 
 1229 
 
 1569 
 
 1 34 
 
 34 
 
 77 
 
 1061909 
 
 2249 
 
 2589 
 
 2929 
 
 3269 
 
 3609 
 
 3949 
 
 4289 
 
 4629 
 
 4969 
 
 2 68 
 
 67 
 
 78 
 
 5309 
 
 5648 
 
 5988 
 
 6328 
 
 6668 
 
 7007 
 
 7347 
 
 7687 
 
 8026 
 
 8366 
 
 3 101 
 
 4 135 
 
 5 169 
 
 101 
 135 
 169 
 
 79 
 
 8705 
 
 9045 
 
 9385 
 
 9724 
 
 0063 
 
 0403 
 
 0742 
 
 1082^ 
 
 ^.421 
 
 1760 
 
 1280 
 
 1072100 
 
 2439 
 
 2778 
 
 3117 
 
 3457 
 
 3796 
 
 4135 
 
 4474 
 
 4813 
 
 5152 
 
 6 2031202 
 
 81 
 
 5491 
 
 5830 
 
 6169 
 
 6508 
 
 6847i 
 
 7 1 86 
 
 7525 
 
 7864 
 
 8203 
 
 8541 
 
 7 237 """ 
 
 o 07n 
 
 270 
 303 
 
 82 
 
 8880 
 1082267 
 
 9219 
 2605 
 
 9558 
 
 9896 
 
 0235 
 
 0574 
 
 0912 
 
 1251 
 
 1590 
 
 1928 
 
 9 304 
 
 83 
 
 2944 
 
 3282 
 
 3620 
 
 3959 
 
 4297 
 
 4635 
 
 4974 
 
 5312 
 
 336 
 
 335 
 
 84 
 
 5650 
 
 5988 
 
 6327 
 
 QQQ5 
 
 7003 
 
 7341 
 
 7679 
 
 8017 
 
 8355 
 
 8693 
 
 1 34 
 
 34 
 
 85 
 
 9031 
 
 9369 
 
 9707 
 
 0045 
 
 0383 
 
 0721 
 
 1059 
 
 1396 
 
 1734 
 
 2072 
 
 2 Q7 
 
 67 
 
 86 
 
 1092410 
 
 2747 
 
 3035 
 
 3423 
 
 3760 
 
 4098 
 
 4435 
 
 4773 
 
 5111 
 
 5448 
 
 3 101 
 
 101 
 
 87 
 
 5785 
 
 6123 
 
 6460 
 
 6798 
 
 7135 
 
 7472 
 
 7810 
 
 8147 
 
 8484 
 
 8821 
 
 4 IS'i 
 
 5 168 
 
 6 202 
 
 134 
 168 
 201 
 
 88 
 
 9159 
 
 9496 
 
 9833 
 
 0170 
 
 0507 
 
 0844 
 
 1181 
 
 1518 
 
 1855 
 
 2192 
 
 89 
 
 1102529 
 
 2866 
 
 3203 
 
 3540 
 
 3877 
 
 4213 
 
 4550 
 
 4887 
 
 5224 
 
 5560 
 
 7 235 
 
 235 
 
 1290 
 
 5897 
 
 6234 
 
 6570 
 
 6907 
 
 7244 
 
 .7^80 
 '0944 
 
 7917 
 
 8253 
 
 8590 
 
 8926 
 
 8 26S 
 
 9 302 
 
 268 
 302 
 
 91 
 
 9262 
 
 9599 
 
 9935 
 
 0272 
 
 0608 
 
 1280 
 
 1617 
 
 1953 
 
 2289 
 
 
 
 O'lAt'inn 
 
 92 
 
 1112625 
 
 2961 
 
 3297 
 
 3633 
 
 6993 
 
 3969 
 7329 
 
 4306 
 7664 
 
 4642 
 
 4977 
 8336 
 
 5313 
 8671 
 
 5649 
 9007 
 
 66h 
 
 ooa 
 
 93 
 
 5985 
 
 6321 
 
 6657 
 
 8000 
 
 l"33 
 
 2 67 
 
 33 
 
 67 
 
 100 
 
 94 
 
 9343 
 
 9678 
 
 0014 
 
 O350 
 
 0685 
 
 1021 
 
 1356 
 
 1691 
 
 2027 
 
 2362 
 
 SilOC 
 
 95 
 
 1122698 
 
 3033 
 
 3368 
 
 3704 
 
 4039 
 
 4374 
 
 4709 
 
 5045 
 
 5380 
 
 5715 
 
 4|134 
 
 133 
 
 dQ 
 
 6050 
 
 6385 
 
 6720 
 
 7055 
 
 7390 
 
 7725 
 
 8060 
 
 8395 
 
 8730 
 
 9065 
 
 5!16/ 
 6^20( 
 
 167 
 
 ) 200 
 
 97 
 
 9400 
 
 9735 
 
 0069 
 
 0404 
 
 ^0739 
 
 1074 
 
 1408 
 
 1743 
 
 2078 
 
 2412 
 
 7J23^ 
 
 1233 
 
 98 
 
 1132747 
 
 3081 
 
 3416 
 
 3751 
 
 4085 
 
 4420 
 
 4754 
 
 5088 
 
 5423 
 
 5757 
 
 826; 
 
 ^266 
 
 99 
 
 6092 
 
 6426 
 
 6760 
 2 
 
 7094 
 
 . 7429 
 
 4 
 
 7763 
 
 8097 
 
 6 
 
 8431 
 
 7 
 
 8765 
 
 8 
 
 9099 
 
 9 
 
 930 
 
 1300 
 
 N. 
 
 
 
 i 
 
 3 
 
 5 
 
 Differ. 
 
 2(J2 
 
(12) LOGARITHMS N. 13000 L. 113j 
 
 N. 
 
 1300 
 
 
 
 1 
 
 9768 
 
 0102 
 
 3 
 
 0436 
 
 4 
 
 0770 
 
 5 
 
 1104 
 
 6" 
 
 1437 
 
 7 
 
 1771 
 
 8 
 
 2105 
 
 9 
 
 2439 
 
 DifFer. 
 
 1139434 
 
 334 
 
 33^ 
 
 01 
 
 1142773 
 
 3107 
 
 3441 
 
 3774 
 
 4108 
 
 4442 
 
 4775 
 
 5109 
 
 5443 
 
 5776 
 
 1 33 
 
 33 
 
 02 
 
 6110 
 
 6443 
 
 6777 
 
 7110 
 
 7444 
 
 7777 
 
 8111 
 
 8444 
 
 8777 
 
 9111 
 
 2 67 
 
 67 
 
 03 
 
 9444 
 
 9777 
 
 Sill 
 
 0444 
 
 0777 
 
 1110 
 
 1 444 
 
 1777 
 
 2110 
 
 2443 
 
 3 1O0 
 
 100 
 
 04. 
 
 1152776 
 
 3109 
 
 3442 
 
 3775 
 
 4108 
 
 4441 
 
 4774 
 
 5107 
 
 5439 
 
 5772 
 
 4 134 
 
 5 167 
 
 6 200 
 
 133 
 167 
 200 
 
 0.5 
 
 6105 
 
 6438 
 
 6771 
 
 7103 
 
 7436 
 
 7769 
 
 8101 
 
 8434 
 
 8767 
 
 9099 
 
 Oti 
 
 9432 
 
 9764; 0097 
 
 0429 
 
 0762 
 
 1094 
 
 1427 
 
 1759 
 
 2091 
 
 2424 
 
 7 2.34 
 
 233 
 
 07 
 
 1162756 
 
 3088 
 
 3420 
 
 3753 
 
 4085 
 
 4417 
 
 4749 
 
 5081 
 
 5413 
 
 5745 
 
 8 267 
 
 266 
 
 08 
 09 
 
 6077 
 9396 
 
 6409 
 9728 
 
 6741 
 0060 
 
 7073 
 0392 
 
 7405 
 0723 
 
 7737 
 1055 
 
 8069 
 1387 
 
 8401 
 1718 
 
 8733 
 2050 
 
 9065 
 23S1 
 
 91301 
 
 300 
 
 332 
 
 ^31, 
 
 1310 
 
 1172713 
 
 3044 
 
 3376 
 
 3707 
 
 4039 
 
 4370 
 
 4702 
 
 5033 
 
 5364 
 
 56^6 
 
 1 33 
 
 2 66 
 
 33 
 66 
 
 11 
 
 6027 
 
 6358 
 
 6689 
 
 7021 
 
 7352 
 
 7683 
 
 8014 
 
 8345 
 
 8676 
 
 9007 1 
 
 3 100 
 
 99 
 
 12 
 
 9338 
 
 9669 
 
 0000 
 
 0331 
 
 0662 
 
 0993 
 
 1324 
 
 1655 
 
 1986 
 
 2316 
 
 4 133 
 
 132 
 
 13 
 
 1182647 
 
 2978 
 
 3309 
 
 3639 
 
 3970 
 
 4.301 
 
 4631 
 
 4962 
 
 5293 
 
 5623 
 
 5 166 
 
 166 
 
 14 
 
 5954 
 
 6284 
 
 6615 
 
 6945 
 
 7276 
 
 7606 
 
 7936 
 
 8267 
 
 8597 
 
 8927 
 
 6 199 
 
 7 232 
 
 199 
 
 232 
 
 1.5 
 
 9258 
 
 9588 
 
 9918 
 
 0248 
 
 0578 
 
 0909 
 
 1239 
 
 1569 
 
 1899 
 
 2229 
 
 8 266 
 
 265 
 
 16 
 17 
 
 18 
 
 1192559 
 5858 
 9154 
 
 2889 
 6187 
 9484 
 
 3219 
 6517 
 9813 
 
 3549 
 6847 
 0143 
 
 3S79 
 7177 
 0472 
 
 4209 
 7506 
 0801 
 
 4539 
 7836 
 1131 
 
 4868 
 8165 
 1460 
 
 5198 
 
 8495 
 17S9 
 
 5528 
 8825 
 2119 
 
 9 299 
 
 298 
 
 330 
 
 329 
 
 1 3'3 
 
 33 
 
 19 
 
 1202448 
 
 2777 
 
 3106 
 
 3436 
 
 3765 
 
 4094 
 
 4423 
 
 4752 
 
 5081 
 
 5410 
 
 2 66 
 S 99 
 4 132 
 
 66 
 
 1320 
 
 5739 
 
 6068 
 
 6397 
 
 6726 
 
 7055 
 
 7384 
 
 7713 
 
 8042 
 
 837 1 
 
 8699 
 
 99 
 132 
 
 21 
 
 9028 
 
 9357 
 
 9686 
 
 0014 
 
 0343 
 
 0672 
 
 1000 
 
 1329 
 
 1657 
 
 1986 
 
 b 165; 165 
 
 22 
 
 1212315 
 
 2643 
 
 2972 
 
 3300 
 
 3628 
 
 3957 
 
 4285 
 
 4614 
 
 4942 
 
 5270 
 
 6 198 197 
 
 23 
 
 5598 
 
 5927 
 
 6255 
 
 6583 
 
 6911 
 
 7239 
 
 7568 
 
 7896 
 
 8224 
 
 8552 
 
 7 231 230 
 
 8 264.263 
 
 9 297:296 
 
 24 
 
 8880 
 
 9208 
 
 9536 
 
 9864 
 
 0192 
 
 0520 
 
 0848 
 
 1175 
 
 1503 
 
 1831 
 
 25 
 26 
 
 1222159 
 5435 
 
 2487 
 5763 
 
 2814 
 6090 
 
 3142 
 6418 
 
 3470 
 6745 
 
 3797 
 7073 
 
 4125 
 7400 
 
 4453 
 
 7727 
 
 4780 
 8055 
 
 5108 
 8382 
 
 328 
 
 327 
 
 1 33 
 
 33 
 
 27 
 
 8709 
 
 9036 
 
 9364 
 
 9691 
 
 0018 
 
 0345 
 
 0672 
 
 1000 
 
 1327 
 
 1654 
 
 2 66 
 
 65 
 
 28 
 
 1231981 
 
 2308 
 
 2635 
 
 2962 
 
 3289 
 
 3616 
 
 3942 
 
 4269 
 
 4596 
 
 4923 
 
 3 98 
 
 98 
 
 29 
 
 5250 
 
 5577 
 
 5903 
 
 6230 
 
 6557 
 
 6883 
 
 7210 
 
 7537 
 
 7863 
 
 8190 
 
 4 131 
 
 b 164 
 
 131 
 164 
 
 1330 
 
 8516 
 
 8843 
 
 9169 
 
 9496 
 
 9822 
 
 0149 
 
 0475 
 
 0802 
 
 1128 
 
 1454 
 
 S197 
 
 196 
 
 31 
 
 1241781 
 
 2107 
 
 2433 
 
 2759 
 
 3086 
 
 3412 
 
 3738 
 
 4064 
 
 4390 
 
 4716 
 
 7 230 
 
 22^ 
 
 32 
 
 5042 
 
 5368 
 
 5694 
 
 6020 
 
 6346 
 
 6672 
 
 6998 
 
 7324 
 
 7650 
 
 7976 
 
 3 262 
 9|295 
 
 262 
 294 
 
 33 
 34 
 
 8301 
 1251558 
 
 8627 
 
 8953 
 2209 
 
 9279 
 2535 
 
 9605 
 2860 
 
 »930 
 3186 
 
 0256 
 3511 
 
 0582 
 3837 
 
 0907 
 4162 
 
 1233 
 4487 ■ 
 
 1884 
 
 326 
 
 1 33 
 
 2 65 
 
 325 
 
 33 
 65 
 
 35 
 
 4813 
 
 5138 
 
 5463 
 
 5788 
 
 6114 
 
 6439 
 
 6764 
 
 7089 
 
 7414 
 
 7739 
 
 36 
 
 8065 
 
 8390 
 
 8715 
 
 9040 
 
 9365 
 
 9690 
 
 0015 
 
 0339 
 
 0664 
 
 0989 
 
 i 98 
 
 98 j 
 
 37 
 
 1261314 
 
 1639 
 
 1964 
 
 2288 
 
 2613 
 
 2938 
 
 3263 
 
 3587 
 
 3912 
 
 4237 
 
 i 130 
 
 i??i 
 
 38 
 
 4561 
 
 4886 
 
 5210 
 
 5535 
 
 5859 
 
 6184 
 
 6508 
 
 683:^ 
 
 7157 
 
 7481 
 
 5 163 
 3 196 
 7 228 
 
 IfcSj 
 195 
 228 
 
 39 
 
 7806 
 
 8130 
 
 8454 
 
 8779 
 
 9103 
 
 9427 
 
 9751 
 
 0076 
 
 0400 
 
 0724 
 
 1340 
 
 1271048 
 
 1372 
 
 1696 
 
 2020 
 
 2344 
 
 2668 
 
 2992 
 
 3316 
 
 3640 
 
 3964 
 
 3 261 260 i 
 
 41 
 
 4288 
 
 4612 
 
 4935 
 
 5259 
 
 5583 
 
 5907 
 
 ()230 
 
 6554 
 
 6878 
 
 7202 
 
 } 293I293 
 
 42 
 
 7525 
 
 7849 
 
 8172 
 
 8496 
 
 8819 
 
 9143 
 
 9466 
 
 9790 
 
 0113 
 
 0437 - 
 
 "j324 
 
 323 
 
 43 
 
 1280760 
 
 1083 
 
 1407 
 
 17J0 
 
 2053 
 
 2377 
 
 2700 
 
 3023 
 
 3346 
 
 3670 1 
 
 I 3'J 
 
 32 
 
 44 
 
 3993 
 
 4316 
 
 4639 
 
 4962 
 
 5285 
 
 5608 
 
 5931 
 
 6254 
 
 6577 
 
 6900 [ 
 
 2 65 
 J 97 
 
 65 
 97 
 
 45 
 
 7223 
 
 7546 
 
 7869 
 
 81)1 
 
 8514 
 
 8837 
 
 9160 
 
 9483 
 
 9805 
 
 0128 
 
 J 130 
 
 129 
 
 46 
 
 1290451 
 
 0773 
 
 1096 
 
 1418 
 
 1741 
 
 2064 
 
 2386 
 
 2709 
 
 3031 
 
 3354 
 
 b\62 
 
 162 
 
 47 
 
 3676 
 
 3998 
 
 4321 
 
 4643 
 
 4965 
 
 5288 
 
 5610 
 
 5932 
 
 6255 
 
 6577 
 
 S 194 
 7 227 
 3 259 
 
 194 
 226 
 258 
 
 48 
 
 6899 
 
 7221 
 
 7543 
 
 7865 
 
 8187 
 
 8510 
 
 8832 
 
 9154 
 
 9476 
 
 9798 
 
 49 
 
 1300119 
 
 0441 
 1 
 
 0763 
 2 
 
 1085 
 
 3 
 
 1407 
 
 4 
 
 1729 
 5 
 
 2051 
 
 6' 
 
 2372 
 
 7 
 
 2694 
 8 
 
 3016 
 
 9 
 
 9 292 
 
 291 
 
 *n7 
 
 
 
 Differ. 
 
N.IJ5()0L. 130 OF NUMBERS. (13)| 
 
 N. 
 
 1350 
 
 
 
 1 
 
 3659 
 
 9, 
 3981 
 
 3 
 
 4303 
 
 4 
 
 4624 
 
 5 
 
 4946 
 
 6 
 
 5267 
 
 7 
 
 5589 
 
 8 
 5911 
 
 9 
 
 Differ. 
 
 1303338 
 
 6232 
 
 322'^'''i 
 
 51 
 
 6553 
 
 6875 
 
 7196 
 
 7518 
 
 7839 
 
 8161 
 
 8482 
 
 8803 
 
 9124 
 
 9446 
 
 1~32 
 2 64 
 
 . 
 
 52 
 
 9767 
 
 0088 
 
 0409 
 
 0730 
 
 1052 
 
 1573 
 
 1694 
 
 2015 
 
 2336 
 
 2657 
 
 32 
 64 
 
 53 
 
 1312b)78 
 
 3299 
 
 3620 
 
 3941 
 
 4262 
 
 4583 
 
 4903 
 
 5224 
 
 5545 
 
 5866 
 
 3 97 
 
 96 
 
 54 
 
 6187 
 
 6507 
 
 6828 
 
 7149 
 
 7469 
 
 7790 
 
 8111 
 
 8431 
 
 8752 
 
 9072 
 
 4 129|l28| 
 
 55 
 
 9393 
 
 9713 
 
 D034 
 
 0354 
 
 0675 
 
 0995 
 
 1316 
 
 1636 
 
 1956 
 
 2277 
 
 5 161 
 
 6 193 
 
 161 
 193 
 
 56 
 
 1322597 
 
 2917 
 
 3237 
 
 3558 
 
 3878 
 
 4198 
 
 4518 
 
 4838 
 
 5158 
 
 5478 
 
 7 225 
 
 •225 
 
 57 
 
 5798 
 
 6U9 
 
 6439 
 
 6758 
 
 7078 
 
 7398 
 
 7718 
 
 8038 
 
 8358 
 
 8678 
 
 8 258 
 
 257 
 
 58 
 59 
 
 8998 
 1332195 
 
 9317 
 2514 
 
 9637 
 
 2834 
 
 9957 
 3153 
 
 (5277 
 3473 
 
 0596 
 3792 
 
 0916 
 4112 
 
 1236 
 4431 
 
 1555 
 4750 
 
 1875 
 5070 
 
 9 290 
 
 289 
 
 320 
 
 319 
 
 1360 
 
 5389 
 
 5708 
 
 6028 
 
 6347 
 
 6666 
 
 6985 
 
 7305 
 
 7624 
 
 7943 
 
 8262 
 
 1 32 
 
 2 64 
 
 3 96 
 
 32 
 64 
 96 
 
 61 
 
 8581 
 
 8900 
 
 9219 
 
 9538 
 
 9857 
 
 0176 
 
 0495 
 
 0814 
 
 1133 
 
 1452 
 
 62 
 
 1341771 
 
 2090 
 
 2409 
 
 2728 
 
 3046 
 
 3365 
 
 3684 
 
 4003 
 
 4321 
 
 4640 
 
 4 128 
 
 128 
 
 63 
 
 4959 
 
 5277 
 
 5596 
 
 5914 
 
 6233 
 
 6551 
 
 6870 
 
 7188 
 
 7507 
 
 7825 
 
 5 160 
 
 160 
 
 64 
 
 8144 
 
 8462 
 
 8780 
 
 9099 
 
 9417 
 
 9735 
 
 0054 
 
 0372 
 
 0690 
 
 1008 
 
 6 192 
 
 7 224 
 
 8 256 
 
 191 
 
 223 
 255 
 
 65 
 
 1351327 
 
 1645 
 
 1963 
 
 2281 
 
 2599 
 
 2917 
 
 3235 
 
 3553 
 
 3871 
 
 4189 
 
 66 
 67 
 
 4507 
 7685 
 
 4825 
 8003 
 
 5143 
 8320 
 
 5461 
 8638 
 
 5779 
 8956 
 
 6096 
 9273 
 
 6414 
 9591 
 
 6732 
 9908 
 
 7050 
 0226 
 
 7367 
 0543 
 
 9 288 
 
 287 
 
 _3I8 
 
 317 
 
 68 
 
 1360361 
 
 1178 
 
 1496 
 
 1813 
 
 2131 
 
 2448 
 
 2765 
 
 3083 
 
 3400 
 
 3717 
 
 I 32 
 
 32 
 
 69 
 
 4034 
 
 4352 
 
 4669 
 
 4986 
 
 5303 
 
 5620 
 
 5937 
 
 6255 
 
 6572 
 
 6889 
 
 2 64 
 
 63 
 
 1370 
 
 7206 
 
 7523 
 
 7840 
 
 8157 
 
 8473 
 
 8790 
 
 9107 
 
 9424 
 
 9741 
 
 0058 
 
 3 95 
 
 4 127 
 
 95 
 
 127 
 
 71 
 
 1370375 
 
 0691 
 
 1008 
 
 1325 
 
 1641 
 
 1958 
 
 2275 
 
 2591 
 
 2908 
 
 3225 
 
 5 159 
 
 159 
 
 72 
 
 3541 
 
 3858 
 
 4174 
 
 4491 
 
 4807 
 
 5124 
 
 5440 
 
 57 5 C 
 
 6073 
 
 6389 
 
 6 191 
 
 190 
 
 73 
 
 6705 
 
 7022 
 
 7338 
 
 7654 
 
 7970 
 
 8287 
 
 8603 
 
 8919 
 
 9235 
 
 9551 
 
 7 223 
 
 222 
 
 74 
 
 9867 
 
 0183 
 
 0499 
 
 0815 
 
 1131 
 
 1447 
 
 1763 
 
 2079 
 
 2395 
 
 2711 
 
 8 254 
 
 9 286 
 
 254 
 285 
 
 75 
 
 1333027 
 
 3343 
 
 3659 
 
 3974 
 
 4290 
 
 4606 
 
 4922 
 
 5237 
 
 5553 
 
 5869 
 
 316 
 
 315 
 
 76 
 
 6184 
 
 6500 
 
 6816 
 
 7131 
 
 7447 
 
 7762 
 
 8078 
 
 8393 
 
 8709 
 
 9024 
 
 1 32 
 
 ~32 
 
 77 
 
 9339 
 
 9655 
 
 9970 
 
 0285 
 
 0601 
 
 0916 
 
 1231 
 
 1547 
 
 1862 
 
 2177 
 
 2 63 
 
 63 
 
 78 
 
 1392492 
 
 2807 
 
 3122 
 
 3438 
 
 3753 
 
 4068 
 
 4383 
 
 4698 
 
 5013 
 
 5328 
 
 3 95 
 
 95 
 
 79 
 
 5643 
 
 5958 
 
 6272 
 
 6587 
 
 6902 
 
 7217 
 
 7532 
 
 7847 
 
 8161 
 
 8476 
 
 4 126 
 
 5 158 
 
 6 190 
 
 126 
 158 
 189 
 
 1380 
 
 8791 
 
 9106 
 
 9420 
 
 9735 
 
 0050 
 
 0364 
 
 0679 
 
 0993 
 
 1308 
 
 1622 
 
 81 
 
 1401937 
 
 2251 
 
 2566 
 
 2880 
 
 3195 
 
 3509 
 
 3823 
 
 4138 
 
 4452 
 
 4766 
 
 7 221 
 
 221 
 
 82 
 
 5080 
 
 5395 
 
 5709 
 
 6023, 
 
 6337 
 
 6651 
 
 6966 
 
 7280 
 
 7594 
 
 7908 
 
 8 253 
 
 252 
 
 83 
 
 8222 
 
 853d 
 
 8850 
 
 9164 
 
 9478 
 
 9792 
 
 0lO6 
 
 0419 
 
 0733 
 
 1047 
 
 9 284 
 
 284 
 
 84 
 
 1411361 
 
 1675 
 
 1988 
 
 2302 
 
 2616 
 
 2930 
 
 3243 
 
 3557 
 
 3871 
 
 4184 
 
 314 
 
 313 \ 
 
 85 
 
 4498 
 
 4811 
 
 5125 
 
 5438 
 
 5752 
 
 6065 
 
 6379 
 
 6692 
 
 7006 
 
 7319 
 
 1 31 
 
 2 63 
 
 Tl * 
 63 
 
 86 
 
 7632 
 
 7946 
 
 8259 
 
 8572 
 
 8885 
 
 9199 
 
 9512 
 
 9825 
 
 0138 
 
 0451 
 
 3 94 
 
 94 
 
 87 
 
 1420765 
 
 1078 
 
 1391 
 
 1704 
 
 2017 
 
 2330 
 
 2643 
 
 2956 
 
 3269 
 
 3582 
 
 4 126 
 
 125 
 
 88 
 
 3895 
 
 4208 
 
 4520 
 
 4833 
 
 5146 
 
 5459 
 
 5772 
 
 6084 
 
 6397 
 
 6710 
 
 5 157 
 
 157 
 
 89 
 
 7022 
 
 7335 
 
 7648 
 
 7960 
 
 8273 
 
 8586 
 
 8898 
 
 9211 
 
 9523 
 
 9836 
 
 6 183 
 
 7 220 
 
 188 
 219 
 
 1390 
 
 1430148 
 
 0460 
 
 0773 
 
 1085 
 
 1398 
 
 1710 
 
 2022 
 
 2335 
 
 2647 
 
 2959 
 
 8 251 
 
 250 
 
 91 
 92 
 
 3271 
 6392 
 
 3584 
 6704 
 
 3896 
 7016 
 
 4208. 
 
 7328 
 
 4520 
 7640 
 
 4832 
 7952 
 
 5144 
 8264 
 
 5456 
 8576 
 
 5768 
 
 8888 
 
 6080 
 9199 
 
 9 283 
 
 282 . 
 
 3H 
 
 311 
 
 93 
 
 9511 
 
 9823 
 
 0135 
 
 0446 
 
 0758 
 
 1070 
 
 1381 
 
 1693 
 
 2005 
 
 2316 
 
 1 31 
 
 31 
 
 94 
 
 1442628 
 
 2939 
 
 3251 
 
 3562 
 
 3874 
 
 4185 
 
 4497 
 
 4808 
 
 5119 
 
 5451 
 
 2 62 
 
 3 94 
 1125 
 
 62 
 
 93 
 
 124 
 
 95 
 
 5742 
 
 6053 
 
 6365 
 
 6676 
 
 6987 
 
 7298 
 
 7610 
 
 7921 
 
 8232 
 
 8543 . 
 
 96 
 
 8854 
 
 9163 
 
 9476 
 
 9787 
 
 ^O'JS 
 
 0409 
 
 0720 
 
 1051 
 
 1342 
 
 1653 
 
 3 156 
 
 156 
 
 97 
 
 1451964 
 
 2275 
 
 2586 
 
 2897 
 
 3207 
 
 3518 
 
 3829 
 
 4140 
 
 4450 
 
 4761 1 
 
 5187 
 
 187 
 
 98 
 
 5072 
 
 5382 
 
 5693 
 
 6004 
 
 6314 
 
 6625 
 
 6935 
 
 7246 
 
 7556 
 
 7867 . 
 
 f 218 
 J 250 
 )281 
 
 218 
 249 
 280 
 
 99 
 
 8177 
 
 8488 
 
 8798 
 
 2 i 
 
 9108 
 
 3 
 
 9419 
 
 4 
 
 9729 
 
 5 
 
 0039 
 
 6 
 
 0350 
 7 
 
 0660 
 8 
 
 0970 ( 
 
 9 
 
 1 1 
 
 Diffe 
 
 r. 
 
 \y 
 
(14) LOGARITHMS N 14000 L. \46\ 
 
 N. 
 
 1400 
 
 
 
 1 
 
 Q, 
 
 3 
 
 4 
 
 2521 
 
 5 
 
 6 
 
 3141 
 
 7 
 
 8 
 3761 
 
 9 
 
 4071 
 
 Differ. 
 
 1461280 
 
 1591 
 
 1901 
 
 2211 
 
 2831 
 
 3451 
 
 nosoQ 
 
 01 
 
 4381 
 
 4691 
 
 5001 
 
 5311 
 
 5621 
 
 5931 
 
 6241 
 
 6551 
 
 6861 
 
 7170 
 
 1 31 
 
 31 
 
 02 
 
 7480 
 
 7790 
 
 8100 
 
 8409 
 
 8719 
 
 9029 
 
 9338 
 
 9648 
 
 9958 
 
 0267 
 
 2 62 
 
 62 
 
 03 
 
 1470577 
 
 0886 
 
 1196 
 
 1505 
 
 1815 
 
 2124 
 
 2434 
 
 2743 
 
 3052 
 
 3362 
 
 3 93 
 
 93 
 
 04 
 
 3671 
 
 3980 
 
 4290 
 
 4599 
 
 4908 
 
 5217 
 
 5527 
 
 5836 
 
 6145 
 
 6454 
 
 4 124 
 
 5 155 
 
 124 
 155 
 
 05 
 
 6763 
 
 7072 
 
 7381 
 
 7690 
 
 7999 
 
 8308 
 
 8617 
 
 8926 
 
 9235 
 
 9544 
 
 G186 
 
 185 
 
 06 
 
 9853 
 
 0162 
 
 0471 
 
 0780 
 
 1089 
 
 1397 
 
 1706 
 
 2015 
 
 2324 
 
 2632 
 
 7 217 
 
 216 
 
 07 
 
 1482941 
 
 3250 
 
 3558 
 
 3867 
 
 4175 
 
 4484 
 
 4793 
 
 5101 
 
 5410 
 
 5718 
 
 8 248 
 
 247 
 
 08 
 09 
 
 6027 
 9110 
 
 6335 
 9418 
 
 6643 
 9726 
 
 6952 
 0035 
 
 7260 
 0343 
 
 7569 
 0651 
 
 7877 
 0959 
 
 8185 
 1267 
 
 8493 
 1575 
 
 8802 
 1883 
 
 9 279 
 
 278 
 
 308 
 
 307 
 
 1410 
 
 1492191 
 
 2499 
 
 2807 
 
 3115 
 
 3423 
 
 3731 
 
 4039 
 
 4347 
 
 4655 
 
 4962 
 
 1 31 
 
 2 62 
 
 6i 
 
 11 
 
 5270 
 
 5578 
 
 5886 
 
 6193 
 
 6501 
 
 6809 
 
 7116 
 
 7424 
 
 7732 
 
 8039 
 
 3 92 
 
 92 
 
 12 
 
 8347 
 
 8655 
 
 8962 
 
 9270 
 
 9577 
 
 9885 
 
 0192 
 
 0499 
 
 0807 
 
 1114 
 
 4 123 
 
 123 
 
 13 
 
 1501422 
 
 1729 
 
 2036 
 
 2344 
 
 2651 
 
 2958 
 
 3265 
 
 3573 
 
 3880 
 
 4187 
 
 5 154 
 
 154 
 
 14 
 
 4494 
 
 4801 
 
 5108 
 
 5415 
 
 5722 
 
 6030 
 
 6337 
 
 6644 
 
 6951 
 
 7257 
 
 6 185 
 
 7 2.1 6 
 
 184 
 215 
 
 15 
 
 7564 
 
 7871 
 
 8178 
 
 8485 
 
 8792 
 
 9099 
 
 9406 
 
 9712 
 
 0019 
 
 0326 
 
 8 246 
 
 246 
 
 16 
 17 
 
 1510633 
 3699 
 
 0939 
 4005 
 
 1246 
 4311 
 
 1553 
 
 4618 
 
 1859 
 4924 
 
 2166 
 5231 
 
 2472 
 
 5537 
 
 2779 
 5843 
 
 3085 
 6150 
 
 3392 
 6456 
 
 9 277 
 
 276 
 
 306 
 
 3_05 
 
 18 
 
 6762 
 
 70fi9 
 
 7375 
 
 7681 
 
 7987 
 
 8293 
 
 8600 
 
 8906 
 
 9212 
 
 9518 
 
 I 31 
 
 31 
 
 19 
 
 9824 
 
 0130 
 
 0436 
 
 0742 
 
 1048 
 
 1354 
 
 1660 
 
 1966 
 
 2272 
 
 2578 
 
 2 61 
 
 3 92 
 
 4 122 
 
 61 
 92 
 122 
 
 1420 
 
 1522883 
 
 3189 
 
 3495 
 
 380,1 
 
 4107 
 
 4412 
 
 4718 
 
 5024 
 
 5S29 
 
 5635 
 
 21 
 
 5941 
 
 6246 
 
 6552 
 
 6858 
 
 7163 
 
 7469 
 
 7774 
 
 8080 
 
 8385 
 
 8691 
 
 5 153 
 
 153 
 
 22 
 
 8996 
 
 030 tc W 
 
 9912 
 
 0217 
 
 0523 
 
 0828 
 
 1133 
 
 1439 
 
 1744 
 
 6 184|183 
 
 23 
 
 1532049 
 
 2354 
 
 „J59 
 
 2964 
 
 3270 
 
 3575 
 
 3880 
 
 4185 
 
 4490 
 
 4795 
 
 7 2141214 
 
 8 245]244 
 9!275|275 
 
 24 
 25 
 
 5100 
 8149 
 
 5405 
 8453 
 
 5710 
 
 8758 
 
 6015 
 9063 
 
 6320 
 9368 
 
 6625 
 9672 
 
 6929 
 9977 
 
 7234 
 U281 
 
 7539 
 0586 
 
 7844 
 0891 
 
 304 
 
 303 
 
 26 
 
 1541195 
 
 1500 
 
 1804 
 
 2109 
 
 2'413 
 
 2718 
 
 3022 
 
 3327 
 
 3631 
 
 3935 
 
 1 30 
 
 30 
 
 27 
 
 4240 
 
 4544 
 
 4848 
 
 5153 
 
 5457 
 
 5761 
 
 6065 
 
 6370 
 
 6674 
 
 6978 
 
 2 61 
 
 61 
 
 28 
 
 7282 
 
 7586 
 
 7890 
 
 8194 
 
 8498 
 
 8802 
 
 9106 
 
 9410 
 
 9714 
 
 0018 
 
 3 91 
 
 91 
 
 29 
 
 1550322 
 
 0626 
 
 0930 
 
 1234 
 
 1538 
 
 1842 
 
 2145 
 
 2449 
 
 2753 
 
 3057 
 
 4 122 
 
 5 152 
 
 121 
 152 
 
 1430 
 
 3360 
 
 3664 
 
 3968 
 
 4271 
 
 4575 
 
 4879 
 
 5182 
 
 5486 
 
 5789 
 
 6093 
 
 6 182 
 
 182 
 
 . 31 
 
 6396 
 
 6700 
 
 7003 
 
 7307 
 
 7610 
 
 7914 
 
 8217 
 
 8520 
 
 8824 
 
 9127 
 
 7 213 
 
 212 
 
 32 
 
 9430 
 
 9733 
 
 0037 
 
 0340 
 
 0643 
 
 0946 
 
 1249 
 
 1553 
 
 1856 
 
 2159 
 
 8 243 
 
 n .jT/1 
 
 242 
 
 33 
 34 
 
 1562462 
 
 5492 
 
 2765 
 
 3068 
 6097 
 
 3371 
 6400 
 
 3674 
 6703 
 
 3977 
 7006 
 
 4280 
 7308 
 
 4583 
 7611 
 
 4886 
 7914 
 
 5189 
 8216 
 
 9 llV^-l o 1 
 
 5794 
 
 302 
 
 1 30 
 
 2 60 
 
 301 
 30 
 60 
 
 35 
 
 8519 
 
 8822 
 
 9124 
 
 9427 
 
 9729 
 
 0032 
 
 0334 
 
 0637 
 
 0939 
 
 1242 
 
 36 
 
 1571544 
 
 1847 
 
 2149 
 
 24>2 
 
 2754 
 
 3056 
 
 3359 
 
 3661 
 
 3963 
 
 4265 
 
 3 91 
 
 90 
 
 37 
 
 4568 
 
 4870 
 
 5172 
 
 5474 
 
 5776 
 
 6079 
 
 6381 
 
 6683 
 
 6985 
 
 7287 
 
 4 121 
 
 120 
 
 38 
 
 7589 
 
 7891 
 
 8193 
 
 8495 
 
 ^797 
 
 9099 
 
 9401 
 
 9702 
 
 0004 
 
 0306 
 
 5 151 
 
 6 181 
 
 7 211 
 
 151 
 181 
 211 
 
 39 
 
 1580608 
 
 0910 
 
 1212 
 
 1513 
 
 1815 
 
 2117 
 
 2418 
 
 2720 
 
 3022 
 
 3323 
 
 1440 
 
 3625 
 
 3927 
 
 4228 
 
 4530 
 
 4831 
 
 5133 
 
 5434 
 
 5736 
 
 6037 
 
 6338 
 
 8 242 
 
 241 
 
 41 
 42 
 
 6640 
 9653 
 
 6941 
 9954 
 
 7243 
 0255 
 
 7544 
 0556 
 
 7845 
 0857 
 
 8146 
 1158 
 
 8448 
 1459 
 
 8749 
 1760 
 
 9050 
 2061 
 
 9351 
 2362 
 
 9 272 
 
 271 
 
 300 
 
 299 
 
 43 
 
 1592663 
 
 2964 
 
 3265 
 
 3566 
 
 3867 
 
 4168 
 
 4469 
 
 4770 
 
 5070 
 
 5371 
 
 \ 30 
 
 30 
 
 44 
 
 5672 
 
 5973 
 
 6273 
 
 6574 
 
 6875 
 
 7175 
 
 7476 
 
 7777 
 
 8077 
 
 8378 
 
 2 60 
 
 3 90 
 
 4 120 
 
 60 
 QO 
 
 45 
 
 8678 
 
 8979 
 
 9280 
 
 9580 
 
 9881 
 
 0181 
 
 0481 
 
 0782 
 
 1082 
 
 1383 
 
 120 
 
 46 
 
 1601683 
 
 1983 
 
 2284 
 
 2584 
 
 2884 
 
 3184 
 
 3485 
 
 3785 
 
 4085 
 
 4385 
 
 5 150 
 
 150 
 
 47 
 
 4685 
 
 4985 
 
 5286 
 
 5586 
 
 5886 
 
 6186 
 
 6486 
 
 6786 
 
 7086 
 
 7386 
 
 6 180 
 
 179 
 
 48 
 
 7686 
 
 7986 
 
 8285 
 
 8585 
 
 8885 
 
 9185 
 
 9485 
 
 9785 
 
 0084 
 
 0384 
 
 7 21C 
 
 8 24C 
 
 209 
 
 239 
 
 49 
 
 1610684 
 
 0984 
 
 1283 
 
 1583 
 
 3 
 
 1883 
 
 4 
 
 2182 
 
 2482 
 
 6 
 
 2781 
 ~7~ 
 
 3081 
 8~ 
 
 3380 
 
 9 27C 
 
 269 
 
 N. 
 
 
 
 1 
 
 2 
 
 5 
 
 9 
 
 Differ. 
 
N. 14500 L.161 OF NUMBERS. (15) 
 
 1450 
 
 
 
 1 
 
 3980 
 
 2 
 
 4279 
 
 _3 
 
 4578 
 
 4 
 
 4878 
 
 5 
 
 5177 
 
 6 
 
 5477 
 
 7 
 
 5776 
 
 8 
 
 ()075 
 
 9 
 
 6375 
 
 Differ. 
 
 1613680 
 
 298 
 
 297 
 
 51 
 
 6674 
 
 6973 
 
 7273 
 
 7572 
 
 7871 
 
 8170 
 
 8470 
 
 8769 
 
 9068 
 
 9367 
 
 1 30 
 
 30 
 
 52 
 
 9666 
 
 9965 
 
 0264 
 
 0503 
 
 0862 
 
 1161 
 
 1460 
 
 1759 
 
 2058 
 
 2357 
 
 ■J 60 
 
 59 
 
 53 
 
 1622656 
 
 2955 
 
 3254 
 
 355S 
 
 3852 
 
 4150 
 
 444Q 
 
 4748 
 
 5047 
 
 5345 
 
 3 89 
 
 89 
 
 54 
 
 5644 
 
 5943 
 
 6241 
 
 6540 
 
 6839 
 
 7137 
 
 7436 
 
 7734 
 
 8033 
 
 8331 
 
 4119 
 5 149 
 
 119 
 149 
 
 55 
 
 8630 
 
 8928 
 
 9227 
 
 9525 
 
 9824 
 
 0122 
 
 0420 
 
 0719 
 
 1017 
 
 1315 
 
 6 179 
 
 178 
 
 56 
 
 1631614 
 
 1912 
 
 2210 
 
 2508 
 
 2807 
 
 3105 
 
 3403 
 
 3701 
 
 3999 
 
 4297 
 
 7 209 
 
 208 
 
 51 
 
 4596 
 
 4394 
 
 5192 
 
 5490 
 
 5788 
 
 6086 
 
 6384 
 
 6682 
 
 6979 
 
 7277 
 
 8 238 
 
 9 268 
 
 238 
 
 267 
 
 58 
 
 7575 
 
 7873 
 
 8171 
 
 8469 
 
 8767 
 
 9064 
 
 9362 
 
 9660 
 
 9958 
 
 0255 
 
 59 
 
 1640553 
 
 0851 
 
 1148 
 
 1446 
 
 1743 
 
 2041 
 
 2339 
 
 2636 
 
 2934 
 
 3231 
 
 
 1460 
 
 3529 
 
 3826 
 
 4123 
 
 4421 
 
 4718 
 
 5016 
 
 5313 
 
 5610 
 
 5908 
 
 6205 
 
 Odd nnt- 
 
 61 
 
 6502 
 
 6799 
 
 ,7097 
 
 7394 
 
 7691 
 
 7988 
 
 8285 
 
 8582 
 
 8880 
 
 9177 
 
 zyo 
 
 ZifO 
 
 62 
 
 9474 
 
 9771 
 
 0068 
 
 0365 
 
 0662 
 
 0959 
 
 1256 
 
 1553 
 
 1850 
 
 2146 
 
 1 30 
 
 2 59 
 
 30 
 59 
 89 
 
 63 
 
 1652443 
 
 2740 
 
 3037 
 
 3334 
 
 3631 
 
 3927 
 
 4224 
 
 4521 
 
 4817 
 
 5114 
 
 3 89 
 
 64 
 
 5411 
 
 5707 
 
 6004 
 
 6301 
 
 6597 
 
 6894 
 
 7190 
 
 7487 
 
 7783 
 
 8080 
 
 4118 
 
 118 
 
 Q5 
 
 8376 
 
 8673 
 
 8969 
 
 9265 
 
 9562 
 
 9858 
 
 (5155 
 
 0451 
 
 0747 
 
 1043 
 
 5 148 
 
 fi 1 7R 
 
 148 
 177 
 207 
 
 QQ 
 
 1661340 
 
 1636 
 
 1932 
 
 2228 
 
 2525 
 
 2821 
 
 3117 
 
 3413 
 
 3709 
 
 4005 
 
 U| 1 / o 
 
 7*207 
 
 67 
 
 4301 
 
 4597 
 
 4893 
 
 5189 
 
 5485 
 
 5781 
 
 6077 
 
 6373 
 
 6669 
 
 6965 
 
 8:237 
 
 236 
 
 68 
 69 
 
 7261 
 1670218 
 
 7556 
 0514 
 
 7852 
 0809 
 
 8148 
 1105 
 
 8444 
 1400 
 
 8740 
 1696 
 
 9035 
 1991 
 
 9331 
 
 2287 
 
 9627 
 2582 
 
 9922 
 2878 
 
 9266 
 
 266 
 
 
 1470 
 
 3173 
 
 3469 
 
 3764 
 
 4060 
 
 4355 
 
 4650 
 
 4946 
 
 5241 
 
 5536 
 
 5831 
 
 
 71 
 
 6127 
 
 6422 
 
 6717 
 
 7012 
 
 7308 
 
 7603 
 
 7898 
 
 8193 
 
 8488 
 
 8783 
 
 294 
 
 293 
 
 72 
 
 9078 
 
 9373 
 
 9668 
 
 9963 
 
 0258 
 
 0553 
 
 0848 
 
 1143 
 
 1438 
 
 1733 
 
 T 29 
 
 29 
 
 73 
 
 1682027 
 
 2322 
 
 2617 
 
 2912 
 
 3207 
 
 3501 
 
 3796 
 
 4091 
 
 4386 
 
 4680 
 
 2 59 
 
 3 88 
 4118 
 
 59 
 
 74 
 
 4975 
 
 5269 
 
 5564 
 
 5859 
 
 6153 
 
 6448 
 
 6742 
 
 7037 
 
 7331 
 
 7626 
 
 88 
 117 
 
 75 
 
 ' 7920 
 
 8215 
 
 8509 
 
 8803 
 
 9098 
 
 9392 
 
 9686 
 
 9981 
 
 0275 
 
 0569 
 
 5 147 
 
 147 
 
 76 
 
 1690864 
 
 1158 
 
 1452 
 
 1746 
 
 2040 
 
 2335 
 
 2629 
 
 2923 
 
 3217 
 
 3511 
 
 6 176 
 
 7 206 
 
 8 235 
 
 176 
 
 77 
 
 3805 
 
 4099 
 
 4393 
 
 4687 
 
 4981 
 
 5275 
 
 5569 
 
 5863 
 
 6157 
 
 6450 
 
 205 
 234 
 
 78 
 
 6744 
 
 7038 
 9975 
 
 7332 
 0269 
 
 7626 
 
 7920 
 0856 
 
 8213 
 
 8507 
 
 8801 
 
 9094 
 
 9388 
 
 9 265 
 
 264 
 
 79 
 
 9682 
 
 0563 
 
 1150 
 
 1 443 
 
 1737 
 
 2030 
 
 2324 
 
 
 1480 
 
 1702617 
 
 2911 
 
 3204 
 
 3497 
 
 3791 
 
 4084 
 
 4377 
 
 4671 
 
 4964 
 
 5257 
 
 
 81 
 
 5551 
 
 5844 
 
 6137 
 
 6430 
 
 6723 
 
 7017 
 
 7310 
 
 7603 
 
 7896 
 
 8189 
 
 292 
 
 291 
 
 82 
 
 8482 
 
 8775 
 
 9068 
 
 9361 
 
 9654 
 
 9947 
 
 0240 
 
 0533 
 
 0826 
 
 1119 
 
 T 29 
 
 29 
 
 83 
 
 1711412 
 
 1704 
 
 1997 
 
 2290 
 
 2583 
 
 2876 
 
 3168 
 
 3461 
 
 3754 
 
 4046 
 
 2 58 
 
 58 
 
 84 
 
 4339 
 
 4632 
 
 4924 
 
 5217 
 
 5509 
 
 5802 
 
 6095 
 
 6387 
 
 6680 
 
 6972 
 
 3 88 
 
 27 
 
 85 
 
 7265 
 
 7557 
 
 7849 
 
 8142 
 
 8434 
 
 8727 
 
 9019 
 
 9311 
 
 9604 
 
 9896 
 
 4 117 
 
 5 146 
 
 IIG 
 146 
 
 86 
 
 1720188 
 
 0480 
 
 0773 
 
 1065 
 
 1357 
 
 1649 
 
 1941 
 
 2233 
 
 2526 
 
 2818 
 
 6 175 
 
 175 
 
 87 
 
 3110 
 
 3402 
 
 3694 
 
 3986 
 
 4278 
 
 4570 
 
 4862 
 
 5154 
 
 5446 
 
 5737 
 
 7 204 
 
 204! 
 
 88 
 
 6029 
 
 6321 
 
 6613 
 
 6905 
 
 7197 
 
 7488 
 
 7780 
 
 8072 
 
 8364 
 
 8655 
 
 8 234 
 
 233 
 
 89 
 
 8947 
 
 9239 
 
 9530 
 
 9822 
 
 0113 
 
 0405 
 
 0697 
 
 0988 
 
 1280 
 
 1571 
 
 9 263 
 
 262 
 
 1490 
 
 1731863 
 
 2154 
 
 2446 
 
 2737 
 
 3028 
 
 3320 
 
 3611 
 
 3903 
 
 4194 
 
 4485 
 
 
 91 
 
 4776 
 
 5068 
 
 5359 
 
 5650 
 
 5941 
 
 6233 
 
 6524 
 
 6815 
 
 7106 
 
 7397 
 
 
 92 
 
 7688 
 
 7979 
 
 8270 
 
 8561 
 
 8852 
 
 9143 
 
 9434 
 
 9725 
 
 0016 
 
 0307 
 
 290 
 
 289 
 
 93 
 
 1740598 
 
 0889 
 
 1180 
 
 1471 
 
 1761 
 
 2052 
 
 2343 
 
 2634 
 
 2925 
 
 3215 
 
 r 29 
 
 29 
 
 94 
 
 3506 
 
 3797 
 
 4087 
 
 4378 
 
 4669 
 
 4959 
 
 5250 
 
 5540 
 
 5831 
 
 6121 
 
 2 58 
 
 3 87 
 
 4 116 
 
 58 
 97 
 116 
 
 95 
 
 6412 
 
 6702 
 
 6993 
 
 7283 
 
 7574 
 
 7864 
 
 8155 
 
 8445 
 
 8735 
 
 9026 
 
 96 
 
 9316 
 
 9606 
 
 9897 
 
 0187 
 
 0477 
 
 0767 
 
 1057 
 
 1348 
 
 1638 
 
 1928 
 
 5|l45 
 
 145 
 
 97 
 
 1752218 
 
 2508 
 
 2798 
 
 3088 
 
 3378 
 
 3668 
 
 3958 
 
 4248 
 
 4538 
 
 4828 
 
 6,174 
 7|203 
 81232 
 
 173 
 
 98 
 
 5118 
 
 5408 
 
 5698 
 
 5988 
 
 6278 
 
 6567 
 
 6857 
 
 7147 
 
 7437 
 
 7727 
 
 202 
 231 
 
 99 
 
 ' N. 
 
 8016 
 
 8306 
 
 8596 
 
 8885 
 
 IT 
 
 9175 
 
 ~4~ 
 
 9465 
 
 ~5~ 
 
 9754 
 ~6~ 
 
 0044 
 
 ~7~ 
 
 0333 
 8 
 
 0623 
 
 ~9~ 
 
 9I26I 
 
 260 
 
 
 
 Differ. 
 
(l6) LOGARITHMS N. 15000 L.l 76' 
 
 N. 
 
 1500 
 
 
 
 1 
 
 1202 
 
 2 
 
 1492 
 
 3 
 
 1781 
 
 4 
 
 2071 
 
 5 
 
 2360 
 
 6 
 
 2649 
 
 7 
 
 2939 
 
 8 
 
 3228 
 
 9 
 
 3518 
 
 Differ. 
 
 1760913 
 
 J90 
 
 289 
 
 01 
 
 3807 
 
 4096 
 
 4386 
 
 4675 
 
 4964 
 
 5253 
 
 5543 
 
 5832 
 
 6121 
 
 6410 
 
 1 IJ9 
 
 ~29 
 
 02 
 
 6699 
 
 6988 
 
 7278 
 
 7567 
 
 7856 
 
 8 1 45 
 
 8434 
 
 8723 
 
 9012 
 
 9301 
 
 •2 58 
 
 58 
 
 03 
 
 9590 
 
 9879 
 
 0168 
 
 0457 
 
 0745 
 
 '1034 
 
 1323 
 
 1612 
 
 1901 
 
 2190 
 
 3 87 
 
 87 
 
 04 
 
 1772478 
 
 2767 
 
 3056 
 
 3345 
 
 3633 
 
 3922 
 
 4211 
 
 4499 
 
 4788 
 
 5076 
 
 4 116 
 145 
 
 116 
 145 
 173 
 
 05 
 
 5365 
 
 5654 
 
 5942 
 
 6231 
 
 6519 
 
 6808 
 
 7096 
 
 7385 
 
 7673 
 
 7961 
 
 6' 174 
 
 06 
 
 8250 
 
 8538 
 
 8826 
 
 9115 
 
 9403 
 
 9691 
 
 9980 
 
 0268 
 
 0556 
 
 0844 
 
 7 203 
 
 202 
 
 07 
 
 1781133 
 
 1421 
 
 1709 
 
 1997 
 
 2285 
 
 2573 
 
 2861 
 
 3149 
 
 3437 
 
 3725 
 
 8 232 
 
 231 
 
 Ofi 
 
 4013 
 
 4301 
 
 4589 
 
 4877 
 
 5165 
 
 5453 
 
 5741 
 
 6029 
 
 6317 
 
 6605 
 
 9 261 
 
 260 
 
 09 
 
 6892 
 
 7180 
 
 7468 
 
 7756 
 
 8043 
 
 8331 
 
 8619 
 
 8907 
 
 9194 
 
 9482 
 
 " 
 
 1510 
 
 9769 
 
 0057 
 
 0345 
 
 0632 
 
 0920 
 
 1207 
 
 1495 
 
 1782 
 
 2070 
 
 2357 
 
 
 11 
 
 1792645 
 
 2932 
 
 3219 
 
 3507 
 
 3794 
 
 4082 
 
 4369 
 
 4656 
 
 4943 
 
 5231 
 
 288' 
 
 •^8/ 
 
 12 
 
 5518 
 
 5805 
 
 6092 
 
 6380 
 
 6667 
 
 6954 
 
 7241 
 
 7528 
 
 7815 
 
 8102 
 
 T~29 
 ■2 58 
 3 86 
 
 29 
 
 67 
 
 86 
 
 13 
 
 8389 
 
 8676 
 
 8963 
 
 9250 
 
 9537 
 
 9824 
 
 0111 
 
 0398 
 
 0685 
 
 0972 
 
 14 
 
 1801259 
 
 1546 
 
 1832 
 
 2119 
 
 2406 
 
 2693 
 
 2980 
 
 3266 
 
 3553 
 
 3840 
 
 4 115 
 
 115 
 
 15 
 
 4126 
 
 4413 
 
 4700 
 
 4986 
 
 5273 
 
 5559 
 
 5846 
 
 6133 
 
 6419 
 
 6706 
 
 5 144 
 
 6 173 
 
 7 202 
 
 144 
 
 172 
 201 
 
 16 
 
 6992 
 
 7278 
 
 7565 
 
 7851 
 
 8138 
 
 8424 
 
 8711 
 
 8997 
 
 9283 
 
 9570 
 
 17 
 
 9856 
 
 0142 
 
 0428 
 
 0715 
 
 lOOI 
 
 1287 
 
 1573 
 
 1859 
 
 2145 
 
 2432 
 
 8 230 
 
 230 
 
 18 
 
 1812718 
 
 3004 
 
 3290 
 
 3576 
 
 3862 
 
 4148 
 
 4434 
 
 4720 
 
 5006 
 
 5292 
 
 9 259 
 
 258 
 
 19 
 
 5578 
 
 5864 
 
 6150 
 
 6435 
 
 6721 
 
 7007 
 
 7293 
 
 7579 
 
 7864 
 
 8150 
 
 
 1520 
 
 8436 
 
 8722 
 
 9007 
 
 9293 
 
 9579 
 
 9864 
 
 0150 
 
 0435 
 
 0721 
 
 1007 
 
 
 21 
 
 1821292 
 
 1578 
 
 1863 
 
 2149 
 
 2434 
 
 2720 
 
 3005 
 
 3290 
 
 3576 
 
 3861 
 
 286 
 
 285 
 
 22 
 
 4147 
 
 4432 
 
 4717 
 
 5002 
 
 5288 
 
 5573 
 
 5858 
 
 6143 
 
 6429 
 
 6714 
 
 1 29 
 
 29 
 
 23 
 
 6999 
 
 7284 
 
 7569 
 
 7854 
 
 8140 
 
 8425 
 
 8710 
 
 8995 
 
 9280 
 
 9565 
 
 2 67 
 
 57 
 
 24 
 
 9850 
 
 0135 
 
 0420 
 
 0704 
 
 0989 
 
 1274 
 
 1559 
 
 1844 
 
 2129 
 
 2414 
 
 3 86 
 
 4 114 
 
 86 
 114 
 
 25 
 
 1832698 
 
 2983 
 
 3268 
 
 3553 
 
 3837 
 
 4122 
 
 4407 
 
 4691 
 
 4976 
 
 5261 
 
 5 143 
 
 143 
 
 26 
 
 5545 
 
 5830 
 
 6114 
 
 6399 
 
 6684 
 
 6968 
 
 7253 
 
 7537 
 
 7822 
 
 8106 
 
 6 172 
 
 171 
 
 27 
 
 8390 
 
 8675 
 
 8959 
 
 9244 
 
 9528 
 
 9812 
 
 0096 
 
 0381 
 
 0665 
 
 0949 
 
 7 200 
 
 8 229 
 
 9 257 
 
 200 
 228 
 257 
 
 28 
 29 
 
 1841234 
 4075 
 
 1518 
 4359 
 
 1802 
 4643 
 
 2086 
 4927 
 
 2370 
 5211 
 
 2654 
 5495 
 
 2939 
 5779 
 
 3223 
 6063 
 
 3507 
 6347 
 
 3791 
 6630 
 
 
 1530 
 
 6914 
 
 7198 
 
 7482 
 
 7766 
 
 8050 
 
 8333 
 
 8617 
 
 8901 
 
 9185 
 
 9468 
 
 
 31 
 
 9752 
 
 0036 
 
 0319 
 
 0603 
 
 0886 
 
 1170 
 
 1454 
 
 1737 
 
 2021 
 
 2304 
 
 284 
 
 283 
 
 3G 
 
 1852588 
 
 2871 
 
 3155 
 
 3438 
 
 3721 
 
 4005 
 
 4288 
 
 4572 
 
 4855 
 
 5138 
 
 1 28 
 
 28 
 
 33 
 
 5422 
 
 5705 
 
 5988 
 
 6271 
 
 Q555 
 
 6838 
 
 7121 
 
 7404 
 
 7687 
 
 7970 
 
 2 57 
 
 57 
 
 34 
 
 8254 
 
 8537 
 
 8820 
 
 9103 
 
 9386 
 
 9669 
 
 9952 
 
 0235 
 
 0518 
 
 0801 
 
 3 85 
 
 85 
 
 35 
 
 1861084 
 
 1367 
 
 1650 
 
 1932 
 
 2215 
 
 2498 
 
 2781 
 
 3064 
 
 3347 
 
 3629 
 
 4 114 
 
 5 142 
 
 113 
 142 
 
 36 
 
 3912 
 
 4195 
 
 4478 
 
 4760 
 
 5043 
 
 5326 
 
 5608 
 
 5891 
 
 6174 
 
 6456 
 
 6 170 
 
 170 
 
 37 
 
 6739 
 
 7021 
 
 7304 
 
 7586 
 
 7869 
 
 8151 
 
 8434 
 
 8716 
 
 8999 
 
 9281 
 
 7 199 
 
 198 
 
 38 
 
 9563 
 
 9846 
 
 0128 
 
 0410 
 
 0693 
 
 0975 
 
 1257 
 
 1540 
 
 1822 
 
 210i 
 
 8 227 
 
 226 
 
 39 
 1540 
 
 1872386 
 5207 
 
 2668 
 
 5489 
 
 2951 
 5771 
 
 3233 
 6053 
 
 3515 
 6335 
 
 3797 
 6617 
 
 4079 
 6899 
 
 4361 
 7181 
 
 4643 
 7463 
 
 4925 
 7715 
 
 9 256 
 
 255 
 
 
 41 
 
 - 8026 
 
 8308 
 
 8590 
 
 8872 
 
 9154 
 
 9435 
 
 9717 
 
 9999 
 
 0280 
 
 0562 
 
 
 42 
 
 1880844 
 
 1125 
 
 1407 
 
 1689 
 
 1970 
 
 2252 
 
 2533 
 
 2815 
 
 3096 
 
 3378 
 
 282 
 
 281 
 
 43 
 
 3659 
 
 3941 
 
 4222 
 
 4504 
 
 4785 
 
 5066 
 
 5348 
 
 5629 
 
 5910 
 
 6192 
 
 1 28 
 
 28 
 
 44 
 
 6473 
 
 6754 
 
 7035 
 
 7317 
 
 7598 
 
 7879 
 
 8160 
 
 8441 
 
 8723 
 
 9004 
 
 2 56 
 
 3 85 
 
 56 
 
 84 
 
 45 
 
 9285 
 
 9566 
 
 9847 
 
 0128 
 
 0409 
 
 0690 
 
 0971 
 
 1252 
 
 1533 
 
 1814 
 
 4 113 
 
 112 
 
 46 
 
 1892095 
 
 2376 
 
 2657 
 
 2938 
 
 3218 
 
 3499 
 
 3780 
 
 4061 
 
 4342 
 
 4622 
 
 6 141 
 
 141 
 
 47 
 
 4903 
 
 5184 
 
 5465 
 
 5745 
 
 6026 
 
 6307 
 
 6587 
 
 6868 
 
 7148 
 
 7429 
 
 6 169 
 
 7 197 
 
 8 226 
 
 169 
 197 
 225 
 
 48 
 
 7710 
 
 7990 
 
 8271 
 
 8551 
 
 8832 
 
 9112 
 
 9'393 
 
 9673 
 
 9953 
 
 0234 
 
 49 
 
 N. 
 
 1900514 
 
 0795 
 
 1075 
 
 2 
 
 1355 
 
 1636 
 
 4 
 
 1916 
 
 5 
 
 2196 
 
 6 
 
 2476 
 
 7 
 
 2757 
 ~8~ 
 
 3037 
 
 ~9~ 
 
 9 254 
 
 253 
 
 
 
 Differ. 
 
N. 15500 L. 190 OF NUMBERS. (iT) 
 
 N. 
 
 155C 
 
 
 
 1 
 
 3597 
 
 2 
 3877 
 
 3 
 
 4157 
 
 4 
 
 4438 
 
 5 
 
 4718 
 
 6 
 
 4998 
 
 7 
 
 527S 
 
 8 
 
 5558 
 
 9 
 
 5838 
 
 D.tle. 1 
 
 ) 1903317 
 
 280 
 
 279 
 
 51 
 
 6118 
 
 6398 
 
 6678 
 
 6958 
 
 7238 
 
 75i8 
 
 7798 
 
 8078 
 
 8357 
 
 8637 
 
 T 'JS 
 
 28 
 
 5'i 
 
 8917 
 
 9197 
 
 9477 
 
 9757 
 
 0036 
 
 0316 
 
 0596 
 
 0876 
 
 1155 
 
 1435 
 
 2 56 
 
 5d 
 
 53 
 
 1911715 
 
 1994 
 
 2274 
 
 2553 
 
 2833 
 
 3113 
 
 3392 
 
 3672 
 
 3951 
 
 423 1 
 
 3 84 
 
 84 
 
 54 
 
 4510 
 
 4790 
 
 5069 
 
 5348 
 
 5628 
 
 5907 
 
 6187 
 
 6466 
 
 6745 
 
 7025 
 
 4 112 
 
 5 !4C 
 
 112 
 
 J40 
 
 55 
 
 7304 
 
 7583 
 
 7862 
 
 8142 
 
 8421 
 
 8700 
 
 8979 
 
 9259 
 
 9538 
 
 9817 
 
 6"lfe'8 
 
 167 
 
 5b 
 
 1920096 
 
 0375 
 
 0654 
 
 0933 
 
 1212 
 
 1491 
 
 1770 
 
 2049 
 
 2328 
 
 2<i07 
 
 7 196 
 
 195 
 
 57 
 
 2886 
 
 3165 
 
 3444 
 
 3723 
 
 4-002 
 
 4281 
 
 4559 
 
 4338 
 
 5117 
 
 .5396 
 
 8 '2'24 
 
 9 2b2 
 
 223 
 251 
 
 58 
 
 5675 
 
 5953 
 
 6232 
 
 6511 
 
 6789 
 
 7068 
 
 7347 
 
 7625 
 
 7904 
 
 8183 
 
 59 
 
 8461 
 
 8740 
 
 9018 
 
 9297 
 
 9575 
 
 9854 
 
 0132 
 
 041 1 
 
 0689 
 
 0968 
 
 \ 
 
 1560 
 
 1931246 
 
 1524 
 
 1803 
 
 2081 
 
 2359 
 
 2638 
 
 2916 
 
 %194 
 
 3473 
 
 3751 
 
 278 
 
 277 
 
 61 
 
 4029 
 
 4307 
 
 4585 
 
 4864 
 
 5142 
 
 5420 
 
 5698 
 
 5976 
 
 6254 
 
 6532 
 
 02 
 
 6810 
 
 7088 
 
 7366 
 
 7644 
 
 7922 
 
 8200 
 
 8478 
 
 8756 
 
 9034 
 
 9312 
 
 1 28 
 
 2 56 
 
 28 
 
 63 
 
 9590 
 
 9868 
 
 0145 
 
 0423 
 
 070! 
 
 0979 
 
 1257 
 
 1534 
 
 1812 
 
 20 »0 
 
 3 83 
 
 83 
 
 64 
 
 1942367 
 
 2645 
 
 2923 
 
 3200 
 
 3478 
 
 3756 
 
 4033 
 
 4311 
 
 4588 
 
 4866 
 
 4 111 
 
 HI 
 
 65 
 
 5143 
 
 5421 
 
 5698 
 
 5976 
 
 6253 
 
 6531 
 
 6S0S 
 
 7086 
 
 7363 
 
 7640 
 
 5 139 
 b" 167 
 
 139 
 166 
 
 6Q 
 
 7918 
 
 8195 
 
 8472 
 
 8749 
 
 9027 
 
 9304 
 
 9581 
 
 9858 
 
 0130 
 
 0413 
 
 7 195 
 
 194 
 
 67 
 
 1950690 
 
 0967 
 
 1244 
 
 1521 
 
 1798 
 
 2075 
 
 2353 
 
 2630 
 
 2907 
 
 3184 
 
 8 222 
 
 222 
 
 68 
 69 
 
 3401 
 6229 
 
 3738: 
 6506 
 
 ^40 14 
 
 6783 
 
 4291 
 7060 
 
 4568 
 7336 
 
 4845 
 7613 
 
 5122 
 7890 
 
 5399 
 8167 
 
 5676 
 8443 
 
 5953 
 8720 
 
 9 250 
 
 249 
 
 
 1570 
 
 ^8997 
 
 9273 
 
 9550 
 
 9826 
 
 0103 
 
 0379 
 
 0656 
 
 0932 
 
 1209 
 
 1485 
 
 M-' 
 
 71 
 
 1961762 
 
 2038 
 
 23 1 5 
 
 2591 
 
 2867 
 
 3144 
 
 3420 
 
 3697 
 
 3973 
 
 4249 
 
 •276 
 
 275 
 
 72 
 
 4525 
 
 4802 
 
 5078 
 
 5354 
 
 5630 
 
 5907 
 
 6183 
 
 6459 
 
 6735 
 
 7011 
 
 1 V8 
 
 28 
 
 7,3 
 
 7287 
 
 7563 
 
 7839 
 
 8115 
 
 8391 
 
 8667 
 
 8943 
 
 92i9 
 
 9495 
 
 /771 
 
 2 65 
 
 55 
 
 74 
 
 1970047 
 
 0323 
 
 0599 
 
 0875 
 
 1151 
 
 1427 
 
 1702 
 
 1978 
 
 2254 
 
 2530 
 
 3 83 
 
 4 110 
 
 83 
 110 
 
 75 
 
 2806 
 
 3081 
 
 3357 
 
 3633 
 
 3908 
 
 4184 
 
 4460 
 
 4735 
 
 5011 
 
 5287 
 
 o|l3H 
 
 !38 
 
 76 
 
 5562 
 
 5838 
 
 6113 
 
 6389 
 
 6664 
 
 6940 
 
 7215 
 
 7491 
 
 7766 
 
 8042 
 
 6 1 6b 
 
 165 
 
 77 
 
 8317 
 
 8592 
 
 8868 
 
 9143 
 
 9418 
 
 9694 
 
 9969 
 
 0244 
 
 0520 
 
 0795 
 
 7I193 
 
 8|22! 
 
 193 
 220 
 
 78 
 
 1981070 
 
 1345 
 
 1620 
 437 1 
 
 1896 
 
 2171 
 
 2446 
 
 2721 
 
 2996 
 
 3271 
 
 3546 
 
 9:248 
 
 248 
 
 79 
 
 3821 
 
 4096 
 
 4646 
 
 4921 
 
 51^6 
 
 5471 
 
 5746 
 
 6021 
 
 6296 
 
 
 1580 
 
 6571 
 
 6846 
 
 7121 
 
 7395 
 
 7670 
 
 7945 
 
 8220 
 
 8495 
 
 8769 
 
 9044 
 
 
 81 
 
 9319 
 
 9593 
 
 9868 
 
 i 43 
 
 0417 
 
 0(392 
 
 0967 
 
 1241 
 
 1516 
 
 1790 
 
 274 
 
 273 
 
 82 
 
 1992065 
 
 2339 
 
 2614 
 
 2888 
 
 3163 
 
 3437 
 
 3712 
 
 3986 
 
 4260 
 
 4535 
 
 T 27 
 
 27 
 
 83 
 
 4809 
 
 5083 
 
 335S 
 
 5632 
 
 5906 
 
 6181 
 
 6455 
 
 6729 
 
 7003 
 
 7278 
 
 2 55 
 
 55 
 
 84 
 
 7552 
 
 7826 
 
 8100 
 
 8374 
 
 8648 
 
 8922 
 
 9197 
 
 9471 
 
 9745 
 
 0019 
 
 3 82 
 
 82 
 
 85 
 
 2000293 
 
 0567 
 
 0841 
 
 1115 
 
 1389 
 
 1662 
 
 1936 
 
 2210 
 
 2484^ 
 
 2758 
 
 4 110 
 
 5 137 
 
 109 
 137 
 
 86 
 
 3032 
 
 3306 
 
 3579 
 
 3853 
 
 4127 
 
 4401 
 
 4674, 
 
 4948 
 
 5222 
 
 5496 
 
 6 164 
 
 164 
 
 87 
 
 5769 
 
 6043 
 
 6317 
 
 6590 
 
 6864 
 
 7137 
 
 741 1| 
 
 7684 
 
 7953 
 
 8231 
 
 7 192 
 
 !91 
 
 88 
 
 8505 
 
 8778 
 
 9052 
 
 9325 
 
 9599 
 
 9872 
 
 0146| 
 
 0419 
 
 0692 
 
 0966 
 
 8 219 
 
 9 247 
 
 218 
 
 89 
 1590 
 
 2011239 
 
 1512 
 
 1786 
 
 2059 
 
 2332 
 
 2605 
 
 2879 j 
 
 3152 
 
 3425 
 
 3698. 
 
 246 
 
 3971 
 
 4244 
 
 4517 
 
 4791 
 
 5064 
 
 5337 
 
 5610 
 
 5883 
 
 6156 
 
 6429 
 
 
 91 
 
 6702 
 
 6975 
 
 7248 
 
 7521 
 
 7794 
 
 8066 
 
 8339' 
 
 8612 
 
 8885 
 
 9158 
 
 
 92 
 
 9431 
 
 9703 
 
 9976 
 
 0249 
 
 0522 
 
 0794 
 
 1067 
 
 1340 
 
 1612 
 
 1885 
 
 272 
 
 271 
 
 93 
 
 2022158 
 
 2430 
 
 2703 
 
 2976 
 
 3248 
 
 3521 
 
 3793 
 
 4066 
 
 4338 
 
 4611 
 
 i 27 
 
 27 
 
 94 
 
 4883 
 
 5156 
 
 5428 
 
 5700 
 
 5973 
 
 6245 
 
 6518 
 
 6790 
 
 7062 
 
 7335 
 
 2 54 
 
 3 82 
 
 54 
 
 81 
 108 
 
 95 
 
 7607 
 
 7879 
 
 8151 
 
 8424 
 
 8696 
 
 8968 
 
 9240 
 
 9512 
 
 9785 
 
 0057 
 
 4 109 
 
 96 
 
 2030329 
 
 0601 
 
 0873 
 
 1145* 
 
 1417 
 
 1689 
 
 1961 
 
 2233 
 
 2505 
 
 2777 
 
 5 136 
 
 136 
 
 97 
 
 3049 
 
 3321 
 
 3593 
 
 3865 
 
 4137 
 
 4409 
 
 4681 
 
 4952 
 
 5224 
 
 5496 
 
 6 163 
 
 7 190 
 
 8 218' 
 
 163 
 
 98 
 
 5768 
 
 6040 
 
 6311 
 
 65S3 
 
 6855 
 
 7126 
 
 7398 
 
 7670 
 
 7941 
 
 8213 
 
 190 
 217 
 244 
 
 99 
 
 8485 
 
 8756 
 
 y028 
 
 9299 
 
 9571 
 
 9842 ' 
 
 5114 
 
 0385 
 
 0657 0928 
 
 9 2451 
 
 N. 
 
 
 
 1 
 
 2 
 
 3~ 
 
 '4~ 
 
 5 
 
 6 
 
 T~ 
 
 ~8~ 
 
 9 II 
 
 Diff 
 
 ^r. 
 
 2D 
 
(iS) LOGARITHMS N. l60()() L. 204 
 
 N. 
 
 lOOO 
 
 
 
 1 
 
 1471 
 
 2 
 1743 
 
 3 
 
 2014 
 
 4 
 
 2285 
 
 5 
 
 2557 
 
 6 
 
 7 
 
 8 
 
 9 
 
 3642 
 
 Differ. 1 
 
 2041200 
 
 2828 
 
 3099 
 
 3371 
 
 2721271 1 
 
 01 
 
 3913 
 
 4185 
 
 4456 
 
 4727 
 
 4998 
 
 5269 
 
 5541 
 
 5812 
 
 6083 
 
 6354 
 
 1 27 
 
 27 
 
 02 
 
 6625 
 
 6896 
 
 7167 
 
 7438 
 
 7709 
 
 7980 
 
 8251 
 
 8522 
 
 8793 
 
 9064 
 
 2 54 
 
 54 
 
 0,3 
 
 9335 
 
 9606 
 
 9877 
 
 0148 
 
 0419 
 
 0690 
 
 0960 
 
 1231 
 
 1502 
 
 1773 
 
 3 82 
 
 81 
 
 04 
 
 2052044 
 
 2314 
 
 2585 
 
 2856 
 
 3127 
 
 3397 
 
 3668 
 
 3939 
 
 4209 
 
 4480 
 
 4 109 
 
 5 136 
 
 6 163 
 
 108 
 136 
 163 
 
 05 
 
 4750 
 
 5021 
 
 5292 
 
 5562 
 
 5833 
 
 6103 
 
 6374 
 
 6644 
 
 6915 
 
 7185 
 
 06 
 
 7455 
 
 7726 
 
 7996 
 
 8267 
 
 8537 
 
 8807 
 
 9078 
 
 9348 
 
 9618 
 
 9889 
 
 7 190 
 
 190 
 
 07 
 
 2060159 
 
 042;^^ 
 
 0699 
 
 0969 
 
 1240 
 
 1510 
 
 1780 
 
 2050 
 
 2320 
 
 25.90 
 
 8 218 
 
 217 
 
 08 
 
 2860 
 
 3131 
 
 3401 
 
 3671 
 
 3941 
 
 4211 
 
 4481 
 
 4751 
 
 5021 
 
 5291 
 
 9 245 
 
 244 
 
 09 
 
 5560 
 
 5830 
 
 6100 
 
 6370 
 
 6640 
 
 6910 
 
 7180 
 
 7449 
 
 7719 
 
 7989 
 
 
 1610 
 
 8259 
 
 8529 
 
 8798 
 
 9068 
 
 9338 
 
 9607 
 
 9877 
 
 0147 
 
 0416 
 
 0686 
 
 o'rmo/'n 
 
 11 
 
 2070955 
 
 1225 
 
 i495 
 
 1764 
 
 2034 
 
 2303 
 
 2573 
 
 2842 
 
 3112 
 
 3381 
 
 i/O' 
 
 -JO J/ 
 
 12 
 
 3650 
 
 3920 
 
 4189 
 
 4459 
 
 4728 
 
 4997 
 
 5267 
 
 5536 
 
 5805 
 
 6074 
 
 1 27 
 
 2 54 
 
 3 81 
 
 27 
 
 54 
 81 
 
 13 
 
 6344 
 
 6613 
 
 6882 
 
 7151 
 
 7421 
 
 7690 
 
 7959 
 
 8228 
 
 8497 
 
 8766 
 
 14 
 
 9035 
 
 9304 
 
 9573 
 
 9842 
 
 0111 
 
 0380 
 
 0649 
 
 0918 
 
 1187 
 
 1456 
 
 4 108 
 
 108 
 
 15 
 
 2081725 
 
 1994 
 
 2263 
 
 2532 
 
 2801 
 
 3070 
 
 3338 
 
 3607 
 
 3876 
 
 4145 
 
 5 135 
 
 6 162 
 
 7 189 
 
 135 
 161 
 
 188 
 
 16 
 
 4414 
 
 4682 
 
 4951 
 
 5220 
 
 548S 
 
 5757 
 
 6026 
 
 6294 
 
 6563 
 
 6832 
 
 17 
 
 7100 
 
 7369 
 
 7637 
 
 7906 
 
 8174 
 
 8443 
 
 8711 
 
 8980 
 
 9248 
 
 9517 
 
 8 216 
 
 215 
 
 18 
 
 9785 
 
 0054 
 
 0322 
 
 0590 
 
 0859 
 
 1127 
 
 1395 
 
 1664 
 
 1932 
 
 2200 
 
 9 243 
 
 242 
 
 19 
 
 2092468 
 
 2737 
 
 3005 
 
 3273 
 
 3541 
 
 3810 
 
 407 S 
 
 4346 
 
 4614 
 
 4882 
 
 
 ;620 
 
 5150 
 
 5418 
 
 5686 
 
 5954 
 
 6222 
 
 6490 
 
 6758 
 
 7026 
 
 7294 
 
 7562 
 
 
 21 
 
 7830 
 
 8098 
 
 8366 
 
 8634 
 
 8902 
 
 9170 
 
 9437 
 
 9705 
 
 9973 
 
 0241 
 
 268 
 
 267 
 
 22 
 
 2100508 
 
 0776 
 
 1044 
 
 1312 
 
 1579 
 
 1847 
 
 2115 
 
 2382 
 
 2650 
 
 2918 
 
 IT? 
 
 27 
 
 23 
 
 3185 
 
 3453 
 
 3720 
 
 3988 
 
 4255 
 
 4523 
 
 4790 
 
 5058 
 
 5325 
 
 5593 
 
 2 54 
 
 53 
 
 24 
 
 5860 
 
 6128 
 
 6395 
 
 6662 
 
 6930 
 
 7197 
 
 7464 
 
 7732 
 
 7999 
 
 8266 
 
 3 80 
 
 4 107 
 
 80 
 107 
 
 25 
 
 8534 
 
 8801 
 
 9068 
 
 9335 
 
 9603 
 
 9870 
 
 0137 
 
 0404 
 
 0671 
 
 0938 
 
 5 134 
 
 134 
 
 26 
 
 211 1205 
 
 1472 
 
 1740 
 
 2007 
 
 2274 
 
 2541 
 
 2808 
 
 3075 
 
 3342 
 
 3609 
 
 6 161 
 
 160 
 
 27 
 
 3876 
 
 4142 
 
 4409 
 
 4676 
 
 4943 
 
 5210 
 
 5477 
 
 5744 
 
 6010 
 
 6277 
 
 7 188 
 
 8 214 
 
 9 241 
 
 187 
 214 
 
 94.0 
 
 28 
 
 6544 
 
 6811 
 
 7078 
 
 7344 
 
 7611 
 
 7878 
 
 8144 
 
 8411 
 
 8678 
 
 8944 
 
 29 
 
 9211 
 
 9477 
 
 9744 
 
 Don 
 
 0277 
 
 0544 
 
 0810 
 
 1077 
 
 1343 
 
 1610 
 
 
 1630 
 
 2121876 
 
 2142 
 
 2409 
 
 2675 
 
 2942 
 
 3208 
 
 3474 
 
 3741 
 
 4007 
 
 4273 
 
 
 31 
 
 4540 
 
 4806 
 
 5072 
 
 5338 
 
 5605 
 
 5871 
 
 6137 
 
 6403 
 
 6669 
 
 6935 
 
 266 
 
 265 
 
 32 
 
 7202 
 
 7468 
 
 7734 
 
 8000 
 
 8266 
 
 8532 
 
 8798 
 
 9064 
 
 9330 
 
 9596 
 
 1 ~27 
 
 ~27 
 
 33 
 
 9862 
 
 0128 
 
 0394 
 
 0660 
 
 0926 
 
 1191 
 
 1457 
 
 1723 
 
 1989 
 
 2255 
 
 2 53 
 
 53 
 
 34 
 
 2132521 
 
 2786 
 
 3052 
 
 3318 
 
 3584 
 
 3849 
 
 4115 
 
 4381 
 
 4646 
 
 4912 
 
 3 80 
 
 80 
 
 35 
 
 5178 
 
 5443 
 
 5709 
 
 5974 
 
 6240 
 
 6505 
 
 6771 
 
 7037 
 
 7302 
 
 7568 
 
 4 106 
 
 5 133 
 
 106 
 133 
 
 36 
 
 7833 
 
 8098 
 
 8364 
 
 8629 
 
 8895 
 
 9160 
 
 9425 
 
 9691 
 
 9956 
 
 0221 
 
 6 160 
 
 159 
 
 37 
 
 2140487 
 
 0752 
 
 1017 
 
 1283 
 
 1548 
 
 1813 
 
 2078 
 
 2343 
 
 2609 
 
 2874 
 
 7 186 
 
 186 
 
 38 
 
 3139 
 
 3404 
 
 3669 
 
 3934 
 
 4199 
 
 4464 
 
 4730 
 
 4995 
 
 5260 
 
 5525 
 
 8213 
 
 212 
 
 - 39 
 
 5790 
 
 6055 
 
 6319 
 
 6584 
 
 6849 
 
 71 14 
 
 7379 
 
 7644 
 
 7909 
 
 8174 
 
 9 239 
 
 239 
 
 1640 
 
 8438 
 
 8703 
 
 8968 
 
 9233 
 
 9498 
 
 9762 
 
 S027 
 
 0292 
 
 0556 
 
 0821 
 
 
 41 
 
 2151086 
 
 1350 
 
 1615 
 
 1880 
 
 2144 
 
 2409 
 
 2673 
 
 2938 
 
 3203 
 
 3467 
 
 
 42 
 
 3732 
 
 3996 
 
 4260 
 
 4525 
 
 4789 
 
 5054 
 
 5318 
 
 5583- 
 
 5847 
 
 6111 
 
 264 
 
 263 
 
 43 
 
 6376 
 
 6640 
 
 6Q04 
 
 7169 
 
 7433 
 
 7697 
 
 7961 
 
 8226 
 
 8490 
 
 8754 
 
 T 26 
 
 26 
 
 44 
 
 9018 
 
 9282 
 
 9516 
 
 9811 
 
 D075 
 
 0339 
 
 0603 
 
 0867 
 
 1131 
 
 1395 
 
 2 53 
 
 3 79 
 
 4 106 
 
 53 
 79 
 105 
 
 45 
 
 2161659 
 
 1923 
 
 2187 
 
 2451 
 
 2715 
 
 2979 
 
 3243 
 
 3507 
 
 3771 
 
 4034 
 
 46 
 
 42^*8 
 
 4562 
 
 4826 
 
 5090 
 
 5354 
 
 5617 
 
 5881 
 
 6145 
 
 6409 
 
 6672 
 
 5 132 
 
 132 
 
 47 
 
 6936 
 
 7 .'00 
 
 7463 
 
 7727 
 
 7991 
 
 8254 
 
 8518 
 
 8781 
 
 9045 
 
 9309 
 
 6 158 
 
 158 
 
 48 
 
 9572 
 
 9836 
 
 009 Q 
 
 0363 
 
 0626 
 
 089') 
 
 1153 
 
 1416 
 
 1680 
 
 1943 
 
 7 185 
 
 8 211 
 
 184 
 210 
 237 
 
 49 
 
 2172207 
 
 2470 
 1 
 
 2733 
 
 2997 
 
 3 
 
 ■3260 
 
 4 
 
 :i523 
 5 
 
 3786 
 
 4050 
 
 7 
 
 43 1 3 
 8 
 
 4576 
 
 9 238 
 
 
 
 6 
 
 9 
 
 Differ. 
 
N. 
 
 l()50(/L.^17 
 
 OF NUMBERS. 
 
 
 
 
 (ly) 
 
 1630 
 
 
 
 1 
 
 5103 
 
 9. 
 5366 
 
 3 
 
 5629 
 
 4 
 
 5892 
 
 5 
 
 6155 
 
 6 
 
 6418 
 
 7 
 
 6682 
 
 8 
 
 6945 
 
 9 
 
 Ditfb-. 
 
 2174S39 
 
 7208 
 
 254)263 
 
 51 
 
 7471 
 
 7734 
 
 7997 
 
 8260 
 
 8523 
 
 8786 
 
 9049 
 
 9312 
 
 9575 
 
 9838 
 
 1 26 
 
 26 
 
 52 
 
 2180100 
 
 0363 
 
 0626 
 
 0889 
 
 1152 
 
 1415 
 
 1677 
 
 1940 
 
 2203 
 
 2466 
 
 2 '6i 
 
 53 
 
 53 
 
 2729 
 
 2991 
 
 3251 
 
 3517 
 
 3779 
 
 4042 
 
 4305 
 
 4567 
 
 4830 
 
 5092 
 
 i 79 
 
 79 
 
 54 
 
 5355 
 
 5618 
 
 5880 
 
 6143 
 
 6405 
 
 <)Qm 
 
 6930 
 
 7193 
 
 7455 
 
 7718 
 
 4 106 
 
 5 132 
 
 105 
 
 132 
 
 55 
 
 7980 
 
 8242 
 
 8505 
 
 8767 
 
 !)030 
 
 9292 
 
 9554 
 
 9810 
 
 0079 
 
 0341 
 
 6 158 
 
 158 
 
 56 
 
 2190(303 
 
 0866 
 
 1 128 
 
 1390 
 
 1652 
 
 1914 
 
 2177 
 
 2439 
 
 2701 
 
 296:^ 
 
 7 185 
 
 184 
 
 51 
 
 3225 
 
 3487 
 
 3749 
 
 4011 
 
 4273 
 
 4535 
 
 4797 
 
 5059 
 
 5321 
 
 5583 
 
 8211 
 9 238 
 
 210 
 
 58 
 
 59 
 
 5845 
 8464 
 
 6107 
 8726 
 
 6369 
 
 6631 
 
 9249 
 
 6893 
 9511 
 
 7155 
 
 7417 
 
 7678 
 
 7y40 
 0558 
 
 8902 
 
 237 
 
 8987 
 
 9773 
 
 0034 
 
 0296 
 
 0819 
 
 
 1660 
 
 2201081 
 
 1342 
 
 1604 
 
 1866 
 
 2127 
 
 2389 
 
 2 050 
 
 2912 
 
 3173 
 
 3435 
 
 9(?QIO/?l 
 
 61 
 
 3696 
 
 395 s 
 
 4219 
 
 4481 
 
 4742 
 
 5003 
 
 5265 
 
 5526 
 
 5788 
 
 6049 
 
 Tie 
 
 2 5'2 
 
 ^yj I 
 
 62 
 
 6310 
 
 6571 
 
 6833 
 
 7094 
 
 7355 
 
 7617 
 
 7878 
 
 8139 
 
 8400 
 
 8661 
 
 26 
 52 
 
 Q3 
 
 8922 
 
 9184 
 
 9445 
 
 9706 
 
 9967 
 
 0228 
 
 0489 
 
 0750 
 
 1011 
 
 1272 
 
 3 79 
 
 78 
 
 64 
 
 2211533 
 
 1794 
 
 2055 
 
 23 1 6 
 
 2577 
 
 2838 
 
 3099 
 
 3360 
 
 3621 
 
 3882 
 
 4 103 
 
 104 
 
 65 
 
 4142 
 
 4403 
 
 4664 
 
 4925 
 
 5186 
 
 5416 
 
 5707 
 
 5968 
 
 6229 
 
 6489 
 
 5 131 
 
 6 157 
 
 131 
 157 
 
 QQ 
 
 6750 
 
 7011 
 
 7271 
 
 7532 
 
 7793 
 
 8053 
 
 8314 
 
 8574 
 
 8835 
 
 9095 
 
 7 183 
 
 183 
 
 67 
 
 9356 
 
 9617 
 
 9877 
 
 0138 
 
 0398 
 
 0658 
 
 0919 
 
 1179 
 
 1440 
 
 1700 
 
 8 210 
 
 209 
 
 68 
 69 
 
 2221960 
 4563 
 
 2221 
 4824 
 
 2481 
 5084 
 
 2741 
 5344 
 
 3002 
 5604 
 
 3262 
 5864 
 
 3522 
 6124 
 
 3783 
 6384 
 
 4043 
 6645 
 
 4303 
 6905 
 
 9 236 
 
 235 
 
 
 1670 
 
 71.65 
 
 7 425 
 
 7685 
 
 7945 
 
 8205 
 
 8465 
 
 8725 
 
 8985 
 
 9245 
 
 9505 
 
 
 71 
 
 9764 
 
 0024 
 
 0284 
 
 0544 
 
 0804 
 
 1064 
 
 1324 
 
 1583 
 
 1843 
 
 2103 
 
 2G0 ' " 
 
 259 
 
 72 
 
 2232363 
 
 2622 
 
 2882 
 
 3 1 42 
 
 3402 
 
 3661 
 
 3921 
 
 4181 
 
 4440 
 
 4700 
 
 1 26 
 
 26 
 
 73 
 
 4959 
 
 5219 
 
 5479 
 
 5738 
 
 5998 
 
 6257 
 
 6517 
 
 6776 
 
 7036 
 
 7295 
 
 2 62 
 
 3 7B 
 
 52 
 
 78 
 104 
 
 74 
 
 7555 
 
 7814 
 
 8073 
 
 8333 
 
 8592 
 
 8852 
 
 9111 
 
 9370 
 
 9630 
 
 9889 
 
 4 104 
 
 75 
 
 2240148 
 
 0407 
 
 0667 
 
 0926 
 
 1 185 
 
 I! 44 
 
 1704 
 
 1963 
 
 2222 
 
 2481 
 
 5 130 
 
 130 
 
 76 
 
 2740 
 
 ^999 
 
 3258 
 
 3517 
 
 3777 
 
 4036 
 
 4295 
 
 4554 
 
 4813 
 
 5072 
 
 6 156 
 
 7 182 
 
 155 
 181 
 207 
 
 77 
 
 5331 
 
 5590 
 
 5849 
 
 6107 
 
 6366 
 
 6625 
 
 6884 
 
 7143 
 
 7402 
 
 7661 
 
 8 208 
 
 78 
 79 
 
 7920 
 2250507 
 
 8178 
 0766 
 
 8437 
 1024 
 
 8696 
 1283 
 
 8955 
 1541 
 
 9213 
 1800 
 
 9472 
 2059 
 
 9731 
 2317 
 
 9990 
 2576 
 
 0248 
 2834 
 
 9 234 
 
 233 
 
 
 1680 
 
 3093 
 
 3351 
 
 3610 
 
 386i 
 
 4127 
 
 4385 
 
 4644 
 
 4902 
 
 5160 
 
 5419 
 
 
 81 
 
 5677 
 
 5935 
 
 6194 
 
 6452 
 
 6710 
 
 6969 
 
 7227 
 
 7485 
 
 7743 
 
 8002 
 
 258 
 
 257 
 
 82 
 
 8260 
 
 8518 
 
 8776 
 
 9034 
 
 9293 
 
 955 1 
 
 9809 
 
 0067 
 
 0325 
 
 0583 
 
 1 26 
 
 26 
 
 83 
 
 2260841 
 
 1099 
 
 1357 
 
 1615 
 
 1873 
 
 2131 
 
 2389 
 
 2647 
 
 2905 
 
 3163 
 
 2 52 
 
 51 
 
 84 
 
 3421 
 
 3679 
 
 3937 
 
 4194 
 
 4452 
 
 4710 
 
 4968 
 
 5226 
 
 5484 
 
 574! 
 
 3 77 
 
 77 
 
 85 
 
 5999 
 
 6257 
 
 6515 
 
 6772 
 
 7030 
 
 7288 
 
 7545 
 
 7803 
 
 8060 
 
 8318 
 
 4 103 
 
 5 129 
 
 103 
 129 
 
 86 
 
 8576 
 
 m32, 
 
 9091 
 
 9348 
 
 9606 
 
 9863 
 
 0121 
 
 0378 
 
 0636 
 
 0893 
 
 6 155 
 
 154 
 
 87 
 
 2271151 
 
 1408 
 
 1666 
 
 1923 
 
 2180 
 
 2438 
 
 2695 
 
 2953 
 
 3210 
 
 3467 
 
 7 181 
 
 180 
 
 88 
 
 372 1 
 
 3982 
 
 4239 
 
 4496 
 
 4753 
 
 5011 
 
 5268 
 
 5525 
 
 5782 
 
 6039 
 
 8 206 
 
 9 232 
 
 206 
 
 89 
 
 6296 
 
 6554 
 
 681 1 
 
 7068 
 
 7325 
 
 7582 
 
 7839 
 
 8096 
 
 8353 
 
 8610 
 
 231 
 
 1690 
 
 8867 
 
 9124 
 
 9381 
 
 9638 
 
 9895 
 
 0152 
 
 0409 
 
 0666 
 
 0922 
 
 1179 
 
 
 91 
 
 228 1 436 
 
 1693 
 
 1950 
 
 2206 
 
 2463 
 
 2720 
 
 2977 
 
 3233 
 
 3490 
 
 3717 
 
 V' 
 
 92 
 
 4004 
 
 4260 
 
 4517 
 
 4774 
 
 5030 
 
 5287 
 
 5543 
 
 5800 
 
 6057 
 
 6313 
 
 256 
 
 255 
 
 93 
 
 6570 
 
 6826 
 
 7083 
 
 7339 
 
 7596 
 
 7 8.? 2 
 
 8108 
 
 8365^ 
 
 •^621 
 
 8878 
 
 1 26 
 
 26 
 
 94 
 
 9134 
 
 9390 
 
 9647 
 
 9903 
 
 0159 
 
 0410 
 
 0672 
 
 0928 
 
 1185 
 
 1441 
 
 2 51 
 
 3 77 
 
 51 
 
 77 
 
 95 
 
 229 1 697 
 
 1953 
 
 2209 
 
 2466 
 
 2722 
 
 2978 
 
 3234 
 
 3490 
 
 3746 
 
 4002 
 
 4 102 
 
 102 
 
 96 
 
 4258 
 
 4515 
 
 4771 
 
 5027 
 
 5283 
 
 5539 
 
 5795 
 
 6051 
 
 6307 
 
 6562 
 
 5 128 
 
 128 
 
 97 
 
 6818 
 
 7074 
 
 7330 
 
 7586 
 
 7842 
 
 8098 
 
 8354 
 
 8609 
 
 8865 
 
 9121 
 
 6 154 
 
 7 179 
 
 8 205 
 
 153 
 179 
 204 
 
 98 
 
 9377 
 
 9633 
 
 9888 
 
 5 144 
 
 0400 
 
 0656 
 
 0911 
 
 1167 
 
 1423 
 
 1678 
 
 99 
 
 N. 
 
 2301934 
 
 2189 
 1 
 
 2445 
 2 
 
 2701 
 
 3 
 
 2956 
 
 4 
 
 3212 
 5 
 
 3467 
 
 6 
 
 3723 
 
 7 
 
 3978 
 
 4234 
 
 9 230 
 
 230 
 
 
 
 8 
 
 9 
 
 Differ. 1 
 
 2D2 
 
) LOGARITHMS M. 17000 L. 230 
 
 />. 
 
 
 
 1 
 
 2 
 
 5000 
 
 3 
 
 4 
 
 5511 
 
 5 
 
 5766 
 
 6 
 
 7 
 
 8 
 
 6532 
 
 9 
 
 Differ. 
 
 17 )0 
 
 2304489 
 
 17 45 
 
 5250 
 
 6022 
 
 6211 
 
 6788 
 
 
 01 
 
 7043 
 
 7298 
 
 7554 
 
 7809 
 
 8064 
 
 8320 
 
 8575 
 
 8830 
 
 9085 
 
 9340 
 
 
 02 
 
 9596 
 
 Q851 
 
 (5l06 
 
 0361 
 
 0616 
 
 0871 
 
 1126 
 
 1381 
 
 1636 
 
 1891 
 
 
 03 
 
 2312146 
 
 2401 
 
 2656 
 
 29 1 1 
 
 3166 
 
 3421 
 
 3676 
 
 3931 
 
 4186 
 
 4441 
 
 
 04- 
 
 4696 
 
 4951 
 
 5206 
 
 5460 
 
 5715 
 
 5970 
 
 6225 
 
 6480 
 
 6734 
 
 6989 
 
 
 256 
 
 255 
 
 05 
 
 7244 
 
 7499 
 
 7753 
 
 8008 
 
 8263 
 
 8517 
 
 8772 
 
 9026 
 
 9281 
 
 9536 
 
 i 
 
 2 
 3 
 
 26 
 
 ~26 
 51 
 
 77 
 
 06 
 
 9f90 
 
 (^045 
 
 0299 
 
 0554 
 
 0808 
 
 1063 
 
 1317 
 
 1572 
 
 1826 
 
 2081 
 
 •.) 1 
 
 77 
 
 07 
 
 2322335 
 
 2590 
 
 2844 
 
 3098 
 
 3353 
 
 3607 
 
 3861 
 
 4116 
 
 4370 
 
 4624 
 
 4 
 
 102 
 
 102 
 
 08 
 
 4879 
 
 5133 
 
 5387 
 
 5641 
 
 5896 
 
 6150 
 
 6404 
 
 6658 
 
 6912 
 
 7166 
 
 5 
 
 128 
 
 128 
 
 09 
 
 7421 
 
 7675 
 
 7929 
 
 8183 
 
 8437 
 
 8691 
 
 8945 
 
 9199 
 
 9453 
 
 9707 
 
 6 
 
 7 
 8 
 
 154 
 179 
 
 205 
 
 153 
 179 
 
 204 
 
 1710 
 
 9961 
 
 0215 
 
 0469 
 
 0723 
 
 0977 
 
 1231 
 
 1485 
 
 1739 
 
 1992 
 
 2246 
 
 11 
 
 12 
 
 2332500 
 
 5038 
 
 2754 
 5291 
 
 3008 
 5545 
 
 3262 
 5799 
 
 3515 
 6052 
 
 3769 
 6306 
 
 4023 
 6559 
 
 4277 
 6813 
 
 4530 
 7067 
 
 4784 
 7320 
 
 9 
 
 230 
 
 230 
 
 
 13 
 
 7574 
 
 7827 
 
 8081 
 
 8334 
 
 8588 
 
 8841 
 
 9095 
 
 9348 
 
 9601 
 
 985^ 
 
 
 14 
 
 2340108 
 
 0362 
 
 0615 
 
 0868 
 
 1122 
 
 1375 
 
 1628 
 
 1881 
 
 2135 
 
 2388 
 
 
 15 
 
 2641 
 
 2894 
 
 3148 
 
 3401 
 
 3654 
 
 3907 
 
 4160 
 
 4414 
 
 4667 
 
 4920 
 
 
 254 
 
 253 
 
 16 
 
 5173 
 
 5426 
 
 5679 
 
 5932 
 
 6185 
 
 6438 
 
 6691 
 
 6944 
 
 7197 
 
 7450 
 
 T 
 
 25 
 
 25 
 
 17 
 
 7703 
 
 7956 
 
 8209 
 
 8462 
 
 8715 
 
 8967 
 
 9220 
 
 9473 
 
 9726 
 
 9979 
 
 2 
 
 61 
 
 51 
 
 18 
 
 2350232 
 
 0484 
 
 0737 
 
 0990 
 
 1243 
 
 1495 
 
 1748 
 
 2001 
 
 2253 
 
 2506 
 
 3 
 4 
 
 5 
 
 76 
 102 
 127 
 
 7G 
 101 
 127 
 
 19 
 
 2759 
 
 3011 
 
 3264 
 
 3517 
 
 3769 
 
 4022 
 
 4274 
 
 4527 
 
 4779 
 
 5032 
 
 1720 
 
 5284 
 
 ^537 
 
 5789 
 
 6042 
 
 6294 
 
 6547 
 
 6799 
 
 7052 
 
 7304 
 
 7556 
 
 6 
 
 152 
 
 152 
 
 21 
 
 7809 
 
 8061 
 
 8313 
 
 8566 
 
 8818 
 
 9070 
 
 9323 
 
 9575 
 
 9827 
 
 0079 
 
 7 
 8 
 9 
 
 178 
 203 
 229 
 
 177 
 202 
 
 228 
 
 22 
 
 2360331 
 
 0584 
 
 0836 
 
 3357 
 
 1088 
 3609 
 
 1340 
 
 1592 
 
 1844 
 
 2097^ 
 4617 
 
 ^2349 
 
 4869 
 
 2601 
 5121 
 
 23 
 
 2853 
 
 3105 
 
 3861 
 
 4113 
 
 4365 
 
 
 24 
 
 5373 
 
 5625 
 
 5876 
 
 6128 
 
 6380 
 
 6632 
 
 6884 
 
 7136 
 
 7 3B7 
 
 7639 
 
 
 25 
 
 7891 
 
 8143 
 
 8394 
 
 8646 
 
 8898 
 
 9150 
 
 9401 
 
 9653 
 
 9905 
 
 0156 
 
 
 26 
 
 2370408 
 
 0660 
 
 0911 
 
 1163 
 
 1414 
 
 1666 
 
 1917 
 
 2169 
 
 2420 
 
 2672 
 
 
 252 
 
 251 
 
 27 
 
 2923 
 
 3175 
 
 3426 
 
 3678 
 
 3;)29 
 
 4181 
 
 4432 
 
 4683 
 
 4935 
 
 5186 
 
 1 
 
 25 
 
 25 
 
 28 
 
 5437 
 
 5689 
 
 5940 
 
 6191 
 
 6443 
 
 6694 
 
 6945 
 
 7196 
 
 7448 
 
 7699 
 
 2 
 
 50 
 
 60 
 
 29 
 
 7950 
 
 8201 
 
 8452 
 
 8703 
 
 8955 
 
 9206 
 
 9457 
 
 9708 
 
 9959 
 
 0210 
 
 3 
 
 76 
 
 76 
 
 1730 
 
 2380461 
 
 0712 
 
 0963 
 
 1214 
 
 1 465 
 
 1716 
 
 1967 
 
 2218 
 
 2469 
 
 2720 
 
 4 
 
 101 
 126 
 
 100 
 126' 
 
 31 
 
 2971 
 
 3222 
 
 3472 
 
 3723 
 
 3974 
 
 4225 
 
 4476 
 
 4727 
 
 4977 
 
 5228 
 
 f.' 
 
 15! 
 
 151 
 
 32 
 
 5479 
 
 5730 
 
 5980 
 
 6231 
 
 6482 
 
 '6732 
 
 6983 
 
 7234 
 
 7484 
 
 7735 
 
 7 
 
 !76 
 
 176 
 
 33 
 
 7986 
 
 8236 
 
 8487 
 
 8737 
 
 '8988 
 
 9238 
 
 9489 
 
 9739 
 
 9990 
 
 0240 
 
 te 
 
 202 
 
 201 
 
 34 
 
 2390491 
 
 0741 
 
 0992 
 
 1242 
 
 1493 
 
 j 1743 
 
 1993 
 
 2244 
 
 2494 
 
 2744 
 
 9 
 
 227 
 
 226 
 
 35 
 
 2995 
 
 3245 
 
 3495 
 
 3746 
 
 3996 
 
 4246 
 
 4496 
 
 4747 
 
 4997 
 
 5247 
 
 
 36 
 
 5497 
 
 5747 
 
 5998 
 
 6248 
 
 6498 
 
 6748- 
 
 6998 
 
 7248 
 
 7498 
 
 7748 
 
 
 37 
 
 7998 
 
 8248 
 
 8498 
 
 8748 
 
 8998 
 
 9248 
 
 9498 
 
 9748 
 
 9998 
 
 0248 
 
 
 38 
 
 2400498 
 
 0748 
 
 0997 
 
 1247 
 
 1497 
 
 1747 
 
 1997 
 
 2247 
 
 2496 
 
 2746 
 
 
 250 
 
 249 
 
 39 
 
 2996 
 
 3246 
 
 3495 
 
 3745 
 
 3995 
 
 4244 
 
 4494 
 
 4744 
 
 4993 
 
 5243 
 
 1 
 
 25 
 
 25 
 
 1740 
 
 5492 
 
 5742 
 
 5992 
 
 6241 
 
 6491 
 
 6740 
 
 6990 
 
 7239 
 
 7489 
 
 7738 
 
 2 
 3 
 
 50 
 
 75 
 
 50 
 75 
 
 41 
 
 7988 
 
 8237 
 
 8487 
 
 8736 
 
 8985 
 
 9235 
 
 9484 
 
 9734 
 
 9983 
 
 0232 
 
 4 
 
 100 
 
 100 
 
 42 
 
 2410482 
 
 0731 
 
 0980 
 
 1229 
 
 1479 
 
 1728 
 
 1977 
 
 2226 
 
 2^76 
 
 2725 
 
 5 
 
 125 
 
 125 
 
 43 
 
 2974 
 
 3223 
 
 3472 
 
 3721 
 
 3970 
 
 4220 
 
 4469 
 
 4718 
 
 4967 
 
 5216 
 
 6 
 
 150 
 
 149 
 
 4i 
 
 5465 
 
 5714 
 
 5963 
 
 6212 
 
 6461 
 
 6710 
 
 6959 
 
 7208 
 
 7457 
 
 7705 
 
 7 
 8 
 
 175 
 200 
 
 174 
 199 
 
 45 
 46 
 
 ■'V954 
 2420442 
 
 8203 
 0691 
 
 8452 
 0940 
 
 8701 
 1189 
 
 8950 
 1437 
 
 9199 
 1686 
 
 9i47 
 1935 
 
 9696 
 2183 
 
 9945 
 2432 
 
 (5194 
 2680 
 
 9 
 
 225 
 
 224 
 
 
 "i 
 
 47 
 
 2929 
 
 3178 
 
 3426 
 
 3675 
 
 3923 
 
 4172 
 
 4420 
 
 4669 
 
 4917 
 
 5166 
 
 
 48 
 
 5414 
 
 5663 
 
 5911 
 
 6160 
 
 6408 
 
 6656 
 
 6905 
 
 7153 
 
 7401 
 
 7650 
 
 
 49 
 
 7898 
 
 8146 
 
 8395 
 
 8643 
 
 8891 
 
 9139 
 5 
 
 9388 
 
 9636 
 
 9884 
 
 0132 
 
 
 
 N. 
 
 
 
 1 
 
 2 I 3 
 
 4 
 
 6 
 
 7 
 
 8 
 
 9 
 
 Differ. 
 
x\. 17500 L.243 OF NUMBERS. («^1) 
 
 1730 
 
 
 
 i 1 
 
 0029 
 
 ^2 
 
 0S77 
 
 3 
 
 1125 
 
 4 
 
 1373 
 
 5 
 
 6 
 
 7 
 
 2117 
 
 8 
 
 2365 
 
 9 
 
 1) lifer. 
 
 2430380 
 
 1621 
 
 1869 
 
 26 1 3 
 
 
 51 
 
 2861 
 
 3109 
 
 3357 
 
 3605 
 
 3853 
 
 4101 
 
 4349 
 
 4597 
 
 4845 
 
 5093 
 
 
 52 
 
 5341 
 
 5589 
 
 5837 
 
 6085 
 
 6332 
 
 6580 
 
 6828 
 
 7076 
 
 7324 
 
 7571 
 
 
 53 
 
 7819 
 
 8067 
 
 8315 
 
 8562 
 
 8810 
 
 9053 
 
 9:^05 
 
 9553 
 
 9801 
 
 0048 
 
 
 54 
 
 24402Q6 
 
 0543 
 
 0791 
 
 1039 
 
 1286 
 
 1534 
 
 1781 
 
 2029 
 
 2276 
 
 252 i- 
 
 248 247 
 
 55 
 
 277! 
 
 3019 
 
 3266 
 
 3514 
 
 3761 
 
 4008 
 
 4256 
 
 4503 
 
 4750 
 
 4998 
 
 1 25 
 
 2 50 
 
 25 
 45 
 
 56 
 
 5245 
 
 5492 
 
 5740 
 
 5987 
 
 6234 
 
 6482 
 
 6729 
 
 6976 
 
 7223 
 
 7470 
 
 3 74 
 
 74 
 
 57 
 
 7718 
 
 7965 
 
 8212 
 
 8459 
 
 8706 
 
 8953 
 
 9200 
 
 9^48 
 
 9695 
 
 9942 
 
 4 99 
 
 99 
 
 58 
 
 2450 1S9 
 
 0436 
 
 0683 
 
 0930 
 
 1177 
 
 1424 
 
 1671 
 
 1918 
 
 2165 
 
 2411 
 
 5 124 
 
 124 
 
 59 
 
 2658 
 
 2905 
 
 3152 
 
 3399 
 
 361.6 
 
 3893 
 
 4140 
 
 4386 
 
 4633 
 
 4880 
 
 (,1149 
 
 7'l74 
 
 8[l93 
 
 148 
 173 
 198 
 
 1760 
 
 5127 
 
 5373 
 
 5620 
 
 5867 
 
 6114 
 
 6360 
 
 6607 
 
 6854 
 
 7100 
 
 7347 
 
 61 
 
 6,2 
 
 7594 
 2460059 
 
 7 840 
 0300 
 
 8087 
 0552 
 
 8333 
 0798 
 
 8580 
 1045 
 
 8826 
 1291 
 
 9073 
 1538 
 
 9 20 
 1784 
 
 9566 
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 9813 
 
 2277! 
 
 91223 
 
 222 
 
 
 63 
 
 2523 
 
 2769 
 
 3016 
 
 3262 
 
 3508 ; 
 
 3755 
 
 4001 
 
 4247 
 
 4493 
 
 4740 
 
 
 64 
 
 4986 
 
 5232 
 
 5478 
 
 5721< 
 
 5970: 
 
 6217 
 
 6463 
 
 670.;* 
 
 6955 
 
 7201 
 
 
 65 
 
 7447 
 
 7693 
 
 7939 
 
 8185 
 
 84311 
 
 8677 
 
 8923 
 
 9169 
 
 9415 
 
 96611 
 
 246 
 
 245 
 
 66 
 
 9907 
 
 0153 
 
 0399 
 
 0645 
 
 0891 
 
 1133 
 
 1382 
 
 1628 
 
 1874 
 
 2120; 
 
 1 25 
 
 25 
 
 67 
 
 2472365 
 
 2611 
 
 2857 
 
 3103 
 
 3349, 
 
 3594 
 
 3840 
 
 4086 
 
 4331 
 
 4577 
 
 2 49 
 
 49 
 
 68 
 
 4823 
 
 5098 
 
 5314 
 
 5559 
 
 5805' 
 
 005 1 
 
 6296 
 
 6542 
 
 6787 
 
 7033 
 
 J 74 
 
 4 98 
 
 5 123 
 
 74 
 98 
 123 
 
 69 
 
 7278 
 
 7524 
 
 7769 
 
 8015 
 
 8260; 
 
 8506 
 
 8751 
 
 8997 
 
 9242 
 
 9487 
 
 1770 
 
 97.33 
 
 9978 
 
 0223 
 
 0469 
 
 0714i 
 
 0959 
 
 1205 
 
 1450 
 
 1695 
 
 1940 
 
 fJ 148 
 
 147 
 
 71 
 
 2482186 
 
 2431 
 
 2i)7 6 
 
 29.^ 
 
 3166: 
 
 3412 
 
 3657 
 
 3902 
 
 4147 
 
 4392| 
 
 7 172 
 
 8 197 
 
 9 221 
 
 172 
 196 
 221 
 
 72 
 
 4657 
 7087 
 
 48 S 2 
 
 5 1 27 
 
 7577 
 
 5372 
 
 56171 
 
 5862 
 x3\2 
 
 6107 
 
 6352 
 
 6597 
 9047 
 
 6842! 
 9291 1 
 
 73 
 
 7332 
 
 7822 
 
 8067 ; 
 
 8557 
 
 8802 
 
 
 74 
 
 9536 
 
 9781 
 
 0026 
 
 0271 
 
 0515 
 
 0760 
 
 1005 
 
 121-9 
 
 1494 
 
 1739! 
 
 
 75 
 
 2491984 
 
 2228 
 
 2473 
 
 2718 
 
 2962 
 
 3207 
 
 3151 
 
 3696 
 
 3941 
 
 4185 
 
 
 76 
 
 4430 
 
 4674 
 
 4919 
 
 5163 
 
 5408 i 
 
 5652 
 
 5897 
 
 6141 
 
 6385 
 
 6630 
 
 12441243 
 
 77 
 
 6874 
 
 7119 
 
 7363 
 
 7607 
 
 7852| 
 
 8096 
 
 8310 
 
 8585 
 
 8829 
 
 90731 
 
 I 24 
 
 24 
 
 78 
 
 9318 
 
 9,562 
 
 9806 
 
 0050 
 
 0294 
 
 0539 
 
 0783 
 
 1027 
 
 1271 
 
 1515| 
 
 2 49 
 
 49 
 
 79 
 
 2501759 
 
 2004 
 
 2248 
 
 2492 
 
 2736 
 
 2980 
 
 3224- 
 
 3468 
 
 3712 
 
 39561 
 
 3 73 
 
 73 
 
 1780 
 
 4200 
 
 4444 
 
 4688 
 
 4932 
 
 5176 
 
 5420 
 
 5664 
 
 5908 
 
 6151 
 
 6395 
 
 41 98 
 3: 122 
 
 ^1 
 
 122 
 
 81 
 
 6639 
 
 6883 
 
 7127 
 
 7371 
 
 7614 
 
 7858 
 
 8102 
 
 8346 
 
 8590 
 
 88331 
 
 6 146- 
 
 I4S 
 
 82 
 
 9077 
 
 9321 
 
 9564 
 
 9803 
 
 0052 
 
 0295 
 
 0539 
 
 0783 
 
 1026 
 
 12701 
 
 7|l71 
 
 170 
 
 83 
 
 2511513 
 
 1757 
 
 2001 
 
 2244 
 
 2488 
 
 2731 
 
 2975 
 
 3218 
 
 3462 
 
 3705 ' 
 
 8J195 
 
 194 
 
 84 
 
 3949 
 
 4192 
 
 4435 
 
 4679 
 
 4922 
 
 5166 
 
 5409 
 
 5652 
 
 5896 
 
 6139: 
 
 91220 
 
 219 
 
 85 
 
 6382 
 
 6625 
 
 6869 
 
 7112 
 
 7355 
 
 7599 
 
 7842 
 
 80S5 
 
 8328 
 
 8571 
 
 
 86 
 
 8815 
 
 9058 
 
 9301 
 
 9544 
 
 9787 
 
 0030 
 
 0273 
 
 0516 
 
 0759 
 
 1002! 
 
 
 87 
 
 2521246 
 
 1489 
 
 1732 
 
 1975 
 
 2218 
 
 2461 
 
 2703 
 
 2946 
 
 3189 
 
 3432: 
 
 
 88 
 
 3675 
 
 3918 
 
 4161 
 
 4404 
 
 4647 
 
 4889 
 
 5132 
 
 5375 
 
 5618 
 
 5861 
 
 242 
 
 241 
 
 89 
 
 6103 
 
 6346 
 
 6589 
 
 6832 
 
 7074 
 
 7317 
 
 7560 
 
 7802 
 
 8045 
 
 8288 
 
 F 24 
 
 24 
 
 1790 
 
 8530 
 
 8773 
 
 9016 
 
 9258 
 
 9501 
 
 9743 
 
 9986 
 
 0228 
 
 0471 
 
 0713; 
 
 2 48 
 
 3 TA 
 
 48 
 72 
 
 91 
 
 2530956 
 
 1198 
 
 1441 
 
 1683 
 
 1926 
 
 2168 
 
 2411 
 
 2653 
 
 2895 
 
 3138 
 
 4 97 
 
 96 
 
 92 
 
 3380 
 
 3622 
 
 3865 
 
 4107 
 
 4319 
 
 4592 
 
 4834 
 
 5076 
 
 5318 
 
 5561' 
 
 5 121 
 
 121 
 
 93 
 
 5803 
 
 6045 
 
 6287 
 
 6529 
 
 6772 
 
 7014 
 
 7256 
 
 7498 
 
 7740 
 
 7982! 
 
 6 145 
 
 7 169 
 
 8 194 
 
 !45 
 169 
 193 
 
 94 
 
 8224 
 
 8466 
 
 8709 
 
 8951 
 
 9193 
 
 9435 
 
 )677 
 
 9919 
 
 0161 
 
 0403 1 
 
 95 
 96 
 
 2540645 
 3063 
 
 0886 
 3S05 
 
 1128 
 3547 
 
 1370 
 
 3789 
 
 1612 
 4030 
 
 1854 
 4272 
 
 2096 
 4514 
 
 2338 
 4756 
 
 2580 
 
 4997 
 
 2822^ 
 5239 
 
 91218 
 
 217 
 
 
 97 
 
 5481 
 
 5722 
 
 5964 
 
 6206 
 
 6447 
 
 6689 
 
 6931 
 
 7172 
 
 7414 
 
 76551 
 
 
 98 
 
 78D7 
 
 8138 
 
 8380 
 
 8621 
 
 8863 
 
 9104 
 
 9346 
 
 9587 
 
 9829 
 
 0070 
 
 
 99 
 
 N. 
 
 2550312 
 
 0553 
 
 0794 
 
 1036 
 
 3 
 
 1277 
 
 1519 
 5 
 
 1760 
 
 6 
 
 2001 
 
 2242 
 
 2484 
 
 
 
 
 1 
 
 2 
 
 4 
 
 7 
 
 8 
 
 9 ' 
 
 1 Differ. 
 
(eS) LOGARITHMS ' N. 18000 L. ^256 
 
 N. 
 
 
 
 1 
 
 2 
 
 S 
 
 4 
 
 5 
 
 6 7 
 
 8 
 
 9 
 
 D 
 
 i^ro. 
 
 1800 
 
 2552725 
 
 2966 
 
 3208 
 
 3449 
 
 3690 
 
 3931 
 
 4172 4414 
 
 4655 
 
 4896 
 
 
 240 
 
 01 
 
 5137 
 
 5378 
 
 5619 
 
 5860 
 
 6102 
 
 6343 
 
 6584 
 
 6825 
 
 7066 
 
 7307 
 
 241 
 
 1 24 
 
 02 
 
 7548 
 
 7789 
 
 8030 
 
 S27 1 
 
 8512 
 
 8753 
 
 8994 
 
 9235 
 
 9475 
 
 97 16 
 
 
 2 48 
 
 03 
 
 9957 
 
 0198 
 
 0439 
 
 0680 
 
 0921 
 
 1161 
 
 1402 
 
 1643 
 
 1884 
 
 2125 
 
 
 3 72 
 
 4 96 
 
 5 120 
 
 04 
 
 2562365 
 
 2606 
 
 2847 
 
 3087 
 
 3328 
 
 3569 
 
 3810 
 
 4050 
 
 4291 
 
 4531 
 
 
 05 
 
 4772 
 
 5013 
 
 5253 
 
 5494 
 
 5734 
 
 5975 
 
 6215 
 
 6456 
 
 6696 
 
 6937 
 
 
 6' 144 
 
 OS 
 
 7177 
 
 7418 
 
 7658 
 
 7899 
 
 8139 
 
 S3 80 
 
 8620 
 
 8860 
 
 9101 
 
 9341 
 
 
 7 168 
 
 8 '92 
 
 9 216 
 
 07 
 
 9582 
 
 9822 
 
 0062 
 
 0302 
 
 0543 
 
 0783 
 
 1023 
 
 1264 
 
 1504 
 
 1744 
 
 
 08 
 
 2571984 
 
 2224 
 
 2465 
 
 2705 
 
 2945 
 
 3185 
 
 3425 
 
 3665 
 
 3905 
 
 4146 
 
 
 
 09 
 
 4386 
 
 4626 
 
 4866 
 
 5106 
 
 5346 
 
 5586 
 
 5826 
 
 6066 
 
 6306 
 
 6546 
 
 240 
 
 239 
 
 1 24' 
 
 2 48 
 
 1810 
 
 6786 
 
 7026 
 
 7266 
 
 7506 
 
 7745 
 
 7985 
 
 8225 
 
 8465 
 
 8705 
 
 8945 
 
 
 li 
 
 9 1 85 
 
 9424 
 
 9664 
 
 9904 
 
 0144 
 
 0383 
 
 0623 
 
 0863 
 
 1103 
 
 1342 
 
 
 3 72 
 
 12 
 
 2581582 
 
 1 822 
 
 2061 
 
 2301 
 
 2541 
 
 2780 
 
 3020 
 
 3259 
 
 3499 
 
 373S 
 
 
 4 96 
 
 13 
 
 3978 
 
 4218 
 
 4457 
 
 4697 
 
 4936 
 
 5176 
 
 5415 
 
 5655 
 
 5894 
 
 6133 
 
 
 5 120 
 
 6 143 
 
 7 167 
 
 14 
 
 6373 
 
 6612 
 
 6852 
 
 7091 
 
 7330 
 
 7570 
 
 7809 
 
 8048 
 
 8288 
 
 8527 
 
 
 15 
 
 8766 
 
 9006 
 
 9245 
 
 9484 
 
 9723 
 
 9963 
 
 0202 
 
 0441 
 
 0680 
 
 0919 
 
 
 H 191 
 9215 
 
 16 
 
 2591158 
 
 1398 
 
 1637 
 
 1876 
 
 2115 
 
 2354 
 
 2593 
 
 2832 
 
 3071 
 
 3310 
 
 
 17 
 
 -3549 
 
 3788 
 
 4027 
 
 4266 
 
 4505 
 
 4744 
 
 4983 
 
 5222 
 
 5461 
 
 5700 
 
 
 238 
 
 18 
 
 5939 
 
 6178 
 
 6417 
 
 6655 
 
 6894 
 
 7133 
 
 7372 
 
 7611 
 
 p49 
 0237 
 
 8088 
 
 239 
 
 1 24 
 
 19 
 
 8327 
 
 8566 
 
 8804 
 
 9043 
 
 9282 
 
 9521 
 
 9759 
 
 9998 
 
 0475 
 
 
 2 48 
 
 3 71 
 
 1820 
 
 2600714 
 
 0952 
 
 1191 
 
 1430 
 
 1668 
 
 1907 
 
 2145 
 
 2384 
 
 2622 
 
 2861 
 
 
 4 95 
 
 21 
 
 3099 
 
 3338 
 
 3576 
 
 3815 
 
 4053 
 
 4292 
 
 4530 
 
 4769 
 
 r>007 
 
 5245 
 
 
 5 119 
 
 22 
 
 5484 
 
 5722 
 
 5960 
 
 6199 
 
 6437 
 
 6675 
 
 6914 
 
 7152 
 
 7390 
 
 7628 
 
 
 6 143 
 
 7 167 
 
 8 190 
 
 23 
 
 7867 
 
 8105 
 
 8343 8581 
 
 8820 
 
 9058 
 
 9296 
 
 9534 
 
 9772 
 
 0010 
 
 
 24 
 
 2610248 
 
 0486 
 
 0725 0963 
 
 1201 
 
 1439 
 
 1677 
 
 1915 
 
 2153 
 
 239 1 
 
 238 
 
 9214 
 
 25 
 
 2629 
 
 2867 
 
 3105 
 
 3343 
 
 3580 
 
 3818 
 
 4056 
 
 4294 
 
 4532 
 
 4770 
 
 237 
 
 26 
 
 5008 
 
 5246 
 
 5483 
 
 5721 
 
 5959 
 
 6197 
 
 6435 
 
 6672 
 
 6910 
 
 7148 
 
 
 I 24 
 
 27 
 
 7385 
 
 7623 
 
 7861 
 
 8099 
 
 8336 
 
 8574 
 
 8811 
 
 9049 
 
 92S7 
 
 9524 
 
 
 2 47 
 
 28 
 
 9762 
 
 9999 
 
 0237 
 
 0475 
 
 0712 
 
 0950 
 
 1187 
 
 1425 
 
 1662 
 
 1900 
 
 
 3 71 
 
 4 95 
 
 5 119 
 
 29 
 
 2622137 
 
 2374 
 
 2612 
 
 2849 
 
 3087 
 
 3324 
 
 3562 
 
 379:^ 
 
 4036 
 
 4274 
 
 
 1830 
 
 4511 
 
 4748 
 
 4986 
 
 5223 
 
 5460 
 
 5697 
 
 5935 
 
 6172 
 
 6409 
 
 6646 
 
 
 6 142 
 
 31 
 
 6883 
 
 7121 
 
 7358 
 
 7595 
 
 7832 
 
 8069 
 
 8306 
 
 8543 
 
 8781 
 
 9018 
 
 
 7 166 
 
 8 190 
 
 9 213 
 
 32 
 
 9255 
 
 9492 
 
 9729 
 
 9966 
 
 0203 
 
 0440 
 
 0677 
 
 0914 
 
 1151 
 
 1383 
 
 
 33 
 
 2631625 
 
 1862 
 
 2098 
 
 2335 
 
 2572 
 
 2809 
 
 3046 
 
 3283 
 
 3520 
 
 3757 
 
 237 
 
 
 34 
 
 3993 
 
 4230 
 
 4467 
 
 4704 
 
 4940 
 
 5177 
 
 5414 
 
 5651 
 
 5887 
 
 6124 
 
 
 236 
 
 1 24 
 
 2 47 
 
 35 
 
 6361 
 
 6507 
 
 6834 
 
 7071 
 
 7307 
 
 7544 
 
 7780 
 
 8017 
 
 8254 
 
 8490 
 
 
 36 
 
 8727 
 
 8963 
 
 9200 
 
 9436 
 
 9673 
 
 9909 
 
 0146 
 
 0382 
 
 0619 
 
 0855 
 
 
 3 71 
 
 37 
 
 2641092 
 
 1328 
 
 1564 
 
 1801 
 
 2037 
 
 2273 
 
 2510 
 
 2746 
 
 2982 
 
 3219 
 
 
 4 94 
 
 38 
 
 3455 
 
 3691 
 
 3928 
 
 4164 
 
 4400 
 
 4636 
 
 4873 
 
 5109 
 
 5345 
 
 5581 
 
 
 5 118 
 
 6 142 
 
 Sj 
 
 5817 
 
 6053 
 
 6290 
 
 6526 
 
 6762 
 
 6998 
 
 7234 
 
 7470 
 
 7706 
 
 7942 
 
 236 
 
 7 165 
 
 1840 
 
 8178 
 
 8414 
 
 8650 
 
 8886 
 
 9122 
 
 9358 
 
 9594 
 
 9830 
 
 0066 
 
 0302 
 
 8 189 
 9212 
 
 41 
 
 2650538 
 
 0774 
 
 1010 
 
 1246 
 
 1481 
 
 1717 
 
 1953 
 
 2189 
 
 2425 
 
 2660 
 
 
 42 
 
 2896 
 
 3132 
 
 3368 
 
 3604 
 
 3839 
 
 4075 
 
 4311 
 
 4546 
 
 4782 
 
 5018 
 
 
 235 
 
 43 
 
 5253 
 
 5489 
 
 5725 
 
 5960 
 
 6196 
 
 643 1 
 
 6667 
 
 6903 
 
 "138 
 
 7374 
 
 
 i| 24 
 
 44 
 
 7609 
 
 7845 
 
 8080 
 
 8316 
 
 8551 
 
 8787 
 
 9022 
 
 9257 
 
 9493 
 
 9728 
 
 
 2 47 
 5 71 
 
 45 
 
 9964 
 
 0199 
 
 0434 
 
 0670 
 
 0905 
 
 1140 
 
 1376 
 
 1611 
 
 1846 
 
 2082 
 
 
 i 94 
 
 46 
 
 2662317 
 
 2552 
 
 2787 
 
 3023 
 
 3258 
 
 3493 
 
 3728 
 
 3063 
 
 4199 
 
 4434 
 
 
 5 118 
 
 47 
 
 4669 
 
 4904 
 
 5139 
 
 5374 
 
 5609 
 
 5844 
 
 6080 
 
 6315 
 
 6550 
 
 6785 
 
 235 
 
 3 141 
 
 M65 
 i 188 
 
 48 
 
 7020 
 
 7255 
 
 7490 
 
 7725 
 
 7960 
 
 8195 
 
 8429 
 
 8664 
 
 8899 
 
 9134 
 
 
 40 
 N. 
 
 9369 
 
 9604 
 1 ' 
 
 9839 
 
 0074 
 
 0309 
 
 4 
 
 0543 
 
 0778 
 
 1013 
 
 7 
 
 1248 
 
 8 
 
 1483 
 
 9 1 
 
 ( 
 
 )212 
 
 
 
 2 
 
 3 
 
 5 
 
 6 
 
 D 
 
 Pts. 
 
N. 18500 L. 267 OF NUMBERS. (23) 
 
 N. 
 
 1850 
 
 
 
 1 
 
 1952 
 
 2 
 
 2187 
 
 3 
 
 2421 
 
 4 
 
 2656 
 
 5 
 
 2891 
 
 6 
 
 3126 
 
 7 
 
 3360 
 
 8 
 
 3595 
 
 9 1 
 
 3830 
 
 D 
 
 Pro. 
 
 234 
 
 2671717 
 
 51 
 
 . 4064- 
 
 1-299 
 
 4533 
 
 4768 
 
 5003 
 
 5237 
 
 5472 
 
 5706 
 
 5941 
 
 6175 
 
 
 1 
 
 23 
 
 52 
 
 6410 
 
 6644 
 
 6879 
 
 7113 
 
 7318 
 
 7582 
 
 7817 
 
 8051 
 
 8285 
 
 8520 
 
 
 2 
 
 47 
 
 53 
 
 8754 
 
 8989 
 
 9223 
 
 9457 
 
 9692 
 
 9926 
 
 0160 
 
 0394 
 
 0629 
 
 0863 
 
 
 3 
 
 4 
 
 70 
 94 
 117 
 
 5-i 
 
 2681097 
 
 1332 
 
 1566 
 
 1800 
 
 2034 
 
 2268 
 
 2503 
 
 2737 
 
 2971 
 
 3205 
 
 
 5 
 
 55 
 
 3439 
 
 3673 
 
 ^907 
 
 4141 
 
 4376 
 
 4610 
 
 4844 
 
 5078 
 
 5312 
 
 5546 
 
 234 
 
 6 
 
 140 
 
 56 
 
 5780 
 
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 6482 
 
 6716 
 
 6950 
 
 7183 
 
 7417 
 
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 7 
 
 Q 
 
 16"4 
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 57 
 
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 9522 
 
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 B 
 
 9 
 
 58 
 
 2690457 
 
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 1158 
 
 1392 
 
 1626 
 
 1859 
 
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 233 
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 5596 
 
 5830 
 
 6063 
 
 6297 
 
 6530 
 
 6764 
 
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 7230 
 
 
 2 
 
 47 
 
 61 
 
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 7697 
 
 7930 
 
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 9330 
 
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 70 
 
 62 
 
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 233 
 
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 93 
 
 63 
 
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 117 
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 64 
 
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 4925 
 
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 5857 
 
 6090 
 
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 7 
 
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 8 
 
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 186 
 
 66 
 
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 67 
 
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 3536 
 
 
 232 [ 
 
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 4466 
 
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 5163 
 
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 5628 
 
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 69 
 
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 70 
 
 1870 
 
 8416 
 
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 232 
 
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 93 
 
 71 
 
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 2362 
 
 2594 
 
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 116 
 
 72 
 
 3058 
 
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 3522 
 
 3754 
 
 3986 
 
 4218 
 
 4450 
 
 4682 
 
 4914 
 
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 6 
 
 7 
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 139 
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 73 
 
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 6537 
 
 6769 
 
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 7464 
 
 
 74 
 
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 7928 
 
 8159 
 
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 8623 
 
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 9086 
 
 9318 
 
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 9I209 
 
 75 
 
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 0939 
 
 1171 
 
 1402 
 
 1634 
 
 1865 
 
 2097 
 
 
 231 
 
 76 
 
 2328 
 
 2560 
 
 2791 
 
 3023 
 
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 3717 
 
 3949 
 
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 4411 
 
 
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 23 
 
 77 
 
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 5568 
 
 5799 
 
 6031 
 
 6262 
 
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 6725 
 
 
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 46 
 
 78 
 
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 7418 
 
 7650 
 
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 8112 
 
 8343 
 
 8574 
 
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 4 
 5 
 
 69 
 
 79 
 
 9268 
 
 9499 
 
 9730 
 
 9961 
 
 0192 
 
 0423 
 
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 1116 
 
 1347 
 
 231 
 
 92 
 116 
 
 1880 
 
 2741578 
 
 1809 
 
 2040 
 
 2271 
 
 2502 
 
 2733 
 
 296-i- 
 
 3195 
 
 3426 
 
 3657 
 
 
 6 
 
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 81 
 
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 4119 
 
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 4581 
 
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 5273 
 
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 57 '^5 
 
 5965 
 
 
 7 
 8 
 9 
 
 162 
 185 
 
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 82 
 
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 6427 
 
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 7119 
 
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 7581 
 
 7811 
 
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 83 
 
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 9426 
 
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 0348 
 
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 84 
 
 2750809 
 
 1039 
 
 1270 
 
 1500 
 
 1731 
 
 1961 
 
 2192 
 
 2422 
 
 2653 
 
 2883 
 
 
 230 
 
 1 no 
 
 85 
 
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 3574 
 
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 4035 
 
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 4496 
 
 4726 
 
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 5187 
 
 
 1 
 
 2 
 
 ^0 
 46 
 
 86 
 
 5417 
 
 5647 
 
 5877 
 
 6108 
 
 6338 
 
 6568 
 
 6798 
 
 7028 
 
 7259 
 
 7489 
 
 
 3 
 
 69 
 
 87 
 
 7719 
 
 7949 
 
 8179 
 
 8409 
 
 8640 
 
 8870 
 
 9100 
 
 9330 
 
 9560 
 
 9790 
 
 230 
 
 4 
 
 92 
 
 88 
 
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 0250 
 
 0480 
 
 0710 
 
 0940 
 
 1170 
 
 1400 
 
 1630 
 
 1860 
 
 2090 
 
 
 5 
 6 
 7 
 
 115 
 138 
 161 
 
 89 
 
 2320 
 
 2549 
 
 2779 
 
 3009 
 
 3239 
 
 3469 
 
 3699 
 
 3929 
 
 4158 
 
 4388 
 
 
 1890 
 
 4618 
 
 4848 
 
 5078 
 
 5307 
 
 5537 
 
 5767 
 
 5997 
 
 6226 
 
 6i^56 
 
 6686 
 
 
 8 
 
 184 
 
 91 
 
 6915 
 
 7145 
 
 7375 
 
 7604 
 
 7834 
 
 8063 
 
 8293 
 
 8523 
 
 8752 
 
 8982 
 
 
 9 
 
 207 
 
 92 
 
 9211 
 
 9441 
 
 9670 
 
 9900 
 
 0129 
 
 0359 
 
 0588 
 
 0818 
 
 1047 
 
 1277 
 
 
 229 1 
 
 93 
 
 2771506 
 
 1736 
 
 1965 
 
 2194 
 
 2424 
 
 2653 
 
 2882 
 
 3112 
 
 3341 
 
 3570 
 
 
 1 
 
 23 
 
 94 
 
 3800 
 
 4029 
 
 4258 
 
 4488 
 
 4717 
 
 4946 
 
 5175 
 
 5405 
 
 5634 
 
 5863 
 
 
 2 
 3 
 
 46 
 69 
 
 95 
 
 6092 
 
 6321 
 
 6550 
 
 6780 
 
 7009 
 
 7238 
 
 7467 
 
 7696 
 
 7925 
 
 8154 
 
 229 
 
 4 
 
 92 
 
 96 
 
 8383 
 
 8612 
 
 8841 
 
 9070 
 
 9299 
 
 9528 
 
 9757 
 
 9986 
 
 0215 
 
 0444 
 
 
 5 
 
 115 
 
 97 
 
 2780673 
 
 0902 
 
 1131 
 
 1360 
 
 1589 
 
 1818 
 
 2047 
 
 2276 
 
 2504 
 
 2733 
 
 
 6 
 
 7 
 g 
 
 137 
 160 
 183 
 
 98 
 
 2962 
 
 3191 
 
 3420 
 
 3648 
 
 3877 
 
 4106 
 
 4335 
 
 4564 
 
 4792 
 
 5021 
 
 
 99 
 
 5250 
 
 5478 
 
 5707 
 2 
 
 5936 
 
 3 
 
 6164 
 
 i 4 
 
 6393 
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 6622 
 
 6 
 
 6850 
 
 7 
 
 7079 
 8 
 
 7307 
 
 9 
 
 
 9 
 
 206 
 
 
 
 D 
 
 Pts. 
 
(24) 
 
 LOGARITHMS N. 19000 L. 278 
 
 N. 
 
 1900 
 
 
 
 1 
 
 7765 
 
 2 
 
 7993 
 
 S 
 
 8222 
 
 4 
 
 8450 
 
 5 
 
 8679 
 
 6 
 
 8907 
 
 7 
 
 9 1 36 
 
 8 
 
 9364 
 
 9 
 
 9593 
 
 D 
 
 Pro. 
 
 228 
 
 2787536 
 
 01 
 
 9821 
 
 ?5050 
 
 0278 
 
 0506 
 
 0735 
 
 0963 
 
 1192 
 
 1420 
 
 1648 
 
 1877 
 
 
 1 23 
 
 02 
 
 2792105 
 
 2333 
 
 2562 
 
 2790 
 
 3018 
 
 3247 
 
 3475 
 
 3703 
 
 3931 
 
 4160 
 
 
 2 46 
 
 3 68 
 
 4 91 
 
 03 
 
 4388 
 
 4616 
 
 4844 
 
 5072 
 
 5301 
 
 5529 
 
 5757 
 
 5985 
 
 6213 
 
 644J 
 
 
 04- 
 
 6669 
 
 68l)8 
 
 7126 
 
 7354 
 
 7582 
 
 7810 
 
 8038 
 
 8266 
 
 8494 
 
 8722 
 
 228 
 
 5 114 
 
 05 
 
 8950 
 
 9178 
 
 9406 
 
 9634 
 
 9862 
 
 0090 
 
 0317 
 
 0545 
 
 0773 
 
 1001 
 
 
 6 137 
 
 7 160 
 
 8 182 
 
 06 
 
 2801229 
 
 1457 
 
 1685 
 
 1912 
 
 2140 
 
 2368 
 
 2596 
 
 2824 
 
 3051 
 
 3279 
 
 
 07 
 
 3507 
 
 3735 
 
 3962 
 
 4190 
 
 4418 
 
 4645 
 
 4873 
 
 5101 
 
 5328 
 
 5556 
 
 
 9 205 
 
 08 
 
 5784 
 
 601] 
 
 6239 
 
 6467 
 
 6694 
 
 6922 
 
 7 1 49 
 
 7377 
 
 7604 
 
 7832 
 
 
 227 
 1 23 
 
 09 
 
 8059 
 
 8287 
 
 8514 
 
 8742 
 
 8969 
 
 9197 
 
 9424 
 
 9651 
 
 9879 
 
 0106 
 
 
 1910 
 
 2810354 
 
 0561 
 
 0788 
 
 1016 
 
 1243 
 
 1470 
 
 1698 
 
 1925 
 
 2152 
 
 2380 
 
 
 2 45 
 
 11 
 
 2607 
 
 28 S4 
 
 3061 
 
 3289 
 
 3516 
 
 3743 
 
 3970 
 
 4197 
 
 4425 
 
 4652 
 
 
 S 68 
 
 12 
 
 4879 
 
 5106 
 
 5333 
 
 5560 
 
 5787 
 
 6014 
 
 6242 
 
 6469 
 
 6696 
 
 6923 
 
 227 
 
 4 91 
 
 5 114 
 
 13 
 
 7150 
 
 7377 
 
 7604 
 
 7831 
 
 8058 
 
 8285 
 
 8512 
 
 8739 
 
 8966 
 
 9192 
 
 6 136 
 
 14 
 
 9419 
 
 9646 
 
 9873 
 
 0100 
 
 0327 
 
 0554 
 
 0781 
 
 1007 
 
 1234 
 
 1461 
 
 
 7 169 
 
 15 
 
 2821688 
 
 1915 
 
 2141 
 
 2368 
 
 2595 
 
 2822 
 
 3048 
 
 3275 
 
 3502 
 
 3728 
 
 
 8 182 
 
 9 204 
 
 16 
 
 3955 
 
 4182 
 
 4408 
 
 4635 
 
 4862 
 
 5088 
 
 5315 
 
 5541 
 
 5768 
 
 5995 
 
 
 
 17 
 
 6221 
 
 6448 
 
 6674 
 
 6901 
 
 7127 
 
 7354 
 
 7580 
 
 7807 
 
 8033 
 
 8260 
 
 
 226 
 
 18 
 
 8486 
 
 8712 
 
 8939 
 
 9165 
 
 9392 
 
 9618 
 
 9844 
 
 0071 
 
 0297 
 
 0523 
 
 
 1 23 
 
 2 45 
 
 3 68 
 
 19 
 
 2830750 
 
 0976 
 
 1202 
 
 1429 
 
 1655 
 
 1881 
 
 2107 
 
 2334 
 
 2560 
 
 2786 
 
 
 1920 
 
 3012 
 
 3238 
 
 3465 
 
 3691 
 
 3917 
 
 4143 
 
 4369 
 
 4595 
 
 4821 
 
 5048 
 
 226 
 
 4 90 
 
 21 
 
 5274 
 
 5500 
 
 5726 
 
 5952 
 
 6178 
 
 6404 
 
 6630 
 
 6856 
 
 7082 
 
 7308 
 
 
 5 113 
 
 6 136 
 
 7 158 
 
 22 
 
 7534 
 
 7760 
 
 7986 
 
 8212 
 
 8438 
 
 8663 
 
 8889 
 
 9115 
 
 •9341 
 
 9567 
 
 
 '23 
 
 9793 
 
 0019 
 
 0245 
 
 0470 
 
 0696 
 
 0922 
 
 1148 
 
 1373 
 
 1599 
 
 1825 
 
 
 8 181 
 
 24 
 
 284205 1 
 
 2276 
 
 2502 
 
 2728 
 
 2953 
 
 3179 
 
 3405 
 
 3630 
 
 3856 
 
 4082 
 
 
 9 203 
 
 25 
 
 4307 
 
 4533 
 
 4759 
 
 4984 
 
 5210 
 
 5435 
 
 5661 
 
 5886 
 
 6112 
 
 6337 
 
 
 225 
 
 26 
 
 6563 
 
 6788 
 
 7014 
 
 7239 
 
 7465 
 
 7690 
 
 7916 
 
 8141 
 
 8366 
 
 8592 
 
 
 1 23 
 
 27 
 
 8817 
 
 9043 
 
 9268 
 
 9493 
 
 9719 
 
 9944 
 
 0169 
 
 0394 
 
 0620 
 
 0845 
 
 
 2 45 
 
 3 68 
 
 4 90 
 
 5 113 
 
 28 
 
 2851070 
 
 1296 
 
 1521 
 
 1746 
 
 1971 
 
 2196 
 
 2422 
 
 2647 
 
 2872 
 
 3097 
 
 
 29 
 
 3322 
 
 3547 
 
 3773 
 
 3998 
 
 4223 
 
 4448 
 
 4673 
 
 4898 
 
 5123 
 
 5348 
 
 225 
 
 1930 
 
 5573 
 
 5798 
 
 6023 
 
 6248 
 
 647 3 
 
 6698 
 
 6923 
 
 7148 
 
 7373 
 
 7598 
 
 6 135 
 
 7 158 
 
 8 180 
 
 31 
 
 7823 
 
 8048 
 
 8273 
 
 8497 
 
 8722 
 
 8947 
 
 9172 
 
 9397 
 
 9622 
 
 9846 
 
 
 32 
 
 286007 1 
 
 02'»6 
 
 0521 
 
 0746 
 
 0970 
 
 1195 
 
 1420 
 
 1644 
 
 1869 
 
 2094 
 
 
 9 203 
 
 33 
 
 2319 
 
 2543 
 
 2768 
 
 2993 
 
 3217 
 
 3442 
 
 3666 
 
 3891 
 
 4116 
 
 4340 
 
 
 224 
 1 22 
 
 34 
 
 4565 
 
 4789 
 
 5014 
 
 5238 
 
 5463 
 
 5687 
 
 5912 
 
 6136 
 
 6361 
 
 6585 
 
 
 35 
 
 6810 
 
 7034 
 
 7259 
 
 7483 
 
 7707 
 
 7932 
 
 8156 
 
 8381 
 
 8605 
 
 8829 
 
 
 2 45 
 
 36 
 
 9054 
 
 9278 
 
 9502 
 
 9726 
 
 9951 
 
 0175 
 
 0399 
 
 0624 
 
 0848 
 
 1072 
 
 
 3 67 
 
 37 
 
 2871296 
 
 1520 
 
 1745 
 
 1969 
 
 2193 
 
 2417 
 
 2641 
 
 2865 
 
 3090 
 
 3314 
 
 
 i 90 
 5 112 
 5 134 
 
 38 
 
 3538 
 
 3762 
 
 3986 
 
 4210 
 
 4434 
 
 4658 
 
 4882 
 
 5106 
 
 5330 
 
 5554 
 
 224 
 
 39 
 
 5778 
 
 6002 
 
 6226 
 
 6450 
 
 6674 
 
 6898 
 
 7122 
 
 7346 
 
 7570 
 
 7793- 
 
 
 7 157 
 
 1940 
 
 8017 
 
 8241 
 
 8465 
 
 8689 
 
 8913 
 
 9136 
 
 9360 
 
 9584 
 
 9808 
 
 0032 
 
 ( 
 
 B 179 
 )202 
 
 41 
 
 2880255 
 
 0479 
 
 0703 
 
 0927 
 
 1150 
 
 1374 
 
 1598 
 
 1821 
 
 2045 
 
 2269 
 
 : 
 
 42 
 
 2492 
 
 ■27 16 
 
 2939 
 
 3163 
 
 3387 
 
 3610 
 
 3834 
 
 4057 
 
 4281 
 
 4504 
 
 
 223 
 
 43 
 
 4728 
 
 4952 
 
 5175 
 
 5399 
 
 5622 
 
 5845 
 
 6069 
 
 6292 
 
 6516 
 
 6739 
 
 
 [ 22 
 >. 45 
 5 67 
 
 44 
 
 6963 
 
 7186 
 
 7409 
 
 7633 
 
 7856 
 
 8079 
 
 8303 
 
 0526 
 
 8749 
 
 8973 
 
 
 45 
 
 9196 
 
 9419 
 
 9643 
 
 9866 
 
 0089 
 
 0312 
 
 0536 
 
 0759 
 
 0982 
 
 1205 
 
 223 t 
 i 
 
 1 89 
 
 46 
 
 28J1428 
 
 1652 
 
 1875 
 
 2098 
 
 2321 
 
 2544 
 
 2767 
 
 2990 
 
 3213 
 
 3436 
 
 ) 112 
 
 47 
 
 3660 
 
 3883 
 
 4106 
 
 4329 
 
 4552 
 
 4775 
 
 4998 
 
 5221 
 
 5444 
 
 5667 
 
 ) 134 
 156 
 
 48 
 
 5890 
 
 6112 
 
 6335 
 
 6558 
 
 6781 
 
 7004 
 
 7227 
 
 7450 
 
 7673 
 
 7896 
 
 E 
 
 178 
 
 49 
 
 N. 
 
 8118 
 
 8-341 
 
 8564 
 
 2 1 
 
 8787 
 
 3~ 
 
 9010 
 
 4 
 
 9232 
 
 5 
 
 9455 
 
 6 
 
 9678 
 
 7 
 
 9901 
 
 0123 
 
 c 
 
 D 
 
 201 
 
 Pts. 
 
 
 
 IT 
 
 8 1 
 
 9 
 
N. 19500 L. 290 OF NUMBERS. (25) 
 
 N. 
 
 1950 
 
 
 
 1 
 O5o9 
 
 ' 2 
 
 6792 
 
 3 
 
 4 
 
 1237 
 
 5 
 
 6 
 
 1682 
 
 7 
 
 1905 
 
 8 
 
 2127 
 
 9 
 
 2350 
 
 [) 
 
 Pro. 
 
 2900346 
 
 1014 
 
 1460 
 
 51 
 
 2573 
 
 2795 
 
 3018 
 
 3240 
 
 3463 
 
 3686 
 
 3908 
 
 4131 
 
 435 M 
 
 4576 
 
 
 222 
 
 52 
 
 4798 
 
 5021 
 
 5243 
 
 5466 
 
 5688 
 
 5910 
 
 6133 
 
 6355 
 
 6578 
 
 6800 
 
 
 1 '22 
 
 53 
 
 7022 
 
 7245 
 
 7467 
 
 7690 
 
 7912 
 
 8134 
 
 8356 
 
 8579 
 
 8801 
 
 9023 
 
 
 2 44 
 
 3 67 
 
 4 89 
 
 54 
 
 9246 
 
 9408 
 
 9690 
 
 9912 
 
 S135 
 
 0357 
 
 0579 
 
 0801 
 
 1023 
 
 1245 
 
 
 55 
 
 2911468 
 
 1690 
 
 1912 
 
 2134 
 
 2356 
 
 2578 
 
 2800 
 
 3022 
 
 3244 
 
 3466 
 
 
 5 111 
 
 56 
 
 3689 
 
 3911 
 
 4133 
 
 4355 
 
 4577 
 
 47 9& 
 
 5020 
 
 5242 
 
 5464 
 
 5686 
 
 222 
 
 6 133 
 
 7 155 
 
 8 178 
 
 51 
 
 5908 
 
 6130 
 
 6352 
 
 6574 
 
 6796 
 
 7018 
 
 7240 
 
 7461 
 
 7683 
 
 7905 
 
 
 58 
 
 8127 
 
 8349 
 
 8570 
 
 8792 
 
 9014 
 
 9236 
 
 9458 
 
 9679 
 
 9901 
 
 0123 
 
 
 9 200 
 
 59 
 
 2920344 
 
 0566 
 
 0788 
 
 1009 
 
 1231 
 
 1453 
 
 1674 
 
 1896 
 
 2118 
 
 2339 
 
 
 
 1960 
 
 2561/ 
 477 d 
 
 '2782 
 
 3004 
 
 3225 
 
 3447 
 
 3668 
 
 3890 
 
 4111 
 
 4333 
 
 4554 
 
 
 
 61 
 
 4997 
 
 5219 
 
 5440 
 
 5662 
 
 5883 
 
 6105 
 
 6326 
 
 6547 
 
 6769 
 
 
 221 
 
 62 
 
 6990 
 
 7211 
 
 7433 
 
 7654 
 
 7875 
 
 8097 
 
 8318 
 
 8539 
 
 8760 
 
 8982 
 
 
 1 22 
 
 63 
 
 9203 
 
 9424 
 
 9645 
 
 9867 
 
 SO88 
 
 0309 
 
 0530 
 
 0751 
 
 0973 
 
 1194 
 
 
 2 44 
 
 64 
 
 2931415 
 
 1636 
 
 1857 
 
 2078 
 
 2299 
 
 2520 
 
 2741 
 
 2962 
 
 3183 
 
 3405 
 
 
 3 66 
 
 4 88 
 
 ()5 
 
 3626 
 
 3847 
 
 4068 
 
 4289 
 
 4510 
 
 4730 
 
 4951 
 
 5172 
 
 5393 
 
 5614 
 
 221 
 
 5 111 
 
 m 
 
 5835 
 
 6056 
 
 6277 
 
 6498 
 
 6719 
 
 6940 
 
 7160 
 
 7381 
 
 7602 
 
 7823 
 
 
 6 133 
 
 67 
 
 8044 
 
 8264 
 
 8485 
 
 8706 
 
 8927 
 
 9147 
 
 9368 
 
 9589 
 
 9810 
 
 0030 
 
 
 7 155 
 2 177 
 9 199 
 
 68 
 
 294025 1 
 
 0472 
 
 0692 
 
 0913 
 
 1134 
 
 1354 
 
 1575 
 
 1795 
 
 2016 
 
 2237 
 
 
 69 
 
 2457 
 
 2678 
 
 2898 
 
 3119 
 
 3339 
 
 3560 
 
 3780 
 
 4001 
 
 4221 
 
 4442 
 
 
 
 1970 
 
 4662 
 
 4883 
 
 5103 
 
 5324 
 
 5544 
 
 5764 
 
 5985 
 
 6205 
 
 6426 
 
 6646 
 
 
 
 71 
 
 6866 
 
 7087 
 
 7307 
 
 7527 
 
 7748 
 
 7968 
 
 8188|8408 
 
 8629 
 
 8849 
 
 
 220 
 
 72 
 
 9069 
 
 9289 
 
 9510 
 
 9730 
 
 9950 
 
 0170 
 
 0390i06lO 
 
 0831 
 
 1051 
 
 
 1 22 
 
 73 
 
 2951271 
 
 1491 
 
 1711 
 
 1931 
 
 2151 
 
 2371 
 
 2591 
 
 2811 
 
 3031 
 
 3251 
 
 220 
 
 2 44j 
 
 74 
 
 3471 
 
 3691 
 
 3911 
 
 4131 
 
 4351 
 
 4571 
 
 4791 
 
 5011 
 
 5231 
 
 5451 
 
 
 3 66 
 
 4 88 
 5110 
 
 75 
 
 5671 
 
 5891 
 
 6111 
 
 6331 
 
 6550 
 
 6770 
 
 6990 
 
 7210 
 
 7430 
 
 7650 
 
 
 76 
 
 7869 
 
 8089 
 
 8309 
 
 8529 
 
 8748 
 
 8908 
 
 9188 
 
 9408 
 
 9627 
 
 9847 
 
 
 6 132 
 
 77 
 
 2960067 
 
 0286 
 
 0506 
 
 0726 
 
 0945 
 
 1165 
 
 1385 
 
 1604 
 
 1S24 
 
 2043 
 
 
 7 154 
 
 78 
 
 2263 
 
 2432 
 
 2702 
 
 2922 
 
 3141 
 
 3361 
 
 3580 
 
 3800 
 
 4019 
 
 4238 
 
 
 8 176 
 
 9 198 
 
 79 
 
 4458 
 
 4677 
 
 4897 
 
 5116 
 
 5336 
 
 5555 
 
 5774 
 
 5994 
 
 6213 
 
 6433 
 
 
 1980 
 
 6652 
 
 6871 
 
 7091 
 
 7310 
 
 7529 
 
 7748 
 
 7968 
 
 8187 
 
 8406 
 
 8626 
 
 
 
 81 
 
 8845 
 
 9064 
 
 9283 
 
 9502 
 
 9722 
 
 9941 
 
 DI6O 
 
 0379 
 
 0598 
 
 0817 
 
 
 219 
 1 22 
 
 82 
 
 2971037 
 
 1256 
 
 1475 
 
 1694 
 
 1913 
 
 2132 
 
 2351 
 
 2570 
 
 2789 
 
 3008 
 
 219 
 
 83 
 
 3227 
 
 3446 
 
 3665 
 
 3884 
 
 4103 
 
 4322 
 
 4511 
 
 4760 
 
 4979 
 
 5198 
 
 2 44 
 
 84 
 
 5417 
 
 5636 
 
 5854 
 
 6073 
 
 6292 
 
 6511 
 
 6730 
 
 6949 
 
 7168 
 
 7386 
 
 
 3 66 
 
 85 
 
 7605 
 
 7824 
 
 8043 
 
 8261 
 
 8480 
 
 8699 
 
 8918 
 
 9136 
 
 9355 
 
 9574 
 
 
 4 88 
 
 5 110 
 
 86 
 
 9792 
 
 Ooii 
 
 0230 
 
 0448 
 
 0667 
 
 0886 
 
 1104 
 
 1323 
 
 1542 
 
 1760 
 
 
 6 131 
 
 87 
 
 2981979 
 
 2197 
 
 2416 
 
 2634 
 
 2853 
 
 3071 
 
 3290 
 
 3508 
 
 3727 
 
 3945 
 
 
 7 163 
 
 88 
 
 4164 
 
 4382 
 
 4601 
 
 4819 
 
 5038 
 
 5256 
 
 5474 
 
 5693 
 
 5911 
 
 6129 
 
 
 8 175 
 
 89 
 
 6348 
 
 6566 
 
 6785 
 
 7003 
 
 7221 
 
 7439 
 
 7658 
 
 7876 
 
 8094 
 
 8313 
 
 
 9 197 
 
 1990 
 
 8531 
 
 87 49 
 
 8967 
 
 9185 
 
 9404 
 
 9622 
 
 9840 
 
 0058 
 
 0276 
 
 0494 
 
 
 
 91 
 
 29907 13 
 
 0931 
 
 1149 
 
 13t)7 
 
 1585 
 
 1803 
 
 2021 
 
 2239 
 
 2457 
 
 2675 
 
 
 218 
 
 1 22 
 
 2 44 
 
 92 
 
 2893 
 
 3111 
 
 3329 
 
 3547 
 
 3765 
 
 3983 
 
 4201 
 
 4419 
 
 4637 
 
 4855 
 
 218 
 
 93 
 
 5073 
 
 5291 
 
 5509 
 
 5727 
 
 5945 
 
 6162 
 
 6380 
 
 659S 
 
 6816 
 
 7034 
 
 
 94 
 
 7252 
 
 7469 
 
 7687 
 
 7905 
 
 8123 
 
 8340 
 
 8558 
 
 8776 
 
 8994 
 
 9211 
 
 
 3 65 
 
 95 
 
 9429 
 
 9647 
 
 9864 
 
 0082 
 
 0300 
 
 0517 
 
 0735 
 
 0953 
 
 1170 
 
 1388 
 
 
 4 87 
 
 5 109 
 
 6 131 
 
 96 
 
 3001605 
 
 1823 
 
 2041 
 
 2258 
 
 2476 
 
 2693 
 
 2911 
 
 3128 
 
 3346 
 
 3563 
 
 
 97 
 
 3781 
 
 3998 
 
 4216 
 
 4433 
 
 4650 
 
 4868 
 
 5085 
 
 5303 
 
 5520 
 
 5737 
 
 
 7 153 
 
 98 
 
 5935 
 
 6172 
 
 6390 
 
 6607 
 
 6824 
 
 7042 
 
 7259 
 
 7476 
 
 7693 
 
 7911 
 
 
 a 174 
 
 99 
 
 N. 
 
 8128 
 
 8345 
 1 
 
 8562 
 2 
 
 8780 
 
 3 
 
 8997 
 
 4 
 
 9214 
 5 
 
 9431 
 6' 
 
 9648 
 
 7 
 
 9866 
 
 8 
 
 (5083 
 
 9 
 
 D 
 
 9 196 
 Pts. 
 
 
 
 2ii 
 
(!^6) 
 
 LOGARITHMS N. 20000 L.301 | 
 
 N. 
 
 2000 
 
 
 
 1 
 
 0517 
 
 0734 
 
 3 
 
 0951 
 
 4 
 
 1168 
 
 5 
 
 1386 
 
 6' 
 
 1603 
 
 7 
 
 1 820 
 
 8 
 
 2037 
 
 2234 
 
 ID 
 
 l»ro. 
 
 3010300 
 
 01 
 
 2471 
 
 2688 
 
 2905 
 
 3122 
 
 3339 
 
 3556 
 
 3773 
 
 3<^90 
 
 4207 
 
 44'.^ 4 
 
 217 
 
 217 
 
 02 
 
 4641 
 
 4858 
 
 5075 
 
 5291 
 
 5508 
 
 5725 
 
 "^942 
 
 6159 
 
 OS 7 6 
 
 65)3 
 
 
 I 22 
 
 03 
 
 6809 
 
 7026 
 
 7243 
 
 7460 
 
 7677 
 
 7893 
 
 8110 8327 
 
 8544 
 
 8700 
 
 
 2 43 
 
 3 65 
 
 4 87 
 
 04 
 
 8977 
 
 9194 
 
 9411 
 
 9627 
 
 9844 
 
 0061 
 
 0277 0494 
 
 0711 
 
 0927 
 
 
 0.5 
 
 3021144 
 
 1360 
 
 1577 
 
 1794 
 
 2010 
 
 2227 
 
 2443 2660 
 
 2876 
 
 3093 
 
 
 5 109 
 
 06 
 
 3309 
 
 352«6 
 
 3742 
 
 3959 
 
 4175 
 
 4392 
 
 4608 
 
 •1825 
 
 5041 
 
 5237 
 
 
 6 130 
 
 7 152 
 
 8 174 
 
 07 
 
 5474 
 
 5690 
 
 5906 
 
 6123 
 
 6339 
 
 Q55Q 
 
 6772 
 
 6988 
 
 7204 
 
 7421 
 
 
 08 
 
 7637 
 
 7853 
 
 8070 
 
 8286 
 
 8502 
 
 8718 
 
 8935 
 
 9151 
 
 9367 
 
 9583 
 
 
 9 195 
 
 09 
 
 9799 
 
 U016 
 
 0232 
 
 0448 
 
 0664 
 
 0880 
 
 1096 
 
 1312 
 
 1328 
 
 17^5 
 
 216 
 
 
 2010 
 
 303 1 96 1 
 
 2177 
 
 2393 
 
 2609 
 
 2825 
 
 3041 
 
 3257 
 
 3473 
 
 3689 
 
 3905 
 
 
 11 
 
 4121 
 
 4337 
 
 4553 
 
 4769 
 
 4984 
 
 3200 
 
 5416 
 
 3632 
 
 3848 
 
 0064 
 
 
 216 
 
 12 
 
 6280 
 
 6496 
 
 6711 
 
 6927 
 
 7143 
 
 7359 
 
 7575 
 
 7790 
 
 8006 
 
 8222 
 
 
 1 22 
 
 13 
 
 8438 
 
 8653 
 
 8869 
 
 9085 
 
 9301 
 
 9516 
 
 9732 
 
 9948 
 
 0163 
 
 0379 
 
 
 2 43 
 
 14- 
 
 3040595 
 
 0810 
 
 1026 
 
 1242 
 
 1437 
 
 1673 
 
 1888 
 
 2104 
 
 2319 
 
 2533 
 
 
 3 65 
 
 4 86 
 
 15 
 
 2751 
 
 2966 
 
 3182 
 
 3397 
 
 3613 
 
 38-28 
 
 4043 
 
 4259 
 
 4474 
 
 4690 
 
 
 5 108 
 
 16 
 
 4905 
 
 5121 
 
 5^3Q 
 
 5532 
 
 5767 
 
 5982 
 
 6198 
 
 6413 
 
 6628 
 
 0844 
 
 
 6 130 
 
 7 151 
 
 8 173 
 
 9 194 
 
 17 
 
 7059 
 
 7274 
 
 7490 
 
 7705 
 
 7g20 
 
 8135 
 
 8351 
 
 8566 
 
 8781 
 
 8996 
 
 
 IS 
 
 9212 
 
 n r\ ^ t r% a f\ 
 
 9427 
 
 9642 
 
 9857 
 
 0072 
 2224 
 
 0288 
 
 0503 
 
 0718 
 
 0935 
 
 i 148 
 
 
 19 
 
 3051363 
 
 1578 
 
 1793 
 
 2008 
 
 2439 
 
 2654 
 
 2869 
 
 3084 
 
 3299 
 
 
 
 2020 
 
 3514 
 
 3729 
 
 3944 
 
 4159 
 
 4374 
 
 4589 
 
 4803 
 
 5018 
 
 5233 
 
 S448 
 
 215 
 
 
 21 
 
 5663 
 
 5878 
 
 6093 
 
 6308 
 
 6523 
 
 6737 
 
 6952 
 
 7167 
 
 7382 
 
 7597 
 
 
 215 
 
 22 
 
 7812 
 
 8026 
 
 8241 
 
 8456 
 
 8671 
 
 8885 
 
 9100 
 
 9315 
 
 9529 
 
 9744 
 
 
 1 22 
 
 23 
 
 9959 
 
 0174 
 
 0388 
 
 0603 
 
 0817 
 
 1032 
 
 1247 
 
 1461 
 
 1676 
 
 1891 
 
 
 2 43 
 
 24 
 
 3062105 
 
 2320 
 
 2534 
 
 2749 
 
 2963 
 
 3478 
 
 3392 
 
 3607 
 
 3821 
 
 4036 
 
 
 3 65 
 
 4 86 
 
 5 108 
 
 25 
 
 4250 
 
 4465 
 
 4679 
 
 4894 
 
 5108 
 
 5322 
 
 5537 
 
 5751 
 
 5966 
 
 6180 
 
 
 26 
 
 6394 
 
 6609 
 
 6823 
 
 7037 
 
 7252 
 
 7466 
 
 7680 
 
 7895 
 
 8109 
 
 8323 
 
 
 6 129 
 
 27 
 
 8537 
 
 8752 
 
 8966 
 
 9180 
 
 9394 
 
 9609 
 
 9823 
 
 0037 
 
 0231 
 
 0465 
 
 
 7 151 
 
 8 172 
 
 9 194 
 
 28 
 
 3070680 
 
 0894 
 
 1108 
 
 1322 
 
 1536 
 
 1750 
 
 1 964 
 
 2178 
 
 2392 
 
 2606 
 
 214 
 
 29 
 
 2820 
 
 3035 
 
 3249 
 
 3463 
 
 3677 
 
 3891 
 
 4105 
 
 4319 
 
 4532 
 
 4746 
 
 
 
 2030 
 
 4960 
 
 5174 
 
 5388 
 
 5602 
 
 5816 
 
 6030 
 
 6244 
 
 6458 
 
 6672 
 
 6885 
 
 
 
 31 
 
 7099 
 
 7313 
 
 7527 
 
 7741 
 
 7954 
 
 8168 
 
 8382 
 
 8596 
 
 8810 
 
 9023 
 
 
 214 
 
 32 
 
 9237 
 
 9451 
 
 9664 
 
 9878 
 
 0092 
 
 0306 
 
 0519 
 
 0733 
 
 0947 
 
 1160 
 
 
 I 21 
 
 33 
 
 3081 37 4 
 
 1587 
 
 1801 
 
 2015 
 
 2228 
 
 2442 
 
 2655 
 
 2869 
 
 3082 
 
 3290 
 
 
 2 43 
 
 34 
 
 3509 
 
 3723 
 
 3936 
 
 4150 
 
 4303 
 
 4377 
 
 4790 
 
 5004 
 
 3217 
 
 5431 
 
 
 6 64 
 
 4 86 
 
 5 107 
 
 35 
 
 5644 
 
 5858 
 
 6071 
 
 6284 
 
 0498 
 
 6711 
 
 6924 
 
 7138 
 
 7351 
 
 7564 
 
 
 36 
 
 777S 
 
 7991 
 
 8204 
 
 8418 
 
 8031 
 
 8844 
 
 9037 
 
 9271 
 
 9484 
 
 9697 
 
 
 6 128 
 
 37 
 
 9910 
 
 0123 
 
 0337 
 
 0550 
 
 0763 
 
 0976 
 
 1189 
 
 1402 
 
 1616 
 
 1829 
 
 
 7 150 
 
 38 
 
 3092042 
 
 2255 
 
 2468 
 
 2681 
 
 2894 
 
 3107 
 
 3320 
 
 35S3 
 
 3746 
 
 3959 
 
 213 
 
 B 171 
 9 193 
 
 39 
 
 4172 
 
 43S5 
 
 4598 
 
 481 1 
 
 5024 
 
 5237 
 
 5450 
 
 3663 
 
 5876 
 
 0089 
 
 
 2040 
 
 6302 
 
 6515 
 
 6727 
 
 6940 
 
 7153 
 
 7366 
 
 7579 
 
 7792 
 
 8004 
 
 8217 
 
 
 
 41 
 
 8430 
 
 8643 
 
 8856 
 
 9068 
 
 9281 
 
 9494 
 
 9707 
 
 9919 
 
 0132 
 
 0345 
 
 
 213 
 
 1 21 
 
 2 43 
 
 42 
 
 3100557 
 
 0770 
 
 0983 
 
 1195 
 
 1408 
 
 1621 
 
 1833 
 
 2046 
 
 2238 
 
 2471 
 
 
 43 
 
 2684 
 
 2896 
 
 3109 
 
 3321 
 
 3534 
 
 3746 
 
 3939 
 
 4171 
 
 4384 
 
 4596 
 
 
 44 
 
 4809 
 
 5021 
 
 5234 
 
 5440 
 
 5Q59 
 
 5871 
 
 6084 
 
 6296 
 
 0508 
 
 6721 
 
 
 3 64 
 
 45 
 
 6933 
 
 7145 
 
 7358 
 
 7570 
 
 7783 
 
 7995 
 
 8207 
 
 8419 
 
 8632 
 
 8844 
 
 
 2 85 
 5 107 
 S 128 
 
 46 
 
 9056 
 
 9269 
 
 9481 
 
 9693 
 
 9905 
 
 0117 
 
 0.'^30 
 
 0542 
 
 0754 
 
 0966 
 
 
 47 
 
 3111178 
 
 1391 
 
 1603 
 
 1815 
 
 2027 
 
 2239 
 
 2451 
 
 2663 
 
 2875 
 
 3087 
 
 
 7 149 
 
 48 
 
 3300 
 
 3512 
 
 3724 
 
 3936 
 
 4148 
 
 4360 
 
 4572 
 
 4784 
 
 4996 
 
 5208 j 
 
 212 
 
 3 170 
 
 49 
 
 N. 
 
 5420 
 
 5632 
 
 5843 
 
 60.53 
 
 3 
 
 6267 
 
 6479 
 5 
 
 669 1 
 
 6 
 
 6903 
 
 7 
 
 7115 
 
 7327 
 
 D 
 
 i^.l92 
 
 Pts. 
 
 
 
 1 
 
 2 
 
 4 
 
 8 f 
 
 ,9 
 
N. £0,500 L.311 
 
 OF NUMBERS. 
 
 (27) 
 
 N. 
 
 2030 
 51 
 52 
 52> 
 54 
 
 55 
 56 
 51 
 
 5^ 
 59 
 
 2060 
 61 
 (>2 
 63 
 64 
 
 
 
 3117539 
 9657 
 
 3121774 
 3889 
 6004 
 8118 
 
 3 1 3023 I 
 2343 
 4454 
 6563 
 
 8672 
 3140780 
 
 . 2887 
 4992 
 7097 
 
 Q5 
 
 9201 
 
 QQ 
 
 3151303 
 
 67 
 
 •i^05 
 
 68 
 
 5505 
 
 69 
 
 7605 
 
 2070 
 
 9703 
 
 71 
 
 3161801 
 
 72 
 
 5898 
 
 73 
 
 5993 
 
 74 
 
 8088 
 
 75 
 
 3170181 
 
 76 
 
 2273 
 
 77 
 
 4365 
 
 78 
 
 6455 
 
 79 
 
 8545 
 
 2080 
 
 3180633 
 
 81 
 
 2721 
 
 82 
 
 4807 
 
 83 
 
 6893 
 
 84 
 
 8977 
 
 85 
 
 3191061 
 
 86 
 
 3143 
 
 87 
 
 5224 
 
 88 
 
 7305 
 
 89 
 
 9384 
 
 2090 
 
 3201463 
 
 91 
 
 3540 
 
 92 
 
 5617 
 
 93 
 
 7692 
 
 94 
 
 9767 
 
 95 
 
 3211840 
 
 96 
 
 3913 
 
 97 
 
 5984 
 
 98 
 
 8055 
 
 99 
 
 n: 
 
 3220124 
 
 
 
 1 
 
 7750 
 
 9868 
 
 1985 
 
 410 
 
 6216 
 
 8330 
 0442 
 2554 
 46(i5 
 6774 
 
 8883 
 0991 
 3097 
 5203 
 7307 
 
 941] 
 1513 
 3615 
 5715 
 7815 
 
 9913 
 2011 
 4107 
 6203 
 8297 
 0390 
 2483 
 4574 
 6664 
 8754 
 
 0842 
 2929 
 5016 
 7101 
 9186 
 
 1269 
 3351 
 5433 
 7513 
 9 5,} 2 
 
 1671 
 
 3748 
 5824 
 7900 
 9974 
 
 2048 
 4120 
 6191 
 8262 
 0331 
 
 I 1 
 
 7962 
 0080 
 2197 
 43 1 3 
 6427 
 
 8541 
 0054 
 2765 
 4876 
 6985 
 
 9094 
 1201 
 3308 
 5413 
 7518 
 
 9621 
 1724 
 3825 
 5925 
 8025 
 
 0123 
 2220 
 4317 
 6412 
 8506 
 
 0600 
 2692 
 4783 
 6873 
 8963 
 
 1051 
 3138 
 5224 
 7310 
 9394 
 
 1477 
 3559 
 5641 
 7721 
 9800 
 
 1878 
 3956 
 6032 
 8107 
 0182 
 
 2255 
 4327 
 6398 
 8469 
 0538 
 Q 
 
 3 
 
 8174 
 0292 
 2408 
 4524 
 
 6639 6850 
 
 8752 
 0865 
 2976 
 5087 
 7196 
 
 9305 
 1412 
 3518 
 5624 
 
 7728 
 
 9831 
 1934 
 4035 
 6135 
 8235 
 
 0333 
 2430 
 4526 
 6621 
 8716 
 
 0809 
 2901 
 4992 
 7082 
 9172 
 
 1260 
 3347 
 5433 
 7518 
 9602 
 
 1685 
 3768 
 
 5849 
 7929 
 0008 
 
 2086 
 4163 
 6240 
 8315 
 0389 
 
 2462 
 4534 
 6606 
 8676 
 0745 
 
 8386 
 0504 
 2620 
 4736 
 
 8964 
 1076 
 3187 
 5298 
 7407 
 
 9515 
 1623 
 
 3729 
 5834 
 7939 
 
 0042 
 2144 
 4245 
 6345 
 8444 
 
 0543 
 2640 
 4736 
 6831 
 
 8925 
 
 1018 
 3110 
 
 5201 
 7291 
 9380 
 
 1468 
 3556 
 5642 
 727 
 9811 
 
 1894 
 3976 
 6057 
 8137 
 0216 
 
 2294 
 4371 
 6447 
 8522 
 0596 
 
 2669 
 4742 
 6813 
 8883 
 0952 
 
 8598 
 0715 
 2832 
 4947 
 7061 
 
 9175 
 1287 
 3398 
 5509 
 7618 
 
 9726 
 1833 
 3*)40 
 6045 
 149 
 
 0252 
 2354 
 4455 
 6555 
 8654 
 
 0752 
 2849 
 4945 
 7040 
 9134 
 
 1227 
 3319 
 5410 
 7500 
 9589 
 1677 
 3764 
 5850 
 7935 
 0019 
 
 2102 
 4184 
 6265 
 8345 
 0424 
 
 2502 
 4579 
 6655 
 8730 
 0804 
 
 2877 
 4949 
 7020 
 9090 
 1159 
 
 6_ 
 
 8810|9021 
 
 0927 
 
 3043 
 
 5159 
 
 7273 
 
 9386 
 1498 
 3610 
 5720 
 7829 
 
 9937 0148 
 2044 2255 
 
 1139 
 3255 
 5370 
 
 7484 
 
 9597 
 1709 
 3821 
 5931 
 8040 
 
 4150 
 6255 
 8359 
 
 Oi62 
 2564 
 4665 
 6765 
 
 8864 
 
 0962 
 3059 
 5155 
 7250 
 9344 
 
 1437 
 3528 
 5619 
 7709 
 9798 
 
 1886 
 3973 
 6059 
 8143 
 0227 
 
 2310 
 4392 
 6473 
 8553 
 0632 
 
 2709 
 4786 
 6862 
 8937 
 1011 
 
 3084 
 5156 
 7227 
 9^97 
 1366 
 
 ~6~ 
 
 4361 
 6466 
 8570 
 
 0672 
 2774 
 
 4875 
 6975 
 9074 
 
 1172 
 3269 
 5364 
 7459 
 9553 
 1646 
 3738 
 5828 
 7918 
 0007 
 
 2095 
 4181 
 6267 
 8352 
 0436 
 
 2518 
 4600 
 6681 
 8761 
 0839 
 
 2917 
 4994 
 7070 
 9145 
 1218 
 
 3291 
 5363 
 7434 
 9504 
 1572 
 
 9 D Pro. 
 
 9233 
 1350 
 3466 
 5581 
 7696 
 
 9809 
 1921 
 4032 
 6142 
 8251 
 
 0358 
 2465 
 4571 
 6676 
 
 8780 
 
 0883 
 2985 
 5085 
 7185 
 9284 
 
 1382 
 3478 
 5574 
 7669 
 9762 
 
 1855 
 3947 
 6037 
 8127 
 0216 
 
 2303 
 4390 
 6476 
 8560 
 0644 
 
 2727 
 4808 
 6889 
 8969 
 1047 
 
 3125 
 5202 
 7277 
 9352 
 1426 
 
 3498 
 5570 
 7641 
 9711 
 1779 
 
 9445 
 1562 
 3678 
 5793 
 7907 
 
 0020 
 2132 
 4243 
 6353 
 8461 
 
 0569 
 2676 
 4782 
 6887 
 S990 
 
 1093 
 3195 
 5295 
 7395 
 9494 
 
 1591 
 
 3688 
 5784 
 7878 
 9972 
 
 2064 
 4156 
 6246 
 8336 
 0425 
 2512 
 4599 
 6684 
 8769 
 0852 
 
 2935 
 5016 
 7097 
 9176 
 1255 
 
 3333 
 5409 
 7485 
 9559 
 1633 
 
 3706 
 5777 
 
 7848 
 9917 
 1986 
 
 211 
 
 210 
 
 209 
 
 208 
 
 207 
 
 D 
 
 2E2 
 
(^8) 
 
 LOGARITHMS N. 21000 L. m'l\ 
 
 N. 
 
 2100 
 
 
 
 1 
 
 2400 
 
 2 
 2607 
 
 3 
 
 2813 
 
 4 
 
 3020 
 
 5 
 
 3227 
 
 6 
 
 7 
 
 3640 
 
 8 9 
 
 1) 
 
 Pro. 
 
 322-21 9. S 
 
 3434 
 
 3847 
 
 4054 
 
 01 
 
 4261 
 
 4467 
 
 4674 
 
 4881 
 
 5087 
 
 5294 
 
 5501 
 
 5707 
 
 5914 
 
 6121 
 
 
 
 02 
 
 6327 
 
 6534 
 
 6740 
 
 6947 
 
 7153 
 
 7360 
 
 7567 
 
 7773 
 
 7980 
 
 8186 
 
 
 207 
 
 03 
 
 8393 
 
 8599 
 
 8806 
 
 9012 
 
 92ly 
 
 9425 
 
 9632 
 
 9838 
 
 0045 
 
 0251 
 
 
 1 21 
 
 2 41 
 
 3 62 
 
 04- 
 
 3230457 
 
 0664 
 
 0870 
 
 1077 
 
 1283 
 
 1489 
 
 1696 
 
 1902 
 
 2108 
 
 2315 
 
 
 03 
 
 2521 
 
 2727 
 
 2934 
 
 3140 
 
 3346 
 
 3552 
 
 3759 
 
 3965 
 
 4171 
 
 4377 
 
 
 4 83 
 
 06 
 
 4584 
 
 4790 
 
 4996 
 
 5202 
 
 5408 
 
 5615 
 
 5821 
 
 6027 
 
 6233 
 
 6439 
 
 
 h 104 
 
 6 124 
 
 7 145 
 
 07 
 
 6645 
 
 6851 
 
 7058 
 
 7264 
 
 7470 
 
 7676 
 
 7882 
 
 8088 
 
 8294 
 
 8500 
 
 
 08 
 
 8706 
 
 8912 
 
 9118 
 
 9324 
 
 9530 
 
 9736 
 
 9942 
 
 0148 
 
 0354 
 
 0560 
 
 206 
 
 8 166 
 
 09 
 
 3240766 
 
 0972 
 
 1178 
 
 1384 
 
 1589 
 
 1795 
 
 2001 
 
 2207 
 
 2413 
 
 2619 
 
 
 9 186 
 
 2110 
 
 2825 
 
 3030 
 
 3236 
 
 3442 
 
 3648 
 
 3854 
 
 4059 
 
 4265 
 
 4471 
 
 4677 
 
 
 
 11 
 
 4882 
 
 5088 
 
 5294 
 
 5499 
 
 5705 
 
 5911 
 
 6117 
 
 6322 
 
 6528 
 
 6734 
 
 
 
 12 
 
 6939 
 
 7145 
 
 7350 
 
 7556 
 
 7762 
 
 7967 
 
 8173 
 
 8378 
 
 8584 
 
 8789 
 
 
 206 
 
 13 
 
 8995 
 
 9201 
 
 9406 
 
 9612 
 
 9817 
 
 0023 
 
 0228 
 
 0433 
 
 0639 
 
 0844 
 
 
 1 21 
 J 41 
 3 62 
 
 14 
 
 3251050 
 
 .1255 
 
 1461 
 
 1666 
 
 1872 
 
 2077 
 
 -2282 
 
 2488 
 
 2693 
 
 2898 
 
 
 15 
 
 3104 
 
 3309 
 
 3514 
 
 3720 
 
 3925 
 
 4130 
 
 4336 
 
 4541 
 
 4746 
 
 4951 
 
 
 4 82 
 
 16 
 
 5157 
 
 5362 
 
 5567 
 
 5772 
 
 5978 
 
 6183 
 
 6388 
 
 6593 
 
 6798 
 
 7003 
 
 
 5 103 
 
 6 124 
 
 17 
 
 7209 
 
 7414 
 
 7619 
 
 7824 
 
 8029 
 
 8234 
 
 8439 
 
 8644 
 
 8849 
 
 9055 
 
 
 7 144 
 
 18 
 
 9260 
 
 9465 
 
 9670 
 
 9875 
 
 0080 
 
 0285 
 
 0490 
 
 0695 
 
 0900 
 
 1105 
 
 205 
 
 8 165 
 
 19 
 
 326I3IO 
 
 1515 
 
 1719 
 
 1924 
 
 2129 
 
 2334 
 
 2539 
 
 2744 
 
 2949 
 
 3154 
 
 9 185 
 
 2120 
 
 3359 
 
 3563 
 
 3768 
 
 3973 
 
 4178 
 
 4383 
 
 4588 
 
 4792 
 
 4997 
 
 5202 
 
 
 
 21 
 
 5407 
 
 5611 
 
 5816 
 
 6021 
 
 6226 
 
 6430 
 
 6635- 
 
 •6840 
 
 7044 
 
 7249 
 
 
 
 22 
 
 7454 
 
 7658 
 
 7863 
 
 8068. 
 
 8272 
 
 8477 
 
 8682 
 
 8886 
 
 9091 
 
 9295 
 
 
 205 
 
 23 
 
 9500 
 
 9705 
 
 9909 
 
 0114 
 
 0318 
 
 0523 
 
 0727 
 
 0932 
 
 113(? 
 
 1341 
 
 
 1 21 
 
 24 
 
 3271545 
 
 1750 
 
 19^4 
 
 2158 
 
 2363: 
 
 2567 
 
 2772 
 
 2976 
 
 3181 
 
 3385 
 
 
 2 41 
 
 3 62 
 
 25 
 
 3589 
 
 3794 
 
 3998 
 
 4202 
 
 44071 
 
 4611 
 
 4815 
 
 5020 
 
 5224 
 
 5428 
 
 
 4 82 
 
 26 
 
 5633 
 
 5837 
 
 6041 
 
 6245 
 
 645oi 
 
 6654 
 
 6858 
 
 7062 
 
 7267 
 
 7471 
 
 
 5 103 
 
 27 
 
 7675 
 
 7879 
 
 80S3 
 
 8287 
 
 8492 
 
 8696 
 
 8900 
 
 9104 
 
 9308 
 
 9512 
 
 
 S 123 
 7144 
 3 16*4 
 
 28 
 
 9716 
 
 9920 
 
 0124 
 
 0328 
 
 0533 
 
 0737 
 
 0941 
 
 1145 
 
 1349 
 
 1553 
 
 204 
 
 29 
 
 3281757 
 
 1961 
 
 2165 
 
 2369 
 
 2572 
 
 2776 
 
 2980 
 
 3184 
 
 3388 
 
 3592 
 
 
 9 185 
 
 2130 
 
 3796 
 
 4000 
 
 4204 
 
 4408 
 
 4612 
 
 4815 
 
 5019 
 
 5223 
 
 5427 
 
 5631 
 
 
 
 31 
 
 5834 
 
 6038 
 
 6242 
 
 6446 
 
 6650 
 
 6853 
 
 7057 
 
 7261 
 
 7465 
 
 7668 
 
 
 
 32 
 
 7872 
 
 8076 
 
 8279 
 
 8483 
 
 8687 
 
 8890 
 
 9094 
 
 9298 
 
 9501 
 
 9705 
 
 
 204 
 
 33 
 
 9909 
 
 0112 
 
 0316 
 
 0519 
 
 0723 
 
 0926 
 
 1130 
 
 1334 
 
 1537 
 
 1741 
 
 
 20 
 
 34 
 
 3291944 
 
 2148 
 
 2351 
 
 2555 
 
 2758 
 
 2962 
 
 3165 
 
 3369 
 
 3572 
 
 3775 
 
 
 i 41 
 i 6i 
 
 35 
 
 3979 
 
 4182 
 
 4386 
 
 4589 
 
 4792 
 
 4996 
 
 5199 
 
 5402 
 
 5606 
 
 5809 
 
 
 i 82 
 
 36 
 
 6012 
 
 6216 
 
 6419 
 
 6622 
 
 6826 
 
 7029 
 
 7232 
 
 7436 
 
 7639 
 
 7842 
 
 
 5 102 
 
 37 
 
 8045 
 
 8248 
 
 8452 
 
 8655 
 
 8858 
 
 9061 
 
 9264 
 
 9468 
 
 9671 
 
 9874 
 
 < 
 
 ; 122 
 M43 
 i 163 
 
 38 
 
 3300077 
 
 0280 
 
 0483 
 
 0686 
 
 0889 
 
 1093 
 
 1296 
 
 1499 
 
 1702 
 
 1905 
 
 203 l 
 
 39 
 
 2108 
 
 2311 
 
 2514 
 
 2717 
 
 2920 
 
 3123 
 
 3326 
 
 3529 
 
 3732 
 
 3935 
 
 i 
 
 ) 184 
 
 2140 
 
 4138 
 
 4341 
 
 4544 
 
 4747 
 
 4949 
 
 5152 
 
 5355 
 
 555S 
 
 5761 
 
 5964 
 
 
 
 41 
 
 6167 
 
 6370 
 
 6572 
 
 6775 
 
 6978 
 
 7181 
 
 7384 
 
 7586 
 
 7789 
 
 7992 
 
 
 
 42 
 
 8195 
 
 8397 
 
 8600 
 
 8803 
 
 9006 
 
 9208 
 
 9411 
 
 9614 
 
 9816 
 
 0019 
 
 
 203 
 
 43 
 
 3310222 
 
 0424 
 
 0627 
 
 0830 
 
 1032 
 
 1235 
 
 1437 
 
 1640 
 
 1843 
 
 2045 
 
 
 1 20 
 
 44 
 
 2248 
 
 2450 
 
 2653 
 
 2855 
 
 3058 
 
 3261 
 
 3463 
 
 3666 
 
 3868 
 
 4070 
 
 
 i 41 
 i 61 
 
 45 
 
 4273 
 
 4475 
 
 467-8 
 
 4880 
 
 5083 
 
 5285 
 
 5488 
 
 5690 
 
 5892 
 
 6095 
 
 
 1 81 
 
 4f) 
 
 6297 
 
 6500 
 
 6702 
 
 6904 
 
 7107 
 
 7309 
 
 7511 
 
 7714 
 
 7916 
 
 8118 
 
 
 5 102 
 
 47 
 
 8320 
 
 8523 
 
 8725 
 
 8927 
 
 9129 
 
 9332 
 
 9534 
 
 9736 
 
 9938 
 
 0141 
 
 
 3 122 
 7 142 
 3 162 
 
 48 
 
 3320343 
 
 0545 
 
 0747 
 
 0949 
 
 1151 
 
 1354 
 
 1556 
 
 1758 
 
 1960 
 
 2162 
 
 
 49 
 
 2364 
 
 2566 
 
 r 
 
 2768 
 2 
 
 2970 
 
 3 
 
 3172 
 
 4 
 
 3374 
 
 5 
 
 3577 
 
 6 
 
 3779 
 7 
 
 3981 
 
 4183 
 
 202 « 
 
 D 
 
 ) 183 
 
 Pts. 
 
 N. 
 
 
 
 8 
 
 9 
 
N. 21500 L.332 OF NUMBERS. (29) 
 
 N. 
 
 21.50 
 
 
 
 1 
 
 4587 
 
 2 
 
 4789 
 
 3 
 
 4991 
 
 4 
 
 5193 
 
 5 
 
 5394 
 
 6 
 
 5596 
 
 7 
 
 5798 
 
 8 
 
 6000 
 
 9 
 
 6202 
 
 D 
 
 202 
 
 Pro. 
 
 3324385 
 
 51 
 
 6404 
 
 6606 
 
 6808 
 
 7010 
 
 7212 
 
 7414 
 
 7615 
 
 7817 
 
 8019 
 
 8221 
 
 
 
 52 
 
 8423 
 
 8624 
 
 8826 
 
 9028 
 
 9230 
 
 9432 
 
 9633 
 
 9835 
 
 0037 
 
 0239 
 
 
 202 
 
 53 
 
 33304^0 
 
 0642 
 
 0844 
 
 1045 
 
 1247 
 
 1449 
 
 1650 
 
 J 852 
 
 2054 
 
 2255 
 
 
 I 20 
 
 54 
 
 2457 
 
 2659 
 
 2860 
 
 3062 
 
 3263 
 
 3465 
 
 3667 
 
 3868 
 
 4070 
 
 4271 
 
 
 2 40 
 
 3 6'1 
 
 55 
 
 4473 
 
 4674 
 
 4876 
 
 5077 
 
 5279 
 
 5480 
 
 5682 
 
 5883 
 
 6085 
 
 6286 
 
 
 4 81 
 
 56 
 
 6488 
 
 6689 
 
 6890 
 
 7092 
 
 7293 
 
 7495 
 
 7696 
 
 7897 
 
 8099 
 
 8300 
 
 
 s'loi 
 
 57 
 
 8501 
 
 8703 
 
 8904 
 
 9105 
 
 9307 
 
 9508 
 
 9709 
 
 9911 
 
 0112 
 
 0313 
 
 
 6 121 
 
 7 141 
 
 8 162 
 
 58 
 
 3340514 
 
 0716 
 
 0917 
 
 1118 
 
 1319 
 
 1521 
 
 1722 
 
 1923 
 
 2124 
 
 2325 
 
 
 59 
 
 2526 
 
 2728 
 
 2929 
 
 3130 
 
 3331 
 
 3532 
 
 3733 
 
 3934 
 
 4135 
 
 4336 
 
 
 9,182 
 
 2160 
 
 4538 
 
 4739 
 
 4940 
 
 5141 
 
 5342 
 
 5543 
 
 5744 
 
 5945 
 
 6146 
 
 6347 
 
 201 
 
 
 61 
 
 6548 
 
 6749 
 
 6950 
 
 7151 
 
 7351 
 
 7552 
 
 7753 
 
 7954 
 
 8155 
 
 8356 
 
 
 
 62 
 
 ■ 8557 
 
 8758 
 
 8959 
 
 9159 
 
 9360 
 
 9561 
 
 9762 
 
 9963 
 
 0164 
 
 0364 
 
 
 201 
 
 63 
 
 3350565 
 
 0766 
 
 0967 
 
 1168 
 
 1368 
 
 1569 
 
 1770 
 
 1970 
 
 2171 
 
 2372 
 
 
 1 20 
 
 64 
 
 2573 
 
 2773 
 
 2974 
 
 3175 
 
 3375 
 
 3576 
 
 3777 
 
 3977 
 
 4178 
 
 4378 
 
 
 2 40 
 
 65 
 
 4579 
 
 4780 
 
 4980 
 
 5181 
 
 5381 
 
 5582 
 
 5782 
 
 5983 
 
 6183 
 
 6384 
 
 
 3 60 
 
 4 80 
 
 66 
 
 6585 
 
 6785 
 
 6986 
 
 7186 
 
 7386 
 
 7587 
 
 7787 
 
 7988 
 
 8188 
 
 8389 
 
 
 5 101 
 
 67 
 
 - 8589 
 
 8790 
 
 8990 
 
 9190 
 
 9391 
 
 9591 
 
 9791 
 
 9992 
 
 0192 
 
 0392 
 
 
 6 121 
 
 68 
 
 3360593 
 
 0793 
 
 0993 
 
 1194 
 
 1394 
 
 1594 
 
 1795 
 
 1995 
 
 2195 
 
 2395 
 
 
 7 141 
 
 69 
 
 2596 
 
 2796 
 
 2996 
 
 3196 
 
 3396 
 
 3597 
 
 3797 
 
 3997 
 
 4197 
 
 4397 
 
 
 8 l6l 
 
 9 181 
 
 2170 
 
 4597. 
 
 4797 
 
 4998 
 
 5198 
 
 5398 
 
 5598 
 
 5798 
 
 5998 
 
 6198 
 
 6398 
 
 
 
 71 
 
 6598 
 
 6798 
 
 6998 
 
 7198 
 
 7398 
 
 7598 
 
 7798 
 
 7998 
 
 8198 
 
 8398 
 
 200 
 
 
 72 
 
 8598 
 
 8798 
 
 8998 
 
 9198 
 
 9398 
 
 9598 
 
 9798 
 
 9998 
 
 0198 
 
 0397 
 
 
 200 
 
 73 
 
 3370597 
 
 0797 
 
 0997 
 
 1197 
 
 1397 
 
 1596 
 
 1796 
 
 1996 
 
 2196 
 
 2396 
 
 
 1 20 
 
 74 
 
 2595 
 
 2795 
 
 2995 
 
 3195 
 
 3394 
 
 3594 
 
 3794 
 
 3994 
 
 4193 
 
 4393 
 
 
 2 40 
 
 3 60 
 
 4 80 
 
 75 
 
 4593 
 
 4792 
 
 4992 
 
 5192 
 
 5391 
 
 5591 
 
 5791 
 
 5990 
 
 6190 
 
 6389 
 
 
 76 
 
 6589 
 
 6788 
 
 6988 
 
 7188 
 
 7387 
 
 7587 
 
 7786 
 
 7986 
 
 8185 
 
 8385 
 
 
 5 100 
 
 77 
 
 8584 
 
 8784 
 
 8983 
 
 9183 
 
 9382 
 
 9582 
 
 9781 
 
 9981 
 
 0180 
 
 0379 
 
 
 6 120 
 
 78 
 
 3380579 
 
 0778 
 
 0978 
 
 1177 
 
 1376 
 
 1576 
 
 1775 
 
 1974 
 
 2174 
 
 2373 
 
 
 7 140 
 
 8 160 
 
 9 180 
 
 79 
 
 2572 
 
 2772 
 
 2971 
 
 3170 
 
 3369 
 
 3569 
 
 3768 
 
 3967 
 
 4166 
 
 4366 
 
 
 2180 
 
 4565 
 
 4764 
 
 4963 
 
 5163 
 
 5362 
 
 5561 
 
 5760 
 
 5959 
 
 6158 
 
 6358 
 
 
 
 81 
 
 6557 
 
 6756 
 
 6955 
 
 7154 
 
 7353 
 
 7552 
 
 7751 
 
 7950 
 
 8149 
 
 8348 
 
 199 
 
 
 82 
 
 8547 
 
 8746 
 
 8946 
 
 9145 
 
 9344 
 
 9543 
 
 9742 
 
 9940 
 
 0139 
 
 0338 
 
 199 
 
 83 
 
 3390537 
 
 0736 
 
 0935 
 
 1134 
 
 1333 
 
 1532 
 
 1731 
 
 1930 
 
 2129 
 
 2327 
 
 
 1 20 
 
 84 
 
 2526 
 
 2725 
 
 2924 
 
 3123 
 
 3322 
 
 3520 
 
 3719 
 
 3918 
 
 4117 
 
 4316 
 
 
 2 40 
 
 3 60 
 * 80 
 
 85 
 
 4514 
 
 4713 
 
 4912 
 
 5111 
 
 5309 
 
 5508 
 
 5707 
 
 5906 
 
 6104 
 
 6303 
 
 
 86 
 
 6502 
 
 6700 
 
 6899 
 
 7098 
 
 7296 
 
 7495 
 
 7693 
 
 7892 
 
 8091 
 
 8289 
 
 
 5 100 
 
 87 
 
 8488 
 
 8686 
 
 8885 
 
 9084 
 
 9282 
 
 9481 
 
 9679 
 
 9878 
 
 0076 
 
 0275 
 
 
 S119 
 ri39 
 3 159 
 9 179 
 
 88 
 
 3400473 
 
 0672 
 
 0870 
 
 1069 
 
 1267 
 
 1466 
 
 1664 
 
 1862 
 
 2061 
 
 2259 
 
 
 89 
 
 2458 
 
 2656 
 
 2854 
 
 3053 
 
 3251 
 
 3449 
 
 3648 
 
 3846 
 
 4045 
 
 4243 
 
 
 2190 
 
 4441 
 
 4639 
 
 4838 
 
 5036 
 
 5234 
 
 5433 
 
 5631 
 
 5829 
 
 6027 
 
 6226 
 
 ~ 
 
 
 91 
 
 6424 
 
 6622 
 
 6820 
 
 7018 
 
 7217 
 
 7415 
 
 7613 
 
 7811 
 
 8009 
 
 8207 
 
 
 
 92 
 
 8405 
 
 8604 
 
 8802 
 
 9000 
 
 9198 
 
 9396 
 
 9594 
 
 9792 
 
 9990 
 
 0188 
 
 
 198 
 
 93 
 
 3410386 
 
 0584 
 
 0782 
 
 0980 
 
 1178 
 
 1376 
 
 1574 
 
 1772 
 
 1970 
 
 2168 
 
 198 
 
 1 20 
 
 94 
 
 2366 
 
 2564 
 
 2762 
 
 2960 
 
 3158 
 
 3356 
 
 3554 
 
 3752 
 
 3950 
 
 4147 
 
 
 2 40 
 
 95 
 
 4345 
 
 4543 
 
 4741 
 
 4939 
 
 5137 
 
 5334 
 
 5532 
 
 5730 
 
 5928 6126 
 
 
 4 79 
 
 96 
 
 6323 
 
 6521 
 
 6719 
 
 6917 
 
 7114 
 
 7312 
 
 7510 
 
 7708 
 
 7905 8103 
 
 
 5 99 
 
 97 
 
 8301 
 
 8498 
 
 8696 
 
 8894 
 
 9091 
 
 9289 
 
 9486 
 
 9684 
 
 9882 0079 
 
 
 3119 
 
 M39 
 
 i 158 
 
 98 
 
 3420277 
 
 0474 
 
 0672 
 
 0870 
 
 1067 
 
 1265 
 
 1462 
 
 1660 
 
 1857 
 
 2055 
 
 
 99 
 
 2252 
 
 2450 
 1 
 
 2647 
 2 . 
 
 2845 
 
 3 
 
 3042 
 
 4 
 
 3240 
 
 5 
 
 3437 
 
 6 
 
 3635 
 
 7 
 
 3832 
 
 8 
 
 4029 
 
 9 
 
 D 
 
 }17S 
 Pts. 
 
 
 
(^0) 
 
 LOGARITHMS N 22000 I.. 342 
 
 N. 
 
 220C) 
 
 
 
 1 
 
 4424 
 
 2 
 4622 
 
 3 
 
 4819 
 
 4 
 
 5016 
 
 5 
 
 5214 
 
 5411 
 
 7 
 
 5608 
 
 8 
 
 5806 
 
 9 
 
 6003 
 
 1) 
 
 Pro. 
 
 3424227 
 
 01 
 
 6200 
 
 6398 
 
 6595 
 
 6792 
 
 6990 
 
 7187 
 
 7384 
 
 7581 
 
 7779 
 
 7976 
 
 
 
 02 
 
 8173 
 
 8370 
 
 8568 
 
 8765 
 
 8962 
 
 9 1 59 
 
 9356 
 
 9554 
 
 9751 
 
 9948 
 
 
 198 
 
 03 
 
 3430145 
 
 0342 
 
 0539 
 
 0736 
 
 0933 
 
 1131 
 
 1328 
 
 1525 
 
 1722 
 
 1919 
 
 
 1| 20 
 
 04 
 
 2116 
 
 2313 
 
 2510 
 
 2707 
 
 2904 
 
 3101 
 
 3298 
 
 3495 
 
 3692 
 
 3889 
 
 197 
 
 2 40 
 
 3| 59 
 
 . 05 
 
 4086 
 
 4283 
 
 4480 
 
 4677 
 
 4874 
 
 5071 
 
 5268 
 
 5464 
 
 5661 
 
 5858 
 
 
 4 79 
 
 06 
 
 6055 
 
 6252 
 
 6449 
 
 6646 
 
 6842 
 
 7039 
 
 7236 
 
 7433 
 
 7630 
 
 7827 
 
 
 5| 99 
 6119 
 7 139 
 
 > 07 
 
 8023 
 
 8220 
 
 8417 
 
 8614 
 
 8810 
 
 9007 
 
 9204 
 
 9401 
 
 9597 
 
 9794 
 
 
 08 
 
 9991 
 
 0187 
 
 0384 
 
 0581 
 
 0777 
 
 0974 
 
 1171 
 
 1367 
 
 1564 
 
 1761 
 
 
 8 168 
 
 09 
 
 3441957 
 
 2154 
 
 2350 
 
 2547 
 
 2743 
 
 2940 
 
 SI 37 
 
 3333 
 
 3530 
 
 3726 
 
 
 9 178 
 
 2210 
 
 3923 
 
 4119 
 
 4316 
 
 4512 
 
 4709 
 
 4905 
 
 5102 
 
 5298 
 
 5495 
 
 5691 
 
 
 
 11 
 
 5887 
 
 6084 
 
 6280 
 
 6477 
 
 6673 
 
 6869 
 
 7066 
 
 7262 
 
 7459 
 
 7655 
 
 
 
 12 
 
 7851 
 
 8048 
 
 8244 
 
 8440 
 
 '8636 
 
 8833 
 
 9029 
 
 9225 
 
 9422 
 
 9618 
 
 
 197 
 
 13 
 
 9814 
 
 0010 
 
 0207 
 
 0403 
 
 0599 
 
 0795 
 
 0991 
 
 1188 
 
 1384 
 
 1580 
 
 
 1 20 
 
 2 39 
 
 3 59 
 
 14 
 
 3451776 
 
 1972 
 
 2168 
 
 2365 
 
 ©561 
 
 2757 
 
 2953 
 
 3149 
 
 3345 
 
 3541 
 
 196 
 
 15 
 
 3737 
 
 3933 
 
 4129 
 
 4325 
 
 4522 
 
 4718 
 
 4914 
 
 5110 
 
 5306 
 
 5502 
 
 4 79 
 
 16 
 
 5698 
 
 5894 
 
 6090 
 
 6285 
 
 6481 
 
 6677 
 
 6873 
 
 7069 
 
 7265 
 
 7461 
 
 
 5 99 
 
 6 118 
 
 7 138 
 
 17 
 
 7657 
 
 7853 
 
 8049 
 
 8245 
 
 8440 
 
 8636 
 
 8832 
 
 9028 
 
 9224 
 
 9420 
 
 
 18 
 
 9615 
 
 9811 
 
 0007 
 
 0203 
 
 0399 
 
 0594 
 
 0790 
 
 0986 
 
 1182 
 
 1377 
 
 
 8 158 
 
 19 
 
 3461573 
 
 1769 
 
 1964 
 
 2160 
 
 2356 
 
 2551 
 
 2747 
 
 2943 
 
 3138 
 
 3334 
 
 
 9 177 ^ 
 
 2220 
 
 3530 
 
 3725 
 
 3921 
 
 4117 
 
 4312 
 
 4508 
 
 4703 
 
 4899 
 
 5094 
 
 5290 
 
 '■, 
 
 
 21 
 
 5486 
 
 5681 
 
 5877 
 
 6072 
 
 6268 
 
 6463 
 
 6659 
 
 6854 
 
 7050 
 
 7245 
 
 
 
 22 
 
 7441 
 
 7636 
 
 7§31 
 
 8027 
 
 8222 
 
 8418 
 
 8613 
 
 8808 
 
 9004 
 
 9199 
 
 
 196 
 
 23 
 
 9395 
 
 9590 
 
 9785 
 
 9981 
 
 0176 
 
 0371 
 
 0567 
 
 0762 
 
 0957 
 
 1153 
 
 
 11 20 
 
 24 
 
 3471348 
 
 1543 
 
 1738 
 
 1934 
 
 2129 
 
 2324 
 
 2519 
 
 2715 
 
 2910 
 
 3105 
 
 
 2 39 
 
 3 59 
 
 25 
 
 3,300 
 
 3495 
 
 3691 
 
 3886 
 
 4081 
 
 4276 
 
 4471 
 
 4666 
 
 4861 
 
 5056 
 
 
 4 78 
 
 26 
 
 5252 
 
 5447 
 
 5642 
 
 5837 
 
 6032 
 
 6227 
 
 6422 
 
 6617 
 
 6812 
 
 7007 
 
 195 
 
 5 98 
 
 27 
 
 7202 
 
 7397 
 
 7592 
 
 7787 
 
 7982 
 
 8177 
 
 8372 
 
 8567 
 
 8762 
 
 8957 
 
 
 6 118 
 
 7 137 
 
 i 157 
 
 28 
 
 9152 
 
 9347 
 
 9542 
 
 9737 
 
 9931 
 
 0126 
 
 0321 
 
 0516 
 
 0711 
 
 0906 
 
 
 29 
 
 3481101 
 
 1296 
 
 1490 
 
 1685 
 
 1880 
 
 2075 
 
 2270 
 
 2464 
 
 2659 
 
 2854 
 
 
 9 176 
 
 2230 
 
 3049 
 
 3243 
 
 3438 
 
 3633 
 
 3828 
 
 4022 
 
 4217 
 
 4412 
 
 4606 
 
 4801 
 
 
 
 31 
 
 4996 
 
 5190 
 
 5385 
 
 5580 
 
 5774 
 
 5969 
 
 6164 
 
 6358 
 
 6553 
 
 6747 
 
 
 
 32 
 
 6942 
 
 7136 
 
 7331 
 
 7526 
 
 7720 
 
 7915 
 
 8109 
 
 8304 
 
 8498 
 
 8693 
 
 
 195 
 
 33 
 
 8887 
 
 9082 
 
 9276 
 
 9471 
 
 9665 
 
 9860 
 
 0054 
 
 0248 
 
 0443 
 
 0637 
 
 
 1 20 
 
 34 
 
 3490832 
 
 1026 
 
 1220 
 
 1415 
 
 1609 
 
 1804 
 
 1998 
 
 2192 
 
 2387 
 
 2581 
 
 
 2 39 
 
 3 59 
 
 4 78 
 
 35 
 
 2775 
 
 2970 
 
 3164 
 
 3358 
 
 3552 
 
 3747 
 
 3941 
 
 4135 
 
 4330 
 
 4524 
 
 
 36 
 
 4718 
 
 4912 
 
 5106 
 
 5301 
 
 5495 
 
 5689 
 
 5883 
 
 6077 
 
 6272 
 
 6466 
 
 
 5 98 
 
 37 
 
 6660 
 
 6854 
 
 7048 
 
 7242 
 
 7436 
 
 7630 
 
 7825 
 
 8019 
 
 8213 
 
 8407 
 
 
 S1I7 
 
 7 137 
 
 8 156 
 
 38 
 
 8601 
 
 8795 
 
 8989 
 
 9183 
 
 9377 
 
 9571 
 
 9765 
 
 9959 
 
 0153 
 
 0347 
 
 194 
 
 39 
 
 3500541 
 
 0735 
 
 0929 
 
 1123 
 
 1317 
 
 1511 
 
 1705 
 
 1898 
 
 2092 
 
 2286 
 
 9 176 
 
 2240 
 
 2480 
 
 2674 
 
 2868 
 
 3062 
 
 3256 
 
 3449 
 
 3643 
 
 3837 
 
 4031 
 
 4225 
 
 
 
 41 
 
 4419 
 
 4612 
 
 4806 
 
 5000 
 
 5194 
 
 5387 
 
 5581 
 
 5775 
 
 5969 
 
 6162 
 
 
 
 42 
 
 6356 
 
 6550 
 
 6743 
 
 6937 
 
 7131 
 
 7325 
 
 7518 
 
 7712 
 
 7905 
 
 8099 
 
 
 194 
 
 43 
 
 8293 
 
 8486 
 
 8680 
 
 8874 
 
 9067 
 
 9261 
 
 9454 
 
 9648 
 
 9841 
 
 0035 
 
 
 1 19 
 
 44 
 
 3510229 
 
 0422 
 
 0616 
 
 0809 
 
 1003 
 
 1196 
 
 1390 
 
 1583 
 
 1777 
 
 1970 
 
 
 ^ 39 
 
 i 58 
 
 45 
 
 2163 
 
 2357 
 
 2550 
 
 2744: 
 
 2937 
 
 3131 
 
 3324 
 
 3517 
 
 3711 
 
 3904 
 
 
 4 78 
 
 46 
 
 4098 
 
 4291 
 
 4484 
 
 4678 
 
 4871 
 
 5064 
 
 5258 
 
 5451 
 
 5644 
 
 5837 
 
 
 E) 97 
 
 47 
 
 6031 
 
 6224 
 
 6417 
 
 6611 
 
 6804 
 
 6997 
 
 7190 
 
 7383 
 
 7577 
 
 7770 
 
 
 S 116 
 
 7 136 
 3 155 
 
 48 
 
 7963 
 
 8156 
 
 8349 
 
 8543 
 
 8736 
 
 8929 
 
 9122 
 
 9315 
 
 9508 
 
 9701 
 
 
 49 
 
 N. 
 
 9895 
 
 0088 
 1 
 
 0281 
 
 0474 
 
 0667 
 
 4 
 
 0860 
 
 ~5~ 
 
 1053 
 
 6 
 
 1246 
 
 ~7~ 
 
 1439 
 
 8 
 
 1632 
 
 9 
 
 193 J 
 
 D 
 
 1 175 
 Pts. 
 
 
 
 2 
 
 3 
 
N. 22500 L.352 OF NUMBERS. (31) 
 
 N. 
 
 2250 
 
 
 
 1 
 
 2018 
 
 2 
 
 2211 
 
 3 
 
 2404 
 
 4 
 
 2597 
 
 2790 
 
 6 
 
 2983 
 
 7 
 
 3176 
 
 8 
 
 3369 
 
 9 
 
 3562 
 
 D 
 
 193 
 
 Pro. 
 
 3521825 
 
 51 
 
 3755 
 
 3948 
 
 4141 
 
 4334 
 
 4527 
 
 4720 
 
 4912 
 
 5105 
 
 5298 
 
 5491 
 
 
 
 52 
 
 5684 
 
 5877 
 
 6070 
 
 6262 
 
 6455 
 
 6648 
 
 6841 
 
 7034 
 
 7226 
 
 7419 
 
 
 193 
 
 53 
 
 7612 
 
 7805 
 
 7997 
 
 8190 
 
 8383 
 
 8576 
 
 8768 
 
 8961 
 
 9154 
 
 9346 
 
 
 1 19 
 
 2 39 
 
 3 58 
 
 54 
 
 9539 
 
 9732 
 
 9924 
 
 0117 
 
 0310 
 
 0502 
 
 0695 
 
 0888 
 
 1080 
 
 1273 
 
 
 55 
 
 3531465 
 
 1658 
 
 1851 
 
 2043 
 
 2236 
 
 2428 
 
 2621 
 
 2813 
 
 3006 
 
 3198 
 
 
 4 77 
 
 56 
 
 3391 
 
 3583 
 
 3776 
 
 3968 
 
 4161 
 
 4353 
 
 4546 
 
 4738 
 
 4931 
 
 5123 
 
 
 5 97 
 6116 
 7 135 
 
 57 
 
 5316 
 
 5508 
 
 5700 
 
 5893 
 
 6085 
 
 6278 
 
 6470 
 
 6662 
 
 6S55 
 
 7047 
 
 
 58 
 
 7239 
 
 7432 
 
 7624 
 
 7816 
 
 8009 
 
 8201 
 
 8393 
 
 8586 
 
 8778 
 
 8970 
 
 
 8 154 
 
 59 
 
 9162 
 
 9355 
 
 9547 
 
 9739 
 
 9931 
 
 0123 
 
 0316 
 
 0508 
 
 0700 
 
 0892 
 
 
 9 174 
 
 2260 
 
 3541084 
 
 1277 
 
 1469 
 
 1661 
 
 1853 
 
 2045 
 
 2237 
 
 2429 
 
 2621 
 
 2814 
 
 
 
 61 
 
 3006 
 
 3198 
 
 3390 
 
 3582 
 
 3774 
 
 3966 
 
 4158 
 
 4350 
 
 4542 
 
 4734 
 
 192 
 
 
 62 
 
 4926 
 
 5118 
 
 5310 
 
 5502 
 
 5694 
 
 5886 
 
 6078 
 
 6270 
 
 6462 
 
 6654 
 
 192 
 
 63 
 
 6846 
 
 7037 
 
 7229 
 
 7421 
 
 7613 
 
 7805 
 
 7997 
 
 8189 
 
 8381 
 
 8572 
 
 
 1 19 
 
 2 38 
 
 3 58 
 
 64 
 
 8764 
 
 8956 
 
 9148 
 
 9340 
 
 9531 
 
 9723 
 
 9915 
 
 0107 
 
 0299 
 
 0490 
 
 
 65 
 
 3550682 
 
 0874 
 
 1066 
 
 1257 
 
 1449 
 
 1641 
 
 1832 
 
 2024 
 
 2216 
 
 2407 
 
 
 4 77 
 
 5 96 
 
 6 1 15 
 
 66 
 
 2599 
 
 2791 
 
 2982 
 
 3174 
 
 3366 
 
 3557 
 
 3749 
 
 3940 
 
 4132 
 
 4324 
 
 
 67 
 
 4515 
 
 4707 
 
 4898 
 
 5090 
 
 5281 
 
 5473 
 
 5664 
 
 5856 
 
 6048 
 
 6239 
 
 
 7 134 
 
 68 
 
 6431 
 
 6622 
 
 6813 
 
 7005 
 
 7196 
 
 7388 
 
 7579 
 
 7771 
 
 7962 
 
 8154 
 
 
 8 154 
 
 69 
 
 8345 
 
 8536 
 
 8728 
 
 8919 
 
 9111 
 
 9302 
 
 94.93 
 
 9685 
 
 9376 
 
 0067 
 
 
 9il73 
 
 2270 
 
 3560259 
 
 0450 
 
 0641 
 
 0832 
 
 1024 
 
 1215 
 
 1406 
 
 1598 
 
 1789 
 
 1980 
 
 
 
 71 
 
 2171 
 
 2363 
 
 2554 
 
 2745 
 
 2936 
 
 3127 
 
 3319 
 
 3510 
 
 3701 
 
 3892 
 
 
 
 72 
 
 4083 
 
 4274 
 
 4466 
 
 4657 
 
 4848 
 
 5039 
 
 5230 
 
 5421 
 
 5612 
 
 5803 
 
 
 191 
 
 73 
 
 5994 
 
 6185 
 
 6376 
 
 6568 
 
 6759 
 
 6950 
 
 7141 
 
 7332 
 
 7523 
 
 7714 
 
 191 
 
 1 19 
 
 74 
 
 7905 
 
 8096 
 
 8287 
 
 8178 
 
 8668 
 
 8859 
 
 9050 
 
 9241 
 
 9432 
 
 9623 
 
 
 2 38 
 
 3 57 
 
 75 
 
 9814 
 
 0005 
 
 0196 
 
 0387 
 
 0578 
 
 0768 
 
 0959 
 
 1150 
 
 1341 
 
 1532 
 
 
 4 7G 
 
 76 
 
 3571723 
 
 1913 
 
 2104 
 
 2295 
 
 2486 
 
 2677 
 
 2867 
 
 3058 
 
 3249 
 
 3440 
 
 
 5 96 
 
 77 
 
 3630 
 
 3821 
 
 4012 
 
 4202 
 
 4393 
 
 4584 
 
 4775 
 
 4965 
 
 5156 
 
 5347 
 
 
 6 115 
 
 7 134 
 
 8 153 
 
 78 
 
 5537 
 
 5728 
 
 5918 
 
 6109 
 
 6300 
 
 6490 
 
 6681 
 
 6872 
 
 7062 
 
 7253 
 
 
 79 
 
 7443 
 
 7634 
 
 7824 
 
 8015 
 
 8205 
 
 8396 
 
 8586 
 
 8777 
 
 8967 
 
 9158 
 
 
 9 172 
 
 2280 
 
 9348 
 
 9539 
 
 9729 
 
 9920 
 
 0110 
 
 0301 
 
 0491 
 
 0682 
 
 0872 
 
 1062 
 
 
 
 81 
 
 3581253 
 
 1443 
 
 1634 
 
 1824 
 
 2014 
 
 2205 
 
 2395 
 
 2585 
 
 2776 
 
 2966 
 
 
 
 82 
 
 3156 
 
 3347 
 
 3537 
 
 3727 
 
 3918 
 
 4108 
 
 4298 
 
 4438 
 
 4679 
 
 4869 
 
 
 I 90 
 
 83 
 
 5059 
 
 5249 
 
 5440 
 
 5630 
 
 5820 
 
 6010 
 
 6200 
 
 6391 
 
 6581 
 
 6771 
 
 
 1 19 
 
 84 
 
 6961 
 
 7151 
 
 7341 
 
 7531 
 
 7722 
 
 7912 
 
 8102 
 
 8292 
 
 8482 
 
 8672 
 
 190 
 
 2 38 
 
 3 57 
 
 85 
 
 8862 
 
 9052 
 
 9242 
 
 9432 
 
 9622 
 
 9812 
 
 0002 
 
 0192 
 
 0332 
 
 0572 
 
 
 4 76 
 
 86 
 
 3590762 
 
 0952 
 
 1142 
 
 1332 
 
 1522 
 
 1712 
 
 1902 
 
 2092 
 
 2282 
 
 2472 
 
 
 5 95 
 
 87 
 
 2662 
 
 2852 
 
 304.1 
 
 3231 
 
 3421 
 
 3611 
 
 3801 
 
 3991 
 
 4181 
 
 4370 
 
 
 6 114 
 
 7 133 
 
 8 152 
 
 88 
 
 4560 
 
 4750 
 
 4940 
 
 5130 
 
 5319 
 
 5509 
 
 5699 
 
 5889 
 
 6078 
 
 6268 
 
 
 89 
 
 6458 
 
 6648 
 
 6837 
 
 7027 
 
 7217 
 
 7406 
 
 7596 
 
 7786 
 
 7976 
 
 8165 
 
 
 9 171 
 
 2290 
 
 8355 
 
 8544 
 
 8734 
 
 8924 
 
 9113 
 
 9303 
 
 9493 
 
 9682 
 
 9872 
 
 0061 
 
 
 
 91 
 
 3600251 
 
 0440 
 
 0630 
 
 0820 
 
 1009 
 
 1199 
 
 1388 
 
 1578 
 
 1767 
 
 1957 
 
 
 
 92 
 
 2146 
 
 2336 
 
 2525 
 
 2715 
 
 2904 
 
 3093 
 
 3283 
 
 3472 
 
 3662 
 
 3851 
 
 
 189 
 
 93 
 
 4041 
 
 4230 
 
 4419 
 
 4609 
 
 4798 
 
 4987 
 
 5177 
 
 5366 
 
 5555 
 
 5745 
 
 
 1 19 
 
 94 
 
 5934 
 
 6123 
 
 6313 
 
 6502 
 
 6691 
 
 6881 
 
 7070 
 
 7259 
 
 7448 
 
 7638 
 
 
 2 38 
 
 3 57 
 
 4 76 
 
 95 
 
 ^827 
 
 8016 
 
 8205 
 
 8395 
 
 8584 
 
 8773 
 
 8962 
 
 9151 
 
 9341 
 
 9530 
 
 139 
 
 96 
 
 9719 
 
 9908 
 
 0097 
 
 0286 
 
 0475 
 
 0664 
 
 0854 
 
 1043 
 
 1232 
 
 1421 
 
 
 5 95 
 
 97 
 
 3611610 
 
 1799 
 
 1988 
 
 2177 
 
 2366 
 
 2555 
 
 2744 
 
 2933 
 
 3122 
 
 3311 
 
 
 6 113 
 
 98 
 
 3500 
 
 3689 
 
 3878 
 
 4)67 
 
 4256 
 
 4445 
 
 4634 
 
 4823 
 
 5012 
 
 5201 
 
 
 7 132 
 
 8 151 
 
 9 170 
 
 Pts. 
 
 99 
 
 N. 
 
 5390 
 
 5579 
 
 5768 
 
 5956 
 
 0145 
 
 6334 
 
 6523 
 
 6712 
 
 7 
 
 C90I 
 
 7090 
 
 D 
 
 
 
 2 
 
 3 
 
 T~ 
 
 5 
 
 6' 
 
 8 
 
 9 
 
(32) 
 
 LOGARITHMS N. 23000 L. 861 
 
 - N. 
 
 '2300 
 
 
 
 1 
 
 7467 
 
 2 
 7656 
 
 3 
 
 7845 
 
 4 
 
 8034 
 
 5 
 
 8222 
 
 6 
 
 8411 
 
 7 
 
 8600 
 
 8 
 
 8789 
 
 9 
 
 8977 
 
 D 
 
 Pro. 
 
 3617278 
 
 01 
 
 9166 
 
 9355 
 
 9544 
 
 9732 
 
 9921 
 
 0110 
 
 0298 
 
 0487 
 
 0676 
 
 0865 
 
 
 
 02 
 
 3621053 
 
 1242 
 
 1430 
 
 1619 
 
 1808 
 
 1996 
 
 2185 
 
 2374 
 
 2562 
 
 2751 
 
 
 189 
 
 03 
 
 29:;9 
 
 3128 
 
 3317 
 
 3505 
 
 3694 
 
 3882 
 
 4071 
 
 4259 
 
 4448 
 
 4636 
 
 
 1 19 
 
 04 
 
 4825 
 
 5013 
 
 5202 
 
 5390 
 
 5579 
 
 5767 
 
 5956 
 
 6144 
 
 6332 
 
 6521 
 
 
 2 38 
 
 05 
 
 6709 
 
 6898 
 
 7086 
 
 7275 
 
 7463 
 
 7651 
 
 7840 
 
 8028 
 
 8216 
 
 8405 
 
 
 3 57 
 
 4 76 
 
 06 
 
 8593 
 
 8781 
 
 8970 
 
 9158 
 
 9346 
 
 9535 
 
 9723 
 
 9911 
 
 0099 
 
 0288 
 
 
 5 95 
 
 07 
 
 36304-76 
 
 0664 
 
 0852 
 
 1041 
 
 1229 
 
 1417 
 
 1605 
 
 1794 
 
 1982 
 
 2170 
 
 
 G113 
 
 08 
 
 2358 
 
 2546 
 
 2734 
 
 2923 
 
 3111 
 
 3299 
 
 3487 
 
 3675 
 
 3863 
 
 4031 
 
 
 7 132 
 
 09 
 
 4239 
 
 4427 
 
 4615 
 
 4804 
 
 4992 
 
 5180 
 
 5368 
 
 5556 
 
 5744 
 
 5932 
 
 188 
 
 8 151 
 
 9 170 
 
 2310 
 
 6120 
 
 6308 
 
 6496 
 
 6684 
 
 6872 
 
 7060 
 
 7248 
 
 7436 
 
 7624 
 
 7812 
 
 
 
 11 
 
 7999 
 
 8187 
 
 8375 
 
 8563 
 
 8751 
 
 8939 
 
 9127 
 
 9315 
 
 9503 
 
 9690 
 
 
 
 12 
 
 9878 
 
 0066 
 
 0254 
 
 0442 
 
 0630 
 
 0817 
 
 1005 
 
 1193 
 
 1381 
 
 1569 
 
 
 188 
 
 13 
 
 3641756 
 
 1944 
 
 2132 
 
 2320 
 
 2507 
 
 2695 
 
 2883 
 
 3070 
 
 3258 
 
 3446 
 
 
 1 19 
 
 14 
 
 3634 
 
 3821 
 
 4009 
 
 4197 
 
 4384 
 
 4572 
 
 4759 
 
 4947 
 
 5135 
 
 5322 
 
 
 2 38 
 
 3 56 
 
 4 75 
 
 15 
 
 5510 
 
 5698 
 
 5885 
 
 6073 
 
 6260 
 
 6448 
 
 6635 
 
 6823 
 
 7010 
 
 7198 
 
 
 16 
 
 7386 
 
 7573 
 
 7761 
 
 7948 
 
 8136 
 
 8323 
 
 8511 
 
 8698 
 
 8885 
 
 9073 
 
 
 5 94 
 
 17 
 
 9260 
 
 9448 
 
 9635 
 
 9823 
 
 0010 
 
 0197 
 
 0385 
 
 0572 
 
 0760 
 
 0947 
 
 
 G113 
 
 18 
 
 3651134 
 
 1322 
 
 1509 
 
 1696 
 
 1884 
 
 2071 
 
 2258 
 
 2446 
 
 2633 
 
 2820 
 
 
 7 132 
 
 8 150 
 
 9 169 
 
 19 
 
 3007 
 
 3195 
 
 3382 
 
 3569 
 
 3757 
 
 3944 
 
 4131 
 
 4318 
 
 4305 
 
 4693 
 
 
 2320 
 
 4880 
 
 5067 
 
 5254 
 
 5441 
 
 5629 
 
 5816 
 
 6003 
 
 6190 
 
 6377 
 
 6564 
 
 
 
 21 
 
 6751 
 
 6939 
 
 7126 
 
 7313 
 
 7500 
 
 7687 
 
 7874 
 
 8061 
 
 8248 
 
 8435 
 
 187 
 
 
 22 
 
 8622 
 
 8809 
 
 8996 
 
 9183 
 
 9370 
 
 9557 
 
 9744 
 
 9931 
 
 0118 
 
 0305 
 
 187 
 
 s 23 
 
 3660492 
 
 0679 
 
 0866 
 
 1053 
 
 1240 
 
 1427 
 
 1614 
 
 1801 
 
 1987 
 
 2174 
 
 
 1 19 
 
 24 
 
 2361 
 
 2348 
 
 2735 
 
 2922 
 
 3109 
 
 3296 
 
 3482 
 
 3669 
 
 3856 
 
 4043 
 
 
 2 37 
 
 3 56 
 
 25 
 
 4230 
 
 4416 
 
 4603 
 
 4790 
 
 4977 
 
 5163 
 
 5350 
 
 5537 
 
 5724 
 
 5910 
 
 
 4 75 
 
 26 
 
 6097 
 
 6284 
 
 6471 
 
 6657 
 
 6844 
 
 7031 
 
 7217 
 
 7404 
 
 7591 
 
 7777 
 
 
 5 94 
 
 27 
 
 7964 
 
 8150 
 
 8337 
 
 8524 
 
 8710 
 
 8897 
 
 9083 
 
 9270 
 
 9457 
 
 9643 
 
 
 6 112 
 
 7 131 
 
 8 150 
 
 28 
 
 9830 
 
 5016 
 
 0203 
 
 0389 
 
 0576 
 
 0762 
 
 0949 
 
 1135 
 
 1322 
 
 1508 
 
 
 29 
 
 3671695 
 
 1881 
 
 2068 
 
 2254 
 
 2441 
 
 2627 
 
 2814 
 
 3000 
 
 3186 
 
 3373 
 
 
 9 168 
 
 2330 
 
 3559 
 
 3746 
 
 3932 
 
 4118 
 
 4305 
 
 4491 
 
 4677 
 
 4864 
 
 5050 
 
 5236 
 
 
 / 
 
 31 
 
 5423 
 
 5609 
 
 5795 
 
 5982 
 
 6168 
 
 6354 
 
 6540 
 
 6727 
 
 6913 
 
 7099 
 
 
 
 32 
 
 7285 
 
 7472 
 
 7658 
 
 7844 
 
 8030 
 
 8217 
 
 8403 
 
 8589 
 
 8775 
 
 8961 
 
 
 186 
 
 33 
 
 9147 
 
 9334 
 
 9520 
 
 9706 
 
 9892 
 
 0078 
 
 0264 
 
 0450 
 
 0636 
 
 0822 
 
 
 1 19 
 
 2 37 
 
 3 56 
 
 34 
 
 3681009 
 
 1195 
 
 1381 
 
 1567 
 
 1753 
 
 1939 
 
 2125 
 
 2311 
 
 2497 
 
 2683 
 
 186 
 
 35 
 
 2869 
 
 3055 
 
 3241 
 
 3427 
 
 3613 
 
 3799 
 
 3985 
 
 4171 
 
 4357 
 
 4542 
 
 
 4 74 
 
 36 
 
 4728 
 
 4914 
 
 5100 
 
 5286 
 
 5472 
 
 5658 
 
 5844 
 
 6030 
 
 6215 
 
 6401 
 
 
 5 93 
 
 6 112 
 
 7 130 
 
 37 
 
 6587 
 
 6773 
 
 6959 
 
 7145 
 
 7330 
 
 7516 
 
 7702 
 
 7888 
 
 8074 
 
 8259 
 
 
 38 
 
 8445 
 
 8631 
 
 8817 
 
 9002 
 
 9188 
 
 9374 
 
 9559 
 
 9745 
 
 9931 
 
 0117 
 
 
 8 149 
 
 39 
 
 3690302 
 
 0488 
 
 0674 
 
 0859 
 
 1045 
 
 1230 
 
 1416 
 
 1602 
 
 1787 
 
 1973 
 
 
 9 167 
 
 2340 
 
 2159 
 
 2344 
 
 2530 
 
 2715 
 
 2901 
 
 3086 
 
 3272 
 
 3458 
 
 3643 
 
 3829 
 
 
 
 41 
 
 4014j, 
 
 '4200 
 
 4385 
 
 4571 
 
 4756 
 
 4942 
 
 5127 
 
 5313 
 
 5498 
 
 5683 
 
 
 
 42 
 
 5869 
 
 6054 
 
 6240 
 
 6425 
 
 6611 
 
 6796 
 
 6981 
 
 7167 
 
 7352 
 
 75 3« 
 
 
 185 
 
 43 
 
 7723 
 
 7908 
 
 8094 
 
 8279 
 
 8464 
 
 8650 
 
 8835 
 
 9020 
 
 9205 
 
 9391 
 
 
 1 19 
 
 44 
 
 9576 
 
 9761 
 
 9947 
 
 0132 
 
 0317 
 
 0502 
 
 0688 
 
 0873 
 
 1058 
 
 1213 
 
 
 2 37 
 
 '^ 'id 
 
 45 
 
 3701428 
 
 1614 
 
 1799 
 
 1984 
 
 2169 
 
 2354 
 
 2540 
 
 2725 
 
 2910 
 
 3095 
 
 
 •J oo 
 4 74 
 
 46 
 
 3280 
 
 3465 
 
 3650 
 
 3835 
 
 4020 
 
 4206 
 
 4391 
 
 4576 
 
 4761 
 
 4946 
 
 
 5 93 
 
 47 
 
 5131 
 
 5316 
 
 5501 
 
 5686 
 
 5871 
 
 6056 
 
 6241 
 
 6426 
 
 6611 
 
 6796 
 
 185 
 
 6 111 
 
 7 130 
 
 8 148 
 
 48 
 
 6981 
 
 7166 
 
 7351 
 
 7536 
 
 7721 
 
 7906 
 
 8091 
 
 8275 
 
 8460 
 
 8645 
 
 
 49 
 
 N. 
 
 8830 
 
 9015 
 1 
 
 9200 
 
 9385 
 
 9570 
 
 9754 
 5 
 
 9939 
 
 0124 
 
 0309 
 
 0494 
 
 D 
 
 167 
 Pts. 
 
 
 
 2 
 
 3 
 
 4 
 
 6 
 
 7 
 
 8 
 
 9 
 
N. 23500 L.371 OF numbers. (33) 
 
 N. 
 
 235( 
 
 
 
 1 
 
 I 5863 
 
 2 3 
 
 1048 123: 
 
 4 
 
 ~i 1418 
 
 5 6 
 
 1603 178'; 
 
 17 8 9 
 
 1972 2157 2342 
 
 1) Pro. 
 
 ) 371067^ 
 
 5] 
 
 252( 
 
 ) 2711 
 
 2896 308C 
 
 ) 3265 
 
 3450 363,'. 
 
 J 3819 400 
 
 '4189 
 
 
 5i 
 
 > 437! 
 
 ] 4558 
 
 4742 492"; 
 
 ' 5112 
 
 529( 
 
 ) 5481 
 
 5666 5850 1 6035 II 
 
 185 
 
 .55 
 
 621C 
 
 ) 6404 
 
 6588 6771 
 
 5 6957 
 
 7142 
 
 > 7327 
 
 7511 
 
 769t 
 
 » 7880 
 
 1 19 
 
 54 
 
 806.' 
 
 . 8249 
 
 843^ 
 
 I. 861^ 
 
 8802 
 
 8987 
 
 9171 
 
 935e 
 
 954C 
 
 ) 9725 
 
 2 37 
 
 3 56' 
 
 5b 
 
 990C 
 
 1 0094 
 
 027^ 
 
 i 0462 
 
 J 0647 
 
 0831 
 
 1015 
 
 120c 
 
 > 1384 
 
 1569 
 
 4 74 
 
 56 
 
 372175S 
 
 ► 1937 
 
 212^ 
 
 > 230e 
 
 2490 
 
 2074 
 
 - 2859 
 
 3043 
 
 3227 
 
 3412 
 
 5 93 
 
 51 
 
 359( 
 
 ) 3780 
 
 396^ 
 
 ^ 4149 
 
 4333 
 
 4517 
 
 4701 
 
 4885 
 
 5070 
 
 5254 
 
 6 111 
 
 7 130 
 
 8 148 
 
 58 
 
 543g 
 
 5622 
 
 580e 
 
 5991 
 
 6175 
 
 6359 
 
 6543 
 
 6727 
 
 6911 
 
 7095 
 
 59 
 
 7279 
 
 7464 
 
 764S 
 
 7832 
 
 8016 
 
 8200 
 
 8384 
 
 8568 
 
 8752 
 
 8936 
 
 9 167 
 
 2360 
 
 9 12c 
 
 9304 
 
 9488 
 
 9672 
 
 9856 
 
 0040 
 
 0^24 
 
 0408 
 
 0592 
 
 0776 184.1 1 
 
 61 
 
 3730960 
 
 1144 
 
 1328 
 
 1512 
 
 1696 
 
 1879 
 
 2063 
 
 2247 
 
 243 1 
 
 2615 
 
 
 62 
 
 2799 
 
 2983 
 
 3167 
 
 3350 
 
 3534 
 
 3718 
 
 3902 
 
 4086 
 
 4270 
 
 4453 
 
 184 
 
 63 
 
 4637 
 
 4821 
 
 5005 
 
 5189 
 
 5372 
 
 5556 
 
 5740 
 
 5924 
 
 6107 
 
 6291 
 
 I 18 
 
 64 
 
 , 6475 
 
 6658 
 
 6842 
 
 7026 
 
 7210 
 
 7393 
 
 7577 
 
 7761 
 
 7944 
 
 8128 
 
 2 37 
 
 3 55 
 
 65 
 
 8311 
 
 8495 
 
 8679 
 
 8862 
 
 9046 
 
 9230 
 
 9413 
 
 9597 
 
 9780 
 
 9964 
 
 4 74 
 
 66 
 
 3740147 
 
 0331 
 
 0515 
 
 0698 
 
 0882 
 
 1065 
 
 1249 
 
 1432 
 
 1616 
 
 1799 
 
 5 92 
 
 6 110 
 
 7 !29 
 
 67 
 
 1983 
 
 2166 
 
 2350 
 
 2533 
 
 2716 
 
 2900 
 
 3083 
 
 3267 
 
 3450 
 
 3634 
 
 68 
 
 3817 
 
 4000 
 
 4184 
 
 4367 
 
 4551 
 
 4734 
 
 4917 
 
 5101 
 
 5284 
 
 5467 
 
 8 147 
 
 69 
 
 5651 
 
 5834 
 
 6017 
 
 6201 
 
 6384 
 
 6567 
 
 6750 
 
 6934 
 
 7117 
 
 7300 
 
 9 166 
 
 2370 
 
 748.3" 
 
 7667 
 
 7850 
 
 8033 
 
 8216 
 
 8400 
 
 8583 
 
 8766 
 
 8949 
 
 9132 
 
 
 71 
 
 9316 
 
 9499 
 
 9682 
 
 9865 
 
 0048 
 
 0231 
 
 0414 
 
 0598 
 
 0781 
 
 0964 , 
 
 33 183 
 
 72 
 
 3751147 
 
 1330 
 
 1513 
 
 1696 
 
 1879 
 
 2062 
 
 2245 
 
 2428 
 
 2611 
 
 2794 ' 
 
 73 
 
 2977 
 
 3160 
 
 3343 
 
 3526 
 
 3709 
 
 3892 
 
 4075 
 
 4258 
 
 4441 
 
 4624 
 
 1 18 
 
 2 37 
 
 3 55 
 
 74 
 
 4807 
 
 4990 
 
 5173 
 
 5356 
 
 5539 
 
 5722 
 
 5905 
 
 6088 
 
 6270 
 
 6453 
 
 75 
 
 6636 
 
 6819 
 
 7002 
 
 7185 
 
 7368 
 
 7550 
 
 7733 
 
 7916 
 
 8099 
 
 8282 
 
 4 73 
 
 76 
 
 8464 
 
 8647 
 
 8830 
 
 ,9013 
 
 9195 
 
 9378 
 
 9561 
 
 9744 
 
 9926 
 
 0109 
 
 5 92 
 6110 
 
 7 128 
 
 77 
 
 3760292 
 
 0475 
 
 0657 
 
 0840 
 
 1023 
 
 1 205 
 
 1388 
 
 1571 
 
 1753 
 
 1936 
 
 78 
 
 2119 
 
 2301 
 
 2484 
 
 2666 
 
 2849 
 
 3032 
 
 3214 
 
 3397 
 
 3579 
 
 3762 
 
 8 146 
 
 79 
 
 3944 
 
 4127 
 
 4310 
 
 4492 
 
 4675 
 
 4857 
 
 5040 
 
 5222 
 
 5405 
 
 5587 
 
 9 !65 
 
 2380 
 
 5770 
 
 5952 
 
 6135 
 
 6317 
 
 6499 
 
 6682 
 
 6864 
 
 7047 
 
 7229 
 
 7412 
 
 
 81 
 
 7594 
 
 7776 
 
 7959 
 
 8141 
 
 8323 
 
 8506 
 
 8688 
 
 8871 
 
 9053 
 
 9235 
 
 
 82 
 
 9418 
 
 &600 
 
 9782 
 
 9965 
 
 0147 
 
 0329 
 
 0511 
 
 0694 
 
 0876 
 
 1058 
 
 182 
 
 83 
 
 3771240 
 
 1 423 
 
 1605 
 
 1787 
 
 1969 
 
 2152 
 
 2334 
 
 2516 
 
 2698 
 
 2880 
 
 1 18 
 
 84 
 
 3063 
 
 3245 
 
 3427 
 
 3609 
 
 3791 
 
 3973 
 
 4155 
 
 4338 
 
 4520 
 
 4702 
 
 2 36 
 
 3 55 
 
 85 
 
 4884 
 
 5066 
 
 5248 
 
 5430 
 
 5612 
 
 5794 
 
 5976 
 
 6158 
 
 6340 
 
 6522 '^ 
 
 ^ 4 73 
 
 86 
 
 6704 
 
 6886 
 
 7068 
 
 7250 
 
 7432 
 
 7614 
 
 7796 
 
 7978 
 
 8160 
 
 8342 
 
 5 91 
 
 87 
 
 8524 
 
 8706 
 
 8888 
 
 9070 
 
 9252 
 
 9434 9616 1 
 
 9798 
 
 9979 
 
 0161 
 
 6 109 
 
 7 127 
 
 8 146 
 
 88 
 
 3780343 
 
 0525 
 
 0707 
 
 0889 
 
 1071 
 
 1252 
 
 1434 
 
 1616 
 
 1798 
 
 1980 
 
 89 
 
 2161 
 
 2343 
 
 2525 
 
 2707 
 
 2889 
 
 3070 
 
 3252 
 
 3434 
 
 3616 
 
 3797 
 
 9 164 
 
 2390 
 
 3979 
 
 4161 
 
 4342 
 
 1524 
 
 4706 
 
 4887 
 
 5069 
 
 5251 
 
 5432 
 
 5614 
 
 
 91 
 
 5796 
 
 5977 
 
 6159 ( 
 
 3341 . 
 
 6522 
 
 6704 
 
 6885 
 
 7067* 
 
 7249 
 
 7430 
 
 
 ' 92 
 
 7612 
 
 7793 
 
 7975 
 
 3156 
 
 8338 
 
 8519 
 
 8701 
 
 B882 
 
 9064 
 
 9245 
 
 181 
 
 93 
 
 9427 
 
 9608 
 
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 0334 
 
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 3697 
 
 3879 
 
 1060 
 
 1 18 
 
 2 36 
 
 3 54 
 
 94 
 
 3791241 
 
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 1604 
 
 1786 
 
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 2148 
 
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 2874 
 
 95 
 
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 4868 
 
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 5499 
 
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 97 
 
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 3665 ( 
 
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 3 
 
 1027 
 
 4 
 
 1208 
 
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 570 
 
 7 
 
 1750 ] 
 8 
 
 931 
 
 9 D 
 
 9 163 
 Pts. 
 
 N. " 
 
 
 
 5 6 \ 
 
 2F 
 
(34) LOGARITHMS N. 524000 L. 380 
 
 N. 
 
 24.00 
 
 
 
 1 
 
 2293 
 
 2 
 2474 
 
 3 
 
 2655 
 
 4 
 
 2836 
 
 5 
 
 3017 
 
 3198 
 
 7 
 
 3379 
 
 8 
 3560 
 
 r 
 
 3741 
 
 181 
 
 Pro. 
 
 3802112 
 
 01 
 
 3922 
 
 4102 
 
 4283 
 
 4464 
 
 4645 
 
 4826 
 
 5007 
 
 5188 
 
 5368 
 
 5549 
 
 
 
 02 
 
 5730 
 
 5911 
 
 6092 
 
 6272 
 
 6453 
 
 6634 
 
 6815 
 
 6995 
 
 7176 
 
 7357 
 
 
 181 
 
 03 
 
 7538 
 
 7718 
 
 7899 
 
 8080 
 
 8261 
 
 8141 
 
 8622 
 
 8803 
 
 8983 
 
 9164 
 
 
 1 18 
 
 04 
 
 9345 
 
 9525 
 
 9706 
 
 9887 
 
 0067 
 
 0248 
 
 0428 
 
 0609 
 
 0790 
 
 0970 
 
 
 2 36 
 
 3 54 
 
 05 
 
 3811151 
 
 1331 
 
 1512 
 
 1693 
 
 1873 
 
 2054 
 
 2234 
 
 2415 
 
 2595 
 
 2776 
 
 
 4 72 
 
 06 
 
 2956 
 
 3 1 37 
 
 3317 
 
 3498 
 
 3678 
 
 3859 
 
 4039 
 
 4220 
 
 4400 
 
 4580 
 
 
 5 91 
 
 07 
 
 4761 
 
 4941 
 
 5122 
 
 5302 
 
 5483 
 
 5QQ^ 
 
 5843 
 
 6024 
 
 6204 
 
 6384 
 
 
 6 109 
 
 7 127 
 
 8 145 
 
 08 
 
 Q5C)5 
 
 6745 
 
 6926 
 
 7106 
 
 7286 
 
 1VQ1 
 
 7647 
 
 7827 
 
 8007 
 
 8188 
 
 
 09 
 
 8368 
 
 8548 
 
 8729 
 
 8909 
 
 9089 
 
 9269 
 
 9450 
 
 9630 
 
 9810 
 
 9990 
 
 
 9 163 
 
 2410 
 
 3820170 
 
 0351 
 
 0531 
 
 0711 
 
 0891 
 
 1071 
 
 1252 
 
 1432 
 
 1612 
 
 1792 
 
 
 
 11 
 
 1972 
 
 2152 
 
 2332 
 
 2512 
 
 2693 
 
 2873 
 
 3053 
 
 3233 
 
 3413 
 
 3593 
 
 180 
 
 
 12 
 
 3773 
 
 3953 
 
 4133 
 
 4313 
 
 4493 
 
 4673 
 
 4853 
 
 5033 
 
 5213 
 
 5393 
 
 
 13 
 
 bSK'i 
 
 5753 
 
 5933 
 
 6113 
 
 6293 
 
 6473 
 
 mo 3 
 
 6833 
 
 7013 
 
 7193 
 
 
 
 14 
 
 7373 
 
 7553 
 
 7732 
 
 7912 
 
 8092 
 
 8272 
 
 8452 
 
 8632 
 
 8812 
 
 8992 
 
 
 
 15 
 
 9171 
 
 9351 
 
 9531 
 
 9711 
 
 9891 
 
 0070 
 
 0250 
 
 0430 
 
 0610 
 
 0790 
 
 
 180 
 
 16 
 
 3830969 
 
 1 1 49 
 
 1320 
 
 1509 
 
 1688 
 
 1868 
 
 2048 
 
 2227 
 
 2407 
 
 2587 
 
 
 J 18 
 
 17 
 
 2767 
 
 2946 
 
 3126 
 
 3306 
 
 3485 
 
 3665 
 
 3844 
 
 4024 
 
 4204 
 
 4383 
 
 
 2 36 
 
 18 
 
 4563 
 
 4743 
 
 4922 
 
 5102 
 
 5281 
 
 5461 
 
 5640 
 
 5820 
 
 6000 
 
 6179 
 
 
 3 54 
 
 4 72 
 
 5 90 
 
 19 
 
 G359 
 
 6538 
 
 6718 
 
 6897 
 
 7077 
 
 7256 
 
 7436 
 
 7615 
 
 7795 
 
 7974 
 
 
 2420 
 
 8154 
 
 8 S3 3 
 
 8513 
 
 8692 
 
 8871 
 
 9051 
 
 9230 
 
 9410 
 
 9589 
 
 9769 
 
 
 6 108 
 
 21 
 
 9948 
 
 0127 
 
 0307 
 
 0486 
 
 0665 
 
 0845 
 
 1024 
 
 1203 
 
 1383 
 
 1562 
 
 
 7 126 
 
 8 144 
 
 9 162 
 
 22 
 
 3841741 
 
 1921 
 
 2100 
 
 2279 
 
 2459 
 
 2638 
 
 2817 
 
 2996 
 
 3176 
 
 3355 
 
 
 2.3^ 
 
 - 3534 
 
 3713 
 
 3S93 
 
 4072 
 
 4251 
 
 4430 
 
 4609 
 
 4789 
 
 4968 
 
 5147 
 
 
 
 24 
 
 5326 
 
 5505 
 
 5684 
 
 5864 
 
 6043 
 
 6222 
 
 6401 
 
 6580 
 
 6759 
 
 6938 
 
 
 
 25 
 
 7117 
 
 7297 
 
 7476 
 
 7655 
 
 7834 
 
 8013 
 
 8192 
 
 8371 
 
 8550 
 
 8729 
 
 
 
 26 
 
 8908 
 
 9087 
 
 9266 
 
 9445 
 
 9624 
 
 9803 
 
 9982 
 
 0161 
 
 0340 
 
 0519 
 
 179 
 
 
 27 
 
 3850698 
 
 0877 
 
 1056 
 
 1235 
 
 1413 
 
 1592 
 
 1771 
 
 1950 
 
 2129 
 
 2308 
 
 
 
 28 
 
 2487 
 
 2666 
 
 2845 
 
 3023 
 
 3202 
 
 3381 
 
 3560 
 
 3739 
 
 3918 
 
 4096 
 
 
 179 
 1 18 
 
 29 
 
 4275 
 
 4454 
 
 4633 
 
 4812 
 
 4990 
 
 5169 
 
 5348 
 
 5527 
 
 5705 
 
 5884 
 
 
 2430 
 
 6063 
 
 6241 
 
 6420 
 
 6599 
 
 6778 
 
 6956 
 
 7135 
 
 7314 
 
 7492 
 
 7671 
 
 
 2 36 
 
 31 
 
 7850 
 
 8028 
 
 8207 
 
 8386 
 
 8564 
 
 8743 
 
 8921 
 
 9100 
 
 9279 
 
 9457 
 
 
 3 54 
 
 32 
 
 9636 
 
 9814 
 
 9993 
 
 0171 
 
 0350 
 
 0528 
 
 0707 
 
 0886 
 
 1064 
 
 1243 
 
 
 4 72 
 
 5 90 
 5 107 
 
 33 
 
 3861421 
 
 1600 
 
 1778 
 
 1 957 
 
 2135 
 
 2314 
 
 2492 
 
 2670 
 
 2849 
 
 3027 
 
 
 34 
 
 3206 
 
 3384 
 
 S5QS 
 
 3741 
 
 3919 
 
 4098 
 
 4276 
 
 4455 
 
 4633 
 
 4811 
 
 
 7 125 
 
 !i5 
 
 4990 
 
 5168 
 
 5346 
 
 5525 
 
 5703 
 
 5881 
 
 6060 
 
 6238 
 
 6416 
 
 6595 
 
 
 n43 
 
 )161 
 
 36 
 
 6773 
 
 6951 
 
 7129 
 
 7308 
 
 7486 
 
 7664 
 
 7842 
 
 8021 
 
 8199 
 
 8377 
 
 
 37 
 
 8555 
 
 8733 
 
 8912 
 
 9090 
 
 9268 
 
 9446 
 
 9624 
 
 9803 
 
 9981 
 
 0159 
 
 
 
 38 
 
 3870337 
 
 0515 
 
 0693 
 
 0871 
 
 1049 
 
 1228 
 
 1406 
 
 1584 
 
 1762 
 
 1940 
 
 
 
 39 
 
 21 18 
 
 2296 
 
 2474 
 
 2652 
 
 2830 
 
 3008 
 
 31 86 
 
 3364 
 
 3542 
 
 3720 
 
 178 
 
 
 2440 
 
 3898 
 
 4076 
 
 4254 
 
 4432 
 
 4610 
 
 4788 
 
 4966 
 
 5144 
 
 5322 
 
 5500 
 
 
 
 41 
 
 5678 
 
 5856 
 
 6034 
 
 6212 
 
 6389 
 
 6567 
 
 6745 
 
 6923 
 
 7101 
 
 7279 
 
 
 
 42 
 
 7457 
 
 7634 
 
 7812 
 
 7990 
 
 8168 
 
 8346 
 
 8524 
 
 8701 
 
 8879 
 
 9057 
 
 
 178 
 
 43 
 
 9235 
 
 9412 
 
 9590 
 
 9768 
 
 9946 
 
 0123 
 
 0301 
 
 0479 
 
 0657 
 
 0834 
 
 1 
 
 18 
 
 44 
 
 3881012 
 
 1190 
 
 1367 
 
 1545 
 
 1723 
 
 1900 
 
 2078 
 
 2256 
 
 2433 
 
 2611 
 
 '2 
 3 
 4 
 
 36 
 53 
 71 
 
 45 
 
 2789 
 
 2966 
 
 3144 
 
 3321 
 
 3499 
 
 3677 
 
 3854 
 
 4032 
 
 4209 
 
 4387 
 
 46 
 
 4565 
 
 4742 
 
 4920. 
 
 5097 
 
 5275 
 
 5452 
 
 5630 
 
 5807 
 
 5985 
 
 6162 
 
 5 
 
 89 
 
 47 
 
 6340 
 
 6517 
 
 6695 
 
 6872 
 
 7050 
 
 7227 
 
 7404 
 
 7582 
 
 7759 
 
 7937 
 
 6 
 
 107 
 
 48 
 
 8114 
 
 8292 
 
 8469 
 
 8646 
 
 8824 
 
 9001 
 
 9178 
 
 9356 
 
 9533 
 
 9711 
 
 7 
 8 
 9 
 
 D 1 
 
 125 
 142 
 160 
 
 49 
 
 9888 
 
 0065 
 1 
 
 0243 
 
 0420 
 
 3 
 
 0597 
 
 0774 
 
 5 
 
 0952 
 
 6 
 
 1129 
 
 7 
 
 1306 
 8 
 
 1484 
 
 9 
 
 N. 
 
 
 
 4 
 
N. ^4500 L. 389 OF NUMBERS. (35)1 
 
 N. 
 
 2450 
 
 
 
 1 
 
 2 
 2015 
 
 3 
 
 2193 
 
 4 
 
 2370 
 
 5 
 
 2547 
 
 6 
 
 2724 
 
 7 
 
 2902 
 
 8 
 
 3079 
 
 9 
 
 3256 
 
 D 
 
 Pro. 
 
 3891661 
 
 1838 
 
 51 
 
 3433 
 
 3610 
 
 3787 
 
 3965 
 
 4142 
 
 4319 
 
 4496 
 
 4673 
 
 4850 
 
 5028 
 
 
 
 52 
 
 5205 
 
 5382 
 
 5559 
 
 5736 
 
 5913 
 
 6090 
 
 6267 
 
 6444 
 
 6621 
 
 6798 
 
 
 177 
 
 53 
 
 6975 
 
 7153 
 
 7330 
 
 7507 
 
 7684 
 
 7861 
 
 8038 
 
 8215 
 
 8392 
 
 8569 
 
 177 
 
 1 18 
 
 54 
 
 8746 
 
 8923 
 
 9100 
 
 9276 
 
 9453 
 
 9630 
 
 9807 
 
 9984 
 
 0161 
 
 0338 
 
 
 2 35 
 
 3 53 
 
 55 
 
 3900515 
 
 0692 
 
 0869 
 
 1046 
 
 1223 
 
 1399 
 
 1576 
 
 1753 
 
 1930 
 
 2107 
 
 
 4 71 
 
 56 
 
 2284 
 
 2460 
 
 2637 
 
 2814 
 
 2991 
 
 3168 
 
 3344 
 
 3521 
 
 3698 
 
 3875 
 
 
 5 89 
 
 51 
 
 4052 
 
 4228 
 
 4405 
 
 4582 
 
 4759 
 
 4935 
 
 5112 
 
 5289 
 
 5465 
 
 5642 
 
 
 6 106 
 
 7 124 
 
 8 142 
 
 58 
 
 5819 
 
 5995 
 
 6172 
 
 6349 
 
 6525 
 
 6702 
 
 6879 
 
 7055 
 
 7232 
 
 7409 
 
 
 59 
 
 7585 
 
 7762 
 
 7939 
 
 8115 
 
 8292 
 
 8468 
 
 8645 
 
 8821 
 
 8998 
 
 9175 
 
 
 9 159 
 
 2460 
 
 9351 
 
 9528 
 
 9704 
 
 9881 
 
 0057 
 
 0234 
 
 0410 
 
 0587 
 
 0763 
 
 0940 
 
 
 
 61 
 
 3911116 
 
 1293 
 
 1469 
 
 1646 
 
 1822 
 
 1998 
 
 2175 
 
 2351 
 
 2528 
 
 2704 
 
 
 
 62 
 
 2880 
 
 3057 
 
 3233 
 
 3410 
 
 3586 
 
 3762 
 
 3939 
 
 4115 
 
 4291 
 
 4468 
 
 
 
 63 
 
 4644 
 
 4820 
 
 4997 
 
 5173 
 
 5349 
 
 5526 
 
 5702 
 
 5878 
 
 6055 
 
 6231 
 
 
 
 64 
 
 6407 
 
 6583 
 
 6760 
 
 6936 
 
 7112 
 
 7288 
 
 7464 
 
 7641 
 
 7817 
 
 7993 
 
 
 
 65 
 
 8169 
 
 8345 
 
 8522 
 
 8698 
 
 8874 
 
 9050 
 
 9226 
 
 9402 
 
 9578 
 
 9755 
 
 
 176 
 
 6Q 
 
 9931 
 
 0107 
 
 0283 
 
 0459 
 
 0635 
 
 0811 
 
 0987 
 
 1163 
 
 1339 
 
 1515 
 
 176 
 
 ] 18 
 
 67 
 
 3921691 
 
 1868 
 
 2044 
 
 2220 
 
 2396 
 
 2572 
 
 2748 
 
 2924 
 
 3100 
 
 3276 
 
 
 2 35 
 
 68 
 
 3452 
 
 3628 
 
 3803 
 
 3979 
 
 4155 
 
 4331 
 
 4507 
 
 4683 
 
 4859 
 
 5035 
 
 
 3 53 
 
 4 70 
 
 5 88 
 
 69 
 
 5211 
 
 5387 
 
 5563 
 
 5739 
 
 5914 
 
 6090 
 
 6266 
 
 6442 
 
 6618 
 
 6794 
 
 
 2470 
 
 6970 
 
 7145 
 
 7321 
 
 7497 
 
 7673 
 
 7849 
 
 8024 
 
 8200 
 
 8376 
 
 8552 
 
 
 6 106 
 
 71 
 
 8727 
 
 8903 
 
 9079 
 
 9255 
 
 9430 
 
 9606 
 
 9782 
 
 9958 
 
 0133 
 
 0309 
 
 
 7 123 
 
 8 141 
 
 9 158 
 
 72 
 
 3930485 
 
 0660 
 
 0836 
 
 1012 
 
 1187 
 
 1363 
 
 1539 
 
 1714 
 
 1890 
 
 2066 
 
 
 73 
 
 2241 
 
 2417 
 
 2592 
 
 2768 
 
 2944 
 
 3119 
 
 3295 
 
 3470 
 
 3646 
 
 3821 
 
 
 
 74 
 
 3997 
 
 4172 
 
 4348 
 
 4524 
 
 4699 
 
 4875 
 
 5050 
 
 5226 
 
 5401 
 
 5577 
 
 
 
 75 
 
 5752 
 
 5928 
 
 6103 
 
 6278 
 
 6454 
 
 6629 
 
 6805 
 
 6980 
 
 7156 
 
 7331 
 
 
 
 76 
 
 7506 
 
 7682 
 
 7857 
 
 8033 
 
 8208 
 
 8383 
 
 8559 
 
 8734 
 
 8909 
 
 9085 
 
 
 
 77 
 
 9260 
 
 9435 
 
 9611 
 
 9786 
 
 9961 
 
 0137 
 
 0312 
 
 0487 
 
 0662 
 
 0838 
 
 
 
 78 
 
 3941013 
 
 1188 
 
 1364 
 
 1539 
 
 1714 
 
 1889 
 
 2064 
 
 2240 
 
 2415 
 
 2590 
 
 
 
 79 
 
 2765 
 
 2940 
 
 3116 
 
 3291 
 
 3466 
 
 3641 
 
 3816 
 
 3991 
 
 4167 
 
 4342 
 
 
 175 
 1 I@ 
 
 2480 
 
 4517 
 
 4692 
 
 4867 
 
 5042 
 
 5217 
 
 5392 
 
 5567 
 
 5742 
 
 5918 
 
 6093 
 
 175 
 
 2 35 
 
 81 
 
 6268 
 
 6443 
 
 6618 
 
 ^793 
 
 6968 
 
 7143 
 
 7318 
 
 7493 
 
 7668 
 
 7843 
 
 3 53 
 
 82 
 
 8018 
 
 8193 
 
 8368 
 
 8543 
 
 8718 
 
 8893 
 
 9068 
 
 9242 
 
 9417 
 
 9592 
 
 
 4 70 
 
 5 88 
 
 6 105 
 
 83 
 
 9767 
 
 9942 
 
 0117 
 
 0292 
 
 0467 
 
 0642 
 
 0817 
 
 0991 
 
 1166 
 
 1341 
 
 
 84 
 
 3951516 
 
 1691 
 
 1866 
 
 2040 
 
 2215 
 
 2390 
 
 2565 
 
 2740 
 
 2914 
 
 3089 
 
 
 7 123 
 
 85 
 
 3264 
 
 3439 
 
 3613 
 
 3788 
 
 3963 
 
 4138 
 
 4312 
 
 4487 
 
 4662 
 
 4837 
 
 
 8 140 
 
 9 158 
 
 86 
 
 5011 
 
 5186 
 
 5361 
 
 5535 
 
 5710 
 
 5885 
 
 6059 
 
 6234 
 
 6409 
 
 6583 
 
 
 87 
 
 6758 
 
 6932 
 
 7107 
 
 7282 
 
 7456 
 
 7631 
 
 7805 
 
 7980 
 
 8155 
 
 8329 
 
 
 
 88 
 
 8504 
 
 8678 
 
 8853 
 
 9027 
 
 9202 
 
 9376 
 
 9551 
 
 9725 
 
 9900 
 
 0074 
 
 
 
 89 
 
 3960249 
 
 0423 
 
 0598 
 
 0772 
 
 0947 
 
 1121 
 
 1296 
 
 1470 
 
 1645 
 
 1819 
 
 
 
 2490 
 
 1993 
 
 2168 
 
 2342 
 
 2517 
 
 2691 
 
 2865 
 
 3040 
 
 3214 
 
 3389 
 
 3563 
 
 
 
 91 
 
 3737 
 
 3912 
 
 4086 
 
 4260 
 
 4435 
 
 4609 
 
 4783 
 
 4958 
 
 5132 
 
 5306 
 
 
 
 92 
 
 5480 
 
 5655 
 
 5829 
 
 6003 
 
 6177 
 
 6352 
 
 6526 
 
 6700 
 
 6874 
 
 7049 
 
 
 174 
 
 93 
 
 7223 
 
 7397 
 
 7571 
 
 7745 
 
 7920 
 
 8094 
 
 8268 
 
 8442 
 
 8616 
 
 8790 
 
 
 1 17 
 
 2 35 
 i 52 
 
 94 
 
 8964 
 
 9139 
 
 9313 
 
 9487 
 
 9661 
 
 9835 
 
 0009 
 
 0183 
 
 0357 
 
 0531 
 
 
 95 
 
 3970705 
 
 0880 
 
 1054 
 
 1228 
 
 1402 
 
 1576 
 
 1750 
 
 1924 
 
 2098 
 
 2272 
 
 174 ' 
 
 i 7Q 
 
 96 
 
 2446 
 
 2620 
 
 2794 
 
 2968 
 
 3142 
 
 3316 
 
 3490 
 
 3664 
 
 3838 
 
 4011 
 
 
 > 87 
 il04 
 7 122 
 
 97 
 
 4] 85 
 
 4359 
 
 4533 
 
 4707 
 
 4881 
 
 5055 
 
 5229 
 
 5403 
 
 5577 
 
 5750 
 
 
 98 
 
 5924 
 
 6098 
 
 6272 
 
 6446 
 
 6620 
 
 6794 
 
 6967 
 
 7141 
 
 7315 
 
 7489 
 
 k 
 
 i 139 
 
 99 
 
 7663 
 
 7836 
 
 8010 
 2 
 
 8184 
 
 3 
 
 8358 
 
 4 
 
 8531 
 5 
 
 8705 
 
 6* 
 
 8879 
 
 9053 
 8 
 
 9226 
 
 9 
 
 D 
 
 ) 157 
 
 Pts. 
 
 N. 
 
 
 
 1 
 
 2F2 
 
(36) 
 
 LOGARITHMS N. 25000 L. 397 
 
 '2500 
 
 
 
 1 
 
 9574 
 
 9748 
 
 3 
 
 992T 
 
 4 
 
 0095 
 
 5 
 
 0269 
 
 6 
 
 0442 
 
 7 
 
 0616 
 
 8 
 0790 
 
 9 
 
 0963 
 
 I" 
 
 Pro. 
 
 3979400 
 
 01 
 
 3981137 
 
 1311 
 
 1484 
 
 1658 
 
 1831 
 
 2005 
 
 2179 
 
 2352 
 
 2526 
 
 2699 
 
 
 174 
 
 02 
 
 2873 
 
 3047 
 
 3220 
 
 3394 
 
 3567 
 
 3741 
 
 3914 
 
 4088 
 
 4261 
 
 4435 
 
 
 I 17 
 
 03 
 
 4608 
 
 4782 
 
 4956 
 
 5129 
 
 5302 
 
 5476 
 
 5649 
 
 5823 
 
 5996 
 
 6170 
 
 
 2 35 
 
 04- 
 
 6343 
 
 6517 
 
 6690 
 
 6864 
 
 7037 
 
 7210 
 
 7384 
 
 7557 
 
 7731 
 
 7904 
 
 
 3 52 
 
 4 70 
 
 0.5 
 
 8077 
 
 8251 
 
 8424 
 
 8597 
 
 8771 
 
 8944 
 
 9117 
 
 9291 
 
 9464 
 
 9637 
 
 
 5 87 
 
 06 
 
 9811 
 
 9984 
 
 0157 
 
 0331 
 
 0504 
 
 0677 
 
 0850 
 
 1024 
 
 1197 
 
 1370 
 
 
 6 104 
 
 07 
 
 3991543 
 
 1717 
 
 1890 
 
 2063 
 
 2236 
 
 2409 
 
 2583 
 
 2756 
 
 2929 
 
 3102 
 
 
 7 122 
 
 8 139 
 
 08 
 
 3275 
 
 3448 
 
 3622 
 
 3795 
 
 3968 
 
 4141 
 
 4314 
 
 4487 
 
 4660 
 
 4834 
 
 
 9 157 
 
 09 
 
 5007 
 
 5180 
 
 5353 
 
 5526 
 
 5699 
 
 5872 
 
 6045 
 
 6218 
 
 6391 
 
 6564 
 
 173 
 
 
 2510 
 
 6737 
 
 6910 
 
 7083 
 
 7256 
 
 7429 
 
 7602 
 
 7775 
 
 7948 
 
 8121 
 
 8294 
 
 
 11 
 
 8467 
 
 8640 
 
 8813 
 
 8986 
 
 9159 
 
 9332 
 
 9505 
 
 9678 
 
 9851 
 
 0023 
 
 
 
 12 
 
 4000196 
 
 0369 
 
 0542 
 
 0715 
 
 0888 
 
 1061 
 
 1234 
 
 1406 
 
 1579 
 
 1752 
 
 
 
 13 
 
 1925 
 
 2098 
 
 2271 
 
 2443 
 
 2616 
 
 2789 
 
 2962 
 
 3134 
 
 3307 
 
 3480 
 
 
 
 14 
 
 3653 
 
 3825 
 
 3998 
 
 4171 
 
 4344 
 
 4516 
 
 4689 
 
 4862 
 
 5035 
 
 5207 
 
 
 
 15 
 
 5380 
 
 5553 
 
 5725 
 
 5898 
 
 6071 
 
 6243 
 
 6416 
 
 6588 
 
 6761 
 
 6934 
 
 
 173 
 
 1 17 
 
 2 35 
 
 16 
 
 7106 
 
 7279 
 
 7452 
 
 7624 
 
 7797 
 
 7969 
 
 8142 
 
 8314 
 
 8487 
 
 8660 
 
 
 17 
 
 8832 
 
 9005 
 
 9177 
 
 9350 
 
 .9522 
 
 9695 
 
 9867 
 
 0040 
 
 0212 
 
 0385 
 
 
 3 52 
 
 18 
 
 4010557 
 
 0730 
 
 0902 
 
 1075 
 
 1247 
 
 1420 
 
 1592 
 
 1764 
 
 1937 
 
 2109 
 
 
 4 69 
 
 19 
 
 2282 
 
 2454 
 
 2626 
 
 2799 
 
 2971 
 
 3144 
 
 3316 
 
 3488 
 
 3661 
 
 3833 
 
 
 5 87 
 
 6 104 
 
 7 121 
 
 2520 
 
 4005 
 
 4178 
 
 4350 
 
 4522 
 
 4695 
 
 4867 
 
 5039 
 
 5212 
 
 5384 
 
 5556 
 
 
 21 
 
 5728 
 
 5901 
 
 6073 
 
 6245 
 
 6417 
 
 6590 
 
 6762 
 
 6934 
 
 7106 
 
 7279 
 
 
 8 138 
 
 22 
 
 7451 
 
 7623 
 
 7795 
 
 7967 
 
 8140 
 
 8312 
 
 8484 
 
 8656 
 
 8828 
 
 9000 
 
 
 9 156 
 
 23 
 
 9173 
 
 9345 
 
 9517 
 
 9689 
 
 9861 
 
 0033 
 
 0205 
 
 0377 
 
 0549 
 
 0721 
 
 
 
 24 
 
 4020894 
 
 1066 
 
 1238 
 
 1410 
 
 1582 
 
 1754 
 
 1926 
 
 2098 
 
 2270 
 
 2442 
 
 172 
 
 
 25 
 
 2614 
 
 27 86 
 
 2958 
 
 3130 
 
 3302 
 
 3474 
 
 3646 
 
 3818 
 
 3990 
 
 4162 
 
 
 
 26 
 
 4333 
 
 4505 
 
 4677 
 
 4849 
 
 5021 
 
 5193 
 
 5365 
 
 5537 
 
 5709 
 
 5881 
 
 
 
 27 
 
 6052 
 
 6224 
 
 6396 
 
 6568 
 
 6740 
 
 6912 
 
 7083 
 
 7255 
 
 7427 
 
 7599 
 
 
 
 28 
 
 7771 
 
 7942 
 
 8114 
 
 8286 
 
 8458 
 
 8630 
 
 8801 
 
 8973 
 
 9145 
 
 9317 
 
 
 172 
 1 17 
 
 29 
 
 9488 
 
 9660 
 
 9832 
 
 0003 
 
 0175 
 
 0347 
 
 0519 
 
 0690 
 
 0862 
 
 1034 
 
 
 2530 
 
 4031205 
 
 1377 
 
 1549 
 
 1720 
 
 1892 
 
 2063 
 
 2235 
 
 2407 
 
 2578 
 
 2750 
 
 
 2 34 
 
 31 
 
 2921 
 
 3093 
 
 3265 
 
 3436 
 
 3608 
 
 3779 
 
 3951 
 
 4122 
 
 4294 
 
 4465 
 
 
 3 52 
 
 4 69 
 
 5 86 
 
 32 
 
 4637 
 
 4809 
 
 4980 
 
 5152 
 
 5323 
 
 5495 
 
 5666 
 
 5838 
 
 6009 
 
 6180 
 
 
 33 
 
 6352 
 
 6523 
 
 6695 
 
 6866 
 
 7038 
 
 7209 
 
 7381 
 
 7552 
 
 7723 
 
 7895 
 
 
 6 103 
 
 34 
 
 8066 
 
 8237 
 
 8409 
 
 8580 
 
 8752 
 
 8923 
 
 9094 
 
 9266 
 
 9437 
 
 9608 
 
 
 7 120 
 
 35 
 
 9780 
 
 9951 
 
 0122 
 
 0294 
 
 0465 
 
 0636 
 
 0807 
 
 0979 
 
 1150 
 
 1321 
 
 
 8 138 
 
 9 155 
 
 36 
 
 4041492 
 
 1664 
 
 1835 
 
 2006 
 
 2177 
 
 2349 
 
 2520 
 
 2691 
 
 2862 
 
 3033 
 
 
 
 37 
 
 3205 
 
 3376 
 
 3547 
 
 3718 
 
 3889 
 
 4061 
 
 4232 
 
 4403 
 
 4574 
 
 4745 
 
 
 
 38 
 
 4916 
 
 5087 
 
 5258 
 
 5429 
 
 5601 
 
 5772 
 
 5943 
 
 6114 
 
 6285 
 
 6456 
 
 
 
 39 
 
 6627 
 
 6798 
 
 6969 
 
 7140 
 
 7311 
 
 7482 
 
 7653 
 
 7824 
 
 7995 
 
 8166 
 
 171 
 
 
 2540 
 
 8337 
 
 8508 
 
 8679 
 
 8«50 
 
 9021 
 
 9192 
 
 9363 
 
 9534 
 
 9705 
 
 9876 
 
 
 
 41 
 
 4050047 
 
 0218 
 
 0388 
 
 0559 
 
 0730 
 
 0901 
 
 1072 
 
 1243 
 
 1414 
 
 1585 
 
 
 
 42 
 
 1755 
 
 1926 
 
 2097 
 
 2268 
 
 2439 
 
 2610 
 
 2780 
 
 2951 
 
 3122 
 
 3293 
 
 
 171 
 
 43 
 
 3464 
 
 3634 
 
 3805 
 
 3976 
 
 4147 
 
 4317 
 
 4488 
 
 4659 
 
 4830 
 
 5000 
 
 
 1 17 
 
 44 
 
 5171 
 
 5342 
 
 5512 
 
 5683 
 
 5854 
 
 6025 
 
 6195 
 
 6366 
 
 6537 
 
 6707 
 
 ' 
 
 I 34 
 } SI 
 
 45 
 
 6878 
 
 7049 
 
 7219 
 
 7390 
 
 7560 
 
 7731 
 
 7902 
 
 8072 
 
 8243 
 
 8413 
 
 ^ 
 
 ) 01 
 
 1 68 
 
 46 
 
 8584 
 
 8755 
 
 8925 
 
 9096 
 
 9266 
 
 9437 
 
 9607 
 
 9778 
 
 9948 
 
 ony 
 
 . 
 
 > 86 
 
 47 
 
 4060289 
 
 0460 
 
 0630 
 
 0801 
 
 0971 
 
 1 1 42 
 
 1312 
 
 1483 
 
 1653 
 
 1824 
 
 ( 
 
 J 103 
 
 48 
 
 1994 
 
 2165 
 
 2335 
 
 2506 
 
 2676 
 
 2846 
 
 3017 
 
 3187 
 
 3358 
 
 3528 
 
 
 120 
 J 137 
 
 49 
 
 3698 
 
 3869 
 
 4039 
 
 4209 
 
 4380 
 
 4550 
 
 4721 
 
 4891 
 
 5061 
 
 5231 
 
 c 
 
 154 
 
 N. 
 
 
 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 ~5~ 
 
 ~6~ 
 
 7 1 8 
 
 9 
 
 D Pts. 
 
N. 25500 L. 406 OF NUMBERS. (37)1 
 
 N. 
 
 2550 
 
 
 
 1 
 
 2 
 5742 
 
 3 
 
 5913 
 
 ()0o3 
 
 5 
 
 0253 
 
 6 
 
 7 
 
 0594 
 
 8 
 
 6764 
 
 9 
 
 6934 
 
 D 
 
 Pro. 
 
 4065402 
 
 5572 
 
 6424 
 
 51 
 
 7105 
 
 7275 
 
 7445 
 
 7615 
 
 7786 
 
 7956 
 
 8120 
 
 8296 
 
 8466 
 
 8637 
 
 
 170 
 
 52 
 
 8807 
 
 8977 
 
 9147 
 
 9317 
 
 9487 
 
 9658 
 
 9828 
 
 9998 
 
 0168 
 
 0338 
 
 
 I 17 
 
 53 
 
 4070508 
 
 0078 
 
 0848 
 
 1018 
 
 1189 
 
 1359 
 
 1529 
 
 1099 
 
 1869 
 
 2039 
 
 
 2 34 
 
 3 61 
 
 4 68 
 
 54 
 
 2209 
 
 2379 
 
 ^549 
 
 2719 
 
 2889 
 
 3059 
 
 3229 
 
 3399 
 
 3569 
 
 3739 
 
 170 
 
 55 
 
 3909 
 
 4079 
 
 4249 
 
 4419 
 
 4589 
 
 4759 
 
 4929 
 
 5099 
 
 5269 
 
 5439 
 
 
 5 85 
 
 56 
 
 5608 
 
 5778 
 
 5948 
 
 6118 
 
 6288 
 
 6458 
 
 0028 
 
 0798 
 
 0908 
 
 7137 
 
 
 6 102 
 
 7 119 
 
 8 136 
 
 51 
 
 7307 
 
 7477 
 
 7647 
 
 7817 
 
 7987 
 
 8156 
 
 8320 
 
 8490 
 
 8000 
 
 8836 
 
 
 58 
 
 9005 
 
 9175 
 
 9345 
 
 9515 
 
 9684 
 
 9854 
 
 0024 
 
 0194 
 
 0303 
 
 0533 
 
 
 9 153 
 
 59 
 
 4080703 
 
 0873 
 
 1042 
 
 1212 
 
 1382 
 
 1551 
 
 1721 
 
 1891 
 
 2000 
 
 2230 
 
 
 
 2560 
 
 2400 
 
 2569 
 
 2739 
 
 2909 
 
 3078 
 
 3248 
 
 3417 
 
 3587 
 
 3757 
 
 3926 
 
 
 
 01 
 
 4096 
 
 4265 
 
 4435 
 
 4604 
 
 4774 
 
 4944 
 
 5113 
 
 5283 
 
 5452 
 
 5622 
 
 
 
 62 
 
 . 5791 
 
 5961 
 
 6130 
 
 ^300 
 
 6469 
 
 6639 
 
 0808 
 
 0978 
 
 7147 
 
 7317. 
 
 
 
 03 
 
 /7486 
 
 7666 
 
 7825 
 
 7994 
 
 8164 
 
 8333 
 
 8503 
 
 8072 
 
 8841 
 
 9011 
 
 
 
 64 
 
 9180 
 
 9350 
 
 9519 
 
 ,9688 
 
 9858 
 
 0027 
 
 0190 
 
 0306 
 
 0535 
 
 0701. 
 
 
 109 
 1 17 
 
 Q5 
 
 4090874 
 
 1043 
 
 1212 
 
 1382 
 
 1551 
 
 1720 
 
 1889 
 
 2059 
 
 2228 
 
 2397 
 
 
 QQ 
 
 2567 
 
 2736 
 
 2905 
 
 3074 
 
 3243 
 
 3413 
 
 3582 
 
 3751 
 
 3920 
 
 4089 
 
 
 2 34 
 
 67 
 
 4259 
 
 4428 
 
 4597 
 
 4766 
 
 4935 
 
 5105 
 
 5274 
 
 5443 
 
 5612 
 
 5781 
 
 
 3 51 
 
 68 
 
 5950 
 
 6119 
 
 6288 
 
 6458 
 
 6627 
 
 6796 
 
 6965 
 
 7134 
 
 7303 
 
 7472 
 
 109 
 
 4 68 
 
 5 85 
 
 6 101 
 
 09 
 
 7641 
 
 7810 
 
 7979 
 
 8148 
 
 8317 
 
 8486 
 
 8055 
 
 8824 
 
 8993 
 
 9162 
 
 
 2570 
 
 9331 
 
 9500 
 
 9669 
 
 9838 
 
 0007 
 
 0176 
 
 0345 
 
 0514 
 
 0683 
 
 0852 
 
 
 7 114 
 
 71 
 
 4101021 
 
 1190 
 
 1359 
 
 1527 
 
 1690 
 
 1865 
 
 2034 
 
 2203 
 
 2372 
 
 2541 
 
 
 8 135 
 
 9 152 
 
 72 
 
 2710 
 
 2878 
 
 3047 
 
 3216 
 
 33S5 
 
 3554 
 
 3723 
 
 3891 
 
 4060 
 
 4229 
 
 
 73 
 
 4398 
 
 4567 
 
 4735 
 
 4904 
 
 5073 
 
 5242 
 
 5410 
 
 5579 
 
 5748 
 
 5917 
 
 
 
 74. 
 
 6035 
 
 6254 
 
 6423 
 
 6592 
 
 6760 
 
 6929 
 
 7098 
 
 7260 
 
 7435 
 
 7604 
 
 
 
 75 
 
 7772 
 
 7941 
 
 8110 
 
 8278 
 
 8447 
 
 8616 
 
 8784 
 
 8953 
 
 9121 
 
 9290 
 
 
 
 76 
 
 9459 
 
 9627 
 
 9796 
 
 9964 
 
 0133 
 
 0301 
 
 0470 
 
 0639 
 
 0807 
 
 0976 
 
 
 
 77 
 
 4111144 
 
 1313 
 
 1481 
 
 1650 
 
 1818 
 
 1987 
 
 2155 
 
 2324 
 
 2492 
 
 2661 
 
 
 
 78 
 
 2829 
 
 2993 
 
 3166 
 
 3334 
 
 3503 
 
 3671 
 
 3840 
 
 4008 
 
 4177 
 
 4345 
 
 
 108 
 
 79 
 
 4513 
 
 4682 
 
 4850 
 
 5019 
 
 5187 
 
 5355 
 
 5524 
 
 5692 
 
 5860 
 
 0029 
 
 
 1 17 
 
 2580 
 
 6197 
 
 6365 
 
 6534 
 
 6702 
 
 0870 
 
 7039 
 
 7207 
 
 7375 
 
 7544 
 
 7712 
 
 
 2 34 
 
 3 50 
 
 4 67 
 
 81 
 
 7880 
 
 8048 
 
 8217 
 
 8385 
 
 8553 
 
 8721 
 
 8890 
 
 9053 
 
 9226 
 
 9394 
 
 
 82 
 
 9562 
 
 9731 
 
 9899 
 
 0067 
 
 0235 
 
 0403 
 
 0571 
 
 0740 
 
 0908 
 
 1070 
 
 
 5 84 
 
 ♦83. 
 
 4121244 
 
 1412 
 
 1580 
 
 1748 
 
 1917 
 
 2085 
 
 2253 
 
 2421 
 
 2589 
 
 2757 
 
 108 
 
 6 101 
 
 81- 
 
 2925 
 
 3093 
 
 3261 
 
 3429 
 
 3597 
 
 3765 
 
 3933 
 
 4101 
 
 4209 
 
 4437 
 
 7118 
 
 8 134 
 
 9 151 
 
 85 
 
 4605 
 
 4773 
 
 4941 
 
 5109 
 
 5277 
 
 5445 
 
 5013 
 
 5781 
 
 5949 
 
 0117 
 
 
 86 
 
 6285 
 
 6453 
 
 6621 
 
 6789 
 
 0957 
 
 7125 
 
 7293 
 
 7461 
 
 7629 
 
 7790 
 
 
 
 87 
 
 7964 
 
 8132 
 
 8300 
 
 8468 
 
 8030 
 
 8804 
 
 8971 
 
 9139 
 
 9307 
 
 9475 
 
 
 
 88 
 
 9643 
 
 9811 
 
 9978 
 
 0146 
 
 0314 
 
 0482 
 
 0049 
 
 0817 
 
 0985 
 
 1153 
 
 
 
 89 
 
 4131321 
 
 1488 
 
 1656 
 
 1824 
 
 1991 
 
 2159 
 
 2327 
 
 2495 
 
 2662 
 
 2830 
 
 
 
 2590 
 
 2998 
 
 3165 
 
 3333 
 
 3501 
 
 3008 
 
 3836 
 
 4004 
 
 4171 
 
 4339 
 
 4507 
 
 
 
 91 
 
 4674 
 
 4842 
 
 5009 
 
 5177 
 
 5345 
 
 5512 
 
 5080 
 
 5847 
 
 6015 
 
 0182 
 
 
 
 92 
 
 6350 
 
 6518 
 
 6885 
 
 6853 
 
 7020 
 
 7188 
 
 7355 
 
 7523 
 
 7690 
 
 7858 
 
 
 167 
 
 93 
 
 8025 
 
 8193 
 
 8360 
 
 8528 
 
 8095 
 
 8863 
 
 9030 
 
 9197 
 
 9365 
 
 9532 
 
 
 1 17 
 
 94 
 
 9700 
 
 9867 
 
 0035 
 
 0202 
 
 0309 
 
 0537 
 
 0704 
 
 0872 
 
 1039 
 
 1200 
 
 
 2 33 
 
 3 50 
 
 95 
 
 4141374 
 
 1541 
 
 1708 
 
 1876 
 
 2043 
 
 2210 
 
 2378 
 
 2545 
 
 2712 
 
 2880 
 
 
 4 67 
 
 96 
 
 3047 
 
 3214 
 
 3381 
 
 3549 
 
 3710 
 
 3883 
 
 4051 
 
 4218 
 
 4385 
 
 4552 
 
 
 5 84 
 
 97 
 
 4719 
 
 4887 
 
 5054 
 
 5221 
 
 5388 
 
 5556 
 
 5723 
 
 5890 
 
 6057 
 
 0224 
 
 
 6 100 
 7117 
 8 134 
 
 98 
 
 6391 
 
 6559 
 
 6726 
 
 6893 
 
 7000 
 
 7227 
 
 7394 
 
 7561 
 
 7729 
 
 7890 
 
 
 99 
 
 N. 
 
 8063 
 
 8230 
 1 
 
 8397 
 2 
 
 8564 
 
 3 
 
 8731 
 4 
 
 8898 
 5 
 
 9005 
 
 6 
 
 9232 
 
 7 
 
 9399 
 8 
 
 9500 
 
 107 
 
 D 
 
 9 150 
 
 Pts. 
 
 
 
 9 
 
(38) LOGARITHMS N. 26000 L.414 
 
 N. 
 
 '2600 
 
 
 
 1 
 
 9901 
 
 2 
 (5068 
 
 3 
 
 0235 
 
 4 
 
 0402 
 
 5 
 
 0569 
 
 6 
 
 0736 
 
 7 
 
 0903 
 
 8 
 
 1070 
 
 9 
 
 D 
 
 167 
 
 Pro. 
 
 4149733 
 
 1237 
 
 
 01 
 
 4151404 
 
 1570 
 
 1737 
 
 1904 
 
 2071 
 
 2238 
 
 2405 
 
 2572 
 
 2739 
 
 2906 
 
 
 167 
 
 02 
 
 3073 
 
 3240 
 
 3407 
 
 3574 
 
 3741 
 
 3907 
 
 4074 
 
 4241 
 
 4408 
 
 4575 
 
 
 1 17 
 
 03 
 
 4742 
 
 4909 
 
 5075 
 
 5242 
 
 5409 
 
 5576 
 
 5743 
 
 5909 
 
 6076 
 
 6243 
 
 
 2 33 
 
 04 
 
 6410 
 
 6577 
 
 6743 
 
 6910 
 
 7077 
 
 7244 
 
 7410 
 
 7577 
 
 7744 
 
 7911 
 
 
 3 50 
 
 4 67 
 
 05 
 
 8077 
 
 8244 
 
 8411 
 
 8577 
 
 8744 
 
 8911 
 
 9077 
 
 9244 
 
 9411 
 
 9577 
 
 ' 
 
 5 84 
 
 0() 
 
 9744 
 
 9911 
 
 0077 
 
 0244 
 
 041 1 
 
 0577 
 
 0744 
 
 0911 
 
 1077 
 
 1244 
 
 
 6 JOO 
 
 07 
 
 4161410 
 
 1577 
 
 1743 
 
 1910 
 
 2077 
 
 2243 
 
 2410 
 
 2576 
 
 2743 
 
 2909 
 
 
 7 117 
 
 8 134 
 
 08 
 
 3076 
 
 3242 
 
 3409 
 
 3575 
 
 3742 
 
 3908 
 
 4075 
 
 4241 
 
 4408 
 
 4574 
 
 
 9 150 
 
 09 
 
 4741 
 
 4907 
 
 5074 
 
 5240 
 
 5407 
 
 5573 
 
 5739 
 
 5906 
 
 6072 
 
 6239 
 
 
 
 2610 
 
 6405 
 
 6571 
 
 6738 
 
 6904 
 
 7071 
 
 7237 
 
 7403 
 
 7570 
 
 7736 
 
 7902 
 
 
 
 11 
 
 8069 
 
 8235 
 
 8401 
 
 8568 
 
 8734 
 
 8900 
 
 9067 
 
 9233 
 
 9399 
 
 9565 
 
 
 
 12 
 
 9732 
 
 9898 
 
 0064 
 
 0231 
 
 0397 
 
 0563 
 
 0729 
 
 0895 
 
 1062 
 
 1228 
 
 
 
 13 
 
 4171394 
 
 1560 
 
 1726 
 
 1893 
 
 2059 
 
 2225 
 
 2391 
 
 2557 
 
 2724 
 
 2890 
 
 
 
 14 
 
 3056 
 
 3222 
 
 3388 
 
 3554 
 
 3720 
 
 3886 
 
 4053 
 
 4219 
 
 4385 
 
 4551 
 
 
 
 15 
 
 4717 
 
 4883 
 
 5049 
 
 5215 
 
 5381 
 
 5547 
 
 5713 
 
 5879 
 
 6045 
 
 6211 
 
 166 
 
 166 
 
 1 17 
 
 2 33 
 
 16 
 
 6377 
 
 6543 
 
 6709 
 
 6875 
 
 7041 
 
 7207 
 
 7373 
 
 7539 
 
 7705 
 
 7871 
 
 
 17 
 
 8037 
 
 8203 
 
 8369 
 
 8535 
 
 8701 
 
 8867 
 
 9033 
 
 9199 
 
 9365 
 
 9531 
 
 
 3 50 
 
 18 
 
 9696 
 
 9862 
 
 0028 
 
 0194 
 
 0360 
 
 0526 
 
 0692 
 
 0857 
 
 1023 
 
 1189 
 
 
 4 66 
 
 19 
 
 4181355 
 
 1521 
 
 1687 
 
 1852 
 
 2018 
 
 2184 
 
 2350 
 
 2516 
 
 2681 
 
 2847 
 
 
 5 83 
 6' 100 
 7 IIG 
 
 2620 
 
 3013 
 
 3179 
 
 3344 
 
 3510 
 
 3676 
 
 3842 
 
 4007 
 
 4173 
 
 4339 
 
 4505 
 
 
 21 
 
 4670 
 
 4836 
 
 5002 
 
 5167 
 
 5333 
 
 5499 
 
 5664 
 
 5830 
 
 5996 
 
 6161 
 
 
 8 133 
 
 22 
 
 6327 
 
 6493 
 
 6658 
 
 6824 
 
 6989 
 
 7155 
 
 7321 
 
 7486 
 
 7652 
 
 7817 
 
 
 9 149 
 
 23 
 
 7983 
 
 8148 
 
 8314 
 
 8480 
 
 8645 
 
 8811 
 
 8976 
 
 9142 
 
 9307 
 
 9473 
 
 
 
 24 
 
 9638 
 
 9804 
 
 9969 
 
 0135 
 
 0300 
 
 0466 
 
 0631 
 
 0797 
 
 0962 
 
 1128 
 
 
 
 25 
 
 4191293 
 
 1459 
 
 1624 
 
 1789 
 
 1955 
 
 2120 
 
 2286 
 
 2451 
 
 2616 
 
 2782 
 
 
 
 26 
 
 2947 
 
 3113 
 
 3278 
 
 3443 
 
 3609 
 
 3774 
 
 3939 
 
 4105 
 
 4270 
 
 4435 
 
 
 
 27 
 
 4601 
 
 4766 
 
 4931 
 
 5097 
 
 5262 
 
 5427 
 
 5593 
 
 5758 
 
 5923 
 
 6088 
 
 
 
 28 
 
 6254 
 
 6419 
 
 6584 
 
 6749 
 
 6915 
 
 7080 
 
 7245 
 
 7410 
 
 7575 
 
 7741 
 
 
 165 
 I 17 
 
 29 
 
 7906 
 
 8071 
 
 8236 
 
 8401 
 
 8567 
 
 8732 
 
 8897 
 
 9062 
 
 9227 
 
 9392 
 
 
 2630 
 
 9557 
 
 9723 
 
 9888 
 
 0053 
 
 0218 
 
 0383 
 
 0548 
 
 0713 
 
 0878 
 
 1043 
 
 
 2 33 
 
 31 
 
 4201208 
 
 1374 
 
 1539 
 
 1704 
 
 1869 
 
 2034 
 
 2199 
 
 2364 
 
 2529 
 
 2694 
 
 
 i 50 
 i 66 
 
 3 PI 
 
 32 
 
 2859 
 
 3024 
 
 3189 
 
 3354 
 
 3519 
 
 3684 
 
 3849 
 
 4014 
 
 4179 
 
 4344 
 
 165 ' 
 
 33 
 
 4509 
 
 4674 
 
 4838 
 
 5003 
 
 5168 
 
 5333 
 
 5498 
 
 5603 
 
 5828 
 
 5993 
 
 ( 
 
 ) 99 
 
 34 
 
 6158 
 
 6323 
 
 6487 
 
 6652 
 
 6817 
 
 6982 
 
 7147 
 
 7312 
 
 7477 
 
 7641 
 
 / 
 
 M16 
 
 35 
 
 7806 
 
 7971 
 
 8136 
 
 8301 
 
 8465 
 
 8630 
 
 8795 
 
 8960 
 
 9125 
 
 9289 
 
 r 
 
 ] 132 
 > 149 
 
 36 
 
 9454 
 
 9619 
 
 9784 
 
 9948 
 
 0113 
 
 0278 
 
 0442 
 
 0607 
 
 0772 
 
 0937 
 
 
 
 37 
 
 4211101 
 
 1266 
 
 1431 
 
 1595 
 
 1760 
 
 1925 
 
 2089 
 
 2254 
 
 2419 
 
 2583 
 
 
 
 38 
 
 2748 
 
 2913 
 
 3077 
 
 3242 
 
 3406 
 
 3571 
 
 3736 
 
 3900 
 
 4065 
 
 4229 
 
 
 
 39 
 
 4394 
 
 4558 
 
 4723 
 
 4888 
 
 5052 
 
 5217 
 
 5381 
 
 5546 
 
 5710 
 
 5875 
 
 
 
 2640 
 
 6039 
 
 6204 
 
 6368 
 
 6533 
 
 6697 
 
 6862 
 
 7026 
 
 7191 
 
 7355 
 
 7520 
 
 
 
 41 
 
 7684 
 
 7848 
 
 8013 
 
 8177 
 
 8342 
 
 8506 
 
 8671 
 
 8835 
 
 8999 
 
 9164 
 
 
 
 42 
 
 9328 
 
 9493 
 
 9657 
 
 9821 
 
 9986 
 
 0150 
 
 0314 
 
 0479 
 
 0643 
 
 0807 
 
 
 164 
 
 43 
 
 4220972 
 
 1136 
 
 1300 
 
 1465 
 
 1629 
 
 1793 
 
 1957 
 
 2122 
 
 2286 
 
 2450 
 
 1 
 
 16 
 
 44 
 
 2615 
 
 2779 
 
 2943 
 
 3107 
 
 3271 
 
 3436 
 
 3600 
 
 3764 
 
 3928 
 
 4093 
 
 '2 
 3 
 
 33 
 4Q 
 
 45 
 
 4257 
 
 4421 
 
 4585 
 
 4749 
 
 4913 
 
 5078 
 
 5242 
 
 5406 
 
 5570 
 
 5734 
 
 4 
 
 'Of 
 
 66 
 
 46 
 
 5898 
 
 6063 
 
 6227 
 
 6391 
 
 6555 
 
 6719 
 
 6883 
 
 7047 
 
 7211 
 
 7375 
 
 
 
 82 
 
 47 
 
 7539 
 
 7703 
 
 7868 
 
 8032 
 
 8196 
 
 8360 
 
 8524 
 
 8688 
 
 8852 
 
 9016 
 
 16^1 
 
 98 
 115 
 131 
 
 48 
 
 9180 
 
 9344 
 
 9508 
 
 9672 
 
 9836 
 
 Oooo 
 
 0164 
 
 0328 
 
 0492 
 
 0656 
 
 49 
 
 4230820 
 
 0984 
 1 
 
 1147 
 
 1311 
 
 3 
 
 1475 
 
 4 
 
 1639 
 
 1803 
 
 6 
 
 1967 
 
 7 
 
 2131 
 8 
 
 2295 
 
 9 
 
 9 
 
 148 
 
 N. 
 
 
 
 2 
 
 1T1 
 
 Pts. 
 
N.^2 
 
 6500 L.423 OF NUMBERS. (39), 
 
 N. 
 
 2050 
 
 
 
 1 
 
 2623 
 
 2780 
 
 3 
 
 2950 
 
 4 
 
 3114 
 
 5 
 
 3278 
 
 6 
 
 3442 
 
 7 
 
 3000 
 
 8 
 
 3770 
 
 9 
 
 D 
 
 Pro. 
 
 4232459 
 
 3933 
 
 51 
 
 4097 
 
 4261 
 
 4425 
 
 4589 
 
 4753 
 
 4916 
 
 5080 
 
 5244 
 
 5408 
 
 5571 
 
 
 163 
 
 52 
 
 5735 
 
 5899 
 
 0003 
 
 6226 
 
 6390 
 
 6554 
 
 6718 
 
 6881 
 
 7045 
 
 7209 
 
 
 1 16 
 
 53 
 
 7372 
 
 7530 
 
 7700 
 
 7864 
 
 8027 
 
 8191 
 
 8355 
 
 8518 
 
 8682 
 
 8846 
 
 
 2 33 
 
 3 49 
 
 4 65 
 
 54 
 
 9009 
 
 9173 
 
 9330 
 
 9500 
 
 9604 
 
 9827 
 
 9991 
 
 0154 
 
 0318 
 
 0482 
 
 
 55 
 
 4240645 
 
 0809 
 
 0972 
 
 1136 
 
 1300 
 
 1463 
 
 1627 
 
 1790 
 
 1954 
 
 2117 
 
 
 5 82 
 
 50 
 
 2281 
 
 2444 
 
 2008 
 
 2771 
 
 2935 
 
 3098 
 
 3202 
 
 3425 
 
 3589 
 
 3752 
 
 
 6 98 
 
 7 114 
 
 8 130 
 
 57 
 
 3916 
 
 4079 
 
 421<2 
 
 4406 
 
 4569 
 
 4733 
 
 4890 
 
 5060 
 
 5223 
 
 5386 
 
 
 58 
 
 5550 
 
 5713 
 
 5877 
 
 6040 
 
 6203 
 
 6367 
 
 0530 
 
 6693 
 
 6857 
 
 7020 
 
 
 9 147 
 
 59 
 
 7183 
 
 7347 
 
 7510 
 
 7673 
 
 7837 
 
 8000 
 
 8103 
 
 8327 
 
 8490 
 
 8053 
 
 
 
 2660 
 
 8816 
 
 8980 
 
 9143 
 
 9306 
 
 9469 
 
 9633 
 
 9790 
 
 9959 
 
 0122 
 
 0280 
 
 
 
 61 
 
 4250449 
 
 0012 
 
 0775 
 
 0938 
 
 1102 
 
 1265 
 
 1428 
 
 1591 
 
 1754 
 
 1917 
 
 
 
 62 
 
 2081 
 
 2244 
 
 2407 
 
 2570 
 
 2733 
 
 2896 
 
 3059 
 
 3222 
 
 3385 
 
 3549 
 
 
 
 dS 
 
 , 3712 
 
 3875 
 
 4038 
 
 4201 
 
 4364 
 
 4527 
 
 409b 
 
 4853 
 
 5016 
 
 5179 
 
 163 
 
 
 64- 
 
 5342 
 
 5505 
 
 5668 
 
 5831 
 
 5994 
 
 6157 
 
 0320 
 
 0483 
 
 6646 
 
 6809 
 
 
 65 
 
 6972 
 
 7135 
 
 7298 
 
 7461 
 
 7624 
 
 7787 
 
 7950 
 
 8113 
 
 8276 
 
 8439 
 
 
 
 66 
 
 8601 
 
 8764 
 
 8927 
 
 9090 
 
 9253 
 
 9416 
 
 9579 
 
 9742 
 
 9904 
 
 0067 
 
 
 
 67 
 
 4260230 
 
 0393 
 
 0556 
 
 0719 
 
 0881 
 
 1044 
 
 1/207 
 
 1370 
 
 1533 
 
 1695 
 
 
 
 68 
 
 1858 
 
 2021 
 
 2184 
 
 2347 
 
 2509 
 
 2072 
 
 2835 
 
 2998 
 
 3160 
 
 3323 
 
 
 
 69 
 
 3486 
 
 3648 
 
 3811 
 
 3974 
 
 4137 
 
 4299 
 
 4402 
 
 4025 
 
 4787 
 
 4950 
 
 
 
 2670 
 
 511-3 
 
 5275 
 
 5438 
 
 5601 
 
 5763 
 
 5920 
 
 0088 
 
 6251 
 
 6414 
 
 6576 
 
 
 
 71 
 
 6739 
 
 6901 
 
 7064 
 
 7227 
 
 7389 
 
 7552 
 
 7714 
 
 7877 
 
 8039 
 
 8202 
 
 
 162 
 
 72 
 
 8365 
 
 8527 
 
 8690 
 
 3852 
 
 9015 
 
 9177 
 
 9340 
 
 9502 
 
 9605 
 
 9827 
 
 
 1 16 
 
 73 
 
 9990 
 
 0152 
 
 0315 
 
 0477 
 
 0639 
 
 0802 
 
 0964 
 
 1127 
 
 1289 
 
 1452 
 
 
 2 32 
 
 74 
 
 4271014 
 
 1776 
 
 1939 
 
 2101 
 
 2264 
 
 2420 
 
 2588 
 
 2751 
 
 2913 
 
 3076 
 
 
 3 49 
 
 4 65 
 
 5 81 
 
 75 
 
 3238 
 
 3400 
 
 3563 
 
 3725 
 
 3887 
 
 4050 
 
 4212 
 
 4374 
 
 4536 
 
 4699 
 
 
 70 
 
 4861 
 
 5023 
 
 5186 
 
 5348 
 
 5510 
 
 5072 
 
 5835 
 
 5997 
 
 6159 
 
 63-21 
 
 
 6 07 
 
 77 
 
 6484 
 
 6646 
 
 6808 
 
 6970 
 
 7133 
 
 7295 
 
 7457 
 
 7019 
 
 7781 
 
 7944 
 
 
 7 113 
 
 78 
 
 8106 
 
 8268 
 
 8430 
 
 8592 
 
 8754 
 
 8917 
 
 9079 
 
 9241 
 
 9403 
 
 9565 
 
 
 8 130 
 
 9 146 
 
 79 
 
 9727 
 
 9889 
 
 0051 
 
 0213 
 
 0376 
 
 0538 
 
 0700 
 
 0802 
 
 1024 
 
 1186 
 
 
 2680 
 
 4281348 
 
 1510 
 
 1672 
 
 1834 
 
 1996 
 
 2158 
 
 2320 
 
 2482 
 
 2044 
 
 2806 
 
 162 
 
 
 81 
 
 2968 
 
 3130 
 
 3292 
 
 3454 
 
 3616 
 
 3778 
 
 3940 
 
 4102 
 
 4204 
 
 4426 
 
 
 
 82 
 
 4588 
 
 4750 
 
 4912 
 
 5073 
 
 5235 
 
 5397 
 
 5559 
 
 5721 
 
 5883 
 
 6045 
 
 
 
 83 
 
 6207 
 
 6369 
 
 6530 
 
 6692 
 
 6854 
 
 7010 
 
 7178 
 
 7340 
 
 7501 
 
 7663 
 
 
 
 84 
 
 7825 
 
 7987 
 
 8149 
 
 8311 
 
 8472 
 
 803,4 
 
 8796 
 
 8958 
 
 9119 
 
 9281 
 
 
 
 85 
 
 9443 
 
 9605 
 
 9766 
 
 9928 
 
 0090 
 
 0252 
 
 0413 
 
 0575 
 
 0737 
 
 0898 
 
 
 
 80 
 
 4291060 
 
 1222 
 
 1383 
 
 1545 
 
 1707 
 
 1808 
 
 2030 
 
 2192 
 
 2353 
 
 2515 
 
 
 
 87 
 
 2677 
 
 2838 
 
 3000 
 
 3162 
 
 3323 
 
 3485 
 
 3646 
 
 3803 
 
 3969 
 
 4131 
 
 
 
 88 
 
 4293 
 
 4454 
 
 4616 
 
 4777 
 
 4939 
 
 5100 
 
 5262 
 
 5423 
 
 5585 
 
 5747 
 
 
 
 89 
 
 5908 
 
 6070 
 
 6231 
 
 6393 
 
 6554 
 
 6715 
 
 6877 
 
 7038 
 
 7200 
 
 7361 
 
 
 
 2690 
 
 7523 
 
 7684 
 
 7846' 
 
 8007 
 
 8169 
 
 8330 
 
 8491 
 
 8053 
 
 8814 
 
 8976 
 
 
 
 91 
 
 9137 
 
 9298 
 
 9460 
 
 9621 
 
 9782 
 
 9944 
 
 0105 
 
 0207 
 
 0428 
 
 0589 
 
 
 
 92 
 
 4300751 
 
 0912 
 
 1073 
 
 1235 
 
 1396 
 
 1557 
 
 1718 
 
 1880 
 
 2041 
 
 2202 
 
 
 161 
 
 93 
 
 2364 
 
 2525 
 
 2680 
 
 2847 
 
 3009 
 
 3170 
 
 3331 
 
 3492 
 
 3653 
 
 3815 
 
 
 1 16 
 
 2 32 
 
 3 48 
 
 94 
 
 3976 
 
 4137 
 
 4298 
 
 4460 
 
 4621 
 
 4782 
 
 4943 
 
 5104 
 
 5265 
 
 5427 
 
 
 95 
 
 5588 
 
 5749 
 
 5910 
 
 6071 
 
 6232 
 
 6393 
 
 6554 
 
 6716 
 
 6877 
 
 7038 
 
 161 
 
 4 64 
 
 90 
 
 7199 
 
 7360 
 
 7521 
 
 7682 
 
 7843 
 
 8004 
 
 8165 
 
 8326 
 
 8487 
 
 8648 
 
 
 5 81 : 
 
 6 97 i 
 
 7 113 i 
 
 97 
 
 8809 
 
 8970 
 
 9132 
 
 9293 
 
 9454 
 
 9615 
 
 9776 
 
 9937 
 
 0098 
 
 0258 
 
 
 98 
 
 4310419 
 
 0580 
 
 0741 
 
 0902 
 
 1063 
 
 1224 
 
 1385 
 
 1546 
 
 1707 
 
 1868 
 
 
 8 129 ' 
 
 99 
 
 N. 
 
 2029 
 
 2190 
 
 1 
 
 2351 
 2 
 
 2512 
 
 3 
 
 2072 
 
 4 
 
 2833 
 
 5 
 
 2994 
 
 6' 
 
 3155 
 
 7 
 
 3316 
 
 8 
 
 3477 
 9 
 
 
 9 145 
 
 
 
 D 
 
 :^ts. 
 
(40] 
 
 LOGARITHMS N. Q/OOO L. 431 
 
 N. 
 
 2700 
 
 1 '' 
 
 1 
 
 3798 
 
 2 
 3959 
 
 3 
 
 4120 
 
 4 
 
 4281 
 
 5 
 
 4442 
 
 6 
 
 4603 
 
 7 
 4763 
 
 8 
 4924 
 
 .9 
 
 5085 
 
 D 
 
 161 
 
 i^TO. 
 
 ^313638 
 
 01 
 
 5246 
 
 5407 
 
 5567 
 
 5728 
 
 5889 
 
 6050 
 
 6210 
 
 637 1 
 
 6532 
 
 6693 
 
 
 161 
 
 02 
 
 6853 
 
 7014 
 
 7175 
 
 7336 
 
 7496 
 
 7657 
 
 7818 
 
 7978 
 
 8139 
 
 8300 
 
 
 1 16 
 
 03 
 
 8460 
 
 8621 
 
 8782 
 
 8942 
 
 9103 
 
 9264 
 
 9424 
 
 9585 
 
 9746 
 
 9906 
 
 
 2 32 
 
 04 
 
 4320067 
 
 0227 
 
 0388 
 
 0549 
 
 0709 
 
 0870 
 
 1030 
 
 1191 
 
 1352 
 
 1512 
 
 
 'i 48 
 4 64 
 
 05 
 
 1673 
 
 1833 
 
 1994 
 
 2154 
 
 2315 
 
 2475 
 
 2636 
 
 2796 
 
 2957 
 
 3117 
 
 
 5 8] 
 
 06 
 
 3278 
 
 3438 
 
 359,9 
 
 3759 
 
 3920 
 
 4080 
 
 4241 
 
 4401 
 
 4562 
 
 4722 
 
 
 6 97 
 
 7 113 
 
 8 129 
 
 07 
 
 4883 
 
 5043 
 
 5203 
 
 5364 
 
 5524 
 
 5685 
 
 5845 
 
 6005 
 
 6166 
 
 6326 
 
 
 08 
 
 6487 
 
 6647 
 
 6807 
 
 6968 
 
 7128 
 
 7288 
 
 7449 
 
 7609 
 
 7769 
 
 7930 
 
 
 9 145 
 
 09 
 
 8090 
 
 8250 
 
 8411 
 
 8571 
 
 8731 
 
 8892 
 
 9052 
 
 9212 
 
 9372 
 
 9533 
 
 
 
 2710 
 
 9693 
 
 9853 
 
 0013 
 
 0174 
 
 0334 
 
 0494 
 
 0654 
 
 0815 
 
 0975 
 
 1135 
 
 
 
 11 
 
 4331295 
 
 1455 
 
 1616 
 
 1776 
 
 1936 
 
 2096 
 
 2256 
 
 2416 
 
 2577 
 
 2737 
 
 
 
 12 
 
 2897 
 
 3057 
 
 3217 
 
 3377 
 
 3537 
 
 3697 
 
 3858 
 
 4018 
 
 4178 
 
 4338 
 
 
 
 13 
 
 4498 
 
 4658 
 
 4818- 
 
 4978 
 
 5138 
 
 5298 
 
 5458 
 
 5618 
 
 5778 
 
 5938 
 
 160 
 
 
 14 
 
 6098 
 
 6258 
 
 6418 
 
 6578 
 
 6738 
 
 6898 
 
 7058 
 
 7218 
 
 7378 
 
 7538 
 
 
 
 15 
 
 7698 
 
 7858 
 
 8018 
 
 8178 
 
 8338 
 
 8498 
 
 8658 
 
 8818 
 
 8978 
 
 9138 
 
 
 
 16 
 
 9298 
 
 9458 
 
 9617 
 
 9777 
 
 9937 
 
 0097 
 
 0257 
 
 0417 
 
 0577 
 
 0737 
 
 
 
 17 
 
 4340896 
 
 1056 
 
 1216 
 
 1376 
 
 1536 
 
 1696 
 
 1855 
 
 2015 
 
 2175 
 
 2335 
 
 
 
 18 
 
 2495 
 
 2654 
 
 2814 
 
 2974 
 
 3134 
 
 3293 
 
 3453 
 
 3613 
 
 3773 
 
 3932 
 
 
 
 19 
 
 4092 
 
 4252 
 
 4412 
 
 4574 
 
 4731 
 
 4891 
 
 5050 
 
 5210 
 
 5370 
 
 5529 
 
 
 
 2720 
 
 5689 
 
 5849 
 
 6008 
 
 6168 
 
 6328 
 
 6487 
 
 6647 
 
 6807 
 
 6966 
 
 7126 
 
 
 
 21 
 
 7285 
 
 7445 
 
 7605 
 
 7764 
 
 7924 
 
 8083 
 
 8243 
 
 8403 
 
 8562 
 
 8722 
 
 
 160 
 
 22 
 
 8881 
 
 9041 
 
 9200 
 
 9360 
 
 9519 
 
 9679 
 
 9838 
 
 9998 
 
 0157 
 
 0317 
 
 
 1 16 
 
 23 
 
 4350476 
 
 0636 
 
 0795 
 
 0955 
 
 1114 
 
 1274 
 
 1433 
 
 1593 
 
 1752 
 
 1912 
 
 
 2 32 
 
 24 
 
 2071 
 
 2230 
 
 2390 
 
 2549 
 
 2709 
 
 2868 
 
 3028 
 
 3187 
 
 3346 
 
 3506 
 
 
 3 48 
 
 4 64 
 
 5 80 
 
 25 
 
 3665 
 
 3824 
 
 3984 
 
 4143 
 
 4303 
 
 4462 
 
 4621 
 
 4781 
 
 4940 
 
 5099 
 
 
 26 
 
 5259 
 
 5418 
 
 5577 
 
 5736 
 
 5896 
 
 6055 
 
 6214 
 
 6374 
 
 6533 
 
 6692 
 
 
 6 96 
 
 27 
 
 6851 
 
 7011 
 
 7170 
 
 7329 
 
 74S8 
 
 7648 
 
 7807 
 
 7966 
 
 8125 
 
 8284 
 
 
 7 112 
 
 28 
 
 8444 
 
 8603 
 
 8762 
 
 8921 
 
 9080 
 
 9240 
 
 9399 
 
 9558 
 
 9717 
 
 9876 
 
 
 8 128 
 
 9 144 
 
 29 
 
 4360035 
 
 0194 
 
 0354 
 
 0513 
 
 0672 
 
 0831 
 
 0990 
 
 1149 
 
 1308 
 
 1467 
 
 
 2730 
 
 1626 
 
 1786 
 
 1945 
 
 2104 
 
 2263 
 
 2422 
 
 2581 
 
 2740 
 
 2899 
 
 3058 
 
 159 
 
 
 31 
 
 3217 
 
 3376 
 
 3535 
 
 3694 
 
 3853 
 
 4012 
 
 4171 
 
 4330 
 
 4489 
 
 4648 
 
 
 
 32 
 
 4807 
 
 4966 
 
 5125 
 
 5284 
 
 5443 
 
 5602 
 
 5761 
 
 5920 
 
 6078 
 
 6237 
 
 
 
 33 
 
 6396 
 
 6555 
 
 6714 
 
 6873 
 
 7032 
 
 7191 
 
 7350 
 
 7509 
 
 7667 
 
 7826 
 
 
 
 34 
 
 7985 
 
 8144 
 
 8303 
 
 8462 
 
 8620 
 
 8779 
 
 8938 
 
 9097 
 
 9256 
 
 9415 
 
 
 
 35 
 
 9573 
 
 9732 
 
 9891 
 
 0050 
 
 0208 
 
 0367 
 
 0526 
 
 0685 
 
 0843 
 
 1002 
 
 
 
 36 
 
 4371161 
 
 1320 
 
 1478 
 
 1637 
 
 1796 
 
 1955 
 
 2113 
 
 2272 
 
 2431 
 
 2589 
 
 
 
 37 
 
 2748 
 
 2907 
 
 3065 
 
 3224 
 
 3383 
 
 3541 
 
 3700 
 
 3859 
 
 4017 
 
 4176 
 
 
 
 38 
 
 4334 
 
 4493 
 
 4652 
 
 4810 
 
 4969 
 
 5127 
 
 5286 
 
 5445 5603 1 
 
 5762 
 
 
 
 39 
 
 5920 
 
 6079 
 
 6237 
 
 6396 
 
 6555 
 
 6713 
 
 6872 
 
 7030 
 
 7189 
 
 7347 
 
 
 
 2740 
 
 7506 
 
 7664 
 
 7823 
 
 7981 
 
 8140 
 
 8298 
 
 8457 
 
 «615 
 
 8773 
 
 8932 
 
 
 
 41 
 
 9090 
 
 9249 
 
 9407 
 
 9566 
 
 9724 
 
 9883 
 
 0041 
 
 0199 
 
 0358 
 
 0516 
 
 
 
 42 
 
 4380675 
 
 0833 
 
 0991 
 
 1150 
 
 1308 
 
 1466 
 
 1625 
 
 1783 
 
 1941 
 
 2100 
 
 
 159 
 
 43 
 
 2258 
 
 2416 
 
 2575 
 
 2733 
 
 2891 
 
 3050 
 
 3208 
 
 3366 
 
 3525 
 
 3683 
 
 
 16 
 
 44 
 
 3841 
 
 3999 
 
 4158 
 
 4316 
 
 4474 
 
 4632 
 
 4791 
 
 4949 
 
 5107 
 
 5265 
 
 
 i 32 
 i 48 
 
 45 
 
 5423 
 
 5582 
 
 5740 
 
 5898 
 
 6056 
 
 6214 
 
 6373 
 
 6531 
 
 6689 
 
 6847 
 
 
 I 64 
 
 46 
 
 7005 
 
 7163 
 
 7322 
 
 7480 
 
 7638 
 
 7796 
 
 7954 
 
 8112 
 
 8270 
 
 8428 
 
 i 
 
 ) 80 
 
 47 
 
 8587 
 
 8745 
 
 8903 
 
 9061 
 
 9219 
 
 9377 
 
 9535 
 
 9693 
 
 9851 
 
 0009 
 
 95 
 1 1 1 
 
 48 ^ 
 
 1.390167 
 
 0325 
 
 0483 
 
 064] 
 
 0799 
 
 0957 
 
 1115 
 
 1273 
 
 143i 
 
 1589 
 
 158 fc 
 
 127 
 
 49 
 
 1747 
 
 1905 2063 
 
 2221 
 
 2379 
 
 2537 
 
 2695 28531 
 
 3011 
 
 3169 
 
 S 
 
 143 
 
 N. 
 
 
 
 1 2 
 
 3 
 
 4 
 
 5 6 1 7 
 
 8 
 
 9 
 
 D" Pts.| 
 
N ^ 
 
 7500 L.439 
 
 OF NUMBERS. 
 
 
 (41) 
 
 
 \ ^ 
 
 N. 
 
 2750 
 
 
 
 1 
 
 3485 
 
 2 
 3643 
 
 3801 
 
 4 
 
 3959 
 
 5 
 
 4116 
 
 6' 
 
 4274 
 
 7 
 
 4432 
 
 8 
 
 4590 
 
 9 
 
 4748 
 
 D 
 
 Pro. 
 
 4393327 
 
 .51 
 
 4906 
 
 5064 
 
 5222 
 
 5379 
 
 5537 
 
 5Q95 
 
 5853 
 
 6011 
 
 6169 
 
 6326 
 
 
 158 
 
 52 
 
 6484 
 
 6642 
 
 6800 
 
 6958 
 
 7115 
 
 1'212> 
 
 7431 
 
 7589 
 
 7747 
 
 7904 
 
 
 1 \Q 
 
 53 
 
 8062 
 
 8220 
 
 8378 
 
 8535 
 
 8693 
 
 8851 
 
 9009 
 
 9166 
 
 9324 
 
 9482 
 
 
 2 32 
 
 3 47 
 
 4 63 
 
 54 
 
 9639 
 
 9797 
 
 9955 
 
 0112 
 
 0270 
 
 0428 
 
 0585 
 
 0743 
 
 0901 
 
 1058 
 
 
 55 
 
 4401216 
 
 1374 
 
 1531 
 
 1689 
 
 1847 
 
 2004 
 
 2162 
 
 2319 
 
 2477 
 
 2635 
 
 
 5 79 
 
 56 
 
 2792 
 
 2950 
 
 3107 
 
 3265 
 
 3422 
 
 3580 
 
 3738 
 
 3895 
 
 4053 
 
 4210 
 
 
 6 95 
 
 7 III 
 
 8 12G 
 
 51 
 
 4368 
 
 4525 
 
 4683 
 
 4840 
 
 4998 
 
 5155 
 
 5313 
 
 5 170 
 
 5628 
 
 5785 
 
 
 58 
 
 5943 
 
 6100 
 
 6258 
 
 6415 
 
 6572 
 
 6730 
 
 6887 
 
 7045 
 
 7202 
 
 7360 
 
 
 9 142 
 
 59 
 
 7517 
 
 7674 
 
 7832 
 
 79S9 
 
 8147 
 
 8304 
 
 8461 
 
 8619 
 
 8770 
 
 8933 
 
 
 
 2760 
 
 9091 
 
 9248 
 
 9406 
 
 9563 
 
 9720 
 
 9878 
 
 0035 
 
 0192 
 
 0349 
 
 0507 
 
 
 
 61 
 
 4410664 
 
 0821 
 
 0979 
 
 1136 
 
 1293 
 
 1450 
 
 1608 
 
 1765 
 
 1922 
 
 2080 
 
 
 
 62 
 
 2237 
 
 2394 
 
 2551 
 
 2708 
 
 2866 
 
 3023 
 
 3180 
 
 3337 
 
 3494 
 
 3652 
 
 
 
 m 
 
 3809 
 
 3966 
 
 4123 
 
 4280 
 
 4438 
 
 4595 
 
 4752 
 
 4909 
 
 5066 
 
 5223 
 
 
 
 64 
 
 53.80 
 
 5538 
 
 5695 
 
 5852 
 
 6009 
 
 6166 
 
 6323 
 
 6480 
 
 6637 
 
 6794 
 
 
 
 Q5 
 
 6951 
 
 7108 
 
 7265 
 
 7423 
 
 7580 
 
 7737 
 
 7894 
 
 8051 
 
 8208 
 
 8365 
 
 157 
 
 
 QQ 
 
 8522 
 
 8679 
 
 8836 
 
 8993 
 
 9150 
 
 9307 
 
 9464 
 
 9621 
 
 9778 
 
 9935 
 
 
 67 
 
 4420092 
 
 0249 
 
 0405 
 
 0562 
 
 0719 
 
 0876 
 
 1033 
 
 1190 
 
 1347 
 
 1504 
 
 
 
 68 
 
 1661 
 
 1818 
 
 1975 
 
 2132 
 
 2288 
 
 2445 
 
 2602 
 
 2759 
 
 2916 
 
 3073 
 
 
 
 69 
 
 3230 
 
 3386 
 
 3543 
 
 3700 
 
 3857 
 
 4014 
 
 4171 
 
 4327 
 
 4484 
 
 4641 
 
 
 
 2770 
 
 4798 
 
 4954 
 
 5111 
 
 5268 
 
 5425 
 
 5582 
 
 5738 
 
 5895 
 
 6052 
 
 6209 
 
 
 
 71 
 
 mQ5 
 
 6522 
 
 6679 
 
 6835 
 
 6992 
 
 7149 
 
 7306 
 
 7462 
 
 7619 
 
 7776 
 
 
 157 
 
 72 
 
 7932 
 
 8089 
 
 8246 
 
 8402 
 
 8559 
 
 8716 
 
 8872 
 
 9029 
 
 9185 
 
 9342 
 
 
 I 16 
 
 73 
 
 9499 
 
 9655 
 
 9812 
 
 9969 
 
 0J25 
 
 0282 
 
 0438 
 
 0595 
 
 0751 
 
 0908 
 
 
 2 31 
 
 74 
 
 4431065 
 
 1221 
 
 1378 
 
 1534 
 
 1691 
 
 1847 
 
 2004 
 
 2160 
 
 2317 
 
 2473 
 
 
 3 47 
 
 75 
 
 2630 
 
 2786 
 
 2943 
 
 3099 
 
 3256 
 
 3412 
 
 3569 
 
 3725 
 
 3882 
 
 4038 
 
 
 4 63 
 
 5 79 
 
 76 
 
 4195 
 
 4351 
 
 4507 
 
 4664 
 
 4820 
 
 4977 
 
 5133 
 
 5290 
 
 5446 
 
 5602 
 
 
 6 94 
 
 77 
 
 5759 
 
 5915 
 
 6072 
 
 6228 
 
 6384 
 
 6541 
 
 6697 
 
 6853 
 
 7010 
 
 7166 
 
 
 7 110 
 
 78 
 
 7322 
 
 7479 
 
 7635 
 
 7791 
 
 7948 
 
 8104 
 
 8260 
 
 8417 
 
 8573 
 
 8729 
 
 
 8 126 
 
 79 
 
 8885 
 
 9042 
 
 9198 
 
 9354 
 
 9511 
 
 9667 
 
 9823 
 
 9979 
 
 0136 
 
 0292 
 
 
 9 141 
 
 2780 
 
 4440448 
 
 0604 
 
 0760 
 
 0917 
 
 1073 
 
 1229 
 
 1385 
 
 1541 
 
 1698 
 
 1854 
 
 
 
 81 
 
 2010 
 
 2166 
 
 2322 
 
 2478 
 
 2635 
 
 2791 
 
 2947 
 
 3103 
 
 3259 
 
 3415 
 
 
 
 82 
 
 3571 
 
 3727 
 
 3883 
 
 4040 
 
 4196 
 
 4352 
 
 4508 
 
 4664 
 
 4820 
 
 4976 
 
 156 
 
 
 83 
 
 5132 
 
 5288 
 
 5444 
 
 5600 
 
 5756 
 
 5912 
 
 6068 
 
 6224 
 
 6380 
 
 Q53Q 
 
 
 84 
 
 6692 
 
 6848 
 
 7004 
 
 7160 
 
 7316 
 
 7472 
 
 7628 
 
 7784 
 
 7940 
 
 8096 
 
 
 
 85 
 
 8252 
 
 8408 
 
 8564 
 
 8720 
 
 8876 
 
 9032 
 
 9188 
 
 9343 
 
 9499 
 
 m55 
 
 
 
 86 
 
 9811 
 
 9967 
 
 0123 
 
 0279 
 
 0435 
 
 0590 
 
 0746 
 
 0902 
 
 1058 
 
 1214 
 
 
 
 87 
 
 4451370 
 
 1526 
 
 1681 
 
 1837 
 
 1993 
 
 2149 
 
 2305 
 
 2460 
 
 2616 
 
 2772 
 
 
 
 88 
 
 2928 
 
 3083 
 
 3239 
 
 3395 
 
 3551 
 
 3706 
 
 3862 
 
 4018 
 
 4174 
 
 43291 
 
 
 
 89 
 
 4485 
 
 4641 
 
 4797 
 
 4952 
 
 5108 
 
 5264 
 
 5419 
 
 5575 
 
 5731 
 
 5886! 
 
 
 
 2790 
 
 6042 
 
 6198 
 
 6353 
 
 6509 
 
 Q6Q5 
 
 6820 
 
 6976 
 
 7132 
 
 7287 
 
 7443 
 
 
 
 01 
 
 7598 
 
 7754 
 
 7910 
 
 8065 
 
 8221 
 
 8376 
 
 85:?2 
 
 8687 
 
 8843 
 
 8999 
 
 
 
 92 
 
 9154 
 
 9310 
 
 9465 
 
 9621 
 
 9776 
 
 9932 
 
 0037 
 
 0243 
 
 0398 
 
 0554 
 
 
 156. 
 
 93 
 
 4460709 
 
 0865 
 
 1020 
 
 1176 
 
 1331 
 
 1 487 
 
 1642 
 
 1798 
 
 1953 
 
 2109 
 
 
 I IS 
 
 94 
 
 2264 
 
 2419 
 
 2575 
 
 2730 
 
 2886 
 
 3041 
 
 3197 
 
 3352 
 
 3507 
 
 3663 
 
 
 2 31 
 
 3 47 
 
 4 62 
 
 95 
 
 3818 
 
 3974 
 
 4129 
 
 4284 
 
 4440 
 
 4595 
 
 4750 
 
 4906 
 
 5061 
 
 5216 
 
 
 96 
 
 5372 
 
 5527 
 
 5682 
 
 5838 
 
 5993 
 
 6148 
 
 6304 
 
 6459 
 
 6614 
 
 6769 
 
 
 5 78 
 
 97 
 
 6925 
 
 7080 
 
 7235 
 
 7390 
 
 7546 
 
 7701 
 
 7856 
 
 8011 
 
 8167 
 
 8322 
 
 
 6 94 
 
 7 !09 
 
 8 12") 
 
 98 
 
 8477 
 
 8632 
 
 8788 
 
 8943 
 
 9098 
 
 9253 
 
 9408 
 
 9363 
 
 9719 
 
 9874 
 
 
 99 
 
 N. 
 
 4470029 
 
 0184 0339| 
 
 0494 
 
 0650 
 
 "IT 
 
 0805 
 
 5 
 
 0960 
 
 6 
 
 1115 
 
 1270 
 
 1425 
 
 1) 
 
 9 140 j 
 Pts. i 
 
 
 
 1 
 
 ~2~l 
 
 7 
 
 IT 
 
 2G 
 
(4^2) 
 
 LOGARITHMS N. ^8000 L. 44? 
 
 'N. 
 
 280Q 
 
 
 
 1 
 
 1735 
 
 2 
 
 1891 
 
 3 
 
 2046 
 
 4 
 
 2201 
 
 5 
 
 2356 
 
 6 
 
 2511 
 
 7 
 
 2666 
 
 8 
 
 2821 
 
 9 
 
 2976 
 
 J) 
 
 Pro. 
 
 4471580 
 
 01 
 
 3131 
 
 3286 
 
 3441 
 
 3596 
 
 3751 
 
 3906 
 
 4061 
 
 4216 
 
 4371 
 
 4526 
 
 
 155 
 
 02 
 
 4681 
 
 4836 
 
 4991 
 
 5146 
 
 5301 
 
 5456 
 
 5611 
 
 5766 
 
 5921 
 
 6076 
 
 155 
 
 1 16 
 
 03 
 
 6231 
 
 6386 
 
 6541 
 
 6696 
 
 6851 
 
 7006 
 
 7161 
 
 7315 
 
 7470 
 
 7625 
 
 
 2 31 
 
 04- 
 
 7780 
 
 7935 
 
 8090 
 
 8245 
 
 8400 
 
 8554 
 
 8709 
 
 8864 
 
 9019 
 
 9174 
 
 
 3 47 
 
 4 62 
 
 05 
 
 9329 
 
 9483 
 
 9638 
 
 9793 
 
 9948 
 
 0103 
 
 0258 
 
 0412 
 
 0567 
 
 0722 
 
 
 5 78 
 
 06 
 
 4480877 
 
 1031 
 
 1186 
 
 1341 
 
 1496 
 
 1650 
 
 1805 
 
 1960 
 
 2115 
 
 2269 
 
 
 6 93 
 
 7 109 
 
 8 124 
 
 07 
 
 2424 
 
 2579 
 
 2734 
 
 2888 
 
 3043 
 
 3198 
 
 3352 
 
 3507 
 
 3662 
 
 3816 
 
 
 08 
 
 3971 
 
 4126 
 
 4280 
 
 4435 
 
 4590 
 
 4744 
 
 4899 
 
 5054 
 
 5208 
 
 5363 
 
 
 9 140 
 
 09 
 
 5517 
 
 5672 
 
 5827 
 
 5981 
 
 6136 
 
 6290 
 
 6445 
 
 6600 
 
 6754 
 
 6909 
 
 
 
 2810 
 
 7063 
 
 7218 
 
 7372 
 
 7527 
 
 7681 
 
 7836 
 
 7990 
 
 8145 
 
 8299 
 
 8454 
 
 
 
 11 
 
 8608 
 
 8763 
 
 8917 
 
 9072 
 
 9226 
 
 9381 
 
 9535 
 
 9690 
 
 9844 
 
 9999 
 
 
 
 12 
 
 4490153 
 
 0308 
 
 01-62 
 
 0616 
 
 0771 
 
 0925 
 
 1080 
 
 1234 
 
 1389 
 
 1543 
 
 
 
 13 
 
 1697 
 
 1852 
 
 2006 
 
 2160 
 
 2315 
 
 2469 
 
 2624 
 
 2778 
 
 2932 
 
 3087 
 
 
 
 14 
 
 3241 
 
 3395 
 
 3550 
 
 3704 
 
 3858 
 
 4013 
 
 4167 
 
 4321 
 
 4475 
 
 4630 
 
 
 
 15 
 
 4784 
 
 4938 
 
 5093 
 
 5247 
 
 5401 
 
 5555 
 
 5710 
 
 5864 
 
 6018 
 
 6172 
 
 
 
 16 
 
 6327 
 
 6481 
 
 6635 
 
 6789 
 
 6943 
 
 7098 
 
 7252 
 
 7406 
 
 7560 
 
 7714 
 
 
 
 17 
 
 7868 
 
 8023 
 
 8177 
 
 8331 
 
 8485 
 
 8639 
 
 8793 
 
 8948 
 
 9102 
 
 9256 
 
 
 
 18 
 
 9410 
 
 9564 
 
 9718 
 
 9872 
 
 0026 
 
 0180 
 
 0334 
 
 0489 
 
 0643 
 
 0797 
 
 
 
 19 
 
 4500951 
 
 1105 
 
 1259 
 
 1413 
 
 1567 
 
 1721 
 
 1875 
 
 2029 
 
 2183 
 
 2337 
 
 154 
 
 
 2820 
 
 2491 
 
 2645 
 
 2799 
 
 2953 
 
 3107 
 
 3261 
 
 3415 
 
 3569 
 
 3723 
 
 3877 
 
 
 21 
 
 4031 
 
 4185 
 
 4339 
 
 4493 
 
 4647 
 
 4801 
 
 4954 
 
 5108 
 
 5262 
 
 5416 
 
 
 154 
 
 22 
 
 5570 
 
 5724 
 
 5878 
 
 6032 
 
 6186 
 
 6340 
 
 6493 
 
 6647 
 
 6801 
 
 6955 
 
 
 1 15 
 
 23 
 
 7109 
 
 7263 
 
 7416 
 
 7570 
 
 7724 
 
 7878 
 
 8032 
 
 8186 
 
 8339 
 
 8493 
 
 
 2 31 
 
 24 
 
 8647 
 
 8801 
 
 8954 
 
 9108 
 
 9262 
 
 9416 
 
 9570 
 
 9723 
 
 9877 
 
 0031 
 
 
 3 46 
 
 4 62 
 
 5 77 
 
 25 
 
 45 J 01 85 
 
 0338 
 
 0492 
 
 0646 
 
 0799 
 
 0953 
 
 1107 
 
 1261 
 
 1414 
 
 1568 
 
 
 26 
 
 1722 
 
 1875 
 
 2029 
 
 2183 
 
 2336 
 
 2490 
 
 2644 
 
 2797 
 
 2951 
 
 3104 
 
 
 6 92 
 
 27 
 
 3258 
 
 3412 
 
 3565 
 
 3719 
 
 3873 
 
 4026 
 
 4180 
 
 4333 
 
 4487. 
 
 4640 
 
 
 7 108 
 
 28 
 
 4794 
 
 4948 
 
 5101 
 
 5255 
 
 5408 
 
 5562 
 
 5715 
 
 5869 
 
 6022 
 
 6176 
 
 
 8 123 
 
 9 139 
 
 29 
 
 6329 
 
 6483 
 
 6636 
 
 6790 
 
 6943 
 
 7097 
 
 7250 
 
 7404 
 
 7557 
 
 7711 
 
 
 2830 
 
 7864 
 
 8018 
 
 8171 
 
 8325 
 
 8478 
 
 8632 
 
 8785 
 
 8938 
 
 9092 
 
 9245 
 
 
 
 31 
 
 9399 
 
 9552 
 
 9705 
 
 9859 
 
 0012 
 
 0166 
 
 0319 
 
 0472 
 
 0626 
 
 0779 
 
 
 
 32 
 
 4520932 
 
 1086 
 
 1239 
 
 1393 
 
 1546 
 
 1699 
 
 1853 
 
 2006 
 
 2159 
 
 2312 
 
 
 
 33 
 
 2466 
 
 2619 
 
 2772 
 
 2926 
 
 3079 
 
 3232 
 
 3385 
 
 3539 
 
 3692 
 
 3845 
 
 
 
 34 
 
 3998 
 
 4152 
 
 4305 
 
 4458 
 
 4611 
 
 4765 
 
 4918 
 
 5071 
 
 5224 
 
 5377 
 
 
 
 35 
 
 5531 
 
 5684 
 
 5837 
 
 5990 
 
 6143 
 
 6297 
 
 6450 
 
 6603 
 
 6756 
 
 6909 
 
 
 
 36 
 
 7062 
 
 7215 
 
 7369 
 
 7522 
 
 7675 
 
 7828 
 
 7981 
 
 8134 
 
 8287 
 
 8440 
 
 
 
 37 
 
 8593 
 
 8746 
 
 8900 
 
 9053 
 
 9206 
 
 9359 
 
 9512 
 
 9665 
 
 9818 
 
 9971 
 
 153 
 
 
 38 
 
 4530124 
 
 0277 
 
 0430 
 
 0583 
 
 0736 
 
 0889 
 
 1042 
 
 1195 
 
 1348 
 
 1501 
 
 
 39 
 
 1654 
 
 1807 
 
 1960 
 
 2113 
 
 2266 
 
 2419 
 
 2572 
 
 2725 
 
 2878 
 
 3030 
 
 
 
 2840 
 
 3183 
 
 3336 
 
 3489 
 
 3642 
 
 3795 
 
 3948 
 
 4101 
 
 4254 
 
 4407 
 
 4559 
 
 
 
 41 
 
 4712 
 
 4865 
 
 5018 
 
 5171 
 
 5324 
 
 5477 
 
 5629 
 
 5782 
 
 5935 
 
 6088 
 
 
 
 42 
 
 6241 
 
 6394 
 
 6546 
 
 6699 
 
 6852 
 
 7005 
 
 7158 
 
 7310 
 
 7463 
 
 7616 
 
 
 153 
 
 43 
 
 7769 
 
 7921 
 
 8074 
 
 8227 
 
 8380 
 
 8532 
 
 8685 
 
 8838 
 
 8990 
 
 9143 
 
 
 1 15 
 
 44 
 
 9296 
 
 9449 
 
 9601 
 
 9754 
 
 9907 
 
 0059 
 
 0212 
 
 0365 
 
 0517 
 
 0670 
 
 
 2 31 
 
 3 46 
 
 45 
 
 4540823 
 
 0975 
 
 1128 
 
 1281 
 
 1433 
 
 1586 
 
 1739 
 
 1891 
 
 2044 
 
 2196 
 
 
 4 61 
 
 46 
 
 2349 
 
 2502 
 
 2654 
 
 2807 
 
 2959 
 
 3112 
 
 3264 
 
 3417 
 
 3570 
 
 3722 
 
 
 5 77 
 
 47 
 
 3875 
 
 4027 
 
 4180 
 
 4332 
 
 4485 
 
 4637 
 
 4790 
 
 4942 
 
 5095 
 
 5247 
 
 
 6 92 
 
 7 107 
 
 8 122 
 
 48 
 
 5400 
 
 5552 
 
 5705 
 
 5857 
 
 6010 
 
 6162 
 
 6315 
 
 6467 
 
 6620 
 
 6772 
 
 
 49 
 
 N. 
 
 . 6924 
 
 7077 
 1 
 
 7229 
 2 
 
 7382 
 
 3 
 
 7534 
 4 
 
 7687 
 
 7839 
 
 7991 
 
 8144 
 
 8 
 
 8296 
 
 9 
 
 D 
 
 9 138 
 
 Pts. 
 
 
 
 5 
 
 6 
 
 7 
 
N.28500L. 454 of numbers. (43)| 
 
 N. 
 
 2850 
 
 
 
 1 
 
 8601 
 
 2 
 8753 
 
 3 
 
 8906 
 
 4 
 
 9058 
 
 5 
 
 9210 
 
 6 
 
 9363 
 
 7 
 
 9515 
 
 8 
 9668 
 
 9 
 
 9820 
 
 D 
 
 Pro. 
 
 4548449 
 
 51 
 
 9972 
 
 0125 
 
 0277 
 
 0429 
 
 0581 
 
 0734 
 
 0386 
 
 1038 
 
 1191 
 
 1343 
 
 
 152 
 
 52 
 
 4551495 
 
 1647 
 
 1800 
 
 1952 
 
 2104 
 
 2257 
 
 2409 
 
 2561 
 
 2713 
 
 2865 
 
 
 1 15 
 
 53 
 
 3018 
 
 3170 
 
 3322 
 
 3474 
 
 3627 
 
 3779 
 
 3931 
 
 4083 
 
 4235 
 
 4388 
 
 
 2 30 
 
 3 46 
 
 4 61 
 
 54. 
 
 4540 
 
 4692 
 
 4844 
 
 4996 
 
 5148 
 
 5300 
 
 5453 
 
 5605 
 
 5757 
 
 5909 
 
 
 55 
 
 6061 
 
 6213 
 
 6365 
 
 6517 
 
 6670 
 
 6822 
 
 6974 
 
 7126 
 
 7278 
 
 7430 
 
 
 5 76 
 
 56 
 
 7582 
 
 7734 
 
 7886 
 
 8038 
 
 8190 
 
 8342 
 
 8494 
 
 8646 
 
 8798 
 
 8950 
 
 
 S 91 
 7 106 
 i 122 
 
 57 
 
 9102 
 
 9254 
 
 9406 
 
 9558 
 
 9710 
 
 9862 
 
 0014 
 
 0166 
 
 0318 
 
 0470 
 
 152 
 
 58 
 
 4560622 
 
 0774 
 
 0926 
 
 1078 
 
 1230 
 
 1382 
 
 1534 
 
 1686 
 
 1838 
 
 1990 
 
 9 137 
 
 59 
 
 2142 
 
 2293 
 
 2445 
 
 2597 
 
 2749 
 
 2901 
 
 3053 
 
 3205 
 
 3357 
 
 350S 
 
 
 
 2860 
 
 3660 
 
 3812 
 
 3964 
 
 4116 
 
 4268 
 
 4420 
 
 4571 
 
 4723 
 
 4875 
 
 5027 
 
 
 
 61 
 
 51.79 
 
 5330 
 
 5482 
 
 5634 
 
 5786 
 
 5938 
 
 6089 
 
 6241 
 
 6393 
 
 6545 
 
 
 
 62 
 
 6696 
 
 6 848 
 
 7000 
 
 7152 
 
 7303 
 
 7455 
 
 7607 
 
 7758 
 
 7910 
 
 8062 
 
 
 
 63 
 
 8213 
 
 8365 
 
 8517 
 
 8669 
 
 8820 
 
 8972 
 
 9124 
 
 9275 
 
 9427 
 
 957 8 
 
 
 
 64 
 
 9730 
 
 9882 
 
 0033 
 
 0185 
 
 0337 
 
 0488 
 
 0640 
 
 0791 
 
 0943 
 
 1095 
 
 
 
 65 
 
 4571246 
 
 1398 
 
 1549 
 
 1701 
 
 1853 
 
 2004 
 
 2156 
 
 2307 
 
 2459 
 
 2610 
 
 
 
 66 
 
 2762 
 
 2913 
 
 3065 
 
 3216 
 
 3368 
 
 3519 
 
 3671 
 
 3822 
 
 3974 
 
 4125 
 
 
 
 61 
 
 4277 
 
 4428 
 
 4580 
 
 4731 
 
 4883 
 
 5034 
 
 5186 
 
 5337 
 
 5489 
 
 5640 
 
 
 
 68 
 
 5791 
 
 5943 
 
 6094 
 
 6246 
 
 6397 
 
 6549 
 
 6700 
 
 6851 
 
 7003 
 
 7154 
 
 
 
 69 
 
 7305 
 
 7457 
 
 7608 
 
 7760 
 
 7911 
 
 8062 
 
 8214 
 
 8365 
 
 8516 
 
 8668 
 
 
 
 2870 
 
 8819 
 
 8970 
 
 9122 
 
 9273 
 
 9424 
 
 9576 
 
 9727 
 
 9878 
 
 0029 
 
 0181 
 
 
 
 71 
 
 4580332 
 
 0483 
 
 0634 
 
 0786 
 
 0937 
 
 1088 
 
 1239 
 
 1391 
 
 1542 
 
 1693 
 
 
 151 
 
 72 
 
 1844 
 
 1990 
 
 2147 
 
 2298 
 
 2449 
 
 2600 
 
 2752 
 
 2903 
 
 3054 
 
 3205 
 
 
 1 15 
 
 73 
 
 S356 
 
 3507 
 
 3659 
 
 3810 
 
 3961 
 
 4112 
 
 4263 
 
 4414 
 
 4565 
 
 4717 
 
 
 2 30 
 
 74 
 
 4S68 
 
 5019 
 
 5170 
 
 5321 
 
 5472 
 
 5623 
 
 5774 
 
 5925 
 
 6076 
 
 6227 
 
 
 3 45 
 
 4 60 
 
 75 
 
 6378 
 
 6530 
 
 6681 
 
 6832 
 
 6983 
 
 7134 
 
 7285 
 
 7436 
 
 7587 
 
 7738 
 
 151 
 
 5 76 
 
 76 
 
 7889 
 
 8040 
 
 8191 
 
 8342 
 
 8493 
 
 8644 
 
 8795 
 
 8946 
 
 9097 
 
 9248 
 
 6 91 
 
 77 
 
 9399 
 
 9550 
 
 9701 
 
 9851 
 
 0002 
 
 0153 
 
 0304 
 
 0455 
 
 0606 
 
 0757 
 
 
 7 106 
 
 78 
 
 4590908 
 
 1059 
 
 1210 
 
 1361 
 
 1511 
 
 1662 
 
 1813 
 
 1964 
 
 2115 
 
 2266 
 
 
 8 121 
 
 9 136 
 
 79 
 
 2417 
 
 2567 
 
 2718 
 
 2869 
 
 3020 
 
 3171 
 
 3322 
 
 3472 
 
 3623 
 
 3774 
 
 
 
 2880 
 
 3925 
 
 4076 
 
 4226 
 
 4377 
 
 4528 
 
 4679 
 
 4830 
 
 4980 
 
 5131 
 
 5282 
 
 
 
 81 
 
 5433 
 
 5583 
 
 5734 
 
 5885 
 
 6036 
 
 6186 
 
 6337 
 
 6488 
 
 6638 
 
 6789 
 
 
 
 82 
 
 6940 
 
 7090 
 
 7241 
 
 7392 
 
 7542 
 
 7693 
 
 7844 
 
 7994 
 
 8145 
 
 8296 
 
 
 
 83 
 
 8446 
 
 8597 
 
 8748 
 
 8898 
 
 9049 
 
 9200 
 
 9350 
 
 9501 
 
 9651 
 
 9802 
 
 
 
 84 
 
 9953 
 
 0103 
 
 0254 
 
 0404 
 
 0555 
 
 0705 
 
 0856 
 
 1007 
 
 1157 
 
 1308 
 
 
 
 ' 85 
 
 4601458 
 
 1609 
 
 1759 
 
 1910 
 
 2060 
 
 2211 
 
 2361 
 
 2512 
 
 2662 
 
 2813 
 
 
 
 86 
 
 2963 
 
 3114 
 
 3264 
 
 3415 
 
 3565 
 
 3716 
 
 3866 
 
 4017 
 
 4167 
 
 4317 
 
 
 
 87 
 
 4468 
 
 4618 
 
 4769 
 
 4919 
 
 5070 
 
 5220 
 
 5370 
 
 5521 
 
 5671 
 
 5822 
 
 
 
 88 
 
 5972 
 
 6122 
 
 6273 
 
 6423 
 
 6573 
 
 6721^ 
 
 6874 
 
 7024 
 
 7175 
 
 7325 
 
 
 
 89 
 
 7475 
 
 7626 
 
 7776 
 
 7926 
 
 8077 
 
 8227 
 
 8377 
 
 8528 
 
 8678 
 
 8828 
 
 
 
 2890 
 
 8978 
 
 9129 
 
 9279 
 
 9429 
 
 9579 
 
 9730 
 
 9880 
 
 0030 
 
 0180 
 
 0331 
 
 
 
 01 
 
 4610481 
 
 0631 
 
 0781 
 
 0932 
 
 1082 
 
 1232 
 
 1382 
 
 1532 
 
 1683 
 
 1833 
 
 
 
 92 
 
 1983 
 
 2133 
 
 2283 
 
 2433 
 
 2584 
 
 2734 
 
 2884 
 
 3034 
 
 31S4 
 
 3334 
 
 
 150 
 
 93 
 
 348 4- 
 
 3634 
 
 3785 
 
 3935 
 
 4085 
 
 4235 
 
 4385 
 
 4535 
 
 4685 
 
 4835 
 
 
 1 15 
 
 94 
 
 4985 
 
 5135 
 
 5285 
 
 5435 
 
 5585 
 
 5736 
 
 5886 
 
 6036 
 
 6186 
 
 6336 
 
 150 
 
 2 30 
 
 3 45 
 
 95 
 
 6486 
 
 6636 
 
 6786 
 
 6936 
 
 7086 
 
 7236 
 
 7386 
 
 7536 
 
 7686 
 
 7836 
 
 
 4 60 
 
 96 
 
 7986 
 
 8136 
 
 8285 
 
 8435 
 
 8585 
 
 8735 
 
 8885 
 
 9035 
 
 9185 
 
 9335 
 
 
 b 7b 
 
 97 
 
 9485 
 
 9635 
 
 9785 
 
 9935 
 
 0085 
 
 0234 
 
 0384 
 
 0534 
 
 0684 
 
 0834 
 
 
 S 90 
 
 7 105 
 B 120 
 
 98 
 
 4620984 
 
 1134 
 
 1284 
 
 1433 
 
 1583 
 
 1733 
 
 1883 
 
 2033 
 
 2183 
 
 2332 
 
 
 99 
 
 N. 
 
 2482 
 
 2632 
 
 1 
 
 2782 
 2 
 
 2932 
 3 
 
 3081 
 
 4 
 
 3231 
 5 
 
 3381 
 
 6 
 
 3531 
 
 7 
 
 3680 
 8 
 
 3830 
 9 
 
 D 
 
 ? 135 
 PtS. 
 
 
 
 2 G 2 
 
i44) 
 
 LOGAKITHMS N. 1^^000 L. 462 
 
 N. 
 
 2,100 
 
 
 
 1 
 4130 
 
 2 
 4279 
 
 3 
 
 4429 
 
 4 
 
 4579 
 
 5 
 
 4729 
 
 6 
 
 4878 
 
 7 
 
 5028 
 
 8 
 
 5178 
 
 5328 
 
 D 
 
 Pro. 
 
 4623980 
 
 01 
 
 54.77 
 
 5627 
 
 5777 
 
 5926 
 
 6076 
 
 6226 
 
 6375 
 
 6525 
 
 6675 
 
 6824 
 
 
 150 
 
 O'J 
 
 6974 
 
 7 1 24 
 
 7273 
 
 7423 
 
 7573 
 
 7722 
 
 7872 
 
 8022 
 
 8171 
 
 8321 
 
 
 1 15 
 
 0.3 
 
 8470 
 
 3620 
 
 8770 
 
 8919 
 
 9069 
 
 9218 
 
 9368 
 
 9517 
 
 9667 
 
 9817 
 
 
 2 30 
 
 04 
 
 9966 
 
 0116 
 
 0265 
 
 0415 
 
 0564 
 
 0714 
 
 0863 
 
 1013 
 
 1162 
 
 1312 
 
 
 3 45 
 
 4 60 
 
 05 
 
 4631461 
 
 1611 
 
 1760 
 
 1910 
 
 2059 
 
 2209 
 
 2358 
 
 2508 
 
 2657 
 
 2807 
 
 
 5 75 
 
 06 
 
 2956 
 
 3106 
 
 3255 
 
 3404 
 
 3554 
 
 3703 
 
 3853 
 
 4002 
 
 4152 
 
 4301 
 
 
 6 90 
 
 07 
 
 4450 
 
 4600 
 
 4749 
 
 4898 
 
 5048 
 
 5197 
 
 5347 
 
 5496 
 
 5645 
 
 5795 
 
 
 7 105 
 
 8 120 
 
 9 135 
 
 08 
 
 5944 
 
 6095 
 
 6243 
 
 6392 
 
 6541 
 
 6691 
 
 6840 
 
 6989 
 
 7139 
 
 7288 
 
 
 09 
 
 7437 
 
 7587 
 
 7736 
 
 7885 
 
 8034 
 
 8184 
 
 8333 
 
 8482 
 
 8631 
 
 8781 
 
 
 
 2910 
 
 8930 
 
 9079 
 
 9228 
 
 9378 
 
 9527 
 
 9676 
 
 9825 
 
 9974 
 
 U124 
 
 0273 
 
 
 
 11 
 
 4640422 
 
 0571 
 
 0720 
 
 0870 
 
 1019 
 
 1168 
 
 1317 
 
 1466 
 
 1615 
 
 1765 
 
 
 
 12 
 
 1914 
 
 2063 
 
 2212 
 
 2361 
 
 2510 
 
 2659 
 
 2808 
 
 2958 
 
 3107 
 
 3256 
 
 
 
 13 
 
 3405 
 
 3554 
 
 3703 
 
 3852 
 
 4001 
 
 4150 
 
 4299 
 
 4448 
 
 4597 
 
 4746 
 
 
 
 14 
 
 4895 
 
 5045 
 
 5194 
 
 5343 
 
 5492 
 
 5641 
 
 5790 
 
 5939 
 
 6088 
 
 6237 
 
 149 
 
 
 15 
 
 6386 
 
 (y535 
 
 6684 
 
 6833 
 
 698 1 
 
 7130 
 
 7279 
 
 7428 
 
 7577 
 
 7726 
 
 
 
 16 
 
 7875 
 
 8024 
 
 8173 
 
 8322 
 
 8471 
 
 8620 
 
 8769 
 
 8918 
 
 9067 
 
 9215 
 
 
 
 17 
 
 9364 
 
 9513 
 
 9662 
 
 9811 
 
 9960 
 
 0109 
 
 0258 
 
 0406 
 
 0555 
 
 0704 
 
 
 
 18 
 
 4650853 
 
 1002 
 
 1151 
 
 1299 
 
 1448 
 
 1597 
 
 1746 
 
 1895 
 
 2043 
 
 2192 
 
 
 
 19 
 
 2341 
 
 2490 
 
 2639 
 
 2787 
 
 2936 
 
 3085 
 
 3234 
 
 3382 
 
 3531 
 
 3680 
 
 
 
 2920 
 
 3829 
 
 3977 
 
 4126 
 
 4275 
 
 4423 
 
 4572 
 
 4721 
 
 4870 
 
 5018 
 
 5167 
 
 
 
 21 
 
 5316 
 
 5464 
 
 5613 
 
 5762 
 
 5910 
 
 6059 
 
 6208 
 
 6356 
 
 6505 
 
 6653 
 
 
 149 
 1 15 
 
 22 
 
 6802 
 
 6951 
 
 7099 
 
 7248 
 
 7397 
 
 7545 
 
 7694 
 
 7842 
 
 7991 
 
 8140 
 
 
 23 
 
 8288 
 
 8437 
 
 8585 
 
 8734 
 
 8882 
 
 9031 
 
 9180 
 
 9328 
 
 9477 
 
 9625 
 
 
 2 30 
 
 24 
 
 9774 
 
 9922 
 
 0071 
 
 0219 
 
 0368 
 
 0516 
 
 0665 
 
 0813 
 
 0962 
 
 1110 
 
 
 3 45 
 
 25 
 
 4661259 
 
 1407 
 
 1556 
 
 1704 
 
 18.53 
 
 2001 
 
 2149 
 
 2298 
 
 2446 
 
 2595 
 
 
 4 60 
 
 5 75 
 
 26 
 
 2743 
 
 2892 
 
 3040 
 
 3188 
 
 3337 
 
 3485 
 
 3634 
 
 3782 
 
 3930 
 
 4079 
 
 
 6 89 
 
 27 
 
 4227 
 
 4376 
 
 4524 
 
 4672 
 
 4821 
 
 4969 
 
 5117 
 
 5266 
 
 5414 
 
 5562 
 
 
 7 104 
 
 28 
 
 5711 
 
 5859 
 
 6007 
 
 6156 
 
 6304 
 
 6452 
 
 6601 
 
 6749 
 
 6897 
 
 7045 
 
 
 8 119 
 
 29 
 
 7194 
 
 7342 
 
 7490 
 
 7639 
 
 7787 
 
 7935 
 
 8083 
 
 8232 
 
 8380 
 
 8528 
 
 
 9 134 
 
 2930 
 
 8676 
 
 8824 
 
 8973 
 
 9121 
 
 9269 
 
 9417 
 
 9565 
 
 9714 
 
 9862 
 
 0010 
 
 
 
 31 
 
 4670158 
 
 0306 
 
 0455 
 
 0603 
 
 0751 
 
 0899 
 
 1047 
 
 1195 
 
 1343 
 
 1492 
 
 
 
 52 
 
 1640 
 
 1788 
 
 1936 
 
 2084 
 
 2232 
 
 2380 
 
 2528 
 
 2676 
 
 2824 
 
 2973 
 
 
 
 33 
 
 3121 
 
 3269 
 
 3417 
 
 'J,5Q5 
 
 3713 
 
 3861 
 
 4009 
 
 4157 
 
 4305 
 
 4453 
 
 148 
 
 
 34 
 
 4601 
 
 4749 
 
 4897 
 
 5045 
 
 5193 
 
 5341 
 
 5489 
 
 5637 
 
 5785 
 
 5933 
 
 
 35 
 
 6081 
 
 6229 
 
 6377 
 
 6525 
 
 6673 
 
 6821 
 
 6969 
 
 7117 
 
 7265 
 
 7413 
 
 
 
 3Q 
 
 7561 
 
 7708 
 
 7856 
 
 8004 
 
 8152 
 
 8300 
 
 8448 
 
 8596 
 
 8744 
 
 8892 
 
 
 
 37 
 
 9039 
 
 9187 
 
 9335 
 
 9483 
 
 9631 
 
 9779 
 
 9927 
 
 0074 
 
 0222 
 
 0370 
 
 
 
 38 
 
 4680518 
 
 0666 
 
 0814 
 
 0961 
 
 1109 
 
 1257 
 
 1405 
 
 1553 
 
 1700 
 
 1848 
 
 
 
 39 
 
 1996 
 
 2144 
 
 2291 
 
 2439 
 
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 2882 
 
 3030 
 
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 2940 
 
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 3621 
 
 3769 
 
 3916 
 
 4064 
 
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 41 
 
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 5395 
 
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 7165 
 
 7312 
 
 7460 
 
 7607 
 
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 148 
 
 43 
 
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 8198 
 
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 849.'i 
 
 8640 
 
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 8935 
 
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 9378 
 
 9526 
 
 9673 
 
 9821 
 
 9968 
 
 0116 
 
 0263 
 
 0411 
 
 0558 
 
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 3 44 
 
 45 
 
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 1148 
 
 1295 
 
 1 443 
 
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 1738 
 
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 1 59 
 
 46 
 
 2327 
 
 2475 
 
 2622 
 
 2770 
 
 2917 
 
 3064 
 
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 3359 
 
 3507 
 
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 3801 
 
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 4096 
 
 4243 
 
 4391 
 
 4538 
 
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 5127 
 
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 3 89] 
 7 1041 
 
 46 
 
 5275 
 
 5422 
 
 5569 
 
 5717 
 
 5864 
 
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 6306 
 
 6453 
 
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 49 
 
 6748 
 
 6895 
 
 7042 
 
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 7337 
 
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 7631 
 
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 ) 133 j 
 
 N. 
 
 
 
 1 
 
 tj 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 .9 
 
 "D 
 
 Pts. 1 
 
N.^i^oOO L. 46'9 OF NUMBERS. (43) 
 
 N. 
 
 2950 
 
 
 
 1 
 
 8367 
 
 2 
 8515 
 
 3 
 
 8662 
 
 4 
 
 8809 
 
 5 
 
 8956 
 
 6 
 
 9103 
 
 7 
 
 9251 
 
 8 
 
 9398 
 
 9 
 
 9545 
 
 1) 
 
 Pro. 
 
 4698220 
 
 
 
 51 
 
 9692 
 
 9839 
 
 9986 
 
 0134 
 
 0281 
 
 0428 
 
 0575 
 
 0722 
 
 0869 
 
 1016 
 
 
 147 
 
 52 
 
 4701164 
 
 1311 
 
 1458 
 
 1605 
 
 1752 
 
 1899 
 
 2046 
 
 2193 
 
 2340 
 
 2487 
 
 
 1 15 
 
 53 
 
 2634 
 
 2782 
 
 2929 
 
 3076 
 
 3223 
 
 3370 
 
 3517 
 
 3664 
 
 3811 
 
 3958 
 
 
 2 29 
 
 54 
 
 4105 
 
 4252 
 
 4399 
 
 4546 
 
 4693 
 
 4840 
 
 4987 
 
 5134 
 
 5281 
 
 5428 
 
 147 
 
 S 44 
 4 59 
 
 55 
 
 5575 
 
 5722 
 
 5869 
 
 6016 
 
 6163 
 
 6310 
 
 6457 
 
 6604 
 
 6750 
 
 6897 
 
 
 5 74 
 
 56 
 
 7044 
 
 71Q1 
 
 7338 
 
 7485 
 
 7632 
 
 7779 
 
 7926 
 
 8073 
 
 8219 
 
 8366 
 
 
 6' 88 
 
 51 
 
 8513 
 
 8660 
 
 8807 
 
 8954 
 
 9101 
 
 9248 
 
 9394 
 
 9541 
 
 9688 
 
 9835 
 
 
 7 103 
 
 Olio 
 
 58 
 
 9982 
 
 0l2') 
 
 0275 
 
 0422 
 
 0569 
 
 0716 
 
 0863 
 
 1009 
 
 1156 
 
 1 303 
 
 
 O I 1 o 
 
 9 132 
 
 59 
 
 4711450 
 
 1596 
 
 1743 
 
 1890 
 
 2037 
 
 2183 
 
 2330 
 
 2477 
 
 2624 
 
 2770 
 
 
 
 2960 
 
 2917 
 
 3064 
 
 3211 
 
 3357 
 
 -:i504 
 
 3651 
 
 3797 
 
 3944 
 
 4091 
 
 4237 
 
 
 
 61 
 
 4384 
 
 4531 
 
 4677 
 
 4824 
 
 4971 
 
 5117 
 
 5264 
 
 5411 
 
 5557 
 
 5704 
 
 
 
 62 
 
 5851 
 
 5997 
 
 6144 
 
 6290 
 
 6437 
 
 6584 
 
 6730 
 
 6877 
 
 7023 
 
 7170 
 
 
 
 Q^ 
 
 7317 
 
 7463 
 
 7610 
 
 7756 
 
 7903 
 
 8049 
 
 8196 
 
 8342 
 
 8489 
 
 8635 
 
 
 
 64 
 
 8782 
 
 8929 
 
 9075 
 
 9222 
 
 9368 
 
 9515 
 
 9661 
 
 9808 
 
 9954 
 
 0101 
 
 
 
 65 
 
 4720247 
 
 0393 
 
 0540 
 
 0686 
 
 0833 
 
 0979 
 
 1126 
 
 1272 
 
 1419 
 
 1565 
 
 
 
 QQ 
 
 1711 
 
 1858 
 
 2004 
 
 215! 
 
 2297 
 
 2444 
 
 2590 
 
 2736 
 
 2883 
 
 3029 
 
 
 
 67 
 
 3175 
 
 3322 
 
 346« 
 
 3615 
 
 3761 
 
 3907 
 
 4054 
 
 4200 
 
 4346 
 
 4493 
 
 
 
 68 
 
 4639 
 
 4785 
 
 4932 
 
 5078 
 
 5224 
 
 5371 
 
 5517 
 
 5m3 
 
 5809 
 
 5956 
 
 
 
 69 
 
 6102 
 
 6248 
 
 6395 
 
 6541 
 
 6687 
 
 6833 
 
 6980 
 
 7126 
 
 7272 
 
 7418 
 
 
 
 2970 
 
 7564 
 
 7711 
 
 7857 
 
 8003 
 
 8149 
 
 8296 
 
 8442 
 
 8588 
 
 8734 
 
 8880 
 
 
 
 71 
 
 9027 
 
 9173 
 
 9319 
 
 9465 
 
 9611 
 
 9757 
 
 9903 
 
 0050 
 
 0196 
 
 0342 
 
 
 146 
 
 72 
 
 4730488 
 
 0634 
 
 0780 
 
 0926 
 
 1073 
 
 1219 
 
 1365 
 
 1511 
 
 1657 
 
 1803 
 
 
 1 15 
 
 73 
 
 1949 
 
 2095 
 
 2241 
 
 2387 
 
 2533 
 
 2(^9 
 
 2825 
 
 2972 
 
 3118 
 
 3264 
 
 146 
 
 2 29 
 
 74 
 
 3410 
 
 3556 
 
 3702 
 
 3848 
 
 3994 
 
 4^40 
 
 4286 
 
 4432 
 
 4578 
 
 4724 
 
 3 44 
 
 75 
 
 4870 
 
 5016 
 
 5162 
 
 5308 
 
 5454 
 
 5600 
 
 5746 
 
 5891 
 
 6037 
 
 6183 
 
 
 4 58 
 
 5 73 
 
 76 
 
 6329 
 
 6475 
 
 6621 
 
 6767 
 
 6913 
 
 7059 
 
 7205 
 
 7351 
 
 7497 
 
 7642 
 
 
 6 88 
 
 77 
 
 7788 
 
 '■934 
 
 8080 
 
 8226 
 
 8372 
 
 8518 
 
 8664 
 
 8809 
 
 8955 
 
 9101 
 
 
 7 102 
 
 78 
 
 9247 
 
 9393 
 
 9539 
 
 9684 
 
 9830 
 
 9976 
 
 0122 
 
 0268 
 
 0413 
 
 0559 
 
 
 8 117 
 
 9 131 
 
 79 
 
 4740705 
 
 0851 
 
 0997 
 
 1142 
 
 1288 
 
 1434 
 
 1580 
 
 1725 
 
 1871 
 
 2017 
 
 
 2980 
 
 2163 
 
 2308 
 
 2454 
 
 2600 
 
 274S 
 
 2891 
 
 3037 
 
 3183 
 
 3328 
 
 3474 
 
 
 
 81 
 
 3620 
 
 3765 
 
 3911 
 
 4057 
 
 4202 
 
 4348 
 
 4494 
 
 4639 
 
 4785 
 
 4931 
 
 
 
 82 
 
 5076 
 
 5222 
 
 5368 
 
 5513 
 
 5659 
 
 5805 
 
 5950 
 
 6096 
 
 6241 
 
 6387 
 
 
 
 83 
 
 6533 
 
 6678 
 
 6824 
 
 6969 
 
 7115 
 
 7260 
 
 7406 
 
 7552 
 
 7697 
 
 7843 
 
 
 
 84 
 
 7988 
 
 8134 
 
 8279 
 
 8425 
 
 8570 
 
 8716 
 
 8861 
 
 9007 
 
 9152 
 
 9298 
 
 
 
 85 
 
 9443 
 
 9589 
 
 9734 
 
 9880 
 
 0025 
 
 0171 
 
 0316 
 
 0462 
 
 0607 
 
 0753 
 
 
 
 86 
 
 47508gB 
 
 1043 
 
 1189 
 
 1334 
 
 1480 
 
 1625 
 
 1771 
 
 1916 
 
 2061 
 
 2207 
 
 
 
 87 
 
 2352 
 
 2498 
 
 2643 
 
 2788 
 
 2934 
 
 3079 
 
 3225 
 
 3370 
 
 3515 
 
 3661 
 
 
 
 88 
 
 3806 
 
 3951 
 
 4097 
 
 4242 
 
 4387 
 
 4533 
 
 4678 
 
 4823 
 
 4969 
 
 5114 
 
 
 
 89 
 
 5259 
 
 5404 
 
 5550 
 
 5695 
 
 5840 
 
 5986 
 
 6131 
 
 6276 
 
 6421 
 
 6567 
 
 
 
 2990 
 
 6712 
 
 6857 
 
 7002 
 
 7148 
 
 7293 
 
 7438 
 
 7583 
 
 7729 
 
 7874 
 
 8019 
 
 
 
 91 
 
 8164 
 
 8309 
 
 8455 
 
 8600 
 
 8745 
 
 8890 
 
 9035 
 
 9180 
 
 9326 
 
 9471 
 
 
 
 92 
 
 9616 
 
 9761 
 
 9906 
 
 0051 
 
 0196 
 
 0342 
 
 0487 
 
 0632 
 
 0777 
 
 0922 
 
 
 145 
 
 93 
 
 4761067 
 
 1212 
 
 1357 
 
 1502 
 
 1648 
 
 1793 
 
 1938 
 
 2083 
 
 2228 
 
 2373 
 
 145 
 
 1 15 
 
 94 
 
 2518 
 
 2663 
 
 2808 
 
 2953 
 
 3098 
 
 3243 
 
 3388 
 
 3533 
 
 3678 
 
 3823 
 
 2 29 
 
 3 44 
 
 95 
 
 3968 
 
 4113 
 
 4258 
 
 4403 
 
 4548 
 
 4693 
 
 4838 
 
 4983 
 
 5128 
 
 5273 
 
 
 4 58 
 
 96 
 
 . 5418 
 
 5563 
 
 5708 
 
 5853 
 
 5998 
 
 6143 
 
 6288 
 
 6433 
 
 6578 
 
 6723 
 
 
 5 73 
 
 97 
 
 6867 
 
 7012 
 
 7157 
 
 7302 
 
 7447 
 
 7592 
 
 7737 
 
 7882 
 
 8027 
 
 8171 
 
 
 6 87 
 7102 
 8 116 
 
 98 
 
 8316 
 
 8461 
 
 8606 
 
 8751 
 
 8896 
 
 9041 
 
 9185 
 
 9330 
 
 9475 
 
 9620 
 
 
 99 
 
 IN. 
 
 9765 
 
 9909 
 
 0054 
 
 0199 
 
 0344 
 
 4 
 
 0489 
 
 0633 
 
 0778 
 
 0923 
 
 1068 
 
 9 
 
 D 
 
 9131 
 
 Pts. 
 
 
 
 1 
 
 2 
 
 5 
 
 6 
 
 7 
 
 8 
 
(46] 
 
 
 
 
 LOGARITHMS 
 
 
 N. 30000 L. 477 
 
 N. 
 
 3000 
 
 
 
 I 
 1357 
 
 9, 
 
 1 502 
 
 3 
 
 1647 
 
 4 
 
 1792 
 
 5 
 
 1936 
 
 6 
 
 208 1 
 
 7 
 
 2226 
 
 8 
 
 237 1 
 
 9 
 
 2515 
 
 D 
 
 Pro. 
 
 477 1 21 :i 
 
 01 
 
 2660 
 
 2805 
 
 2J49 
 
 3094 
 
 3239 
 
 3383 
 
 3528 
 
 3673 
 
 3818 
 
 3962 
 
 
 145 
 
 02 
 
 4107 
 
 4252 
 
 4396 
 
 45 U 
 
 4686 
 
 4830 
 
 4975 
 
 5119 
 
 5264 
 
 5409 
 
 
 1 15 
 
 03 
 
 5553 
 
 5698 
 
 5843 
 
 5987 
 
 6132 
 
 6276 
 
 6421 
 
 6566 
 
 0710 
 
 6855 
 
 
 2 29 
 i 44 
 
 i 58 
 
 04 
 
 6999 
 
 7144 
 
 7288 
 
 7433 
 
 7578 
 
 7722 
 
 7867 
 
 8011 
 
 8156 
 
 8300 
 
 
 05 
 
 8445 
 
 8589 
 
 8734 
 
 8878 
 
 9023 
 
 9167 
 
 9312 
 
 9456 
 
 9601 
 
 9745 
 
 
 5 73 
 
 06 
 
 9890 
 
 0034 
 
 0179 
 
 0323 
 
 0468 
 
 0612 
 
 0757 
 
 0901 
 
 1045 
 
 1190 
 
 f 
 
 5 87 
 7 102 
 i 116 
 
 07 
 
 4781334 
 
 1479 
 
 1 623 
 
 1768 
 
 1912 
 
 2056 
 
 2201 
 
 2345 
 
 2490 
 
 2634 
 
 i 
 
 08 
 
 2778 
 
 2923 
 
 3067 
 
 3211 
 
 3356 
 
 3500 
 
 3645 
 
 3789 
 
 3933 
 
 4078 
 
 
 ) 131 
 
 09 
 
 4222 
 
 4366 
 
 4511 
 
 4655 
 
 4799 
 
 4943 
 
 5088 
 
 5232 
 
 5376 
 
 5521 
 
 - 
 
 
 3010 
 
 5665 
 
 5809 
 
 5954 
 
 6098 
 
 6242 
 
 6386 
 
 6531 
 
 6675 
 
 6819 
 
 6963 
 
 
 
 11 
 
 7108 
 
 7252 
 
 7396 
 
 7540 
 
 7684 
 
 7829 
 
 7973 
 
 8117 
 
 8261 
 
 8405 
 
 
 
 12 
 
 8550 
 
 8694 
 
 8838 
 
 8982 
 
 9126 
 
 9271 
 
 9415 
 
 9559 
 
 9703 
 
 9847 
 
 
 
 13 
 
 9991 
 
 0135 
 
 0280 
 
 0424 
 
 0568 
 
 0712 
 
 0856 
 
 1000 
 
 1144 
 
 1288 
 
 
 
 14 
 
 4791432 
 
 1577 
 
 1721 
 
 1865 
 
 2009 
 
 2153 
 
 2297 
 
 2441 
 
 2585 
 
 2729 
 
 
 
 15 
 
 2873 
 
 3017 
 
 3161 
 
 3305 
 
 3449 
 
 3593 
 
 3737 
 
 3881 
 
 4025 
 
 4169 
 
 144 
 
 
 10 
 
 4313 
 
 4457 
 
 4601 
 
 4745 
 
 4889 
 
 5033 
 
 5177 
 
 5321 
 
 5465 
 
 5609 
 
 
 
 17 
 
 5753 
 
 5897 
 
 6041 
 
 6185 
 
 6329 
 
 6473 
 
 6617 
 
 6761 
 
 6905 
 
 7048 
 
 
 
 18 
 
 7192 
 
 7336 
 
 7480 
 
 7624 
 
 7768 
 
 7912 
 
 8056 
 
 8200 
 
 8343 
 
 8487 
 
 
 
 19 
 
 8631 
 
 8775 
 
 8919 
 
 9063 
 
 9207 
 
 9350 
 
 9494 
 
 9638 
 
 9782 
 
 9926 
 
 
 
 3020 
 
 4800069 
 
 0213 
 
 0357 
 
 0501 
 
 0645 
 
 0788 
 
 0932 
 
 1076 
 
 1220 
 
 1363 
 
 
 
 21 
 
 1507 
 
 1651 
 
 1795 
 
 1939 
 
 2082 
 
 2226 
 
 2370 
 
 2513 
 
 2657 
 
 2801 
 
 
 144 
 1 14 
 
 22 
 
 2945 
 
 3088 
 
 3232 
 
 3376 
 
 3519 
 
 3663 
 
 3807 
 
 3950 
 
 4094 
 
 4238 
 
 
 23 
 
 4381 
 
 4525 
 
 4669 
 
 4812 
 
 4956 
 
 5100 
 
 5243 
 
 5387 
 
 5531 
 
 5674 
 
 
 2 29 
 
 24 
 
 5818 
 
 5961 
 
 6105 
 
 6249 
 
 6392 
 
 6536 
 
 6679 
 
 6823 
 
 6967 
 
 7110 
 
 
 3 43 
 
 25 
 
 7254 
 
 7397 
 
 7541 
 
 7684 
 
 7828 
 
 7972 
 
 8115 
 
 8259 
 
 8402 
 
 8546 
 
 
 i 58 
 
 5 72 
 
 26 
 
 8689 
 
 8833 
 
 8976 
 
 9120 
 
 9263 
 
 9407 
 
 9550 
 
 9694 
 
 9837 
 
 9981 
 
 
 5 86 
 
 ,27 
 
 4810124 
 
 0268 
 
 0411 
 
 0555 
 
 0698 
 
 0842 
 
 0985 
 
 1128 
 
 1272 
 
 1415 
 
 
 7 101 
 
 28 
 
 1559 
 
 1702 
 
 1846 
 
 1989 
 
 2132 
 
 2276 
 
 2419 
 
 2563 
 
 2706 
 
 2849 
 
 
 3 115 
 
 29 
 
 2993 
 
 3136 
 
 3279 
 
 3423 
 
 3566 
 
 3710 
 
 3853 
 
 3996 
 
 4140 
 
 4283 
 
 
 ? 130 
 
 3030 
 
 4426 
 
 4570 
 
 4713 
 
 4856 
 
 5000 
 
 3143 
 
 5286 
 
 5429 
 
 5573 
 
 5716 
 
 
 
 31 
 
 5859 
 
 6003 
 
 6146 
 
 6289 
 
 6432 
 
 6576 
 
 6719 
 
 6862 
 
 7005 
 
 714& 
 
 
 
 32 
 
 7292 
 
 7435 
 
 7578 
 
 7722 
 
 7865 
 
 8008 
 
 8151 
 
 8295 
 
 8438 
 
 8581 
 
 
 
 33 
 
 8724 
 
 8867 
 
 9010 
 
 9154 
 
 9297 
 
 9440 
 
 9583 
 
 9726 
 
 9869 
 
 0013 
 
 
 
 34 
 
 4820156 
 
 0299 
 
 0442 
 
 0585 
 
 0728 
 
 0871 
 
 1015 
 
 1158 
 
 1301 
 
 1444 
 
 
 
 35 
 
 1587 
 
 1730 
 
 1873 
 
 2016 
 
 2159 
 
 2302 
 
 2445 
 
 2589 
 
 2732 
 
 2875 
 
 
 
 3d 
 
 3018 
 
 3161 
 
 3304 
 
 3447 
 
 3590 
 
 3733 
 
 3876 
 
 4019 
 
 4162 
 
 4305 
 
 
 
 37 
 
 4448 
 
 4591 
 
 4734 
 
 4877 
 
 5020 
 
 5 1 63 
 
 5306 
 
 5449 
 
 5592 
 
 5735 
 
 
 
 38 
 
 5878 
 
 6021 
 
 6164 
 
 6307 
 
 6449 
 
 6592 
 
 6735 
 
 6878 
 
 7021 
 
 7164 
 
 143 
 
 
 39 
 
 7307 
 
 7450 
 
 7593 
 
 7736 
 
 7879 
 
 8021 
 
 8164 
 
 8307 
 
 8450 
 
 8593 
 
 
 
 3040 
 
 8736 
 
 8879 
 
 9022 
 
 9164 
 
 9307 
 
 9450 
 
 9593 
 
 9736 
 
 9879 
 
 0021 
 
 
 
 41 
 
 4S30I64 
 
 0307 
 
 0450 
 
 0593 
 
 0735 
 
 0878 
 
 1021 
 
 1164 
 
 1307 
 
 1449 
 
 
 
 42 
 
 1592 
 
 1735 
 
 1878 
 
 2020 
 
 2163 
 
 2306 
 
 2449 
 
 2591 
 
 2734 
 
 2877 
 
 
 143 
 
 43 
 
 3020 
 
 3162 
 
 3305 
 
 3448 
 
 3590 
 
 3733 
 
 3876 
 
 4018 
 
 4161 
 
 4301 
 
 
 I, 14 
 
 44 
 
 4446 
 
 4589 
 
 4732 
 
 4874 
 
 5017 
 
 5160 
 
 5302 
 
 5445 
 
 ,5588 
 
 5730 
 
 
 2 29 
 
 i 4"! 
 
 45 
 
 5873 
 
 6016 
 
 6158 
 
 6301 
 
 6443 
 
 6586 
 
 6729 
 
 6871 
 
 7014 
 
 7156 
 
 
 3 t.? 
 
 i 57 
 
 46 
 
 7299 
 
 7442 
 
 7584 
 
 7727 
 
 7869 
 
 8012 
 
 8154 
 
 8297 
 
 8439 
 
 8582 
 
 ,, 
 
 5 72 
 
 47 
 
 8725 
 
 8867 
 
 9010 
 
 9152 
 
 9295 
 
 9437 
 
 9580 
 
 9722 
 
 9865 
 
 0007 
 
 
 S 86 
 
 ; 100 
 
 B 114 
 
 48 
 
 4840150 
 
 0292 
 
 0435 
 
 0577 
 
 0720 
 
 0862 
 
 1004 
 
 1147 
 
 1289 
 
 1432 
 
 
 40 
 
 1574 
 
 1717 
 1 
 
 1859 
 2 
 
 2002 
 
 3 
 
 2144 
 4 
 
 2286 
 
 5 
 
 2429 
 
 6 
 
 2571 
 
 7 
 
 2714 
 8 
 
 2856 
 
 9 
 
 1) 
 
 129 
 
 Pts. 
 
 
 
N.30500L.484 of t^umbeks. (47)j 
 
 N. 
 
 3050 
 
 
 
 1 
 
 3141 
 
 2 
 3283 
 
 3 
 
 3426 
 
 4 
 
 3568 
 
 5 
 
 3710 
 
 6 
 
 3853 
 
 7 
 
 3995 
 
 8 
 
 4137 
 
 9 
 
 4280 
 
 D 
 
 Pro. 
 
 4842998 
 
 51 
 
 4422 
 
 4564 
 
 4707 
 
 4849 
 
 4991 
 
 5134 
 
 5276 
 
 5418 
 
 5561 
 
 5703 
 
 
 142 
 
 52 
 
 5845 
 
 5988 
 
 6130 
 
 6272 
 
 6414 
 
 6557 
 
 6699 
 
 6841 
 
 6984 
 
 7126 
 
 
 1 14 
 
 53 
 
 7268 
 
 7410 
 
 7553 
 
 7695 
 
 7837 
 
 7979 
 
 8121 
 
 8264 
 
 8406 
 
 8548 
 
 
 2 28 
 
 3 43 
 
 4 57 
 
 54 
 
 8690 
 
 8833 
 
 8975 
 
 9117 
 
 9259 
 
 9401 
 
 9543 
 
 9686 
 
 9828 
 
 9970 
 
 
 55 
 
 4850112 
 
 0254 
 
 0396 
 
 0539 
 
 0681 
 
 0823 
 
 0965 
 
 1107 
 
 1249 
 
 1391 
 
 
 6 71 
 
 6 85 
 
 7 99 
 
 8 114 
 
 56 
 
 1533 
 
 1676 
 
 1818 
 
 1960 
 
 2102 
 
 2244 
 
 2386 
 
 2528 
 
 2670 
 
 2812 
 
 
 57 
 
 2954 
 
 3096 
 
 3239 
 
 3381 
 
 3523 
 
 3665 
 
 3807 
 
 3949 
 
 4091 
 
 4233 
 
 142 
 
 58 
 
 4375 
 
 4517 
 
 4659 
 
 4801 
 
 4943 
 
 5085 
 
 5227 
 
 5369 
 
 5511 
 
 5653 
 
 
 9 128 
 
 59 
 
 5795 
 
 5937 
 
 6079 
 
 6221 
 
 6363 
 
 6505 
 
 6647 
 
 6788 
 
 6930 
 
 7072 
 
 
 
 3060 
 
 7214 
 
 7356 
 
 7498 
 
 7640 
 
 7782 
 
 7924 
 
 8066 
 
 8208 
 
 8350 
 
 8491 
 
 
 
 61 
 
 8633 
 
 8775 
 
 8917 
 
 9059 
 
 9201 
 
 9343 
 
 9484 
 
 9626 
 
 9768 
 
 9910 
 
 
 
 62 
 
 4860052 
 
 0194 
 
 0336 
 
 0477 
 
 0619 
 
 0761 
 
 0903 
 
 1045 
 
 1186 
 
 1328 
 
 
 
 63 
 
 1470 
 
 1612 
 
 1754 
 
 1895 
 
 2037 
 
 2179 
 
 2321 
 
 2462 
 
 2604 
 
 2746 
 
 
 
 64 
 
 2888 
 
 3029 
 
 3171 
 
 3313 
 
 3455 
 
 3596 
 
 3738 
 
 3880 
 
 4021 
 
 4163 
 
 
 
 65 
 
 4505 
 
 4446 
 
 4588 
 
 4730 
 
 4872 
 
 5013 
 
 5155 
 
 5297 
 
 5438 
 
 5580 
 
 
 
 66 
 
 5722 
 
 5863 
 
 6005 
 
 6146 
 
 6288 
 
 6430 
 
 6571 
 
 6713 
 
 6855 
 
 6996 
 
 
 
 67 
 
 7138 
 
 7279 
 
 7421 
 
 7563 
 
 7704 
 
 7846 
 
 7987 
 
 8129 
 
 8270 
 
 8412 
 
 
 
 68 
 
 8554 
 
 8695 
 
 8837 
 
 8978 
 
 9120 
 
 9261 
 
 9403 
 
 9544 
 
 9686 
 
 9827 
 
 
 
 69 
 
 9969 
 
 0110 
 
 O'Jto 
 
 0393 
 
 0535 
 
 0676 
 
 0818 
 
 0959 
 
 1101 
 
 1242 
 
 
 
 3070 
 
 4871384 
 
 1525 
 
 1667 
 
 1808 
 
 1950 
 
 2091 
 
 2232 
 
 2374 
 
 2515 
 
 2657 
 
 
 
 71 
 
 2798 
 
 2940 
 
 3081 
 
 3222 
 
 3364 
 
 3505 
 
 3647 
 
 3788 
 
 3929 
 
 4071 
 
 
 
 72 
 
 4212 
 
 4353 
 
 4495 
 
 4636 
 
 4778 
 
 4919 
 
 5060 
 
 5202 
 
 5343 
 
 5484 
 
 
 
 73 
 
 5626 
 
 5767 
 
 5908 
 
 6050 
 
 6191 
 
 6332 
 
 6473 
 
 6615 
 
 6756 
 
 6897 
 
 
 141 
 
 74 
 
 7039 
 
 7180 
 
 7321 
 
 7462 
 
 7604 
 
 7745 
 
 7886 
 
 8027 
 
 8169 
 
 8310 
 
 
 1 14 
 
 2 28 
 
 75 
 
 8451 
 
 8592 
 
 8734 
 
 8875 
 
 9016 
 
 9157 
 
 9299 
 
 9440 
 
 9581 
 
 9722 
 
 
 3 42 
 
 76 
 
 9863 
 
 0004 
 
 0146 
 
 0287 
 
 0428 
 
 0569 
 
 0710 
 
 0852 
 
 0993 
 
 1134 
 
 
 4 56 
 
 5 71 
 
 6 85 
 
 77 
 
 4881275 
 
 1416 
 
 1557 
 
 1698 
 
 1839 
 
 1981 
 
 2122 
 
 2263 
 
 2404 
 
 2545 
 
 
 78 
 
 2686 
 
 2827 
 
 2968 
 
 3109 
 
 3251 
 
 3392 
 
 3533 
 
 3674 
 
 3815 
 
 3956 
 
 
 7 99 
 
 79 
 
 4097 
 
 4238 
 
 4379 
 
 4520 
 
 4661 
 
 4802 
 
 4943 
 
 5084 
 
 5225 
 
 5366 
 
 141 
 
 8 113 
 
 3080 
 
 5507 
 
 5648 
 
 5789 
 
 5930 
 
 6071 
 
 6212 
 
 6353 
 
 6494 
 
 6635 
 
 6776 
 
 9 127 
 
 81 
 
 6917 
 
 7058 
 
 7199 
 
 7340 
 
 7481 
 
 7622 
 
 7763 
 
 7904 
 
 8045 
 
 8185 
 
 
 
 82 
 
 8326 
 
 8467 
 
 8608 
 
 8749 
 
 8890 
 
 9031 
 
 9172 
 
 9313 
 
 9454 
 
 9594 
 
 
 
 83 
 
 9735 
 
 9876 
 
 0017 
 
 0158 
 
 0299 
 
 0440 
 
 0580 
 
 0721 
 
 0862 
 
 1003 
 
 
 
 84 
 
 4891144 
 
 1285 
 
 1425 
 
 1566 
 
 1707 
 
 1848 
 
 1989 
 
 2129 
 
 2270 
 
 2411 
 
 
 
 85 
 
 2552 
 
 2692 
 
 2833 
 
 2974 
 
 3115 
 
 3256 
 
 3396 
 
 3537 
 
 3678 
 
 3818 
 
 
 
 86 
 
 3959 
 
 4100 
 
 4241 
 
 4381 
 
 4522 
 
 4663 
 
 4804 
 
 4944 
 
 5085 
 
 5226 
 
 
 
 87 
 
 5366 
 
 5507 
 
 5648 
 
 5788 
 
 5929 
 
 6070 
 
 6210 
 
 6351 
 
 6492 
 
 6632 
 
 
 
 88 
 
 6773 
 
 6914 
 
 7054 
 
 7195 
 
 7335 
 
 7476 
 
 7617 
 
 7757 
 
 7898 
 
 8038 
 
 
 
 89 
 
 8179 
 
 8320 
 
 8460 
 
 8601 
 
 8741 
 
 8882 
 
 9023 
 
 9163 
 
 9304 
 
 9444 
 
 
 
 3090 
 
 9585 
 
 9725 
 
 9866 
 
 0006 
 
 0147 
 
 0287 
 
 0428 
 
 0569 
 
 0709 
 
 0850 
 
 
 
 91 
 
 4900990 
 
 1131 
 
 1271 
 
 1412 
 
 1552 
 
 1693 
 
 1833 
 
 1973 
 
 2114 
 
 2254 
 
 
 
 92 
 
 2395 
 
 2535 
 
 26/6 
 
 2816 
 
 2957 
 
 3097 
 
 3238 
 
 3378 
 
 3518 
 
 3659 
 
 
 140 
 
 93 
 
 3799 
 
 3940 
 
 4080 
 
 4220 
 
 4361 
 
 4501 
 
 4642 
 
 4782 
 
 4922 
 
 5063 
 
 
 I 14 
 
 94 
 
 5203 
 
 5343 
 
 5484 
 
 5624 
 
 5765 
 
 5905 
 
 6045 
 
 6186 
 
 6326 
 
 6466 
 
 
 2 28 
 
 i 42 
 
 i 5t>l 
 
 95 
 
 6607 
 
 6747 
 
 6887 
 
 7027 
 
 7168 
 
 7308 
 
 7448 
 
 7589 
 
 7729 
 
 7869 
 
 
 96 
 
 8010 
 
 8150 
 
 8290 
 
 8 430 
 
 8571 
 
 8711 
 
 8851 
 
 8991 
 
 9132 
 
 9272 
 
 
 5 70 i 
 
 97 
 
 9412 
 
 9552 
 
 9693 
 
 9833 
 
 9973 
 
 0113 
 
 0253 
 
 0394 
 
 0534 
 
 0674 
 
 
 3 84 
 
 98 
 
 4910814 
 
 0954 
 
 1094 
 
 1235 
 
 1375 
 
 1515 
 
 1655 
 
 1795 
 
 1935 
 
 2076 
 
 
 7 98 
 
 m2 
 
 }\]26' 
 
 99 
 
 N. 
 
 2216 
 
 2356 
 
 2496 
 2 
 
 2636 
 
 3 
 
 2776 
 
 4 
 
 2916 
 
 3057 
 
 6 
 
 3197 
 7 
 
 3337 
 
 8 
 
 3477 
 
 9 
 
 1 
 
 
 
 1 
 
 5 
 
 D 
 
 Pts. 
 
(48) 
 
 LOGARITHMS N.31000 L.49l| 
 
 N. 
 
 3100 
 
 
 
 1 
 
 3757 
 
 2 
 
 3897 
 
 3 
 
 4037 
 
 4 
 
 4177 
 
 5 
 
 4317 
 
 6- 
 
 4457 
 
 7 
 
 4597 
 
 8 
 
 4738 
 
 .9 
 
 487 8 
 
 p 
 
 Pro. 
 
 4913617 
 
 01 
 
 5018 
 
 5158 
 
 5298 
 
 5438 
 
 5578 
 
 5718 
 
 5858 
 
 ■•.998 
 
 6138 
 
 6278 
 
 
 140 
 
 02 
 
 6418 
 
 6558 
 
 6698 
 
 6838 
 
 6978 
 
 7118 
 
 7258 
 
 7398 
 
 7538 
 
 7678 
 
 140 
 
 1 14 
 
 03 
 
 7818 
 
 7958 
 
 8098 
 
 8238 
 
 8378 
 
 8517 
 
 8657 
 
 8797 
 
 8937 
 
 9077 
 
 
 2 28 
 
 3 42 
 
 4 5G 
 
 04 
 
 9217 
 
 9357 
 
 9497 
 
 9637 
 
 9777 
 
 9917 
 
 0057 
 
 0196 
 
 0336 
 
 0476 
 
 
 05 
 
 t9206l6 
 
 0756 
 
 0896 
 
 1036 
 
 1175 
 
 1315 
 
 1455 
 
 1595 
 
 1735 
 
 1875 
 
 
 5 70 
 
 06 
 
 2015 
 
 2154 
 
 2294 
 
 2434 
 
 2574 
 
 2714 
 
 2853 
 
 2993 
 
 3133 
 
 3273 
 
 
 6 84 
 
 7 98 
 
 8 112 
 
 07 
 
 3413 
 
 3552 
 
 3692 
 
 3832 
 
 3972 
 
 4111 
 
 4251 
 
 4391 
 
 4531 
 
 4670 
 
 
 08 
 
 4810 
 
 4950 
 
 5090 
 
 5229 
 
 5569 
 
 5509 
 
 5648 
 
 5788 
 
 5928 
 
 6068 
 
 
 9 126 
 
 09 
 
 6207 
 
 6347 
 
 6487 
 
 6626 
 
 6766 
 
 6906 
 
 7045 
 
 7185 
 
 7325 
 
 7464 
 
 
 
 3110 
 
 7604 
 
 7744 
 
 7883 
 
 8023 
 
 8162 
 
 8302 
 
 8442 
 
 8581 
 
 8721 
 
 8861 
 
 
 
 11 
 
 9000 
 
 9140 
 
 9279 
 
 9419 
 
 9558 
 
 9698 
 
 9838 
 
 9977 
 
 0117 
 
 0256 
 
 
 
 12 
 
 4930396 
 
 0535 
 
 0675 
 
 0815 
 
 0954 
 
 1094 
 
 1233 
 
 1373 
 
 1512 
 
 1652 
 
 
 
 13 
 
 1791 
 
 1931 
 
 2070 
 
 2210 
 
 2349 
 
 2489 
 
 2628 
 
 2768 
 
 2907 
 
 3047 
 
 
 
 14 
 
 3186 
 
 3326 
 
 3465 
 
 3604 
 
 3744 
 
 3883 
 
 4023 
 
 4162 
 
 4302 
 
 4441 
 
 
 
 15 
 
 4581 
 
 4720 
 
 4859 
 
 4999 
 
 5138 
 
 5278 
 
 5417 
 
 5556 
 
 5696 
 
 5835 
 
 
 
 16 
 
 5974 
 
 6114 
 
 6253 
 
 6393 
 
 6532 
 
 6671 
 
 6811 
 
 6950 
 
 7089 
 
 7229 
 
 
 
 17 
 
 7368 
 
 7507 
 
 7647 
 
 7786 
 
 7925 
 
 8065 
 
 8204 
 
 8343 
 
 8483 
 
 8622 
 
 
 
 18 
 
 8761 
 
 8900 
 
 9040 
 
 9179 
 
 9318 
 
 9457 
 
 9597 
 
 9736 
 
 9875 
 
 0015 
 
 
 
 19 
 
 4940154 
 
 0293 
 
 0432 
 
 0571 
 
 0711 
 
 0850 
 
 0989 
 
 1128 
 
 1268 
 
 1407 
 
 
 
 3120 
 
 1546 
 
 1685 
 
 1824 
 
 1964 
 
 2103 
 
 2242 
 
 2381 
 
 2520 
 
 2659 
 
 2799 
 
 
 
 21 
 
 2938 
 
 3077 
 
 3216 
 
 3355. 
 
 '3494 
 
 3633 
 
 3773 
 
 3912 
 
 4051 
 
 4190 
 
 
 
 22 
 
 4329 
 
 4468 
 
 4607 
 
 4746 
 
 4885 
 
 5024 
 
 5164 
 
 5303 
 
 5442 
 
 5581 
 
 
 139 
 
 23 
 
 5720 
 
 5859 
 
 5998 
 
 6137 
 
 6276 
 
 6415 
 
 6554 
 
 6693 
 
 6832 
 
 6971 
 
 139 
 
 1 14 
 
 2 28 
 
 3 42 
 
 24 
 
 7110 
 
 7249 
 
 7388 
 
 7527 
 
 7666 
 
 7805 
 
 7944 
 
 8083 
 
 8222 
 
 8361 
 
 25 
 
 8500 
 
 8639 
 
 8778 
 
 8'917 
 
 9056 
 
 9195 
 
 9334 
 
 9473 
 
 9612 
 
 9751 
 
 
 4 56 
 
 26 
 
 9890 
 
 0029 
 
 0168 
 
 0307 
 
 0445 
 
 0584 
 
 0723 
 
 0862 
 
 1001 
 
 1140 
 
 
 5 70 
 
 6 83 
 
 7 97 
 
 27 
 
 4951279 
 
 1418 
 
 1557 
 
 1695 
 
 1834 
 
 1973 
 
 2112 
 
 2251 
 
 2390 
 
 2529 
 
 
 28 
 
 2667 
 
 2806 
 
 2945 
 
 3084 
 
 3223 
 
 3362 
 
 3500 
 
 3639 
 
 3778 
 
 3917 
 
 
 Bill 
 
 29 
 
 4056 
 
 4194 
 
 4333 
 
 4472 
 
 4611 
 
 4750 
 
 4888 
 
 5027 
 
 5166 
 
 5305 
 
 
 9 125 
 
 3130 
 
 5443 
 
 5582 
 
 5721 
 
 5860 
 
 5998 
 
 6137 
 
 6276 
 
 6415 
 
 6553 
 
 6692 
 
 
 
 31 
 
 6831 
 
 6969 
 
 7108 
 
 7247 
 
 7385 
 
 7524 
 
 7663 
 
 7802 
 
 7940 
 
 8079 
 
 
 
 32 
 
 8218 
 
 8356 
 
 8495 
 
 8634 
 
 8772 
 
 8911 
 
 9049 
 
 9188 
 
 9327 
 
 9465 
 
 
 
 33 
 
 9604 
 
 9743 
 
 9881 
 
 0020 
 
 0158 
 
 0297 
 
 0436 
 
 0574 
 
 0713 
 
 0851 
 
 
 
 34 
 
 4960990 
 
 1128 
 
 1267 
 
 1406 
 
 1544 
 
 1683 
 
 1821 
 
 1960 
 
 2098 
 
 2237 
 
 
 
 85 
 
 2375 
 
 2514 
 
 2653 
 
 2791 
 
 2930 
 
 3068 
 
 3207 
 
 3345 
 
 3484 
 
 3622 
 
 
 
 36 
 
 3761 
 
 3899 
 
 4038 
 
 4176 
 
 4314 
 
 4453 
 
 4591 
 
 4730 
 
 4868 
 
 5007 
 
 
 
 37 
 
 5145 
 
 5284 
 
 5422 
 
 5560 
 
 5699 
 
 5837 
 
 5976 
 
 6114 
 
 6253 
 
 6391 
 
 
 
 38 
 
 6529 
 
 6668 
 
 6806 
 
 6945 
 
 7083 
 
 7221 
 
 7360 
 
 7498 
 
 7636 
 
 7775 
 
 
 
 39 
 
 7913 
 
 8052 
 
 8190 
 
 8328 
 
 8467 
 
 8605 
 
 8743 
 
 8882 
 
 9020 
 
 9158 
 
 
 
 3140 
 
 9296 
 
 9435 
 
 9573 
 
 9711 
 
 9850 
 
 9988 
 
 0126 
 
 0265 
 
 0403 
 
 0541 
 
 
 
 41 
 
 4970679 
 
 0818 
 
 0956 
 
 1094 
 
 1232 
 
 1371 
 
 1509 
 
 1647 
 
 1785 
 
 1924 
 
 
 
 42 
 
 2062 
 
 2200 
 
 2338 
 
 2476 
 
 2615 
 
 2753 
 
 2891 
 
 3029 
 
 3167 
 
 3306 
 
 
 138 
 
 43 
 
 3444 
 
 3582 
 
 3720 
 
 3858 
 
 3996 
 
 4135 
 
 4273 
 
 4411 
 
 4549 
 
 4687 
 
 
 I 14 
 
 44 
 
 4825 
 
 4964 
 
 5102 
 
 5240 
 
 5378 
 
 5516 
 
 5654 
 
 5792 
 
 5930 
 
 6068 
 
 138' 
 
 I 28 
 i 41 
 I 55 
 
 45 
 
 6206 
 
 6345 
 
 6483 
 
 6621 
 
 6759 
 
 6897 
 
 7035 
 
 7173 
 
 7311 
 
 7449 
 
 46 
 
 7587 
 
 7725 
 
 7863 
 
 8001 
 
 8139 
 
 8277 
 
 8415 
 
 8553 
 
 8691 
 
 8829 
 
 ) 69 
 
 47 
 
 8967 
 
 9105 
 
 9243 
 
 9381 
 
 9519 
 
 9657 
 
 9795 
 
 9933 
 
 0071 
 
 0209 
 
 
 ) 83 
 
 48 
 
 4980347 
 
 0485 
 
 0623 
 
 0761 
 
 0899 
 
 1037 
 
 1175 
 
 1313 
 
 1451 
 
 1589 
 
 
 ' 97 
 HO 
 
 49 
 
 N. 
 
 1727 
 
 1865 
 
 r 
 
 2002 
 
 2 
 
 2140 
 3 
 
 2278 
 
 4 
 
 2416 
 
 2554 
 
 6" 
 
 2692 
 
 7 
 
 2830 
 
 8 
 
 2968 
 
 9 
 
 
 )124 
 
 
 
 5 
 
 D 
 
 Pts. 
 
N. 31500 L.498 of numbers. (49) 
 
 N. 
 
 
 
 1 
 
 3243 
 
 2 
 
 3381 
 
 3 
 
 3519 
 
 4 
 
 3657 
 
 5 
 
 3795 
 
 6 
 
 3933 
 
 7 
 
 4071 
 
 8 
 
 4208 
 
 9 
 
 4346 
 
 D 
 
 Pro. 
 
 3150 
 
 4983106 
 
 51 
 
 4484 
 
 4622 
 
 4760 
 
 4897 
 
 5035 
 
 5173 
 
 5311 
 
 5449 
 
 5587 
 
 5724 
 
 
 138 
 
 52 
 
 5862 
 
 6000 
 
 6138 
 
 6275 
 
 6413 
 
 6551 
 
 6689 
 
 6826 
 
 6964 
 
 7102 
 
 
 1 14 
 
 53 
 
 7240 
 
 7377 
 
 7515 
 
 7653 
 
 7791 
 
 7928 
 
 8066 
 
 8204 
 
 8341 
 
 8479 
 
 
 2 28 
 
 54 
 
 8617 
 
 8755 
 
 8892 
 
 9030 
 
 9168 
 
 9305 
 
 9443 
 
 9581 
 
 9718 
 
 9856 
 
 
 3 41 
 
 4 55 
 
 55 
 
 9994 
 
 0131 
 
 0269 
 
 0407 
 
 0544 
 
 0682 
 
 0819 
 
 0957 
 
 1095 
 
 1232 
 
 
 5 69 
 
 56 
 
 4991370 
 
 1508 
 
 1645 
 
 1783 
 
 1920 
 
 2058 
 
 2196 
 
 2333 
 
 2471 
 
 2608 
 
 
 6 83 
 
 57 
 
 2746 
 
 2883 
 
 3021 
 
 3158 
 
 3296 
 
 3434 
 
 3571 
 
 3709 
 
 3846 
 
 3984 
 
 
 7 97 
 
 8 110 
 
 58 
 
 4121 
 
 4259 
 
 4396 
 
 4534 
 
 4671 
 
 4809 
 
 4946 
 
 5084 
 
 5221 
 
 5359 
 
 
 9 124 
 
 59 
 
 , 5496 
 
 5634 
 
 5771 
 
 5909 
 
 6046 
 
 6184 
 
 6321 
 
 6459 
 
 6596 
 
 6733 
 
 
 
 3160 
 
 6871 
 
 7008 
 
 7146 
 
 7283 
 
 7421 
 
 7558 
 
 7695 
 
 7833 
 
 7970 
 
 8108 
 
 
 
 61 
 
 8245 
 
 8382 
 
 8520 
 
 8657 
 
 8794 
 
 8932 
 
 9069 
 
 9207 
 
 9344 
 
 9481 
 
 
 
 62 
 
 9619 
 
 9756 
 
 9893 
 
 0031 
 
 0168 
 
 0305 
 
 0443 
 
 0580 
 
 0717 
 
 0855 
 
 
 
 63 
 
 5000992 
 
 1129 
 
 1267 
 
 1404 
 
 1541 
 
 1678 
 
 1816 
 
 1953 
 
 2090 
 
 2227 
 
 
 
 64. 
 
 2365 
 
 2502 
 
 2639 
 
 2777 
 
 2914 
 
 3051 
 
 3188 
 
 3325 
 
 3463 
 
 3600 
 
 
 
 65 
 
 3737 
 
 3874 
 
 4012 
 
 4149 
 
 4286 
 
 4423 
 
 4560 
 
 4698 
 
 4835 
 
 4972 
 
 
 
 66 
 
 5109 
 
 5246 
 
 5383 
 
 5521 
 
 5658 
 
 5795 
 
 5932 
 
 6069 
 
 6206 
 
 6344 
 
 
 
 61 
 
 6481 
 
 6618 
 
 6755 
 
 6892 
 
 7029 
 
 7166 
 
 7303 
 
 7440 
 
 7578 
 
 7715 
 
 
 
 68 
 
 7852 
 
 7989 
 
 8 1 26 1 8263 
 
 8400 
 
 8537 
 
 8674 
 
 8811 
 
 8948 
 
 9085 
 
 137 
 
 
 69 
 
 9222 
 
 9359 
 
 9496 
 
 9634 
 
 9771 
 
 9908 
 
 0045 
 
 0182 
 
 0319 
 
 0456 
 
 
 
 3170 
 
 5010593 
 
 0730 
 
 0867 
 
 1004 
 
 1141 
 
 1278 
 
 1415 
 
 1552 
 
 1688 
 
 1825 
 
 
 
 71 
 
 1962 
 
 2099 
 
 2236 
 
 2373 
 
 2510 
 
 2647 
 
 2784 
 
 2921 
 
 3058 
 
 3195 
 
 
 137 
 
 1 14 
 
 2 27 
 
 72 
 
 3332 
 
 3469 
 
 3606 
 
 3743 
 
 3879 
 
 4016 
 
 4153 
 
 4290 
 
 4427 
 
 4564 
 
 
 73 
 
 4701 
 
 4838 
 
 4974 
 
 5111 
 
 5248 
 
 5385 
 
 5522 
 
 5659 
 
 5796 
 
 5932 
 
 
 74 
 
 6069 
 
 6206 
 
 6343 
 
 6480 
 
 6617 
 
 6753 
 
 6890 
 
 7027 
 
 7164 
 
 7301 
 
 
 3 41 
 
 75 
 
 7437 
 
 7574 
 
 7711 
 
 7848 
 
 7984 
 
 8121 
 
 8258 
 
 8395 
 
 8531 
 
 8668 
 
 
 4 55 
 
 5 69 
 
 6 82 
 
 76 
 
 8805 
 
 8942 
 
 9078 
 
 9215 
 
 9352 
 
 9489 
 
 9625 
 
 9762 
 
 9899 
 
 0035 
 
 
 77 
 
 5020172 
 
 0309 
 
 0446 
 
 0582 
 
 0719 
 
 0856 
 
 0992 
 
 1129 
 
 1266 
 
 1402 
 
 
 7 96 
 
 78 
 
 1539 
 
 1676 
 
 1812 
 
 1949 
 
 2086 
 
 2222 
 
 2359 
 
 2495 
 
 2632 
 
 2769 
 
 
 8 110 
 
 79 
 
 2905 
 
 3042 
 
 3178 
 
 3315 
 
 3452 
 
 3588 
 
 5725 
 
 3861 
 
 3998 
 
 4135 
 
 
 9 123 
 
 3180 
 
 4271 
 
 4408 
 
 4544 
 
 4681 
 
 4817 
 
 4954 
 
 5091 
 
 5227 
 
 5364 
 
 5500 
 
 
 
 81 
 
 5637 
 
 5773 
 
 5910 
 
 6046 
 
 6183 
 
 6319 
 
 6456 
 
 6592 
 
 6729 
 
 6865 
 
 
 
 82 
 
 7002 
 
 7138 
 
 7275 
 
 7411 
 
 7548 
 
 7684 
 
 7821 
 
 7957 
 
 8093 
 
 8230 
 
 
 
 83 
 
 8366 
 
 8503 
 
 8639 
 
 8776 
 
 8912 
 
 9049 
 
 9185 
 
 9321 
 
 9458 
 
 9594 
 
 
 
 84 
 
 9731 
 
 9867 
 
 0003 
 
 0140 
 
 0276 
 
 0413 
 
 0549 
 
 0685 
 
 0822 
 
 0958 
 
 
 
 85 
 
 5031094 
 
 1231 
 
 1367 
 
 1503 
 
 1640 
 
 1776 
 
 1912 
 
 2049 
 
 2185 
 
 2321 
 
 
 
 86 
 
 2458 
 
 2594 
 
 2730 
 
 2867 
 
 3003 
 
 3139 
 
 3276 
 
 3412 
 
 3548 
 
 3684 
 
 
 
 87 
 
 3821 
 
 3957 
 
 4093 
 
 4229 
 
 4366 
 
 4502 
 
 4638 
 
 4774 
 
 4911 
 
 5047 
 
 
 
 88 
 
 5183 
 
 5319 
 
 5456 
 
 5592 
 
 5728; 
 
 5864 
 
 6000 
 
 6137 
 
 6273 
 
 6409 
 
 
 
 89 
 
 6545 
 
 6681 
 
 6818 
 
 6954 
 
 7090 
 
 7226 
 
 7362 
 
 7498 
 
 7635 
 
 7771 
 
 
 
 3190 
 
 7907 
 
 8043 
 
 8179 
 
 8315 
 
 8451 
 
 8587 
 
 8724 
 
 8860 
 
 8996 
 
 9132 
 
 
 
 91 
 
 9268 
 
 9404 
 
 9540 
 
 9676 
 
 9812 
 
 9948 
 
 0085 
 
 0221 
 
 0357 
 
 0493 
 
 
 
 92 
 
 5040629 
 
 0765 
 
 0901 
 
 1037 
 
 1173 
 
 1309 
 
 1445 
 
 1581 
 
 1717 
 
 1853 
 
 
 156 
 
 93 
 
 1989 
 
 2125 
 
 2261 
 
 2397 
 
 2533 
 
 2669 
 
 2805 
 
 2941 
 
 3077 
 
 3213 
 
 
 1 14 
 
 94 
 
 3349 
 
 3485 
 
 3621 
 
 3757 
 
 3893 
 
 4029 
 
 4165 
 
 4301 
 
 4437 
 
 4573 
 
 136 
 
 2 27 
 
 3 41 
 
 95 
 
 4709 
 
 4845 
 
 4980 
 
 5116 
 
 5252 
 
 5388 
 
 5524 
 
 5660 
 
 5796 
 
 5932 
 
 
 4 54 
 
 96 
 
 6068 
 
 6204 
 
 6339 
 
 6475 
 
 6611 
 
 6747 
 
 6883 
 
 7019 
 
 7155 
 
 7291 
 
 
 5 68 
 
 97 
 
 7426 
 
 7562 
 
 7698 
 
 7834 
 
 7970 
 
 8106 
 
 8241 
 
 8377 
 
 8513 
 
 8649 
 
 
 6 82 
 
 7 95 
 
 8 109 
 
 98 
 
 8785 
 
 8920 
 
 9056 
 
 9192 
 
 9328 
 
 9464 
 
 9599 
 
 9735 
 
 9871 
 
 0007 
 
 
 99 
 
 N. 
 
 5050142 
 
 0278 
 1 1 
 
 0414 
 2 
 
 0550 
 
 3 
 
 0685 
 
 0821 
 5 
 
 0957 
 
 1093 
 
 7 
 
 1228 
 
 8 
 
 1364 
 9 
 
 D 
 
 9 122 ' 
 
 Pts. 
 
 
 
 ,4 
 
 6' 
 
 2li 
 
(50) 
 
 LOGARITHMS 
 
 N. 3^2000 L. 505 
 
 N. 
 
 3200 
 01 
 02 
 03 
 04. 
 
 C5 
 
 06 
 07 
 08 
 09 
 
 3210 
 11 
 12 
 13. 
 14 
 
 15 
 16 
 17 
 IS 
 19 
 
 3220 
 21 
 22 
 23 
 24 
 
 
 
 5051500 
 2857 
 4213 
 5569 
 G925 
 
 8280 
 9635 
 5060990 
 2344 
 3697 
 
 5050 
 6403 
 7755 
 9107 
 5070459 
 
 _1^ 
 
 1635 
 2992 
 4349 
 5705 
 7061 
 
 8416 
 9771 
 1125 
 
 2479 
 3833 
 
 5186 
 6538 
 7891 
 9242 
 0594 
 
 1810 1945 
 3160 3295 
 4511 4646 
 5860 5995 
 7210 7345 
 
 25 
 26 
 27 
 28 
 29 
 
 3230 
 31 
 32 
 33 
 34 
 
 8559 
 9907 
 5081255 
 2603 
 3950 
 
 5297 
 6644 
 7990 
 9335 
 5090680 
 
 2025 
 3370 
 4714 
 6057 
 7400 
 
 35 
 
 8743 
 
 36 
 
 5100085 
 
 37 
 
 1427 
 
 38 
 
 2768 
 
 39 
 
 4109 
 
 3240 
 
 5450 
 
 41 
 
 6790 
 
 42 
 
 8130 
 
 43 
 
 9469 
 
 44 
 
 5110808 
 
 45 
 
 2147 
 
 46 
 
 3485 
 
 47 
 
 4823 
 
 48 
 
 6160 
 
 49 
 
 7497 
 
 N. 
 
 
 
 8694 
 S042 
 1390 
 2738 
 4085 
 
 5432 
 
 6778 
 8124 
 9470 
 0815 
 
 2160 
 3504 
 4848 
 6191 
 7534 
 
 8877 
 0219 
 1561 
 2903 
 4244 
 
 6924 
 8264 
 9603 
 0942 
 2281 
 3619 
 4957 
 6294 
 7631 
 
 1 
 
 1771 
 3128 
 4485 
 5841 
 7196 
 
 8551 
 9906 
 1260 
 2614 
 3968 
 5321 
 6674 
 8026 
 9378 
 0729 
 
 2080 
 3430 
 4781 
 6130 
 7480 
 
 8828 
 0177 
 1525 
 2873 
 4220 
 
 5567 
 6913 
 8259 
 9604 
 0949 
 
 2294 
 3638 
 4982 
 6326 
 7669 
 9011 
 0354 
 1695 
 3037 
 4378 
 
 1907 
 3264 
 4620 
 5976 
 7332 
 
 8687 
 S042 
 1396 
 2750 
 4103 
 
 5456 
 6809 
 8161 
 9513 
 0864 
 
 2215 
 3566 
 4916 
 6265 
 7614 
 
 2043 
 3399 
 4756 
 6112 
 7467 
 
 8822 
 0177 
 1531 
 2885 
 4238 
 
 5591 
 
 6944 
 8296 
 9648 
 0999 
 2350 
 3701 
 5051 
 6400 
 7749 
 
 8963 9098 
 0312 0447 
 
 5584 5718 
 
 7058 
 8398 
 9737 
 1076 
 
 2415 
 3753 
 5090 
 6428 
 7764 
 
 2 
 
 1660 
 3007 
 4354 
 
 5701 
 7047 
 8393 
 9739 
 1084 
 
 2429 
 3773 
 5117 
 6460 
 7803 
 
 9146 
 0488 
 1829 
 3171 
 
 4512 4646 
 
 5852 
 7192 
 8532 
 9871 
 1210 
 
 2548 
 3887 
 5224 
 6561 
 7898 
 
 3 
 
 1794 
 3142 
 
 4489 
 
 5836 
 7182 
 8528 
 9873 
 1218 
 
 2563 
 3907 
 5251 
 6594 
 7937 
 
 9280 
 0622 
 1964 
 3305 
 
 5986 
 7326 
 8666 
 S005 
 1344 
 
 2682 
 4020 
 5358 
 6695 
 8032 
 
 2178 
 3535 
 4891 
 6247 
 7603 
 
 8958 
 0312 
 1667 
 3020 
 4374 
 
 5727 
 7079 
 8431 
 9763 
 1134 
 
 2485 
 3836 
 5186 
 6535 
 
 7884 
 
 9233 
 •0581 
 1929 
 3277 
 4624 
 
 5970 
 7317 
 8663 
 0008 
 1353 
 
 2697 
 4042 
 5385 
 6729 
 8072 
 
 9414 
 0756 
 2098 
 3439 
 4780 
 
 6120 
 
 7460 
 8800 
 0139 
 
 1478 
 
 2816 
 4154 
 
 5492 
 6829 
 8165 
 
 2314 
 3671 
 5027 
 6383 
 7738 
 
 9093 
 0448 
 1802 
 3156 
 4509 
 
 5862 5997 
 7214 7350 
 
 2450 
 
 3806 
 
 5163 
 
 651 
 
 7874 
 
 9229 
 0583 
 1937 
 3291 
 4644 
 
 ^*^65 
 
 8567 
 9918 
 1269 
 
 2620 
 3971 
 5321 
 6670 
 8019 
 9368 
 0716 
 2064 
 3411 
 4758 
 
 6105 
 7451 
 8797 
 0142 
 1487 
 
 2832 
 4176 
 5520 
 6863 
 8206 
 
 9548 
 0890 
 2232 
 3573 
 4914 
 
 6254 
 
 7594 
 8934 
 0273 
 1612 
 
 8702 
 0053 
 1405 
 
 2755 
 4106 
 5456 
 6805 
 8154 
 
 9503 
 
 085] 
 
 21 
 
 3546 
 
 4893 
 
 6240 
 7586 
 8932 
 0277 
 1622 
 
 2966 
 4310 
 5654 
 6997 
 8340 
 
 9682 
 1024 
 2366 
 3707 
 5048 
 
 6388 
 7728 
 
 2950 
 4288 
 5625 
 6962 
 8299 
 
 6 I 
 
 0407 
 1745 
 
 3084 
 4422 
 5759 
 7096 
 8433 
 
 2585 
 3942 
 5298 
 4 
 8009 
 
 9364 
 
 071 
 
 2073 
 
 3426 
 
 4780 
 
 6133 
 
 7485 
 8837 
 0188 
 1540 
 
 2890 
 4241 
 5590 
 6940 
 8289 
 
 9638 
 0986 
 2334 
 3681 
 5028 
 6374 
 7720 
 9066 
 0411 
 1756 
 
 3101 
 4445 
 5788 
 7132 
 
 8474 
 
 9817 
 1159 
 2500 
 3841 
 5182 
 
 9 
 
 6522 
 7862 
 9202 
 0541 
 1879 
 
 3218 
 4555 
 5893 
 7230 
 8566 
 
 ~8~ 
 
 2721 
 4078 
 5434 
 6790 
 8145 
 
 9500 
 0854 
 2208 
 3562 
 4915 
 
 6268 
 7620 
 
 8972 
 0324 
 1675 
 
 3025 
 4376 
 5725 
 7075 
 8424 
 
 9772 
 1121 
 2468 
 3816 
 5163 
 
 6509 
 7855 
 9201 
 0546 
 1891 
 
 3235 
 4579 
 5923 
 7266 
 8609 
 9951 
 1293 
 2634 
 3975 
 5316 
 
 6656 
 7996 
 9336 
 0675 
 2013 
 
 335}\ 
 
 4689 
 6026 
 7363 
 8700 
 
 134 
 
 D 
 
 134 
 13 
 27 
 40 
 54 
 67 
 80 
 94 
 107 
 i21 
 
 PtS. 
 
N. 32500 L.511 OF NUMBERS. (51) 
 
 N. 
 
 3250 
 
 
 
 1 
 
 8967 
 
 2 
 9101 
 
 3 
 
 9234 
 
 4 
 
 9368 
 
 5 
 
 9502 
 
 6 
 
 7 
 
 8 
 
 9903 
 
 9 
 
 0036 
 
 D 
 
 Pro. 
 
 5118834 
 
 9635 
 
 9769 
 
 51 
 
 5120170 
 
 0303 
 
 0437 
 
 0570 
 
 0704 
 
 0838 
 
 0971 
 
 1105 
 
 1238 
 
 1372 
 
 
 134 
 
 52 
 
 1505 
 
 1639 
 
 1772 
 
 1906 
 
 2040 
 
 2173 
 
 2307 
 
 2440 
 
 2574 
 
 2707 
 
 
 1 13 
 
 53 
 
 2841 
 
 2974 
 
 3108 
 
 3241 
 
 5375 
 
 3503 
 
 3642 
 
 3775 
 
 3909 
 
 4042 
 
 
 2 27 
 
 54 
 
 4175 
 
 4309 
 
 4442 
 
 4576 
 
 4709 
 
 4843 
 
 4976 
 
 5110 
 
 5243 
 
 5377 
 
 
 3 40 
 
 4 54 
 
 55 
 
 5510 
 
 5643 
 
 5777 
 
 5910 
 
 6044 
 
 6177 
 
 6310 
 
 6444 
 
 6577 
 
 6711 
 
 
 5 G7 
 
 56 
 
 6844 
 
 6977 
 
 7111 
 
 7244 
 
 7377 
 
 7511 
 
 7644 
 
 7778 
 
 7911 
 
 8044 
 
 
 6 80 
 
 51 
 
 8178 
 
 8311 
 
 8444 
 
 8578 
 
 8711 
 
 8844 
 
 8978 
 
 9111 
 
 9244 
 
 9377 
 
 
 7 94 
 
 8 107 
 
 58 
 
 9511 
 
 9644 
 
 9777 
 
 9911 
 
 0044 
 
 0177 
 
 0311 
 
 0444 
 
 0577 
 
 0710 
 
 
 9 121 
 
 59 
 
 5130844 
 
 0977 
 
 1110 
 
 1243 
 
 1377 
 
 1510 
 
 1643 
 
 1776 
 
 1910 
 
 20 13 
 
 ' 
 
 
 3260 
 
 2176 
 
 2309 
 
 2442 
 
 2576 
 
 2709 
 
 2842 
 
 2975 
 
 3108 
 
 3212 
 
 ^3375 
 
 133 
 
 
 61 
 
 3508 
 
 3641 
 
 3774 
 
 3)08 
 
 4041 
 
 4174 
 
 4307 
 
 4440 
 
 4573 
 
 4706 
 
 
 
 62 
 
 4840 
 
 4973 
 
 5106 
 
 5239 
 
 5372 
 
 5505 
 
 5638 
 
 5771 
 
 5905 
 
 6038 
 
 
 
 63 
 
 6171 
 
 6304 
 
 6437 
 
 6570 
 
 6703 
 
 6836 
 
 6969 
 
 7102 
 
 7235 
 
 7368 
 
 
 
 64 
 
 7502 
 
 7635 
 
 7768 
 
 7901 
 
 8034 
 
 8167 
 
 8300 
 
 8433 
 
 8566 
 
 8699 
 
 
 
 65 
 
 8832 
 
 8965 
 
 9098 
 
 9231 
 
 9364 
 
 9497 
 
 9630 
 
 9763 
 
 9896 
 
 0029 
 
 
 
 66 
 
 5140162 
 
 0295 
 
 0428 
 
 0561 
 
 0694 
 
 0827 
 
 0960 
 
 1093 
 
 1225 
 
 1358 
 
 
 
 67 
 
 1491 
 
 1624 
 
 1757 
 
 1890 
 
 2023 
 
 2156 
 
 2289 
 
 2422 
 
 2555 
 
 2688 
 
 
 
 68 
 
 2820 
 
 2953 
 
 3086 
 
 3219 
 
 3352 
 
 3485 
 
 3618 
 
 3751 
 
 3883 
 
 4016 
 
 
 
 69 
 
 4149 
 
 4282 
 
 4415 
 
 4548 
 
 4681 
 
 4813 
 
 4946 
 
 5079 
 
 5212 
 
 5345 
 
 
 
 3270 
 
 547& 
 
 5610 
 
 5743 
 
 5876 
 
 6009 
 
 6142 
 
 6274 
 
 6407 
 
 6540 
 
 6673 
 
 
 
 71 
 
 6805 
 
 6938 
 
 7071 
 
 7204 
 
 7336 
 
 7469 
 
 7602 
 
 7735 
 
 7867 
 
 8000 
 
 
 133 
 I 13 
 
 72 
 
 8133 
 
 8266 
 
 8398 
 
 8531 
 
 8664 
 
 8797 
 
 8929 
 
 9062 
 
 9195 
 
 9327 
 
 
 73 
 
 9460 
 
 9593 
 
 9725 
 
 9858 
 
 9991 
 
 0123 
 
 0256 
 
 0389 
 
 0521 
 
 0654 
 
 
 2 27 
 
 74 
 
 5150787 
 
 0919 
 
 1052 
 
 1185 
 
 1317 
 
 1450 
 
 1583 
 
 1715 
 
 1848 
 
 1980 
 
 
 3 40 
 
 75 
 
 2113 
 
 2246 
 
 2378 
 
 2511 
 
 2643 
 
 2776 
 
 2909 
 
 3041 
 
 3174 
 
 3306 
 
 
 4 53 
 
 5 67 
 
 76 
 
 3439 
 
 3571 
 
 3704 
 
 3837 
 
 3969 
 
 4102 
 
 4234 
 
 4367 
 
 4499 
 
 4632 
 
 
 6 80 
 
 77 
 
 4764 
 
 4897 
 
 5029 
 
 5162 
 
 5294 
 
 5427 
 
 5560 
 
 5692 
 
 5825 
 
 5957 
 
 
 7 93 
 
 78 
 
 6089 
 
 6222 
 
 6354 
 
 6487 
 
 6619 
 
 6752 
 
 6884 
 
 7017 
 
 7149 
 
 7282 
 
 
 8 106 
 
 79 
 
 7414 
 
 7547 
 
 7679 
 
 7811 
 
 7944 
 
 8076 
 
 8209 
 
 8341 
 
 8474 
 
 8606 
 
 
 9 120 
 
 3280 
 
 8738 
 
 8871 
 
 9003 
 
 9136 
 
 9268 
 
 9400 
 
 9533 
 
 9665 
 
 9798 
 
 9930 
 
 
 
 81 
 
 5160062 
 
 0195 
 
 0327 
 
 0459 
 
 0592 
 
 0724 
 
 0856 
 
 0989 
 
 1121 
 
 1253 
 
 
 
 82 
 
 1386 
 
 1518 
 
 1650 
 
 1783 
 
 1915 
 
 2047 
 
 2180 
 
 2312 
 
 2444 
 
 2577 
 
 
 
 83 
 
 2709 
 
 2841 
 
 2973 
 
 3106 
 
 3238 
 
 3370 
 
 3502 
 
 3635 
 
 3767 
 
 3899 
 
 
 
 84 
 
 4031 
 
 4164 
 
 4296 
 
 4428 
 
 4560 
 
 4693 
 
 4825 
 
 4957 
 
 5089 
 
 5222 
 
 
 
 85 
 
 5354 
 
 5486 
 
 5618 
 
 5750 
 
 5883 
 
 6015 
 
 6147 
 
 6279 
 
 6411 
 
 6543 
 
 
 
 86 
 
 6676 
 
 6808 
 
 6940 
 
 7072 
 
 7204 
 
 7336 
 
 7469 
 
 7601 
 
 7733 
 
 7865 
 
 
 
 87 
 
 7997 
 
 8129 
 
 8261 
 
 8393 
 
 8526 
 
 8658 
 
 8790 
 
 8922 
 
 9054 
 
 9186 
 
 
 
 88 
 
 9318 
 
 9450 
 
 9582 
 
 9714 
 
 9846 
 
 9978 
 
 0111 
 
 0243 
 
 0375 
 
 0507 
 
 
 
 89 
 
 5170639 
 
 0771 
 
 0903 
 
 1035 
 
 1167 
 
 1299 
 
 1431 
 
 1563 
 
 1695 
 
 1827 
 
 132 
 
 
 3290 
 
 1959 
 
 2091 
 
 2223 
 
 2355 
 
 2487 
 
 2619 
 
 2751 
 
 2883 
 
 3015 
 
 3147 
 
 
 91 
 
 3279 
 
 3411 
 
 3543 
 
 3 67 5 
 
 3807 
 
 3939 
 
 4071 
 
 4202 
 
 4334 
 
 4466 
 
 
 
 92 
 
 4598 
 
 4730 
 
 4862 
 
 4994 
 
 5126 
 
 5258 
 
 5390 
 
 5522 
 
 5654 
 
 5785 
 
 
 132 
 
 93 
 
 5917 
 
 6049 
 
 6181 
 
 6313 
 
 6445 
 
 6577 
 
 6709 
 
 6840 
 
 6972 
 
 7104 
 
 
 I 13 
 
 94 
 
 7236 
 
 7368 
 
 7500 
 
 7631 
 
 7763 
 
 7895 
 
 8027 
 
 8159 
 
 8291 
 
 8422 
 
 
 i 26 
 3 40 
 
 95 
 
 8554 
 
 8686 
 
 8818 
 
 8950 
 
 9081 
 
 9213 
 
 9345 
 
 9477 
 
 9608 
 
 9740 
 
 
 i 53 
 
 96 
 
 9872 
 
 0004 
 
 0136 
 
 0267 
 
 0399 
 
 0531 
 
 0663 
 
 0794 
 
 0926 
 
 1058 
 
 
 5 66" 
 
 97 
 
 5181189 
 
 1321 
 
 1453 
 
 1585 
 
 1716 
 
 1848 
 
 1980 
 
 2111 
 
 2243 
 
 2375 
 
 ( 
 
 3 79 
 
 7 92 
 i 106 
 
 98 
 
 2507 
 
 2638 
 
 2770 
 
 2902 
 
 3033 
 
 3165 
 
 3297 
 
 3428 
 
 35oO 
 
 3692 
 
 i 
 
 99 
 
 N. 
 
 3823 
 
 3955 
 1 
 
 4086 
 2 
 
 4218 
 
 3 
 
 4350 
 
 4 
 
 4481 
 5 
 
 4613 
 
 6 
 
 4745 
 
 7 
 
 4876 
 8 
 
 5008 
 
 9 1 
 
 1 
 
 D 
 
 J 119 
 
 
 
 Pte. 
 
 2H2 
 
m 
 
 LOGARITHMS N. 33000 L. 6 1 8 
 
 N. 
 
 3300 
 
 
 
 1 
 527 1 
 
 2 
 5403 
 
 3 
 
 4 
 
 5666 
 
 5 
 
 6' 
 
 5929 
 
 7 
 
 6061 
 
 8 
 
 6192 
 
 9 
 
 6324 
 
 D 
 
 Pro. 
 
 5185139 
 
 5534 
 
 5797 
 
 01 
 
 6455 
 
 6587 
 
 6718 
 
 6850 
 
 6981 
 
 7113 
 
 7245 
 
 7376 
 
 7508 
 
 7639 
 
 
 132 
 
 02 
 
 7771 
 
 7902 
 
 8034 
 
 8165 
 
 8297 
 
 8428 
 
 8560 
 
 8691 
 
 8823 
 
 8954 
 
 
 1 13 
 
 03 
 
 9086 
 
 9217 
 
 9349 
 
 9480 
 
 9612 
 
 9743 
 
 9875 
 
 0006 
 
 0137 
 
 0269 
 
 
 2 26 
 
 3 40 
 
 4 63 
 
 04 
 
 5190400 
 
 0532 
 
 0663 
 
 0795 
 
 0926 
 
 1058 
 
 1189 
 
 1320 
 
 1452 
 
 1583 
 
 
 05 
 
 1715 
 
 1846 
 
 1977 
 
 2109 
 
 2240 
 
 2372 
 
 2503 
 
 2634 
 
 2766 
 
 2897 
 
 
 5 66 
 
 06 
 
 3028 
 
 3160 
 
 3291 
 
 3423 
 
 3554 
 
 3685 
 
 3SI7 
 
 3948 
 
 4079 
 
 4211 
 
 
 6 70 
 
 7 92 
 
 8 106 
 
 07 
 
 4342 
 
 4473 
 
 4605 
 
 4736 
 
 4867 
 
 4999 
 
 5130 
 
 5261 
 
 5392 
 
 5524 
 
 
 08 
 
 5655 
 
 5786 
 
 5918 
 
 6049 
 
 6180 
 
 6311 
 
 6443 
 
 6574 
 
 6705 
 
 6836 
 
 
 9 119 
 
 09 
 
 6968 
 
 7099- 
 
 7230 
 
 7361 
 
 7493 
 
 7624 
 
 7755 
 
 7886 
 
 8018 
 
 8149 
 
 
 
 3310 
 
 8280 
 
 8411 
 
 8542 
 
 8674 
 
 8805 
 
 8936 
 
 9067 
 
 9198 
 
 9329 
 
 9461 
 
 
 
 11 
 
 9592 
 
 9723 
 
 9854 
 
 9985 
 
 0116 
 
 0248 
 
 0379 
 
 0510 
 
 0641 
 
 0772 
 
 
 
 12 
 
 5200903 
 
 1034 
 
 1166 
 
 1297 
 
 1428 
 
 1559 
 
 1690 
 
 1821 
 
 1952 
 
 2083 
 
 
 
 13 
 
 2214 
 
 2345 
 
 2477 
 
 2608 
 
 2739 
 
 2870 
 
 3001 
 
 3132 
 
 3263 
 
 3394 
 
 
 
 14 
 
 3525 
 
 3656 
 
 3787 
 
 3918 
 
 4049 
 
 4180 
 
 4311 
 
 4442 
 
 4573 
 
 4704 
 
 131 
 
 
 15 
 
 4835 
 
 4966 
 
 5097 
 
 5228 
 
 5359 
 
 5490 
 
 5621 
 
 5752 
 
 5883 
 
 6014 
 
 
 
 16 
 
 6145 
 
 6276 
 
 6407 
 
 6538 
 
 6669 
 
 6800 
 
 6931 
 
 7062 
 
 7193 
 
 7324 
 
 
 
 17 
 
 7455 
 
 7586 
 
 7717 
 
 7847 
 
 7978 
 
 8109 
 
 8240 
 
 8371 
 
 8502 
 
 8633 
 
 
 
 18 
 
 8764 
 
 8895 
 
 9026 
 
 9156 
 
 9287 
 
 9418 
 
 9549 
 
 9680 
 
 9811 
 
 9942 
 
 
 
 19 
 
 5210073 
 
 0203 
 
 0334 
 
 0465 
 
 0596 
 
 0727 
 
 0858 
 
 0988 
 
 1119 
 
 1250 
 
 
 
 3320 
 
 1331 
 
 1512 
 
 1642 
 
 1773 
 
 1904 
 
 2035 
 
 2166 
 
 2296 
 
 2427 
 
 2558 
 
 
 
 21 
 
 2689 
 
 2820 
 
 2950 
 
 3081 
 
 3212 
 
 3343 
 
 3473 
 
 3604 
 
 3735 
 
 3866 
 
 
 131 
 1 13 
 
 22 
 
 3996 
 
 4127 
 
 4258 
 
 4388 
 
 4519 
 
 4650 
 
 4781 
 
 4911 
 
 5042 
 
 5173 
 
 
 23 
 
 5303 
 
 5434 
 
 5565 
 
 5695 
 
 5826 
 
 5957 
 
 6088 
 
 6218 
 
 6349 
 
 6479 
 
 
 2 26 
 
 24 
 
 ,6610 
 
 6741 
 
 6871 
 
 7002 
 
 7133 
 
 7263 
 
 7394 
 
 7525 
 
 7655 
 
 7786 
 
 
 3 39 
 
 25 
 
 7916 
 
 8047 
 
 8178 
 
 8308 
 
 8439 
 
 8570 
 
 8700 
 
 8831 
 
 8961 
 
 9092 
 
 
 4 52 
 
 5 66 
 
 26 
 
 9222 
 
 9353 
 
 9484 
 
 9614 
 
 9745 
 
 9875 
 
 0006 
 
 0136 
 
 0267 
 
 0397 
 
 
 6 79 
 
 27 
 
 5220528 
 
 0659 
 
 0789 
 
 0920 
 
 1050 
 
 1181 
 
 1311 
 
 1442 
 
 1572 
 
 1703 
 
 
 7 92 
 
 28 
 
 1833 
 
 1964 
 
 2094 
 
 2225 
 
 2355 
 
 2486 
 
 2616 
 
 2747 
 
 2877 
 
 3007 
 
 
 8 105 
 
 29 
 
 3138 
 
 3268 
 
 3399 
 
 3529 
 
 3660 
 
 3790 
 
 3921 
 
 4051 
 
 4181 
 
 4312 
 
 
 9 118 
 
 3330 
 
 4442 
 
 4573 
 
 4703 
 
 4834 
 
 4964 
 
 5094 
 
 5225 
 
 5355 
 
 5486 
 
 5616 
 
 
 
 31 
 
 5746 
 
 5877 
 
 6007 
 
 6137 
 
 6268 
 
 6398 
 
 6529 
 
 6659 
 
 6789 
 
 6920 
 
 
 
 32 
 
 7050 
 
 7180 
 
 7311 
 
 7441 
 
 7571 
 
 7702 
 
 7832 
 
 7962 
 
 8093 
 
 8223 
 
 
 
 33 
 
 8353 
 
 8483 
 
 8614 
 
 8744 
 
 8874 
 
 9005 
 
 9135 
 
 9265 
 
 9395 
 
 9526 
 
 
 
 34 
 
 9656 
 
 9786 
 
 9916 
 
 0047 
 
 0177 
 
 0307 
 
 0437 
 
 0568 
 
 0698 
 
 0828 
 
 
 
 35 
 
 5230958 
 
 1089 
 
 1219 
 
 1349 
 
 1479 
 
 1609 
 
 1740 
 
 1870 
 
 2000 
 
 2130 
 
 
 
 36 
 
 2260 
 
 2591 
 
 2521 
 
 2651 
 
 2781 
 
 2911 
 
 3041 
 
 3172 
 
 3302 
 
 3432 
 
 
 
 37 
 
 3562 
 
 3692 
 
 3822 
 
 3952 
 
 4083 
 
 4213 
 
 4343 
 
 4473 
 
 4603 
 
 4733 
 
 
 
 38 
 
 4863 
 
 4993 
 
 5124 
 
 5254 
 
 5384 
 
 5514 
 
 5644 
 
 5774 
 
 5904 
 
 6034 
 
 
 
 39 
 
 6164 
 
 6294 
 
 6424 
 
 6554 
 
 6684 
 
 6814 
 
 6945 
 
 7075 
 
 7205 
 
 7335 
 
 
 
 3340 
 
 7465 
 
 7595 
 
 7725 
 
 7855 
 
 7985 
 
 8115 
 
 8245 
 
 8375 
 
 8505 
 
 8635 
 
 
 
 41 
 
 8765 
 
 8895 
 
 9025 
 
 9155 
 
 9285 
 
 9415 
 
 9545 
 
 9675 
 
 9805 
 
 9935 
 
 
 
 42 
 
 5240064 
 
 0194 
 
 0324 
 
 0454 
 
 0584 
 
 0714 
 
 0844 
 
 0974 
 
 1104 
 
 1234 
 
 
 130 
 
 43 
 
 1364 
 
 1494 
 
 1624 
 
 1753 
 
 1883 
 
 2013 
 
 2143 
 
 2273 
 
 2403 
 
 2533 
 
 
 1 13 
 
 44 
 
 2663 
 
 2793 
 
 2922 
 
 3052 
 
 3182 
 
 3312 
 
 3442 
 
 3572 
 
 3702 
 
 3831 
 
 
 I 26 
 J 39 
 
 45 
 
 3961 
 
 4091 
 
 4221 
 
 4351 
 
 4481 
 
 4610 
 
 4740 
 
 4870 
 
 5000 
 
 5130 
 
 
 1 52 
 
 46 
 
 5259 
 
 5389 
 
 5519 
 
 5649 
 
 5779 
 
 5908 
 
 6038 
 
 6168 
 
 6298 
 
 6427 
 
 130 i 
 
 , 65 
 
 47 
 
 6557 
 
 6687 
 
 6817 
 
 6946 
 
 7076 
 
 7206 
 
 7336 
 
 7465 
 
 7595 
 
 7725 
 
 ( 
 
 ) 78 
 
 91 
 
 104 
 
 48 
 
 7854 
 
 7984 
 
 8114 
 
 8244 
 
 8373 
 
 8503 
 
 8633 
 
 8762 
 
 8892 
 
 9022 
 
 49 
 
 9151 
 
 9281 
 1 
 
 9411 
 
 2 
 
 9540 
 
 9670 
 4 
 
 9800 
 5 
 
 9929' 
 
 6 
 
 0059 0189| 
 
 0318 
 
 9 
 
 c 
 
 D 
 
 117 
 
 Pts. 
 
 
 
 3 
 
 7 1 
 
 8 1 
 
N. 33500 L. 5^25 of numbers. (53) 
 
 3350 
 
 
 
 1 
 
 0578 
 
 2 
 0707 
 
 3 
 
 0837 
 
 4 
 
 0967 
 
 5 
 
 1096 
 
 6 
 
 1226 
 
 7 
 
 1355 
 
 8 
 
 1485 
 
 9 
 
 1615 
 
 D 
 
 Pro. 
 
 5250448 
 
 51 
 
 1744 
 
 1874 
 
 2003 
 
 2135 
 
 2263 
 
 2392 
 
 2522 
 
 2651 
 
 2781 
 
 2911 
 
 
 130 
 
 52 
 
 3040 
 
 3170 
 
 3299 
 
 3429 
 
 3558 
 
 3688 
 
 3817 
 
 3947 
 
 4076 
 
 4206 
 
 
 J 13 
 
 53 
 
 4336 
 
 4465 
 
 4595 
 
 4724 
 
 4854 
 
 4983 
 
 5113 
 
 5242 
 
 5372 
 
 5501 
 
 
 2 26 
 
 54 
 
 5631 
 
 5760 
 
 5890 
 
 6019 
 
 6148 
 
 6278 
 
 6407 
 
 6537 
 
 6666 
 
 6796 
 
 
 3 39 
 
 4 52 
 
 55 
 
 6925 
 
 7055 
 
 7184 
 
 7314 
 
 7443 
 
 7572 
 
 7702 
 
 7831 
 
 7961 
 
 8090 
 
 
 5 65 
 
 56 
 
 8220 
 
 8349 
 
 8478 
 
 8608 
 
 8737 
 
 8867 
 
 8996 
 
 9125 
 
 9255 
 
 9384 
 
 
 6 78 
 
 51 
 
 9513 
 
 9643 
 
 9772 
 
 9902 
 
 0031 
 
 0160 
 
 0290 
 
 0419 
 
 0548 
 
 0678 
 
 
 7 91 
 
 8 104 
 
 9 117 
 
 58 
 
 5260807 
 
 0936 
 
 1066 
 
 1195 
 
 1324 
 
 1454 
 
 1583 
 
 1712 
 
 1841 
 
 1971 
 
 
 59 
 
 2100 
 
 2229 
 
 2359 
 
 2488 
 
 2617 
 
 2746 
 
 2876 
 
 3005 
 
 3134 
 
 3264 
 
 
 
 3360 
 
 3393 
 
 3522 
 
 3651 
 
 3781 
 
 3910 
 
 4039 
 
 4168 
 
 4297 
 
 4427 
 
 4556 
 
 
 
 61 
 
 4685 
 
 4814 
 
 4944 
 
 5073 
 
 5202 
 
 5331 
 
 5460 
 
 5590 
 
 5719 
 
 5848 
 
 
 
 62 
 
 5977 
 
 6106 
 
 6235 
 
 6365 
 
 6494 
 
 6623 
 
 6752 
 
 6881 
 
 7010 
 
 7140 
 
 
 
 63 
 
 7269 
 
 7398 
 
 7527 
 
 7656 
 
 7785 
 
 7914 
 
 8043 
 
 8173 
 
 8302 
 
 8431 
 
 
 
 64 
 
 8560 
 
 8689 
 
 8818 
 
 8947 
 
 9076 
 
 9205 
 
 9334 
 
 9463 
 
 9593 
 
 9722 
 
 
 
 65 
 
 9851 
 
 9980 
 
 0109 
 
 0238 
 
 0367 
 
 0496 
 
 0625 
 
 0754 
 
 0883 
 
 1012 
 
 
 
 QQ 
 
 5271141 
 
 1270 
 
 1399 
 
 1528 
 
 1657 
 
 1786 
 
 1915 
 
 2044 
 
 2173 
 
 2302 
 
 129 
 
 
 67 
 
 2431 
 
 2560 
 
 2689 
 
 2818 
 
 2947 
 
 3076 
 
 3205 
 
 3334 
 
 3463 
 
 3592 
 
 
 68 
 
 3721 
 
 3850 
 
 3979 
 
 4108 
 
 4237 
 
 4366 
 
 4494 
 
 4623 
 
 4752 
 
 4881 
 
 
 
 69 
 
 5010 
 
 5139 
 
 5268 
 
 5397 
 
 5526 
 
 5Q55 
 
 5783 
 
 5912 
 
 6041 
 
 6170 
 
 
 
 3370 
 
 6299 
 
 6428 
 
 6557 
 
 6686 
 
 6814 
 
 6943 
 
 7072 
 
 7201 
 
 7330 
 
 7459 
 
 
 
 71 
 
 7588 
 
 7716 
 
 7845 
 
 7974 
 
 8103 
 
 8232 
 
 8360 
 
 8489 
 
 8618 
 
 8747 
 
 
 129 
 
 1 13 
 
 2 26 
 
 72 
 
 8876 
 
 9004 
 
 9133 
 
 9262 
 
 9391 
 
 9520 
 
 9648 
 
 9777 
 
 9906 
 
 0035 
 
 
 73 
 
 5280163 
 
 0292 
 
 0421 
 
 0550 
 
 0678 
 
 0807 
 
 0936 
 
 1065 
 
 1193 
 
 1322 
 
 
 74 
 
 1451 
 
 1579 
 
 1708 
 
 1837 
 
 1966 
 
 2094 
 
 2223 
 
 2352 
 
 2480 
 
 2609 
 
 
 3 39 
 
 75 
 
 2738 
 
 2866 
 
 2995 
 
 3124 
 
 3252 
 
 3381 
 
 3510 
 
 3638 
 
 3767 
 
 3896 
 
 
 4 52 
 
 5 65 
 
 6 77 
 
 76 
 
 4024 
 
 4153 
 
 4282 
 
 4410 
 
 4539 
 
 4668 
 
 4796 
 
 4925 
 
 5053 
 
 5182 
 
 
 77 
 
 5311 
 
 5439 
 
 5568 
 
 5696 
 
 5825 
 
 5954 
 
 6082 
 
 6211 
 
 6339 
 
 6468 
 
 
 7 90 
 
 78 
 
 6596 
 
 6725 
 
 6854 
 
 6982 
 
 7111 
 
 7239 
 
 7368 
 
 7496 
 
 7625 
 
 7753 
 
 
 8 103 
 
 79 
 
 7882 
 
 8010 
 
 8139 
 
 8267 
 
 8396 
 
 8525 
 
 8653 
 
 8782 
 
 8910 
 
 9039 
 
 
 9 116 
 
 3380 
 
 9167 
 
 9295 
 
 9424 
 
 9552 
 
 9681 
 
 9809 
 
 9938 
 
 0066 
 
 0195 
 
 0323 
 
 
 
 81 
 
 5290452 
 
 0580 
 
 0709 
 
 0837 
 
 0965 
 
 1094 
 
 1222 
 
 1351 
 
 1479 
 
 1608 
 
 
 
 82 
 
 1736 
 
 1864 
 
 1993 
 
 2121 
 
 2250 
 
 2378 
 
 2506 
 
 2635 
 
 2763 
 
 2892 
 
 
 . 
 
 83 
 
 3020 
 
 3148 
 
 3277 
 
 3405 
 
 3533 
 
 3662 
 
 3790 
 
 3919 
 
 4047 
 
 4175 
 
 
 
 84 
 
 4304 
 
 4432 
 
 4560 
 
 4689 
 
 4817 
 
 4945 
 
 5074 
 
 5202 
 
 5330 
 
 5458 
 
 
 
 85 
 
 5587 
 
 5715 
 
 5843 
 
 5972 
 
 6100 
 
 6228 
 
 6356 
 
 6485 
 
 6613 
 
 6741 
 
 
 
 86 
 
 6870 
 
 6998 
 
 7126 
 
 7254 
 
 7383 
 
 7511 
 
 7639 
 
 7767 
 
 7896 
 
 8024 
 
 
 
 87 
 
 8152 
 
 8280 
 
 8408 
 
 8537 
 
 8665 
 
 8793 
 
 8921 
 
 9049 
 
 9178 
 
 9306 
 
 
 
 88 
 
 9434 
 
 9562 
 
 9690 
 
 9819 
 
 9947 
 
 0075 
 
 0203 
 
 0331 
 
 0459 
 
 0588 
 
 
 
 89 
 
 5300716 
 
 084M< 
 
 0972, 
 
 .1100 
 
 1228 
 
 1356 
 
 1485 
 
 1613 
 
 1741 
 
 1869 
 
 
 
 3390 
 
 1997 
 
 2125 
 
 2253 
 
 2381 
 
 2509 
 
 2637 
 
 2766 
 
 2894 
 
 3022 
 
 3150 
 
 
 
 91 
 
 3278 
 
 3406 
 
 3534 
 
 3662 
 
 3790 
 
 3918 
 
 4046 
 
 4174 
 
 4302 
 
 4430 
 
 
 
 92 
 
 4558 
 
 4686 
 
 4814 
 
 4943 
 
 5071 
 
 5199 
 
 5327 
 
 5455 
 
 5583 
 
 5711 
 
 128 
 
 128 
 
 93 
 
 5839 
 
 5967 
 
 6095 
 
 6223 
 
 6351 
 
 6479 
 
 ^607 
 
 6734 
 
 6862 
 
 6990 
 
 
 1 13 
 
 94 
 
 7118 
 
 7246 
 
 7374 
 
 7502 
 
 7630 
 
 7758 
 
 7886 
 
 8014 
 
 8142 
 
 8270 
 
 
 2 26 
 
 3 qa 
 
 95 
 
 8398 
 
 8526 
 
 8654 
 
 8782 
 
 8909 
 
 9037 
 
 9165 
 
 9293 
 
 9421 
 
 9549 
 
 
 4 51 
 
 96 
 
 9677 
 
 9805 
 
 9933 
 
 0060 
 
 0188 
 
 0316 
 
 0444 
 
 0572 
 
 0700 
 
 0828 
 
 
 5 64 
 
 97 
 
 5310955 
 
 1083 
 
 1211 
 
 1339 
 
 1467 
 
 1595 
 
 1722 
 
 1850 
 
 1978 
 
 2106 
 
 
 6 77 
 
 7 90 
 
 8 102 
 
 98 
 
 2234 
 
 2362 
 
 2489 
 
 2617 
 
 2745 
 
 2873 
 
 3001 
 
 3128 
 
 3256 
 
 3384 
 
 
 99 
 
 N. 
 
 3512 
 
 3639 
 1 
 
 3767 
 2 
 
 3S95 
 3 
 
 4023 
 
 4 
 
 4150 
 
 5 
 
 4278 
 
 6 
 
 4406 
 
 7 
 
 4534 
 8 
 
 4661 
 
 9 
 
 D 
 
 9 115 
 
 Pts. 
 
 
 
(54) 
 
 LOGARITHMS N. 34000 L.5Sl\ 
 
 N. 
 
 3400 
 
 
 
 1 
 
 4917 
 
 5045 
 
 3 
 
 4 
 
 5300 
 
 5 
 
 5428 
 
 6 
 
 5556 
 
 7 
 
 5683 
 
 8 
 
 5811 
 
 9 
 
 5939 
 
 D 
 
 Pro. 
 
 5314789 
 
 5172 
 
 01 
 
 6066 
 
 6194 
 
 6322 
 
 6449 
 
 6577 
 
 6705 
 
 6832 
 
 6960 
 
 7088 
 
 7215 
 
 
 128 
 
 02 
 
 7343 
 
 7471 
 
 7598 
 
 7726 
 
 7854 
 
 7981 
 
 8109 8237 
 
 8364 
 
 8492 
 
 
 I 13 
 
 03 
 
 8619 
 
 8747 
 
 8875 
 
 9002 
 
 9130 
 
 9258 
 
 9385 9513 
 
 9640 
 
 9768 
 
 
 2 26 
 
 01- 
 
 9896 
 
 5023 
 
 0151 
 
 0278 
 
 0406 
 
 0533 
 
 0661 
 
 0789 
 
 0916 
 
 1044 
 
 
 3 38 
 
 4 51 
 
 05 
 
 5321171 
 
 1299 
 
 1426 
 
 1554 
 
 1681 
 
 1809 
 
 1936 
 
 2064 
 
 2191 
 
 2319 
 
 
 5 64 
 
 06 
 
 2446 
 
 2574 
 
 2701 
 
 2829 
 
 2956 
 
 3084 
 
 3211 
 
 3339 
 
 3466 
 
 3594 
 
 
 G n 
 
 07 
 
 3721 
 
 3849 
 
 3976 
 
 4104 
 
 4231 
 
 4359 
 
 4486 
 
 4614 
 
 4741 
 
 4868 
 
 
 7 90 
 
 8 102 
 
 9 115 
 
 08 
 
 4996- 
 
 5123 
 
 5251 
 
 5378 
 
 5506 
 
 5633 
 
 5760 
 
 5888 
 
 6015 
 
 6143 
 
 
 09 
 
 6270 
 
 6397 
 
 6525 
 
 6652 
 
 6780 
 
 6907 
 
 7034 
 
 7162 
 
 7289 
 
 7416 
 
 
 
 3410 
 
 7544 
 
 7671 
 
 7799 
 
 7926 
 
 8053 
 
 8181 
 
 8308 
 
 8435 
 
 8563 
 
 8690 
 
 
 
 11 
 
 8817 
 
 8945 
 
 9072 
 
 9199 
 
 9326 
 
 9454 
 
 9581 
 
 9708 
 
 9836 
 
 9^63 
 
 
 
 12 
 
 5330090 
 
 0218 
 
 0345 
 
 0472 
 
 0599 
 
 0727 
 
 0854 
 
 0981 
 
 1108 
 
 1236 
 
 
 
 13 
 
 1363 
 
 1490 
 
 1617 
 
 1745 
 
 1872 
 
 1999 
 
 2126 
 
 2254 
 
 2381 
 
 2508 
 
 
 
 14 
 
 2635 
 
 2762 
 
 2890 
 
 3017 
 
 3144 
 
 3271 
 
 3398 
 
 3526 
 
 3653 
 
 3780 
 
 
 
 15 
 
 3907 
 
 4034 
 
 4161 
 
 4289 
 
 4416 
 
 4543 
 
 4670 
 
 4797 
 
 4924 
 
 5051 
 
 
 
 16 
 
 5179 
 
 5306 
 
 5433 
 
 5560 
 
 5687 
 
 5814 
 
 5941 
 
 6068 
 
 6196 
 
 6323 
 
 
 
 17 
 
 6450 
 
 6577 
 
 6704 
 
 6831 
 
 6958 
 
 7085 
 
 7212 
 
 7339 
 
 7466 
 
 7594 
 
 
 
 18 
 
 7721 
 
 7848 
 
 7975 
 
 8102 
 
 8229 
 
 8356 
 
 8483 
 
 8610 
 
 8737 
 
 8864 
 
 
 
 19 
 
 8991 
 
 9118 
 
 9245 
 
 9372 
 
 9499 
 
 9626 
 
 9753 
 
 9880 
 
 0007 
 
 0134 
 
 127 
 
 
 3420 
 
 5340261 
 
 0388 
 
 0515 
 
 0642 
 
 0769 
 
 0896 
 
 1023 
 
 1150 
 
 1277 
 
 1404 
 
 
 21 
 
 1531 
 
 1658 
 
 1785 
 
 1912 
 
 2039 
 
 2165 
 
 2292 
 
 2419 
 
 2546 
 
 2673 
 
 
 127 
 
 1 13 
 
 2 25 
 
 22 
 
 2800 
 
 2927 
 
 3054 
 
 3181 
 
 3308 
 
 3435 
 
 3561 
 
 3688 
 
 3815 
 
 3942 
 
 
 23 
 
 4069 
 
 4196 
 
 4323 
 
 4450 
 
 4576 
 
 4703 
 
 4830 
 
 4957 
 
 5084 
 
 5211 
 
 
 24 
 
 53-38 
 
 5464^ 
 
 5591 
 
 5718 
 
 5845 
 
 5972 
 
 6099 
 
 6225 
 
 6352 
 
 6479 
 
 
 3 38 
 
 25 
 
 6606 
 
 6733' 
 
 6859 
 
 6986 
 
 7113 
 
 7240 
 
 7366 
 
 7493 
 
 7620 
 
 7747 
 
 
 4 51 
 
 5 64 
 
 6 7Q 
 
 26 
 
 7874 
 
 8000 
 
 8127 
 
 8254 
 
 8381 
 
 8507 
 
 8634 
 
 8761 
 
 8888 
 
 9014 
 
 
 27 
 
 9141 
 
 9268 
 
 9394 
 
 9521 
 
 9648 
 
 9775 
 
 9901 
 
 0028 
 
 0155 
 
 0281 
 
 
 7 89 
 
 28 
 
 5350408 
 
 0535 
 
 0662 
 
 0788 
 
 0915 
 
 1042 
 
 1168 
 
 1295 
 
 1422 
 
 1548 
 
 
 8 102 
 
 29 
 
 1675 
 
 1802 
 
 1928 
 
 2055 
 
 2181 
 
 2308 
 
 2435 
 
 2561 
 
 2688 
 
 2815 
 
 
 9 114 
 
 3430 
 
 2941 
 
 3068 
 
 3194 
 
 3321 
 
 3448 
 
 3574 
 
 3701 
 
 3827 
 
 3954 
 
 4081 
 
 
 
 31 
 
 4207 
 
 4334 
 
 4460 
 
 4587 
 
 4713 
 
 4840 
 
 4967 
 
 5093 
 
 5220 
 
 5346 
 
 
 
 32 
 
 5473 
 
 5599 
 
 5726 
 
 5852 
 
 5979 
 
 6105 
 
 6232 
 
 6359 
 
 6485 
 
 6612 
 
 
 
 S3 
 
 6738 
 
 6865 
 
 6991 
 
 7118 
 
 7244 
 
 7371 
 
 7497 
 
 7623 
 
 7750 
 
 7876 
 
 
 
 34 
 
 8003 
 
 8129 
 
 8256 
 
 8382 
 
 8509 
 
 8635 
 
 8762 
 
 8888 
 
 9015 
 
 9141 
 
 
 
 35 
 
 9267 
 
 9394 
 
 9520 
 
 9647 
 
 9773 
 
 9900 
 
 0026 
 
 0152 
 
 0279 
 
 0405 
 
 
 
 36 
 
 5360532 
 
 0658 
 
 0784 
 
 0911 
 
 1037 
 
 1163 
 
 1290 
 
 1416 
 
 1543 
 
 1669 
 
 
 
 37 
 
 1795 
 
 1922 
 
 2048 
 
 2174 
 
 2301 
 
 2427 
 
 2553 
 
 2680 
 
 2806 
 
 2932 
 
 
 
 38 
 
 3059 
 
 3185 
 
 3311 
 
 3438 
 
 3564 
 
 3690 
 
 3817 
 
 3943 
 
 4069 
 
 4195 
 
 
 
 39 
 
 4322 
 
 4448 
 
 4574 
 
 4701 
 
 4827 
 
 4953 
 
 5079 
 
 5206 
 
 5332 
 
 5458 
 
 
 
 3440 
 
 5584 
 
 5711 
 
 5837 
 
 5963 
 
 6089 
 
 6216 
 
 6342 
 
 6468 
 
 6594 
 
 6721 
 
 
 
 41 
 
 6847 
 
 6973 
 
 7099 
 
 7225 
 
 7352 
 
 7478 
 
 7604 
 
 7730 
 
 7856 
 
 7982 
 
 
 
 42 
 
 8109 
 
 8235 
 
 8361 
 
 8487 
 
 8613 
 
 8739 
 
 8866 
 
 8992 
 
 9118 
 
 9244 
 
 
 126 
 
 43 
 
 9370 
 
 9496 
 
 9622 
 
 9749 
 
 9875 
 
 0001 
 
 0127 
 
 0253 
 
 0379 
 
 0505 
 
 
 I 13 
 
 44 
 
 5370631 
 
 0758 
 
 0884 
 
 1010 
 
 1136 
 
 1262 
 
 1388 
 
 1514 
 
 1640 
 
 1766 
 
 
 2 25 
 
 3 38 
 
 45 
 
 1892 
 
 2018 
 
 2144 
 
 2270 
 
 2396 
 
 2523 
 
 2649 
 
 2775 
 
 2901 
 
 3027 
 
 
 4 50 
 
 46 
 
 3153 
 
 3279 
 
 3405 
 
 3531 
 
 3657 
 
 3783 
 
 3909 
 
 4035 
 
 4161 
 
 4287 
 
 126 
 
 5 63 
 
 47 
 
 4413 
 
 4539 
 
 4665 
 
 4791 
 
 4917 
 
 5043 
 
 5169 
 
 5295 
 
 5421 
 
 5547 
 
 6 7Q 
 
 7 88 
 
 8 101 
 
 48 
 
 5673 
 
 5799 
 
 5924 
 
 6050 
 
 6176 
 
 6302 
 
 6428 
 
 6554 
 
 6680 
 
 6806 
 
 
 49 
 
 N. 
 
 6932 
 
 7058 
 1 
 
 7184 
 
 7310 
 3 
 
 7436 
 
 4 
 
 7561 
 
 7687 
 
 6 
 
 7813 
 
 7~ 
 
 7939 
 
 8 
 
 8065 
 
 9 
 
 D 
 
 9113 
 
 Pts. 
 
 
 
 2 
 
iV. 34500 L. 537 of numbers. (55)| 
 
 N. 
 
 3450 
 
 
 
 1 
 
 8317 
 
 2 
 
 3 
 
 8569 
 
 4 
 
 8694 
 
 5 
 
 8820 
 
 6 
 
 8946 
 
 7 
 
 9072 
 
 8 
 
 9198 
 
 9 1 
 
 9324 
 
 D 
 
 Pro. 
 
 5378191 
 
 8443 
 
 51 
 
 9450 
 
 9575 
 
 Q701 
 
 9827 
 
 9953 
 
 0079 
 
 0205 
 
 0330 
 
 0456 
 
 0582 
 
 
 126 
 
 52 
 
 5380708 
 
 0834 
 
 0959 
 
 1085 
 
 1211 
 
 1337 
 
 1463 
 
 1588 
 
 1714 
 
 1840 
 
 
 1 13 
 
 2 25 
 } 38 
 
 53 
 
 1966 
 
 2092 
 
 2217 
 
 2343 
 
 2469 
 
 2595 
 
 2720 
 
 2846 
 
 2972 
 
 3098 
 
 
 54. 
 
 3223 
 
 3349 
 
 3475 
 
 3601 
 
 3726 
 
 3852 
 
 3978 
 
 4103 
 
 4229 
 
 4355 
 
 i 
 
 1 50 
 
 55 
 
 4481 
 
 4606 
 
 4732 
 
 4858 
 
 4983 
 
 5109 
 
 5235 
 
 5360 
 
 5486 
 
 5612 
 
 
 J 63 
 5 76 
 
 7 PP 
 
 56 
 
 5737 
 
 5863 
 
 5989 
 
 6114 
 
 6240 
 
 6366 
 
 6491 
 
 6617 
 
 6743 
 
 6868 
 
 
 57 
 
 . 6994 
 
 7119 
 
 7245 
 
 7371 
 
 7496 
 
 7622 
 
 7747 
 
 7873 
 
 7999 
 
 8124 
 
 i 
 
 UOl 
 
 58 
 
 8250 
 
 8375 
 
 8501 
 
 8627 
 
 8752 
 
 8878 
 
 9003 
 
 9129 
 
 9255 
 
 9380 
 
 I 
 
 H13 
 
 59 
 
 9506 
 
 9631 
 
 9757 
 
 9882 
 
 0008 
 
 0133 
 
 0259 
 
 0384 
 
 0510 
 
 0635 
 
 ■ 
 
 
 3460 
 
 5390761 
 
 0887 
 
 1012 
 
 1138 
 
 1263 
 
 1389 
 
 1514 
 
 1640 
 
 1765 
 
 1891 
 
 
 
 61 
 
 2016 
 
 2141 
 
 2267 
 
 2392 
 
 2518 
 
 2643 
 
 2769 
 
 2894 
 
 3020 
 
 3145 
 
 
 
 62 
 
 3271 
 
 3396 
 
 3522 
 
 3647 
 
 3772 
 
 3898 
 
 4023 
 
 4149 
 
 4274 
 
 4400 
 
 
 
 63 
 
 4525 
 
 4650 
 
 4776 
 
 4901 
 
 5027 
 
 5152 
 
 5277 
 
 5403 
 
 5528 
 
 5653 
 
 
 
 64 
 
 5779 
 
 5904 
 
 6030 
 
 6155 
 
 6280 
 
 6406 
 
 6531 
 
 6656 
 
 6782 
 
 6907 
 
 
 
 65 
 
 7032 
 
 7158 
 
 7283 
 
 7408 
 
 7534 
 
 7659 
 
 7784 
 
 7910 
 
 8035 
 
 8160 
 
 
 
 66 
 
 8286 
 
 8411 
 
 8536 
 
 8661 
 
 8787 
 
 8912 
 
 9037 
 
 9163 
 
 9288 
 
 9413 
 
 
 
 67 
 
 9538 
 
 9664 
 
 9789 
 
 9914 
 
 0039 
 
 0165 
 
 0290 
 
 0415 
 
 0540 
 
 0666 
 
 
 
 68 
 
 5400791 
 
 0916 
 
 1041 
 
 1167 
 
 1292 
 
 1417 
 
 1542 
 
 1667 
 
 1793 
 
 1918 
 
 
 
 69 
 
 2043 
 
 2168 
 
 2293 
 
 2419 
 
 2544 
 
 2669 
 
 2794 
 
 2919 
 
 3044 
 
 3170 
 
 
 
 3470 
 
 329^ 
 
 3420 
 
 3545 
 
 3670 
 
 3795 
 
 3920 
 
 4046 
 
 4171 
 
 4296 
 
 4421 
 
 
 
 71 
 
 4546 
 
 4671 
 
 4796 
 
 4921 
 
 5047 
 
 5172 
 
 5297 
 
 5422 
 
 5547 
 
 5672 
 
 
 125 
 1 13 
 
 72 
 
 5797 
 
 5922 
 
 6047 
 
 6172 
 
 6297 
 
 6423 
 
 6548 
 
 6673 
 
 6798 
 
 6923 
 
 
 73 
 
 7048 
 
 7173 
 
 7298 
 
 7423 
 
 7548 
 
 7673 
 
 7798 
 
 7923 
 
 8048 
 
 8173 
 
 125 
 
 2 25 
 
 74 
 
 8298 
 
 8423 
 
 8548 
 
 8673 
 
 8798 
 
 8923 
 
 9048 
 
 9173 
 
 9298 
 
 9423 
 
 3 38 
 
 75 
 
 9548 
 
 9673 
 
 9798 
 
 9923 
 
 0048 
 
 0173 
 
 0298 
 
 0423 
 
 0548 
 
 0673 
 
 
 4 50 
 
 5 63 
 
 76 
 
 5410798 
 
 0923 
 
 1048 
 
 1172 
 
 1-297 
 
 1422 
 
 1547 
 
 1672 
 
 1797 
 
 1922 
 
 
 6 75 
 
 77 
 
 2047 
 
 2172 
 
 2297 
 
 2422 
 
 2546 
 
 2671 
 
 2796 
 
 2921 
 
 3046 
 
 3171 
 
 
 7 88 
 
 78 
 
 3296 
 
 3421 
 
 3546 
 
 3670 
 
 3795 
 
 3920 
 
 4045 
 
 4170 
 
 4295 
 
 4419 
 
 
 P 100 
 
 79 
 
 4544 
 
 4669 
 
 4794 
 
 4919 
 
 5044 
 
 5168 
 
 5293 
 
 5418 
 
 5543 
 
 5668 
 
 
 9 113 
 
 3480 
 
 5792 
 
 5917 
 
 6042 
 
 6167 
 
 6292 
 
 6416 
 
 6541 
 
 6666 
 
 6791 
 
 6915 
 
 
 
 81 
 
 7040 
 
 7165 
 
 7290 
 
 7415 
 
 7539 
 
 7664 
 
 7789 
 
 7913 
 
 8038 
 
 8163 
 
 
 
 82 
 
 8288 
 
 8412 
 
 8537 
 
 8662 
 
 8787 
 
 8911 
 
 9036 
 
 9161 
 
 9285 
 
 9410 
 
 
 
 83 
 
 9535 
 
 9659 
 
 9784 
 
 9909 
 
 0033 
 
 0158 
 
 0283 
 
 0407 
 
 0532 
 
 0657 
 
 
 
 84 
 
 5420781 
 
 0906 
 
 1031 
 
 1155 
 
 1280 
 
 1405 
 
 1529 
 
 1654 
 
 1779 
 
 1903 
 
 
 
 85 
 
 2028 
 
 2152 
 
 2277 
 
 2402 
 
 2526 
 
 2651 
 
 2775 
 
 2900 
 
 3025 
 
 3149 
 
 
 
 86 
 
 3274 
 
 3398 
 
 3523 
 
 3648 
 
 3772 
 
 3897 
 
 4021 
 
 4146 
 
 4270 
 
 4395 
 
 
 
 87 
 
 4519 
 
 4644 
 
 4769 
 
 4893 
 
 5018 
 
 5142 
 
 5267 
 
 5391 
 
 5516 
 
 5640 
 
 
 
 88 
 
 5765 
 
 5889 
 
 6014 
 
 6138 
 
 6263 
 
 6387 
 
 651,2 
 
 6636 
 
 6761 
 
 6885 
 
 
 
 89 
 
 7010 
 
 7134 
 
 7259 
 
 7383 
 
 7508 
 
 7632 
 
 7756 
 
 7881 
 
 8005 
 
 8130 
 
 
 
 3490 
 
 8254 
 
 8379 
 
 8503 
 
 8628 
 
 8752 
 
 8876 
 
 9001 
 
 9125 
 
 9250 
 
 9374 
 
 
 
 91 
 
 9498 
 
 9623 
 
 9747 
 
 9872 
 
 9996 
 
 0120 
 
 0245 
 
 0369 
 
 0494 
 
 0618 
 
 
 
 92 
 
 5430742 
 
 0867 
 
 0991 
 
 1115 
 
 1240 
 
 1364 
 
 1488 
 
 1613 
 
 1737 
 
 1862 
 
 
 124 
 
 93 
 
 1986 
 
 2110 
 
 2235 
 
 2359 
 
 2483 
 
 2607 
 
 2732 
 
 2856 
 
 2980 
 
 3105 
 
 
 1 12 
 
 94 
 
 3229 
 
 3353 
 
 3478 
 
 3602 
 
 3726 
 
 3850 
 
 3975 
 
 4099 
 
 4223 
 
 4348 
 
 
 2 25 
 
 3 37 
 
 95 
 
 4472 
 
 4596 
 
 4720 
 
 4845 
 
 4969 
 
 5093 
 
 5217 
 
 5342 
 
 5466 
 
 5590 
 
 
 4 50 
 
 96 
 
 5714 
 
 5838 
 
 5963 
 
 6087 
 
 6211 
 
 6335 
 
 6460 
 
 6584 
 
 6708 
 
 6832 
 
 
 5 62 
 
 97 
 
 6956 
 
 7081 
 
 7205 
 
 7329 
 
 7453 
 
 7577 
 
 7701 
 
 7826 
 
 7950 
 
 8074 
 
 
 6 74 
 
 7 87 
 
 8 99 
 
 98 
 
 8198 
 
 8322 
 
 8446 
 
 8571 
 
 8695 
 
 8819 
 
 8943 
 
 9067 
 
 9191 
 
 9315 
 
 
 99 
 
 N. 
 
 9439 
 
 9564 
 1 
 
 9688 
 2 
 
 9812 
 
 3 
 
 9936 
 
 4 
 
 0060 
 
 5 
 
 0184 
 
 6 
 
 0308 
 
 7 
 
 0432 
 8 , 
 
 0556 
 .9 
 
 D 
 
 9112 
 
 Pts. 
 
 
 
(56] 
 
 LOGARITHMS N. 35000 L. 544 
 
 N. 
 
 3500 
 
 
 
 1 
 
 0805 
 
 2 
 
 3 
 
 1053 
 
 4 
 
 1177 
 
 5 
 
 1301 
 
 6 
 
 I ¥25 
 
 7 
 
 1549 
 
 8 
 
 9 
 
 1797 
 
 D 
 
 Pro. 
 
 5440680 
 
 0929 
 
 1673 
 
 01 
 
 1921 
 
 2045 
 
 2169 
 
 2293 
 
 2417 
 
 2541 
 
 2665 
 
 27S9 
 
 2913 
 
 3037 
 
 
 124 
 
 02 
 
 3161 
 
 3285 
 
 3409 
 
 3533 
 
 3657 
 
 3781 
 
 3905 
 
 4029 
 
 4153 
 
 4277 
 
 
 1 12 
 
 03 
 
 4401 
 
 4525 
 
 4649 
 
 4773 
 
 4897 
 
 5021 
 
 5145 
 
 5269 
 
 5393 
 
 5517 
 
 124 
 
 2 25 
 
 04 
 
 5641 
 
 5765 
 
 5889 
 
 6013 
 
 6137 
 
 6261 
 
 6385 
 
 6508 
 
 6632 
 
 6756 
 
 
 3 37 
 
 4 50 
 
 05 
 
 6880 
 
 7004 
 
 7128 
 
 7252 
 
 7376 
 
 7500 
 
 7624 
 
 7747 
 
 7871 
 
 7995 
 
 
 5 62 
 
 06 
 
 8119 
 
 8243 
 
 8367 
 
 8491 
 
 8615 
 
 8738 
 
 8862 
 
 8986 
 
 9110 
 
 9234 
 
 
 6 74 
 
 7 87 
 
 8 99 
 
 9 112 
 
 07 
 
 9358 
 
 9481 
 
 9605 
 
 9729 
 
 9853 
 
 9977 
 
 0101 
 
 0224 
 
 0348 
 
 0472 
 
 
 08 
 
 5450596 
 
 0720 
 
 0843 
 
 0967 
 
 1091 
 
 1215 
 
 1339 
 
 1462 
 
 1586 
 
 1710 
 
 
 09 
 
 1834 
 
 1957 
 
 2081 
 
 2205 
 
 2329 
 
 2452 
 
 2576 
 
 2700 
 
 2824 
 
 2947 
 
 
 
 3510 
 
 3071 
 
 3195 
 
 3319 
 
 3442 
 
 3566 
 
 3690 
 
 3813 
 
 3937 
 
 4061 
 
 4185 
 
 
 
 U 
 
 4308 
 
 4432 
 
 4556 
 
 4679 
 
 4803 
 
 4927 
 
 5050 
 
 5174 
 
 5298 
 
 5421 
 
 
 
 12 
 
 5545 
 
 5669 
 
 5792 
 
 5916 
 
 6040 
 
 6163 
 
 6287 
 
 6411 
 
 6534 
 
 6658 
 
 
 
 13 
 
 6781 
 
 6905 
 
 7029 
 
 7152 
 
 7276 
 
 7400 
 
 7523 
 
 7647 
 
 7770 
 
 7894 
 
 
 
 14 
 
 8018 
 
 8141 
 
 8265 
 
 8388 
 
 8512 
 
 8635 
 
 8759 
 
 8883 
 
 9006 
 
 9130 
 
 
 
 15 
 
 9253 
 
 9377 
 
 9500 
 
 9624 
 
 9747 
 
 9871 
 
 9995 
 
 0118 
 
 0242 
 
 0365 
 
 
 
 16 
 
 5460489 
 
 0612 
 
 0736 
 
 0859 
 
 0983 
 
 il06 
 
 1230 
 
 1353 
 
 1477 
 
 1600 
 
 
 
 17 
 
 1724 
 
 1847 
 
 1971 
 
 2094 
 
 2218 
 
 234! 
 
 2465 
 
 2588 
 
 2711 
 
 2835 
 
 
 
 18 
 
 2958 
 
 3082 
 
 3205 
 
 3329 
 
 3452 
 
 3576 
 
 3699 
 
 3822 
 
 3946 
 
 4069 
 
 
 
 19 
 
 4193 
 
 4316 
 
 4439 
 
 4563 
 
 4686 
 
 4810 
 
 4933 
 
 5056 
 
 5180 
 
 5303 
 
 
 
 3520 
 
 5427 
 
 5550 
 
 5673 
 
 5797 
 
 5920 
 
 6043 
 
 6167 
 
 6290 
 
 6414 
 
 6537 
 
 
 
 2] 
 
 6660 
 
 6784 
 
 6907 
 
 7030 
 
 7154 
 
 7277 
 
 7400 
 
 7524 
 
 7647 
 
 7770 
 
 
 123 
 
 22 
 
 7894 
 
 8017 
 
 8140 
 
 8263 
 
 8387 
 
 8510 
 
 8633 
 
 8757 
 
 8880 
 
 9003 
 
 
 If 12 
 
 23 
 
 9126 
 
 92.50 
 
 9373 
 
 9496 
 
 9620 
 
 9743 
 
 9866 
 
 9989 
 
 0113 
 
 0236 
 
 
 2 25 
 
 24 
 
 5470359 
 
 0482 
 
 0605 
 
 0729 
 
 0852 
 
 0975 
 
 1098 
 
 1222 
 
 1345 
 
 1468 
 
 
 3 37 
 
 4 49 
 
 25 
 
 1591 
 
 1714 
 
 1838 
 
 1961 
 
 -2084 
 
 2207 
 
 2330 
 
 2454 
 
 2577 
 
 2700 
 
 
 5 62 
 
 26 
 
 2823 
 
 2946 
 
 3069 
 
 3193 
 
 3316 
 
 3439 
 
 3562 
 
 3685 
 
 3808 
 
 3931 
 
 
 6 74 
 
 27 
 
 4055 
 
 4178 
 
 4301 
 
 4424 
 
 4547 
 
 4670 
 
 4793 
 
 4916 
 
 5040 
 
 5163 
 
 
 7 86 
 
 8 98 
 
 9 111 
 
 28 
 
 5286 
 
 5409 
 
 5532 
 
 5Q55 
 
 5778 
 
 5901 
 
 6024 
 
 6147 
 
 6270 
 
 6394 
 
 
 29 
 
 6517 
 
 6640 
 
 6763 
 
 6886 
 
 7009 
 
 7132 
 
 7255 
 
 7378 
 
 7501. 
 
 7624 
 
 
 
 3530 
 
 ■. 7747 
 
 7870 
 
 7993 
 
 8116 
 
 8239 
 
 8362 
 
 8485 
 
 8608 
 
 8731 
 
 8854 
 
 123 
 
 
 31 
 
 8977 
 
 9100 
 
 9223 
 
 9346 
 
 9469 
 
 9592 
 
 9715 
 
 9838 
 
 9961 
 
 0084 
 
 
 32 
 
 5480207 
 
 0330 
 
 0453 
 
 0576 
 
 0699 
 
 0822 
 
 0945 
 
 1068 
 
 1191 
 
 1313 
 
 
 
 33 
 
 1436 
 
 1559 
 
 1682 
 
 1805 
 
 1928 
 
 2051 
 
 2174 
 
 2297 
 
 2420 
 
 2543 
 
 
 
 34 
 
 2665 
 
 2788 
 
 2911 
 
 3034 
 
 3157 
 
 3280 
 
 3403 
 
 3526 
 
 3648 
 
 3771 
 
 
 
 35 
 
 3894 
 
 4017 
 
 4140 
 
 4263 
 
 4386 
 
 4508 
 
 4631 
 
 4754 
 
 4877 
 
 5000 
 
 
 
 36 
 
 5123 
 
 5245 
 
 5368 
 
 5491 
 
 5614 
 
 5737 
 
 5859 
 
 5982 
 
 6105 
 
 6228 
 
 
 
 37 
 
 6351 
 
 6473 
 
 6596 
 
 6719 
 
 6842 
 
 6964 
 
 7087 
 
 7210 
 
 7333 
 
 7456 
 
 
 
 38 
 
 7578 
 
 7701 
 
 7824 
 
 7947 
 
 8069 
 
 8192 
 
 8315 
 
 8437 
 
 8560 
 
 8683 
 
 
 
 39 
 
 8806 
 
 8928 
 
 9051 
 
 9174 
 
 9296 
 
 9419 
 
 9542 
 
 9665 
 
 9787 
 
 9910 
 
 
 
 3540 
 
 5490033 
 
 0155 
 
 0278 
 
 0101 
 
 0523 
 
 0646 
 
 0769 
 
 0891 
 
 1014 
 
 1137 
 
 
 
 41 
 
 1259 
 
 1382 
 
 1505 
 
 1627 
 
 1750 
 
 1872 
 
 1995 
 
 2118 
 
 2240 
 
 2363 
 
 
 
 42 
 
 2486 
 
 2608 
 
 2731 
 
 2853 
 
 2976 
 
 3099 
 
 3221 
 
 3344 
 
 3466 
 
 3589 
 
 
 122 
 
 43 
 
 3712 
 
 3834 
 
 3957 
 
 4079 
 
 4202 
 
 4324 
 
 4447 
 
 4569 
 
 4692 
 
 4815 
 
 
 I 12 
 
 44 
 
 4937 
 
 5060 
 
 5182 
 
 5305 
 
 5427 
 
 5550 
 
 5672 
 
 5795 
 
 5917 
 
 6040 
 
 
 2 24 
 
 3 37 
 
 45' 
 
 6162 
 
 6285 
 
 6407 
 
 6530 
 
 6652 
 
 6775 
 
 6897 
 
 7020 
 
 7142 
 
 7265 
 
 
 4 49 
 
 46 
 
 7387 
 
 7510 
 
 7632 
 
 7755 
 
 7877 
 
 8000 
 
 8122 
 
 8245 
 
 8307 
 
 8489 
 
 
 6 61 
 
 47 
 
 8612 
 
 8734 
 
 8857 
 
 8979 
 
 9102 
 
 9224 
 
 9346 
 
 9469 
 
 9591 
 
 9714 
 
 
 6 73 
 
 7 85 
 
 48 
 
 9836 
 
 9959 
 
 0081 
 
 0203 
 
 0326 
 
 0448 
 
 0570 
 
 0693 
 
 0815 
 
 0938 
 
 
 8 98 
 
 49 
 
 N. 
 
 5501060 
 
 1182 
 1 
 
 1305 
 2 
 
 1427 
 
 3 
 
 1549 
 4 
 
 1672 
 5 
 
 1794 
 
 6 
 
 1917 
 
 7 
 
 2039 
 8 
 
 2161 
 
 9 
 
 D 
 
 9 110 
 
 Pts. 
 
 
 
N. 35500 L.. 5.50 OF numbers. (57)\ 
 
 N. 
 
 3350 
 
 
 
 1 
 
 240() 
 
 2 
 2528 
 
 3 
 
 4 1 
 
 5 
 
 2895 
 
 6 
 
 3017 
 
 7 
 
 3140 
 
 8 
 
 3262 
 
 9 
 
 3384 
 
 D 
 
 Pro. 
 
 5502284 
 
 2651 2773 
 
 51 
 
 3507 
 
 3629 
 
 3751 
 
 3874 3996 
 
 4118 
 
 4240 
 
 4363 
 
 4485 
 
 4607 
 
 
 122 
 
 52 
 
 4730 
 
 4852 
 
 4974 
 
 5096 
 
 5219 
 
 5341 
 
 5463 
 
 5585 
 
 5708 
 
 5830 
 
 
 1 12 
 
 53 
 
 5952 
 
 6074 
 
 6197 
 
 6319 
 
 6441 
 
 Q5Q^ 
 
 6685 
 
 6808 
 
 6930 
 
 7052 
 
 
 2 24 
 
 3 37 
 
 4 49 
 
 54 
 
 7174 
 
 7296 
 
 7419 
 
 7541 
 
 7663 
 
 7785 
 
 7907 
 
 8030 
 
 8152 
 
 8274 
 
 
 55 
 
 8.096 
 
 8518 
 
 8640 
 
 8763 
 
 8885 
 
 9007. 
 
 9129 
 
 9251 
 
 9373 
 
 9495 
 
 
 5 6V 
 
 56 
 
 9618 
 
 9740 
 
 9862 
 
 9984 
 
 0106 
 
 0228 
 
 0350 
 
 0472 
 
 0594 
 
 0717 
 
 
 6 73 
 
 7 85 
 
 8 98 
 
 51 
 
 5510839 
 
 0961 
 
 1083 
 
 1205 
 
 1327 
 
 1449 
 
 1571 
 
 1693 
 
 1815 
 
 1937 
 
 
 58 
 
 2059 
 
 2181 
 
 2304 
 
 2426 
 
 2548 
 
 2670 
 
 2792 
 
 2914 
 
 3036 
 
 3158 
 
 122 
 
 9 110 
 
 59 
 
 3280 
 
 3402 
 
 3524 
 
 3646 
 
 3768 
 
 3890 
 
 4012 
 
 4134 
 
 4256 
 
 4378 
 
 
 3560 
 
 4500 
 
 4622 
 
 4744 
 
 4866 
 
 4988 
 
 5110 
 
 5232 
 
 5354 
 
 5476 
 
 5598 
 
 
 
 61 
 
 5720 
 
 5842 
 
 5964 
 
 6086 
 
 6208 
 
 6329 
 
 6451 
 
 6573 
 
 6695 
 
 6817 
 
 
 
 m 
 
 6939 
 
 7061 
 
 7183 
 
 7305 
 
 7427 
 
 7549 
 
 7671 
 
 7793 
 
 7914 8036 
 
 
 
 63 
 
 8158 
 
 8:^80 
 
 8402 
 
 8524 
 
 8646 
 
 8768 
 
 8890 
 
 9011 
 
 9133 9255 
 
 
 
 64 
 
 9377 
 
 9499 
 
 9621 
 
 9743 
 
 9864 
 
 9986 
 
 0108 
 
 0230 
 
 0352 
 
 0474 
 
 
 
 Q5 
 
 55'105^5 
 
 0717 
 
 0839 
 
 0)61 
 
 1083 
 
 1204 
 
 1326 
 
 1448 
 
 1570 
 
 1692 
 
 
 
 66 
 
 1813 
 
 1935 
 
 2057 
 
 2179 
 
 2301 
 
 2422 
 
 2544 
 
 2066 
 
 2788 
 
 2909 
 
 
 
 67 
 
 3031 
 
 3158 
 
 3275 
 
 3396 
 
 3518 
 
 3640 
 
 3762 
 
 3883 
 
 4005 
 
 4127 
 
 
 
 68 
 
 4248 
 
 4370 
 
 4492 
 
 4614 
 
 4735 
 
 4857 
 
 4979 
 
 5100 
 
 5222 
 
 5344 
 
 
 
 69 
 
 5465 
 
 5587 
 
 5709 
 
 5831 
 
 5952 
 
 6074 
 
 6196 
 
 6317 
 
 6439 
 
 6561 
 
 
 
 3570 
 
 6682 
 
 6804 
 
 6925 
 
 7047 
 
 7169 
 
 7290 
 
 7412 
 
 7534 
 
 7655 
 
 7777 
 
 
 
 71 
 
 7390 
 
 8020 
 
 8142 
 
 8263 
 
 8385 
 
 S507 
 
 8628 
 
 8750 
 
 8871 
 
 8993 
 
 
 
 72 
 
 .9115 
 
 9236 
 
 9358 
 
 9479 
 
 9601 
 
 9722 
 
 9844 
 
 9965 
 
 0087 
 
 0209 
 
 
 
 73 
 
 5530330 
 
 0452 
 
 0573 
 
 0695 
 
 0816 
 
 0938 
 
 1059 
 
 1181 
 
 1302 
 
 1424 
 
 
 
 74 
 
 1545 
 
 1667 
 
 1789 
 
 1910 
 
 2032 
 
 2153 
 
 2275 
 
 2396 
 
 2517 
 
 2639 
 
 
 
 75 
 
 2760 
 
 2882 
 
 3003 
 
 3125 
 
 3246 
 
 3368 
 
 3489 
 
 3611 
 
 3732 
 
 3854 
 
 
 
 76 
 
 3975 
 
 4097 
 
 1218 
 
 4339 
 
 4461 
 
 4582 
 
 4704 
 
 4825 
 
 4947 
 
 5068 
 
 
 
 77 
 
 5189 
 
 5311 
 
 5432 
 
 5554 
 
 5675 
 
 5796 
 
 5918 
 
 6039 
 
 6161 
 
 6282 
 
 
 
 78 
 
 6403 
 
 6525 
 
 6646 
 
 6767 
 
 6889 
 
 7010 
 
 7132 
 
 7253 
 
 7374 
 
 7496 
 
 
 
 79 
 
 7617 
 
 7738 
 
 7860 
 
 7981 
 
 8102 
 
 8224 
 
 8345 
 
 8466 
 
 8588 
 
 8709 
 
 
 
 3580 
 
 8830 
 
 8952 
 
 9073 
 
 9194 
 
 9315 
 
 9437 
 
 9558 
 
 9679 
 
 9801 
 
 9922 
 
 
 
 81 
 
 554004*^ 
 
 0164 
 
 0286 
 
 0407 
 
 0528 
 
 0650 
 
 0771 
 
 0892 
 
 1013 
 
 1135 
 
 
 
 82 
 
 1256 
 
 1377 
 
 1498 
 
 1620 
 
 1741 
 
 1862 
 
 1983 
 
 2104 
 
 2226 
 
 2347 
 
 
 
 83 
 
 2468 
 
 2589 
 
 2710 
 
 2832 
 
 2953 
 
 3074 
 
 3195 
 
 3316 
 
 3438 
 
 3559 
 
 
 
 84 
 
 3680 
 
 3801 
 
 3922 
 
 4044 
 
 4165 
 
 4286 
 
 4407 
 
 4528 
 
 4649 
 
 4770 
 
 
 
 85 
 
 4892 
 
 5013 
 
 5134 
 
 5255 
 
 5376 
 
 5497 
 
 5618 
 
 5740 
 
 5861 
 
 5982 
 
 
 
 86 
 
 6103 
 
 6224 
 
 6345 
 
 6466 
 
 6587 
 
 6708 
 
 6829 
 
 (i95t 
 
 7072 
 
 7193 
 
 
 
 87 
 88 
 
 7314 
 8524 
 
 7435 
 8645 
 
 7556 
 
 7677 
 
 7798 
 9008 
 
 7919 
 9130 
 
 8040 
 9251 
 
 8161 
 9372 
 
 8282 
 9493 
 
 8403 
 9614 
 
 121 
 
 
 8766 
 
 8887 
 
 89 
 
 9735 
 
 9856 
 
 9977 
 
 (5098 
 
 0219 
 
 0340 
 
 0461 
 
 0582 
 
 0703 
 
 0824 
 
 
 3590 
 
 5550944 
 
 1065 
 
 1186 
 
 1307 
 
 1428 
 
 1549 
 
 1670 
 
 1791 
 
 1912 
 
 2033 
 
 
 
 91 
 
 2154 
 
 2275 
 
 2396 
 
 2517 
 
 2638 
 
 2759 
 
 2880 
 
 3001 
 
 3121 
 
 3242 
 
 
 
 92 
 
 3363 
 
 3484 
 
 3605 
 
 3726 
 
 3847 
 
 3968 
 
 4089 
 
 4210 
 
 4330 
 
 4451 
 
 
 121 
 
 93 
 
 4572 
 
 4693 
 
 4814 
 
 4935 
 
 5056 
 
 5176 
 
 5297 
 
 5418 
 
 5539 
 
 5660 
 
 
 ]| 12 
 
 94 
 
 5781 
 
 5902 
 
 6022 
 
 6143 
 
 6264 
 
 6385 
 
 6506 
 
 6627 
 
 6747 
 
 6868 
 
 
 2 24 
 
 3 36 
 
 : 95 
 
 6989 
 
 7110 
 
 7231 
 
 7351 
 
 7472 
 
 7593 
 
 7714 
 
 7835 
 
 7955 
 
 8076 
 
 
 4 48 
 
 96 
 
 8197 
 
 8318 
 
 8438 
 
 8559 
 
 8680 
 
 8801 
 
 8921 
 
 9042 
 
 9163 
 
 9284 
 
 
 5 61 
 
 97 
 
 9401 
 
 9525 
 
 9646 
 
 9767 
 
 9887 
 
 0008 
 
 0129 
 
 0249 
 
 0370 
 
 0491 
 
 
 6 73 
 
 7 85 
 
 8 97 
 
 98 
 
 5560612 
 
 0732 
 
 0853 
 
 0974 
 
 1094 
 
 1215 
 
 1336 
 
 1456 
 
 1577 
 
 1698 
 
 
 99 
 
 N. 
 
 1818 
 
 1939 
 1 
 
 2060 
 2 
 
 2180 
 
 3 
 
 2301 
 
 IT 
 
 2422 
 
 5 
 
 2542 
 31 
 
 2663 
 
 7 
 
 2784 
 8 
 
 2904 
 
 9 
 
 |d 
 
 9 109 
 Pts. 
 
 
 
 ^i 
 
(58) 
 
 LOGARITHMS N. 36000 L. 556 
 
 N. 
 
 3600 
 
 
 
 J 
 3146 
 
 2 
 3266 
 
 3 
 
 3387 
 
 4 
 
 3508 
 
 5 6 
 
 7 
 
 _8 
 3990 
 
 9 
 4111 
 
 D 
 
 Pro. 
 
 5563025 
 
 3628 
 
 3749 
 
 3869 
 
 01 
 
 4231 
 
 4352 
 
 4472 
 
 4593 
 
 4714 
 
 4834 
 
 4955 
 
 5075 
 
 5196 
 
 5317 
 
 
 121 
 
 02 
 
 5437 
 
 5558 
 
 5678 
 
 5799 
 
 5919 
 
 6040 
 
 6160 
 
 6281 
 
 6402 
 
 6522 
 
 
 1 12 
 
 03 
 
 6643 
 
 6763 
 
 6884 
 
 7004 
 
 7125 
 
 7245 
 
 7366 
 
 7486 
 
 7607 
 
 7727 
 
 
 2 24 
 
 3 36 
 
 4 48 
 
 04 
 
 7848 
 
 7968 
 
 8089 
 
 8209 
 
 8330 
 
 8450 
 
 8571 
 
 8691 
 
 8812 
 
 8932 
 
 
 05 
 
 9053 
 
 9173 
 
 9294 
 
 9414 
 
 9535 
 
 9655 
 
 9775 
 
 9896 
 
 0016 
 
 0137 
 
 
 5 61 
 
 06 
 
 5570257 
 
 0378 
 
 0498 
 
 0619 
 
 0739 
 
 0859 
 
 0980 
 
 1100 
 
 1221 
 
 1341 
 
 
 6 73 
 
 7 85 
 
 8 97 
 
 07 
 
 1461 
 
 1582 
 
 1702 
 
 1823 
 
 1943 
 
 2063 
 
 2184 
 
 2304 
 
 2425 
 
 2545 
 
 
 08 
 
 2665 
 
 2786 
 
 2906 
 
 3026 
 
 3147 
 
 3267 
 
 3387 
 
 3508 
 
 3628 
 
 3748 
 
 
 9 109 
 
 09 
 
 3869 
 
 3989 
 
 4109 
 
 4230 
 
 4350 
 
 4470 
 
 4591 
 
 4711 
 
 4831 
 
 4952 
 
 
 
 3610 
 
 5072 
 
 5192 
 
 5313 
 
 5433 
 
 5553 
 
 5673 
 
 5794 
 
 5914 
 
 6034 
 
 6155 
 
 
 
 11 
 
 6275 
 
 6395 
 
 6515 
 
 6636 
 
 6756 
 
 6876 
 
 6996 
 
 7117 
 
 7237 
 
 7357 
 
 
 
 12 
 
 7477 
 
 7598 
 
 7718 
 
 7838 
 
 7958 
 
 8079 
 
 8199 
 
 8319 
 
 8439 
 
 8559 
 
 
 
 13 
 
 8680 
 
 8800 
 
 8920 
 
 9040 
 
 9160 
 
 9281 
 
 9401 
 
 9521 
 
 9641 
 
 9761 
 
 
 
 14 
 
 9881 
 
 0002 
 
 0122 
 
 0242 
 
 0362 
 
 0482 
 
 0602 
 
 0723 
 
 0843 
 
 0963 
 
 
 
 13 
 
 5581083 
 
 1203 
 
 1323 
 
 1443 
 
 1564 
 
 1684 
 
 1804 
 
 1924 
 
 2044 
 
 2164 
 
 
 
 16 
 
 2284 
 
 2404 
 
 2524 
 
 2645 
 
 2765 
 
 2885 
 
 3005 
 
 3125 
 
 3245 
 
 3365 
 
 
 
 17 
 
 3485 
 
 3605 
 
 3725 
 
 3845 
 
 3965 
 
 4085 
 
 4205 
 
 4325 
 
 4446 
 
 4566 
 
 120 
 
 
 18 
 
 4686 
 
 4806 
 
 4926 
 
 5046 
 
 5166 
 
 5286 
 
 5406 
 
 5526 
 
 5646 
 
 5766 
 
 
 
 19 
 
 5886 
 
 6006 
 
 6126 
 
 6246 
 
 6366 
 
 '6486 
 
 6606 
 
 6726 
 
 6846 
 
 6966 
 
 
 
 3620 
 
 7086 
 
 7206 
 
 7326 
 
 7446 
 
 7566 
 
 7686 
 
 7805 
 
 7925 
 
 8045 
 
 8165 
 
 
 
 21 
 
 8285 
 
 8405 
 
 8525' 
 
 8645 
 
 8765 
 
 8885 
 
 9005 
 
 9125 
 
 9245 
 
 9365 
 
 
 
 22 
 
 9484 
 
 9604 
 
 9724 
 
 9844 
 
 9964 
 
 0084 
 
 0204 
 
 0324 
 
 0444 
 
 0563 
 
 
 
 23 
 
 5590683 
 
 0803 
 
 0923 
 
 1043 
 
 1163 
 
 1283 
 
 1403 
 
 1522 
 
 1642 
 
 1762 
 
 
 
 24 
 
 1882 
 
 2002 
 
 2122 
 
 2241 
 
 2361 
 
 2481 
 
 2601 
 
 2721 
 
 2840 
 
 2960 
 
 
 
 25 
 
 3080 
 
 3200 
 
 3320 
 
 3440 
 
 3559 
 
 3679 
 
 3799 
 
 3919 
 
 4038 
 
 4158 
 
 
 
 26 
 
 4278 
 
 4398 
 
 4518 
 
 4637 
 
 4757 
 
 4877 
 
 4997 
 
 5116 
 
 5236 
 
 5356 
 
 
 
 27 
 
 5476 
 
 5595 
 
 5715 
 
 5835 
 
 5954 
 
 6074 
 
 6194 
 
 6314 
 
 6433 
 
 6553 
 
 
 
 28 
 
 6673 
 
 6792 
 
 6912 
 
 7032 
 
 7152 
 
 7271 
 
 7391 
 
 7511 
 
 7630 
 
 7750 
 
 
 
 29 
 
 7870 
 
 7989 
 
 8109 
 
 8229 
 
 8348 
 
 8468 
 
 8588 
 
 8707 
 
 8827 
 
 8947 
 
 
 
 3630 
 
 9066 
 
 9186 
 
 9306 
 
 9425 
 
 9545 
 
 9664 
 
 9784 
 
 9904 
 
 (5023 
 
 0143 
 
 
 
 31 
 
 5600262 
 
 0382 
 
 0502 
 
 0621 
 
 0741 
 
 0860 
 
 0980 
 
 1100 
 
 1219 
 
 1339 
 
 
 
 32 
 
 1458 
 
 1578 
 
 1698 
 
 1817 
 
 1937 
 
 2056 
 
 2176 
 
 2295 
 
 2415 
 
 2534 
 
 
 
 33 
 
 2654 
 
 2774 
 
 2893 
 
 3013 
 
 3132 
 
 3252 
 
 3371 
 
 3491 
 
 3610 
 
 3730 
 
 
 
 34 
 
 3^49 
 
 3969 
 
 4088 
 
 4208 
 
 4327 
 
 4447 
 
 4566 
 
 4686 
 
 4805 
 
 4925 
 
 
 
 35 
 
 5044 
 
 5164 
 
 5283 
 
 5403 
 
 5522 
 
 5641 
 
 5761 
 
 5880 
 
 6000 
 
 6119 
 
 
 
 36 
 
 6239 
 
 6358 
 
 6478 
 
 6597 
 
 6716 
 
 6836 
 
 6955 
 
 7075 
 
 7194 
 
 7314 
 
 
 
 37 
 
 7433 
 
 7552 
 
 7672 
 
 7791 
 
 7911 
 
 8030 
 
 8149 
 
 8269 
 
 8388 
 
 8508 
 
 
 
 38 
 
 8627 
 
 8746 
 
 8866 
 
 8985 
 
 9104 
 
 9224 
 
 9343 
 
 9463 
 
 9582 
 
 9701 
 
 
 
 39 
 
 9821 
 
 9940 
 
 0059 
 
 0179 
 
 0298 
 
 0417 
 
 0537 
 
 0656 
 
 0775 
 
 0895 
 
 
 
 3640 
 
 5611014 
 
 1133 
 
 1252 
 
 1372 
 
 1491 
 
 1610 
 
 1730 
 
 1849 
 
 1968 
 
 2088 
 
 
 
 41 
 
 2207 
 
 2326 
 
 2445 
 
 2565 
 
 2684 
 
 2803 
 
 2922 
 
 3042 
 
 3161 
 
 3280 
 
 
 
 42 
 
 3399 
 
 3519 
 
 3638 
 
 3757 
 
 3876 
 
 3996 
 
 4115 
 
 4234 
 
 4353 
 
 4472 
 
 
 120 
 
 43 
 
 4592 
 
 4711 
 
 4830 
 
 4949 
 
 5069 
 
 5188 
 
 5307 
 
 5426 
 
 5545 
 
 5665 
 
 
 1 12 
 
 44 
 
 5784 
 
 5903 
 
 6022 
 
 6141 
 
 6260 
 
 6380 
 
 6499 
 
 6618 
 
 6737 
 
 6856 
 
 
 2 24 
 
 3 36 
 
 45 
 
 6975 
 
 7094 
 
 7214 
 
 7333 
 
 7452 
 
 7571 
 
 7690 
 
 7809 
 
 7928 
 
 8048 
 
 
 4 48 
 
 46 
 
 8167 
 
 8286 
 
 8405 
 
 8524 
 
 8643 
 
 8762 
 
 8881 
 
 9000 
 
 9119 
 
 9239 
 
 
 5 60 
 
 6 72 
 
 7 84 
 
 8 96 
 
 47 
 
 9358 
 
 9477 
 
 9596 
 
 9715 
 
 9834 
 
 9953 
 
 0072 
 
 0191 
 
 0310 
 
 0429 
 
 
 48 
 
 5620548 
 
 0667 
 
 0786 
 
 0905 
 
 1024 
 
 1144 
 
 1263 
 
 1382 
 
 1501 
 
 1620 
 
 
 49 
 
 " 1739 
 
 1858 
 
 1977 
 
 2096 
 
 3 
 
 2215 
 4 
 
 2334 
 
 5 
 
 2413 
 
 2572 
 7 
 
 2691 
 8 
 
 2810 
 
 9 
 
 119 
 
 D 
 
 9 108 
 
 Pts. 
 
 N. 
 
 P 
 
 1 
 
 6 
 

 N'.S63()0 L.66^ ' OF NUMBERS. (59)\ 
 
 
 N. 
 
 3050 
 
 
 
 1 
 
 3048 
 
 2 
 3167 
 
 3 
 
 3286 
 
 4 
 
 3405 
 
 5 
 
 3524 
 
 6 
 
 3642 
 
 7- 
 
 3761 
 
 8 
 
 3880 
 
 9 
 
 3999 
 
 D 
 
 Pro. 
 
 
 5622929 
 
 
 51 
 
 4118 
 
 4237 
 
 4356 
 
 4475 
 
 4594 
 
 4713 
 
 4832 
 
 4951 
 
 5070 
 
 5189 
 
 
 119 
 
 
 52 
 
 5308 
 
 5427 
 
 5546 
 
 5664 
 
 5783 
 
 5902 
 
 6021 
 
 6140 
 
 6259 
 
 6378 
 
 
 1 12 
 
 
 53 
 
 6497 
 
 6616 
 
 6734 
 
 6853 
 
 6972 
 
 7091 
 
 7210 
 
 7329 
 
 7448 
 
 7567 
 
 
 2 24 
 
 3 36 
 
 4 48 
 
 
 54 
 
 7685 
 
 7804 
 
 7923 
 
 8042 
 
 8161 
 
 8280 
 
 8398 
 
 8517 
 
 8636 
 
 8755 
 
 
 
 55 
 
 8874 
 
 8993 
 
 9111 
 
 9230 
 
 9349 
 
 9468 
 
 9587 
 
 9705 
 
 9824 
 
 9943 
 
 
 5 60 
 
 
 50 
 
 5630062 
 
 0181 
 
 0299 
 
 0418 
 
 0537 
 
 0656 
 
 0775 
 
 0893 
 
 1012 
 
 1131 
 
 
 6 71 
 
 7 83 
 
 8 95 
 
 
 51 
 
 1 250 
 
 1368 
 
 1487 
 
 !606 
 
 1725 
 
 1843 
 
 1962 
 
 2081 
 
 2200 
 
 2318 
 
 
 
 : 58 
 
 2437 
 
 2556 
 
 2674 
 
 2793 
 
 2912 
 
 3031 
 
 3149 
 
 3268 
 
 3387 
 
 3505 
 
 
 9 107 
 
 
 59 
 
 3624 
 
 3743 
 
 3,861 
 
 3980 
 
 4099 
 
 4218 
 
 4336 
 
 4455 
 
 4574 
 
 4692 
 
 
 
 
 3660 
 
 4811 
 
 4930 
 
 5048 
 
 5167 
 
 5285 
 
 5404 
 
 5523 
 
 5641 
 
 5760 
 
 5879 
 
 
 m 
 
 
 61 
 
 5997 
 
 6116 
 
 6235 
 
 6353 
 
 6472 
 
 6590 
 
 6709 
 
 6828 
 
 6946 
 
 7065 
 
 
 
 
 62 
 
 7183 
 
 7302 
 
 7421 
 
 7539 
 
 7658 
 
 7776 
 
 7895 
 
 8013 
 
 8132 
 
 8251 
 
 
 
 
 63 
 
 8369 
 
 8488 
 
 8606 
 
 8725 
 
 8843 
 
 8962 
 
 9081 
 
 9199 
 
 9318 
 
 9436 
 
 
 
 
 64 
 
 9555 
 
 9673 
 
 9792 
 
 9910 
 
 0029 
 
 0147 
 
 0266 
 
 0384 
 
 0503 
 
 0621 
 
 
 
 
 65 
 
 5640740 
 
 0858 
 
 0977 
 
 1095 
 
 1214 
 
 1332 
 
 1451 
 
 1569 
 
 1688 
 
 1806 
 
 
 
 
 66 
 
 1 925 
 
 2043 
 
 2162 
 
 2280 
 
 2398 
 
 2517 
 
 2'j35 
 
 2754 
 
 2872 
 
 2991 
 
 
 
 
 67 
 
 3109 
 
 3228 
 
 3346 
 
 .'3464 
 
 3583 
 
 3701 
 
 3820 
 
 3938 
 
 4056 
 
 4175 
 
 
 
 
 68 
 
 4293 
 
 4412 
 
 4530 
 
 4648 
 
 4767 
 
 4885 
 
 5004 
 
 5122 
 
 5240 
 
 5359 
 
 
 ' 
 
 
 69 
 
 5477 
 
 5595 
 
 5714 
 
 5832 
 
 5951 
 
 6G69 
 
 6187 
 
 6306 
 
 6424 
 
 6542 
 
 
 
 
 3670 
 
 6661 
 
 6779 
 
 6897 
 
 7016 
 
 7134 
 
 7252 
 
 7371 
 
 7489 
 
 7607 
 
 7726 
 
 
 
 
 71 
 
 7844 
 
 7962 
 
 8080 
 
 8199 
 
 8317 
 
 8435 
 
 8554 
 
 8672 
 
 87 yo 
 
 8908 
 
 
 
 
 72 
 
 9027 
 
 9145 
 
 9263 
 
 9382 
 
 9500 
 
 9618 
 
 9736 
 
 9855 
 
 9973 
 
 0091 
 
 
 
 
 73 
 
 5650209 
 
 0328 
 
 0446 
 
 0564 
 
 0682 
 
 0800 
 
 0919 
 
 1037 
 
 1155 
 
 1273 
 
 
 
 
 74 
 
 1392 
 
 1510 
 
 1628 
 
 1746 
 
 1864 
 
 1983 
 
 2101 
 
 2219 
 
 2337 
 
 2455 
 
 
 
 
 75 
 
 2573 
 
 2692 
 
 2810 
 
 2928 
 
 3046 
 
 3164 
 
 3282 
 
 3401 
 
 3519 
 
 3637 
 
 
 
 
 76 
 
 3755 
 
 3873 
 
 3991 
 
 4109 
 
 4228 
 
 4346 
 
 4464 
 
 4582 
 
 4700 
 
 4818 
 
 
 
 
 77 
 
 4936 
 
 5054 
 
 5173 
 
 5291 
 
 5409 
 
 5527 
 
 5645 
 
 5763 
 
 5881 
 
 5999 
 
 
 
 
 78 
 
 6117 
 
 6235 
 
 6353 
 
 6471 
 
 6590 
 
 6708 
 
 6826 
 
 6944 
 
 7062 
 
 7180 
 
 
 
 
 79 
 
 7298 
 
 7416 
 
 7534 
 
 7652 
 
 7770 
 
 7888 
 
 8006 
 
 8124 
 
 8242 
 
 8360 
 
 1 18 
 
 
 
 3680 
 
 8478 
 
 8596 
 
 8714 
 
 8832 
 
 8950 
 
 9068 
 
 9186 
 
 9304 
 
 9422 
 
 9540 
 
 
 
 
 81 
 
 9658 
 
 9776 
 
 9894 
 
 0012 
 
 0130 
 
 0248 
 
 0366 
 
 0484 
 
 0602 
 
 0720 
 
 
 
 
 82 
 
 5660838 
 
 0956 
 
 l'074 
 
 1192 
 
 1310 
 
 142S 
 
 1545 
 
 1663 
 
 1781 
 
 1899 
 
 
 
 
 83 
 
 2017 
 
 2135 
 
 2253 
 
 2371 
 
 2489 
 
 2607 
 
 2725 
 
 2843 
 
 2960 
 
 3078 
 
 
 
 
 84 
 
 3196 
 
 3314 
 
 3432 
 
 3550 
 
 3668 
 
 3786 
 
 3903 
 
 4021 
 
 4139 
 
 4257 
 
 
 
 
 85 
 
 4375 
 
 4493 
 
 4611 
 
 4728 
 
 4846 
 
 4964 
 
 5082 
 
 5200 
 
 5318 
 
 5435 
 
 
 
 
 86 
 
 5553 
 
 5671 
 
 5789 
 
 5907 
 
 6025 
 
 6142 
 
 6260 
 
 6378 
 
 6496 
 
 6614 
 
 
 
 
 87 
 
 6731 
 
 6849 
 
 6967 
 
 7085 
 
 7203 
 
 7320 
 
 7438 
 
 7556 
 
 7674 
 
 7791 
 
 
 
 
 88 
 
 79.09 
 
 8027 
 
 8145 
 
 8262 
 
 8380 
 
 8498 
 
 8616 
 
 8733 
 
 8851 
 
 8969 
 
 
 
 
 89 
 
 9087 
 
 .9204 
 
 9322 
 
 9440 
 
 9557 
 
 9675 
 
 9793 
 
 9911 
 
 0028 
 
 0146 
 
 
 
 
 3690 
 
 5670264 
 
 0381 
 
 0499 
 
 0617 
 
 0734 
 
 0852 
 
 0970 
 
 1087 
 
 1205 
 
 1323 
 
 
 
 
 91 
 
 1440 
 
 1558 
 
 1676 
 
 1793 
 
 1911 
 
 2029 
 
 2146 
 
 2264 
 
 2382 
 
 2499 
 
 
 
 
 92 
 
 2617 
 
 2735 
 
 2852 
 
 2970 
 
 3087 
 
 3205 
 
 3323 
 
 3440 
 
 3558 
 
 5675 
 
 
 118 
 
 
 93 
 
 3793 
 
 3911 
 
 4028 
 
 4146 
 
 4263 
 
 4381 
 
 4499 
 
 4616 
 
 4734 
 
 4851 
 
 ., 
 
 1 12 
 
 
 94 
 
 ,4969 
 
 5086 
 
 5204 
 
 5322 
 
 5439 
 
 5557 
 
 5674 
 
 5792 
 
 5909 
 
 6027 
 
 
 2 24 
 
 3 35 
 
 
 95 
 
 6144 
 
 6262 
 
 6379 
 
 6497 
 
 6615 
 
 6732 
 
 6850 
 
 6967 
 
 7085 
 
 7202 
 
 
 4 47 
 
 
 96 
 
 7320 
 
 7437 
 
 7555 
 
 7672 
 
 7790 
 
 7907 
 
 8025 
 
 8142 
 
 8260 
 
 8377 
 
 
 5 59 
 
 
 97 
 
 8495 
 
 86.1,2 
 
 8729 
 
 8847 
 
 8964 
 
 9082 
 
 9199' 
 
 9317 
 
 9434 
 
 9552 
 
 
 6 71 
 
 7 83 
 
 8 94 
 
 
 98 
 
 9669 
 
 9787 
 
 9904 
 
 C021 
 
 0139 
 
 0256 
 
 0374 
 
 0491 
 
 0608 
 
 0726 
 
 
 
 99 
 
 N., 
 
 5680843 
 
 0961 
 1 
 
 1078 
 ~2~ 
 
 1196 
 
 ~3" 
 
 .1313; 
 
 1430 
 
 1 548 
 
 6 1 
 
 1665 
 
 7 ^ 
 
 1782 
 
 1900 
 
 D 
 
 9 106 
 
 Pts. 
 
 
 
 
 8 1 9 
 
 2 12 
 
(60) LOGARITHMS N- 37000 L. 568 
 
 N. 
 
 37O0 
 
 
 
 1 
 2135 
 
 2252 
 
 3 
 
 2369 
 
 4 
 
 2487 
 
 2604 
 
 6* 
 
 2721 
 
 7 
 
 2839 
 
 8 
 2956 
 
 9 
 
 3074 
 
 D^ 
 
 Pro. 
 
 5682017 
 
 01 
 
 319! 
 
 3308 
 
 3426 
 
 3543 
 
 3660 
 
 3778 
 
 3895 
 
 4012 
 
 4130 
 
 4247 
 
 
 118 
 
 02 
 
 4364 
 
 4J.81 
 
 4599 
 
 4716 
 
 4833 
 
 4951 
 
 5068 
 
 5185 
 
 5303 
 
 5420 
 
 
 1 12 
 
 03 
 
 5537 
 
 5654 
 
 5772 
 
 5889 
 
 6006 
 
 6123 
 
 624] 
 
 0358 
 
 6475 
 
 6593 
 
 
 2 24 
 
 3 35 
 
 4 4r 
 
 04 
 
 0710 
 
 6827 
 
 6944 
 
 7062 
 
 7179 
 
 7296 
 
 7413 
 
 7530 
 
 7648 
 
 7765 
 
 
 05 
 
 7882 
 
 7999 
 
 8117 
 
 8234 
 
 8351 
 
 8468 
 
 8585 
 
 8703 
 
 8820 
 
 8937 
 
 
 5 59 
 
 06 
 
 9054 
 
 9171 
 
 9289 
 
 9406 
 
 9523 
 
 9640 
 
 9757 
 
 9874 
 
 9992 
 
 (5109 
 
 
 6 71 
 
 7 83 
 
 8 94 
 
 07 
 
 5690226 
 
 0343 
 
 0460 
 
 0577 
 
 0694 
 
 0812 
 
 0929 
 
 1046 
 
 1163 
 
 1280 
 
 
 08 
 
 1397 
 
 1514 
 
 1631 
 
 1749 
 
 1866 
 
 1983 
 
 2100 
 
 2217 
 
 2334 
 
 2451 
 
 
 S106 
 
 09 
 
 2568 
 
 2685 
 
 2803 
 
 2920 
 
 3037 
 
 3154 
 
 3271 
 
 3388 
 
 3505 
 
 3622 
 
 
 
 37 fo 
 
 3739 
 
 3856 
 
 3973 
 
 4090 
 
 4207 
 
 4324 
 
 4441 
 
 4558 
 
 4675 
 
 4793 
 
 1 17 
 
 
 11 
 
 4910 
 
 5027 
 
 5144 
 
 5261 
 
 5378 
 
 5495 
 
 5612 
 
 5729 
 
 5846 
 
 5963 
 
 
 
 1^ 
 
 6080 
 
 6197 
 
 6314 
 
 6431 
 
 6548 
 
 Qms 
 
 6782 
 
 6899 
 
 7016 
 
 7133 
 
 
 
 13 
 
 7249 
 
 7366 
 
 7483 
 
 7600 
 
 7717 
 
 7834 
 
 7-951 
 
 8068 
 
 8185 
 
 8302 
 
 
 
 14 
 
 8419 
 
 8536 
 
 8653 
 
 8770 
 
 8887 
 
 9004 
 
 9121 
 
 9237 
 
 9354 
 
 9471 
 
 
 
 15 
 
 9588 
 
 9705 
 
 9822 
 
 9939 
 
 D056 
 
 0173 
 
 0290 
 
 0406 
 
 0523 
 
 0640 
 
 
 
 16 
 
 5700757 
 
 0874 
 
 0991 
 
 1108 
 
 1225 
 
 1341 
 
 1458 
 
 1575 
 
 1692 
 
 1809 
 
 
 
 17 
 
 m.iQ 
 
 201-2 
 
 2159 
 
 2276 
 
 2393 
 
 2510 
 
 2627 
 
 2743 
 
 2860 
 
 2977 
 
 
 
 18 
 
 3094 
 
 3211 
 
 3327 
 
 3444 
 
 3561 
 
 3678 
 
 3795 
 
 3911 
 
 4028 
 
 4145 
 
 
 
 19 
 
 4262 
 
 4379 
 
 4495 
 
 4612 
 
 4729 
 
 4846 
 
 4962 
 
 5079 
 
 5196 
 
 5313 
 
 
 
 3720 
 
 5429 
 
 554(3 
 
 5663 
 
 5780 
 
 5896 
 
 6013 
 
 5130 
 
 6247 
 
 6363 
 
 6480 
 
 
 
 21 
 
 6597 
 
 6713 
 
 6830 
 
 6947 
 
 7064 
 
 7180 
 
 7297 
 
 7414 
 
 7530 
 
 7647 
 
 
 
 22 
 
 77f>t 
 
 7880 
 
 7997 
 
 8114 
 
 8230 
 
 8347 
 
 8464 
 
 8580 
 
 8697 
 
 8814 
 
 
 
 23 
 
 8930 
 
 9047 
 
 9164 
 
 9280 
 
 9397 
 
 9514 
 
 9630 
 
 9747 
 
 9863 
 
 9980 
 
 
 j 
 
 24 
 
 5710097 
 
 0213 
 
 0330 
 
 0447 
 
 0563 
 
 0680 
 
 0796 
 
 0913 
 
 1030 
 
 1146 
 
 
 
 25 
 
 1263 
 
 1379 
 
 1496 
 
 1613 
 
 1729 
 
 1846 
 
 1962 
 
 2079 
 
 2195 
 
 2312 
 
 
 
 26 
 
 2429 
 
 2545 
 
 2662 
 
 2778 
 
 2895 
 
 3011 
 
 3128 
 
 3244 
 
 3SQ\ 
 
 3477 
 
 
 
 27 
 
 3594 
 
 3710 
 
 3827 
 
 3943 
 
 4060 
 
 4177 
 
 4293 
 
 4410 
 
 4526 
 
 4643 
 
 
 
 28 
 
 4759 
 
 4876 
 
 4992 
 
 5109 
 
 5225 
 
 5341 
 
 5458 
 
 5574 
 
 5691 
 
 5807 
 
 
 
 29 
 
 5924 
 
 6040 
 
 6157 
 
 6273 
 
 6390 
 
 6506 
 
 6623 
 
 6739 
 
 6855 
 
 6972 
 
 
 
 3730 
 
 7088 
 
 7205 
 
 7321 
 
 7438 
 
 7554 
 
 7670 
 
 7787 
 
 7903 
 
 8020 
 
 8136 
 
 
 
 31 
 
 8252 
 
 8369 
 
 8485 
 
 8602 
 
 8718 
 
 8834 
 
 8951 
 
 9067 
 
 9184 
 
 9300 
 
 
 
 32 
 
 9416 
 
 9533 
 
 9649 
 
 9765 
 
 9882 
 
 9998 
 
 SU5 
 
 0231 
 
 0347 
 
 0464 
 
 
 
 S3 
 
 5720580 
 
 0696 
 
 0813 
 
 0929 
 
 1045 
 
 1162 
 
 1278 
 
 1394 
 
 1511 
 
 1627 
 
 
 
 34 
 
 1743 
 
 1859 
 
 1976 
 
 2092 
 
 2208 
 
 2325 
 
 2441 
 
 2557 
 
 2674 
 
 2790 
 
 
 
 35 
 
 2906 
 
 3022 
 
 3139 
 
 3255 
 
 3371 
 
 3487 
 
 3604 
 
 3720 
 
 3836 
 
 3952 
 
 
 
 36 
 
 4069 
 
 4185 
 
 4301 
 
 4417 
 
 4534 
 
 4650 
 
 4766 
 
 4S82 
 
 4999 
 
 5115 
 
 
 
 37 
 
 5231 
 
 5347 
 
 5463 
 
 5580 
 
 5696 
 
 5812 
 
 5928 
 
 6044 
 
 616L 
 
 6277 
 
 
 
 38 
 
 6393 
 
 6509 
 
 6625 
 
 6742 
 
 6858 
 
 6974 
 
 7090 
 
 7206 
 
 7322 
 
 7438 
 
 
 
 39 
 
 7555 
 
 7671 
 
 7787 
 
 7903 
 
 8019 
 
 8135 
 
 8252 
 
 8368 
 
 8484 
 
 8600 
 
 
 
 3740 
 
 8716 
 
 8832 
 
 8948 
 
 9064 
 
 9180 
 
 9297 
 
 9-413 
 
 9529 
 
 9645 
 
 9761 
 
 
 
 41 
 
 9877 
 
 9993 
 
 ni09 
 
 0225 
 
 0341 
 
 0457 
 
 0574 
 
 0690 
 
 0806 
 
 0922 
 
 
 
 42 
 
 5731038 
 
 1154 
 
 1270 
 
 1386 
 
 1502 
 
 ■1018 
 
 1734 
 
 1850 
 
 1966 
 
 2082 
 
 
 117 
 
 43 
 
 2198 
 
 2314 
 
 2430 
 
 2546 
 
 2662 
 
 2778 
 
 2894 
 
 3010 
 
 3126 
 
 3242 
 
 116 
 
 1 12 
 
 44 
 
 3358, 
 
 3474 
 
 3590 
 
 3706 
 
 3822 
 
 3938 
 
 4054 
 
 4170 
 
 4286 
 
 4402 
 
 
 2 23 
 
 3 35 
 
 45 
 
 4518 
 
 4634 
 
 4750; 
 
 4866 
 
 4982 
 
 5098 
 
 5214 
 
 5330 
 
 5446 
 
 5562 
 
 
 4 47 
 
 46 
 
 5678 
 
 5794 
 
 5910; 
 
 6026 
 
 6141 
 
 6257 
 
 6373 
 
 6489 
 
 6605 
 
 6721 
 
 
 5 59 
 
 47 
 
 6837 
 
 6953 
 
 7069 
 
 7185 
 
 7301 
 
 7416 
 
 7532 
 
 7648 
 
 7764 
 
 7880 
 
 
 6 70 
 
 7 82 
 3 94 
 
 48 
 
 7996 
 
 8112 
 
 8228; 
 
 8343 
 
 8459 
 
 8575 
 
 8691 
 
 8807 
 
 8923 
 
 9039 
 
 
 49 
 
 N. 
 
 9154 
 
 9270 
 
 9386; 
 2 
 
 9502 
 3 
 
 9618 
 
 4 
 
 9734 
 5 
 
 9849 
 
 6 
 
 9965 
 
 7 
 
 5081 
 8 
 
 0197 
 
 9 
 
 D 
 
 5 105 
 
 Pts. 
 
 
 
 1 
 
N. 37500 L.574 of numbers. (6}] 
 
 1 
 
 N. 
 
 3750 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 0776 
 
 5 
 
 0892 
 
 6 
 
 1-007 
 
 7 
 
 1123 
 
 8 
 
 123y 
 
 .9 
 
 1355 
 
 D 
 
 Pro. 
 
 5740313 
 
 a428 0544 1 0660 
 ¥386 17021 1818 
 
 
 51 
 
 147 J 
 
 1934 
 
 2050 
 
 2165 
 
 2281 
 
 2397 
 
 2513 
 
 
 116 
 
 52 
 
 2628 
 
 '27 44 j 2860 
 
 2976 
 
 3091 
 
 3207 
 
 3323 
 
 3438 
 
 3554 
 
 3670 
 
 
 1 12 
 
 53 
 
 3786 
 
 3901 
 
 4017 
 
 4133 
 
 4248 
 
 4364 
 
 4480 
 
 4596 
 
 4711 
 
 4827 
 
 
 2 23 
 
 54 
 
 4943 
 
 3058 
 
 5174 
 
 5290 
 
 5405 
 
 5521 
 
 5637 
 
 5752 
 
 5868 
 
 5984 
 
 
 3 35 
 
 4 46 
 
 55 
 
 6099 
 
 6215 
 
 6331 
 
 6446 
 
 6562 
 
 6678 
 
 6793 
 
 6909 
 
 7025 
 
 7140 
 
 
 5 58 
 
 56 
 
 7256 
 
 7371 
 
 7487 
 
 7603 
 
 7718 
 
 7834 
 
 7950 
 
 8065 
 
 8181 
 
 8296 
 
 
 6 70 
 
 7 81 
 
 8 93 
 
 9 104 
 
 
 57 
 
 84 i 2 
 
 8528 
 
 8643 
 
 8759 
 
 8874 
 
 89 .)0 
 
 9105 
 
 9221 
 
 9337 
 
 9452 
 
 
 
 58 
 
 9568 
 
 9683 
 
 9799 
 
 9914 
 
 S030 
 
 0146 
 
 0^61 
 
 0377 
 
 0492 
 
 0608 
 
 
 
 59 
 
 5750723 
 
 0839 
 
 0954 
 
 1070 
 
 1185 
 
 1301 
 
 1416 
 
 1532 
 
 1617 
 
 1763 
 
 
 
 
 3760 
 
 1878 
 
 1994 
 
 2109 
 
 2225 
 
 2340 
 
 2456 
 
 2571 
 
 2687 
 
 2802 
 
 2918 
 
 
 ;> 
 
 
 61 
 
 3033 
 
 3 149 '3264 
 
 3380 
 
 3495 
 
 3611 
 
 3726 
 
 3842 
 
 3957 
 
 4072 
 
 
 
 
 62 
 
 4188 
 
 4303 
 
 4419 
 
 4534 
 
 4650 
 
 4765 
 
 4881 
 
 4996 
 
 5111 
 
 5227 
 
 
 
 
 63 
 
 5342 
 
 5458 
 
 5573 
 
 5688 
 
 5804 
 
 5919 
 
 6035 
 
 6150 
 
 6265 
 
 6381 
 
 
 
 
 64. 
 
 6496 
 
 6612 
 
 6727 
 
 6842 
 
 6958 
 
 7073 
 
 7188 
 
 7304 
 
 7419 
 
 7534 
 
 
 
 
 65 
 
 7650 
 
 7765 
 
 7881 
 
 7996 
 
 8111 
 
 8227 
 
 8342 
 
 8457 
 
 8573 
 
 8688 
 
 
 
 
 66 
 
 8803 
 
 8918 
 
 9034 
 
 9149 
 
 9264 
 
 9380 
 
 9495 
 
 9610 
 
 9726 
 
 9841 
 
 
 
 
 67 
 
 9956 
 
 i5071 
 
 0187 
 
 0302 
 
 0417 
 
 0533 
 
 0648 
 
 0763 
 
 0878 
 
 0994 
 
 
 
 
 68 
 
 5761109 
 
 1224 
 
 1339 
 
 1455 
 
 1570 
 
 1685 
 
 1800 
 
 1916 
 
 2031 
 
 2146 
 
 
 
 
 69 
 
 2261 
 
 2377 
 
 2492 
 
 2607 
 
 2722 
 
 2837 
 
 2953 
 
 3068 
 
 3183 
 
 3298 
 
 
 
 
 3770 
 
 34 U 
 
 3529 
 
 3644 
 
 3759 
 
 3874 
 
 3989 
 
 4105 
 
 4220, 
 
 4335 
 
 4450 
 
 
 
 
 71 
 
 4565 
 
 4680 
 
 4796 
 
 4911 
 
 5026 
 
 5141 
 
 5256 
 
 5371 
 
 5487 
 
 5602 
 
 
 
 
 72 
 
 5717 
 
 5832 
 
 5947 
 
 6062 
 
 6177 
 
 6292 
 
 6408 
 
 6523 
 
 6638 
 
 6753 
 
 
 
 
 73 
 
 6868 
 
 6983 
 
 7098 
 
 7213 
 
 7'i28 
 
 7444 
 
 7559 
 
 7674 
 
 7789 
 
 7904 
 
 
 
 
 74 
 
 8019 
 
 8134 
 
 8249 
 
 8364 
 
 8479 
 
 8591 
 
 8709 
 
 8824 
 
 8939 
 
 9055 
 
 
 
 
 75 
 
 9170 
 
 9285 
 
 9400 
 
 9515 
 
 9630 
 
 9745 
 
 9860 
 
 9975 
 
 0090 
 
 0205 
 
 
 
 
 76 
 
 5770320 
 
 0435 
 
 0550 
 
 0665 
 
 0780 
 
 0895 
 
 1010 
 
 1125 
 
 1240 
 
 1355 
 
 
 
 
 77 
 
 1470 
 
 1585 
 
 1700 
 
 18151 1930 
 
 2045 
 
 2160 
 
 2275 
 
 2390 
 
 2505 
 
 
 
 
 78 
 
 2620 
 
 2734 
 
 2849 
 
 2964 
 
 3079 
 
 3194 
 
 3309 
 
 3424 
 
 3539 
 
 3654 
 
 115 
 
 
 
 79 
 
 3769 
 
 3884 
 
 3999 
 
 4114 
 
 4229 
 
 454:j 
 
 41.58 
 
 4573 
 
 46S8 
 
 4803 
 
 
 
 
 3780 
 
 4918 
 
 5033 
 
 5148 
 
 5203 
 
 5378 
 
 -5492 
 
 5607 
 
 5722 
 
 5837 
 
 5952 
 
 
 
 
 81 
 
 6067 
 
 6182 
 
 6296 
 
 6411 
 
 6526 
 
 6641 
 
 6756 
 
 6871 
 
 6986 
 
 7100 
 
 
 
 
 82 
 
 7215 
 
 7330 
 
 7445 
 
 7560 
 
 7675 
 
 7789 
 
 7904- 
 
 8019 
 
 8134 
 
 8249 
 
 
 
 
 83 
 
 8363 
 
 8478 
 
 8593 
 
 8708 
 
 8823 
 
 8937 
 
 9052 
 
 9167 
 
 9282 
 
 9397 
 
 
 
 
 84 
 
 9511 
 
 9626 
 
 9741 
 
 9856 
 
 9970 
 
 0085 
 
 0200 
 
 0315 
 
 0429 
 
 0544 
 
 
 
 
 85 
 
 5780659 
 
 0774 
 
 0838 
 
 1003 
 
 J118 
 
 1233 
 
 1347 
 
 1462 
 
 1577 
 
 1691 
 
 
 
 
 86 
 
 1806 
 
 1921 
 
 2036 
 
 2150 
 
 2265 
 
 2380 
 
 2494 
 
 2609 
 
 2724 
 
 2838 
 
 
 
 
 87 
 
 2953 
 
 3068 
 
 3182 
 
 3297 
 
 3412 
 
 3526 
 
 3641 
 
 3756 
 
 3870 
 
 3985 
 
 
 
 
 88 
 
 4100 
 
 4214 
 
 4329 
 
 4444 
 
 4558 
 
 4673 
 
 4788 
 
 4902 
 
 5017 
 
 5131 
 
 
 
 
 89 
 
 5246 
 
 5361 
 
 5475 
 
 5590 
 
 5705 
 
 5819 
 
 5934 
 
 6048 
 
 6163 
 
 6278 
 
 
 
 
 3790 
 
 6392 
 
 6507 
 
 6621 
 
 6736 
 
 6850 
 
 6965 
 
 7080 
 
 7194 
 
 7309 
 
 7423 
 
 
 
 
 91 
 
 7538 
 
 7652 
 
 7767 
 
 7832 
 
 7996 
 
 8111 
 
 8225 
 
 831-0 
 
 84-54 
 
 8569 
 
 
 
 
 92 
 
 8683 
 
 S798 
 
 8912 
 
 9027 
 
 9141 
 
 9256 
 
 9370 
 
 9485 
 
 9599 
 
 9714 
 
 
 115 
 
 
 93 
 
 9828 
 
 9943 
 
 0057 
 
 0172 
 
 0286 
 
 0401 
 
 0515 
 
 0630 
 
 0744 
 
 0859 
 
 
 I 12 
 
 
 94 
 
 5790973 
 
 1088 
 
 1202 
 
 1317 
 
 1431 
 
 1546 
 
 1660 
 
 1774 
 
 1889 
 
 2003 
 
 
 2 23 
 
 3 35 
 
 
 95 
 
 2118 
 
 2232 
 
 2347 
 
 2461 
 
 2576 
 
 2690 
 
 2804 
 
 2919 
 
 3033 
 
 3148 
 
 
 4 46 
 
 
 96 
 
 3262 
 
 3376 
 
 3491 
 
 3605 
 
 3720 
 
 3834 
 
 3948 
 
 4063 
 
 4177 
 
 4292 
 
 
 5 58 
 
 
 97 
 
 4406 
 
 4520 
 
 4635 
 
 4749 
 
 4863 
 
 4978 
 
 5092 
 
 5207 
 
 5321 
 
 5435 
 
 
 6 69 
 
 7 81 
 
 8 92 
 
 
 98 
 
 5550 
 
 5664 
 
 5778 
 
 5893 
 
 6007 
 
 6121 
 
 6236 
 
 6350 
 
 61-64 
 
 6579 
 
 
 
 99 
 
 6693 
 
 6807 
 
 6922 
 
 7036 
 
 s 
 
 7150 
 
 4 
 
 7264- 
 
 5 
 
 7379 
 
 6' 
 
 74Q3 
 
 7 
 
 7607 
 8 
 
 7722 
 
 1) 
 
 9 104 
 
 
 
 
 "T 
 
 2 
 
 9 \ 
 
 
(62l 
 
 LOGARITHMS N. 38000 L. 579] 
 
 N. 
 
 3800 
 
 
 
 1 
 
 7950 
 
 2 
 8065 
 
 3 
 
 4 
 
 8293 
 
 5 
 
 8407 
 
 6 
 
 8522 
 
 7 
 
 8636 
 
 S 
 
 8750 
 
 9 
 
 8864 
 
 D 
 
 Pro. 
 
 5797836 
 
 8179 
 
 01 
 
 8979 
 
 9093 
 
 9207 
 
 9321 
 
 9436 
 
 9550 
 
 9664 
 
 9778 
 
 9893 
 
 0007 
 
 
 
 02 
 
 5800121 
 
 0235 
 
 0350 
 
 0464 
 
 0578 
 
 0692 
 
 0806 
 
 0921 
 
 1035 
 
 1149 
 
 
 115 
 
 03 
 
 1263 
 
 1377 
 
 1492 
 
 1606 
 
 1720 
 
 1834 
 
 1948 
 
 2063 
 
 2177 
 
 2291 
 
 
 1 12 
 
 04 
 
 2405 
 
 2519 
 
 2633 
 
 2748 
 
 2862 
 
 2976 
 
 3090 
 
 3204 
 
 3318 
 
 3432 
 
 114 
 
 2 23 
 
 3 35 
 
 05 
 
 3547 
 
 3661 
 
 3775 
 
 3889 
 
 4003 
 
 4117 
 
 4231 
 
 4346 
 
 4460 
 
 4574 
 
 
 4 46 
 
 06 
 
 4688 
 
 4802 
 
 4916 
 
 50S0 
 
 5144 
 
 5258 
 
 5372 
 
 5487 
 
 5601 
 
 5715 
 
 
 5 -58 
 
 07 
 
 5829 
 
 5943 
 
 6057 
 
 6171 
 
 6285 
 
 6399 
 
 6513 
 
 6627 
 
 6741 
 
 6855 
 
 
 6 69 
 
 7 81 
 
 8 92 
 
 08 
 
 6969 
 
 7083 
 
 7197 
 
 7312 
 
 7426 
 
 7540 
 
 7654 
 
 7768 
 
 7882 
 
 7996 
 
 
 09 
 
 8110 
 
 8224 
 
 8338 
 
 8452 
 
 8566 
 
 8680 
 
 8794 
 
 8908 
 
 9022 
 
 9136 
 
 
 9 104 
 
 3810 
 
 9250 
 
 9364 
 
 9478 
 
 9592 
 
 9706 
 
 9820 
 
 9934 
 
 (5048 
 
 0162 
 
 0276 
 
 
 
 11 
 
 5810389 
 
 0503 
 
 0617 
 
 0731 
 
 0845 
 
 0959 
 
 1073 
 
 1187 
 
 1301 
 
 1415 
 
 
 
 12 
 
 1529 
 
 1643 
 
 1757 
 
 1871 
 
 1985 
 
 2099 
 
 2212 
 
 2326 
 
 2440 
 
 2554 
 
 
 
 13 
 
 2668 
 
 2782 
 
 2896 
 
 3010 
 
 3124 
 
 3238 
 
 3351 
 
 3465 
 
 3579 
 
 3693 
 
 
 
 14 
 
 3807 
 
 3921 
 
 4035 
 
 4148 
 
 4262 
 
 4376 
 
 4490 
 
 4604 
 
 4718 
 
 4832 
 
 
 
 15 
 
 4945 
 
 5059 
 
 5173 
 
 5287 
 
 5401 
 
 5515 
 
 5628 
 
 5742 
 
 5856 
 
 5970 
 
 
 
 16 
 
 6084 
 
 6197 
 
 6311 
 
 6425 
 
 6539 
 
 6653 
 
 6766 
 
 6880 
 
 6994 
 
 7108 
 
 
 
 17 
 
 7222 
 
 7335 
 
 7449 
 
 7563 
 
 7677 
 
 7790 
 
 7904 
 
 8018 
 
 8132 
 
 8245 
 
 
 
 18 
 
 8359 
 
 8473 
 
 8587 
 
 8700 
 
 8814 
 
 8928 
 
 9042 
 
 9155 
 
 9269 
 
 9383 
 
 
 
 19 
 
 9497 
 
 9010 
 
 9724 
 
 9838 
 
 9951 
 
 S065 
 
 0179 
 
 0293 
 
 0406 
 
 0520 
 
 
 
 3820 
 
 5820634 
 
 0747 
 
 0861 
 
 0975 
 
 1088 
 
 1202 
 
 1316 
 
 1429 
 
 1543 
 
 1657 
 
 
 
 21 
 
 1770 
 
 1884 
 
 1998 
 
 2111 
 
 2225 
 
 2339 
 
 2452 
 
 2566 
 
 2680 
 
 2793 
 
 
 
 22 
 
 2907 
 
 3020 
 
 3134 
 
 3248 
 
 3361 
 
 3475 
 
 3589 
 
 3702 
 
 3816 
 
 3929 
 
 
 
 23 
 
 4043 
 
 4157 
 
 4270 
 
 4384 
 
 4497 
 
 4611 
 
 4725 
 
 4838 
 
 4952 
 
 5065 
 
 
 
 24 
 
 5179 
 
 5292 
 
 5406 
 
 5520 
 
 5633 
 
 5747 
 
 5860 
 
 5974 
 
 6087 
 
 6201 
 
 
 
 25 
 
 6314 
 
 6428 
 
 6541 
 
 6655 
 
 §769 
 
 6882 
 
 6996 
 
 7109 
 
 7223 
 
 7336 
 
 
 
 26 
 
 7450 
 
 7563 
 
 7677 
 
 7790 
 
 7904 
 
 8017 
 
 8131 
 
 8244 
 
 8358 
 
 8471 
 
 
 
 27 
 
 8585 
 
 8698 
 
 8812 
 
 8925 
 
 9039 
 
 9152 
 
 9265 
 
 9379 
 
 9492 
 
 9606 
 
 
 
 28 
 
 9719 
 
 9833 
 
 9946 
 
 oooo 
 
 0173 
 
 0287 
 
 0400 
 
 0513 
 
 0627 
 
 0740 
 
 
 
 29 
 
 5830854 
 
 0967 
 
 1081 
 
 1194 
 
 1307 
 
 1421 
 
 1534 
 
 1648 
 
 1761 
 
 1874 
 
 
 
 3830 
 
 1988 
 
 2101 
 
 2215 
 
 2328 
 
 2441 
 
 2555 
 
 2668 
 
 2781 
 
 2895 
 
 3008 
 
 
 
 31 
 
 3122 
 
 3235 
 
 3348 
 
 3462 
 
 3575 
 
 3688 
 
 3802 
 
 3915 
 
 4028 
 
 4142 
 
 
 
 32 
 
 4255 
 
 4368 
 
 4482 
 
 4595 
 
 4708 
 
 4822 
 
 4935 
 
 5048 
 
 5162 
 
 5275 
 
 
 
 33 
 
 5388 
 
 5501 
 
 5615 
 
 5728 
 
 5841 
 
 5955 
 
 6068 
 
 6181 
 
 6295 
 
 6408 
 
 
 
 34 
 
 6521 
 
 6634 
 
 6748 
 
 6861 
 
 6974 
 
 7087 
 
 7201 
 
 7314 
 
 7427 
 
 7540 
 
 
 
 35 
 
 7654 
 
 7767 
 
 7880 
 
 7993 
 
 8107 
 
 8220 
 
 8333 
 
 8446 
 
 8560 
 
 8673 
 
 
 
 36 
 
 8786 
 
 8899 
 
 9012 
 
 9126 
 
 9239 
 
 9352 
 
 9465 
 
 9578 
 
 9692 
 
 9805 
 
 
 
 37 
 
 9918 
 
 0031 
 
 0144 
 
 0258 
 
 0371 
 
 0484 
 
 0597 
 
 0710 
 
 0823 
 
 0937 
 
 
 
 38 
 
 5841050 
 
 1163 
 
 1276 
 
 1389 
 
 1502 
 
 1615 
 
 1729 
 
 1842 
 
 1955 
 
 2068 
 
 
 
 39 
 
 2181 
 
 2294 
 
 2407 
 
 2520 
 
 2634 
 
 2747 
 
 2860 
 
 2973 
 
 3086 
 
 3199 
 
 
 
 3840 
 
 3312 
 
 3425 
 
 3538 
 
 3652 
 
 3765 
 
 3878 
 
 3991 
 
 4104 
 
 4217 
 
 4330 
 
 
 
 ,41 
 
 4443 
 
 4556 
 
 4669 
 
 4782 
 
 4895 
 
 5008 
 
 5121 
 
 5234 
 
 5348 
 
 5461 
 
 
 
 42 
 
 5574 
 
 5687 
 
 5800 
 
 5913 
 
 6026 
 
 6139 
 
 6252 
 
 6365 
 
 6478 
 
 6591 
 
 
 114 
 
 43 
 
 6704 
 
 6817 
 
 6930 
 
 7043 
 
 7156 
 
 7269 
 
 7382 
 
 7495 
 
 7608 
 
 7721 
 
 113 
 
 1 11 
 
 44 
 
 7834 
 
 7947 
 
 8060 
 
 8173 
 
 8286 
 
 8399 
 
 8512 
 
 8625 
 
 8738 
 
 8850 
 
 
 2 23 
 
 3 34 
 
 45 
 
 8963 
 
 9076 
 
 9189 
 
 9302 
 
 9415 
 
 9528 
 
 9641 
 
 9754 
 
 9867 
 
 9980 
 
 
 4 46 
 
 46 
 
 5850093 
 
 0206 
 
 0319 
 
 0432 
 
 0544 
 
 0657 
 
 0770 
 
 0883 
 
 0996 
 
 1109 
 
 
 5 57 
 
 47 
 
 1222 
 
 1335 
 
 1448 
 
 1561 
 
 1673 
 
 1786 
 
 1899 
 
 2012 
 
 2125 
 
 2238 
 
 
 6 68 
 
 7 80 
 
 8 91 
 
 48 
 
 2351 
 
 2463 
 
 2576 
 
 2689 
 
 2802 
 
 2915 
 
 3028 
 
 3141 
 
 3253 
 
 3366 
 
 
 49 
 
 3479 
 
 3592 
 
 3705 
 2 
 
 3818 
 
 3930 
 
 4 
 
 4043 4156 
 
 4269 
 
 7 
 
 4382 
 
 8 
 
 4494 
 
 9 
 
 "D 
 
 9 10.3 
 
 Pts. 
 
 
 
 1 
 
 3 
 
 5 
 
 e 
 
N.3 
 
 8500 L. 585 of numbers. (63) 
 
 N. 
 
 3850 
 
 
 
 1 
 
 4720 
 
 2 
 
 4833 
 
 3 
 
 4946 
 
 4 
 
 5058 
 
 5 
 
 5171 
 
 6" 
 
 5284 
 
 7 
 
 5397 
 
 8 
 
 5510 
 
 9 
 
 5622 
 
 D 
 
 Pro. 
 
 5854607 
 
 51 
 
 5735 
 
 5848 
 
 5961 
 
 6073 
 
 6186 
 
 6299 
 
 6412 
 
 6525 
 
 6637 
 
 6750 
 
 
 113 
 
 52 
 
 6863 
 
 6976 
 
 7088 
 
 7201 
 
 7314 
 
 7426 
 
 7539 
 
 7652 
 
 7765 
 
 7877 
 
 
 1 11 
 
 53 
 
 7990 
 
 8103 
 
 8216 
 
 8328 
 
 8441 
 
 8554 
 
 8666 
 
 8779 
 
 8892 
 
 9004 
 
 
 2 23 
 
 3 34 
 
 4 45 
 
 54 
 
 9117 
 
 9230 
 
 9342 
 
 9455 
 
 9568 
 
 9681 
 
 9793 
 
 9906 
 
 0019 
 
 0131 
 
 
 55 
 
 5860244 
 
 0356 
 
 0469 
 
 058.2 
 
 0694 
 
 0807 
 
 0920 
 
 1032 
 
 1145 
 
 1258 
 
 
 5 57 
 
 56 
 
 1370 
 
 1483 
 
 1596 
 
 1708 
 
 1821 
 
 1933 
 
 2046 
 
 2159 
 
 2271 
 
 2384 
 
 
 6 68 
 
 7 79 
 
 8 90 
 
 57 
 
 2490 
 
 2609 
 
 2722 
 
 2834 
 
 2947 
 
 3059 
 
 3172 
 
 3285 
 
 3397 
 
 3510 
 
 
 58 
 
 3622 
 
 3735 
 
 3847 
 
 3960 
 
 4072 
 
 41 &5 
 
 4298 
 
 4410 
 
 4523 
 
 4635 
 
 
 9 102 
 
 59 
 
 4748 
 
 4860 
 
 4973 
 
 5085 
 
 5198 
 
 5310 
 
 5423 
 
 5535 
 
 5648 
 
 5761 
 
 
 
 3860 
 
 5873 
 
 5986 
 
 6098 
 
 6211 
 
 6323 
 
 6436 
 
 6548 
 
 6661 
 
 6773 
 
 6886 
 
 
 
 61 
 
 6998 
 
 7110 
 
 7223 
 
 7335 
 
 7448 
 
 7560 
 
 7673 
 
 7785 
 
 7898 
 
 8010 
 
 
 
 62 
 
 8123 
 
 8235 
 
 8348 
 
 8460 
 
 8572 
 
 8685 
 
 8797 
 
 8910 
 
 9022 
 
 9135 
 
 
 
 63 
 
 9247 
 
 9360 
 
 9472 
 
 9584 
 
 9697 
 
 9809 
 
 9922 
 
 0034 
 
 0146 
 
 0259 
 
 
 
 64 
 
 5870371 
 
 0484 
 
 0596 
 
 0708 
 
 0821 
 
 0933 
 
 1045 
 
 1158 
 
 1270 
 
 1383 
 
 
 
 65 
 
 1495 
 
 1607 
 
 1720 
 
 1832 
 
 1944 
 
 2057 
 
 2169 
 
 2281 
 
 2394 
 
 2506 
 
 
 
 66 
 
 2618 
 
 2731 
 
 2843 
 
 2955 
 
 3068 
 
 3180 
 
 3292 
 
 3405 
 
 3517 
 
 3629 
 
 
 
 67 
 
 3742 
 
 3854 
 
 3966 
 
 4079 
 
 4191 
 
 4303 
 
 4416 
 
 4528 
 
 4640 
 
 4752 
 
 
 
 68 
 
 4865 
 
 4977 
 
 50891 
 
 5201 
 
 5314 
 
 5426 
 
 5538 
 
 5651 
 
 5763 
 
 5875 
 
 
 
 69 
 
 5987 
 
 6100 
 
 6212 
 
 6324 
 
 6436 
 
 6549 
 
 6661 
 
 6773 
 
 6885 
 
 6997 
 
 
 
 3870 
 
 7110 
 
 .7222 
 
 7334 
 
 7446 
 
 7559 
 
 7671 
 
 7783 
 
 7895 
 
 8007 
 
 8120 
 
 
 
 71 
 
 8232 
 
 8344 
 
 8456 
 
 8568 
 
 8680 
 
 8793 
 
 8905 
 
 9017 
 
 9129 
 
 9241 
 
 
 
 72 
 
 9353 
 
 9466 
 
 9578 
 
 9690 
 
 9802 
 
 9914 
 
 0026 
 
 0139 
 
 0251 
 
 0363 
 
 
 
 73 
 
 5880475 
 
 0587 
 
 0699 
 
 0811 
 
 0923 
 
 1036 
 
 1148 
 
 1260 
 
 1372 
 
 1484 
 
 
 
 74 
 
 1596 
 
 1708 
 
 1820 
 
 1932 
 
 2045 
 
 2157 
 
 2269 
 
 2381 
 
 2493 
 
 2605 
 
 
 
 75 
 
 2717 
 
 2829 
 
 2941 
 
 3053 
 
 3165 
 
 3277 
 
 3389 
 
 3502 
 
 3614 
 
 3726 
 
 
 
 76 
 
 3838 
 
 3950 
 
 4062 
 
 4174 
 
 4286 
 
 4398 
 
 4510 
 
 4622 
 
 4734 
 
 4846 
 
 112 
 
 
 77 
 
 4958 
 
 5070 
 
 5182 
 
 5294 
 
 5406 
 
 5518 
 
 5630 
 
 5742 
 
 5854 
 
 5966 
 
 
 
 78 
 
 6078 
 
 6190 
 
 6302 
 
 6414 
 
 6526 
 
 6638 
 
 6750 
 
 6862 
 
 6974 
 
 7086 
 
 
 
 79 
 
 7198 
 
 7310 
 
 7422 
 
 7534 
 
 7646 
 
 7758 
 
 7870 
 
 7981 
 
 8093 
 
 8205 
 
 
 
 3880 
 
 8317 
 
 8429 
 
 8541 
 
 8653 
 
 8765 
 
 8877 
 
 8989 
 
 9101 
 
 9213 
 
 9325 
 
 
 
 81 
 
 9436 
 
 9548 
 
 9660 
 
 9772 
 
 9884 
 
 9996 
 
 S108 
 
 0220 
 
 0332 
 
 0443 
 
 
 
 82 
 
 5890555 
 
 0667 
 
 0779 
 
 0891 
 
 1003 
 
 1115 
 
 1227 
 
 1338 
 
 1450 
 
 1562 
 
 
 
 83 
 
 1674 
 
 1786 
 
 1898 
 
 2009 
 
 2121 
 
 2233 
 
 2345 
 
 2457 
 
 2569 
 
 2680 
 
 
 
 84 
 
 2792 
 
 2904 
 
 3016 
 
 3128 
 
 3239 
 
 3351 
 
 3463 
 
 3575 
 
 3687 
 
 3798 
 
 
 
 85 
 
 3910 
 
 4022 
 
 4134 
 
 4246 
 
 4357 
 
 4469 
 
 4581 
 
 4693 
 
 4804 
 
 4916 
 
 
 
 86 
 
 5028 
 
 5140 
 
 5251 
 
 5363 
 
 5475 
 
 5587 
 
 5698 
 
 5810 
 
 5922 
 
 6034 
 
 
 
 87 
 
 6145 
 
 6257 
 
 6369 
 
 6481 
 
 6592 
 
 6704 
 
 6816 
 
 6927 
 
 7039 
 
 7151 
 
 
 
 88 
 
 7263 
 
 7374 
 
 7486 
 
 7598 
 
 7709 
 
 7821 
 
 7933 
 
 8044 
 
 8156 
 
 8268 
 
 
 
 8y 
 
 8379 
 
 8491 
 
 8603 
 
 8714 
 
 8826 
 
 8938 
 
 9049 
 
 9161 
 
 9273 
 
 9384 
 
 
 
 3890 
 
 9496 
 
 9608 
 
 9719 
 
 9831 
 
 9943 
 
 0054 
 
 0166 
 
 0277 
 
 0389 
 
 0501 
 
 
 
 91 
 
 5900612 
 
 0724 
 
 0836 
 
 0947 
 
 1059 
 
 1170 
 
 1282 
 
 1394 
 
 1505 
 
 1617 
 
 
 
 92 
 
 1728 
 
 1840 
 
 1951 
 
 2063 
 
 2175 
 
 2286 
 
 2398 
 
 2509 
 
 2621 
 
 2732 
 
 
 112 
 
 93 
 
 2844 
 
 2956 
 
 3067 
 
 3179 
 
 3290 
 
 3402 
 
 3513 
 
 3625 
 
 3736 
 
 3848 
 
 
 1 11 
 
 94 
 
 3959 
 
 4071 
 
 4183 
 
 4294 
 
 4406 
 
 4517 
 
 4629 
 
 4740 
 
 4852 
 
 4963 
 
 
 2 22 
 
 3 34 
 
 95 
 
 5075 
 
 5186 
 
 5298 
 
 5409 
 
 5521 
 
 5632 
 
 5744 
 
 5855 
 
 5967 
 
 6078 
 
 
 4 45 
 
 96 
 
 6189 
 
 6301 
 
 6412 
 
 6524 
 
 6635 
 
 6747 
 
 6858 
 
 6970 
 
 7081 
 
 7193 
 
 
 5 56 
 
 97 
 
 7304 
 
 7415 
 
 7527 
 
 7638 
 
 7750 
 
 7861 
 
 7973 
 
 8084 
 
 8196 
 
 8307 
 
 
 6 67 
 
 7 78 
 
 8 90 
 
 98 
 
 8418 
 
 8530 
 
 8641 
 
 8753 
 
 8864 
 
 8975 
 
 9087 
 
 91^ 
 
 9310 
 
 9421 
 
 
 99 
 
 9532 
 
 9644 
 
 1 
 
 9755 
 
 2 
 
 9866 
 
 3 
 
 9978 
 
 4 
 
 0089 
 
 5 
 
 0201 
 
 6 
 
 0312 
 
 7 
 
 0423 
 8 
 
 0535 
 
 9 
 
 D 
 
 9 101 
 
 Pts. 
 
 N. 
 
 
 
(64) 
 
 LOGARITHMS N. 39000 L. 59 1 
 
 N. 
 
 3900 
 
 
 
 1 
 0757 
 
 0869 
 
 3 
 
 0980 
 
 4 
 
 109 1 
 
 6 
 
 1203 
 
 6* 
 
 1314 
 
 7 
 
 I ¥26 
 
 8 
 
 1537 
 
 9 
 
 1648 
 
 D 
 
 i^ro. 
 
 5910646 
 
 01 
 
 1760 
 
 1871 
 
 1982 
 
 2093 
 
 2205 
 
 2316 
 
 2427 
 
 2539* 
 
 '2650 
 
 2761 
 
 
 M2 
 
 02 
 
 2873 
 
 2984 
 
 3095 
 
 3207 
 
 3318 
 
 3429 
 
 3510 
 
 3652 
 
 3763 
 
 3874 
 
 
 1 11 
 
 03 
 
 3986 
 
 4097 
 
 4208 
 
 4319 
 
 4431 
 
 4542 
 
 4653 
 
 4764 
 
 4876 
 
 4987 
 
 
 2 22 
 
 3 34 
 
 4 45 
 
 04 
 
 5098 
 
 5209 
 
 5321 
 
 5432 
 
 5543 
 
 5654 
 
 5765 
 
 5877 
 
 5988 
 
 6099 
 
 
 05 
 
 6210 
 
 6322 
 
 6433 
 
 6544 
 
 6655 
 
 6766 
 
 6878 
 
 6989 
 
 7100 
 
 7211 
 
 
 5 56 
 
 06 
 
 7322 
 
 7431- 
 
 7545 
 
 7656 
 
 7767 
 
 7878 
 
 7989 
 
 8101 
 
 8212 
 
 8323 
 
 
 6 67 
 
 7 78 
 P 90 
 
 07 
 
 8434 
 
 8545 
 
 8656 
 
 8768 
 
 8879 
 
 8990 
 
 9101 
 
 9212 
 
 9323 
 
 9434 
 
 
 08 
 
 9546 
 
 9657 
 
 9768 
 
 9879 
 
 9990 
 
 OlOl 
 
 0212 
 
 0323 
 
 0434 
 
 0546 
 
 
 9 10) 
 
 09 
 
 5920657 
 
 0768 
 
 0879 
 
 0990 
 
 1101 
 
 1212 
 
 1323 
 
 1434 
 
 1545 
 
 1656 
 
 
 
 3910 
 
 1768 
 
 1879 
 
 1990 
 
 2101 
 
 2212 
 
 2323 
 
 2434 
 
 2545 
 
 2656 
 
 2767 
 
 
 
 11 
 
 2878 
 
 2989 
 
 3100 
 
 3211 
 
 3322 
 
 3433 
 
 3544 
 
 3655 
 
 3766 
 
 3877 
 
 111 
 
 
 12 
 
 3988 
 
 4099 
 
 4210 
 
 4321 
 
 4433 
 
 4544 
 
 4655 
 
 4766 
 
 4876 
 
 4987 
 
 
 
 13 
 
 5098 
 
 5209 
 
 5320 
 
 5431 
 
 5542 
 
 5653 
 
 5764 
 
 5875 
 
 5986 
 
 6097 
 
 
 
 14 
 
 6208 
 
 6319 
 
 6430 
 
 6541 
 
 6652 
 
 6763 
 
 6874 
 
 6985 
 
 7096 
 
 7207 
 
 
 
 15 
 
 7318 
 
 7429 
 
 7540 
 
 7650 
 
 7761 
 
 7872 
 
 7983 
 
 8094 
 
 8205 
 
 8316 
 
 
 
 16 
 
 8427 
 
 8538 
 
 8649 
 
 8760 
 
 8870 
 
 8981 
 
 9092 
 
 9203 
 
 9314 
 
 9425 
 
 
 
 17 
 
 9536 
 
 9647 
 
 9757 
 
 9868 
 
 9979 
 
 0090 
 
 0201 
 
 0312 
 
 0423 
 
 0533 
 
 
 
 18 
 
 5930644 
 
 0755 
 
 0866 
 
 0977 
 
 1088 
 
 1199 
 
 1309 
 
 1420 
 
 1531 
 
 1642 
 
 
 
 19 
 
 1753 
 
 1863 
 
 1974 
 
 2085 
 
 2196 
 
 2307 
 
 2417 
 
 2528 
 
 2639 
 
 2750 
 
 
 
 3920 
 
 2861 
 
 2971 
 
 3082 
 
 31Q3 
 
 3304 
 
 3415 
 
 3525 
 
 3636 
 
 3747 
 
 3858 
 
 
 
 21 
 
 3968 
 
 4079 
 
 4190 
 
 4301 
 
 4411 
 
 4522 
 
 4633 
 
 4744 
 
 4854 
 
 4965 
 
 
 
 22 
 
 5076 
 
 5187 
 
 5297 
 
 5408 
 
 5519 
 
 5630 
 
 5740 
 
 5851 
 
 5962 
 
 6072 
 
 
 
 23 
 
 6183 
 
 6294 
 
 6404 
 
 6515 
 
 6626 
 
 6737 
 
 6847 
 
 6958 
 
 7069 
 
 7179 
 
 
 
 24 
 
 7290 
 
 7401 
 
 7511 
 
 7622 
 
 7733 
 
 7843 
 
 7954 
 
 8065 
 
 8175 
 
 8286 
 
 
 
 25 
 
 8397 
 
 8507 
 
 8618 
 
 8729 
 
 8839 
 
 8950 
 
 9060 
 
 9171 
 
 9282 
 
 9392 
 
 
 
 26 
 
 9503 
 
 9614 
 
 9724 
 
 98.*i5 
 
 9945 
 
 OO06 
 
 0167 
 
 0277 
 
 0388 
 
 0498 
 
 
 
 27 
 
 5940609 
 
 0720 
 
 0830 
 
 0941 
 
 1051 
 
 1162 
 
 1273 
 
 1383 
 
 1494 
 
 1604 
 
 
 
 28 
 
 1715 
 
 1825 
 
 1936 
 
 2046 
 
 2157 
 
 2268 
 
 2378 
 
 2489 
 
 2599 
 
 2710 
 
 
 
 29: 
 
 2820 
 
 2931 
 
 3041 
 
 3152 
 
 3262 
 
 3373 
 
 3483 
 
 3594 
 
 3704 
 
 3815 
 
 
 
 3930 
 
 3926 
 
 4036 
 
 4147 
 
 4257 
 
 4368 
 
 4478 
 
 4588 
 
 4699 
 
 4809 
 
 4920 
 
 
 
 31 
 
 5050 
 
 5141 
 
 5251 
 
 5362 
 
 5472 
 
 5583 
 
 56-)3 
 
 5804 
 
 5914 
 
 6025 
 
 
 
 32 
 
 6135 
 
 6246 
 
 6356 
 
 6466 
 
 6577 
 
 6687 
 
 6798 
 
 6906 
 
 7019 
 
 7129 
 
 
 
 33 
 
 7239 
 
 7350 
 
 7460 
 
 7571 
 
 7681 
 
 7792 
 
 7902 
 
 8012 
 
 8123 
 
 8233 
 
 
 
 34 
 
 8344 
 
 8454 
 
 8564 
 
 8675 
 
 8785 
 
 8895 
 
 9006 
 
 9116 
 
 9227 
 
 9337 
 
 
 
 55 
 
 9447 
 
 9558 
 
 9668 
 
 9778 
 
 9889 
 
 9999 
 
 0110 
 
 0220 
 
 0330 
 
 0441 
 
 
 
 36 
 
 5950551 
 
 0661 
 
 0772 
 
 0882 
 
 0992 
 
 1103 
 
 1213 
 
 1323 
 
 1434 
 
 1544 
 
 
 
 37 
 
 1654 
 
 1764 
 
 1875 
 
 1985 
 
 2095 
 
 2206 
 
 2316 
 
 2426 
 
 2537 
 
 2647 
 
 
 
 38 
 
 2757 
 
 2867 
 
 2978 
 
 3088 
 
 3198 
 
 3308 
 
 3419 
 
 3529 
 
 3639 
 
 3750 
 
 
 
 39 
 
 3S60 
 
 3970 
 
 4O80 
 
 4191 
 
 4301 
 
 4411 
 
 4521 
 
 4632 
 
 4742 
 
 4852 
 
 
 
 3940 
 
 4962 
 
 5072 
 
 5183 
 
 5293 
 
 5403 
 
 5513 
 
 5624 
 
 5734 
 
 5844 
 
 5954 
 
 
 
 41 
 
 6064 
 
 6175 
 
 6285 
 
 6395 
 
 6505 
 
 6615 
 
 6725 
 
 6836 
 
 6946 
 
 7056 
 
 
 
 42 
 
 7166 
 
 7276 
 
 7387 
 
 7497 
 
 7607 
 
 7717 
 
 7827 
 
 7937 
 
 «047 
 
 8158 
 
 
 111 
 
 43 
 
 8268 
 
 8378 
 
 8488 
 
 8598 
 
 8708 
 
 8818 
 
 8929 
 
 9039 
 
 9149 
 
 9259 
 
 
 1 11 
 
 44 
 
 mm 
 
 9479 
 
 9589 
 
 9699 
 
 9810 
 
 9920 
 
 00 J 
 
 0140 
 
 0250 
 
 0360 
 
 
 2 22 
 
 3 33 
 
 : 45 
 
 5960470 
 
 0580 
 
 0690 
 
 0800 
 
 0910 
 
 1020 
 
 1131 
 
 1241 
 
 1351 
 
 1461 
 
 
 4 44 
 
 46 
 
 1571 
 
 1681 
 
 1791 
 
 1901 
 
 2011 
 
 2121 
 
 2231 
 
 2341 
 
 2451 
 
 2561 
 
 110 
 
 5 56 
 
 47 
 
 2671 
 
 2781 
 
 2891 
 
 3001 
 
 3111 
 
 3221 
 
 3331 
 
 3441 
 
 3551 
 
 3661 
 
 6 67 
 
 7 78 
 
 8 89 
 
 43 
 
 3771 
 
 3881 
 
 3991 
 
 4101 
 
 4211 
 
 4321 
 
 4431 
 
 4541 
 
 4651 
 
 4761 
 
 
 49 
 
 4871 
 
 4981 
 
 5091 
 
 5201 
 
 s 
 
 5311 
 
 4 
 
 5421 
 5 
 
 5531 
 
 6 
 
 5641 
 
 7 
 
 5751 
 8 
 
 5861 
 
 9 
 
 D 
 
 9 100 
 Pts. 
 
 N. 
 
 
 
 1 
 
N. 39500 L.596 of numbers. (65) 
 
 N. 
 
 3950 
 
 
 
 1 
 
 6081 
 
 2 
 
 3 
 
 6301 
 
 4 
 6411 
 
 5 
 
 6521 
 
 6 
 
 6631 
 
 7 
 
 6741 
 
 8 
 
 6850 
 
 9 
 
 6960 
 
 D 
 
 Pro. 
 
 5965971 
 
 6191 
 
 51 
 
 7070 
 
 7180 
 
 7290 
 
 7400 
 
 7510 
 
 7620 
 
 773C 
 
 784C 
 
 7950 
 
 8059 
 
 
 110 
 
 52 
 
 8169 
 
 8279 
 
 8389 
 
 8499 
 
 8609 
 
 8719 
 
 8829 
 
 8Q39 
 
 9048 
 
 9158 
 
 
 1 11 
 
 , 53 
 
 9268 
 
 9378 
 
 9488 
 
 9598 
 
 9708 
 
 9817 
 
 9927 
 
 0037 
 
 0147 
 
 0257 
 
 
 2 22 
 
 3 33 
 
 4 44 
 
 ' 54 
 
 5970367 
 
 0476 
 
 0586 
 
 0696 
 
 0806 
 
 0916 
 
 1026 
 
 1135 
 
 1245 
 
 1355 
 
 
 55 
 
 1465 
 
 1575 
 
 1684 
 
 1794 
 
 1 904 
 
 2014 
 
 2124 
 
 2233 
 
 2343 
 
 2453 
 
 
 5 55 
 
 56 
 
 2563 
 
 2673 
 
 2782 
 
 2892 
 
 3002 
 
 3112 
 
 5221 
 
 3331 
 
 3441 
 
 355} 
 
 
 6 66 
 
 7 77 
 
 8 88 
 
 51 
 
 3661 
 
 3770 
 
 3880 
 
 3990 
 
 4099 
 
 4209 
 
 4319 
 
 4429 
 
 4538 
 
 4648 
 
 
 58 
 
 4758 
 
 4868 
 
 4977 
 
 5087 
 
 5197 
 
 5306 
 
 5416 
 
 5526 
 
 5636 
 
 5745 
 
 
 9 99 
 
 59 
 
 5855 
 
 5965 
 
 6074 
 
 6184 
 
 6294 
 
 6403 
 
 6513 
 
 6623 
 
 6733 
 
 6842 
 
 
 
 3960 
 
 6952 
 
 7062 
 
 7171 
 
 7281 
 
 7391 
 
 7500 
 
 7610 
 
 7719 
 
 7829 
 
 7939 
 
 
 
 61 
 
 8048 
 
 8158 
 
 8268 
 
 8377 
 
 8487 
 
 8597 
 
 8706 
 
 8816 
 
 8925 
 
 9035 
 
 
 
 62 
 
 9145 
 
 9254 
 
 9364 
 
 9474 
 
 9583 
 
 9693 
 
 9802 
 
 9912 
 
 0022 
 
 0131 
 
 
 
 63 
 
 5980241 
 
 0350 
 
 0460 
 
 0569 
 
 0679 
 
 0789 
 
 0898 
 
 1008 
 
 1117 
 
 1227 
 
 
 
 64 
 
 1336 
 
 1446 
 
 1556 
 
 1665 
 
 1775 
 
 1884 
 
 1994 
 
 2103 
 
 2213 
 
 2322 
 
 
 
 65 
 
 2432 
 
 2541 
 
 2651 
 
 2761 
 
 2870 
 
 2980 
 
 3089 
 
 3199 
 
 3308 
 
 3418 
 
 
 
 66 
 
 3527 
 
 3637 
 
 3746 
 
 3856 
 
 3965 
 
 4075 
 
 4184 
 
 4294 
 
 4403 
 
 4513 
 
 
 
 67 
 
 4622 
 
 4731 
 
 4841 
 
 4950 
 
 5060 
 
 5169 
 
 5279 
 
 5388 
 
 5498 
 
 5607 
 
 
 
 68 
 
 5717 
 
 5826 
 
 5936 
 
 6045 
 
 6154 
 
 6264 
 
 6373 
 
 6483 
 
 6592 
 
 6702 
 
 
 
 69 
 
 6811 
 
 6920 
 
 7030 
 
 7139 
 
 7249 
 
 7358 
 
 7467 
 
 7577 
 
 7686 
 
 7796 
 
 
 
 3970 
 
 7905- 
 
 8014 
 
 8124 
 
 8233 
 
 8343 
 
 8452 
 
 8561 
 
 8671 
 
 8780 
 
 8890 
 
 
 
 71 
 
 8999 
 
 9108 
 
 9218 
 
 9327 
 
 9436 
 
 9546 
 
 9655 
 
 9764 
 
 9874 
 
 9983 
 
 
 
 7? 
 
 5990092 
 
 0202 
 
 0311 
 
 0420 
 
 0530 
 
 0639 
 
 0748 
 
 0858 
 
 0967 
 
 1076 
 
 
 
 7'3 
 
 1186 
 
 1295 
 
 1404 
 
 1514 
 
 1623 
 
 1732 
 
 1841 
 
 1951 
 
 2060 
 
 2169 
 
 
 
 74 
 
 2279 
 
 2388 
 
 2497 
 
 2606 
 
 2716 
 
 2825 
 
 2934 
 
 3044 
 
 3153 
 
 3262 
 
 
 
 75 
 
 3371 
 
 3481 
 
 3590 
 
 3699 
 
 3808 
 
 3918 
 
 4027 
 
 4136 
 
 4245 
 
 4355 
 
 
 
 76 
 
 4464 
 
 4573 
 
 4682 
 
 4791 
 
 4901 
 
 5010 
 
 5119 
 
 5228 
 
 5338 
 
 5447 
 
 
 
 77 
 
 5556 
 
 5665 
 
 5774 
 
 5884 
 
 5993 
 
 6102 
 
 6211 
 
 6320 
 
 6429 
 
 6539 
 
 
 
 78 
 
 6648 
 
 6757 
 
 6866 
 
 69l5 
 
 7084 
 
 7194 
 
 7303 
 
 7412 
 
 7521 
 
 7630 
 
 
 
 79 
 
 7739 
 
 7849 
 
 7958 
 
 8067 
 
 8176 
 
 8285 
 
 8394 
 
 8503 
 
 8612 
 
 8722 
 
 
 
 3980 
 
 8831 
 
 8940 
 
 9049 
 
 9158 
 
 9267 
 
 9376 
 
 9485 
 
 9594 
 
 9704 
 
 9813 
 
 
 
 81 
 
 9922 
 
 0031 
 
 0140 
 
 0249 
 
 0358 
 
 0467 
 
 0576 
 
 0685 
 
 0794 
 
 0903 
 
 
 
 82 
 
 6001013 
 
 1122 
 
 1231 
 
 1340 
 
 1449 
 
 1558 
 
 1667 
 
 1776 
 
 1885 
 
 1994 
 
 
 
 83 
 
 2103 
 
 2212 
 
 2321 
 
 2430 
 
 2539 
 
 2648 
 
 2757 
 
 2866 
 
 2975 
 
 3084 
 
 109 
 
 
 84 
 
 3193 
 
 3302 
 
 3411 
 
 3520 
 
 3629 
 
 3738 
 
 3847 
 
 3956 
 
 4065 
 
 4174 
 
 
 
 85 
 
 4283 
 
 4392 
 
 4501 
 
 4610 
 
 4719 
 
 4828 
 
 4937 
 
 5046 
 
 5155 
 
 5264 
 
 
 
 86 
 
 5873 
 
 5482 
 
 5591 
 
 5700 
 
 5 809 
 
 5918 
 
 6027 
 
 6136 
 
 6244 
 
 6353 
 
 
 
 87 
 
 6462 
 
 6571 
 
 6680 
 
 6789 
 
 6898 
 
 7007 
 
 7116 
 
 7225 
 
 7334 
 
 7443 
 
 
 
 88 
 
 7551 
 
 7660 
 
 7769 
 
 7878 
 
 7987 
 
 8096 
 
 8205 
 
 8314 
 
 8423 
 
 8531 
 
 
 
 89 
 
 8640 
 
 8749 
 
 8858 
 
 8967 
 
 9076 
 
 9185 
 
 9294 
 
 9402 
 
 9511 
 
 9620 
 
 
 
 3990 
 
 9729 
 
 9838 
 
 9947 
 
 0055 
 
 0164 
 
 0273 
 
 0382 
 
 0491 
 
 0600 
 
 0708 
 
 
 
 91 
 
 6010817 
 
 0926 
 
 1035 
 
 1144 
 
 1253 
 
 1361 
 
 1470 
 
 1579 
 
 1688 
 
 1797 
 
 
 
 92 
 
 1905 
 
 2014 
 
 2123 
 
 2232 
 
 2340 
 
 2449 
 
 2558 
 
 5667 
 
 2776 
 
 2884 
 
 
 109 
 
 93 
 
 2993 
 
 3102 
 
 3211 
 
 3319 
 
 3428 
 
 3537 
 
 3646 
 
 3754 
 
 3863 
 
 3972 
 
 
 1 11 
 
 94 
 
 4081 
 
 4189 
 
 4298 
 
 4407 
 
 4516 
 
 4624 
 
 4733 
 
 4842 
 
 4950 
 
 5059 
 
 
 2 22 
 
 3 33 
 
 4 44 
 
 95 
 
 5168 
 
 5277 
 
 5385 
 
 5494 
 
 5603 
 
 5711 
 
 5820 
 
 5929 
 
 6037 
 
 6146 
 
 
 96 
 
 6255 
 
 6363 
 
 6472 
 
 6581 
 
 6690 
 
 6798 
 
 6907 
 
 7016 
 
 7124 
 
 7233 
 
 
 5 55 
 
 97 
 
 7341 
 
 7450 
 
 7559 
 
 7667 
 
 7776 
 
 7885 
 
 7993 
 
 8102 
 
 8211 
 
 8319 
 
 
 6 65 
 
 7 76 
 
 8 87 
 
 98 
 
 8428 
 
 8537 
 
 8645 
 
 8754 
 
 8862 
 
 8971 
 
 9080 
 
 9188 
 
 9297 
 
 9405 
 
 
 99 
 
 N. 
 
 9514 
 
 9623 
 
 9731 
 
 2~ 
 
 9840 
 
 ~3~ 
 
 9948 
 
 4 
 
 C057 
 
 5 
 
 0166 
 
 ~6~ 
 
 0274 
 
 ~7" 
 
 0383 
 8 
 
 0491 
 
 D ] 
 
 9 98 
 
 
 
 Pts. 
 
 2K 
 
(66) 
 
 LOGARITHMS N. 40000 L. 602| 
 
 N. 
 
 4000 
 
 
 
 1 
 
 0708 
 
 2 
 
 0817 
 
 3 
 
 0926 
 
 4 
 1034 
 
 5 
 
 1143 
 
 6 
 
 1251 
 
 7 
 
 1360 
 
 8 
 
 1468 
 
 9 
 
 1577 
 
 D 
 
 Pro. 
 
 6020600 
 
 01 
 
 1686 
 
 1794 
 
 1903 
 
 2011 
 
 2120 
 
 2228 
 
 2337 
 
 2445 
 
 2554 
 
 2662 
 
 
 109 
 
 02 
 
 2771 
 
 2879 
 
 2988 
 
 3096 
 
 3205 
 
 3313 
 
 3422 
 
 3530 
 
 3639 
 
 3747 
 
 
 1 11 
 
 03 
 
 3856 
 
 3964 
 
 4073 
 
 4181 
 
 4290 
 
 4398 
 
 4507 
 
 4615 
 
 4724 
 
 4832 
 
 
 2 22 
 
 3 33 
 
 4 44 
 
 04 
 
 4941 
 
 5049 
 
 5158 
 
 5266 
 
 5375 
 
 5483 
 
 5591 
 
 5700 
 
 5808 
 
 5917 
 
 
 05 
 
 6025 
 
 6134- 
 
 6242 
 
 6351 
 
 6459 
 
 6567 
 
 6676 
 
 6784 
 
 6893 
 
 7001 
 
 
 5 55 
 
 06 
 
 7109 
 
 7218 
 
 7326 
 
 7435 
 
 7543 
 
 7651 
 
 7760 
 
 7868 
 
 7977 
 
 8085 
 
 
 6 65 
 
 7 76 
 
 8 87 
 
 07 
 
 8193 
 
 8302 
 
 8410 
 
 8519 
 
 8627 
 
 8735 
 
 8844 
 
 8952 
 
 9060 
 
 9169 
 
 
 08 
 
 9277 
 
 9385 
 
 9494 
 
 9602 
 
 9711 
 
 9819 
 
 9927 
 
 0036 
 
 0144 
 
 0252 
 
 
 9 98 
 
 09 
 
 6030361 
 
 0469 
 
 0577 
 
 0686 
 
 0794 
 
 0902 
 
 1010 
 
 1119 
 
 1227 
 
 1335 
 
 
 
 4010 
 
 1444 
 
 1552 
 
 1660 
 
 1769 
 
 1877 
 
 1985 
 
 2093 
 
 2202 
 
 2310 
 
 2418 
 
 
 
 II 
 
 2527 
 
 2635 
 
 2743 
 
 2851 
 
 2960 
 
 3068 
 
 3176 
 
 3284 
 
 3393 
 
 3501 
 
 
 
 12 
 
 3609 
 
 3717 
 
 3826 
 
 3934 
 
 4042 
 
 4150 
 
 4259 
 
 4367 
 
 4475 
 
 4583 
 
 
 
 13 
 
 4692 
 
 4800 
 
 4908 
 
 5016 
 
 5124 
 
 5233 
 
 5341 
 
 5449 
 
 5557 
 
 5665 
 
 
 
 14 
 
 5774 
 
 5882 
 
 5990 
 
 6098 
 
 6206 
 
 6315 
 
 6423 
 
 6531 
 
 6639 
 
 6747 
 
 
 
 15 
 
 6855 
 
 6964 
 
 7072 
 
 7180 
 
 7288 
 
 7396 
 
 7504 
 
 7613 
 
 7721 
 
 7829 
 
 
 
 16 
 
 7937 
 
 8045 
 
 8153 
 
 8261 
 
 8370 
 
 8478 
 
 8586 
 
 8694 
 
 S802 
 
 8910 
 
 
 
 17 
 
 9018 
 
 9126 
 
 9235 
 
 9343 
 
 9451 
 
 9559 
 
 9667 
 
 9775 
 
 9883 
 
 9991 
 
 
 
 18 
 
 6040099 
 
 0207 
 
 0315 
 
 0424 
 
 0532 
 
 0640 
 
 0748 
 
 0856 
 
 0964 
 
 1072 
 
 
 
 19 
 
 1180 
 
 1288 
 
 1396 
 
 1504 
 
 1612 
 
 1720 
 
 1828 
 
 1936 
 
 2044 
 
 2152 
 
 
 
 4020 
 
 2261 
 
 2369 
 
 2477 
 
 2585 
 
 2693 
 
 2801 
 
 2909 
 
 3017 
 
 3125 
 
 3233 
 
 
 
 21 
 
 3341 
 
 3449 
 
 3557 
 
 3665 
 
 3773 
 
 3881 
 
 3989 
 
 4097 
 
 4205 
 
 4313 
 
 108 
 
 
 22 
 
 4421 
 
 4529 
 
 4637 
 
 4745 
 
 4853 
 
 4961 
 
 5068 
 
 5176 
 
 5284 
 
 5392 
 
 
 
 23 
 
 5500 
 
 5608 
 
 5716 
 
 5824 
 
 5932 
 
 6040 
 
 6148 
 
 6256 
 
 6364 
 
 6472 
 
 
 i '' 
 
 24 
 
 6580 
 
 6688 
 
 6796 
 
 6903 
 
 7011 
 
 7119 
 
 7227 
 
 7335 
 
 7443 
 
 7551 
 
 
 
 25 
 
 7659 
 
 7767 
 
 7875 
 
 7983 
 
 8090 
 
 8198 
 
 8306 
 
 8414 
 
 8522 
 
 8630 
 
 
 
 26 
 
 8738 
 
 8846 
 
 8953 
 
 9061 
 
 9169 
 
 9277 
 
 9385 
 
 9493 
 
 9601 
 
 9708 
 
 
 
 27 
 
 9816 
 
 9924 
 
 0032 
 
 0140 
 
 0248 
 
 0355 
 
 0463 
 
 0571 
 
 0679 
 
 0787 
 
 
 
 28 
 
 6050895 
 
 1002 
 
 1110 
 
 1218 
 
 1326 
 
 1434 
 
 1541 
 
 1649 
 
 1757 
 
 1865 
 
 
 
 29 
 
 1973 
 
 2080 
 
 2188 
 
 2296 
 
 2404 
 
 2512 
 
 2619 
 
 2727 
 
 2835 
 
 2943 
 
 
 
 4030 
 
 3050 
 
 3158 
 
 3266 
 
 3374 
 
 3482 
 
 3589 
 
 3697 
 
 3805 
 
 3912 
 
 4020 
 
 
 
 31 
 
 4128 
 
 4236 
 
 4343 
 
 4451 
 
 4559 
 
 4667 
 
 4774 
 
 4882 
 
 4990 
 
 5098 
 
 
 
 32 
 
 5205 
 
 5313 
 
 5421 
 
 5528 
 
 5636 
 
 5744 
 
 5851 
 
 5959 
 
 6067 
 
 6175 
 
 
 
 33 
 
 .6282 
 
 6390 
 
 6498 
 
 6605 
 
 6713 
 
 6821 
 
 6928 
 
 7036 
 
 7144 
 
 7251 
 
 
 
 34 
 
 7359 
 
 7467 
 
 7574 
 
 7682 
 
 7790 
 
 7897 
 
 8005 
 
 8112 
 
 8220 
 
 8328 
 
 
 
 35 
 
 8435 
 
 8543 
 
 8651 
 
 8758 
 
 8866 
 
 8974 
 
 9081 
 
 9189 
 
 9296 
 
 9404 
 
 
 
 36 
 
 9512 
 
 9619 
 
 9727 
 
 9834 
 
 9942 
 
 0050 
 
 0157 
 
 0265 
 
 0372 
 
 0480 
 
 
 
 37 
 
 6060587 
 
 0695 
 
 0803 
 
 0910 
 
 1018 
 
 1125 
 
 1233 
 
 1340 
 
 1448 
 
 1556 
 
 
 
 38 
 
 1663 
 
 1771 
 
 1878 
 
 1986 
 
 2093 
 
 2201 
 
 2308 
 
 2416 
 
 2523 
 
 2631 
 
 
 
 39 
 
 2739 
 
 2846 
 
 2954 
 
 3061 
 
 3169 
 
 3276 
 
 3384 
 
 3191 
 
 3599 
 
 3706 
 
 
 
 4040 
 
 3814 
 
 3921 
 
 4029 
 
 4136 
 
 4244 
 
 4351 
 
 4459 
 
 4566 
 
 4674 
 
 4781 
 
 
 
 41 
 
 4889 
 
 4996 
 
 5103 
 
 521 1 
 
 5318 
 
 5426 
 
 5533 
 
 5641 
 
 5748 
 
 5856 
 
 
 
 42 
 
 5963 
 
 6071 
 
 6178 
 
 6285 
 
 6393 
 
 6500 
 
 6608 
 
 6715 
 
 6823 
 
 6930 
 
 
 108 
 
 43 
 
 7037 
 
 7145 
 
 7252 
 
 7360 
 
 7467 
 
 7574 
 
 7682 
 
 7789 
 
 7897 
 
 8004 
 
 
 1 11 
 
 44 
 
 Bin 
 
 8219 
 
 8326 
 
 8434 
 
 8541 
 
 8648 
 
 8756 
 
 S863 
 
 8971 
 
 9078 
 
 
 2 22 
 
 3 32 
 
 45 
 
 9185 
 
 9293 
 
 9400 
 
 9507 
 
 9615 
 
 9722 
 
 9829 
 
 9937 
 
 0044 
 
 0151 
 
 
 4 43 
 
 46 
 
 6070259 
 
 0366 
 
 0473 
 
 0581 
 
 0688 
 
 0795 
 
 0903 
 
 1010 
 
 1117 
 
 1225 
 
 
 5 54 
 
 47 
 
 1332 
 
 1439 
 
 1547 
 
 1654 
 
 1761 
 
 1869 
 
 1976 
 
 2083 
 
 2190 
 
 2298 
 
 
 6 65 
 
 7 76 
 6 86 
 
 48 
 
 2405 
 
 2512 
 
 2620 
 
 2727 
 
 2834 
 
 2941 
 
 3049 
 
 3156 
 
 3263 
 
 3371 
 
 
 49 
 
 3478 
 
 3585 
 
 3692 
 
 3800 
 
 3907 
 
 4014 
 
 4121 
 
 4229 
 
 4336 
 
 4443 
 
 
 9 97 
 
 N. 
 
 
 
 ~ .2.1 
 
 3. 
 
 4 
 
 5 
 
 6 
 
 ,7 
 
 8 
 
 9 
 
 D 
 
 Pts. 
 
N. 40500 L. 607 OF NUMBERS. (67)1 
 
 N. 
 
 40.50 
 
 
 
 1 
 
 4657 
 
 2 
 4765 
 
 3 
 
 4872 
 
 4 
 
 4979 
 
 5 
 
 5086 
 
 6 
 
 5191 
 
 7 
 
 5.301 
 
 8 
 
 5408 
 
 9 
 
 5515 
 
 D 
 
 Pro. 
 
 6074550 
 
 51 
 
 5622 
 
 5730 
 
 5837 
 
 5944 
 
 6051 
 
 6158 
 
 6266 
 
 6373 
 
 6480 
 
 6587 
 
 
 107 
 
 52 
 
 6694 
 
 6802 
 
 6909 
 
 7016 
 
 7123 
 
 7230 
 
 7337 
 
 7445 
 
 7552 
 
 7659 
 
 
 1 
 
 11 
 
 53 
 
 7766 
 
 7873 
 
 7980 
 
 8087 
 
 8195 
 
 8302 
 
 8409 
 
 8516 
 
 8623 
 
 8730 
 
 
 2 
 3 
 
 4 
 
 21 
 32 
 43 
 
 54 
 
 8837 
 
 8945 
 
 9052 
 
 9159 
 
 9266 
 
 9373 
 
 9480 
 
 9587 
 
 9694 
 
 9801 
 
 
 55 
 
 9909 
 
 0016 
 
 0123 
 
 0230 
 
 0337 
 
 0444 
 
 0551 
 
 0658 
 
 0765 
 
 0872 
 
 
 5 
 
 54 
 
 56 
 
 6080979 
 
 1087 
 
 1194 
 
 1301 
 
 1408 
 
 1515 
 
 1622 
 
 1729 
 
 1836 
 
 1943 
 
 
 6 
 7 
 
 8 
 
 64 
 75 
 
 86 
 
 51 
 
 2050 
 
 2157 
 
 2264 
 
 2371 
 
 2478 
 
 2585 
 
 2692 
 
 2799 
 
 2906 
 
 3013 
 
 
 58 
 
 3120 
 
 3227 
 
 3334 
 
 3441 
 
 3548 
 
 3656 
 
 3763 
 
 3870 
 
 3977 
 
 4084 
 
 107 
 
 9 
 
 96 
 
 59 
 
 4191 
 
 4298 
 
 4404 
 
 4511 
 
 4618 
 
 4725 
 
 4832 
 
 4939 
 
 5046 
 
 5153 
 
 
 
 4060 
 
 5260 
 
 5367 
 
 5474 
 
 5581 
 
 5688 
 
 5795 
 
 5902 
 
 6009 
 
 6116 
 
 6223 
 
 
 
 61 
 
 6330 
 
 6437 
 
 6544 
 
 6651 
 
 6758 
 
 6865 
 
 6972 
 
 7078 
 
 7185 
 
 7292 
 
 
 
 62 
 
 7399 
 
 7506 
 
 7613 
 
 7720 
 
 7827 
 
 7934 
 
 8041 
 
 8148 
 
 8254 
 
 8361 
 
 
 
 63 
 
 8468 
 
 8575 
 
 8682 
 
 8789 
 
 8896 
 
 9003 
 
 9110 
 
 9216 
 
 9323 
 
 9430 
 
 
 
 64 
 
 9537 
 
 9644 
 
 9751 
 
 9858 
 
 9964 
 
 0071 
 
 0178 
 
 0285 
 
 0392 
 
 0499 
 
 
 
 Q5 
 
 6090605 
 
 0712 
 
 OS 19 
 
 0926 
 
 1033 
 
 1140 
 
 1246 
 
 1353 
 
 1460 
 
 1567 
 
 
 
 QQ 
 
 1674 
 
 1781 
 
 1887 
 
 1994 
 
 2101 
 
 2208 
 
 2315 
 
 2421 
 
 2528 
 
 2635 
 
 
 
 67 
 
 2742 
 
 2849 
 
 2955 
 
 3062 
 
 3169 
 
 3276 
 
 3382 
 
 3489 
 
 3596 
 
 3703 
 
 
 
 68 
 
 3809 
 
 3916 
 
 4023 
 
 4130 
 
 4236 
 
 4343 
 
 4450 
 
 4557 
 
 4663 
 
 4770 
 
 
 
 69 
 
 4877 
 
 4984 
 
 5090 
 
 5197 
 
 5304 
 
 5411 
 
 5517 
 
 5624 
 
 5731 
 
 5837 
 
 
 
 4070 
 
 5944 
 
 6051 
 
 6157 
 
 6264 
 
 6371 
 
 6478 
 
 6584 
 
 6691 
 
 6798 
 
 6904 
 
 
 
 71 
 
 7011 
 
 7118 
 
 7224 
 
 7331 
 
 7438 
 
 7544 
 
 7651 
 
 7758 
 
 7864 
 
 7971 
 
 
 
 72 
 
 8078 
 
 8184 
 
 8291 
 
 8398 
 
 8504 
 
 8611 
 
 8718 
 
 8824 
 
 8931 
 
 9037 
 
 
 
 73 
 
 9144 
 
 9251 
 
 9357 
 
 9464 
 
 9571 
 
 9677 
 
 9784 
 
 9890 
 
 99D7 
 
 0104 
 
 
 
 74 
 
 6100210 
 
 0317 
 
 0423 
 
 0530 
 
 0637 
 
 0743 
 
 0850 
 
 0956 
 
 1063 
 
 1170 
 
 
 
 75 
 
 1276 
 
 1383 
 
 1489 
 
 1596 
 
 1702 
 
 1809 
 
 1916 
 
 2022 
 
 2129 
 
 2235 
 
 
 
 76 
 
 2342 
 
 2448 
 
 2555 
 
 2661 
 
 2768 
 
 2874 
 
 2981 
 
 3088 
 
 3194 
 
 3301 
 
 
 
 77 
 
 3407 
 
 3514 
 
 3620 
 
 3727 
 
 3833 
 
 3940 
 
 4046 
 
 4153 
 
 4259 
 
 4366 
 
 
 
 78 
 
 4472 
 
 4579 
 
 4685 
 
 4792 
 
 4898 
 
 500.5 
 
 5111 
 
 5218 
 
 5324 
 
 5431 
 
 
 
 79 
 
 5537 
 
 5644 
 
 5750 
 
 5856 
 
 5963 
 
 6069 
 
 6176 
 
 6282 
 
 6389 
 
 6495 
 
 
 
 4080 
 
 6602 
 
 6708 
 
 6815 
 
 6921 
 
 7027 
 
 7134 
 
 7240 
 
 7347 
 
 7453 
 
 7560 
 
 
 
 81 
 
 7666 
 
 7772 
 
 7879 
 
 7985 
 
 8092 
 
 8198 
 
 8304 
 
 8411 
 
 8517 
 
 8624 
 
 
 
 82 
 
 8730 
 
 8836 
 
 8943 
 
 9049 
 
 9156. 
 
 39262 
 
 9368 
 
 9475 
 
 9581 
 
 9687 
 
 
 
 83 
 
 9794 
 
 9900 
 
 0007 
 
 0113 
 
 0219 
 
 0326 
 
 0432 
 
 0538 
 
 0645 
 
 0751 
 
 
 
 84 
 
 6110857 
 
 0964 
 
 1070 
 
 1176 
 
 1283 
 
 1389 
 
 1495 
 
 1602 
 
 1708 
 
 1814 
 
 
 
 85 
 
 1921 
 
 2027 
 
 2133 
 
 2240 
 
 2346 
 
 2452 
 
 2558 
 
 2665 
 
 2771 
 
 2877 
 
 
 
 86 
 
 2984 
 
 3090 
 
 3196 
 
 3302 
 
 3409 
 
 3515 
 
 3621 
 
 3728 
 
 3334 
 
 3940 
 
 
 
 87 
 
 4046 
 
 4153 
 
 4259 
 
 4365 
 
 4471 
 
 4578 
 
 4684 
 
 4790 
 
 4896 
 
 5003 
 
 
 
 88 
 
 5109 
 
 5215 
 
 5321 
 
 5428 
 
 5534 
 
 5640 
 
 5746 
 
 5852 
 
 5959 
 
 6065 
 
 
 
 89 
 
 6171 
 
 6277 
 
 6384 
 
 6490 
 
 6596 
 
 6702 
 
 6808 
 
 6915 
 
 7021 
 
 7127 
 
 
 
 4090 
 
 7233 
 
 7339 
 
 7445 
 
 7552 
 
 7658 
 
 7764 
 
 7870 
 
 7976 
 
 8082 
 
 8189 
 
 
 
 91 
 
 8295 
 
 8401 
 
 8507 
 
 8613 
 
 8719 
 
 8826 
 
 8932 
 
 9038 
 
 9144 
 
 9250 
 
 
 
 92 
 
 9356 
 
 9462 
 
 9569 
 
 9675 
 
 9781 
 
 9887 
 
 9993 
 
 0099 
 
 0205 
 
 0311 
 
 
 106 
 
 93 
 
 6120417 
 
 0524 
 
 0630 
 
 0736 
 
 0842 
 
 0948 
 
 1054 
 
 1160 
 
 1266 
 
 1372 
 
 
 1 
 
 11 
 
 94 
 
 1478 
 
 1584 
 
 1691 
 
 1797 
 
 1903 
 
 2009 
 
 2115 
 
 2221 
 
 2327 
 
 2433 
 
 
 2 
 3 
 
 21 
 
 32 
 
 95 
 
 2539 
 
 2645 
 
 2751 
 
 2857 
 
 2963 
 
 3069 
 
 3175 
 
 3281 
 
 3387 
 
 3493 
 
 
 4 
 
 12 
 
 96 
 
 3599 
 
 3706 
 
 3812 
 
 3918 
 
 4024 
 
 4130 
 
 4236 
 
 4342 
 
 4448 
 
 4554 
 
 106 
 
 5 
 
 53 
 
 97 
 
 4660 
 
 4766 
 
 4872 
 
 4978 
 
 5084 
 
 5190 
 
 5296 
 
 5402 
 
 5508 
 
 5614 
 
 
 6 
 
 7 
 8 
 
 64 
 74 
 85 
 
 98 
 
 5720 
 
 5826 
 
 5931 
 
 6037 
 
 6143 
 
 6249 
 
 6355 
 
 6461 
 
 6567 
 
 6673 
 
 
 99 
 
 6779 
 
 6885 
 
 6991 
 2 
 
 7097 
 
 3 
 
 7203 
 
 7.309 
 
 7415 
 
 6 
 
 7521 
 
 7 
 
 7627 
 
 8 
 
 7733 
 
 9 
 
 D 
 
 9 
 
 95 
 
 N." 
 
 
 
 1 
 
 4 
 
 5 
 
 P 
 
 ts. 
 
 2K2 
 
(6S) LOGARITHMS N. 41000 L.6Hij 
 
 N. 
 
 
 
 1 
 
 o 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pro. 
 
 4100 
 
 6127839 
 
 7944 
 
 8050 
 
 8156 
 
 8262 
 
 8368 
 
 8474 
 
 8580 
 
 8686 
 
 8792 
 
 
 
 01 
 
 8898 
 
 9004 
 
 &109 
 
 9215 
 
 9321 
 
 9427 
 
 9533 
 
 9639 
 
 9745 
 
 9851 
 
 
 106 
 
 02 
 
 9957 
 
 S062 
 
 0168 
 
 0274 
 
 0380 
 
 0486 
 
 0592 
 
 0698 
 
 0803 
 
 0909 
 
 
 1 
 
 11 
 
 03 
 
 6131015 
 
 1 121 
 
 1227 
 
 1333 
 
 1439 
 
 1544 
 
 1 650 
 
 1756 
 
 1862 
 
 1968 
 
 
 2 
 3 
 4 
 
 21 
 32 
 42 
 
 04 
 
 2074 
 
 2179 
 
 2285 
 
 2391 
 
 2497 
 
 2603 
 
 2708 
 
 2814 
 
 2920 
 
 3G26 
 
 
 05 
 
 S132 
 
 3237 
 
 3343 
 
 3449 
 
 3555 
 
 3661 
 
 3766 
 
 3872 
 
 3978 
 
 4084 
 
 
 6 
 
 53 
 
 06 
 
 4189 
 
 4295 
 
 4401 
 
 4507 
 
 4613 
 
 4718 
 
 4824 
 
 4930 
 
 5036 
 
 5141 
 
 
 6 
 
 "7 
 
 6"4 
 74 
 
 85 
 
 07 
 
 5247 
 
 5353 
 
 5459 
 
 5564 
 
 5670 
 
 5776 
 
 5881 
 
 5987 
 
 6093 
 
 6199 
 
 
 / 
 
 8 
 
 08 
 
 6304 
 
 6410 
 
 65)6 
 
 6621 
 
 6727 
 
 6833 
 
 6939 
 
 7044 
 
 7150 
 
 7256 
 
 
 9 
 
 95 
 
 09 
 
 7361 
 
 7467 
 
 7573 
 
 7678 
 
 7784 
 
 7890 
 
 7996 
 
 8101 
 
 8207 
 
 8313 
 
 
 
 4110 
 
 8418 
 
 8524 
 
 8630 
 
 8735 
 
 8841 
 
 8947 
 
 9052 
 
 9158 
 
 9263 
 
 9369 
 
 
 
 11 
 
 9475 
 
 9580 
 
 9686 
 
 9792 
 
 9897 
 
 D003 
 
 0109 
 
 0214 
 
 0320 
 
 0425 
 
 
 
 12 
 
 6140531 
 
 0637 
 
 0742 
 
 0848 
 
 0954 
 
 1059 
 
 1165 
 
 1270 
 
 1376 
 
 1482 
 
 
 
 13 
 
 1587 
 
 1693 
 
 1798 
 
 1904 
 
 2009 
 
 2115 
 
 2221 
 
 2326 
 
 2432 
 
 2537 
 
 
 
 14 
 
 2643 
 
 2748 
 
 2854 
 
 2960 
 
 3065 
 
 3171 
 
 3276 
 
 3382 
 
 3487 
 
 3593 
 
 
 
 15 
 
 3698 
 
 3804 
 
 3909 
 
 4015 
 
 4121 
 
 4226 
 
 4332 
 
 4437 
 
 4543 
 
 4648 
 
 
 
 16 
 
 4754 
 
 4859 
 
 4965 
 
 5070 
 
 5176 
 
 5281 
 
 5387 
 
 5492 
 
 5598 
 
 5703 
 
 
 
 17 
 
 5809 
 
 5914 
 
 6020 
 
 6125 
 
 6231 
 
 6336 
 
 6442 
 
 6547 
 
 6652 
 
 6758 
 
 
 
 18 
 
 6863 
 
 6969 
 
 7074 
 
 7180 
 
 7285 
 
 7391 
 
 7496 
 
 7602 
 
 7707 
 
 7812 
 
 
 
 19 
 
 7918 
 
 8023 
 
 8129 
 
 8234 
 
 8340 
 
 8445 
 
 8550 
 
 8656 
 
 8761 
 
 8867 
 
 
 
 4120 
 
 8972 
 
 9078 
 
 9183 
 
 9288 
 
 9394 
 
 9499 
 
 9605 
 
 9710 
 
 9815 
 
 9921 
 
 
 
 21 
 
 6150026 
 
 0132 
 
 0237 
 
 0342 
 
 0448 
 
 0553 
 
 0658 
 
 0764 
 
 0869 
 
 0975 
 
 
 
 22 
 
 1080 
 
 1185 
 
 1291 
 
 1396 
 
 1501 
 
 1607 
 
 1712 
 
 1817 
 
 1923 
 
 2028 
 
 
 
 23 
 
 2133 
 
 2239 
 
 2344 
 
 2449 
 
 2555 
 
 2660 
 
 2765 
 
 2871 
 
 2976 
 
 3081 
 
 
 
 24 
 
 3187 
 
 3292 
 
 3397 
 
 3502 
 
 3608 
 
 3713 
 
 3818 
 
 3924 
 
 4029 
 
 4134 
 
 
 
 25 
 
 4240 
 
 4345 
 
 4450 
 
 4555 
 
 4661 
 
 4766 
 
 4871 
 
 4976 
 
 5082 
 
 5187 
 
 
 
 26 
 
 5292 
 
 5397 
 
 5503 
 
 5608 
 
 5713 
 
 5818 
 
 5924 
 
 6029 
 
 6134 
 
 6239 
 
 
 
 27 
 
 6345 
 
 6450 
 
 6555 
 
 6660 
 
 6766 
 
 6871 
 
 6976 
 
 7081 
 
 7186 
 
 7292 
 
 
 
 28 
 
 7397 
 
 7502 
 
 7607 
 
 7712 
 
 7818 
 
 7923 
 
 8028 
 
 8133 
 
 8238 
 
 8344 
 
 
 
 29 
 
 8449 
 
 8554 
 
 8659 
 
 8764 
 
 8870 
 
 8975 
 
 9080 
 
 9185 
 
 9290 
 
 9395 
 
 
 
 4130 
 
 9501 
 
 9606 
 
 9711 
 
 9816 
 
 9921 
 
 0026 
 
 0131 
 
 0237 
 
 0342 
 
 0447 
 
 
 
 31 
 
 6160552 
 
 0657 
 
 0762 
 
 0867 
 
 0972 
 
 1078 
 
 1183 
 
 1288 
 
 1393 
 
 1498 
 
 
 
 32 
 
 1603 
 
 1708 
 
 1813 
 
 1918 
 
 2024 
 
 2129 
 
 2234 
 
 2339 
 
 2444 
 
 2549 
 
 
 
 33 
 
 2654 
 
 2759 
 
 2864 
 
 2969 
 
 3074 
 
 3179 
 
 3284 
 
 3390 
 
 3495 
 
 3600 
 
 
 
 34 
 
 3705 
 
 3810 
 
 3915 
 
 4020 
 
 4125 
 
 4230 
 
 4335 
 
 4440 
 
 4545 
 
 4650 
 
 
 
 35 
 
 4755 
 
 4S60 
 
 4965 
 
 5070 
 
 5175 
 
 5280 
 
 5385 
 
 5490 
 
 5595 
 
 5700 
 
 105 
 
 
 36 
 
 5805 
 
 5910 
 
 6015 
 
 6120 
 
 6225 
 
 6330 
 
 6435 
 
 6540 
 
 6645 
 
 6750 
 
 
 
 37 
 
 6855 
 
 5960 
 
 7065 
 
 7170 
 
 7275 
 
 7380 
 
 7485 
 
 7590 
 
 7695 
 
 7800 
 
 
 
 38 
 
 7905 
 
 8010 
 
 8115 
 
 8220 
 
 8325 
 
 8430 
 
 8535 
 
 8639 
 
 8744 
 
 8849 
 
 
 
 39 
 
 8954 
 
 9059 
 
 9164 
 
 9269 
 
 9374 
 
 9479 
 
 9584 
 
 9689 
 
 9794 
 
 9899 
 
 
 
 4140 
 
 6170003 
 
 0108 
 
 0213 
 
 0318 
 
 042.3 
 
 0528 
 
 0633 
 
 0738 
 
 0843 
 
 0947 
 
 
 
 41 
 
 1052 
 
 1157 
 
 1262 
 
 1367 
 
 1472 
 
 1577 
 
 1682 
 
 1786 
 
 1891 
 
 1996 
 
 
 
 42 
 
 2101 
 
 2206 
 
 2311 
 
 2415 
 
 2520 
 
 2625 
 
 2730 
 
 2835 
 
 2940 
 
 3045 
 
 
 105 
 
 43 
 
 3149 
 
 3254 
 
 3359 
 
 3464 
 
 3569 
 
 3673 
 
 3778 
 
 3883 
 
 3988 
 
 4093 
 
 
 111 
 
 44 
 
 4197 
 
 4302 
 
 44-07 
 
 4512 
 
 4617 
 
 4721 
 
 4826 
 
 4931 
 
 5036 
 
 5141 
 
 
 2J21 
 3!32 
 
 45 
 
 5245 
 
 5350 
 
 5455 
 
 5560 
 
 5664 
 
 5769 
 
 5874 
 
 5979 
 
 6083 
 
 6188 
 
 
 4:42 
 
 46 
 
 6293 
 
 6398 
 
 6502 
 
 6607 
 
 6712 
 
 6817 
 
 6921 
 
 7026 
 
 7131 
 
 7236 
 
 
 5 
 
 53 
 
 47 
 
 7340 
 
 7445 
 
 7550 
 
 7655 
 
 7759 
 
 7864 
 
 7969 
 
 8073 
 
 8178 
 
 8283 
 
 
 6 
 
 7 
 8 
 
 63 
 
 74 
 
 «4, 
 
 48 
 
 8387 
 
 8492 
 
 8597 
 
 8702 
 
 8806 
 
 8911 
 
 9016 
 
 9120 
 
 9225 
 
 9330 
 
 
 49 
 
 N. 
 
 9434 
 
 9539 
 
 1 
 
 9644 
 
 9748 
 
 3 
 
 9853 
 
 4 
 
 9958 
 
 0062 
 6 
 
 0167 
 
 7 
 
 0272 
 8 
 
 0376 
 9 
 
 D 
 
 Pts. 
 
 
 
 2 
 
 5 
 
N.41500L.618 of numbers. {69)\ 
 
 N. 
 
 4150 
 
 
 
 1 
 
 0586 
 
 2 
 0690 
 
 3 
 
 0795 
 
 4 
 
 0900 
 
 5 
 
 1004 
 
 6 
 
 1109 
 
 7 
 
 1213 
 
 8 
 
 1318 
 
 9 
 
 1423 
 
 D 
 
 Pro. 
 
 6180481 
 
 51 
 
 1527 
 
 1632 
 
 1737 
 
 1841 
 
 1946 
 
 2050 
 
 2155 
 
 2260 
 
 2364 
 
 2469 
 
 
 104 
 
 52 
 
 2573 
 
 2678 
 
 2783 
 
 2887 
 
 2992 
 
 3096 
 
 3201 
 
 3306 
 
 3410 
 
 3515 
 
 
 1 
 
 10 
 
 53 
 
 3619 
 
 3724 
 
 3828 
 
 3933 
 
 4038 
 
 4142 
 
 4247 
 
 4351 
 
 4456 
 
 4560 
 
 
 2 
 3 
 4 
 
 21 
 31 
 
 42 
 
 54 
 
 4665 
 
 4769 
 
 4874 
 
 4979 
 
 5083 
 
 5188 
 
 5292 
 
 5397 
 
 5501 
 
 5606 
 
 
 55 
 
 5710 
 
 5815 
 
 5919 
 
 6024 
 
 6128 
 
 6233 
 
 6337 
 
 6442 
 
 6546 
 
 6651 
 
 
 5 
 
 52 
 
 56 
 
 6755 
 
 6860 
 
 6964 
 
 7069 
 
 7173 
 
 7278 
 
 7382 
 
 7487 
 
 7591 
 
 7696 
 
 
 6 
 
 7 
 8 
 
 62 
 73 
 83 
 
 57 
 
 7800 
 
 7905 
 
 8009 
 
 8114 
 
 8218 
 
 8323 
 
 8427 
 
 8531 
 
 8636 
 
 8740 
 
 
 58 
 
 8845 
 
 8949 
 
 9054 
 
 9158 
 
 9263 
 
 9367 
 
 9471 
 
 9576 
 
 9680 
 
 9785 
 
 
 9 
 
 94 
 
 59 
 
 9889 
 
 9994 
 
 0098 
 
 0202 
 
 0307 
 
 0411 
 
 0516 
 
 0620 
 
 0725 
 
 0829 
 
 
 
 4160 
 
 6190933 
 
 1038 
 
 1142 
 
 1246 
 
 1351 
 
 1455 
 
 1560 
 
 1664 
 
 1768 
 
 1873 
 
 
 
 61 
 
 1977 
 
 2082 
 
 2186 
 
 2290 
 
 2395 
 
 2499 
 
 2603 
 
 2708 
 
 2812 
 
 2916 
 
 
 
 62 
 
 3021 
 
 3125 
 
 3229 
 
 3334 
 
 3438 
 
 3542 
 
 3647 
 
 3751 
 
 .3855 
 
 3960 
 
 
 
 63 
 
 4064 
 
 4168 
 
 4273 
 
 4377 
 
 4481 
 
 4586 
 
 4690 
 
 4794 
 
 4899 
 
 5003 
 
 
 
 64 
 
 5107 
 
 5212 
 
 5316 
 
 5420 
 
 5524 
 
 5629 
 
 5733 
 
 5837 
 
 5942 
 
 6046 
 
 
 1 
 
 05 
 
 6150 
 
 6254 
 
 6359 
 
 6463 
 
 6567 
 
 6671 
 
 6776 
 
 6880 
 
 6984 
 
 7088 
 
 
 
 66 
 
 7193 
 
 7297 
 
 7401 
 
 7505 
 
 7610 
 
 7714 
 
 7818 
 
 7922 
 
 8027 
 
 8131 
 
 
 
 61 
 
 8235 
 
 8339 
 
 8443 
 
 8548 
 
 8652 
 
 8756 
 
 8860 
 
 8964 
 
 9069 
 
 9173 
 
 
 
 68 
 
 9277 
 
 9381 
 
 9485 
 
 9590 
 
 9694 
 
 9798 
 
 9902 
 
 0006 
 
 0111 
 
 0215 
 
 
 
 69 
 
 6200319 
 
 0423 
 
 0527 
 
 0631 
 
 0736 
 
 0840 
 
 0944 
 
 1048 
 
 1152 
 
 1256 
 
 
 
 4170 
 
 1361 
 
 1465 
 
 1569 
 
 1673 
 
 1777 
 
 1881 
 
 1985 
 
 2090 
 
 2194 
 
 2298 
 
 
 
 71 
 
 2402 
 
 2506 
 
 2610 
 
 2714 
 
 2818 
 
 2922 
 
 3027 
 
 3131 
 
 3235 
 
 3339 
 
 
 
 72 
 
 3443 
 
 3547 
 
 3651 
 
 3755 
 
 3859 
 
 3963 
 
 4068 
 
 4172 
 
 4276 
 
 4380 
 
 
 
 73 
 
 4481. 
 
 4588 
 
 4692 
 
 4796 
 
 4900 
 
 5004 
 
 5108 
 
 5212 
 
 5316 
 
 5420 
 
 
 
 74 
 
 5524 
 
 5628 
 
 5733 
 
 5837 
 
 5941 
 
 6045 
 
 6149 
 
 6253 
 
 6357 
 
 6461 
 
 
 
 75 
 
 6565 
 
 6669 
 
 6773 
 
 6877 
 
 6981 
 
 7085 
 
 7189 
 
 7293 
 
 7397 
 
 7501 
 
 104 
 
 
 76 
 
 7605 
 
 7709 
 
 7813 
 
 7917 
 
 8021 
 
 8125 
 
 8229' 
 
 8333 
 
 8437 
 
 8541 
 
 
 
 77 
 
 8645 
 
 8749 
 
 8853 
 
 8957 
 
 9061 
 
 9165 
 
 9269 
 
 9373 
 
 9476 
 
 9580 
 
 
 
 78 
 
 9684 
 
 97S8 
 
 9892 
 
 9996 
 
 OlOO 
 
 0204 
 
 0308 
 
 0412 
 
 0516 
 
 0620 
 
 
 
 79 
 
 6210724 
 
 0828 
 
 0932 
 
 1035 
 
 1139 
 
 1243 
 
 1347 
 
 1451 
 
 1555 
 
 1659 
 
 
 
 4180 
 
 1763 
 
 1867 
 
 1971 
 
 2075 
 
 2178 
 
 2282 
 
 2386 
 
 2490 
 
 2594 
 
 2698 
 
 
 
 81 
 
 2802 
 
 2906 
 
 3009 
 
 3113 
 
 3217 
 
 3321 
 
 3425 
 
 3529 
 
 3633 
 
 3736 
 
 
 
 82 
 
 3840 
 
 3944 
 
 4048 
 
 4152 
 
 4256 
 
 4359 
 
 4463 
 
 4567 
 
 4671 
 
 4775 
 
 
 
 83 
 
 4879 
 
 4982 
 
 5086 
 
 5190 
 
 5294 
 
 5398 
 
 5502 
 
 5605 
 
 5709 
 
 5813 
 
 
 
 84 
 
 5917 
 
 6021 
 
 6124 
 
 6228 
 
 6332 
 
 6436 
 
 6540 
 
 6643 
 
 6747 
 
 6851 
 
 
 
 85 
 
 6955 
 
 7058 
 
 7162 
 
 7266 
 
 7370 
 
 7473 
 
 7577 
 
 7681 
 
 7785 
 
 7888 
 
 
 
 86 
 
 7992 
 
 8096 
 
 8200 
 
 8303 
 
 8407 
 
 8511 
 
 8615 
 
 8718 
 
 8822 
 
 8926 
 
 
 
 87 
 
 9030 
 
 9133 
 
 9237 
 
 9341 
 
 9444 
 
 9548 
 
 9652 
 
 9756 
 
 9859 
 
 9963 
 
 
 
 88 
 
 6220067 
 
 0170 
 
 0274 
 
 0378 
 
 0482 
 
 0585 
 
 0689 
 
 0793 
 
 0896 
 
 1000 
 
 
 
 89 
 
 1104 
 
 1207 
 
 1311 
 
 1415 
 
 1518 
 
 1622 
 
 1726 
 
 1829 
 
 1933 
 
 2037 
 
 
 
 4190 
 
 2140 
 
 2244 
 
 2348 
 
 2451 
 
 2555 
 
 2658 
 
 2762 
 
 2866 
 
 2969 
 
 3073 
 
 
 
 91 
 
 3177 
 
 3280 
 
 3384 
 
 3487 
 
 3591 
 
 3695 
 
 3798 
 
 3902 
 
 4006 
 
 4109 
 
 
 
 92 
 
 4213 
 
 4316 
 
 4420 
 
 4524 
 
 4627 
 
 4731 
 
 4834 
 
 4938 
 
 5041 
 
 5145 
 
 
 103 
 
 93 
 
 5249 
 
 5352 
 
 5456 
 
 5559 
 
 5663 
 
 5766 
 
 5870 
 
 5974 
 
 6077 
 
 6181 
 
 
 1 
 
 10 
 
 94 
 
 6284 
 
 6388 
 
 6491 
 
 6595 
 
 6698 
 
 6802 
 
 6906 
 
 7009 
 
 7113 
 
 7216 
 
 
 2 
 3 
 
 21 
 31 
 
 95 
 
 7320 
 
 7423 
 
 7527 
 
 7630 
 
 7734 
 
 7837 
 
 7941 
 
 8044 
 
 8148 
 
 8251 
 
 
 4 
 
 41 
 
 96 
 
 8355 
 
 8458 
 
 8562 
 
 8665 
 
 8769 
 
 8872 
 
 8976 
 
 9079 
 
 9183 
 
 9286 
 
 
 5 
 
 6 
 
 7 
 
 52 
 62 
 
 72 
 
 97 
 
 9390 
 
 9493 
 
 9597 
 
 9700 
 
 9804 
 
 9907 
 
 0011 
 
 0114 
 
 0217 
 
 0321 
 
 
 98 
 
 6230424 
 
 0528 
 
 0631 
 
 0735 
 
 0838 
 
 0,942 
 
 1045 
 
 1148 
 
 1252 
 
 1355 
 
 
 8 
 
 82 
 
 ' 99 
 
 N. 
 
 1459 
 
 1562 
 1 
 
 1666 
 2 
 
 1769 
 3 
 
 1872 
 
 4 
 
 1976 
 5 
 
 2079 
 
 2183 
 
 ~7~ 
 
 2286 
 
 8 
 
 2389 
 
 9 
 
 D 
 
 9 
 
 93 
 
 
 
 F 
 
 »ts. 
 
(70) 
 
 LOGARITHMS N. 452000 L. 623 
 
 N. 
 
 4200 
 
 
 
 1 
 
 2596 
 
 2 
 2700 
 
 3 
 
 2803 
 
 4 
 2906 
 
 5 
 
 3010 
 
 6 
 
 3113 
 
 7 
 
 3217 
 
 8 
 3320 
 
 9 
 
 3423 
 
 D 
 
 Pro. 
 
 6232493 
 
 01 
 
 3527 
 
 3630 
 
 3734 
 
 3837 
 
 3940 
 
 4044 
 
 4147 
 
 4250 
 
 4354 
 
 4+57 
 
 
 103 
 
 02 
 
 4560 
 
 4664 
 
 47,-67 
 
 4871 
 
 4974 
 
 5077 
 
 5181 
 
 5284 
 
 5387 
 
 5491 
 
 
 1 10 
 
 03 
 
 5594 
 
 5697 
 
 5801 
 
 5904 
 
 6007 
 
 611 I 
 
 6214 
 
 6317 
 
 6420 
 
 6524 
 
 
 221 
 3 31 
 441 
 
 04 
 
 6627 
 
 6730 
 
 6834 
 
 6937 
 
 7040 
 
 7144 
 
 7247 
 
 7350 
 
 7453 
 
 7557 
 
 
 05 
 
 7660 
 
 7763 
 
 7867 
 
 7970 
 
 8073 
 
 8176 
 
 8280 
 
 8383 
 
 8486 
 
 8589 
 
 
 5 52 
 
 06 
 
 8693 
 
 8796 
 
 8899 
 
 9002 
 
 9106 
 
 9209 
 
 9312 
 
 9415 
 
 9519 
 
 9622 
 
 
 6 62 
 
 7 72 
 
 8 82 
 
 07 
 
 9725 
 
 9828 
 
 9932 
 
 0035 
 
 0138 
 
 0241 
 
 0344 
 
 0448 
 
 0551 
 
 0654 
 
 
 08 
 
 6240757 
 
 0861 
 
 0964 
 
 1067 
 
 1170 
 
 127^ 
 
 1377 
 
 1480 
 
 1583 
 
 1686 
 
 
 9 93 
 
 09 
 
 1789 
 
 1892 
 
 1996 
 
 2099 
 
 2202 
 
 2305 
 
 2403 
 
 2511 
 
 2615 
 
 2718 
 
 
 
 4210 
 
 2821 
 
 2924 
 
 3027 
 
 3130 
 
 3234 
 
 3337 
 
 3440 
 
 3543 
 
 3646 
 
 3749 
 
 
 
 11 
 
 3852 
 
 3956 
 
 4059 
 
 4162 
 
 4265 
 
 4368 
 
 4471 
 
 4574 
 
 4677 
 
 4781 
 
 
 
 12 
 
 4884 
 
 4987 
 
 5090 
 
 5193 
 
 5296 
 
 5399 
 
 55p2 
 
 5605 
 
 5708 
 
 5812 
 
 
 
 13 
 
 5915 
 
 6018 
 
 6121 
 
 6224 
 
 6327 
 
 6430 
 
 6533 
 
 6636 
 
 6739 
 
 6842 
 
 
 
 14 
 
 6945 
 
 7048 
 
 7151 
 
 7254 
 
 7358 
 
 7461 
 
 7564 
 
 7667 
 
 7770 
 
 7873 
 
 
 
 15 
 
 7976 
 
 8079 
 
 8182 
 
 8285 
 
 8388 
 
 8491 
 
 8594 
 
 8697 
 
 8800 
 
 8903 
 
 
 
 16 
 
 9006 
 
 9109 
 
 9212 
 
 9315 
 
 9418 
 
 9521 
 
 9624 
 
 9727 
 
 9830 
 
 9933 
 
 103 
 
 
 17 
 
 6250036 
 
 0139 
 
 0242 
 
 0345 
 
 0448 
 
 0551 
 
 0654 
 
 0757 
 
 0860 
 
 0963 
 
 
 
 18 
 
 1066 
 
 1169 
 
 1272 
 
 1375 
 
 1478 
 
 1581 
 
 1683 
 
 1786 
 
 1889 
 
 1992 
 
 
 
 19 
 
 2095 
 
 2198 
 
 2301 
 
 2404 
 
 2507 
 
 2610 
 
 2713 
 
 2816 
 
 2919 
 
 3022 
 
 
 
 4220 
 
 3125 
 
 3227 
 
 3330 
 
 3433 
 
 3536 
 
 3639 
 
 3742 
 
 3845 
 
 3948 
 
 4051 
 
 
 
 21 
 
 4154 
 
 4256 
 
 4359 
 
 4462 
 
 4565 
 
 4668 
 
 4771 
 
 4874 
 
 4977 
 
 5079 
 
 
 
 22 
 
 5182 
 
 5285 
 
 5388 
 
 5491 
 
 5594 
 
 5697 
 
 5799 
 
 5902 
 
 6005 
 
 6108 
 
 
 
 23 
 
 6211 
 
 6314 
 
 6416 
 
 6519 
 
 6622 
 
 6725 
 
 6828 
 
 6931 
 
 7033 
 
 7136 
 
 
 
 24 
 
 7239 
 
 7342 
 
 7415 
 
 7548 
 
 7650 
 
 7753 
 
 7856 
 
 7959 
 
 8062 
 
 8164 
 
 
 
 , 25 
 
 8267 
 
 8370 
 
 8473 
 
 8575 
 
 8-678 
 
 8781 
 
 8884 
 
 8987 
 
 9089 
 
 9192 
 
 
 
 26 
 
 9295 
 
 9398 
 
 9500 
 
 9603 
 
 9706 
 
 9809 
 
 9911 
 
 U014 
 
 0117 
 
 0220 
 
 
 
 27 
 
 6260322 
 
 0425 
 
 0528 
 
 0631 
 
 0733 
 
 0836 
 
 0939 
 
 1042 
 
 1144 
 
 1247 
 
 
 
 28 
 
 1350 
 
 1453 
 
 1555 
 
 1658 
 
 1761 
 
 1863 
 
 1966 
 
 2069 
 
 2171 
 
 2274 
 
 
 
 29 
 
 2377 
 
 2480 
 
 2582 
 
 2685 
 
 2788 
 
 2890 
 
 2993 
 
 3096 
 
 3198 
 
 3301 
 
 
 
 4230 
 
 3404 
 
 3506 
 
 3609 
 
 3712 
 
 3814 
 
 3917 
 
 4020 
 
 4122 
 
 4225 
 
 4328 
 
 
 
 31 
 
 4430 
 
 4533 
 
 4636 
 
 4738 
 
 4841 
 
 4943 
 
 5046 
 
 5149 
 
 5251 
 
 5354 
 
 
 
 32 
 
 5457 
 
 5559 
 
 5662 
 
 5764 
 
 5867 
 
 5970 
 
 6072 
 
 6175 
 
 6277 
 
 6380 
 
 
 
 33 
 
 6483 
 
 6585 
 
 6688 
 
 6790 
 
 6893 
 
 6996 
 
 7098 
 
 7201 
 
 7303 
 
 7406 
 
 
 
 34 
 
 7509 
 
 7611 
 
 7714 
 
 7816 
 
 7919 
 
 8021 
 
 8124 
 
 8226 
 
 8329 
 
 8432 
 
 
 
 35 
 
 8534 
 
 8637 
 
 8739 
 
 8842 
 
 8944 
 
 9047 
 
 9149 
 
 9252 
 
 9354 
 
 9457 
 
 
 
 36 
 
 9560 
 
 9662 
 
 9765 
 
 9867 
 
 9970 
 
 0072 
 
 0175 
 
 0277 
 
 0380 
 
 0482 
 
 
 
 37 
 
 6270585 
 
 0687 
 
 0790 
 
 0892 
 
 0995 
 
 1097 
 
 1200 
 
 1302 
 
 1405 
 
 1507 
 
 
 
 38 
 
 1610 
 
 1712 
 
 1814 
 
 1917 
 
 2019 
 
 2122 
 
 2224 
 
 2327 
 
 2429 
 
 2532 
 
 
 
 39 
 
 2634 
 
 2737 
 
 2839 
 
 2942 
 
 3044 
 
 3146 
 
 3249 
 
 3351 
 
 3454 
 
 3556 
 
 
 
 4240 
 
 3659 
 
 3761 
 
 3S63 
 
 3966 
 
 4068 
 
 4171 
 
 4273 
 
 4376 
 
 4478 
 
 4580 
 
 
 
 41 
 
 4683 
 
 4785 
 
 4888 
 
 4990 
 
 5092 
 
 5195 
 
 5297 
 
 5399 
 
 5502 
 
 5604 
 
 
 
 42 
 
 5707 
 
 5809 
 
 5911 
 
 6014 
 
 6116 
 
 6219 
 
 6321 
 
 6423 
 
 6526 
 
 6628 
 
 
 102 
 
 43 
 
 6730 
 
 6833 
 
 6935 
 
 7037 
 
 7140 
 
 7242 
 
 7344 
 
 7447 
 
 7549 
 
 7651 
 
 
 1 10 
 
 44 
 
 7754 
 
 7856 
 
 7958 
 
 8061 
 
 8163 
 
 8265 
 
 8368 
 
 8470 
 
 8572 
 
 8675 
 
 
 2 20 
 
 3 31 
 
 45 
 
 8777 
 
 8879 
 
 8982 
 
 9084 
 
 9186 
 
 9288 
 
 9391 
 
 9493 
 
 9595 
 
 9698 
 
 
 4 41 
 
 46 
 
 9800 
 
 9902 
 
 0004 
 
 0107 
 
 0209 
 
 0311 
 
 0414 
 
 0516 
 
 0618 
 
 0720 
 
 
 5 51 
 
 6 61 
 
 7 71 
 
 47 
 
 6280823 
 
 0925 
 
 1027 
 
 1129 
 
 1232 
 
 1334 
 
 1436 
 
 1538 
 
 1641 
 
 1743 
 
 
 48 
 
 1845 
 
 1947 
 
 2050 
 
 2152 
 
 2254 
 
 2356 
 
 2458 
 
 2561 
 
 2663 
 
 2765 
 
 
 8 82 
 
 49 
 
 N. 
 
 2867 
 
 2970 
 1 
 
 3072 
 
 3174 
 
 3276 
 
 4 
 
 3378 
 
 5 
 
 3481 
 
 6 
 
 3583 3685 1 
 
 3787 
 
 9 
 
 
 9 92 
 
 
 
 2 
 
 3 
 
 7 
 
 8 1 
 
 D 
 
 Pts.j 
 
N.4e500 L. 628 OF NUMBERS. (71)1 
 
 N. 
 
 4250 
 
 
 
 1 
 
 3991 
 
 2 
 
 4094 
 
 S 
 
 4l'96 
 
 4 
 
 4298 
 
 5 
 
 4400 
 
 6 
 
 4502 
 
 7 
 
 4605 
 
 8 
 
 4707 
 
 9 
 
 4809 
 
 D 
 
 Pro. 
 
 6283889 
 
 51 
 
 4911 
 
 5013 
 
 5115 
 
 5218 
 
 5320 
 
 5422 
 
 5524 
 
 5626 
 
 5728 
 
 5830 
 
 
 102 
 
 52 
 
 5933 
 
 6035 
 
 6137 
 
 6239 
 
 6341 
 
 6443 
 
 6545 
 
 6647 
 
 6750 
 
 6852 
 
 
 1 
 
 10 
 
 53 
 
 6954 
 
 7056 
 
 7158 
 
 7260 
 
 7362 
 
 7464 
 
 7566 
 
 7669 
 
 7771 
 
 7873 
 
 
 2 
 3 
 4 
 
 20 
 31 
 41 
 
 54- 
 
 7975 
 
 8077 
 
 8179 
 
 8281 
 
 8383 
 
 8485 
 
 8587 
 
 8689 
 
 8792 
 
 8894 
 
 
 55 
 
 8996 
 
 9098 
 
 9200 
 
 930? 
 
 9404 
 
 9506 
 
 9608 
 
 9710 
 
 9812 
 
 9914 
 
 
 5 
 
 51 
 
 56 
 
 6290016 
 
 0118 
 
 0220 
 
 0322 
 
 0424 
 
 0526 
 
 0628 
 
 0730 
 
 0832 
 
 0934 
 
 102 
 
 6 
 
 7 
 8 
 
 61 
 71 
 
 82 
 
 57 
 
 1037 
 
 1139 
 
 1241 
 
 1343 
 
 1445 
 
 1547 
 
 1649 
 
 1751 
 
 1853 
 
 1955 
 
 58 
 
 2057 
 
 2159 
 
 2261 
 
 2363 
 
 2465 
 
 2567 
 
 2668 
 
 2770 
 
 2872 
 
 2974 
 
 
 9 
 
 92 
 
 59 
 
 3076 
 
 3178 
 
 3280 
 
 3382 
 
 3484 
 
 3586 
 
 3688 
 
 3790 
 
 3892 
 
 3994 
 
 
 
 4260 
 
 4096 
 
 4198 
 
 4300 
 
 4402 
 
 4504 
 
 4606 
 
 4708 
 
 4810 
 
 4911 
 
 5013 
 
 
 
 61 
 
 5115 
 
 5217 
 
 5319 
 
 5421 
 
 5523 
 
 5625 
 
 5727 
 
 5829 
 
 5931 
 
 6033 
 
 
 
 62 
 
 6134 
 
 6236 
 
 6338 
 
 6440 
 
 6542 
 
 6644 
 
 6746 
 
 6848 
 
 6950 
 
 7051 
 
 
 
 63 
 
 7153 
 
 7255 
 
 7357 
 
 7459 
 
 7561 
 
 7663 
 
 7765 
 
 7866 
 
 7968 
 
 8070 
 
 
 
 64 
 
 8172 
 
 8274 
 
 8376 
 
 8478 
 
 8579 
 
 8681 
 
 8783 
 
 8885 
 
 8987 
 
 9089 
 
 
 
 65 
 
 9190 
 
 9292 
 
 9394 
 
 9496 
 
 9598 
 
 9699 
 
 9801 
 
 9903 
 
 0005 
 
 0107 
 
 
 
 66 
 
 6300209 
 
 0310 
 
 0412 
 
 0514 
 
 0616 
 
 0717 
 
 0819 
 
 0921 
 
 1023 
 
 1125 
 
 
 
 61 
 
 1226 
 
 1328 
 
 1430 
 
 1532 
 
 1634 
 
 1735 
 
 1837 
 
 1939 
 
 2041 
 
 2142 
 
 
 
 68 
 
 2244 
 
 2346 
 
 2448 
 
 2549 
 
 2651 
 
 2753 
 
 2855 
 
 2956 
 
 3058 
 
 3160 
 
 
 
 69 
 
 3262 
 
 3363 
 
 3465 
 
 3567 
 
 3668 
 
 3770 
 
 3872 
 
 3974 
 
 4075 
 
 4177 
 
 
 
 4270 
 
 4279 
 
 4380 
 
 '4482 
 
 4584 
 
 4686 
 
 4787. 
 
 4889 
 
 4991 
 
 5092 
 
 5194 
 
 
 
 71 
 
 5296 
 
 5397 
 
 5499 
 
 5601 
 
 5702 
 
 5804 
 
 590^ 
 
 '6007 
 
 6109 
 
 6211 
 
 
 
 72 
 
 6312 
 
 6414 
 
 6516 
 
 6617 
 
 6719 
 
 6821 
 
 6922 
 
 7024 
 
 7126 
 
 7227 
 
 
 
 73 
 
 7329 
 
 7431 
 
 7532 
 
 7634 
 
 7735 
 
 7837 
 
 7939 
 
 8040 
 
 8142 
 
 8244 
 
 
 
 74 
 
 8345 
 
 8447 
 
 8548 
 
 8650 
 
 8752 
 
 8853 
 
 8955 
 
 9056 
 
 9158 
 
 9260 
 
 
 
 75 
 
 9361 
 
 9463 
 
 9564 
 
 9666 
 
 9768 
 
 9869 
 
 9971 
 
 0072 
 
 0174 
 
 0275 
 
 
 
 76 
 
 6310377 
 
 0479 
 
 0580 
 
 0682 
 
 0783 
 
 0885 
 
 0986 
 
 1088 
 
 1189 
 
 1291 
 
 
 
 77 
 
 1393 
 
 1494 
 
 1596 
 
 1697 
 
 1799 
 
 1900 
 
 2002 
 
 2103 
 
 2205 
 
 2306 
 
 
 
 78 
 
 2408 
 
 2509 
 
 2611 
 
 2712 
 
 2814 
 
 2915 
 
 3017 
 
 3118 
 
 3220 
 
 3321 
 
 
 
 79 
 
 3423 
 
 3524 
 
 3626 
 
 3727 
 
 3829 
 
 3930 
 
 4032 
 
 4133 
 
 4235 
 
 4336 
 
 
 
 4280 
 
 4438 
 
 4539 
 
 4641 
 
 4742 
 
 4844 
 
 4945 
 
 5046 
 
 5148 
 
 5249 
 
 5351 
 
 
 
 81 
 
 5452 
 
 5554 
 
 5655 
 
 5757 
 
 5858 
 
 5959 
 
 6061 
 
 6162 
 
 6264 
 
 6365 
 
 
 
 82 
 
 6467 
 
 6568 
 
 6669 
 
 6771 
 
 6872 
 
 "6974 
 
 7075 
 
 7177 
 
 7278 
 
 7379 
 
 
 
 83 
 
 7481 
 
 7582 
 
 7684 
 
 7785 
 
 7886 
 
 7988 
 
 8089 
 
 8190 
 
 8292 
 
 8393 
 
 
 
 84 
 
 8495 
 
 8596 
 
 8697 
 
 8799 
 
 8900 
 
 9001 
 
 9103 
 
 9204 
 
 9306 
 
 9407 
 
 
 
 85 
 
 9508 
 
 9610 
 
 9711 
 
 9812 
 
 9914 
 
 0015 
 
 0116 
 
 0218 
 
 0319 
 
 0420 
 
 
 
 86 
 
 6320522 
 
 0623 
 
 0724 
 
 0826 
 
 0927 
 
 1028 
 
 1130 
 
 1231 
 
 1332 
 
 1434 
 
 
 
 87 
 
 1535 
 
 1636 
 
 1737 
 
 1839 
 
 1940 
 
 2041 
 
 2143 
 
 2244 
 
 2345 
 
 2446 
 
 
 
 88 
 
 2548 
 
 2649 
 
 2750 
 
 2852 
 
 2953 
 
 3054 
 
 3155 
 
 3257 
 
 3358 
 
 3459 
 
 
 
 89 
 
 3560 
 
 3662 
 
 3763 
 
 3864 
 
 3965 
 
 4067 
 
 4168 
 
 4269 
 
 4370 
 
 4472 
 
 
 
 4290 
 
 4573 
 
 4674 
 
 4775 
 
 4877 
 
 4978 
 
 5079 
 
 5180 
 
 5282 
 
 5383 
 
 5484 
 
 
 
 91 
 
 5585 
 
 5686 
 
 5788 
 
 5889 
 
 5990 
 
 6091 
 
 6192 
 
 6294 
 
 6395 
 
 6496 
 
 
 
 92 
 
 6597 
 
 6698 
 
 6800 
 
 6901 
 
 7002 
 
 7103 
 
 7204 
 
 7305 
 
 7407 
 
 7508 
 
 
 101 
 
 93 
 
 7609 
 
 7710 
 
 7811 
 
 7912 
 
 8014 
 
 8115 
 
 8216 
 
 8317 
 
 8418 
 
 8519 
 
 
 1 
 
 10 
 
 94 
 
 8620 
 
 8722 
 
 8823 
 
 8924 
 
 9025 
 
 9126 
 
 "9227 
 
 9328 
 
 9429 
 
 9531 
 
 
 2 
 3 
 
 20 
 30 
 
 95 
 
 9632 
 
 9733 
 
 9834 
 
 9935 
 
 0036 
 
 0137 
 
 0238 
 
 0339 
 
 0441 
 
 0542 
 
 
 4 
 
 40 
 
 96 
 
 6330643 
 
 0744 
 
 0845 
 
 0946 
 
 1047 
 
 1148 
 
 1249 
 
 1350 
 
 1451 
 
 1552 
 
 
 5 
 
 51 
 
 97 
 
 1654 
 
 1755 
 
 1856 
 
 1957 
 
 2058 
 
 2159 
 
 2260 
 
 2361 
 
 2462 
 
 2563 
 
 
 6 
 
 7 
 8 
 
 61 
 71 
 
 81 
 
 98 
 
 2664 
 
 2765 
 
 2866 
 
 2967 
 
 3068 
 
 3169 
 
 3270 
 
 3371 
 
 3472 
 
 3573 
 
 
 99 
 N. 
 
 3674 
 
 3775 
 
 T 
 
 3876 
 2 
 
 3978 
 
 3 
 
 4079 
 
 4 
 
 4180 
 
 5 
 
 4281 
 
 6 
 
 4382 
 7 
 
 4483 
 8 
 
 4584 
 
 9 
 
 101 
 
 D 
 
 9 
 
 91 
 
 
 
 P 
 
 ts. 
 
(72) 
 
 LOGARITHMS N.43000 L. 6'33 
 
 
 N. 
 
 4300 
 
 
 
 1 
 
 4786 
 
 2 
 
 4887 
 
 3 
 
 4 
 5089 
 
 5 
 
 5190 
 
 6 
 
 5291 
 
 7 
 
 8 
 
 5492 
 
 9 
 
 5593 
 
 D 
 
 Pro. 
 
 
 6334085 
 
 4988 
 
 5391 
 
 
 
 
 01 
 
 5694 
 
 5795 
 
 5896 
 
 5997 
 
 6098 
 
 6199 
 
 6300 
 
 6401 
 
 6502 
 
 6603 
 
 
 101 
 
 
 02 
 
 6704 
 
 6805 
 
 6906 
 
 7007 
 
 7108 
 
 7209 
 
 7310 
 
 7411 
 
 7512 
 
 7613 
 
 
 1 10 
 
 
 03 
 
 7713 
 
 7814 
 
 7915 
 
 8016 
 
 8117 
 
 8218 
 
 8319 
 
 8420 
 
 8521 
 
 8622 
 
 
 2 '20 
 
 
 04 
 
 8723 
 
 8824 
 
 8924 
 
 9025 
 
 9126 
 
 9227 
 
 9328 
 
 .9429 
 
 9530 
 
 9631 
 
 
 3 30 
 
 4 40 
 
 
 05 
 
 9732 
 
 9832 
 
 9933 
 
 0034 
 
 0135 
 
 0236 
 
 0337 
 
 0438 
 
 0539 
 
 0639 
 
 
 6 51 
 
 
 06 
 
 6340740 
 
 0841 
 
 0942 
 
 1043 
 
 1144 
 
 1245 
 
 1345 
 
 1446 
 
 1547 
 
 1648 
 
 
 6GI 
 
 
 07 
 
 1,749 
 
 1850 
 
 1950 
 
 2051 
 
 2152 
 
 2253 
 
 2354 
 
 2455 
 
 2555 
 
 2656 
 
 
 771 
 
 881 
 9 91 
 
 
 08 
 
 2757 
 
 2858 
 
 2959 
 
 3059 
 
 3160 
 
 3261 
 
 3362 
 
 3463 
 
 3563 
 
 3664 
 
 
 
 09 
 
 3765 
 
 3866 
 
 3967 
 
 4067 
 
 4168 
 
 4269 
 
 4370 
 
 4470 
 
 4571 
 
 4672 
 
 
 
 
 4310 
 
 4773 
 
 4873 
 
 4974 
 
 5075 
 
 5176 
 
 5276 
 
 5377 
 
 5478 
 
 5579 
 
 5679 
 
 
 
 
 11 
 
 5780 
 
 5881 
 
 5982 
 
 6082 
 
 6183 
 
 6284 
 
 6385 
 
 6485 
 
 6586 
 
 6687 
 
 
 
 
 12 
 
 6788 
 
 6888 
 
 6989 
 
 7090 
 
 7190 
 
 7291 
 
 7392 
 
 7492 
 
 7593 
 
 7694 
 
 
 
 
 13 
 
 7795 
 
 7895 
 
 7996 
 
 8097 
 
 8197 
 
 8298 
 
 8399 
 
 8499 
 
 8600 
 
 8701 
 
 
 
 
 14 
 
 8801 
 
 8902 
 
 9003 
 
 9103 
 
 9204 
 
 9305 
 
 9405 
 
 9506 
 
 9607 
 
 9707 
 
 
 
 
 15 
 
 9808 
 
 9909 
 
 0009 
 
 0110 
 
 0211 
 
 0311 
 
 0412 
 
 0512 
 
 06 J 3 
 
 0714 
 
 
 
 
 16 
 
 6350814 
 
 0915 
 
 1016 
 
 1116 
 
 1217 
 
 1317 
 
 1418 
 
 1519 
 
 1619 
 
 1720 
 
 
 
 
 17 
 
 1820 
 
 1921 
 
 2022 
 
 2122 
 
 2223 
 
 2323 
 
 2424 
 
 2525 
 
 2625 
 
 2726 
 
 
 
 
 18 
 
 2826 
 
 2927 
 
 3028 
 
 3128 
 
 3229 
 
 3329 
 
 3430 
 
 3530 
 
 3631 
 
 3731 
 
 
 
 
 19 
 
 3832 
 
 3933 
 
 4033 
 
 4134 
 
 4234 
 
 4335 
 
 4435 
 
 4536 
 
 4636 
 
 4737 
 
 
 
 
 4320 
 
 4837 
 
 4938 
 
 5039 
 
 5139 
 
 5240 
 
 5340 
 
 5441 
 
 5541 
 
 5642 
 
 5742 
 
 
 
 
 21 
 
 5843 
 
 5943 
 
 6044 
 
 6144 
 
 6245 
 
 6345 
 
 6446 
 
 6546 
 
 6647 
 
 6747 
 
 
 
 
 22 
 
 6848 
 
 6948 
 
 7049 
 
 7149 
 
 7250 
 
 7350 
 
 7450 
 
 7551 
 
 7651 
 
 7752 
 
 
 
 
 23 
 
 7852 
 
 7953 
 
 8053 
 
 8154 
 
 8254 
 
 8355 
 
 8455 
 
 8556 
 
 8656 
 
 8756 
 
 
 
 
 24 
 
 8857 
 
 8957 
 
 9058 
 
 9158 
 
 9259 
 
 9359 
 
 9459 
 
 9560 
 
 9660 
 
 9761 
 
 
 
 
 25 
 
 9861 
 
 9962 
 
 0062 
 
 0162 
 
 0263 
 
 0363 
 
 0464 
 
 0564 
 
 0664 
 
 0765 
 
 
 
 
 26 
 
 6360865 
 
 0966 
 
 1066 
 
 1166 
 
 1267 
 
 1367 
 
 1467 
 
 1568 
 
 1668 
 
 1769 
 
 
 
 
 27 
 
 1869 
 
 1969 
 
 2070 
 
 2170 
 
 2270 
 
 2371 
 
 2471 
 
 2571 
 
 2672 
 
 2772 
 
 
 
 
 28 
 
 2873 
 
 2973 
 
 3073 
 
 3174 
 
 3274 
 
 3374 
 
 3475 
 
 3575 
 
 3675 
 
 3776 
 
 
 
 
 29 
 
 3876 
 
 3976 
 
 4076 
 
 4177 
 
 4277 
 
 4377 
 
 4478 
 
 4578 
 
 4678 
 
 4779 
 
 
 
 
 4330 
 
 4879 
 
 4979 
 
 5080 
 
 5180 
 
 5280 
 
 5380 
 
 5481 
 
 5581 
 
 5681 
 
 5782 
 
 
 
 
 31 
 
 5882 
 
 5982 
 
 6082 
 
 6183 
 
 6283 
 
 6383 
 
 6483 
 
 6584 
 
 6684 
 
 6784 
 
 
 
 
 32 
 
 6884 
 
 6985 
 
 7085 
 
 7185 
 
 7285 
 
 7386 
 
 7486 
 
 7586 
 
 7686 
 
 7787 
 
 
 
 
 33 
 
 7887 
 
 7987 
 
 8087 
 
 8188 
 
 8288 
 
 8388 
 
 8488 
 
 8588 
 
 8689 
 
 8789 
 
 
 
 
 34 
 
 8889 
 
 8989 
 
 9089 
 
 9190 
 
 9290 
 
 9390 
 
 9490 
 
 9590 
 
 9691 
 
 9791 
 
 
 
 
 35 
 
 9891 
 
 9991 
 
 0091 
 
 0192 
 
 0292 
 
 0392 
 
 0492 
 
 0592 
 
 0692 
 
 0793 
 
 
 
 
 36 
 
 6370893 
 
 0993 
 
 1093 
 
 1193 
 
 1293 
 
 1394 
 
 1494 
 
 1594 
 
 1694 
 
 1794 
 
 
 
 
 37 
 
 1894 
 
 1994 
 
 2094 
 
 2195 
 
 2295 
 
 2395 
 
 2495 
 
 2595 
 
 2695 
 
 2795 
 
 
 
 
 38 
 
 2895 
 
 2996 
 
 3096 
 
 3196 
 
 3296 
 
 3396 
 
 3496 
 
 3596 
 
 3696 
 
 3796 
 
 
 
 
 39 
 
 3897 
 
 3997 
 
 4097 
 
 4197 
 
 4297 
 
 4397 
 
 4497 
 
 4597 
 
 4697 
 
 4797 
 
 
 
 
 4340 
 
 4897 
 
 4997 
 
 5097 
 
 5l;97 
 
 5298 
 
 5398 
 
 5498 
 
 5598 
 
 5698 
 
 5798 
 
 
 
 
 41 
 
 5898 
 
 5998 
 
 6098 
 
 6198 
 
 6298 
 
 6398 
 
 6498 
 
 6598 
 
 6698 
 
 6798 
 
 
 
 
 42 
 
 6898 
 
 6998 
 
 7098 
 
 7198 
 
 7298 
 
 7398 
 
 7498 
 
 7598 
 
 7698 
 
 7798 
 
 100 
 
 100 
 
 
 43 
 
 7898 
 
 7998 
 
 8098 
 
 8198 
 
 8298 
 
 8398 
 
 8498 
 
 8598 
 
 8698 
 
 8798 
 
 
 1 10 
 
 
 44 
 
 8898 
 
 8998 
 
 9098 
 
 9198 
 
 9298 
 
 9398 
 
 9498 
 
 9598 
 
 9698 
 
 9798 
 
 
 2 20 
 
 3 30 
 
 
 45 
 
 9898 
 
 9998 
 
 0098 
 
 0198 
 
 0298 
 
 0398 
 
 0497 
 
 0597 
 
 0697 
 
 0797 
 
 
 4 40 
 
 
 46 
 
 6380897 
 
 0997 
 
 1097 
 
 1197 
 
 1297 
 
 1397 
 
 1497 
 
 1597 
 
 1697 
 
 1796 
 
 
 6 50 
 
 
 47 
 
 1896 
 
 1996 
 
 2096 
 
 2196 
 
 2296 
 
 2396 
 
 249.6 
 
 2596 
 
 2696 
 
 2705 
 
 
 6 60 
 
 7 70 
 
 8 80 
 
 
 48 
 
 2895 
 
 2995 
 
 3095 
 
 3195 
 
 3295 
 
 3395 
 
 3495 
 
 3594 
 
 5694 
 
 3794 
 
 
 
 49 
 N. 
 
 3894 
 
 3994 
 1 
 
 4094 
 2 
 
 4194 
 3 
 
 4294 
 
 4 
 
 4393 
 5 
 
 4493 
 
 6 
 
 4593 
 
 4693 4793 
 
 8 9 
 
 D 
 
 9 90 
 
 Pts. 
 
 
 
 
 7 
 
 
N. 43500 L.6'38 of NUMBEiis. (73) 
 
 N. 
 
 4350 
 
 
 
 1 
 
 4992 
 
 ^ 
 
 3 
 
 5192 
 
 4 
 
 5292 
 
 5 
 
 5392 
 
 6 
 
 5492 
 
 7 
 
 5591 
 
 8 
 
 9 
 
 5791 
 
 1) 
 
 Pro. 
 
 6384893 
 
 5092 
 
 5691 
 
 51 
 
 5891 
 
 5991 
 
 6090 
 
 6190 
 
 6290 
 
 6390 
 
 6490 
 
 6589 
 
 6689 
 
 6789 
 
 
 99 
 
 52 
 
 6889 
 
 6989 
 
 7088 
 
 7188 
 
 7288 
 
 7388 
 
 7488 
 
 7587 
 
 7687 
 
 7787 
 
 
 ] 10 
 
 5S 
 
 7887 
 
 7986 
 
 8086 
 
 8186 
 
 8286 
 
 8385 
 
 8485 
 
 8585 
 
 8685 
 
 8784 
 
 
 2 20 
 
 3 30 
 
 4 40 
 
 54 
 
 S884 
 
 8984 
 
 9084 
 
 9183 
 
 9283 
 
 9383 
 
 9483 
 
 9582 
 
 9682 
 
 9782 
 
 
 55 
 
 9882 
 
 9981 
 
 0081 
 
 0181 
 
 0280 
 
 0380 
 
 0480 
 
 0580 
 
 0679 
 
 0779 
 
 
 b50 
 
 56 
 
 6390879 
 
 0978 
 
 1078 
 
 1178 
 
 1277 
 
 1377 
 
 1477 
 
 1577 
 
 1676 
 
 1776 
 
 
 6 59 
 
 7 69 
 
 8 79 
 
 57 
 
 1876 
 
 1975 
 
 2075 
 
 2175 
 
 2274 
 
 2374 
 
 21-74 
 
 2573 
 
 2673 
 
 2773 
 
 
 58 
 
 2872 
 
 2972 
 
 3072 
 
 3171 
 
 3271 
 
 3371 
 
 3470 
 
 3570 
 
 3669 
 
 3769 
 
 
 9 89 
 
 59 
 
 3869 
 
 3968 
 
 4068 
 
 4168 
 
 4267 
 
 4367 
 
 4466 
 
 4566 
 
 4666 
 
 4765 
 
 
 
 4360 
 
 4865 
 
 4965 
 
 5064 
 
 5164 
 
 5263 
 
 5363 
 
 5463 
 
 5 562 
 
 5662 
 
 5761 
 
 
 
 61 
 
 5861 
 
 5960 
 
 6060 
 
 6160 
 
 6259 
 
 6359 
 
 6458 
 
 6558 
 
 6657 
 
 6757 
 
 
 
 62 
 
 6857 
 
 6956 
 
 7056 
 
 7155 
 
 7255 
 
 7354 
 
 7454 
 
 7553 
 
 7653 
 
 7753 
 
 
 ' 
 
 63 
 
 7852 
 
 7952 
 
 8051 
 
 8151 
 
 8250 
 
 8350 
 
 8449 
 
 8549 
 
 8618 
 
 8748 
 
 
 
 64 
 
 8847 
 
 8947 
 
 9046 
 
 9146 
 
 9245 
 
 9345 
 
 9444 
 
 9544 
 
 9643 
 
 9743 
 
 
 
 65 
 
 9842 
 
 9942 
 
 0041 
 
 0141 
 
 0240 
 
 0340 
 
 0439 
 
 0539 
 
 0638 
 
 0738 
 
 
 
 66 
 
 6400837 
 
 0937 
 
 1036 
 
 1136 
 
 1235 
 
 1335 
 
 1434 
 
 1534 
 
 1633 
 
 1732 
 
 
 
 67 
 
 1832 
 
 1931 
 
 2031 
 
 2130 
 
 2230 
 
 2329 
 
 2429 
 
 2528 
 
 2627 
 
 2727 
 
 
 
 68 
 
 2826 
 
 2926 
 
 3025 
 
 3125 
 
 3224 
 
 3323 
 
 3423 
 
 3522 
 
 3622 
 
 3721 
 
 
 
 69 
 
 3820 
 
 3920 
 
 4019 
 
 4119 
 
 4218 
 
 4317 
 
 4417 
 
 4516 
 
 4616 
 
 4715 
 
 
 
 4370 
 
 4814 
 
 4914 
 
 5013 
 
 5113 
 
 5212 
 
 5311 
 
 5411 
 
 5510 
 
 5609 
 
 5709 
 
 
 
 71 
 
 5808 
 
 5907 
 
 6007 
 
 6106 
 
 6205 
 
 6305 1 6404 
 
 6504 
 
 6603 
 
 6702 
 
 
 
 72 
 
 6802 
 
 6901 
 
 7000 
 
 7100 
 
 7199 
 
 7298 
 
 7398 
 
 7497 
 
 7596 
 
 7695 
 
 
 
 73 
 
 7795 
 
 7894 
 
 7993 
 
 8093 
 
 8192 
 
 8291 
 
 8391 
 
 8490 
 
 8589 
 
 8688 
 
 
 
 74 
 
 8788 
 
 8887 
 
 8986 
 
 9086 
 
 9185 
 
 9284 
 
 9383 
 
 9483 
 
 9582 
 
 9681 
 
 
 
 75 
 
 9781 
 
 9880 
 
 9979 
 
 0078 
 
 0178 
 
 0277 
 
 0376 
 
 0475 
 
 0575 
 
 0674 
 
 
 
 76 
 
 6410773 
 
 0872 
 
 0972 
 
 1071 
 
 1170 
 
 1269 
 
 1369 
 
 1468 
 
 1567 
 
 1666 
 
 
 
 77 
 
 1765 
 
 1865 
 
 1964 
 
 2063 
 
 2162 
 
 2262 
 
 2361 
 
 24^)0 
 
 2559 
 
 2658 
 
 
 
 78 
 
 2758 
 
 2857 
 
 2956 
 
 3055 
 
 3154 
 
 3254 
 
 3353 
 
 3452 
 
 355 1 
 
 3650 
 
 
 
 79 
 
 3749 
 
 3849 
 
 3948 
 
 4047 
 
 4146 
 
 4245 
 
 4344 
 
 4441- 
 
 4543 
 
 4642 
 
 
 
 4380 
 
 4741 
 
 4840 
 
 4939 
 
 5039 
 
 5138 
 
 5237 
 
 5336 
 
 5435 
 
 5534 
 
 5633 
 
 
 
 81 
 
 5733 
 
 5832 
 
 5931 
 
 6030 
 
 6129 
 
 6228 
 
 6327 
 
 6426 
 
 6526 
 
 6625 
 
 
 
 82 
 
 6724 
 
 6823 
 
 6922 
 
 7021 
 
 7120 
 
 7219 
 
 7318 
 
 7417 
 
 7517 
 
 7616 
 
 
 
 83 
 
 7715 
 
 7814 
 
 7913 
 
 8012 
 
 8111 
 
 8210 
 
 8309 
 
 8408 
 
 8507 
 
 8606 
 
 
 
 84 
 
 8705 
 
 8805 
 
 8904 
 
 9003 
 
 9102 
 
 9201 
 
 9300 
 
 9399 
 
 9498 
 
 9597 
 
 
 
 85 
 
 9696 
 
 9795 
 
 9894 
 
 9993 
 
 0092 
 
 0191 
 
 0290 
 
 0389 
 
 0488 
 
 0587 
 
 
 
 86 
 
 6420686 
 
 0785 
 
 0884 
 
 0983 
 
 1082 
 
 1181 
 
 1280 
 
 1379 
 
 1478 
 
 1577 
 
 99 
 
 
 87 
 
 1676 
 
 1775 
 
 1874 
 
 1973 
 
 2072 
 
 2171 
 
 2270 
 
 2369 
 
 2468 
 
 fe567 
 
 
 
 88 
 
 2666 
 
 2765 
 
 2864 
 
 2963 
 
 3062 
 
 3161 
 
 3260 
 
 3359 
 
 3458 
 
 3557 
 
 
 
 89 
 
 3656 
 
 3755 
 
 3854 
 
 3953 
 
 4052 
 
 4151 
 
 4249 
 
 4348 
 
 4447 
 
 4546 
 
 
 
 4390 
 
 4645 
 
 4744 
 
 4843 
 
 4942 
 
 5041 
 
 5140 
 
 5239 
 
 5338 
 
 5437 
 
 5535 
 
 
 
 91 
 
 5634 
 
 5733 
 
 5832 
 
 5931 
 
 6030 
 
 6129 
 
 6228 
 
 0327 
 
 6426 
 
 6524 
 
 
 
 92 
 
 6623 
 
 6722 
 
 6821 
 
 6920 
 
 7019 
 
 7118 
 
 7217 
 
 7315 
 
 7414 
 
 7513 
 
 
 98 
 
 93 
 
 7612 
 
 7711 
 
 7810 
 
 7909 
 
 8007 
 
 8106 
 
 8205 
 
 8304 
 
 8403 
 
 8502 
 
 
 1 10 
 
 94 
 
 8601 
 
 8699 
 
 8798 
 
 8897 
 
 8996 
 
 9095 
 
 9194 
 
 9292 
 
 9391 
 
 9490 
 
 
 •J 20 
 3 29 
 
 95 
 
 9589 
 
 9688 
 
 9786 
 
 9885 
 
 9984 
 
 0083 
 
 0182 
 
 0280 
 
 0379 
 
 0478 
 
 
 439 
 
 96 
 
 6430577 
 
 0676 
 
 0774 
 
 0873 
 
 0972 
 
 i07r 
 
 1170 
 
 1268 
 
 1367 
 
 1466 
 
 
 5 49 
 
 97 
 
 1565 
 
 1663 
 
 1762 
 
 1861 
 
 1960 
 
 2058 
 
 2157 
 
 2256 
 
 2355 
 
 2454 
 
 
 6 59 
 
 7 69 
 
 8 7g 
 
 98 
 
 2552 
 
 2651 
 
 2750 
 
 2848 
 
 2947 
 
 3046 
 
 3145 
 
 3243 
 
 3342 3441 1 
 
 
 99 
 
 N. 
 
 3540 
 
 3638 
 
 37 37 
 9, 
 
 3836 
 
 __3 
 
 3935 
 _ 4__ 
 
 4033 
 
 5 
 
 4132 
 
 6; 
 
 4231 
 
 7 
 
 4329 
 
 8 
 
 4428 
 
 9, 
 
 
 9 88 
 
 
 
 D 
 
 Pts- 
 
 2JL 
 
(74) 
 
 LOGARITHMS N. 44000 L. 643 
 
 N. 
 
 4400 
 
 
 
 1 
 
 2 
 
 S 
 
 4823 
 
 4 
 
 4922 
 
 5 
 
 5020 
 
 6 
 
 5119 
 
 7 
 
 5218 
 
 8 
 5316 
 
 9 
 
 5415 
 
 D 
 
 Pro 
 
 6434527 
 
 4625 
 
 4724 
 
 01 
 
 5514 
 
 5612 
 
 5711 
 
 5810 
 
 5908 
 
 6007 
 
 6106 
 
 6204 
 
 6303 
 
 6402 
 
 
 99 
 
 02 
 
 6500 
 
 6599 
 
 6698 
 
 6796 
 
 6895 
 
 6994 
 
 7092 
 
 7191 
 
 7290 
 
 7388 
 
 
 1 
 
 10 
 
 03 
 
 7487 
 
 7585 
 
 7684 
 
 7783 
 
 7881 
 
 7980 
 
 8079 
 
 8177 
 
 8276 
 
 8374 
 
 
 2 
 3 
 4 
 
 20 
 ^0 
 40 
 
 04 
 
 8473 
 
 8572 
 
 8670 
 
 8769 
 
 8868 
 
 8966 
 
 9065 
 
 9163 
 
 9262 
 
 9361 
 
 
 05 
 
 9459 
 
 9558 
 
 9656 
 
 9755 
 
 9853 
 
 9952 
 
 0051 
 
 0149 
 
 0248 
 
 0346 
 
 
 5 
 
 50 
 
 06 
 
 6440445 
 
 0543 
 
 0642 
 
 0741 
 
 0839 
 
 0938 
 
 1036 
 
 1135 
 
 1233 
 
 1332 
 
 
 6 
 
 7 
 g 
 
 59 
 69 
 79 
 
 07 
 
 1431 
 
 1529 
 
 1628 
 
 1726 
 
 1825 
 
 1923 
 
 2022 
 
 2120 
 
 2219 
 
 2317 
 
 
 08 
 
 2416 
 
 2514 
 
 2613 
 
 2711 
 
 2810 
 
 2908 
 
 3007 
 
 3105 
 
 3204 
 
 3302 
 
 
 9 
 
 89 
 
 09 
 
 3401 
 
 3499 
 
 3598 
 
 3696 
 
 3795 
 
 3893 
 
 3992 
 
 4090 
 
 4189 
 
 4287 
 
 
 
 4410 
 
 4386 
 
 4484 
 
 4583 
 
 4681 
 
 4780 
 
 4878 
 
 4977 
 
 5075 
 
 5174 
 
 5272 
 
 
 
 '■ 11 
 
 5371 
 
 5469 
 
 5567 
 
 5666 
 
 5764 
 
 5863 
 
 5961 
 
 6060 
 
 6158 
 
 6257 
 
 
 
 i n 
 
 6355 
 
 6453 
 
 6552 
 
 6650 
 
 6749 
 
 6847 
 
 6946 
 
 7044 
 
 7142 
 
 7241 
 
 
 
 13 
 
 7339 
 
 7438 
 
 7536 
 
 7635' 
 
 7733 
 
 7831 
 
 7930 
 
 8028 
 
 8127 
 
 8225 
 
 
 
 14 
 
 8323 
 
 8422 
 
 8520 
 
 8618 
 
 8717 
 
 8815 
 
 8914 
 
 9012 
 
 9110 
 
 9209 
 
 
 
 15 
 
 9307 
 
 9405 
 
 9504 
 
 9602 
 
 9701 
 
 9799 
 
 9897 
 
 9996 
 
 0094 
 
 0192 
 
 
 
 16 
 
 6450291 
 
 0389 
 
 0487 
 
 0586 
 
 0684 
 
 0782 
 
 0881 
 
 0979 
 
 1077 
 
 1176 
 
 
 
 17 
 
 1274 
 
 1372 
 
 1471 
 
 1569 
 
 1667 
 
 1766 
 
 1864 
 
 1962 
 
 2061 
 
 2159 
 
 
 
 18 
 
 2257 
 
 2355 
 
 2454 
 
 2552 
 
 2650 
 
 2749 
 
 2847 
 
 2945 
 
 3043 
 
 3142 
 
 
 
 19 
 
 3240 
 
 3338 
 
 3437 
 
 3535 
 
 3633 
 
 3731 
 
 3830 
 
 3928 
 
 4026 
 
 4124 
 
 
 
 4420 
 
 4223 
 
 432 J 
 
 4419 
 
 4517 
 
 4616 
 
 4714 
 
 4812 
 
 4910 
 
 5009 
 
 5107 
 
 
 
 21 
 
 5205 
 
 5303 
 
 5402 
 
 550O 
 
 5598 
 
 5696 
 
 5795 
 
 5893 
 
 5991 
 
 6089 
 
 
 
 22 
 
 6187 
 
 6286 
 
 6384 
 
 6482 
 
 6580 
 
 6678 
 
 6777 
 
 6875 
 
 6973 
 
 7071 
 
 
 
 23 
 
 7169 
 
 7268 
 
 7366 
 
 7464 
 
 7562 
 
 7660 
 
 7758 
 
 7857 
 
 7955 
 
 8053 
 
 
 
 24 
 
 8151 
 
 8249 
 
 8348 
 
 8446 
 
 8544 
 
 8642 
 
 8740 
 
 8838 
 
 8936 
 
 9035 
 
 
 
 25 
 
 9133 
 
 9231 
 
 9329 
 
 9427 
 
 9.525 
 
 9623 
 
 9722 
 
 9820 
 
 9918 
 
 0016 
 
 
 
 26 
 
 6460114 
 
 0212 
 
 0310 
 
 0408 
 
 0507 
 
 0605 
 
 0703 
 
 0801 
 
 0899 
 
 0997 
 
 
 
 27 
 
 1095 
 
 1193 
 
 1291 
 
 1390 
 
 1488 
 
 1586 
 
 1684 
 
 1782 
 
 1880 
 
 1978 
 
 
 
 28 
 
 2076 
 
 2174 
 
 2272 
 
 2370 
 
 2468 
 
 2566 
 
 2665 
 
 2763 
 
 2861 
 
 2959 
 
 
 
 29 
 
 3057 
 
 3155 
 
 3253 
 
 3351 
 
 3449 
 
 3547 
 
 3645 
 
 3743 
 
 3841 
 
 3939 
 
 
 
 4430 
 
 4037 
 
 4135 
 
 4233 
 
 4331 
 
 4429 
 
 4527 
 
 4625 
 
 4723 
 
 4821 
 
 4919 
 
 98 
 
 
 31 
 
 5018 
 
 5116 
 
 5214 
 
 5312 
 
 5410 
 
 5508 
 
 5606 
 
 5704 
 
 5802 
 
 5900 
 
 
 
 32 
 
 5998 
 
 6096 
 
 6193 
 
 6291 
 
 6389 
 
 6487 
 
 6585 
 
 6683 
 
 6781 
 
 6879 
 
 
 
 33 
 
 6977 
 
 7075 
 
 7173 
 
 7271 
 
 7369 
 
 7467 
 
 7565 
 
 7663 
 
 7761 
 
 7859 
 
 
 
 34 
 
 7957 
 
 8055 
 
 8153 
 
 8251 
 
 8349 
 
 8447 
 
 8545 
 
 8642 
 
 8740 
 
 8838 
 
 
 
 35 
 
 8936 
 
 9034 
 
 9132 
 
 9230 
 
 9328 
 
 9426 
 
 9524 
 
 9622 
 
 9720 
 
 9817 
 
 
 
 36 
 
 9915 
 
 0013 
 
 0111 
 
 0209 
 
 0307 
 
 0405 
 
 0503 
 
 0601 
 
 0699 
 
 0796 
 
 
 
 37 
 
 6470894 
 
 0992 
 
 1090 
 
 1188 
 
 1286 
 
 1334 
 
 1482 
 
 1579 
 
 1677 
 
 1775 
 
 
 
 38 
 
 . 1873 
 
 1971 
 
 2069 
 
 2167 
 
 2264 
 
 2362 
 
 2460 
 
 2558 
 
 2656 
 
 2754 
 
 
 
 39 
 
 2851 
 
 2949 
 
 3047 
 
 3145 
 
 3243 
 
 3341 
 
 3438 
 
 3536 
 
 3634 
 
 3732 
 
 
 
 4440 
 
 3830 
 
 3928 
 
 4025 
 
 4123 
 
 4221 
 
 4319 
 
 4417 
 
 4514 
 
 4612 
 
 4710 
 
 
 
 41 
 
 4808 
 
 4906 
 
 5003 
 
 5101 
 
 5199 
 
 5297 
 
 5394 
 
 5492 
 
 5590 
 
 5688 
 
 
 
 42 
 
 5786 
 
 5883 
 
 5981 
 
 6079 
 
 6177 
 
 6274 
 
 6372 
 
 6470 
 
 6568 
 
 6665 
 
 
 98 
 
 43 
 
 6763 
 
 6861 
 
 6959 
 
 7056 
 
 7154 
 
 7252 
 
 7350 
 
 7447 
 
 7545 
 
 7643 
 
 
 1 
 
 10 
 
 44 
 
 • 7741 
 
 7838 
 
 7936 
 
 8034 
 
 8131 
 
 8229 
 
 8327 
 
 8425 
 
 8522 
 
 8620 
 
 
 2 
 3 
 
 20 
 29 
 
 45 
 
 8718 
 
 8815 
 
 8913 
 
 9011 
 
 9108 
 
 9206 
 
 9304 
 
 9402 
 
 9499 
 
 9597 
 
 
 4 
 
 39 
 
 46 
 
 9695 
 
 9792 
 
 9890 
 
 9988 
 
 0085 
 
 0183 
 
 0281 
 
 0378 
 
 0476 
 
 0574 
 
 
 5 
 
 49 
 
 47 
 
 6480671 
 
 0769 
 
 0867 
 
 0964 
 
 1062 
 
 1160 
 
 1257 
 
 1355 
 
 1453 
 
 1550 
 
 
 6 
 
 7 
 8 
 
 59 
 69 
 
 78 
 
 48 
 
 1648 
 
 1745 
 
 1843 
 
 1941 
 
 2038 
 
 2136 
 
 2234 
 
 2331 
 
 2429 
 
 2526 
 
 
 49 
 
 N. 
 
 2624 
 
 2722 
 1 
 
 2819 
 2 
 
 |2917 
 
 3 
 
 3015 
 
 4 
 
 3112 
 5 
 
 3210 
 6 
 
 3307 
 
 3405 
 8 
 
 3503 
 
 9 
 
 D 
 
 9 
 
 88 
 
 
 
 7 
 
 I 
 
 >ts. 
 
N. 44500 L.648 of numbers. 
 
 {75)\ 
 
 N. 
 
 44.50 
 
 
 
 1 
 
 3698 
 
 2 
 
 3795 
 
 3 
 
 3893 
 
 4 
 
 3990 
 
 5 
 
 4088 
 
 6 
 
 4186 
 
 7 
 
 8 
 
 4381 
 
 9 
 
 4478 
 
 IT 
 
 Pro. 
 
 6483600 
 
 4283 
 
 51 
 
 4576 
 
 4674 
 
 4771 
 
 4869 
 
 4966 
 
 5064 
 
 5161 
 
 5259 
 
 5356 
 
 5454 
 
 
 97 
 
 52 
 
 5552 
 
 5649 
 
 5747 
 
 5844 
 
 5942 
 
 6039 
 
 6137 
 
 6234 
 
 6332 
 
 6429 
 
 
 1 10 
 
 53 
 
 6527 
 
 6624 
 
 6722 
 
 6820 
 
 6917 
 
 7015 
 
 7112 
 
 7210 
 
 7307 
 
 7405 
 
 
 2 19 
 
 3 29 
 
 4 39 
 
 54 
 
 7502 
 
 7600 
 
 7697 
 
 7795 
 
 7892 
 
 7990 
 
 8087 
 
 8165 
 
 8282 
 
 8380 
 
 
 55 
 
 8477 
 
 8575 
 
 8672 
 
 8770 
 
 8867 
 
 8964 
 
 9062 
 
 9159 
 
 9257 
 
 9354 
 
 
 5 49 
 
 56 
 
 9452 
 
 9549 
 
 9647 
 
 9744 
 
 9842 
 
 9939 
 
 0037 
 
 0134 
 
 0231 
 
 0329 
 
 
 6 58 
 
 7 68 
 
 8 78 
 
 51 
 
 6490426 
 
 0524 
 
 0621 
 
 0719 
 
 0816 
 
 0914 
 
 1011 
 
 1108 
 
 1206 
 
 1303 
 
 
 58 
 
 1401 
 
 1498 
 
 1595 
 
 16)3 
 
 1790 
 
 1888 
 
 1985 
 
 2083 
 
 2180 
 
 2277 
 
 
 .9 87 
 
 59 
 
 2375 
 
 2472 
 
 2570 
 
 2667 
 
 2764 
 
 2862 
 
 2959 
 
 3056 
 
 3154 
 
 3251 
 
 
 
 4460 
 
 3349 
 
 3446 
 
 3543 
 
 3641 
 
 3738 
 
 3SS5 
 
 3933 
 
 4030 
 
 4128 
 
 4225 
 
 
 
 ai 
 
 4322 
 
 4420 
 
 4517 
 
 4614 
 
 4712 
 
 4809 
 
 4906 
 
 5004 
 
 5101 
 
 5198 
 
 
 
 62 
 
 5296 
 
 5393 
 
 5490 
 
 5588 
 
 5685 
 
 5782 
 
 5880 
 
 5977 
 
 6074 
 
 6172 
 
 
 
 63 
 
 6269 
 
 6366 
 
 6463 
 
 6561 
 
 6658 
 
 6755 
 
 6853 
 
 6950 
 
 7047 
 
 7145 
 
 
 
 64 
 
 7242 
 
 7339 
 
 7436 
 
 7534 
 
 7631 
 
 7728 
 
 7826 
 
 7923 
 
 8020 
 
 8117 
 
 
 
 65 
 
 8215 
 
 8312 
 
 8409 
 
 8506 
 
 8604 
 
 8701 
 
 8798 
 
 8895 
 
 8993 
 
 9090 
 
 
 
 Q6 
 
 9187 
 
 9284 
 
 9382 
 
 9479 
 
 9576 
 
 9673 
 
 9771 
 
 9868 
 
 9965 
 
 0062 
 
 
 
 67 
 
 6500160 
 
 0257 
 
 0354 
 
 0451 
 
 0548 
 
 0646 
 
 0743 
 
 0840 
 
 0937 
 
 1034 
 
 
 
 68 
 
 1132 
 
 1229 
 
 1326 
 
 1423 
 
 1520 
 
 1618 
 
 1715 
 
 1812 
 
 1909 
 
 2006 
 
 
 
 69 
 
 2104 
 
 2201 
 
 2298 
 
 2395 
 
 2492 
 
 2589 
 
 2687 
 
 2784 
 
 2881 
 
 2978 
 
 
 
 4470 
 
 3075 
 
 3172 
 
 3270 
 
 3367 
 
 3464 
 
 3561 
 
 3658 
 
 3755 
 
 3852 
 
 3950 
 
 
 
 71 
 
 4047 
 
 4144 
 
 4241 
 
 4338 
 
 4435 
 
 4532 
 
 4629 
 
 4727 
 
 4824 
 
 4921 
 
 
 
 72 
 
 5018 
 
 51 14^ 
 
 5212 
 6183 
 
 5309 
 
 5406 
 
 5503 
 
 5601 
 
 5698 
 
 5795 
 
 5892 
 
 
 
 73 
 
 5989 
 
 6086 
 
 6280 
 
 6377 
 
 6474 
 
 6571 
 
 6669 
 
 6766 
 
 6863 
 
 
 
 74 
 
 6960 
 
 7057 
 
 7154 
 
 7251 
 
 7348 
 
 7445 
 
 7542 
 
 7639 
 
 7736 
 
 7833 
 
 
 
 75 
 
 7930 
 
 8027 
 
 8124 
 
 8222 
 
 8319 
 
 8416 
 
 8513 
 
 8610 
 
 8707 
 
 8804 
 
 
 
 76 
 
 8901 
 
 8998 
 
 9095 
 
 9192 
 
 9289 
 
 9386 
 
 9483 
 
 9580 
 
 .9677 
 
 9774 
 
 97 
 
 
 77 
 
 9871 
 
 9968 
 
 0065 
 
 0162 
 
 0259 
 
 0356 
 
 0453 
 
 0550 
 
 0647 
 
 0744 
 
 
 78 
 
 6510841 
 
 0938 
 
 1035 
 
 1132 
 
 1229 
 
 1326 
 
 1423 
 
 1520 
 
 1617 
 
 1714 
 
 
 
 79 
 
 1811 
 
 1908 
 
 2005 
 
 2102 
 
 2198 
 
 2295 
 
 2392 
 
 2489 
 
 2586 
 
 2683 
 
 
 
 4480 
 
 2780 
 
 2877 
 
 2974 
 
 307/ 
 
 3168 
 
 3265 
 
 3362 
 
 3459 
 
 3556 
 
 3653 
 
 
 
 81 
 
 3749 
 
 3846 
 
 3943 
 
 4040 
 
 4137 
 
 4234 
 
 4331 
 
 4428 
 
 4525 
 
 4622 
 
 
 
 82 
 
 4719 
 
 4815 
 
 4912 
 
 5009 
 
 5106 
 
 5203 
 
 5300 
 
 5397 
 
 5494 
 
 5591 
 
 
 
 83 
 
 5687 
 
 5784 
 
 5881 
 
 5978 
 
 6075 
 
 6172 
 
 6269 
 
 6365 
 
 6462 
 
 6559 
 
 
 
 84 
 
 6656 
 
 6753 
 
 6850 
 
 6947 
 
 7043 
 
 7140 
 
 7237 
 
 7334 
 
 7431 
 
 7528 
 
 
 
 85 
 
 7624 
 
 7721 
 
 7818 
 
 7915 
 
 8012 
 
 8109 
 
 8205 
 
 8302 
 
 8399 
 
 8496 
 
 
 
 86 
 
 8593 
 
 8690 
 
 8786 
 
 8883 
 
 8980 
 
 9077 
 
 9174 
 
 9270 
 
 9367 
 
 9464 
 
 
 
 87 
 
 9561 
 
 P657 
 
 9754 
 
 9851 
 
 9948 
 
 0045 
 
 0141 
 
 0238 
 
 0335 
 
 0432 
 
 
 
 88 
 
 6520528 
 
 0625 
 
 0722 
 
 0819 
 
 0916 
 
 1012 
 
 1109 
 
 1206 
 
 1303 
 
 1399 
 
 
 
 89 
 
 1496 
 
 1593 
 
 1690 
 
 1786 
 
 1883 
 
 1980 
 
 2076 
 
 2173 
 
 2270 
 
 2367 
 
 
 
 4490 
 
 2463 
 
 2560 
 
 2657 
 
 2754 
 
 2850 
 
 2947 
 
 3044 
 
 3140 
 
 3237 
 
 3334 
 
 
 
 91 
 
 3431 
 
 3527 
 
 3624 
 
 3721 
 
 3817 
 
 3914 
 
 4011 
 
 4107 
 
 4204 
 
 4301 
 
 
 
 92 
 
 4397 
 
 4494 
 
 4591 
 
 4688 
 
 4784 
 
 4881 
 
 4978 
 
 5074 
 
 5171 
 
 5268 
 
 
 96 
 
 93 
 
 5364 
 
 5461 
 
 5558 
 
 5654 
 
 5751 
 
 5847 
 
 5944 
 
 6041 
 
 6137 
 
 6234 
 
 
 1 
 
 10 
 
 94 
 
 6331 
 
 6427 
 
 6524 
 
 6621 
 
 6717 
 
 6814 
 
 6910 
 
 7007 
 
 7104 
 
 7200 
 
 
 2 
 3 
 
 19 
 29 
 
 95 
 
 7297 
 
 7394 
 
 7490 
 
 7587 
 
 7683 
 
 7780 
 
 7877 
 
 7973 
 
 8070 
 
 8166 
 
 
 4 
 
 38 
 
 96 
 
 8263 
 
 8360 
 
 8456 
 
 8553 
 
 8649 
 
 8746 
 
 8843 
 
 8939 
 
 9036 
 
 9132 
 
 
 5 
 
 48 
 
 97 
 
 9229 
 
 9325 
 
 9422 
 
 9519 
 
 9615 
 
 9712 
 
 9808 
 
 9905 
 
 0001 
 
 0098 
 
 
 6 
 
 7 
 g 
 
 58 
 67 
 77 
 
 98 
 
 6530195 
 
 0291 
 
 0388 
 
 0484 
 
 0581 
 
 0677 
 
 0774 
 
 0870 
 
 0967 
 
 1063 
 
 
 99 
 
 N. 
 
 1160 
 
 1256 
 1 
 
 1353 
 
 2 
 
 1450 
 3 
 
 1546 
 
 4 
 
 1643 
 
 5 
 
 1739 
 
 6 
 
 1836 
 
 1932 
 
 2029 
 
 .9 
 
 D 
 
 9 
 
 '66 
 
 
 
 T" 8 1 
 
 Pts. 
 
 2L2 
 

 (76) LOGARITHMS N.4o000 L. 653 
 
 
 N. 
 
 430C 
 
 
 
 1 
 
 222'2 
 
 2 
 2318 
 
 S 
 
 4 
 
 2511 
 
 5 
 
 2608 
 
 6 
 
 2704 
 
 7 
 
 2801 
 
 8 
 
 2897 
 
 9 
 
 2994 
 
 D 
 
 Pro. 
 
 
 6532125 
 
 2415 
 
 
 01 
 
 3090 
 
 3187 
 
 3283 
 
 3380 
 
 3476 
 
 3573 
 
 3669 
 
 3765 
 
 3862 
 
 3958 
 
 
 97 
 
 
 02 
 
 4055 
 
 4151 
 
 4248 
 
 4344 
 
 4441 
 
 4537 
 
 4634 
 
 4730 
 
 4827 
 
 4923 
 
 
 1 10 
 
 
 03 
 
 5019 
 
 5116 
 
 5212 
 
 5309 
 
 5405 
 
 5502 
 
 5598 
 
 5695 
 
 5791 
 
 5887 
 
 
 2 19 
 
 3 29 
 439 
 
 
 04 
 
 5984 
 
 6080 
 
 6177 
 
 6273 
 
 6369 
 
 6466 
 
 6562 
 
 6659 
 
 6755 
 
 6852 
 
 
 
 05 
 
 6948 
 
 7044 
 
 7141 
 
 7237 
 
 7334 
 
 7430 
 
 7526 
 
 7623 
 
 7719 
 
 7815 
 
 
 5 49 
 
 
 06 
 
 7912 
 
 8008 
 
 8105 
 
 8201 
 
 8297 
 
 8394 
 
 8490 
 
 8586 
 
 8683 
 
 8779 
 
 
 6bS 
 
 7 6S 
 
 8 78 
 
 
 07 
 
 8876 
 
 8972 
 
 9068 
 
 9165 
 
 9261 
 
 9357 
 
 9454 
 
 9550 
 
 9646 
 
 9743 
 
 
 
 08 
 
 9S39 
 
 9935 
 
 0032 
 
 0128 
 
 0224 
 
 0321 
 
 0417 
 
 0513 
 
 0610 
 
 0706 
 
 
 9187 
 
 
 09 
 
 6540802 
 
 0899 
 
 0995 
 
 1091 
 
 1188 
 
 1284 
 
 1380 
 
 1477 
 
 1573 
 
 1669 
 
 
 
 
 4510 
 
 1765 
 
 1862 
 
 1958 
 
 2054 
 
 2151 
 
 2247 
 
 2343 
 
 2439 
 
 2536 
 
 2632 
 
 
 
 
 11 
 
 2728 
 
 2825 
 
 2921 
 
 3017 
 
 3113 
 
 3210 
 
 3306 
 
 3402 
 
 3498 
 
 3/^95 
 
 
 
 
 12 
 
 3691 
 
 3787 
 
 3883 
 
 3980 
 
 4076 
 
 4172 
 
 4268 
 
 4365 
 
 4461 
 
 4557 
 
 
 
 
 13 
 
 4653 
 
 4750 
 
 4846 
 
 4942 
 
 5038 
 
 5134 
 
 5231 
 
 5327 1 5423 
 
 5519 
 
 
 
 
 14 
 
 5616 
 
 5712 
 
 5808 
 
 5904 
 
 6000 
 
 6097 
 
 6193 
 
 6289 
 
 6385 
 
 6481 
 
 
 
 
 15 
 
 6578 
 
 6674 
 
 6770 
 
 6866 
 
 6962 
 
 705g 
 
 7155 
 
 7251 
 
 7347 
 
 7443 
 
 
 
 
 Id 
 
 7539 
 
 7635 
 
 7732 
 
 7828 
 
 7924 
 
 8020 
 
 8116 
 
 8212 
 
 8309 
 
 8405 
 
 
 
 
 17 
 
 8501 
 
 8597 
 
 8693 
 
 8789 
 
 8885 
 
 8982 
 
 9078 
 
 9174 
 
 9270 
 
 9366 
 
 
 
 
 18 
 
 9462 
 
 9558 
 
 9655 
 
 9751 
 
 9847 
 
 9943 
 
 0039 
 
 0135 
 
 0231 
 
 0327 
 
 
 
 
 19 
 
 6550423 
 
 0520 
 
 0616 
 
 0712 
 
 0808 
 
 0904 
 
 1000 
 
 1096 
 
 1192 
 
 1288 
 
 
 
 
 4520 
 
 1384 
 
 1480 
 
 1577 
 
 1673 
 
 1769 
 
 1865 
 
 1961 
 
 2057 
 
 2153 
 
 2249 
 
 
 
 
 21 
 
 2345 
 
 2441 
 
 2537 
 
 2633 
 
 2729 
 
 2825 
 
 2921 
 
 3017 
 
 3113 
 
 3210 
 
 
 
 
 22 
 
 3306 
 
 3402 
 
 3498 
 
 3594 
 
 3690 
 
 3786 
 
 3882 
 
 3978 
 
 4074 
 
 4170 
 
 
 
 
 23 
 
 4266 
 
 4362 
 
 4458 
 
 4554 
 
 4650 
 
 4746 
 
 4842 
 
 4938 
 
 5034 
 
 5130 
 
 96 
 
 
 
 24 
 
 5226 
 
 5322 
 
 5418 
 
 5514 
 
 5610 
 
 5706 
 
 5802 
 
 5898 
 
 5994 
 
 6090 
 
 
 
 
 25 
 
 6186 
 
 6282 
 
 6378 
 
 6474 
 
 6370 
 
 6666 
 
 6762 
 
 6858 
 
 6954 
 
 7050 
 
 
 
 
 26 
 
 7145 
 
 7241 
 
 7337 
 
 7433 
 
 7529 
 
 7625 
 
 7721 
 
 7817 
 
 7913 
 
 8009 
 
 
 
 
 27 
 
 8105 
 
 8201 
 
 8297 
 
 8393 
 
 8489 
 
 8585 
 
 8681 
 
 8776 
 
 8872 
 
 8968 
 
 
 
 
 28 
 
 9064 
 
 9160 
 
 9256 
 
 9352 
 
 9448 
 
 9544 
 
 9640 
 
 9736 
 
 9831 
 
 9927 
 
 
 
 
 29 
 
 6560023 
 
 0119 
 
 0215 
 
 0311 
 
 0407 
 
 0503 
 
 0599 
 
 0694 
 
 0790 
 
 0886 
 
 
 
 
 4530 
 
 0982 
 
 1078 
 
 1174 
 
 1270 
 
 1365 
 
 1461 
 
 1557 
 
 1653 
 
 1749 
 
 1845 
 
 
 
 
 31 
 
 1941 
 
 2036 
 
 2132 
 
 2228 
 
 2324 
 
 2420 
 
 2516 
 
 2612 
 
 2707 
 
 2803 
 
 
 
 
 32 
 
 2899 
 
 2995 
 
 3091 
 
 3186 
 
 3282 
 
 3378 
 
 3474 
 
 3570 
 
 36G6 
 
 3761 
 
 
 
 
 33 
 
 3857 
 
 3953 
 
 4049 
 
 4145 
 
 4240 
 
 4336 
 
 443-2 
 
 4528 
 
 4624 
 
 4719 
 
 
 
 
 34 
 
 4815 
 
 4911 
 
 5007 
 
 5103 
 
 5198 
 
 5294 
 
 5390 
 
 5486 
 
 5581 
 
 5677 
 
 
 
 
 35 
 
 5773 
 
 5869 
 
 5964 
 
 6060 
 
 6156 
 
 6252 
 
 6347 
 
 6443 
 
 6539 
 
 6635 
 
 
 
 
 36 
 
 6730 
 
 6826 
 
 6922 
 
 7018 
 
 7113 
 
 7209 
 
 7305 
 
 7401 
 
 7496 
 
 7592 
 
 
 
 
 37 
 
 7688 
 
 7784 
 
 7879 
 
 7975 
 
 8071 
 
 8166 
 
 8262 
 
 8358 
 
 8454 
 
 8549 
 
 
 
 
 3S 
 
 8645 
 
 8741 
 
 8836 
 
 8932 
 
 9023 
 
 9 1 23 
 
 9219 
 
 9315 
 
 9410 
 
 9506 
 
 
 
 
 39 
 
 9602 
 
 9698 
 
 9793 
 
 9889 
 
 9985 
 
 0080 
 
 0176 
 
 0272 
 
 0367 
 
 0463 
 
 
 
 
 4540 
 
 6570559 
 
 0654 
 
 0750 
 
 0845 
 
 0941 
 
 1037 
 
 1132 
 
 1228 
 
 1324 
 
 1419 
 
 
 
 
 41 
 
 1515 
 
 J611 
 
 1706 
 
 1802 
 
 1898 
 
 1993 
 
 2089 
 
 2184 
 
 2280 
 
 2376 
 
 
 
 
 42 
 
 2471 
 
 2567 
 
 2663 
 
 2758 
 
 2854 
 
 2949 
 
 3045 
 
 3141 
 
 3236 
 
 3332 
 
 
 96 
 
 
 43 
 
 3427 ! 
 
 3523 
 
 3619 
 
 3714 
 
 3810 
 
 3905 
 
 4001 
 
 4096 
 
 4192 
 
 4288 
 
 
 1 10 
 
 
 44 
 
 43S3 
 
 4479 
 
 457 4 
 
 4670 
 
 4766 
 
 4861 
 
 4957 
 
 5052 
 
 5148 
 
 5243 
 
 
 2 19 
 
 3 29 
 
 
 45 
 
 5339 
 
 5434 
 
 5530 
 
 5626 
 
 5721 
 
 5817 
 
 5912 
 
 6008 
 
 6103 
 
 6199 
 
 
 4 38 
 
 
 46 
 
 6294 
 
 6390 
 
 6485 
 
 6581 
 
 6676 
 
 6772 
 
 6867 
 
 6963 
 
 7059 
 
 7154 
 
 
 5 48 
 
 
 47 
 
 7250 
 
 7345 
 
 7441 
 
 7536 
 
 7632 
 
 7727 
 
 7823 
 
 7918 
 
 8014 
 
 8109 
 
 
 S 58 
 7 07 
 
 i 77 
 
 
 48 
 
 8205 
 
 B300 
 
 8396 
 
 8491 
 
 8587 
 
 8682 
 
 8777 
 
 8873 
 
 8968 
 
 9064 
 
 
 
 49 
 
 N. 
 
 9159 
 
 ^J255 
 
 9350 
 
 2 
 
 34t6 
 
 9541 
 
 4 
 
 9637 
 5 
 
 9732 
 
 6 
 
 9828 
 
 7 
 
 9923 
 
 0019 
 
 
 }'S6 
 
 
 
 
 1 
 
 8 
 
 9 
 
 Dll 
 
 Pt^. 
 
N. 45500 L.6'58 of numbers. {J^) 
 
 N. 
 
 455C 
 
 
 
 1 
 
 0209 
 
 2 
 0305 
 
 3 
 
 0400 
 
 4 
 
 0496 
 
 5 
 
 0591 
 
 6 
 
 0687 
 
 7 
 
 0782 
 
 8 
 
 0877 
 
 9 
 
 0973 
 
 D 
 
 Pro. 
 
 > 6580114 
 
 51 
 
 1068 
 
 1164 
 
 1259 
 
 1355 
 
 1450 
 
 1545 
 
 1641 
 
 1736 
 
 1832 
 
 1927 
 
 
 95 
 
 52 
 
 2023 
 
 2118 
 
 2213 
 
 2309 
 
 2404 
 
 2500 
 
 2595 
 
 269C 
 
 2786 
 
 2881 
 
 
 1 10 
 
 53 
 
 2977 
 
 3072 
 
 3167 
 
 3263 
 
 335^ 
 
 3453 
 
 3549 
 
 3644 
 
 3740 
 
 3835 
 
 
 2 19 
 
 54 
 
 3930 
 
 4026 
 
 4121 
 
 4216 
 
 4312 
 
 4407 
 
 4502 
 
 4598 
 
 4693 
 
 4788 
 
 
 3 29 
 
 4 38 
 
 ^5 
 
 4884 
 
 4979 
 
 5074 
 
 5170 
 
 5265 
 
 5361 
 
 5456 
 
 5551 
 
 5647 
 
 5742 
 
 
 5 48 
 
 56 
 
 5837 
 
 5932 
 
 6028 
 
 6123 
 
 6218 
 
 6314 
 
 6409 
 
 6504 
 
 6600 
 
 6695 
 
 
 6 57 
 
 7 67 
 
 8 76 
 
 57 
 
 6790 
 
 6886 
 
 6981 
 
 7076 
 
 7171 
 
 7267 
 
 7362 
 
 7457 
 
 7553 
 
 7648 
 
 
 58 
 
 7743 
 
 7838 
 
 7934 
 
 8029 
 
 8124 
 
 8220 
 
 8315 
 
 8410 
 
 8505 
 
 8601 
 
 
 9 26 
 
 59 
 
 8696 
 
 8791 
 
 8886 
 
 8982 
 
 9077 
 
 9172 
 
 9267 
 
 9363 
 
 9458 
 
 9553 
 
 
 
 4.560 
 
 9648 
 
 9744 
 
 9839 
 
 9934 
 
 0029 
 
 0125 
 
 0220 
 
 0315 
 
 0410 
 
 0506 
 
 
 
 61 
 
 6590601 
 
 0696 
 
 0791 
 
 0886 
 
 0982 
 
 1077 
 
 1172 
 
 1267 
 
 1362 
 
 1458 
 
 
 
 62 
 
 1553 
 
 1648 
 
 1743 
 
 1838 
 
 1934 
 
 2029 
 
 2124 
 
 2219 
 
 2314 
 
 2410 
 
 
 
 63 
 
 2505 
 
 2600 
 
 2695 
 
 2790 
 
 2885 
 
 2981 
 
 3076 
 
 3171 
 
 3266 
 
 3361 
 
 
 
 64 
 
 3456 
 
 3552 
 
 3647 
 
 3742 
 
 3837 
 
 3932 
 
 4027 
 
 4122 
 
 4218 
 
 4313 
 
 
 
 65 
 
 4408 
 
 4503 
 
 4598 
 
 4693 
 
 4788 
 
 4883 
 
 4979 
 
 5074 
 
 5169 
 
 5264 
 
 
 
 66 
 
 5359 
 
 5454 
 
 5549 
 
 5644 
 
 5740 
 
 5835 
 
 5930 
 
 6025 
 
 6120 
 
 6215 
 
 
 
 61 
 
 6310 
 
 6405 
 
 6500 
 
 6595 
 
 6690 
 
 6786 
 
 6881 
 
 6976 
 
 7071 
 
 7166 
 
 
 
 68 
 
 7261 
 
 7356 
 
 7451 
 
 7546 
 
 7641 
 
 7736 
 
 7831 
 
 7926 
 
 8021 
 
 8117 
 
 
 
 69 
 
 8212 
 
 8307 
 
 8402 
 
 8497 
 
 8592 
 
 8687 
 
 8782 
 
 8877 
 
 8972 
 
 9067 
 
 
 
 4570 
 
 9162- 
 
 9257 
 
 9352 
 
 9447 
 
 9542 
 
 9637 
 
 9732 
 
 9827 
 
 9922 
 
 0017 
 
 
 
 71 
 
 6600112 
 
 0207 
 
 0302 
 
 0397 
 
 0492 
 
 0587 
 
 0682 
 
 0777 
 
 0872 
 
 0967 
 
 95 
 
 
 72 
 
 1062 
 
 1157 
 
 1252 
 
 1347 
 
 1442 
 
 1537 
 
 1632 
 
 1727 
 
 1822 
 
 1917 
 
 
 
 73 
 
 2012 
 
 2107 
 
 2202 
 
 2297 
 
 2392 
 
 2487 
 
 2582 
 
 2677 
 
 2772 
 
 2867 
 
 
 
 74 
 
 2962 
 
 3057 
 
 3151 
 
 3246 
 
 3341 
 
 3436 
 
 3531 
 
 3626 
 
 3721 
 
 3816 
 
 
 
 75 
 
 3911 
 
 4006 
 
 4101 
 
 4196 
 
 4291 
 
 4386 
 
 4481 
 
 4575 
 
 4670 
 
 4765 
 
 
 
 76 
 
 4860 
 
 4955 
 
 5050 
 
 5145 
 
 5240 
 
 5335 
 
 5430 
 
 5524 
 
 5619 
 
 5714 
 
 
 
 77 
 
 5809 
 
 5904 
 
 5999 
 
 6094 
 
 6189 
 
 6284 
 
 6378 
 
 6473 
 
 6568 
 
 6663 
 
 
 
 78 
 
 6758 
 
 6853 
 
 6948 
 
 7042 
 
 7137 
 
 7232 
 
 7327 
 
 7422 
 
 7517 
 
 7612 
 
 
 
 79 
 
 7706 
 
 7801 
 
 7896 
 
 7991 
 
 8086 
 
 8181 
 
 8275 
 
 8370 
 
 8465 
 
 8560 
 
 
 
 4580 
 
 8655 
 
 8750 
 
 8S44 
 
 8939 
 
 9034 
 
 9129 
 
 9224 
 
 9318 
 
 9413 
 
 9508 
 
 
 
 81 
 
 9605 
 
 9698 
 
 9793 
 
 9887 
 
 9982 
 
 0077 
 
 0172 
 
 0266 
 
 0361 
 
 0456 
 
 
 
 • 82 
 
 6610551 
 
 0646 
 
 0740 
 
 0835 
 
 0930 
 
 1025 
 
 il20 
 
 1214 
 
 1309 
 
 1404 
 
 
 
 83 
 
 1499 
 
 1593 
 
 1688 
 
 1783 
 
 1878 
 
 1972 
 
 2067 
 
 2162 
 
 2257 
 
 2351 
 
 
 ' 
 
 84 
 
 2446 
 
 2541 
 
 2636 
 
 2730 
 
 2825 
 
 2920 
 
 3015 
 
 3109 
 
 3204 
 
 3299 
 
 
 
 85 
 
 3393 
 
 3488 
 
 3583 
 
 3678 
 
 3772 
 
 3867 
 
 3962 
 
 4056 
 
 4151 
 
 4246 
 
 
 
 SO 
 
 4341 
 
 4435 
 
 4530 
 
 4625 
 
 4719 
 
 4814 
 
 4909 
 
 5003 
 
 5098 
 
 5193 
 
 
 
 87 
 
 5287 
 
 5382 
 
 5477 
 
 5571 
 
 5666 
 
 5761 
 
 5855 
 
 5950 
 
 6045 
 
 6139 
 
 
 
 88 
 
 6234 
 
 6329 
 
 6423 
 
 6518 
 
 6613 
 
 6707 
 
 6802 
 
 6897 
 
 6991 
 
 7086 
 
 
 
 89 
 
 7181 
 
 7275 
 
 7370 
 
 7464 
 
 7559 
 
 7654 
 
 7748 
 
 7843 
 
 7938 
 
 8032 
 
 
 
 4590 
 
 8127 
 
 8221 
 
 8316 
 
 8411 
 
 8505 
 
 8600 
 
 8695 
 
 8789 
 
 8884 
 
 8978 
 
 
 
 91 
 
 9073 
 
 9168 
 
 9262 
 
 9357 
 
 9451 
 
 9546 
 
 9640 
 
 9735 
 
 9830 
 
 9924 
 
 
 
 92 
 
 6620019 
 
 0113 
 
 0208 
 
 0303 
 
 0397 
 
 0492 
 
 0586 
 
 0681 
 
 0775 
 
 0870 
 
 
 94 
 
 .93 
 
 096'4 
 
 1059 
 
 1154 
 
 121.8 
 
 1343 
 
 1437 
 
 1532 
 
 1626 
 
 1721 
 
 1815 
 
 
 1 9 
 
 94 
 
 1910 
 
 2004 
 
 2099 
 
 2194 
 
 2288 
 
 2383 
 
 2477 
 
 2572 
 
 2666 
 
 2761 
 
 
 2 19 
 
 3 28 
 
 95 
 
 2855 
 
 2950 
 
 3044 
 
 3159 
 
 3233 
 
 3328 
 
 3422 
 
 3517 
 
 3611 
 
 'i106 
 
 
 4 38 
 
 96 
 
 3800 
 
 3895 
 
 3989 
 
 4084 
 
 4178 
 
 4273 
 
 4367 
 
 4462 
 
 1.556 
 
 %65\ 
 
 
 5 47 
 
 97 
 
 4745 
 
 4840 
 
 4934 
 
 5028 
 
 5123 
 
 5217 
 
 5312 
 
 5406 
 
 5501 
 
 5595 
 
 
 6' j6 
 
 7 G6 
 
 8 75 
 
 98 
 
 5690 
 
 5784 
 
 5879 
 
 5973 
 
 6067 
 
 6162 
 
 6256 
 
 3351 
 
 J445 
 
 3540 
 
 
 99 
 
 N. 
 
 6634 
 
 6729 
 1 
 
 6823 
 2 1 
 
 6917 
 3 
 
 7012 
 
 4 
 
 7106 
 
 •5 
 
 7201 ' 
 
 7295 ' 
 
 7 
 
 7389 ' 
 
 8 1 
 
 7484 
 
 9 
 
 D J 
 
 9 '^.5 
 
 1 
 
 6 
 
 Pts. 
 
(78) 
 
 i,0GARiTHMs N. 46000 L.662 
 
 N. 
 
 4600 
 
 
 
 1 
 
 7673 
 
 2 
 
 3 
 
 7862 
 
 4 
 
 7956 
 
 5 
 
 8050 
 
 6 
 
 8145 
 
 7 
 
 8239 
 
 8 
 
 9 
 
 8428 
 
 D 
 
 Pro. 
 
 6627578 
 
 7767 
 
 8334 
 
 01 
 
 8522 
 
 8617 
 
 8711 
 
 8805 
 
 8900 
 
 8994 
 
 9089 
 
 9183 
 
 9277 
 
 9372 
 
 
 95 
 
 02 
 
 9466 
 
 9561 
 
 9655 
 
 9749 
 
 9844 
 
 9938 
 
 0O32 
 
 0127 
 
 0221 
 
 0315 
 
 
 1 10 
 
 03 
 
 6630410 
 
 0504 
 
 0598 
 
 0693 
 
 0787 
 
 0881 
 
 0976 
 
 1070 
 
 1164 
 
 1259 
 
 
 2 19 
 
 3 29 
 
 4 38 
 
 04 
 
 1353 
 
 1447 
 
 1542 
 
 1636 
 
 1730 
 
 1825 
 
 1919 
 
 2013 
 
 2108 
 
 2202 
 
 
 05 
 
 2296 
 
 2391 
 
 2485 
 
 2579 
 
 2674 
 
 2768 
 
 2862 
 
 2956 
 
 3051 
 
 3145 
 
 
 5 48 
 
 06 
 
 3239 
 
 3334 
 
 3428 
 
 3522 
 
 3616 
 
 3711 
 
 3805 
 
 3899 
 
 3994 
 
 4088 
 
 
 6 57 
 
 7 67 
 
 8 76 
 
 07 
 
 4182 
 
 4276 
 
 4371 
 
 4165 
 
 4559 
 
 4653 
 
 4748 
 
 4842 
 
 4936 
 
 5030 
 
 
 08 
 
 5125 
 
 5219 
 
 5313 
 
 5407 
 
 5502 
 
 5596 
 
 5690 
 
 5784 
 
 5879 
 
 5973 
 
 
 9 86 
 
 09 
 
 6057 
 
 6161 
 
 6256 
 
 6350 
 
 6444 
 
 6538 
 
 6632 
 
 6727 
 
 6821 
 
 6915 
 
 
 
 4610 
 
 7009 
 
 7103 
 
 7198 
 
 7292 
 
 7386 
 
 7480 
 
 7574 
 
 7669 
 
 7763 
 
 7857 
 
 
 
 11 
 
 7951 
 
 8045 
 
 8140 
 
 8234 
 
 8328 
 
 8422 
 
 8516 
 
 8610 
 
 8705 
 
 8799 
 
 
 
 12 
 
 8893 
 
 8987 
 
 9081 
 
 9175 
 
 9270 
 
 9364 
 
 9458 
 
 9552 
 
 9646 
 
 9740 
 
 
 
 13 
 
 9835 
 
 9929 
 
 0023 
 
 0117 
 
 0211 
 
 0305 
 
 0399 
 
 0494 
 
 0588 
 
 0682 
 
 
 
 14 
 
 6640776 
 
 0870 
 
 0964 
 
 1058 
 
 1152 
 
 1247 
 
 1341 
 
 1435 
 
 1529 
 
 1623 
 
 
 
 1.5 
 
 1717 
 
 1811 
 
 1905 
 
 1999 
 
 2093 
 
 2188 
 
 2282 
 
 2376 
 
 2470 
 
 2564 
 
 
 
 16 
 
 2658 
 
 2752 
 
 2846 
 
 2940 
 
 3034 
 
 3128 
 
 3222 
 
 3317 
 
 3411 
 
 3505 
 
 
 
 17 
 
 3599 
 
 3693 
 
 3787 
 
 3881 
 
 3975 
 
 4069 
 
 4163 
 
 4257 
 
 4351 
 
 4445 
 
 
 
 18 
 
 4539 
 
 4633 
 
 4727 
 
 4821 
 
 4915 
 
 5009 
 
 5104 
 
 5198 
 
 5292 
 
 5386 
 
 
 
 19 
 
 5480 
 
 5574 
 
 5668 
 
 5762 
 
 5856 
 
 5950 
 
 6044 
 
 6138 
 
 6232 
 
 6326 
 
 94 
 
 
 4620 
 
 6420 
 
 6514 
 
 6608 
 
 6702 
 
 6796 
 
 6890 
 
 6984 
 
 7078 
 
 7172 
 
 7266 
 
 
 21 
 
 7360 
 
 7454 
 
 7548 
 
 7642 
 
 7736 
 
 7830 
 
 7924 
 
 8018 
 
 8111 
 
 8205 
 
 
 
 22 
 
 8299 
 
 8393 
 
 8487 
 
 8581 
 
 8675 
 
 8769 
 
 8863 
 
 895'7 
 
 9051 
 
 9145 
 
 
 
 23 
 
 9239 
 
 9333 
 
 9427 
 
 9521 
 
 9615 
 
 9709 
 
 9803 
 
 9896 
 
 9990 
 
 0084 
 
 
 
 24 
 
 6650178 
 
 0272 
 
 0366 
 
 0460 
 
 0554 
 
 0648 
 
 0742 
 
 0836 
 
 0930 
 
 1023 
 
 
 
 25 
 
 1117 
 
 1211 
 
 1305 
 
 1399 
 
 1493 
 
 1587 
 
 1681 
 
 1775 
 
 1869 
 
 1962 
 
 
 
 26 
 
 2056 
 
 2150 
 
 2244 
 
 2338 
 
 2432 
 
 2526 
 
 2620 
 
 2713 
 
 2807 
 
 2901 
 
 
 
 27 
 
 2995 
 
 3089 
 
 3183 
 
 3277 
 
 3370 
 
 3464 
 
 3558 
 
 3652 
 
 3746 
 
 3840 
 
 
 
 28 
 
 3934 
 
 4027 
 
 4121 
 
 4215 
 
 4309 
 
 4403 
 
 4497 
 
 4590 
 
 4684 
 
 4778 
 
 
 
 29 
 
 4872 
 
 4966 
 
 5059 
 
 5153 
 
 5247 
 
 5341 
 
 5435 
 
 5529 
 
 5622 
 
 5716 
 
 
 
 4630 
 
 5810 
 
 5904 
 
 5998 
 
 6091 
 
 6185 
 
 6279 
 
 6373 
 
 6466 
 
 6560 
 
 6654 
 
 
 
 31 
 
 6748 
 
 6842 
 
 6935 
 
 7029 
 
 7123 
 
 7217 
 
 7310 
 
 7404 
 
 7498 
 
 7592 
 
 
 
 32 
 
 7686 
 
 7779 
 
 7873 
 
 7967 
 
 8061 
 
 8154 
 
 8248 
 
 8342 
 
 8436 
 
 8529 
 
 
 
 33 
 
 8623 
 
 8717 
 
 8810 
 
 8904 
 
 8998 
 
 9092 
 
 9185 
 
 9279 
 
 9373 
 
 9467 
 
 
 
 34 
 
 9560 
 
 9654 
 
 9748 
 
 9841 
 
 9935 
 
 S029 
 
 0123 
 
 0216 
 
 0310 
 
 0404 
 
 
 
 35 
 
 6660497 
 
 0591 
 
 0685 
 
 0778 
 
 0872 
 
 0966 
 
 1060 
 
 1153 
 
 J 247 
 
 1341 
 
 
 
 36 
 
 1434 
 
 1528 
 
 1622 
 
 1715 
 
 1809 
 
 1903 
 
 1996 
 
 2090 
 
 2184 
 
 2277 
 
 
 
 37 
 
 2371 
 
 ^465 
 
 2558 
 
 2652 
 
 2746 
 
 2839 
 
 2933 
 
 3027 
 
 3120 
 
 3214 
 
 
 
 38 
 
 3^07 
 
 3401 
 
 3495 
 
 3588 
 
 3682 
 
 3776 
 
 3869 
 
 3963 
 
 4056 
 
 4150 
 
 
 
 39 
 
 4244 
 
 4337 
 
 4431 
 
 4525 
 
 4618 
 
 4712 
 
 4805 
 
 4899 
 
 4993 
 
 5086 
 
 
 
 4640 
 
 5180 
 
 527 3 
 
 5367 
 
 5461 
 
 5554 
 
 5643 
 
 5741 
 
 5835 
 
 5929 
 
 6022 
 
 
 
 41 
 
 6116 
 
 6209 
 
 6303 
 
 6396 
 
 6490 
 
 6584 
 
 6677 
 
 6771 
 
 6864 
 
 6958 
 
 
 
 42 
 
 7051 
 
 7145 
 
 7238 
 
 7332 
 
 7426 
 
 7519 
 
 7613 
 
 7706 
 
 7800 
 
 7893 
 
 
 94 
 
 43 
 
 7987 
 
 8030 
 
 8174 
 
 8267 
 
 8361 
 
 8454 
 
 8548 
 
 8642 
 
 8735 
 
 8829 
 
 
 1 9 
 
 44 
 
 8922 
 
 9016 
 
 9109 
 
 9203 
 
 9296 
 
 9390 
 
 9483 
 
 9577 
 
 9670 
 
 9764 
 
 
 2 19 
 
 3 28 
 
 45 
 
 9857 
 
 9951 
 
 0044 
 
 0138 
 
 0231 
 
 0325 
 
 0418 
 
 0512 
 
 0605 
 
 0699 
 
 
 4 38 
 
 4a 
 
 6670792 
 
 0886 
 
 0979 
 
 1072 
 
 1166 
 
 1259 
 
 1353 
 
 1446 
 
 1540 
 
 1633 
 
 
 5 47 
 
 47 
 
 1727 
 
 1820 
 
 1914 
 
 2007 
 
 2101 
 
 2194 
 
 2287 
 
 2381 
 
 2474 
 
 2568 
 
 
 6 56 
 
 7 66 
 
 8 75 
 
 48 
 
 2561 
 
 2755 
 
 2848 
 
 2941 
 
 3035 
 
 3128 
 
 3222 
 
 3315 
 
 3409 
 
 3502 
 
 
 49 
 
 3595 
 
 3689 
 I 
 
 3782 
 2 
 
 3876 
 
 3 
 
 3969 
 
 4 
 
 4063 
 5 
 
 4156 
 
 4249 
 
 7 
 
 4343 
 8 
 
 4436 
 
 9 
 
 _dJ 
 
 9 85 
 Pts. 
 
 
 
N. 46500 L. 667 of numbers. (79) 
 
 N. 
 
 4650 
 
 
 
 1 
 
 4623 
 
 2 
 4716 
 
 3 
 
 4 
 
 4903 
 
 5 
 
 6 
 
 5090 
 
 7 
 
 5183 
 
 8 
 
 5277 
 
 9 
 
 5370 
 
 D 
 
 Pro. 
 
 6674530 
 
 4810 
 
 4996 
 
 51 
 
 5463 
 
 5557 
 
 5650 
 
 5744 
 
 5837 
 
 5930 
 
 6024 
 
 6117 
 
 6210 
 
 6304 
 
 
 93 
 
 52 
 
 6397 
 
 6490 
 
 6584 
 
 6677 
 
 6770 
 
 6864 
 
 6957 
 
 7051 
 
 7144 
 
 7237 
 
 
 1 
 
 9 
 
 53 
 
 7331 
 
 7424 
 
 7517 
 
 7611 
 
 7704 
 
 7797 
 
 7891 
 
 7984 
 
 8077 
 
 8170 
 
 
 2 
 
 19 
 
 54 
 
 8264 
 
 8357 
 
 8450 
 
 8544 
 
 8637 
 
 8730 
 
 8824 
 
 8917 
 
 9010 
 
 9104 
 
 
 S 
 4 
 
 28 
 37 
 
 55 
 
 9197 
 
 9290 
 
 9383 
 
 9477 
 
 9570 
 
 9663 
 
 9757. 
 
 9850 
 
 9943 
 
 0036 
 
 
 5 
 
 47 
 
 56 
 
 6680130 
 
 0223 
 
 0316 
 
 0410 
 
 0503 
 
 0596 
 
 0689 
 
 0783 
 
 0876 
 
 0969 
 
 
 G 
 
 56 
 
 57 
 
 1062 
 
 1156 
 
 1249 
 
 1342 
 
 1435 
 
 1529 
 
 1622 
 
 1715 
 
 1808 
 
 1902 
 
 
 7 
 8 
 9 
 
 65 
 
 74 
 r4' 
 
 58 
 
 1995 
 
 2088 
 
 2181 
 
 2275 
 
 2368 
 
 2461 
 
 2554 
 
 2647 
 
 2741 
 
 2834 
 
 
 59 
 
 2927 
 
 3020 
 
 3114 
 
 3207 
 
 3300 
 
 3393 
 
 3486 
 
 3580 
 
 3673 
 
 3766 
 
 
 
 4660 
 
 3859 
 
 3952 
 
 4046 
 
 4139 
 
 4232 
 
 4325 
 
 4418 
 
 4511 
 
 4605 
 
 4698 
 
 
 
 61 
 
 4791 
 
 4884 
 
 4977 
 
 5071 
 
 5164 
 
 5257 
 
 5350 
 
 5443 
 
 5536 
 
 5630 
 
 
 
 62 
 
 5723 
 
 5816 
 
 5909 
 
 «002 
 
 6095 
 
 6188 
 
 6282 
 
 6375 
 
 6468 
 
 6561 
 
 
 
 63 
 
 6654 
 
 6747 
 
 6840 
 
 6934 
 
 7027 
 
 7120 
 
 7213 
 
 7306 
 
 7399 
 
 7492 
 
 
 
 64 
 
 7585 
 
 7679 
 
 7772 
 
 7865 
 
 7958 
 
 8051 
 
 8144 
 
 8237 
 
 8330 
 
 8423 
 
 
 
 65 
 
 8516 
 
 8610 
 
 8703 
 
 8796 
 
 8889 
 
 8982 
 
 9075 
 
 9168 
 
 9261 
 
 9354 
 
 
 
 66 
 
 9447 
 
 9540 
 
 9633 
 
 9727 
 
 9820 
 
 9913 
 
 0006 
 
 0099 
 
 0192 
 
 0285 
 
 
 
 67 
 
 6690378 
 
 0471 
 
 0564 
 
 0657 
 
 0750 
 
 0843 
 
 0936 
 
 1029 
 
 1122 
 
 1215 
 
 
 
 68 
 
 1308 
 
 1402 
 
 1495 
 
 1588 
 
 1681 
 
 1774 
 
 1867 
 
 1960 
 
 2053 
 
 2146 
 
 
 
 69 
 
 2239 
 
 2332 
 
 2425 
 
 2518 
 
 2611 
 
 2704 
 
 2797 
 
 2890 
 
 2983 
 
 3076 
 
 93 
 
 
 4670 
 
 3169, 
 
 3262 
 
 3355 
 
 3448 
 
 3541 
 
 3634 
 
 3727 
 
 3820 
 
 3913 
 
 4006 
 
 
 
 71 
 
 4099 
 
 4192 
 
 4285 
 
 4378 
 
 4471 
 
 4564 
 
 4656 
 
 4749 
 
 484^ 
 
 4935 
 
 
 
 72 
 
 5028 
 
 5121 
 
 5214 
 
 5307 
 
 5400 
 
 5493 
 
 5586 
 
 5679 
 
 5772 
 
 5865 
 
 
 
 73 
 
 5958 
 
 605 r 
 
 6144 
 
 6237 
 
 6330 
 
 6422 
 
 6515 
 
 6608 
 
 6701 
 
 6794 
 
 
 
 74 
 
 6887 
 
 6980 
 
 7073 
 
 7166 
 
 7259 
 
 7352 
 
 7445 
 
 7537 
 
 7630 
 
 7723 
 
 
 
 75 
 
 7816 
 
 7909 
 
 8002 
 
 8095 
 
 8188 
 
 8281 
 
 8373 
 
 8466 
 
 8559 
 
 8652 
 
 
 
 76 
 
 8745 
 
 8838 
 
 8931 
 
 9024 
 
 9117 
 
 9209 
 
 9302 
 
 9395 
 
 9488 
 
 9581 
 
 
 
 77 
 
 9674 
 
 9767 
 
 9859 
 
 9952 
 
 0045 
 
 0138 
 
 0231 
 
 0324 
 
 0416 
 
 0509 
 
 
 
 78 
 
 6700602 
 
 0695 
 
 0788 
 
 0881 
 
 0974 
 
 1066 
 
 1159 
 
 1252 
 
 1345 
 
 1438 
 
 
 
 79 
 
 1530 
 
 1623 
 
 1716 
 
 1809 
 
 1902 
 
 1995 
 
 2087 
 
 218Q 
 
 2273 
 
 2366 
 
 
 
 4680 
 
 2459 
 
 2551 
 
 2644 
 
 2737 
 
 2830 
 
 2922 
 
 3015 
 
 3108 
 
 3201 
 
 3294 
 
 
 
 81 
 
 3386 
 
 3479 
 
 3572 
 
 3665 
 
 3758 
 
 3850 
 
 3943 
 
 4036 
 
 4129 
 
 4221 
 
 
 
 82 
 
 4314^ 
 
 ^4407 
 
 4500 
 
 4592 
 
 4685 
 
 4778 
 
 4871 
 
 4963 
 
 5056 
 
 5149 
 
 
 
 83 
 
 5242 
 
 5334 
 
 5427 
 
 5520 
 
 5613 
 
 5705 
 
 5798 
 
 5891 
 
 5983 
 
 6076 
 
 
 
 84 
 
 6169 
 
 6262 
 
 6354 
 
 6447 
 
 6540 
 
 6632 
 
 6725 
 
 6818 
 
 6911 
 
 7003 
 
 
 
 85 
 
 7096 
 
 7189 
 
 7281 
 
 7374 
 
 7467 
 
 7559 
 
 7652 
 
 7745 
 
 7837 
 
 7930 
 
 
 
 86 
 
 8023 
 
 8116 
 
 8208 
 
 8301 
 
 8394 
 
 8486 
 
 8579 
 
 8672 
 
 8764 
 
 8857 
 
 
 
 87 
 
 8950 
 
 9042 
 
 9135 
 
 9228 
 
 9320 
 
 9413 
 
 9505 
 
 9598 
 
 9691 
 
 9783 
 
 
 
 88 
 
 9876 
 
 9969 
 
 0061 
 
 0154 
 
 0247 
 
 0339 
 
 0432 
 
 0524 
 
 0617 
 
 0710 
 
 
 
 89 
 
 6710802 
 
 0895 
 
 0988 
 
 1080 
 
 1173 
 
 1265 
 
 135S 
 
 1451 
 
 1543 
 
 1636 
 
 
 
 4690 
 
 1728 
 
 1821 
 
 1914 
 
 2006 
 
 2099 
 
 2191 
 
 2284 
 
 2377 
 
 2469 
 
 2562 
 
 
 
 91 
 
 2654 
 
 2747 
 
 2839 
 
 2932 
 
 3025 
 
 3117 
 
 3210 
 
 3302 
 
 3395 
 
 3487 
 
 
 
 92 
 
 3580 
 
 3673 
 
 3765 
 
 3858 
 
 3950 
 
 4043 
 
 4135 
 
 4228 
 
 4320 
 
 4413 
 
 
 92 
 
 93 
 
 4506 
 
 4598 
 
 4691 
 
 4783 
 
 4876 
 
 4968 
 
 5061 
 
 5153 
 
 5246 
 
 5338 
 
 
 1 
 
 9 
 
 94 
 
 5431 
 
 5523 
 
 5616 
 
 5708 
 
 580J 
 
 5893 
 
 5986 
 
 6078 
 
 6171 
 
 6263 
 
 
 2 
 
 3 
 
 18 
 
 28 
 
 95 
 
 6356 
 
 6448 
 
 6541 
 
 6633 
 
 6726 
 
 6818 
 
 6911 
 
 7003 
 
 7096 
 
 7188 
 
 
 4 
 
 37 
 
 96 
 
 7281 
 
 7373 
 
 7466 
 
 7558 
 
 7651 
 
 7743 
 
 7836 
 
 7928 
 
 8021 
 
 8113 
 
 
 5 
 
 46 
 
 97 
 
 8206 
 
 8298 
 
 8391 
 
 8483 
 
 8575 
 
 8668 
 
 8760 
 
 8853 
 
 8945 
 
 9038 
 
 
 G 
 7 
 8 
 
 55 
 
 64 
 74 
 
 98 
 
 9130 
 
 9223 
 
 9315 
 
 9407 
 
 9500 
 
 9592 
 
 9685 
 
 9777 
 
 9870 
 
 9962 
 
 
 99 
 
 N. 
 
 6720054 
 
 0147 
 1 
 
 0239 
 
 2 
 
 0332 
 
 0424 
 
 4 
 
 0517 
 5 
 
 0609 
 
 6 
 
 0701 
 
 7 
 
 0794 
 8 
 
 0886 
 
 9 
 
 D 
 
 9 
 
 83 
 
 
 
 3 
 
 P 
 
 ts. 
 
(80) 
 
 LOGARITHMS N. 47000 L. 672 
 
 N. 
 
 4700 
 
 
 
 6720979 
 
 1 
 
 TotT 
 
 2 
 1 1 63 
 
 3 
 
 1256 
 
 4 
 
 1348 
 
 5 
 
 6 
 
 1533 
 
 7 
 
 1625 
 
 8 
 
 1718 
 
 9 
 
 1810 
 
 D 
 
 Pro. 
 
 1441 
 
 01 
 
 1903 
 
 1995 
 
 2087 
 
 2180 
 
 2272 
 
 2364 
 
 2457 
 
 2549 
 
 2642 
 
 2734 
 
 
 93 
 
 02 
 
 2826 
 
 2919 
 
 3011 
 
 3103 
 
 3196 
 
 3283 
 
 3380 
 
 3473 
 
 3565 
 
 3657 
 
 
 1 
 
 9 
 
 03 
 
 3750 
 
 3842 
 
 3934 
 
 4027 
 
 4119 
 
 4211 
 
 4304 
 
 4396 
 
 4488 
 
 4581 
 
 
 2 
 
 19 
 
 04 
 
 4673 
 
 4765 
 
 4858 
 
 4950 
 
 5042 
 
 5135 
 
 5227 
 
 5319 
 
 5412 
 
 5504 
 
 
 3 
 
 4 
 
 28 
 37 
 47 
 
 05 
 
 5596 
 
 5689 
 
 5781 
 
 5873 
 
 5965 
 
 6058 
 
 6150 
 
 6242 
 
 6335 
 
 6427 
 
 
 5 
 
 06 
 
 6519 
 
 6612 
 
 6704 
 
 6796 
 
 6888 
 
 6981 
 
 7073 
 
 7165 
 
 7257 
 
 7350 
 
 
 6 
 
 5^ 
 
 07 
 
 7442 
 
 7534 
 
 7627 
 
 7719 
 
 7811 
 
 7903 
 
 7996 
 
 8088 
 
 8180 
 
 8272 
 
 
 7 
 8 
 9 
 
 65 
 74 
 
 08 
 
 8365 
 
 8457 
 
 8549 
 
 8641 
 
 8734 
 
 8826 
 
 8918 
 
 9010 
 
 9102 
 
 9195 
 
 
 09 
 
 9287 
 
 9379 
 
 9471 
 
 9564 
 
 9656 
 
 9748 
 
 9840 
 
 9932 
 
 0025 
 
 0117 
 
 
 
 4710 
 
 6730209 
 
 0301 
 
 0393 
 
 0486 
 
 0578 
 
 0670 
 
 0762 
 
 0854 
 
 0947 
 
 1039 
 
 
 
 11 
 
 1131 
 
 1223 
 
 1315 
 
 1408 
 
 1500 
 
 1592 
 
 1684 
 
 1776 
 
 1868 
 
 1961 
 
 
 
 12 
 
 .2053 
 
 2145 
 
 .2237 
 
 2329 
 
 2421 
 
 2514 
 
 2606 
 
 2698 
 
 2790 
 
 2882 
 
 
 
 13 
 
 2974 
 
 3067 
 
 3159 
 
 3251 
 
 3343 
 
 3435 
 
 3527 
 
 3619 
 
 3712 
 
 3804 
 
 
 
 14 
 
 3896 
 
 3988 
 
 4080 
 
 4172 
 
 4264 
 
 4356 
 
 4449 
 
 4541 
 
 4633 
 
 4725 
 
 
 
 15 
 
 4817 
 
 4909 
 
 5001 
 
 5093 
 
 5185 
 
 5277 
 
 5370 
 
 5462 
 
 5554 
 
 5646 
 
 
 
 16 
 
 5738 
 
 5830 
 
 5922 
 
 6014 
 
 6106 
 
 6198 
 
 6290 
 
 6383 
 
 6475 
 
 6567 
 
 
 
 17 
 
 6659 
 
 6751 
 
 6843 
 
 6935 
 
 7027 
 
 7119 
 
 7211 
 
 7303 
 
 7395 
 
 7487 
 
 
 
 18 
 
 7579 
 
 7671 
 
 7763 
 
 7856 
 
 7948 
 
 8040 
 
 8132 
 
 8224 
 
 8316 
 
 8408 
 
 
 
 19 
 
 8500 
 
 8592 
 
 8684 
 
 8776 
 
 8868 
 
 8960 
 
 9052 
 
 9144 
 
 9236 
 
 9328 
 
 92 
 
 
 4720 
 
 9420 
 
 9512 
 
 9604 
 
 9696 
 
 9788 
 
 9880 
 
 9972 
 
 0064 
 
 0156 
 
 0248 
 
 
 21 
 
 6740340 
 
 0432 
 
 0524 
 
 0616 
 
 0708 
 
 0800 
 
 0892 
 
 0984 
 
 1076 
 
 1168 
 
 
 
 22 
 
 1260 
 
 1352 
 
 1444 
 
 1536 
 
 1628 
 
 1720 
 
 1812 
 
 '1904 
 
 1996 
 
 2038 
 
 
 
 23 
 
 2179 
 
 2271 
 
 2363 
 
 2455 
 
 2547 
 
 2639 
 
 2731 
 
 2823 
 
 2915 
 
 3007 
 
 
 
 24 
 
 3099 
 
 3191 
 
 3283 
 
 3375 
 
 3467 
 
 3559 
 
 3650 
 
 3742 
 
 3834 
 
 3926 
 
 
 
 25 
 
 4018 
 
 4110 
 
 4202 
 
 4294 
 
 4386 
 
 4478 
 
 4570 
 
 4661 
 
 4753 
 
 4^45 
 
 
 
 26 
 
 4937 
 
 5029 
 
 5121 
 
 5213 
 
 5305 
 
 5397 
 
 5489 
 
 5580 
 
 5672 
 
 5764 
 
 
 
 27 
 
 5856 
 
 5948 
 
 6040 
 
 6132 
 
 6224 
 
 6315 
 
 6407 
 
 6499 
 
 6591 
 
 6683 
 
 
 
 28 
 
 6775 
 
 6867 
 
 6958 
 
 7050 
 
 7142 
 
 7234 
 
 7326 
 
 7418 
 
 7509 
 
 7601 
 
 
 
 29 
 
 7693 
 
 7785 
 
 7877 
 
 7969 
 
 8060 
 
 8152 
 
 8244 
 
 8336 
 
 8428 
 
 8520 
 
 
 
 4730 
 
 8611 
 
 8703 
 
 8795 
 
 8887 
 
 8979 
 
 9070 
 
 9162 
 
 9254 
 
 9346 
 
 9438 
 
 
 
 31 
 
 9529 
 
 9621 
 
 9713 
 
 9805 
 
 9897 
 
 9988 
 
 0080 
 
 0172 
 
 0264 
 
 0356 
 
 
 
 32 
 
 6750447 
 
 0539 
 
 0631 
 
 0723 
 
 0814 
 
 0906 
 
 0998 
 
 1090 
 
 1182 
 
 1273 
 
 
 
 33 
 
 1365 
 
 1457 
 
 1549 
 
 1640 
 
 1732 
 
 1824 
 
 1916 
 
 2007 
 
 2099 
 
 2191 
 
 
 
 34 
 
 2283 
 
 2374 
 
 2466 
 
 2558 
 
 2649 
 
 274] 
 
 2833 
 
 2925 
 
 3016 
 
 3108 
 
 
 
 S5 
 
 3200 
 
 3292 
 
 3383 
 
 3475 
 
 3567 
 
 3658 
 
 3750 
 
 3842 
 
 ;3934 
 
 4025 
 
 
 
 36 
 
 4117 
 
 4209 
 
 4300 
 
 4392 
 
 4484 
 
 4575 
 
 4667 
 
 4759 
 
 4850 
 
 4942 
 
 
 
 37 
 
 5034 
 
 5126 
 
 5217 
 
 5309 
 
 5401 
 
 5492 
 
 5584 
 
 5676 
 
 5767 
 
 5859 
 
 
 
 38 
 
 5951 
 
 6042 
 
 6134 
 
 6226 
 
 6317 
 
 6409 
 
 6501 
 
 6592 
 
 6684 
 
 6775 
 
 
 
 39 
 
 6867 
 
 6959 
 
 7050 
 
 7142 
 
 7234 
 
 7325 
 
 7417 
 
 7509 
 
 7600 
 
 7692 
 
 
 
 4740 
 
 7783 
 
 7875 
 
 7967 
 
 8058 
 
 8150 
 
 8242 
 
 8333 
 
 8425 
 
 8516 
 
 8608 
 
 
 
 41 
 
 8700 
 
 8791 
 
 8883 
 
 8974 
 
 9066 
 
 9158 
 
 9249 
 
 9341 
 
 9432 
 
 9524 
 
 
 
 42 
 
 9615 
 
 9707 
 
 9799 
 
 9890 
 
 9982 
 
 0073 
 
 0165 
 
 0257 
 
 0348 
 
 0440 
 
 
 92 
 
 43 
 
 6760531 
 
 0623 
 
 0714 
 
 0806 
 
 0897 
 
 0989 
 
 1081 
 
 1172 
 
 1264 
 
 1355 
 
 
 11 9 
 
 44 
 
 1447 
 
 1538 
 
 1630 
 
 1721 
 
 1813 
 
 1905 
 
 1996 
 
 2088 
 
 2179 
 
 2271 
 
 
 2 18 
 
 3 28 
 
 45 
 
 2362 
 
 2454 
 
 2545 
 
 2637 
 
 2728 
 
 2820 
 
 2911 
 
 3003 
 
 3094 
 
 3186 
 
 
 4:37 
 
 46 
 
 3277 
 
 3369 
 
 3460 
 
 3552 
 
 3643 
 
 3735 
 
 3826 
 
 3918 
 
 4009 
 
 4101 
 
 
 5|46 
 
 47 
 
 4192 
 
 4284 
 
 4375 
 
 4467 
 
 4558 
 
 4650 
 
 4741 
 
 4833 
 
 4924 
 
 5016 
 
 
 
 
 7 
 
 55 
 64 
 74 
 
 48 
 
 5107 
 
 5199 
 
 5290 
 
 5382 
 
 5473 
 
 5564 
 
 5Q5Q 
 
 5747 
 
 5839 
 
 5930 
 
 
 8 
 
 49 
 
 N. 
 
 6022 
 
 6113 
 1 
 
 6205 
 
 6296 
 
 3 
 
 6387 
 4 
 
 6479 
 5 
 
 6570 
 
 6 
 
 6662 
 
 7 
 
 6753 
 "8~ 
 
 6845 
 
 9 
 
 D 
 
 9 
 
 83 
 
 
 
 2 
 
 P 
 
 ts. 
 
N. 47^00 L.676 OF NUMBERS. (81) 
 
 N^ 
 
 
 
 1 
 
 ^ 
 
 3 
 
 4 
 
 5_ 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 ;ro. 
 
 4750 
 
 6166936 
 
 7028 
 
 7119 
 
 7210 
 
 7302 
 
 7393 
 
 7485 
 
 7576 
 
 7667 
 
 7759 
 
 
 
 51 
 
 7850 
 
 7942 
 
 8033 
 
 8125 
 
 8216 
 
 8307 
 
 8399 
 
 8490 
 
 8582 
 
 8673 
 
 
 91 
 
 52 
 
 8764 
 
 8856 
 
 8947 
 
 9038 
 
 9130 
 
 9221 
 
 9313 
 
 9404 
 
 9495 
 
 9587 
 
 
 1 
 
 9 
 
 55 
 
 9678 
 
 9770 
 
 9861 
 
 9952 
 
 0044 
 
 0135 
 
 0226 
 
 0318 
 
 0409 
 
 0500 
 
 
 '2 
 
 18 
 27 
 S6 
 
 54 
 
 6770592 
 
 0683 
 
 0774 
 
 0866 
 
 0957 
 
 1049 
 
 1140 
 
 1231 
 
 1323 
 
 1414 
 
 
 3 
 
 4 
 
 55 
 
 1505 
 
 1597 
 
 1688 
 
 1779 
 
 1871 
 
 1962 
 
 2053 
 
 2145 
 
 2236 
 
 2327 
 
 
 5 
 
 46 
 
 56 
 
 2418 
 
 2510 
 
 2601 
 
 2692 
 
 2784 
 
 2875 
 
 2966 
 
 3058 
 
 3149 
 
 3240 
 
 
 6 
 
 7 
 8 
 
 55 
 
 64 
 73 
 
 51 
 
 3332 
 
 3423 
 
 3.514 
 
 3605 
 
 3697 
 
 3788 
 
 3879 
 
 3971 
 
 4062 
 
 4153 
 
 
 58 
 
 4244 
 
 4336 
 
 4427 
 
 4518 
 
 4609 
 
 4701 
 
 4792 
 
 4883 
 
 4975 
 
 5066 
 
 
 9 
 
 82 
 
 59 
 
 5157 
 
 5248 
 
 5340 
 
 5431 
 
 5522 
 
 5613 
 
 5705 
 
 5796 
 
 5887 
 
 5978 
 
 
 
 4760 
 
 6070 
 
 6161 
 
 6252 
 
 6343 
 
 6434 
 
 6526 
 
 6617 
 
 6708 
 
 6799 
 
 6891 
 
 
 
 61 
 
 6982 
 
 7073 
 
 7164 
 
 7255 
 
 7347 
 
 7438 
 
 7529 
 
 7620 
 
 7712 
 
 7803 
 
 
 
 62 
 
 7894 
 
 7985 
 
 8076 
 
 8168 
 
 8259 
 
 8350 
 
 8441 
 
 8532 
 
 8623 
 
 8715 
 
 
 
 63 
 
 8806 
 
 88.;/7 
 
 8Q88 
 
 9079 
 
 9171 
 
 9262 
 
 9353 
 
 9444 
 
 9535 
 
 U626 
 
 
 
 64 
 
 9718 
 
 9809 
 
 9900 
 
 9991 
 
 0082 
 
 0173 
 
 0264 
 
 0356 
 
 0447 
 
 0538 
 
 
 
 Q5 
 
 6780629 
 
 0720 
 
 0811 
 
 0902 
 
 0994 
 
 1085 
 
 1176 
 
 1267 
 
 1358 
 
 1449 
 
 
 
 66 
 
 1540 
 
 1632 
 
 1723 
 
 1814 
 
 1905 
 
 1996 
 
 2087 
 
 2178 
 
 2269 
 
 2360 
 
 
 
 67 
 
 2452 
 
 2543 
 
 2634 
 
 2725 
 
 2816 
 
 2907 
 
 2998 
 
 3089 
 
 3180 
 
 ■.'^27] 
 
 
 
 68 
 
 3362 
 
 3454 
 
 3545 
 
 3636 
 
 3727 
 
 3818 
 
 3909 
 
 4000 
 
 4091 
 
 4182 
 
 
 
 69 
 
 4273 
 
 4364 
 
 4455 
 
 4546 
 
 4637 
 
 4729 
 
 4820 
 
 4911 
 
 5002 
 
 5093 
 
 
 
 4770 
 
 5184 
 
 5275 
 
 5366 
 
 5457 
 
 5548 
 
 563& 
 
 5730 
 
 5821 
 
 5912 
 
 6003 
 
 
 
 71 
 
 6094 
 
 6185 
 
 6216 
 
 6367 
 
 6458 
 
 6549 
 
 6640 
 
 6731 
 
 6822 
 
 6913 
 
 
 
 72 
 
 7004 
 
 7095 
 
 7186 
 
 7277 
 
 7368 
 
 7459 
 
 7550 
 
 7641 
 
 7732 
 
 7823 
 
 91 
 
 
 73 
 
 7914 
 
 8005 
 
 8096 
 
 8187 
 
 8278 
 
 8369 
 
 8460 
 
 8551 
 
 8642 
 
 8733 
 
 
 74 
 
 8824 
 
 8915 
 
 9006 
 
 9097 
 
 9188 
 
 9279 
 
 9370 
 
 9461 
 
 9552 
 
 9643 
 
 
 
 75 
 
 9734 
 
 9825 
 
 9916 
 
 0007 
 
 00.) 8 
 
 0188 
 
 0279 
 
 0370 
 
 0461 
 
 0552 
 
 
 
 76 
 
 6790643 
 
 0734 
 
 0825 
 
 0916 
 
 1007 
 
 1098 
 
 1189 
 
 1280 
 
 1371 
 
 1461 
 
 
 
 77 
 
 1552 
 
 1643 
 
 1734 
 
 1825 
 
 1916 
 
 2007 
 
 2098 
 
 2189 
 
 2280 
 
 2371 
 
 
 
 78 
 
 2461 
 
 2552 
 
 2643 
 
 2734 
 
 2825 
 
 2916 
 
 3007 
 
 3098 
 
 3189 
 
 3279 
 
 
 
 79 
 
 3370 
 
 3461 
 
 3552 
 
 3643 
 
 3734 
 
 3825 
 
 3916 
 
 4006 
 
 4097 
 
 4188 
 
 
 
 4780 
 
 4279 
 
 4370 
 
 4461 
 
 4552 
 
 4642 
 
 4733 
 
 4824 
 
 4915 
 
 5006 
 
 5097 
 
 
 
 81 
 
 5187 
 
 5278 
 
 5369 
 
 5460 
 
 5551 
 
 5642 
 
 5732 
 
 5823 
 
 59 1 4 
 
 6005 
 
 
 82 
 
 6096 
 
 6187 
 
 6277 
 
 6368 
 
 6459 
 
 6550 
 
 6641 
 
 6731 
 
 6822 
 
 6913 
 
 
 
 83 
 
 7004 
 
 7095 
 
 7185 
 
 7276 
 
 7367 
 
 7458 
 
 7549 
 
 7639 
 
 7730 
 
 7821 
 
 
 
 84 
 
 7912 
 
 8002 
 
 8093 
 
 8184 
 
 8275 
 
 8366 
 
 8456 
 
 8547 
 
 8638 
 
 8729 
 
 
 
 85 
 
 8819 
 
 8910 
 
 9001 
 
 9092 
 
 9182 
 
 9273 
 
 9364 
 
 9455 
 
 9545 
 
 9636 
 
 
 
 86 
 
 9727 
 
 9818 
 
 9908 
 
 9999 
 
 0090 
 
 0181 
 
 0271 
 
 0362 
 
 0453 
 
 0544 
 
 
 
 87 
 
 6800634 
 
 0725 
 
 0816 
 
 0906 
 
 0997 
 
 1088 
 
 1179 
 
 1269 
 
 1360 
 
 1451 
 
 
 
 88 
 
 1541 
 
 1632 
 
 1723 
 
 1814 
 
 1904 
 
 19;-i5 
 
 2086 
 
 2176 
 
 2267 
 
 2358 
 
 
 
 89 
 
 2448 
 
 2539 
 
 2630 
 
 2720 
 
 2811 
 
 2902 
 
 2992 
 
 3083 
 
 3174 
 
 3294 
 
 
 
 4790 
 
 3355 
 
 3446 
 
 3536 
 
 3627 
 
 3718 
 
 3808 
 
 3899 
 
 3990 
 
 4080 
 
 4171 
 
 
 
 91 
 
 4262 
 
 4352 
 
 4443 
 
 4534 
 
 4624 
 
 4715 
 
 4806 
 
 4896 
 
 4987 
 
 5077 
 
 
 
 92 
 
 5168 
 
 5259 
 
 5349 
 
 5440 
 
 5531 
 
 5621 
 
 5712 
 
 5802 
 
 5893 
 
 59 S^^^ 
 
 
 90 
 
 93 
 
 6074 
 
 6165 
 
 6256 
 
 6346 
 
 6437 
 
 6527 
 
 6618 
 
 6709 
 
 6799 
 
 6890 
 
 
 ] 
 
 9 
 
 94 
 
 6980 
 
 7071 
 
 7161 
 
 7252 
 
 7343 
 
 7433 
 
 7524 
 
 7614 
 
 7705 
 
 7796 
 
 
 2 
 8 
 
 18 
 27 
 
 95 
 
 7886 
 
 7977 
 
 8067 
 
 8 158 
 
 8248 
 
 8339 
 
 8430 
 
 8520 
 
 8611 
 
 8701 
 
 
 4 
 
 36 
 
 96 
 
 8792 
 
 8882 
 
 8973 
 
 9063 
 
 9154 
 
 9244 
 
 9335 
 
 9426 
 
 9516 
 
 9607 
 
 
 5 
 
 45 
 
 97 
 
 9697 
 
 9788 
 
 9878 
 
 9969 
 
 0059 
 
 0150 
 
 0240 
 
 0331 
 
 0421 
 
 05 1 2 
 
 
 6 
 
 >7 
 
 54 
 
 98 
 
 6810602 
 
 0693 
 
 0783 
 
 0874 
 
 0964 
 
 1055 
 
 1145 
 
 1236 
 
 1327 
 
 1417 
 
 
 872 
 
 ■ 99 
 
 N. 
 
 1507 
 
 1598 
 1 
 
 1688 
 2 
 
 1779 
 
 3 
 
 1869 
 
 4 
 
 1960 
 5 
 
 2050 
 
 6 
 
 2141 
 
 223 1 
 8 
 
 2322 
 
 9 
 
 D 
 
 981 
 
 
 
 ? 
 
 
 2M 
 
(82) LOGARITHMS N. 48000 L. 68 1 
 
 N. 
 
 4SO0 
 
 
 
 6812412 
 
 J 
 2503 
 
 o 
 
 2593 
 
 3 
 
 2684 
 
 4 
 
 2774 
 
 5 
 
 2865 
 
 6 
 
 2955 
 
 7 
 
 _8 
 
 3136 
 
 3227 
 
 D Pro. 
 
 3U46 
 
 01 
 
 3317 
 
 3408 
 
 3498 
 
 35 S8 
 
 3679 
 
 3769 
 
 3860 
 
 3950 
 
 4041 
 
 4131 
 
 91 
 
 02 
 
 4222 
 
 4312 
 
 4402 
 
 4493 
 
 4583 
 
 4674 
 
 4764 
 
 4855 
 
 4945 
 
 5035 
 
 1 9 
 
 03 
 
 5126 
 
 5216 
 
 5307 
 
 5397 
 
 5488 
 
 5578 
 
 5668 
 
 5759 
 
 5849 
 
 5940 
 
 2 18 
 
 04 
 
 6030 
 
 6120 
 
 6211 
 
 6301 
 
 6392 
 
 6482 
 
 6572 
 
 6663 
 
 6753 
 
 6844 
 
 3 27 
 
 4 36* 
 
 05 
 
 6934 
 
 7024 
 
 7115 
 
 7205 
 
 7295 
 
 7386 
 
 7476 
 
 7567 
 
 7657 
 
 7747 
 
 5 46 
 
 06 
 
 7838 
 
 7928 
 
 8018 
 
 8109 
 
 8199 
 
 8289 
 
 8380 
 
 8470 
 
 8561 
 
 8651 
 
 6 55 
 
 7 64 
 
 8 73 
 
 9 82 
 
 07 
 
 8741 
 
 8832 
 
 8922 
 
 9012 
 
 9103 
 
 9193 
 
 9283 
 
 9374 
 
 9464 
 
 9554 
 
 08 
 
 9645 
 
 9735 
 
 9825 
 
 9916 
 
 0006 
 
 0096 
 
 0187 
 
 0277 
 
 0367 
 
 0457 
 
 09 
 
 6820548 
 
 0638 
 
 0728 
 
 0819 
 
 0909 
 
 0999 
 
 1090 
 
 1180 
 
 1270 
 
 1360 
 
 
 4810 
 
 1451 
 
 1541 
 
 1631 
 
 1722 
 
 1812 
 
 1902 
 
 1992 
 
 2083 
 
 2173 
 
 2263 
 
 
 11 
 
 2354 
 
 2444 
 
 2534 
 
 2624 
 
 2715 
 
 2805 
 
 2895 
 
 2985 
 
 3076 
 
 3166 
 
 
 12 
 
 3256 
 
 3346 
 
 3437 
 
 3527 
 
 3617 
 
 3707 
 
 3798 
 
 3888 
 
 3978 
 
 4068 
 
 
 13 
 
 4159 
 
 4249 
 
 4339 
 
 4429 
 
 4520 
 
 4610 
 
 4700 
 
 4790 
 
 4880 
 
 4971 
 
 
 14 
 
 5061 
 
 5151 
 
 521-1 
 
 5331 
 
 5422 
 
 5512 
 
 5602 
 
 5692 
 
 5783 
 
 5873 
 
 
 15 
 
 5963 
 
 6053 
 
 6143 
 
 6233 
 
 6324 
 
 6414 
 
 6504 
 
 6594 
 
 6684 
 
 6775 
 
 
 16 
 
 6865 
 
 6955 
 
 7045 
 
 7135 
 
 7225 
 
 7316 
 
 7406 
 
 7496 
 
 7586 
 
 7676 
 
 
 17 
 
 7766 
 
 7857 
 
 7947 
 
 8037 
 
 8127 
 
 8217 
 
 8307 
 
 8398 
 
 8488 
 
 8578 
 
 
 18 
 
 8668 
 
 8758 
 
 8848 
 
 8938 
 
 9029 
 
 9119 
 
 9209 
 
 9299 
 
 9389 
 
 9479 
 
 
 19 
 
 9569 
 
 9659 
 
 9750 
 
 9840 
 
 9930 
 
 ?5020 
 
 OHO 
 
 0200 
 
 0290 
 
 0380 
 
 
 4820 
 
 68301-70 
 
 0560 
 
 0651 
 
 0741 
 
 0831 
 
 0921 
 
 1011 
 
 1101 
 
 1191 
 
 12^1 
 
 
 21 
 
 1371 
 
 1461 
 
 1551 
 
 1642 
 
 1732 
 
 1822 
 
 1912 
 
 2002 
 
 2092 
 
 2182 
 
 
 22 
 
 2272 
 
 2362 
 
 2452 
 
 2542 
 
 2632 
 
 2722 
 
 2812 
 
 2902 
 
 2993 
 
 3083 
 
 
 2.3 
 
 3173 
 
 3268 
 
 3353 
 
 344-3 
 
 3533 
 
 3623 
 
 3713 
 
 3803 
 
 3893 
 
 3983 
 
 
 24 
 
 4073 
 
 4163 
 
 4253 
 
 4343 
 
 4433 
 
 4523 
 
 4613 
 
 4703 
 
 4793 
 
 4883 
 
 90 
 
 25 
 
 4973 
 
 5063 
 
 5153 
 
 5243 
 
 5333 
 
 5423 
 
 5513 
 
 5603 
 
 5693 
 
 5783 
 
 
 26 
 
 5873 
 
 5963 
 
 6053 
 
 6143 
 
 6233 
 
 6323 
 
 6413 
 
 6503 
 
 6593 
 
 6683 
 
 
 27 
 
 6773 
 
 6863 
 
 6953 
 
 7043 
 
 7133 
 
 7223 
 
 7313 
 
 7403 
 
 7493 
 
 7583 
 
 
 28 
 
 7673 
 
 7763 
 
 7853 
 
 7942 
 
 8032 
 
 8122 
 
 8212 
 
 8302 
 
 8392 
 
 8482 
 
 , 
 
 29 
 
 8572 
 
 8662 
 
 8752 
 
 8842 
 
 8932 
 
 9022 
 
 9112 
 
 9202 
 
 9291 
 
 9381 
 
 
 4830 
 
 9471 
 
 9561 
 
 9651 
 
 9741 
 
 9831 
 
 9921 
 
 0011 
 
 0101 
 
 0191 
 
 0280 
 
 
 31 
 
 6840370 
 
 0460 
 
 0550 
 
 0640 
 
 0730 
 
 0820 
 
 0910 
 
 1000 
 
 1089 
 
 1179 
 
 - 
 
 32 
 
 1269 
 
 1359 
 
 1449 
 
 1539 
 
 1629 
 
 1719 
 
 1808 
 
 1898 
 
 1988 
 
 2078 
 
 
 33 
 
 2168 
 
 2258 
 
 2348 
 
 2438 
 
 2527 
 
 2617 
 
 2707 
 
 2797 
 
 2887 
 
 2977 
 
 
 S4 
 
 3066 
 
 3156 
 
 3246 
 
 3336 
 
 3426 
 
 3516 
 
 3605 
 
 3695 
 
 3785 
 
 3875 
 
 
 33 
 
 3965 
 
 4055 
 
 4144 
 
 4234 
 
 4324 
 
 4414 
 
 4504 
 
 4594 
 
 4683 
 
 4773 
 
 
 3d 
 
 4863 
 
 4953 
 
 5043 
 
 5132 
 
 5222 
 
 5312 
 
 5402 
 
 5492 
 
 5581 
 
 5671 
 
 
 37 
 
 5761 
 
 5851 
 
 5940 
 
 6030 
 
 6120 
 
 6210 
 
 6300 
 
 6389 
 
 6479 
 
 6569 
 
 
 38 
 
 6659 
 
 6748 
 
 6838 
 
 6928 
 
 7018 
 
 7107 
 
 7197 
 
 7287 
 
 7377 
 
 7466 
 
 
 39 
 
 7556 
 
 7646 
 
 7736 
 
 7825 
 
 7915 
 
 8005 
 
 3095 
 
 8184 
 
 8274 
 
 8364 
 
 
 4840 
 
 8454 
 
 8543 
 
 8633 
 
 8723 
 
 8813 
 
 8902 
 
 8992 
 
 9082 
 
 9171 
 
 9261 
 
 
 41 
 
 9351 
 
 9441 
 
 9530 
 
 9620 
 
 9710 
 
 9799 
 
 9889 
 
 9979 
 
 (5068 
 
 0158 
 
 
 42 
 
 6850248 
 
 0338 
 
 0427 
 
 0517 
 
 0607 
 
 0696 
 
 0786 
 
 0876 
 
 0965 
 
 1055 
 
 90 
 
 43 
 
 1145 
 
 1234 
 
 1324 
 
 1414 
 
 1503 
 
 1593 
 
 1683 
 
 1772 
 
 1862^ 
 
 1952 
 
 I! 9 
 
 44 
 
 2041 
 
 2131 
 
 2221 
 
 2310 
 
 2400 
 
 2490 
 
 2579 
 
 2669 
 
 2759 
 
 2848 
 
 2 18 
 
 3 '27 
 
 45 
 
 2938 
 
 3027 
 
 3117 
 
 3207 
 
 3296 
 
 3386 
 
 3476 
 
 3565 
 
 3655 
 
 3744 
 
 4 36 
 
 46 
 
 3834 
 
 3924 
 
 4013 
 
 4103 
 
 4193 
 
 4282 
 
 4372 
 
 4461 
 
 4551 
 
 4641 
 
 5 45 
 
 47 
 
 4730 
 
 4820 
 
 4909 
 
 4999 
 
 5089 
 
 5178 
 
 5268 
 
 5357 
 
 5447 
 
 5537 
 
 6 54 
 
 7 63 
 r8 72 
 
 48 
 
 5626 
 
 5716 
 
 5805 
 
 5895 
 
 5984 
 
 6074 
 
 6164 
 
 6253 
 
 6343 
 
 6432 
 
 49 
 
 6522 
 
 6611 
 1 
 
 6701 
 
 2 
 
 6791 
 
 3 
 
 6880 
 
 4 1 
 
 6970 
 
 5 
 
 7059 
 
 6 
 
 7149 
 ~7~ 
 
 7238 
 
 8 
 
 7328 
 9 
 
 981 
 
 D pts. 
 
 N. 
 
 
 
^.48500 L.685 of numbers. (83) 
 
 N. 
 
 4850 
 
 
 
 1 
 
 7507 
 
 2 
 
 7596 
 
 3 
 
 7686 
 
 4 
 
 7776 
 
 5 
 
 7865 
 
 6 
 
 7955 
 
 7 
 
 80 U 
 
 8 
 8131 
 
 9 
 
 8223 
 
 1) 
 
 Fro. 
 
 6857417 
 
 51 
 
 8313 
 
 8402 
 
 8492 
 
 8581 
 
 8671 
 
 8760 
 
 8850 
 
 893J 
 
 9029 
 
 9118 
 
 
 89 
 
 52 
 
 9208 
 
 9297 
 
 9387 
 
 9476 
 
 9566 
 
 9655 
 
 9745 
 
 9834 
 
 9924 
 
 0013 
 
 
 1 9 
 
 53 
 
 6860103 
 
 0192 
 
 0282 
 
 0371 
 
 0461 
 
 0550 
 
 0640 
 
 0729 
 
 0819 
 
 0908 
 
 
 2 18 
 
 3 27 
 
 4 36 
 
 54 
 
 0998 
 
 1087 
 
 1177 
 
 1266 
 
 1356 
 
 1445 
 
 1535 
 
 1624 
 
 1713 
 
 1803 
 
 
 55 
 
 1892 
 
 1982 
 
 2071 
 
 2161 
 
 2250 
 
 2340 
 
 2429 
 
 2518 
 
 2608 
 
 2697 
 
 
 5 45 
 
 56 
 
 2787 
 
 2876 
 
 2966 
 
 3055 
 
 3145 
 
 3234 
 
 3323 
 
 3413 
 
 3502 
 
 3592 
 
 
 6 53 
 
 7 62 
 
 a 71 
 
 51 
 
 3681 
 
 3770 
 
 3860 
 
 3949 
 
 4039 
 
 4128 
 
 4217 
 
 4307 
 
 1 4396 
 
 4486 
 
 
 58 
 
 4575 
 
 4665 
 
 4754 
 
 4843 
 
 4933 
 
 5022 
 
 5111 
 
 5201 
 
 5290 
 
 5380 
 
 
 9 80 
 
 59 
 
 5469 
 
 5558 
 
 5648 
 
 5737 
 
 5826 
 
 5916 
 
 6005 
 
 6095 
 
 6184 
 
 6273 
 
 
 
 4860 
 
 6363 
 
 6452 
 
 6541 
 
 6631 
 
 6720 
 
 6809 
 
 6899 
 
 6988 
 
 7078 
 
 7167 
 
 
 
 01 
 
 7256 
 
 7346 
 
 7435 
 
 7524 
 
 7614 
 
 7703 
 
 7792 
 
 7882 
 
 7971 
 
 8060 
 
 
 
 62 
 
 8150 
 
 8239 
 
 S328 
 
 8418 
 
 8507 
 
 8596 
 
 8685 
 
 8775 
 
 8864 
 
 8953 
 
 
 
 63 
 
 9043 
 
 9132 
 
 9221 
 
 9311 
 
 9400 
 
 9489 
 
 9578 
 
 9663 
 
 9757 
 
 9846 
 
 
 
 64 
 
 9936 
 
 0025|0114 
 
 0204 
 
 0293 
 
 0382 
 
 0471 
 
 0561 
 
 0350 
 
 0739 
 
 
 
 65 
 
 6870828 
 
 0918 
 
 1007 
 
 1096 
 
 1186 
 
 1275 
 
 1364 
 
 1453 
 
 1543 
 
 1632 
 
 
 
 66 
 
 1721 
 
 1810 
 
 1900 
 
 1989 
 
 2078 
 
 2167 
 
 2257 
 
 2346 
 
 2435 
 
 2524 
 
 
 
 07 
 
 26 1 3 
 
 :?703 
 
 2792 
 
 2831 
 
 2970 
 
 3060 
 
 3149 
 
 3238 
 
 3327 
 
 3416 
 
 
 
 68 
 
 350^i 
 
 3595 
 
 3684 
 
 3773 
 
 3863 
 
 3952 
 
 4041 
 
 4130 
 
 4219 
 
 4309 
 
 
 
 69 
 
 43 8 
 
 4187 
 
 1.576 
 
 4665 
 
 4755 
 
 4844 
 
 4933 
 
 5022 
 
 5111 
 
 5200 
 
 
 
 4870 
 
 5290 
 
 5379 
 
 5168 
 
 5557 
 
 5646 
 
 5735 
 
 5825 
 
 5914 
 
 6003 
 
 6092 
 
 
 
 71 
 
 6181 
 
 6270 
 
 5'300 
 
 6449 
 
 6538 
 
 6627 
 
 6716 
 
 6805 
 
 6895 
 
 6984 
 
 
 
 72 
 
 7073 
 
 7162 
 
 7251 
 
 7340 
 
 7429 
 
 7518 
 
 7608 
 
 7697 
 
 7786 
 
 7875 
 
 
 
 73 
 
 7^64 
 
 8053 
 
 8142 
 
 8231 
 
 8321 
 
 8410 
 
 8499 
 
 8588 
 
 8677 
 
 8766 
 
 
 
 74 
 
 8855 
 
 8944 
 
 9033 
 
 9123 
 
 9212 
 
 9301 
 
 9390 
 
 9479 
 
 9568 
 
 9657 
 
 
 
 75 
 
 97 4d 
 
 9835 
 
 9924 
 
 0013 
 
 0103 
 
 0192 
 
 0281 
 
 0370 
 
 0459 
 
 0548 
 
 
 
 76 
 
 68^637 
 
 0726 
 
 08 i 5 
 
 0904 
 
 0993 
 
 1082 
 
 1171 
 
 1260 
 
 1 349 
 
 1439 
 
 
 
 77 
 
 1528 
 
 1617 
 
 1706 
 
 1795 
 
 1884 
 
 1973 
 
 2062 
 
 2151 
 
 2240 
 
 2329 
 
 
 
 78 
 
 2418 
 
 2507 
 
 2596 
 
 2585 
 
 2774 
 
 2863 
 
 2952 
 
 3041 
 
 3130 
 
 3219 
 
 
 
 79 
 
 3308 
 
 3397 
 
 34§6 
 
 3575 
 
 3664 
 
 3753 
 
 3842 
 
 3931 
 
 4020 
 
 4109 
 
 89 
 
 
 4880 
 
 4198 
 
 4287 
 
 4376 
 
 4465 
 
 4554 
 
 4643 
 
 4732 
 
 4821 
 
 4910 
 
 4999 
 
 
 
 81 
 
 5088 
 
 5177 
 
 5266 
 
 5355 
 
 5444 
 
 5533 
 
 5622 
 
 5711 
 
 5800 
 
 5889 
 
 \ 
 
 
 82 
 
 5978 
 
 6067 
 
 6156 
 
 6245 
 
 6334 
 
 6423 
 
 6511 
 
 6600 
 
 6()S9 
 
 6778 
 
 
 
 83 
 
 6867 
 
 6956 
 
 7045 
 
 7134 
 
 7223 
 
 7312 
 
 7401 
 
 7490 
 
 7579 
 
 7668 
 
 
 
 84 
 
 7757 
 
 7845 
 
 7934 
 
 8023 
 
 8112 
 
 8201 
 
 8290 
 
 8379 
 
 8468 
 
 8557 
 
 
 
 . 85 
 
 8646 
 
 8735 
 
 8823 
 
 8912 
 
 9001 
 
 90)0 
 
 9179 
 
 9268 
 
 9357 
 
 9446 
 
 
 
 86 
 
 95S5 
 
 9624 
 
 y712 
 
 Q801 
 
 9890 
 
 9979 
 
 0068 
 
 0157 
 
 0246 
 
 0335 
 
 
 
 87 
 
 6890423 
 
 05 1 -2 
 
 0601 
 
 On 90 
 
 0779 
 
 0868 
 
 0957 
 
 1045 
 
 1134 
 
 1223 
 
 
 
 88 
 
 1312 
 
 1401 
 
 1490 
 
 1579 
 
 1667 
 
 1756 
 
 1845 
 
 1934 
 
 2023 
 
 2112 
 
 
 
 89 
 
 2200 
 
 2289 
 
 2378 
 
 2467 
 
 2556 
 
 2645 
 
 2733 
 
 28^2 
 
 2911 
 
 3000 
 
 
 
 4890 
 
 3089 
 
 3177 
 
 3266 
 
 3355 
 
 3444 
 
 3533 
 
 3621 
 
 3710 
 
 3799 
 
 3888 
 
 
 
 91 
 
 3977 
 
 4065 
 
 4154 
 
 1-243 
 
 4332 1 
 
 4421 
 
 4509 
 
 4598 
 
 4687 
 
 4776 
 
 
 
 92 
 
 4864 
 
 4-953 
 
 5042 
 
 5131 
 
 52201 
 
 5308 
 
 5397 
 
 5486 
 
 5575 
 
 5663 
 
 
 88 
 
 93 
 
 5752 
 
 5841 
 
 5930 
 
 6018 
 
 6107 
 
 6l9o 
 
 6285 
 
 6373 
 
 6462 
 
 6551 
 
 
 1 9 
 
 94 
 
 6640 
 
 6728 
 
 6817 
 
 6906 
 
 6995 
 
 7083 
 
 7172 
 
 7261 
 
 7350 
 
 7438 
 
 
 2 18 
 
 3 26 
 
 95 
 
 7527 
 
 7616 
 
 7704 
 
 7793 
 
 7882 
 
 7971 
 
 8059 
 
 8148 
 
 8237 
 
 8325 
 
 
 4 35 
 
 96 
 
 8414 
 
 8503 
 
 8591 
 
 8680 
 
 876.9 
 
 8858 
 
 8946 
 
 9035 
 
 9124 
 
 9212 
 
 
 544 
 
 6 53 
 
 7 32 
 
 97 
 
 9301 
 
 93PO 
 
 9478 
 
 9567 
 
 QQ5Q 
 
 9744 
 
 9833 
 
 9922 
 
 0010 
 
 0099 
 
 
 98 
 
 0900188 
 
 0276 
 
 0365 
 
 0454 
 
 0542 
 
 0631 
 
 0720 
 
 0808 
 
 0897 
 
 0986 
 
 
 8 70 
 
 99 
 
 1074 
 
 1163 
 
 1252 
 2 
 
 1340 
 
 3 
 
 1429 
 
 1518 
 
 1606 
 
 1695 
 
 7 
 ■■■■ t 
 
 1784 
 
 1872 
 
 D 
 
 9 79 
 Pts. 
 
 N. 
 
 1 
 
 1 
 
 5 
 
 6 
 
 8 
 
 9 ! 
 
 a M 2 
 
(84) 
 
 LOGARITHMS N.4900b L.690\ 
 
 N. 
 
 4900 
 
 
 
 1 
 
 2049 
 
 2 
 2138 
 
 3 
 
 2227 
 
 4 
 
 23 1 5 
 
 5 
 
 2404 
 
 .6 
 
 2493 
 
 7 
 
 2581 
 
 8 
 
 2670 
 
 9 
 
 2758 
 
 D 
 
 Pro. 
 
 6901961 
 
 01 
 
 2847 
 
 2936 
 
 3024 
 
 3113 
 
 3201 
 
 3290 
 
 3379 
 
 3467 
 
 3556 
 
 3644 
 
 
 89 ' 
 
 02 
 
 3733 
 
 3822 
 
 3910 
 
 3999 
 
 4087 
 
 4176 
 
 4265 
 
 4353 
 
 4442 
 
 4530 
 
 
 1 9 
 
 03 
 
 4619 
 
 4708 
 
 4796 
 
 4885 
 
 4973 
 
 5062 
 
 5150 
 
 5239 
 
 5327 
 
 5416 
 
 
 2 18 
 
 04 
 
 5505 
 
 5593 
 
 5682 
 
 5770 
 
 5859 
 
 5947 
 
 6036 
 
 6124 
 
 6213 
 
 6302 
 
 
 3 27 
 
 4 36 
 
 05 
 
 6390 
 
 6479 
 
 6567 
 
 6656 
 
 6744 
 
 6833 
 
 6921 
 
 7010 
 
 7098 
 
 7187 
 
 
 6 45 
 
 Of) 
 
 7275 
 
 7364 
 
 7452 
 
 7541 
 
 7630 
 
 7718 
 
 7807 
 
 7895 
 
 7984 
 
 8072 
 
 
 6 53 
 
 7 62 
 871 
 9 80 
 
 07 
 
 8161 
 
 8249 
 
 8338 
 
 8426 
 
 8515 
 
 8603 
 
 8692 
 
 8780 
 
 8869 
 
 8957 
 
 
 08 
 
 9046 
 
 9134 
 
 9223 
 
 9311 
 
 9399 
 
 9488 
 
 9576 
 
 9665 
 
 9753 
 
 9842 
 
 
 09 
 
 9930 
 
 (5019 
 
 0107 
 
 0196 
 
 0284 
 
 0373 
 
 0461 
 
 0550 
 
 0638 
 
 0726 
 
 
 
 4910 
 
 6910815 
 
 0903 
 
 0992 
 
 1080 
 
 1169 
 
 1257 
 
 1346 
 
 J 434 
 
 1522 
 
 1611 
 
 
 
 11 
 
 1699 
 
 1788 
 
 1876 
 
 1965 
 
 2053 
 
 2141 
 
 2230 
 
 2318 
 
 2407 
 
 2495 
 
 
 
 12 
 
 2584 
 
 2672 
 
 2760 
 
 2849 
 
 2937 
 
 3026 
 
 3114 
 
 3202 
 
 3291 
 
 3379 
 
 \ 
 
 
 13 
 
 3468 
 
 3556 
 
 3644 
 
 3733 
 
 3821 
 
 3910 
 
 3998 
 
 4086 
 
 4175 
 
 4263 
 
 
 
 14 
 
 1.352 
 
 4440 
 
 4528 
 
 4617 
 
 4705 
 
 4793 
 
 4882 
 
 4970 
 
 5058 
 
 5147 
 
 
 
 15 
 
 5235 
 
 5324 
 
 5412 
 
 5500 
 
 5589 
 
 5677 
 
 5765 
 
 5854 
 
 5942 
 
 6030 
 
 
 
 16 
 
 6119 
 
 6207 
 
 6295 
 
 6384 
 
 6472 
 
 6560 
 
 6649 
 
 6737 
 
 6825 
 
 6914 
 
 
 
 17 
 
 7002 
 
 7090 
 
 7179 
 
 7267 
 
 7355 
 
 7444 
 
 7532 
 
 7620 
 
 7709 
 
 7797 
 
 
 
 18 
 
 7885 
 
 7974 
 
 8062 
 
 8150 
 
 8238 
 
 8327 
 
 8415 
 
 8503 
 
 8592 
 
 8680 
 
 
 
 19 
 
 8768 
 
 8857 
 
 8945 
 
 9033 
 
 9121 
 
 9210 
 
 9298 
 
 9386 
 
 9474 
 
 9563 
 
 
 
 4920 
 
 9651 
 
 9739 
 
 9828 
 
 9916 
 
 0004 
 
 0092 
 
 0181 
 
 0269 
 
 0357 
 
 0445 
 
 
 
 21 
 
 6920534 
 
 0622 
 
 0710 
 
 0798 
 
 0887 
 
 0975 
 
 1063 
 
 1151 
 
 1240 
 
 1328 
 
 
 
 22 
 
 1416 
 
 1504 
 
 1593 
 
 1681 
 
 1769 
 
 1857 
 
 1945 
 
 2034 
 
 2122 
 
 2210 
 
 
 
 23 
 
 2298 
 
 2387 
 
 2475 
 
 2563 
 
 2651 
 
 2739 
 
 2828 
 
 2916 
 
 3004 
 
 3092 
 
 
 
 24 
 
 3180 
 
 3269 
 
 3357 
 
 3445 
 
 3533 
 
 3621 
 
 3710 
 
 3798 
 
 3886 
 
 3974 
 
 
 
 25 
 
 4062 
 
 4151 
 
 4239 
 
 4327 
 
 4415 
 
 4503 
 
 4591 
 
 4680 
 
 4768 
 
 4856 
 
 
 
 26 
 
 4944 
 
 5032 
 
 5120 
 
 5209 
 
 5297 
 
 5385 
 
 5473 
 
 5561 
 
 5649 
 
 5737 
 
 
 
 27 
 
 5826 
 
 5914 
 
 6002 
 
 6000 
 
 6178 
 
 6266 
 
 6354 
 
 6443 
 
 6531 
 
 6619 
 
 
 
 28 
 
 6707 
 
 6795 
 
 6883 
 
 6971 
 
 7059 
 
 7148 
 
 7236 
 
 7324 
 
 7412 
 
 7500 
 
 
 
 29 
 
 7588 
 
 7676 
 
 7764 
 
 7853 
 
 7941 
 
 8029 
 
 8117 
 
 8205 
 
 8293 
 
 8381 
 
 
 
 4930 
 
 , 8469 
 
 8557 
 
 8645 
 
 8733 
 
 8822 
 
 8910 
 
 8998 
 
 9086 
 
 9174 
 
 9262 
 
 
 
 31 
 
 9350 
 
 9438 
 
 9526 
 
 9614 
 
 9702 
 
 9790 
 
 9878 
 
 9967 
 
 0055 
 
 0143 
 
 
 
 32 
 
 6930231 
 
 0319 
 
 0407 
 
 0495 
 
 0583 
 
 0671 
 
 0759 
 
 0847 
 
 0935 
 
 1023 
 
 
 
 33 
 
 1111 
 
 1199 
 
 1287 
 
 1375 
 
 1463 
 
 1551 
 
 1639 
 
 1727 
 
 1815 
 
 1903 
 
 
 
 34 
 
 1991 
 
 2079 
 
 2167 
 
 2256 
 
 2344 
 
 2432 
 
 2520 
 
 2608 
 
 2696 
 
 2784 
 
 88 
 
 
 35 
 
 2872 
 
 2960 
 
 304S 
 
 3136 
 
 3224 
 
 3312 
 
 3400 
 
 3488 
 
 3576 
 
 3664 
 
 
 
 36 
 
 3752 
 
 3839 
 
 3927 
 
 4015 
 
 4103 
 
 4191 
 
 4279 
 
 4367 
 
 4455 
 
 4543 
 
 
 
 37 
 
 4631 
 
 4719 
 
 4807 
 
 4895 
 
 4983 
 
 5071 
 
 5159 
 
 5247 
 
 5335 
 
 5423 
 
 
 
 38 
 
 5511 
 
 5599 
 
 5687 
 
 5775 
 
 5863 
 
 5951 
 
 6039 
 
 6126 
 
 6214 
 
 6302 
 
 
 
 39 
 
 6390 
 
 6478 
 
 6566 
 
 6654 
 
 6742 
 
 6830 
 
 6918 
 
 7006 
 
 7094 
 
 7182 
 
 
 
 4940 
 
 7269 
 
 7357 
 
 7445 
 
 7533 
 
 7621 
 
 7709 
 
 7797 
 
 7885 
 
 7973 
 
 8061 
 
 
 
 41 
 
 8149 
 
 8236 
 
 8324 
 
 8412 
 
 8500 
 
 8588 
 
 8676 
 
 8764 
 
 8852 
 
 8940 
 
 
 
 42 
 
 9027 
 
 9115 
 
 9203 
 
 9291 
 
 9379 
 
 9467 
 
 9555 
 
 9643 
 
 9730 
 
 9818 
 
 
 88 
 
 43 
 
 9906 
 
 9994 
 
 0082 
 
 0170 
 
 0258 
 
 0345 
 
 0433 
 
 0521 
 
 0609 
 
 0697 
 
 
 1 9 
 
 44 
 
 6940785 
 
 0872 
 
 0960 
 
 1048 
 
 1136 
 
 1224 
 
 1312 
 
 1399 
 
 14^7 
 
 1575 
 
 
 2 18 
 
 3 26 
 
 45 
 
 1663 
 
 1751 
 
 1839 
 
 1926 
 
 2014 
 
 2102 
 
 2190 
 
 2278 
 
 2366 
 
 2453 
 
 
 4 35 
 
 46 
 
 ^ 2541 
 
 2629 
 
 2717 
 
 2805 
 
 2892 
 
 2980 
 
 3068 
 
 3156 
 
 3244 
 
 ^331 
 
 
 5 44 
 
 47 
 
 3419 
 
 ^507 
 
 3595 
 
 3682 
 
 3770 
 
 3858 
 
 3946 
 
 4034 
 
 4121 
 
 4209 
 
 
 6 53 
 
 7 62 
 
 8 70 
 
 48 
 
 4297 
 
 4385 
 
 4472 
 
 4560 
 
 4648 
 
 4736 
 
 4824 
 
 4911 
 
 4999 
 
 5087 
 
 
 49 
 
 5175 
 
 5262 
 1 
 
 5350 
 
 5438 
 
 3 
 
 5526 
 4 
 
 5613 
 5 
 
 5701 
 
 6 
 
 5789 
 
 7 
 
 5877 
 
 8 1 
 
 5964 
 
 1^ 
 
 9 79 
 
 Pts. 
 
 N. 
 
 
 
 9 
 
N. 49500 L.6i)4 OF NUMBERS. 
 
 (S5) 
 
 N. 
 
 4950 
 
 
 
 1 
 
 6140 
 
 2 
 6227 
 
 3 
 
 6315 
 
 4, 
 
 6403 
 
 5 
 
 6491 
 
 6 
 
 6578 
 
 7 
 
 6666 
 
 8 
 
 6754 
 
 9 
 
 6842 
 
 1 ^^ 
 
 i'ro. 
 
 6946052 
 
 51 
 
 6929 
 
 7017 
 
 7105 
 
 7192 
 
 7280 
 
 7368 
 
 7456 
 
 7543 
 
 7631 
 
 7719 
 
 
 87 
 
 52 
 
 7806 
 
 7894 
 
 7982 
 
 8069 
 
 8157 
 
 8245 
 
 8333 
 
 8420 
 
 8508 
 
 8596 
 
 
 1 
 
 9 
 
 53 
 
 8683 
 
 8771 
 
 8859 
 
 8946 
 
 9034 
 
 9122 
 
 9209 
 
 9^97 
 
 9385 
 
 9472 
 
 
 I 
 
 17 
 
 26 
 35 
 
 54 
 
 9560 
 
 9648 
 
 9735 
 
 9823 
 
 9911 
 
 9998 
 
 0086 
 
 0174 
 
 0261 
 
 0349 
 
 
 4 
 
 55 
 
 6950437 
 
 0524 
 
 0612 
 
 0700 
 
 0787 
 
 0875 
 
 0962 
 
 1050 
 
 1138 
 
 1225 
 
 
 5 
 
 44 
 
 56 
 
 1313 
 
 1401 
 
 1488 
 
 1576 
 
 1663 
 
 1751 
 
 1839 
 
 1926 
 
 2014 
 
 2102 
 
 
 6 
 
 52 
 
 57 
 
 2189 
 
 2277 
 
 2364 
 
 2452 
 
 2540 
 
 2627 
 
 2715 
 
 2802 
 
 2890 
 
 2978 
 
 
 7 
 8 
 9 
 
 61 
 70 
 
 58 
 
 3065 
 
 3153 
 
 3240 
 
 3328 
 
 3416 
 
 3503 
 
 3591 
 
 3678 
 
 3766 
 
 3854 
 
 
 78 
 
 59 
 
 3941 
 
 4029 
 
 U16 
 
 4204 
 
 4291 
 
 4379 
 
 4467 
 
 4554 
 
 4642 
 
 4729 
 
 
 
 4960 
 
 4817 
 
 4904 
 
 4992 
 
 5079 
 
 5167 
 
 5255 
 
 5342 
 
 5430 
 
 5517 
 
 5605 
 
 
 
 61 
 
 5692 
 
 5780 
 
 5867 
 
 5955 
 
 6042 
 
 6130 
 
 6217 
 
 6305 
 
 6393 
 
 6480 
 
 
 
 62 
 
 6568 
 
 6655 
 
 6743 
 
 6830 
 
 6918 
 
 7005 
 
 7093 
 
 7180 
 
 7268 
 
 7355 
 
 
 
 63 
 
 7443 
 
 7530 
 
 7618 
 
 7705 
 
 7793 
 
 7880 
 
 7968 
 
 8055 
 
 8143 
 
 8230 
 
 
 
 64 
 
 8318 
 
 8405 
 
 8493 
 
 8580 
 
 8668 
 
 8755 
 
 8843 
 
 8930 
 
 9018 
 
 9105 
 
 
 
 65 
 
 9193 
 
 9280 
 
 9367 
 
 9455 
 
 9542 
 
 9630 
 
 9717 
 
 9805 
 
 9892 
 
 9980 
 
 
 
 66 
 
 6960067 
 
 0155 
 
 0242 
 
 0330 
 
 0417 
 
 0504 
 
 0592 
 
 0679 
 
 0767 
 
 0854 
 
 
 
 67 
 
 0942 
 
 1029 
 
 1116 
 
 1204 
 
 1291 
 
 1379 
 
 1466 
 
 1554 
 
 1641 
 
 1728 
 
 
 
 68 
 
 1816 
 
 1903 
 
 1991 
 
 2078 
 
 2 1 66 
 
 2253 
 
 2340 
 
 2428 
 
 2515 
 
 2603 
 
 
 
 69 
 
 2690 
 
 2777 
 
 2865 
 
 2952 
 
 3040 
 
 3127 
 
 3214 
 
 3302 
 
 3389 
 
 3477 
 
 
 
 4970 
 
 3564 
 
 3651 
 
 3739 
 
 3826 
 
 3913 
 
 4001 
 
 4088 
 
 4176 
 
 4263 
 
 4350 
 
 
 
 71 
 
 4438 
 
 4525 
 
 4612 
 
 4700 
 
 4787 
 
 487.4 
 
 4962 
 
 5049 
 
 5137 
 
 5224 
 
 
 
 72 
 
 5311 
 
 5399 
 
 5486 
 
 5573 
 
 5661 
 
 5748 
 
 5835 
 
 5923 
 
 6010 
 
 6097 
 
 
 
 73 
 
 6185 
 
 6272 
 
 6359 
 
 6447 
 
 653 4. 
 
 6621 
 
 6709 
 
 6796 
 
 6883 
 
 6970 
 
 
 
 74 
 
 7058 
 
 7145 
 
 7232 
 
 7320 
 
 7407 
 
 7494 
 
 7582 
 
 7669 
 
 7756 
 
 7844 
 
 
 
 75 
 
 7931 
 
 8013 
 
 8105 
 
 8193 
 
 8280 
 
 8367 
 
 8455 
 
 8542 
 
 8629 
 
 8716 
 
 
 
 76 
 
 8804 
 
 8891 
 
 8978 
 
 9066 
 
 9153 
 
 9240 
 
 9327 
 
 9415 
 
 9502 
 
 9589 
 
 
 
 77 
 
 9676 
 
 9764 
 
 9851 
 
 9938 
 
 0025 
 
 0113 
 
 0200 
 
 0287 
 
 0374 
 
 0462 
 
 
 
 78 
 
 6970549 
 
 0636 
 
 0723 
 
 0811 
 
 0898 
 
 0985 
 
 1072 
 
 1160 
 
 1247 
 
 1334 
 
 
 
 79 
 
 1421 
 
 1508 
 
 1596 
 
 1683 
 
 1770 
 
 1857 
 
 1945 
 
 2032 
 
 2119 
 
 2200 
 
 
 
 4980 
 
 2293 
 
 2381 
 
 2468 
 
 2555 
 
 261^2 
 
 2729 
 
 2817 
 
 2904 
 
 2991 
 
 3078 
 
 
 
 81 
 
 3165 
 
 3253 
 
 3340 
 
 3427 
 
 3514 
 
 3601 
 
 3689 
 
 3776 
 
 3863 
 
 '3J50 
 
 
 
 82 
 
 4037 
 
 4124 
 
 4212 
 
 42.^9 
 
 4386 
 
 4473 
 
 4560 
 
 4647 
 
 4735 
 
 4822 
 
 
 
 83 
 
 4909 
 
 4996 
 
 5083 
 
 5170 
 
 5257 
 
 5345 
 
 5432 
 
 5519 
 
 560o 
 
 5093 
 
 
 
 84 
 
 5780 
 
 5867 
 
 5955 
 
 6042 
 
 6129 
 
 6216 
 
 6303 
 
 6390 
 
 6477 
 
 6565 
 
 
 
 85 
 
 6652 
 
 6739 
 
 6826 
 
 6913 
 
 7000 
 
 7087 
 
 7174 
 
 7261 
 
 7349 
 
 7436 
 
 
 
 86 
 
 7523 
 
 7610 
 
 7697 
 
 7784 
 
 7871 
 
 7958 
 
 8045 
 
 8132 
 
 S22J 
 
 8307 
 
 
 
 87 
 
 8394 
 
 8481 
 
 8568 
 
 8655 
 
 8 742 
 
 8829 
 
 8916 
 
 9003 
 
 9090 
 
 9177 
 
 
 
 88 
 
 9264 
 
 9352 
 
 9139 
 
 9526 
 
 9613 
 
 9700 
 
 9787 
 
 9874 
 
 9.^61 
 
 OJ48 
 
 
 
 89 
 
 6980135 
 
 0222 
 
 0309 
 
 0396 
 
 0483 
 
 0570 
 
 0657 
 
 07 H 
 
 0831 
 
 0918 
 
 
 
 4990 
 
 1005 
 
 1092 
 
 1180 
 
 1267 
 
 1354 
 
 1441 
 
 1528 
 
 1615 
 
 1702 
 
 1789 
 
 87 
 
 
 91 
 
 1876 
 
 1963 
 
 2050 
 
 2137 
 
 222 I 
 
 23U 
 
 2398 
 
 2485 
 
 2572 
 
 2j59 
 
 
 
 92 
 
 2746 
 
 2333 
 
 2920 
 
 3007 
 
 3094 
 
 3181 
 
 3268 
 
 3355 
 
 3442 
 
 .j529 
 
 
 86 
 
 93 
 
 3616 
 
 3703 
 
 3790 
 
 3877 
 
 3964 
 
 4051 
 
 4138 
 
 4224 
 
 4311 
 
 4398 
 
 
 1 
 
 9 
 
 94 
 
 4485 
 
 4572 
 
 4659 
 
 4746 
 
 4833 
 
 4920 
 
 5007 
 
 5094 
 
 5181 
 
 5268 
 
 
 2 
 3 
 
 17 
 26 
 
 95 
 
 5355 
 
 5442 
 
 5529 
 
 5616 
 
 5703 
 
 5790 
 
 5877 
 
 5964 
 
 6050 
 
 6137 
 
 
 4 
 
 34 
 
 96 
 
 6224 
 
 6311 
 
 6398 
 
 64-85 
 
 6572 
 
 J 65 9 
 
 6746 
 
 6833 
 
 6920 
 
 70)7 
 
 
 5 
 
 43 
 
 97 
 
 7093 
 
 7180 
 
 7267 
 
 7354 
 
 71-41 
 
 7528 
 
 7615 
 
 7702 
 
 7789 
 
 7870 
 
 
 6 
 
 7 
 8 
 
 52 
 60 
 69 
 
 98 
 
 7963 
 
 804'^ 
 
 8136 
 
 8223 
 
 8310 
 
 8397 
 
 8484 
 
 8571 
 
 8658 
 
 8744 
 
 
 99 
 
 N. 
 
 8831 
 
 8918 
 1 
 
 >005 
 
 9092 
 
 3 
 
 9179 
 4^ 
 
 9266 9353 
 
 9439 
 
 7 
 
 Q5 26 
 8 
 
 9613 
 
 9 
 
 "d 
 
 9 
 
 77 
 
 
 
 5 6 
 
 P 
 
 ts. 
 
1(86) 
 
 LOGARITHMS N. 50000 L.6;9b"| 
 
 N. 
 
 5000 
 
 
 
 1 
 
 9787 
 
 2 
 
 9874 
 
 3 
 
 9961 
 
 4 
 
 504-7 
 
 5 
 
 0134 
 
 6 
 
 0221 
 
 7 
 
 0308 
 
 8 
 
 0395 
 
 9 
 
 D 
 
 Pro. 
 
 6989700 
 
 0482 
 
 01 
 
 6990569 
 
 0655 
 
 0742 
 
 0829 
 
 0916 
 
 1003 
 
 1090 
 
 1176 
 
 1263 
 
 1350 
 
 
 87 
 
 02 
 
 1437 
 
 1524 
 
 1611 
 
 1697 
 
 1784 
 
 IS71 
 
 1958 
 
 2045 
 
 2131 
 
 2218 
 
 
 1 9 
 
 03 
 
 2505 
 
 2392 
 
 2479 
 
 2565 
 
 2652 
 
 2739 
 
 2826 
 
 2913 
 
 2999 
 
 3086 
 
 
 2 17 
 
 3 26 
 
 4 35 
 
 04- 
 
 S173 
 
 3260 
 
 3347 
 
 3433 
 
 3520 
 
 3607 
 
 3694 
 
 3780 
 
 3867 
 
 3954 
 
 
 05 
 
 4041 
 
 4128 
 
 4214 
 
 4301 
 
 4388 
 
 4475 
 
 4561 
 
 4648 
 
 4735 
 
 4822 
 
 
 5 44 
 
 oa 
 
 4908 
 
 4995 
 
 5082 
 
 5169 
 
 5255 
 
 5342 
 
 5429 
 
 5516 
 
 5602 
 
 5689 
 
 
 6 52 
 
 7 61 
 
 8 70 
 
 07 
 
 5776 
 
 5863 
 
 5949 
 
 6036 
 
 6123 
 
 6210 
 
 6296 
 
 6383 
 
 6470 
 
 6556 
 
 
 08 
 
 6643 
 
 6730 
 
 6817 
 
 6903 
 
 6990 
 
 7077 
 
 7163 
 
 7250 
 
 7337 
 
 7424 
 
 
 9 78 
 
 09 
 
 7510 
 
 7597 
 
 7684 
 
 7770 
 
 7857 
 
 7944 
 
 8031 
 
 8117 
 
 8204 
 
 8291 
 
 
 
 5010 
 
 8377 
 
 8464 
 
 8551 
 
 8637 
 
 8724 
 
 8811 
 
 8897 
 
 8984 
 
 9071 
 
 9157 
 
 
 
 11 
 
 9244 
 
 9331 
 
 9417 
 
 9504 
 
 9591 
 
 9677 
 
 9764 
 
 9851 
 
 9937 
 
 5024 
 
 
 
 12 
 
 70001 1 1 
 
 0197 
 
 0284 
 
 0371 
 
 0457 
 
 0544 
 
 0630 
 
 0717 
 
 0804 
 
 0890 
 
 
 
 13 
 
 0977 
 
 1064 
 
 1150 
 
 1237 
 
 1324 
 
 1410 
 
 1497 
 
 1583 
 
 1670 
 
 1757 
 
 
 
 14 
 
 1843 
 
 1930 
 
 2017 
 
 2103 
 
 2190 
 
 2276 
 
 2363 
 
 2450 
 
 2536 
 
 2623 
 
 
 
 15 
 
 2709 
 
 2796 
 
 2883 
 
 2969 
 
 3056 
 
 3142 
 
 3229 
 
 3316 
 
 3402 
 
 3489 
 
 
 
 16 
 
 3575 
 
 3662 
 
 3748 
 
 3835 
 
 3922 
 
 4008 
 
 4095 
 
 4181 
 
 4268 
 
 4354 
 
 
 
 17 
 
 4441 
 
 4528 
 
 4614 
 
 4701 
 
 4787 
 
 4874 
 
 4960 
 
 5047 
 
 5133 
 
 5220 
 
 
 
 18 
 
 5307 
 
 5393 
 
 5480 
 
 5566 
 
 5653 
 
 5739 
 
 5826 
 
 5912 
 
 5999 
 
 6085 
 
 
 
 19 
 
 6172 
 
 6258 
 
 6345 
 
 6432 
 
 6518 
 
 6605 
 
 6691 
 
 6778 
 
 6864 
 
 6951 
 
 
 
 5020 
 
 7037 
 
 7124 
 
 7210 
 
 7297 
 
 7383 
 
 7470 
 
 7556 
 
 7643 
 
 7729 
 
 7816 
 
 
 
 21 
 
 7902 
 
 7989 
 
 8075 
 
 8162 
 
 8248 
 
 8335 
 
 8421 
 
 8508 
 
 8594 
 
 8681 
 
 
 
 22 
 
 8767 
 
 8854 
 
 8940 
 
 9027 
 
 9113 
 
 9199 
 
 9286 
 
 9372 
 
 9459 
 
 9545 
 
 
 
 23 
 
 9632 
 
 9718 
 
 9805 
 
 9891 
 
 9978 
 
 0064 
 
 0151 
 
 0237 
 
 0323 
 
 0410 
 
 
 
 24 
 
 7010496 
 
 0583 
 
 0669 
 
 0756 
 
 0842 
 
 0929 
 
 1015 
 
 1101 
 
 1188 
 
 1274 
 
 
 
 25 
 
 1361 
 
 1447 
 
 1534 
 
 1620 
 
 1706 
 
 1793 
 
 1879 
 
 1966 
 
 2052 
 
 2138 
 
 
 
 26 
 
 2225 
 
 2311 
 
 2398 
 
 2484 
 
 2570 
 
 2657 
 
 2743 
 
 2830 
 
 2916 
 
 3002 
 
 
 
 27 
 
 3v089 
 
 3175 
 
 3262 
 
 3348 
 
 3434 
 
 3521 
 
 3607 
 
 3694 
 
 3780 
 
 3866 
 
 
 
 28 
 
 3953 
 
 4039 
 
 4125 
 
 4212 
 
 4298 
 
 4385 
 
 4471 
 
 4557 
 
 464 + 
 
 4730 
 
 
 
 29 
 
 4816 
 
 4903 
 
 4989 
 
 5075 
 
 5162 
 
 5248 
 
 5334 
 
 5421 
 
 5507 
 
 5594 
 
 
 
 5030 
 
 5680 
 
 5766 
 
 5853 
 
 5939 
 
 6025 
 
 6112 
 
 6198 
 
 6284 
 
 6371 
 
 6457 
 
 
 
 31 
 
 6543 
 
 6629 
 
 6716 
 
 6802 
 
 6888 
 
 6975 
 
 7061 
 
 7147 
 
 7234 
 
 7320 
 
 
 
 32 
 
 ,7406 
 
 7493 
 
 7579 
 
 7665 
 
 7752 
 
 7838 
 
 7924 
 
 riOlO 
 
 8097 
 
 8183 
 
 
 
 33 
 
 8269 
 
 8356 
 
 8442 
 
 8528 
 
 8614 
 
 8701 
 
 8787 
 
 8873 
 
 8960 
 
 9046 
 
 
 
 34 
 
 9132 
 
 9218 
 
 9305 
 
 9391 
 
 9477 
 
 9563 
 
 9650 
 
 9736 
 
 9822 
 
 9908 
 
 
 
 35 
 
 9995 
 
 0081 
 
 0167 
 
 0254 
 
 0340 
 
 0426 
 
 0512 
 
 0598 
 
 0685 
 
 0771 
 
 
 
 36 
 
 702)857 
 
 0943 
 
 1030 
 
 1116 
 
 12' ^2 
 
 1288 
 
 1375 
 
 1461 
 
 1547 
 
 1633 
 
 
 
 37 
 
 1720 
 
 1806 
 
 1892 
 
 1978 
 
 2064 
 
 2 51 
 
 2.37 
 
 2323 
 
 2409 
 
 2495 
 
 
 
 38 
 
 2582 
 
 2d68 
 
 2754 
 
 2840 
 
 2926 
 
 3013 
 
 309r* 
 
 3185 
 
 3271 
 
 3357 
 
 
 
 39 
 
 3444 
 
 3530 
 
 3616 
 
 3702 
 
 3788 
 
 3874 
 
 3901 
 
 4047 
 
 4133 
 
 4219 
 
 
 
 5040 
 
 4305 
 
 4392 
 
 4478 
 
 4564 
 
 4650 
 
 4736 
 
 4822 
 
 4909 
 
 4995 
 
 5081 
 
 
 
 41 
 
 5167 
 
 5'?53 
 
 533 i 
 
 5425 
 
 5512 
 
 5598 
 
 5684 
 
 5770 
 
 5856 
 
 5L'42 
 
 
 
 42 
 
 6028 
 
 6115 
 
 o201 
 
 6287 
 
 6373 
 
 6459 
 
 6545 
 
 6631 
 
 6717 
 
 6804 
 
 
 86 
 
 43 
 
 6890 
 
 6976 
 
 7 ^^62 
 
 7148 
 
 7234 
 
 7320 
 
 7400 
 
 7492 
 
 7579 
 
 7665 
 
 
 1 9 
 
 44 
 
 7751 
 
 7837 
 
 7923 
 
 8009 
 
 8095 
 
 8181 
 
 8267 
 
 8353 
 
 8440 
 
 8526 
 
 
 2 17 
 
 3 26 
 
 45 
 
 86i2 
 
 669S 
 
 8784 
 
 8870 
 
 8956 
 
 9042 
 
 9128 
 
 .:;214 
 
 9300 
 
 9386 
 
 
 4 34 
 
 46 
 
 9472 
 
 9559 
 
 9645 
 
 9731 
 
 9817 
 
 9903 
 
 9989 
 
 OJ75 
 
 0161 
 
 0247 
 
 
 5 43 
 
 47 
 
 7030333 
 
 0419 
 
 0505 
 
 0591 
 
 0677 
 
 0763 
 
 08 i 9 
 
 0:>35 
 
 1021 
 
 1107 
 
 
 6 52 
 
 7 fin 
 
 48 
 
 1193 
 
 1279 
 
 1366 
 
 145> 
 
 1538 
 
 1624 
 
 170 
 
 1796 
 
 1882 
 
 1968 
 
 
 / ov 
 
 8 69 
 
 49 
 
 2054 
 
 2140 
 1 
 
 2226 
 ~2~ 
 
 2312 
 
 3 
 
 2398 
 
 4 
 
 2484 
 5 
 
 2570 
 6 
 
 2656 
 
 7 
 
 2742 
 8 
 
 2828 
 
 9 
 
 86 
 1) 
 
 9 77 
 
 N. 
 
 
 
 p^J 
 
^N. 50500 L. 703 OF NUMBERS. (87) 
 
 N. 
 
 5050 
 
 
 
 1 
 
 3000 
 
 2 
 
 3086 
 
 3 
 
 3172 
 
 4 
 
 3258 
 
 5 
 
 3344 
 
 6 
 
 3430 
 
 7 
 
 3516 
 
 8 
 Ji602 
 
 9 
 
 3688 
 
 D 
 
 Pro. 
 
 7032914 
 
 51 
 
 3774 
 
 3860 
 
 3946 
 
 4032 
 
 4118 
 
 4204 
 
 4290 
 
 4376 
 
 4461 
 
 4547 
 
 
 86 
 
 52 
 
 4633 
 
 4719 
 
 4805 
 
 4891 
 
 4977 
 
 5063 
 
 5149 
 
 5235 
 
 5321 
 
 5407 
 
 
 1 9 
 
 53 
 
 5493 
 
 5579 
 
 5665 
 
 5751 
 
 5837 
 
 5923 
 
 6009 
 
 6095 
 
 6181 
 
 6266 
 
 
 2 17 
 
 3 26 
 
 4 34 
 
 54 
 
 6352 
 
 6438 
 
 6524 
 
 6610 
 
 6696 
 
 6782 
 
 6868 
 
 6954 
 
 7040 
 
 7126 
 
 
 55 
 
 7212 
 
 7298 
 
 7383 
 
 7469 
 
 7555 
 
 7641 
 
 7727 
 
 7813 
 
 7899 
 
 7985 
 
 
 5 43 
 
 56 
 
 8071 
 
 8157 
 
 8242 
 
 8328 
 
 8414 
 
 8500 
 
 8586 
 
 8672 
 
 8758 
 
 8844 
 
 
 6 52 
 
 7 60 
 
 8 69 
 
 57 
 
 8930 
 
 9015 
 
 9101 
 
 9187 
 
 9273 
 
 9359 
 
 9445 
 
 9531 
 
 9617 
 
 9702 
 
 
 58 
 
 9788 
 
 9874 
 
 9960 
 
 0046 
 
 0132 
 
 0218 
 
 0303 
 
 0389 
 
 0475 
 
 0561 
 
 
 9 77 
 
 59 
 
 7040647 
 
 0733 
 
 0818 
 
 0904 
 
 0990 
 
 1076 
 
 1162 
 
 1248 
 
 1334 
 
 1419 
 
 
 
 5060 
 
 1505 
 
 1591 
 
 1677 
 
 1763 
 
 1848 
 
 1934 
 
 2020 
 
 2106 
 
 2192 
 
 2278 
 
 
 
 61 
 
 2363 
 
 2449 
 
 2535 
 
 2621 
 
 2707 
 
 2792 
 
 2878 
 
 2964 
 
 3050 
 
 3136 
 
 
 
 62 
 
 3221 
 
 3307 
 
 3393 
 
 3479 
 
 3565 
 
 3650 
 
 3736 
 
 3822 
 
 3908 
 
 3993 
 
 
 
 63 
 
 4079 
 
 4165 
 
 4251 
 
 4337 
 
 4422 
 
 4508 
 
 4,594 
 
 4680 
 
 4765 
 
 4851 
 
 
 
 64 
 
 4937 
 
 5023 
 
 5108 
 
 5194 
 
 5280 
 
 5366 
 
 5452 
 
 5537 
 
 5623 
 
 5709 
 
 
 
 65 
 
 5794 
 
 5880 
 
 5966 
 
 6052 
 
 6137 
 
 6223 
 
 6309 
 
 6395 
 
 6tH0 
 
 6566 
 
 
 
 66 
 
 6652 
 
 6738 
 
 6823 
 
 6909 
 
 6995 
 
 7080 
 
 7166 
 
 7252 
 
 7338 
 
 7423 
 
 
 
 67 
 
 7509 
 
 7595 
 
 7680 
 
 7766 
 
 7852 
 
 7938 
 
 8023 
 
 8109 
 
 8195 
 
 8280 
 
 
 
 68 
 
 8366 
 
 8452 
 
 8537 
 
 8623 
 
 8709 
 
 8795 
 
 8880 
 
 8966 
 
 9052 
 
 9137 
 
 
 
 69 
 
 9223 
 
 9309 
 
 9394 
 
 9480 
 
 9566 
 
 9651 
 
 9737 
 
 9323 
 
 9908 
 
 9994 
 
 
 
 5070 
 
 7050080 
 
 0165 
 
 0251 
 
 0337 
 
 0422 
 
 0508 
 
 0594 
 
 0679 
 
 0765 
 
 0850 
 
 
 
 71 
 
 0936 
 
 1022 
 
 1107 
 
 1193 
 
 1279 
 
 1364 
 
 1450 
 
 1536 
 
 1621 
 
 1707 
 
 
 
 72 
 
 1792 
 
 1878 
 
 1964 
 
 2049 
 
 2135 
 
 2221 
 
 2306 
 
 2392 
 
 2477 
 
 2563 
 
 
 
 73 
 
 2649 
 
 2734 
 
 2820 
 
 2905 
 
 2991 
 
 3077 
 
 3162 
 
 3248 
 
 3333 
 
 3419 
 
 
 
 74 
 
 3505 
 
 3590 
 
 3676 
 
 3761 
 
 3847 
 
 3933 
 
 4018 
 
 4104 
 
 4189 
 
 4275 
 
 
 
 75 
 
 4360 
 
 4446 
 
 4532 
 
 4617 
 
 4703 
 
 4788 
 
 4874 
 
 4959 
 
 5045 
 
 5131 
 
 
 
 76 
 
 5216 
 
 5302 
 
 5387 
 
 5473 
 
 5558 
 
 5644 
 
 5729 
 
 5815 
 
 590J 
 
 5986 
 
 
 
 77, 
 
 6072 
 
 6157 
 
 6243 
 
 6328 
 
 6414 
 
 6499 
 
 6585 
 
 6670 
 
 6756 
 
 6841 
 
 
 
 78 
 
 6927 
 
 7012 
 
 7098 
 
 7184 
 
 7269 
 
 7355 
 
 7440 
 
 7526 
 
 7611 
 
 7697 
 
 
 
 79 
 
 7782 
 
 7868 
 
 7953 
 
 8039 
 
 8124 
 
 8210 
 
 8295 
 
 8381 
 
 8466 
 
 8552 
 
 
 
 5080 
 
 8637 
 
 8723 
 
 8808 
 
 8894 
 
 8979 
 
 9065 
 
 9150 
 
 9236 
 
 9321 
 
 9406 
 
 
 
 81 
 
 9492 
 
 9577 
 
 9663 
 
 9748 
 
 9834 
 
 9919 
 
 0005 
 
 0090 
 
 0176 
 
 0261 
 
 
 
 82 
 
 7060347 
 
 0432 
 
 0518 
 
 0603 
 
 0688 
 
 0774 
 
 0859 
 
 0945 
 
 1030 
 
 1116 
 
 ''\ 
 
 
 83 
 
 1201 
 
 1287 
 
 1372 
 
 1457 
 
 1543 
 
 1628 
 
 1714 
 
 1799 
 
 1885 
 
 1970 
 
 • 
 
 84 
 
 2055 
 
 2141 
 
 2226 
 
 2312 
 
 2397 
 
 2483 
 
 2568 
 
 2653 
 
 2739 
 
 2824 
 
 
 
 85 
 
 2910 
 
 2995 
 
 3080 
 
 3166 
 
 3251 
 
 3337 
 
 3422 
 
 3507 
 
 3593 
 
 3678 
 
 
 
 86 
 
 3764 
 
 3849 
 
 3934 
 
 4020 
 
 4105 
 
 4190 
 
 4276 
 
 4361 
 
 4447 
 
 4532 
 
 
 
 87 
 
 4617 
 
 4703 
 
 4788 
 
 4873 
 
 4959 
 
 5044 
 
 5130 
 
 5215 
 
 5300 
 
 5386 
 
 
 
 88 
 
 5471 
 
 5556 
 
 5642 
 
 5727 
 
 5812 
 
 5898 
 
 5983 
 
 6068 
 
 6154 
 
 6239 
 
 
 
 89 
 
 6325 
 
 6410 
 
 6495 
 
 6581 
 
 6666 
 
 6751 
 
 6837 
 
 6922 
 
 7007 
 
 7092 
 
 
 
 5090 
 
 7178 
 
 7263 
 
 7348 
 
 7434 
 
 7519 
 
 7604 
 
 7690 
 
 7775 
 
 7860 
 
 7946 
 
 
 
 91 
 
 8031 
 
 8116 
 
 8202 
 
 8287 
 
 8372 
 
 8457 
 
 8543 
 
 8628 
 
 8713 
 
 8799 
 
 
 
 92 
 
 8884 
 
 8969 
 
 9055 
 
 9140 
 
 9225 
 
 9310 
 
 9396 
 
 9481 
 
 9566 
 
 9651 
 
 
 Q5 
 
 93 
 
 c^737 
 
 9822 
 
 9907 
 
 9993 
 
 0078 
 
 0163 
 
 0248 
 
 0334 
 
 0419 
 
 0504 
 
 
 1 9 
 
 94 
 
 7070589 
 
 0675 
 
 0760 
 
 0845 
 
 0930 
 
 1016 
 
 1101 
 
 1186 
 
 1271 
 
 1357 
 
 
 2 17 
 
 3 26 
 
 95 
 
 1442 
 
 1527 
 
 1612 
 
 1698 
 
 1783 
 
 1868 
 
 1953 
 
 2039 
 
 2124 
 
 2209 
 
 
 4 34 
 
 96 
 
 2294 
 
 2379 
 
 2465 
 
 2550 
 
 2635 
 
 2720 
 
 2805 
 
 2891 
 
 2976 
 
 3061 
 
 
 5 43 
 
 6 51 
 
 7 30 
 
 8S8 
 
 97 
 
 3146 
 
 3232 
 
 3317 
 
 3402 
 
 3487 
 
 3572 
 
 3658 
 
 3743 
 
 3828 
 
 3913 
 
 
 98 
 
 3998 
 
 4083 
 
 4169 
 
 4254 
 
 4339 
 
 4424 
 
 4509 
 
 4595 
 
 4680 
 
 4765 
 
 
 99 
 
 N. 
 
 4850 
 
 4935 
 
 1 
 
 5020 
 
 2 
 
 5106 
 
 3 
 
 5191 
 4 
 
 5276 
 5 
 
 5S61 
 6 
 
 5446 
 7 
 
 553 1 
 
 8 
 
 56;7 
 
 9 
 
 86 
 
 9 77 
 Pts. 
 
 
 
(88) 
 
 LOGARITHMS N.51000L. 70? 
 
 5100 
 
 
 
 1 
 
 5737 
 
 2 
 
 5872 
 
 3 
 
 5957 
 
 4 
 
 6042 
 
 5 
 
 6128 
 
 6 
 
 6213 
 
 7 
 
 6298 
 
 8 
 6383 
 
 9 
 
 6468 
 
 D 
 
 Pro. 
 
 7075702 
 
 
 01 
 
 6553 
 
 6638 
 
 6724 
 
 6809 
 
 6894 
 
 6979 
 
 7064 
 
 7149 
 
 7234 
 
 7319 
 
 
 86 
 
 02 
 
 7405 
 
 7490 
 
 7575 
 
 7660 
 
 7745 
 
 7830 
 
 7915 
 
 8000 
 
 8085 
 
 8171 
 
 
 1 9 
 
 03 
 
 8256 
 
 8«41 
 
 8426 
 
 8511 
 
 8596 
 
 S6S1 
 
 8766 
 
 8851 
 
 8936 
 
 9022 
 9872 
 
 
 217 
 
 3 2G 
 
 4 34 
 
 04 
 
 9107 
 
 9192 
 
 9277 
 
 9362 
 
 9447 
 
 9532 
 
 9617 
 
 9702 
 
 9787 
 
 
 05 
 
 9957 
 
 0043 
 
 0128 
 
 0213 
 
 0298 
 
 0383 
 
 0468 
 
 0553 
 
 0638 
 
 0723 
 
 
 5 43 
 
 00 
 
 7080803 
 
 0893 
 
 0978 
 
 1063 
 
 1148 
 
 1233 
 
 1318 
 
 1403 
 
 1488 
 
 1574 
 
 
 6 52 
 
 7 60 
 
 8 69 
 
 07 
 
 1659 
 
 1744 
 
 1829 
 
 1914 
 
 1999 
 
 2084 
 
 2169 
 
 2254 
 
 2339 
 
 2424 
 
 
 08 
 
 2509 
 
 2594 
 
 2679 
 
 2764 
 
 .2849 
 
 2934 
 
 3019 
 
 3104 
 
 3189 
 
 3274 
 
 85 
 
 9 77 
 
 09 
 
 3359 
 
 3444 
 
 3529 
 
 3614 
 
 3699 
 
 3784 
 
 3869 
 
 39^'4 
 
 4039 
 
 4124 
 
 
 5110 
 
 4209 
 
 4294 
 
 4379 
 
 4464 
 
 4549 
 
 4634 
 
 4719 
 
 #804 
 
 4889 
 
 4974 
 
 
 
 11 
 
 5059 
 
 5144 
 
 5229 
 
 5314 
 
 5399 
 
 5484 
 
 5569 
 
 5654 
 
 5739 
 
 5823 
 
 
 
 12 
 
 5908 
 
 5993 
 
 6078 
 
 6163 
 
 6248 
 
 6333 
 
 6418 
 
 6503 
 
 6588 
 
 6673 
 
 
 
 13 
 
 6758 
 
 6843 
 
 6928 
 
 7013 
 
 7098 
 
 7183 
 
 7268 
 
 7352 
 
 7437 
 
 7522 
 
 
 
 14 
 
 7607 
 
 7692 
 
 7777 
 
 7862 
 
 7947 
 
 8032 
 
 8117 
 
 8202 
 
 8287 
 
 8371 
 
 i 
 
 
 15 
 
 8456 
 
 8541 
 
 8626 
 
 8711 
 
 8796 
 
 8881 
 
 8966 
 
 9051 
 
 9136 
 
 9220 
 
 
 16 
 
 9305 
 
 9390 
 
 9475 
 
 9560 
 
 9645 
 
 9730 
 
 9815 
 
 9900 
 
 9984 
 
 0069 
 
 
 
 17 
 
 7090154 
 
 0239 
 
 0324 
 
 0409 
 
 0494 
 
 0579 
 
 0663 
 
 0748 
 
 0833 
 
 0918 
 
 
 
 18 
 
 1003 
 
 1088 
 
 1173 
 
 1257 
 
 1342 
 
 1427 
 
 1512 
 
 1597 
 
 1682 
 
 1766 
 
 
 
 19 
 
 1851 
 
 1936 
 
 2021 
 
 2106 
 
 2191 
 
 2275 
 
 2360 
 
 2445 
 
 2530 
 
 2615 
 
 
 
 5120 
 
 2700 
 
 2784 
 
 2869 
 
 2954 
 
 3039 
 
 3124 
 
 3209 
 
 3293 
 
 3378 
 
 3463 
 
 
 
 21 
 
 3548 
 
 3633 
 
 3717 
 
 3802 
 
 3887 
 
 3972 
 
 4057 
 
 4141 
 
 4226 
 
 4311 
 
 
 
 22 
 
 4396 
 
 4481 
 
 4565 
 
 4650 
 
 4735 
 
 4820 
 
 4904 
 
 4989 
 
 5074 
 
 5159 
 
 
 
 23 
 
 5244 
 
 5328 
 
 5413 
 
 5498 
 
 5583 
 
 5667 
 
 5752 
 
 5837 
 
 5922 
 
 6006 
 
 
 
 24 
 
 6091 
 
 6176 
 
 6261 
 
 6345 
 
 6430 
 
 6515 
 
 6600 
 
 6684 
 
 6769 
 
 6854 
 
 
 
 25 
 
 6939 
 
 7023 
 
 7108 
 
 7193 
 
 7278 
 
 7362 
 
 7447 
 
 7532 
 
 7617 
 
 7701 
 
 
 
 26 
 
 7786 
 
 7871 
 
 7955 
 
 8040 
 
 8125 
 
 8210 
 
 8294 
 
 8379 
 
 8464 
 
 8548 
 
 
 
 27 
 
 8633 
 
 8718 
 
 8803 
 
 8887 
 
 8972 
 
 9057 
 
 9141 
 
 9226 
 
 9311 
 
 9395 
 
 
 
 28 
 
 9480 
 
 9565 
 
 9650 
 
 9734 
 
 9819 
 
 9904 
 
 9988 
 
 0073 
 
 0158 
 
 0242 
 
 
 
 29 
 
 7100327 
 
 0412 
 
 0496 
 
 0581 
 
 0666 
 
 0750 
 
 0835 
 
 0920 
 
 1004 
 
 1089 
 
 
 
 5130 
 
 1174 
 
 1258 
 
 1343 
 
 1428 
 
 1512 
 
 1597 
 
 1682 
 
 1766 
 
 1851 
 
 1936 
 
 
 
 31 
 
 2020 
 
 2105 
 
 2189 
 
 2274 
 
 2359 
 
 2443 
 
 2528 
 
 2613 
 
 2697 
 
 2782 
 
 
 
 32 
 
 ^2866 
 
 2951 
 
 3036 
 
 3120 
 
 3205 
 
 3290 
 
 3374 
 
 3459 
 
 3543 
 
 3628 
 
 
 
 33 
 
 3713 
 
 3797 
 
 3882 
 
 3966 
 
 4051 
 
 4136 
 
 4220 
 
 4305 
 
 4389 
 
 4474 
 
 
 
 34 
 
 4559 
 
 4643 
 
 4728 
 
 4812 
 
 4897 
 
 4982 
 
 5066 
 
 5151 
 
 5235 
 
 5320 
 
 
 
 35 
 
 5404 
 
 5489 
 
 5574 
 
 5658 
 
 5743 
 
 5827 
 
 5912 
 
 5996 
 
 6081 
 
 6166 
 
 
 
 36 
 
 6250 
 
 6335 
 
 6419 
 
 6504 
 
 6588 
 
 6673 
 
 6757 
 
 6842 
 
 6927 
 
 7011 
 
 
 
 37 
 
 7096 
 
 7180 
 
 7265 
 
 7349 
 
 7434 
 
 7518 
 
 7603 
 
 7687 
 
 7772 
 
 7856 
 
 
 
 38 
 
 7941 
 
 8026 
 
 8110 
 
 8195 
 
 8279 
 
 8364 
 
 8448 
 
 8533 
 
 8617 
 
 8702 
 
 
 
 39 
 
 8786 
 
 8871 
 
 8955 
 
 9040 
 
 9124 
 
 9209 
 
 9293 
 
 9378 
 
 9462 
 
 9547 
 
 
 
 5140 
 
 9631 
 
 9716 
 
 9800 
 
 9885 
 
 9969 
 
 0054 
 
 0138 
 
 0223 
 
 0307 
 
 0392 
 
 
 
 41 
 
 7110476 
 
 0561 
 
 0645 
 
 0729 
 
 0814 
 
 0898 
 
 0983 
 
 1067 
 
 1152 
 
 1236 
 
 
 
 42 
 
 1321 
 
 1405 
 
 1490 
 
 1574 
 
 1659 
 
 1743 
 
 1827 
 
 1912 
 
 1996 
 
 2081 
 
 
 85 
 
 43 
 
 2165 
 
 2250 
 
 2334 
 
 2419 
 
 2503 
 
 2587 
 
 2672 
 
 2756 
 
 2841 
 
 2925 
 
 
 1 9 
 
 44 
 
 3010 
 
 3094 
 
 3178 
 
 3263 
 
 3347 
 
 3432 
 
 3516 
 
 3601 
 
 3685 
 
 3769 
 
 
 2 17 
 
 3 26 
 
 45 
 
 3854 
 
 3938 
 
 4023 
 
 4107 
 
 4191 
 
 4276 
 
 4360 
 
 4445 
 
 4529 
 
 4613 
 
 
 4 34 
 
 46 
 
 4698 
 
 4782 
 
 4867 
 
 4951 
 
 5035 
 
 5120 
 
 5204 
 
 5289 
 
 5373 
 
 5457 
 
 
 5 43 
 
 47 
 
 5542 
 
 5626 
 
 5710 
 
 5795 
 
 5879 
 
 5964 
 
 6048 
 
 6132 
 
 6217 
 
 6301 
 
 
 651 
 
 7 60 
 
 8 68 
 
 48 
 
 6385 
 
 6470 
 
 6554 
 
 6638 
 
 6723 
 
 6807 
 
 6892 
 
 6976 
 
 7060 
 
 7145 
 
 
 49 
 N. 
 
 7229 
 
 7313 
 1 
 
 7398 
 
 2 
 
 7482 
 
 3 
 
 7566 
 4 
 
 7651 
 5 
 
 7735 
 
 6 
 
 7819 
 
 7004 
 
 7988 
 
 9 
 
 
 9 77 
 
 
 
 7 
 
 8 
 
 "D 
 
 Pts. 
 
N.> 
 
 
 
 
 
 
 
 
 
 
 
 
 51500 L. 711 OF NUMBERS. 
 
 (.«y; 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 J 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D Pro. 
 
 5150 
 
 7118072 
 
 8157 
 
 8241 
 
 832.^ 
 
 8410 
 
 8494 
 
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 8663 
 
 8747 
 
 8831 
 
 
 51 
 
 8915 
 
 9000 
 
 9084 
 
 916^ 
 
 9253 
 
 9337 
 
 9421 
 
 9506 
 
 9590 
 
 9674 
 
 84 
 
 52 
 
 9759 
 
 9843 
 
 9927 
 
 OGll 
 
 0096 
 
 018C 
 
 > 0264 
 
 0349 
 
 0433 
 
 0517 
 
 1 8 
 
 53 
 
 7120601 
 
 0686 
 
 0770 
 
 0854 
 
 ^ 0939 
 
 1023 
 
 1107 
 
 1191 
 
 1276 
 
 1360 
 
 2 17 
 
 3 25 
 
 4 34 
 
 54 
 
 1444 
 
 1528 
 
 1613 
 
 1697 
 
 1781 
 
 1865 
 
 1950 
 
 2034 
 
 2118 
 
 2202 
 
 55 
 
 2287 
 
 2371 
 
 2455 
 
 2539 
 
 2624 
 
 2708 
 
 2792 
 
 2876 
 
 2961 
 
 3045 
 
 5 42 
 
 56 
 
 3129 
 
 3213 
 
 3298 
 
 3382 
 
 3466 
 
 3550 
 
 3634 
 
 3719 
 
 3803 
 
 3887 
 
 6 50 
 
 7 59 
 
 8 67 
 
 57 
 
 3971 
 
 4056 
 
 4140 
 
 4224 
 
 4308 
 
 4392 
 
 4477 
 
 4561 
 
 4645 
 
 4729 
 
 58 
 59 
 
 4813 
 5655 
 
 4898 
 5739 
 
 4982 
 5824 
 
 5066 
 5908 
 
 5150 
 5992 
 
 5234 
 6076 
 
 5319 
 6160 
 
 5403 
 6245 
 
 5487 
 6329 
 
 5571 
 6413 
 
 9 76 
 
 
 5160 
 
 6497 
 
 6581 
 
 6665 
 
 6750 
 
 6834 
 
 6918 
 
 7002 
 
 7086 
 
 7170 
 
 7254 
 
 
 61 
 
 7339 
 
 7423 
 
 7507 
 
 7591 
 
 7675 
 
 7759 
 
 7843 
 
 7928 
 
 8012 
 
 8096 
 
 
 62 
 
 8180 
 
 8264 
 
 8348 
 
 8432 
 
 8517 
 
 8601 
 
 8685 
 
 8769 
 
 8853 
 
 8937 
 
 
 63 
 
 9021 
 
 9105 
 
 9189 
 
 9274 
 
 9358 
 
 9442 
 
 9526 
 
 9610 
 
 9694 
 
 9778 
 
 
 64 
 
 9862 
 
 9946 
 
 0031 
 
 0115 
 
 0199 
 
 0283 
 
 0367 
 
 0451 
 
 0535 
 
 0619 
 
 
 65 
 
 7130703 
 
 0787 
 
 0871 
 
 0956 
 
 1040 
 
 1124 
 
 1208 
 
 1292 
 
 1376 
 
 1460 
 
 
 66 
 
 1544 
 
 1628 
 
 1712 
 
 1796 
 
 1880 
 
 1964 
 
 2048 
 
 2132 
 
 2217 
 
 2301 
 
 
 67 
 
 2385 
 
 2469 
 
 2553 
 
 2637 
 
 2721 
 
 2805 
 
 2889 
 
 2973 
 
 3057 
 
 3141 
 
 
 68 
 
 3225 
 
 3309 
 
 3393 
 
 3477 
 
 3561 
 
 3645 
 
 3729 
 
 3813 
 
 3897 
 
 3981 
 
 
 69 
 
 4065 
 
 4149 
 
 4233 
 
 4317 
 
 4401 
 
 4485 
 
 4569 
 
 4653 
 
 4737 
 
 4821 ^ 
 
 4 
 
 5170 
 
 4905 
 
 4989 
 
 5073 
 
 5157 
 
 5241 
 
 5325 
 
 5409 
 
 5493 
 
 5577 
 
 5661 
 
 
 71 
 
 5745 
 
 5829 
 
 5913 
 
 5997 
 
 6081 
 
 6165 
 
 6249 
 
 6333 
 
 6417 
 
 6501 
 
 
 72 
 
 6585 
 
 6669 
 
 6753 
 
 6837 
 
 6921 
 
 7005 
 
 7089 
 
 7173 
 
 7257 
 
 7341 
 
 
 73 
 
 7425 
 
 7509 
 
 7593 
 
 7677 
 
 7761 
 
 7845 
 
 7928 
 
 8012 
 
 8096 
 
 8180 
 
 
 74 
 
 8264 
 
 8348 
 
 8432 
 
 8516 
 
 8600 
 
 8684 
 
 8768 
 
 8852 
 
 8936 
 
 9020 
 
 
 75 
 
 9104 
 
 9187 
 
 9271 
 
 9355 
 
 9439 
 
 9523 
 
 9607 
 
 9691 
 
 9775 
 
 9859 
 
 
 76 
 
 9943 
 
 0027 
 
 0110 
 
 0194 
 
 0278 
 
 0362 
 
 0446 
 
 0530 
 
 0614 
 
 0698 
 
 
 77 
 
 7140782 
 
 0866 
 
 0949 
 
 1033 
 
 1117 
 
 1201 
 
 1285 
 
 1369 
 
 1453 
 
 1537 
 
 
 78 
 
 1620 
 
 1704 
 
 1788 
 
 1872 
 
 1956 
 
 2040 
 
 2124 
 
 2208 
 
 2291 
 
 2375 
 
 
 79 
 
 2459 
 
 2543 
 
 2627 
 
 2711 
 
 2795 
 
 2878 
 
 2962 
 
 3046 
 
 3130 
 
 3214 
 
 
 5180 
 
 3298 
 
 3381 
 
 3465 
 
 3549 
 
 3633 
 
 3717 
 
 3801 
 
 3884 
 
 3968 
 
 4052 
 
 
 81 
 
 4136 
 
 4220 
 
 4304 
 
 4387 
 
 447 1 
 
 4555 
 
 4639 
 
 4723 
 
 4806 
 
 4890 
 
 
 82 
 
 4974 
 
 5058 
 
 5142 
 
 5226 
 
 5309 
 
 53Q3 
 
 5477 
 
 5561 
 
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 5728 
 
 
 83 
 
 5812 
 
 5896 
 
 5980 
 
 6063 
 
 6147 
 
 6231 
 
 6315 
 
 6399 
 
 6482 
 
 6566 
 
 
 84 
 
 6650 
 
 6734 
 
 6817 
 
 6901 
 
 6985 
 
 7069 
 
 7153 
 
 7236 
 
 7320 
 
 7404 
 
 
 85 
 
 7488 
 
 7571 
 
 7655 
 
 7739 
 
 7823 
 
 7906 
 
 7990 
 
 8074 
 
 8158 
 
 8241 
 
 
 86 
 
 8325 
 
 8409 
 
 8493 
 
 8576 
 
 8660 
 
 8744 
 
 8828 
 
 8911 
 
 8995 
 
 9079 
 
 
 87 
 
 9162 
 
 9246 
 
 9330 
 
 9414 
 
 9497 
 
 9581 
 
 9665 
 
 9749 
 
 9832 
 
 9916 
 
 
 88 
 
 7150000 
 
 0083 
 
 0167 
 
 0251 
 
 0335 
 
 0418 
 
 0502 
 
 0586 
 
 0669 
 
 0753 
 
 
 89 
 
 0837 
 
 0920 
 
 1004 
 
 1088 
 
 1171 
 
 1255 
 
 1339 
 
 1423 
 
 1506 
 
 1590 
 
 
 5190 
 
 1674 
 
 1757 
 
 1841 
 
 1925 
 
 2008 
 
 2092 
 
 2176 
 
 2259 
 
 2343 
 
 2427 
 
 
 91 
 
 2510 
 
 2594 
 
 2678 
 
 2761 
 
 2845 
 
 2929 
 
 3012 
 
 3096 
 
 3180 
 
 3263 ' 
 
 
 92 
 
 3347 
 
 3430 
 
 3514 
 
 3598 
 
 3681 
 
 3765 
 
 3849 
 
 3932 
 
 4016 
 
 4100 
 
 83 
 
 93 
 
 4183 
 
 4267 
 
 4350 
 
 4434 
 
 4518 
 
 4601 
 
 4685 
 
 4769 
 
 4852 
 
 4936 
 
 1 8 
 
 94 
 
 5019 
 
 5103 
 
 5187 
 
 5270 
 
 5354 
 
 5438 
 
 5521 
 
 5605 
 
 5688 ^ 
 
 5772 
 
 2 17 
 S 25 
 
 95 
 
 5856 
 
 5939 
 
 6023 
 
 6106 
 
 6190 
 
 6273 
 
 6357 
 
 6441 
 
 6524 ( 
 
 5608 
 
 4 33 
 
 96 
 
 6691 
 
 6775 
 
 6859 
 
 6942 
 
 7026 
 
 7109 
 
 7193 
 
 7276 
 
 7360 "3 
 
 ^444 
 
 5 42 
 
 97 
 
 7527 
 
 7611 
 
 7694 
 
 7778 
 
 7861 
 
 7945 
 
 8029 
 
 8112 
 
 8196 ^ 
 
 5279 
 
 6 50 
 
 7 58 
 
 8 66 
 
 98 
 
 8363 
 
 8446 
 
 8530 
 
 8613 
 
 8697 
 
 8780 
 
 3864 
 
 3948 
 
 9031 S 
 
 115 
 
 99 
 
 9198 
 
 9282 
 1 
 
 9365 
 2 
 
 9449 
 
 3 
 
 9532 
 
 9616 < 
 5 
 
 }699 { 
 
 6 
 
 P783 
 
 )866 9 
 
 950 1 
 
 9 h 
 
 9|75 
 
 iPts. 
 
 N. 
 
 
 
 4 
 
 7 
 
 8 
 
 2N 
 
(90) 
 
 LOGARITHMS N. 52000 L. 7 
 
 161 
 
 N. 
 
 
 
 1 
 
 0117 
 
 2 
 
 0200 
 
 3 
 
 0284 
 
 4 
 
 0367 
 
 5 
 
 0451 
 
 6 
 
 0535 
 
 7 
 
 0618 
 
 8 
 0702 
 
 9 
 
 0785 
 
 D 
 
 Pro. 
 
 5200 
 
 7160033 
 
 
 01 
 
 0869 
 
 OP52 
 
 1036 
 
 1119 
 
 1203 
 
 1286 
 
 1370 
 
 1453 
 
 1537 
 
 1620 
 
 
 84 
 
 02 
 
 1703 
 
 1787 
 
 1870 
 
 1954 
 
 2037 
 
 2121 
 
 2204 
 
 2288 
 
 2371 
 
 2455 
 
 
 1 
 
 8 
 
 03 
 
 2538 
 
 2622 
 
 2705 
 
 2789 
 
 2872 
 
 2956 
 
 3039 
 
 3123 
 
 3206 
 
 3289 
 
 
 2 
 3 
 4 
 
 17 
 25 
 34 
 
 04 
 
 3373 
 
 3456 
 
 3540 
 
 3623 
 
 3707 
 
 3790 
 
 3874 
 
 3957 
 
 4040 
 
 4124 
 
 
 05 
 
 4207 
 
 4291 
 
 4374 
 
 4458 
 
 4541 
 
 4625 
 
 4708 
 
 4791 
 
 4875 
 
 495«8 
 
 
 5 
 
 42 
 
 06 
 
 5042 
 
 5125 
 
 5208 
 
 5292 
 
 5375 
 
 5459 
 
 5542 
 
 5626 
 
 5709 
 
 5792 
 
 
 6 
 
 7 
 8 
 
 50 
 59 
 67 
 
 07 
 
 5876 
 
 5959 
 
 6043 
 
 6126 
 
 6209 
 
 6293 
 
 6576 
 
 6460 
 
 6543 
 
 6626 
 
 
 OS 
 
 6710 
 
 6793 
 
 6877 
 
 6960 
 
 7043 
 
 7127 
 
 7210 
 
 7293 
 
 7377 
 
 7460 
 
 
 9 
 
 76 
 
 09 
 
 7544 
 
 7627 
 
 7710 
 
 7794 
 
 7877 
 
 7960 
 
 8044 
 
 8127 
 
 8211 
 
 8294 
 
 
 
 5210 
 
 8377 
 
 8461 
 
 8544 
 
 8627 
 
 8711 
 
 8794 
 
 8877 
 
 8961 
 
 9044 
 
 9127 
 
 
 
 11 
 
 9211 
 
 9294 
 
 9377 
 
 9461 
 
 9544 
 
 9627 
 
 9711 
 
 9794 
 
 9877 
 
 9961 
 
 
 
 12 
 
 7170044 
 
 0127 
 
 0211 
 
 02!)4 
 
 0377 
 
 0461 
 
 0544 
 
 0627 
 
 0711 
 
 0794 
 
 
 
 13 
 
 0877 
 
 0961 
 
 1044 
 
 1127 
 
 1210 
 
 1294 
 
 1377 
 
 1460 
 
 1544 
 
 1627 
 
 
 
 14 
 
 1710 
 
 1794 
 
 1877 
 
 1960 
 
 2043 
 
 2127 
 
 2210 
 
 2293 
 
 2377 
 
 2460 
 
 
 
 15 
 
 2543 
 
 2626 
 
 2710 
 
 2793 
 
 2876 
 
 2959 
 
 3043 
 
 3126 
 
 3209 
 
 3293 
 
 
 
 16 
 
 3376 
 
 3459 
 
 3542 
 
 3626 
 
 3709 
 
 3792 
 
 3875 
 
 3959 
 
 4042 
 
 4125 
 
 
 
 17 
 
 4208 
 
 42Q2 
 
 4375 
 
 4458 
 
 4541 
 
 4625 
 
 4708 
 
 4791 
 
 4874 
 
 4958 
 
 
 
 18 
 
 5041 
 
 5124 
 
 5207 
 
 5290 
 
 5374 
 
 5457 
 
 5540 
 
 5623 
 
 5707 
 
 5790 
 
 
 
 19 
 
 5873 
 
 5956 
 
 6039 
 
 6123 
 
 6206 
 
 6289 
 
 6372 
 
 6455 
 
 6539 
 
 6622 
 
 
 
 5220 
 
 6705 
 
 6788 
 
 6871 
 
 6955 
 
 7038 
 
 7121 
 
 7204 
 
 7287 
 
 7371 
 
 7454 
 
 
 
 21 
 
 7537 
 
 7620 
 
 7703 
 
 7786 
 
 7870 
 
 7953 
 
 8036 
 
 8119 
 
 8202 
 
 8286 
 
 
 
 22 
 
 8369 
 
 8452 
 
 8535 
 
 8618 
 
 8701 
 
 8784 
 
 8868 
 
 8951 
 
 9034 
 
 9117 
 
 
 
 23 
 
 9200 
 
 9283 
 
 9367 
 
 9450 
 
 9533 
 
 9616 
 
 9699 
 
 9782 
 
 9865 
 
 9949 
 
 
 
 24 
 
 7180032 
 
 0115 
 
 0198 
 
 0281 
 
 0364 
 
 0447 
 
 0530 
 
 0614 
 
 0697 
 
 0780 
 
 
 
 25 
 
 0863 
 
 0946 
 
 1029 
 
 1112 
 
 1195 
 
 1279 
 
 1362 
 
 1445 
 
 1 528 
 
 1611 
 
 
 
 26 
 
 1694 
 
 1777 
 
 1860 
 
 1943 
 
 2026 
 
 2110 
 
 2193 
 
 2276 
 
 2359 
 
 2442 
 
 
 
 27 
 
 2525 
 
 2608 
 
 2691 
 
 2774 
 
 2857 
 
 2940 
 
 3023 
 
 3107 
 
 3190 
 
 3273 
 
 
 
 28 
 
 3356 
 
 3439 
 
 3522 
 
 3605 
 
 3688 
 
 3771 
 
 3854 
 
 3937 
 
 4020 
 
 4103 
 
 
 
 29 
 
 4186 
 
 4269 
 
 4353 
 
 4436 
 
 4519 
 
 4602 
 
 4685 
 
 4768 
 
 4851 
 
 4934 
 
 
 
 5230 
 
 5017 
 
 5100 
 
 5183 
 
 5266 
 
 5349 
 
 5432 
 
 5515 
 
 5598 
 
 5681 
 
 57^. 
 
 
 
 31 
 
 5847 
 
 5930 
 
 6013 
 
 6096 
 
 6179 
 
 6262 
 
 6345 
 
 6428 
 
 6511 
 
 6594 
 
 83 
 
 
 32 
 
 6677 
 
 6760 
 
 6843 
 
 6926 
 
 7009 
 
 7092 
 
 7175 
 
 7258 
 
 7341 
 
 7424 
 
 
 
 33 
 
 7507 
 
 7590 
 
 7673 
 
 7756 
 
 7839 
 
 7922 
 
 8005 
 
 8088 
 
 8171 
 
 8254 
 
 
 
 34 
 
 8337 
 
 8420 
 
 8503 
 
 8586 
 
 8669 
 
 8752 
 
 8835 
 
 8918 
 
 9001 
 
 9084 
 
 
 
 35 
 
 9167 
 
 9250 
 
 9333 
 
 9416 
 
 9499 
 
 9582 
 
 9665 
 
 9748 
 
 9830 
 
 9913 
 
 
 
 36 
 
 9996 
 
 0079 
 
 0162 
 
 0245 
 
 0328 
 
 0411 
 
 0494 
 
 0577 
 
 0660 
 
 0743 
 
 
 
 37 
 
 7190826 
 
 0909 
 
 0992 
 
 i075 
 
 115*7 
 
 1240 
 
 1323 
 
 1406 
 
 1489 
 
 1572 
 
 
 
 38 
 
 1655 
 
 1738 
 
 1821 
 
 1904 
 
 1987 
 
 2069 
 
 2152 
 
 2235 
 
 23 1 8 
 
 2401 
 
 
 
 39 
 
 2484 
 
 2567 
 
 2650 
 
 2733 
 
 2816 
 
 2898 
 
 2981 
 
 3064 
 
 3147 
 
 3230 
 
 
 
 5240 
 
 3313 
 
 3396 
 
 3479 
 
 3562 
 
 3644 
 
 3727 
 
 3810 
 
 3893 
 
 3976 
 
 4059 
 
 
 
 41 
 
 4142 
 
 4224 
 
 4307 
 
 4390 
 
 4473 
 
 4556 
 
 4639 
 
 4722 
 
 4804 
 
 4887 
 
 
 
 42 
 
 4970 
 
 5053 
 
 5136 
 
 5219 
 
 5302 
 
 5384 
 
 5467 
 
 5550 
 
 5633 
 
 5716 
 
 
 83 j 
 
 43 
 
 5799 
 
 5881 
 
 5964 
 
 6047 
 
 6130 
 
 6213 
 
 6296 
 
 6378 
 
 6461 
 
 6544 
 
 
 1 
 
 8 
 
 44 
 
 6627 
 
 6710 
 
 6792 
 
 6875 
 
 6958 
 
 7041 
 
 7 1 24 
 
 7207 
 
 72«9 
 
 7372 
 
 
 2 
 3 
 
 17 
 25 
 
 45 
 
 7455 
 
 7538 
 
 7621 
 
 7703 
 
 7786 
 
 7869 
 
 7952 
 
 8034 
 
 8117 
 
 8200 
 
 ■^ 
 
 4 
 
 33 
 
 46 
 
 8283 
 
 8366 
 
 8448 
 
 8531 
 
 8614 
 
 8697 
 
 8780 
 
 8862 
 
 8945 
 
 9028 
 
 
 5 
 
 42 
 
 47 
 
 9111 
 
 9193 
 
 9276 
 
 9359 
 
 9442 
 
 9524 
 
 9607 
 
 9690 
 
 9773 
 
 9856 
 
 
 6 
 7 
 
 50 
 
 58 
 C6 
 
 48 
 
 9938 
 
 0021 
 
 0104 
 
 0187 
 
 0269 
 
 0352 
 
 Oi35 
 
 05 1 8 
 
 0600 
 
 0683 
 
 
 49 
 
 •N: 
 
 7200766 
 
 0848 
 
 r 
 
 0931 
 
 2 
 
 1014 
 
 3 
 
 1097 
 
 4 
 
 1179 
 
 5 
 
 1262 
 
 1345 
 
 1428 
 
 8 
 
 i5U> 
 
 9 
 
 D 
 
 9 
 
 75 
 
 
 
 6 
 
 « 7 
 
 F 
 
 >ts. 
 
N.5 
 
 — 
 
 ' 
 
 
 
 
 
 
 
 
 
 , V 1 
 
 2,500 L. 7^0 OF NUMBERS. 
 
 
 (yuj 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4' 
 
 5 
 
 6' 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pro. 
 
 5250 
 
 7201593 
 
 1676 
 
 1758 
 
 1841 
 
 1924 
 
 2007 
 
 2089 
 
 2172 
 
 2255 
 
 2337 
 
 
 
 51 
 
 2420 
 
 2503 
 
 2586 
 
 2668 
 
 2751 
 
 2834 
 
 2916 
 
 2999 
 
 3082 
 
 3164 
 
 
 82 
 
 52 
 
 3247 
 
 3330 
 
 3413 
 
 3495 
 
 3578 
 
 3661 
 
 3743 
 
 3826 
 
 3909 
 
 3991 
 
 
 
 8 
 
 53 
 
 4074 
 
 4157 
 
 4239 
 
 4322 
 
 4405 
 
 4487 
 
 4570 
 
 4653 
 
 4735 
 
 4818 
 
 
 2 
 
 16 
 
 54 
 
 4901 
 
 4983 
 
 5066 
 
 5149 
 
 5231 
 
 5314 
 
 5397 
 
 5479 
 
 5562 
 
 5645 
 
 
 3 
 4 
 
 25 
 33 
 
 55 
 
 5727 
 
 5^10 
 
 5892 
 
 5975 
 
 6058 
 
 6140 
 
 6223 
 
 6306 
 
 6388 
 
 6471 
 
 
 5 
 
 41 
 
 56 
 
 6554 
 
 6636 
 
 67 19 
 
 6801 
 
 63-^4 
 
 6967 
 
 7049 
 
 7132 
 
 7215 
 
 7297 
 
 
 6 
 
 7 
 g 
 
 49 
 
 57 
 
 57 
 
 7380 
 
 7462 
 
 7545 
 
 7623, 
 84^4 
 
 ^fb 
 
 7793 
 
 7875 
 
 7958 
 
 8041 
 
 8123 
 
 
 58 
 
 8206 
 
 8288 
 
 8371 
 
 8536 
 
 8619 
 
 8701 
 
 8784 
 
 8867 
 
 8949 
 
 
 9 
 
 74 
 
 59 
 
 9032 
 
 9114 
 
 9197 
 
 9279 
 
 9362 
 
 9445 
 
 9527 
 
 9610 
 
 9692 
 
 9775 
 
 
 
 5260 
 
 9857 
 
 9940 
 
 0023 
 
 0105 
 
 0188 
 
 0270 
 
 0353 
 
 0435 
 
 0518 
 
 0600 
 
 
 
 '61 
 
 7210683 
 
 0766 
 
 0348 
 
 0931 
 
 1013 
 
 1096 
 
 1178 
 
 1261 
 
 1343 
 
 1426 
 
 
 
 62 
 
 1508 
 
 1591 
 
 1674 
 
 1756 
 
 1839 
 
 1921 
 
 2004 
 
 2086 
 
 2169 
 
 225 1 
 
 
 
 63 
 
 2334 
 
 2416 
 
 2499 
 
 2581 
 
 2664 
 
 2746 
 
 2829 
 
 2911 
 
 2994 
 
 3076 
 
 
 
 64. 
 
 3159 
 
 3241 
 
 3324 
 
 3406 
 
 3489 
 
 3571 
 
 3654 
 
 3736 
 
 3819 
 
 3901 
 
 
 
 65 
 
 3984 
 
 4066 
 
 4149 
 
 423 1 
 
 4314 
 
 4396 
 
 4479 
 
 4561 
 
 4644 
 
 4726 
 
 
 
 66 
 
 4809 
 
 4891 
 
 4973 
 
 5056 
 
 5138 
 
 5221 
 
 5303 
 
 5386 
 
 5468 
 
 5551 
 
 
 
 67 
 
 5633 
 
 5716 
 
 5798 
 
 5881 
 
 5963 
 
 6045 
 
 6128 
 
 6210 
 
 6293 
 
 6375 
 
 
 
 68 
 
 6458 
 
 6540 
 
 6623 
 
 6705 
 
 6787 
 
 6870 
 
 6952 
 
 7035 
 
 7117 
 
 7200 
 
 
 
 69 
 
 7282 
 
 7364 
 
 7447 
 
 7529 
 
 7612 
 
 7694 
 
 7777 
 
 7859 
 
 7941 
 
 8024 
 
 
 
 5270 
 
 8106 
 
 8189 
 
 8271 
 
 8353 
 
 8436 
 
 8518 
 
 8601 
 
 8683 
 
 8765 
 
 8848 
 
 
 
 71 
 
 8930 
 
 9013 
 
 9095 
 
 9177 
 
 9260 
 
 9342 
 
 9424 
 
 9507 
 
 9589 
 
 9072 
 
 
 
 72 
 
 9754 
 
 9836 
 
 9919 
 
 0001 
 
 0084 
 
 0166 
 
 0248 
 
 0331 
 
 0413 
 
 0495 
 
 
 
 73 
 
 7220578 
 
 0660 
 
 0742 
 
 0825 
 
 0907 
 
 0990 
 
 1072 
 
 1154 
 
 1237 
 
 1319 
 
 
 
 74 
 
 1401 
 
 1484 
 
 1566 
 
 1648 
 
 1731 
 
 1813 
 
 1895 
 
 1978 
 
 2060 
 
 2142 
 
 
 
 75 
 
 2225 
 
 2307 
 
 2389 
 
 2472 
 
 2554 
 
 2636 
 
 2719 
 
 2801 
 
 2883 
 
 2966 
 
 
 
 76 
 
 3048 
 
 3130 
 
 3212 
 
 3295 
 
 3377 
 
 3459 
 
 3542 
 
 3624 
 
 3706 
 
 3789 
 
 
 
 77 
 
 3871 
 
 3953 
 
 4036 
 
 4118 
 
 42»0 
 
 4282 
 
 4365 
 
 4447 
 
 4529 
 
 4612 
 
 
 
 78 
 
 4694 
 
 4776 
 
 4858 
 
 4941 
 
 5023 
 
 5105 
 
 5188 
 
 5270 
 
 5352 
 
 5434 
 
 
 
 79 
 
 5517 
 
 5599 
 
 5681 
 
 5763 
 
 5846 
 
 5928 
 
 6010 
 
 6092 
 
 6175 
 
 6257 
 
 
 
 5280 
 
 6339 
 
 6421 
 
 6504 
 
 6586 
 
 6668 
 
 6750 
 
 6833 
 
 6915 
 
 6997 
 
 7079 
 
 
 
 81 
 
 7^62 
 
 7244 
 
 7326 
 
 7408 
 
 7491 
 
 7573 
 
 7655 
 
 7737 
 
 7820 
 
 7902 
 
 
 
 82 
 
 7984 
 
 8066 
 
 8148 
 
 8231 
 
 8313 
 
 8395 
 
 8477 
 
 8559 
 
 8642 
 
 8724 
 
 
 
 83 
 
 8806 
 
 8888 
 
 8971 
 
 9053 
 
 9135 
 
 9217 
 
 9299 
 
 9382 
 
 9464 
 
 9546 
 
 
 
 84 
 
 9628 
 
 9710 
 
 9792 
 
 9875 
 
 9957 
 
 0039 
 
 0121 
 
 0203 
 
 0286 
 
 0368 
 
 
 
 85 
 
 7230450 
 
 0532 
 
 0614 
 
 069.6 
 
 0779 
 
 0861 
 
 0943 
 
 1025 
 
 1107 
 
 1189 
 
 
 
 86 
 
 1272 
 
 1354 
 
 1436 
 
 1518 
 
 1600 
 
 1682 
 
 1765 
 
 1847 
 
 1929 
 
 2011 
 
 
 
 87 
 
 2093 
 
 2175 
 
 2257 
 
 2340 
 
 2422 
 
 2504 
 
 2586 
 
 2668 
 
 2750 
 
 2832 
 
 
 
 88 
 
 29 1 4 
 
 2997 
 
 3079 
 
 3161 
 
 3243 
 
 3325 
 
 3407 
 
 3489 
 
 3571 
 
 3654 
 
 
 
 89 
 
 3736 
 
 3818 
 
 3.900 
 
 3-982 
 
 4064 
 
 4146 
 
 4228 
 
 4310 
 
 4393 
 
 4475 
 
 
 
 5290 
 
 4557 
 
 4639 
 
 4721 
 
 4803 
 
 4885 
 
 4967 
 
 5049 
 
 5131 
 
 5213 
 
 5296 1 
 
 
 
 91 
 
 5378 
 
 5460 
 
 5542 
 
 5624 
 
 5706 
 
 5788 
 
 5870 
 
 5952 
 
 6034 
 
 6116 
 
 
 
 92 
 
 6198 
 
 6280 
 
 6362 
 
 6445 
 
 6527 
 
 6609 
 
 6691 
 
 6773 
 
 6855 
 
 6937 1 
 
 
 81 
 
 93 
 
 7019 
 
 7 101 
 
 7183 
 
 7265 
 
 7347 
 
 7429 
 
 7511 
 
 7593 
 
 7675 
 
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 1 
 
 8 
 
 94 
 
 7839 
 
 7921 
 
 8003 
 
 8086 
 
 S167 
 
 8250 
 
 8332 
 
 8414 
 
 8496 
 
 8578 
 
 
 2 
 
 3 
 
 16 
 
 24 
 
 95 
 
 8660 
 
 8742 
 
 8824 
 
 8906 
 
 8988 
 
 9070 
 
 9152 
 
 9234 
 
 9316 
 
 9398 
 
 82 
 
 4 
 
 32 
 
 96 
 
 94HO 
 
 9562 
 
 9641- 
 
 9726 
 
 9808 
 
 9890 
 
 9972 
 
 0054 
 
 0136 
 
 0218 
 
 5 
 
 41 
 
 97 
 
 7240300 
 
 0382 
 
 0464 
 
 0546 
 
 0628 
 
 0710 
 
 0792 
 
 0874 
 
 6956 
 
 1038 
 
 
 6 
 
 7 
 
 49 
 57 
 
 Gb 
 
 98 
 
 1120 
 
 1202 
 
 1283 
 
 1365 
 
 1447 
 
 1529 
 
 1611 
 
 1 693 
 
 1775 
 
 1857 
 
 
 / 
 
 8 
 
 99 
 
 NT 
 
 1939 
 
 2021 
 1 
 
 2103 
 
 2 
 
 2185 
 
 3 
 
 2267 
 
 4 
 
 2349 
 5 
 
 2431 
 
 6 
 
 2513 
 
 2595 
 
 8 
 
 2677 
 
 9 
 
 D 
 
 9 
 
 7J_ 
 
 
 
 P 
 
 ts. 
 
 2 IS 2 
 
(P2) 
 
 LOGARITHMS N. 53000 L. 724 
 
 5300 
 
 
 
 1 
 
 2841 
 
 2f 
 2923 
 
 3 
 
 3005 
 
 4 
 
 3086 
 
 5 
 
 3168 
 
 6 
 
 3250 
 
 7 
 
 3332 
 
 8 
 
 3414 
 
 9 
 
 3496 
 
 B 
 
 Pro. 
 
 7242759 
 
 01 
 
 3578 
 
 3660 
 
 3742 
 
 3824 
 
 3906 
 
 3988 
 
 4070 
 
 4151 
 
 4233 
 
 4315 
 
 
 82 
 
 02 
 
 4397 
 
 4479 
 
 4561 
 
 4643 
 
 4725 
 
 4807 
 
 4889 
 
 4971 
 
 5052 
 
 5134 
 
 
 1 8 
 
 03 
 
 5216 
 
 5298 
 
 5380 
 
 5462 
 
 554i 
 
 5626 
 
 5708 
 
 5790 
 
 5871 
 
 5953 
 
 
 2 16 
 
 3 25 
 
 4 33 
 
 04 
 
 6035 
 
 6117 
 
 6199 
 
 6281 
 
 6363 
 
 6445 
 
 6526 
 
 6608 
 
 6690 
 
 6772 
 
 
 03 
 
 6854 
 
 6936 
 
 7018 
 
 7099 
 
 7181 
 
 7263 
 
 7345 
 
 7427 
 
 7509 
 
 7591 
 
 
 541 
 
 06 
 
 7672 
 
 7754 
 
 7836 
 
 7918 
 
 8000 
 
 8082 
 
 8164 
 
 8245 
 
 8327 
 
 8409 
 
 
 6 49 
 
 7 67 
 
 8 66 
 
 07 
 
 8491 
 
 8573 
 
 8655 
 
 8736 
 
 8818 
 
 8900 
 
 8982 
 
 9064 
 
 9146 
 
 9227 
 
 
 08 
 
 9309 
 
 9391 
 
 9473 
 
 9555 
 
 9636 
 
 9718 
 
 9800 
 
 9882 
 
 9964 
 
 0045 
 
 
 9 74 ■. 
 
 09 
 
 7250127 
 
 0209 
 
 0291 
 
 0373 
 
 0454 
 
 0536 
 
 0618 
 
 0700 
 
 0782 
 
 0863 
 
 
 
 5310 
 
 0945 
 
 1027 
 
 1109 
 
 1191 
 
 1272 
 
 1354 
 
 1436 
 
 151,8 
 
 1599 
 
 1681 
 
 
 
 11 
 
 1763 
 
 1845 
 
 1927 
 
 2008 
 
 2090 
 
 2172 
 
 2254 
 
 2335 
 
 2417 
 
 2499 
 
 
 
 12 
 
 2581 
 
 2662 
 
 2744 
 
 2826 
 
 2908 
 
 2989 
 
 3071 
 
 3153 
 
 3235 
 
 3316 
 
 
 
 13 
 
 3398 
 
 3480 
 
 3562 
 
 3643 
 
 3725 
 
 3807 
 
 3889 
 
 3970 
 
 4052 
 
 4134 
 
 
 
 14 
 
 4216 
 
 4297 
 
 4379 
 
 4461 
 
 4542 
 
 4624 
 
 4706 
 
 4788 
 
 4869 
 
 4951 
 
 
 
 15 
 
 5033 
 
 5114 
 
 5196 
 
 5278 
 
 5360 
 
 5441 
 
 5523 
 
 5605 
 
 5686 
 
 5768 
 
 
 
 16 
 
 5850 
 
 5931 
 
 6013 
 
 6095 
 
 6176 
 
 6258 
 
 6340 
 
 6422 
 
 6503 
 
 6585 
 
 
 
 17 
 
 6667 
 
 6748 
 
 6830 
 
 6912 
 
 6993 
 
 7075 
 
 7157 
 
 7238 
 
 7320 
 
 7402 
 
 
 
 18 
 
 7483 
 
 7565 
 
 7647 
 
 7728 
 
 7810 
 
 7892 
 
 7973 
 
 8055 
 
 8137 
 
 8218 
 
 
 
 19 
 
 8300 
 
 8382 
 
 8463 
 
 8545 
 
 8626 
 
 8708 
 
 8790 
 
 8871 
 
 8953 
 
 9035 
 
 
 
 5320 
 
 9116 
 
 9198 
 
 9280 
 
 9361 
 
 9443 
 
 9524 
 
 9606 
 
 9688 
 
 9769 
 
 9851 
 
 
 
 21 
 
 9933 
 
 0014 
 
 0096 
 
 0177 
 
 0259 
 
 0341 
 
 0422 
 
 0504 
 
 0585 
 
 0667' 
 
 
 
 22 
 
 7260749 
 
 0830 
 
 0912 
 
 0994 
 
 1075 
 
 1157 
 
 1238 
 
 1320 
 
 1401 
 
 1483 
 
 
 
 23 
 
 1565 
 
 1646 
 
 1728 
 
 1809 
 
 1891 
 
 1973 
 
 2051 
 
 2136 
 
 2217 
 
 2299 
 
 
 
 24 
 
 2380 
 
 2462 
 
 2544 
 
 2625 
 
 2707 
 
 2788 
 
 2870 
 
 2951 
 
 3033 
 
 3115 
 
 
 
 25 
 
 3196 
 
 3278 
 
 3359 
 
 3441 
 
 3522 
 
 3604 
 
 3685 
 
 3767 
 
 3849 
 
 3930 
 
 
 
 26 
 
 4012 
 
 4093 
 
 4175 
 
 4256 
 
 4338 
 
 44J9 
 
 4501 
 
 4582 
 
 4664 
 
 4745 
 
 
 
 27 
 
 4827 
 
 4908 
 
 4990 
 
 5072 
 
 5153 
 
 5235 
 
 5316 
 
 5398 
 
 5479 
 
 5561 
 
 
 
 28 
 
 5642 
 
 5724 
 
 5805 
 
 5887 
 
 5968 
 
 <i050 
 
 6131 
 
 6213 
 
 6294 
 
 6376 
 
 
 
 29 
 
 6457 
 
 6539 
 
 6620 
 
 6702 
 
 6783 
 
 6865 
 
 6946 
 
 7028 
 
 7109 
 
 7191 
 
 
 
 5330 
 
 7272 
 
 7354 
 
 7435 
 
 7517 
 
 7598 
 
 7679 
 
 7761 
 
 7842 
 
 7924 
 
 800i 
 
 
 
 31 
 
 8087 
 
 8168 
 
 8250 
 
 8331 
 
 8413 
 
 8494 
 
 8576 
 
 8657 
 
 8739 
 
 8820 
 
 
 
 32 
 
 8901 
 
 8983 
 
 9064 
 
 9146 
 
 9227 
 
 9309 
 
 9390 
 
 9472 
 
 9553 
 
 9634 
 
 
 
 33 
 
 9716 
 
 9797 
 
 9879 
 
 9960 
 
 0042 
 
 0123 
 
 0204 
 
 0286 
 
 0367 
 
 0449 
 
 
 
 34 
 
 7270530 
 
 0612 
 
 0693 
 
 0774 
 
 0856 
 
 0937 
 
 1019 
 
 1100 
 
 1181 
 
 1263 
 
 
 
 35 
 
 1344 
 
 1426 
 
 1507 
 
 1588 
 
 1670 
 
 1751 
 
 1833 
 
 1914 
 
 1995 
 
 2077 
 
 
 
 36 
 
 2158 
 
 2240 
 
 2321 
 
 2402 
 
 2484 
 
 2565 
 
 2647 
 
 2728 
 
 2809 
 
 2891 
 
 
 
 37 
 
 2972 
 
 3053 
 
 3135 
 
 3216 
 
 3298 
 
 3379 
 
 3460 
 
 3542 
 
 3623 
 
 3704 
 
 
 
 38 
 
 3786 
 
 3867 
 
 394* 
 
 4030 
 
 411] 
 
 4192 
 
 4274 
 
 4355 
 
 44-37 
 
 4518 
 
 
 
 39 
 
 4599 
 
 4681 
 
 4762 
 
 4843 
 
 4925 
 
 5006 
 
 5087 
 
 5169 
 
 5250 
 
 5331 
 
 
 
 5340 
 
 5413 
 
 5494 
 
 5575 
 
 5657 
 
 5738 
 
 58 19 
 
 5901 
 
 5982 
 
 6063 
 
 6144 
 
 
 
 41 
 
 6226 
 
 6307 
 
 63 38 
 
 6170 
 
 6551 
 
 6632 
 
 6714 
 
 6795 
 
 6876 
 
 6958 
 
 
 
 42 
 
 7039 
 
 7120 
 
 7201 
 
 7283 
 
 7364 
 
 7445 
 
 7527 
 
 7608 
 
 7689 
 
 7770 
 
 
 81 
 
 43 
 
 7852 
 
 7933 
 
 8014 
 
 8096 
 
 8177 
 
 8258 
 
 8S39 
 
 8421 
 
 8502 
 
 8583 
 
 
 1) 8 
 
 44 
 
 8664 
 
 8746 
 
 8827 
 
 8908 
 
 8990 
 
 9071 
 
 9152 
 
 9233 
 
 9315 
 
 9396 
 
 
 2 16 
 
 3 24 
 
 45 
 
 9477 
 
 9558 
 
 9640 
 
 9721 
 
 9802 
 
 9883 
 
 9965 
 
 0046 
 
 0127 
 
 0208 
 
 
 4 32 
 
 46 
 
 7280290 
 
 0371 
 
 0452 
 
 0533 
 
 0614 
 
 0696 
 
 0777 
 
 0858 
 
 0939 
 
 1021 
 
 
 5 41 ^ 
 
 47 
 
 1102 
 
 1183 
 
 1264 
 
 1316 
 
 1427 
 
 1508 
 
 1589 
 
 1670 
 
 1752 
 
 1833 
 
 
 6 49 
 
 7 57 
 
 8 65 
 
 48 
 
 1914 
 
 1995 
 
 2076 
 
 21 58 
 
 2239 
 
 2320 
 
 2401 
 
 2482 
 
 2564 
 
 2645 
 
 
 49 
 
 N. 
 
 2726 
 
 2807 
 
 2888 
 
 2 
 
 2970 
 3 
 
 3051 
 
 4 
 
 3132 
 
 5 
 
 3213 
 
 6' 
 
 3294 
 
 7 
 
 3375 
 8 
 
 3457 
 
 9 
 
 
 9 73 
 
 
 
 J 
 
 D 
 
 PtsJi 
 
N. 53500 L.728 of numbers. (93) 
 
 N. 
 
 5350 
 
 
 
 1 
 
 3619 
 
 2 
 
 3700 
 
 3 
 
 3781 
 
 4 
 
 3863 
 
 5 
 
 3944 
 
 6 
 
 4025 
 
 7 
 
 4106 
 
 8 
 
 4187 
 
 9 
 
 4268 
 
 D 
 
 Pro. 
 
 7283538 
 
 
 
 51 
 
 4350 
 
 4431 
 
 4512 
 
 4593 
 
 4674 
 
 4755 
 
 4836 
 
 4918 
 
 4999 
 
 5080 
 
 
 81 
 
 52 
 
 5161 
 
 5242 
 
 5323 
 
 5404 
 
 5486 
 
 5567 
 
 5648 
 
 5729 
 
 5810 
 
 5891 
 
 
 1 8 
 
 53 
 
 5972 
 
 6054 
 
 6135 
 
 6216 
 
 6297 
 
 6378 
 
 6459 
 
 6540 
 
 6621 
 
 6703 
 
 
 2 16 
 
 3 24 
 
 4 32 
 
 54 
 
 6784 
 
 6865 
 
 6946 
 
 7027 
 
 7108 
 
 7189 
 
 7270 
 
 7351 
 
 7433 
 
 7514 
 
 
 55 
 
 7595 
 
 7676 
 
 7757 
 
 7838 
 
 7919 
 
 8000 
 
 8081 
 
 8162 
 
 8244 
 
 8325 
 
 
 541 
 
 56 
 
 8406 
 
 8487 
 
 8568 
 
 8649 
 
 8730 
 
 8811 
 
 8892 
 
 8973 
 
 9054 
 
 9135 
 
 
 6 49 
 
 7 57 
 
 8 65 
 
 57 
 
 ^ 9216 
 
 9298 
 
 9379 
 
 9460 
 
 9541 
 
 9622 
 
 9703 
 
 9784 
 
 9865 
 
 9946 
 
 
 58 
 
 7290027 
 
 0108 
 
 0189 
 
 0270 
 
 0351 
 
 0432 
 
 0513 
 
 0594 
 
 0675 
 
 0757 
 
 
 9 73 
 
 59 
 
 0838 
 
 0919 
 
 1000 
 
 1081 
 
 1162 
 
 1243 
 
 1324 
 
 1405 
 
 1486 
 
 1567 
 
 
 
 5360 
 
 1648 
 
 1729 
 
 1810 
 
 1891 
 
 1972 
 
 2053 
 
 2134 
 
 2215 
 
 2296 
 
 2377 
 
 
 
 61 
 
 2458 
 
 2539 
 
 2620 
 
 2701 
 
 2782 
 
 2863 
 
 2944 
 
 3025 
 
 3106 
 
 3 1 87 
 
 81 
 
 
 62 
 
 3268 
 
 3349 
 
 3430 
 
 3511 
 
 3592 
 
 3673 
 
 3754 
 
 3835 
 
 3916 
 
 3997 
 
 
 
 63 
 
 4078 
 
 4159 
 
 4240 
 
 4321 
 
 4402 
 
 4483 
 
 4564 
 
 4645 
 
 4726 
 
 4807 
 
 
 
 64 
 
 4888 
 
 4969 
 
 5050 
 
 5131 
 
 5212 
 
 5292 
 
 5373 
 
 5454 
 
 5535 
 
 5616 
 
 
 
 65 
 
 56^7 
 
 5778 
 
 5859 
 
 5940 
 
 6021 
 
 6102 
 
 6183 
 
 6264 
 
 6345 
 
 6426 
 
 
 
 66 
 
 6507 
 
 6588 
 
 6669 
 
 •6749 
 
 6830 
 
 6911 
 
 6992 
 
 7073 
 
 7154 
 
 7235 
 
 
 
 61 
 
 7316 
 
 7397 
 
 7478 
 
 7559 
 
 7640 
 
 7721 
 
 7801 
 
 7882 
 
 7963 
 
 8044 
 
 
 
 68 
 
 8125 
 
 8206 
 
 8287 
 
 8368 
 
 8449 
 
 8530 
 
 8610 
 
 8691 
 
 8772 
 
 8853 
 
 
 
 69 
 
 8934 
 
 9015 
 
 9096 
 
 9177 
 
 9258 
 
 9338 
 
 9419 
 
 9500 
 
 9581 
 
 9662 
 
 
 
 5370 
 
 974S 
 
 9824 
 
 9905 
 
 9985 
 
 0066 
 
 0147 
 
 0228 
 
 0309 
 
 0390 
 
 047 1 
 
 
 
 71 
 
 7300552 
 
 0632 
 
 0713 
 
 0794 
 
 0875 
 
 0956 
 
 1037 
 
 1118 
 
 1198 
 
 1279 
 
 
 
 72 
 
 1360 
 
 1441 
 
 1522 
 
 1603 
 
 1683 
 
 1764 
 
 184-5 
 
 1926 
 
 2007 
 
 2088 
 
 
 
 73 
 
 2168 
 
 2249 
 
 2330 
 
 2411 
 
 2492 
 
 2573 
 
 2653 
 
 2734 
 
 2815 
 
 2896 
 
 
 
 74 
 
 2977 
 
 3057 
 
 3138 
 
 3219 
 
 3300 
 
 3381 
 
 3461 
 
 3542 
 
 3623 
 
 3704 
 
 
 
 75 
 
 3785 
 
 3865 
 
 3946 
 
 4027 
 
 4108 
 
 4189 
 
 4269 
 
 4350 
 
 443] 
 
 4512 
 
 
 
 76 
 
 4593 
 
 4673 
 
 4754 
 
 4835 
 
 4916 
 
 4997 
 
 5077 
 
 5158 
 
 5239 
 
 5320 
 
 
 
 77 
 
 5400 
 
 5481 
 
 5562 
 
 5643 
 
 5723 
 
 5804 
 
 5885 
 
 5966 
 
 6046 
 
 6127 
 
 
 
 78 
 
 6208 
 
 6289 
 
 6369 
 
 6450 
 
 6531 
 
 6612 
 
 6692 
 
 6775 
 
 6854 
 
 6935 
 
 
 
 79 
 
 7015 
 
 7096 
 
 7177 
 
 7258 
 
 7338 
 
 7419 
 
 7500 
 
 7581 
 
 7661 
 
 7742 
 
 
 
 5380 
 
 .g823 
 
 7903 
 
 7984 
 
 8065 
 
 8 1 46 
 
 8226 
 
 8307 
 
 8388 
 
 8468 
 
 8549 
 
 
 
 81 
 
 8630 
 
 8711 
 
 8791 
 
 8872 
 
 8953 
 
 9033 
 
 9114 
 
 9195 
 
 9276 
 
 9356 
 
 
 
 82 
 
 9437 
 
 9518 
 
 9598 
 
 9679 
 
 9760 
 
 9840 
 
 9921 
 
 0002 
 
 0082 
 
 0163 
 
 
 
 83 
 
 7310244 
 
 0324 
 
 0405 
 
 0486 
 
 0567 
 
 0647 
 
 0728 
 
 0809 
 
 0889 
 
 0970 
 
 
 
 84 
 
 1051 
 
 1131 
 
 1212 
 
 1292 
 
 1373 
 
 1454 
 
 1534 
 
 1615 
 
 1696 
 
 1776 
 
 
 
 85 
 
 1857 
 
 1938 
 
 2018 
 
 2099 
 
 2180 
 
 2260 
 
 2341 
 
 2422 
 
 2502 
 
 2583 
 
 
 
 86 
 
 2663 
 
 2744 
 
 2825 
 
 2905 
 
 2986 
 
 3067 
 
 3147 
 
 3228 
 
 3309 
 
 3389 
 
 
 
 87 
 
 3470 
 
 3550 
 
 3631 
 
 3712 
 
 3792 
 
 3873 
 
 3953 
 
 4034 
 
 4115 
 
 4195 
 
 
 
 88 
 
 4276 
 
 4356 
 
 4437 
 
 4518 
 
 4598 
 
 4679 
 
 4759 
 
 4840 
 
 4921 
 
 5001 
 
 
 
 89 
 
 5082 
 
 5162 
 
 5243 
 
 5324 
 
 5404 
 
 5485 
 
 5565 
 
 5646 
 
 5727 
 
 5807 
 
 
 
 5390 
 
 5888 
 
 5968 
 
 6049 
 
 6129 
 
 6210 
 
 6291 
 
 6371 
 
 6452 
 
 6532 
 
 6613 
 
 
 
 91 
 
 6693 
 
 6774 
 
 6854 
 
 6935 
 
 7016 
 
 7096 
 
 7177 
 
 7257 
 
 7338 
 
 7418 
 
 
 
 92 
 
 7499 
 
 7579 
 
 7660 
 
 7740 
 
 7821 
 
 7902 
 
 7982 
 
 8063 
 
 8143 
 
 8224 
 
 
 80 
 
 93 
 
 8304 
 
 8385 
 
 8465 
 
 8546 
 
 8626 
 
 8707 
 
 8787 
 
 8868 
 
 8948 
 
 9029 
 
 
 1 8 
 
 94 
 
 9109 
 
 9190 
 
 9270 
 
 9351 
 
 9431 
 
 9512 
 
 9592 
 
 9673 
 
 9753 
 
 9834 
 
 
 2 16 
 
 3 24 
 
 95 
 
 9914 
 
 9995 
 
 0075 
 
 0156 
 
 0236 
 
 0317 
 
 0397 
 
 0478 
 
 0558 
 
 0639 
 
 
 432 
 
 96 
 
 7320719 
 
 0800 
 
 0880 
 
 0961 
 
 1041 
 
 1122 
 
 1202 
 
 1283 
 
 1363 
 
 1444 
 
 
 5 40 
 
 97 
 
 1524 
 
 1605 
 
 1685 
 
 1766 
 
 1846 
 
 1927 
 
 2007 
 
 2087 
 
 2168 
 
 2248 
 
 
 6 48 
 
 7 56 
 
 8 64 
 
 98 
 
 2329 
 
 2409 
 
 2490 
 
 2570 
 
 2651 
 
 2731 
 
 2812 
 
 2892 
 
 2972 
 
 3053 
 
 
 99 
 
 N. 
 
 3133 
 
 3214 
 
 3294 
 2 
 
 3375 
 
 3 
 
 3455 
 
 4 
 
 3535 
 
 3616 
 6 
 
 3696 
 
 7 
 
 3777 
 
 8 
 
 3857 
 
 9 
 
 JD^ 
 
 9 72 
 Pts. 
 
 
 
 1 
 
 5 
 
(94) 
 
 LOGARITHMS N. 54000 L.73^ 
 
 NT 
 
 
 
 1 
 
 4018 
 
 2 
 4098 
 
 3 
 
 4179 
 
 4 
 
 4259 
 
 5 
 
 4340 
 
 6 
 
 4420 
 
 7 
 
 4501 
 
 8 
 
 4581 
 
 9 
 
 4661 
 
 D 
 
 Pro. 
 
 5400 
 
 7323938 
 
 01 
 
 4742 
 
 4822 
 
 4903 
 
 4983 
 
 5063 
 
 5144 
 
 5224 
 
 5305 
 
 5385 
 
 5465 
 
 
 81 
 
 02 
 
 5546 
 
 5626 
 
 5707 
 
 5787 
 
 5867 
 
 5948 
 
 6028 
 
 6109 
 
 6189 
 
 6269 
 
 
 1 
 
 8 
 
 03 
 
 6350 
 
 6430 
 
 6510 
 
 6591 
 
 6671 
 
 6752 
 
 6832 
 
 6912 
 
 6993 
 
 7073 
 
 
 2 
 
 16 
 
 04 
 
 7153 
 
 7234 
 
 7314 
 
 7394 
 
 7475 
 
 7555 
 
 7636 
 
 7716 
 
 7796 
 
 7877 
 
 
 3 
 '4 
 
 24 
 32 
 
 05 
 
 7957 
 
 8037 
 
 8118 
 
 8198 
 
 8278 
 
 8359 
 
 8439 
 
 8519 
 
 8600 
 
 8680 
 
 
 5 
 
 41 
 
 06 
 
 8760 
 
 8841 
 
 8921 
 
 9001 
 
 9082 
 
 9162 
 
 9242 
 
 9323 
 
 9403 
 
 9483 
 
 
 6 
 
 49 
 
 07 
 
 9564 
 
 9644 
 
 9724 
 
 9805 
 
 9885 
 
 9965 
 
 001-6 
 
 0126 
 
 0206 
 
 0287 
 
 
 7 
 
 8 
 9 
 
 57 
 65 
 7.^ 
 
 08 
 
 7330367 
 
 0447 
 
 0527 
 
 0608 
 
 0688 
 
 0768 
 
 0S49 
 
 0929 
 
 1009 
 
 1090 
 
 
 09 
 
 1170 
 
 1250 
 
 1330 
 
 1411 
 
 1491 
 
 1571 
 
 1652 
 
 1732 
 
 1812 
 
 1892 
 
 
 
 5410 
 
 1973 
 
 2053 
 
 2133 
 
 2213 
 
 2294 
 
 2374 
 
 2454 
 
 2535 
 
 2615 
 
 2695 
 
 
 
 11 
 
 2775 
 
 2856 
 
 2936 
 
 3016 
 
 30 J 6 
 
 3177 
 
 3257 
 
 3337 
 
 3417 
 
 3498 
 
 
 
 12 
 
 3578 
 
 3658 
 
 3738 
 
 3819 
 
 3899 
 
 3979 
 
 4059 
 
 4140 
 
 4220 
 
 4300 
 
 
 
 13 
 
 4380 
 
 4461 
 
 4541 
 
 4621 
 
 4701 
 
 4781 
 
 4862 
 
 4942 
 
 5022 
 
 5102 
 
 
 
 14 
 
 5183 
 
 5263 
 
 5343 
 
 5423 
 
 5503 
 
 5584 
 
 5664 
 
 5744 
 
 5824 
 
 5904 
 
 
 
 15 
 
 5985 
 
 6065 
 
 6145 
 
 6225 
 
 6305 
 
 6386 
 
 6466 
 
 6546 
 
 6626 
 
 6706 
 
 
 
 16 
 
 6787 
 
 6867 
 
 6947 
 
 7027 
 
 7107 
 
 7187 
 
 7268 
 
 734-8 
 
 7428 
 
 7508 
 
 
 
 17 
 
 7588 
 
 7669 
 
 7749 
 
 7829 
 
 7909 
 
 7989 
 
 8069 
 
 8150 
 
 8230 
 
 8310 
 
 
 
 18 
 
 8390 
 
 8470 
 
 8550 
 
 8630 
 
 8711 
 
 8791 
 
 8871 
 
 8951 
 
 9031- 
 
 9111 
 
 
 
 19 
 
 9192 
 
 9272 
 
 9352 
 
 9432 
 
 9512 
 
 9592 
 
 9672 
 
 9752 
 
 9833 
 
 9913 
 
 
 
 5420 
 
 9993 
 
 0073 
 
 0153 
 
 0233 
 
 0313 
 
 0393 
 
 0474 
 
 0554 
 
 0634 
 
 0714 
 
 
 
 21 
 
 7340794 
 
 0874 
 
 0954 
 
 1034 
 
 1115 
 
 1195 
 
 1275 
 
 1355 
 
 1435 
 
 1515 
 
 
 
 22 
 
 1595 
 
 1675 
 
 1755 
 
 1835 
 
 1916 
 
 1996 
 
 2076 
 
 2156 
 
 2236 
 
 2316 
 
 
 
 23 
 
 2396 
 
 2476 
 
 2556 
 
 2636 
 
 2716 
 
 2796 
 
 2877 
 
 2957 
 
 3037 
 
 3117 
 
 
 
 24 
 
 . 3197 
 
 3277 
 
 3357 
 
 3437 
 
 3517 
 
 3597 
 
 3677 
 
 3757 
 
 3837 
 
 3917 
 
 
 
 25 
 
 3997 
 
 4077 
 
 4158 
 
 4238 
 
 4318 
 
 4398 
 
 4478 
 
 4558 
 
 4638 
 
 4718 
 
 
 
 26 
 
 4798 
 
 4878 
 
 4958 
 
 5038 
 
 5118 
 
 5198 
 
 5278 
 
 5358 
 
 5438 
 
 5518 
 
 
 
 27 
 
 > 5598 
 
 5678 
 
 5758 
 
 5838 
 
 5918 
 
 5998 
 
 6078 
 
 6158 
 
 6238 
 
 6318 
 
 
 
 28 
 
 6398 
 
 6478 
 
 6558 
 
 6638 
 
 6718 
 
 6798 
 
 6878 
 
 6958 
 
 7038 
 
 7118 
 
 80 
 
 
 29 
 
 7198 
 
 7278 
 
 7358 
 
 7438 
 
 7518 
 
 7598 
 
 7678 
 
 7758 
 
 7838 
 
 7918 
 
 
 
 543», 
 
 ;.^ 7998 
 
 8078 
 
 8158 
 
 8238 
 
 8318 
 
 8398 
 
 8478 
 
 8558 
 
 8638 
 
 8718 
 
 
 
 31 
 
 8798 
 
 8878 
 
 8958 
 
 9038 
 
 9118 
 
 9198 
 
 9278 
 
 9358 
 
 9438 
 
 9518 
 
 
 
 32 
 
 9598 
 
 9678 
 
 9758 
 
 9837- 
 
 9917 
 
 9997 
 
 0077 
 
 0157 
 
 0237 
 
 0317 
 
 
 
 33 
 
 7350397 
 
 0477 
 
 0557 
 
 0637 
 
 0717 
 
 0797 
 
 0877 
 
 0957 
 
 1036 
 
 1116 
 
 
 
 34 
 
 1196 
 
 1276 
 
 1356 
 
 1436 
 
 1516 
 
 1596 
 
 1676 
 
 1756 
 
 1836 
 
 1916 
 
 
 
 3^ 
 
 ^ 1995 
 
 2075 
 
 2155 
 
 2235 
 
 2315 
 
 2395 
 
 2475 
 
 2555 
 
 2635 
 
 2715 
 
 
 
 2794 
 
 2874 
 
 2954 
 
 3034 
 
 3114 
 
 3 1 9 ^ 
 
 3274 
 
 33,34 
 
 3434 
 
 3513 
 
 
 
 37 
 
 3593 
 
 3673 
 
 3753 
 
 3833 
 
 3913 
 
 3993 
 
 4073 
 
 4152 
 
 4232 
 
 4312 
 
 
 
 38 
 
 4392 
 
 41-72 
 
 4.552 
 
 4632 
 
 4711 
 
 4791 
 
 487 1 
 
 4951 
 
 5031 
 
 5111 
 
 
 
 39 
 
 5191 
 
 5270 
 
 5350 
 
 5430 
 
 5510 
 
 5590 
 
 5670 
 
 5749 
 
 5829 
 
 5909 
 
 
 
 5440 
 
 5989 
 
 6069 
 
 6149 
 
 6228 
 
 6308 
 
 6388 
 
 6468 
 
 6548 
 
 6628 
 
 6707 
 
 
 
 41 
 
 6787 
 
 6867 
 
 694.7 
 
 7027 
 
 7107 
 
 7186 
 
 7266 
 
 7346 
 
 7426 
 
 7506 
 
 
 
 42 
 
 7585 
 
 7665 
 
 7745 
 
 V825 
 
 7905 
 
 7984 
 
 8064 
 
 8141. 
 
 8224 
 
 8304 
 
 
 80 
 
 43 
 
 8383 
 
 8463 
 
 ^543 
 
 8623 
 
 8702 
 
 8782 
 
 8862 
 
 8942 
 
 9022 
 
 9101 
 
 
 ^\l 
 
 44 
 
 9181 
 
 9261 
 
 9341^ 
 
 '9420 
 
 9500 
 
 9580 
 
 9660 
 
 9740 
 
 9819 
 
 9899 
 
 
 216 
 
 45 
 
 9979 
 
 0059 
 
 0138 
 
 0218 
 
 0298 
 
 0378 
 
 0457 
 
 0537 
 
 0617 
 
 0697 
 
 
 4 
 
 32 
 
 46 
 
 7360776 
 
 0856 
 
 0936 
 
 1016 
 
 1095 
 
 1175 
 
 1255 
 
 1335 
 
 1414 
 
 1494 
 
 
 5 
 
 40 
 
 47 
 
 1574 
 
 1653 
 
 1733 
 
 1813 
 
 1893 
 
 1972 
 
 2052 
 
 2132 
 
 2212 
 
 229-1 
 
 
 6 
 7 
 g 
 
 48 
 56 
 64 
 
 48 
 
 237 1 
 
 2451 
 
 2530 
 
 2610 
 
 2690 
 
 2770 
 
 2849 
 
 2929 
 
 3009 
 
 3088 
 
 
 49 
 
 3168 
 
 3248 
 1 
 
 3327 
 
 2 
 
 3407 
 
 3 
 
 3487 
 
 4 
 
 3567 
 5 
 
 3646 
 
 3726 
 7 
 
 3806 
 8 
 
 3885 
 
 9 
 
 D 
 
 9 
 
 72 
 
 N. 
 
 
 
 I 
 
 *ts. 
 
N. 54500 L.735 
 
 
 OF NUMBERS. 
 
 
 
 
 (95)\ 
 
 N. 
 
 5450 
 
 
 
 1 
 
 4045 
 
 2 
 
 4124 
 
 3 
 
 4204 
 
 4 
 
 4284 
 
 5 
 
 4363 
 
 6 
 
 4443 
 
 7 
 
 4523 
 
 8 
 
 4602 
 
 .9 
 
 4682 
 
 D 
 
 Pro. 
 
 7363965 
 
 51 
 
 4762 
 
 4841 
 
 4921 
 
 5001 
 
 5080 
 
 5160 
 
 5240 
 
 5319 
 
 5399 
 
 5479 
 
 
 80 
 
 52 
 
 5558 
 
 5638 
 
 5718 
 
 5797 
 
 5877 
 
 5957 
 
 6036 
 
 6116 
 
 6.196 
 
 6276 
 
 
 1 8 
 
 53 
 
 6355 
 
 6435 
 
 6514 
 
 6594 
 
 6671 
 
 6753 
 
 6833 
 
 6912 
 
 6992 
 
 7072 
 
 
 2 16 
 
 3 24 
 
 4 32 
 
 54 
 
 7151 
 
 7231 
 
 7311 
 
 7390 
 
 7470 
 
 7549 
 
 7629 
 
 7709 
 
 7788 
 
 7868 
 
 
 55 
 
 7948 
 
 8027 
 
 8107 
 
 8186 
 
 8266 
 
 8346 
 
 8425 
 
 8505 
 
 8584 
 
 8664 
 
 
 5 40 
 
 56 
 
 8744 
 
 8823 
 
 8903 
 
 8982 
 
 9062 
 
 9142 
 
 9221 
 
 9301 
 
 9380 
 
 9460 
 
 
 6 48 
 
 7 56 
 
 8 64 
 
 51 
 
 9540 
 
 9619 
 
 9699 
 
 9778 
 
 9858 
 
 9937 
 
 0017 
 
 0097 
 
 0176 
 
 0256 
 
 
 58 
 59 
 
 7370335 
 1131 
 
 0415 
 1210 
 
 0494 
 1290 
 
 0574 
 1370 
 
 0654 
 1449 
 
 0733 
 1529 
 
 0813 
 1608 
 
 0892 
 1688 
 
 0972 
 1767 
 
 1051 
 
 1847 
 
 
 9 72 
 
 
 5460 
 
 1926 
 
 2006 
 
 2086 
 
 2165 
 
 2245 
 
 2324 
 
 2404 
 
 2483 
 
 2563 
 
 2642 
 
 
 
 61 
 
 2722 
 
 2801 
 
 2881 
 
 2960 
 
 3040 
 
 3119 
 
 3199 
 
 3278 
 
 3358 
 
 3437 
 
 
 
 62 
 
 3517 
 
 3596 
 
 3676 
 
 3755 
 
 3835 
 
 3914 
 
 3994 
 
 4074 
 
 4153 
 
 4233 
 
 
 
 63 
 
 4312 
 
 4392 
 
 447 1 
 
 4550 
 
 4630 
 
 4709 
 
 4789 
 
 4868 
 
 4948 
 
 5027 
 
 
 
 64 
 
 5107 
 
 5186 
 
 5266 
 
 5345 
 
 5425 
 
 5504 
 
 5584 
 
 5663 
 
 5743 
 
 5822 
 
 
 
 Q5 
 
 5902 
 
 5981 
 
 6061 
 
 6140 
 
 6220 
 
 6299 
 
 6378 
 
 6458 
 
 6537 
 
 6617 
 
 
 
 QQ 
 
 6696 
 
 6776 
 
 6855 
 
 6935 
 
 7014 
 
 7094< 
 
 7173 
 
 7252 
 
 7332 
 
 7411 
 
 
 
 67 
 
 7491 
 
 7570 
 
 7650 
 
 7729 
 
 7808 
 
 7888 
 
 7967 
 
 8047 
 
 8126 
 
 8206 
 
 
 
 68 
 
 8285 
 
 8364 
 
 8444 
 
 8523 
 
 8603 
 
 8682 
 
 8762 
 
 8841 
 
 8920 
 
 9000 
 
 
 
 69 
 
 9079 
 
 9159 
 
 9238 
 
 9317 
 
 9397 
 
 9476 
 
 9556 
 
 9635 
 
 9714 
 
 9794 
 
 
 
 5470 
 
 9873 
 
 9953 
 
 0032 
 
 0111 
 
 0191 
 
 0270 
 
 0350 
 
 0429 
 
 0508 
 
 0588 
 
 
 
 71 
 
 7380667 
 
 0747 
 
 0826 
 
 0905 
 
 0985 
 
 1064 
 
 1143 
 
 1223 
 
 1302 
 
 1382 
 
 
 
 72 
 
 1461 
 
 1540 
 
 1620 
 
 1699 
 
 1778 
 
 1858 
 
 1937 
 
 2016 
 
 2096 
 
 2175 
 
 
 
 73 
 
 2254 
 
 2334 
 
 2413 
 
 2493 
 
 2572 
 
 2651 
 
 2731 
 
 2810 
 
 2889 
 
 2969 
 
 
 
 74 
 
 3048 
 
 3127 
 
 3207 
 
 3286 
 
 3365 
 
 3445 
 
 3524 
 
 3603 
 
 3683 
 
 3762 
 
 
 
 75 
 
 3841 
 
 3921 
 
 4000 
 
 4079 
 
 4159 
 
 4238 
 
 4317 
 
 4396 
 
 4476 
 
 4555 
 
 
 
 76 
 
 4634 
 
 4714 
 
 4793 
 
 4872 
 
 4952 
 
 5031 
 
 5110 
 
 5190 
 
 5269 
 
 5348 
 
 
 
 77 
 
 5427 
 
 5507 
 
 5586 
 
 5665 
 
 5745 
 
 5824 
 
 5903 
 
 5982 
 
 6062 
 
 6141 
 
 
 
 78 
 
 6220 
 
 6300 
 
 6379 
 
 6458 
 
 6537 
 
 6617 
 
 6696 
 
 6775 
 
 6854 
 
 6934 
 
 
 
 79 
 
 7013 
 
 7092 
 
 7172 
 
 7251 
 
 7330 
 
 7409 
 
 7489 
 
 7568 
 
 7647 
 
 7726 
 
 
 
 5480 
 
 7806 
 
 7885 
 
 7964 
 
 8043 
 
 8123 
 
 8202 
 
 8281 
 
 8360 
 
 8440 
 
 8519 
 
 
 
 81 
 
 8598 
 
 8677 
 
 8756 
 
 8836 
 
 8915 
 
 8994 
 
 9073 
 
 9153 
 
 9232 
 
 9311 
 
 
 
 82 
 
 9390 
 
 9470 
 
 9549 
 
 9628 
 
 9707 
 
 9786 
 
 9866 
 
 9945 
 
 0024 
 
 0103 
 
 
 
 83 
 
 7390182 
 
 0262 
 
 0341 
 
 0420 
 
 0499 
 
 0578 
 
 0658 
 
 0737 
 
 0816 
 
 0895 
 
 
 
 84 
 
 0974 
 
 1054 
 
 1133 
 
 1212 
 
 1291 
 
 1370 
 
 1450 
 
 1529 
 
 1608 
 
 1687 
 
 
 
 85 
 
 1766 
 
 1845 
 
 1925 
 
 2004 
 
 2083 
 
 2162 
 
 2241 
 
 2321 
 
 2400 
 
 2479 
 
 
 
 86 
 
 2558 
 
 2637 
 
 2716 
 
 2796 
 
 2875 
 
 295'^ 
 
 ^5033 
 
 3112 
 
 3191 
 
 3270 
 
 
 
 87 
 
 3350 
 
 3429 
 
 350^ 
 
 3587 
 
 3666 
 
 3745 
 
 3824 
 
 3904 
 
 3983 
 
 4062 
 
 
 
 88 
 
 4141 
 
 4220 
 
 4299 
 
 4378 
 
 4458 
 
 4537 
 
 4616 
 
 4695 
 
 4774 
 
 4853 
 
 
 
 89 
 
 4932 
 
 5011 
 
 5091 
 
 5170 
 
 5249 
 
 5328 
 
 5407 
 
 5486 
 
 5565 
 
 5644 
 
 
 
 5490 
 
 5723 
 
 5803 
 
 5882 
 
 5961 
 
 6040 
 
 6119 
 
 6198 
 
 6277 
 
 6356 
 
 6435 
 
 
 
 91 
 
 6514 
 
 6594 
 
 6673 
 
 6752 
 
 6831 
 
 6910 
 
 6989 
 
 7068 
 
 7147 
 
 7226 
 
 
 
 92 
 
 7305 
 
 7384 
 
 7463 
 
 7543 
 
 7622 
 
 7701 
 
 7780 
 
 7859 
 
 7938 
 
 8017 
 
 
 79 
 
 93 
 
 8096 
 
 8175 
 
 8254 
 
 8333 
 
 8412 
 
 8491 
 
 8570 
 
 8649 
 
 8728 
 
 8808 
 
 
 1 8 
 
 94 
 
 8887 
 
 8966 
 
 9045 
 
 9124 
 
 9203 
 
 9282 
 
 9361 
 
 9440 
 
 9519 
 
 9598 
 
 
 2 16 
 
 3 24 
 
 95 
 
 9677 
 
 9756 
 
 9835 
 
 9914 
 
 9993 
 
 0072 
 
 0151 
 
 0230 
 
 0309 
 
 0388 
 
 
 4 32 
 
 96 
 
 7400467 
 
 0546 
 
 0625 
 
 0704 
 
 0783 
 
 0862 
 
 0941 
 
 1020 
 
 1099 
 
 1178 
 
 79 
 
 5 40 
 
 97 
 
 1257 
 
 1336 
 
 1415 
 
 1494 
 
 1573 
 
 1652 
 
 1731 
 
 1810 
 
 1889 
 
 1968 
 
 
 6 47 
 
 7 55 
 
 8 63 
 
 98 
 
 2047 
 
 2126 
 
 2205 
 
 2284 
 
 2363 
 
 2442 
 
 2521 
 
 2600 
 
 2679 
 
 2758 
 
 
 99 
 
 N. 
 
 2837 
 
 2916 
 
 r 
 
 2995 
 2 
 
 3074 
 
 3 
 
 3153 
 
 4 
 
 3232 
 
 5 
 
 3311 
 
 6 
 
 3390 
 
 3469 
 
 8 
 
 3548 
 
 9 
 
 D 
 
 9 71 
 Pts. 
 
 
 
(96) 
 
 LOGARITHMS N. 55000 L. 740 
 
 N. 
 
 5500 
 
 
 
 1 
 
 3706 
 
 2 
 
 3 
 
 3864 
 
 4 
 
 3943 
 
 5 
 
 6 
 
 4101 
 
 7 
 
 4180 
 
 8 
 4259 
 
 9 
 
 4338 
 
 D 
 
 Pro. 
 
 7403627 
 
 3785 
 
 4022 
 
 01 
 
 4416 
 
 4495 
 
 4574 
 
 4653 
 
 4732 
 
 4811 
 
 4890 
 
 4969 
 
 5048 
 
 5127 
 
 
 79 
 
 02 
 
 5206 
 
 5285 
 
 5364 
 
 5443 
 
 5522 
 
 5601 
 
 5679 
 
 5758 
 
 5837 
 
 5916 
 
 
 1 8 
 
 03 
 
 5995 
 
 6074 
 
 6153 
 
 6232 
 
 6311 
 
 6390 
 
 6469 
 
 6548 
 
 6626 
 
 6705 
 
 
 2 16 
 
 04 
 
 6784 
 
 6863 
 
 6942 
 
 7021 
 
 7100 
 
 7179 
 
 7258 
 
 7337 
 
 7415 
 
 7494 
 
 
 3 24 
 
 4 32 
 
 05 
 
 7573 
 
 7652 
 
 7731 
 
 7810 
 
 7889 
 
 7968 
 
 8047 
 
 8125 
 
 8204 
 
 8283 
 
 
 5 40 
 
 06 
 
 8362 
 
 8441 
 
 8520 
 
 8599 
 
 8678 
 
 8756 
 
 8835 
 
 8914 
 
 8993 
 
 9072 
 
 
 6 47 
 
 7 55 
 
 8 63 
 
 9 71 
 
 07 
 
 9151 
 
 9230 
 
 9308 
 
 9387 
 
 9466 
 
 9545 
 
 9624 
 
 9703 
 
 9782 
 
 9860 
 
 
 08 
 
 9939 
 
 0018 
 
 0097 
 
 0176 
 
 0255 
 
 0334 
 
 0412 
 
 0491 
 
 0570 
 
 0649 
 
 
 09 
 
 7410728 
 
 0807 
 
 0885 
 
 0964 
 
 1043 
 
 1122 
 
 1201 
 
 1280 
 
 1358 
 
 1437 
 
 
 
 5510 
 
 1516 
 
 1595 
 
 1674 
 
 1752 
 
 1831 
 
 1910 
 
 1989 
 
 2068 
 
 2146 
 
 2225 
 
 
 
 11 
 
 2304 
 
 2383 
 
 2462 
 
 2541 
 
 2619 
 
 2698 
 
 2777 
 
 2856 
 
 2935 
 
 3013 
 
 
 
 12 
 
 3092 
 
 ^171 
 
 3250 
 
 3328 
 
 3407 
 
 3486 
 
 3565 
 
 3644 
 
 3722 
 
 3801 
 
 
 
 13 
 
 3880 
 
 3959 
 
 4037 
 
 4116 
 
 4195 
 
 4274 
 
 4353 
 
 4431 
 
 4510 
 
 4589 
 
 
 
 14 
 
 4668 
 
 4746 
 
 4825 
 
 4904 
 
 4983 
 
 5061 
 
 5140 
 
 5219 
 
 5298 
 
 5376 
 
 
 
 15 
 
 5455 
 
 5534 
 
 5613 
 
 5691 
 
 5770 
 
 5849 
 
 5928 
 
 6006 
 
 6085 
 
 6164 
 
 
 
 16 
 
 6243 
 
 6321 
 
 6400 
 
 6479 
 
 6557 
 
 6636 
 
 6715 
 
 6794 
 
 6872 
 
 6951 
 
 
 
 17 
 
 7030 
 
 7109 
 
 7187 
 
 7266 
 
 7345 
 
 7423 
 
 7502 
 
 7581 
 
 7660 
 
 7738 
 
 
 
 18 
 
 7817 
 
 7896 
 
 7974 
 
 8053 
 
 8132 
 
 8210 
 
 8289 
 
 8368 
 
 8447 
 
 8525 
 
 
 
 19 
 
 8604 
 
 8683 
 
 8761 
 
 8840 
 
 8919 
 
 8997 
 
 9076 
 
 9155 
 
 9233 
 
 9312 
 
 
 
 5520 
 
 9391 
 
 9469 
 
 9548 
 
 9627 
 
 9705 
 
 9784 
 
 9863 
 
 9941 
 
 0020 
 
 0099 
 
 
 
 21 
 
 7420177 
 
 0256 
 
 0335 
 
 0413 
 
 0492 
 
 0571 
 
 0649 
 
 0728 
 
 0807 
 
 0885 
 
 
 
 22 
 
 0964 
 
 1043 
 
 1121 
 
 1200 
 
 1279 
 
 1357 
 
 1436 
 
 1515 
 
 1593 
 
 1672 
 
 
 
 23 
 
 1750 
 
 1829 
 
 1908 
 
 1986 
 
 2065 
 
 2144 
 
 2222 
 
 2301 
 
 2379 
 
 2458 
 
 
 
 24 
 
 2537 
 
 2615 
 
 2694 
 
 2773 
 
 285 1 
 
 2930 
 
 3008 
 
 3087 
 
 3166 
 
 3244 
 
 
 
 25 
 
 3323 
 
 3401 
 
 3480 
 
 3559 
 
 3637 
 
 3713 
 
 3794 
 
 3873 
 
 3952 
 
 4030 
 
 
 
 26 
 
 4109 
 
 4187 
 
 4266 
 
 4345 
 
 4423 
 
 4502 
 
 4580 
 
 4659 
 
 4737 
 
 4816 
 
 
 
 27 
 
 4895 
 
 4973 
 
 5052 
 
 5130 
 
 5209 
 
 5288 
 
 5366 
 
 5445 
 
 5523 
 
 5602 
 
 
 
 28 
 
 5680 
 
 57.59 
 
 5837 
 
 5916 
 
 5995 
 
 6073 
 
 6152 
 
 6230 
 
 6309 
 
 6387 
 
 
 
 29 
 
 6466 
 
 6544 
 
 6623 
 
 6702 
 
 6780 
 
 6859 
 
 6937 
 
 7016 
 
 7094 
 
 7173 
 
 
 
 5530 
 
 7251 
 
 7330 
 
 7408 
 
 7487 
 
 7565 
 
 7644 
 
 7722 
 
 7801 
 
 7880 
 
 7958 
 
 
 
 31 
 
 8037 
 
 8115 
 
 8194 
 
 8272 
 
 8351 
 
 8429 
 
 8508 
 
 8586 
 
 8665 
 
 8743 
 
 
 
 32 
 
 8822 
 
 8900 
 
 8979 
 
 9057 
 
 9136 
 
 9214 
 
 9293 
 
 9371 
 
 9450 
 
 9528 
 
 
 
 33 
 
 9607 
 
 9685 
 
 9764 
 
 9842 
 
 9921 
 
 9999 
 
 0078 
 
 0156 
 
 0235 
 
 0313 
 
 
 
 34 
 
 7430392 
 
 0470 
 
 0549 
 
 0627 
 
 0705 
 
 0784 
 
 0862 
 
 0941 
 
 1019 
 
 1098 
 
 
 
 35 
 
 1176 
 
 1255 
 
 1333 
 
 1412 
 
 1490 
 
 1569 
 
 1647 
 
 1725 
 
 1804 
 
 1882 
 
 
 
 36 
 
 1961 
 
 2039 
 
 2118 
 
 2196 
 
 2275 
 
 2353 
 
 2431 
 
 2510 
 
 2588 
 
 2667 
 
 
 
 37 
 
 2745 
 
 2824 
 
 2902 
 
 2981 
 
 3059 
 
 3137 
 
 3216 
 
 3294 
 
 3373 
 
 3451 
 
 
 
 38 
 
 3530 
 
 3608 
 
 3686 
 
 3765 
 
 3843 
 
 3922 
 
 4000 
 
 4078 
 
 4157 
 
 4235 
 
 
 
 39 
 
 4314 
 
 4392 
 
 4470 
 
 4549 
 
 4627 
 
 4706 
 
 4784 
 
 4862 
 
 4941 
 
 5019 
 
 
 
 5540 
 
 5098 
 
 5176 
 
 5254 
 
 5333 
 
 5411 
 
 5490 
 
 5568 
 
 5646 
 
 5725 
 
 5803 
 
 
 
 41 
 
 5882 
 
 5960 
 
 6038 
 
 6117 
 
 6195 
 
 6273 
 
 6352 
 
 6430 
 
 6508 
 
 6587 
 
 
 
 42 
 
 6665 
 
 6744 
 
 6822 
 
 6900 
 
 6979 
 
 7057 
 
 7135 
 
 7214 
 
 7292 
 
 7370 
 
 
 78 
 
 43 
 
 7449 
 
 7527 
 
 7605 
 
 7684 
 
 7762 
 
 7841 
 
 7919 
 
 7997 
 
 8076 
 
 8154 
 
 
 1 8 
 
 44 
 
 8232 
 
 8311 
 
 8389 
 
 8467 
 
 8546 
 
 8624 
 
 8702 
 
 8781 
 
 8859 
 
 8937 
 
 
 2 16 
 
 45 
 
 9016 
 
 9094 
 
 9172 
 
 9250 
 
 9329 
 
 9407 
 
 9485 
 
 9564 
 
 9642 
 
 9720 
 
 
 3 23 
 
 4 31 
 
 46 
 
 9799 
 
 9877 
 
 9955 
 
 0034 
 
 0112 
 
 0190 
 
 0268 
 
 0347 
 
 0425 
 
 0503 
 
 
 5 39 
 
 47 
 
 7440582 
 
 0660 
 
 0738 
 
 0817 
 
 0895 
 
 0973 
 
 1051 
 
 1130 
 
 1208 
 
 1286 
 
 
 6 47 
 
 48 
 
 1365 I443| 
 
 1521 
 
 1599 
 
 1678 
 
 1756 
 
 1834 
 
 1912 
 
 1991 
 
 2069 
 
 
 7 55 
 
 B62 
 f)70 
 
 49 
 
 N. 
 
 2147 
 
 2226 2304 1 
 
 2382 2460|j 
 
 2539 
 5 
 
 2617 
 
 6 
 
 2695 
 7 
 
 2773 
 
 8 
 
 2852 
 
 .9 i 
 
 
 
 
 1 
 
 2 1 
 
 3 
 
 4 II 
 
 d|i 
 
 ^ts. 
 
N. 55500 L. 744 of numbers. (97)| 
 
 N. 
 
 
 
 1 
 
 2- 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 I) Pro. 
 
 555C 
 
 > 744293C 
 
 > 3008 
 
 3O80 
 
 3165 
 
 3243 
 
 3321 
 
 3399 
 
 3478 
 
 355e 
 
 > 3634 
 
 
 51 
 
 37 IS 
 
 > 3791 
 
 386,9 
 
 3947 
 
 4025 
 
 4103 
 
 4182 
 
 ' 4260 
 
 4338 
 
 4410 
 
 78 
 
 52 
 
 4495 
 
 4573 
 
 4651 
 
 47 2g 
 
 4807 
 
 488e 
 
 496-1 
 
 r 5042 
 
 512C 
 
 ) 5199 
 
 1 8 
 
 53 
 
 5277 
 
 5355 
 
 5433 
 
 5511 
 
 5590 
 
 5668 
 
 57 4e 
 
 ► 5824 
 
 5902 5981 
 
 216 
 
 54 
 
 6059 
 
 6137 
 
 6215 
 
 6293 
 
 6372 
 
 645C 
 
 652c 
 
 660(j 
 
 6684 676'^ 
 
 3 23 
 431 
 
 55 
 
 6841 
 
 6919 
 
 6997 
 
 7075 
 
 7153 
 
 7232 
 
 731C 
 
 7388 
 
 7466 
 
 7544 
 
 5 39 
 
 56 
 
 7622 
 
 7701 
 
 7779 
 
 7857 
 
 7935 
 
 8013 
 
 8091 
 
 8170 
 
 8248 
 
 8326 
 
 647 
 
 7 55 
 
 8 62 
 
 57 
 
 8404 
 
 8482 
 
 8560 
 
 8638 
 
 8717 
 
 8795 
 
 8873 
 
 8951 
 
 90^9 
 
 9107 
 
 58 
 
 9185 
 
 9264 
 
 9342 
 
 9420 
 
 9498 
 
 9576 
 
 9654 
 
 9732 
 
 9810 
 
 9889 
 
 9 70 
 
 59 
 
 9967 
 
 0045 
 
 0123 
 
 0201 
 
 0279 
 
 0357 
 
 0435 
 
 0514 
 
 0592 
 
 0670 
 
 
 5560 
 
 7450748 
 
 0826 
 
 0904 
 
 0982 
 
 1060 
 
 1138 
 
 1217 
 
 1295 
 
 1373 
 
 1451 
 
 
 61 
 
 1529 
 
 1607 
 
 1685 
 
 1763 
 
 1841 
 
 1919 
 
 1998 
 
 2076 
 
 2154 
 
 2232 
 
 
 62 
 
 2310 
 
 2388 
 
 2466 
 
 2544 
 
 2622 
 
 2700 
 
 2778 
 
 2856 
 
 2934 
 
 3013 
 
 
 63 
 
 3091 
 
 3169 
 
 3247 
 
 3325 
 
 3403 
 
 3481 
 
 3559 
 
 3637 
 
 3715 
 
 3793 
 
 
 64 
 
 3871 
 
 3949 
 
 4027 
 
 4105 
 
 4183 
 
 4261 
 
 4340 
 
 4418 
 
 4496 
 
 4574 
 
 
 65 
 
 4652 
 
 4730 
 
 4808 
 
 4886 
 
 4964 
 
 5042 
 
 5120 
 
 5198 
 
 5276 
 
 5354 
 
 
 66 
 
 5432 
 
 5510 
 
 5588 
 
 5666 
 
 5744 
 
 5822 
 
 5900 
 
 5978 
 
 6056 
 
 6134 
 
 78 
 
 67 
 
 6212 
 
 6290 
 
 6368 
 
 6446 
 
 6524 
 
 6602 
 
 6680 
 
 6758 
 
 6836 
 
 6914 
 
 
 68 
 
 6992 
 
 7070 
 
 7148 
 
 7226 
 
 7304 
 
 7382 
 
 7460 
 
 7538 
 
 7616 
 
 7694 
 
 
 69 
 
 7772 
 
 7850 
 
 7928 
 
 8006 
 
 8084 
 
 8162 
 
 8240 
 
 8318 
 
 8396 
 
 8474 
 
 
 5570 
 
 8552 
 
 .8630 
 
 8708 
 
 8786 
 
 8864 
 
 8942 
 
 9020 
 
 9098 
 
 9176 
 
 9254 
 
 .- 
 
 71 
 
 9332 
 
 9410 
 
 9487 
 
 9565 
 
 9643 
 
 9721 
 
 9799 
 
 9877 
 
 9955 
 
 0033 
 
 
 r2 
 
 7460111 
 
 0189 
 
 0267 
 
 0345 
 
 0423 
 
 0501 
 
 0579 
 
 0657 
 
 0735 
 
 0813 
 
 
 73 
 
 0890 
 
 0968 
 
 1046 
 
 1124 
 
 1202 
 
 1280 
 
 1358 
 
 1436 
 
 1514 
 
 1592 
 
 
 74 
 
 1670 
 
 1748 
 
 1825 
 
 1903 
 
 1981 
 
 2059 
 
 2137 
 
 2215 
 
 2293 
 
 2371 
 
 
 75 
 
 2449 
 
 2527 
 
 2605 
 
 2682 
 
 2760 
 
 2838 
 
 2916 
 
 2994 
 
 3072 
 
 3150 
 
 
 76 
 
 3228 
 
 3306 
 
 3383 
 
 3461 
 
 3539 
 
 3617 
 
 3695 
 
 3773 
 
 3851 
 
 3929 
 
 
 77 
 
 4006 
 
 4084 
 
 4162 
 
 4240 
 
 4318 
 
 4396 
 
 4474 
 
 4552 
 
 4629 
 
 4707 
 
 
 78 
 
 4785 
 
 4863 
 
 4941 
 
 5019 
 
 5097 
 
 5174 
 
 5252 
 
 5330 
 
 5408 
 
 5486 
 
 79 
 
 5564 
 
 5641 
 
 5719 
 
 5797 
 
 5875 
 
 5953 
 
 6031 
 
 6108 
 
 6186 
 
 6264 
 
 
 5580 
 
 6342 
 
 6420 
 
 6498 
 
 6575 
 
 6653 
 
 6731 
 
 6809 
 
 6887 
 
 6965 
 
 7042 
 
 
 81 
 
 7120 
 
 7198 
 
 7276 
 
 7354 
 
 7431 
 
 7509 
 
 7587 
 
 7665 
 
 7743 
 
 7821 
 
 
 82 
 
 7898 
 
 7976 
 
 8054 
 
 8132 
 
 8210 
 
 8287 
 
 8365 
 
 8443 
 
 8521 
 
 8598 
 
 
 83 
 
 8676 
 
 8754 
 
 8832 
 
 8910 
 
 8987 
 
 9065 
 
 9143 
 
 9221 
 
 9299 
 
 9376 
 
 
 84 
 
 9454 
 
 9532 
 
 9610 
 
 9687 
 
 9765 
 
 9843 
 
 9921 
 
 9998 
 
 0076 
 
 0154 
 
 
 85 
 
 7470232 
 
 0310 
 
 0387 
 
 0465 
 
 0543 
 
 0621 
 
 0698 
 
 0776 
 
 0854 
 
 0932 
 
 
 86 
 
 1009 
 
 1087 
 
 1165 
 
 1243 
 
 1320 
 
 1398 
 
 1476 
 
 1554 
 
 1631 
 
 1709 
 
 
 87 
 
 1787 
 
 1864 
 
 1942 
 
 2020 
 
 2098 
 
 2175 
 
 2253 
 
 2331 
 
 2409 
 
 2486 
 
 
 88 
 
 2564 
 
 2642 
 
 2719 
 
 2797 
 
 2875 
 
 2953 
 
 3030 
 
 3108 
 
 3186 
 
 3263 
 
 
 89, 
 
 3341 
 
 3419 
 
 3497 
 
 3574 
 
 3652 
 
 3730 
 
 3807 
 
 3885 
 
 3963 
 
 i040 
 
 
 5590 
 
 4118 
 
 4196 
 
 4273 
 
 4351 
 
 4429 
 
 4507 
 
 4584 
 
 4662 
 
 4740- 
 
 1.817 
 
 
 91 
 
 4895 
 
 4973 
 
 5050 
 
 5128 
 
 5206 
 
 5283 
 
 5361 
 
 5439 
 
 5516. 
 
 5594 
 
 
 92 
 
 5672 
 
 5749 
 
 5827 
 
 5905 
 
 5982 
 
 6060 
 
 6138 
 
 6215 
 
 3293 ( 
 
 )371 
 
 77 
 
 93 
 
 6448 
 
 6526 66031 
 
 6681 
 
 6759 
 
 6836 
 
 6914 
 
 6992 ' 
 
 7069^ 
 
 ^47 
 
 1 8 
 
 94 
 
 7225 
 
 7302 
 
 7380 
 
 7458 
 
 7535 
 
 7613 
 
 7690 
 
 7768 ' 
 
 ^846 '3 
 
 ^923 
 
 2 15 1 
 
 3 23 
 
 95 
 
 8001 
 
 3079 
 
 8156 
 
 8234 
 
 ^311 
 
 8389 
 
 3467 
 
 8544 i 
 
 5622 8 
 
 1699 
 
 431 
 
 96 
 
 8777 
 
 8855 
 
 8932 
 
 9010 
 
 9087 
 
 9165 
 
 9243 
 
 9320 i 
 
 )398 £ 
 
 1475 
 
 5 39 
 
 97 
 
 9553 
 
 5631 
 
 3708 
 
 9786 
 
 )863 
 
 9941 ( 
 
 5019 ( 
 
 9096 ( 
 
 )174C 
 
 )251 
 
 6 46 
 
 III- 
 
 98 ' 
 
 r480329 ( 
 
 H07 ( 
 
 3484 ( 
 
 )562 ( 
 
 9639 
 
 0717 ( 
 
 9794 ( 
 
 9872 C 
 
 )950 1 
 
 027 
 
 99 
 
 1105 
 
 1182 
 1 J 
 
 1260 
 2 
 
 1337 
 
 3 
 
 1415 
 4 . 
 
 1492 
 
 5 
 
 1570 
 
 6 
 
 1648 1 
 
 725 1 
 
 803- 
 
 9 
 
 9 69 
 
 N. 
 
 
 
 7 
 
 8 
 
 20 
 
(98) 
 
 N. 
 
 5600 
 
 LOGARITHMS N. 56000 L. 748 
 
 
 
 1 
 1958 
 
 2 
 2035 
 
 3 
 
 2113 
 
 4 
 
 2190 
 
 5 
 
 2268 
 
 6 
 
 2346 
 
 7 
 
 2423 
 
 8 
 2501 
 
 9 1 
 
 2578 
 
 D 
 
 Pro. 
 
 7481880 
 
 01 
 
 2656 
 
 2733 
 
 2811 
 
 2888 
 
 2966 
 
 3043 
 
 3121 
 
 3198 
 
 3270 
 
 3354 
 
 
 78 
 
 02 
 
 3431 
 
 3509 
 
 3586 
 
 3664 
 
 3741 
 
 3819 
 
 3896 
 
 3974 
 
 4051 
 
 4129 
 
 
 1 
 
 8 
 
 03 
 
 4206 
 
 4284 
 
 4361 
 
 4439 
 
 4516 
 
 4594 
 
 4671 
 
 4749 
 
 4826 
 
 4904 
 
 
 2 
 3 
 4 
 
 16 
 23 
 31 
 
 04 
 
 4981 
 
 5059 
 
 5136 
 
 5214 
 
 5291 
 
 5369 
 
 5446 
 
 5524* 
 
 5601 
 
 5079 
 
 
 05 
 
 5756 
 
 5834 
 
 5911 
 
 5989 
 
 6066 
 
 6144 
 
 6221 
 
 6299 
 
 6376 
 
 6453 
 
 
 5 
 
 39 
 
 06 
 
 6531 
 
 6608 
 
 6686 
 
 6763 
 
 6841 
 
 6918 
 
 6996 
 
 7073 
 
 7151 
 
 7228 
 
 
 6 
 
 7 
 8 
 
 47 
 55 
 62 
 
 07 
 
 7306 
 
 7383 
 
 7460 
 
 7538 
 
 7615 
 
 7693 
 
 7770 
 
 7848 
 
 7925 
 
 8003 
 
 
 08 
 
 8080 
 
 8157 
 
 8235 
 
 8312 
 
 8390 
 
 8467 
 
 8545 
 
 8622 
 
 8700 
 
 8777 
 
 
 9 
 
 70 
 
 09 
 
 8854 
 
 8932 
 
 9009 
 
 9087 
 
 9164 
 
 9242 
 
 9319 
 
 9396 
 
 9474' 
 
 9551 
 
 
 
 5610 
 
 9629 
 
 9706 
 
 9783 
 
 9861 
 
 9938 
 
 0016 
 
 0093 
 
 0170 
 
 0248 
 
 0325 
 
 
 
 11 
 
 7490403 
 
 0480 
 
 0557 
 
 0635 
 
 0712 
 
 0790 
 
 0867 
 
 0944 
 
 1022 
 
 1099 
 
 
 
 12 
 
 1177 
 
 1254 
 
 1331 
 
 1409 
 
 1486 
 
 1564 
 
 1641 
 
 1718 
 
 1796 
 
 1873 
 
 
 
 13 
 
 1950 
 
 2028 
 
 2105 
 
 2183 
 
 2260 
 
 2337 
 
 2415 
 
 2492 
 
 2569 
 
 2647 
 
 
 
 14 
 
 2724 
 
 2801 
 
 2879 
 
 2956 
 
 3034 
 
 3111 
 
 3188 
 
 3266 
 
 3343 
 
 3420 
 
 
 
 15 
 
 3498 
 
 3575 
 
 3652 
 
 3730 
 
 3807 
 
 3884 
 
 3962 
 
 4039 
 
 4116 
 
 4194 
 
 
 
 16 
 
 4271 
 
 4348 
 
 4426 
 
 4503 
 
 4580 
 
 4658 
 
 4735 
 
 4812 
 
 4890 
 
 4967 
 
 
 
 17 
 
 5044 
 
 5122 
 
 5i99 
 
 5276 
 
 5353 
 
 5431 
 
 5508 
 
 5585 
 
 5663 
 
 5740 
 
 
 
 18 
 
 5817 
 
 5895 
 
 5972 
 
 6049 
 
 6127 
 
 6204 
 
 6281 
 
 6358 
 
 6436 
 
 6513 
 
 
 
 19 
 
 6590 
 
 6668 
 
 6745 
 
 6822 
 
 6899 
 
 6977 
 
 7054 
 
 7131 
 
 7209 
 
 7286 
 
 
 
 5620 
 
 7363 
 
 7440 
 
 7518 
 
 7595 
 
 7672 
 
 7750 
 
 7827 
 
 7904 
 
 7981 
 
 8059 
 
 
 
 21 
 
 8136 
 
 8213 
 
 8290 
 
 8368 
 
 8445 
 
 8522 
 
 8599 
 
 8677 
 
 8754 
 
 8831 
 
 
 
 22 
 
 8908 
 
 8986 
 
 9063 
 
 9140 
 
 9217 
 
 9295 
 
 9372 
 
 9449 
 
 9526 
 
 9604 
 
 
 
 23 
 
 9681 
 
 9758 
 
 9833 
 
 9913 
 
 9990 
 
 0067 
 
 0144 
 
 0221 
 
 0299 
 
 0376 
 
 
 
 24 
 
 7500453 
 
 0530 
 
 0608 
 
 0685 
 
 0762 
 
 0839 
 
 0916 
 
 0994 
 
 1071 
 
 1148 
 
 
 
 25 
 
 1225 
 
 1302 
 
 1380 
 
 1457 
 
 1534 
 
 1611 
 
 1688 
 
 1760 
 
 1843 
 
 1920 
 
 
 
 26 
 
 1997 
 
 2074 
 
 2152 
 
 2229 
 
 2306 
 
 2383 
 
 2460 
 
 2538 
 
 2615 
 
 2692 
 
 
 
 27 
 
 2769 
 
 2846 
 
 2924 
 
 3001 
 
 3078 
 
 3155 
 
 3232 
 
 3309 
 
 3387 
 
 3404 
 
 
 
 28 
 
 3541 
 
 3618 
 
 3695 
 
 3772 
 
 3850 
 
 3927 
 
 4004 
 
 4081 
 
 4158 
 
 4235 
 
 
 
 29 
 
 4312 
 
 4390 
 
 4467 
 
 4544 
 
 4021 
 
 4698 
 
 4775 
 
 4853 
 
 4930 
 
 5007 
 
 
 
 5630 
 
 5084 
 
 5161 
 
 5238 
 
 5315 
 
 5392 
 
 5470 
 
 5547 
 
 5624 
 
 5701 
 
 5778 
 
 
 
 31 
 
 5855 
 
 5932 
 
 6010 
 
 6087 
 
 6164 
 
 6241 
 
 6318 
 
 6395 
 
 6472 
 
 0549 
 
 
 
 32 
 
 6626 
 
 6704 
 
 6781 
 
 6858 
 
 6935 
 
 7012 
 
 7089 
 
 7160 
 
 7243 
 
 7320 
 
 
 
 33 
 
 7398 
 
 7475 
 
 7552 
 
 7629 
 
 7706 
 
 7783 
 
 7360 
 
 7937 
 
 8014 
 
 8091 
 
 
 
 34 
 
 8168 
 
 8246 
 
 8323 
 
 8400 
 
 8477 
 
 8554 
 
 8631 
 
 8708 
 
 8785 
 
 8802 
 
 
 
 35 
 
 8939 
 
 9016 
 
 9093 
 
 9170 
 
 9247 
 
 9325 
 
 9402 
 
 9479 
 
 9556 
 
 9033 
 
 
 
 36 
 
 9710 
 
 9787 
 
 9861- 
 
 9941 
 
 0018 
 
 0095 
 
 0172 
 
 0249 
 
 0326 
 
 0403 
 
 
 
 37 
 
 7510480 
 
 0557 
 
 0^34 
 
 0711 
 
 0789 
 
 0866 
 
 0943 
 
 1020 
 
 1097 
 
 1174 
 
 
 
 38 
 
 1251 
 
 1328 
 
 1405 
 
 1482 
 
 1559 
 
 1636 
 
 1713 
 
 1790 
 
 1867 
 
 1944 
 
 77 
 
 
 39 
 
 2021 
 
 2098 
 
 2175 
 
 2252 
 
 2329 
 
 2406 
 
 2483 
 
 2560 
 
 2637 
 
 2714 
 
 
 5640 
 
 2791 
 
 2868 
 
 2945 
 
 3022 
 
 3099 
 
 3176 
 
 3253 
 
 3330 
 
 3407 
 
 3484 
 
 
 
 41 
 
 3561 
 
 3638 
 
 ^115 
 
 3792 
 
 3869 
 
 3946 
 
 4023 
 
 4100 
 
 4177 
 
 4254 
 
 
 
 42 
 
 4331 
 
 4408 
 
 4485 
 
 4562 
 
 4639 
 
 4716 
 
 4793 
 
 4870 
 
 4947 
 
 a024 
 
 
 77 
 
 43 
 
 5101 
 
 5177 
 
 5254 
 
 5331 
 
 5408 
 
 5435 
 
 5562 
 
 5639 
 
 5716 
 
 5793 
 
 
 1 
 
 8 
 
 44 
 
 5870 
 
 5947 
 
 6024 
 
 6101 
 
 6178 
 
 6255 
 
 6332 
 
 6409 
 
 6486 
 
 6563 
 
 
 2 
 3 
 4 
 
 15 
 23 
 31 
 
 45 
 
 6639 
 
 6716 
 
 6793 
 
 6870 
 
 6947 
 
 7024 
 
 7101 
 
 7178 
 
 7255 
 
 7332 
 
 . 
 
 46 
 
 7409 
 
 7486 
 
 7563 
 
 7639 
 
 7716 
 
 7793 
 
 7870 
 
 7947 
 
 8024. 
 
 8101 
 
 
 5 
 
 39^ 
 
 47 
 
 817S 
 
 8255 
 
 8332 
 
 8409 
 
 8485 
 
 8562 
 
 8639 
 
 8716 
 
 8793 
 
 8870 
 
 
 6 
 
 46 
 
 %48 
 
 8947 
 
 9024 
 
 9101 
 
 9178 
 
 9254 
 
 9331 
 
 9408 
 
 9485 
 
 9562 
 
 9639 
 
 
 7 
 8 
 9 
 
 54 
 62 
 69_ 
 
 49 
 N. 
 
 9716 
 
 9793 
 1 
 
 9870 
 2 
 
 9946 
 ~3~ 
 
 t5023 
 -4 
 
 0100 
 5 
 
 0177 
 
 "6" 
 
 0254 
 7 
 
 0331 
 8 
 
 0408 
 
 9 
 
 D 
 
 
 
 P 
 
 ts. 
 
N. 56500 L.752 
 
 OF NUMBERS. 
 
 (99) 
 
 I\'. 
 
 5650 
 51 
 52 
 53 
 54 
 
 55 
 56 
 51 
 
 58 
 59 
 
 5660 
 61 
 62 
 63 
 64 
 
 65 
 66 
 67 
 68 
 69 
 5670 
 71 
 72 
 73 
 74 
 
 75 
 76 
 77 
 78 
 79 
 
 5680 
 81 
 82 
 
 84' 
 
 85 
 86 
 87 
 88 
 89 
 5690 
 91 
 92 
 93 
 94 
 
 95 
 96 
 97 
 
 98 
 99 
 
 N. 
 
 
 
 7520484 
 1253 
 2022 
 2790 
 3558 
 
 4326 
 5094 
 5862 
 6629 
 7397 
 
 8164 
 8932 
 9699 
 7530466 
 1232 
 
 1999 
 2766 
 3532 
 4298 
 5065 
 
 5831" 
 6596 
 7362 
 8128 
 8893 
 
 9659 
 7540424 
 1189 
 1954 
 2719 
 
 3483 
 4248 
 5012 
 5777 
 6541 
 
 7305 
 8069 
 8832 
 9596 
 7550359 
 
 1123 
 
 1886 
 2649 
 3412 
 4175 
 
 4937 
 5700 
 6462 
 7224 
 7987 
 
 "o 
 
 0561 
 1330 
 2098 
 2867 
 3635 
 
 4403 
 5171 
 5939 
 6706 
 7474 
 
 8241 
 9008 
 9775 
 0542 
 1309 
 
 2076 
 2842 
 3609 
 4375 
 5141 
 
 5907 
 6673 
 7439 
 8204 
 8970 
 
 9735 
 0500 
 1265 
 2030 
 2795 
 
 3560 
 4324 
 5089 
 5853 
 6617 
 
 7381 
 8145 
 8909 
 9672 
 0436 
 
 1199 
 1962 
 2725 
 3488 
 4251 
 
 5014 
 5776 
 6538 
 7301 
 8063 
 
 Q 
 
 0638 
 1407 
 2175 
 2944 
 3712 
 
 4480 
 5248 
 6015 
 6783 
 7550 
 
 8318 
 9085 
 9852 
 0619 
 1386 
 
 2152 
 2919 
 3685 
 '4452 
 5218 
 
 5984 
 6750 
 7515 
 8281 
 9046 
 
 9812 
 0577 
 1342 
 2107 
 2S72 
 
 3636 
 4401 
 5165 
 5929 
 6694 
 
 7457 
 8221 
 8985 
 9749 
 0512 
 
 1275 
 2038 
 2802 
 3564 
 4327 
 
 5090 
 5852 
 6615 
 7377 
 8139 
 
 0715 
 1484 
 2252 
 3020 
 
 3788 
 
 4556 
 5324 
 6092 
 6860 
 
 7627 
 
 8394 
 9162 
 9929 
 0696 
 1462 
 
 2229 
 2996 
 3762 
 4528 
 5294 
 
 6060 
 6826 
 7592 
 8357 
 9123 
 
 9888 
 0653 
 1418 
 2183 
 2948 
 
 3713 
 1-477 
 5242 
 6006 
 6770 
 
 7534 
 8298 
 9061 
 9825 
 0588 
 
 1352 
 2115 
 2878 
 3641 
 4403 
 5166 
 5929 
 6691 
 7453 
 8215 
 
 0792 
 1560 
 2329 
 3097 
 3865 
 
 4633 
 5401 
 6169 
 6936 
 7704 
 
 8471 
 9238 
 0005 
 0772 
 1539 
 2306 
 3072 
 3839 
 4605 
 5371 
 
 6137 
 6903 
 7668 
 8434 
 9199 
 
 9965 
 0730 
 1495 
 2260 
 3025 
 
 3789 
 4554 
 5318 
 6082 
 6846 
 
 7610 
 8374 
 9138 
 9901 
 0665 
 
 1428 
 2191 
 2954 
 3717 
 4480 
 
 5242 
 6005 
 6767 
 7529 
 8291 
 
 3 4 i 5 
 
 0869 
 1637 
 2406 
 3174 
 3942 
 
 4710 
 5478 
 6246 
 7013 
 7781 
 
 8548 
 9315 
 0082 
 0849 
 1616 
 
 2382 
 3149 
 3915 
 4682 
 
 6 
 
 0946 
 1714 
 2483 
 3251 
 4019 
 
 4787 
 5555 
 6322 
 7090 
 
 7857 
 
 8625 
 9392 
 0159 
 0926 
 1692 
 
 2459 
 3226 
 3992 
 4758 
 
 5448 5524 
 
 6214 
 6979 
 7745 
 8511 
 9276 
 0041 
 0806 
 1571 
 2336 
 3101 
 
 3866 
 4'i30 
 5394 
 6159 
 6923 
 
 7687 
 8450 
 9214 
 9978 
 0741 
 
 1504 
 2267 
 3030 
 3793 
 4556 
 
 5319 
 6081 
 6843 
 7606 
 
 8368 
 
 6290 
 7056 
 7822 
 8587 
 9353 
 
 0118 
 0883 
 1648 
 2413 
 3178 
 
 3942 
 4707 
 5471 
 6235 
 6999 
 7763 
 8527 
 9290 
 0054 
 0817 
 1581 
 2344 
 3107 
 3870 
 4632 
 
 5395 
 6157 
 6920 
 7682 
 8444 
 
 1023 
 1791 
 2559 
 
 3328 
 4096 
 
 4864 
 5631 
 6399 
 7167 
 
 8 
 
 1099 
 1868 
 2636 
 3404 
 4172 
 
 4940 
 5708 
 6476 
 7243 
 
 934 8011 8088 
 
 8701 
 9469 
 0236 
 1002 
 1769 
 2536 
 3302 
 4069 
 4835 
 5601 
 
 6367 
 7133 
 
 7898 
 8664 
 9429 
 
 0194 
 0959 
 1724 
 2489 
 3254 
 
 4019 
 4783 
 5547 
 6311 
 7076 
 
 7839 
 8603 
 9367 
 0130 
 0894 
 
 1657 
 2420 
 3183 
 3946 
 4709 
 5471 
 6233 
 6996 
 7758 
 8520 
 
 1176 
 1945 
 2713 
 3481 
 4249 
 
 5017 
 5785 
 6553 
 7320 
 
 8778 
 9545 
 0312 
 1079 
 1846 
 
 2612 
 3379 
 4145 
 4911 
 5677 
 
 6445 
 
 7209 
 7975 
 8740 
 9506 
 
 0271 
 1036 
 1801 
 2566 
 3330 
 
 4095 
 4859 
 5624 
 6388 
 7152 
 7916 
 8680 
 9443 
 0207 
 0970 
 
 1733 
 2496 
 3259 
 4022 
 4785 
 
 5547 
 6310 
 7072 
 
 7834 
 8596 
 
 7 I 8 
 
 8855 
 9622 
 0389 
 1156 
 1922 
 
 2689 
 3455 
 4222 
 4988 
 5754 
 
 6520 
 7286 
 8051 
 8817 
 9582 
 
 0347 
 1112 
 1877 
 2642 
 3407 
 
 4171 
 4936 
 5700 
 6464 
 
 7228 
 
 7992 
 8756 
 9520 
 0283 
 1046 
 
 1810 
 2573 
 3336 
 4098 
 4861 
 
 5624 
 6386 
 7148 
 7910 
 
 8672 
 
 D 
 
 D 
 
 o n o 
 
(100) LOGARITHMS ' ' N, 57000 L. 755 1 
 
 N. 
 
 5700 
 
 
 
 1 
 8825 
 
 8901 
 
 3 
 
 8977 
 
 4 
 
 9053 
 
 5 
 
 9130 
 
 6 
 
 9206 
 
 7 
 
 8 
 
 9358 
 
 9 
 9434 
 
 D 
 
 Pro. 
 
 7558749 
 
 9282 
 
 01 
 
 9510 
 
 9587 
 
 9663 
 
 i.>739 
 
 9815 
 
 9891 
 
 9967 
 
 0044 
 
 0120 
 
 0196 
 
 
 77 
 
 02 
 
 7560272 
 
 0348 
 
 0424 
 
 0501 
 
 0577 
 
 0653 
 
 0729 
 
 0805 
 
 0881 
 
 0958 
 
 
 1 8 
 
 03 
 
 1034 
 
 1110 
 
 1186 
 
 1262 
 
 1338 
 
 1414 
 
 1491 
 
 1567 
 
 1643 
 
 1719 
 
 
 2 15 
 
 3 23 
 431 
 
 04 
 
 1795 
 
 1871 
 
 1947 
 
 2024 
 
 2100 
 
 2176 
 
 2252 
 
 2328 
 
 2404 
 
 2480 
 
 
 a5 
 
 2556 
 
 2633 
 
 2709 
 
 2785 
 
 2861 
 
 2937 
 
 3013 
 
 3089 
 
 3165 
 
 3242 
 
 
 6 39 
 
 06 
 
 3318 
 
 3394 
 
 3470 
 
 3546 
 
 3622 
 
 3698 
 
 3774 
 
 3850 
 
 3927 
 
 4003 
 
 
 6 46 
 
 7 54 
 
 8 62 
 
 07 
 
 4079 
 
 4155 
 
 4231 
 
 4307 
 
 4383 
 
 4459 
 
 4535 
 
 4611 
 
 4687 
 
 4764 
 
 
 08 
 
 4840 
 
 4916 
 
 4992 
 
 5068 
 
 5144 
 
 5220 
 
 5296 
 
 5372 
 
 5448 
 
 5524 
 
 
 9 69 
 
 09 
 
 5600 
 
 5677 
 
 5753 
 
 5829 
 
 5905 
 
 5981 
 
 6057 
 
 6133 
 
 6209 
 
 6285 
 
 
 
 5710 
 
 6361 
 
 6437 
 
 6513 
 
 6589 
 
 QQQ5 
 
 6741 
 
 6817 
 
 6893 
 
 6970 
 
 7046 
 
 
 
 11 
 
 7122 
 
 7198 
 
 7274 
 
 7350 
 
 7426 
 
 7502 
 
 7578 
 
 7654 
 
 7730 
 
 7806 
 
 
 
 12 
 
 7882 
 
 7958 
 
 8034 
 
 8110 
 
 8186 
 
 8262 
 
 8338 
 
 8414 
 
 8490 
 
 8566 
 
 
 
 13 
 
 8642 
 
 8718 
 
 8794 
 
 8870 
 
 8946 
 
 9022 
 
 9098 
 
 9174 
 
 9250 
 
 9326 
 
 
 
 14 
 
 9402 
 
 9478 
 
 9554 
 
 9630 
 
 9706 
 
 9782 
 
 9858 
 
 9934 
 
 0010 
 
 0086 
 
 76 
 
 
 15 
 
 7570162 
 
 0238 
 
 0314 
 
 0390 
 
 0466 
 
 0542 
 
 0618 
 
 0694 
 
 0770 
 
 0846 
 
 
 16 
 
 0922 
 
 0998 
 
 1074 
 
 1150 
 
 1226 
 
 1302 
 
 1378 
 
 1454 
 
 1530 
 
 1606 
 
 
 
 17 
 
 1682 
 
 1758 
 
 1834 
 
 1910 
 
 1986 
 
 2062 
 
 2138 
 
 2214 
 
 2290 
 
 2366 
 
 
 
 IS 
 
 2442 
 
 2517 
 
 2593 
 
 2669 
 
 2745 
 
 2821 
 
 2897 
 
 2973 
 
 3049 
 
 3125 
 
 
 
 19 
 
 3201 
 
 3277 
 
 3353 
 
 3429 
 
 3505 
 
 3581 
 
 3657 
 
 3733 
 
 3808 
 
 3884 
 
 
 
 5720 
 
 3960 
 
 4036 
 
 4112 
 
 4188 
 
 4264 
 
 4340 
 
 4416 
 
 4492 
 
 4568 
 
 4644 
 
 
 
 21 
 
 4719 
 
 4795 
 
 4871 
 
 4947 
 
 5023 
 
 5099 
 
 5175 
 
 5251 
 
 5327 
 
 5403 
 
 
 
 22 
 
 5479 
 
 5554 
 
 5630 
 
 5706 
 
 5782 
 
 5858 
 
 5934 
 
 6010 
 
 6086 
 
 6162 
 
 
 
 23 
 
 6237 
 
 6313 
 
 6389 
 
 6465 
 
 6541 
 
 6617 
 
 6693 
 
 6769 
 
 6845 
 
 6920 
 
 
 
 24 
 
 6996 
 
 7072 
 
 7148 
 
 7224 
 
 7300 
 
 7376 
 
 7451 
 
 7527 
 
 7603 
 
 7679 
 
 
 
 25 
 
 7755 
 
 7831 
 
 7907 
 
 7982 
 
 8058 
 
 8134 
 
 8210 
 
 8286 
 
 8362 
 
 8438 
 
 
 
 26 
 
 8513 
 
 8589 
 
 8665 
 
 8741 
 
 8817 
 
 8893 
 
 8968 
 
 9044 
 
 9120 
 
 9196 
 
 
 
 27 
 
 9272 
 
 9348 
 
 9423 
 
 9499 
 
 9575 
 
 9651 
 
 9727 
 
 9803 
 
 9878 
 
 9954 
 
 
 
 28 
 
 7580030 
 
 0106 
 
 0182 
 
 0258 
 
 0333 
 
 0409 
 
 0485 
 
 0561 
 
 0637 
 
 0712 
 
 
 
 29 
 
 0788 
 
 0864 
 
 0940 
 
 1016 
 
 1091 
 
 1167 
 
 1243 
 
 1319 
 
 1395 
 
 1470 
 
 
 
 5730 
 
 1546 
 
 1622 
 
 1698 
 
 1774 
 
 1849 
 
 1925 
 
 2001 
 
 2077 
 
 2153 
 
 2228 
 
 
 
 31 
 
 2304 
 
 2380 
 
 2456 
 
 2531 
 
 2607 
 
 2683 
 
 2759 
 
 2835 
 
 2910 
 
 2986 
 
 
 
 32 
 
 3062 
 
 3138 
 
 3213 
 
 3289 
 
 3365 
 
 3441 
 
 3516 
 
 3592 
 
 3668 
 
 3744 
 
 
 
 33 
 
 3819 
 
 3895 
 
 3971 
 
 4047 
 
 4122 
 
 4198 
 
 4274 
 
 4350 
 
 4425 
 
 4501 
 
 
 
 34 
 
 4577 
 
 4653 
 
 4728 
 
 4804 
 
 4880 
 
 4956 
 
 5031 
 
 5107 
 
 5183 
 
 5258 
 
 
 
 35 
 
 5334 
 
 5410 
 
 5486 
 
 5561 
 
 5637 
 
 5713 
 
 5789 
 
 5864 
 
 5940 
 
 6016 
 
 
 
 3Q 
 
 6091 
 
 ai67 
 
 6243 
 
 6319 
 
 6394 
 
 6470 
 
 6546 
 
 6621 
 
 6697 
 
 6773 
 
 
 
 37 
 
 6848 
 
 6924 
 
 7000 
 
 7076 
 
 7151 
 
 7227 
 
 7303 
 
 7378 
 
 7454 
 
 7530 
 
 
 
 38 
 
 7605 
 
 7681 
 
 7757 
 
 7832 
 
 7908 
 
 7984 
 
 8060 
 
 8135 
 
 8211 
 
 8287 
 
 
 
 39 
 
 8362 
 
 8438 
 
 8514 
 
 8589 
 
 8665 
 
 8741 
 
 8816 
 
 8892 
 
 8968 
 
 9043 
 
 
 
 5740 
 
 9119 
 
 9195 
 
 9270 
 
 9346 
 
 9422 
 
 9497 
 
 9573 
 
 9649 
 
 9724 
 
 9800 
 
 
 
 41 
 
 9875 
 
 9951 
 
 0027 
 
 0102 
 
 0178 
 
 0254 
 
 0329 
 
 0405 
 
 0481 
 
 0556 
 
 
 
 42 
 
 7590632 
 
 0708 
 
 0783 
 
 0859 
 
 0934 
 
 1010 
 
 1086 
 
 1161 
 
 1237 
 
 1313 
 
 
 76 
 
 43 
 
 1388 
 
 1464 
 
 1539 
 
 1615 
 
 1691 
 
 1766 
 
 1842 
 
 1917 
 
 1993 
 
 2069 
 
 
 1 8 
 
 44 
 
 2144 
 
 2220 
 
 2296 
 
 2371 
 
 2447 
 
 2522 
 
 2598 
 
 2674 
 
 2749 
 
 2825 
 
 
 2 15 
 
 3 23 
 
 4 30 
 
 . 45 
 
 2900 
 
 2976 
 
 3052 
 
 3127 
 
 3203 
 
 3278 
 
 3354 
 
 3429 
 
 3595 
 
 3581 
 
 
 46 
 
 3Q5Q 
 
 3732 
 
 3807 
 
 3883 
 
 3959 
 
 4054 
 
 4110 
 
 4185 
 
 4261 
 
 4336 
 
 
 5 38 
 
 47 
 
 4412 
 
 4488 
 
 4563 
 
 4639 
 
 4714. 
 
 4790 
 
 4865 
 
 4941 
 
 5016 
 
 5092 
 
 
 6 46 
 
 7 53 
 
 8 61 
 
 48 
 
 5168 
 
 5243 
 
 5319 
 
 5394 
 
 5470 
 
 5545 
 
 5621 
 
 5696 
 
 5772 
 
 5848 
 
 
 49 
 
 5923 
 
 5999 
 1 
 
 6074 
 
 6150 
 
 3 
 
 6225 
 
 4 
 
 6301 
 ~5~ 
 
 6376 
 
 ~6~ 
 
 6452 6527 
 
 6603 
 
 D 
 
 9 68 
 Pts. 
 
 N.I 
 
 
 
 ^2 
 
 .7 S 9 1 
 
N. 57500 L.759 OF NUMBERS. (101)1 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pro. 
 
 5730 
 
 75^96678 
 
 6754 
 
 6830 
 
 6905 
 
 6981 
 
 7056 
 
 7132 
 
 7207 
 
 7283 
 
 7358 
 
 
 
 51 
 
 7434 
 
 7509 
 
 7585 
 
 7660 
 
 7736 
 
 7811 
 
 7887 
 
 7962 
 
 8038 
 
 8113 
 
 
 75 
 
 52 
 
 8189 
 
 8264 
 
 8340 
 
 8415 
 
 8491 
 
 8566 
 
 8642 
 
 8717 
 
 8793 
 
 8868 
 
 
 1 8 
 
 53 
 
 8944 
 
 9019 
 
 9095 
 
 9170 
 
 9246 
 
 9321 
 
 9397 
 
 9472 
 
 9548 
 
 9623 
 
 
 2 15 
 
 3 23 
 
 4 3a 
 
 54 
 
 9699 
 
 9774 
 
 9850 
 
 9925 
 
 0000 
 
 0076 
 
 0151 
 
 0227 
 
 0302 
 
 0378 
 
 
 55 
 
 7600453 
 
 0529 
 
 0604 
 
 0680 
 
 0755 
 
 0831 
 
 0906 
 
 0981 
 
 1057 
 
 1132 
 
 
 5 3'8 
 
 56 
 
 1208 
 
 1283 
 
 1359 
 
 1434 
 
 1510 
 
 1585 
 
 1661 
 
 1736 
 
 1811 
 
 1887 
 
 
 6 45 
 
 7 53 
 
 8 60 
 
 51 
 
 19^2 
 
 2038 
 
 2113 
 
 2189 
 
 2264 
 
 2339 
 
 2415 
 
 2490 
 
 2566 
 
 2641 
 
 
 5^ 
 
 2717 
 
 2792 
 
 2867 
 
 2943 
 
 3018 
 
 3094 
 
 3169 
 
 3245 
 
 3320 
 
 3395 
 
 
 9 68 
 
 59 
 
 3471 
 
 3546 
 
 3622 
 
 3697 
 
 3772 
 
 3848 
 
 3923 
 
 3999 
 
 4074 
 
 4149 
 
 
 .' 
 
 5760 
 
 4225 
 
 4300 
 
 4376 
 
 4451 
 
 4526 
 
 4602 
 
 4677 
 
 4753 
 
 4828 
 
 4903 
 
 
 
 61 
 
 4979 
 
 5054 
 
 5130 
 
 5205 
 
 5280 
 
 5356 
 
 5431 
 
 5506 
 
 5582 
 
 5657 
 
 
 
 62 
 
 5733 
 
 5808 
 
 5883 
 
 5959 
 
 6034 
 
 6109 
 
 6185 
 
 6260 
 
 6336 
 
 6410 
 
 
 
 63 
 
 6486 
 
 6562 
 
 6637 
 
 6712 
 
 6788 
 
 6863 
 
 6938 
 
 7014 
 
 7089 
 
 7164 
 
 
 
 64 
 
 7240 
 
 7315 
 
 7390 
 
 7466 
 
 7541 
 
 7616 
 
 7692 
 
 7767 
 
 7842 
 
 7918 
 
 
 
 65 
 
 7993 
 
 8068 
 
 8144 
 
 8219 
 
 8294 
 
 8370 
 
 8445 
 
 8520 
 
 8596 
 
 8671 
 
 
 
 66 
 
 8746 
 
 8822 
 
 8897 
 
 8972 
 
 9048 
 
 9123 
 
 9198 
 
 9274 
 
 9349 
 
 9424 
 
 
 
 67 
 
 9500 
 
 9575 
 
 9650 
 
 9725 
 
 9801 
 
 9876 
 
 9951 
 
 0027 
 
 0102 
 
 0177 
 
 
 
 68 
 
 7610253 
 
 0328 
 
 0403 
 
 0478 
 
 0554 
 
 0629 
 
 0704 
 
 0780 
 
 0855 
 
 0930 
 
 
 
 69 
 
 1005 
 
 1081 
 
 1156 
 
 1231 
 
 1307 
 
 1382 
 
 1457 
 
 1532 
 
 1608 
 
 1683 
 
 
 
 5770 
 
 1756 
 
 1833 
 
 1909 
 
 1984 
 
 2059 
 
 2134 
 
 221-0 
 
 2285 
 
 2360 
 
 2435 
 
 
 
 71 
 
 2511 
 
 2586 
 
 2661 
 
 2737 
 
 2812 
 
 2887 
 
 2962 
 
 3037 
 
 3113 
 
 3188 
 
 
 
 72 
 
 3263 
 
 3338 
 
 3414 
 
 3489 
 
 3564 
 
 3639 
 
 3715 
 
 3790 
 
 3865 
 
 3940 
 
 
 
 73 
 
 4016 
 
 4091 
 
 4166 
 
 4241 
 
 4316 
 
 4392^ 
 
 ^4467 
 
 4542 
 
 4617 
 
 4693 
 
 
 
 74 
 
 4768 
 
 4843 
 
 4918 
 
 4993 
 
 5069 
 
 5144 
 
 5219 
 
 5294 
 
 5369 
 
 5445 
 
 
 
 75 
 
 5520 
 
 5595 
 
 5670 
 
 5745 
 
 5821 
 
 5896 
 
 5971 
 
 6046 
 
 6121 
 
 6197 
 
 
 
 76 
 
 6272 
 
 6347 
 
 6422 
 
 6497 
 
 6573 
 
 6648 
 
 6723 
 
 6798 
 
 6873 
 
 6948 
 
 
 
 77 
 
 7024 
 
 7099 
 
 7174 
 
 7249 
 
 7324 
 
 7400 
 
 7475 
 
 7550 
 
 7625 
 
 7700 
 
 
 
 78 
 
 7775 
 
 7851 
 
 7926 
 
 8001 
 
 8076 
 
 8151 
 
 8226 
 
 8301 
 
 8377 
 
 8452 
 
 
 
 79 
 
 8527 
 
 8602 
 
 8677 
 
 8752 
 
 8828 
 
 8903 
 
 8978 
 
 9053 
 
 9128 
 
 9203 
 
 
 
 5780 
 
 9278 
 
 9354 
 
 9429 
 
 9504 
 
 9579 
 
 9654 
 
 9729 
 
 9804 
 
 9879 
 
 9955 
 
 
 
 81 
 
 7620030 
 
 0105 
 
 0180 
 
 0255 
 
 0330 
 
 0405 
 
 0480 
 
 0556 
 
 0631 
 
 0706 
 
 
 
 82 
 
 0781 
 
 0856 
 
 0931 
 
 1006 
 
 1081 
 
 1156 
 
 1232 
 
 1307 
 
 1382 
 
 1457 
 
 
 
 83 
 
 1532 
 
 1607, 
 
 ^1682 
 
 1757 
 
 1832 
 
 1907 
 
 1982 
 
 205 S 
 
 2133 
 
 2208 
 
 
 
 84 
 
 2283 
 
 2358 
 
 2433 
 
 2508 
 
 2583 
 
 2658 
 
 2733 
 
 2808 
 
 2883 
 
 2959 
 
 
 
 85 
 
 3034 
 
 3109 
 
 3184 
 
 3259 
 
 3334 
 
 3409 
 
 3484 
 
 3559 
 
 3634 
 
 3709 
 
 
 
 86 
 
 3784 
 
 3859 
 
 3934 
 
 4009 
 
 4085 
 
 4160 
 
 4235 
 
 4310 
 
 4385 
 
 4460 
 
 
 
 87 
 
 4535 
 
 4610 
 
 4685 
 
 4760 
 
 4835 
 
 4910 
 
 4985 
 
 5060 
 
 5135 
 
 5210 
 
 
 
 88 
 
 5285 
 
 5360 
 
 5435 
 
 5510 
 
 5585 
 
 5660 
 
 5735 
 
 5810 
 
 58S5 
 
 5960 
 
 75 
 
 
 89 
 
 6035 
 
 6111 
 
 6186 
 
 6261 
 
 6336 
 
 6411 
 
 6486 
 
 6561 
 
 6636 
 
 6711 
 
 
 
 5790 
 
 6786 
 
 6861 
 
 6936 
 
 7011 
 
 7086 
 
 7161 
 
 7236 
 
 7311 
 
 7386 
 
 7461 
 
 
 
 91 
 
 7536 
 
 7611 
 
 7686 
 
 7761 
 
 7836 
 
 7911 
 
 7986 
 
 8061 
 
 8136 
 
 8211 
 
 
 
 92 
 
 8286 
 
 8361 
 
 8435 
 
 8510 
 
 8585 
 
 8660 
 
 8735 
 
 8810 
 
 8885 
 
 8960 
 
 
 74 
 
 93 
 
 9035 
 
 9110 
 
 9185 
 
 9260 
 
 9335 
 
 9410 
 
 9485 
 
 9560 
 
 9635 
 
 9710 
 
 
 1 7 
 
 94 
 
 9785 
 
 9860 
 
 9935 
 
 0010 
 
 0085 
 
 0160 
 
 0235 
 
 0310 
 
 0385 
 
 0459 
 
 
 2 15 
 
 3 22 
 
 4 30 
 
 95 
 
 7630534 
 
 0609 
 
 0684 
 
 0759 
 
 0834 
 
 0909 
 
 0984 
 
 1059 
 
 1134 
 
 1209 
 
 
 96 
 
 1284 
 
 1359 
 
 1434 
 
 1509 
 
 1583 
 
 1658 
 
 1733 
 
 1808 
 
 1883 
 
 1958 
 
 
 5 37 
 
 97 
 
 2033 
 
 2108 
 
 2183 
 
 2258 
 
 2333 
 
 2408 
 
 2482 
 
 2557 
 
 2632 
 
 2707 
 
 
 6 44 
 
 98 
 
 2782 
 
 2857 
 
 2QS^ 
 
 3007 
 
 3082 
 
 3157 
 
 3232 
 
 3306 
 
 3381 
 
 345o 
 
 
 7 52 
 
 Kq 
 
 99 
 
 N. 
 
 3531 
 
 3606 
 1 
 
 3681 
 
 .2 
 
 375Q 
 
 3831 
 
 3906 
 
 5 
 
 3980 
 
 6 
 
 4055 
 
 7 
 
 4130 
 8 
 
 4205 
 
 9 
 
 D 
 
 9 67 
 Pts. 
 
 1 
 
 3 
 
 4 
 
(102) LOGARITHMS N. 58000 L. 763 
 
 N. 
 
 5800 
 
 
 
 1 
 
 4355 
 
 2 
 
 3 
 
 4505 
 
 4 
 
 5 
 
 4654 
 
 6 
 
 4729 
 
 7 
 
 4804 
 
 8 
 
 4879 
 
 9 
 
 4954 
 
 D 
 
 l>ro. 
 
 7634280 
 
 4430 
 
 4579 
 
 01 
 
 5029 
 
 5104 
 
 5178 
 
 5253 
 
 5328 
 
 5403 
 
 5478 
 
 5553 
 
 5628 
 
 5702 
 
 
 75 
 
 02 
 
 5777 
 
 5852 
 
 5927 
 
 6002 
 
 6077 
 
 6151 
 
 6226 
 
 6301 
 
 6376 
 
 6451 
 
 
 1 
 
 8 
 
 03 
 
 6526 
 
 6601 
 
 6675 
 
 6750 
 
 6825 
 
 6900 
 
 6975 
 
 7050 
 
 7124 
 
 7199 
 
 
 2 
 3 
 4 
 
 15 
 23 
 30 
 
 04- 
 
 7274 
 
 7349 
 
 7424 
 
 7499 
 
 7573 
 
 7648 
 
 7723 
 
 7798 
 
 7873 
 
 7947 
 
 
 05 
 
 8022 
 
 8097 
 
 8172 
 
 8247 
 
 8321 
 
 8396 
 
 8471 
 
 8546 
 
 8621 
 
 8696 
 
 
 5 
 
 38 
 
 06 
 
 8770 
 
 8845 
 
 8920 
 
 8995 
 
 9070 
 
 9144 
 
 9219 
 
 9294 
 
 9369 
 
 9443 
 
 
 6 
 
 7 
 s 
 
 45 
 53 
 60 
 
 07 
 
 9518 
 
 9593 
 
 9668 
 
 9743 
 
 9817 
 
 9892 
 
 9967 
 
 0042 
 
 0117 
 
 0191 
 
 
 08 
 
 7640266 
 
 0341 
 
 0416 
 
 0490 
 
 0565 
 
 0640 
 
 0715 
 
 0789 
 
 0864 
 
 0939 
 
 
 9 
 
 68 
 
 09 
 
 1014 
 
 1089 
 
 1163 
 
 1238 
 
 1313 
 
 1388 
 
 1462 
 
 1537 
 
 1612 
 
 1687 
 
 
 
 5810 
 
 1761 
 
 1836 
 
 1911 
 
 1986 
 
 2060 
 
 2135^ 
 
 2210 
 
 2285 
 
 2359 
 
 2434 
 
 
 
 H 
 
 2509 
 
 2583 
 
 2658 
 
 2733 
 
 2808 
 
 2882 
 
 2957 
 
 3032 
 
 -3107 
 
 3181 
 
 
 
 12 
 
 3256 
 
 3331 
 
 3406 
 
 3480 
 
 3555 
 
 3630 
 
 3704 
 
 3779 
 
 3854 
 
 3929 
 
 
 
 13 
 
 4003 
 
 4078 
 
 4153 
 
 4227 
 
 4302 
 
 4377 
 
 4451 
 
 4526 
 
 4601 
 
 4676 
 
 
 
 14- 
 
 4750 
 
 4825 
 
 4900 
 
 4974 
 
 5049 
 
 5124 
 
 5198 
 
 5273 
 
 5348 
 
 5425 
 
 
 
 15 
 
 5497 
 
 5572 
 
 5647 
 
 5721 
 
 5796 
 
 5871 
 
 5945 
 
 6020 
 
 6095 
 
 6169 
 
 
 
 16 
 
 6244 
 
 6319 
 
 6393 
 
 6468 
 
 6543 
 
 6617 
 
 6692 
 
 6767 
 
 6841 
 
 6916 
 
 
 
 17 
 
 6991 
 
 7065 
 
 7140 
 
 7215 
 
 7289 
 
 7364 
 
 7439 
 
 7513 
 
 7588 
 
 7663 
 
 
 
 18 
 
 7737 
 
 7812 
 
 7886 
 
 7961 
 
 8036 
 
 8110 
 
 8185 
 
 8260 
 
 8334 
 
 8409 
 
 
 
 19 
 
 8484 
 
 8558 
 
 8633 
 
 8707 
 
 8782 
 
 8857 
 
 8931 
 
 9006 
 
 9081 
 
 9155 
 
 
 
 5820 
 
 9230 
 
 9304 
 
 9379 
 
 9454 
 
 9528 
 
 9603 
 
 9678 
 
 9752 
 
 9827 
 
 9901 
 
 
 
 21 
 
 9976 
 
 D051 
 
 0125 
 
 0200 
 
 0274 
 
 0349 
 
 0424 
 
 0498 
 
 0573 
 
 0647 
 
 
 
 22 
 
 7650722 
 
 0797 
 
 0871 
 
 0946 
 
 1020 
 
 1095 
 
 1170 
 
 1244 
 
 1319 
 
 1393 
 
 
 
 23 
 
 1468 
 
 1542 
 
 1617 
 
 1692 
 
 1766 
 
 1841 
 
 1915 
 
 1990 
 
 2065 
 
 2139 
 
 
 
 24 
 
 2214 
 
 2288 
 
 2363 
 
 2437 
 
 2512 
 
 2586 
 
 2661 
 
 2736 
 
 2810 
 
 2885 
 
 
 
 25 
 
 2959 
 
 3034 
 
 3108 
 
 3183 
 
 3258 
 
 3332 
 
 3407 
 
 3481 
 
 3556 
 
 3630 
 
 
 
 26 
 
 3705 
 
 3779 
 
 3854 
 
 3928 
 
 4003 
 
 4078 
 
 4152 
 
 4227 
 
 4301 
 
 4376 
 
 
 
 27 
 
 4450 
 
 4525 
 
 4599 
 
 4674 
 
 4748 
 
 4823 
 
 4897 
 
 4972 
 
 5046 
 
 5121 
 
 
 
 . 28 
 
 5195 
 
 5270 
 
 5344 
 
 5419 
 
 5493 
 
 556S 
 
 5643 
 
 5717 
 
 5792 
 
 5866 
 
 
 
 29 
 
 5941 
 
 6015 
 
 6090 
 
 6164 
 
 6239 
 
 6313 
 
 6388 
 
 6462 
 
 6537 
 
 6611 
 
 
 
 5830 
 
 6686 
 
 6760 
 
 6835 
 
 6909 
 
 6984 
 
 7058 
 
 7132 
 
 7207 
 
 7281 
 
 7356 
 
 
 
 31 
 
 7430 
 
 7505 
 
 7579 
 
 7654 
 
 7728 
 
 7803 
 
 7877 
 
 7952 
 
 8026 
 
 8101 
 
 
 
 32 
 
 8175 
 
 8250 
 
 8324 
 
 8399 
 
 8473 
 
 8547 
 
 8622 
 
 8696 
 
 8771 
 
 8845 
 
 
 
 33 
 
 8920 
 
 8994 
 
 9069 
 
 9143 
 
 9218 
 
 9292 
 
 9366 
 
 9441 
 
 9515 
 
 9590 
 
 
 
 34 
 
 9664 
 
 9739 
 
 9813 
 
 9888 
 
 9962 
 
 0036 
 
 0111 
 
 0185 
 
 0260 
 
 0334 
 
 
 
 35 
 
 7660409 
 
 0483 
 
 0557 
 
 0632 
 
 0706 
 
 0781 
 
 0855 
 
 0930 
 
 1004 
 
 1078 
 
 
 
 36 
 
 1153 
 
 1227 
 
 1302 
 
 1376 
 
 1450 
 
 1525 
 
 1599 
 
 1674 
 
 1748 
 
 1823 
 
 
 
 37 
 
 1897 
 
 1971 
 
 2046 
 
 2120 
 
 2195 
 
 2269 
 
 2343 
 
 2418 
 
 2492 
 
 2567 
 
 
 
 3S 
 
 2641 
 
 2715 
 
 2790 
 
 2864 
 
 2938 
 
 3013 
 
 3087 
 
 3162 
 
 3236 
 
 3310 
 
 
 
 39 
 
 3385 
 
 3459 
 
 3534 
 
 3608 
 
 3682 
 
 3757 
 
 3831 
 
 3905 
 
 3980 
 
 4054 
 
 
 
 5840 
 
 4128 
 
 4203 
 
 4277 
 
 4352 
 
 4426 
 
 4500 
 
 4575 
 
 4649 
 
 4723 
 
 4798 
 
 
 
 41 
 
 4872 
 
 4946 
 
 5021 
 
 5095 
 
 5169 
 
 5244 
 
 5318 
 
 5393 
 
 5467 
 
 5541 
 
 
 
 42 
 
 5616 
 
 5690 
 
 5764 
 
 5839 
 
 5913 
 
 5987 
 
 6062 
 
 6136 
 
 6210 
 
 6285 
 
 
 74 
 
 43 
 
 6359 
 
 6433 
 
 6508 
 
 6582 
 
 0650 
 
 6730 
 
 6805 
 
 6879 
 
 6953 
 
 7028 
 
 
 1 
 
 7 
 
 44 
 
 7102 
 
 7176 
 
 7251 
 
 7325 
 
 7399 
 
 7474 
 
 7548 
 
 7622 
 
 7697 
 
 7771 
 
 
 2 
 3 
 
 15 
 22 
 
 45 
 
 7845 
 
 7919 
 
 7994 
 
 8068 
 
 8142 
 
 8217 
 
 8291 
 
 8365 
 
 8440 
 
 8514 
 
 
 4 
 
 30 
 
 46 
 
 8583 
 
 8662 
 
 8737 
 
 8811 
 
 8885 
 
 8960 
 
 9034 
 
 9108 
 
 9182 
 
 9257 
 
 
 5 
 
 37 
 
 47 
 
 9331 
 
 9405 
 
 9479 
 
 9554 
 
 9628 
 
 9702 
 
 9777 
 
 9851 
 
 9925 
 
 9999 
 
 
 6 
 
 7 
 8 
 
 44 
 
 48 
 
 7670074 
 
 0148 
 
 0222 
 
 0296 
 
 0371 
 
 0445 
 
 0519 
 
 0593 
 
 0668 
 
 0742 
 
 
 59 
 
 49 
 
 N. 
 
 0816 
 
 0890 
 1 
 
 0965 
 
 1039 
 
 3 
 
 1113 
 
 4 
 
 1187 
 5 
 
 1262 
 
 6 
 
 1336 
 
 7 
 
 1410 
 8 
 
 1484 
 
 9 
 
 D" 
 
 9 
 
 67 
 
 
 
 2 
 
 P 
 
 ts. 
 
N. 58500 L. 7^7 of numbers. (103) 
 
 N. 
 
 5850 
 
 
 
 1 
 
 1633 
 
 2 
 1707 
 
 3 
 
 178T 
 
 4 
 
 1856 
 
 5 
 
 1930 
 
 6 
 
 2004 
 
 7 
 
 2078 
 
 8 
 
 2153 
 
 9 
 
 2227 
 
 " 
 
 Pro. 
 
 7671559 
 
 51 
 
 2301 
 
 2375 
 
 2449 
 
 2524 
 
 2598 
 
 2672 
 
 2746 
 
 2821 
 
 2895 
 
 2969 
 
 
 74 
 
 52 
 
 3043 
 
 3117 
 
 3192 
 
 3266 
 
 3340 
 
 3414 
 
 3488 
 
 3563 
 
 3637 
 
 3711 
 
 
 1 7 
 
 53 
 
 3785 
 
 3859 
 
 3934 
 
 4008 
 
 4082 
 
 4156 
 
 4230 
 
 4305 
 
 4379 
 
 4453 
 
 
 2 15 
 
 3 22 
 
 4 30 
 
 54 
 
 4527 
 
 4601 
 
 4676 
 
 4750 
 
 4824 
 
 4898 
 
 4972 
 
 5046 
 
 5121 
 
 5195 
 
 
 55 
 
 5269 
 
 5343 
 
 5417 
 
 5492 
 
 5566 
 
 5640 
 
 5714 
 
 5788 
 
 5862 
 
 5937 
 
 
 5 37 
 
 56 
 
 6011 
 
 6085 
 
 6159 
 
 6233 
 
 6307 
 
 6381 
 
 6456 
 
 6530 
 
 6604 
 
 6678 
 
 
 6 44 
 
 7 52 
 
 8 59 
 
 57 
 
 6752 
 
 6826 
 
 6901 
 
 6975 
 
 7049 
 
 7123 
 
 7197 
 
 7271 
 
 7345 
 
 7420 
 
 
 58 
 
 7494 
 
 7568 
 
 7642 
 
 7716 
 
 7790 
 
 7864 
 
 7938 
 
 8013 
 
 8087 
 
 8161 
 
 
 9 67 
 
 59 
 
 8235 
 
 8309 
 
 8383 
 
 8457 
 
 8531 
 
 8606 
 
 8680 
 
 8754 
 
 8828 
 
 8902 
 
 
 
 5860 
 
 8976 
 
 9050 
 
 9124 
 
 9198 
 
 9273 
 
 9347 
 
 9421 
 
 9495 
 
 9569 
 
 9643 
 
 
 
 61 
 
 9717 
 
 9791 
 
 9865 
 
 9940 
 
 U014 
 
 0088 
 
 0162 
 
 0236 
 
 0310 
 
 0384 
 
 
 
 62 
 
 7680458 
 
 0532 
 
 0606 
 
 0680 
 
 0754 
 
 0829 
 
 0903 
 
 0977 
 
 1051 
 
 1125 
 
 
 
 63 
 
 1199 
 
 1273 
 
 1347 
 
 1421 
 
 1495 
 
 1569 
 
 1643 
 
 1717 
 
 1791 
 
 1866 
 
 
 
 64. 
 
 1940 
 
 2014 
 
 2088 
 
 2162 
 
 2236 
 
 2310 
 
 2384 
 
 2458 
 
 2532 
 
 2606 
 
 
 
 65 
 
 2680 
 
 2754 
 
 2828 
 
 2902 
 
 2976 
 
 3050 
 
 3124 
 
 3198 
 
 3273 
 
 3347 
 
 
 
 66 
 
 3421 
 
 3495 
 
 3569 
 
 3643 
 
 3717 
 
 3791 
 
 3865 
 
 3939 
 
 4013 
 
 4087 
 
 
 
 67 
 
 4161 
 
 4235 
 
 4309 
 
 4383 
 
 4457 
 
 4531 
 
 4605 
 
 4679 
 
 4753 
 
 4827 
 
 74 
 
 
 68 
 
 4901 
 
 4975 
 
 5049 
 
 5123 
 
 5197 
 
 5271 
 
 5345 
 
 5419 
 
 5493 
 
 5567 
 
 
 
 69 
 
 5641 
 
 5715 
 
 5789 
 
 5863 
 
 5937 
 
 6011 
 
 6085 
 
 6159 
 
 6233 
 
 6307 
 
 
 
 5870 
 
 6381 
 
 6455 
 
 6529 
 
 6603 
 
 6677 
 
 6751 
 
 6825 
 
 6899 
 
 6973 
 
 7047 
 
 
 
 71 
 
 7121 
 
 7195 
 
 7269 
 
 7343 
 
 7417 
 
 7491 
 
 7565 
 
 7639 
 
 7713 
 
 7787 
 
 
 
 72 
 
 7860 
 
 7934 
 
 8008 
 
 8082 
 
 8156 
 
 8230 
 
 8304 
 
 8378 
 
 8452 
 
 8526 
 
 
 
 73 
 
 8600 
 
 86^4 
 
 8748 
 
 8822 
 
 8896 
 
 8970 
 
 90 H 
 
 9118 
 
 9192 
 
 9265 
 
 
 
 74 
 
 9339 
 
 9413 
 
 9487 
 
 9561 
 
 9635 
 
 9709 
 
 9783 
 
 9857 
 
 9931 
 
 0005 
 
 
 
 75 
 
 7690079 
 
 0153 
 
 0227 
 
 0300 
 
 0374 
 
 0448 
 
 0522 
 
 0596 
 
 0670 
 
 0744 
 
 
 
 76 
 
 0818 
 
 0892 
 
 0966 
 
 1040 
 
 1114 
 
 1187 
 
 1261 
 
 1335 
 
 1409 
 
 1483 
 
 
 
 77 
 
 1557 
 
 1631 
 
 1705 
 
 1779 
 
 1852 
 
 1926 
 
 2000 
 
 2074 
 
 2148 
 
 2222 
 
 
 
 78 
 
 2296 
 
 2370 
 
 2444 
 
 2517 
 
 2591 
 
 2665 
 
 2739 
 
 2813 
 
 2887 
 
 2961 
 
 
 
 79 
 
 3035 
 
 3108 
 
 3182 
 
 3256 
 
 3330 
 
 3404 
 
 3478 
 
 3552 
 
 3626 
 
 3699 
 
 
 
 5880 
 
 3773 
 
 3847 
 
 3921 
 
 3995 
 
 4069 
 
 4143 
 
 4216 
 
 4290 
 
 4364 
 
 4438 
 
 
 
 81 
 
 4512 
 
 4586 
 
 4659 
 
 4733 
 
 4807 
 
 4881 
 
 4955 
 
 5029 
 
 5103 
 
 5176 
 
 
 
 82 
 
 5250 
 
 5324 
 
 5398 
 
 5472 
 
 5546 
 
 5619 
 
 5693 
 
 5767 
 
 5841 
 
 5915 
 
 
 
 83 
 
 5988 
 
 6062 
 
 6136 
 
 6210 
 
 6284 
 
 6358 
 
 6431 
 
 6505 
 
 6579 
 
 6653 
 
 
 
 84 
 
 6727 
 
 6800 
 
 6874 
 
 6948 
 
 7022 
 
 7096 
 
 7169 
 
 7243 
 
 7317 
 
 7391 
 
 
 
 85 
 
 7465 
 
 7538 
 
 7612 
 
 7686 
 
 7760 
 
 7834 
 
 7907 
 
 7981 
 
 80^5 
 
 8129 
 
 
 
 86 
 
 8203 
 
 8276 
 
 8350 
 
 8424 
 
 8498 
 
 8571 
 
 8645 
 
 8719 
 
 8793 
 
 8867 
 
 
 
 87 
 
 8940 
 
 9014 
 
 9088 
 
 9162 
 
 9235 
 
 9309 
 
 9383 
 
 9457 
 
 9530 
 
 9604 
 
 
 
 88 
 
 9678 
 
 9752 
 
 9826 
 
 9899 
 
 9973 
 
 5047 
 
 0121 
 
 0194 
 
 0268 
 
 0342 
 
 
 
 89 
 
 7700416 
 
 0489 
 
 0563 
 
 0637 
 
 0711 
 
 0784 
 
 0858 
 
 0932 
 
 1005 
 
 1079 
 
 
 
 5890 
 
 1153 
 
 1227 
 
 1300 
 
 1374 
 
 1448 
 
 1522 
 
 1595 
 
 1669 
 
 1743 
 
 1817 
 
 
 
 91 
 
 1890 
 
 1964 
 
 2038 
 
 2111 
 
 2185 
 
 2259 
 
 2333 
 
 2406 
 
 2480 
 
 2554 
 
 
 
 92 
 
 2627 
 
 2701 
 
 2775 
 
 2849 
 
 2922 
 
 2996 
 
 3070 
 
 3143 
 
 3217 
 
 3291 
 
 
 73 
 
 . 93 
 
 3364 
 
 3438 
 
 3512 
 
 3585 
 
 3659 
 
 3733 
 
 3807 
 
 3880 
 
 3954 
 
 4028 
 
 
 1 7 
 
 94 
 
 4101 
 
 4175 
 
 4249 
 
 4322 
 
 4396 
 
 4470 
 
 4543 
 
 4617 
 
 4691 
 
 4764 
 
 
 2 15 
 
 3 22 
 
 95 
 
 4838 
 
 4912 
 
 4985 
 
 5059 
 
 5133 
 
 5206 
 
 5280 
 
 5354 
 
 5427 
 
 5501 
 
 
 4 29 
 
 96 
 
 5575 
 
 5648 
 
 5722 
 
 5796 
 
 5869 
 
 5943 
 
 6017 
 
 6090 
 
 6164 
 
 6238 
 
 
 5 37 
 
 97 
 
 6311 
 
 6385 
 
 6459 
 
 6532 
 
 6606 
 
 6679 
 
 6753 
 
 6827 
 
 6900 
 
 6974 
 
 
 6' 44 
 751 
 8 58 
 
 98 
 
 7048 
 
 7121 
 
 7195 
 
 7269 
 
 7342 
 
 7416 
 
 7489 
 
 7563 
 
 7637 
 
 7710 
 
 
 99 
 
 N. 
 
 7784 
 
 7858 
 1 
 
 7931 
 2 
 
 8005 
 
 3 
 
 8078 
 
 4 
 
 8152 
 5 
 
 8226 
 
 6 
 
 8299 
 
 7 1 
 
 8373 
 8 
 
 8447 
 
 9 
 
 D 
 
 9 66 
 
 Pts> 
 
 
 
(104) LOGARiTPiMs N. .5.9000 L.770 
 
 N. 
 
 5900 
 
 
 
 1 
 
 8594 
 
 2 
 
 8667 
 
 3 
 
 8741 
 
 4 
 
 ll ^ 
 
 8888 
 
 6 
 
 8962 
 
 7 
 
 9035 
 
 8 
 
 9109 
 
 9 
 
 918*i 
 
 ID 
 
 Pro. 
 
 7708520 
 
 8815 
 
 01 
 
 9256 
 
 9330 
 
 9403 
 
 9477 
 
 9551 
 
 9624 
 
 9698 
 
 9771 
 
 9845 
 
 9918 
 
 
 74 
 
 02 
 
 9992 
 
 ^066 
 
 0139 
 
 0213 
 
 0286 
 
 0360 
 
 0434 
 
 0507 
 
 0581 
 
 0654 
 
 
 1 7 
 
 03 
 
 7710728 
 
 0801 
 
 0875 
 
 0949 
 
 1022 
 
 1096 
 
 1169 
 
 1243 
 
 1316 
 
 1390 
 
 
 2 15 
 
 04 
 
 1463 
 
 1537 
 
 1611 
 
 1684 
 
 1758 
 
 1831 
 
 1905 
 
 1978 
 
 2052 
 
 2125 
 
 
 3 22 
 
 4 30 
 
 05 
 
 2199 
 
 2273 
 
 2346 
 
 2420 
 
 2493 
 
 2567 
 
 2640 
 
 2714 
 
 2787 
 
 2861 
 
 
 5 37 
 
 06 
 
 2934 
 
 3008 
 
 3081 
 
 3155 
 
 3229 
 
 3302 
 
 3376 
 
 3449 
 
 3523 
 
 3596 
 
 
 6 44 
 
 07 
 
 3670 
 
 3743 
 
 3817 
 
 3890 
 
 3964 
 
 4037 
 
 4111 
 
 4184 
 
 4258 
 
 4331 
 
 
 7 52 
 
 8 59 
 
 9 67 
 
 08 
 
 4405 
 
 4478 
 
 4552 
 
 4625 
 
 4699 
 
 4772 
 
 4846 
 
 4919 
 
 4993 
 
 5066 
 
 
 09 
 
 5140 
 
 5213 
 
 5287 
 
 5360 
 
 5434 
 
 5507 
 
 5581 
 
 5654 
 
 5728 
 
 5801 
 
 
 
 5910 
 
 5875 
 
 59458 
 
 6022 
 
 6095 
 
 6169 
 
 6242 
 
 6316 
 
 6389 
 
 6463 
 
 6536 
 
 
 
 11 
 
 6610 
 
 6683 
 
 6757 
 
 6830 
 
 6903 
 
 6977 
 
 7050 
 
 7124 
 
 7197 
 
 7271 
 
 
 
 12 
 
 7344 
 
 7418 
 
 7491 
 
 7565 
 
 7638 
 
 7712 
 
 7785 
 
 7858 
 
 7932 
 
 8005 
 
 
 
 13 
 
 8079 
 
 8152 
 
 8226 
 
 8299 
 
 8373 
 
 8446 
 
 8519 
 
 8593 
 
 S666 
 
 8740 
 
 
 
 14 
 
 8813 
 
 8887 
 
 8960 
 
 9034 
 
 9107 
 
 9180 
 
 9254 
 
 9327 
 
 9401 
 
 9474 
 
 
 
 15 
 
 9547 
 
 9621 
 
 9694 
 
 9768 
 
 9841 
 
 991^ 
 
 9988 
 
 0061 
 
 0135 
 
 0208 
 
 
 
 16 
 
 7720282 
 
 0355 
 
 0428 
 
 0502 
 
 0575 
 
 0649 
 
 0722 
 
 0795 
 
 0869 
 
 0942 
 
 
 
 17 
 
 1016 
 
 1089 
 
 1162 
 
 1236 
 
 1309 
 
 1383 
 
 1456 
 
 1529 
 
 1603 
 
 1676 
 
 
 
 18 
 
 1750 
 
 1823 
 
 1896 
 
 1970 
 
 2043 
 
 2117 
 
 2190 
 
 2263 
 
 2337 
 
 2410 
 
 
 
 19 
 
 ■ 2483 
 
 2557 
 
 2630 
 
 2704 
 
 2777 
 
 2850 
 
 2924 
 
 2997 
 
 3070 
 
 3144 
 
 
 
 5920 
 
 3217 
 
 3290 
 
 3364 
 
 3437 
 
 3510 
 
 3584 
 
 3657 
 
 3731 
 
 3804 
 
 3877 
 
 
 
 21 
 
 3951 
 
 4024 
 
 4097 
 
 4171 
 
 4244 
 
 4317 
 
 4391 
 
 4464 
 
 4537 
 
 4611 
 
 
 
 22 
 
 4684 
 
 4757 
 
 4831 
 
 4904 
 
 4977 
 
 5051 
 
 5124 
 
 5197 
 
 5271 
 
 5344 
 
 
 
 23 
 
 5417 
 
 5491 
 
 5564 
 
 5637 
 
 5711 
 
 5784 
 
 5857 
 
 5931 
 
 6004 
 
 6077 
 
 
 
 24 
 
 6150 
 
 6224 
 
 6297 
 
 6370 
 
 6444 
 
 6517 
 
 6590 
 
 6664 
 
 6737 
 
 6810 
 
 
 
 25 
 
 6884 
 
 6957 
 
 7030 
 
 7103 
 
 7177 
 
 7250 
 
 7323 
 
 7397 
 
 7470 
 
 7543 
 
 
 
 26 
 
 7616 
 
 7690 
 
 7763 
 
 7836 
 
 7910 
 
 7983 
 
 8056 
 
 8129 
 
 8203 
 
 8276 
 
 
 
 27 
 
 8349 
 
 8423 
 
 8496 
 
 8569 
 
 8642 
 
 8716 
 
 8789 
 
 8862 
 
 8935 
 
 9009 
 
 
 
 28 
 
 9082 
 
 9155 
 
 9228 
 
 9302 
 
 9375 
 
 9448 
 
 9521 
 
 9595 
 
 9668 
 
 9741 
 
 
 
 29 
 
 9815 
 
 9888 
 
 9961 
 
 0034 
 
 0107 
 
 0181 
 
 0254 
 
 0327 
 
 0400 
 
 0474 
 
 
 
 5930 
 
 7730547 
 
 0620 
 
 0693 
 
 0767 
 
 0840 
 
 0913 
 
 0986 
 
 1060 
 
 1133 
 
 1206 
 
 
 
 31 
 
 1279 
 
 1352 
 
 1426 
 
 1499 
 
 1572 
 
 1645 
 
 1719 
 
 1792 
 
 1865 
 
 1938 
 
 
 
 32 
 
 2011 
 
 2085 
 
 2158 
 
 2231 
 
 2304 
 
 2377 
 
 2451 
 
 2524 
 
 2597 
 
 2670 
 
 
 
 33 
 
 2743 
 
 2817 
 
 2890 
 
 2963 
 
 3036 
 
 3109 
 
 3183 
 
 3256 
 
 3329 
 
 3402 
 
 
 
 34 
 
 3475 
 
 3549 
 
 3622 
 
 3695 
 
 3768 
 
 3841 
 
 3915 
 
 3988 
 
 4061 
 
 4134 
 
 
 
 35 
 
 4207 
 
 4280 
 
 4354 
 
 4427 
 
 4500 
 
 4573 
 
 4646 
 
 4719 
 
 4793 
 
 4866 
 
 
 
 36 
 
 4939 
 
 5012 
 
 5085 
 
 5158 
 
 5232 
 
 5305 
 
 5378 
 
 5451 
 
 5524 
 
 5597 
 
 
 
 37 
 
 5670 
 
 5744 
 
 5817 
 
 5890 
 
 5963 
 
 6036 
 
 6109 
 
 6183 
 
 6256 
 
 6329 
 
 
 
 38 
 
 6402 
 
 6475 
 
 6548 
 
 6621 
 
 6694 
 
 6768 
 
 6841 
 
 6914 
 
 6987 
 
 7060 
 
 
 
 39 
 
 7133 
 
 7206 
 
 7280 
 
 7353 
 
 7426 
 
 7499 
 
 7572 
 
 7645 
 
 7718 
 
 7791 
 
 
 
 5940 
 
 7864 
 
 7938 
 
 8011 
 
 8084 
 
 8157 
 
 8230 
 
 8303 
 
 8376 
 
 8449 
 
 8522 
 
 
 
 41 
 
 8596 
 
 8669 
 
 8742 
 
 8815 
 
 8888 
 
 8961 
 
 9034 
 
 9107 
 
 9180 
 
 9253 
 
 
 -. 
 
 42 
 
 9326 
 
 9400 
 
 9473 
 
 9546 
 
 9619 
 
 9692 
 
 9765 
 
 9838 
 
 9911 
 
 9984 
 
 
 73 
 
 43 
 
 7740057 
 
 0130 
 
 0203 
 
 0277 
 
 0350 
 
 0423 
 
 0496 
 
 0569 
 
 0642 
 
 0715 
 
 
 1 7 
 
 44 
 
 0788 
 
 0861 
 
 0934 
 
 1007 
 
 1080 
 
 1153 
 
 1226 
 
 1299 
 
 1372 
 
 1446 
 
 
 2 15 
 
 3 22 
 
 45 
 
 1519 
 
 1592 
 
 1665 
 
 1738 
 
 1811 
 
 1884 
 
 1957 
 
 2030 
 
 2103 
 
 2176 
 
 
 4 29 
 
 46 
 
 2249 
 
 2322 
 
 2395 
 
 2468 
 
 2541 
 
 2614 
 
 2687 
 
 2760 
 
 2833 
 
 2906 
 
 
 5 37 
 
 47 
 
 2979 
 
 3052 
 
 3125 
 
 3198 
 
 3271 
 
 3345 
 
 3418 
 
 3491 
 
 3564 
 
 3637 
 
 
 6 44 
 
 7 '^l 
 
 48 
 
 3710 
 
 3783 
 
 3856 
 
 3929 
 
 4002 
 
 4075 
 
 4148 
 
 4221 
 
 4294 
 
 4367 
 
 
 / 1 
 
 8 58 
 
 49 
 
 4440 
 
 4513 
 
 4586 
 
 4659 
 
 4732 
 
 4805 
 
 4878 
 
 4951 
 
 5024 
 
 5097 
 
 dJ 
 
 9 66 
 
 N. 
 
 
 
 1 
 
 2 . 
 
 s 
 
 4 
 
 ,5 
 
 6 
 
 7 8 1 
 
 9 1 
 
 
 Pts.j 
 
N.59500L. 774 of numbers. (105) 
 
 N. 
 
 
 
 1 
 
 ^ 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pro. 
 
 5950 
 
 7745170 
 
 5243 
 
 5316 
 
 5389 
 
 5462 
 
 5535 
 
 5608 
 
 5681 
 
 5754 
 
 5827 
 
 73 
 
 
 51 
 
 5900 
 
 5972 
 
 6045 
 
 6118 
 
 6191 
 
 6264 
 
 6337 
 
 6410 
 
 6483 
 
 6556 
 
 
 73 
 
 52 
 
 6629 
 
 6702 
 
 6775 
 
 6848 
 
 6921 
 
 6994 
 
 70o7 
 
 7140 
 
 7213 
 
 7286 
 
 
 1 
 
 7 
 
 53 
 
 7359 
 
 7432 
 
 7505 
 
 7578 
 
 7651 
 
 7724 
 
 7797 
 
 7869 
 
 7942 
 
 8015 
 
 
 2 
 3 
 4 
 
 15 
 22 
 29 
 
 54 
 
 8088 
 
 8161 
 
 8234 
 
 8307 
 
 8380 
 
 8453 
 
 8526 
 
 8599 
 
 8672 
 
 8745 
 
 
 55 
 
 8818 
 
 8891 
 
 8964 
 
 9036 
 
 9109 
 
 9182 
 
 9255 
 
 9328 
 
 9401 
 
 9^4 
 
 
 5 
 
 37 
 
 5^ 
 
 9547 
 
 •)620 
 
 9693 
 
 9766 
 
 9839 
 
 9911 
 
 9984 
 
 0057 
 
 0130 
 
 0203 
 
 
 6' 
 
 7 
 g 
 
 44 
 
 57 
 
 7750276 
 
 0349 
 
 0422 
 
 0495 
 
 0568 
 
 0641 
 
 0713 
 
 0786 
 
 0859 
 
 0932 
 
 
 51 
 58 
 
 58 
 
 1005 
 
 1078 
 
 1151 
 
 1224 
 
 1297 
 
 1369 
 
 1442 
 
 1515 
 
 1588 
 
 1661 
 
 
 9 
 
 66 
 
 59 
 
 1734 
 
 1807 
 
 1880 
 
 1952 
 
 2025 
 
 2098 
 
 2171 
 
 2244 
 
 2317 
 
 2390 
 
 
 
 5960 
 
 2463 
 
 2535 
 
 2608 
 
 2681 
 
 2754 
 
 2827 
 
 2900 
 
 2973 
 
 3046 
 
 3118 
 
 
 
 61 
 
 3191 
 
 3264 
 
 3337 
 
 3410 
 
 3483 
 
 3555 
 
 3628 
 
 3701 
 
 3774 
 
 3847 
 
 
 
 62 
 
 3920 
 
 3993 
 
 4065 
 
 4138 
 
 4211 
 
 4284 
 
 4357 
 
 4430 
 
 4502 
 
 4575 
 
 
 
 63 
 
 4648 
 
 4721 
 
 4794 
 
 4867 
 
 4939 
 
 5012 
 
 5085 
 
 5158 
 
 5231 
 
 5304 
 
 
 
 64 
 
 5376 
 
 5449 
 
 5522 
 
 5595 
 
 5668 
 
 5740 
 
 5813 
 
 5886 
 
 5959 
 
 '6032 
 
 
 
 65 
 
 6104 
 
 6177 
 
 6950 
 
 6323 
 
 6396 
 
 6469 
 
 6541 
 
 6614 
 
 6687 
 
 6760 
 
 
 
 66 
 
 6832 
 
 6905 
 
 6978 
 
 7051 
 
 7124 
 
 7196 
 
 7269 
 
 7342 
 
 7415 
 
 7488 
 
 
 
 67 
 
 7560 
 
 7633 
 
 7706 
 
 7779 
 
 7851 
 
 7924 
 
 7997 
 
 8070 
 
 8143 
 
 8215 
 
 
 
 68 
 
 8288 
 
 8361 
 
 8434 
 
 8506 
 
 8579 
 
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 8725 
 
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 8870 
 
 8943 
 
 
 
 60 
 
 9016 
 
 9089 
 
 9161 
 
 9234 
 
 9307 
 
 9380 
 
 9452 
 
 9525 
 
 9598 
 
 9671 
 
 
 
 5970 
 
 974-3 
 
 9816 
 
 9889 
 
 9962 
 
 0034 
 
 0107 
 
 0180 
 
 0253 
 
 0325 
 
 0398 
 
 
 
 71 
 
 7760471 
 
 0543 
 
 0616 
 
 0689 
 
 0762 
 
 0834 
 
 0907 
 
 0980 
 
 1053 
 
 1125 
 
 
 
 72 
 
 1198 
 
 1271 
 
 1343 
 
 1416 
 
 1489 
 
 1562 
 
 1634 
 
 1707 
 
 1780 
 
 1852 
 
 
 
 75 
 
 1925 
 
 1998 
 
 2071 
 
 2143 
 
 2216 
 
 2289 
 
 2361 
 
 2434 
 
 2507 
 
 2579 
 
 
 
 74 
 
 2652 
 
 2725 
 
 2798 
 
 2870 
 
 2943 
 
 3016 
 
 3088 
 
 3161 
 
 3234 
 
 3306 
 
 
 
 75 
 
 3379 
 
 3452 
 
 3524 
 
 3597 
 
 3670 
 
 3743 
 
 3815 
 
 3888 
 
 3961 
 
 4033 
 
 
 
 76 
 
 4106 
 
 4179 
 
 425 1 
 
 4324 
 
 4397 
 
 4469 
 
 4542 
 
 4615 
 
 4-687 
 
 4760 
 
 
 
 77 
 
 4833 
 
 4905 
 
 4978 
 
 5051 
 
 5123 
 
 5196 
 
 5269 
 
 5341 
 
 5414 
 
 5486 
 
 
 
 78 
 
 5559 
 
 5632 
 
 5704 
 
 5777 
 
 5850 
 
 5922 
 
 5995 
 
 6068 
 
 6140 
 
 6213 
 
 
 
 79 
 
 6286 
 
 6358 
 
 6431 
 
 6503 
 
 6576 
 
 6649 
 
 6721 
 
 6794 
 
 6867 
 
 6939 
 
 
 
 5980 
 
 7012 
 
 7 OS 4 
 
 7157 
 
 7230 
 
 7302 
 
 7375 
 
 7448 
 
 7520 
 
 7593 
 
 7665 
 
 
 
 81 
 
 7738 
 
 7811 
 
 7883 
 
 7956 
 
 8028 
 
 8101 
 
 8174 
 
 8246 
 
 8319 
 
 8391 
 
 
 
 82 
 
 8464 
 
 8537 
 
 8609 
 
 8682 
 
 8754 
 
 8827 
 
 8900 
 
 8972 
 
 9045 
 
 9117 
 
 
 
 83 
 
 %9190 
 
 9263 
 
 9335 
 
 9408 
 
 94S0 
 
 9553 
 
 9626 
 
 9698 
 
 9771 
 
 9843 
 
 
 
 84 
 
 9916 
 
 9988 
 
 003 1 
 
 0134 
 
 0206 
 
 0279 
 
 0351 
 
 0424 
 
 0496 
 
 0569 
 
 
 
 85 
 
 7770642 
 
 0714 
 
 0787 
 
 0859 
 
 0932 
 
 1004 
 
 1077 
 
 1149 
 
 1222 
 
 1295 
 
 
 
 86 
 
 1367 
 
 1440 
 
 I5I2 
 
 1585 
 
 1657 
 
 1730 
 
 1802 
 
 1875 
 
 1947 
 
 2020 
 
 
 
 87 
 
 2093 
 
 2165 
 
 2238 
 
 2310 
 
 2383 
 
 2455 
 
 2528 
 
 2600 
 
 2673 
 
 2745 
 
 
 
 88 
 
 2818 
 
 2890 
 
 2963 
 
 3035 
 
 3108 
 
 3181 
 
 3253 
 
 3326 
 
 3398 
 
 3471 
 
 
 
 89 
 
 3543 
 
 3616 
 
 3688 
 
 3761 
 
 3833 
 
 3906 
 
 3978 
 
 4051 
 
 4123 
 
 4196 
 
 
 
 5990 
 
 4268 
 
 4341 
 
 4413 
 
 4486 
 
 4558 
 
 4631 
 
 4703 
 
 4776 
 
 4848 
 
 4921 
 
 
 
 91 
 
 4993 
 
 5066 
 
 5138 
 
 5211 
 
 5283 
 
 5356 
 
 5428 
 
 5501 
 
 5573 
 
 5646 
 
 
 
 92 
 
 5718 
 
 5791 
 
 5863 
 
 5935 
 
 6008 
 
 6080 
 
 6153 
 
 6225 
 
 6298 
 
 6370 
 
 
 72 
 
 93 
 
 6413 
 
 6515 
 
 6588 
 
 6660 
 
 6733 
 
 6805 
 
 6878 
 
 6950 
 
 7022 
 
 7095 
 
 
 1 
 
 7 
 
 94 
 
 7167 
 
 7240 
 
 7312 
 
 7385 
 
 7457 
 
 7530 
 
 1^ 
 
 7602 
 
 7675 
 
 7747 
 
 7819 
 
 
 2 
 3 
 
 14 
 
 22 
 
 95 
 
 7892 
 
 7964 
 
 8037 
 
 8109 
 
 8182 
 
 8^54 
 
 8327 
 
 8399 
 
 8471 
 
 8544 
 
 
 4 
 
 29 
 
 96 
 
 8616 
 
 8689 
 
 8761 
 
 8834 
 
 8906 
 
 8978 
 
 9051 
 
 9123 
 
 9196 
 
 9268 
 
 
 5 
 
 36 
 
 97 
 
 9340 
 
 9413 
 
 9485 
 
 9558 
 
 9630 
 
 9703 
 
 9775 
 
 9847 
 
 9920 
 
 9992 
 
 
 6 
 
 7 
 8 
 
 43 
 
 50 
 
 58 
 
 98 
 
 7780065 
 
 0137 
 
 0209 
 
 0282 
 
 0354 
 
 0427 
 
 0499 
 
 0571 
 
 0644 
 
 0716 
 
 
 99 
 
 - ^"789 
 
 0861 
 i 
 
 0933 
 
 1006 
 
 ~3~ 
 
 1078 
 
 1151 
 
 5 
 
 1223 
 
 1295 
 7 
 
 1368 
 8 
 
 1440 
 
 9 
 
 ^ 
 
 9 
 
 65 
 
 N. 
 
 
 
 4 
 
 _6_ 
 
 
 ^ 
 
 o P 
 
(106') LOGARITHMS N. 60000 L. 77S 
 
 / 
 
 N. 
 
 6000 
 
 
 
 1 
 
 1585 
 
 2 
 1657 
 
 3 
 
 1730 
 
 4 
 
 1802 
 
 r 
 
 6 
 
 1947 
 
 7 
 
 2019 
 
 8 
 
 2092 
 
 9 
 
 2164 
 
 1) 
 
 Pro. 
 
 
 7781513 
 
 1874 
 
 
 01 
 
 2236 
 
 2309 
 
 2381 
 
 2453 
 
 2526 
 
 2598 
 
 2670 
 
 2743 
 
 2815 
 
 2888 
 
 
 73 
 
 
 02 
 
 2960 
 
 3032 
 
 3105 
 
 3177 
 
 3249 
 
 3322 
 
 3394 
 
 3466 
 
 3539 
 
 3611 
 
 
 I 7 
 
 
 03 
 
 3683 
 
 3756 
 
 3828 
 
 3900 
 
 3973 
 
 4045 
 
 4117 
 
 4190 
 
 4262 
 
 4335 
 
 
 2 15 
 
 3 22 
 
 4 29 
 
 
 01. 
 
 4407 
 
 4479 
 
 4552 
 
 4624 
 
 4696 
 
 4768 
 
 4841 
 
 4913 
 
 4985 
 
 5058 
 
 
 
 05 
 
 5130 
 
 5202 
 
 5275 
 
 5347 
 
 5419 
 
 5492 
 
 5564 
 
 5636 
 
 5709 
 
 5781 
 
 
 5 37 
 
 
 Ofi 
 
 5853 
 
 5926 
 
 5998 
 
 6070 
 
 6143 
 
 6215 
 
 6287 
 
 6359 
 
 6432 
 
 6504 
 
 
 6 44 
 
 7 51 
 
 8 58 
 
 
 07 
 
 6576 
 
 6649 
 
 6721 
 
 6793 
 
 6866 
 
 6938 
 
 7010 
 
 7082 
 
 7155 
 
 7227 
 
 
 
 08 
 
 7299 
 
 7372 
 
 7444 
 
 7516 
 
 7588 
 
 7661 
 
 7733 
 
 7805 
 
 7877 
 
 7950 
 
 
 9 6G 
 
 
 Oft 
 
 8022 
 
 8094 
 
 8167 
 
 8239 
 
 8311 
 
 8383 
 
 8456 
 
 8528 
 
 8600 
 
 8672 
 
 
 
 
 6010 
 
 8745 
 
 8817 
 
 8889 
 
 8962 
 
 9034 
 
 9106 
 
 9178 
 
 9251 
 
 9323 
 
 9395 
 
 
 
 
 11 
 
 9467 
 
 9540 
 
 9612 
 
 9684 
 
 9756 
 
 9829 
 
 9901 
 
 9973 
 
 0045 
 
 0117 
 
 
 
 
 12 
 
 7790190 
 
 0262 
 
 0334 
 
 0406 
 
 0479 
 
 0551 
 
 0623 
 
 0695 
 
 0768 
 
 0840 
 
 
 
 
 13 
 
 0912 
 
 0984 
 
 1056 
 
 1129 
 
 1201 
 
 1273 
 
 1345 
 
 1418 
 
 1490 
 
 1562 
 
 
 
 
 14 
 
 1634 
 
 1706 
 
 1779 
 
 1851 
 
 1923 
 
 1995 
 
 2067 
 
 2140 
 
 2212 
 
 2284 
 
 
 
 
 15 
 
 2356 
 
 2429 
 
 2501 
 
 2573 
 
 2645 
 
 2717 
 
 2790 
 
 2862 
 
 2934 
 
 3006 
 
 
 
 
 16 
 
 3078 
 
 3150 
 
 3223 
 
 3295 
 
 3367 
 
 3439 
 
 3511 
 
 3584 
 
 3656 
 
 3728 
 
 
 
 
 17 
 
 3800 
 
 3872 
 
 3944 
 
 4017 
 
 4089 
 
 4161 
 
 4233 
 
 4305 
 
 4377 
 
 4450 
 
 
 
 
 18 
 
 4522 
 
 4594 
 
 4666 
 
 4738 
 
 4810 
 
 4883 
 
 4955 
 
 5027 
 
 5099 
 
 5171 
 
 
 
 
 19 
 
 5243 
 
 5316 
 
 5388 
 
 5460 
 
 5532 
 
 5604 
 
 5676 
 
 5748 
 
 5821 
 
 5893 
 
 
 
 
 6020 
 
 5965 
 
 6037 
 
 6109 
 
 6181 
 
 6253 
 
 6326 
 
 6398 
 
 6470 
 
 6542 
 
 6614 
 
 
 
 
 21 
 
 6686 
 
 6758 
 
 6831 
 
 6903 
 
 6975 
 
 7047 
 
 7119 
 
 7191 
 
 7263 
 
 7335 
 
 
 
 
 22 
 
 7408 
 
 7480 
 
 7552 
 
 7624 
 
 7696 
 
 7768 
 
 7840 
 
 7912 
 
 7984 
 
 8057 
 
 
 
 
 28 
 
 8129 
 
 8201 
 
 8273 
 
 8345 
 
 8417 
 
 8489 
 
 8561 
 
 8633 
 
 8705 
 
 8778 
 
 
 
 
 24 
 
 8850 
 
 8922 
 
 8994 
 
 9066 
 
 9138 
 
 9210 
 
 9282 
 
 9354 
 
 9426 
 
 9498 
 
 
 
 
 25 
 
 9571 
 
 9643 
 
 9715 
 
 9787 
 
 9859 
 
 9931 
 
 (5003 
 
 0075 
 
 0147 
 
 0219 
 
 
 
 
 26 
 
 7800291 
 
 0363 
 
 0435 
 
 0507 
 
 0580 
 
 0652 
 
 0724 
 
 0796 
 
 0868 
 
 0940 
 
 
 
 
 27 
 
 1012 
 
 1084 
 
 1156 
 
 1228 
 
 1300 
 
 1372 
 
 1444 
 
 1516 
 
 1588 
 
 1660 
 
 
 
 
 28 
 
 1732 
 
 1804 
 
 1877 
 
 1949 
 
 2021 
 
 2093 
 
 2165 
 
 2237 
 
 2309 
 
 2381 
 
 
 
 
 29 
 
 2453 
 
 2525 
 
 2597 
 
 2669 
 
 2741 
 
 2813 
 
 2885 
 
 2957 
 
 3029 
 
 3101 
 
 
 
 
 6030 
 
 3173 
 
 3245 
 
 3317 
 
 3389 
 
 3461 
 
 3533 
 
 3605 
 
 3677 
 
 3749 
 
 3821 
 
 
 
 
 31 
 
 3893 
 
 3965 
 
 4037 
 
 4109 
 
 4181 
 
 4253 
 
 4325 
 
 4397 
 
 4469 
 
 4541 
 
 72 
 
 
 
 32 
 
 4613 
 
 4685 
 
 4757 
 
 4829 
 
 4901 
 
 4973 
 
 5045 
 
 5117 
 
 5189 
 
 5261 
 
 
 
 
 33 
 
 5333 
 
 5403 
 
 5477 
 
 5549 
 
 5621 
 
 5693 
 
 5765 
 
 5837 
 
 5909 
 
 5981 
 
 
 
 
 34 
 
 6053 
 
 6125 
 
 6197 
 
 6269 
 
 6341 
 
 6413 
 
 6485 
 
 6557 
 
 6629 
 
 6701 
 
 
 
 
 35 
 
 6773 
 
 6845 
 
 6917 
 
 6989 
 
 7061 
 
 7133 
 
 7204 
 
 7276 
 
 7348 
 
 7420 
 
 
 
 
 36 
 
 7492 
 
 7564 
 
 7636 
 
 7708 
 
 7780 
 
 7852 
 
 7924 
 
 7996 
 
 8068 
 
 SI 40 
 
 
 
 
 37 
 
 8212 
 
 8284 
 
 8356 
 
 8428 
 
 8500 
 
 8571 
 
 8643 
 
 8715 
 
 8787 
 
 8859 
 
 
 
 
 38 
 
 8931 
 
 9003 
 
 9075 
 
 9147 
 
 9219 
 
 9291 
 
 9363 
 
 9435 
 
 9506 
 
 9578 
 
 
 
 
 39 
 
 9650 
 
 9722 
 
 9794 
 
 9866 
 
 9938 
 
 Uoio 
 
 0082 
 
 0154 
 
 0226 
 
 0297 
 
 
 
 
 6040 
 
 7810369 
 
 0441 
 
 0513 
 
 0585 
 
 0657 
 
 0729 
 
 0801 
 
 0873 
 
 0945 
 
 1016 
 
 
 
 
 41 
 
 1088 
 
 1160 
 
 1232 
 
 1304 
 
 1376 
 
 1448 
 
 1520 
 
 1592 
 
 1663 
 
 1735 
 
 
 
 
 42 
 
 1807 
 
 1879 
 
 1951 
 
 2023 
 
 2095 
 
 2167 
 
 2238 
 
 2310 
 
 2382 
 
 2454 
 
 
 72 
 
 
 43 
 
 2526 
 
 2598 
 
 2670 
 
 2742 
 
 2813 
 
 2885 
 
 2957 
 
 3029 
 
 3101 
 
 3173 
 
 
 1 7 
 
 
 44 
 
 3245 
 
 3316 
 
 3388 
 
 3460 
 
 3532 
 
 3604 
 
 3676 
 
 3748 
 
 3819 
 
 3891 
 
 
 2 14 
 
 3 22 
 
 
 45 
 
 3963 
 
 4035 
 
 4107 
 
 4179 
 
 4250 
 
 4322 
 
 4394 
 
 4466 
 
 4538 
 
 4610 
 
 
 4 29 
 
 
 46 
 
 4681 
 
 4753 
 
 4825 
 
 4897 
 
 4969 
 
 5041 
 
 5112 
 
 5184 
 
 5256 
 
 5328 
 
 
 5 36 
 643 
 
 7 50 
 
 8 58 
 
 
 47 
 
 5400 
 
 5472 
 
 5543 
 
 ^5615 
 
 5687 
 
 5759 
 
 5831 
 
 5902 
 
 5974 
 
 6046 
 
 
 
 48 
 
 6118 
 
 6190 
 
 6261 
 
 6333 
 
 6405 
 
 6477 
 
 6549 
 
 6620 
 
 6692 
 
 6764 
 
 
 
 49 
 
 N. 
 
 6836 
 
 6908 
 1 
 
 6979 
 2 
 
 7051 
 
 7123 
 
 7195 
 5 
 
 7267 
 
 6 
 
 7338 
 
 7 
 
 7410 
 8 
 
 7482 
 
 D ] 
 
 9 65 
 
 
 
 
 3 4 II 
 
 .9 
 
 Pts. 
 
 
N.6'0500 L.781 OF numbers. (107) 
 
 N. 
 
 6050 
 
 
 
 1 
 
 7626 
 
 2 
 7697 
 
 3 
 
 4 
 
 7841 
 
 5 
 
 7913 
 
 6 
 
 7984 
 
 7 
 
 8056 
 
 8 
 
 8128 
 
 9 
 
 8200 
 
 D 
 
 Pro. 
 
 7817554 
 
 7769 
 
 51 
 
 8272 
 
 8343 
 
 8415 
 
 8487 
 
 8559 
 
 8630 
 
 8702 
 
 8774 
 
 8846 
 
 8917 
 
 
 72 
 
 52 
 
 8989 
 
 9061 
 
 9133 
 
 9204 
 
 9276 
 
 9348 
 
 9420 
 
 9491 
 
 9563 
 
 9635 
 
 
 1 7 
 
 53 
 
 9707 
 
 9778 
 
 9850 
 
 9922 
 
 9994 
 
 0065 
 
 0137 
 
 0209 
 
 0281 
 
 0352 
 
 
 2 14 
 
 3 22 
 
 4 29 
 
 54 
 
 7820424 
 
 0496 
 
 0568 
 
 0639 
 
 0711 
 
 0783 
 
 0855 
 
 0926 
 
 0998 
 
 1070 
 
 
 55 
 
 1141 
 
 1213 
 
 1285 
 
 1357 
 
 1428 
 
 1500 
 
 1572 
 
 1644 
 
 1715 
 
 1787 
 
 
 5 36 
 
 56 
 
 1859 
 
 1930 
 
 2002 
 
 2074 
 
 2146 
 
 2217 
 
 2289 
 
 2361 
 
 2432 
 
 2504 
 
 
 6 43 
 
 7 50 
 
 8 58 
 
 57 
 
 2576 
 
 2647 
 
 2719 
 
 2791 
 
 2863 
 
 2934 
 
 3006 
 
 3078 
 
 3149 
 
 3221 
 
 
 58 
 
 3293 
 
 3364 
 
 3436 
 
 3508 
 
 3579 
 
 3651 
 
 3723 
 
 3794 
 
 3866 
 
 3938 
 
 
 9 65 
 
 59 
 
 4010 
 
 4081 
 
 4153 
 
 4225 
 
 4296 
 
 4368 
 
 4440 
 
 4511 
 
 4583 
 
 4655 
 
 
 
 (5060 
 
 4726 
 
 4798 
 
 4870 
 
 4941 
 
 5013 
 
 5085 
 
 5156 
 
 5228 
 
 5300 
 
 5371 
 
 
 
 61 
 
 5443 
 
 5514 
 
 5586 
 
 5658 
 
 5729 
 
 5801 
 
 5873 
 
 5944 
 
 6016 
 
 6088 
 
 
 
 62 
 
 6159 
 
 623 1 
 
 6303 
 
 6374 
 
 6446 
 
 6518 
 
 6589 
 
 6661 
 
 6732 
 
 6804 
 
 
 
 63 
 
 6876 
 
 6947 
 
 7019 
 
 7091 
 
 7162 
 
 7234 
 
 7305 
 
 7377 
 
 7449 
 
 7520 
 
 
 
 64 
 
 7592 
 
 7664 
 
 7735 
 
 7807 
 
 7878 
 
 7950 
 
 8022 
 
 8093 
 
 8165 
 
 8236 
 
 
 
 65 
 
 8308 
 
 8380 
 
 8451 
 
 8523 
 
 8594 
 
 8666 
 
 8738 
 
 8809 
 
 8881 
 
 8952 
 
 
 
 66 
 
 9024 
 
 9096 
 
 9167 
 
 9239 
 
 9310 
 
 9382 
 
 9454 
 
 9525 
 
 9597 
 
 9668 
 
 
 
 67 
 
 9740 
 
 9812 
 
 9883 
 
 9955 
 
 0026 
 
 0098 
 
 0169 
 
 0241 
 
 0313 
 
 0384 
 
 
 
 68 
 
 7830456 
 
 0527 
 
 0599 
 
 0670 
 
 0742 
 
 0814 
 
 0885 
 
 0957 
 
 1028 
 
 1100 
 
 
 
 69 
 
 1171 
 
 1243 
 
 1314 
 
 1386 
 
 1458 
 
 1529 
 
 1601 
 
 1672 
 
 1744 
 
 1815 
 
 
 
 6070 
 
 1887 
 
 1958 
 
 2030 
 
 2102 
 
 2173 
 
 2245 
 
 2316 
 
 2388 
 
 2459 
 
 2531 
 
 
 
 71 
 
 2602 
 
 2674 
 
 2745 
 
 2817 
 
 2888 
 
 2960 
 
 3032 
 
 3103 
 
 3175 
 
 3246 
 
 
 
 72 
 
 3318 
 
 3389 
 
 3461 
 
 3532 
 
 3604 
 
 3675 
 
 3747 
 
 3818 
 
 3890 
 
 3961 
 
 
 
 73 
 
 4033 
 
 4104 
 
 4176 
 
 4247 
 
 4319 
 
 4390 
 
 4462 
 
 4533 
 
 4605 
 
 4676 
 
 
 
 74 
 
 4748 
 
 4819 
 
 4891 
 
 4962 
 
 5034 
 
 5105 
 
 5177 
 
 5248 
 
 5320 
 
 5391 
 
 
 
 75 
 
 5463 
 
 5534 
 
 5606 
 
 5677 
 
 5749 
 
 5820 
 
 5892 
 
 5963 
 
 6035 
 
 6106 
 
 
 
 76 
 
 6178 
 
 6249 
 
 6321 
 
 6392 
 
 6464 
 
 6535 
 
 6606 
 
 6678 
 
 6749 
 
 6821 
 
 
 
 77 
 
 6892 
 
 6964 
 
 7035 
 
 7107 
 
 7178 
 
 7250 
 
 7 321 
 
 7393 
 
 7464 
 
 7536 
 
 
 
 78 
 
 7607 
 
 7678 
 
 7750 
 
 7821 
 
 7893 
 
 7964 
 
 8036 
 
 8107 
 
 8179 
 
 8250 
 
 
 
 79 
 
 8321 
 
 8393 
 
 8464 
 
 8536 
 
 8607 
 
 8679 
 
 8750 
 
 8821 
 
 8893 
 
 8964 
 
 
 
 6080 
 
 9036 
 
 9107 
 
 9179 
 
 9250 
 
 9322 
 
 9393 
 
 9464 
 
 9536 
 
 9607 
 
 9679 
 
 
 
 81 
 
 9750 
 
 9821 
 
 9893 
 
 9964 
 
 0036 
 
 0107 
 
 0179 
 
 0250 
 
 0321 
 
 0393 
 
 
 
 82 
 
 7840464 
 
 0536 
 
 0607 
 
 0678 
 
 0750 
 
 0821 
 
 0893 
 
 0964 
 
 1035 
 
 1107 
 
 
 
 83 
 
 1178 
 
 1250 
 
 1321 
 
 1392 
 
 1464 
 
 1535 
 
 1607 
 
 1678 
 
 1749 
 
 1821 
 
 
 
 84 
 
 18*92 
 
 1-963 
 
 2035 
 
 2106 
 
 2178 
 
 2249 
 
 2320 
 
 2392 
 
 2463 
 
 2534 
 
 
 
 85 
 
 2606 
 
 2677 
 
 2749 
 
 2820 
 
 2891 
 
 2963 
 
 3034 
 
 3105 
 
 3177 
 
 3248 
 
 
 
 86 
 
 3319 
 
 3391 
 
 3462 
 
 3534 
 
 3605 
 
 3676 
 
 3748 
 
 3819 
 
 3890 
 
 3962 
 
 
 
 87 
 
 4033 
 
 4104 
 
 4170 
 
 4247 
 
 4318 
 
 4390 
 
 4461 
 
 4532 
 
 4604 
 
 4675 
 
 
 
 88 
 
 4746 
 
 4818 
 
 4889 
 
 4960 
 
 5032 
 
 5103 
 
 5174 
 
 5246 
 
 5317 
 
 5388 
 
 
 
 89 
 
 5460 
 
 5531 
 
 5602 
 
 5674 
 
 5745 
 
 5816 
 
 5888 
 
 5959 
 
 6030 
 
 6102 
 
 
 
 6090 
 
 6173 
 
 6244 
 
 6316 
 
 '6387 
 
 6458 
 
 6529 
 
 6601 
 
 6672 
 
 6743 
 
 6615 
 
 
 
 91 
 
 6886 
 
 6957 
 
 7029 
 
 7100 
 
 7171 
 
 7242 
 
 7314 
 
 7385 
 
 7456 
 
 7528 
 
 
 
 92 
 
 7599 
 
 7670 
 
 7742 
 
 7813 
 
 7884 
 
 7955 
 
 8027 
 
 8098 
 
 8169 
 
 8241 
 
 
 71 
 
 93 
 
 8312 
 
 8383 
 
 8454 
 
 8526 
 
 8597 
 
 8668 
 
 8739 
 
 8811 
 
 8882 
 
 8953 
 
 
 1 7 
 
 2 14 
 
 3 21 
 
 94 
 
 9024 
 
 9096 
 
 9167 
 
 9238 
 
 9310 
 
 9381 
 
 9452 
 
 9523 
 
 9595 
 
 9666 
 
 
 95 
 
 9737 
 
 9808 
 
 9880 
 
 9951 
 
 0022 
 
 0093 
 
 0165 
 
 0236 
 
 0307 
 
 0378 
 
 
 4 28 
 
 96 
 
 7850450 
 
 0521 
 
 0592 
 
 0663 
 
 0735 
 
 0806 
 
 0877 
 
 0948 
 
 1019 
 
 1091 
 
 
 5 36 
 
 6 43 
 
 7 50 
 
 97 
 
 1162 
 
 1233 
 
 1304 
 
 1376 
 
 1447 
 
 1518 
 
 1589 
 
 1661 
 
 1732 
 
 1803 
 
 
 98 
 
 ■ 1874 
 
 1945 
 
 2017 
 
 2088 
 
 2159 
 
 2230 
 
 2301 
 
 2373 
 
 2444 
 
 2515 
 
 
 8 57 
 
 99 
 
 N. 
 
 2586 
 
 2658 
 
 2729 
 2 
 
 2800 
 
 3 
 
 2871 
 
 4 
 
 2942 
 
 5 
 
 3014 
 
 6 
 
 3085 
 
 7 
 
 3156 
 8 
 
 3227 
 
 9 
 
 D 
 
 9 64 
 
 Pts. 
 
 
 
 1 
 
 o P o 
 
(108) LOGARITHMS N.6l00()L.785 
 
 N. 
 
 
 
 1 
 
 3370 
 
 2 
 3441 
 
 3 
 
 3512 
 
 4 
 
 3583 
 
 5 
 3654 
 
 6 
 
 7 
 
 3797 
 
 8 
 
 3868 
 
 9 
 
 3939 
 
 D 
 
 Pro. 
 
 6100 
 
 7853298 
 
 3726 
 
 01 
 
 4010 
 
 4081 
 
 4153 
 
 4224 
 
 4295 
 
 4366 
 
 4437 
 
 4509 
 
 4580 
 
 4651 
 
 
 72 
 
 02 
 
 4722 
 
 4793 
 
 4804 
 
 4.) 3 6 
 
 5007 
 
 5078 
 
 5149 
 
 5220 
 
 5291 
 
 5363 
 
 
 I 7 
 
 03 
 
 5434 
 
 5505 
 
 5576 
 
 5647 
 
 5718 
 
 5789 
 
 5861 
 
 5932 
 
 6003 
 
 6074 
 
 
 2 14 
 
 04 
 
 6145 
 
 6216 
 
 6288 
 
 6359 
 
 6430 
 
 6501 
 
 6572 
 
 6643 
 
 6714 
 
 6786 
 
 
 3 22 
 
 4 29 
 
 05 
 
 6857 
 
 6928 
 
 0999 
 
 7070 
 
 7141 
 
 7212 
 
 7283 
 
 7355 
 
 7426 
 
 7497 
 
 
 5 36 
 
 Oil 
 
 7^^68 
 
 7639 
 
 7710 
 
 7731 
 
 7852 
 
 7924 
 
 7995 
 
 8066 
 
 8137 
 
 8208 
 
 
 6 43 
 
 7 50 
 
 8 58 
 
 07 
 
 8279 
 
 8350 
 
 8421 
 
 8493 
 
 8564 
 
 S635 
 
 8706 
 
 8777 
 
 8848 
 
 8919 
 
 
 08 
 
 8990 
 
 i^O'i I 
 
 9132 
 
 9204 
 
 9275 
 
 9346 
 
 9417 
 
 9488 
 
 9559 
 
 9630 
 
 
 9 65 
 
 09 
 
 9701 
 
 e772 
 
 984^ 
 
 9915 
 
 9986 
 
 0057 
 
 0128 
 
 0199 
 
 0270 
 
 0341 
 
 
 
 6110 
 
 7860412 
 
 0483 
 
 0554 
 
 0625 
 
 0696 
 
 0767 
 
 0839 
 
 .0910 
 
 0981 
 
 1052 
 
 
 
 11 
 
 1123 
 
 1194 
 
 1265 
 
 133-3 
 
 1407 
 
 1478 
 
 1 549 
 
 1620 
 
 1691 
 
 1762 
 
 
 
 12 
 
 1 833 
 
 1905 
 
 1976 
 
 2047 
 
 2118 
 
 2189 
 
 2260 
 
 y.33l 
 
 2402 
 
 2473 
 
 
 
 13 
 
 25 M< 
 
 2615 
 
 ■2686 
 
 2757 
 
 2828 
 
 'i899 
 
 2970 
 
 3041 
 
 3112 
 
 3183 
 
 
 
 14 
 
 3254 
 
 3325 
 
 3396 
 
 3467 
 
 3538 
 
 3609 
 
 3681 
 
 3752 
 
 3823 
 
 3894 
 
 
 
 15 
 
 3965 
 
 4036 
 
 4107 
 
 4178 
 
 4249 
 
 4320 
 
 4391 
 
 4462 
 
 4533 
 
 4604 
 
 71 
 
 
 16 
 
 4675 
 
 4740 
 
 4817 
 
 4888 
 
 4959 
 
 5030 
 
 5101 
 
 5172 
 
 5243 
 
 5314 
 
 
 
 17 
 
 5385 
 
 5456 
 
 5527 
 
 5598 
 
 5069 
 
 5740 
 
 5811 
 
 5882 
 
 5953 
 
 6024 
 
 
 
 18 
 
 6095 
 
 6166 
 
 6237 
 
 6308 
 
 6379 
 
 6150 
 
 6521 
 
 6592 
 
 6663 
 
 6734 
 
 
 
 19 
 
 6805 
 
 6876 
 
 6946 
 
 7017 
 
 7088 
 
 7159 
 
 7230 
 
 7301 
 
 7372 
 
 7443 
 
 
 
 6120 
 
 7514 
 
 7585 
 
 7656 
 
 7727 
 
 7798 
 
 7869 
 
 7940 
 
 8011 
 
 8082 
 
 8153 
 
 
 
 21 
 
 8224 
 
 8295 
 
 8366 
 
 8437 
 
 8508 
 
 8579 
 
 8649 
 
 8720 
 
 8791 
 
 8862 
 
 
 
 22 
 
 8933 
 
 9004 
 
 9075 
 
 9146 
 
 9217 
 
 9288 
 
 9359 
 
 9430 
 
 9501 
 
 9572 
 
 
 
 23 
 
 9643 
 
 9714 
 
 9784 
 
 9855 
 
 9926 
 
 9997 
 
 0068 
 
 0139 
 
 0210 
 
 0281 
 
 
 
 24 
 
 7870352 
 
 0423 
 
 0494 
 
 0565 
 
 0635 
 
 0706 
 
 0777 
 
 0848 
 
 0919 
 
 0990 
 
 
 
 25 
 
 1061 
 
 1132 
 
 1203 
 
 1274 
 
 •1345 
 
 1415 
 
 1486 
 
 1557 
 
 1628 
 
 1699 
 
 
 
 26 
 
 1770 
 
 1841 
 
 1912 
 
 1983 
 
 2053 
 
 2124 
 
 2195 
 
 2266 
 
 2337 
 
 2408 
 
 
 
 27 
 
 2479 
 
 2550 
 
 2621 
 
 2691 
 
 2762 
 
 2833 
 
 2904 
 
 2975 
 
 3046 
 
 3117 
 
 
 
 28 
 
 3188 
 
 3258 
 
 3329 
 
 3400 
 
 3471 
 
 3542 
 
 3613 
 
 3684 
 
 3754 
 
 3825 
 
 
 
 29 
 
 3896 
 
 3967 
 
 4038 
 
 4109 
 
 4180 
 
 4250 
 
 4321 
 
 4392 
 
 4463 
 
 4534 
 
 
 
 6130 
 
 4605 
 
 4676 
 
 4746 
 
 4817 
 
 4888 
 
 4959 
 
 5030 
 
 5101 
 
 5171 
 
 5242 
 
 
 
 31 
 
 5313 
 
 5384 
 
 5455 
 
 5526 
 
 5596 
 
 5667 
 
 5738 
 
 5809 
 
 5880 
 
 5951 
 
 
 
 52 
 
 6021 
 
 6092 
 
 6163 
 
 6234 
 
 6305 
 
 6376 
 
 6446 
 
 6517 
 
 6588 
 
 6659 
 
 
 
 53 
 
 6730 
 
 6800 
 
 6871 
 
 6942 
 
 7013 
 
 7084 
 
 7155 
 
 7225 
 
 7296 
 
 7367 
 
 
 
 34 
 
 7438 
 
 7509 
 
 7579 
 
 7650 
 
 7721 
 
 7792 
 
 7863 
 
 7933 
 
 8004 
 
 8075 
 
 
 
 35 
 
 8146 
 
 8216 
 
 8287 
 
 8358 
 
 8429 
 
 8500 
 
 8570 
 
 8641 
 
 8712 
 
 8783 
 
 
 
 36 
 
 8854 
 
 S924 
 
 8995 
 
 9066 
 
 9137 
 
 9207 
 
 9278 
 
 9349 
 
 9420 
 
 9490 
 
 
 
 37 
 
 9561 
 
 9632 
 
 9703 
 
 9774 
 
 9844 
 
 9915 
 
 9986 
 
 0057 
 
 0127 
 
 0198 
 
 
 
 38 
 
 7880269 
 
 0340 
 
 0410 
 
 0481 
 
 0552 
 
 0623 
 
 0693 
 
 0764 
 
 0835 
 
 0906 
 
 
 
 39 
 
 0976 
 
 1047 
 
 1118 
 
 1189 
 
 1259 
 
 1330 
 
 1401 
 
 1472 
 
 1542 
 
 1613 
 
 
 
 6140 
 
 1684 
 
 1754 
 
 1825 
 
 1896 
 
 1967 
 
 2037 
 
 2108 
 
 2179 
 
 2250 
 
 2320 
 
 
 
 41 
 
 23 n 
 
 2462 
 
 2532 
 
 2603 
 
 2674 
 
 2745 
 
 2815 
 
 2886 
 
 2957 
 
 3027 
 
 
 
 42 
 
 3098 
 
 3169 
 
 3240 
 
 3310 
 
 3381 
 
 3452 
 
 3522 
 
 3593 
 
 3664 
 
 3734 
 
 
 71 
 
 43 
 
 3805 
 
 3876 
 
 3947 
 
 4017 
 
 4088 
 
 4159 
 
 4229 
 
 4300 
 
 4371 
 
 4441 
 
 
 1 7 
 
 44 
 
 4512 
 
 4583 
 
 4653 
 
 4724 
 
 4795 
 
 4865 
 
 4936 
 
 5007 
 
 5078 
 
 5148 
 
 
 2 14 
 
 3 21 
 
 45 
 
 5219 
 
 5290 
 
 5360 
 
 5431 
 
 5502 
 
 5572 
 
 5643 
 
 5714 
 
 5784 
 
 5855 
 
 
 4 28 
 
 4^ 
 
 5926 
 
 5996 
 
 6067 
 
 6138 
 
 6208 
 
 6279 
 
 6350 
 
 6420 
 
 6491 
 
 6561 
 
 
 5 36 
 
 47 
 
 6632 
 
 6703 
 
 6773 
 
 6844 
 
 6915 
 
 6985 
 
 7056 
 
 7127 
 
 7197 
 
 7268 
 
 
 6 43 
 
 7 50 
 
 8 57 
 
 48 
 
 7339 
 
 7409 
 
 7480 
 
 7551 
 
 7621 
 
 7692 
 
 7762 
 
 7833 
 
 7904 
 
 7974 
 
 
 49 
 
 N. 
 
 8045 
 
 8116 
 
 1 
 
 8186 
 
 2 
 
 8257 
 
 3 
 
 8327 
 
 4 
 
 8398 
 
 5 
 
 8469 
 
 ~6~ 
 
 8539 
 
 7 
 
 8610 
 8 
 
 8681 
 
 9 
 
 T) 
 
 9 64 
 
 Pts. 
 
 
 
N. 61 500 L. 788 of numbers. iU)9)\ 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pro. 
 
 (5150 
 
 7888751 
 
 8822 
 
 8892 
 
 8965 
 
 9034 
 
 9104 
 
 9175 
 
 9245 
 
 9316 
 
 9387 
 
 
 
 51 
 
 9457 
 
 9528 
 
 9598 
 
 9669 
 
 9740 
 
 9810 
 
 9881 
 
 9951 
 
 0022 
 
 0093 
 
 
 71 
 
 52 
 
 7890163 
 
 0234 
 
 0304 
 
 0375 
 
 0446 
 
 0516 
 
 0587 
 
 0657 
 
 0728 
 
 0799 
 
 
 1 7 
 
 53 
 
 0869 
 
 0940 
 
 1010 
 
 1081 
 
 1151 
 
 1222 
 
 1293 
 
 1363 
 
 1434 
 
 1504 
 
 
 2 14 
 
 3 21 
 
 4 28 
 
 54 
 
 1575 
 
 1645 
 
 1716 
 
 1787 
 
 1857 
 
 1928 
 
 1998 
 
 2069 
 
 2139 
 
 2210 
 
 
 55 
 
 2281 
 
 2351 
 
 2422 
 
 2492 
 
 2563 
 
 2633 
 
 2704 
 
 2774 
 
 2845 
 
 2916 
 
 
 6 36 
 
 56 
 
 2986 
 
 3057 
 
 3127 
 
 3198 
 
 3268 
 
 3339 
 
 3409 
 
 3480 
 
 3550 
 
 3621 
 
 
 6 43 
 
 7 50 
 
 8 57 
 
 51 
 
 3092 
 
 3762 
 
 3833 
 
 3903 
 
 3974 
 
 4044 
 
 4115 
 
 4185 
 
 4256 
 
 4326 
 
 
 58 
 
 4397 
 
 4467 
 
 4538 
 
 4608 
 
 4679 
 
 4749 
 
 4820 
 
 4890 
 
 4961 
 
 5032 
 
 
 9 64 
 
 59 
 
 5102 
 
 5173 
 
 5243 
 
 5314 
 
 5384 
 
 5455 
 
 5525 
 
 5596 
 
 5666 
 
 5737 
 
 
 
 6160 
 
 5807 
 
 5878 
 
 5948 
 
 6019 
 
 6089 
 
 6160 
 
 6230 
 
 6301 
 
 6371 
 
 6442 
 
 
 
 61 
 
 6512 
 
 6583 
 
 6653 
 
 u724 
 
 6794 
 
 6865 
 
 6935 
 
 7005 
 
 7076 
 
 7146 
 
 
 
 62 
 
 7217 
 
 7287 
 
 7358 
 
 7428 
 
 7499 
 
 7569 
 
 7640 
 
 7710 
 
 7781 
 
 7851 
 
 
 
 63 
 
 7922 
 
 7992 
 
 8063 
 
 8133 
 
 8204 
 
 8274 
 
 8344 
 
 8415 
 
 8485 
 
 8556 
 
 
 
 64. 
 
 8626 
 
 8697 
 
 8767 
 
 8838 
 
 8908 
 
 8979 
 
 9049 
 
 9119 
 
 9190 
 
 9260 
 
 
 
 65 
 
 9331 
 
 9401 
 
 9472 
 
 9542 
 
 9613 
 
 9683 
 
 9758 
 
 9824 
 
 9894 
 
 9965 
 
 
 
 66 
 
 7900035 
 
 0106 
 
 0176 
 
 0247 
 
 0317 
 
 0387 
 
 0458 
 
 0528 
 
 0599 
 
 0669 
 
 
 
 67 
 
 0739 
 
 0810 
 
 0880 
 
 0951 
 
 1021 
 
 1092 
 
 1162 
 
 1232 
 
 1303 
 
 1373 
 
 
 
 68 
 
 1444 
 
 1514 
 
 1584 
 
 1655 
 
 1725 
 
 1796 
 
 1866 
 
 1936 
 
 2007 
 
 2077 
 
 
 
 69 
 
 2148 
 
 2218 
 
 2288 
 
 2359 
 
 2429 
 
 2500 
 
 2570 
 
 2640 
 
 2711 
 
 2781 
 
 
 
 6170 
 
 2852 
 
 2922 
 
 2992 
 
 3063 
 
 3133 
 
 3204 
 
 3274 
 
 3344 
 
 3415 
 
 3485 
 
 
 
 71 
 
 3555 
 
 3626 
 
 3696 
 
 3767 
 
 3837 
 
 3907 
 
 3978 
 
 4048 
 
 4118 
 
 4189 
 
 
 
 72 
 
 4259 
 
 4330 
 
 4400 
 
 4470 
 
 4541 
 
 4611 
 
 4681 
 
 4752 
 
 4822 
 
 4892 
 
 
 
 73 
 
 4963 
 
 5033 
 
 5103 
 
 5174 
 
 5244 
 
 5315 
 
 5385 
 
 5455 
 
 5526 
 
 5596 
 
 
 
 74 
 
 5666 
 
 5737 
 
 5807 
 
 5877 
 
 5948 
 
 6018 
 
 6088 
 
 6159 
 
 6229 
 
 6299 
 
 
 
 75 
 
 6370 
 
 6440 
 
 6510 
 
 6581 
 
 6651 
 
 6721 
 
 6792 
 
 6S62 
 
 6932 
 
 7003 
 
 
 
 76 
 
 7073 
 
 7143 
 
 7214 
 
 7284 
 
 7354 
 
 7424 
 
 7495 
 
 7565 
 
 7635 
 
 7706 
 
 
 
 77 
 
 7776 
 
 7846 
 
 7917 
 
 7987 
 
 8057 
 
 8128 
 
 8198 
 
 8268 
 
 8338 
 
 8409. 
 
 
 
 78 
 
 8479 
 
 8549 
 
 8620 
 
 8690 
 
 8760 
 
 8831 
 
 8901 
 
 8971 
 
 9041 
 
 9112 
 
 
 
 79 
 
 9182 
 
 9252 
 
 9323 
 
 9393 
 
 9463 
 
 9533 
 
 9604 
 
 9674 
 
 9744 
 
 9814 
 
 
 
 6180 
 
 9885 
 
 9955 
 
 0025 
 
 0096 
 
 0166 
 
 0236 
 
 0306 
 
 0377 
 
 0447 
 
 0517 
 
 
 
 81 
 
 7910587 
 
 0658 
 
 0728 
 
 0798 
 
 0868 
 
 0939 
 
 1009 
 
 1079 
 
 1150 
 
 1220 
 
 
 
 82 
 
 1290 
 
 1360 
 
 1431 
 
 1501 
 
 1571 
 
 1641 
 
 1711 
 
 1782 
 
 1852 
 
 1922 
 
 
 
 83 
 
 1992 
 
 2063 
 
 2133 
 
 2203 
 
 2273 
 
 2344 
 
 2414 
 
 2484 
 
 2554 
 
 2625 
 
 
 
 84 
 
 2695 
 
 2765 
 
 2835 
 
 2905 
 
 2976 
 
 3046 
 
 3116 
 
 3186 
 
 3257 
 
 3327 
 
 
 
 85 
 
 3397 
 
 3467 
 
 3537 
 
 3608 
 
 3678 
 
 3748 
 
 3818 
 
 3889 
 
 3959 
 
 4029 
 
 
 
 ; 86 
 
 4099 
 
 4169 
 
 4240 
 
 4310 
 
 4380 
 
 4450 
 
 4520 
 
 4591 
 
 4661 
 
 4731 
 
 
 
 : 87 
 
 4801 
 
 4871 
 
 4942 
 
 5012 
 
 5082 
 
 5152 
 
 5222 
 
 5292 
 
 5363 
 
 5433 
 
 
 
 88 
 
 5503 
 
 5573 
 
 5643 
 
 5714 
 
 5784 
 
 5854 
 
 5924 
 
 5994 
 
 6064 
 
 6135 
 
 
 
 89 
 
 6205 
 
 6275 
 
 6345 
 
 6415 
 
 6486 
 
 6556 
 
 6626 
 
 6696 
 
 6766 
 
 6836 
 
 
 
 6190 
 
 6906 
 
 6977 
 
 7047 
 
 7117 
 
 7187 
 
 7257 
 
 7327 
 
 7398 
 
 7468 
 
 7538 
 
 
 
 91 
 
 7608 
 
 7678 
 
 7748 
 
 7818 
 
 7889 
 
 7959 
 
 8029 
 
 8099 
 
 8169 
 
 8239 
 
 
 \ 
 
 ' 92 
 
 8309 
 
 8380 
 
 8450 
 
 8520 
 
 8590 
 
 8660 
 
 8730 
 
 8800 
 
 8871 
 
 8941 
 
 
 70 
 
 93 
 
 9011 
 
 9081 
 
 9151 
 
 9221 
 
 9291 
 
 9361 
 
 9432 
 
 9502 
 
 9572 
 
 9642 
 
 
 ol4 
 
 94 
 
 9712 
 
 9782 
 
 9852 
 
 9922 
 
 9992 
 
 0063 
 
 0133 
 
 0203 
 
 0273 
 
 0343 
 
 
 2 '^ 
 3^1 
 
 95 
 
 7920413 
 
 0483 
 
 0553 
 
 0623 
 
 0694 
 
 0764 
 
 0834 
 
 0904 
 
 0974 
 
 1044 
 
 
 4 28 
 
 96 
 
 1114 
 
 1184 
 
 1254 
 
 1324 
 
 1394 
 
 1465 
 
 1535 
 
 1605 
 
 1675 
 
 1745 
 
 
 5 35 
 
 6 42 
 
 7 49 
 
 8 56 
 
 97 
 
 1815 
 
 1885 
 
 1955 
 
 2025 
 
 2095 
 
 2165 
 
 2235 
 
 2306 
 
 2376 
 
 2446 
 
 
 98 
 
 2516 
 
 2586 
 
 2656 
 
 2726 
 
 2796 
 
 2866 
 
 2936 
 
 3006 
 
 3076 
 
 3146 
 
 
 99 
 
 :N. 
 
 3216 
 
 3286 
 1 
 
 3356 
 
 3427 
 
 3497 
 
 4 
 
 3567 
 
 ~5~ 
 
 3637 
 6 
 
 3707 
 
 3777 
 
 3847 
 
 IT 
 
 D 
 
 9 63 
 
 Pts. 
 
 
 
 2 
 
 ~r 
 
 7 
 
 8 
 
(110) LOGARITHMS N. 62000 L. 792 
 
 N. 
 
 6200 
 
 
 
 1 
 
 3987 
 
 2 
 4057 
 
 3 
 
 4127 
 
 4 
 
 5 
 
 4267 
 
 6 
 
 4337 
 
 7 
 
 4407 
 
 8 
 
 4477 
 
 9 
 
 4547 
 
 D 
 
 Pro. 
 
 7923917 
 
 4197 
 
 01 
 
 4617 
 
 4687 
 
 4757 
 
 4827 
 
 4897 
 
 4967 
 
 5038 
 
 5108 
 
 5178 
 
 5248 
 
 
 71 
 
 02 
 
 5318 
 
 5388 
 
 5458 
 
 5528 
 
 5598 
 
 5668 
 
 5738 
 
 5808 
 
 5878 
 
 5948 
 
 
 1 
 
 7 
 
 03 
 
 6018 
 
 6088 
 
 6158 
 
 6228 
 
 6298 
 
 6368 
 
 6438 
 
 6508 
 
 6578 
 
 6648 
 
 70 
 
 2 
 
 14 
 
 04 
 
 6718 
 
 678S 
 
 6858 
 
 6928 
 
 6998 
 
 7068 
 
 7138 
 
 7208 
 
 7278 
 
 7348 
 
 
 3 
 4 
 
 21 
 
 28 
 
 05 
 
 7418 
 
 7488 
 
 7558 
 
 7628 
 
 7698 
 
 7768 
 
 7838 
 
 7908 
 
 7978 
 
 8048 
 
 
 6 
 
 36 
 
 06 
 
 8118 
 
 8188 
 
 8258 
 
 8328 
 
 8398 
 
 8468 
 
 8538 
 
 8608 
 
 8678 
 
 8747 
 
 
 6 
 
 43 
 
 07 
 
 8817 
 
 8887 
 
 8957 
 
 9027 
 
 9097 
 
 9167 
 
 9237 
 
 9307 
 
 9377 
 
 9447 
 
 
 7 
 
 Q 
 
 50 
 
 57 
 64 
 
 08 
 
 9517 
 
 9587 
 
 9657 
 
 9727 
 
 9797 
 
 9867 
 
 9937 
 
 0007 
 
 0077 
 
 0147 
 
 
 o 
 
 9 
 
 09 
 
 7930217 
 
 0287 
 
 0356 
 
 0426 
 
 0496 
 
 0566 
 
 0636 
 
 0706 
 
 0776 
 
 0846 
 
 
 
 6210 
 
 0916 
 
 0986 
 
 1056 
 
 1126 
 
 1196 
 
 1266 
 
 1336 
 
 1406 
 
 1475 
 
 1545 
 
 
 
 11 
 
 1615 
 
 1685 
 
 1755 
 
 1825 
 
 1895 
 
 1965 
 
 2035 
 
 2105 
 
 2175 
 
 2245 
 
 
 
 12 
 
 2314 
 
 2384 
 
 2454 
 
 2524 
 
 2594 
 
 2664 
 
 2734 
 
 2804 
 
 2874 
 
 2944 
 
 
 
 15 
 
 3014 
 
 3083 
 
 3153 
 
 3223 
 
 3293 
 
 3363 
 
 3433 
 
 3503 
 
 3573 
 
 3643 
 
 
 
 14 
 
 3712 
 
 3782 
 
 3852 
 
 3922 
 
 3992 
 
 4062 
 
 4132 
 
 4202 
 
 4272 
 
 4341 
 
 
 
 15 
 
 4411 
 
 4481 
 
 4551 
 
 4621 
 
 4691 
 
 4761 
 
 4831 
 
 4900 
 
 4970 
 
 5040 
 
 
 
 16 
 
 5110 
 
 5180 
 
 5250 
 
 5320 
 
 5390 
 
 5459 
 
 5529 
 
 5599 
 
 5669 
 
 5739 
 
 
 
 17 
 
 5809 
 
 5879 
 
 5948 
 
 6018 
 
 6088 
 
 6158 
 
 6228 
 
 6298 
 
 6367 
 
 6437 
 
 
 
 18 
 
 6507 
 
 6577 
 
 6647 
 
 6717 
 
 6787 
 
 6856 
 
 6926 
 
 6996 
 
 7066 
 
 7136 
 
 
 
 19 
 
 7206 
 
 7275 
 
 7345 
 
 7415 
 
 7485 
 
 75.^5 
 
 7625 
 
 7694 
 
 7764 
 
 7834 
 
 
 
 6220 
 
 7904 
 
 7974 
 
 8043 
 
 8113 
 
 8183 
 
 8253 
 
 8323 
 
 8393 
 
 8462 
 
 8532 
 
 
 
 21 
 
 8602 
 
 8672 
 
 8742 
 
 8811 
 
 8881 
 
 8951 
 
 9021 
 
 9091 
 
 9160 
 
 9230 
 
 
 
 22 
 
 9300 
 
 9370 
 
 9440 
 
 9509 
 
 9579 
 
 9649 
 
 9719 
 
 9789 
 
 9858 
 
 9928 
 
 
 
 23 
 
 9998 
 
 n068 
 
 0138 
 
 0207 
 
 0277 
 
 0347 
 
 0417 
 
 0487 
 
 0556 
 
 0626 
 
 
 
 24 
 
 7940696 
 
 0766 
 
 0835 
 
 0905 
 
 0975 
 
 1045 
 
 1114 
 
 1184 
 
 1254 
 
 1324 
 
 
 
 25 
 
 1394 
 
 1463 
 
 1533 
 
 1603 
 
 ■1673 
 
 1742 
 
 1812 
 
 1882 
 
 1952 
 
 2021 
 
 
 
 26 
 
 2091 
 
 2161 
 
 2231 
 
 2300 
 
 2370 
 
 2440 
 
 2510 
 
 2579 
 
 2649 
 
 2719 
 
 
 
 27 
 
 2789 
 
 2858 
 
 2928 
 
 2998 
 
 3068 
 
 3137 
 
 3207 
 
 3277 
 
 3347 
 
 3416 
 
 
 
 28 
 
 3486 
 
 3556 
 
 3626 
 
 3695 
 
 3765 
 
 3835 
 
 3904 
 
 3974 
 
 4044 
 
 4114 
 
 
 
 29 
 
 4183 
 
 4253 
 
 4323 
 
 4392 
 
 4462 
 
 4532 
 
 4602 
 
 4671 
 
 4741 
 
 4811 
 
 
 
 6230 
 
 4880 
 
 4950 
 
 5020 
 
 5090 
 
 5159 
 
 5229 
 
 5299 
 
 5368 
 
 5438 
 
 5508 
 
 
 
 31 
 
 5578 
 
 5647 
 
 5717 
 
 5787 
 
 5856 
 
 5926 
 
 5996 
 
 6065 
 
 6135 
 
 6205 
 
 
 
 32 
 
 6274 
 
 6344 
 
 6414 
 
 6484 
 
 6553 
 
 6623 
 
 6693 
 
 6762 
 
 6832 
 
 6902 
 
 
 
 33 
 
 6971 
 
 7041 
 
 7111 
 
 7180 
 
 7250 
 
 7320 
 
 7389 
 
 7459 
 
 7529 
 
 7598 
 
 
 
 34 
 
 7668 
 
 7738 
 
 7807 
 
 7877 
 
 7947 
 
 8016 
 
 8086 
 
 8156 
 
 8225 
 
 8295 
 
 
 
 S5 
 
 8365 
 
 8434 
 
 8504 
 
 8574 
 
 8643 
 
 8713 
 
 8782 
 
 8852 
 
 8922 
 
 8991 
 
 
 
 36 
 
 9061 
 
 9131 
 
 9200 
 
 9270 
 
 9340 
 
 9409 
 
 9479 
 
 9549 
 
 9618 
 
 9688 
 
 
 
 57 
 
 9757 
 
 9827 
 
 9897 
 
 9966 
 
 0036 
 
 0106 
 
 0175 
 
 0245 
 
 0314 
 
 0384 
 
 
 
 38 
 
 7950454 
 
 0523 
 
 0593 
 
 0663 
 
 0732 
 
 0802 
 
 0871 
 
 0941 
 
 1011 
 
 1080 
 
 
 
 39 
 
 1150 
 
 1219 
 
 1289 
 
 1359 
 
 1428 
 
 1498 
 
 1567 
 
 1637 
 
 1707 
 
 1776 
 
 
 
 6240 
 
 1846 
 
 1915 
 
 1985 
 
 2055 
 
 2124 
 
 2194 
 
 2263 
 
 2333 
 
 2403 
 
 2472 
 
 
 
 41 
 
 2542 
 
 2611 
 
 2681 
 
 2751 
 
 2820 
 
 2890 
 
 2959 
 
 3029 
 
 3098 
 
 3168 
 
 
 
 42 
 
 3238 
 
 3307 
 
 3377 
 
 3446 
 
 3516 
 
 3586 
 
 3655 
 
 3725 
 
 3794 
 
 3864 
 
 
 70 
 
 43 
 
 3933 
 
 4003 
 
 4072 
 
 4142 
 
 4212 
 
 4281 
 
 4351 
 
 4420 
 
 4490 
 
 4559 
 
 
 1| 7 
 
 44 
 
 4629 
 
 4698 
 
 4768 
 
 4838 
 
 4907 
 
 4977 
 
 5046 
 
 5116 
 
 5185 
 
 5255 
 
 
 2,14 
 321 
 
 45 
 
 5324 
 
 5394 
 
 5464 
 
 5533 
 
 5603 
 
 5672 
 
 5742 
 
 5811 
 
 5881 
 
 5950 
 
 
 4;28 
 
 46 
 
 6020 
 
 6089 
 
 6159 
 
 6228 
 
 6298 
 
 6367 
 
 6437 
 
 6506 
 
 6576 
 
 6646 
 
 
 535 
 
 47 
 
 6715 
 
 6785 
 
 6854 
 
 6924 
 
 6993 
 
 7063 
 
 7132 
 
 7202 
 
 7271 
 
 7341 
 
 
 6 42 
 
 7 49 
 
 48 
 
 7410 
 
 7480 
 
 7549 
 
 7619 
 
 7688 
 
 7758 
 
 7827 
 
 7897 
 
 7966 
 
 8036 
 
 
 8 56 
 
 49 
 
 8105 
 
 8175 
 1 
 
 8244 
 2 
 
 8314 
 
 3 
 
 8383 
 
 4 
 
 8453 
 5 
 
 8522 
 
 6 
 
 8592 
 
 7 
 
 8661 
 8 
 
 8731 
 
 9 
 
 1) 
 
 9 63 
 Pts. 
 
 
 
N. 6^500 L.795 OF .NUMBERS. (Ill) 
 
 N. 
 
 6250 
 
 
 
 1 
 
 887C 
 
 2 
 
 8939 
 
 3 
 
 9009 
 
 4 
 
 9078 
 
 5 
 
 9148 
 
 6 
 
 9217 
 
 7 
 
 9287 
 
 1' 
 
 9356 
 
 9 
 
 9426 
 
 1) 
 
 Pro. 
 
 7958800 
 
 51 
 
 9495 
 
 9564 
 
 ^ 9634 
 
 9703 
 
 9773 
 
 9842 
 
 9912 
 
 9981 
 
 0051 
 
 0120 
 
 
 70 
 
 52 
 
 796019G 
 
 0259 
 
 0329 
 
 0398 
 
 0468 
 
 0537 
 
 0606 
 
 0676 
 
 0745 
 
 0815 
 
 
 1 7 
 
 53 
 
 0884 
 
 0954 
 
 . 1023 
 
 1093 
 
 1162 
 
 1232 
 
 1301 
 
 1370 
 
 1440 
 
 1509 
 
 
 2 14 
 321 
 
 4 28 
 
 54 
 
 1579 
 
 1648 
 
 1718 
 
 1787 
 
 1857 
 
 1926 
 
 1995 
 
 2065 
 
 2134 
 
 2204 
 
 
 55 
 
 2273 
 
 2343 
 
 2412 
 
 2481 
 
 2551 
 
 2620 
 
 2690 
 
 2759 
 
 2829 
 
 2898 
 
 
 5 35 
 
 56 
 
 2967 
 
 3037 
 
 3106 
 
 3176 
 
 3245 
 
 3314 
 
 3384 
 
 3453 
 
 3523 
 
 3592 
 
 
 6 42 
 
 7 49 
 
 8 56 
 
 57 
 
 3662 
 
 3731 
 
 3800 
 
 3870 
 
 3939 
 
 4009 
 
 4078 
 
 4147 
 
 4217 
 
 4286 
 
 
 58 
 
 4356 
 
 4425 
 
 4494 
 
 4564 
 
 4633 
 
 4703 
 
 4772 
 
 4841 
 
 4911 
 
 4980 
 
 
 9 63 
 
 59 
 
 5050 
 
 5119 
 
 5188 
 
 5258 
 
 5327 
 
 5396 
 
 5466 
 
 5535 
 
 5605 
 
 5674 
 
 
 
 6260 
 
 5743 
 
 5813 
 
 5882 
 
 5951 
 
 6021 
 
 6090 
 
 6160 
 
 6229 
 
 6298 
 
 6368 
 
 
 
 61 
 
 6437 
 
 6506 
 
 6576 
 
 6645 
 
 6714 
 
 6784 
 
 6853 
 
 6923 
 
 6992 
 
 7061 
 
 
 
 62 
 
 7131 
 
 7200 
 
 7269 
 
 7339 
 
 7408 
 
 7477 
 
 7547 
 
 7616 
 
 7685 
 
 7755 
 
 
 
 63 
 
 7824 
 
 7893 
 
 7963 
 
 8032 
 
 8101 
 
 8171 
 
 8240 
 
 8309 
 
 8379 
 
 8448 
 
 
 
 64 
 
 8517 
 
 8587 
 
 8656 
 
 8725 
 
 8795 
 
 8864 
 
 8933 
 
 9003 
 
 9072 
 
 9141 
 
 
 
 65 
 
 9211 
 
 9280 
 
 9349 
 
 9419 
 
 9488 
 
 9557 
 
 9627 
 
 9696 
 
 9765 
 
 9835 
 
 
 
 66 
 
 9904 
 
 9973 
 
 S043 
 
 0112 
 
 0181 
 
 0250 
 
 0320 
 
 0389 
 
 0458 
 
 0528 
 
 
 
 67 
 
 7970597 
 
 0666 
 
 0736 
 
 0805 
 
 0874 
 
 0943 
 
 1013 
 
 1082 
 
 1151 
 
 1221 
 
 
 
 68 
 
 1290 
 
 1359 
 
 1428 
 
 1498 
 
 1567 
 
 1636 
 
 1706 
 
 1775 
 
 1844 
 
 1913 
 
 
 
 69 
 
 1983 
 
 2052 
 
 2121 
 
 2191 
 
 2260 
 
 2329 
 
 2398 
 
 2468 
 
 2537 
 
 2606 
 
 
 
 6270 
 
 2675 
 
 2745 
 
 2814 
 
 2883 
 
 2952 
 
 3022 
 
 3091 
 
 3160 
 
 3229 
 
 3299 
 
 
 
 71 
 
 3368 
 
 3437 
 
 3507 
 
 3576 
 
 3645 
 
 3714 
 
 3784 
 
 3853 
 
 3922 
 
 3991 
 
 
 
 72 
 
 4060 
 
 4130 
 
 4199 
 
 4268 
 
 4337 
 
 4407 
 
 4476 
 
 4545 
 
 4614 
 
 4684 
 
 
 
 73 
 
 4753 
 
 4822 
 
 4891 
 
 4961 
 
 5030 
 
 5099 
 
 5168 
 
 5237 
 
 5307 
 
 5376 
 
 
 
 74 
 
 5445 
 
 5514 
 
 5584 
 
 5653 
 
 5722 
 
 5791 
 
 5860 
 
 5930 
 
 5999 
 
 6068 
 
 
 
 75 
 
 6137 
 
 6207 
 
 6276 
 
 6345 
 
 6414 
 
 64S3 
 
 6553 
 
 6622 
 
 6691 
 
 6760 
 
 
 
 76 
 
 6829 
 
 6899 
 
 6968 
 
 7037 
 
 7106 
 
 7175 
 
 7245 
 
 7314 
 
 7383 
 
 7452 
 
 
 
 77 
 
 7.521 
 
 7590 
 
 7660 
 
 7729 
 
 7798 
 
 7867 
 
 7936 
 
 8006 
 
 8075 
 
 8144 
 
 
 
 78 
 
 8213 
 
 8282 
 
 8351 
 
 8421 
 
 8490 
 
 8559 
 
 8628 
 
 8697 
 
 8766 
 
 8836 
 
 
 
 79 
 
 8905 
 
 8974 
 
 9043 
 
 9112 
 
 9181 
 
 9251 
 
 9320 
 
 9389 
 
 9458 
 
 9527 
 
 
 
 6280 
 
 9596 
 
 9666 
 
 9735 
 
 9804 
 
 9873 
 
 9942 
 
 0011 
 
 0080 
 
 0150 
 
 0219 
 
 
 
 81 
 
 7980288 
 
 0357 
 
 0426 
 
 0495 
 
 0565 
 
 0634 
 
 0703 
 
 0772 
 
 0841 
 
 0910 
 
 
 
 82 
 
 0979 
 
 1048 
 
 1118 
 
 1187 
 
 1256 
 
 1325 
 
 1394 
 
 1463 
 
 1532 
 
 1601 
 
 
 
 83 
 
 1671 
 
 1740 
 
 1809 
 
 1878 
 
 1947 
 
 2016 
 
 2085 
 
 2154 
 
 2224 
 
 2293 
 
 
 
 84 
 
 2362 
 
 2431 
 
 2500 
 
 2569 
 
 2638 
 
 2707 
 
 2776 
 
 2846 
 
 2915 
 
 2984 
 
 
 
 85 
 
 3053 
 
 3122 
 
 3191 
 
 3260 
 
 3329 
 
 3398 
 
 3467 
 
 3536 
 
 3606 
 
 3675 
 
 
 
 86 
 
 3744 
 
 3813 
 
 3882 
 
 3951 
 
 4020 
 
 4089 
 
 4158 
 
 4227 
 
 4296 
 
 4366 
 
 
 
 87 
 
 4435 
 
 4504 
 
 4573 
 
 4642 
 
 4711 
 
 4780 
 
 4849 
 
 4918 
 
 4987 
 
 5056 
 
 
 
 88 
 
 5125 
 
 5194 
 
 5263 
 
 5333 
 
 5402 
 
 5471 
 
 5540 
 
 5609 
 
 5678 
 
 5747 
 
 
 
 89 
 
 5816 
 
 5885 
 
 5954 
 
 6023 
 
 6092 
 
 6161 
 
 6230 
 
 6299 
 
 6368 
 
 6437 
 
 
 
 6290 
 
 6506 
 
 6575 
 
 6645 
 
 6714 
 
 6783 
 
 6852 
 
 6921 
 
 6990 
 
 7059 
 
 7128 
 
 
 
 91 
 
 7197 
 
 7266 
 
 7335 
 
 7404 
 
 7473 
 
 7542 
 
 7611 
 
 7680 
 
 7749 
 
 7818 
 
 
 
 92 
 
 7887 
 
 7956 
 
 8025 
 
 8094 
 
 8163 
 
 8232 
 
 8301 
 
 8370 
 
 8439 
 
 8508 
 
 
 69 
 
 93 
 
 8577 
 
 8646 
 
 8715 
 
 8784 
 
 8853 
 
 8922 
 
 8991 
 
 9060 
 
 9129 
 
 9198 
 
 
 1 7 
 
 94 
 
 9267 
 
 9336 
 
 9405 
 
 9474 
 
 9543 
 
 9612 
 
 9681 
 
 9750 
 
 9819 
 
 9888 
 
 69 
 
 2 14 
 
 321 
 
 95 
 
 9957 
 
 5026 
 
 0095 
 
 0164 
 
 0233 
 
 0302 
 
 0371 
 
 0440 
 
 3509 
 
 0578 
 
 
 4 28 
 
 96 
 
 7990647 
 
 0716 
 
 0785 
 
 0854 
 
 0923 
 
 0992 
 
 1061 
 
 1130 
 
 1199 
 
 126,8 
 
 
 5 35 
 
 '97 
 
 1337 
 
 1406 
 
 1475 
 
 1544 
 
 1613 
 
 1682 
 
 1751 
 
 1820 
 
 1889 
 
 1958 
 
 
 641 
 
 7 48 
 
 8 55 
 
 98 
 
 2027 
 
 2096 
 
 2164 
 
 2233 
 
 2302 
 
 2371 
 
 2440 
 
 2509 i 
 
 2578 
 
 2647 
 
 
 99 
 
 N. 
 
 2716 
 
 2785 
 1 
 
 2854 
 
 2 
 
 2923 
 
 3 
 
 2992 
 
 4 
 
 3061 
 
 5 
 
 3130 
 
 6 
 
 3199 . 
 
 3268 . 
 
 3337 
 
 .9 
 
 
 9 62 
 
 
 
 ~Y" 
 
 8 
 
 T> 
 
 Pts. 
 
(112) LOGARITHMS N. 63000 L. 799\ 
 
 N. 
 
 
 
 1 
 
 3474 
 
 3543 
 
 3 
 
 3612 
 
 4 
 
 3681 
 
 5 
 
 3750 
 
 6 
 
 3819 
 
 7 
 
 3888 
 
 8 
 3957 
 
 9 
 
 4026 
 
 D 
 
 Pro. 
 
 6300 
 
 7993405 
 
 
 01 
 
 4095 
 
 4164 
 
 4233 
 
 4302 
 
 4370 
 
 4439 
 
 4508 
 
 4577 
 
 4646 
 
 4715 
 
 
 69 
 
 02 
 
 4784 
 
 4853 
 
 4922 
 
 4991 
 
 5060 
 
 5129 
 
 5197 
 
 5266 
 
 5335 
 
 5404 
 
 
 1 
 
 7 
 
 03 
 
 5473 
 
 5542 
 
 5611 
 
 5680 
 
 5749 
 
 5818 
 
 5886 
 
 5955 
 
 6024 
 
 6093 
 
 
 2 
 
 14 
 
 04 
 
 6162 
 
 6231 
 
 6300 
 
 6369 
 
 6438 
 
 6506 
 
 6575 
 
 6644 
 
 6713 
 
 6782 
 
 
 3 
 4 
 
 21 
 
 28 
 
 05 
 
 6851 
 
 6920 
 
 6989 
 
 7058 
 
 7126 
 
 7195 
 
 7264 
 
 7333 
 
 7402 
 
 7471 
 
 
 5 
 
 35 
 
 06 
 
 7540 
 
 7609 
 
 7677' 
 
 7746 
 
 7815 
 
 7884 
 
 7953 
 
 8022 
 
 8091 
 
 8159 
 
 
 6 
 
 7 
 g 
 
 41 
 48 
 55 
 
 07 
 
 8228 
 
 8297 
 
 8366 
 
 8435 
 
 8504 
 
 8573* 
 
 8641 
 
 8710 
 
 8779 
 
 8848 
 
 
 08 
 
 8917 
 
 8986 
 
 9055 
 
 9123 
 
 9192 
 
 9261 
 
 9330 
 
 9399 
 
 9468 
 
 9536 
 
 
 9 
 
 6'2 
 
 09 
 
 9605 
 
 9674 
 
 9743 
 
 9812 
 
 9881 
 
 9949 
 
 0018 
 
 0087 
 
 0156 
 
 0225 
 
 
 
 6310 
 
 8000294 
 
 0362 
 
 0431 
 
 0500 
 
 0569 
 
 0638 
 
 0707 
 
 0775 
 
 0844 
 
 0913 
 
 
 
 11 
 
 0982 
 
 1051 
 
 1119 
 
 1188 
 
 1257 
 
 1326 
 
 1395 
 
 1463 
 
 1532 
 
 1601 
 
 
 
 12 
 
 1670 
 
 1739 
 
 1808 
 
 1876 
 
 1945 
 
 2014 
 
 2083 
 
 2152 
 
 2220 
 
 2289 
 
 
 
 13 
 
 2358 
 
 2427 
 
 2495 
 
 2564 
 
 2633 
 
 2702 
 
 2771 
 
 2839 
 
 2908 
 
 2977 
 
 
 
 14 
 
 3046 
 
 3115 
 
 3183 
 
 3252 
 
 3321 
 
 3390 
 
 3458 
 
 3527 
 
 3596 
 
 3665 
 
 
 
 15 
 
 3734 
 
 3802 
 
 3871 
 
 3940 4009 
 
 4077 
 
 4146 
 
 4215 
 
 4284 
 
 4352 
 
 
 
 16 
 
 4421 
 
 4490 
 
 4559 
 
 4627 
 
 4696 
 
 4765 
 
 4834 
 
 4903 
 
 4971 
 
 5040 
 
 
 
 17 
 
 5109 
 
 5178 
 
 5246 
 
 5315 
 
 5384 
 
 5453 
 
 5521 
 
 5590 
 
 5659 
 
 5727 
 
 
 
 18 
 
 5796 
 
 5865 
 
 5934 
 
 6002 
 
 6071 
 
 6140 
 
 6209 
 
 6277 
 
 6346 
 
 6415 
 
 
 
 19 
 
 6484 
 
 6552 
 
 6621 
 
 6690 
 
 6758 
 
 6827 
 
 6896 
 
 6965 
 
 7033 
 
 7102 
 
 
 
 6320 
 
 7171 
 
 7239 
 
 7308 
 
 7377 
 
 7446 
 
 7514 
 
 7583 
 
 7652 
 
 7720 
 
 7789 
 
 
 
 21 
 
 7858 
 
 7927 
 
 7995 
 
 8064 
 
 8133 
 
 8201 
 
 8270 
 
 8339 
 
 8408 
 
 8476 
 
 
 
 22 
 
 8545 
 
 8614 
 
 8682 
 
 8751 
 
 8820 
 
 8388 
 
 8957 
 
 9026 
 
 9094 
 
 9163 
 
 
 
 23 
 
 9232 
 
 9301 
 
 9369 
 
 9438 
 
 9507 
 
 9575 
 
 9644 
 
 9713 
 
 9781 
 
 9850 
 
 
 
 24 
 
 9919 
 
 9987 
 
 0056 
 
 0125 
 
 0193 
 
 0262 
 
 0331 
 
 0399 
 
 0468 
 
 0537 
 
 
 
 25 
 
 80106c!5 
 
 0674 
 
 0743 
 
 0811 
 
 0880 
 
 0949 
 
 1017 
 
 1086 
 
 1155 
 
 1223 
 
 
 
 26 
 
 1292 
 
 1361 
 
 1429 
 
 1498 
 
 1566 
 
 1635 
 
 1704 
 
 1772 
 
 1841 
 
 1910 
 
 
 
 27 
 
 1978 
 
 2047 
 
 2116 
 
 2184 
 
 2253 
 
 2322 
 
 2390 
 
 2459 
 
 2527 
 
 2596 
 
 
 
 28 
 
 2665 
 
 2733 
 
 2802 
 
 2871 
 
 2939 
 
 3008 
 
 3076 
 
 3145 
 
 3214 
 
 3282 
 
 
 
 29 
 
 3351 
 
 3420 
 
 3488 
 
 3557 
 
 3625 
 
 3694 
 
 3763 
 
 3831 
 
 3900 
 
 3968 
 
 
 
 6330 
 
 4037 
 
 4106 
 
 4174 
 
 4243 
 
 4312 
 
 4380 
 
 4449 
 
 4517 
 
 4586 
 
 4655 
 
 
 
 31 
 
 4723 
 
 4792 
 
 4860 
 
 4929 
 
 4998 
 
 5066 
 
 5135 
 
 5203 
 
 5272 
 
 5340 
 
 
 
 32 
 
 5409 
 
 5478 
 
 5546 
 
 5615 
 
 5683 
 
 5752 
 
 5821 
 
 5889 
 
 5958 
 
 6026 
 
 
 
 33 
 
 6095 
 
 6163 
 
 6232 
 
 6301 
 
 6369 
 
 6438 
 
 6506 
 
 6575 
 
 6643 
 
 6712 
 
 
 
 34 
 
 6781 
 
 6849 
 
 6918 
 
 6986 
 
 7055 
 
 7123 
 
 7192 
 
 7261 
 
 7329 
 
 7398 
 
 
 
 35 
 
 7466 
 
 7535 
 
 7603 
 
 7672 
 
 7740 
 
 7809 
 
 7878 
 
 7946 
 
 8015 
 
 8083 
 
 
 
 36 
 
 8152 
 
 8220 
 
 8289 
 
 8357 
 
 8426 
 
 8494 
 
 8563 
 
 8631 
 
 8700 
 
 8769 
 
 
 
 37 
 
 8837 
 
 8906 
 
 8974 
 
 9043 
 
 9111 
 
 9180 
 
 9248 
 
 9317 
 
 9385 
 
 9454 
 
 
 
 38 
 
 9522 
 
 9591 
 
 9659 
 
 9728 
 
 9796 
 
 9865 
 
 9933 
 
 0002 
 
 0070 
 
 0139 
 
 
 
 39 
 
 8020208 
 
 0276 
 
 0345 
 
 0413 
 
 0482 
 
 0550 
 
 0619 
 
 0687 
 
 0756 
 
 0824 
 
 
 
 6340 
 
 0893 
 
 0961 
 
 1030 
 
 1098 
 
 1167 
 
 1235 
 
 1304 
 
 1372 
 
 1441 
 
 1509 
 
 
 
 41 
 
 1578 
 
 1646 
 
 1715 
 
 1783 
 
 1851 
 
 1920 
 
 1988 
 
 2057 
 
 2125 
 
 2194 
 
 
 
 42 
 
 2262 
 
 2331 
 
 2399 
 
 2468 
 
 2536 
 
 2605 
 
 2673 
 
 2742 
 
 2810 
 
 2879 
 
 
 68 
 
 43 
 
 2947 
 
 3016 
 
 3084 
 
 3153 
 
 3221 
 
 3289 
 
 3358 
 
 3426 
 
 3495 
 
 3563 
 
 
 1 
 
 7 
 
 44 
 
 3632 
 
 3700 
 
 3769 
 
 3837 
 
 3906 
 
 3974 
 
 4042 
 
 4111 
 
 4179 
 
 4248 
 
 
 2 
 3 
 4 
 
 14 
 20 
 
 27 
 
 45 
 
 4316 
 
 4385 
 
 4453 
 
 4522 
 
 4590 
 
 4658 
 
 4727 
 
 4795 
 
 4864 
 
 4932 
 
 
 46 
 
 5001 
 
 5069 
 
 5138 
 
 5206 
 
 5274 
 
 5343 
 
 5411 
 
 5480 
 
 5548 
 
 5617 
 
 
 5 
 
 34 
 
 47 
 
 5685 
 
 5753 
 
 5822 
 
 5890 
 
 5959 
 
 6027 
 
 6096 
 
 6164 
 
 6232 
 
 6301 
 
 
 6 
 7 
 g 
 
 
 48 
 
 6369 
 
 6438 
 
 6506 
 
 6574 
 
 6643 
 
 6711 
 
 6780 
 
 6848 
 
 6916 
 
 6985 
 
 
 48 
 
 49 
 N. 
 
 7053 
 
 7122 
 
 7190 
 
 2 
 
 7258 
 
 7327 
 
 7395 
 
 7464 
 
 6". 
 
 7532 
 
 7^ 
 
 7600 
 8 
 
 7669 
 
 9 
 
 D 
 
 961 1 
 
 
 
 3 
 
 4 
 
 5 
 
 I 
 
 'ts.1 
 
N.635L.802 OF NUMBERS. (U3)| 
 
 N. 
 
 6350 
 
 
 
 1 
 
 780Ci 
 
 3 
 
 7874 
 
 3 
 
 7942 
 
 4 
 
 8011 
 
 5 
 
 8079 
 
 6 
 
 8148 
 
 7 
 
 8216 
 
 8 
 8284 
 
 9 
 
 8353 
 
 1) 
 
 Pro. 
 
 8027737 
 
 51 
 
 8421 
 
 8490 
 
 8558 
 
 SQ2t) 
 
 8695 
 
 8763 
 
 8831 
 
 8900 
 
 8968 
 
 9037 
 
 
 69 
 
 52 
 
 9105 
 
 9173 
 
 9242 
 
 9310 
 
 9378 
 
 9447 
 
 9515 
 
 9583 
 
 9652 
 
 9720 
 
 
 1 7 
 
 53 
 
 9789 
 
 9857 
 
 9925 
 
 9994 
 
 0062 
 
 0130 
 
 0199 
 
 0267 
 
 0335 
 
 0404 
 
 
 2 14 
 
 321 
 4 28 
 
 54 
 
 8030472 
 
 0540 
 
 0609 
 
 0677 
 
 0745 
 
 0814 
 
 0882 
 
 0951 
 
 1019 
 
 1087 
 
 
 55 
 
 1156 
 
 1224 
 
 1292 
 
 1361 
 
 1429 
 
 1497 
 
 1566 
 
 1634 
 
 1702 
 
 1771 
 
 
 5 35 
 
 \ 5Q 
 
 1839 
 
 1907 
 
 1976 
 
 2044 
 
 21 12 
 
 2181 
 
 2249 
 
 2317 
 
 2385 
 
 2454 
 
 
 6 41 
 
 7 48 
 
 8 55 
 
 ' 57 
 
 2522 
 
 2590 
 
 2659 
 
 2727 
 
 2795 
 
 2864 
 
 2932 
 
 3000 
 
 3069 
 
 3137 
 
 
 i 58 
 
 3205 
 
 3274 
 
 3342 
 
 3410 
 
 3478 
 
 3547 
 
 3615 
 
 3683 
 
 3752 
 
 3820 
 
 
 9 62 
 
 1 59 
 
 3888 
 
 3957 
 
 4025 
 
 4093 
 
 4161 
 
 4230 
 
 4298 
 
 4366 
 
 4435 
 
 4503 
 
 
 
 6360 
 
 4571 
 
 4639 
 
 4708 
 
 4776 
 
 4844 
 
 4913 
 
 4981 
 
 5049 
 
 5117 
 
 5186 
 
 
 
 61 
 
 5254 
 
 5322 
 
 5391 
 
 5459 
 
 5527 
 
 5595 
 
 5664 
 
 5732 
 
 5800 
 
 5868 
 
 
 
 62 
 
 5937 
 
 (.1005 
 
 6073 
 
 6141 
 
 6210 
 
 6278 
 
 6346 
 
 6414 
 
 6483 
 
 6551 
 
 
 
 63 
 
 6619 
 
 6087 
 
 0756 
 
 6824 
 
 6892 
 
 6960 
 
 7029 
 
 7097 
 
 7165 
 
 7233 
 
 
 
 64 
 
 7302 
 
 7370 
 
 7438 
 
 7506 
 
 7575 
 
 7643 
 
 7711 
 
 7779 
 
 78i8 
 
 7916 
 
 
 
 65 
 
 7984 
 
 8052 
 
 8121 
 
 8189 
 
 8257 
 
 8325 
 
 8393 
 
 8462 
 
 8530 
 
 8598 
 
 
 
 66 
 
 8666 
 
 8735 
 
 8803 
 
 8871 
 
 8939 
 
 9007 
 
 9076 
 
 9144 
 
 9212 
 
 9280 
 
 
 
 67 
 
 9348 
 
 9417 
 
 9485 
 
 9553 
 
 9621 
 
 9690 
 
 9758 
 
 9826 
 
 9894 
 
 9962 
 
 
 
 68 
 
 804003 1 
 
 0099 
 
 0167 
 
 0235 
 
 0303 
 
 0372 
 
 0440 
 
 0508 
 
 0576 
 
 0644 
 
 
 ': 
 
 69 
 
 0712 
 
 0781 
 
 0849 
 
 0917 
 
 0985 
 
 1053 
 
 1122 
 
 1190 
 
 1258 
 
 1326 
 
 
 
 6370 
 
 1394 
 
 1463 
 
 1531 
 
 1599 
 
 1667 
 
 1735 
 
 1803 
 
 1872 
 
 1940 
 
 2008 
 
 
 
 71 
 
 2076 
 
 2144 
 
 2212 
 
 2281 
 
 2349 
 
 2417 
 
 2485 
 
 2553 
 
 2621 
 
 2690 
 
 
 
 72 
 
 2758 
 
 2826 
 
 2894 
 
 2962 
 
 3030 
 
 3098 
 
 3167 
 
 3235 
 
 3303 
 
 3371 
 
 
 
 73 
 
 3439 
 
 3507 
 
 3575 
 
 3^44 
 
 3712 
 
 3780 
 
 3848 
 
 3916 
 
 3984 
 
 4052 
 
 
 
 74 
 
 4121 
 
 4189 
 
 4257 
 
 4325 
 
 4393 
 
 4461 
 
 4529 
 
 4597 
 
 4666 
 
 4734 
 
 
 
 75 
 
 4802 
 
 4870 
 
 4938 
 
 5006 
 
 5074 
 
 5143 
 
 5211 
 
 5279 
 
 5347, 
 
 5415 
 
 
 
 76 
 
 5483 
 
 5551 
 
 5619 
 
 5687 
 
 5756 
 
 5824 
 
 5892 
 
 5960 
 
 6028r 
 
 )6096 
 
 
 
 77 
 
 6.164 
 
 6232 
 
 6300 
 
 6368 
 
 6437 
 
 6505 
 
 6573 
 
 6641 
 
 6709 
 
 6777 
 
 
 
 78 
 
 6845 
 
 6913 
 
 6981 
 
 7049 
 
 7118 
 
 7186 
 
 7254 
 
 7322 
 
 7390 
 
 7458 
 
 
 
 79 
 
 7526 
 
 7594 
 
 7662 
 
 7730 
 
 7798 
 
 7866 
 
 7934 
 
 8003 
 
 8071 
 
 8139 
 
 
 
 6380 
 
 8207 
 
 8275 
 
 8343 
 
 8411 
 
 8479 
 
 8547 
 
 8615 
 
 8683 
 
 8751 
 
 8819 
 
 
 
 81 
 
 8887 
 
 8956 
 
 9024 
 
 9092 
 
 9160 
 
 9228 
 
 9296 
 
 9364 
 
 9432 
 
 9500 
 
 
 
 82 
 
 9568 
 
 9636 
 
 9704 
 
 9772 
 
 9840 
 
 9908 
 
 9976 
 
 0044 
 
 0112 
 
 0180 
 
 
 
 83 
 
 8050248 
 
 0316 
 
 0385 
 
 0453 
 
 0521 
 
 0589 
 
 0657 
 
 0725 
 
 0793 
 
 0861 
 
 
 
 84 
 
 0929 
 
 0997 
 
 1065 
 
 1133 
 
 1201 
 
 1269 
 
 1337 
 
 1405 
 
 1473 
 
 1541 
 
 
 
 85 
 
 1609 
 
 1677 
 
 1745 
 
 1813 
 
 1881 
 
 1949 
 
 2017 
 
 2085 
 
 2153 
 
 2221 
 
 
 
 86 
 
 2289 
 
 2357 
 
 2425 
 
 2493 
 
 2561 
 
 2629 
 
 2697 
 
 2765 
 
 2833 
 
 2901 
 
 68 
 
 
 87 
 
 2969 
 
 3037 
 
 3105 
 
 3173 
 
 3241 
 
 3309 
 
 3377 
 
 3445 
 
 3513 
 
 358! 
 
 
 
 88 
 
 3649 
 
 3717 
 
 3785 
 
 3853 
 
 3921 
 
 3980 
 
 4057 
 
 4125 
 
 4193 
 
 426 1 
 
 
 
 89 
 
 4329 
 
 4397 
 
 4465 
 
 4533 
 
 4601 
 
 4869 
 
 4737 
 
 4805 
 
 4873 
 
 4941 
 
 
 
 6390 
 
 5009 
 
 5077 
 
 5145 
 
 5212 
 
 5280 
 
 5348 
 
 5416 
 
 5484 
 
 5552 
 
 5620 
 
 
 
 91 
 
 5688 
 
 5756 
 
 5824 
 
 5892 
 
 5960 
 
 6028 
 
 60 J 6 
 
 6164 
 
 6232 
 
 6300 
 
 
 «.- 
 
 92 
 
 6368 
 
 6436 
 
 6504 
 
 6571 
 
 6639 
 
 6707 
 
 6775 
 
 6843 
 
 6911 
 
 6979 
 
 
 68 
 
 93 
 
 7047 
 
 7115 
 
 7163 
 
 7251 
 
 7319 
 
 7387 
 
 7455 
 
 7523 
 
 7590 
 
 7658 
 
 
 1 7 
 
 94 
 
 7726 
 
 7794 
 
 7862 
 
 7930 
 
 7998 
 
 8066 
 
 8134 
 
 8202 
 
 8270 
 
 8338 
 
 
 2 14 
 
 3 20 
 
 95 
 
 8405 
 
 8473 
 
 854] 
 
 8609 
 
 8677 
 
 8745 
 
 8813 
 
 8881 
 
 8949 
 
 9017 
 
 
 4 27 
 
 96 
 
 9085 
 
 9152 
 
 9220 
 
 9288 
 
 9356 
 
 9424 
 
 9492 
 
 9560 
 
 9628 
 
 9696 
 
 
 5 34 
 
 97 
 
 9764' 
 
 9831 
 
 9899 
 
 9967 
 
 0035 
 
 0103 
 
 0171 
 
 0239 
 
 0307 
 
 0374 
 
 
 6 41 
 
 7 48 
 
 8 54 
 
 98 
 
 8060442 
 
 0510 
 
 0578 
 
 0646 
 
 0714 
 
 0782 
 
 0850 
 
 0917 
 
 0985 
 
 1053 
 
 
 99 
 
 N. 
 
 1121 
 
 1189 
 1 
 
 1257 
 2 
 
 1325 
 
 s 
 
 1393 
 
 4 
 
 1460 
 5 
 
 1528 
 
 1596 
 7 
 
 1664 
 
 8 
 
 1732 
 
 ~9~ 
 
 
 9 61 
 
 
 
 T) ■ 
 
 Pts. 
 
 20. 
 
(114) LOGARITHMS N.640L. 806' 
 
 N. 
 
 6400 
 
 
 
 1 
 
 1868 
 
 :2! 
 
 1935 
 
 3 
 
 2003 
 
 4 
 2071 
 
 5 
 
 2139 
 
 6 
 
 2207 
 
 7 
 
 2275 
 
 8 
 
 2343 
 
 _9 
 
 2410 
 
 D 
 
 Pro. 
 
 8061800 
 
 01 
 
 2478 
 
 2546 
 
 2614 
 
 2682 
 
 2750 
 
 2817 
 
 2885 
 
 2953 
 
 3021 
 
 3089 
 
 
 68 
 
 02 
 
 3157 
 
 3225 
 
 3292 
 
 3360 
 
 3428 
 
 3496 
 
 3564 
 
 3632 
 
 3099 
 
 3767 
 
 
 1 
 
 7 
 
 03 
 
 3835 
 
 3903 
 
 3971 
 
 4038 
 
 4106 
 
 4174 
 
 4242 
 
 4310 
 
 4378 
 
 4445 
 
 
 2 
 3 
 
 4 
 
 14 
 20 
 
 27 
 
 04 
 
 4513 
 
 4581 
 
 4649 
 
 4717 
 
 4784 
 
 4852 
 
 4920 
 
 4988 
 
 5056 
 
 5124 
 
 
 05 
 
 5191 
 
 5259 
 
 5327 
 
 5395 
 
 5463 
 
 5530 
 
 5598 
 
 5666 
 
 5734 
 
 5802 
 
 
 5 
 
 34 
 
 06 
 
 5869 
 
 5937 
 
 6005 
 
 6073 
 
 6141 
 
 6208 
 
 6276 
 
 6344 
 
 6412 
 
 6479 
 
 
 6 
 
 7 
 8 
 
 41 
 48 
 o4 
 
 07 
 
 6547 
 
 6615 
 
 6683 
 
 6751 
 
 681^ 
 
 '6886 
 
 6954 
 
 7022 
 
 7089 
 
 7157 
 
 
 08 
 
 7225 
 
 7293 
 
 7361 
 
 7428 
 
 7496 
 
 7564 
 
 7632 
 
 7699 
 
 7767 
 
 7835 
 
 
 9 
 
 b'l 
 
 09 
 
 7903 
 
 7970 
 
 8038 
 
 8106 
 
 8174 
 
 8242 
 
 8309 
 
 8377 
 
 8445 
 
 8513 
 
 
 
 6410 
 
 8580 
 
 8648 
 
 8716 
 
 8784 
 
 8851 
 
 8919 
 
 8987 
 
 9055 
 
 9122 
 
 9190 
 
 
 
 11 
 
 9258 
 
 9326 
 
 9393 
 
 9461 
 
 9529 
 
 9596 
 
 9664 
 
 9732 
 
 9800 
 
 9867 
 
 
 
 12 
 
 9935 
 
 0003 
 
 0071 
 
 0138 
 
 0206 
 
 0274 
 
 0342 
 
 0409 
 
 0477 
 
 0545 
 
 
 
 13 
 
 8070612 
 
 0680 
 
 0748 
 
 0816 
 
 0883 
 
 0951 
 
 1019 
 
 1086 
 
 1154 
 
 1222 
 
 
 
 14 
 
 1290 
 
 1357 
 
 1425 
 
 1493 
 
 1560 
 
 1628 
 
 1696 
 
 1764 
 
 1831 
 
 1 899 
 
 
 
 15 
 
 1967 
 
 2034 
 
 2102 
 
 2170 
 
 2237 
 
 2305 
 
 2373 
 
 2440 
 
 2508 
 
 2576 
 
 
 
 16 
 
 2644 
 
 2711 
 
 2779 
 
 2847 
 
 2914 
 
 2982 
 
 3050 
 
 3117 
 
 3185 
 
 3253 
 
 
 
 17 
 
 3320 
 
 3388 
 
 3456 
 
 3523 
 
 3591 
 
 3659 
 
 3726 
 
 3794 
 
 3862 
 
 3929 
 
 
 
 IS 
 
 5997 
 
 4065 
 
 4132 
 
 4200 
 
 4268 
 
 4335 
 
 4403 
 
 4471 
 
 4538 
 
 4606 
 
 
 
 19 
 
 4674 
 
 4741 
 
 4S09 
 
 4877 
 
 4944 
 
 5012 
 
 5080 
 
 5147 
 
 5215 
 
 5283 
 
 
 
 6420 
 
 5350 5418 
 
 5486 
 
 5553 
 
 5621 
 
 5689 
 
 5756 
 
 5824 
 
 5891 
 
 5959 
 
 
 
 21 
 
 6027 
 
 6094 
 
 6162 
 
 6230 
 
 6297 
 
 6365 
 
 6432 
 
 6500 
 
 6568 
 
 6635 
 
 
 
 22 
 
 6703 
 
 6771 
 
 6838 
 
 6906 
 
 6974 
 
 7041 
 
 7109 
 
 7176 
 
 7244 
 
 7312 
 
 
 
 23 
 
 7379 
 
 7447 
 
 7514 
 
 7582 
 
 7650 
 
 7717 
 
 7785 
 
 7853 
 
 7920 
 
 7988 
 
 
 
 24 
 
 8055 
 
 8123 
 
 8191 
 
 8258 
 
 8326 
 
 8393 
 
 8461 
 
 8529 
 
 8596 
 
 8664 
 
 
 
 25 
 
 8731 
 
 8799 
 
 8867 
 
 8934 
 
 9002 
 
 9069 
 
 9137 
 
 9204 
 
 9272 
 
 9340 
 
 
 
 26 
 
 9407 
 
 9475 
 
 9542 
 
 9610 
 
 9678 
 
 9745 
 
 9813 
 
 9880 
 
 9948 
 
 0015 
 
 
 
 27 
 
 8080083 
 
 0151 
 
 0218 
 
 0286 
 
 0353 
 
 0421 
 
 0488 
 
 0556 
 
 0624 
 
 0691 
 
 
 
 28 
 
 0759 
 
 0826 
 
 0894 
 
 0961 
 
 1029 
 
 1096 
 
 1164 
 
 1232 
 
 1299 
 
 1367 
 
 
 
 29 
 
 1434 
 
 1502 
 
 1569 
 
 1637 
 
 1704 
 
 1772 
 
 1840 
 
 1907 
 
 1975 
 
 2042 
 
 
 
 6430 
 
 2110 
 
 2177 
 
 2245 
 
 2312 
 
 2380 
 
 2447 
 
 2515 
 
 2582 
 
 2650 
 
 2718 
 
 
 
 31 
 
 2785 
 
 2853 
 
 2920 
 
 2988 
 
 3055 
 
 3123 
 
 3190 
 
 3258 
 
 3325 
 
 3393 
 
 
 
 32 
 
 3460 
 
 3528 
 
 3595 
 
 3663 
 
 3730 
 
 3798 
 
 3865 
 
 3933 
 
 4000 
 
 4008 
 
 
 
 53 
 
 4136 
 
 4203 
 
 4271 
 
 4338 
 
 4406 
 
 4473 
 
 4541 
 
 4G08 
 
 4676 
 
 4743 
 
 
 
 34 
 
 4811 
 
 4878 
 
 4946 
 
 5013 
 
 5081 
 
 5148 
 
 5216 
 
 5283 
 
 5351 
 
 5418 
 
 
 
 35 
 
 5486 
 
 5553 
 
 5620 
 
 5688 
 
 5755 
 
 5823 
 
 5890 
 
 5958 
 
 6025 
 
 6093 
 
 
 
 36 
 
 6160 
 
 6228 
 
 6295 
 
 6363 
 
 6430 
 
 6498 
 
 6565 
 
 6633 
 
 6700 
 
 6768 
 
 
 
 37 
 
 6835 
 
 6903 
 
 6970 
 
 7037 
 
 7105 
 
 7172 
 
 7240 
 
 7307 
 
 7375 
 
 7442 
 
 
 
 38 
 
 7510 
 
 7577 
 
 7645 
 
 7712 
 
 7780 
 
 7847 
 
 ,7914 
 
 7982 
 
 8049 
 
 8117 
 
 
 
 39 
 
 8184 
 
 8252 
 
 8319 
 
 8387 
 
 8454 
 
 8521 
 
 8589 
 
 8656 
 
 8724 
 
 8791 
 
 
 
 6440 
 
 8859 
 
 8926 
 
 8994 
 
 9061 
 
 9128 
 
 9196 
 
 9263 
 
 "9331 
 
 9398 
 
 9466 
 
 
 
 41 
 
 9533 
 
 9600 
 
 9668 
 
 9735 
 
 9803 
 
 9870 
 
 9938 
 
 0005 
 
 0072 
 
 0140 
 
 
 
 42 
 
 8090207 
 
 0275 
 
 0342 
 
 0409 
 
 0477 
 
 0544 
 
 0612 
 
 0679 
 
 0747 
 
 0814 
 
 
 67 
 
 43 
 
 0881 
 
 0949 
 
 1016 
 
 1084 
 
 1151 
 
 1218 
 
 1286 
 
 1353 
 
 1421 
 
 1488 
 
 
 1 
 
 7 
 
 44 
 
 1555 
 
 1623 
 
 1690 
 
 1757 
 
 1825 
 
 1892 
 
 1960 
 
 2027 
 
 2094 
 
 2162 
 
 
 2 
 3 
 
 13 
 20 
 
 45 
 
 2229 
 
 2297 
 
 2364 
 
 2431 
 
 2499 
 
 2566 
 
 2634 
 
 2701 
 
 2768 
 
 2836 
 
 
 4 
 
 27 
 
 46 
 
 2903 
 
 2970 
 
 3038 
 
 3105 
 
 3173 
 
 3240 
 
 3307 
 
 3375 
 
 3442 
 
 3509 
 
 
 5 
 6 
 
 7 
 
 34 
 
 47 
 
 3577 
 
 3644 
 
 371 1 
 
 3779 
 
 3846 
 
 3914 
 
 3981 
 
 4048 
 
 4116 
 
 4183 
 
 
 40 
 47 
 
 48 
 
 4250 
 
 4318 
 
 4385 
 
 4452 
 
 4520 
 
 4587 
 
 4654 
 
 4722 
 
 4789 
 
 4856 
 
 
 8 
 
 54 
 
 49 
 
 N. 
 
 4924 
 
 4991 
 1 
 
 5058 
 
 5126 
 
 3 
 
 5193 
 
 4 
 
 5260 
 
 5 
 
 5328 
 
 6 
 
 5395 
 
 7 
 
 5462 
 
 8 
 
 5530 
 
 9 
 
 D 
 
 9 
 
 GO 
 
 
 
 P 
 
 ts. 
 
N. 645 L. 809 OF numbers. (11^)1 
 
 N. 
 
 64-50 
 
 
 
 1 
 
 5661. 
 
 2 
 5732 
 
 3 
 
 5799 
 
 4 
 
 5866 
 
 5 
 
 5934 
 
 6 
 
 6001 
 
 7 
 
 6068 
 
 8 
 
 6136 
 
 9 
 
 6203 
 
 D 
 
 Pro. 
 
 8095597 
 
 51 
 
 6270 
 
 6338 
 
 6405 
 
 6472 
 
 6540 
 
 6607 
 
 6674 
 
 6742 
 
 6809 
 
 6876 
 
 
 6S 
 
 52 
 
 6944 
 
 7011 
 
 7078 
 
 7146 
 
 7213 
 
 7 280 
 
 7347 
 
 7415 
 
 7482 
 
 7549 
 
 
 1 7 
 
 53 
 
 7617 
 
 7684 
 
 7751 
 
 7819 
 
 7886 
 
 7953 
 
 8020 
 
 8088 
 
 8155 
 
 8222 
 
 
 2 14 
 
 3 20 
 
 4 27 
 
 54 
 
 8290 
 
 8357 
 
 8424 
 
 8491 
 
 8559 
 
 8626 
 
 8693 
 
 8761 
 
 8828 
 
 8895 
 
 
 55 
 
 8962 
 
 9030 
 
 9097 
 
 9164 
 
 9232 
 
 9299 
 
 9366 
 
 9433 
 
 9501 
 
 9568 
 
 
 5 34 
 
 56 
 
 9635 
 
 9702 
 
 9770 
 
 9837 
 
 9904 
 
 9972 
 
 0039 
 
 0106 
 
 0173 
 
 0241 
 
 
 6 41 
 
 7 48 
 
 8 54 
 
 57 
 
 8100308 
 
 0375 
 
 0442 
 
 0510 
 
 0577 
 
 0644 
 
 0711 
 
 0779 
 
 0846 
 
 0913 
 
 
 58 
 
 0980 
 
 1048 
 
 1115 
 
 1182 
 
 1249 
 
 1317 
 
 1384 
 
 1451" 
 
 1518 
 
 1586 
 
 
 961 
 
 59 
 
 1653 
 
 1720 
 
 1787 
 
 1855 
 
 1922 
 
 1989 
 
 2056 
 
 2123 
 
 2191 
 
 2258 
 
 
 
 6460 
 
 2325 
 
 2392 
 
 ^460 
 
 2527 
 
 2594 
 
 2661 
 
 2729 
 
 2796 
 
 2863 
 
 2930 
 
 
 
 61 
 
 2997 
 
 3065 
 
 3132 
 
 3199 
 
 3266 
 
 3333 
 
 3401 
 
 3468 
 
 3535 
 
 3602 
 
 
 
 62 
 
 3670 
 
 3737 
 
 3804 
 
 3871 
 
 3938 
 
 4006 
 
 4073 
 
 4140 
 
 4207 
 
 4274 
 
 
 
 63 
 
 4342 
 
 4409 
 
 4476 
 
 4543 
 
 4610 
 
 4678 
 
 4745 
 
 4812 
 
 4879 
 
 4946 
 
 
 
 64 
 
 5013 
 
 5081 
 
 5148 
 
 5215 
 
 5282 
 
 5349 
 
 5417 
 
 5484 
 
 5551 
 
 5618 
 
 
 
 05 
 
 5685 
 
 5752 
 
 5820 
 
 5887 
 
 5954 
 
 6021 
 
 6088 
 
 6156 
 
 6223 
 
 6290 
 
 
 
 66 
 
 6357 
 
 6424 
 
 6491 
 
 6558 
 
 6626 
 
 6693 
 
 6760 
 
 6827 
 
 6894 
 
 6961 
 
 
 
 61 
 
 7029 
 
 7096 
 
 7163 
 
 7230 
 
 7297 
 
 7364 
 
 7432 
 
 7499 
 
 7566 
 
 7633 
 
 
 
 68 
 
 7700 
 
 7767 
 
 7834 
 
 7902 
 
 7969 
 
 8036 
 
 8103 
 
 8170 
 
 8237 
 
 8304 
 
 
 
 69 
 
 8372 
 
 8439 
 
 8506 
 
 8573 
 
 8640 
 
 8707 
 
 8774 
 
 8841 
 
 8909 
 
 8976 
 
 
 
 6470 
 
 9043 
 
 9110 
 
 9177 
 
 9244 
 
 9311 
 
 9378 
 
 9446 
 
 9513 
 
 9580 
 
 9647 
 
 
 
 71 
 
 9714 
 
 9781 
 
 9848 
 
 9915 
 
 9982 
 
 0050 
 
 0117 
 
 0184 
 
 0251 
 
 0318 
 
 
 
 72 
 
 8110385 
 
 0452 
 
 0519 
 
 0586 
 
 0653 
 
 0721 
 
 0788 
 
 0855 
 
 0922 
 
 0989 
 
 
 
 73 
 
 1056 
 
 1123 
 
 1190 
 
 1257 
 
 1324 
 
 1392 
 
 1459 
 
 1526 
 
 1593 
 
 1660 
 
 
 
 74 
 
 1727 
 
 1794 
 
 1861 
 
 1928 
 
 1995 
 
 2062 
 
 2129 
 
 2197 
 
 2264 
 
 2331 
 
 
 
 75 
 
 2398 
 
 2465 
 
 2532 
 
 2599 
 
 2666 
 
 2733 
 
 2800 
 
 2867 
 
 2934 
 
 3001 
 
 
 
 76 
 
 3068 
 
 3135 
 
 3203 
 
 3270 
 
 3337 
 
 3404 
 
 3471 
 
 3538 
 
 3605 
 
 3672 
 
 
 
 77 
 
 3739 
 
 3806 
 
 3873 
 
 3940 
 
 4007 
 
 4074 
 
 4141 
 
 4208 
 
 4275 
 
 4342 
 
 
 
 78 
 
 4409 
 
 4476 
 
 4544 
 
 4611 
 
 4678 
 
 4745 
 
 4812 
 
 4879 
 
 4946 
 
 5013 
 
 
 
 79 
 
 5080 
 
 5147 
 
 5214 
 
 5281 
 
 5348 
 
 5415 
 
 5482 
 
 5549 
 
 5616 
 
 5683 
 
 
 
 6480 
 
 5750 
 
 5817 
 
 5884 
 
 5Q51 
 
 6018 
 
 6085 
 
 6152 
 
 6219 
 
 6286 
 
 6353 
 
 67 
 
 
 81 
 
 6420 
 
 6487 
 
 6554 
 
 6621 
 
 6688 
 
 6755 
 
 6822 
 
 6889 
 
 6956 
 
 7023 
 
 
 
 82 
 
 7090 
 
 7157 
 
 7224 
 
 7291 
 
 7358 
 
 7425 
 
 7492 
 
 7559 
 
 7626 
 
 7693 
 
 
 
 83 
 
 7760 
 
 7827 
 
 7894 
 
 7961 
 
 8028 
 
 8095 
 
 8162 
 
 8229 
 
 8296 
 
 8363 
 
 
 
 84 
 
 8430 
 
 8497 
 
 8564 
 
 8631 
 
 8698 
 
 8765 
 
 8832 
 
 8899 
 
 8966 
 
 9033 
 
 
 
 85 
 
 9100 
 
 9167 
 
 9234 
 
 9301 
 
 9368 
 
 9435 
 
 9502 
 
 9569 
 
 9636 
 
 9702 
 
 
 
 86 
 
 9769 
 
 9836 
 
 9903 
 
 9970 
 
 0037 
 
 0104 
 
 0171 
 
 0238 
 
 0305 
 
 0372 
 
 
 
 87 
 
 8120439 
 
 0506 
 
 0573 
 
 0640 
 
 0707 
 
 0774 
 
 0841 
 
 0908 
 
 0975 
 
 1041 
 
 
 
 88 
 
 1108 
 
 1175 
 
 1242 
 
 1309 
 
 1376 
 
 1443 
 
 1510 
 
 1577 
 
 1644 
 
 1711 
 
 
 
 89 
 
 1778 
 
 1845 
 
 1912 
 
 1979 
 
 2045 
 
 2112 
 
 2179 
 
 2246 
 
 2313 
 
 2380 
 
 
 
 6490 
 
 2447 
 
 2514 
 
 2581- 
 
 2648 
 
 2715 
 
 2782 
 
 2848 
 
 2915 
 
 2982 
 
 3049 
 
 
 
 91 
 
 3116 
 
 3183 
 
 3250 
 
 3317 
 
 3384 
 
 3451 
 
 3518 
 
 3584 
 
 3651 
 
 3718 
 
 
 
 92 
 
 3785 
 
 3852 
 
 3919 
 
 3986 
 
 4053 
 
 4120 
 
 4186 
 
 4253 
 
 4320 
 
 4387 
 
 
 67 
 
 93 
 
 4454 
 
 4521 
 
 '4588 
 
 4655 
 
 4722 
 
 4788 
 
 4855 
 
 4922 
 
 4989 
 
 5056 
 
 
 1 7 
 
 94 
 
 5123 
 
 5190 
 
 5257 
 
 5323 
 
 5390 
 
 5457 
 
 5524 
 
 5591 
 
 5658 
 
 5725 
 
 
 2 13 
 
 3 20 
 
 95 
 
 5792 
 
 5858 
 
 5925 
 
 5992 
 
 6059 
 
 6126 
 
 6193 
 
 6260 
 
 6326 
 
 6393 
 
 
 4 27 
 
 96 
 
 6460 
 
 6527 
 
 6594 
 
 6661 
 
 6728 
 
 6794 
 
 6861 
 
 6928 
 
 6995 
 
 7062 
 
 
 5 34 , 
 
 97 
 
 7 129 
 
 7196 
 
 7262 
 
 7329 
 
 7396 
 
 7463 
 
 7530 
 
 7597 
 
 7663 
 
 7730 
 
 
 6 40 
 
 7 47 
 
 8 54 
 
 98 
 
 7797 
 
 7864 
 
 7931 
 
 7998 
 
 8064 
 
 8131 
 
 8198 
 
 8265 
 
 8332 
 
 8399 
 
 
 99 
 
 N. 
 
 8465 
 
 8532 
 1 
 
 8599 
 2 
 
 866*'5 
 
 3 
 
 8733 
 
 4 
 
 8799 8866 
 
 5 6 
 
 8933 
 7 
 
 9000 
 
 8 
 
 9067 
 9 
 
 Dji 
 
 9 60 
 
 
 
 Pts. 
 
 20.^ 
 
(11C>) LOGARITHMS N.650L.^12 
 
 N. 
 
 0500 
 
 
 
 1 
 
 2 
 9267 
 
 3 
 
 9334 
 
 4 
 
 9401 
 
 5 
 
 9468 
 
 () 
 
 9534 
 
 7 
 
 9601 
 
 8 
 
 9668 
 
 9 
 
 D 
 
 Pro. 
 
 8129134 
 
 9200 
 
 9735 
 
 01 
 
 9802 
 
 9868 
 
 9935 
 
 0D02 
 
 0069 
 
 0136 
 
 0202 
 
 0269 
 
 0336 
 
 0403 
 
 
 67 
 
 02 
 
 8130470 
 
 0536 
 
 0603 
 
 0670 
 
 0737 
 
 0804 
 
 0870 
 
 0937 
 
 1004 
 
 1071 
 
 
 1 7 
 
 03 
 
 1138 
 
 1204- 
 
 1271 
 
 1338 
 
 1405 
 
 1471 
 
 15S8 
 
 1605 
 
 1672 
 
 1739 
 
 
 2 13 
 
 3 20 
 
 4 27 
 
 04 
 
 1805 
 
 1872 
 
 1939 
 
 2006 
 
 2072 
 
 2139 
 
 2206 
 
 2273 
 
 2339 
 
 2406 
 
 
 05 
 
 • 2473 
 
 2540 
 
 2607 
 
 2673 
 
 2740 
 
 2807 
 
 2874 
 
 2940 
 
 3007 
 
 3074 
 
 
 6 34 
 
 06 
 
 3141 
 
 3207 
 
 3274 
 
 3341 
 
 3408 
 
 3474 
 
 3541 
 
 3608 
 
 3675 
 
 3741 
 
 
 6 40 
 
 7 47 
 
 8 54 
 
 07 
 
 3808 
 
 3875 
 
 3942 
 
 4008 
 
 4075 
 
 4142 
 
 4209 
 
 4275 
 
 4342 
 
 4409 
 
 
 08 
 
 4475 
 
 4542 
 
 4609 
 
 4676 
 
 4742 
 
 4809 
 
 4876 
 
 4943 
 
 5009 
 
 5076 
 
 
 9 60 
 
 09 
 
 5143 
 
 5209 
 
 5276 
 
 5343 
 
 5410 
 
 5476 
 
 5543 
 
 5610 
 
 5676 
 
 5743 
 
 
 
 6510 
 
 5810 
 
 5877 
 
 5943 
 
 6010 
 
 6077 
 
 6143 
 
 6210 
 
 6277 
 
 6344 
 
 6410 
 
 
 
 11 
 
 6477 
 
 6544 
 
 6610 
 
 6677 
 
 6744 
 
 6810 
 
 6877 
 
 6944 
 
 7011 
 
 7077 
 
 
 
 12 
 
 7144 
 
 72 M 
 
 7277 
 
 7344 
 
 7411 
 
 7477 
 
 7544 
 
 7611 
 
 7677 
 
 7744 
 
 
 
 13 
 
 7811 
 
 7877 
 
 7944 
 
 8011 
 
 8077 
 
 8144 
 
 8211 
 
 8278 
 
 8344 
 
 8411 
 
 
 
 14 
 
 8478 
 
 8544 
 
 8611 
 
 8678 
 
 8744 
 
 8811 
 
 8878 
 
 8944 
 
 9011 
 
 9078 
 
 
 
 15 
 
 9144 
 
 9211 
 
 9278 
 
 9344 
 
 9411 
 
 9477 
 
 9544 
 
 9611 
 
 9677 
 
 9744 
 
 
 
 16 
 
 9811 
 
 9877 
 
 9944 
 
 0011 
 
 0077 
 
 0144 
 
 0211 
 
 0277 
 
 0344 
 
 0411 
 
 
 
 17 
 
 8140477 
 
 0544 
 
 0610 
 
 0677 
 
 0744 
 
 0810 
 
 0877 
 
 0944 
 
 1010 
 
 1077 
 
 
 
 18 
 
 1144 
 
 1210 
 
 1277 
 
 1343 
 
 1410 
 
 1477 
 
 1543 
 
 1610 
 
 1677 
 
 1743 
 
 
 
 19 
 
 1810 
 
 1876 
 
 1943 
 
 2010 
 
 2076 
 
 2143 
 
 2210 
 
 2276 
 
 2343 
 
 2409 
 
 
 
 6520 
 
 2476 
 
 2543 
 
 2609 
 
 2676 
 
 2742 
 
 2809 
 
 2876 
 
 2942 
 
 3009 
 
 3075 
 
 
 
 21 
 
 3142 
 
 3209 
 
 3275 
 
 3342 
 
 3408 
 
 3475 
 
 3542 
 
 3608 
 
 3675 
 
 3741 
 
 
 
 22 
 
 3808 
 
 3875 
 
 3941 
 
 4008 
 
 4074 
 
 4141 
 
 4207 
 
 4274 
 
 4341 
 
 4407 
 
 
 
 23 
 
 4474 
 
 4540 
 
 4607 
 
 4674 
 
 4740 
 
 4807 
 
 4873 
 
 4940 
 
 5006 
 
 5073 
 
 
 
 24 
 
 5140 
 
 5206 
 
 5273 
 
 5339 
 
 5406 
 
 5472 
 
 5539 
 
 5605 
 
 5672 
 
 5759 
 
 
 
 25 
 
 5805 
 
 5872 
 
 5938 
 
 6005 
 
 6071 
 
 6138 
 
 6204 
 
 6271 
 
 6338 
 
 6404 
 
 
 
 26 
 
 6471 
 
 6537 
 
 6604 
 
 6670 
 
 6737 
 
 6803 
 
 6870 
 
 6937 
 
 7003 
 
 7070 
 
 
 
 27 
 
 7136 
 
 7203 
 
 7269 
 
 7336 
 
 7402 
 
 7469 
 
 7535 
 
 7602 
 
 7668 
 
 7735 
 
 
 
 28 
 
 7801 
 
 7868 
 
 7935 
 
 8001 
 
 8068 
 
 8134 
 
 8201 
 
 8267 
 
 8334 
 
 8400 
 
 
 
 29 
 
 8467 
 
 8533 
 
 8600 
 
 8666 
 
 8733 
 
 8799 
 
 8866 
 
 8932 
 
 8999 
 
 9065 
 
 
 
 6530 
 
 9132 
 
 9198 
 
 9265 
 
 9331 
 
 9398 
 
 9464 
 
 9531 
 
 9597 
 
 9664 
 
 9730 
 
 
 
 31 
 
 9797 
 
 9863 
 
 9930 
 
 9996 
 
 0063 
 
 0129 
 
 0196 
 
 0262 
 
 0329 
 
 0395 
 
 
 
 32 
 
 8150462 
 
 0528 
 
 0595 
 
 0661 
 
 0728 
 
 0794 
 
 0861 
 
 0927 
 
 0994 
 
 1060 
 
 
 ■ 
 
 33 
 
 1127 
 
 1193 
 
 1260 
 
 1326 
 
 1392 
 
 1459 
 
 1525 
 
 1592 
 
 1658 
 
 1725 
 
 
 
 34 
 
 1791 
 
 1858 
 
 1924 
 
 1991 
 
 2057 
 
 2124 
 
 2190 
 
 2257 
 
 2323 
 
 2389 
 
 
 
 35 
 
 2456 
 
 2522 
 
 2589 
 
 2655 
 
 2722 
 
 2788 
 
 2855 
 
 2921 
 
 2988 
 
 3054 
 
 
 
 36 
 
 3120 
 
 3187 
 
 3253 
 
 3320 
 
 3386 
 
 3453 
 
 3519 
 
 3586 
 
 3652 
 
 3718 
 
 
 
 37 
 
 3785 
 
 3851 
 
 3918 
 
 3984 
 
 4051 
 
 4117 
 
 4183 
 
 4250 
 
 4316 
 
 4383 
 
 
 
 38 
 
 4449 
 
 4516 
 
 4582 
 
 4648 
 
 4715 
 
 4781 
 
 4848 
 
 4914 
 
 4981 
 
 5047 
 
 
 
 39 
 
 5113 
 
 5180 
 
 5246 
 
 5313 
 
 5379 
 
 5445 
 
 5512 
 
 5578 
 
 5645 
 
 5711 
 
 
 
 6540 
 
 5777 
 
 5844 
 
 5910 
 
 5977 
 
 6043 
 
 6109 
 
 6176 
 
 6242 
 
 6309 
 
 6375 
 
 
 
 41 
 
 6441 
 
 6508 
 
 6574 
 
 6641 
 
 6707 
 
 6773 
 
 6840 
 
 6906 
 
 6973 
 
 7039 
 
 
 
 42 
 
 7105 
 
 7172 
 
 7238 
 
 7305 
 
 7371 
 
 7437 
 
 7504 
 
 7570 
 
 7636 
 
 7703 
 
 
 66 
 
 43 
 
 7769 
 
 7836 
 
 7902 
 
 7968 
 
 8035 
 
 8101 
 
 8167 
 
 8234 
 
 8300 
 
 8367 
 
 
 1 7 
 
 44 
 
 8433 
 
 8499 
 
 8566 
 
 8632 
 
 8698 
 
 8765 
 
 8831 
 
 8897 
 
 8964 
 
 9030 
 
 
 2 13 
 
 3 20 
 
 45 
 
 9097 
 
 9163 
 
 9229 
 
 9296 
 
 9362 
 
 9428 
 
 9495 
 
 9561 
 
 9627 
 
 9694 
 
 
 4 26 
 
 46 
 
 9760 
 
 9826 
 
 9893 
 
 9959 
 
 0025 
 
 0092 
 
 0158 
 
 0224 
 
 0291 
 
 0357 
 
 
 5 33 
 640 
 7 46 
 
 "47 
 
 8160423 
 
 0490 
 
 0556 
 
 0622 
 
 0689 
 
 0755 
 
 0821 
 
 0888 
 
 0954 
 
 1020 
 
 
 48 
 
 1087 
 
 1153 
 
 1219 
 
 1286 
 
 1352 
 
 1418 
 
 1485 
 
 1551 
 
 1617 
 
 1684 
 
 
 / -iO 
 
 8 53 
 
 49 
 
 N. 
 
 1750 
 
 1816 
 1 
 
 1883 
 2 
 
 1949 
 
 2015 
 
 2081 
 
 2148 
 
 2214 
 
 7 
 
 2280 
 
 8 
 
 2347 
 9 
 
 
 9 59 
 
 
 
 3 
 
 4 
 
 5 
 
 6 
 
 D ■ 
 
 Pts. 
 
N.0"o5 L.816 
 
 
 OF NUMBERS. 
 
 
 
 
 ( 
 
 1] 
 
 n) 
 
 N. 
 
 6550 
 
 
 
 1 
 
 2479 
 
 2 
 2546 
 
 3 4 
 
 5 
 
 2745 
 
 6' 
 
 2811 
 
 7 
 
 2877 
 
 8 
 2943 
 
 9 
 
 3010 
 
 D Pro. 
 
 8162413 
 
 2612 
 
 2678 
 
 51 
 
 3076 
 
 3142 
 
 3209 
 
 3275 
 
 3341 
 
 3407 
 
 3474 
 
 3540 
 
 3606 
 
 3673 
 
 
 66 1 
 
 52 
 
 3739 
 
 3805 
 
 3871 
 
 3938 
 
 4004 
 
 4070 
 
 4137 
 
 4^203 
 
 4269 
 
 4335 
 
 
 1 
 
 7 
 
 53 
 
 4402 
 
 4468 
 
 4534 
 
 4600 
 
 4667 
 
 4733 
 
 4799 
 
 4866 
 
 4932 
 
 4998 
 
 
 2 
 
 13 
 
 54 
 
 5064 
 
 5J3i 
 
 5197 
 
 5263 
 
 5329 
 
 5396 
 
 5462 
 
 5528 
 
 5594 
 
 5661 
 
 
 3 
 4 
 
 20 
 26 
 
 55 
 
 5727 
 
 5793 
 
 5859 
 
 5926 
 
 5992 
 
 6058 
 
 6121- 
 
 6191 
 
 6257 
 
 6323 
 
 
 
 
 ^3 
 
 56 
 
 6389 
 
 6456 
 
 6522 
 
 658S 
 
 6654 
 
 6721 
 
 6787 
 
 6853 
 
 6919 
 
 6986 
 
 
 6 
 
 7 
 g 
 
 40 
 
 46 
 
 y3 
 
 57 
 
 7052 
 
 7118 
 
 7184 
 
 7251 
 
 7317 
 
 7383 
 
 7449 
 
 7515 
 
 7582 
 
 764S 
 
 
 58 
 
 7714 
 
 7780 
 
 7847 
 
 7913 
 
 7979 
 
 8045 
 
 8111 
 
 8178 
 
 8244 
 
 8310 
 
 
 9 
 
 59 
 
 59 
 
 8376 
 
 8443 
 
 8509 
 
 8575 
 
 8641 
 
 8707 
 
 8774 
 
 8840 
 
 8906 
 
 8972 
 
 
 
 6560 
 
 9038 
 
 9105 
 
 9171 
 
 9237 
 
 9303 
 
 9369 
 
 9436 
 
 9502 
 
 9568 
 
 9634 
 
 1 
 
 
 61 
 
 9700 
 
 9767 
 
 9833 
 
 9899 
 
 9965 
 
 0031 
 
 0098 
 
 0164 
 
 0230 
 
 0296 
 
 
 
 62 
 
 8170362 
 
 0428 
 
 0495 
 
 0561 
 
 0627 
 
 0693 
 
 0759 
 
 0826 
 
 0892 
 
 0958 
 
 
 
 63 
 
 1024 
 
 1090 
 
 1156 
 
 1223 
 
 1289 
 
 1355 
 
 1421 
 
 1487 
 
 1553 
 
 1620 
 
 
 
 64 
 
 1686 
 
 1752 
 
 1818 
 
 1884 
 
 1950 
 
 2017 
 
 2083 
 
 2149 
 
 2215 
 
 2281 
 
 
 
 65 
 
 2347 
 
 2413 
 
 2480 
 
 2546 
 
 2612 
 
 2678 
 
 2744 
 
 2810 
 
 2876 
 
 2943 
 
 
 
 66 
 
 3009 
 
 3075 
 
 3141 
 
 3207 
 
 3273 
 
 3339 
 
 3406 
 
 3472 
 
 3538 
 
 3604 
 
 
 
 67 
 
 3670 
 
 3736 
 
 3802 
 
 3869 
 
 3935 
 
 4001 
 
 4067 
 
 4133 
 
 4199 
 
 4265 
 
 
 
 68 
 
 4331 
 
 4398 
 
 4464 
 
 4530 
 
 4596 
 
 4662 
 
 4728 
 
 4794 
 
 4860 
 
 4927 
 
 
 
 69 
 
 4993 
 
 5059 
 
 5125 
 
 5191 
 
 5257 
 
 5323 
 
 5389 
 
 5455 
 
 5521 
 
 5588 
 
 
 
 6570 
 
 565.4 
 
 5720 
 
 5786 
 
 5852 
 
 5918 
 
 5984 
 
 6050 
 
 6116 
 
 6182 
 
 6249 
 
 
 
 71 
 
 6315 
 
 6381 
 
 6447 
 
 6513 
 
 6579 
 
 6645 
 
 6711 
 
 6777 
 
 6843 
 
 6909 
 
 
 
 72 
 
 6976 
 
 7042 
 
 7108 
 
 7174 
 
 7240 
 
 7306 
 
 7372 
 
 7438 
 
 7504 
 
 7570 
 
 
 
 73 
 
 7636 
 
 7702 
 
 7768 
 
 7835 
 
 7901 
 
 7967 
 
 8033 
 
 8099 
 
 8165 
 
 8231 
 
 
 
 74 
 
 8297 
 
 8363 
 
 8429 
 
 8495 
 
 8561 
 
 8627 
 
 8693 
 
 8759 
 
 8825 
 
 8892 
 
 
 
 75 
 
 8958 
 
 9024 
 
 9090 
 
 9156 
 
 9222 
 
 9288 
 
 9354 
 
 9420 
 
 9486 
 
 9552 
 
 
 
 76 
 
 9618 
 
 9684 
 
 9750 
 
 9816 
 
 9882 
 
 9948 
 
 0014 
 
 0080 
 
 0146 
 
 0212 
 
 
 
 77 
 
 8180278 
 
 0344 
 
 0410 
 
 0477 
 
 0543 
 
 0609 
 
 0675 
 
 0741 
 
 0807 
 
 0873 
 
 
 
 78 
 
 0939 
 
 1005 
 
 1071 
 
 1137 
 
 1203 
 
 1269 
 
 1335 
 
 1401 
 
 1467 
 
 1533 
 
 66 
 
 
 79 
 
 1599 
 
 1665 
 
 1731 
 
 1797 
 
 1863 
 
 1929 
 
 1995 
 
 2061 
 
 2127 
 
 2193 
 
 
 6580 
 
 2259 
 
 2325 
 
 2391 
 
 2457 
 
 2523 
 
 2589 
 
 2655 
 
 2721 
 
 2787 
 
 2853 
 
 
 
 81 
 
 2919 
 
 2985 
 
 3051 
 
 3117 
 
 3183 
 
 3249 
 
 3315 
 
 3381 
 
 3447 
 
 3513 
 
 
 
 82 
 
 3579 
 
 3645 
 
 3711 
 
 3777 
 
 3843 
 
 3909 
 
 3975 
 
 4041 
 
 4107 
 
 4173 
 
 
 
 83 
 
 4239 
 
 4305 
 
 4370 
 
 4436 
 
 4502 
 
 4568 
 
 4634 
 
 4700 
 
 4766 
 
 4832 
 
 
 
 84 
 
 4898 
 
 4964 
 
 5030 
 
 5096 
 
 5162 
 
 5228 
 
 5294 
 
 5360 
 
 5426 
 
 5492 
 
 
 
 85 
 
 5558 
 
 5624 
 
 5690 
 
 5756 
 
 5822 
 
 5888 
 
 5953 
 
 6019 
 
 6085 
 
 6151 
 
 
 
 86 
 
 6217 
 
 6283 
 
 6349 
 
 6415 
 
 6481 
 
 6547 
 
 6613 
 
 6679 
 
 6745 
 
 6811 
 
 
 
 87 
 
 6877 
 
 6943 
 
 7008 
 
 7074 
 
 7140 
 
 7206 
 
 7272 
 
 7338 
 
 7404 
 
 7470 
 
 
 
 88 
 
 7536 
 
 7602 
 
 7668 
 
 7734 
 
 7800 
 
 7866 
 
 7931 
 
 7997 
 
 8063 
 
 8129 
 
 
 
 89 
 
 8195 
 
 8261 
 
 8327 
 
 8393 
 
 8459 
 
 8525 
 
 8591 
 
 8656 
 
 8722 
 
 8788 
 
 
 
 6590 
 
 8854 
 
 8920 
 
 8986 
 
 9052 
 
 9118 
 
 9184 
 
 9250 
 
 9315 
 
 9381 
 
 9447 
 
 
 
 91 
 
 9513 
 
 9579 
 
 9645 
 
 9711 
 
 9777 
 
 9843 
 
 9908 
 
 9974 
 
 0040 
 
 0106 
 
 
 
 92 
 
 8190172 
 
 0238 
 
 0304 
 
 0370 
 
 0436 
 
 0501 
 
 0567 
 
 0633 
 
 0699 
 
 0765 
 
 
 65 
 
 93 
 
 0831 
 
 0897 
 
 0962 
 
 1028 
 
 1094 
 
 1160 
 
 1226 
 
 1292 
 
 1358 
 
 1424 
 
 
 1 
 
 7 
 
 94 
 
 1489 
 
 1555 
 
 1621 
 
 1687 
 
 1753 
 
 1819 
 
 1885 
 
 1950 
 
 2016 
 
 2082 
 
 
 2 
 
 3 
 
 13 
 20 
 
 95 
 
 2148 
 
 2214 
 
 2280 
 
 2,346 
 
 2411 
 
 2477 
 
 2543 
 
 2609 
 
 2675 
 
 2741 
 
 
 4 
 
 26 
 
 96 
 
 2806 
 
 2872 
 
 2938 
 
 3004 
 
 3070 
 
 3136 
 
 3202 
 
 3267 
 
 3333 
 
 3399 
 
 
 5 
 
 33 
 
 97 
 
 3465 
 
 3531 
 
 3597 
 
 3662 
 
 3728 
 
 3794 
 
 3860 
 
 3926 
 
 3991 
 
 4057 
 
 
 6 
 7 
 
 8 
 
 39 
 46 
 
 98 
 
 4123 
 
 4189 
 
 4255 
 
 4321 
 
 4386 
 
 4452 
 
 4518 
 
 4584 
 
 4650 
 
 4715 
 
 
 to 
 
 52 
 
 99 
 
 4781 
 
 4847 
 
 4913 
 
 4979 
 
 5045 
 
 5110 
 
 5176 
 
 5242 
 
 5308 5374 
 
 9 
 
 69 
 
 NT 
 
 1 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 1 9 
 
 D Pts. 
 
(118) LOGAiirrHMs N.66Y) L. 819 
 
 N. 
 
 6600 
 
 
 
 1 
 5505 
 
 o 
 
 557 1 
 
 3 
 
 5637 
 
 4 , 
 
 5703 
 
 5 
 
 5768 
 
 6 
 
 5834 
 
 7 
 
 5i)00 
 
 8 
 
 5966 
 
 9 
 
 6032 
 
 1) 
 
 Pro. 
 
 8195439 
 
 01 
 
 6097 
 
 6163 
 
 6229 
 
 6295 
 
 6360 
 
 6426 
 
 6492 
 
 6558 
 
 6624 
 
 6689 
 
 
 60 
 
 02 
 
 6755 
 
 6821 
 
 6887 
 
 6953 
 
 7018 
 
 7084 
 
 7150 
 
 7216 
 
 7281 
 
 7347 
 
 
 1 
 
 7 
 
 03 
 
 7413 
 
 7479 
 
 7545 
 
 7610 
 
 7676 
 
 7742 
 
 7808 
 
 7873 
 
 7939 
 
 8005 
 
 
 2 
 
 13 
 
 04 
 
 8071 
 
 8136 
 
 8202 
 
 8268 
 
 8334 
 
 8399 
 
 8465 
 
 8531 
 
 8597 
 
 8662 
 
 
 3 
 
 4 
 
 20 
 26 
 
 05 
 
 8728 
 
 8794 
 
 8860 
 
 8925 
 
 8991 
 
 9057 
 
 9123 
 
 9I8S 
 
 9254 
 
 9320 
 
 
 6 
 
 33 
 
 06 
 
 9386 
 
 9451 
 
 9517 
 
 9583 
 
 9649 
 
 9714 
 
 9780 
 
 9846 
 
 9912 
 
 9977 
 
 
 6 
 
 40 
 
 07 
 
 8200043 
 
 0109 
 
 0175 
 
 0240 
 
 0306 
 
 0372 
 
 0437 
 
 0.503 
 
 0569 
 
 0635 
 
 
 7 
 8 
 9 
 
 46 
 
 53 
 
 n9 
 
 08 
 
 0700 
 
 0766 
 
 0832 
 
 0898 
 
 0963 
 
 1029 
 
 1095 
 
 1160 
 
 1226 
 
 1292 
 
 
 09 
 
 1358 
 
 1 423 
 
 1489 
 
 1555 
 
 1620 
 
 1686 
 
 1752 
 
 I§17 
 
 1883 
 
 1949 
 
 
 
 6610 
 
 2015 
 
 2080 
 
 2146 
 
 2212 
 
 2277 
 
 2343 
 
 2409 
 
 2474 
 
 2540 
 
 2606 
 
 
 
 11 
 
 2672 
 
 2737 
 
 2803 
 
 2869 
 
 2934 
 
 3000 
 
 3066 
 
 3131 
 
 3197 
 
 3263 
 
 
 
 12 
 
 3328 
 
 3394 
 
 3460 
 
 3525 
 
 3591 
 
 3657 
 
 3723 
 
 3788 
 
 3854 
 
 3920 
 
 
 
 13 
 
 3985 
 
 4051 
 
 4117 
 
 4182 
 
 4248 
 
 4314 
 
 4379 
 
 4445 
 
 4511 
 
 4576 
 
 
 
 14 
 
 4642 
 
 4708 
 
 4773 
 
 4839 
 
 4905 
 
 4970 
 
 5036 
 
 5102 
 
 5167 
 
 5233 
 
 
 
 15 
 
 5298 
 
 5364 
 
 5430 
 
 5495 
 
 5561 
 
 5627 
 
 5692 
 
 5758 
 
 5824 
 
 5889 
 
 
 
 16 
 
 5955 
 
 6021 
 
 6086 
 
 6152 
 
 6218 
 
 6283 
 
 6349 
 
 6414 
 
 6480 
 
 6546 
 
 
 
 17 
 
 6611 
 
 6677 
 
 6743 
 
 6808 
 
 6874 
 
 6939 
 
 7005 
 
 7071 
 
 7136 
 
 7202 
 
 
 
 18 
 
 ' 7268 
 
 7333 
 
 7399 
 
 7464 
 
 7530 
 
 7596 
 
 7661 
 
 7727 
 
 7793 
 
 7858 
 
 
 
 19 
 
 7924 
 
 7989 
 
 8055 
 
 8121 
 
 8186 
 
 8252 
 
 8317 
 
 8383 
 
 8449 
 
 8514 
 
 
 
 6620 
 
 8580 
 
 8645 
 
 8711 
 
 8777 
 
 8842 
 
 8908 
 
 8973 
 
 9039 
 
 9105 
 
 9170 
 
 
 
 21 
 
 9236 
 
 9301 
 
 9367 
 
 9433 
 
 9498 
 
 9564 
 
 9329 
 
 9695 
 
 9761 
 
 9826 
 
 
 
 22 
 
 9892 
 
 9957 
 
 0023 
 
 0089 
 
 0154 
 
 0220 
 
 0285 
 
 0351 
 
 0416 
 
 0482 
 
 
 
 23 
 
 8210548 
 
 061S 
 
 0679 
 
 0744 
 
 0810 
 
 0875 
 
 0941 
 
 1007 
 
 1072 
 
 1138 
 
 
 
 24 
 
 1203 
 
 1269 
 
 1334 
 
 1400 
 
 1465 
 
 1531 
 
 1597 
 
 1662 
 
 1728 
 
 1793 
 
 
 
 25 
 
 1859 
 
 1924 
 
 1990 
 
 2055 
 
 2121 
 
 2187 
 
 2252 
 
 2318 
 
 2383 
 
 2449 
 
 
 
 26 
 
 2514 
 
 2580 
 
 2645 
 
 2711 
 
 2776 
 
 2842 
 
 2908 
 
 2973 
 
 3039 
 
 3104 
 
 
 
 27 
 
 3170 
 
 3235 
 
 3301 
 
 3366 
 
 3432 
 
 3497 
 
 3563 
 
 3628 
 
 3694 
 
 3759 
 
 
 
 28 
 
 3825 
 
 3891 
 
 3956 
 
 4022 
 
 1087 
 
 4153 
 
 4218 
 
 •4284 
 
 4349 
 
 4415 
 
 
 
 29 
 
 4480 
 
 4546 
 
 4611 
 
 4677 
 
 4742 
 
 4808 
 
 4873 
 
 4939 
 
 5004 
 
 5070 
 
 
 
 6630 
 
 5135 
 
 5201 
 
 5266 
 
 5332 
 
 5397 
 
 5463 
 
 5528 
 
 5594 
 
 5659 
 
 5725 
 
 
 
 31 
 
 5790 
 
 5856 
 
 5921 
 
 5987 
 
 6052 
 
 6118 
 
 6183 
 
 6249 
 
 6314 
 
 6380 
 
 
 
 32 
 
 6445 
 
 6511 
 
 6576 
 
 6642 
 
 6707 
 
 6773 
 
 6838 
 
 6904 
 
 6969 
 
 7034 
 
 
 
 33 
 
 7100 
 
 7165 
 
 7231 
 
 7296 
 
 7362 
 
 7427 
 
 7493 
 
 7558 
 
 7624 
 
 7689 
 
 
 
 34 
 
 7755 
 
 7820 
 
 7886 
 
 7951 
 
 8017 
 
 8082 
 
 8147 
 
 8213 
 
 8278 
 
 8344 
 
 
 
 35 
 
 8409 
 
 8475 
 
 8540 
 
 8606 
 
 8671 
 
 8737 
 
 8802 
 
 8867 
 
 8933 
 
 8998 
 
 
 
 36 
 
 9064 
 
 9129 
 
 9195 
 
 9260 
 
 9326 
 
 9391 
 
 9456 
 
 9522 
 
 9587 
 
 9653 
 
 
 
 37 
 
 9718 
 
 9784 
 
 9849 
 
 9914 
 
 9980 
 
 0045 
 
 0111 
 
 0176 
 
 0242 
 
 0307 
 
 
 
 38 
 
 8220372 
 
 0438 
 
 0503 
 
 0569 
 
 0634 
 
 0700 
 
 0765 
 
 0830 
 
 0896 
 
 0961 
 
 
 
 39 
 
 1027 
 
 1092 
 
 1158 
 
 1223 
 
 1288 
 
 1354 
 
 14H) 
 
 1485 
 
 1550 
 
 1615 
 
 
 
 6640 
 
 1681 
 
 1746 
 
 1812 
 
 1877 
 
 1942 
 
 2008 
 
 2073 
 
 2139 
 
 2204 
 
 2269 
 
 
 
 41 
 
 2335 
 
 2400 
 
 2466 
 
 2531 
 
 2596 
 
 2662 
 
 2727 
 
 2793 
 
 2858 
 
 2923 
 
 
 
 42 
 
 2989 
 
 3054 
 
 3119 
 
 3185 
 
 3250 
 
 3316 
 
 3381 
 
 3446 
 
 3512 
 
 3577 
 
 
 65 
 
 43 
 
 3643 
 
 3708 
 
 3773 
 
 3839 
 
 3904 
 
 3969 
 
 4035 
 
 4100 
 
 4166 
 
 4231 
 
 
 V 
 
 7 
 
 44 
 
 4296 
 
 4362 
 
 4427 
 
 4492 
 
 4558 
 
 4623 
 
 4688 
 
 4754 
 
 4819 
 
 4884 
 
 
 2 
 3 
 
 13 
 20 
 
 45 
 
 4950 
 
 5015 
 
 5081 
 
 5146 
 
 5211 
 
 5277 
 
 5342 
 
 5407 
 
 5473 
 
 5538 
 
 
 4 
 
 26 
 
 46 
 
 5603 
 
 5669 
 
 5734 
 
 5799 
 
 5865 
 
 5930 
 
 5995 
 
 6061 
 
 6126 
 
 6191 
 
 
 5 
 6 
 
 7 
 
 33 
 39 
 46 
 
 47 
 
 6257 
 
 6322 
 
 6387 
 
 6453 
 
 6518 
 
 6583 
 
 6649 
 
 6714 
 
 6779 
 
 6845 
 
 
 48 
 
 6910 
 
 6975 
 
 7041 
 
 7106 
 
 7171 
 
 7237 
 
 7302 
 
 7367 
 
 7433 
 
 7498 
 
 
 8 
 
 52 
 
 49 
 
 N. 
 
 7563 
 
 7629 
 
 7694 
 2 
 
 7759 
 
 3 
 
 7825 
 
 7890 
 5 
 
 7955 
 
 8021 
 
 8086 
 8 
 
 8151 
 
 9 
 
 D 
 
 9 
 
 59 
 
 
 
 1 
 
 4 
 
 6 
 
 7 
 
 1 
 
 »ts. 
 
N. 665 L.822 OF NUMBERS. (119) 
 
 
 N. 
 
 66.50 
 
 
 
 1 
 
 8282 
 
 2 
 
 8347 
 
 s 
 
 8412 
 
 4 
 
 8478 
 
 5 
 
 8543 
 
 6 
 
 8608 
 
 7 
 
 8674 
 
 8 
 
 8739 
 
 9 
 
 8804 
 
 D 
 
 Pro. 
 
 
 822S216 
 
 
 51 
 
 8869 
 
 m35 
 
 9000 
 
 9065 
 
 9131 
 
 9196 
 
 9261 
 
 9327 
 
 9392 
 
 9457 
 
 
 65 
 
 
 52 
 
 9522 
 
 9588 
 
 9653 
 
 9718 
 
 9784 
 
 9849 
 
 9914 
 
 9979 
 
 D045 
 
 0110 
 
 
 1 7 
 
 
 53 
 
 8230175 
 
 0241 
 
 0306 
 
 0371 
 
 0436 
 
 0502 
 
 0567 
 
 0632 
 
 0697 
 
 0763 
 
 
 2 13 
 
 3 20 
 
 4 26 
 
 
 54 
 
 0828 
 
 0893 
 
 0958 
 
 1024 
 
 1089 
 
 1154 
 
 1220 
 
 1285 
 
 1350 
 
 1415 
 
 
 
 53 
 
 1481 
 
 1546 
 
 1611 
 
 1676 
 
 1742 
 
 1807 
 
 1872 
 
 1937 
 
 2003 
 
 2068 
 
 
 5 33 
 
 
 56 
 
 2133 
 
 2198 
 
 2264 
 
 2329 
 
 2394 
 
 2459 
 
 2525 
 
 2590 
 
 2655 
 
 2720 
 
 
 6 39 
 
 7 46 
 
 8 52 
 
 
 57 
 
 2786 
 
 2851 
 
 2916 
 
 2981 
 
 3047 
 
 3112 
 
 3177 
 
 3242 
 
 3307 
 
 3373 
 
 
 
 53 
 59 
 
 3438 
 4090 
 
 3503 
 4155 
 
 3568 
 
 4221. 
 
 3634 
 4286 
 
 3699 
 4351 
 
 3764 
 4416 
 
 3829 
 4481 
 
 3894 
 4547 
 
 3960 
 4612 
 
 4025 
 4677 
 
 
 9 59 
 
 
 
 
 6660 
 
 4742 
 
 4808 
 
 4873 
 
 4938 
 
 5003 
 
 5068 
 
 5134 
 
 5199 
 
 5264 
 
 5329 
 
 
 
 
 61 
 
 5^94 
 
 5460 
 
 5525 
 
 5590 
 
 5655 
 
 5720 
 
 5786 
 
 5851 
 
 5916 
 
 5981 
 
 
 
 
 62 
 
 6046 
 
 6111 
 
 6177 
 
 6242 
 
 6307 
 
 6372 
 
 6437 
 
 6503 
 
 6568 
 
 6633 
 
 
 
 
 63 
 
 6698 
 
 13763 
 
 6828 
 
 6894 
 
 6959 
 
 7024 
 
 7089 
 
 715l 
 
 7220 
 
 7285 
 
 
 
 
 64 
 
 7350 
 
 7415 
 
 7480 
 
 7545 
 
 7611 
 
 7676 
 
 7741 
 
 7806 
 
 7871 
 
 7936 
 
 
 
 
 65 
 
 8002 
 
 8067 
 
 8132 
 
 8197 
 
 8262 
 
 8327 
 
 8392 
 
 8458 
 
 8523 
 
 8588 
 
 
 
 
 66 
 
 8653 
 
 8718 
 
 8783 
 
 8849 
 
 8914 
 
 8979 
 
 9044 
 
 9109 
 
 9174 
 
 9239 
 
 
 
 
 61 
 
 9305 
 
 9370 
 
 9435 
 
 9500 
 
 9565 
 
 9630 
 
 9695 
 
 9761 
 
 9826 
 
 9891 
 
 
 
 
 68 
 
 9956 
 
 0021 
 
 0086 
 
 0151 
 
 0216 
 
 02&2 
 
 0347 
 
 0412 
 
 0477 
 
 0542 
 
 
 
 
 69 
 
 8240607 
 
 0672 
 
 0737 
 
 0803 
 
 0868 
 
 0933 
 
 0998 
 
 1063 
 
 1128 
 
 1193 
 
 
 
 
 6670 
 
 1258 
 
 1323 
 
 1389 
 
 1454 
 
 1519 
 
 1584 
 
 1649 
 
 1714 
 
 1779 
 
 1844 
 
 
 
 
 71 
 
 1909 
 
 1975 
 
 2040 
 
 2105 
 
 2170 
 
 2235 
 
 2300 
 
 2365 
 
 2430 
 
 2495 
 
 
 
 
 72 
 
 2560 
 
 2625 
 
 2691 
 
 2756 
 
 2821 
 
 2886 
 
 2951 
 
 3016 
 
 3081 
 
 3146 
 
 
 
 
 73 
 
 3211 
 
 3276 
 
 3341 
 
 3406 
 
 3472 
 
 3537 
 
 3602 
 
 3667 
 
 3732 
 
 3797 
 
 
 
 
 74 
 
 3862 
 
 3927 
 
 39^ 
 
 4057 
 
 4122 
 
 41S7 
 
 4252 
 
 4318 
 
 4383 
 
 4448 
 
 
 
 
 75 
 
 45 1 3 
 
 4578 
 
 4643 
 
 4708 
 
 4773 
 
 4838 
 
 4903 
 
 4968 
 
 5033 
 
 5098 
 
 
 
 
 76 
 
 5163 
 
 5228 
 
 5293 
 
 5358 
 
 5423 
 
 5489 
 
 5554 
 
 5619 
 
 5684 
 
 5749 
 
 
 
 
 77 
 
 5814 
 
 5879 
 
 5944 
 
 6009 
 
 6074 
 
 6139 
 
 6204 
 
 6269 
 
 6334 
 
 6399 
 
 
 
 
 78 
 
 6464 
 
 6529 
 
 6594 
 
 6659 
 
 6724 
 
 6789 
 
 6854 
 
 6919 
 
 6984 
 
 7049. 
 
 
 
 
 79 
 
 7114 
 
 7179 
 
 7244 
 
 7310 
 
 7375 
 
 7440 
 
 7505 
 
 7570 
 
 7635 
 
 7700 
 
 
 
 
 6680 
 
 7765 
 
 7830 
 
 7895 
 
 7960 
 
 8025 
 
 8090 
 
 8155 
 
 8220 
 
 8285 
 
 8350 
 
 65 
 
 
 
 81 
 
 8415 
 
 8480 
 
 8545 
 
 8610 
 
 8675 
 
 8740 
 
 8805 
 
 8870 
 
 8935 
 
 9000 
 
 
 
 82 
 
 9065 
 
 9130 
 
 9195 
 
 9260 
 
 9325 
 
 9390 
 
 9455 
 
 9520 
 
 9585 
 
 9650 
 
 
 
 
 83 
 
 9715 
 
 9780 
 
 9845 
 
 9910 
 
 9975 
 
 0040 
 
 0105 
 
 0169 
 
 0234 
 
 0299 
 
 
 
 
 84 
 
 8250364 
 
 0429 
 
 0494 
 
 0559 
 
 0624 
 
 0689 
 
 0754 
 
 0819 
 
 0884 
 
 0949 
 
 
 
 
 85 
 
 1014 
 
 1079 
 
 1144 
 
 1209 
 
 1274 
 
 1339 
 
 1404 
 
 1469 
 
 1534 
 
 1599 
 
 
 
 
 86 
 
 1664 
 
 1729 
 
 1794 
 
 1859 
 
 1924 
 
 1988 
 
 2053 
 
 2118 
 
 2183 
 
 2248 
 
 
 
 
 87 
 
 2313 
 
 2378 
 
 2443 
 
 2508 
 
 2573 
 
 2638 
 
 2703 
 
 2768 
 
 2833 
 
 2898 
 
 
 
 
 88 
 
 2963 
 
 3028 
 
 3093 
 
 3157 
 
 3222 
 
 3287 
 
 3352 
 
 3417 
 
 3482 
 
 3547 
 
 
 
 
 89 
 
 3312 
 
 3677 
 
 3742 
 
 3807 
 
 3872 
 
 3937 
 
 4002 
 
 4066 
 
 4131 
 
 4196 
 
 
 
 
 6690 
 
 4261 
 
 4326 
 
 4391 
 
 4456 
 
 4521 
 
 4586 
 
 4651 
 
 4716 
 
 4780 
 
 4845 
 
 
 
 
 9] 
 
 4)10 
 
 4975 
 
 5040 
 
 5105 
 
 5170 
 
 5235 
 
 5300 
 
 5365 
 
 5430 
 
 5494 
 
 
 
 
 92 
 
 5559 
 
 5624 
 
 5689 
 
 5754 
 
 5819 
 
 5884 
 
 5949 
 
 6014 
 
 6078 
 
 6143 
 
 
 64 
 
 
 93 
 
 6208 
 
 6273 
 
 6338 
 
 6403 
 
 6468 
 
 6533 
 
 6598 
 
 6662 
 
 6727 
 
 6792 
 
 
 1 6 
 
 
 94 
 
 6857 
 
 6922 
 
 6987 
 
 7052"^ 
 
 7117 
 
 7181 
 
 7246 
 
 7311 
 
 7376 
 
 7441 
 
 
 2 13 
 
 3 19 
 
 
 95 
 
 7506 
 
 7571 
 
 7636 
 
 7700 
 
 7765 
 
 7830 
 
 7895 
 
 7960 
 
 8025 
 
 8090 
 
 
 4 26 
 
 
 96 
 
 8154 
 
 8219 
 
 8284 
 
 8349 
 
 8414 
 
 8479 
 
 8544 
 
 8608 
 
 8673 
 
 8738 
 
 
 5 32 
 
 
 97 
 
 8803 
 
 8868 
 
 8933 
 
 8998 
 
 9062 
 
 9127 
 
 9192 
 
 9257 
 
 9322 
 
 9387 
 
 
 6 38 
 
 7 45 
 
 8 51 
 
 
 98 
 
 9451 
 
 9516 
 
 9581 
 
 9646 
 
 9711 
 
 9776 
 
 9840 
 
 9905 
 
 9970 
 
 0035 
 
 
 
 99 
 
 N. 
 
 8260100 
 
 0165 
 1 
 
 0229 
 
 Q 
 
 0294 
 
 3 
 
 0359 
 
 4 
 
 0424 
 
 6 
 
 0489 
 
 6 
 
 0554 
 
 r 
 
 0618 
 
 8 
 
 0683 
 
 9 
 
 D 
 
 9 58 
 
 Pts. 
 
 . 
 
 
 
 " 
 
(120) LOGARITHMS N.67OL. 826" 
 
 N. 
 
 6700 
 
 
 
 1 
 
 OS I 3 
 
 2 3 
 
 4 
 
 1007 
 
 5 
 
 1072 
 
 6 
 
 1137 
 
 7 
 
 8 
 
 9 
 
 1331 
 
 D 
 
 Pro. 
 
 8260748 
 
 0878 0942 
 
 1202 
 
 1207 
 
 01 
 
 1396 
 
 1461 
 
 1526 
 
 1591 
 
 1055 
 
 1720 
 
 1785 
 
 1850 
 
 1915 
 
 1979 
 
 
 65 
 
 02 
 
 2044 
 
 2109 
 
 2174 
 
 2239 
 
 2303 
 
 2368 
 
 2433 
 
 2498 
 
 2503 
 
 2027 
 
 
 1 7 
 
 03 
 
 2692 
 
 2757 
 
 2822 
 
 2887 
 
 2951 
 
 3016 
 
 3081 
 
 3146 
 
 3210 
 
 3275 
 
 
 2 13 
 
 3 20 
 
 4 26 
 
 04 
 
 3340 
 
 3405 
 
 3470 
 
 3534 
 
 3599 
 
 3664 
 
 3729 
 
 3794 
 
 3858 
 
 3923 
 
 
 05 
 
 3988 
 
 4053 
 
 4117 
 
 4182 
 
 4247 
 
 4312 
 
 4376 
 
 4441 
 
 4500 
 
 4571 
 
 
 5 33 
 
 06 
 
 4635 
 
 4700 
 
 4765 
 
 4830 
 
 4895 
 
 4959 
 
 5024 
 
 5089 
 
 5154 
 
 5218 
 
 
 6 39 
 
 7 46 
 
 8 52 
 
 07 
 
 5283 
 
 5348 
 
 5413 
 
 5177 
 
 5542 
 
 5607 
 
 5672 
 
 5730 
 
 5801 
 
 5866 
 
 
 08 
 
 5931 
 
 .^995 
 
 6060 
 
 6125 
 
 6190 
 
 6254 
 
 6319 
 
 6384 
 
 0448 
 
 6513 
 
 
 9 59 
 
 09 
 
 6578 
 
 6643 
 
 6707 
 
 0772 
 
 6837 
 
 6902 
 
 6966 
 
 7031 
 
 7090 
 
 7160 
 
 
 
 6710 
 
 7225 
 
 7290 
 
 7355 
 
 7419 
 
 7484 
 
 7549 
 
 7614 
 
 7678 
 
 7743 
 
 7808 
 
 
 
 11 
 
 7872 
 
 7937 
 
 8v-)02 
 
 8067 
 
 8131 
 
 8196 
 
 8201 
 
 8325 
 
 8390 
 
 8455 
 
 
 
 12 
 
 8519 
 
 8584 
 
 8649 
 
 8714 
 
 8778 
 
 8843 
 
 8908 
 
 8972 
 
 9037 
 
 9102 
 
 
 
 13 
 
 9166 
 
 9231 
 
 9296 
 
 9361 
 
 9425 
 
 9490 
 
 9555 
 
 9619 
 
 9084 
 
 9749 
 
 
 
 14 
 
 9813 
 
 9878 
 
 9943 
 
 5007 
 
 0072 
 
 0137 
 
 0201 
 
 0266 
 
 0331 
 
 0395 
 
 
 
 15 
 
 8270460 
 
 0525 
 
 0590 
 
 0654 
 
 0719 
 
 0784 
 
 0848 
 
 0913 
 
 0978 
 
 1042 
 
 
 
 16 
 
 1107 
 
 1172 
 
 1236 
 
 1301 
 
 1366 
 
 1430 
 
 1495 
 
 1560 
 
 1024 
 
 1089 
 
 
 
 17 
 
 1753 
 
 1818 
 
 1883 
 
 1947 
 
 2012 
 
 2077 
 
 2141 
 
 2206 
 
 2271 
 
 2335 
 
 64 
 
 
 18 
 
 2400 
 
 2465 
 
 2529 
 
 2594 
 
 2659 
 
 2723 
 
 2788 
 
 2852 
 
 2917 
 
 2982 
 
 
 
 19 
 
 3046 
 
 3111 
 
 3176 
 
 3240 
 
 3303 
 
 3370 
 
 3434 
 
 3499 
 
 3563 
 
 3628 
 
 
 
 6720 
 
 3693 
 
 3757 
 
 3822 
 
 3887 
 
 3951 
 
 4016 
 
 4080 
 
 4145 
 
 4210 
 
 4274 
 
 
 
 21 
 
 4339 
 
 4404 
 
 4v68 
 
 4533 
 
 4597 
 
 4662 
 
 4727 
 
 4791 
 
 4856 
 
 4920 
 
 
 
 22 
 
 4985 
 
 5050 
 
 5114 
 
 5179 
 
 5244 
 
 5308 
 
 5373 
 
 5437 
 
 5502 
 
 5567 
 
 
 
 23 
 
 5631 
 
 5696 
 
 5760 
 
 5825 
 
 5889 
 
 5954 
 
 6019 
 
 6083 
 
 6148 
 
 6212 
 
 
 
 24 
 
 6277 
 
 6342 
 
 6406 
 
 6471 
 
 6535 
 
 6600 
 
 6665 
 
 6729 
 
 6794 
 
 6858 
 
 
 
 25 
 
 6923 
 
 6987 
 
 7052 
 
 7117 
 
 7181 
 
 7246 
 
 7310 
 
 7375 
 
 7439 
 
 7504 
 
 
 
 26 
 
 7569 
 
 7633 
 
 7698 
 
 7762 
 
 7827 
 
 7891 
 
 7956 
 
 8021 
 
 8085 
 
 8150 
 
 
 
 27 
 
 8214 
 
 8279 
 
 8343 
 
 8408 
 
 8473 
 
 8537 
 
 8602 
 
 8666 
 
 8731 
 
 8795 
 
 
 
 28 
 
 8860 
 
 8924 
 
 8989 
 
 9053 
 
 9118 
 
 9183 
 
 9247 
 
 9312 
 
 9370 
 
 9441 
 
 
 
 29 
 
 9505 
 
 9570 
 
 9634 
 
 9699 
 
 9763 
 
 9828 
 
 9893 
 
 9957 
 
 0022 
 
 0086 
 
 
 
 6730 
 
 8280151 
 
 0215 
 
 0280 
 
 0344 
 
 0409 
 
 0473 
 
 0538 
 
 0602 
 
 0007 
 
 0731 
 
 
 
 31 
 
 0796 
 
 0860 
 
 0925 
 
 0989 
 
 1054 
 
 1119 
 
 1183 
 
 1248 
 
 1312 
 
 1377 
 
 
 
 32 
 
 1441 
 
 1506 
 
 1570 
 
 1635 
 
 1699 
 
 1764 
 
 1828 
 
 1893 
 
 1957 
 
 2022 
 
 
 
 33 
 
 2086 
 
 2151 
 
 2215 
 
 2280 
 
 2344 
 
 2409 
 
 24.73 
 
 2538 
 
 2602 
 
 2667 
 
 
 
 34 
 
 2731 
 
 2796 
 
 2860 
 
 2925 
 
 2989 
 
 3054 
 
 3118 
 
 3183 
 
 3247 
 
 3312 
 
 
 
 35 
 
 3376 
 
 3440 
 
 3505 
 
 3569 
 
 3634 
 
 3698 
 
 3763 
 
 3827 
 
 3892 
 
 3956 
 
 
 
 36 
 
 4021 
 
 4085 
 
 4150 
 
 4^>I4 
 
 4279 
 
 4343 
 
 4408 
 
 4472 
 
 4537 
 
 4601 
 
 
 
 37 
 
 4605 
 
 4730 
 
 4794 
 
 4859 
 
 4923 
 
 4988 
 
 50:32 
 
 5117 
 
 5181 
 
 5246 
 
 
 
 38 
 
 5310 
 
 5375 
 
 5439 
 
 5503 
 
 5568 
 
 5632 
 
 5697 
 
 5701 
 
 5826 
 
 5890 
 
 
 
 39 
 
 5955 
 
 6019 
 
 6083 
 
 6148 
 
 6212 
 
 6277 
 
 6341 
 
 0400 
 
 6470 
 
 6535 
 
 
 
 6740 
 
 6599 
 
 666.3 
 
 6728 
 
 6792 
 
 6857 
 
 6921 
 
 6980 
 
 7050 
 
 7114 
 
 7179 
 
 
 
 41 
 
 7243 
 
 7308 
 
 7372 
 
 7437 
 
 7501 
 
 7565 
 
 7630 
 
 7694 
 
 7759 
 
 7823 
 
 
 
 42 
 
 7887 
 
 7952 
 
 8016 
 
 8081 
 
 8145 
 
 8210 
 
 8274 
 
 8338 
 
 8403 
 
 8467 
 
 
 64 
 
 43 
 
 8532 
 
 8596 
 
 8660 
 
 8725 
 
 8789 
 
 8854 
 
 8918 
 
 8982 
 
 9047 
 
 9111 
 
 
 1 6 
 
 44 
 
 9176 
 
 9240 
 
 9304 
 
 9369 
 
 9433 
 
 9498 
 
 9562 
 
 9626 
 
 9691 
 
 9755 
 
 
 2 13 
 
 3 19 
 
 45 
 
 9820 
 
 9884 
 
 9948 
 
 0013 
 
 0077 
 
 0141 
 
 0206 
 
 0270 
 
 0335 
 
 0399 
 
 
 4 26 
 
 46 
 
 8290463 
 
 0528 
 
 0592 
 
 0656 
 
 0721 
 
 0785 
 
 0850 
 
 0914 
 
 0978 
 
 1043 
 
 
 5 32 
 
 6 38 
 
 7 45 
 
 8 51 
 
 47 
 
 1107 
 
 1171 
 
 1236 
 
 1300 
 
 1365 
 
 1429 
 
 1493 
 
 1558 
 
 1622 
 
 1686 
 
 
 48 
 
 1751 
 
 1815 
 
 1879 
 
 1944 
 
 2008 
 
 2073 
 
 2137 
 
 2201 
 
 2266 
 
 2330 
 
 
 49 
 
 _N. 
 
 2394 
 
 2459 
 
 2523 
 
 2 
 
 2587 
 
 3 
 
 2652 
 
 4 
 
 2716 
 
 5 
 
 2780 
 
 6 
 
 2845 
 
 7 
 
 2909 
 
 8 
 
 2973 
 
 D 
 
 9 58 
 
 Pts. 
 
 
 
 1 
 
N.675L.829 oi.- numbers. (121)| 
 
 N. 
 
 6750 
 
 
 
 1 
 
 3T02 
 
 2 
 J166 
 
 3 
 
 3231 
 
 4 
 
 3295 
 
 5 
 
 3359 
 
 6 
 
 3424 
 
 7 
 
 8 9 
 
 3552 3617 
 
 D 
 
 Pro. 
 
 8293038 
 
 3488 
 
 51 
 
 3681 
 
 3745 
 
 3810 
 
 3874 
 
 3938 
 
 4003 
 
 4067 
 
 4131 
 
 4196 
 
 4260 
 
 
 64 
 
 52 
 
 4324 
 
 4389 
 
 4453 
 
 4517 
 
 4582 
 
 4646 
 
 4710 
 
 4775 
 
 4839 
 
 4903 
 
 
 1 6 
 
 53 
 
 4967 
 
 5032 
 
 5096 
 
 5160 
 
 5225 
 
 5289 
 
 5353 
 
 5418 
 
 5482 
 
 5546 
 
 
 2 13 
 
 54 
 
 5611 
 
 5675 
 
 5739 
 
 5803 
 
 5868 
 
 5932 
 
 5996 
 
 6061 
 
 6125 
 
 6189 
 
 
 3 19 
 
 4 26 
 
 55 
 
 6254 
 
 6318 
 
 6382 
 
 6446 
 
 6511 
 
 6575 
 
 6639 
 
 6704 
 
 6768 
 
 6832 
 
 
 5 32 
 
 56 
 
 6896 
 
 6961 
 
 7025 
 
 7089 
 
 7154 
 
 7218 
 
 7282 
 
 7346 
 
 7411 
 
 7475 
 
 
 6 38 
 
 51 
 
 7539 
 
 7603 
 
 7668 
 
 7732 
 
 7796 
 
 7861 
 
 7925 
 
 7989 
 
 8053 
 
 8118 
 
 
 7 45 
 
 8 51 
 
 58 
 
 8182 
 
 8246 
 
 8310 
 
 8375 
 
 8439 
 
 8503 
 
 8567 
 
 8632 
 
 8696 
 
 8760 
 
 
 9 58 
 
 59 
 
 8824 
 
 8889 
 
 8953 
 
 9017 
 
 9081 
 
 9146 
 
 9210 
 
 9274 
 
 9338 
 
 9403 
 
 
 
 6760 
 
 9467 
 
 9531 
 
 9595 
 
 9660 
 
 9724 
 
 9788 
 
 9852 
 
 9917 
 
 9981 
 
 0045 
 
 
 
 61 
 
 8300109 
 
 0174 
 
 0238 
 
 0302 
 
 0366 
 
 013 1 
 
 0495 
 
 0559 
 
 0623 
 
 0687 
 
 
 
 62 
 
 0752 
 
 0816 
 
 0880 
 
 0944 
 
 1009 
 
 1073 
 
 1137 
 
 1201 
 
 1265 
 
 1330 
 
 
 
 63 
 
 1394 
 
 1458 
 
 1522 
 
 1587 
 
 1651 
 
 1715 
 
 1779 
 
 1843 
 
 1908 
 
 1972 
 
 
 
 64 
 
 2036 
 
 2100 
 
 2164 
 
 2229 
 
 2293 
 
 2357 
 
 2421 
 
 2485 
 
 2550 
 
 2614 
 
 
 
 65 
 
 2678 
 
 2742 
 
 2806 
 
 2871 
 
 2935 
 
 2999 
 
 3063 
 
 3127 
 
 3192 
 
 3256 
 
 
 
 66 
 
 - 3320 
 
 3384 
 
 3448 
 
 3512 
 
 3577 
 
 3641 
 
 3705 
 
 3769 
 
 3833 
 
 3898 
 
 
 
 67 
 
 3962 
 
 4026 
 
 4090 
 
 4154 
 
 4218 
 
 4283 
 
 4347 
 
 4411 
 
 4475 
 
 4539 
 
 
 
 68 
 
 4604 
 
 4668 
 
 4732 
 
 4796 
 
 4860 
 
 4924 
 
 4988 
 
 5053 
 
 5117 
 
 5181 
 
 
 
 69 
 
 5245 
 
 5309 
 
 5373 
 
 5438 
 
 5502 
 
 55QQ 
 
 5630 
 
 5694 
 
 5758 
 
 5823 
 
 
 
 6770 
 
 5887 
 
 5951 
 
 6015 
 
 6079 
 
 6143 
 
 6207 
 
 6272 
 
 6336 
 
 6400 
 
 6464 
 
 
 
 71 
 
 6528 
 
 6592 
 
 m5Q 
 
 6721 
 
 6785 
 
 6849 
 
 6913 
 
 6977 
 
 7041 
 
 7105 
 
 
 • 
 
 72 
 
 7169 
 
 7234 
 
 7298 
 
 7362 
 
 7426 
 
 7490 
 
 7554 
 
 7618 
 
 7683 
 
 7747 
 
 
 
 73 
 
 7811 
 
 7'875 
 
 7939 
 
 800 ,'i 
 
 8067 
 
 8131 
 
 8195 
 
 8260 
 
 8324 
 
 8388. 
 
 
 
 74 
 
 8452 
 
 8516 
 
 8580 
 
 8644 
 
 8708 
 
 8772 
 
 8837 
 
 8901 
 
 8965 
 
 9029 
 
 
 
 75 
 
 9093 
 
 9157 
 
 9221 
 
 9285 
 
 9349 
 
 9413 
 
 9478 
 
 9542 
 
 9606 
 
 9670 
 
 
 
 76 
 
 9734 
 
 9798 
 
 9862 
 
 9926 
 
 9990 
 
 0054 
 
 0119 
 
 0183 
 
 0247 
 
 0311 
 
 
 
 77 
 
 8310375 
 
 0439 
 
 0503 
 
 0567 
 
 0631 
 
 0695 
 
 0759 
 
 0823 
 
 0887 
 
 0952 
 
 
 
 78 
 
 1016 
 
 1080 
 
 1144 
 
 1208 
 
 1272 
 
 1336 
 
 1400 
 
 1464 
 
 1528 
 
 1592 
 
 
 
 79 
 
 1656 
 
 1720 
 
 1784 
 
 1849 
 
 1913 
 
 1977 
 
 2041 
 
 2105 
 
 2169 
 
 2233 
 
 
 
 6780 
 
 2297 
 
 2361 
 
 2425 
 
 2489 
 
 2553 
 
 2617 
 
 2681 
 
 2745 
 
 2809 
 
 2873 
 
 
 
 81 
 
 2937 
 
 3001 
 
 3066 
 
 3130 
 
 3194 
 
 3258 
 
 3322 
 
 3386 
 
 3450 
 
 3514 
 
 
 
 82 
 
 3578 
 
 3642 
 
 3706 
 
 3770 
 
 3834 
 
 3898 
 
 3962 
 
 4026 
 
 4090 
 
 4154 
 
 
 
 83 
 
 4218 
 
 4282 
 
 4346 
 
 4410 
 
 4474 
 
 4538 
 
 4602 
 
 4066 
 
 4730 
 
 4794 
 
 
 
 84 
 
 4858 
 
 4922 
 
 4986 
 
 50,30 
 
 5114 
 
 5178 
 
 5242 
 
 5306 
 
 5371 
 
 5435 
 
 64 
 
 
 85 
 
 5499 
 
 5563 
 
 5627 
 
 5691 
 
 5755 
 
 5819 
 
 5883 
 
 5947 
 
 6011 
 
 6075 
 
 
 86 
 
 6139 
 
 6203 
 
 6267 
 
 633 1 
 
 6395 
 
 6459 
 
 6523 
 
 6587 
 
 6651 
 
 0715 
 
 
 
 87 
 
 6778 
 
 6842 
 
 6906 
 
 6970 
 
 7034 
 
 7098 
 
 7162 
 
 7226 
 
 7290 
 
 7354 
 
 
 
 88 
 
 7418 
 
 7482 
 
 7546 
 
 7610 
 
 7674 
 
 7738 
 
 7802 
 
 7866 
 
 7930 
 
 7994 
 
 
 
 89 
 
 8058 
 
 8122 
 
 8186 
 
 8250 
 
 8314 
 
 8378 
 
 8442 
 
 8506 
 
 8570 
 
 8634 
 
 
 
 6790 
 
 8098 
 
 8762 
 
 8826 
 
 8890 
 
 8954 
 
 9018 
 
 9081 
 
 9145 
 
 9209 
 
 9273 
 
 
 
 91 
 
 9337 
 
 9401 
 
 9465 
 
 9529 
 
 9593 
 
 9657 
 
 9721 
 
 9785 
 
 9849 
 
 9913 
 
 
 
 92 
 
 9977 
 
 0041 
 
 0105 
 
 0169 
 
 0233 
 
 0296 
 
 0360 
 
 0424 
 
 0488 
 
 0552 
 
 
 Q3 
 
 93 
 
 8320616 
 
 0680 
 
 0744 
 
 0808 
 
 0872 
 
 0936 
 
 1000 
 
 1064 
 
 1128 
 
 1192 
 
 
 1|6 
 
 94 
 
 1255 
 
 1319 
 
 1383 
 
 1447 
 
 1511 
 
 1575 
 
 1639 
 
 1703 
 
 1767 
 
 1831 
 
 
 2 13 
 
 3 19 
 
 95 
 
 1895 
 
 1958 
 
 2022 
 
 2086 
 
 2150 
 
 2214 
 
 2278 
 
 2342 
 
 2406 
 
 2470 
 
 
 4 25 
 
 96 
 
 2534 
 
 2598 
 
 2662 
 
 2725 
 
 2789 
 
 2853 
 
 2917 
 
 2981 
 
 3045 
 
 3109 
 
 
 5 32 
 
 97 
 
 317: 
 
 ; 3237 
 
 3300 
 
 3364 
 
 3428 
 
 3492 
 
 3556 
 
 3620 
 
 3684 
 
 3748 
 
 
 6 38 
 
 7 44 
 
 8 50 
 
 98 
 
 381^ 
 
 I 3875 
 
 3939 
 
 4003 
 
 4067 
 
 4131 
 
 4195 
 
 4259 
 
 4323 
 
 4387 
 
 
 99 
 
 445C 
 
 )4514 
 
 4578 
 
 2 
 
 4642 
 
 3 
 
 4706 
 
 4770 
 
 5 
 
 4834 
 
 4898 
 
 7 
 
 4961 
 
 5025 
 
 9 
 
 D 
 
 9 57 
 
 Pts. 
 
 N. 
 
 
 
 1 
 
 4 
 
 6 
 
 8 
 
(122) LOGARITHMS N.680L.832J 
 
 N. 
 
 0800 
 
 
 
 1 
 
 5153 
 
 2 
 
 5217 
 
 3 
 
 5281 
 
 4 
 
 5345 
 
 5 
 
 5408 
 
 6 
 
 5472 
 
 7 
 
 553Q 
 
 8 
 5600 
 
 9 
 
 5064 
 
 D 
 
 Fro. 
 
 8325089 
 
 01 
 
 5728 
 
 5792 
 
 5855 
 
 5919 
 
 5983 
 
 0047 
 
 6II1 
 
 6175 
 
 6239 
 
 6302 
 
 
 64 
 
 02 
 
 6306 
 
 6430 
 
 6494 
 
 0558 
 
 0022 
 
 0086 
 
 0749 
 
 6813 
 
 6877 
 
 0941 
 
 
 1 
 
 6 
 
 03 
 
 7005 
 
 7069 
 
 7132 
 
 7190 
 
 720O 
 
 7324 
 
 7388 
 
 7452 
 
 7515 
 
 7579 
 
 
 2 
 
 13 
 
 04 
 
 7043 
 
 7707 
 
 7771 
 
 7835 
 
 7898 
 
 7962 
 
 8026 
 
 8090 
 
 8154 
 
 8217 
 
 
 3 
 4 
 
 19 
 
 26 
 
 05 
 
 8281 
 
 8345 
 
 8409 
 
 8473 
 
 8537 
 
 8600 
 
 8664 
 
 8728 
 
 8792 
 
 8856 
 
 
 5 
 
 32 
 
 06 
 
 8919 
 
 8983 
 
 9047 
 
 9111 
 
 9175 
 
 9238 
 
 9302 
 
 9366 
 
 9430 
 
 9494 
 
 
 6 
 
 7 
 g 
 
 38 
 45 
 
 07 
 
 9558 
 
 9621 
 
 9685 
 
 9749 
 
 9813 
 
 9877 
 
 9940 
 
 0004 
 
 0008 
 
 0132 
 
 
 08 
 
 8330195 
 
 0259 
 
 0323 
 
 0387 
 
 0451 
 
 0514 
 
 0578 
 
 0642 
 
 0700 
 
 0770 
 
 
 9 
 
 58 
 
 09 
 
 0833 
 
 OS97 
 
 0961 
 
 1025 
 
 1088 
 
 1152 
 
 1210 
 
 1280 
 
 1344 
 
 1407 
 
 
 
 6810 
 
 1471 
 
 1535 
 
 1599 
 
 1602 
 
 1720 
 
 1790 
 
 1854 
 
 1918 
 
 1981 
 
 2045 
 
 
 
 11 
 
 2109 
 
 2173 
 
 2236 
 
 2300 
 
 2364 
 
 2428 
 
 2491 
 
 2555 
 
 2019 
 
 2683 
 
 
 
 12 
 
 2746 
 
 2810 
 
 2874 
 
 2938 
 
 3001 
 
 3005 
 
 3129 
 
 3193 
 
 3250 
 
 3320 
 
 
 
 13 
 
 3384 
 
 3448 
 
 3511 
 
 3575 
 
 3639 
 
 3703 
 
 3760 
 
 3830 
 
 3894 
 
 3958 
 
 
 
 14 
 
 4021 
 
 4085 
 
 4149 
 
 4212 
 
 4276 
 
 4340 
 
 4404 
 
 4407 
 
 4531 
 
 4595 
 
 
 
 15 
 
 4659 
 
 47 2^? 
 
 4786 
 
 4850 
 
 4913 
 
 4977 
 
 5041 
 
 5105 
 
 5168 
 
 5232 
 
 
 
 16 
 
 5296 
 
 5360 
 
 5423 
 
 5487 
 
 5551 
 
 5014 
 
 5078 
 
 5742 
 
 5800 
 
 5869 
 
 
 
 17 
 
 5933 
 
 5997 
 
 6060 
 
 0124 
 
 0188 
 
 0251 
 
 63]5 
 
 6379 
 
 0443 
 
 0500 
 
 
 
 18 
 
 6570 
 
 6634 
 
 6697 
 
 0761 
 
 6825 
 
 6888 
 
 6952 
 
 7016 
 
 7080 
 
 7143 
 
 
 
 19 
 
 7207 
 
 7271 
 
 7334 
 
 7398 
 
 7402 
 
 7525 
 
 7589 
 
 7653 
 
 7710 
 
 7780 
 
 
 
 6820 
 
 7844 
 
 7907 
 
 7971 
 
 8035 
 
 8098 
 
 8162 
 
 8226 
 
 8289 
 
 8353 
 
 8417 
 
 
 
 21 
 
 8480 
 
 8544 
 
 8608 
 
 8672 
 
 8735 
 
 8799 
 
 8802 
 
 8926 
 
 8990 
 
 9053 
 
 
 
 22 
 
 9117 
 
 918] 
 
 9244 
 
 9308 
 
 9372 
 
 9435 
 
 9499 
 
 9563 
 
 9626 
 
 9090 
 
 
 
 23 
 
 9754 
 
 9817 
 
 9881 
 
 9945 
 
 0008 
 
 0072 
 
 0136 
 
 0199 
 
 0263 
 
 0327 
 
 
 
 24 
 
 3340390 
 
 0454 
 
 0517 
 
 0581 
 
 0045 
 
 0708 
 
 07,2 
 
 0836 
 
 0899 
 
 0903 
 
 
 
 25 
 
 1027 
 
 1090 
 
 1154 
 
 1217 
 
 H281 
 
 1345 
 
 1408 
 
 1472 
 
 1530 
 
 1599 
 
 
 
 26 
 
 1663 
 
 1726 
 
 1790 
 
 1854 
 
 1917 
 
 1981 
 
 2045 
 
 2108 
 
 2172 
 
 2235 
 
 
 
 27 
 
 2299 
 
 2363 
 
 2426 
 
 2490 
 
 2553 
 
 2617 
 
 2081 
 
 2744 
 
 2808 
 
 2872 
 
 
 
 28 
 
 2935 
 
 2999 
 
 3002 
 
 3126 
 
 3190 
 
 3253 
 
 3317 
 
 3380 
 
 3444 
 
 3508 
 
 
 
 29 
 
 3571 
 
 3635 
 
 3698 
 
 3762 
 
 3820 
 
 3889 
 
 3953 
 
 4010 
 
 4080 
 
 4143 
 
 
 
 6830 
 
 4207 
 
 4271 
 
 4334 
 
 4398 
 
 4401 
 
 4525 
 
 4589 
 
 4652 
 
 4716 
 
 4779 
 
 
 
 31 
 
 4843 
 
 4906 
 
 4970 
 
 5034 
 
 5097 
 
 5161 
 
 5224 
 
 5288 
 
 535] 
 
 5415 
 
 
 
 32 
 
 5479 
 
 5542 
 
 5606 
 
 5069 
 
 5733 
 
 5796 
 
 5800 
 
 5924 
 
 5987 
 
 0051 
 
 
 
 33 
 
 6114 
 
 6178 
 
 6241 
 
 0305 
 
 0308 
 
 6432 
 
 0490 
 
 6559 
 
 6623 
 
 6686 
 
 
 
 34 
 
 6750 
 
 6813 
 
 6877 
 
 6940 
 
 7004 
 
 7067 
 
 7131 
 
 7195 
 
 7258 
 
 7322 
 
 
 
 35 
 
 7385 
 
 7449 
 
 7512 
 
 7576 
 
 7039 
 
 7703 
 
 7700 
 
 7830 
 
 7Sr93 
 
 7957 
 
 
 
 36 
 
 8021 
 
 8084 
 
 8148 
 
 8211 
 
 8275 
 
 8338 
 
 8402 
 
 8465 
 
 8529 
 
 8592 
 
 
 
 37 
 
 8656 
 
 8719 
 
 8783 
 
 8S46 
 
 8910 
 
 8973 
 
 9037 
 
 9100 
 
 9 J 64 
 
 9227 
 
 
 
 38 
 
 9291 
 
 9354 
 
 9418 
 
 9481 
 
 9545 
 
 9609 
 
 9672 
 
 9736 
 
 9799 
 
 9803 
 
 
 
 39 
 
 9926 
 
 9990 
 
 0053 
 
 0117 
 
 0180 
 
 0244 
 
 0307 
 
 0371 
 
 0434 
 
 0498 
 
 
 
 6840 
 
 S35056I 
 
 0625 
 
 0088 
 
 0751 
 
 0815 
 
 0878 
 
 0942 
 
 1005 
 
 1009 
 
 1132 
 
 
 
 41 
 
 1196 
 
 1259 
 
 1323 
 
 1386 
 
 1450 
 
 1513 
 
 1577 
 
 1640 
 
 1704 
 
 1707 
 
 
 t 
 
 42 
 
 1831 
 
 1894 
 
 1958 
 
 2021 
 
 2085 
 
 2148 
 
 2212 
 
 2275 
 
 2338 
 
 2402 
 
 
 63 
 
 43 
 
 2465 
 
 2529 
 
 2592 
 
 2656 
 
 2719 
 
 2783 
 
 2840 
 
 2910 
 
 2973 
 
 3037 
 
 
 J 
 
 6 
 
 44 
 
 3100 
 
 3163 
 
 3227 
 
 3290 
 
 3354 
 
 3417 
 
 3481 
 
 3544 
 
 3008 
 
 3071 
 
 
 •2 
 
 3 
 
 13 
 19 
 
 45 
 
 3735 
 
 3798 
 
 3861 
 
 3925 
 
 3988 
 
 4052 
 
 4115 
 
 4179 
 
 4242 
 
 4300 
 
 
 4 
 
 25 
 
 46 
 
 4369 
 
 4432 
 
 4496 
 
 4559 
 
 4023 
 
 4686 
 
 4750 
 
 4813 
 
 4870 
 
 4940 
 
 
 5 
 
 32 
 
 47 
 
 5003 
 
 5067 
 
 5130 
 
 5194 
 
 5257 
 
 5320 
 
 5384 
 
 5447 
 
 5511 
 
 5574 
 
 
 6 
 7 
 
 8 
 
 38 
 44 
 50 
 
 48 
 
 5638 
 
 5701 
 
 .5764 
 
 5828 
 
 5891 
 
 5955 
 
 0018 
 
 6081 
 
 0145 
 
 0208 
 
 
 • 49 
 
 N.j 
 
 6272 
 
 6335 
 1 
 
 6398 
 
 6462 
 
 3 
 
 0525 
 
 4 
 
 6589 
 ~5~ 
 
 6652 
 
 6 
 
 6716 
 7 
 
 6779 
 8 
 
 0842 
 
 9 
 
 D 
 
 9 
 
 57 
 
 
 
 Pts. 
 
N.6'85 L.835 of numbers. (123)| 
 
 N. 
 
 ^350 
 
 
 
 1 
 
 6969 
 
 7033 
 
 S 
 
 7096 
 
 4 
 
 7159 
 
 5 
 
 7223 
 
 6 
 
 7286 
 
 7 
 
 7349 
 
 8 
 7413 
 
 9 
 
 7476 
 
 D 
 
 l>ro. 
 
 8356906 
 
 51 
 
 7540 
 
 7603 
 
 7666 
 
 7730 
 
 7793 
 
 7857 
 
 7920 
 
 7983 
 
 8047 
 
 8110 
 
 
 63 
 
 52 
 
 8174 
 
 8237 
 
 8300 
 
 8364 
 
 8427 
 
 8490 
 
 8554 
 
 8617 
 
 8681 
 
 8744 
 
 
 1 6 
 
 53 
 
 8807 
 
 8871 
 
 8934 
 
 8997 
 
 9061 
 
 9124 
 
 9188 
 
 9251 
 
 9314 
 
 9378 
 
 
 2 13 
 
 3 19 
 
 4 25 
 
 54 
 
 9441 
 
 9504 
 
 9568 
 
 9631 
 
 9694 
 
 9758 
 
 9821 
 
 9885 
 
 9948 
 
 OOll 
 
 
 55 
 
 8360075 
 
 0138 
 
 0201 
 
 0265 
 
 0328 
 
 0391 
 
 0455 
 
 0518 
 
 0581 
 
 0645 
 
 
 5 32 
 
 56 
 
 0708 
 
 0771 
 
 0835 
 
 0898 
 
 0961 
 
 1025 
 
 1088 
 
 1151 
 
 1215 
 
 1278 
 
 
 6 38 
 
 7 44 
 
 8 50 
 
 57 
 
 1341 
 
 1405 
 
 1468 
 
 1531 
 
 1595 
 
 1658 
 
 1721 
 
 1785 
 
 1848 
 
 1911 
 
 
 58 
 
 1975 
 
 2038 
 
 2101 
 
 2165 
 
 2228 
 
 2291 
 
 2355 
 
 2418 
 
 2481 
 
 2545 
 
 
 9 57 
 
 59 
 
 2608 
 
 2671 
 
 2735 
 
 2798 
 
 2861 
 
 2925 
 
 2988 
 
 3051 
 
 3115 
 
 3178 
 
 
 
 6860 
 
 3241 
 
 3304 
 
 3368 
 
 3431 
 
 3494 
 
 3558 
 
 3621 
 
 3684 
 
 3748 
 
 3811 
 
 
 
 61 
 
 3874 
 
 3937 
 
 4001 
 
 4064 
 
 4127 
 
 4191 
 
 4254 
 
 4317 
 
 4381 
 
 4444 
 
 
 
 62 
 
 4507 
 
 4570 
 
 4634 
 
 4697 
 
 4760 
 
 4824 
 
 4887 
 
 4950 
 
 5013 
 
 5077 
 
 
 
 63 
 
 5140 
 
 5203 
 
 5267 
 
 5330 
 
 5393 
 
 5456 
 
 5520 
 
 5583 
 
 5646 
 
 5709 
 
 
 
 64 
 
 5773 
 
 5836 
 
 5899 
 
 5963 
 
 6026 
 
 6089 
 
 6152 
 
 6216 
 
 6279 
 
 6342 
 
 
 
 65 
 
 6405 
 
 6469 
 
 6532 
 
 6595 
 
 6658 
 
 6722 
 
 6785 
 
 6848 
 
 6911 
 
 6975 
 
 
 
 66 
 
 7038 
 
 7101 
 
 7164 
 
 7228 
 
 7291 
 
 7354 
 
 7417 
 
 7481 
 
 7544 
 
 7607 
 
 
 
 67 
 
 7670 
 
 7734 
 
 7797 
 
 7860 
 
 7923 
 
 7987 
 
 8050 
 
 8113 
 
 8176 
 
 8240 
 
 
 
 68 
 
 8303 
 
 8366 
 
 8429 
 
 8493 
 
 8556 
 
 8619 
 
 8682 
 
 8745 
 
 8809 
 
 8872 
 
 
 
 69 
 
 8935 
 
 8998 
 
 9062 
 
 9125 
 
 9188 
 
 9251 
 
 9314 
 
 9378 
 
 9441 
 
 9504 
 
 
 
 6870 
 
 9567 
 
 9631 
 
 9694 
 
 9757 
 
 9820 
 
 9883 
 
 9947 
 
 0010 
 
 0073 
 
 0136 
 
 
 
 71 
 
 8370199 
 
 0263 
 
 0326 
 
 0389 
 
 0452 
 
 0516 
 
 0579 
 
 0642 
 
 0705 
 
 0768 
 
 
 
 72 
 
 0832 
 
 0895 
 
 0958 
 
 1021 
 
 1084 
 
 1147 
 
 1211 
 
 1274 
 
 1337 
 
 1400 
 
 
 
 73 
 
 1463 
 
 1527 
 
 1590 
 
 1653 
 
 1716 
 
 1779 
 
 1843 
 
 1906 
 
 1969 
 
 2032 
 
 
 
 74 
 
 2095 
 
 2158 
 
 2222 
 
 2285 
 
 2348 
 
 2411 
 
 2474 
 
 2538 
 
 2601 
 
 2664 
 
 
 
 75 
 
 2727 
 
 2790 
 
 2853 
 
 2917 
 
 2980 
 
 3043 
 
 3106 
 
 3169 
 
 3232 
 
 3290 
 
 
 
 76 
 
 3359 
 
 3422 
 
 3485 
 
 3548 
 
 3611 
 
 3674 
 
 3738 
 
 3801 
 
 3864 
 
 3927 
 
 
 
 77 
 
 3990 
 
 4053 
 
 4117 
 
 4180 
 
 4243 
 
 4306 
 
 4369 
 
 4432 
 
 4495 
 
 4559 
 
 
 
 78 
 
 4622 
 
 4685 
 
 4748 
 
 4811 
 
 4874 
 
 4937 
 
 5001 
 
 5064 
 
 5127 
 
 5190 
 
 
 
 79 
 
 5253 
 
 5316 
 
 5379 
 
 5442 
 
 5506 
 
 5569 
 
 5632 
 
 5695 
 
 5758 
 
 5821 
 
 
 
 6880 
 
 5884 
 
 5948 
 
 6011 
 
 6074 
 
 6137 
 
 6200 
 
 6263 
 
 6326 
 
 6389 
 
 6452 
 
 
 
 81 
 
 6516 
 
 6579 
 
 6642 
 
 6705 
 
 6768 
 
 6831 
 
 6894 
 
 6957 
 
 7020 
 
 7084 
 
 
 
 82 
 
 7147 
 
 7210 
 
 7273 
 
 7336 
 
 7399 
 
 7462 
 
 7525 
 
 7538 
 
 7652 
 
 7715 
 
 
 
 83 
 
 7778 
 
 7841 
 
 7904 
 
 7967 
 
 8030 
 
 8093 
 
 8156 
 
 8219 
 
 8282 
 
 8346 
 
 
 
 84 
 
 8409 
 
 8472 
 
 8535 
 
 8598 
 
 8661 
 
 8724 
 
 8787 
 
 8850 
 
 8913 
 
 8976 
 
 
 
 85 
 
 9039 
 
 9103 
 
 9166 
 
 9229 
 
 9292 
 
 9355 
 
 9418 
 
 9481 
 
 9544 
 
 9607 
 
 
 
 86 
 
 9670 
 
 9733 
 
 9796 
 
 9859 
 
 9922 
 
 9986 
 
 0049 
 
 0112 
 
 0175 
 
 0238 
 
 
 
 87 
 
 8380301 
 
 0364 
 
 0427 
 
 0490 
 
 0553 
 
 0616 
 
 0679 
 
 0742 
 
 0805 
 
 0868 
 
 
 
 88 
 
 0931 
 
 0994 
 
 1057 
 
 1121 
 
 1184 
 
 1247 
 
 1310 
 
 1373 
 
 1436 
 
 1499 
 
 
 
 89 
 
 1562 
 
 1625 
 
 1688 
 
 1751 
 
 1814 
 
 1877 
 
 1940 
 
 2003 
 
 2066 
 
 2129 
 
 
 
 6890 
 
 2192 
 
 2255 
 
 2318 
 
 2381 
 
 2444 
 
 2507 
 
 2570 
 
 2633 
 
 2696 
 
 2759 
 
 
 
 01 
 
 2822 
 
 2886 
 
 2949 
 
 3012 
 
 3^075 
 
 3138 
 
 3201 
 
 3264 
 
 3327 
 
 3390 
 
 
 
 92 
 
 3453 
 
 3516 
 
 3579 
 
 3642 
 
 3705 
 
 3768 
 
 3831 
 
 3894 
 
 3957 
 
 4020 
 
 
 62 
 
 93 
 
 4083 
 
 4146 
 
 4209 
 
 4272 
 
 4335 
 
 4398 
 
 4461 
 
 4524 
 
 4587 
 
 4650 
 
 63 
 
 1 6 
 
 94 
 
 4713 
 
 4776 
 
 4839 
 
 4902 
 
 4965 
 
 5028 
 
 5091 
 
 5154 
 
 5217 
 
 5280 
 
 
 2 12 
 
 3 19 
 
 95 
 
 5343 
 
 5406 
 
 5469 
 
 5532 
 
 5595 
 
 . 5658 
 
 5721 
 
 5784 
 
 5847 
 
 5910 
 
 
 4 25 
 
 96 
 
 5973 
 
 6036 
 
 6098 
 
 6161 
 
 6224 
 
 6287 
 
 6350 
 
 6413 
 
 6476 
 
 6539 
 
 
 531 
 
 97 
 
 6602 
 
 6665 
 
 6728 
 
 6791 
 
 6854 
 
 6917 
 
 6980 
 
 7043 
 
 7106 
 
 7169 
 
 
 6 37 
 
 7 43 
 
 8 50 
 
 98 
 
 7232 
 
 7295 
 
 7358 
 
 7421 
 
 7484 
 
 7547 
 
 7610 
 
 7673 
 
 7736 
 
 7798 
 
 
 99 
 
 NT 
 
 ,7861 
 
 7924 
 1 
 
 7987 
 2 
 
 8050 
 
 8113 
 
 8176 
 5 
 
 8239 
 
 6 
 
 8302 
 
 8365 
 
 8428 
 
 9~ 
 
 D 
 
 9 56 
 Pt3. 
 
 
 
(124) 
 
 LOGARITHMS 
 
 N.69O 
 
 N. 
 
 6900 
 01 
 02 
 03 
 04 
 
 05 
 06 
 07 
 08 
 0.5 
 6910 
 11 
 ]2 
 1j 
 14 
 
 15 
 16 
 17 
 18 
 19 
 6920 
 
 21 
 
 22 
 
 23 
 
 24 
 
 
 
 8388491 
 9120 
 9750 
 
 8390379 
 1008 
 
 1637 
 2266 
 2895 
 3523 
 4152 
 
 4780 
 5409 
 6037 
 6666 
 
 7294 
 
 25 
 26 
 27 
 
 28 
 29 
 6930 
 31 
 32 
 33 
 34 
 
 35 
 36 
 31 
 3% 
 39 
 
 6940 
 41 
 42 
 43 
 44 
 
 45 
 46 
 47 
 
 48 
 
 49 
 
 N. 
 
 7922 
 8550 
 9178 
 9806 
 8400433 
 
 1061 
 1688 
 2316 
 2943 
 3571 
 
 4198 
 4825 
 5452 
 6079 
 6706 
 
 7332 
 7959 
 8586 
 9212 
 9838 
 
 8410465 
 1091 
 1717 
 2343 
 2969 
 
 3595 
 4220 
 4846 
 5472 
 6097 
 
 6723 
 
 7348 
 7973 
 8598 
 9223 
 
 ~~0 
 
 1_ 
 
 8554 
 9183 
 9812 
 0442 
 1071 
 
 1700 
 2329 
 2957 
 35)iQ 
 4215 
 
 4843 
 5472 
 6100 
 6728 
 7357 
 
 7985 
 8613 
 9241 
 9868 
 0496 
 
 1124 
 1751 
 2379 
 3006 
 3633 
 
 4260 
 
 4888 
 
 5515 
 
 61411 
 
 6768 
 
 7395 
 
 8022 
 
 8648 
 
 9275 
 
 9901 
 
 0527 
 1153 
 1780 
 2406 
 3031 
 
 3657 
 4283 
 4909 
 5534 
 6160 
 6785 
 7410 
 8036 
 8661 
 9286 
 
 8617 
 9246 
 9875 
 0505 
 1134 
 
 s 
 
 1 
 
 1763 
 2392 
 3020 
 3649 
 
 4278 
 
 4906 
 5535 
 ■3163 
 6791 
 7419 
 
 8047 
 8675 
 9303 
 9931 
 0559 
 
 1186 
 1814 
 2441 
 3069 
 3696 
 
 4323 
 4950 
 5511 
 6204 
 6831 
 
 7458 
 8084 
 8711 
 9337 
 9964 
 0590 
 1216 
 1842 
 2468 
 3094 
 
 3720 
 4346 
 4971 
 5597 
 6222 
 
 6848 
 7473 
 8098 
 8723 
 9348 
 
 8680 
 9309 
 9938 
 0567 
 1197 
 
 1826 
 2454 
 3083 
 3712 
 4341 
 
 4969 
 5597 
 6226 
 6854 
 
 7482 
 
 8110 
 8738 
 9366 
 9994 
 0622 
 
 1249 
 1877 
 2504 
 3132 
 3759 
 
 4386 
 5013 
 5640 
 6267 
 6894 
 
 7520 
 8147 
 8773 
 9400 
 0026 
 
 0653 
 1279 
 1905 
 2531 
 3157 
 
 3782 
 4408 
 5034 
 5659 
 6285 
 
 6910 
 7535 
 8161 
 8786 
 9411 
 
 4 
 
 8743 
 9372 
 0001 
 0630 
 1259 
 
 1888 
 2517 
 3146 
 3775 
 4403 
 5032 
 5660 
 6289 
 6917 
 7545 
 
 8173 
 8801 
 9429 
 0057 
 0684 
 
 J312 
 1939 
 2567 
 3194 
 3821 
 
 4449 
 5076 
 5703 
 6330 
 6956 
 
 7583 
 8210 
 8836 
 9463 
 0089 
 
 0715 
 1341 
 1967 
 2593 
 3219 
 3845 
 4471 
 5096 
 5722 
 6347 
 
 6973 
 7598 
 8223 
 8848 
 9473 
 
 4~ 
 
 8806 
 9435 
 0064 
 0693 
 1322 
 
 1951 
 2580 
 3209 
 3838 
 4466 
 
 5095 
 5723 
 6351 
 6980 
 7608 
 
 8236 
 8864 
 9492 
 0119 
 0747 
 
 1375 
 2002 
 2630 
 3257 
 
 3884 
 
 4511 
 
 5138 
 
 8869 
 9498 
 0127 
 0756 
 1385 
 
 2014 
 2643 
 3272 
 3900 
 4529 
 
 5158 
 5786 
 6414 
 7042 
 7671 
 
 8299 
 8927 
 9554 
 0182 
 0810 
 
 1437 
 2065 
 2692 
 3320 
 3947 
 
 4574 
 5201 
 
 8931 
 9561 
 0190 
 0819 
 1448 
 
 8 
 
 2077 
 2706 
 3335 
 3963 
 4592 
 
 5220 
 5849 
 6477 
 7105 
 7733 
 
 8994 
 9624 
 0253 
 0882 
 1511 
 
 765 5828 
 6392 6455 
 
 7019 
 7646 
 8272 
 8899 
 9525 
 0152 
 
 0778 
 1404 
 2030 
 2656 
 3282 
 
 3908 
 4533 
 5159 
 5784 
 6410 
 
 7035 
 7660 
 8286 
 8911 
 9536 
 
 7082 
 
 7708 
 8335 
 8961 
 9588 
 0214 
 
 0840 
 1467 
 2093 
 2719 
 3344 
 
 3970 
 4596 
 5221 
 5847 
 6472 
 
 7098 
 7723 
 8348 
 8973 
 9598 
 
 "6" 
 
 8361 
 8989 
 9617 
 0245 
 0873 
 
 1500 
 2128 
 2755 
 3382 
 4010 
 
 4637 
 5264 
 5891 
 6518 
 7144 
 
 7771 
 8398 
 9024 
 9650 
 0277 
 
 0903 
 1529 
 2155 
 2781 
 3407 
 
 4033 
 
 4658 
 5284 
 5909 
 Q535 
 
 7160 
 7785 
 8411 
 9036 
 9661 
 
 2140 
 2769 
 3398 
 4026 
 4655 
 
 5283 
 5912 
 6540 
 7168 
 7796 
 
 8424 
 9052 
 9680 
 0308 
 0935 
 
 \563 
 2190 
 2818 
 3445 
 4072 
 
 4699 
 5326 
 5953 
 6580 
 7207 
 
 7834 
 8460 
 9087 
 9713 
 0339 
 
 0966 
 1592 
 2218 
 2844 
 3470 
 
 4095 
 4721 
 5347 
 5972 
 6597 
 
 7223 
 7848 
 8473 
 9098 
 9723 
 
 9 
 
 9057 
 9687 
 0316 
 0945 
 1574 
 
 2203 
 2832 
 3460 
 4089 
 4718 
 
 5346 
 5974 
 6603 
 7231- 
 
 7859 
 
 8487 
 9115 
 9743 
 0371 
 0998 
 
 1626 
 2253 
 2881 
 3508 
 ■4135 
 
 4762 
 5389 
 6016 
 6643 
 7270 
 
 7896 
 8523 
 9149 
 9776 
 0402 
 
 1028 
 1654 
 2280 
 2906 
 3532 
 
 D Pro. 
 
 8 
 
 4158 
 
 4784 
 
 5409 
 
 6035 
 
 6660 
 
 72851 
 
 7910 
 
 8536 
 
 9161 
 
 9786 
 
 63 
 6 
 13 
 19 
 25 
 32 
 38 
 44 
 50 
 57 
 
 9 II D 
 
 62 
 6 
 12 
 19 
 25 
 31 
 37 
 43 
 50 
 56 
 
 PtS. 
 
N.6"95 L.841 OF NUMBERS. (126)1 
 
 N. 
 
 
 
 1 
 
 ■ 99 1 1 
 
 2 
 
 997i 
 
 3 
 
 5 ^03^ 
 
 4 
 
 0098 
 
 5 
 
 0160 
 
 6 
 
 0223 
 
 7 
 
 0285 
 
 8 
 
 0348 
 
 9 
 
 0410 
 
 D 
 
 Pro. 
 
 ■) 841984S 
 
 5 
 
 I 8420473 
 
 053^ 
 
 > 059e 
 
 ] 066C 
 
 0723 
 
 0785 
 
 0848 
 
 0910 
 
 0973 
 
 1035 
 
 
 63 
 
 51 
 
 2 1098 
 
 116C 
 
 ) 1225 
 
 \ 1285 
 
 1348 
 
 1410 
 
 1472 
 
 1535 
 
 1597 
 
 1660 
 
 
 1 6 
 
 5: 
 
 } 1722 
 
 178.^ 
 
 1847 
 
 1910 
 
 1972 
 
 2035 
 
 2097 
 
 2160 
 
 2222 
 
 2284 
 
 
 2 J3 
 
 54 
 
 I. 2347 
 
 2409 
 
 247 S 
 
 > 2534 
 
 2597 
 
 2659 
 
 2722 
 
 2784 
 
 2846 
 
 2909 
 
 
 3 19 
 
 4 25 
 
 5.' 
 
 > 2971 
 
 3034 
 
 309t 
 
 3159 
 
 3221 
 
 3284 
 
 3346 
 
 3408 
 
 3471 
 
 3533 
 
 
 5 32 
 
 5i 
 
 ) 3596 
 
 3658 
 
 3721 
 
 3783 
 
 3845 
 
 3908 
 
 3970 
 
 4033 
 
 4095 
 
 4158 
 
 
 6 38 
 
 51 
 
 4220 
 
 4282 
 
 4345 
 
 4407 
 
 4470 
 
 4532 
 
 4595 
 
 4657 
 
 4719 
 
 4782 
 
 
 7 44 
 
 5S 
 
 4844 
 
 4907 
 
 4969 
 
 5031 
 
 5094 
 
 5156 
 
 5219 
 
 5281 
 
 5344 
 
 5406 
 
 
 8 50 
 
 9 57 
 
 59 
 
 5468 
 
 5531 
 
 5593 
 
 5656 
 
 5718 
 
 5780 
 
 5843 
 
 5905 
 
 5968 
 
 6030 
 
 
 
 696(] 
 
 6092 
 
 6155 
 
 6217 
 
 6280 
 
 6342 
 
 6404 
 
 6467 
 
 6529 
 
 6592 
 
 6654 
 
 
 
 61 
 
 6716 
 
 6779 
 
 6841 
 
 6904 
 
 6966 
 
 70*28 
 
 7091 
 
 7153 
 
 7215 
 
 7278 
 
 
 
 62 
 
 7340 
 
 7403 
 
 7465 
 
 7527 
 
 7590 
 
 7652 
 
 7714 
 
 7777 
 
 7839 
 
 7902 
 
 
 
 63 
 
 7964 
 
 8026 
 
 8089 
 
 S151 
 
 8213 
 
 8276 
 
 8338 
 
 8401 
 
 8463 
 
 8525 
 
 
 
 64 
 
 8588 
 
 8650 
 
 8712 
 
 8775 
 
 8837 
 
 8899 
 
 S962 
 
 9024 
 
 9036 
 
 9149 
 
 
 
 65 
 
 9211 
 
 9274 
 
 9336 
 
 9398 
 
 9461 
 
 9523 
 
 9585 
 
 9648 
 
 9710 
 
 9772 
 
 
 
 66 
 
 9835 
 
 9897 
 
 9959 
 
 0022 
 
 0084 
 
 0146 
 
 0209 
 
 0271 
 
 0333 
 
 0396 
 
 
 , 
 
 67 
 
 8430458 
 
 0520 
 
 0583 
 
 0645 
 
 0707 
 
 0770 
 
 0832 
 
 0894 
 
 0957 
 
 1019 
 
 
 
 68 
 
 1081 
 
 1144 
 
 1206 
 
 1268 
 
 1331 
 
 1393 
 
 1455 
 
 1518 
 
 1580 
 
 1642 
 
 
 
 69 
 
 1705 
 
 1767 
 
 1829 
 
 1892 
 
 1954 
 
 2016 
 
 2079 
 
 2141 
 
 2203 
 
 2265 
 
 
 
 6970 
 
 2328 
 
 2390 
 
 2452 
 
 2515 
 
 2577 
 
 2639 
 
 2702 
 
 2764 
 
 2826 
 
 2889 
 
 
 
 71 
 
 2951 
 
 3013 
 
 3075 
 
 3138 
 
 3200 
 
 3262 
 
 3325 
 
 3387 
 
 3449 
 
 3511 
 
 
 
 72 
 
 3574 
 
 3636 
 
 3698 
 
 3761 
 
 3823 
 
 3885 
 
 3948 
 
 4010 
 
 4072 
 
 4134 
 
 
 
 73 
 
 4f97 
 
 4259 
 
 4321 
 
 4383 
 
 4446 
 
 4508 
 
 4570 
 
 4633 
 
 4695 
 
 4757 
 
 
 
 74 
 
 4819 
 
 4882 
 
 4944 
 
 5006 
 
 5069 
 
 5131 
 
 5193 
 
 5255 
 
 5318 
 
 5380 
 
 
 
 75 
 
 5442 
 
 5504 
 
 5567 
 
 5629 
 
 5691 
 
 5753 
 
 5816 
 
 5878 
 
 5940 
 
 6002 
 
 
 
 76 
 
 6065 
 
 6127 
 
 6189 
 
 6251 
 
 6314 
 
 6376 
 
 6433 
 
 6500 
 
 6563 
 
 6625 
 
 
 
 77 
 
 6687 
 
 6749 
 
 6812 
 
 6874 
 
 6936 
 
 6998 
 
 7061 
 
 7123 
 
 7185 
 
 7247 
 
 
 
 78 
 
 7310 
 
 7372 
 
 7434 
 
 7496 
 
 7559 
 
 7621 
 
 7683 
 
 7745 
 
 7808 
 
 7870 
 
 
 
 79 
 
 7932 
 
 7994 
 
 8056 
 
 8119 
 
 8181 
 
 8243 
 
 8305 
 
 8368 
 
 8430 
 
 8492 
 
 
 
 6980 
 
 8554 
 
 8616 
 
 8679 
 
 8741 
 
 8803 
 
 8865 
 
 8928 
 
 8990 
 
 9052 
 
 9114 
 
 
 
 81 
 
 9176 
 
 9239 
 
 9301 
 
 9363 
 
 9425 
 
 9487 
 
 9550 
 
 9612 
 
 9674 
 
 9736 
 
 
 
 82 
 
 9798 
 
 9861 
 
 9923 
 
 9985 
 
 0047 
 
 0109 
 
 0172 
 
 0234 
 
 0296 
 
 0358 
 
 
 
 83 
 
 8440420 
 
 0483 
 
 0545 
 
 0607 
 
 0669 
 
 0731 
 
 0794 
 
 0856 
 
 0918 
 
 0980 
 
 
 
 84 
 
 1042 
 
 1104 
 
 1167 
 
 1229 
 
 1291 
 
 1353 
 
 1415 
 
 1478 
 
 1540 
 
 1602 
 
 
 
 85 
 
 1664 
 
 1726 
 
 1788 
 
 1851 
 
 1913 
 
 1975 
 
 2037 
 
 2099 
 
 2161 
 
 2224 
 
 
 
 86 
 
 2286 
 
 2348 
 
 2410 
 
 2472 
 
 2534 
 
 2597 
 
 2659 
 
 2721 
 
 2783 
 
 2845 
 
 
 
 87 
 
 2907 
 
 2970 
 
 3032 
 
 3094 
 
 3156 
 
 3218 
 
 3280 
 
 3343 
 
 3405 
 
 3467 
 
 
 
 88 
 
 3529 
 
 ^591 
 
 3653 
 
 3715 
 
 3778 
 
 3840 
 
 3902 
 
 3964 
 
 4026 
 
 4088 
 
 
 
 89 
 
 4150 
 
 4213 
 
 4275 
 
 4337 
 
 4399 
 
 4461 
 
 4523 
 
 4585 
 
 4647 
 
 4710 
 
 
 
 6990 
 
 4772 
 
 4834 
 
 4896 
 
 4958 
 
 5020 
 
 5082 
 
 5145 
 
 5207 
 
 5269 
 
 5331 
 
 
 
 91 
 
 5393 
 
 5455 
 
 5517 
 
 5579 
 
 5642 
 
 5704 
 
 5766 
 
 5828 
 
 5890 
 
 5952 
 
 
 
 92 
 
 6014 
 
 3076 
 
 6138 
 
 6201 
 
 6263 
 
 6325 
 
 6387 
 
 6449 
 
 6511 
 
 6573 
 
 
 62 
 
 93 
 
 6635 
 
 3697 
 
 6759 
 
 6822 
 
 6884 
 
 6946 
 
 7008 
 
 7070 
 
 7132 
 
 7194 
 
 
 1 6 
 
 .94 
 
 7256 ' 
 
 7318 
 
 7380 
 
 7443 
 
 7505 
 
 7567 
 
 7629 
 
 7691 
 
 7753 
 
 7815 
 
 
 2 12 
 
 3 19 
 
 4 25 
 
 95 
 
 7877 ' 
 
 7939 
 
 8001 
 
 8063 
 
 8126 
 
 8188 
 
 8250, 
 
 8312 
 
 8374 
 
 8436 
 
 
 96 
 
 8498 i 
 
 ^560 
 
 8622 
 
 8684 
 
 8746 
 
 8808 
 
 8870 
 
 8933 
 
 8995 
 
 9057 
 
 
 5j31 
 
 97 
 
 9119 < 
 
 H81 
 
 9243 
 
 9305 
 
 9367 
 
 9429 
 
 9491 
 
 9553 
 
 9615 
 
 9677 
 
 
 6 37 
 
 98 
 
 9739 9801 1 
 
 9863 
 
 9926 
 
 9988 
 
 0050 
 
 0112 
 
 0174 
 
 0236 
 
 0298 
 
 
 7 43 
 
 8 50 
 9156 
 
 Pts.l 
 
 ■ — i 
 
 99 
 
 N. 
 
 8450360 ( 
 
 )422 
 1 
 
 0484 
 2 
 
 0546 
 3 
 
 3608 
 
 4 1 
 
 0670 
 
 5 
 
 0732' 
 
 6 
 
 0794 
 
 7 
 
 0856 
 8 
 
 0918 
 
 9 
 
 D 
 
 
 

 ( 1 ^6) LOGARITHMS N. 700 L. 845 
 
 
 _N. 
 
 7000 
 
 
 
 i 
 
 1042 
 
 1104 
 
 s 
 
 1167 
 
 4 
 
 1229 
 
 5 
 
 1291 
 
 ^ 1 
 
 7 
 
 8 
 
 1477 
 
 9 
 
 1539 
 
 D 
 
 Pro. 
 
 
 8450980 
 
 1353 
 
 1415 
 
 
 01 
 
 1601 
 
 1663 
 
 1725 
 
 1787 
 
 1849 
 
 1911 
 
 1973 
 
 2035 
 
 2097 
 
 2159 
 
 
 62 
 
 
 02 
 
 2221 
 
 2283 
 
 2345 
 
 2407 
 
 2469 
 
 2531 
 
 2593 
 
 2655 
 
 2717 
 
 2779 
 
 
 1 6 
 
 
 03 
 
 2841 
 
 2903 
 
 2965 
 
 3027 
 
 3089 
 
 3151 
 
 3213 
 
 3275 
 
 3337 
 
 3399 
 
 
 2 12 
 
 
 04 
 
 3461 
 
 3523 
 
 3585 
 
 3647 
 
 3709 
 
 3771 
 
 3833 
 
 3895 
 
 3957 
 
 4019 
 
 62 
 
 3 19 
 
 4 25 
 
 
 0.5 
 
 4081 
 
 4143 
 
 4205 
 
 4267 
 
 4329 
 
 4391 
 
 4453 
 
 4515 
 
 4577 
 
 4639 
 
 531 
 
 
 06 
 
 4701 
 
 4763 
 
 4825 
 
 4887 
 
 4949 
 
 5011 
 
 5073 
 
 5135 
 
 5197 
 
 5259 
 
 
 6 37 
 
 
 07 
 
 5321 
 
 5383 
 
 5445 
 
 5507 
 
 5569 
 
 5631 
 
 5693 
 
 5755 
 
 5817 
 
 5879 
 
 
 7 43 
 
 8 50 
 
 9 56 
 
 
 08 
 
 5941 
 
 6003 
 
 6065 
 
 6127 
 
 6189 
 
 6251 
 
 6313 
 
 6375 
 
 6437 
 
 6499 
 
 
 
 09 
 
 6561 
 
 6623 
 
 6685 
 
 6746 
 
 6808 
 
 6870 
 
 6932 
 
 6994 
 
 7056 
 
 7118 
 
 
 
 
 7010 
 
 7180 
 
 7242 
 
 7304 
 
 7366 
 
 7428 
 
 7490 
 
 7552 
 
 7614 
 
 7676 
 
 7738 
 
 
 
 
 11 
 
 7800 
 
 7862 
 
 7924 
 
 7986 
 
 8047 
 
 8109 
 
 8171 
 
 8233 
 
 8295 
 
 8357 
 
 
 
 
 12 
 
 8419 
 
 8481 
 
 8543 
 
 8605 
 
 8667 
 
 8729 
 
 8791 
 
 8853 
 
 8915 
 
 8976 
 
 
 
 
 13 
 
 9038 
 
 9100 
 
 9162 
 
 9224 
 
 9286 
 
 9348 
 
 9410 
 
 9472 
 
 9534 
 
 9596 
 
 
 
 
 14 
 
 9658 
 
 9720 
 
 9781 
 
 9843 
 
 9905 
 
 9967 
 
 0029 
 
 0091 
 
 0153 
 
 0215 
 
 
 
 
 15 
 
 8460277 
 
 0339 
 
 0401 
 
 0462 
 
 0524 
 
 0586 
 
 0648 
 
 0710 
 
 0772 
 
 0834 
 
 
 
 
 16 
 
 0896 
 
 0958 
 
 1020 
 
 1082 
 
 1143 
 
 1205 
 
 1267 
 
 1329 
 
 1391 
 
 1453 
 
 
 
 
 17 
 
 1515 
 
 1577 
 
 1639 
 
 1700 
 
 1762 
 
 1824 
 
 1886 
 
 1948 
 
 2010 
 
 2072 
 
 
 
 
 18 
 
 2134 
 
 2196 
 
 2257 
 
 2319 
 
 2381 
 
 2443 
 
 2505 
 
 2567 
 
 2629 
 
 2601 
 
 
 
 
 19 
 
 2752 
 
 2814 
 
 2876 
 
 2938 
 
 3000 
 
 3062 
 
 3124 
 
 3186 
 
 3247 
 
 3309 
 
 
 
 
 7020 
 
 3371 
 
 3433 
 
 3495 
 
 3557 
 
 3619 
 
 3680 
 
 3742 
 
 3804 
 
 3866 
 
 3928 
 
 
 
 
 21 
 
 3990 
 
 4052 
 
 4113 
 
 4175 
 
 4237 
 
 4299 
 
 4361 
 
 4423 
 
 4485 
 
 4546 
 
 
 
 
 22 
 
 4608 
 
 4670 
 
 4732 
 
 4794 
 
 4856 
 
 4917 
 
 4979 
 
 5041 
 
 5103 
 
 5165 
 
 
 
 , 
 
 23 
 
 5227 
 
 5289 
 
 5350 
 
 5412 
 
 5474 
 
 5536 
 
 5598 
 
 5660 
 
 5721 
 
 5783 
 
 
 
 
 24 
 
 5845 
 
 5907 
 
 5969 
 
 6031 
 
 6092 
 
 6154 
 
 6216 
 
 6278 
 
 6340 
 
 6401 
 
 
 
 
 25 
 
 6463 
 
 6525 
 
 6587 
 
 6649 
 
 6711 
 
 6772 
 
 6834 
 
 6896 
 
 6958 
 
 7020 
 
 
 
 
 26 
 
 7081 
 
 7143 
 
 7205 
 
 7267 
 
 7329 
 
 7391 
 
 7452 
 
 7514 
 
 7576 
 
 7638 
 
 
 
 
 27 
 
 7700 
 
 7761 
 
 7823 
 
 7885 
 
 7947 
 
 8009 
 
 8070 
 
 8132 
 
 8194 
 
 8256 
 
 
 
 
 28 
 
 8318 
 
 8379 
 
 8441 
 
 8503 
 
 8565 
 
 8626 
 
 8688 
 
 8750 
 
 8812 
 
 8874 
 
 
 
 
 29 
 
 8935 
 
 8997 
 
 9059 
 
 9121 
 
 9183 
 
 9244 
 
 9306 
 
 9368 
 
 9430 
 
 9491 
 
 
 
 
 7030 
 
 9553 
 
 9615 
 
 9677 
 
 9739 
 
 9800 
 
 9862 
 
 9924 
 
 9986 
 
 0047 
 
 0109 
 
 
 
 
 31 
 
 8470171 
 
 0233 
 
 0295 
 
 0356 
 
 0418 
 
 0480 
 
 0542 
 
 0603 
 
 0665 
 
 0727 
 
 
 
 
 32 
 
 0789 
 
 0850 
 
 0912 
 
 0974 
 
 1036 
 
 1097 
 
 1159 
 
 1221 
 
 1283 
 
 1344 
 
 
 
 
 33 
 
 1406 
 
 146S 
 
 1530 
 
 1591 
 
 1653 
 
 1715 
 
 1777 
 
 1838 
 
 1900 
 
 1962 
 
 
 
 
 34 
 
 2024 
 
 2085 
 
 2147 
 
 2209 
 
 2271 
 
 2332 
 
 2394 
 
 2456 
 
 2518 
 
 2579 
 
 
 
 
 35 
 
 2641 
 
 2703 
 
 2764 
 
 2826 
 
 2888 
 
 2950 
 
 3011 
 
 3073 
 
 3135 
 
 3197 
 
 
 
 
 36 
 
 3258 
 
 3320 
 
 3382 
 
 3443 
 
 3505 
 
 3567 
 
 3629 
 
 3690 
 
 3752 
 
 3814 
 
 
 
 
 37 
 
 3876 
 
 3937 
 
 3999 
 
 4061 
 
 4122 
 
 4184 
 
 4246 
 
 4307 
 
 4369 
 
 4431 
 
 
 
 
 38 
 
 4493 
 
 4554 
 
 4616 
 
 4678 
 
 4739 
 
 4801 
 
 4863 
 
 4925 
 
 4986 
 
 5048 
 
 
 
 
 39 
 
 5110 
 
 5171 
 
 5233 
 
 5295 
 
 5356 
 
 5418 
 
 5480 
 
 5542 
 
 5603 
 
 5665 
 
 
 
 
 7040 
 
 5727 
 
 5788 
 
 5850 
 
 5912 
 
 5973 
 
 6035 
 
 6097 
 
 6158 
 
 6220 
 
 6282 
 
 
 
 
 41 
 
 6343 
 
 6405 
 
 6467 
 
 6528 
 
 6590 
 
 6652 
 
 6714 
 
 6775 
 
 6837 
 
 6899 
 
 
 
 
 42 
 
 6960 
 
 7022 
 
 7084 
 
 7;145 
 
 7207 
 
 7269 
 
 7330 
 
 7392 
 
 7454 
 
 7515 
 
 
 61 
 
 
 43 
 
 7577 
 
 7639 
 
 7700 
 
 7762 
 
 7824 
 
 7885 
 
 7947 
 
 8009 
 
 8070 
 
 8132 
 
 
 1 6 
 
 
 44 
 
 8193 
 
 8255 
 
 8317 
 
 8378 
 
 8440 
 
 8502 
 
 8563 
 
 8625 
 
 8687 
 
 8748 
 
 
 2 12 
 
 3 18 
 
 
 45 
 
 8810 
 
 8872 
 
 8933 
 
 8995 
 
 9057 
 
 9118 
 
 9180 
 
 9241 
 
 9303 
 
 9365 
 
 
 4 24 
 
 
 46 
 
 9426 
 
 9488 
 
 9550 
 
 9611 
 
 9673 
 
 9735 
 
 9796 
 
 9858 
 
 9919 
 
 9981 
 
 
 531 
 
 
 47 
 
 8480043 
 
 0104 
 
 0166 
 
 0228 
 
 0289 
 
 0351 
 
 0412 
 
 0474 
 
 0556 
 
 0597 
 
 
 6i7 
 
 7 43 
 
 8 49 
 
 
 48 
 
 0659 
 
 0721 
 
 0782 
 
 0844 
 
 0905 
 
 0967 
 
 1029 
 
 1090 
 
 1152 
 
 1213 
 
 
 
 49 
 
 N. 
 
 1275 
 
 1337 
 1 
 
 1398 
 2 
 
 1460 
 
 3 
 
 1522 
 
 4 
 
 1583 
 5 
 
 1645 
 
 6 
 
 1706 
 
 7' 
 
 1768 
 8 
 
 1830 
 
 D 
 
 9 55 
 
 Pts. 
 
 
 
 
 9 
 
N. 
 
 705 L.848 OF NUMBERS.' (li^7)"l 
 
 N. 
 
 7O50 
 
 
 
 1 
 
 195: 
 
 2 3 4 
 
 \ 2014 2076 2138 
 
 5 
 
 6 
 
 2261 
 
 7 1 8 
 
 9 
 
 2446 
 
 D 
 
 Pro. 
 
 8481891 
 
 2i9g 
 
 2322 
 
 2384 
 
 51 
 
 2507 
 
 256C 
 
 2630 2692 2754 
 
 2815 
 
 2877 
 
 2938 
 
 3000 
 
 3061 
 
 |62 ( 
 
 52 
 
 3123 
 
 318^ 
 
 3246 
 
 330g 
 
 3369 
 
 3431 
 
 3493 
 
 3554 
 
 3616 
 
 3677 
 
 
 1 6 
 
 53 
 
 3739 
 
 380C 
 
 ) 3862 
 
 3924 
 
 < 3985 
 
 4047 
 
 4108 
 
 4170 
 
 4231 
 
 4293 
 
 
 2 12 
 
 54 
 
 4355 
 
 441 C 
 
 4478 
 
 4539 
 
 4601 
 
 4662 
 
 4724 
 
 4786 
 
 4847 
 
 4909 
 
 
 3 19 
 
 4 25 
 
 55 
 
 4970 
 
 5032 
 
 5093 
 
 5155 
 
 5216 
 
 5278 
 
 5340 
 
 5401 
 
 5463 
 
 5524 
 
 
 531 
 
 56 
 
 5586 
 
 5647 
 
 5709 
 
 5770 
 
 5832 
 
 5893 
 
 5955 
 
 6017 
 
 6078 
 
 6140 
 
 
 6 37L 
 
 74rr 
 
 8 50 
 
 9 5S 
 
 51 
 
 6201 
 
 6263 
 
 6324 
 
 6386 
 
 6447 
 
 6509 
 
 6570 
 
 6632 
 
 6693 
 
 6755 
 
 
 58 
 
 6817 
 
 6878 
 
 6940 
 
 7001 
 
 7063 
 
 7124 
 
 7186 
 
 7247 
 
 7309 
 
 7370 
 
 
 59 
 
 7432 
 
 7493 
 
 7555 
 
 7616 
 
 7678 
 
 7739 
 
 7801 
 
 7862 
 
 7924 
 
 7985 
 
 
 
 7060 
 
 8047 
 
 8109 
 
 8170 
 
 8232 
 
 8293 
 
 8355 
 
 8416 
 
 8478 
 
 8539 
 
 8601 
 
 
 
 61 
 
 8662 
 
 8724 
 
 8785 
 
 8847 
 
 8908 
 
 8970 
 
 9031 
 
 9093 
 
 9154 
 
 9216 
 
 
 
 62 
 
 9277 
 
 9339 
 
 9400 
 
 9462 
 
 9523 
 
 9585 
 
 9646 
 
 9708 
 
 9769 
 
 9831 
 
 
 
 63 
 
 9892 
 
 9954 
 
 0015 
 
 0077 
 
 0138 
 
 0199 
 
 0261 
 
 0322 
 
 0384 
 
 0445 
 
 
 
 64 
 
 8490507 
 
 0568 
 
 0630 
 
 0691 
 
 0753 
 
 0814 
 
 0876 
 
 0937 
 
 0999 
 
 1060 
 
 
 
 Q5 
 
 1122 
 
 1183 
 
 1245 
 
 1306 
 
 1368 
 
 1429 
 
 1490 
 
 1552 
 
 1613 
 
 1675 
 
 
 
 QQ 
 
 1736 
 
 1798 
 
 1859 
 
 1921 
 
 1982 
 
 2044 
 
 2105 
 
 2167 
 
 2228 
 
 2289 
 
 
 
 67 
 
 2351 
 
 2412 
 
 2474 
 
 2535 
 
 2597 
 
 2658 
 
 2720 
 
 2781 
 
 2843 
 
 2904 
 
 
 
 68 
 
 2965 
 
 3027 
 
 3088 
 
 3150 
 
 3211 
 
 3273 
 
 3334 
 
 3396 
 
 3457 
 
 3518 
 
 
 
 69 
 
 3580 
 
 3641 
 
 3703 
 
 3764 
 
 3826 
 
 3887 
 
 3948 
 
 4010 
 
 4071 
 
 4133 
 
 
 
 7070 
 
 4194 
 
 4256 
 
 4317 
 
 4378 
 
 4440 
 
 4501 
 
 4563 
 
 4624 
 
 4686 
 
 4747 
 
 
 
 71 
 
 4808(| 
 
 pt870 
 
 4931 
 
 4993 
 
 5054 
 
 5115 
 
 5177 
 
 5238 
 
 5300 
 
 5361 
 
 
 
 72 
 
 5423 
 
 5484 
 
 5545 
 
 5607 
 
 5668 
 
 5730 
 
 5791 
 
 5852 
 
 5914 
 
 5975 
 
 
 
 Ibi '^^ 
 
 6037 
 
 6098 
 
 6159 
 
 6221 
 
 6282 
 
 6344 
 
 6405 
 
 6466 
 
 6528 
 
 6589 
 
 
 
 1 '' 
 
 6651 
 
 6712 
 
 6773 
 
 6835 
 
 6896 
 
 6958 
 
 7019 
 
 7080 
 
 7142 
 
 7203 
 
 
 
 1 '' 
 
 7264 
 
 7326 
 
 7387 
 
 7449 
 
 7510 
 
 7571 
 
 7633 
 
 7694 
 
 7755 
 
 7817 
 
 
 
 i ^^ 
 
 7878 
 
 7940 
 
 8001 
 
 §062 
 
 8124 
 
 8185 
 
 8246 
 
 8308 
 
 8369 
 
 8431 
 
 
 
 1 ^' 
 
 8492 
 
 8553 
 
 8615 
 
 8676 
 
 8737 
 
 8799 
 
 8860 
 
 8922 
 
 8983 
 
 9044 
 
 
 
 if 78 
 
 9106 
 
 9167 
 
 9228 
 
 9290 
 
 9351 
 
 9412 
 
 9474 
 
 9535 
 
 9596 
 
 9658 
 
 
 
 79 
 
 9719 
 
 9780 
 
 9842 
 
 9903 
 
 9965 
 
 0026 
 
 0087 
 
 0149 
 
 0210 
 
 0271 
 
 
 
 7080 
 
 8500333 
 
 0394 
 
 0455 
 
 0517 
 
 0578 
 
 0639 
 
 0701 
 
 0762 
 
 0823 
 
 0885 
 
 
 
 81 
 
 0946 
 
 1007 
 
 1069 
 
 1130 
 
 1191 
 
 1253 
 
 1314 
 
 1375 
 
 1437 
 
 1498 
 
 
 
 82 
 
 1559 
 
 1621 
 
 1682 
 
 1743 
 
 1805 
 
 1866 
 
 1927 
 
 1988 
 
 2050 
 
 2111 
 
 
 
 83 
 
 2172 
 
 2234 
 
 2295 
 
 2356 
 
 2418 
 
 2479 
 
 2540 
 
 2602 
 
 2663 
 
 2724 
 
 
 
 84 
 
 2786 
 
 2847 
 
 2908 
 
 2969 
 
 3031 
 
 3092 
 
 3153 
 
 3215 
 
 3276 
 
 3337 
 
 
 
 85 
 
 3399 
 
 3460 
 
 3521 
 
 3582 
 
 3644 
 
 3705 
 
 3766 
 
 3828 
 
 3889 
 
 3950 
 
 
 
 86 
 
 4011 
 
 4073 
 
 4134 
 
 4195 
 
 4257 
 
 4518 
 
 4379 
 
 444(; 
 
 4502 
 
 4563 
 
 
 
 87 
 
 4624 
 
 4686 
 
 4747 
 
 4808 
 
 4869 
 
 4931 
 
 4992 
 
 5053 
 
 5115 
 
 5176 
 
 
 
 88 
 
 5237 
 
 5298 
 
 5360 
 
 5421 
 
 5482 
 
 5543 
 
 5605 
 
 5666 
 
 5727 
 
 5788 
 
 
 
 89 
 
 5850 
 
 5911 
 
 5972 
 
 6034 
 
 6095 
 
 6156 
 
 6217 
 
 6279 
 
 6340 
 
 6401 
 
 
 
 7090 
 
 6462 
 
 6524 
 
 6585 
 
 6646 
 
 6707 
 
 6769 
 
 6830 
 
 6891 
 
 6952 
 
 7014 
 
 
 
 91 
 
 7075 
 
 7136 
 
 7197 
 
 7259 
 
 7320 
 
 7381 
 
 7442 
 
 7504 
 
 7565 
 
 7626 
 
 
 
 92 
 
 7687 
 
 7749 
 
 7810 
 
 7871 
 
 7932 
 
 7993 
 
 8055 
 
 8116 
 
 8177 
 
 8238 
 
 
 61 
 
 93 
 
 8300 
 
 3361 
 
 8422 
 
 8483 
 
 8545 
 
 8600 
 
 8667 
 
 S728 
 
 8789 
 
 8851 
 
 
 1 6 
 
 94. 
 
 8912 
 
 8973 
 
 9034 
 
 9095 
 
 9157 
 
 9218 
 
 9279 
 
 )340 
 
 9402 
 
 9463 
 
 
 2 12 
 
 3 18 
 
 95 
 
 9524 
 
 3585 
 
 9646 
 
 9708 
 
 9769 
 
 9830 
 
 9891 
 
 3952 ( 
 
 3014 
 
 0075 
 
 
 4 24 
 
 96 
 
 8510136 ( 
 
 3197 
 
 0258 
 
 3320 
 
 0381 
 
 0442 
 
 0503 ( 
 
 3564 ( 
 
 3626 
 
 0687 
 
 
 531 
 
 97 
 
 0748 ( 
 
 3809 
 
 0870 
 
 3932 
 
 0,993 
 
 1054 
 
 1115 
 
 1176 
 
 1238 
 
 1299 
 
 
 6 37 
 
 7 43 
 3 49 
 
 98 
 
 1360 
 
 1421 
 
 1482 
 
 1544 
 
 1605 
 
 1666 
 
 1727 
 
 1788 
 
 1849 
 
 1911 
 
 
 ' 99 
 
 1972 1 
 
 2033 
 
 2094 
 
 2155 
 
 2216 
 
 2278 
 
 2339 ' 
 
 2400 ' 
 
 2461 
 
 2522 
 
 
 9 55 
 
 N. ■ 
 
 
 
 1 
 
 2 
 
 ~3~ 
 
 4 
 
 5 
 
 6 
 
 T" 
 
 8 
 
 9 
 
 D 
 
 Pts. 
 
(128) LOGARITHMS N.710 L. 85 1 
 
 
 7100 
 
 
 
 1 
 
 2645 
 
 2706 ' 
 
 o 
 
 2767 
 
 4 ( 
 2828 
 
 5 6 
 
 2889 2950| 
 
 '7 
 
 3012 
 
 8 
 
 5073 
 
 9 
 
 3134 
 
 D 
 
 Pro. 
 
 
 8512583 
 
 
 01 
 
 3195 
 
 3256 
 
 3317 
 
 J379 
 
 3440 
 
 3501 
 
 3562 
 
 3623 
 
 3684 
 
 S746 
 
 
 62 
 
 
 02 
 
 3807 
 
 3868 
 
 3929 
 
 3990 
 
 4051 
 
 4112 
 
 1-174 
 
 4235 
 
 4296 
 
 4357 
 
 
 1 6 
 
 
 03 
 
 4418 
 
 4479 
 
 4540 
 
 4602 
 
 4663 
 
 4724 
 
 4785 
 
 i346 
 
 4907 
 
 4968 
 
 
 2 12 
 
 3 19 
 
 4 25 
 
 
 04 
 
 5030 
 
 5091 
 
 5152 
 
 5213 
 
 5274 
 
 53S5 
 
 5396 
 
 5457 
 
 5519 
 
 5580 
 
 
 
 05 
 
 5641 
 
 5702 
 
 5763 
 
 5824 
 
 5885 
 
 5946 
 
 5008 
 
 6069 
 
 6130 
 
 6191 
 
 
 5 31 
 
 
 06 
 
 6252 
 
 6313 
 
 6374 
 
 6435 
 
 6496 
 
 6558 
 
 5619 
 
 6680 
 
 6741 
 
 6802 
 
 
 6 37 
 
 7 43 
 
 8 50 
 
 
 07 
 
 6863 
 
 6924 
 
 6985 
 
 7046 
 
 7108 
 
 7169 
 
 7230 
 
 7291 
 
 7352 
 
 7413 
 
 
 
 08 
 
 7474 
 
 7535 
 
 7596 
 
 7657 
 
 7719 
 
 7780 
 
 7841 
 
 7902 
 
 7963 
 
 8024 
 
 
 9 h6 
 
 
 09 
 
 8085 
 
 8146 
 
 8207 
 
 8268 
 
 8329 
 
 8391 
 
 8452 
 
 8513 
 
 8574 
 
 8635 
 
 
 
 
 7110 
 
 8696 
 
 8757 
 
 8818 
 
 8879 
 
 8940 
 
 9001 
 
 9062 
 
 9124 
 
 9185 
 
 9246 
 
 
 
 
 11 
 
 9307 
 
 9368 
 
 9429 
 
 9490 
 
 9551 
 
 9612 
 
 9673 
 
 9734 
 
 9795 
 
 9856 
 
 
 
 
 12 
 
 9917 
 
 9979 
 
 0040 
 
 0101 
 
 0162 
 
 0223 
 
 0284 
 
 0345 
 
 0406 
 
 0467 
 
 
 
 
 13 
 
 8520528 
 
 0589 
 
 0650 
 
 0711 
 
 0772 
 
 0833 
 
 0894 
 
 0955 
 
 1017 
 
 1078 
 
 
 
 
 14 
 
 1139 
 
 1200 
 
 1261 
 
 1322 
 
 1383 
 
 1444 
 
 1505 
 
 1566 
 
 1627 
 
 1688 
 
 
 
 
 15 
 
 1749 
 
 1810 
 
 1871 
 
 1932 
 
 1993 
 
 2054 
 
 2115 
 
 2176 
 
 2237 
 
 2298 
 
 
 
 
 16 
 
 2359 
 
 2420 
 
 2481 
 
 2542 
 
 2604 
 
 2665 
 
 2726 
 
 2787 
 
 2848 
 
 2909 
 
 
 
 
 17 
 
 2970 
 
 3031 
 
 3092 
 
 3153 
 
 3214 
 
 3275 
 
 3336 
 
 3397 
 
 3458 
 
 3519 
 
 
 
 
 18 
 
 3580 
 
 3641 
 
 3702 
 
 3763 
 
 3824 
 
 3885 
 
 3946 4007 
 
 4068 
 
 4129 
 
 
 
 
 . 19 
 
 4190 
 
 4251 
 
 4312 
 
 4373 
 
 4434 
 
 4495 
 
 4556 4617 
 
 4678 
 
 4739 
 
 61 
 
 
 
 7120 
 
 4800 
 
 4861 
 
 4922 
 
 49 8 3 
 
 5044 
 
 5105 
 
 5166 
 
 5227 
 
 5288 
 
 5349 
 
 
 
 
 21 
 
 5410 
 
 5471 
 
 5532 
 
 5593 
 
 5654 
 
 5715 
 
 5776 
 
 5837 
 
 5898 
 
 5959 
 
 
 
 
 22 
 
 6020 
 
 6081 
 
 6142 
 
 6203 
 
 6264 
 
 6325 
 
 6386 
 
 6447 
 
 6508 
 
 6568 
 
 
 
 
 23 
 
 6629 
 
 6690 
 
 6751 
 
 6S12 
 
 6873 
 
 6934 
 
 6995 
 
 7056 
 
 7117 
 
 7178 
 
 
 
 
 24 
 
 7239 
 
 7300 
 
 7361 
 
 7422 
 
 7483 
 
 7544 
 
 7005 
 
 7666 
 
 7727 
 
 7788 
 
 
 
 
 25 
 
 7849 
 
 7910 
 
 7971 
 
 8032- 
 
 8092 
 
 8153 
 
 8214 
 
 8275 
 
 8336 
 
 8397 
 
 
 
 
 26 
 
 8458 
 
 8519 
 
 8580 
 
 8641 
 
 8702 
 
 8763 
 
 882^ 
 
 ^8885 
 
 8946 
 
 9007 
 
 
 
 
 27 
 
 9Q68 
 
 9129 
 
 9189 
 
 9250 
 
 9311 
 
 9372 
 
 943319494 
 
 9555 
 
 9616 
 
 
 
 
 28 
 
 9677 
 
 9738 
 
 9799 
 
 9860 
 
 9921 
 
 9982 
 
 0042 
 
 0103 
 
 0164 
 
 0225 
 
 
 
 
 29 
 
 8530286 
 
 0347 
 
 0408 
 
 0469 
 
 0530 
 
 0591 
 
 0652 
 
 0713 
 
 0773 
 
 0834 
 
 
 
 
 7130 
 
 0895 
 
 0956 
 
 1017 
 
 1078 
 
 1139 
 
 1200 
 
 1261 
 
 1322 
 
 1383 
 
 1443 
 
 
 
 
 31 
 
 1504 
 
 1565 
 
 1626 
 
 1687 
 
 17 48 
 
 1809 
 
 1870 
 
 1931 
 
 1992 
 
 2052 
 
 
 
 
 32 
 
 2113 
 
 2174 
 
 2235 
 
 2296 
 
 2357 
 
 2418 
 
 2479 
 
 2540 
 
 2600 
 
 2661 
 
 
 
 
 33 
 
 2722 
 
 2783 
 
 2844 
 
 2905 
 
 2966 
 
 3027 
 
 3088 
 
 3148 
 
 3209 
 
 3270 
 
 
 
 
 34 
 
 3331 
 
 3392 
 
 3453 
 
 3514 
 
 3575 
 
 3635 
 
 3696 
 
 3757 
 
 3818 
 
 3879 
 
 
 
 
 35 
 
 3940 
 
 4001 
 
 4062 
 
 4122 
 
 4183 
 
 4244 
 
 4305 
 
 4366 
 
 4427 
 
 4488 
 
 
 
 
 36 
 
 4548 
 
 4609 
 
 4670 
 
 4731 
 
 4792 
 
 4853 
 
 4914 
 
 4974 
 
 5035 
 
 5096 
 
 
 
 
 37 
 
 5J57 
 
 5218 
 
 5279 
 
 5340 
 
 5400 
 
 5461 
 
 5522 
 
 5583 
 
 5644 
 
 5705 
 
 
 
 
 38 
 
 5765 
 
 5826 
 
 5887 
 
 5948 
 
 6009 
 
 6070 
 
 6130 
 
 6191 
 
 6252 
 
 63 1 3 
 
 
 
 
 39 
 
 6374 
 
 6435 
 
 6495 
 
 6556 
 
 6617 
 
 6678 
 
 6739 
 
 6800 
 
 6860 
 
 6921 
 
 
 
 
 7I4C 
 
 6982 
 
 7043 
 
 7104 
 
 7165 
 
 7225 
 
 7286 
 
 7347 
 
 7408 
 
 7469 
 
 7530 
 
 
 1 
 
 
 41 
 
 7590 
 
 7651 
 
 7712 
 
 7773 
 
 7834 
 
 7894 
 
 7955 
 
 8016 
 
 8077 
 
 8138 
 
 
 
 
 42 
 
 8198 
 
 8259 
 
 8320 
 
 8381 
 
 8442 
 
 850S; 
 
 8563 
 
 8624 
 
 8685 
 
 8746 
 
 
 61 
 
 
 43 
 
 8807 
 
 8867 
 
 8928 
 
 8989 
 
 9050 
 
 9ilC 
 
 9171 
 
 9232 
 
 9293 
 
 9354 
 
 
 1 6 
 
 
 44 
 
 9414 
 
 9475 
 
 9536 
 
 9597 
 
 9658 
 
 9718 
 
 9779 
 
 9840 
 
 9901 
 
 9962 
 
 
 2 12 
 
 3 18 
 
 
 45 
 
 8540022 
 
 0083 
 
 0144 
 
 0205 
 
 0265 
 
 032e 
 
 0387 
 
 0448 
 
 0509 
 
 0569 
 
 
 4 24 
 
 
 46 
 
 0630 
 
 0691 
 
 0752 
 
 0812 
 
 0873 
 
 0934 
 
 0995 
 
 1056 
 
 1116 
 
 1177 
 
 
 5 31 
 
 
 47 
 
 1238 
 
 1299 
 
 1359 
 
 1420 
 
 1481 
 
 1542 
 
 1602 
 
 1663 
 
 1724 
 
 1785 
 
 
 6 37 
 
 7 43 
 
 
 48 
 
 1845 
 
 1906 
 
 1967 
 
 2028 
 
 2088 
 
 2149 
 
 2210 
 
 227 J 
 
 2331 
 
 2392 
 
 
 8 49 
 
 
 49 
 
 N. 
 
 2453 
 
 2514 
 
 2574 
 2 
 
 2635 
 
 2696 
 
 4 
 
 2757 
 
 5 
 
 2817 
 
 ~6" 
 
 2878 
 
 2939 
 
 3000 
 
 9 
 
 D 
 
 9 55 
 
 Pts. 
 
 
 
 
 1 
 
 3 
 
 7 
 
 8 
 
 
N.71^ L. 8,54 OF NUMBERS. (129) 
 
 N. 
 
 7150 
 
 
 
 1 
 
 2 
 3782 
 
 3 
 
 3243 
 
 4 
 
 3303 
 
 5 
 
 3364 
 
 6 
 
 3 125 
 
 7 
 
 3486 
 
 8 
 
 3546 
 
 9 
 
 3607 
 
 D 
 
 Pro. 
 
 8543060 
 
 3121 
 
 51 
 
 3668 
 
 3729 
 
 3789 
 
 3850 
 
 3911 
 
 3971 
 
 4032 
 
 4093 
 
 4154 
 
 4214 
 
 
 61 
 
 52 
 
 4275 
 
 4336 
 
 4397 
 
 4457 
 
 45 1 8 
 
 4579 
 
 4639 
 
 4700 
 
 4761 
 
 4822 
 
 
 1 
 
 6 
 
 5.3 
 
 4882 
 
 4943 
 
 5004 
 
 5064 
 
 5125 
 
 5186 
 
 5247 
 
 5307 
 
 5368 
 
 5429 
 
 
 2 
 3 
 4 
 
 12 
 18 
 24 
 
 54 
 
 5489 
 
 5550 
 
 5611 
 
 5671 
 
 5732 
 
 5793 
 
 5854 
 
 5914 
 
 5975 
 
 6036 
 
 
 55 
 
 6096 
 
 6157 
 
 6218 
 
 6278 
 
 6339 
 
 6400 
 
 6461 
 
 6521 
 
 6582 
 
 6643 
 
 
 6 
 
 31 
 
 56 
 
 6703 
 
 6764 
 
 6825 
 
 6885 
 
 6946 
 
 7007 
 
 7067 
 
 7128 
 
 7189 
 
 7249 
 
 
 6 
 
 7 
 
 g 
 
 37 
 43 
 49 
 
 51 
 
 7510 
 
 7371 
 
 7432 
 
 7492 
 
 7553 
 
 7614 
 
 7674 
 
 7735 
 
 7796 
 
 7856 
 
 
 58 
 
 7917' 
 
 7978 
 
 8038 
 
 8099 
 
 8160 
 
 8220 
 
 8281 
 
 8342 
 
 8402 
 
 8463 
 
 
 9 
 
 55 
 
 59 
 
 8524 
 
 8584 
 
 8645 
 
 8706 
 
 8766 
 
 8827 
 
 8888 
 
 8948 
 
 9009 
 
 9070 
 
 
 
 71-60 
 
 9130 
 
 9191 
 
 9252 
 
 9312 
 
 9373 
 
 9433 
 
 9494 
 
 9555 
 
 9615 
 
 9676 
 
 
 
 61 
 
 9737 
 
 9797 
 
 9858 
 
 9919 
 
 9979 
 
 0040 
 
 0101 
 
 0161 
 
 0222 
 
 0283 
 
 
 
 62 
 
 8550343 
 
 0404 
 
 0464 
 
 0525 
 
 0586 
 
 0646 
 
 0707 
 
 0768 
 
 0823 
 
 0889 
 
 
 
 63 
 
 0950 
 
 1010 
 
 1071 
 
 1131 
 
 1192 
 
 1253 
 
 1313 
 
 1374 
 
 1435 
 
 1495 
 
 
 
 64 
 
 1556 
 
 1616 
 
 1677 
 
 1738 
 
 1798 
 
 1859 
 
 1919 
 
 1980 
 
 2041 
 
 2101 
 
 
 
 Q5 
 
 2162 
 
 2223 
 
 2283 
 
 2344 
 
 2404 
 
 2465 
 
 2526 
 
 2586 
 
 2647 
 
 2707 
 
 
 
 60 
 
 2768 
 
 2829 
 
 2889 
 
 2950 
 
 3010 
 
 3071 
 
 3132 
 
 3192 
 
 3253 
 
 3313 
 
 
 
 67 
 
 3374 
 
 3435 
 
 3495 
 
 3556 
 
 3616 
 
 3677 
 
 3738 
 
 3798 
 
 3859 
 
 3919 
 
 
 
 68 
 
 3980 
 
 4041 
 
 1101 
 
 4162 
 
 4222 
 
 4283 
 
 4343 
 
 4404 
 
 4465 
 
 4525 
 
 
 
 69 
 
 4586 
 
 4646 
 
 4707 
 
 4768 
 
 4828 
 
 4889 
 
 4949 
 
 5010 
 
 5070 
 
 5131 
 
 
 
 7170 
 
 5192 
 
 5252 
 
 5313 
 
 5373 
 
 5434 
 
 5494 
 
 5555 
 
 5616 
 
 5676 
 
 5737 
 
 
 
 71 
 
 5797 
 
 5858 
 
 5918 
 
 5979 
 
 6039 
 
 6100 
 
 6161 
 
 6221 
 
 6282 
 
 6342 
 
 
 
 72 
 
 6403 
 
 6463 
 
 6524 
 
 6584 
 
 6645 
 
 6708 
 
 6766 
 
 6827 
 
 6887 
 
 6948 
 
 
 
 73 
 
 7008 
 
 7069 
 
 7129 
 
 7190 
 
 7250 
 
 7311 
 
 7372 
 
 7432 
 
 7493 
 
 7553 
 
 
 
 74^ 
 
 7614 
 
 7674 
 
 7735 
 
 7795 
 
 7856 
 
 7916 
 
 7977 
 
 8037 
 
 8098 
 
 8159 
 
 
 
 75 
 
 8219 
 
 8280 
 
 8340 
 
 8401 
 
 8461 
 
 8522 
 
 8582 
 
 8643 
 
 8703 
 
 8764 
 
 
 
 76 
 
 8821. 
 
 8885 
 
 8945 
 
 9006 
 
 9066 
 
 9127 
 
 9187 
 
 9248 
 
 9308 
 
 9369 
 
 
 
 77 
 
 9429 
 
 9490 
 
 9550 
 
 9611 
 
 9672 
 
 9732 
 
 9793 
 
 9853 
 
 9914 
 
 9974 
 
 
 
 78 
 
 8560035 
 
 0095 
 
 0156 
 
 0216 
 
 0277 
 
 0337 
 
 0398 
 
 0458 
 
 0519 
 
 0579 
 
 
 
 79 
 
 0640 
 
 0700 
 
 0761 
 
 0821 
 
 0882 
 
 0942 
 
 1002 
 
 1063 
 
 1123 
 
 1184 
 
 
 
 7180 
 
 1244 
 
 1305 
 
 1365 
 
 1426 
 
 1486 
 
 1547 
 
 1607 
 
 1668 
 
 1728 
 
 1789 
 
 
 
 81 
 
 1849 
 
 1910 
 
 1970 
 
 2031 
 
 2091 
 
 2152 
 
 2212 
 
 2273 
 
 2333 
 
 2394 
 
 
 
 82 
 
 2454 
 
 2514 
 
 2575 
 
 2635 
 
 2696 
 
 2756 
 
 2817 
 
 2877 
 
 2938 
 
 2998 
 
 
 
 83 
 
 3059 
 
 3119 
 
 3180 
 
 3240 
 
 3301 
 
 3361 
 
 3421 
 
 3482 
 
 3542 
 
 3603 
 
 
 
 84 
 
 3663 
 
 3724 
 
 3784 
 
 3845 
 
 3905 
 
 3965 
 
 4026 
 
 4086 
 
 4147 
 
 4207 
 
 
 
 85 
 
 4268 
 
 4328 
 
 4389 
 
 4449 
 
 4509 
 
 4570 
 
 4630 
 
 4691 
 
 4751 
 
 4812 
 
 
 
 86 
 
 4872 
 
 4933 
 
 4993 
 
 5053 
 
 5114 
 
 5174 
 
 5235 
 
 5295 
 
 5356 
 
 5416 
 
 
 
 87 
 
 5476 
 
 5537 
 
 5597 
 
 5658 
 
 5718 
 
 "5779 
 
 5839 
 
 5899 
 
 5960 
 
 6020 
 
 
 
 88 
 
 6081 
 
 6141 
 
 6202 
 
 6262 
 
 6322 
 
 6383 
 
 6443 
 
 6504 
 
 6564 
 
 6624 
 
 
 
 89 
 
 6685 
 
 6745 
 
 6806 
 
 6866 
 
 6926 
 
 6987 
 
 7047 
 
 7108 
 
 7168 
 
 7229 
 
 
 
 7190 
 
 7289 
 
 7349 
 
 7410 
 
 7470 
 
 7531 
 
 7591 
 
 7651 
 
 7712 
 
 7772 
 
 7832 
 
 
 
 91 
 
 7893 
 
 7953 
 
 8014 
 
 8074 
 
 8134 
 
 8195 
 
 8255 
 
 8316 
 
 8376 
 
 8436 
 
 
 
 92 
 
 8497 
 
 8557 
 
 8618 
 
 8678 
 
 8738 
 
 8799 
 
 8859 
 
 8919 
 
 8980 
 
 9040 
 
 
 60 
 
 93 
 
 9101 
 
 9161 
 
 9221 
 
 9282 
 
 9342 
 
 9402 
 
 9463 
 
 9523 
 
 9584 
 
 9644 
 
 
 1 
 
 6 
 
 94 
 
 9704 
 
 9765 
 
 9825 
 
 9885 
 
 9946 
 
 0006 
 
 0067 
 
 0127 
 
 0187 
 
 0248 
 
 
 2 
 
 12 
 
 95 
 
 8570308 
 
 0368 
 
 0429 
 
 04^89 
 
 0549 
 
 0610 
 
 0670 
 
 0730 
 
 0791 
 
 0851 
 
 
 3 
 4 
 
 18 
 24 
 
 96 
 
 0912 
 
 0972 
 
 1032 
 
 1093 
 
 1153 
 
 1213 
 
 1274 
 
 1334 
 
 1394 
 
 1455 
 
 
 5 
 
 30 
 
 97 
 
 1515 
 
 1575 
 
 1636 
 
 1696 
 
 1756 
 
 1S17 
 
 1877 
 
 1937 
 
 1998 
 
 2058 
 
 
 6 
 
 36 
 
 98 
 
 2118 
 
 2179 
 
 2239 
 
 2299 
 
 2360 
 
 2420 
 
 2480 
 
 2541 
 
 2601 
 
 2661 
 
 
 7 
 
 42 
 
 48 
 54 
 
 99 
 
 2722 
 
 2782 
 
 2842 
 
 2903 
 
 2963- 
 
 4 11 
 
 3023 
 5 
 
 3084 
 
 6 
 
 3144 
 
 7 
 
 3204 
 8 
 
 3265 
 
 9 
 
 D 
 
 8 
 9 
 
 N. 
 
 
 
 1 
 
 2 
 
 P 
 
 ts. 
 
(130) LOGARITHMS N.7^iOL. 857 
 
 N. 
 
 7200 
 
 
 
 1 
 3385 
 
 2 
 i446 
 
 3.306 
 
 4 
 
 3566 
 
 5 
 
 3627 
 
 6 
 
 3687 
 
 7 
 
 3747 
 
 8 
 
 3807 
 
 9 
 
 3868 
 
 1) 
 
 Pro. 
 
 8573325 
 
 01 
 
 3928 
 
 3988 
 
 4049 
 
 4109 
 
 4169 
 
 4230 
 
 4290 
 
 4350 
 
 4411 
 
 4471 
 
 
 60 
 
 02 
 
 4531 
 
 4591 
 
 4652 
 
 4712 
 
 4772 
 
 4833 
 
 4893 
 
 4953 
 
 5014 
 
 5074 
 
 
 1 6 
 
 03 
 
 5134 
 
 5194 
 
 5255 
 
 5315 
 
 5375 
 
 5k36 
 
 5496 
 
 5556 
 
 5616 
 
 5677 
 
 
 2 12 
 
 04. 
 
 5737 
 
 5797 
 
 5858 
 
 5918 
 
 5978 
 
 6038 
 
 6099 
 
 6159 
 
 6219 
 
 6280 
 
 
 3 18 
 
 4 24 
 
 05 
 
 6340 
 
 6100 
 
 6460 
 
 6521 
 
 6581 
 
 6641 
 
 6701 
 
 6762 
 
 6822 
 
 6882 
 
 
 5 30 
 
 06 
 
 6943 
 
 7003 
 
 7063 
 
 7123 
 
 7184 
 
 7244 
 
 7304 
 
 7364 
 
 7425 
 
 7485 
 
 
 6 36 
 
 7 42 
 
 8 48 
 
 07 
 
 7545 
 
 7605 
 
 7666 
 
 7726 
 
 7786 
 
 7847 
 
 7907 
 
 7967 
 
 8027 
 
 8088 
 
 
 08 
 
 8148 
 
 8208 
 
 8268 
 
 8329 
 
 8389 
 
 ,8449 
 
 8509 
 
 8570 
 
 8630 
 
 8690 
 
 
 9 54 
 
 09 
 
 8750 
 
 8810 
 
 8871 
 
 8931 
 
 8991 
 
 9051 
 
 9112 
 
 9172 
 
 9232 
 
 9292 
 
 
 
 7210 
 
 9353 
 
 9413 
 
 9473 
 
 9533 
 
 9594 
 
 9654 
 
 9714 
 
 9774 
 
 9835 
 
 9895 
 
 
 •* 
 
 11 
 
 9955 
 
 0015 
 
 0075 
 
 0136 
 
 0196 
 
 0256 
 
 0316 
 
 0377 
 
 0437 
 
 0497 
 
 
 
 12 
 
 8580557 
 
 0617 
 
 0678 
 
 0738 
 
 0798 
 
 0858 
 
 0918 
 
 0979 
 
 1039 
 
 1099 
 
 
 
 13 
 
 1159 
 
 1220 
 
 1280 
 
 1340 
 
 1400 
 
 1460 
 
 1521 
 
 1581 
 
 1641 
 
 1701 
 
 
 
 14 
 
 1761 
 
 1822 
 
 1882 
 
 1942 
 
 2002 
 
 2062 
 
 2123 
 
 2183 
 
 2243 
 
 2303 
 
 
 
 15 
 
 2363 
 
 2424 
 
 2484 
 
 2544 
 
 2604 
 
 2664 
 
 2724 
 
 2785 
 
 2845 
 
 2905 
 
 
 
 16 
 
 2965 
 
 3025 
 
 3086 
 
 3146 
 
 3206 
 
 •3206 
 
 3326 
 
 3387 
 
 3447 
 
 3507 
 
 
 
 17 
 
 3567 
 
 3627 
 
 3687 
 
 3748 
 
 3808 
 
 3868 
 
 3928 
 
 3988 
 
 4048 
 
 4109 
 
 
 
 18 
 
 4169 
 
 4229 
 
 4289 
 
 4349 
 
 4409 
 
 4470 
 
 4530 
 
 4590 
 
 4650 
 
 4710 
 
 
 
 19 
 
 4770 
 
 4831 
 
 4891 
 
 4951 
 
 5011 
 
 5071 
 
 5131 
 
 5192 
 
 5252 
 
 5312 
 
 
 
 7220 
 
 5372 
 
 5432 
 
 5492 
 
 5552 
 
 5613 
 
 5673 
 
 5733 
 
 5793 
 
 5853 
 
 5913 
 
 
 
 21 
 
 5973 
 
 6034 
 
 6094 
 
 6154 
 
 6214 
 
 6274 
 
 6334 
 
 6394 
 
 6455 
 
 6515 
 
 
 
 22 
 
 6575 
 
 6635 
 
 6695 
 
 6755 
 
 6815 
 
 6876 
 
 6936 
 
 6996 
 
 7056 
 
 7116 
 
 
 
 23 
 
 7176 
 
 7236 
 
 7296 
 
 7357 
 
 7417 
 
 ^477 
 
 7537 
 
 7597 
 
 7657 
 
 7717 
 
 
 
 24 
 
 7777 
 
 7837 
 
 7898 
 
 7958 
 
 8018 
 
 8078 
 
 8138 
 
 8198 
 
 8258 
 
 8318 
 
 
 
 25 
 
 8379 
 
 8439 
 
 8499 
 
 8559 
 
 8619 
 
 8679 
 
 8739 
 
 8799 
 
 8859 
 
 8919 
 
 
 
 26 
 
 8980 
 
 9040 
 
 9100 
 
 9160 
 
 9220 
 
 9280 
 
 9340 
 
 9400 
 
 9400 
 
 9520 
 
 
 
 27 
 
 9581 
 
 9641 
 
 9701 
 
 9761 
 
 9821 
 
 9881 
 
 9941 
 
 0001 
 
 0061 
 
 0121 
 
 
 
 28 
 
 8590181 
 
 0242 
 
 0302 
 
 0362 
 
 0422 
 
 0482 
 
 0542 
 
 0602 
 
 0662 
 
 0722 
 
 
 
 Id 
 
 0782 
 
 0842 
 
 0902 
 
 0962 
 
 1023 
 
 1083 
 
 1143 
 
 1203 
 
 1263 
 
 1323 
 
 
 
 7230 
 
 1383 
 
 1443 
 
 1503 
 
 1563 
 
 1623 
 
 1683 
 
 1743 
 
 1803 
 
 1863 
 
 1924 
 
 
 
 31 
 
 1984 
 
 2044 
 
 2104 
 
 2164. 
 
 2224 
 
 2284 
 
 2344 
 
 2404 
 
 2464 
 
 2524 
 
 
 
 32 
 
 2584 
 
 2641^ 
 
 2704 
 
 2764 
 
 2824 
 
 2884 
 
 2944 
 
 3005 
 
 3065 
 
 3125 
 
 
 
 33 
 
 3185 
 
 3245 
 
 3305 
 
 SSQb 
 
 3425 
 
 3485 
 
 3545 
 
 3605 
 
 3665 
 
 3725 
 
 
 
 34 
 
 3785 
 
 3845 
 
 3905 
 
 3965 
 
 4025 
 
 4085 
 
 4145 
 
 4205 
 
 4265 
 
 4325 
 
 
 
 35 
 
 4385 
 
 4445 
 
 4505 
 
 4565 
 
 4625 
 
 4685 
 
 4746 
 
 4806 
 
 4866 
 
 4926 
 
 
 
 SQ 
 
 4986 
 
 5046 
 
 5106 
 
 5166 
 
 5226 
 
 5286 
 
 5346 
 
 5406 
 
 5466 
 
 5526 
 
 
 
 37 
 
 5586 
 
 5646 
 
 5706 
 
 5766 
 
 5826 
 
 5886 
 
 5946 
 
 6006 
 
 6066 
 
 6126 
 
 60 
 
 
 38 
 
 6186 
 
 6246 
 
 6306 
 
 QmQ 
 
 6426 
 
 6486 
 
 6546 
 
 6G06 
 
 6666 
 
 6726 
 
 
 1 
 
 39 
 
 6786 
 
 6846 
 
 6906 
 
 6966 
 
 7026 
 
 7086 
 
 7146 
 
 7206 
 
 7266 
 
 7326 
 
 
 
 7240 
 
 7386 
 
 7446 
 
 7506 
 
 7566 
 
 7626 
 
 7686 
 
 7746 
 
 7806 
 
 7866 
 
 7925 
 
 
 
 41 
 
 7985 
 
 8045 
 
 8105 
 
 8165 
 
 8225 
 
 8285 
 
 8345 
 
 8405 
 
 8465 
 
 8525 
 
 
 1 
 
 42 
 
 8585 
 
 8645 
 
 8705 
 
 8765 
 
 8825 
 
 8885 
 
 8945 
 
 9005 
 
 9065 
 
 9125 
 
 
 59 1 
 
 43 
 
 9185 
 
 9245 
 
 9305 
 
 9365 
 
 9425 
 
 9485 
 
 9545 
 
 9605 
 
 9665 
 
 9724 
 
 
 liV 
 
 44 
 
 9784 
 
 9844 
 
 9904 
 
 9964 
 
 0024 
 
 0084 
 
 0144 
 
 0204 
 
 0264 
 
 0324 
 
 
 2l2j 
 
 3 18 
 
 45 
 
 8600384 
 
 0444 
 
 0504 
 
 0564 
 
 0624 
 
 0684 
 
 0744 
 
 0803 
 
 0863 
 
 0923 
 
 
 4 24 1 
 
 46 
 
 0983 
 
 1043 
 
 1103 
 
 1163 
 
 1223 
 
 1283 
 
 1343 
 
 1403 
 
 1463 
 
 1523 
 
 
 5 30 
 
 47 
 
 1583 
 
 1643 
 
 1702 
 
 1762 
 
 1822 
 
 1882 
 
 1942 
 
 2002 
 
 2062 
 
 2122 
 
 
 6 35 
 
 7 41 
 
 8 47 
 
 ' 48 
 
 2182 
 
 2242 
 
 2302 
 
 2362 
 
 2422 
 
 2481 
 
 2541 
 
 2601 
 
 2661 
 
 2721 
 
 
 49 
 
 2781 
 
 2841 
 
 2901 
 
 2961 
 
 3021 
 
 3081 
 
 3140 
 
 3200 
 
 3260 
 
 3320 
 
 
 9 53 
 
 n; 
 
 « 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pts. 
 
N.725 L. 860 OF numbers. (131)| 
 
 N. 
 
 7250 
 
 
 
 1 
 
 3440 
 
 2 
 350C 
 
 3 
 
 3560 
 
 4 
 
 3620 
 
 5 
 
 3680 
 
 6" 
 
 3739 
 
 7 
 
 3799 
 
 8 
 
 9 
 
 3919 
 
 D 
 
 Pro. 
 
 8603380 
 
 3859 
 
 51 
 
 3979 
 
 4039 
 
 4099 
 
 4159 
 
 4219 
 
 4279 
 
 4338 
 
 4398 
 
 4458 
 
 4518 
 
 
 60 
 
 52 
 
 4578 
 
 4638 
 
 4698 
 
 4758 
 
 4817 
 
 4877 
 
 4937 
 
 4997 
 
 5057 
 
 5117 
 
 
 I 
 
 l,o 
 
 53 
 
 5177 
 
 5237 
 
 5297 
 
 5356 
 
 5416 
 
 5476 
 
 5536 
 
 5596 
 
 5656 
 
 5716 
 
 
 2 
 
 12 
 
 54. 
 
 5776 
 
 5835 
 
 5895 
 
 5955 
 
 6015 
 
 6075 
 
 6135 
 
 6195 
 
 6254 
 
 6314 
 
 
 3 
 4 
 
 18 
 24 
 
 55 
 
 6374 
 
 6434 
 
 6494 
 
 6554 
 
 6614 
 
 6673 
 
 6733 
 
 6793 
 
 6853 
 
 6913 
 
 
 5 
 
 30 
 
 56 
 
 6973 
 
 7033 
 
 7092 
 
 7152 
 
 7212 
 
 7272 
 
 7332 
 
 7392 
 
 7452 
 
 7511 
 
 
 6 
 
 7 
 8 
 
 3G 
 42 
 48 
 
 51 
 
 7571 
 
 7631 
 
 7691 
 
 7751 
 
 7811 
 
 7870 
 
 7930 
 
 7990 
 
 8050 
 
 8110 
 
 
 58 
 
 8170 
 
 8229 
 
 8289 
 
 8349 
 
 8409 
 
 8469 
 
 8529 
 
 8588 
 
 8648 
 
 8708 
 
 
 9 
 
 54 
 
 59 
 
 8768 
 
 8828 
 
 8888 
 
 8947 
 
 9007 
 
 9067 
 
 9127 
 
 9187 
 
 9247 
 
 9306 
 
 
 
 7260 
 
 93^6 
 
 9426 
 
 9486 
 
 9546 
 
 9605 
 
 9665 
 
 9725 
 
 9785 
 
 9845 
 
 9905 
 
 
 
 61 
 
 9964 
 
 0024 
 
 0084 
 
 0144 
 
 0204 
 
 0263 
 
 0323 
 
 0383 
 
 0443 
 
 0503 
 
 
 
 62 
 
 8610562 
 
 0622 
 
 0682 
 
 0742 
 
 0802 
 
 0861 
 
 0921 
 
 0981 
 
 1041 
 
 1101 
 
 
 
 63 
 
 1160 
 
 1220 
 
 1280 
 
 1340 
 
 1400 
 
 1459 
 
 1519 
 
 1579 
 
 1639 
 
 1699 
 
 
 
 64 
 
 1758 
 
 1818 
 
 1878 
 
 1938 
 
 1997 
 
 2057 
 
 2117 
 
 2177 
 
 2237 
 
 2296 
 
 
 
 65 
 
 2356 
 
 2416 
 
 2476 
 
 2536 
 
 2595 
 
 2655 
 
 2715 
 
 2775 
 
 2834 
 
 2S94 
 
 
 
 6Q 
 
 2954 
 
 3014 
 
 3073 
 
 3133 
 
 3193' 
 
 3253 
 
 3313 
 
 3372 
 
 3432 
 
 3492 
 
 
 
 67 
 
 3552 
 
 3611 
 
 3671 
 
 3731 
 
 3791 
 
 3850 
 
 3910 
 
 3970 
 
 4030 
 
 4089 
 
 
 
 68 
 
 4149 
 
 4209 
 
 4269 
 
 4328 
 
 4388 
 
 4448 
 
 4508 
 
 4567 
 
 4627 
 
 4687 
 
 
 
 69 
 
 4747 
 
 4806 
 
 4S66 
 
 4926 
 
 4986 
 
 5045 
 
 5105 
 
 5165 
 
 5225 
 
 5284 
 
 
 
 7270 
 
 5344> 
 
 5404 
 
 5464 
 
 5523 
 
 5583 
 
 5643 
 
 5703 
 
 5762 
 
 5822 
 
 5882 
 
 
 
 71 
 
 5941 
 
 6001 
 
 6061 
 
 6121 
 
 6180 
 
 6240 
 
 6300 
 
 6360 
 
 6419 
 
 6479 
 
 
 
 72 
 
 6539 
 
 6598 
 
 6658 
 
 6718 
 
 6778 
 
 6837 
 
 6897 
 
 6957 
 
 7016 
 
 7076 
 
 
 
 73 
 
 7136 
 
 7196 
 
 7255 
 
 7315 
 
 7375 
 
 7434 
 
 7494 
 
 7554 
 
 7614 
 
 7673 
 
 
 
 74 
 
 7733 
 
 7793 
 
 7852 
 
 7912 
 
 7972 
 
 8031 
 
 8091 
 
 8151 
 
 8211 
 
 8270 
 
 
 
 75 
 
 8330 
 
 8390 
 
 8449 
 
 8509 
 
 8569 
 
 8628 
 
 8688 
 
 8748 
 
 8808 
 
 8867 
 
 
 
 76 
 
 8927 
 
 8987 
 
 9046 
 
 9106 
 
 9166 
 
 9225 
 
 9285 
 
 9345 
 
 9404 
 
 9464 
 
 
 
 77 
 
 9524 
 
 9583 
 
 9643 
 
 9703 
 
 9762 
 
 9822 
 
 9882 
 
 9941 
 
 Sooi 
 
 0061 
 
 
 
 78 
 
 8620121 
 
 0180 
 
 0240 
 
 0300 
 
 0359 
 
 0419 
 
 0479 
 
 0538 
 
 0598 
 
 0658 
 
 
 
 79 
 
 0717 
 
 0777 
 
 0837 
 
 0896 
 
 0956 
 
 1016 
 
 1075 
 
 1135 
 
 1194 
 
 1254 
 
 
 
 7280 
 
 1314 
 
 1373 
 
 1433 
 
 1493 
 
 1552 
 
 1612 
 
 1672 
 
 1731 
 
 1791 
 
 1851 
 
 
 
 81 
 
 1910 
 
 1970 
 
 2030 
 
 2089 
 
 2149 
 
 2209 
 
 2258 
 
 2328 
 
 2387 
 
 2447 
 
 
 
 &2 
 
 2507 
 
 2566 
 
 2626 
 
 2686 
 
 2745 
 
 2805 
 
 2865 
 
 2924 
 
 2984 
 
 3043 
 
 
 
 83 
 
 3103 
 
 3163 
 
 3222 
 
 3282 
 
 3342 
 
 3401 
 
 3461 
 
 3520 
 
 3580 
 
 3640 
 
 
 
 84 
 
 3699 
 
 3759 
 
 3819 
 
 3878 
 
 '3938 
 
 3997 
 
 4057 
 
 4117 
 
 4176 
 
 4236 
 
 
 
 85 
 
 4296 
 
 4355 
 
 4415 
 
 4474 
 
 4534 
 
 4594 
 
 4653 
 
 4713 
 
 4772 
 
 4832 
 
 
 
 86 
 
 4892 
 
 4951 
 
 5011 
 
 5070 
 
 5130 
 
 5190 
 
 5249 
 
 5309 
 
 5368 
 
 5428 
 
 
 
 87 
 
 .5488 
 
 5547 
 
 5607 
 
 5666 
 
 5726 
 
 5786 
 
 5845 
 
 5905 
 
 5964 
 
 6024 
 
 
 
 88 
 
 6084 
 
 6143 
 
 6203 
 
 6262 
 
 6322 
 
 6382 
 
 6441 
 
 6501 
 
 6560 
 
 6620 
 
 
 
 89 
 
 6680 
 
 6739 
 
 6799 
 
 6858 
 
 6918 
 
 6977 
 
 7037 
 
 7097 
 
 7156 
 
 7216 
 
 
 
 7290 
 
 7275 
 
 7335 
 
 7394 
 
 7454 
 
 7514 
 
 7573 
 
 7633 
 
 7692 
 
 7752 
 
 7811 
 
 
 
 91 
 
 7871 
 
 7931 
 
 7990 
 
 8050 
 
 8109 
 
 8169 
 
 8228 
 
 8288 
 
 8347 
 
 8407 
 
 
 
 92 
 
 8467 
 
 8526 
 
 8586 
 
 8645 
 
 8705 
 
 8764 
 
 8824 
 
 8883 
 
 8943 
 
 9003 
 
 
 59 
 
 93 
 
 9062 
 
 9122 
 
 9181 
 
 9241 
 
 9300 
 
 9360 
 
 9419 
 
 9479 
 
 9539 
 
 9598 
 
 
 1 
 
 6 
 
 94 
 
 9658 
 
 9717 
 
 9777 
 
 9836 
 
 9896 
 
 9955 
 
 0015 
 
 0074 
 
 0134 
 
 0193 
 
 
 '2 
 3 
 
 12 
 18 
 
 95 
 
 8630253 
 
 0312 
 
 0372 
 
 0432 
 
 0491 
 
 0551 
 
 0610 
 
 0670 
 
 0729 
 
 0789 
 
 
 4 
 
 24 
 
 96 
 
 0848 
 
 0908 
 
 0967 
 
 1027 
 
 1086 
 
 1146 
 
 1205 
 
 1265 
 
 1324 
 
 1384 
 
 
 5 
 
 30 
 
 97 
 
 1443 
 
 1503 
 
 1562 
 
 1622 
 
 1682 
 
 1741 
 
 1801 
 
 1860 
 
 1920 
 
 1979 
 
 
 6 
 
 7 
 g 
 
 35 
 41 
 
 47 
 
 98 
 
 2039 
 
 2098 
 
 2158 
 
 2217 
 
 2277 
 
 2336 
 
 2396 
 
 2455 
 
 2515 
 
 2574 
 
 
 .99 
 N. 
 
 2634 
 
 2693 
 
 2753 
 
 2 
 
 2812 
 3 
 
 2872 
 
 4 
 
 2931 
 
 2991 
 
 3050 
 
 3110 
 
 3169 
 
 ~9~ 
 
 D" 
 
 9 
 
 53 
 
 
 
 1 
 
 5 
 
 6 
 
 7 
 
 8 
 
 P 
 
 ts. 
 
(13^2) LOGARITHMS N.730 L. 86"3J 
 
 NT ^ 
 
 7300 
 
 
 
 1 
 
 3288 
 
 2 
 
 3348 
 
 3 
 
 3407 
 
 4 
 
 3467 
 
 5 
 
 6 
 
 3586 
 
 7 
 
 3645 
 
 8 
 3705 
 
 9 
 
 3764 
 
 1) 
 
 l^ro. 
 
 8633229 
 
 3526 
 
 01 
 
 3823 
 
 3883 
 
 3942 
 
 4002 
 
 4061 
 
 4121 
 
 4180 
 
 4240 
 
 4299 
 
 4359 
 
 
 60 
 
 02 
 
 4418 
 
 4478 
 
 4537 
 
 4597 
 
 4656 
 
 4716 
 
 4775 
 
 4835 
 
 4894 
 
 4954 
 
 
 1 
 
 6 
 
 03 
 
 5013 
 
 5072 
 
 5132 
 
 5191 
 
 5251 
 
 5310 
 
 5370 
 
 5429 
 
 5489 
 
 5548 
 
 
 2 
 3 
 4 
 
 12 
 18 
 24 
 
 04 
 
 5608 
 
 5667 
 
 5727 
 
 5786 
 
 5845 
 
 5905 
 
 5964 
 
 6024 
 
 6083 
 
 6143 
 
 
 05 
 
 6202 
 
 6262 
 
 6321 
 
 6381 
 
 6440 
 
 6499 
 
 6559 
 
 6618 
 
 6678 
 
 6737 
 
 
 5 
 
 30 
 
 06 
 
 6797 
 
 6856 
 
 6916 
 
 6975 
 
 7034 
 
 7094 
 
 7153 
 
 7213 
 
 7272 
 
 7332 
 
 
 6 
 
 7 
 8 
 
 id 
 42 
 
 48 
 
 07 
 
 7391 
 
 7451 
 
 7510 
 
 7569 
 
 7629 
 
 7688 
 
 7748 
 
 7807 
 
 7867 
 
 7926 
 
 
 08 
 
 7985 
 
 8045 
 
 8104 
 
 8164 
 
 8223 
 
 8283 
 
 8342 
 
 8401 
 
 8461 
 
 8520 
 
 
 9 
 
 54 
 
 09 
 
 8580 
 
 8639 
 
 8698 
 
 8758 
 
 8817 
 
 8877 
 
 8936 
 
 8996 
 
 9055 
 
 9114 
 
 
 
 7310 
 
 9174 
 
 9233 
 
 9293 
 
 9352 
 
 9411 
 
 9471 
 
 9530 
 
 9590 
 
 9649 
 
 9708 
 
 
 
 11 
 
 9768 
 
 9827 
 
 9887 
 
 9;) 46 
 
 0005 
 
 0065 
 
 0124 
 
 0184 
 
 0243 
 
 0302 
 
 
 
 12 
 
 8640362 
 
 0421 
 
 0481 
 
 0540 
 
 0599 
 
 0659 
 
 0718 
 
 0778 
 
 0837 
 
 0896 
 
 
 
 13 
 
 0956 
 
 1015 
 
 1075 
 
 1134 
 
 1193 
 
 1253 
 
 1312 
 
 1371 
 
 1431 
 
 1490 
 
 
 
 14 
 
 1550 
 
 1609 
 
 1668 
 
 1728 
 
 1787 
 
 1846 
 
 1906 
 
 1965 
 
 2025 
 
 2084 
 
 
 
 15 
 
 2143 
 
 2203 
 
 2262 
 
 2321 
 
 2381 
 
 2440 
 
 2500 
 
 2559 
 
 2618 
 
 2678 
 
 
 
 16 
 
 2737 
 
 2796 
 
 2856 
 
 2915 
 
 2974 
 
 3034 
 
 3093 
 
 3152 
 
 3212 
 
 3271 
 
 
 
 17 
 
 3331 
 
 3390 
 
 3449 
 
 3509 
 
 3568 
 
 3627 
 
 3687 
 
 3746 
 
 3805 
 
 3865 
 
 
 
 18 
 
 .3924 
 
 3983 
 
 4043 
 
 4102 
 
 4161 
 
 4221 
 
 4280 
 
 4339 
 
 4399 
 
 4458 
 
 
 
 19 
 
 4517 
 
 4577 
 
 4636 
 
 4695 
 
 4755 
 
 4814 
 
 4873 
 
 4933 
 
 4992 
 
 5051 
 
 
 
 7320 
 
 5111 
 
 5170 
 
 5229 
 
 5289 
 
 5348 
 
 5407 
 
 5467 
 
 5526 
 
 5585 
 
 5645 
 
 
 
 21 
 
 5704 
 
 5763 
 
 5823 
 
 5882 
 
 5941 
 
 6001 
 
 6060 
 
 6119 
 
 6179 
 
 6238 
 
 
 
 22 
 
 6297 
 
 6357 
 
 6416 
 
 6475 
 
 6534 
 
 6594 
 
 6653 
 
 6712 
 
 6772 
 
 6831 
 
 
 
 23 
 
 6890 
 
 6950 
 
 7009 
 
 7068 
 
 7128 
 
 7187 
 
 7246 
 
 7305 
 
 7365 
 
 7424 
 
 
 
 24 
 
 7483 
 
 7543 
 
 7602 
 
 7661 
 
 7721 
 
 7780 
 
 7839 
 
 7898 
 
 7958 
 
 8017 
 
 
 
 25 
 
 8076 
 
 8136 
 
 8195 
 
 8254 
 
 8313 
 
 8373 
 
 8432 
 
 8491 
 
 8551 
 
 8610 
 
 
 
 26 
 
 8669 
 
 8728 
 
 8788 
 
 8847- 
 
 8906 
 
 8966 
 
 9025 
 
 9084 
 
 9J43 
 
 9203 
 
 
 
 27 
 
 9262 
 
 9321 
 
 9380 
 
 9440 
 
 9499 
 
 9558 
 
 9618 
 
 9677 
 
 9736 
 
 9795 
 
 
 
 28 
 
 9855 
 
 9914 
 
 9973 
 
 0032 
 
 0092 
 
 015J 
 
 0210 
 
 0269 
 
 0329 
 
 0388 
 
 
 
 29 
 
 8650447 
 
 0506 
 
 0566 
 
 0625 
 
 0684 
 
 0743 
 
 0803 
 
 0862 
 
 0921 
 
 0980 
 
 
 
 7330 
 
 1040 
 
 1099 
 
 1158 
 
 1217 
 
 1277 
 
 1336 
 
 1395 
 
 1454 
 
 1514 
 
 1573 
 
 
 
 31 
 
 1632 
 
 1691 
 
 1751 
 
 1810 
 
 1869 
 
 1928 
 
 1988 
 
 2047 
 
 2106 
 
 2165 
 
 
 
 32 
 
 2225 
 
 2284 
 
 2343 
 
 2402 
 
 2461 
 
 2521 
 
 2580 
 
 2639 
 
 2698 
 
 2758 
 
 
 
 33 
 
 2817 
 
 2376 
 
 2935 
 
 2995 
 
 3054 
 
 3113 
 
 3172 
 
 3231 
 
 3291 
 
 3350 
 
 
 
 34 
 
 3^09 
 
 3468 
 
 3527 
 
 3587 
 
 3646 
 
 3705 
 
 3764 
 
 3824 
 
 3883 
 
 3942 
 
 
 
 35 
 
 4001 
 
 4060 
 
 4120 
 
 4179 
 
 4238 
 
 4297 
 
 4356 
 
 4416 
 
 4475 
 
 4534 
 
 
 
 3Q 
 
 4593 
 
 4652 
 
 4712 
 
 4771 
 
 4830 
 
 4889 
 
 4948 
 
 5008 
 
 5067 
 
 5126 
 
 
 
 37 
 
 5185 
 
 5244 
 
 5304 
 
 5363 
 
 5422 
 
 5481 
 
 5540 
 
 5600 
 
 5659 
 
 5718 
 
 
 
 38 
 
 5777 
 
 5836 
 
 5895 
 
 5955 
 
 6014 
 
 6073 
 
 6132 
 
 6191 
 
 6251 
 
 6310 
 
 
 
 39 
 
 6369 
 
 6428 
 
 6487 
 
 6546 
 
 6606 
 
 6665 
 
 6724 
 
 6783 
 
 6842 
 
 6901 
 
 
 
 7340 
 
 6961 
 
 7020 
 
 7079 
 
 7138 
 
 7197 
 
 7256 
 
 7316 
 
 7375 
 
 7434 
 
 7493 
 
 
 
 41 
 
 7552 
 
 7611 
 
 7671 
 
 7730 
 
 7789 
 
 7848 
 
 7907 
 
 7966 
 
 8025 
 
 8085 
 
 
 
 42 
 
 8144 
 
 8203 
 
 8262 
 
 8321 
 
 8380 
 
 8440 
 
 8499 
 
 8558 
 
 8617 
 
 8676 
 
 
 59 
 
 43 
 
 8735 
 
 8794 
 
 8854 
 
 8913 
 
 8972 
 
 9031 
 
 9090 
 
 9149 
 
 9208 
 
 9268 
 
 
 1 
 
 6 
 
 44 
 
 9327 
 
 9386 
 
 9445 
 
 9504 
 
 9563 
 
 9622 
 
 9681 
 
 9741 
 
 9800 
 
 9859 
 
 
 2 
 3 
 
 12 
 
 18 
 
 45 
 
 9918 
 
 9977 
 
 0036 
 
 0095 
 
 0155 
 
 0214 
 
 0273 
 
 0332 
 
 0391 
 
 0450 
 
 
 4 
 
 24 
 
 46 
 
 8660509 
 
 0568 
 
 0627 
 
 0687 
 
 0746 
 
 0805 
 
 0864 
 
 0923 
 
 0982 
 
 1041 
 
 
 5 
 
 30 
 
 47 
 
 1100 
 
 1160 
 
 1219 
 
 1278 
 
 1337 
 
 1396 
 
 1455 
 
 15/4 
 
 1573 
 
 1632 
 
 
 6 
 
 7 
 8 
 
 35 
 41 
 47 
 
 48 
 
 1691 
 
 1751 
 
 1810 
 
 1869 
 
 1928 
 
 1087 
 
 2046 
 
 2105 
 
 2164 
 
 2223 
 
 
 49 
 N. 
 
 2282 
 
 2342 
 1 
 
 2401 
 
 2 
 
 2460 
 
 3 
 
 2519 
 
 2578 
 5 
 
 2637 
 
 G 
 
 2696 
 
 7 
 
 2755 
 8 
 
 2814 
 
 9 
 
 D 
 
 9 
 
 53 
 
 
 
 4 
 
 I 
 
 >ts. 
 
N.735 L.866 of numbers. (133) 
 
 N. 
 
 7350 
 
 
 
 1 
 
 2932 
 
 2992 
 
 3 
 
 3051 
 
 4 
 3110 
 
 5 
 
 3169 
 
 6 
 
 3228 
 
 7 
 
 3287 
 
 8 
 3346 
 
 9 
 
 3405 
 
 D 
 
 Pro. 
 
 8662873 
 
 51 
 
 3464 
 
 3523 
 
 3582 
 
 3641 
 
 3701 
 
 3760 
 
 3819 
 
 3878 
 
 3937 
 
 3996 
 
 
 59 
 
 52 
 
 4055 
 
 4114 
 
 4173 
 
 4232 
 
 4291 
 
 4350 
 
 4409 
 
 4468 
 
 4528 
 
 4587 
 
 
 1 6 
 
 53 
 
 4646 
 
 4705 
 
 4764 
 
 4823 
 
 4882 
 
 4941 
 
 5000 
 
 5059 
 
 5118 
 
 5177 
 
 
 2 12 
 
 3 18 
 
 4 24 
 
 54 
 
 5236 
 
 5295 
 
 5354 
 
 5413 
 
 5472 
 
 5532 
 
 5591 
 
 5650 
 
 5709 
 
 5768 
 
 
 55 
 
 5827 
 
 5886 
 
 5945 
 
 6004 
 
 6063 
 
 6122 
 
 6181 
 
 6240 
 
 6299 
 
 6358 
 
 
 5 30 
 
 56 
 
 6417 
 
 6476 
 
 65'i5 
 
 6594 
 
 665^ 
 
 6712 
 
 6771 
 
 6830 
 
 6889 
 
 6949 
 
 
 6 35 
 
 7 41 
 
 8 47 
 
 51 
 
 7008 
 
 7067 
 
 7126 
 
 7185 
 
 7244 
 
 7303 
 
 7362 
 
 7421 
 
 7480 
 
 7539 
 
 
 58 
 
 7598 
 
 7657 
 
 7716 
 
 7775 
 
 7834 
 
 7893 
 
 7952 
 
 8011 
 
 8070 
 
 8129 
 
 
 9 53 
 
 59 
 
 8188 
 
 8247 
 
 8306 
 
 8365 
 
 8424 
 
 8483 
 
 8542 
 
 8601 
 
 8660 
 
 8719 
 
 
 ~* 
 
 7360 
 
 8778 
 
 8837 
 
 8896 
 
 8955 
 
 9014 
 
 9073 
 
 9132 
 
 9191 
 
 9250 
 
 9309 
 
 59 
 
 
 61 
 
 9368 
 
 9427 
 
 9486 
 
 9545 
 
 9604 
 
 9663 
 
 9722 
 
 9781 
 
 9840 
 
 9899 
 
 
 
 62 
 
 9958 
 
 0017 
 
 0076 
 
 0135 
 
 0194 
 
 0253 
 
 0312 
 
 0371 
 
 0430 
 
 0489 
 
 
 
 m 
 
 8670548 
 
 0607 
 
 0666 
 
 0725 
 
 0784 
 
 0843 
 
 0902 
 
 0961 
 
 1020 
 
 1079 
 
 
 
 64 
 
 1138 
 
 1197 
 
 1256 
 
 1315 
 
 1374 
 
 1433 
 
 1492 
 
 1551 
 
 1610 
 
 1669 
 
 
 
 65 
 
 1728 
 
 1786 
 
 1845 
 
 1904 
 
 1963 
 
 2022 
 
 2081 
 
 2140 
 
 2199 
 
 2258 
 
 
 
 66 
 
 2317 
 
 2376 
 
 2435 
 
 2494 
 
 2553 
 
 2612 
 
 2671 
 
 2730 
 
 2789 
 
 2848 
 
 
 
 67 
 
 2907 
 
 2966 
 
 3025 
 
 3084 
 
 3142 
 
 3201 
 
 3260 
 
 3319 
 
 3378 
 
 3437 
 
 
 
 68 
 
 3496 
 
 S555 
 
 3614 
 
 3673 
 
 3732 
 
 3791 
 
 3850 
 
 3909 
 
 3968 
 
 4027 
 
 
 
 69 
 
 4086 
 
 4145 
 
 4203 
 
 4262 
 
 432] 
 
 4380 
 
 4439 
 
 4498 
 
 4557 
 
 4616 
 
 
 
 7370, 
 
 4675 
 
 4734 
 
 4793 
 
 4852 
 
 4911 
 
 4970 
 
 5028 
 
 5087 
 
 5l4e 
 
 5205 
 
 
 
 71 
 
 5264 
 
 5323 
 
 5382 
 
 5441 
 
 5500 
 
 5559 
 
 5618 
 
 5677 
 
 5735 
 
 5794 
 
 
 
 72 
 
 5853 
 
 5912 
 
 5971 
 
 6030 
 
 6089 
 
 6148 
 
 6207 
 
 6266 
 
 6325 
 
 6383 
 
 
 
 73 
 
 6442 
 
 6501 
 
 6560 
 
 6619 
 
 6678 
 
 6737 
 
 6796 
 
 6855 
 
 6914 
 
 6972 
 
 
 
 74 
 
 7031 
 
 7090 
 
 7149 
 
 7208 
 
 7267 
 
 7326 
 
 7385 
 
 7444 
 
 7502 
 
 7561 
 
 
 
 75 
 
 7620 
 
 7679 
 
 7738 
 
 7797 
 
 7856 
 
 7915 
 
 7974 
 
 8032 
 
 8091 
 
 8150 
 
 
 
 76 
 
 8209 
 
 8268 
 
 8327 
 
 8386 
 
 8445 
 
 8503 
 
 8562 
 
 8621 
 
 8680 
 
 8739 
 
 
 
 77 
 
 8798 
 
 8857 
 
 8916 
 
 8974 
 
 9033 
 
 9092 
 
 9151 
 
 9210 
 
 9269 
 
 9328 
 
 
 
 78 
 
 9387 
 
 9445 
 
 9504 
 
 9563 
 
 9622 
 
 9681 
 
 9740 
 
 9799 
 
 9857 
 
 9916 
 
 
 
 79 
 
 9975 
 
 0034 
 
 0093 
 
 0152 
 
 0211 
 
 0269 
 
 0328 
 
 0387 
 
 0446 
 
 0505 
 
 
 
 7380 
 
 8680564 
 
 0622 
 
 0681 
 
 0740 
 
 0799 
 
 0858 
 
 0917 
 
 0976 
 
 1034 
 
 1093 
 
 
 
 81 
 
 1152 
 
 1211 
 
 1270 
 
 1329 
 
 1387 
 
 1446 
 
 1505 
 
 1564 
 
 1623 
 
 1682 
 
 
 
 82 
 
 1740 
 
 1799 
 
 1858 
 
 1917 
 
 1976 
 
 2035 
 
 2093 
 
 2152 
 
 2211 
 
 2270 
 
 
 
 83 
 
 2329 
 
 2388 
 
 2446 
 
 2505 
 
 2564 
 
 2623 
 
 2682 
 
 2740 
 
 2799 
 
 2858 
 
 
 
 84 
 
 2917 
 
 2976 
 
 3035 
 
 3093 
 
 3152 
 
 3211 
 
 3270 
 
 3329 
 
 3387 
 
 3446 
 
 
 
 85 
 
 3505 
 
 3564 
 
 3623 
 
 3681 
 
 3740 
 
 3799 
 
 3858 
 
 3917 
 
 3975 
 
 4034 
 
 
 
 86 
 
 4093 
 
 4152 
 
 4211 
 
 4269 
 
 4328 
 
 4387 
 
 441-6 
 
 4505 
 
 4563 
 
 4622 
 
 
 
 87 
 
 4681 
 
 4740 
 
 4799 
 
 4857 
 
 4916 
 
 4975 
 
 5034 
 
 5093 
 
 5151 
 
 5210 
 
 
 
 88 
 
 5269 
 
 5328 
 
 5386 
 
 5445 
 
 5504 
 
 5563 
 
 5622 
 
 5680 
 
 5739 
 
 5798 
 
 
 
 89 
 
 5857 
 
 5915 
 
 5974 
 
 6033 
 
 6092 
 
 6151 
 
 6209 
 
 6268 
 
 6327 
 
 6386 
 
 
 
 7390 
 
 6444 
 
 6503 
 
 6562 
 
 6621 
 
 6679 
 
 6738 
 
 6797 
 
 6856 
 
 6915 
 
 6973 
 
 
 
 91 
 
 7032 
 
 7091 
 
 7150 
 
 7208 
 
 7267 
 
 7326 
 
 7385 
 
 7443 
 
 7502 
 
 7561 
 
 
 
 92 
 
 7620 
 
 7678 
 
 7737 
 
 7796 
 
 7855 
 
 7913 
 
 7972 
 
 8031 
 
 8090 
 
 8148 
 
 
 58 
 
 93 
 
 8207 
 
 8266 
 
 8325 
 
 8383 
 
 8442 
 
 8501 
 
 8560 
 
 8618 
 
 8677 
 
 8736 
 
 
 1 6 
 
 94 
 
 8794 
 
 8853 
 
 8912 
 
 8971 
 
 9029 
 
 9088 
 
 9147 
 
 9206 
 
 9264 
 
 9323 
 
 
 2 I'J 
 
 3 17 
 
 95 
 
 9382 
 
 9441 
 
 9499 
 
 9558 
 
 9617 
 
 9675 
 
 9734 
 
 9793 
 
 9852 
 
 9910 
 
 
 4 23 
 
 96 
 
 9969 
 
 0028 
 
 0086 
 
 0145 
 
 020^ 
 
 *^0263 
 
 0321 
 
 0380 
 
 0439 
 
 0497 
 
 
 5 29 
 
 97 
 
 8690556 
 
 0615 
 
 0674 
 
 0732 
 
 0791 
 
 0850 
 
 0908 
 
 0967 
 
 1026 
 
 1085 
 
 
 6 35 
 
 7 41 
 
 V. 46 
 
 98 
 
 1143 
 
 1202 
 
 1261 
 
 1319 
 
 1378 
 
 1437 
 
 1495 
 
 1554 
 
 1613 
 
 1672 
 
 
 99 
 
 N. 
 
 1730 
 
 1789 
 
 1 
 
 1848 
 
 1906 
 
 1965 
 
 4 
 
 2024 
 
 5 
 
 2082 
 
 2141 
 
 2200 
 
 2259 
 
 9 1 
 
 
 9 52 
 
 
 
 2 3 ! 
 
 6 1 
 
 7 8 1 
 
 D Pts.i 
 
C134) LOGARITHMS N. 740 L. 86y 
 
 N. 
 
 7400 
 
 
 
 1 
 
 2376 
 
 2 
 2435 
 
 3 
 
 2493 
 
 4 
 
 2552 
 
 5 
 
 2611 
 
 6 
 
 2669 
 
 7 
 
 2728 
 
 8 
 
 2787 
 
 9 
 
 2845 
 
 D 
 
 Pro. 
 
 8692317 
 
 01 
 
 2904 
 
 2963 
 
 3021 
 
 3080 
 
 3139 
 
 3197 
 
 3256 
 
 3315 
 
 3373 
 
 3432 
 
 
 59 
 
 02 
 
 3491 
 
 3549 
 
 3608 
 
 3667 
 
 3725 
 
 3784 
 
 3843 
 
 3901 
 
 3960 
 
 4019 
 
 
 1 
 
 6 
 
 03 
 
 4077 
 
 4136 
 
 4195 
 
 4253 
 
 4312 
 
 437 1 
 
 4429 
 
 4488 
 
 4547 
 
 4605 
 
 
 2 
 
 12 
 
 04 
 
 4664 
 
 4723 
 
 4781 
 
 4840 
 
 4899 
 
 4957 
 
 5016 
 
 5075 
 
 5133 
 
 5192 
 
 
 3 
 4 
 
 18 
 24 
 
 05 
 
 5251 
 
 5309 
 
 5368 
 
 5427 
 
 5485 
 
 5544 
 
 5603 
 
 5661 
 
 5720 
 
 5778 
 
 
 5 
 
 30 
 
 06 
 
 5837 
 
 5896 
 
 5954 
 
 6013 
 
 6072 
 
 6130 
 
 6189 
 
 6248 
 
 6306 
 
 6365 
 
 
 6 
 
 7 
 8 
 
 35 
 41 
 
 47 
 
 07 
 
 6423 
 
 6482 
 
 6541 
 
 6599 
 
 6658 
 
 6717 
 
 6775 
 
 6834 
 
 6892 
 
 6951 
 
 
 08 
 
 7010 
 
 7068 
 
 7127 
 
 7186 
 
 7244 
 
 7303 
 
 7361 
 
 7420 
 
 7479 
 
 7537 
 
 
 9 
 
 53 
 
 oy 
 
 7596 
 
 7655 
 
 7713 
 
 7772 
 
 7830 
 
 7889 
 
 7948 
 
 8006 
 
 8065 
 
 8123 
 
 
 
 7410 
 
 8182 
 
 824] 
 
 8299 
 
 8358 
 
 8417 
 
 8475 
 
 8534 
 
 8592 
 
 8651 
 
 8710 
 
 
 
 11 
 
 8768 
 
 8827 
 
 8885 
 
 8944 
 
 9003 
 
 9061 
 
 9120 
 
 9178 
 
 9237 
 
 9296 
 
 
 
 12 
 
 9354 
 
 9413 
 
 9471 
 
 9530 
 
 9588 
 
 9647 
 
 9706 
 
 9764 
 
 9823 
 
 9881 
 
 
 
 , 13 
 
 9940 
 
 9999 
 
 0057 
 
 0116 
 
 0174 
 
 0233 
 
 0292 
 
 0350 
 
 0409 
 
 0467 
 
 
 
 14 
 
 8700526 
 
 0584 
 
 0643 
 
 0702 
 
 0760 
 
 0819 
 
 0877 
 
 0936 
 
 0994 
 
 1053 
 
 
 
 15 
 
 1112 
 
 1170 
 
 1229 
 
 1287 
 
 1346 
 
 1404 
 
 1463 
 
 1522 
 
 1580 
 
 1639 
 
 
 
 16 
 
 1697 
 
 1756 
 
 1814 
 
 1873 
 
 1931 
 
 1990 
 
 2049 
 
 2107 
 
 2166 
 
 2224 
 
 
 
 17 
 
 2283 
 
 2341 
 
 2400 
 
 2458 
 
 2517 
 
 2576 
 
 2634 
 
 2693 
 
 2751 
 
 2810 
 
 
 
 18 
 
 2868 
 
 2927 
 
 2985 
 
 3044 
 
 3102 
 
 3161 
 
 3220 
 
 3278 
 
 3337 
 
 3395 
 
 
 
 19 
 
 3454 
 
 3512 
 
 3571 
 
 3629 
 
 3688 
 
 3746 
 
 3805 
 
 3863 
 
 3922 
 
 3981 
 
 
 
 7420 
 
 4039 
 
 4098 
 
 4156 
 
 4215 
 
 4273 
 
 4332 
 
 4390 
 
 4449 
 
 4507 
 
 4566 
 
 
 
 21 
 
 4624 
 
 4683 
 
 4741 
 
 4800 
 
 4858 
 
 4917 
 
 4975 
 
 5034 
 
 5092 
 
 5151 
 
 
 
 22 
 
 5210 
 
 5268 
 
 5327 
 
 5385 
 
 5444 
 
 5502 
 
 5561 
 
 5619 
 
 5678 
 
 5736 
 
 
 
 2.'i 
 
 5795 
 
 5853 
 
 5912 
 
 5970 
 
 6029 
 
 6087 
 
 6146 
 
 6204 
 
 6263 
 
 6321 
 
 
 
 24 
 
 6380 
 
 6438 
 
 6i97 
 
 ^655 
 
 6614 
 
 6672 
 
 6731 
 
 6789 
 
 6848 
 
 6906 
 
 
 
 25 
 
 •6965 
 
 7023 
 
 7082 
 
 7140 
 
 7J99 
 
 7257 
 
 7316 
 
 7374 
 
 7432 
 
 7491 
 
 
 
 26 
 
 7549 
 
 7608 
 
 7666 
 
 7725 
 
 7783 
 
 7842 
 
 7900 
 
 7959 
 
 8017 
 
 8076 
 
 
 
 27 
 
 8134 
 
 8193 
 
 825i 
 
 8310 
 
 8368 
 
 8427 
 
 8485 
 
 8544 
 
 8602 
 
 8660 
 
 
 
 28 
 
 8719 
 
 8777 
 
 8836 
 
 8894 
 
 8953 
 
 9011 
 
 9070 
 
 9128 
 
 9187 
 
 9245 
 
 
 
 29 
 
 - 
 
 9304 
 
 9362 
 
 9421 
 
 9479 
 
 9537 
 
 9596 
 
 9654 
 
 9713 
 
 9771 
 
 9830 
 
 
 
 7430 
 
 9888 
 
 9947 
 
 0005 
 
 0063 
 
 0122 
 
 0180 
 
 0239 
 
 0297 
 
 0356 
 
 0414 
 
 
 
 31 
 
 8710473 
 
 0531 
 
 0589 
 
 0648 
 
 0706 
 
 0765 
 
 0823 
 
 0882 
 
 0940 
 
 0999 
 
 
 
 32 
 
 1057 
 
 1115 
 
 1174 
 
 123^ 
 
 1291 
 
 1349 
 
 1408 
 
 1466 
 
 1524 
 
 1583 
 
 
 
 ^% 
 
 1641 
 
 1700 
 
 1758 
 
 1817 
 
 1875 
 
 1933 
 
 1992 
 
 2050 
 
 2109 
 
 2167 
 
 
 
 54 
 
 2226 
 
 2284 
 
 2342 
 
 2401 
 
 2459 
 
 2518 
 
 2576 
 
 2634 
 
 2693 
 
 2751 
 
 
 
 ^b 
 
 2810 
 
 2868 
 
 2927 
 
 2985 
 
 3043 
 
 31Q2 
 
 3160 
 
 3219 
 
 3277 
 
 3335 
 
 
 
 36 
 
 3394 
 
 3452 
 
 3511 
 
 3569 
 
 3627 
 
 3686 
 
 3744 
 
 3803 
 
 3861 
 
 3919 
 
 
 
 37 
 
 3978 
 
 4036 
 
 4095 
 
 4153 
 
 4211 
 
 4270 
 
 4328 
 
 4387 
 
 4445 
 
 4503 
 
 
 
 38 
 
 4562 
 
 4620 
 
 4679 
 
 4737 
 
 4795 
 
 4854 
 
 4912 
 
 4970 
 
 5029 
 
 5087 
 
 
 
 39 
 
 5146 
 
 5204 
 
 5262 
 
 5321 
 
 5379 
 
 5437 
 
 5496 
 
 5554 
 
 5613 
 
 5671 
 
 
 
 7440 
 
 5729 
 
 5788 
 
 5846 
 
 5904 
 
 5963 
 
 6021 
 
 6080 
 
 6138 
 
 6196 
 
 6255 
 
 
 
 41 
 
 6313 
 
 6371 
 
 6430 
 
 64-88 
 
 6546 
 
 6605 
 
 0663 
 
 6722 
 
 6780 
 
 6838 
 
 
 
 42 
 
 6897 
 
 6955 
 
 7013 
 
 7072 
 
 7130 
 
 7188 
 
 7247 
 
 7305 
 
 7363 
 
 7422 
 
 
 58 
 
 43 
 
 7480 
 
 7539 
 
 7597 
 
 7655 
 
 7714 
 
 7772 
 
 7830 
 
 7889 
 
 7947 
 
 8005 
 
 
 I 
 
 3 
 
 b 
 12 
 17 
 
 44 
 
 8064 
 
 8122 
 
 8180 
 
 8239 
 
 8297 
 
 8355 
 
 8414 
 
 8472 
 
 8530 
 
 8589 
 
 
 45 
 
 8647 
 
 8705 
 
 8764 
 
 8822 
 
 8880 
 
 8939 
 
 8997 
 
 9055 
 
 9114 
 
 9172 
 
 
 i 
 
 23 
 
 46 
 
 9230 
 
 9289 
 
 9347 
 
 9405 
 
 9464 
 
 9522 
 
 9580 
 
 9639 
 
 9697 
 
 9755 
 
 
 5 
 6 
 
 7 
 
 29 
 35 
 41 
 
 47 
 
 9814 
 
 9872 
 
 9930 
 
 9988 
 
 0047 
 
 0105 
 
 0163 
 
 0222 
 
 0280 
 
 0338 
 
 
 48 
 
 8720397 
 
 0455 
 
 0513 
 
 0572 
 
 0630 
 
 0688 
 
 0747 
 
 0805 
 
 0863 
 
 0921 
 
 
 8 
 
 46 
 
 49 
 
 N. . 
 
 0980 
 
 1038 
 
 1 
 
 1096 
 2 
 
 1155 
 
 3 
 
 1213 
 
 4 1 
 
 1271 
 
 1330 
 
 6 
 
 1388 
 
 7 
 
 1446 
 8 
 
 1504 
 
 9 
 
 D 
 
 9 
 
 52 
 
 
 
 5 
 
 ?ts:i 
 
N. 745 L. 872 of numbers. (135) 
 
 N. 
 
 
 
 1 
 
 52 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pro. 
 
 74.50 
 
 8721563 
 
 1621 
 
 1679 
 
 1733 
 
 1796 
 
 1854 
 
 1912 
 
 1971 
 
 2029 
 
 2087 
 
 
 
 51 
 
 2146 
 
 2204 
 
 2262 
 
 2320 
 
 2379 
 
 2437 
 
 2495 
 
 2554 
 
 2612 
 
 2670 
 
 
 58 
 
 52 
 
 2728 
 
 2787 
 
 2845 
 
 2903 
 
 2962 
 
 3020 
 
 3078 
 
 3136 
 
 3195 
 
 3253 
 
 
 1 6 
 
 53 
 
 3311 
 
 3369 
 
 3428 
 
 3486 
 
 3544 
 
 3603 
 
 3661 
 
 3719 
 
 3777 
 
 3836 
 
 
 2 12 
 
 3 17 
 
 4 23 
 
 54 
 
 3894 
 
 3952 
 
 4010 
 
 4069 
 
 4127 
 
 4185 
 
 4243 
 
 4302 
 
 4360 
 
 4418 
 
 
 55 
 
 4476 
 
 4535 
 
 4593 
 
 4651 
 
 4709 
 
 4768 
 
 4826 
 
 4884 
 
 4942 
 
 5001 
 
 
 5 29 
 
 56 
 
 5059 
 
 5117 
 
 5175 
 
 5234 
 
 5292 
 
 5350 
 
 5408 
 
 5467 
 
 5525 
 
 5583 
 
 
 6 35 
 
 7 41 
 
 8 46 
 
 57 
 
 5641 
 
 5700 
 
 5758 
 
 5816 
 
 5874 
 
 5933 
 
 5991 
 
 6049 
 
 6107 
 
 6166 
 
 
 58 
 
 6224 
 
 6282 
 
 6340 
 
 6398 
 
 6457 
 
 6515 
 
 6573 
 
 6631 
 
 6690 
 
 6748 
 
 
 9 52 
 
 59 
 
 6806 
 
 6864 
 
 6923 
 
 6981 
 
 7039 
 
 7097 
 
 7155 
 
 7214 
 
 7272 
 
 7330 
 
 
 
 7400 
 
 7388 
 
 7446 
 
 7505 
 
 7563 
 
 7621 
 
 7679 
 
 7738 
 
 7796 
 
 7854 
 
 7912 
 
 
 
 •61 
 
 7970 
 
 8029 
 
 8087 
 
 8145 
 
 8203 
 
 8261 
 
 8320 
 
 8378 
 
 8436 
 
 8494 
 
 
 
 62 
 
 8552 
 
 8611 
 
 8669 
 
 8727 
 
 8785 
 
 8843 
 
 8902 
 
 8960 
 
 9018 
 
 9076 
 
 
 
 63 
 
 9134 
 
 9193 
 
 9251 
 
 9309 
 
 9367 
 
 9425 
 
 9484 
 
 9542 
 
 9600 
 
 9658 
 
 
 
 64 
 
 9716 
 
 9774 
 
 9833 
 
 9891 
 
 9949 
 
 0007 
 
 0065 
 
 0124 
 
 0182 
 
 0240 
 
 
 
 65 
 
 8730298 
 
 0356 
 
 0414 
 
 0473 
 
 0531 
 
 0589 
 
 0647 
 
 0705 
 
 0764 
 
 0822 
 
 
 
 66 
 
 0880 
 
 0938 
 
 0996 
 
 1054 
 
 1113 
 
 1171 
 
 1229 
 
 1287 
 
 1345 
 
 1403 
 
 
 
 61 
 
 1462 
 
 1520 
 
 1578 
 
 1636 
 
 1694 
 
 1752 
 
 1810 
 
 1869 
 
 4 927 
 
 1985 
 
 
 
 68 
 
 2043 
 
 2101 
 
 2159 
 
 2218 
 
 2276 
 
 2334 
 
 2392 
 
 2450 
 
 2508 
 
 2566 
 
 
 
 69 
 
 2625 
 
 2683 
 
 2741 
 
 2799 
 
 2857 
 
 2915 
 
 2973 
 
 3032 
 
 3090 
 
 3148 
 
 
 
 7470 
 
 320g 
 
 3264 
 
 3322 
 
 3380 
 
 3439 
 
 3497 
 
 3555 
 
 3613 
 
 3671 
 
 3729 
 
 
 
 71 
 
 3787 
 
 3845 
 
 3904 
 
 3962 
 
 4020 
 
 4078 
 
 4136 
 
 4194 
 
 4252 
 
 4311 
 
 
 
 .72 
 
 4369 
 
 4427 
 
 4485 
 
 4543 
 
 4601 
 
 4659 
 
 4717 
 
 4775 
 
 4834 
 
 4892 
 
 
 
 73 
 
 4950 
 
 5008 
 
 5066 
 
 5124 
 
 5182 
 
 5240 
 
 5298 
 
 5357 
 
 5415 
 
 5473 
 
 
 
 74 
 
 5531 
 
 5589 
 
 5647 
 
 5705 
 
 5763 
 
 5821 
 
 5880 
 
 5938 
 
 5996 
 
 6054 
 
 
 
 75 
 
 6112 
 
 6170 
 
 6228 
 
 6286 
 
 6344 
 
 6402 
 
 6461 
 
 6519 
 
 6577 
 
 6635 
 
 
 
 76 
 
 6693 
 
 6751 
 
 6809 
 
 6867 
 
 6925 
 
 6983 
 
 7041 
 
 7100 
 
 7158 
 
 7216 
 
 
 
 77 
 
 7274 
 
 7332 
 
 7390 
 
 7448 
 
 7506 
 
 7564 
 
 7622 
 
 7680 
 
 7738 
 
 7797 
 
 
 
 78 
 
 7855 
 
 7913 
 
 7971 
 
 8029 
 
 8087 
 
 8145 
 
 8203 
 
 8261 
 
 8319 
 
 8377 
 
 
 
 79 
 
 8435 
 
 849 3 
 
 8551 
 
 8610 
 
 8668 
 
 8726 
 
 8784 
 
 8842 
 
 8900 
 
 8958 
 
 
 
 7480 
 
 9016 
 
 9074 
 
 9132 
 
 9190 
 
 9248 
 
 9306 
 
 9364 
 
 9422 
 
 9480 
 
 9538 
 
 
 
 81 
 
 9597 
 
 9655 
 
 9713 
 
 9771 
 
 9829 
 
 9887 
 
 9945 
 
 0003 
 
 0061 
 
 0119 
 
 
 
 82 
 
 8740177 
 
 0235 
 
 0293 
 
 0351 
 
 0409 
 
 0467 
 
 0525 
 
 0583 
 
 0641 
 
 0699 
 
 
 
 83 
 
 0757 
 
 0815 
 
 0374 
 
 0932 
 
 0990 
 
 1048 
 
 1106 
 
 1164 
 
 1222 
 
 1280 
 
 
 
 84 
 
 1338 
 
 1396 
 
 1454 
 
 1512 
 
 1570 
 
 1628 
 
 1686 
 
 1744 
 
 1802 
 
 1860 
 
 
 
 85 
 
 1918 
 
 1976 
 
 2034 
 
 2092 
 
 2150 
 
 2208 
 
 2266 
 
 2324 
 
 2382 
 
 2440 
 
 
 
 86 
 
 2498 
 
 2556 
 
 2614 
 
 2672 
 
 2730 
 
 2788 
 
 2846 
 
 2904 
 
 2962 
 
 3020 
 
 
 
 87 
 
 3078 
 
 3136 
 
 3194 
 
 3252 
 
 3310 
 
 3368 
 
 3426 
 
 3484 
 
 3542 
 
 3600 
 
 58 
 
 
 88 
 
 3658 
 
 3716 
 
 3774 
 
 3832 
 
 3890 
 
 3948 
 
 4006 
 
 4064 
 
 4122 
 
 4180 
 
 
 
 89 
 
 4238 
 
 4296 
 
 4354 
 
 4412 
 
 4470 
 
 4528 
 
 4586 
 
 4644 
 
 4702 
 
 4760 
 
 
 
 7490 
 
 4818 
 
 4876 
 
 4934 
 
 4992 
 
 505,0 
 
 5108 
 
 5166 
 
 5224 
 
 5282 
 
 5340 
 
 
 
 91 
 
 5398 
 
 5456 
 
 5514 
 
 5572 
 
 5630 
 
 5688 
 
 5746 
 
 5804 
 
 5862 
 
 5920 
 
 
 
 92 
 
 5978 
 
 6036 
 
 6094 
 
 6152 
 
 6210 
 
 6268 
 
 6325 
 
 6383 
 
 6441 
 
 6499 
 
 
 57 
 
 Q3 
 
 6557 
 
 6615 
 
 6673 
 
 6731 
 
 6789 
 
 6847 
 
 6905 
 
 6963 
 
 7021 
 
 7079 
 
 
 1 6 
 
 94 
 
 71S7 
 
 7195 
 
 7253 
 
 7311 
 
 7369 
 
 7427 
 
 7485 
 
 7543 
 
 7600 
 
 7658 
 
 
 2 11 
 
 3 17 
 
 95 
 
 7716 
 
 7774 
 
 7832 
 
 7890 
 
 7948 
 
 8005 
 
 8064 
 
 8122 
 
 8180 
 
 8238 
 
 
 4 23 
 
 96 
 
 8296 
 
 8354 
 
 8412 
 
 8470 
 
 8528 
 
 8585 
 
 8643 
 
 8701 
 
 8759 
 
 8817 
 
 
 5 29 
 
 97 
 
 8875 
 
 8933 
 
 8991 
 
 9049 
 
 9107 
 
 9165 
 
 9223 
 
 9281 
 
 9339 
 
 9396 
 
 
 6 34 
 
 7 40 
 
 8 46 
 
 98 
 
 9454 
 
 9512 
 
 9570 
 
 9628 
 
 9686 
 
 ,9744 
 
 9802 
 
 9860 
 
 9918 
 
 9976 
 
 
 99 
 
 N, 
 
 8750034 
 
 0091 
 1~ 
 
 0149 
 2 
 
 0207 
 
 1i~ 
 
 0265 
 
 4 
 
 0323 
 
 ~5~ 
 
 0381 
 
 ~6~ 
 
 0439 
 
 7 1 
 
 0497 
 
 0555 
 
 
 951 
 
 
 
 8 
 
 9 
 
 1) 
 
 Pts. 
 
(136*) LOGARITHMS N. 7.50 L. 8/5 
 
 N. 
 
 7500 
 
 
 
 1 
 
 0671 
 
 2 
 
 0728 
 
 3 
 
 0786 
 
 4 
 
 0844 
 
 5 
 
 0902 
 
 6 
 
 0960 
 
 7 
 
 1018 
 
 8 
 
 1076 
 
 9 
 
 1134 
 
 D 
 
 Pro. 
 
 8750613 
 
 01 
 
 1192 
 
 1250 
 
 1307 
 
 1365 
 
 1423 
 
 1481 
 
 1539 
 
 1597 
 
 1655 
 
 1713 
 
 
 58 
 
 02 
 
 1771 
 
 1828 
 
 1886 
 
 1944 
 
 2002 
 
 2060 
 
 2118 
 
 2176 
 
 2234 
 
 2292 
 
 
 1 6 
 
 03 
 
 2349 
 
 2407 
 
 2465 
 
 2323 
 
 2581 
 
 2639 
 
 2697 
 
 2755 
 
 2813 
 
 2870 
 
 
 2 12 
 
 04 
 
 2928 
 
 2986 
 
 3044 
 
 3102 
 
 3160 
 
 3218 
 
 3275 
 
 3333 
 
 3391 
 
 3449 
 
 
 317 
 4 '23 
 
 05 
 
 3507 
 
 3565 
 
 3623 
 
 3681 
 
 3738 
 
 3796 
 
 3854 
 
 3912 
 
 3970 
 
 4028 
 
 
 5!29 
 
 Of) 
 
 4086 
 
 4143 
 
 4201 
 
 4259 
 
 4317 
 
 4375 
 
 4433 
 
 4491 
 
 4548 
 
 4606 
 
 
 6|35 
 
 07 
 
 4664 
 
 4722 
 
 4780 
 
 4838 
 
 4896 
 
 4953 
 
 5011 
 
 5069 
 
 5127 
 
 5185 
 
 
 7 41 
 
 8 46 
 9152 
 
 08 
 
 5243 
 
 5300 
 
 5358 
 
 5416 
 
 5474 
 
 5532 
 
 5590 
 
 5648 
 
 5705 
 
 5763 
 
 
 09 
 
 5821 
 
 5879 
 
 5937 
 
 5995 
 
 6052 
 
 6110 
 
 6168 
 
 6226 
 
 6284 
 
 6342 
 
 , 
 
 
 7510 
 
 6399 
 
 6457 
 
 6515 
 
 6573 
 
 6631 
 
 6689 
 
 6746 
 
 6804 
 
 6862 
 
 6920 
 
 
 
 11 
 
 6978 
 
 7035 
 
 7093 
 
 7151 
 
 7209 
 
 7267 
 
 7325 
 
 7382 
 
 7440 
 
 7498 
 
 
 
 12 
 
 7556 
 
 7614 
 
 7671 
 
 7729 
 
 7787 
 
 7845 
 
 7903 
 
 7960 
 
 8018 
 
 8076 
 
 
 
 13 
 
 8134 
 
 8192 
 
 8249 
 
 8307 
 
 8365 
 
 8423 
 
 8481 
 
 8539 
 
 8596 
 
 8654 
 
 
 
 14 
 
 8712 
 
 8770 
 
 8828 
 
 8885 
 
 8943 
 
 9001 
 
 9059 
 
 9116 
 
 9174 
 
 9232 
 
 
 
 15 
 
 9290 
 
 9348 
 
 9405 
 
 9463 
 
 9521 
 
 9579 
 
 9637 
 
 9694 
 
 9752 
 
 9810 
 
 
 
 16 
 
 9868 
 
 9925 
 
 9983 
 
 ^041 
 
 0099 
 
 0157 
 
 0214 
 
 0272 
 
 0330 
 
 0388 
 
 
 
 17 
 
 8760446 
 
 0503 
 
 0561 
 
 0619 
 
 0677 
 
 0734 
 
 0792 
 
 0850 
 
 0908 
 
 0965 
 
 
 
 18 
 
 1023 
 
 1081 
 
 1139 
 
 1197 
 
 1254 
 
 1312 
 
 1370 
 
 1428 
 
 1485 
 
 1543 
 
 
 
 19 
 
 1601 
 
 1659 
 
 1716 
 
 1774 
 
 1832 
 
 1890 
 
 1947 
 
 2005 
 
 2063 
 
 2121 
 
 
 
 7520 
 
 2178 
 
 2236 
 
 2294 
 
 2352 
 
 2409 
 
 2467 
 
 2525 
 
 2583 
 
 2640 
 
 2698 
 
 
 
 21 
 
 2756 
 
 2814 
 
 2871 
 
 2929 
 
 2987 
 
 3045 
 
 3102 
 
 3160 
 
 3218 
 
 3276 
 
 
 
 22 
 
 3333 
 
 3391 
 
 3449 
 
 3506 
 
 3564 
 
 ^622 
 
 3680 
 
 3737 
 
 3795 
 
 3853 
 
 
 
 23 
 
 3911 
 
 3968 
 
 4026 
 
 4084 
 
 4142 
 
 4199 
 
 4257 
 
 4315 
 
 4372 
 
 4430 
 
 
 
 24 
 
 4488 
 
 4546 
 
 4603 
 
 4661 
 
 4719 
 
 4776 
 
 4834 
 
 4892 
 
 4950 
 
 5007 
 
 
 
 25 
 
 5065 
 
 5123 
 
 5180 
 
 5238 
 
 5296 
 
 5354 
 
 5411 
 
 5469 
 
 5527 
 
 5584 
 
 
 
 26 
 
 .5642 
 
 5700 
 
 5758 
 
 5815 
 
 5873 
 
 5931 
 
 5988 
 
 6046 
 
 6104 
 
 6161 
 
 
 
 27 
 
 6219 
 
 6277 
 
 6335 
 
 6392 
 
 6450 
 
 6508 
 
 6565 
 
 6623 
 
 6681 
 
 6738 
 
 
 
 28 
 
 6796 
 
 6854 
 
 6911 
 
 6969 
 
 7027 
 
 7085 
 
 7142 
 
 7200 
 
 7258 
 
 7315 
 
 
 
 29 
 
 7373 
 
 7431 
 
 7488 
 
 7546 
 
 7604 
 
 7661 
 
 7719 
 
 7777 
 
 7834 
 
 7892 
 
 
 
 7530 
 
 7950 
 
 8007 
 
 8065 
 
 8123 
 
 8180 
 
 8238 
 
 8296 
 
 8353 
 
 8411 
 
 8469 
 
 
 
 31 
 
 8526 
 
 8584 
 
 8642 
 
 8699 
 
 8757 
 
 8815 
 
 8872 
 
 8930 
 
 8988 
 
 9045 
 
 
 
 32 
 
 9103 
 
 9161 
 
 9218 
 
 9276 
 
 9334 
 
 9391 
 
 9449 
 
 9507 
 
 9564 
 
 0622 
 
 
 
 33 
 
 9680 
 
 9737, 
 
 9795 
 
 9853 
 
 9910 
 
 9968 
 
 0026 
 
 0083 
 
 0141 
 
 0199 
 
 
 
 34 
 
 8770256 
 
 0314 
 
 0371 
 
 0429 
 
 0487 
 
 0544 
 
 0602 
 
 0660 
 
 0717 
 
 0775 
 
 
 
 35 
 
 0833 
 
 0890 
 
 0948 
 
 1005 
 
 1063 
 
 1121 
 
 1178 
 
 1236 
 
 1294 
 
 1351 
 
 
 
 56 
 
 1409 
 
 1467 
 
 1524 
 
 1582 
 
 1639 
 
 1697 
 
 1755 
 
 1812 
 
 1870 
 
 1928 
 
 
 
 37 
 
 1985 
 
 2043 
 
 2100 
 
 2158 
 
 2216 
 
 2273 
 
 2331 
 
 2388 
 
 2446 
 
 2504 
 
 
 
 38 
 
 2561 
 
 2619 
 
 2677 
 
 2734 
 
 2792 
 
 2849 
 
 2907 
 
 2965 
 
 3022 
 
 3080 
 
 
 
 39 
 
 3137 
 
 3195 
 
 3253 
 
 3310 
 
 3368 
 
 3425 
 
 3483 
 
 3541 
 
 3598 
 
 3656 
 
 
 
 7540 
 
 3713 
 
 3771 
 
 3829 
 
 3886 
 
 3944 
 
 4001 
 
 4059 
 
 4117 
 
 4174 
 
 4232 
 
 
 
 41 
 
 4289 
 
 4347 
 
 4405 
 
 4462 
 
 4520 
 
 4577 
 
 4635 
 
 4693 
 
 4750 
 
 4808 
 
 
 
 42 
 
 4865 
 
 4923 
 
 4980 
 
 5038 
 
 5096 
 
 5153 
 
 5211 
 
 5268 
 
 5326 
 
 5384 
 
 
 57 
 
 43 
 
 5441 
 
 5499 
 
 5556 
 
 5614 
 
 5671 
 
 5729 
 
 5787 
 
 5844 
 
 5902 
 
 5959 
 
 
 1 6 
 
 44 
 
 6017 
 
 6074 
 
 6132 
 
 6189 
 
 6247 
 
 6305 
 
 6362 
 
 6420 
 
 6477 
 
 6535 
 
 
 2 11 
 
 3 17 
 
 45 
 
 6592 
 
 6650 
 
 6708 
 
 6765 
 
 6823 
 
 6880 
 
 6938 
 
 C995 
 
 7053 
 
 7110 
 
 
 4 23 
 
 46 
 
 7168 
 
 7226 
 
 7283 
 
 7341 
 
 7. '3 9 8 
 
 7456 
 
 7513 
 
 7571 
 
 7628 
 
 7686 
 
 
 5 29 
 
 47 
 
 7743 
 
 7801 
 
 7859 
 
 7916 
 
 7974 
 
 8031 
 
 8089 
 
 8146 
 
 8204 
 
 8261 
 
 
 6 34 
 
 7 40 
 
 8 46 
 
 48 
 
 8319 
 
 8376 
 
 8434 
 
 8492 
 
 8549 
 
 8607 
 
 8664 
 
 8722 
 
 8779 
 
 8837 
 
 
 49 
 
 8894 
 
 8952 
 1 
 
 9009 
 2 
 
 9067 
 
 3 
 
 9124 
 
 4 
 
 9182 
 
 5 
 
 9239 
 
 ~6~ 
 
 9297 
 7 
 
 ^354 
 8 
 
 9412 
 9 
 
 T) 
 
 951 
 Pts. 
 
 N. 
 
 
 
N.755 L.877 OF NUMBERS. (137)1 
 
 N. 
 
 7550 
 
 
 
 I 
 
 9527 
 
 9585 
 
 3 
 
 9642 
 
 4 
 9700 
 
 5 
 
 6 
 
 ^815 
 
 7 
 
 8 
 
 9930 
 
 9 
 
 9987 
 
 D Pre 
 
 ). 
 
 8779470 
 
 9757 < 
 
 9872 
 
 " 
 
 51 
 
 8780045 
 
 3102 
 
 0160 
 
 0217 
 
 0275 
 
 0332 ( 
 
 3390 
 
 0447 
 
 0505 
 
 0562 
 
 58 
 
 
 52 
 
 0620 
 
 0677 
 
 0735 
 
 0792 
 
 0850 
 
 0907 
 
 3965 
 
 1022 
 
 1080 
 
 1137 
 
 1 
 
 G 
 
 53 
 
 1195 
 
 1252 
 
 1310 
 
 1367 
 
 1425 
 
 1482 
 
 1540 
 
 1597 
 
 1655 
 
 1712 
 
 2 12 
 
 3 17 
 
 4 23 
 
 54 
 
 1770 
 
 1827 
 
 1885 
 
 1942 
 
 2000 
 
 2057 
 
 2115 
 
 2172 
 
 2230 
 
 2287 
 
 55 
 
 2345 
 
 2402 
 
 2460 
 
 2517 
 
 2575 
 
 2632 
 
 2690 
 
 2747 
 
 2805 
 
 2862 
 
 5 29 
 
 56 
 
 2919 
 
 2977 
 
 3034 
 
 3092 
 
 3149 
 
 3207 
 
 3264 
 
 3322 
 
 3379 
 
 3437 
 
 6 35 
 741 
 
 8 4« 
 
 51 
 
 3494 
 
 3552 
 
 3609 
 
 3667 
 
 3724 
 
 3782 
 
 3839 
 
 3896 
 
 3954 
 
 4011 
 
 58 
 
 4069 
 
 4126 
 
 4184 
 
 4241 
 
 4299 
 
 4356 
 
 4414 
 
 4471 
 
 4529 
 
 4586 
 
 95 
 
 2 
 
 59 
 
 4643 
 
 4701 
 
 4758 
 
 4816 
 
 4873 
 
 4931 
 
 4988 
 
 5046 
 
 5103 
 
 5161 
 
 
 
 7560 
 
 5218 
 
 5275 
 
 5333 
 
 5390 
 
 5448 
 
 5505 
 
 5563 
 
 5620 
 
 5678 
 
 5735 
 
 
 
 61 
 
 5792 
 
 5850 
 
 5907 
 
 5965 
 
 6022 
 
 6080 
 
 6137 
 
 6194 
 
 6252 
 
 6309 
 
 
 
 62 
 
 6367 
 
 6424 
 
 6482 
 
 6539 
 
 6596 
 
 6654 
 
 6711 
 
 6769 
 
 6826 
 
 6884 
 
 
 
 63 
 
 6941 
 
 69y8 
 
 7056 
 
 7113 
 
 7171 
 
 7228 
 
 7286 
 
 7343 
 
 7400 
 
 745,8 
 
 
 
 64 
 
 7515 
 
 7573 
 
 7630 
 
 7687 
 
 7745 
 
 7802 
 
 7860 
 
 7917 
 
 7975 
 
 8032 
 
 
 
 65 
 
 8089 
 
 8147 
 
 8204 
 
 8262 
 
 8319 
 
 8376 
 
 8434 
 
 8491 
 
 8549 
 
 8606 
 
 
 
 66 
 
 8663 
 
 8721 
 
 8778 
 
 8836 
 
 8893 
 
 8950 
 
 9008 
 
 9065 
 
 9123 
 
 9180 
 
 
 
 61 
 
 9237 
 
 9295 
 
 9352 
 
 9410 
 
 9467 
 
 9524 
 
 9582 
 
 9639 
 
 9696 
 
 9754 
 
 
 
 68 
 
 9811 
 
 9869 
 
 9926 
 
 9983 
 
 0041 
 
 0098 
 
 0156 
 
 0213 
 
 0270 
 
 0328 
 
 
 
 69 
 
 ^790385 
 
 0442 
 
 0500 
 
 0557 
 
 0615 
 
 0672 
 
 0729 
 
 0787 
 
 0844 
 
 0901 
 
 
 
 7570 
 
 0959. 
 
 1016 
 
 1074 
 
 1131 
 
 1188 
 
 1246 
 
 1303 
 
 1360 
 
 1418 
 
 1475 
 
 
 
 71 
 
 1532 
 
 1590 
 
 1647 
 
 1705 
 
 1762 
 
 1819 
 
 1877 
 
 1934 
 
 1991 
 
 2049 
 
 
 
 72 
 
 2106 
 
 2163 
 
 2221 
 
 2278 
 
 2335 
 
 2393 
 
 2450 
 
 2508 
 
 2565 
 
 2622 
 
 
 
 73 
 
 2680 
 
 2737 
 
 2794 
 
 2852 
 
 2909 
 
 2966 
 
 3024 
 
 3081 
 
 3138 
 
 3196 
 
 
 
 74 
 
 3253 
 
 3310 
 
 3368 
 
 3425 
 
 3482 
 
 3540 
 
 3597 
 
 3654 
 
 3712 
 
 3769 
 
 
 
 75 
 
 3826 
 
 3884 
 
 3941 
 
 3998 
 
 4056 
 
 4113 
 
 4170 
 
 4228 
 
 4285 
 
 4342 
 
 
 
 76 
 
 4400 
 
 4457 
 
 4514 
 
 4572 
 
 4629 
 
 4686 
 
 4744 
 
 4801 
 
 4858 
 
 4916 
 
 
 
 . 77 
 
 4973 
 
 5030 
 
 5088 
 
 5145 
 
 5202 
 
 5259 
 
 5317 
 
 5374 
 
 5431 
 
 5489 
 
 
 
 78 
 
 5546 
 
 5603 
 
 5661 
 
 5718 
 
 5775 
 
 5833 
 
 5890 
 
 5947 
 
 6004 
 
 6062 
 
 
 
 79 
 
 6119 
 
 6176 
 
 6234 
 
 6291 
 
 6348 
 
 6406 
 
 6463 
 
 6520 
 
 6577 
 
 6635 
 
 
 
 7580 
 
 6692 
 
 6749 
 
 6807 
 
 6864 
 
 6921 
 
 6979 
 
 7036 
 
 7093 
 
 7150 
 
 7208 
 
 
 
 81 
 
 7265 
 
 7322 
 
 7380 
 
 7437 
 
 7494 
 
 7551 
 
 7609 
 
 7666 
 
 7723 
 
 7781 
 
 
 
 82 
 
 7838 
 
 7895 
 
 7952 
 
 8010 
 
 8067 
 
 8124 
 
 8181 
 
 8239 
 
 8290 
 
 8353 
 
 
 
 83 
 
 8411 
 
 8468 
 
 8525 
 
 8582 
 
 8640 
 
 8697 
 
 8754 
 
 8811 
 
 8869 
 
 8926 
 
 
 
 84 
 
 8983 
 
 9041 
 
 9098 
 
 9255 
 
 9212 
 
 9270 
 
 9327 
 
 9384 
 
 9441 
 
 9499 
 
 
 
 85 
 
 9556 
 
 9613 
 
 9670 
 
 9728 
 
 9785 
 
 9842 
 
 9899 
 
 995t 
 
 0014 
 
 007] 
 
 
 
 86 
 
 8800128 
 
 0186 
 
 0243 
 
 0300 
 
 0357 
 
 0415 
 
 0472 
 
 0529 
 
 0586 
 
 0644 
 
 
 
 87 
 
 0701 
 
 0758 
 
 0815 
 
 0873 
 
 0930 
 
 0987 
 
 1044 
 
 1102 
 
 1159 
 
 1216 
 
 
 
 88 
 
 1273 
 
 1330 
 
 1388 
 
 1445 
 
 1502 
 
 1559 
 
 1617 
 
 1674 
 
 1731 
 
 1788 
 
 
 
 89 
 
 1846 
 
 1903 
 
 1960 
 
 2017 
 
 2074 
 
 2132 
 
 2189 
 
 2246 
 
 2303 
 
 2361 
 
 
 
 7590 
 
 2418 
 
 2475 
 
 2532 
 
 2589 
 
 2647 
 
 2704 
 
 2761 
 
 2818 
 
 2875 
 
 2933 
 
 
 
 91 
 
 2990 
 
 3047 
 
 3104 
 
 3162 
 
 3219 
 
 3276 
 
 3333 
 
 .'i390 
 
 3448 
 
 3505 
 
 
 
 92 
 
 3562 
 
 3619 
 
 3676 
 
 3734 
 
 3791 
 
 3848 
 
 3905 
 
 3962 
 
 4020 
 
 4077 
 
 
 57 
 
 93 
 
 4134 
 
 4191 
 
 4248 
 
 4306 
 
 4363 
 
 4420 
 
 4477 
 
 4534 
 
 4592 
 
 4649 
 
 I 
 
 6 
 
 94 
 
 4706 
 
 4763 
 
 4820 
 
 4877 
 
 4935 
 
 4992 
 
 5049 
 
 5106 
 
 5163 
 
 5221 
 
 2 
 3 
 
 11 
 17 
 
 95 
 
 5278 
 
 5335 
 
 5392 
 
 5449 
 
 5507 
 
 5564 
 
 5621 
 
 5678 
 
 5735 
 
 5792 
 
 4 
 
 23 
 
 96 
 
 5850 
 
 5907 
 
 5964 
 
 6021 
 
 6078 
 
 6135 
 
 6193 
 
 625C 
 
 6307 
 
 6364 
 
 6 
 6 
 
 7 
 
 29 
 
 97 
 
 6421 
 
 6478 
 
 6536 
 
 6593 
 
 6650 
 
 6707 
 
 676^ 
 
 ^ 6821 
 
 6879 
 
 6936 
 
 34 
 40 
 46 
 
 98 
 
 .6993 
 
 7050 
 
 7107 
 
 7164 
 
 7222 
 
 7279 
 
 7336 
 
 7393 
 
 7450 
 
 7507 
 
 / 
 
 8 
 
 9S 
 
 N. 
 
 7564 
 
 7622 
 1 
 
 7679 
 1 2 
 
 7736 
 
 3 
 
 7793 
 
 4 
 
 7850 
 1 5 
 
 7907 
 
 6 
 
 7^964 
 
 7 
 
 8022 
 8 
 
 8079 
 
 9 
 
 9 
 
 D T 
 
 51 . 
 
 
 
 IS. 
 
(13S) LOGARITHMS N. 76() L. 880 
 
 N. 
 
 7000 
 
 
 
 1 
 
 8193 
 
 2 
 
 8250 
 
 3 
 
 8307 
 
 4 
 
 8364 
 
 5 
 
 8422 
 
 6 
 
 8479 
 
 7 
 
 8536 
 
 8 
 
 8593 
 
 9 
 
 8650 
 
 D 
 
 Pro. 
 
 8808 130 
 
 01 
 
 8707 
 
 8764 
 
 8822 
 
 8879 
 
 8936 
 
 8993 
 
 9050 
 
 9107 
 
 9164 
 
 9222 
 
 
 58 
 
 02 
 
 9279 
 
 9336 
 
 9393 
 
 9450 
 
 9507 
 
 9564 
 
 9621 
 
 9679 
 
 9736 
 
 9793 
 
 
 1 6 
 
 03 
 
 9850 
 
 9907 
 
 9964 
 
 0021 
 
 0078 
 
 0136 
 
 0193 
 
 0250 
 
 0307 
 
 0364 
 
 
 2 12 
 
 3 17 
 
 4 23 
 
 04 
 
 8810421 
 
 0478 
 
 0535 
 
 0592 
 
 0650 
 
 0707 
 
 0764 
 
 0821 
 
 0878 
 
 0935 
 
 
 05 
 
 0992 
 
 1049 
 
 1106 
 
 1163 
 
 1221 
 
 1278 
 
 1335 
 
 1392 
 
 1449 
 
 1506 
 
 
 5 29 
 
 06 
 
 1563 
 
 1620 
 
 1677 
 
 1735 
 
 1792 
 
 1849 
 
 1906 
 
 1963 
 
 2020 
 
 2077 
 
 
 6 35 
 
 7 41 
 
 8 46 
 
 07 
 
 2134 
 
 2191 
 
 2248 
 
 2305 
 
 2363 
 
 2420 
 
 2477 
 
 2534 
 
 2591 
 
 2648 
 
 
 08 
 
 2705 
 
 2762 
 
 2819 
 
 2876 
 
 2933 
 
 2990 
 
 3048 
 
 3105 
 
 3162 
 
 3219 
 
 
 9 52 
 
 09 
 
 3276 
 
 3333 
 
 3390 
 
 3447 
 
 3504 
 
 3561 
 
 3618 
 
 3675 
 
 3732 
 
 3789 
 
 
 
 7610 
 
 3847 
 
 3904 
 
 3961 
 
 4018 
 
 4075 
 
 4132 
 
 4189 
 
 4246 
 
 4303 
 
 4360 
 
 
 
 11 
 
 4417 
 
 4474 
 
 4531 
 
 4588 
 
 4645 
 
 4703 
 
 4760 
 
 4817 
 
 4874 
 
 4931 
 
 
 
 12 
 
 4988 
 
 5045 
 
 5102 
 
 5159 
 
 5216 
 
 5273 
 
 5330 
 
 5387 
 
 5444 
 
 5501 
 
 
 
 13 
 
 5358 
 
 5615 
 
 5672 
 
 5729 
 
 5786 
 
 5844 
 
 5901 
 
 5958 
 
 6015 
 
 6072 
 
 
 
 14 
 
 6129 
 
 6186 
 
 6243 
 
 6300 
 
 6357 
 
 6414 
 
 6471 
 
 6528 
 
 6585 
 
 6642 
 
 
 
 15 
 
 6699 
 
 6756 
 
 6813 
 
 6870 
 
 6927 
 
 6984 
 
 7041 
 
 7098 
 
 7155 
 
 7212 
 
 
 
 16 
 
 7269 
 
 7326 
 
 7383 
 
 7440 
 
 7497 
 
 7554 
 
 7611 
 
 7669 
 
 7726 
 
 7783 
 
 
 
 17 
 
 7840 
 
 7897 
 
 7954 
 
 8011 
 
 8068 
 
 8125 
 
 8182 
 
 8239 
 
 8296 
 
 8353 
 
 
 
 18 
 
 8410 
 
 8467 
 
 8524 
 
 8581 
 
 8638 
 
 8695 
 
 8752 
 
 8809 
 
 8866 
 
 8923 
 
 
 
 19 
 
 8980 
 
 9037 
 
 9094 
 
 9151 
 
 9208 
 
 9265 
 
 9322 
 
 9379 
 
 9436 
 
 9493 
 
 57 
 
 
 7020 
 
 9550 
 
 9607 
 
 9664 
 
 9721 
 
 9778 
 
 9835 
 
 9892 
 
 9949 
 
 0006 
 
 0063 
 
 
 
 21 
 
 8820120 
 
 0177 
 
 0234 
 
 0291 
 
 0348 
 
 0405 
 
 0462 
 
 0519 
 
 0575 
 
 0632 
 
 
 
 22 
 
 0689 
 
 0746 
 
 0803 
 
 0860 
 
 0917 
 
 0974 
 
 1031 
 
 1088 
 
 1145 
 
 1202 
 
 
 
 23 
 
 1259 
 
 1316 
 
 1373 
 
 1430 
 
 1487 
 
 1544 
 
 1601 
 
 1658 
 
 1715 
 
 1772 
 
 
 
 24 
 
 1829 
 
 1886 
 
 1943 
 
 2000 
 
 2057 
 
 2114 
 
 2171 
 
 2228 
 
 2285 
 
 2342 
 
 
 
 25 
 
 2398 
 
 2455 
 
 2512 
 
 2569 
 
 2626 
 
 2683 
 
 2740 
 
 2797 
 
 2854 
 
 2911 
 
 
 
 26 
 
 2968 
 
 3025 
 
 3082 
 
 3139 
 
 3196 
 
 3253 
 
 3310 
 
 3367 
 
 3424 
 
 3481 
 
 
 
 27 
 
 3537 
 
 3594 
 
 3651 
 
 3708 
 
 3765 
 
 3822 
 
 3879 
 
 3936 
 
 3993 
 
 4050 
 
 
 
 28 
 
 4107 
 
 4164 
 
 4221 
 
 4278 
 
 4335 
 
 4392 
 
 4448 
 
 4505 
 
 4562 
 
 4619 
 
 
 
 29 
 
 4676 
 
 4733 
 
 4790 
 
 4847 
 
 4904 
 
 4961 
 
 5018 
 
 5075 
 
 5132 
 
 5188 
 
 
 
 7o30 
 
 5245 
 
 5302 
 
 5359 
 
 5416 
 
 5473 
 
 ■5530 
 
 5587 
 
 5644 
 
 5701 
 
 5758 
 
 
 
 31 
 
 5815 
 
 5871 
 
 5928 
 
 5985 
 
 6042 
 
 6099 
 
 6156 
 
 6213 
 
 6270 
 
 6327 
 
 
 
 32 
 
 6384 
 
 6441 
 
 6497 
 
 6554 
 
 6611 
 
 6QQS 
 
 6725 
 
 6782 
 
 6839 
 
 6896 
 
 
 
 33 
 
 6953 
 
 7010 
 
 7066 
 
 7123 
 
 7180 
 
 7237 
 
 7294 
 
 7351 
 
 7408 
 
 7465 
 
 
 
 34 
 
 7522 
 
 7578 
 
 7635 
 
 7692 
 
 7749 
 
 7806 
 
 7863 
 
 7920 
 
 7977 
 
 8034 
 
 
 
 35 
 
 8090 
 
 8147 
 
 8204 
 
 8261 
 
 8318 
 
 8375 
 
 8432 
 
 8489 
 
 8545 
 
 8602 
 
 
 
 36 
 
 8659 
 
 8716 
 
 8773 
 
 8830 
 
 8887 
 
 8944 
 
 9000 
 
 9057 
 
 9114 
 
 9171 
 
 
 
 31 
 
 9228 
 
 9285 
 
 9342 
 
 9399 
 
 9455 
 
 9512 
 
 9569 
 
 9626 
 
 9683 
 
 9740 
 
 
 
 38 
 
 9797 
 
 9853 
 
 9910 
 
 9967 
 
 0024 
 
 0081 
 
 0138 
 
 0195 
 
 0251 
 
 0308 
 
 
 1 
 
 39 
 
 8830365 
 
 0422 
 
 0479 
 
 0536 
 
 0593 
 
 0649 
 
 0706 
 
 0763 
 
 0820 
 
 0877 
 
 
 
 7640 
 
 0934 
 
 0990 
 
 1047 
 
 1104 
 
 1161 
 
 1218 
 
 1275 
 
 1331 
 
 1388 
 
 1 445 
 
 
 
 41 
 
 1502 
 
 1559 
 
 1616 
 
 1673 
 
 1729 
 
 1786 
 
 1843 
 
 1900 
 
 1957 
 
 2014 
 
 
 j 
 
 42 
 
 2070 
 
 2127 
 
 2184 
 
 2241 
 
 2298 
 
 2354 
 
 2411 
 
 2468 
 
 2525 
 
 2582 
 
 
 57 
 
 43 
 
 2639 
 
 2695 
 
 2752 
 
 2809 
 
 2866 
 
 2923 
 
 2980 
 
 3036 
 
 3093 
 
 3150 
 
 
 1 6 
 
 44 
 
 3207 
 
 3264 
 
 3320 
 
 3377 
 
 3434 
 
 3491 
 
 3548 
 
 3604 
 
 3661 
 
 3718 
 
 
 2 II 
 
 3 17 ' 
 
 45 
 
 3775 
 
 3832 
 
 3889 
 
 3945 
 
 4002 
 
 4059 
 
 4116 
 
 4173 
 
 4229 
 
 4286 
 
 
 4 23 
 
 46 
 
 4345 
 
 4400 
 
 4457 
 
 1.513 
 
 4570 
 
 4627 
 
 4684 
 
 4741 
 
 1797 
 
 4854 
 
 
 5 29 . 
 
 47 
 
 4911 
 
 4968 
 
 5024 
 
 5081 
 
 5138 
 
 5195 
 
 5252 
 
 5308 
 
 5365 
 
 5422 
 
 
 [)'34 
 7 40 
 i 46 
 
 48 
 
 5479 
 
 553Q 
 
 5592 
 
 5649 
 
 5706 
 
 5763 
 
 5819 
 
 5876 
 
 5933 
 
 5990 
 
 
 49 
 
 6047 
 
 6103 
 
 6160 
 
 6217 
 
 6274 
 
 6530 
 
 6387 
 
 6444 
 
 ^501 
 
 6^.58 
 
 iU\ 
 
 [N.l 
 
 
 
 ~r 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7~ 
 
 8 
 
 9 Id 1 
 
 ^ts. 
 
N.76\5 L. 883 ' of numbers. (139) 
 
 N. 
 
 76.5C 
 
 
 
 1 
 
 6671 
 
 9. 
 
 6728 
 
 3 
 
 6785 
 
 4 
 
 6841 
 
 1 5 
 
 6898 
 
 6 
 
 6955 
 
 7 
 
 7012 
 
 8 
 
 7068 
 
 9 
 
 7125 
 
 1) 
 
 Pro. 
 
 8836614 
 
 51 
 
 7182 
 
 7239 
 
 729G 
 
 7352 
 
 7409 
 
 7466 
 
 7523 
 
 7579 
 
 7636 
 
 7693 
 
 
 57 
 
 52 
 
 775C 
 
 7806 
 
 7863 
 
 7920 
 
 7977 
 
 8033 
 
 8090 
 
 8147 
 
 8204 
 
 8260 
 
 
 J G 
 
 53 
 
 8317 
 
 8374 
 
 8431 
 
 8487 
 
 8544 
 
 8601 
 
 8658 
 
 8714 
 
 8771 
 
 8828 
 
 
 '2 11 
 
 3 17 
 
 4 23 
 
 54 
 
 8885 
 
 8941 
 
 8998 
 
 9055 
 
 9112 
 
 9168 
 
 9225 
 
 9282 
 
 9338 
 
 9395 
 
 
 55 
 
 9452 
 
 9509 
 
 Q565 
 
 9622 
 
 9679 
 
 9736 
 
 9792 
 
 9849 
 
 9906 
 
 9963 
 
 
 5 29 
 
 56 
 
 8840019 
 
 0076 
 
 0133 
 
 0189 
 
 0246 
 
 0303 
 
 0360 
 
 0416 
 
 0473 
 
 0530 
 
 
 6 34 
 
 7 40 
 
 8 46 
 
 57 
 
 0586 
 
 0643 
 
 0700 
 
 0757 
 
 0813 
 
 0870 
 
 0927 
 
 0983 
 
 1040 
 
 109t 
 
 
 58 
 
 1154 
 
 1210 
 
 1267 
 
 1324 
 
 1380 
 
 1437 
 
 1494 
 
 1551 
 
 1607 
 
 1664 
 
 
 9bl 
 
 59 
 
 1721 
 
 1777 
 
 1834 
 
 1891 
 
 1948 
 
 2004 
 
 2061 
 
 2118 
 
 2174 
 
 223 1 
 
 
 
 7660 
 
 2288 
 
 2344 
 
 2401 
 
 2458 
 
 2514 
 
 2571 
 
 2628 
 
 2685 
 
 2741 
 
 2798 
 
 
 
 61 
 
 2855 
 
 2911 
 
 2968 
 
 3025 
 
 3081 
 
 3138 
 
 3195 
 
 3251 
 
 3308 
 
 3365 
 
 
 
 62 
 
 3421 
 
 3478 
 
 3535 
 
 3592 
 
 3648 
 
 3705 
 
 3762 
 
 3818 
 
 3875 
 
 3932 
 
 
 
 63 
 
 3988 
 
 4045 
 
 4102 
 
 4158 
 
 4215 
 
 4272 
 
 4328 
 
 4385 
 
 4442 
 
 4498 
 
 
 
 64 
 
 4555 
 
 4612 
 
 4668 
 
 4725 
 
 4782 
 
 4838 
 
 4895 
 
 4952 
 
 5008 
 
 5065 
 
 
 
 65 
 
 5122 
 
 5178 
 
 5235 
 
 5292 
 
 5348 
 
 5405 
 
 5462 
 
 5518 
 
 5575 
 
 5631 
 
 
 
 66 
 
 5688 
 
 5745 
 
 5801 
 
 5858 
 
 5915 
 
 5971 
 
 6028 
 
 6085 
 
 6141 
 
 6198 
 
 
 
 67 
 
 6255 
 
 6311 
 
 6368 
 
 6425 
 
 6481 
 
 6538 
 
 6594 
 
 6651 
 
 6708 
 
 6764 
 
 
 
 6S 
 
 6821 
 
 6878 
 
 6934 
 
 6991 
 
 7048 
 
 7104 
 
 7161 
 
 7217 
 
 7274 
 
 7331 
 
 
 
 69 
 
 7387 
 
 7444 
 
 7501 
 
 7557 
 
 7614 
 
 7671 
 
 7727 
 
 7784 
 
 7840 
 
 7897 
 
 
 
 7670 
 
 7954 
 
 8010 
 
 8067 
 
 8124 
 
 8180 
 
 8237 
 
 8293 
 
 8350 
 
 8407 
 
 8463 
 
 
 
 71 
 
 8520 
 
 8576 
 
 8633 
 
 8690 
 
 8746 
 
 8803 
 
 8860 
 
 8916 
 
 8973 
 
 9029 
 
 
 
 72 
 
 9086 
 
 9143 
 
 9199 
 
 9256 
 
 9312 
 
 9369 
 
 9426 
 
 9482 
 
 9539 
 
 9595 
 
 
 
 73 
 
 9652 
 
 9709 
 
 9765 
 
 9822 
 
 9878 
 
 9935 
 
 9992 
 
 0048 
 
 0105 
 
 0161 
 
 
 
 74 
 
 8850218 
 
 0275 
 
 0331 
 
 0388 
 
 0444 
 
 0501 
 
 0557 
 
 0614 
 
 0671 
 
 0727 
 
 
 
 75 
 
 0784 
 
 0840 
 
 0897 
 
 0954 
 
 1010 
 
 1067 
 
 1123 
 
 1180 
 
 1237 
 
 1293 
 
 
 
 76 
 
 1350 
 
 1406 
 
 1463 
 
 1519 
 
 1576 
 
 1633 
 
 1689 
 
 1746 
 
 1802 
 
 1859 
 
 
 
 77 
 
 1915 
 
 1972 
 
 2029 
 
 2085 
 
 2142 
 
 2198 
 
 2255 
 
 2311 
 
 2368 
 
 2425 
 
 
 
 78 
 
 2481 
 
 2538 
 
 2594 
 
 2651 
 
 2707 
 
 2764 
 
 2820 
 
 2877 
 
 2934 
 
 2990 
 
 
 
 79 
 
 3047 
 
 3103 
 
 3160 
 
 3216 
 
 3273 
 
 3329 
 
 3386 
 
 3443 
 
 3499 
 
 3556 
 
 
 
 7680 
 
 3612 
 
 3669 
 
 3725 
 
 3782 
 
 3838 
 
 3895 
 
 3951 
 
 4008 
 
 4065 
 
 4121 
 
 
 
 81 
 
 4178 
 
 4234 
 
 4291 
 
 4347 
 
 4404 
 
 4460 
 
 4517 
 
 4573 
 
 4630 
 
 4686 
 
 
 
 82 
 
 4743 
 
 4800 
 
 4856 
 
 4913 
 
 4969 
 
 5026 
 
 5082 
 
 5139 
 
 5195 
 
 5252 
 
 
 
 83 
 
 5308 
 
 5365 
 
 5421 
 
 5478 
 
 5534 
 
 5591 
 
 5647 
 
 5704 
 
 5761 
 
 5817 
 
 
 
 84 
 
 5874 
 
 5930 
 
 5987 
 
 6043 
 
 6100 
 
 6156 
 
 6213 
 
 6269 
 
 6326 
 
 6382 
 
 
 
 85 
 
 6439 
 
 6495 
 
 6552 
 
 6608 
 
 6665' 
 
 6721 
 
 6778 
 
 6834 
 
 6891 
 
 6947 
 
 
 
 86 
 
 7004 
 
 7060 
 
 7117 
 
 7173 
 
 7230 
 
 7286 
 
 7343 
 
 7399 
 
 7456 
 
 7512 
 
 
 
 87 
 
 7569 
 
 7625 
 
 7682 
 
 7738 
 
 7795 
 
 7851 
 
 7908 
 
 7964 
 
 8021 
 
 8077 
 
 
 
 88 
 
 8134 
 
 8190 
 
 8247 
 
 8303 
 
 8360 
 
 8416 
 
 8473 
 
 8529 
 
 8586,- 
 
 "8642 
 
 
 
 89 
 
 8699 
 
 8755 
 
 8812 
 
 8868 
 
 8925 
 
 8981 
 
 9037 
 
 9094 
 
 9150 
 
 9207 
 
 
 
 7690 
 
 9263 
 
 9320 
 
 9376 
 
 9433 
 
 9489 
 
 9546 
 
 9602 
 
 9659 
 
 9715 
 
 9772 
 
 
 
 91 
 
 9828 
 
 9885 
 
 9941 
 
 9998 
 
 0054 
 
 0110 
 
 0167 
 
 0223 
 
 0280 
 
 0336 
 
 
 
 92 
 
 8860393 
 
 0449 
 
 0506 
 
 0562 
 
 0619 
 
 0675 
 
 0732 
 
 0788 
 
 0844 
 
 0901 
 
 
 56 
 
 93 
 
 0957 
 
 1014 
 
 1070 
 
 1127 
 
 1183 
 
 1240 
 
 1296 
 
 1352 
 
 1409 
 
 1465 
 
 
 1 6 
 
 94 
 
 1522 
 
 1578 
 
 1635 
 
 1691 
 
 1748 
 
 1804 
 
 I860 
 
 1917 
 
 1973 
 
 2030 
 
 
 2 U 
 
 3 17 
 
 95 
 
 2086 
 
 2143 
 
 2199 
 
 2256 
 
 2312 
 
 2368 
 
 2425 
 
 2481 
 
 2538 
 
 2594 
 
 
 4 22 
 
 96 
 
 2651 
 
 2707 
 
 2763 
 
 2820 
 
 2876 
 
 2933 
 
 2989 
 
 3046 
 
 3102 
 
 3158 
 
 
 5 28 
 
 97 
 
 3215 
 
 3271 
 
 3328 
 
 3384 
 
 3441 
 
 3497 
 
 3553 
 
 3610 
 
 3666 
 
 5723 
 
 
 5 34 
 '39 
 3 45. 
 
 98 
 
 3779 
 
 3835 
 
 3892 
 
 3948 
 
 4005 
 
 4061 
 
 4113 
 
 1174 
 
 4230 
 
 4287 
 
 
 99 
 N. 
 
 4343 
 
 4400 
 1 
 
 U56 
 
 2 
 
 4512 
 
 3 
 
 4569 
 
 4625 
 5 
 
 4682 
 
 6 
 
 4738 
 7 
 
 4794 
 
 8 
 
 4851 
 
 9 
 
 D 
 
 )50 
 
 Pts. 
 
 
 
 4 
 
 Q I y 
 
(140) LOGARITHMS N. 770 L. 886 
 
 N. 
 
 7700 
 
 
 
 1 
 
 4964 
 
 2 
 5020 
 
 3 
 
 5076 
 
 4 
 
 5133 
 
 5 
 
 5189 
 
 6 
 
 5246 
 
 7 
 
 5302 
 
 8 
 5358 
 
 9 
 
 5415 
 
 I) 
 
 Pro. 
 
 8864907 
 
 01 
 
 5471 
 
 5528 
 
 5584 
 
 5640 
 
 5697 
 
 5753 
 
 5810 
 
 5866 
 
 5922 
 
 5979 
 
 
 57 
 
 02 
 
 6035 
 
 6092 
 
 6148 
 
 6204 
 
 6261 
 
 6317 
 
 6373 
 
 6430 
 
 6486 
 
 6543 
 
 
 1 6 
 
 03 
 
 6599 
 
 6655 
 
 6712 
 
 6768 
 
 6824 
 
 6881 
 
 6937 
 
 6994 
 
 7050 
 
 7106 
 
 
 2 11 
 
 3 17 
 
 4 23 
 
 04 
 
 7163 
 
 7219 
 
 7275 
 
 7332 
 
 7388 
 
 7445 
 
 7501 
 
 7557 
 
 7614 
 
 7670 
 
 
 05 
 
 7726 
 
 7783 
 
 7839 
 
 7896 
 
 7952 
 
 8008 
 
 8065 
 
 8121 
 
 8177 
 
 8234 
 
 
 5 29 
 
 06 
 
 8290 
 
 8346 
 
 8403 
 
 8459 
 
 8515 
 
 8572 
 
 8628 
 
 8685 
 
 8741 
 
 8797 
 
 
 6 34 
 
 7 40 
 
 8 46 
 
 07 
 
 8854 
 
 8910 
 
 8966 
 
 9023 
 
 9079 
 
 9135 
 
 9192 
 
 9248 
 
 9304 
 
 9361 
 
 
 08 
 
 9417 
 
 9473 
 
 9530 
 
 9586 
 
 9642 
 
 9699 
 
 9755 
 
 98 fl 
 
 9868 
 
 9924 
 
 
 9 51 
 
 oy 
 
 9980 
 
 0037 
 
 0093 
 
 0149 
 
 0206 
 
 0262 
 
 0318 
 
 0375 
 
 0431 
 
 0487 
 
 
 
 7710 
 
 8870544 
 
 0600 
 
 0656 
 
 0713 
 
 0769 
 
 0825 
 
 0882 
 
 0938 
 
 0994 
 
 1051 
 
 
 
 11 
 
 1107 
 
 1163 
 
 1220 
 
 1276 
 
 1332 
 
 1389 
 
 1445 
 
 1501 
 
 1558 
 
 1614 
 
 
 
 12 
 
 1670 
 
 1727 
 
 1783 
 
 1839 
 
 1895 
 
 1952 
 
 2008 
 
 2064 
 
 2121 
 
 2177 
 
 
 
 13 
 
 2233 
 
 2290 
 
 2346 
 
 2402 
 
 2459 
 
 2515 
 
 2571 
 
 2627 
 
 2684 
 
 2740 
 
 
 
 14 
 
 2796 
 
 2853 
 
 2909 
 
 2965 
 
 3022 
 
 3078 
 
 3134 
 
 3190 
 
 3247 
 
 3303 
 
 
 
 15 
 
 3359 
 
 3416 
 
 3472 
 
 3528 
 
 3584 
 
 3641 
 
 3697 
 
 3753 
 
 3810 
 
 3866 
 
 
 
 16 
 
 3922 
 
 3978 
 
 4035 
 
 4091 
 
 4147 
 
 4204 
 
 4260 
 
 4316 
 
 4372 
 
 4429 
 
 
 
 17 
 
 4485 
 
 4541 
 
 4598 
 
 4654 
 
 4710 
 
 4766 
 
 4823 
 
 4879 
 
 4935 
 
 4991 
 
 
 
 IS 
 
 5048 
 
 5104 
 
 5160 
 
 5217 
 
 5273 
 
 5329 
 
 5385 
 
 5442 
 
 5498 
 
 5554 
 
 
 
 19 
 
 5610 
 
 5667 
 
 5723 
 
 5779 
 
 5835 
 
 5892 
 
 5948 
 
 6004 
 
 6060 
 
 6117 
 
 
 
 7720 
 
 6173 
 
 6229 
 
 6286 
 
 6342 
 
 6398 
 
 6454 
 
 6511 
 
 6567 
 
 6623 
 
 6679 
 
 
 
 21 
 
 6736 
 
 6792 
 
 6848 
 
 6904 
 
 6961 
 
 7017 
 
 7073 
 
 7129 
 
 7185 
 
 7242 
 
 
 
 22 
 
 7298 
 
 7354 
 
 7410 
 
 7467 
 
 7523 
 
 7579 
 
 7635 
 
 7692 
 
 7748 
 
 7804 
 
 
 
 23 
 
 7860 
 
 7917 
 
 7973 
 
 8029 
 
 8085 
 
 8142 
 
 8198 
 
 8254 
 
 8310 
 
 8366 
 
 
 
 24 
 
 8423 
 
 84.79 
 
 8535 
 
 8591 
 
 8648 
 
 8704 
 9266^^ 
 
 8760 
 
 8816 
 
 8872 
 
 8929 
 
 
 
 25 
 
 8985 
 
 9041 
 
 9097 
 
 9154 
 
 9210 
 
 9322 
 
 9378 
 
 9435 
 
 9491 
 
 
 
 26 
 
 9547 
 
 9603 
 
 9659 
 
 9716 
 
 9772 
 
 9828 
 
 9884 
 
 9941 
 
 9997 
 
 0053 
 
 
 
 27 
 
 8880109 
 
 0165 
 
 0222 
 
 0278 
 
 0334 
 
 0390 
 
 0446 
 
 0503 
 
 0559 
 
 0615 
 
 
 
 28 
 
 0671 
 
 0727 
 
 0784 
 
 0840 
 
 0896 
 
 0952 
 
 1008 
 
 1064 
 
 1121 
 
 1177 
 
 
 
 29 
 
 1233 
 
 1289 
 
 1345 
 
 1402 
 
 1458 
 
 1514 
 
 1570 
 
 1626 
 
 1683 
 
 1739 
 
 
 
 7730 
 
 1795 
 
 1851 
 
 1907 
 
 1963 
 
 2020 
 
 2076 
 
 2132 
 
 2188 
 
 2244 
 
 2301 
 
 
 
 31 
 
 2357 
 
 2413 
 
 2469 
 
 2525 
 
 2581 
 
 2638 
 
 2694 
 
 2750 
 
 2806 
 
 2862 
 
 
 
 32 
 
 2918 
 
 2975 
 
 3031 
 
 3087 
 
 3143 
 
 3199 
 
 3255 
 
 3312 
 
 3368 
 
 3424 
 
 
 
 33 
 
 3480 
 
 3536 
 
 3592 
 
 3649 
 
 3705 
 
 3761 
 
 3817 
 
 3873 
 
 3929 
 
 3986 
 
 
 
 34 
 
 4042 
 
 4098 
 
 4154 
 
 4210 
 
 4266 
 
 4322 
 
 4379 
 
 4435 
 
 4491 
 
 4547 
 
 
 
 35 
 
 4603 
 
 4659 
 
 4715 
 
 4772 
 
 4828 
 
 4884 
 
 4940 
 
 4996 
 
 5052 
 
 5108 
 
 / 
 
 
 36 
 
 5165 
 
 5221 
 
 5277 
 
 5333 
 
 5389 
 
 5445 
 
 5501 
 
 5558 
 
 5614 
 
 5670 
 
 
 
 37 
 
 5726 
 
 5782 
 
 5838 
 
 5894 
 
 5950 
 
 6007 
 
 6063 
 
 6119 
 
 6175 
 
 6231 
 
 
 
 38 
 
 6287 
 
 6343 
 
 6400 
 
 6456 
 
 6512 
 
 6568 
 
 6624 
 
 6680 
 
 6736 
 
 6792 
 
 
 
 39 
 
 6848 
 
 6905 
 
 6961 
 
 7017 
 
 7073 
 
 7129 
 
 7185 
 
 7241 
 
 7297 
 
 7353 
 
 
 
 7740 
 
 7410 
 
 7466 
 
 7522 
 
 7578 
 
 7634 
 
 7690 
 
 7746 
 
 7802 
 
 7858 
 
 7915 
 
 
 
 41 
 
 7971 
 
 8027 
 
 8083 
 
 8139 
 
 8195 
 
 8251 
 
 8307 
 
 8363 
 
 8419 
 
 8476 
 
 
 
 42 
 
 8532 
 
 858^, 
 
 8644 
 
 8700 
 
 8756 
 
 8812 
 
 8868 
 
 8924 
 
 8980 
 
 9037 
 
 
 56 
 
 43 
 
 9093 
 
 9149 
 
 9205 
 
 9261 
 
 9317 
 
 9373 
 
 9429 
 
 9485 
 
 9541 
 
 9597 
 
 
 1 6 
 
 44 
 
 9653 
 
 9710 
 
 9766 
 
 9822 
 
 9878 
 
 9934 
 
 9990 
 
 0046 
 
 0102 
 
 0158 
 
 
 2 11 
 
 3 17 
 
 45 
 
 8890214 
 
 0270 
 
 0326 
 
 0382 
 
 0439 
 
 0495 
 
 0551 
 
 0607 
 
 0663 
 
 0719 
 
 
 4 22 
 
 46 
 
 0775 
 
 0831 
 
 0887 
 
 0943 
 
 0999 
 
 1055 
 
 nil 
 
 1167 
 
 1223 
 
 1279 
 
 
 5 28 
 
 47 
 
 1336 
 
 1392 
 
 1448 
 
 1504 
 
 1560 
 
 1616 
 
 1672 
 
 1728 
 
 1784 
 
 1840 
 
 
 6 34 
 
 7 39 
 
 8 45 
 
 48 
 
 1896 
 
 1952 
 
 2008 
 
 2064 
 
 2120 
 
 2176 
 
 2232 
 
 2288 
 
 2345 
 
 2401 
 
 
 49 
 
 N. 
 
 2457 
 
 2513 
 1 
 
 2569 
 2 
 
 2625 
 
 3 
 
 2681 
 
 4 
 
 2737 
 
 5 
 
 2793 
 
 6 
 
 2849 
 
 7 
 
 2905 
 8 
 
 2961 
 
 D ' 
 
 9 50 
 
 Pts. 
 
 
 
N.77'5 L. 889 OF NUMBERS. (14]) 
 
 N. 
 
 7750 
 
 
 
 1 
 
 3073 
 
 2 
 3129 
 
 3 
 
 3185 
 
 4 
 
 3241 
 
 5 
 
 3297 
 
 6 
 
 3353 
 
 7 
 
 340y 
 
 8 
 
 3465 
 
 9 
 3521 
 
 D 
 
 Pro. 
 
 8893017 
 
 51 
 
 3577 
 
 3633 
 
 3689 
 
 3745 
 
 3801 
 
 3858 
 
 3914 
 
 397C 
 
 4026 
 
 4082 
 
 
 56 
 
 52 
 
 4138 
 
 4194 
 
 4250 
 
 4306 
 
 4362 
 
 4418 
 
 4474 
 
 453C 
 
 4586 
 
 4642 
 
 
 1 6 
 
 53 
 
 4698 
 
 4754 
 
 4810 
 
 4866 
 
 4922 
 
 4978 
 
 5034 
 
 5090 
 
 5146 
 
 5202 
 
 
 2 11 
 
 .54 
 
 5258 
 
 j314 
 
 5370 
 
 5426 
 
 5482 
 
 5538 
 
 5594 
 
 5650 
 
 5706 
 
 5762 
 
 56 
 
 3 17 
 
 4 22 
 
 55 
 
 5818 
 
 5874 
 
 5930 
 
 5986 
 
 6042 
 
 6098 
 
 6154 
 
 6210 
 
 6266 
 
 6322 
 
 5 28 
 
 56 
 
 6378 
 
 6434 
 
 6490 
 
 6546 
 
 6602 
 
 6658 
 
 6714 
 
 6770 
 
 6826 
 
 6882 
 
 
 6" 34 
 
 7 39 
 
 8 45 
 
 51 
 
 6938 
 
 6994 
 
 7050 
 
 7106 
 
 7162 
 
 7218 
 
 7274 
 
 7330 
 
 7386 
 
 7442 
 
 
 58 
 
 7498 
 
 7554 
 
 7610 
 
 7666 
 
 7722 
 
 7778 
 
 7834 
 
 7890 
 
 7946 
 
 8002 
 
 
 9 50 
 
 59 
 
 8058 
 
 8113 
 
 8169 
 
 8225 
 
 8281 
 
 8337 
 
 8393 
 
 8449 
 
 8505 
 
 8561 
 
 
 
 7760 
 
 8617 
 
 8673 
 
 8729 
 
 8785 
 
 8841 
 
 8897 
 
 8953 
 
 9009 
 
 9065 
 
 9121 
 
 
 
 61 
 
 9177 
 
 9233 
 
 9289 
 
 9345 
 
 9401 
 
 9457 
 
 9513 
 
 9569 
 
 9624 
 
 9680 
 
 
 
 62 
 
 9736 
 
 9792 
 
 9848 
 
 9904 
 
 9960 
 
 0016 
 
 0072 
 
 0128 
 
 0184 
 
 0240 
 
 
 
 63 
 
 8900296 
 
 0352 
 
 0408 
 
 0464 
 
 0520 
 
 0576 
 
 0632 
 
 0687 
 
 0743 
 
 0799 
 
 
 
 64 
 
 0855 
 
 0911 
 
 0967 
 
 1023 
 
 1079 
 
 1135 
 
 1191 
 
 1247 
 
 1303 
 
 1359 
 
 
 
 65 
 
 1415 
 
 1471 
 
 1526 
 
 1582 
 
 1638 
 
 1694 
 
 1750 
 
 1806 
 
 1862 
 
 1918 
 
 
 
 66 
 
 1974 
 
 20S0 
 
 2086 
 
 2142 
 
 2198 
 
 2253 
 
 2309 
 
 2365 
 
 2421 
 
 2477 
 
 
 
 67 
 
 2533 
 
 2589 
 
 2645 
 
 2701 
 
 2757 
 
 2813 
 
 2869 
 
 2924 
 
 2980 
 
 3036 
 
 
 
 68 
 
 3092 
 
 3 1 48 
 
 3204 
 
 3260 
 
 3316 
 
 3372 
 
 3428 
 
 3484 
 
 3539 
 
 3595 
 
 
 
 69 
 
 3651 
 
 3707 
 
 3763 
 
 3819 
 
 3875 
 
 3931 
 
 3987 
 
 4043 
 
 4098 
 
 4154 
 
 
 
 7770 
 
 4210 
 
 4266 
 
 4322 
 
 4378 
 
 4434 
 
 4490 
 
 4546 
 
 4601 
 
 4657 
 
 4713 
 
 
 
 71 
 
 4769 
 
 4825 
 
 4881 
 
 4937 
 
 4993 
 
 5049 
 
 5104 
 
 5160 
 
 5216 
 
 5272 
 
 
 
 72 
 
 5328 
 
 5384 
 
 5440 
 
 5496 
 
 5551 
 
 5607 
 
 5663 
 
 5719 
 
 5775 
 
 5831 
 
 
 
 73 
 
 5887 
 
 5943 
 
 5998 
 
 6054 
 
 6110 
 
 6166 
 
 6222 
 
 6278 
 
 6334 
 
 6389 
 
 
 
 74 
 
 6445 
 
 6501 
 
 6557 
 
 6613 
 
 6669 
 '^227 
 
 6725 
 
 6781 
 
 6836 
 
 6892 
 
 6948 
 
 
 
 75 
 
 7004 
 
 7060 
 
 7116 
 
 7172 
 
 7283 
 
 7339 
 
 7395 
 
 7451 
 
 7507 
 
 
 
 76 
 
 7563 
 
 7618 
 
 7674 
 
 7730 
 
 7786 
 
 7842 
 
 7898 
 
 7953 
 
 8009 
 
 8065 
 
 
 
 77 
 
 8121 
 
 8177 
 
 8233 
 
 8289 
 
 8344 
 
 8400 
 
 8456 
 
 8512 
 
 8568 
 
 8624 
 
 
 
 78 
 
 8679 
 
 8735 
 
 8791 
 
 8847 
 
 8903 
 
 8959 
 
 9014 
 
 9070 
 
 9126 
 
 9182 
 
 
 
 79 
 
 9238 
 
 9294 
 
 9349 
 
 9405 
 
 9461 
 
 9517 
 
 9573 
 
 9629 
 
 9684 
 
 9740 
 
 
 
 7780 
 
 9796 
 
 9852 
 
 9908 
 
 9963 
 
 0019 
 
 0075 
 
 0131 
 
 0187 
 
 0243 
 
 0298 
 
 
 
 81 
 
 8910354 
 
 0410 
 
 0466 
 
 0522 
 
 0577 
 
 0633 
 
 0689 
 
 0745 
 
 0801 
 
 0856 
 
 
 
 82 
 
 0912 
 
 0968 
 
 1024 
 
 1080 
 
 1135 
 
 1191 
 
 1247 
 
 1303 
 
 1359 
 
 1415 
 
 
 
 83 
 
 1470 
 
 1526 
 
 158^ 
 
 1638 
 
 1694 
 
 1749 
 
 1805 
 
 1861 
 
 1917 
 
 1972 
 
 
 
 84 
 
 2028 
 
 2084 
 
 2140 
 
 2196 
 
 2251 
 
 2307 
 
 2363 
 
 2419 
 
 2475 
 
 2530 
 
 
 
 85 
 
 2586 
 
 2642 
 
 2698 
 
 2754 
 
 2809 
 
 2865 
 
 2921 
 
 2977 
 
 3032 
 
 3088 
 
 
 
 86 
 
 3144 
 
 3200 
 
 3256 
 
 3311 
 
 3367 
 
 3423 
 
 3479 
 
 3534 
 
 3590 
 
 3646 
 
 
 
 87 
 
 3702 
 
 3758 
 
 3813 
 
 3869 
 
 3925 
 
 3981 
 
 4036 
 
 4092 
 
 4148 
 
 4204 
 
 
 
 88 
 
 4259 
 
 4315 
 
 4371 
 
 4427 
 
 4482 
 
 4538 
 
 4594 
 
 4650 
 
 4706 
 
 4761 
 
 
 
 89 
 
 4817 
 
 4873 
 
 4929 
 
 4984 
 
 5040 
 
 5096 
 
 5152 
 
 5207 
 
 5263 
 
 5319 
 
 
 
 7790 
 
 5375 
 
 5430 
 
 5486 
 
 5542 
 
 5598 
 
 5653 
 
 5709 
 
 5765 
 
 5821 
 
 5876 
 
 
 
 91 
 
 5932 
 
 5988 
 
 6044 
 
 6099 
 
 6155 
 
 6211 
 
 6266 
 
 6322 
 
 6378 
 
 6434 
 
 
 
 92 
 
 6489 
 
 6545 
 
 6601 
 
 6657 
 
 6712 
 
 6768 
 
 6824 
 
 6880 
 
 6935 
 
 6991 
 
 
 55 
 
 93 
 
 7047 
 
 7102 
 
 7158 
 
 7214 
 
 7270 
 
 7325 
 
 7381 
 
 7437 
 
 7493 
 
 7548 
 
 
 I 6 
 
 94 
 
 7604 
 
 7660 
 
 7715 
 
 7771 
 
 7827 
 
 7883 
 
 7938 
 
 7994 
 
 8050 
 
 8105 
 
 
 211 
 
 3 17 
 
 4 22 
 
 95 
 
 8161 
 
 8217 
 
 8273 
 
 8328 
 
 8384 
 
 8440 
 
 8495 
 
 8551 
 
 8607 
 
 8663 
 
 
 96 
 
 8718 
 
 8774 
 
 8830 
 
 8885 
 
 8941 
 
 8997 
 
 9053 
 
 9108 
 
 9164 
 
 9220 
 
 
 5 28 
 
 97 
 
 9275 
 
 9331 
 
 938^' 
 9944 
 
 §442 
 
 9498 
 
 9554 
 
 9610 
 
 9665 
 
 9721 
 
 9777 
 
 
 6 33 
 
 7 39 
 
 8 44 
 
 98 
 
 9832 
 
 9888 
 
 9999 
 
 0055 
 
 0111 
 
 0166 
 
 0222 
 
 0278 
 
 0334 
 
 
 99 
 
 NT" 
 
 B920389 
 
 0445 
 i 
 
 0501 
 
 2 
 
 0556 
 
 ~3~ 
 
 0612 
 
 4 
 
 0668 
 
 5 
 
 0723 
 
 6 
 
 0779 
 
 7 
 
 0835 
 8 
 
 0890 
 
 9 
 
 D 
 
 9 50 
 
 Pts. 
 
 
 
[(142) LOGARITHMS N.780 L. S^^} 
 
 N. 
 
 7800 
 
 
 
 1 
 
 1002 
 
 2 
 
 3 
 
 4 
 
 1169 
 
 i ' 
 
 6' 
 
 1280 
 
 7 
 
 1336 
 
 8 
 
 1391 
 
 9 
 
 1447 
 
 D 
 
 Pro. 
 
 8920946 
 
 1057 
 
 1113 
 
 1224 
 
 01 
 
 J 503 
 
 1558 
 
 1614 
 
 1670 
 
 1725 
 
 1781 
 
 1837 
 
 1892 
 
 1948 
 
 2004 
 
 
 56 
 
 02 
 
 2059 
 
 2115 
 
 2171 
 
 2226 
 
 2282 
 
 2338 
 
 2393 
 
 2449 
 
 2505 
 
 2560 
 
 
 1 6 
 
 03 
 
 2616 
 
 2672 
 
 2727 
 
 2783 
 
 2839^ 
 
 ^2894 
 
 2950 
 
 3006 
 
 3061 
 
 3117 
 
 
 211 
 
 Ol- 
 
 3173 
 
 3228 
 
 3284 
 
 3340 
 
 3395 
 
 3451 
 
 3506 
 
 3562 
 
 3618 
 
 3673 
 
 
 3 17 
 
 4 22 
 
 05 
 
 3729 
 
 3785 
 
 3840 
 
 3896 
 
 3952 
 
 4007 
 
 4063 
 
 4119 
 
 4174 
 
 4230 
 
 
 6 28 
 
 06 
 
 4285 
 
 4341 
 
 4397 
 
 4452 
 
 450S 
 
 4564 
 
 4619 
 
 4675 
 
 4731 
 
 4786 
 
 
 6 34 
 
 7 39 
 ft 4H 
 
 07 
 
 4842 
 
 4897 
 
 4953 
 
 5009 
 
 5064 
 
 5120 
 
 5176 
 
 5231 
 
 5287 
 
 5342 
 
 
 OS 
 
 5398 
 
 5454 
 
 5509 
 
 5565 
 
 5621 
 
 5676 
 
 5732 
 
 5787 
 
 5843 
 
 5899 
 
 
 o to 
 9 50 
 
 09 
 
 5954 
 
 6010 
 
 6065 
 
 6121 
 
 6177 
 
 6232 
 
 6288 
 
 6344 
 
 6399 
 
 6455 
 
 
 
 7810 
 
 6510 
 
 6506 
 
 6622 
 
 6677 
 
 6733 
 
 6788 
 
 6844 
 
 6900 
 
 6955 
 
 7011 
 
 
 
 11 
 
 7066 
 
 7122 
 
 7178 
 
 7233 
 
 7289 
 
 7344 
 
 7400 
 
 7456 
 
 7511 
 
 7567 
 
 
 
 12 
 
 7622 
 
 7678 
 
 7734 
 
 7789 
 
 7845 
 
 7900 
 
 7956 
 
 8011 
 
 8067 
 
 8123 
 
 
 
 13 
 
 8178 
 
 8234 
 
 8289 
 
 8345 
 
 8401 
 
 8456 
 
 8512 
 
 8567 
 
 8623 
 
 8678 
 
 
 
 14 
 
 8734 
 
 8790 
 
 8845 
 
 8901 
 
 8956 
 
 9012 
 
 9068 
 
 9123 
 
 9179 
 
 9234 
 
 
 
 15 
 
 Q290 
 
 9345 
 
 9401 
 
 9457 
 
 9512 
 
 9568 
 
 9623 
 
 9679 
 
 9734 
 
 9790 
 
 
 
 16 
 
 9846 
 
 9901 
 
 9957 
 
 0012 
 
 0068 
 
 0123 
 
 0179 
 
 0234 
 
 0290 
 
 0346 
 
 
 
 17 
 
 8930401 
 
 0457 
 
 0512 
 
 0568 
 
 0623 
 
 0679 
 
 0734 
 
 0790 
 
 0846 
 
 0901 
 
 
 
 18 
 
 0957 
 
 1012 
 
 1068 
 
 1123 
 
 1179 
 
 1234 
 
 1290 
 
 1345 
 
 1401 
 
 1457 
 
 
 
 19 
 
 1512 
 
 1568 
 
 1623 
 
 1679 
 
 1734 
 
 1790 
 
 1845 
 
 1901 
 
 1956 
 
 2012 
 
 
 
 7820 
 
 2068 
 
 2123 
 
 2179 
 
 2234 
 
 2290 
 
 2345 
 
 2401 
 
 2456 
 
 2512 
 
 2567 
 
 
 
 21 
 
 2623 
 
 2678 
 
 2734 
 
 2789 
 
 2845 
 
 2900 
 
 2956 
 
 3012 
 
 3067 
 
 3123 
 
 
 
 22 
 
 3178 
 
 3234 
 
 3289 
 
 3345 
 
 3400 
 
 3456 
 
 3511 
 
 3567 
 
 3622 
 
 3678 
 
 
 
 23 
 
 5733 
 
 3789 
 
 3844 
 
 3900 
 
 3955 
 
 4011 
 
 4066 
 
 4122 
 
 4177 
 
 4233 
 
 
 
 24 
 
 4288 
 
 4344 
 
 4399 
 
 4455 
 
 4510 
 
 4566 
 
 4621 
 
 4677 
 
 4732 
 
 4788 
 
 
 
 25 
 
 4843 
 
 4899 
 
 4954 
 
 5010 
 
 5065 
 
 512/ 
 
 5176 
 
 5232 
 
 5287 
 
 5343 
 
 
 
 26 
 
 5398 
 
 5454 
 
 5509 
 
 5565 
 
 5620 
 
 5676 
 
 5731 
 
 5787 
 
 5842 
 
 5898 
 
 
 
 27 
 
 5953 
 
 6009 
 
 6064 
 
 6120 
 
 6175 
 
 6231 
 
 6286 
 
 6342 
 
 6397 
 
 6453 
 
 
 
 28 
 
 6508 
 
 6564 
 
 6619 
 
 6675 
 
 6730 
 
 6786 
 
 6841 
 
 6897 
 
 6952 
 
 7007 
 
 
 
 29 
 
 7063 
 
 7118 
 
 7174 
 
 7229 
 
 7285 
 
 7340 
 
 7396 
 
 7451 
 
 7507 
 
 7562 
 
 
 
 7830 
 
 7618 
 
 7673 
 
 7729 
 
 7784 
 
 7839 
 
 7895 
 
 7950 
 
 8006 
 
 8061 
 
 8117 
 
 
 
 31 
 
 8172 
 
 8228 
 
 8283 
 
 8339 
 
 8394 
 
 8450 
 
 8505 
 
 8560 
 
 8616 
 
 8671 
 
 
 
 32 
 
 8727 
 
 8782 
 
 8838 
 
 8893 
 
 8949 
 
 9004 
 
 9059 
 
 9115 
 
 9170 
 
 9226 
 
 
 
 33 
 
 9281 
 
 9337 
 
 9392 
 
 9448 
 
 9503 
 
 9558 
 
 9614 
 
 9669 
 
 9725 
 
 .9780 
 
 
 
 34 
 
 9836 
 
 9891 
 
 9947 
 
 0002 
 
 0057 
 
 0113 
 
 0168 
 
 0224 
 
 0279 
 
 0335 
 
 
 
 35 
 
 8940390 
 
 0445 
 
 0501 
 
 0556 
 
 0612 
 
 0667 
 
 0723 
 
 0778 
 
 0833 
 
 0889 
 
 
 
 3d 
 
 0944 
 
 1000 
 
 1055 
 
 nil 
 
 1166 
 
 1221 
 
 1277 
 
 1332 
 
 1388 
 
 1443 
 
 
 
 37 
 
 1498 
 
 1554 
 
 1609 
 
 1665 
 
 1720 
 
 1776 
 
 1831 
 
 1886 
 
 1942 
 
 1997 
 
 
 
 38 
 
 2053 
 
 2108 
 
 2163 
 
 2219 
 
 2274 
 
 2330 
 
 2385 
 
 2440 
 
 2496 
 
 2551 
 
 
 
 39 
 
 2607 
 
 2662 
 
 2717 
 
 2773 
 
 2828 
 
 2884 
 
 2939 
 
 2994 
 
 3050 
 
 3105 
 
 
 
 7840 
 
 3161 
 
 3216 
 
 3271 
 
 3327 
 
 3382 
 
 3438 
 
 3493 
 
 3548 
 
 3604 
 
 3659 
 
 
 
 41 
 
 3715 
 
 3770 
 
 3825 
 
 3881 
 
 3936 
 
 3991 
 
 4047 
 
 4102 
 
 4158 
 
 4213 
 
 
 
 42 
 
 4268 
 
 4324 
 
 4379 
 
 4435 
 
 4490 
 
 4545 
 
 4601 
 
 4656 
 
 4711 
 
 4767 
 
 
 55 
 
 43 
 
 4822 
 
 4878 
 
 4933 
 
 4988 
 
 5044 
 
 5099 
 
 5154 
 
 5210 
 
 5265 
 
 5320 
 
 
 1 6 
 
 44 
 
 5376 
 
 5431 
 
 5487 
 
 5542 
 
 5597 
 
 5653 
 
 5708 
 
 5763 
 
 5819 
 
 5874 
 
 
 2 11 
 
 3 17 
 
 45 
 
 5929 
 
 5985 
 
 6040 
 
 6096 
 
 6151 
 
 6206 
 
 6262 
 
 6317 
 
 6372 
 
 5428 
 
 
 4 22 
 
 46 
 
 6483 
 
 6538 
 
 6594 
 
 6649 
 
 6704 
 
 6760 
 
 6815 
 
 6870 
 
 6926 
 
 6981 
 
 
 5 28 
 
 47 
 
 7037 
 
 7092 
 
 7147 
 
 7203 
 
 7258 
 
 7313 
 
 7369 
 
 7424 
 
 7479 
 
 7535 
 
 
 G33 
 
 7 39 
 
 8 44 
 
 48 
 
 7590 
 
 7645 
 
 7701 
 
 7756 
 
 7811 
 
 7867 
 
 7922 
 
 7977 
 
 8033 
 
 8088 
 
 
 49 
 
 N. 
 
 8148 
 
 8199 
 1 
 
 8254 
 
 2 
 
 8309 
 
 3 
 
 8365 
 
 8420 
 
 5 
 
 8475 
 
 6 
 
 8531 
 
 7 
 
 8586 
 
 8641 
 
 9 
 
 D 
 
 ,9 50 
 Pts. 
 
 
 
 4 
 
 8 
 
N.785L.894 OF NUMBERS. (143)1 
 
 N. 
 
 
 
 1 
 
 o 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pro. 
 
 7850 
 
 8948697 
 
 8752 
 
 8807 
 
 8863 
 
 8918 
 
 8973 
 
 9028 
 
 9084 
 
 9139' 
 
 9194 
 
 
 
 51 
 
 9250 
 
 9305 
 
 9360 
 
 9416 
 
 9471 
 
 9526 
 
 9582 
 
 9637 
 
 9692 
 
 9748 
 
 
 56 
 
 52 
 
 9803 
 
 9858 
 
 9914 
 
 9969 
 
 0024 
 
 0079 
 
 0135 
 
 0190 
 
 0245 
 
 0301 
 
 
 1 6 
 
 53 
 
 8950356 
 
 0411 
 
 0467 
 
 0522 
 
 0577 
 
 0632 
 
 0688 
 
 0743 
 
 0798 
 
 0854 
 
 
 1 11 
 
 3 17 
 
 4 22 
 
 54. 
 
 0909 
 
 0964 
 
 1020 
 
 1075 
 
 1130 
 
 1185 
 
 1241 
 
 1296 
 
 1351 
 
 1407 
 
 
 55 
 
 1462 
 
 1517 
 
 1572 
 
 1628 
 
 1683 
 
 1738 
 
 1794 
 
 1849 
 
 1904 
 
 1959 
 
 
 5 28 
 
 56 
 
 2015 
 
 2070 
 
 2125 
 
 2181 
 
 2236 
 
 2291 
 
 2346 
 
 2402 
 
 2457 
 
 2512 
 
 
 6 34 
 
 7 39 
 
 8 45 
 
 57 
 
 2568 
 
 2623 
 
 2678 
 
 2733 
 
 2789 
 
 2844 
 
 2899 
 
 2954 
 
 3010 
 
 3065 
 
 
 58 
 
 3120 
 
 3176 
 
 3231 
 
 3286 
 
 3341 
 
 3397 
 
 3452 
 
 3507 
 
 3562 
 
 3618 
 
 
 9 50 
 
 59 
 
 3673 
 
 3728 
 
 3783 
 
 3839 
 
 3894 
 
 3949 
 
 4004 
 
 4060 
 
 4115 
 
 4170 
 
 
 
 7860 
 
 4225 
 
 4281 
 
 4336 
 
 4391 
 
 4446 
 
 4502 
 
 4557 
 
 4612 
 
 4667 
 
 4723 
 
 
 
 61 
 
 4778 
 
 4833 
 
 4888 
 
 4944 
 
 4999 
 
 5054 
 
 5109 
 
 5165 
 
 5220 
 
 5275 
 
 
 
 62 
 
 5330 
 
 5386 
 
 5441 
 
 5496 
 
 5551 
 
 5607 
 
 5662 
 
 5717 
 
 5772 
 
 5828 
 
 
 
 63 
 
 5883 
 
 5938 
 
 5993 
 
 6048 
 
 6104 
 
 6159 
 
 6214 
 
 6269 
 
 6325 
 
 6380 
 
 
 
 64 
 
 6435 
 
 6490 
 
 6545 
 
 6601 
 
 6656 
 
 6711 
 
 6766 
 
 6822 
 
 6877 
 
 6932 
 
 
 
 65 
 
 6987 
 
 7042 
 
 7098 
 
 7153 
 
 7208 
 
 7263 
 
 7319 
 
 7374 
 
 7429 
 
 7484 
 
 
 
 66 
 
 7539 
 
 7595 
 
 7650 
 
 7705 
 
 7760 
 
 7815 
 
 7871 
 
 7926 
 
 7981 
 
 8036 
 
 
 
 67 
 
 8092 
 
 8147 
 
 8202 
 
 8257 
 
 8312 
 
 8368 
 
 8423 
 
 8478 
 
 8533 
 
 8588 
 
 
 
 68 
 
 8644 
 
 8699 
 
 8754 
 
 8809 
 
 8864 
 
 8919 
 
 8975 
 
 9030 
 
 9085 
 
 9140 
 
 
 
 69 
 
 9195 
 
 9251 
 
 9306 
 
 9361 
 
 9416 
 
 9471 
 
 9527 
 
 9582 
 
 9637 
 
 9692 
 
 
 
 7870 
 
 9747 
 
 9803 
 
 9858 
 
 9913 
 
 9968 
 
 0023 
 
 0078 
 
 0134 
 
 0189 
 
 0244 
 
 
 
 71 
 
 8960299 
 
 0354 
 
 0409 
 
 0465 
 
 0520 
 
 0575 
 
 0630 
 
 0685 
 
 0741 
 
 0796 
 
 
 
 72 
 
 0851 
 
 0906 
 
 0961 
 
 1016 
 
 1072 
 
 1127 
 
 1182 
 
 1237 
 
 1292 
 
 1347 
 
 
 
 73 
 
 1403 
 
 1458 
 
 1513 
 
 1568 
 
 1623 
 
 1678 
 
 1733 
 
 1789 
 
 1844 
 
 1899 
 
 
 
 74 
 
 1954 
 
 2009 
 
 2064 
 
 2120 
 
 2175 
 
 2230 
 
 2285 
 
 2340 
 
 2395 
 
 2450 
 
 
 
 75 
 
 2506 
 
 2561 
 
 2616 
 
 2671 
 
 2726 
 
 2781 
 
 2837 
 
 2892 
 
 2947 
 
 3002 
 
 
 
 76 
 
 3057 
 
 3112 
 
 3167 
 
 3222 
 
 3278 
 
 3333 
 
 3388 
 
 3443 
 
 3498 
 
 3553 
 
 
 
 77 
 
 3608 
 
 3664 
 
 3719 
 
 3774 
 
 3829 
 
 3884 
 
 3939 
 
 3994 
 
 4050 
 
 4105 
 
 
 
 78 
 
 4160 
 
 4215 
 
 4270 
 
 4325 
 
 4380 
 
 4435 
 
 4491 
 
 4546 
 
 4601 
 
 4656 
 
 
 
 79 
 
 4711 
 
 4766 
 
 4821 
 
 4876 
 
 4931 
 
 4987 
 
 5042 
 
 5097 
 
 5152 
 
 5207 
 
 
 
 7880 
 
 5262 
 
 5317 
 
 5372 
 
 5428 
 
 5483 
 
 5538 
 
 5593 
 
 5648 
 
 5703 
 
 5758 
 
 
 
 81 
 
 5813 
 
 5868 
 
 5923 
 
 5979 
 
 6034 
 
 6089 
 
 6144 
 
 6199 
 
 6254 
 
 6309 
 
 
 
 82 
 
 6364 
 
 6419 
 
 6475 
 
 6530 
 
 6585 
 
 6640 
 
 6695 
 
 6750 
 
 6805 
 
 6860 
 
 
 
 83 
 
 6915 
 
 6970 
 
 7025 
 
 7081 
 
 7136 
 
 7191 
 
 7246 
 
 7301 
 
 7356 
 
 7411 
 
 
 
 84 
 
 7466 
 
 7521 
 
 7576 
 
 7631 
 
 7686 
 
 7742 
 
 7797 
 
 7852 
 
 7907 
 
 7962 
 
 
 
 85 
 
 8017 
 
 8072 
 
 8127 
 
 8182 
 
 8237 
 
 8292 
 
 8347 
 
 8403 
 
 8458 
 
 8513 
 
 
 
 86 
 
 8568 
 
 8623 
 
 8678 
 
 8733 
 
 8788 
 
 8843 
 
 8898 
 
 8953 
 
 9008 
 
 9063 
 
 
 
 87 
 
 9118 
 
 9173 
 
 9229 
 
 9284 
 
 9339 
 
 9394 
 
 9449 
 
 9504 
 
 9559 
 
 9614 
 
 
 
 88 
 
 9669 
 
 9724 
 
 9779 
 
 9834 
 
 9889 
 
 9944 
 
 9999 
 
 0054 
 
 0109 
 
 ■0165 
 
 
 
 89 
 
 8970220 
 
 0275 
 
 0330 
 
 0385 
 
 0440 
 
 0495 
 
 0550 
 
 0605 
 
 0660 
 
 0715 
 
 
 
 7890 
 
 0770 
 
 0825 
 
 0880 
 
 0935 
 
 0990 
 
 1045 
 
 1100 
 
 1155 
 
 1210 
 
 1265 
 
 
 
 91 
 
 1320 
 
 1375 
 
 1431 
 
 1486 
 
 1541 
 
 1596 
 
 1651 
 
 1706 
 
 1761 
 
 .1816 
 
 
 
 92 
 
 1871 
 
 1926 
 
 1981 
 
 2036 
 
 2091 
 
 2146 
 
 2201 
 
 2256 
 
 2311 
 
 2366 
 
 
 55 
 
 93 
 
 2421 
 
 2476 
 
 2531 
 
 2586 
 
 2641 
 
 2696 
 
 2751 
 
 2806 
 
 2861 
 
 2916 
 
 
 1 6 
 
 94. 
 
 2971 
 
 3026 
 
 3081 
 
 3136 
 
 3191 
 
 3246 
 
 3301 
 
 2356 
 
 3411 
 
 3466 
 
 
 2 11 
 
 3 17 
 
 95 
 
 3521 
 
 3576 
 
 3631 
 
 3686 
 
 3741 
 
 3796 
 
 3851 
 
 3906 
 
 3961 
 
 4016 
 
 55 
 
 4 22 
 
 96 
 
 4071 
 
 4126 
 
 4181 
 
 4236 
 
 4291 
 
 4346 
 
 4401 
 
 4456 
 
 4511 
 
 4566 
 
 
 5 28 
 
 97 
 
 4621 
 
 4676 
 
 4731 
 
 4786 
 
 4841 
 
 4896 
 
 4951 
 
 5006 
 
 5061 
 
 5116 
 
 
 6 33 
 
 7 39 
 
 8 44 
 
 98 
 
 5171 
 
 5226 
 
 5281 
 
 5336 
 
 5391 
 
 5446 
 
 5501 
 
 5556 
 
 5611 
 
 5666 
 
 
 99 
 
 5721 5776 
 
 5831 5886 
 
 5941 
 
 5996 
 
 6051 
 
 6106 
 
 6161 
 
 62^16 
 
 
 9 50 
 
 N. 
 
 1 
 
 2 3 
 
 4- 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9_ 
 
 D ] 
 
 ^ts. 
 
(144) LOGARITHMS N.790L.897 
 
 N. 
 
 7900 
 
 
 
 1 
 6326 
 
 ^2 
 6381 
 
 3 4 
 
 6436 6491 
 
 5 
 
 6546 
 
 6 
 
 6601 
 
 7 
 
 6t)56 
 
 8 
 6711 
 
 9 
 
 6766 
 
 D 
 
 Pro. 
 
 897627 1 
 
 01 
 
 6821 
 
 6876 
 
 6931 
 
 6986 
 
 7040 
 
 7095 
 
 7150 
 
 7205 
 
 7260 
 
 7315 
 
 
 55 
 
 02 
 
 7370 
 
 7425 
 
 7480 
 
 7535 
 
 7590 
 
 7645 
 
 7700 
 
 7755 
 
 7810 
 
 7865 
 
 
 1 6 
 
 03 
 
 7920 
 
 7975 
 
 8030 
 
 8085 
 
 8140 
 
 8195 
 
 8250 
 
 8304 
 
 8359 
 
 8414 
 
 
 211 
 
 04 
 
 8469 
 
 8524 
 
 8579 
 
 8634 
 
 8689 
 
 8744 
 
 8799 
 
 8854 
 
 8909 
 
 8964 
 
 
 3 17 
 
 4 22 
 
 05 
 
 9019 
 
 9074 
 
 9129 
 
 9184 
 
 9238 
 
 9293 
 
 9348 
 
 9403 
 
 9458 
 
 9513 
 
 
 5 28 
 
 06 
 
 9568 
 
 9623 
 
 9678 
 
 9733 
 
 9788 
 
 9843 
 
 9898 
 
 9953 
 
 0008 
 
 0062 
 
 
 6 33 
 
 07 
 
 8980117 
 
 0172 
 
 0./27 
 
 0282 
 
 0337 
 
 0392 
 
 0447 
 
 0502 
 
 0557 
 
 0612 
 
 
 7 39 
 
 p A A 
 
 08 
 
 0667 
 
 0722 
 
 0776 
 
 0831 
 
 0886 
 
 0941 
 
 0996 
 
 1051 
 
 1106 
 
 1161 
 
 
 9 50 
 
 09 
 
 12^6 
 
 1271 
 
 1326 
 
 1380 
 
 1435 
 
 1490 
 
 1545 
 
 1600 
 
 1655 
 
 1710 
 
 
 
 7910 
 
 1765 
 
 1820 
 
 1875 
 
 1930 
 
 1984 
 
 2039 
 
 2094 
 
 2149 
 
 2204 
 
 2259 
 
 
 
 n 
 
 2314 
 
 2369 
 
 2424 
 
 2479 
 
 2533 
 
 2588 
 
 2643 
 
 2698 
 
 2753 
 
 2808 
 
 
 
 12 
 
 2863 
 
 2918 
 
 2973 
 
 3027 
 
 3082 
 
 3137 
 
 3192 
 
 3247 
 
 3302 
 
 3357 
 
 
 
 13 
 
 3412 
 
 3467 
 
 3521 
 
 3576 
 
 3631 
 
 3686 
 
 3741 
 
 3796 
 
 3851 
 
 3906 
 
 
 
 14 
 
 3960 
 
 4015 
 
 4070 
 
 4125 
 
 4180 
 
 4235 
 
 4290 
 
 4345 
 
 4399 
 
 4454 
 
 
 
 15 
 
 4509 
 
 4564 
 
 4619 
 
 4674 
 
 4729 
 
 4784 
 
 4838 
 
 4893 
 
 4948 
 
 5003 
 
 
 
 16 
 
 5058 
 
 5113 
 
 5168 
 
 5222 
 
 5277 
 
 5332 
 
 5387 
 
 5442 
 
 5497 
 
 5552 
 
 
 
 17 
 
 5606 
 
 5661 
 
 5716 
 
 5771 
 
 5826 
 
 5881 
 
 5936 
 
 5990 
 
 6045 
 
 6100 
 
 
 
 18 
 
 6155 
 
 6210 
 
 6265 
 
 6320 
 
 6374 
 
 6429 
 
 6484 
 
 6539 
 
 6594 
 
 6649 
 
 
 
 19 
 
 6703 
 
 6758 
 
 6813 
 
 6868 
 
 6923 
 
 6978 
 
 7032 
 
 7087 
 
 7142 
 
 7197 
 
 
 
 7920 
 
 7252 
 
 7307 
 
 7361 
 
 7416 
 
 7471 
 
 7526 
 
 7581 
 
 7636 
 
 7690 
 
 7745 
 
 
 
 21 
 
 7800 
 
 7855 
 
 7910 
 
 7965 
 
 8019 
 
 8074 
 
 8129 
 
 8184 
 
 8239 
 
 8294 
 
 
 
 22 
 
 8348 
 
 8403 
 
 8458 
 
 8513 
 
 8568 
 
 8622 
 
 8677 
 
 8732 
 
 8787 
 
 8842 
 
 
 
 23 
 
 8897 
 
 8951 
 
 9006 
 
 9061 
 
 9116 
 
 9171 
 
 9225 
 
 9280 
 
 9335 
 
 9390 
 
 
 
 24 
 
 9445 
 
 9499 
 
 9554 
 
 9609 
 
 9664 
 
 9719 
 
 9774 
 
 9828 
 
 9883 
 
 9938 
 
 
 
 25 
 
 9993 
 
 0048 
 
 0102 
 
 0157 
 
 0212 
 
 0267 
 
 0321 
 
 0376 
 
 0431 
 
 0486 
 
 
 
 26 
 
 8990541 
 
 0595 
 
 0650 
 
 0705 
 
 0760 
 
 0815 
 
 0869 
 
 0924 
 
 0979 
 
 1034 
 
 
 
 27 
 
 1089 
 
 1143 
 
 1198 
 
 1253 
 
 1308 
 
 1363 
 
 1417 
 
 1472 
 
 1527 
 
 1582 
 
 
 
 28 
 
 1636 
 
 1691 
 
 1746 
 
 1801 
 
 1856 
 
 1910 
 
 1965 
 
 2020 
 
 2075 
 
 2129 
 
 
 
 29 
 
 2184 
 
 2239 
 
 2294 
 
 2348 
 
 2403 
 
 2458 
 
 2513 
 
 2568 
 
 2622 
 
 2677 
 
 
 
 7930 
 
 2732 
 
 2787 
 
 2841 
 
 2896 
 
 2951 
 
 3006 
 
 3060 
 
 3115 
 
 3170 
 
 3225 
 
 
 
 31 
 
 3279 
 
 3334 
 
 3389 
 
 3444 
 
 3499 
 
 3553 
 
 3608 
 
 3663 
 
 3718 
 
 3772 
 
 
 
 32 
 
 3827 
 
 3882 
 
 3937 
 
 3991 
 
 4046 
 
 4101 
 
 4156 
 
 4210 
 
 4265 
 
 4320 
 
 
 
 33 
 
 4375 
 
 4429 
 
 4484 
 
 4539 
 
 4594 
 
 4648 
 
 4703 
 
 4758 
 
 4812 
 
 4867 
 
 
 
 34 
 
 4922 
 
 4977 
 
 5031 
 
 5086 
 
 5141 
 
 5196 
 
 5250 
 
 5305 
 
 5360 
 
 5415 
 
 
 
 35 
 
 5469 
 
 5524 
 
 5579 
 
 5634 
 
 5688 
 
 5743 
 
 5798 
 
 5852 
 
 5907 
 
 5962 
 
 
 
 36 
 
 6017 
 
 6071 
 
 6126 
 
 6181 
 
 6235 
 
 6290 
 
 6345 
 
 6400 
 
 6454 
 
 6509 
 
 
 
 37 
 
 6564 
 
 6619 
 
 6673 
 
 6728 
 
 6783 
 
 6837 
 
 6892 
 
 6947 
 
 7002 
 
 7056 
 
 
 
 38 
 
 7111 
 
 ■7166 
 
 7220 
 
 7275 
 
 7330 
 
 7384 
 
 7439 
 
 7494 
 
 7549 
 
 7603 
 
 
 
 39 
 
 7658 
 
 7713 
 
 7767 
 
 7822 
 
 7877 
 
 7932 
 
 7986 
 
 8041 
 
 8096 
 
 8150 
 
 
 
 7940 
 
 8205 
 
 8260 
 
 8314 
 
 8369 
 
 8424 
 
 8479 
 
 8533 
 
 8588 
 
 8643 
 
 8697 
 
 
 
 41 
 
 8752 
 
 8807 
 
 8861 
 
 8916 
 
 8971 
 
 9025 
 
 9080 
 
 9135 
 
 9189 
 
 9244 
 
 
 
 42 
 
 9299 
 
 9354 
 
 9408 
 
 9463 
 
 9518 
 
 9572 
 
 9627 
 
 9682 
 
 9736 
 
 9791 
 
 
 54 
 
 43 
 
 9846 
 
 9900 
 
 9955 
 
 0010 
 
 0064 
 
 0119 
 
 0174 
 
 0228 
 
 0283 
 
 0338 
 
 
 1 5 
 
 44 
 
 9000392 
 
 0447 
 
 0502 
 
 0556 
 
 0611 
 
 0666 
 
 0720 
 
 0775 
 
 0830 
 
 0884 
 
 
 2 11 
 
 3 16 
 
 45 
 
 OQ39 
 
 0'^94 
 
 1048 
 
 1103 
 
 J 158 
 
 1212 
 
 1267 
 
 1322 
 
 1376 
 
 1431 
 
 
 4 22 
 
 46 
 
 1486 
 
 1540 
 
 1595 
 
 1650 
 
 1704 
 
 1759 
 
 1814 
 
 1868 
 
 1923 
 
 1977 
 
 
 5 27 
 
 47 
 
 2032 
 
 2087 
 
 2J4I 
 
 2196 
 
 2251 
 
 2305 
 
 2360 
 
 2415 
 
 2469 
 
 2524 
 
 
 6 32 
 
 7 38 
 
 8 43 
 
 48' 
 
 2579 
 
 '2633 
 
 2688 
 
 2743 
 
 2797 
 
 2852 
 
 2906 
 
 2961 
 
 3016 
 
 3070 
 
 
 49 
 
 3 1 2.3 
 
 318.' 
 
 3234 
 
 3289 
 
 3344 
 
 3398 
 
 3453 
 
 3507 
 
 3562 
 
 3617 
 
 
 9 49 
 
 N.. 
 
 
 1 
 
 2 
 
 .'J 
 
 4 
 
 5 
 
 ~ 
 
 7 
 
 8 
 
 9 
 
 D 
 
 l-'ts. 
 
N.795 L.gOO OF NUMBERS. (145) 
 
 N. 
 
 7950 
 
 
 
 1 
 
 3726 
 
 2 
 
 3781 
 
 3 
 
 3835 
 
 4 
 
 3890 
 
 5 
 
 3944 
 
 6 
 
 3999 
 
 7 
 
 4054 
 
 8 
 
 4108 
 
 9 
 
 4163 
 
 D 
 
 Pro. 
 
 9003671 
 
 51 
 
 4218 
 
 4272 
 
 4327 
 
 4381 
 
 4436 
 
 4491 
 
 4545 
 
 4600 
 
 4654 
 
 4709 
 
 
 55 
 
 52 
 
 4764 
 
 ■is J 8 
 
 4873 
 
 4928 
 
 4982 
 
 5037 
 
 5091 
 
 5146 
 
 5201 
 
 5255 
 
 
 l\6 
 
 53 
 
 5310 
 
 5364 
 
 5419 
 
 5474 
 
 5528 
 
 5583 
 
 5637 
 
 5692 
 
 5747 
 
 5801 
 
 
 2 11 
 3117 
 4 22 
 
 54 
 
 5856 
 
 5910 
 
 5965 
 
 6020 
 
 6074 
 
 6129 
 
 6183 
 
 6238 
 
 6293 
 
 6347 
 
 
 55 
 
 6402 
 
 6456 
 
 6511 
 
 6566 
 
 6620 
 
 6675 
 
 6729 
 
 6784 
 
 6839 
 
 6893 
 
 
 5 28 . 
 
 56 
 
 6948 
 
 7002 
 
 7057 
 
 7112 
 
 7166 
 
 7221 
 
 7275 
 
 7330 
 
 7384 
 
 7439 
 
 
 6 33 
 
 7|39 
 8144 
 
 57 
 
 7494 
 
 7548 
 
 7603 
 
 7657 
 
 7712 
 
 7766 
 
 7821 
 
 ^7876 
 
 7930 
 
 7985 
 
 
 58 
 
 8039 
 
 8094 
 
 8148 
 
 8203 
 
 825 S 
 
 8312 
 
 8367 
 
 8421 
 
 8476 
 
 8530 
 
 
 9i50 
 
 59 
 
 8585 
 
 8640 
 
 8694 
 
 8749 
 
 8803 
 
 8858 
 
 8912 
 
 8967 
 
 9022 
 
 9076 
 
 
 
 7960 
 
 9131 
 
 9185 
 
 9240 
 
 9294 
 
 9349 
 
 9403 
 
 9453 
 
 9513 
 
 9567 
 
 9622 
 
 
 
 61 
 
 9676 
 
 9731 
 
 9785 
 
 9840 
 
 9894 
 
 9949 
 
 0004 
 
 0058 
 
 0113 
 
 0167 
 
 
 
 62 
 
 9010222 
 
 0276 
 
 0331 
 
 0385 
 
 0410 
 
 01-94 
 
 0549 
 
 0601 
 
 0658 
 
 0713 
 
 
 
 63 
 
 0767 
 
 0822 
 
 0876 
 
 0931 
 
 0985 
 
 1040 
 
 1094 
 
 1149 
 
 1203 
 
 1258 
 
 
 
 64 
 
 1313 
 
 1367 
 
 1422 
 
 1476 
 
 1531 
 
 1585 
 
 1640 
 
 1694 
 
 1749 
 
 1803 
 
 
 
 65 
 
 1858 
 
 1912 
 
 1967 
 
 2021 
 
 2076 
 
 2130 
 
 2185 
 
 2239 
 
 2294 
 
 2349 
 
 
 
 66 
 
 2403 
 
 2458 
 
 2512 
 
 2567 
 
 2621 
 
 2676 
 
 2730 
 
 2785 
 
 2839 
 
 2894 
 
 
 
 67 
 
 2948 
 
 3003 
 
 3057 
 
 3112 
 
 3166 
 
 3221 
 
 3275 
 
 3330 
 
 3^84 
 
 3439 
 
 
 
 68 
 
 3493 
 
 3548 
 
 3602 
 
 3657 
 
 37 1 1 
 
 3766 
 
 3820 
 
 3875 
 
 3929 
 
 3984 
 
 
 
 69 
 
 4038 
 
 4093 
 
 4147 
 
 4202 
 
 4256 
 
 4311 
 
 4365 
 
 4420 
 
 4474 
 
 4529 
 
 
 
 7970 
 
 4583 
 
 4638 
 
 4692 
 
 .4747 
 
 4801 
 
 4856 
 
 4910 
 
 4965 
 
 5019 
 
 5074 
 
 
 
 71 
 
 5128 
 
 5183 
 
 5237 
 
 5292 
 
 5346 
 
 5401 
 
 5455 
 
 5509 
 
 5564 
 
 5618 
 
 
 
 72 
 
 5673 
 
 5727 
 
 5782 
 
 5836 
 
 5891 
 
 5945 
 
 6000 
 
 6054 
 
 6109 
 
 6163 
 
 
 
 73 
 
 * 6218 
 
 6272 
 
 6327 
 
 6381 
 
 6436 
 
 6490 
 
 6544 
 
 6599 
 
 6653 
 
 07OS 
 
 
 
 74 
 
 6762 
 
 6817 
 
 6871 
 
 6926 
 
 6980 
 
 7035 
 
 7089 
 
 7 1 44 
 
 7198 
 
 7252 
 
 
 
 75 
 
 7307 
 
 7361 
 
 7416 
 
 7470 
 
 7525 
 
 7579 
 
 7634 
 
 7688 
 
 7743 
 
 7797 
 
 
 
 7d 
 
 7851 
 
 7906 
 
 7960 
 
 8015 
 
 8069 
 
 8124 
 
 8178 
 
 8233 
 
 8287 
 
 8341 
 
 
 
 77 
 
 8396 
 
 8450 
 
 8505 
 
 8559 
 
 8614 
 
 8668 
 
 8723 
 
 8777 
 
 8831 
 
 8886 
 
 
 
 78 
 
 8940 
 
 8995 
 
 9049 
 
 9104 
 
 9158 
 
 9212 
 
 9267 
 
 9321 
 
 9376 
 
 9430 
 
 
 
 79 
 
 9485 
 
 9539 
 
 9594 
 
 9648 
 
 9702 
 
 9757 
 
 9811 
 
 9866 
 
 9920 
 
 9974 
 
 
 
 7980 
 
 9020029 
 
 0083 
 
 0138 
 
 0192 
 
 0247 
 
 0301 
 
 0355 
 
 0410 
 
 0464 
 
 0519 
 
 
 
 81 
 
 0573 
 
 0628 
 
 0682 
 
 0736 
 
 0791 
 
 0845 
 
 0900 
 
 0954 
 
 1008 
 
 1063 
 
 
 
 82 
 
 1117 
 
 1172 
 
 1226 
 
 1280 
 
 1335 
 
 1389 
 
 1444 
 
 1498 
 
 1552 
 
 1607 
 
 
 
 83 
 
 1661 
 
 1716 
 
 1770 
 
 1824 
 
 1879 
 
 1933 
 
 1988 
 
 2042 
 
 2096 
 
 2151 
 
 
 
 84 
 
 2205 
 
 2260 
 
 2314 
 
 2368 
 
 2423 
 
 2477 
 
 2532 
 
 2586 
 
 2640 
 
 2695 
 
 
 
 85 
 
 2749 
 
 2804 
 
 2858 
 
 2912 
 
 2967 
 
 3021 
 
 3076 
 
 3130 
 
 3184 
 
 3239 
 
 
 
 86 
 
 3293 
 
 3347 
 
 3402 
 
 3456 
 
 3511 
 
 3565 
 
 3519 
 
 3674 
 
 3728 
 
 3782 
 
 
 
 87 
 
 3837 
 
 3891 
 
 3946 
 
 4000 
 
 4054 
 
 4109 
 
 4163 
 
 4217 
 
 4272 
 
 4326 
 
 
 
 88 
 
 4381 
 
 4435 
 
 4489 
 
 4544 
 
 4598 
 
 4652 
 
 4707 
 
 4761 
 
 4815 
 
 4870 
 
 
 
 SQ 
 
 4924 
 
 4979 
 
 5033 
 
 5087 
 
 5142 
 
 5196 
 
 5250 
 
 5305 
 
 5359 
 
 5413 
 
 
 
 7990 
 
 5468 
 
 5522 
 
 5577 
 
 5631 
 
 5685 
 
 5740 
 
 5794 
 
 5848 
 
 5903 
 
 5957 
 
 
 
 91 
 
 6011 
 
 6066 
 
 6120 
 
 6174 
 
 6229 
 
 6283 
 
 6337 
 
 6392 
 
 6446 
 
 6500 
 
 
 
 92 
 
 6555 
 
 6609 
 
 6663 
 
 6718 
 
 6772 
 
 6826 
 
 6881 
 
 6935 
 
 6989 
 
 7044 
 
 
 54 
 
 93 
 
 7098 
 
 7152 
 
 7207 
 
 7261 
 
 7315 
 
 7370 
 
 7424 
 
 7478 
 
 7533 
 
 7587 
 
 
 1 
 
 5 
 
 94 
 
 7641 
 
 7696 
 
 7750 
 
 7804 
 
 7859 
 
 7913 
 
 7967 
 
 8022 
 
 8076 
 
 8130 
 
 
 •2 
 3 
 
 11 
 16 
 
 95 
 
 8185 
 
 8239 
 
 8293 
 
 8348 
 
 8402 
 
 8456 
 
 8511 
 
 8565 
 
 8619 
 
 8674 
 
 
 4 
 
 22 
 
 96 
 
 8728 
 
 8782 
 
 8836 
 
 8391 
 
 8945 
 
 8999 
 
 9054 
 
 9108 
 
 9162 
 
 9217 
 
 
 5 
 
 27 
 
 97 
 
 9271 
 
 9325 
 
 9380 
 
 9434 
 
 9488 
 
 9542 
 
 9597 
 
 9651 
 
 9705 
 
 9760 
 
 
 6 
 
 7 
 8 
 
 32 
 38 
 43 
 
 98 
 
 9814 
 
 9868 
 
 9923 
 
 9977 
 
 0031 
 
 0085 
 
 0140 
 
 0194 
 
 0248 
 
 0303 
 
 
 99 
 
 9030357 
 
 GUI 
 
 0466 
 
 0520 
 
 0574 
 
 0628 
 
 0883 
 
 0737 
 
 0791 
 
 0846 
 
 
 9 
 
 49 
 
 N. 
 
 
 
 ~r 
 
 o 
 
 3~ 
 
 ~4~ 
 
 ~5~ 
 
 6 
 
 _„ 
 
 8 
 
 9 
 
 D 
 
 P 
 
 ts. 
 
 Q U 
 
(146') LOGARITHMS N.SOOL.C^OSf 
 
 N. 
 
 
 
 1 
 
 0954 
 
 2 
 1008 
 
 3 
 
 1063 
 
 4 
 
 1117 
 
 5 
 
 1171 
 
 6 
 
 1226 
 
 7 
 
 1280 
 
 8 
 1334 
 
 9 
 
 1388 
 
 D 
 
 Pro. 
 
 8000 
 
 9030900 
 
 01 
 
 1443 
 
 1497 
 
 1551 
 
 1606 
 
 1660 
 
 1714 
 
 1768 
 
 1823 
 
 1877 
 
 1931 
 
 
 55 
 
 02 
 
 1985 
 
 2040 
 
 2094 
 
 2148 
 
 2203 
 
 2257 
 
 2311 
 
 2365 
 
 2420 
 
 2474 
 
 
 1 6 
 
 03 
 
 2528 
 
 2582 
 
 2637 
 
 2691 
 
 2745 
 
 2799 
 
 2854 
 
 2908 
 
 2962 
 
 3017 
 
 
 2 11 
 
 04 
 
 3071 
 
 3125 
 
 3179 
 
 3234 
 
 3288 
 
 3342 
 
 3396 
 
 345 1 
 
 3505 
 
 3559 
 
 
 1 1 
 
 4 22 
 
 05 
 
 3613 
 
 3668 
 
 3722 
 
 3776 
 
 3830 
 
 3885 
 
 3939 
 
 3993 
 
 4047 
 
 4102 
 
 
 5 28 
 
 6 33 
 
 7 39 
 
 06 
 
 4156 
 
 4210 
 
 4264 
 
 4319 
 
 4373 
 
 4427 
 
 4481 
 
 4536 
 
 4590 
 
 4644 
 
 
 07 
 
 4698 
 
 4753 
 
 4807 
 
 4861 
 
 4915 
 
 4969 
 
 5024 
 
 5078 
 
 5132 
 
 5186 
 
 
 8 44 
 
 08 
 
 5241 
 
 5295 
 
 5349 
 
 5403 
 
 5458 
 
 5512 
 
 5566 
 
 5620 
 
 5674 
 
 5729 
 
 
 9 50 
 
 09 
 
 5783 
 
 5837 
 
 5891 
 
 5946 
 
 6000 
 
 6054 
 
 6108 
 
 6163 
 
 6217 
 
 6271 
 
 " 
 
 
 8010 
 
 6325 
 
 6379 
 
 6434 
 
 6488 
 
 6542 
 
 6596 
 
 6650 
 
 6705 
 
 6759 
 
 6813 
 
 
 
 11 
 
 6867 
 
 6922 
 
 6976 
 
 7030 
 
 7084 
 
 7138 
 
 7193 
 
 7247 
 
 7301 
 
 7355 
 
 
 
 12 
 
 7409 
 
 7464 
 
 7518 
 
 7572 
 
 7626 
 
 7680 
 
 7735 
 
 7789 
 
 7843 
 
 7897 
 
 
 
 ' 13 
 
 7951 
 
 8006 
 
 8060 
 
 8114 
 
 8168 
 
 8222 
 
 8277 
 
 8331 
 
 8385 
 
 8439 
 
 
 
 14 
 
 8493 
 
 8548 
 
 8602 
 
 8656 
 
 8710 
 
 8764 
 
 8819 
 
 8873 
 
 8927 
 
 8981 
 
 
 
 15 
 
 9035 
 
 9089 
 
 9144 
 
 9198 
 
 9252 
 
 9306 
 
 9360 
 
 9415 
 
 9469 
 
 9523 
 
 
 
 16 
 
 9577 
 
 9631 
 
 9685 
 
 9740 
 
 9794 
 
 9848 
 
 9902 
 
 9956 
 
 0010 
 
 0065 
 
 
 
 17 
 
 9040119 
 
 0173 
 
 0227 
 
 0281 
 
 0336 
 
 0390 
 
 0444 
 
 0498 
 
 0552 
 
 0606 
 
 
 
 18 
 
 0661 
 
 0715 
 
 0769 
 
 0823 
 
 0877 
 
 0931 
 
 0985 
 
 1040 
 
 1094 
 
 1148 
 
 
 
 19 
 
 1202 
 
 1256 
 
 1310 
 
 1365 
 
 1419 
 
 1473 
 
 1527 
 
 1581 
 
 1635 
 
 1690 
 
 
 
 8020 
 
 1744 
 
 1798 
 
 1 852 
 
 1906 
 
 1960 
 
 2014 
 
 2069 
 
 2123 
 
 2177 
 
 2231 
 
 
 
 21 
 
 2'285 
 
 2339 
 
 2393 
 
 2448 
 
 2502 
 
 2556 
 
 2610 
 
 2664 
 
 2718 
 
 2772 
 
 
 
 22 
 
 2827 
 
 2881 
 
 2935 
 
 2989 
 
 3043 
 
 3097 
 
 3151 
 
 3206 
 
 3260 
 
 3314 
 
 
 
 23 
 
 3368 
 
 3422 
 
 3476 
 
 3530 
 
 3584 
 
 3639 
 
 3693 
 
 3747 
 
 3801 
 
 3855 
 
 
 
 24 
 
 3909 
 
 3963 
 
 4017 
 
 4072 
 
 4126 
 
 4180 
 
 4234 
 
 4288 
 
 4342 
 
 4396 
 
 
 
 25 
 
 4450 
 
 4505 
 
 4559 
 
 4613 
 
 4667 
 
 4721 
 
 4775 
 
 4829 
 
 4883 
 
 4937 
 
 
 
 26 
 
 4992 
 
 5046 
 
 5100 
 
 5154 
 
 5208 
 
 5262 
 
 5316 
 
 5370 
 
 5424 
 
 5479 
 
 
 
 27 
 
 5533 
 
 55 S7 
 
 5641 
 
 5695 
 
 5749 
 
 5803 
 
 5857 
 
 5911 
 
 5965 
 
 6020 
 
 
 
 28 
 
 6074 
 
 6128 
 
 6182 
 
 6236 
 
 6290 
 
 6344 
 
 6398 
 
 6452 
 
 6506 
 
 6560 
 
 
 
 29 
 
 6615 
 
 6669 
 
 6723 
 
 0777 
 
 6831 
 
 6885 
 
 6939 
 
 6993 
 
 7047 
 
 7101 
 
 
 
 8030 
 
 7155 
 
 7210 
 
 7264 
 
 7318 
 
 7372 
 
 7426 
 
 7480 
 
 ^534 
 
 7588 
 
 7642 
 
 
 
 31 
 
 7696 
 
 7750 
 
 7804 
 
 7858 
 
 7913 
 
 7967; 
 
 8021 
 
 3075 
 
 8129 
 
 8183 
 
 
 
 32 
 
 8237 
 
 8291 
 
 8345 
 
 8399 
 
 8453 
 
 85(1^ 
 
 'kdl 
 
 8615 
 
 8670 
 
 8724 
 
 
 ! 
 
 33 
 
 8778 
 
 8832 
 
 8886 
 
 8940 
 
 8994 
 
 9Q48" 
 
 9102 
 
 9156 
 
 9210 
 
 9264 
 
 
 i 
 
 3i 
 
 9318 
 
 9372 
 
 9426 
 
 9480 
 
 9534 
 
 '9589 
 
 9643 
 
 9697 
 
 9751 
 
 9805 
 
 
 
 35 
 
 9859 
 
 9913 
 
 9967 
 
 0021 
 
 0075 
 
 0129 
 
 0183 
 
 0237 
 
 0291 
 
 0345 
 
 
 I 
 
 36 
 
 9050399 
 
 0453 
 
 0507 
 
 0561 
 
 0615 
 
 0669 
 
 0724 
 
 0778 
 
 0832 
 
 0886 
 
 
 
 37 
 
 0940 
 
 0994 
 
 1048 
 
 1102 
 
 1156 
 
 1210 
 
 1264 
 
 1318 
 
 1372 
 
 1426 
 
 
 
 38 
 
 1480 
 
 1534 
 
 1588 
 
 1642 
 
 1696 
 
 1750 
 
 1 804 
 
 1858 
 
 1912 
 
 1966 
 
 
 
 39 
 
 2020 
 
 2074 
 
 2128 
 
 2182 
 
 2236 
 
 2290 
 
 2344 
 
 2398 
 
 2452 
 
 2506 
 
 
 \ 
 
 8040 
 
 2560 
 
 2615 
 
 2669 
 
 2723 
 
 2777 
 
 2831 
 
 2885 
 
 2939 
 
 2993 
 
 3047 
 
 
 
 41 
 
 3101 
 
 3155 
 
 3209 
 
 3263 
 
 3317 
 
 3371 
 
 3425 
 
 3479 
 
 3533 
 
 3587 
 
 
 1 
 
 42 
 
 3641 
 
 3695 
 
 3749 
 
 3803 
 
 3837 
 
 3911 
 
 3965 
 
 4019 
 
 4073 
 
 4127 
 
 
 54 
 
 43 
 
 4181 
 
 4235 
 
 4289 
 
 4343 
 
 4397 
 
 445 1 
 
 4505 
 
 4559 
 
 4613 
 
 4667 
 
 54 
 
 in 
 
 44 
 
 4721 
 
 4775 
 
 4829 
 
 4883 
 
 4937 
 
 4991 
 
 5045 
 
 5099 
 
 5153 
 
 5207 
 
 
 21! 1 
 3 16 
 
 45 
 
 5260 
 
 5314 
 
 5368 
 
 5422 
 
 5476 
 
 5530 
 
 5584 
 
 5638 
 
 5692 
 
 5746 
 
 
 4 22 
 
 46 
 
 5800 
 
 5854 
 
 5908 
 
 5962 
 
 6016 
 
 6070 
 
 6124 
 
 6178 
 
 6232 
 
 6286 
 
 
 5 27 
 
 47 
 
 6340 
 
 6394 
 
 6448 
 
 6502 
 
 6556 
 
 6610 
 
 6664 
 
 6718 
 
 6772 
 
 6826 
 
 
 6 32 
 
 7 38 
 
 8 43 
 
 48 
 
 6880 
 
 6934 
 
 6988 
 
 7042 
 
 7096 
 
 7149 
 
 7203 
 
 7257 
 
 7311 
 
 7365 
 
 
 49 
 
 N. 
 
 7419 
 
 7473 
 
 7527 
 
 2 
 
 7581 
 
 3 
 
 7635 
 4 
 
 7689 
 
 11 5 
 
 7743 
 
 6 
 
 7797 
 7 
 
 7851 
 8 
 
 7905 
 
 9 
 
 D 
 
 9 49 
 
 Pts. 
 
 
 
 1 
 
N. 805 L. 905 OF NUMBERS. (147) 
 
 N. 
 
 8050 
 
 
 
 1 
 
 8013 
 
 2 
 8067 
 
 3 
 
 8121 
 
 4 
 
 8175 
 
 5 
 
 8229 
 
 6 
 
 8282 
 
 7 
 
 8336 
 
 8 
 
 8390 
 
 9 
 
 8444 
 
 D 
 
 Pro. 
 
 9057959 
 
 51 
 
 8498 
 
 8552 
 
 8606 
 
 8660 
 
 8714 
 
 8763 
 
 8822 
 
 8876 
 
 8930 
 
 8984 
 
 
 54 
 
 52 
 
 9038 
 
 9092 
 
 9146 
 
 9199 
 
 9253 
 
 9307 
 
 9361 
 
 9415 
 
 9469 
 
 9523 
 
 
 1 5 
 
 53 
 
 9577 
 
 9631 
 
 9685 
 
 9739 
 
 9793 
 
 9847 
 
 9901 
 
 9954 
 
 0008 
 
 0062 
 
 
 2 11 
 
 3 16 
 
 4 22 
 
 54 
 
 9060116 
 
 0170 
 
 0224 
 
 0278 
 
 0332 
 
 0386 
 
 0440 
 
 0494 
 
 0548 
 
 0602 
 
 
 55 
 
 0655 
 
 0709 
 
 0763 
 
 0817 
 
 0871 
 
 0925 
 
 0979 
 
 1033 
 
 1087 
 
 1141 
 
 
 5 27 
 
 56 
 
 1195 
 
 1248 
 
 1302 
 
 1356 
 
 1410 
 
 1464 
 
 1518 
 
 1572 
 
 1626 
 
 1680 
 
 
 6 32 
 
 7i38 
 
 8143 
 
 57 
 
 1734 
 
 1788 
 
 1841 
 
 1895 
 
 1949 
 
 2003 
 
 2057 
 
 21 II 
 
 2165 
 
 2219 
 
 
 58 
 
 2273 
 
 2327 
 
 2380 
 
 2434 
 
 2488 
 
 2542 
 
 2596 
 
 2650 
 
 2704 
 
 2758 
 
 
 949 
 
 59 
 
 2812 
 
 2865 
 
 2919 
 
 2973 
 
 3027 
 
 3081 
 
 3135 
 
 3189 
 
 3243 
 
 3297 
 
 
 
 8060 
 
 3350 
 
 3404 
 
 3458 
 
 3512 
 
 3566 
 
 3620 
 
 3674 
 
 3728 
 
 3781 
 
 3835 
 
 
 
 61 
 
 3889 
 
 3943 
 
 3997 
 
 4051 
 
 4105 
 
 4159 
 
 4212 
 
 4266 
 
 1320 
 
 4374 
 
 
 
 62 
 
 4428 
 
 4482 
 
 4536 
 
 4590 
 
 4643 
 
 4697 
 
 4751 
 
 4805 
 
 4859 
 
 4913 
 
 
 
 63 
 
 4967 
 
 5020 
 
 5074 
 
 5128 
 
 5182 
 
 5236 
 
 5290 
 
 5344 
 
 5397 
 
 5451 
 
 
 
 64 
 
 5505 
 
 5559 
 
 5613 
 
 5667 
 
 5721 
 
 5774 
 
 5828 
 
 5882 
 
 5936 
 
 5990 
 
 
 
 65 
 
 6044 
 
 6098 
 
 6151 
 
 6205 
 
 6259 
 
 6313 
 
 6367 
 
 6421 
 
 6474 
 
 6528 
 
 
 
 66 
 
 6582 
 
 6636 
 
 6690 
 
 6744 
 
 6798 
 
 6851 
 
 6905 
 
 6959 
 
 7013 
 
 7067 
 
 
 
 61 
 
 7121 
 
 7174 
 
 7228 
 
 7282 
 
 7336 
 
 7390 
 
 7444 
 
 7497 
 
 7551 
 
 7605 
 
 
 
 68 
 
 7659 
 
 7713 
 
 7767 
 
 7820 
 
 7874 
 
 7928 
 
 7982 
 
 8036 
 
 8090 
 
 8 1 43 
 
 
 
 69 
 
 8197 
 
 8251 
 
 8305 
 
 8359 
 
 8412 
 
 8466 
 
 8520 
 
 8574 
 
 8628 
 
 8682 
 
 
 
 8070 
 
 8735 
 
 8789 
 
 8843 
 
 8897 
 
 8951 
 
 9004 
 
 9058 
 
 9112 
 
 9166 
 
 9220 
 
 
 
 71 
 
 9273 
 
 9327 
 
 9381 
 
 9435 
 
 9489 
 
 9543 
 
 9596 
 
 9650 
 
 9704 
 
 9758 
 
 
 
 72 
 
 9812 
 
 9865 
 
 9919 
 
 9973 
 
 0027 
 
 0081 
 
 0134 
 
 0188 
 
 0242 
 
 0296 
 
 
 
 73 
 
 9070350 
 
 0403 
 
 0457 
 
 0511 
 
 0565 
 
 0618 
 
 0672 
 
 0726 
 
 0780 
 
 0834 
 
 
 
 74 
 
 0887 
 
 0941 
 
 0995 
 
 1049 
 
 1103 
 
 1156 
 
 1210 
 
 1264 
 
 1318 
 
 1372 
 
 
 
 75 
 
 1425 
 
 1479 
 
 1533 
 
 1587 
 
 1640 
 
 1694 
 
 1748 
 
 1802 
 
 1856 
 
 1909 
 
 
 
 76 
 
 1963 
 
 2017 
 
 2071 
 
 2124 
 
 2178 
 
 2232 
 
 2286 
 
 2340 
 
 2393 
 
 2447 
 
 
 
 77 
 
 2501 
 
 2555 
 
 2608 
 
 2662 
 
 2716 
 
 2770 
 
 2823 
 
 2877 
 
 2931 
 
 2985 
 
 
 
 78 
 
 3038 
 
 3092 
 
 3146 
 
 3200 
 
 5254 
 
 3307 
 
 3361 
 
 3415 
 
 3469 
 
 3522 
 
 
 
 79 
 
 3576 
 
 3630 
 
 3684 
 
 3737 
 
 3791 
 
 3845 
 
 3899 
 
 3952 
 
 4006 
 
 4060 
 
 
 
 8080 
 
 4114 
 
 4167 
 
 4221 
 
 4275 
 
 4329 
 
 4382 
 
 4436 
 
 4490 
 
 4544 
 
 4597 
 
 
 
 81 
 
 4651 
 
 4705 
 
 4759 
 
 4812 
 
 4866 
 
 4920 
 
 4974 
 
 5027 
 
 5081 
 
 5135 
 
 
 
 82 
 
 5188 
 
 5242 
 
 5296 
 
 5350 
 
 5403 
 
 5457 
 
 5511 
 
 5565 
 
 5618 
 
 5672 
 
 
 
 83 
 
 5726 
 
 5780 
 
 5833 
 
 5887 
 
 5941 
 
 5994 
 
 6048 
 
 6102 
 
 6156 
 
 6209 
 
 
 
 84 
 
 6263 
 
 6317 
 
 6370 
 
 6424 
 
 6478 
 
 6532 
 
 6585 
 
 6639 
 
 6693 
 
 6747 
 
 
 
 85 
 
 6800 
 
 6854 
 
 6908 
 
 6961 
 
 7015 
 
 7069 
 
 7123 
 
 7176 
 
 7230 
 
 7284 
 
 
 
 86 
 
 7337 
 
 7391 
 
 7445 
 
 7498 
 
 7552 
 
 7606 
 
 7660 
 
 7713 
 
 7767 
 
 7821 
 
 
 
 87 
 
 7874 
 
 7928 
 
 7982 
 
 8036 
 
 8089 
 
 8143 
 
 8197 
 
 8250 
 
 8304 
 
 8358 
 
 
 
 88 
 
 8411 
 
 8465 
 
 8519 
 
 8573 
 
 8626 
 
 8680 
 
 8734 
 
 8787 
 
 8841 
 
 8895 
 
 
 
 89 
 
 8948 
 
 9002 
 
 9056 
 
 9109 
 
 9163 
 
 9217 
 
 9270 
 
 9324 
 
 9378 
 
 9432 
 
 
 
 8090 
 
 9485 
 
 9539 
 
 9593 
 
 9646 
 
 9700 
 
 9754 
 
 9807 
 
 9861 
 
 9915 
 
 9968 
 
 
 
 91 
 
 9080022 
 
 0076 
 
 0129 
 
 0183 
 
 0237 
 
 0290 
 
 0344 
 
 0398 
 
 0451 
 
 0505 
 
 
 
 92 
 
 0559 
 
 0612 
 
 0666 
 
 0720 
 
 0773 
 
 0827 
 
 0881 
 
 0934 
 
 0988 
 
 1042 
 
 
 53 
 
 93 
 
 1095 
 
 1149 
 
 1203 
 
 1256 
 
 1310 
 
 1364 
 
 1417 
 
 1471 
 
 1525 
 
 1578 
 
 
 1 5 
 
 94 
 
 1632 
 
 1686 
 
 1739 
 
 1793 
 
 1847 
 
 1900 
 
 1954 
 
 2008 
 
 2061 
 
 2115 
 
 
 2 11 
 
 3 16 
 
 95 
 
 2169 
 
 2222 
 
 2276 
 
 2329 
 
 2383 
 
 2437 
 
 2490 
 
 2544 
 
 2598 
 
 2651 
 
 
 421 
 
 96 
 
 2705 
 
 2759 
 
 2812 
 
 2866 
 
 2920 
 
 2973 
 
 3027 
 
 3080 
 
 3134 
 
 3188 
 
 
 5 27 
 
 97 
 
 3241 
 
 3295 
 
 3349 
 
 3402 
 
 3456 
 
 3510 
 
 3563 
 
 3617 
 
 3670 
 
 3724 
 
 
 6 32 
 
 7 37 
 
 8 42 
 
 98 
 
 3778 
 
 3831 
 
 3885 
 
 3939 
 
 3992 
 
 4046 
 
 4099 
 
 4153 
 
 4207 
 
 4260 
 
 
 99 
 
 4314 
 
 4368 
 1 
 
 4421 
 
 2 
 
 4475 
 
 3 
 
 4528 
 
 4 
 
 4582 
 
 5 
 
 4656 
 6 
 
 4689 
 
 7 
 
 4743 
 8 
 
 4797 
 
 9 
 
 D 
 
 9 48 
 
 Pts. 
 
 
 
 8 U2 
 
(148) LOGARITHMS N. 810 L. 908 
 
 N. 
 
 8I0C 
 
 
 
 1 
 
 4957 
 
 3 
 
 5011 
 
 4 
 5065 
 
 5 
 
 5llg 
 
 6 
 
 51T2 
 
 7 
 
 5225 
 
 8 
 
 527 1< 
 
 9 
 5333 
 
 D 
 
 Pro. 
 
 ) 908485C 
 
 ) 4904 
 
 01 
 
 538t 
 
 1 5440 
 
 5494|5547 
 
 5601 
 
 5654 
 
 5708 
 
 5762 
 
 5815 
 
 5869 
 
 
 54 
 
 02 
 
 5Q2i 
 
 ' 5976 
 
 603C 
 
 6083 
 
 6137 
 
 6190 
 
 6244 
 
 6298 
 
 6351 
 
 6405 
 
 
 11 5 
 
 03 
 
 645S 
 
 6512 
 
 656() 
 
 6619 
 
 6673 
 
 6726 
 
 67 80 
 
 6834 
 
 6887 
 
 6941 
 
 
 2 11 
 
 3 16 
 
 4 22 
 
 04 
 
 6994 
 
 7048 
 
 7102 
 
 7155 
 
 7209 
 
 7262 
 
 7316 
 
 7369 
 
 7423 
 
 7477 
 
 
 05 
 
 753C 
 
 7584 
 
 7637 
 
 7691 
 
 7745 
 
 7798 
 
 7852 
 
 7905 
 
 7959 
 
 8012 
 
 
 6 27 
 
 Od 
 
 8066 
 
 8120 
 
 8173 
 
 8227 
 
 8280 
 
 8334 
 
 8387 
 
 8441 
 
 849518548 
 
 
 6 32 
 
 7 38 
 g 43 
 
 07 
 
 8602 
 
 8655 
 
 8709 
 
 8762 
 
 8816 
 
 8870 
 
 8923 
 
 8977 
 
 9030 
 
 9084 
 
 
 08 
 
 9137 
 
 9191 
 
 9245 
 
 9298 
 
 9352 
 
 9405 
 
 9459 
 
 9512 
 
 9566 
 
 9619 
 
 
 9 49 
 
 09 
 
 9673 
 
 9727 
 
 9780 
 
 9834 
 
 9887 
 
 9941 
 
 9994 
 
 0048 
 
 0101 
 
 0155 
 
 
 
 8110 
 
 9090209 
 
 0262 
 
 0316 
 
 0369 
 
 0423 
 
 0476 
 
 0530 
 
 0583 
 
 0637 
 
 0690 
 
 
 
 11 
 
 0744 
 
 0798 
 
 0851 
 
 0905 
 
 0958 
 
 1012 
 
 1065 
 
 1119 
 
 1172 
 
 1226 
 
 
 
 12 
 
 1279 
 
 1333 
 
 1386 
 
 1440| 1494 
 
 1547 
 
 1601 
 
 1654 
 
 1708 
 
 1761 
 
 
 
 13 
 
 1815 
 
 1868 
 
 1922 
 
 1975 
 
 2029 
 
 2082 
 
 2136 
 
 2189 
 
 2243 
 
 2297 
 
 
 
 14 
 
 2350 
 
 2404 
 
 2457 
 
 2511 
 
 2564 
 
 2618 
 
 2671 
 
 2725 
 
 2778 
 
 2832 
 
 
 
 15 
 
 2885 
 
 2939 
 
 2992 
 
 3046 
 
 3099 
 
 3153 
 
 3206 
 
 3260 
 
 3313 
 
 3367 
 
 
 
 16 
 
 34-20 
 
 3474 
 
 3527 
 
 3581 
 
 3634 
 
 3688 
 
 3741 
 
 3795 
 
 3848 
 
 3902 
 
 
 
 17 
 
 3955 
 
 4009 
 
 4062 
 
 4116 
 
 4169 
 
 4223 
 
 4276 
 
 4330 
 
 4383 
 
 4437 
 
 
 
 18 
 
 4490 
 
 4544 
 
 4597 
 
 4651 
 
 4704 
 
 4758 
 
 4811 
 
 4865 
 
 4918 
 
 4972 
 
 
 
 19 
 
 5025 
 
 5079 
 
 5132 
 
 5186 
 
 5239 
 
 5293 
 
 5346 
 
 5400 
 
 5453 
 
 5507 
 
 
 
 8120 
 
 5560 
 
 5614 
 
 5667 
 
 5721 
 
 5774 
 
 5828 
 
 5881 
 
 5935 
 
 5988 
 
 6042 
 
 
 
 21 
 
 6095 
 
 6149 
 
 6202 
 
 6256 
 
 6309 
 
 6362 
 
 6416 
 
 6469 
 
 6523 
 
 6576 
 
 
 
 22 
 
 6630 
 
 6683 
 
 6737 
 
 6790 
 
 6844 
 
 6897 
 
 6951 
 
 7004 
 
 7058 
 
 7111 
 
 
 
 23 
 
 7165 
 
 7218 
 
 7271 
 
 7325 
 
 7378 
 
 7432 
 
 7485 
 
 7539 
 
 7592 
 
 7646 
 
 
 
 24 
 
 7699 
 
 7753 
 
 7806 
 
 7860 
 
 7913 
 
 7966 
 
 8020 
 
 8073 
 
 8127 
 
 8180 
 
 
 
 25 
 
 8234 
 
 8287 
 
 8341 
 
 8394 
 
 8447 
 
 8501 
 
 8554 
 
 8608 
 
 8661 
 
 8715 
 
 
 
 26 
 
 8768 
 
 8822 
 
 8875 
 
 8929 
 
 8982 
 
 9035 
 
 9089 
 
 9142 
 
 9196 
 
 9249 
 
 
 
 27 
 
 9303 
 
 9356 
 
 9409 
 
 9463 
 
 9516 
 
 9570 
 
 9623 
 
 9677 
 
 9730 
 
 9784 
 
 
 
 28 
 
 9837 
 
 9890 
 
 9944 
 
 9997 
 
 0051 
 
 0104 
 
 0158 
 
 0211 
 
 0264 
 
 0318 
 
 
 
 29 
 
 9100371 
 
 0425 
 
 0478 
 
 0532 
 
 0585 
 
 0638 
 
 0692 
 
 0745 
 
 0799 
 
 0852 
 
 
 
 8130 
 
 0905 
 
 0959 
 
 1012 
 
 1066 
 
 1119 
 
 1173 
 
 1226 
 
 1279 
 
 1333 
 
 1386 
 
 
 
 31 
 
 1440 
 
 1493 
 
 1546 
 
 1600 
 
 1653 
 
 1707 
 
 1760 
 
 1813 
 
 1867 
 
 1920 
 
 
 
 32 
 
 1974 
 
 2027 
 
 2081 
 
 2134 
 
 2187 
 
 2241 
 
 2294 
 
 2348 
 
 2401 
 
 2454 
 
 
 
 33 
 
 2508 
 
 2561 
 
 2615 
 
 2668 
 
 2721 
 
 2775 
 
 2828 
 
 2882 
 
 2935 
 
 2988 
 
 
 
 34 
 
 3042 
 
 3095 
 
 5148 
 
 3202 
 
 3255 
 
 3309 
 
 3362 
 
 3415 
 
 3469 
 
 3522 
 
 
 
 S5 
 
 3576 
 
 3629 
 
 3682 
 
 3736 
 
 3789 
 
 3842 
 
 3896 
 
 3949 
 
 4003 
 
 4056 
 
 
 
 SO 
 
 4109 
 
 4163 
 
 4216 
 
 4270 
 
 4323 
 
 4376 
 
 4430 
 
 4483 
 
 4536 
 
 4590 
 
 
 
 57 
 
 4643 
 
 4697 
 
 4750 
 
 4803 
 
 4857 
 
 4910 
 
 4963 
 
 5017 
 
 ^070 
 
 5123 
 
 
 
 38 
 
 5177 
 
 5230 
 
 5284 
 
 5337 
 
 5390 
 
 5444 
 
 5497 
 
 5550 
 
 5604 
 
 5657 
 
 
 
 39 
 
 5710 
 
 5764 
 
 5817 
 
 5871 
 
 5924 
 
 5977 
 
 6031 
 
 6084 
 
 6137 
 
 6191 
 
 
 
 8140 
 
 6244 
 
 6297 
 
 6351 
 
 6404 
 
 6457 
 
 6511 
 
 6564 
 
 S6I8 
 
 6671 
 
 6724 
 
 
 
 41 
 
 6778 
 
 6831 
 
 6884 
 
 6938 
 
 6991 
 
 7044 
 
 7098 
 
 7151 
 
 7204 
 
 7258 
 
 
 
 42 
 
 7311 
 
 7304 
 
 7418 
 
 7471 
 
 7524 
 
 7578 
 
 7631 ' 
 
 7684 
 
 7738 
 
 7791 
 
 
 53 
 
 43 
 
 7844 
 
 7898 
 
 7951 
 
 8004 
 
 8058 
 
 8111 
 
 8164 
 
 3218 
 
 8271 
 
 8324 
 
 
 Ij 5 
 2 11 
 3|16 
 421 
 
 44 
 
 8378 
 
 8431 
 
 8484 
 
 3538 
 
 8591 
 
 8644 
 
 8698 I 
 
 5751 
 
 8&04 
 
 8858 
 
 
 45 
 
 8911 
 
 8964 
 
 9018 
 
 9071 
 
 9124 
 
 9177 
 
 9231 f 
 
 )284 
 
 5337 
 
 9391 
 
 
 46 
 
 9444. 
 
 9497 
 
 9551 
 
 9604 
 
 9657 
 
 9711 
 
 9764 t 
 
 )817 
 
 ?871 
 
 9924 
 
 
 5 27 
 
 6 32 
 
 7 37 
 
 8 42 
 
 47 
 
 9977 
 
 0030 
 
 3084 
 
 0137 
 
 0190 
 
 0244 
 
 0297 ( 
 
 )350 ( 
 
 3404 < 
 
 3457 j 
 
 
 48 
 
 9110510 
 
 0564 ( 
 
 3617 
 
 0670 
 
 0723 
 
 0777 
 
 0830 ( 
 
 )883 ( 
 
 3937 ( 
 
 3990 
 
 
 49 
 
 1043 
 
 1096 1150| 
 
 1203 
 
 ~3~ 
 
 1256 
 
 4 
 
 1310 
 
 5 
 
 1363 1 
 
 6 
 
 416 
 
 7 
 
 1470 
 
 1523| 
 
 T9~i' 
 
 
 9 48 
 
 
 
 1 
 
 2 1 
 
 8 
 
 D 
 
 Pts.j 
 
N.815L.911 OF NUMBERS. (149) 
 
 N. 
 
 8150 
 
 
 
 1 
 
 2 
 
 1683 
 
 3 
 
 1736 
 
 4 
 
 1789 
 
 5 
 
 6 
 
 1896 
 
 7 
 
 1949 
 
 8 
 
 2002 
 
 9 
 
 2056 
 
 ^ 
 
 Pro. 
 
 9111576 
 
 1629 
 
 1843 
 
 51 
 
 2109 
 
 2162 
 
 2215 
 
 2269 
 
 2322 
 
 2375 
 
 2429 
 
 2482 
 
 2535 
 
 2588 
 
 
 54 
 
 52 
 
 2642 
 
 2695 
 
 2748 
 
 2802 
 
 2855 
 
 2908 
 
 2961 
 
 3015 
 
 3068 
 
 3121 
 
 
 1 5 
 
 5.3 
 
 3174 
 
 3228 
 
 3281 
 
 3334 
 
 3387 
 
 3441 
 
 3494 
 
 3547 
 
 3601 
 
 3654 
 
 
 211 
 
 3 16 
 
 4 22 
 
 54 
 
 3707 
 
 3760 
 
 3814 
 
 3867 
 
 3920 
 
 3973 
 
 4027 
 
 4080 
 
 4133 
 
 4186 
 
 
 55 
 
 4240 
 
 4293 
 
 4346 
 
 4399 
 
 4453 
 
 4506 
 
 4559 
 
 4612 
 
 4666 
 
 4719 
 
 
 5 27 
 
 56 
 
 4772 
 
 4825 
 
 4879 
 
 4932 
 
 4985 
 
 5038 
 
 5092 
 
 5145 
 
 5198 
 
 5251 
 
 
 6 32 
 
 7 38 
 ft 4^ 
 
 57 
 
 5305 
 
 5358 
 
 5411 
 
 5464 
 
 5518 
 
 5571 
 
 5624 
 
 5677 
 
 5731 
 
 5784 
 
 
 58 
 
 5837 
 
 5890 
 
 5943 
 
 5997 
 
 6050 
 
 6103 
 
 6156 
 
 6210 
 
 6263 
 
 6316 
 
 
 9 49 
 
 ■ 59 
 
 6369 
 
 6423 
 
 6476 
 
 6529 
 
 6582 
 
 6635 
 
 6689 
 
 6742 
 
 6795 
 
 6848 
 
 
 
 
 8160 
 
 6902 
 
 6955 
 
 7008 
 
 7061 
 
 7114 
 
 7168 
 
 7221 
 
 7274 
 
 7327 
 
 7381 
 
 
 
 61 
 
 7434 
 
 7487 
 
 7540 
 
 7593 
 
 7647 
 
 7700 
 
 7753 
 
 7806 
 
 7859 
 
 7913 
 
 
 
 62 
 
 7966 
 
 8019 
 
 8072 
 
 8126 
 
 8179 
 
 8232 
 
 8285 
 
 8338 
 
 8392 
 
 8445 
 
 
 
 63 
 
 8498 
 
 8551 
 
 8604 
 
 8658 
 
 8711 
 
 8764 
 
 8817 
 
 8870 
 
 8924 
 
 8977 
 
 
 
 64 
 
 9030 
 
 9083 
 
 9136 
 
 9190 
 
 9243 
 
 9296 
 
 9349 
 
 9402 
 
 945G 
 
 9509 
 
 
 
 65 
 
 9562 
 
 9615 
 
 9668 
 
 9721 
 
 9775 
 
 9828 
 
 9881 
 
 9934 
 
 9987 
 
 0041 
 
 
 
 66 
 
 9120094 
 
 0147 
 
 0200 
 
 0253 
 
 0306 
 
 0360 
 
 0413 
 
 0466 
 
 0519 
 
 0572 
 
 
 
 67 
 
 0626 
 
 0679 
 
 0732 
 
 0785 
 
 0838 
 
 0891 
 
 0945 
 
 0998 
 
 1051 
 
 1104 
 
 
 
 68 
 
 1157 
 
 1210 
 
 1264 
 
 1317 
 
 1370 
 
 1423 
 
 1476 
 
 1529 
 
 1583 
 
 1636 
 
 
 
 69 
 
 1689 
 
 1742 
 
 1795 
 
 1848 
 
 1902 
 
 1955 
 
 2008 
 
 2061 
 
 2114 
 
 2167 
 
 
 
 8170 
 
 222X 
 
 2274 
 
 2327 
 
 2380 
 
 2433 
 
 2486 
 
 2539 
 
 2593 
 
 2646 
 
 2699 
 
 
 
 71 
 
 2752 
 
 2805 
 
 2858 
 
 2912 
 
 2965 
 
 3018 
 
 3071 
 
 3124 
 
 3177 
 
 3230 
 
 
 
 72 
 
 3284 
 
 3337 
 
 3390 
 
 3443 
 
 3496 
 
 3549 
 
 3602 
 
 3656 
 
 3709 
 
 3762 
 
 
 
 73 
 
 3815 
 
 3868 
 
 3921 
 
 3974 
 
 4028 
 
 4081 
 
 4134 
 
 4187 
 
 4240 
 
 4293 
 
 
 
 74 
 
 4346 
 
 4399 
 
 4453 
 
 4506 
 
 4559 
 
 4612 
 
 4665 
 
 4718 
 
 4771 
 
 4824 
 
 
 
 75 
 
 4878 
 
 4931 
 
 4984 
 
 5037 
 
 5090 
 
 5143 
 
 5196 
 
 5249 
 
 5303 
 
 5356 
 
 
 
 76 
 
 5409 
 
 5462 
 
 5515 
 
 5568 
 
 5621 
 
 5674 
 
 5728 
 
 5781 
 
 5834 
 
 5887 
 
 
 
 77 
 
 5940 
 
 5993 
 
 6046 
 
 6099 
 
 6152 
 
 6206 
 
 6259 
 
 6312 
 
 6365 
 
 6418 
 
 
 
 78 
 
 6471 
 
 6524 
 
 6577 
 
 6630 
 
 6683 
 
 6737 
 
 6790 
 
 6843 
 
 6896 
 
 6949 
 
 
 
 79 
 
 7002 
 
 7055 
 
 7108 
 
 7161 
 
 7214 
 
 7268 
 
 7321 
 
 7374 
 
 7427 
 
 7480 
 
 
 
 8180 
 
 7533 
 
 7586 
 
 7639 
 
 7692 
 
 7745 
 
 7798 
 
 7852 
 
 7905 
 
 7958 
 
 8011 
 
 
 
 81 
 
 8064 
 
 8117 
 
 8170 
 
 8223 
 
 8276 
 
 8329 
 
 8382 
 
 8436 
 
 8489 
 
 8542 
 
 
 
 82 
 
 8595 
 
 8648 
 
 8701 
 
 8754 
 
 8807 
 
 8860 
 
 8913 
 
 8966 
 
 9019 
 
 9072 
 
 
 
 85 
 
 9126 
 
 9179 
 
 9232 
 
 9285 
 
 9338 
 
 9391 
 
 9444 
 
 9497 
 
 9550 
 
 9603 
 
 
 
 84 
 
 9656 
 
 9709 
 
 9762 
 
 9815 
 
 9868 
 
 9922 
 
 9975 
 
 0028 
 
 0081 
 
 0134 
 
 
 
 85 
 
 9130187 
 
 0240 
 
 0293 
 
 0346 
 
 0399 
 
 0452 
 
 05Q5 
 
 0558 
 
 0611 
 
 0664 
 
 
 
 86 
 
 0717 
 
 0770 
 
 0824 
 
 0877 
 
 0930 
 
 0983 
 
 1036 
 
 1089 
 
 1142 
 
 1195 
 
 
 
 87 
 
 1248 
 
 1301 
 
 1354 
 
 1407 
 
 1460 
 
 1513 
 
 1566 
 
 1619 
 
 1672 
 
 1725 
 
 
 
 88 
 
 1778 
 
 1831 
 
 1884 
 
 1937 
 
 1990 
 
 2044 
 
 2097 
 
 2150 
 
 2203 
 
 2256 
 
 
 
 89 
 
 2309 
 
 2362 
 
 2415 
 
 2468 
 
 2521 
 
 2574 
 
 2627 
 
 '2680 
 
 2733 
 
 2786 
 
 
 
 8190 
 
 2839 
 
 2892 
 
 2945 
 
 2998 
 
 3051 
 
 3104 
 
 3157 
 
 3210 
 
 3263 
 
 3316 
 
 
 
 91 
 
 3369 
 
 3422 
 
 3475 
 
 3528 
 
 3581 
 
 3634 
 
 3687 
 
 3740 
 
 3793 
 
 3846 
 
 
 
 92 
 
 3899 
 
 3952 
 
 4005 
 
 4058 
 
 4111 
 
 4165 
 
 4218 
 
 4271 
 
 4324 
 
 4377 
 
 
 53 
 
 93 
 
 4430 
 
 4483 
 
 4536 
 
 4589 
 
 4642 
 
 4695 
 
 4748 
 
 4801 
 
 4854 
 
 4907 
 
 
 1 5 
 
 94 
 
 4960 
 
 5013 
 
 5066 
 
 5119 
 
 5172 
 
 5225 
 
 5278 
 
 5331 
 
 5384 
 
 5437 
 
 53 
 
 2 11 
 
 3 16 
 
 95 
 
 5490 
 
 5543 
 
 5596 
 
 5649 
 
 5702 
 
 5755 
 
 5808 
 
 5861 
 
 5914 
 
 5967 
 
 
 4 21 
 
 96 
 
 6019 
 
 6072 
 
 6125 
 
 6178 
 
 6231 
 
 6284 
 
 6337 
 
 6390 
 
 6443 
 
 6496 
 
 
 5 27 
 
 97 
 
 6549 
 
 6602 
 
 6655 
 
 6708 
 
 6761 
 
 6814 
 
 6867 
 
 6920 
 
 6973 
 
 7026 
 
 
 6 32 
 
 7 37 
 
 8 42 
 
 98 
 
 7079 
 
 7132 
 
 7185 
 
 7238 
 
 7291 
 
 7344 
 
 7397 
 
 7450 
 
 7503 
 
 7556 
 
 
 99 
 
 7609 
 
 7662 
 1 
 
 7715 
 
 ;2 
 
 7768 
 3 
 
 7821 
 4 
 
 7874 
 
 5 1 
 
 7927 
 
 6 
 
 7980 
 
 7 
 
 8033 
 8 
 
 8086 
 
 9 
 
 D 
 
 9 48 
 
 Pts. 
 
 _^N. 
 
 
 
 '"'""" " 
 
 
 
 
 
 
 
 
 
 
 
 ■■" 
 
 "■■"■* 
 
(150) LOGARITHMS N.SSOL.plSJ 
 
 N. 
 
 8200 
 
 
 
 1 
 
 8191 
 
 2 
 
 8244 
 
 3 
 
 8297 
 
 4 
 
 8350 
 
 5 
 
 8403 
 
 6 
 
 8456 
 
 7 
 
 8509 
 
 8 
 
 8562 
 
 9 
 
 8615 
 
 D 
 
 Pro. 
 
 9138139 
 
 01 
 
 8668 
 
 8721 
 
 8774 
 
 8827 
 
 8880 
 
 8933 
 
 8986 
 
 9039 
 
 9092 
 
 9145 
 
 
 53 
 
 02 
 
 9198 
 
 9251 
 
 9304 
 
 9356 
 
 9409 
 
 9462 
 
 9515 
 
 9568 
 
 9621 
 
 9674 
 
 
 1 5 
 
 03 
 
 9727 
 
 9780 
 
 9833 
 
 9886 
 
 9939 
 
 9992 
 
 0045 
 
 0098 
 
 0151 
 
 0204 
 
 
 2 U 
 
 3 16 
 
 4 21 
 
 04 
 
 9140257 
 
 0309 
 
 0362 
 
 0415 
 
 0468 
 
 0521 
 
 0574 
 
 0627 
 
 0680 
 
 0733 
 
 
 05 
 
 0786 
 
 0839 
 
 0892 
 
 0945 
 
 0998 
 
 1050 
 
 1103 
 
 1156 
 
 1209 
 
 1262 
 
 
 5 27 
 
 Of) 
 
 1315 
 
 1368 
 
 1421 
 
 1474 
 
 1527 
 
 1580 
 
 1633 
 
 1686 
 
 1738 
 
 1791 
 
 
 6 32 
 
 7 37 
 
 8 42 
 
 07 
 
 1844 
 
 1897 
 
 1950 
 
 2003 
 
 2056 
 
 2109 
 
 2162 
 
 2215 
 
 2268 
 
 2321 
 
 
 08 
 
 2373 
 
 2426 
 
 2479 
 
 2532 
 
 2585 
 
 2638 
 
 2691 
 
 2744 
 
 2797 
 
 2850 
 
 
 9 48 
 
 09 
 
 2903 
 
 2955 
 
 3008 
 
 3061 
 
 3114 
 
 3167 
 
 3220 
 
 3273 
 
 3326 
 
 3379 
 
 
 
 8210 
 
 3432 
 
 3484 
 
 3537 
 
 3590 
 
 3643 
 
 3696 
 
 3749 
 
 3802 
 
 3855 
 
 3908 
 
 
 
 11 
 
 3961 
 
 4013 
 
 4066 
 
 4119 
 
 4172 
 
 4225 
 
 4278 
 
 4331 
 
 4384 
 
 4437 
 
 
 
 12 
 
 4489 
 
 4542 
 
 4595 
 
 4648 
 
 4701 
 
 4754 
 
 4807 
 
 4860 
 
 4912 
 
 4965 
 
 
 
 13 
 
 5018 
 
 5071 
 
 5124 
 
 5177 
 
 5230 
 
 5283 
 
 5335 
 
 5388 
 
 5441 
 
 5494 
 
 
 
 14 
 
 5547 
 
 5600 
 
 5653 
 
 5706 
 
 5758 
 
 5811 
 
 5864 
 
 5917 
 
 5970 
 
 6023 
 
 
 
 15 
 
 6076 
 
 6129 
 
 6181 
 
 6234 
 
 6287 
 
 6340 
 
 6393 
 
 6446 
 
 6499 
 
 6551 
 
 
 
 16 
 
 6604 
 
 6657 
 
 6710 
 
 6763 
 
 6816 
 
 6869 
 
 6921 
 
 6974 
 
 7027 
 
 7080 
 
 
 
 17 
 
 7133 
 
 7186 
 
 7239 
 
 7291 
 
 7344 
 
 7397 
 
 7450 
 
 7503 
 
 7556 
 
 7609 
 
 
 
 18 
 
 7661 
 
 7714 
 
 7767 
 
 7 820 
 
 7873 
 
 7926 
 
 7978 
 
 8031 
 
 8084 
 
 8137 
 
 
 
 19 
 
 8190 
 
 8243 
 
 8295 
 
 8348 
 
 8401 
 
 8454 
 
 8507 
 
 8560 
 
 8613 
 
 8665 
 
 
 
 8220 
 
 8718 
 
 8771 
 
 8824 
 
 8877 
 
 8930 
 
 8982 
 
 9035 
 
 9088 
 
 9141 
 
 9194 
 
 
 
 21 
 
 9246 
 
 9299 
 
 9352 
 
 9405 
 
 9458 
 
 9511 
 
 9563 
 
 9616 
 
 9669 
 
 9722 
 
 
 
 22 
 
 9775 
 
 9828 
 
 9880 
 
 9933 
 
 9986 
 
 0039 
 
 0092 
 
 0144 
 
 0197 
 
 0250 
 
 
 
 23 
 
 9150303 
 
 0356 
 
 0409 
 
 0461 
 
 0514 
 
 0567 
 
 0620 
 
 0673 
 
 0725 
 
 0778 
 
 
 
 24 
 
 0831 
 
 0884 
 
 0937 
 
 0989 
 
 1042 
 
 1095 
 
 1148 
 
 1201 
 
 1253 
 
 1306 
 
 
 
 25 
 
 1359 
 
 1412 
 
 1465 
 
 1517 
 
 .1570 
 
 1623 
 
 1676 
 
 1729 
 
 1781 
 
 1834 
 
 
 
 26 
 
 1887 
 
 1940 
 
 1993 
 
 2045 
 
 2098 
 
 2151 
 
 2204 
 
 2257 
 
 2309 
 
 2362 
 
 
 
 27 
 
 2415 
 
 2468 
 
 2521 
 
 2573 
 
 2626 
 
 2679 
 
 2732 
 
 2784 
 
 2837 
 
 2890 
 
 
 
 28 
 
 2943 
 
 2996 
 
 3048 
 
 3101 
 
 3154 
 
 3207 
 
 3260 
 
 3312 
 
 3365 
 
 3418 
 
 
 
 29 
 
 3471 
 
 3523 
 
 3576 
 
 3629 
 
 3682 
 
 3734 
 
 3787 
 
 3840 
 
 3893 
 
 3946 
 
 
 
 8230 
 
 3998 
 
 4051 
 
 4104 
 
 4157 
 
 4209 
 
 4262 
 
 4315 
 
 4368 
 
 4420 
 
 4473 
 
 
 
 31 
 
 4526 
 
 4579 
 
 4632 
 
 4684 
 
 4737 
 
 4790 
 
 4843 
 
 4895 
 
 4948 
 
 5001 
 
 
 
 32 
 
 5054 
 
 5106 
 
 5159 
 
 5212 
 
 5265 
 
 5317 
 
 5370 
 
 5423 
 
 5476 
 
 5528 
 
 
 
 33 
 
 5581 
 
 5634 
 
 5687 
 
 5739 
 
 5792 
 
 5845 
 
 5898 
 
 5950 
 
 6003 
 
 6056 
 
 
 
 34 
 
 6109 
 
 6161 
 
 6214 
 
 6267 
 
 6320 
 
 6372 
 
 6425 
 
 6478 
 
 6531 
 
 6583 
 
 
 
 55 
 
 6636 
 
 6689 
 
 6742 
 
 6794 
 
 6847 
 
 6900 
 
 6952 
 
 7005 
 
 7058 
 
 7111 
 
 
 
 36 
 
 7163 
 
 7216 
 
 7269 
 
 7322 
 
 7374 
 
 7427 
 
 7480 
 
 7532 
 
 7585 
 
 7638 
 
 
 
 37 
 
 7691 
 
 7743 
 
 7796 
 
 7849 
 
 7902 
 
 7954 
 
 8007 
 
 8060 
 
 8112 
 
 8165 
 
 
 
 38 
 
 8218 
 
 8271 
 
 8323 
 
 8376 
 
 8429 
 
 8481 
 
 8534 
 
 8587 
 
 8640 
 
 8692 
 
 
 
 39 
 
 8745 
 
 8798 
 
 8850 
 
 8903 
 
 8956 
 
 9009 
 
 9061 
 
 9114 
 
 9167 
 
 9219 
 
 
 
 8240 
 
 9272 
 
 9325 
 
 9378 
 
 9430 
 
 9483 
 
 9536 
 
 9588 
 
 9641 
 
 9694 
 
 9746 
 
 
 
 41 
 
 9799 
 
 9852 
 
 9905 
 
 9957 
 
 0010 
 
 0063 
 
 0115 
 
 0168 
 
 0221 
 
 0273 
 
 
 
 42 
 
 9160326 
 
 0379 
 
 0431 
 
 0484 
 
 0537 
 
 0590 
 
 0642 
 
 0695 
 
 0748 
 
 0300 
 
 
 52 
 
 43 
 
 0853 
 
 0906 
 
 0958 
 
 1011 
 
 1064 
 
 1116 
 
 1169 
 
 1222 
 
 1274 
 
 1327 
 
 
 1 5 
 
 44 
 
 1380 
 
 1433 
 
 1485 
 
 1538 
 
 1591 
 
 1643 
 
 1696 
 
 1749 
 
 1801 
 
 1854 
 
 
 2 10 
 
 3 16 
 
 45 
 
 1907 
 
 1959 
 
 2012 
 
 2065 
 
 2117 
 
 2170 
 
 2223 
 
 2275 
 
 2328 
 
 2381 
 
 
 421 
 
 -46 
 
 2433 
 
 2486 
 
 2539 
 
 2591 
 
 2644 
 
 2697 
 
 2749 
 
 2802 
 
 2855 
 
 2907 
 
 
 5 26 
 
 47 
 
 2960 
 
 3013 
 
 3065 
 
 3118 
 
 3171 
 
 3223 
 
 3276 
 
 3329 
 
 3381 
 
 3434 
 
 
 631 
 
 7 36 
 
 8 42 
 
 48 
 
 3487 
 
 3539 
 
 3592 
 
 3644 
 
 3697 
 
 3750 
 
 3802 
 
 3855 
 
 3908 
 
 3960 
 
 
 49 
 
 N. 
 
 4013 
 
 4066 
 
 I 
 
 4118 
 2 
 
 4171 
 
 3 
 
 4224 
 4 . 
 
 4276 
 5 
 
 4329 
 
 6 
 
 4382 
 
 7 
 
 4434 
 8 
 
 4487 
 
 9 
 
 D 
 
 9 47 
 Pts. 
 
 
 
N,S^5L.9l6 OF NUMBERS. (l-^Ol 
 
 N. 
 
 8250 
 
 
 
 1 
 
 4592 
 
 2 
 4645 
 
 3 
 
 4697 
 
 4 
 
 4750 
 
 5 
 
 4803 
 
 6 
 
 4855 
 
 7 
 
 4908 
 
 8 
 
 4961 
 
 9 
 
 5013 
 
 D|Pro. 
 
 9164539 
 
 
 
 51 
 
 5066 
 
 5119 
 
 5171 
 
 5224 
 
 5276 
 
 5329 
 
 5382 
 
 5434 
 
 5487 
 
 5540 
 
 
 53 \ 
 
 52 
 
 5592 
 
 5645 
 
 5697 
 
 5750 
 
 5803 
 
 5855 
 
 5908 
 
 5961 
 
 6013 
 
 6066 
 
 
 I 
 
 1^ 
 
 53 
 
 6118 
 
 6171 
 
 6224 
 
 6276 
 
 6329 
 
 6382 
 
 6434 
 
 6487 
 
 6539 
 
 6592 
 
 
 2 
 3 
 4 
 
 '1 
 
 16 
 21 
 
 54- 
 
 6645 
 
 6697 
 
 6750 
 
 6802 
 
 6855 
 
 6908 
 
 6960 
 
 7013 
 
 7066 
 
 7118 
 
 
 55 
 
 7171 
 
 7223 
 
 7276 
 
 7329 
 
 7381 
 
 7434 
 
 7486 
 
 7539 
 
 7592 
 
 7644 
 
 
 5 
 
 27 
 
 56 
 
 7697 
 
 7749 
 
 7802 
 
 7855 
 
 7907 
 
 7960 
 
 8012 
 
 8065 
 
 8118 
 
 8170 
 
 
 6 
 
 7 
 8 
 
 32 
 37 
 42 
 
 57 
 
 8223 
 
 8275 
 
 8328 
 
 8381 
 
 8433 
 
 8486 
 
 8538 
 
 8591 
 
 8644 
 
 8696 
 
 
 58 
 
 874.9 
 
 8801 
 
 8854 
 
 8907 
 
 8959 
 
 9012 
 
 9064 
 
 9117 
 
 9169 
 
 9222 
 
 
 9 
 
 48 
 
 59 
 
 9275 
 
 9327 
 
 9380 
 
 9432 
 
 9485 
 
 9538 
 
 9590 
 
 9643 
 
 9695 
 
 9748 
 
 
 
 8260 
 
 9800 
 
 9853 
 
 9P06 
 
 9958 
 
 0011 
 
 0063 
 
 0116 
 
 0169 
 
 0221 
 
 0274 
 
 
 
 61 
 
 9170326 
 
 0379 
 
 0431 
 
 0484 
 
 0537 
 
 0589 
 
 0642 
 
 0694 
 
 0747 
 
 0799 
 
 
 
 62 
 
 0852 
 
 0904 
 
 0957 
 
 1010 
 
 1062 
 
 1115 
 
 1167 
 
 1220 
 
 1272 
 
 1325 
 
 
 
 63 
 
 1378 
 
 1430 
 
 1483 
 
 1535 
 
 1588 
 
 1640 
 
 1693 
 
 1745 
 
 1798 
 
 1851 
 
 
 
 64 
 
 1903 
 
 1956 
 
 2008 
 
 2061 
 
 2113 
 
 2166 
 
 2218 
 
 2271 
 
 2323 
 
 2376 
 
 
 
 65 
 
 24.29 
 
 2481 
 
 2534 
 
 2586 
 
 2639 
 
 2691 
 
 2744 
 
 2796 
 
 2849 
 
 2901 
 
 
 
 66 
 
 2954 
 
 3007 
 
 3059 
 
 3112 
 
 3164 
 
 3217 
 
 3269 
 
 3322 
 
 3374 
 
 3427 
 
 
 
 67 
 
 3479 
 
 3532 
 
 3584 
 
 3637 
 
 3690 
 
 3742 
 
 3795 
 
 3847 
 
 3900 
 
 3952 
 
 
 
 68 
 
 4005 
 
 4057 
 
 4110 
 
 4162 
 
 4215 
 
 4267 
 
 4320 
 
 4372 
 
 4425 
 
 4477 
 
 
 
 69 
 
 4530 
 
 4582 
 
 4635 
 
 4687 
 
 4740 
 
 4793 
 
 4845 
 
 4898 
 
 4950 
 
 5003 
 
 
 
 8270 
 
 5055 
 
 5108 
 
 5160 
 
 5213 
 
 5265 
 
 5318 
 
 5370 
 
 5423 
 
 5475 
 
 5528 
 
 
 
 71 
 
 5580* 
 
 5633 
 
 5685 
 
 5738 
 
 5790 
 
 5843 
 
 5895 
 
 5948 
 
 6000 
 
 6053 
 
 
 
 72 
 
 6105 
 
 6158 
 
 6210 
 
 6263 
 
 6315 
 
 6368 
 
 6420 
 
 6473 
 
 6525 
 
 6578 
 
 
 
 73 
 
 6630 
 
 6683 
 
 6735 
 
 6788 
 
 6840 
 
 6893 
 
 6945 
 
 6998 
 
 7050 
 
 7103 
 
 
 
 74 
 
 7155 
 
 7208 
 
 7260 
 
 7313 
 
 7365 
 
 7418 
 
 7470 
 
 7523 
 
 7575 
 
 7628 
 
 
 
 75 
 
 7680 
 
 7733 
 
 7785 
 
 7837 
 
 7890 
 
 7942 
 
 7995 
 
 8047 
 
 8100 
 
 8152 
 
 
 
 76 
 
 8205 
 
 8257 
 
 8310 
 
 8362 
 
 8415 
 
 8467 
 
 8520 
 
 8572 
 
 8625 
 
 8677 
 
 
 
 77 
 
 8730 
 
 8782 
 
 8834 
 
 8887 
 
 8939 
 
 8992 
 
 9044 
 
 9097 
 
 9149 
 
 9202 
 
 
 
 78 
 
 9254 
 
 9307 
 
 9359 
 
 9412 
 
 9464 
 
 9517 
 
 9569 
 
 9621 
 
 9674 
 
 9726 
 
 
 
 79 
 
 9779 
 
 9831 
 
 9884 
 
 9936 
 
 9989 
 
 0041 
 
 0094 
 
 0146 
 
 0198 
 
 0251 
 
 
 
 8280 
 
 9180303 
 
 0356 
 
 0408 
 
 0461 
 
 0513 
 
 0566 
 
 0618 
 
 0671 
 
 0723 
 
 0775 
 
 
 
 81 
 
 08 '2 8 
 
 0880 
 
 0933 
 
 0985 
 
 1038 
 
 1090 
 
 1143 
 
 1195 
 
 1247 
 
 1300 
 
 
 
 82 
 
 1352 
 
 1405 
 
 1457 
 
 1510 
 
 1562 
 
 1614 
 
 1667 
 
 1719 
 
 1772 
 
 1 824 
 
 
 
 85 
 
 1877 
 
 1929 
 
 1981 
 
 2034 
 
 2086 
 
 2139 
 
 2191 
 
 2244 
 
 2296 
 
 2348 
 
 
 
 84 
 
 2401 
 
 2453 
 
 2506 
 
 2558 
 
 2611 
 
 2663 
 
 2715 
 
 2768 
 
 2820 
 
 2873 
 
 
 
 85 
 
 2925 
 
 2978 
 
 3030 
 
 3082 
 
 3135 
 
 3187 
 
 3240 
 
 3292 
 
 3344 
 
 3397 
 
 
 
 86 
 
 3449 
 
 3502 
 
 3554 
 
 3607 
 
 3659 
 
 3711 
 
 3764 
 
 3816 
 
 3869 
 
 3921 
 
 
 
 87 
 
 3973 
 
 4026 
 
 4078 
 
 4131 
 
 4183 
 
 4235 
 
 4288 
 
 4340 
 
 431)3 
 
 4445 
 
 
 
 88 
 
 4497 
 
 4550 
 
 4602 
 
 4655 
 
 4707 
 
 4759 
 
 4812 
 
 4864 
 
 4917 
 
 4969 
 
 
 
 89 
 
 5021 
 
 5074 
 
 5126 
 
 5179 
 
 5231 
 
 5283 
 
 5336 
 
 5388 
 
 5441 
 
 5493 
 
 
 
 8290 
 
 5545 
 
 5598 
 
 5650 
 
 5702 
 
 5755 
 
 5807 
 
 5860 
 
 5912 
 
 5964 
 
 6017 
 
 
 
 91 
 
 6069 
 
 6122 
 
 6174 
 
 6226 
 
 6279 
 
 6331 
 
 6383 
 
 6436 
 
 6488 
 
 6541 
 
 
 
 92 
 
 6593 
 
 6645 
 
 6698 
 
 6750 
 
 6802 
 
 6855 
 
 6907 
 
 6960 
 
 7012 
 
 7064 
 
 
 52 
 
 93 
 
 7117 
 
 7169 
 
 7221 
 
 7274 
 
 7326 
 
 7378 
 
 7431 
 
 7483 
 
 7536 
 
 7588 
 
 
 
 5 
 
 94 
 
 7640 
 
 7693 
 
 7745 
 
 7797 
 
 7850 
 
 7902 
 
 7954 
 
 8007 
 
 8059 
 
 8112 
 
 
 2 
 3 
 
 10 
 16 
 
 95 
 
 8164 
 
 8216 
 
 8269 
 
 8321 
 
 8373 
 
 8426 
 
 8478 
 
 8530 
 
 8583 
 
 8635 
 
 
 4 
 
 21 
 
 96 
 
 8687 
 
 8740 
 
 8792 
 
 8844 
 
 8897 
 
 8949 
 
 9002 
 
 9054 
 
 9106 
 
 9159 
 
 
 5 
 
 26 
 
 97 
 
 9211 
 
 9263 
 
 9316 
 
 9368 
 
 9420 
 
 9473 
 
 9525 
 
 9577 
 
 9630 
 
 9682 
 
 
 6 
 
 7 
 8 
 
 31 
 36 
 
 42 
 
 98 
 
 9734, 
 
 9787 
 
 9839 
 
 9891 
 
 9944 
 
 9996 
 
 0048 
 
 0101 
 
 0153 
 
 0205 
 
 
 99 
 
 N. 
 
 9190258 
 
 0310 
 
 1 
 
 0362 
 2 
 
 0415 
 
 3 
 
 0467 
 
 4 
 
 0519 
 
 5 
 
 0572 
 6 
 
 0624 
 7 
 
 0676 
 8 
 
 0729 
 
 9 
 
 D 
 
 9 
 
 47 
 
 
 
 PtsJ 
 
 
 
 
 
 ■ 
 
 
 
 
 
 
 • 
 
 
 
 
(152) LOGARITHMS N.830L..91,9 
 
 N. 
 
 8300 
 
 
 
 1 
 
 0833 
 
 2 
 
 0886 
 
 3 1 
 
 0938 
 
 4 II 5 
 
 6 
 
 1095 
 
 7 
 
 1147 
 
 8 
 
 1200 
 
 9 
 1252 
 
 D 
 
 Pro. 
 
 9190781 
 
 0990 
 
 1043 
 
 01 
 
 1304 
 
 1356 
 
 1409 
 
 1461 
 
 1513 
 
 1566 
 
 1618 
 
 1670 
 
 1723 
 
 1775 
 
 
 53 
 
 02 
 
 1827 
 
 1880 
 
 1932 
 
 1984 
 
 2037 
 
 2089 
 
 2141 
 
 2193 
 
 2246 
 
 2298 
 
 
 1 5 
 
 03 
 
 2350 
 
 2403 
 
 2455 
 
 2507 
 
 2560 
 
 2612 
 
 2664 
 
 2717 
 
 2769 
 
 2821 
 
 
 2 11 
 
 3 16' 
 421 
 
 04 
 
 2873 
 
 2926 
 
 2978 
 
 3030 
 
 3083 
 
 3135 
 
 3187 
 
 3239 
 
 3292 
 
 3344 
 
 
 05 
 
 3396 
 
 3449 
 
 3501 
 
 3553 
 
 3606 
 
 3658 
 
 3710 
 
 3762 
 
 3815 
 
 3867 
 
 
 5 27 
 
 06 
 
 3919 
 
 3972 
 
 4024 
 
 4076 
 
 4128 
 
 4181 
 
 4233 
 
 4285 
 
 4338 
 
 4390 
 
 
 6 32 
 
 7 37 
 
 8 42 
 
 07 
 
 4442 
 
 4494 
 
 4547 
 
 4599 
 
 4651 
 
 4703 
 
 4756 
 
 4808 
 
 4860 
 
 4913 
 
 
 08 
 
 4965 
 
 5017 
 
 5069 
 
 5122 
 
 5174 
 
 5226 
 
 5279 
 
 5331 
 
 5383 
 
 5435 
 
 
 9 48^ 
 
 09 
 
 5488 
 
 5540 
 
 5592 
 
 5644 
 
 5697 
 
 5749 
 
 5801 
 
 5853 
 
 5906 
 
 5958 
 
 
 
 8310 
 
 6010 
 
 6062 
 
 6115 
 
 6167 
 
 6219 
 
 6272 
 
 6324 
 
 6376 
 
 6428 
 
 6481 
 
 
 
 11 
 
 6533 
 
 6585 
 
 6637 
 
 6690 
 
 6742 
 
 6794 
 
 6846 
 
 6899 
 
 6951 
 
 7003 
 
 
 
 12 
 
 7055 
 
 7108 
 
 7160 
 
 7212 
 
 7264 
 
 7317 
 
 7 369 
 
 7421 
 
 7473 
 
 7526 
 
 
 
 13 
 
 7578 
 
 7630 
 
 7682 
 
 7735 
 
 7787 
 
 7839 
 
 7891 
 
 7943 
 
 7996 
 
 8048 
 
 
 
 14 
 
 8100 
 
 8152 
 
 8205 
 
 8257 
 
 8.309 
 
 8361 
 
 8414 
 
 8466 
 
 8518 
 
 8570 
 
 
 
 15 
 
 8623 
 
 8675 
 
 8727 
 
 8779 
 
 8831 
 
 8884 
 
 8936 
 
 8988 
 
 9040 
 
 9093 
 
 
 
 16 
 
 9145 
 
 9197 
 
 9249 
 
 9301 
 
 9354 
 
 9406 
 
 9458 
 
 9510 
 
 9563 
 
 9615 
 
 
 
 17 
 
 9667 
 
 9719 
 
 9771 
 
 9824 
 
 987(3 
 
 9928 
 
 9980 
 
 0033 
 
 0085 
 
 0137 
 
 
 
 18 
 
 9200189 
 
 0241 
 
 0294 
 
 0346 
 
 0398 
 
 0450 
 
 0502 
 
 0555 
 
 0607 
 
 O650 
 
 
 
 19 
 
 0711 
 
 0763 
 
 0816 
 
 0868 
 
 0920 
 
 0972 
 
 1024 
 
 1077 
 
 1129 
 
 1181 
 
 
 
 8320 
 
 1233 
 
 1285 
 
 1338 
 
 1390 
 
 1442 
 
 1494 
 
 1546 
 
 1599 
 
 1651 
 
 1703 
 
 
 
 21 
 
 1755 
 
 1807 
 
 1860 
 
 1912 
 
 1964 
 
 2016 
 
 2068 
 
 2121 
 
 2173 
 
 2225 
 
 
 
 22 
 
 2277 
 
 2329 
 
 2381 
 
 2434 
 
 2486 
 
 2538 
 
 2590 
 
 2642 
 
 2695 
 
 2747 
 
 
 
 23 
 
 2799 
 
 2851 
 
 2903 
 
 2955 
 
 3008 
 
 3060 
 
 3112 
 
 3164 
 
 3216 
 
 3269 
 
 
 
 24 
 
 3321 
 
 3373 
 
 3425 
 
 3477 
 
 3329 
 
 3582 
 
 3634 
 
 3686 
 
 3738 
 
 3790 
 
 
 
 25 
 
 3S42 
 
 3895 
 
 3947 
 
 3999 
 
 405 1 
 
 4103 
 
 4155 
 
 4208 
 
 4260 
 
 4312 
 
 
 
 26 
 
 4364 
 
 4416 
 
 4468 
 
 4521 
 
 4573 
 
 4625 
 
 4677 
 
 4729 
 
 4781 
 
 4833 
 
 
 
 27 
 
 4886 
 
 4938 
 
 4990 
 
 5042 
 
 5094 
 
 5 1 46 
 
 5199 
 
 5251 
 
 5303 
 
 5355 
 
 
 
 2S 
 
 5407 
 
 5459 
 
 5511 
 
 5564 
 
 5616 
 
 5668 
 
 5720 
 
 5772 
 
 5824 
 
 5876 
 
 
 
 29 
 
 5929 
 
 5981 
 
 6033 
 
 6085 
 
 6137 
 
 6189 
 
 6241 
 
 6294 
 
 6346 
 
 6398 
 
 
 
 8330 
 
 6450 
 
 6502 
 
 6554 
 
 6606 
 
 6659 
 
 6711 
 
 6763 
 
 6815 
 
 6867 
 
 6919 
 
 
 
 31 
 
 6971 
 
 7023 
 
 7076 
 
 7128 
 
 7180 
 
 7232 
 
 7284 
 
 7336 
 
 7388 
 
 7440 
 
 
 
 32 
 
 7493 
 
 7545 
 
 7597 
 
 7649 
 
 7701 
 
 7753 
 
 7805 
 
 7857 
 
 7910 
 
 7962 
 
 
 
 33 
 
 8014 
 
 8066 
 
 8118 
 
 8170 
 
 8222 
 
 8274 
 
 8327 
 
 8379 
 
 8431 
 
 8483 
 
 
 
 34- 
 
 8535 
 
 8587 
 
 8639 
 
 8691 
 
 8743 
 
 8796 
 
 8848 
 
 8900 
 
 8952 
 
 9004 
 
 
 
 35 
 
 9056 
 
 9108 
 
 9160 
 
 9212 
 
 9264 
 
 9317 
 
 9369 
 
 9421 
 
 9473 
 
 9525 
 
 
 
 36 
 
 9577 
 
 9629 
 
 9681 
 
 9733 
 
 9785 
 
 9838 
 
 9890 
 
 9942 
 
 9994 
 
 0046 
 
 
 
 37 
 
 9210098 
 
 0150 
 
 0202 
 
 0254 
 
 0306 
 
 0358 
 
 0411 
 
 0463 
 
 0515 
 
 0567 
 
 
 
 3S 
 
 0619 
 
 0671 
 
 0723 
 
 0775 
 
 0827 
 
 0879 
 
 0931 
 
 0983 
 
 1036 
 
 1088 
 
 
 
 39 
 
 1 1 40 
 
 1192 
 
 1244 
 
 1296 
 
 1348 
 
 1400 
 
 1452 
 
 1504 
 
 1556 
 
 1608 
 
 
 
 8340 
 
 1661 
 
 1713 
 
 1765 
 
 1817 
 
 1869 
 
 1921 
 
 1973 
 
 2025 
 
 2077 
 
 2129 
 
 
 
 41 
 
 2181 
 
 2233 
 
 2285 
 
 2337 
 
 2389 
 
 2442 
 
 2494 
 
 2546 
 
 2598 
 
 2650 
 
 
 
 42 
 
 2702 
 
 2754 
 
 2806 
 
 2858 
 
 2910 
 
 2962 
 
 3014 
 
 3066 
 
 3118 
 
 3170 
 
 
 52 
 
 43 
 
 3222 
 
 3274 
 
 3327 
 
 3379 
 
 3431 
 
 3483 
 
 35^35 
 
 3587 
 
 3639 
 
 3691 
 
 
 1 5 
 
 44 
 
 3743 
 
 3795 
 
 3847 
 
 3899 
 
 3951 
 
 4003 
 
 4055 
 
 4107 
 
 4159 
 
 4211 
 
 
 2 10 
 
 3 16 
 
 45 
 
 4263 
 
 4315 
 
 4367 
 
 4420 
 
 4472 
 
 4524 
 
 4576 
 
 4628 
 
 4680 
 
 4732 
 
 
 4 21 
 
 46 
 
 4784 
 
 4836 
 
 4888 
 
 4940 
 
 4992 
 
 5044 
 
 5096 
 
 5148 
 
 5200 
 
 5252 
 
 
 5 26 
 
 47 
 
 5304 
 
 ^356 
 
 5408 
 
 5460 
 
 5512 
 
 5564 
 
 5616 
 
 5668 
 
 5720 
 
 5772 
 
 
 6 31 
 
 7 36 
 
 8 42 
 
 48 
 
 5824 
 
 5876 
 
 5928 
 
 5980 
 
 6032 
 
 6085 
 
 6137 
 
 6189 
 
 6241 
 
 6293 
 
 
 49 
 
 6345 
 
 6397 
 
 6449 
 
 6501 
 
 6553 
 
 6605 
 
 6657 
 
 6709 
 
 6761 
 
 6813 
 
 
 9 47 
 
 N. 
 
 
 
 ] 
 
 2 
 
 3 
 
 "T" 
 
 5~ 
 
 IT 
 
 7 
 
 ~8~ 
 
 9 
 
 D 
 
 Pts.. 
 
N.835 L.921 of numbers. (153) 
 
 N. 
 
 8350 
 
 
 
 1 
 
 6917 
 
 2 
 6969 
 
 3 
 
 7021 
 
 4 
 
 7073 
 
 5 
 
 7125 
 
 6 
 
 nil 
 
 7 
 
 7229 
 
 8 
 
 7281 
 
 9 
 
 7333 
 
 D 
 
 iVo. 
 
 9216865 
 
 51 
 
 7385 
 
 7437 
 
 7489 
 
 7541 
 
 7593 
 
 7645 
 
 1691 
 
 7749 
 
 7801 
 
 7853 
 
 
 52 
 
 52 
 
 7905 
 
 7957 
 
 8009 
 
 8061 
 
 8113 
 
 8165 
 
 8217 
 
 8269 
 
 8321 
 
 8373 
 
 52 
 
 1 
 
 5 
 
 53 
 
 8425 
 
 8477 
 
 8529 
 
 8581 
 
 8633 
 
 8685 
 
 8737 
 
 8789 
 
 8841 
 
 8893 
 
 
 '2 
 
 10 
 16 
 21 
 
 54 
 
 8945 
 
 8997 
 
 9049 
 
 9101 
 
 9153 
 
 9205 
 
 9257 
 
 9309 
 
 9361 
 
 9413 
 
 
 3 
 4 
 
 55 
 
 9465 
 
 9517 
 
 9569 
 
 9620 
 
 9672 
 
 9724 
 
 9776 
 
 9828 
 
 9880 
 
 9932 
 
 
 5 
 
 26 
 
 56 
 
 9984 
 
 5036 
 
 0088 
 
 0140 
 
 0192 
 
 0244 
 
 0296 
 
 0348 
 
 0400 
 
 0452 
 
 
 6 
 
 7 
 g 
 
 31 
 :i6 
 42 
 
 57 
 
 9220504 
 
 0556 
 
 0608 
 
 0660 
 
 0712 
 
 0764 
 
 0816 
 
 0868 
 
 0920 
 
 0972 
 
 
 58 
 
 1024 
 
 1076 
 
 1128 
 
 1180 
 
 1232 
 
 1283 
 
 1335 
 
 1387 
 
 1439 
 
 1491 
 
 
 9 
 
 47 
 
 59 
 
 1543 
 
 1595 
 
 1647 
 
 1699 
 
 1751 
 
 1803 
 
 1855 
 
 1907 
 
 1959 
 
 2011 
 
 
 
 8360 
 
 2063 
 
 2115 
 
 2167 
 
 2219 
 
 2271 
 
 2323 
 
 2374 
 
 2426 
 
 2478 
 
 2530 
 
 
 
 61 
 
 2582 
 
 2634 
 
 2686 
 
 2738 
 
 2790 
 
 2842 
 
 2894 
 
 2946 
 
 2998 
 
 3050 
 
 
 
 62 
 
 3102 
 
 3154 
 
 3206 
 
 3257 
 
 3309 
 
 3361 
 
 3413 
 
 3405 
 
 3517 
 
 3569 
 
 
 
 63 
 
 3621 
 
 3673 
 
 3725 
 
 3777 
 
 3829 
 
 3881 
 
 3933 
 
 3984 
 
 4036 
 
 4088 
 
 
 
 64 
 
 4140 
 
 4192 
 
 4244 
 
 4296 
 
 4348 
 
 4400 
 
 4452 
 
 4504 
 
 4556 
 
 4608 
 
 
 
 65 
 
 4659 
 
 4711 
 
 4763 
 
 4815 
 
 4867 
 
 4919 
 
 4971 
 
 5023 
 
 5075 
 
 5127 
 
 
 
 66 
 
 5179 
 
 5231 
 
 5282 
 
 5334 
 
 5386 
 
 5438 
 
 5490 
 
 5542 
 
 5594 
 
 5646 
 
 
 
 67 
 
 5698 
 
 5750 
 
 5801 
 
 5853 
 
 5905 
 
 5957 
 
 6009 
 
 6061 
 
 61 13 
 
 6165 
 
 
 
 68 
 
 6217 
 
 6269 
 
 6321 
 
 6372 
 
 6424 
 
 6476 
 
 6528 
 
 6580 
 
 6632 
 
 6684 
 
 
 
 69 
 
 6736 
 
 6788 
 
 6839 
 
 6891 
 
 6943 
 
 6995 
 
 7047 
 
 7099 
 
 7151 
 
 7203 
 
 
 
 8370 
 
 7255 
 
 7306 
 
 7358 
 
 7410 
 
 7462 
 
 7514 
 
 7566 
 
 7618 
 
 7670 
 
 7722 
 
 
 
 71 
 
 7773 
 
 7825 
 
 7877 
 
 7929 
 
 7981 
 
 8033 
 
 8085 
 
 8137 
 
 8188 
 
 8240 
 
 
 
 72 
 
 8292 
 
 8344 
 
 8396 
 
 8448 
 
 8500 
 
 8552 
 
 8603 
 
 8655 
 
 8707 
 
 8759 
 
 
 
 73 
 
 8811 
 
 8863 
 
 8915 
 
 8967 
 
 9018 
 
 9070 
 
 9122 
 
 9174 
 
 9226 
 
 9278 
 
 
 
 74 
 
 9330 
 
 9381 
 
 9433 
 
 9485 
 
 9537 
 
 9589 
 
 9641 
 
 9693 
 
 9744 
 
 9796 
 
 
 
 75 
 
 9848 
 
 9900 
 
 9952 
 
 0004 
 
 0056 
 
 0107 
 
 0159 
 
 0211 
 
 0263 
 
 0315 
 
 
 
 76 
 
 9230367 
 
 0419 
 
 0470 
 
 0522 
 
 0574 
 
 0626 
 
 0678 
 
 0730 
 
 0781 
 
 0833 
 
 
 
 77 
 
 0885 
 
 0937 
 
 0989 
 
 1041 
 
 1093 
 
 1144 
 
 1196 
 
 1248 
 
 1300 
 
 1352 
 
 
 
 78 
 
 1404 
 
 1455 
 
 1507 
 
 1559 
 
 1611 
 
 1663 
 
 1715 
 
 1766 
 
 1818 
 
 1870 
 
 
 
 79 
 
 1922 
 
 1974 
 
 2026 
 
 2077 
 
 2129 
 
 2181 
 
 2233 
 
 2285 
 
 2337 
 
 2388 
 
 
 
 8380 
 
 2440 
 
 2492 
 
 2544 
 
 2596 
 
 2647 
 
 2699 
 
 2751 
 
 2803 
 
 2855 
 
 2907 
 
 
 ^ 
 
 81 
 
 2958 
 
 3010 
 
 3062 
 
 3114 
 
 3166 
 
 3217 
 
 3269 
 
 3321 
 
 3373 
 
 3425 
 
 
 
 82 
 
 3477 
 
 3528 
 
 3580 
 
 3632 
 
 36S4 
 
 3736 
 
 3787 
 
 3839 
 
 3891 
 
 3943 
 
 
 
 83 
 
 3995 
 
 4046 
 
 4098 
 
 4150 
 
 4202 
 
 4254 
 
 4305 
 
 4357 
 
 4409 
 
 4461 
 
 
 
 84 
 
 4513 
 
 4564 
 
 4616 
 
 4668 
 
 4720 
 
 4772 
 
 4823 
 
 4875 
 
 4927 
 
 4979 
 
 
 
 85 
 
 5031 
 
 5082 
 
 5134 
 
 5186 
 
 5238 
 
 5290 
 
 5341 
 
 5393 
 
 5445 
 
 5497 
 
 
 
 86 
 
 5549 
 
 5600 
 
 5652 
 
 5704 
 
 5756 
 
 5808 
 
 5859 
 
 5911 
 
 5963 
 
 6015 
 
 
 
 87 
 
 6066 
 
 6118 
 
 6170 
 
 6222 
 
 6274 
 
 6325 
 
 6377 
 
 6429 
 
 6481 
 
 6532 
 
 
 
 88 
 
 6584 
 
 6636 
 
 6688 
 
 6740 
 
 6791 
 
 6843 
 
 6895 
 
 6947 
 
 6998 
 
 7050 
 
 
 
 89 
 
 7102 
 
 7154 
 
 7205 
 
 7257 
 
 7309 
 
 7361 
 
 7413 
 
 7464 
 
 7516 
 
 7568 
 
 
 
 8390 
 
 7620 
 
 7671 
 
 7723 
 
 7775 
 
 7827 
 
 7878 
 
 7930 
 
 7982 
 
 8034 
 
 8085 
 
 
 
 91 
 
 8137 
 
 8189 
 
 8241 
 
 8292 
 
 8344 
 
 8396 
 
 8448 
 
 8499 
 
 8551 
 
 8603 
 
 
 
 92 
 
 8655 
 
 8707 
 
 8758 
 
 8810 
 
 8862 
 
 8913 
 
 8965 
 
 9017 
 
 9069 
 
 9120 
 
 
 51 
 
 93 
 
 9172 
 
 9224 
 
 9276 
 
 9327 
 
 9379 
 
 9431 
 
 Q483 
 
 9534 
 
 9586 
 
 9638 
 
 
 1 
 
 5 
 
 94 
 
 9690 
 
 9741 
 
 9793 
 
 9845 
 
 9897 
 
 9948 
 
 0000 
 
 0052 
 
 0104 
 
 0155 
 
 
 2 
 3 
 
 10 
 15 
 
 95 
 
 9240207 
 
 0259 
 
 0310 
 
 0362 
 
 0414 
 
 0466 
 
 0517 
 
 0569 
 
 0621 
 
 067 3 
 
 
 4 
 
 20 
 
 96 
 
 0724 
 
 0776 
 
 0828 
 
 0879 
 
 0931 
 
 0983 
 
 1035 
 
 1086 
 
 1138 
 
 1190 
 
 
 6 
 
 26 
 
 97 
 
 1242 
 
 1293 
 
 1345 
 
 1397 
 
 1448 
 
 1500 
 
 1552 
 
 1604 
 
 1655 
 
 1707 
 
 
 6 
 7 
 
 31 
 36 
 41 
 
 98 
 
 1759 
 
 1810 
 
 1862 
 
 1914 
 
 1966 
 
 2017 
 
 2069 
 
 2121 
 
 2172 
 
 2224 
 
 
 99 
 
 . N. 
 
 2276 
 
 2328 
 . 1 
 
 2379 
 
 2 
 
 2431 
 
 2483 
 
 4 
 
 2534 
 
 2586 
 
 2638 
 
 2689 
 
 2741 
 
 D 
 
 9 
 
 46 
 
 
 
 3 
 
 5 
 
 6 
 
 7 
 
 8. 
 
 .9 
 
 P 
 
 ts. 
 
(154) LOGARITHMS N.84()L.924 
 
 N. 
 
 
 
 1 
 
 2 
 
 _3_ 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9_ 
 
 I) 
 
 Pro. 
 
 8400 
 
 9242793 
 
 2845 
 
 2896 
 
 2948 
 
 3000 
 
 3051 
 
 3103 
 
 3155 
 
 3206 
 
 3258 
 
 
 
 01 
 
 3310 
 
 3362 
 
 3413 
 
 3465 
 
 3517 
 
 3568 
 
 3620 
 
 3672 
 
 3723 
 
 3775 
 
 
 52 
 
 02 
 
 3827 
 
 3878 
 
 3930 
 
 3982 
 
 4034 
 
 4085 
 
 4137 
 
 4189 
 
 4240 
 
 4292 
 
 
 1 5 
 
 03 
 
 4344 
 
 4395 
 
 4447 
 
 4499 
 
 4550 
 
 4602 
 
 4654 
 
 4705 
 
 4757 
 
 4809 
 
 
 2 10 
 
 3 16 
 
 4 21 
 
 04 
 
 4860 
 
 4912 
 
 4964 
 
 5015 
 
 5067 
 
 5119 
 
 5170 
 
 5222 
 
 5274 
 
 5326 
 
 
 05 
 
 5377 
 
 5429 
 
 5481 
 
 5532 
 
 5584 
 
 5636 
 
 5687 
 
 5739 
 
 5791 
 
 5842 
 
 
 5 26- 
 
 06 
 
 5894 
 
 5946 
 
 5997 
 
 6049 
 
 6101 
 
 6152 
 
 6204 
 
 6255 
 
 6307 
 
 6359 
 
 
 631 
 
 7 36 
 
 8 42 
 
 07 
 
 6410 
 
 6462 
 
 6514 
 
 6565 
 
 6617 
 
 6669 
 
 6720 
 
 6772 
 
 6824 
 
 6875 
 
 
 08 
 
 6927 
 
 6979 
 
 7030 
 
 7082 
 
 7134 
 
 7185 
 
 7237 
 
 7289 
 
 7340 
 
 7392 
 
 
 9 47 
 
 09 
 
 7444 
 
 7495 
 
 7547 
 
 7598 
 
 7650 
 
 7702 
 
 7753 
 
 7805 
 
 7857 
 
 7908 
 
 
 
 8410 
 
 7960 
 
 8012 
 
 8063 
 
 8115 
 
 ■8167 
 
 8218 
 
 8270 
 
 8321 
 
 8373 
 
 8425 
 
 
 
 J I 
 
 8476 
 
 8528 
 
 8580 
 
 8631 
 
 8683 
 
 8734 
 
 8786 
 
 8838 
 
 8889 
 
 8941 
 
 
 
 12 
 
 8993 
 
 9044 
 
 9096 
 
 9148 
 
 9199 
 
 925 1 
 
 9302 
 
 9354 
 
 9406 
 
 9457 
 
 
 
 13 
 
 9509 
 
 9561 
 
 9612 
 
 9664 
 
 9715 
 
 9767 
 
 9819 
 
 9870 
 
 9922 
 
 9973 
 
 
 
 14 
 
 9250025 
 
 0077 
 
 0128 
 
 0180 
 
 0232 
 
 0283 
 
 0335 
 
 0386 
 
 0438 
 
 0490 
 
 
 
 15 
 
 0541 
 
 0593 
 
 0644 
 
 0696 
 
 0748 
 
 0799 
 
 0851 
 
 0902 
 
 0954 
 
 1006 
 
 
 
 16 
 
 1057 
 
 1109 
 
 1160 
 
 1212 
 
 1264 
 
 1315 
 
 1367 
 
 1418 
 
 1470 
 
 1522 
 
 
 
 17 
 
 1573 
 
 1625 
 
 1676 
 
 1728 
 
 1780 
 
 1831 
 
 1883 
 
 1934 
 
 1986 
 
 2038 
 
 
 
 18 
 
 2089 
 
 2141 
 
 2192 
 
 2244 
 
 2296 
 
 2347 
 
 2399 
 
 2450 
 
 2502 
 
 2554 
 
 
 
 19 
 
 2605 
 
 2657 
 
 2708 
 
 2760 
 
 2811 
 
 2863 
 
 2915 
 
 2966 
 
 3018 
 
 3069 
 
 
 
 8420 
 
 3121 
 
 3172 
 
 3224 
 
 3276 
 
 3327 
 
 3379 
 
 3430 
 
 3482 
 
 3534 
 
 3585 
 
 
 
 21 
 
 3637 
 
 3688 
 
 3740 
 
 3791 
 
 3843 
 
 3895 
 
 3946 
 
 3998 
 
 4049 
 
 4101 
 
 
 
 22 
 
 4152 
 
 4204 
 
 4256 
 
 4307 
 
 4359 
 
 4410 
 
 4462 
 
 4513 
 
 4565 
 
 4616 
 
 
 
 23 
 
 4668 
 
 4720 
 
 4771 
 
 4823 
 
 4874 
 
 4926 
 
 4977 
 
 5029 
 
 5080 
 
 5132 
 
 
 
 24 
 
 5184 
 
 5235 
 
 5287 
 
 5338 
 
 5390 
 
 5441 
 
 5493 
 
 5544 
 
 5596 
 
 5648 
 
 
 
 25 
 
 5699 
 
 5751 
 
 5802 
 
 5854 
 
 5905 
 
 5957 
 
 6008 
 
 6060 
 
 6111 
 
 6163 
 
 
 
 26 
 
 G215 
 
 6266 
 
 6318 
 
 6369 
 
 6421 
 
 6472 
 
 6524 
 
 6575 
 
 6627 
 
 6678 
 
 
 
 27 
 
 6730 
 
 6781 
 
 6833 
 
 6885 
 
 6936 
 
 6988 
 
 7039 
 
 7091 
 
 7142 7194 
 
 
 
 28 
 
 7245 
 
 7297 
 
 7348 
 
 7400 
 
 7451 
 
 7503 
 
 7554 
 
 7606 
 
 7657 7709 
 
 
 
 29 
 
 7761 
 
 7812 
 
 7864 
 
 7915 
 
 7967 
 
 8018 
 
 8070 
 
 8121 
 
 8173 8224 
 
 
 
 8430 
 
 8276 
 
 8327 
 
 8379 
 
 8430 
 
 8482 
 
 8533 
 
 8585 
 
 8636 
 
 8688 8739 
 
 
 
 31 
 
 8791 
 
 8842 
 
 8894 
 
 8945 
 
 8997 
 
 9048 
 
 9100 
 
 9151 
 
 9203 
 
 9254 
 
 
 
 32 
 
 9306 
 
 9357 
 
 9409 
 
 9460 
 
 9512 
 
 9563 
 
 9615 
 
 9667 
 
 9718 
 
 9770 
 
 
 
 33 
 
 9821 
 
 9873 
 
 9924 
 
 9975 
 
 5027 
 
 0078 
 
 0130 
 
 0181 
 
 0233 
 
 0284 
 
 
 
 34 
 
 9260336 
 
 0387 
 
 0439 
 
 0490 
 
 0542 
 
 0593 
 
 0645 
 
 0696 
 
 0748 
 
 0799 
 
 
 
 35 
 
 0851 
 
 0902 
 
 0954 
 
 1005 
 
 1057 
 
 1108 
 
 1160 
 
 1211 
 
 1263 
 
 1314 
 
 
 
 36 
 
 1366 
 
 1417 
 
 1469 
 
 1520 
 
 1572 
 
 1623 
 
 1675 
 
 1726 
 
 1778 
 
 1829 
 
 
 
 37 
 
 1880 
 
 1932 
 
 1983 
 
 2035 
 
 2086 
 
 2138 
 
 2189 
 
 2241 
 
 2292 
 
 2344 
 
 
 
 38 
 
 2395 
 
 2447 
 
 2498 
 
 2550 
 
 2601 
 
 2653 
 
 2704 
 
 2755 
 
 2807 
 
 2858 
 
 
 
 39 
 
 2910 
 
 2961 
 
 3013 
 
 3064 
 
 3116 
 
 3167 
 
 3219 
 
 3270 
 
 3322 
 
 3373 
 
 
 
 8440 
 
 3424 
 
 3476 
 
 3527 
 
 3579 
 
 3630 
 
 3682 
 
 3733 
 
 3785 
 
 3836 
 
 3888 
 
 
 
 41 
 
 3939 
 
 3990 
 
 4042 
 
 4093 
 
 4145 
 
 4196 
 
 4248 
 
 4299 
 
 4351 
 
 4402 
 
 
 
 42 
 
 4453 
 
 4505 
 
 4556 
 
 4608 
 
 4659 
 
 4711 
 
 4762 
 
 4814 
 
 4865 
 
 4916 
 
 
 51 
 
 43 
 
 4968 
 
 5019 
 
 5071 
 
 5122 
 
 5174 
 
 5225 
 
 5277 
 
 5328 
 
 5379 
 
 5431 
 
 
 1 5 
 
 44 
 
 5482 
 
 5534 
 
 5585 
 
 5637 
 
 5688 
 
 5739 
 
 5791 
 
 5842 
 
 5894 
 
 5945 
 
 
 2 10 
 
 3 15 
 
 45 
 
 5997 
 
 6048 
 
 6099 
 
 6151 
 
 6202 
 
 6254 
 
 6305 
 
 6357 
 
 6408 
 
 6459 
 
 
 4 20 
 
 46 
 
 6511 
 
 6562 
 
 6614 
 
 6665 
 
 6716 
 
 6768 
 
 6819 
 
 6871 
 
 6922 
 
 6974 
 
 
 5 26 
 
 47 
 
 7025 
 
 7076 
 
 7128 
 
 7179 
 
 7231 
 
 7282 
 
 7333 
 
 7385 
 
 7436 
 
 7488 
 
 
 631 
 841 
 
 48 
 
 7539 
 
 7590 
 
 7642 
 
 7693 
 
 7745 
 
 7796 
 
 7S47 
 
 7899 
 
 7950 
 
 8002 
 
 
 49 
 
 N. 
 
 8053 
 
 8105 
 1 
 
 8156 
 2 
 
 8207 
 
 3 
 
 8259 
 
 4 
 
 8310 8362| 
 
 8413 
 7 
 
 8464 
 8 
 
 8516 
 
 9 
 
 D 
 
 9 46 
 
 Pts. 
 
 
 
 5 
 
 6 1 
 
N.845 L .9 
 
 26 
 
 
 OF NUMBERS. 
 
 
 
 
 Al 
 
 55) 
 
 8450 
 
 
 
 ) 26 8 5 67 
 
 1 
 S618 
 
 2 
 
 3 
 
 8721 
 
 4 
 
 8773 
 
 5 
 
 6 
 
 8875 
 
 7 
 
 8927 
 
 8 
 
 8978 
 
 9 
 
 9030 
 
 u 
 
 Pro. 
 
 8670 
 
 8824 
 
 51 
 
 9081 
 
 0132 
 
 9184 
 
 9235 
 
 9287 
 
 9338 
 
 9389 
 
 9441 
 
 9492 
 
 9543 
 
 
 52 
 
 52 
 
 95,95 
 
 9646 
 
 9698 
 
 9749 
 
 9800 
 
 9852 
 
 9903 
 
 9955 
 
 0006 
 
 0057 
 
 
 1 
 
 5 
 
 53 
 
 9270109 
 
 0160 
 
 0211 
 
 0263 
 
 0314 
 
 0366 
 
 0417 
 
 0468 
 
 0520 
 
 0571 
 
 
 2 
 
 3 
 4 
 
 10 .. 
 
 2\ 
 
 54 
 
 0622 
 
 0674 
 
 0725 
 
 0777 
 
 0828 
 
 0879 
 
 0931 
 
 0982 
 
 1033 
 
 1085 
 
 
 55 
 
 1136 
 
 1)87 
 
 1239 
 
 1290 
 
 1342 
 
 1393 
 
 1444 
 
 1496 
 
 1547 
 
 1598 
 
 
 5 
 
 26 
 
 56 
 
 1650 
 
 1701 
 
 1752 
 
 1804 
 
 1855 
 
 1907 
 
 1958 
 
 2009 
 
 2061 
 
 2112 
 
 
 6' 
 7 
 g 
 
 36 
 42 
 
 57 
 
 2163 
 
 2215 
 
 2266 
 
 2317 
 
 2369 
 
 2420 
 
 2471 
 
 2523 
 
 2574 
 
 2625 
 
 
 58 
 
 2677 
 
 2728 
 
 2780 
 
 2831 
 
 2882 
 
 2934 
 
 2985 
 
 3036 
 
 3088 
 
 3139 
 
 
 9 
 
 47 
 
 59 
 
 3190 
 
 3242 
 
 3293 
 
 3344 
 
 3396 
 
 3447 
 
 3498 
 
 3550 
 
 3601 
 
 3652 
 
 
 
 8460 
 
 3701. 
 
 3755 
 
 3806 
 
 3858 
 
 3909 
 
 3960 
 
 4012 
 
 4063 
 
 4114 
 
 4166 
 
 
 
 61 
 
 4217 
 
 4268 
 
 4320 
 
 4371 
 
 4422 
 
 4474 
 
 4525 
 
 4576 
 
 4628 
 
 4679 
 
 
 
 62 
 
 4730 
 
 4782 
 
 4833 
 
 4884 
 
 4935 
 
 4987 
 
 5038 
 
 5089 
 
 5141 
 
 5192 
 
 
 
 63 
 
 5243 
 
 5295 
 
 5346 
 
 5397 
 
 5449 
 
 5500 
 
 5551 
 
 5603 
 
 5654 
 
 5705 
 
 
 
 64 
 
 5757 
 
 5808 
 
 5859 
 
 5910 
 
 5962 
 
 6013 
 
 6064 
 
 6116 
 
 6167 
 
 6218' 
 
 
 
 65 
 
 6270 
 
 6321 
 
 6372 
 
 6424 
 
 6475 
 
 6526 
 
 6577 
 
 6629 
 
 6680 
 
 6731 
 
 
 
 66 
 
 6783 
 
 6834 
 
 6885 
 
 6937 
 
 6988 
 
 7039 
 
 7090 
 
 7142 
 
 7193 
 
 7244 
 
 
 
 67 
 
 7296 
 
 7347 
 
 7398 
 
 7449 
 
 7501 
 
 7552 
 
 7603 
 
 7655 
 
 7706 
 
 7757 
 
 
 
 68 
 
 7808 
 
 7860 
 
 7911 
 
 7962 
 
 8014 
 
 8065 
 
 8116 
 
 8167 
 
 8219 
 
 8270 
 
 
 
 69 
 
 8321 
 
 8373 
 
 8424 
 
 8475 
 
 8526 
 
 8578 
 
 8629 
 
 8680 
 
 8732 
 
 8783 
 
 
 
 8470 
 
 8834 
 
 8885 
 
 8937 
 
 8988 
 
 9039 
 
 9090 
 
 9142 
 
 9193 
 
 9244 
 
 9296 
 
 
 
 71 
 
 9347 
 
 9398 
 
 9449 
 
 9501 
 
 9552 
 
 9603 
 
 9654 
 
 9706 
 
 9757 
 
 9808 
 
 
 
 72 
 
 9859 
 
 9911 
 
 9962 
 
 0013 
 
 0065 
 
 0116 
 
 0167 
 
 0218 
 
 0270 
 
 0321 
 
 
 
 73 
 
 9280372 
 
 0423 
 
 0475 
 
 0526 
 
 0577 
 
 0628 
 
 0680 
 
 0731 
 
 0782 
 
 0833 
 
 
 
 74 
 
 0885 
 
 0936 
 
 0987 
 
 1038 
 
 1090 
 
 1141 
 
 1192 
 
 1243 
 
 1295 
 
 1346 
 
 
 
 75 
 
 1397 
 
 1448 
 
 1500 
 
 1551 
 
 1602 
 
 1653 
 
 1705 
 
 1756 
 
 1807 
 
 185S 
 
 
 
 76 
 
 1909 
 
 1961 
 
 2012 
 
 2063 
 
 2114 
 
 2166 
 
 2217 
 
 2268 
 
 2319 
 
 2371 
 
 
 
 77 
 
 2422 
 
 2473 
 
 2524 
 
 2576 
 
 2627 
 
 2678 
 
 2729 
 
 2780 
 
 2832 
 
 2883 
 
 
 
 78 
 
 2934 
 
 2985 
 
 3037 
 
 3088 
 
 3139 
 
 3190 
 
 3241 
 
 3293 
 
 3344 
 
 3395 
 
 
 
 79 
 
 3446 
 
 3498 
 
 3549 
 
 3600 
 
 3651 
 
 3702 
 
 3754 
 
 3805 
 
 3856 
 
 3907 
 
 
 
 8480 
 
 3959 
 
 4010 
 
 4061 
 
 4112 
 
 4163 
 
 4215 
 
 4266 
 
 4317 
 
 4368 
 
 4419 
 
 
 
 81 
 
 4471 
 
 4522 
 
 4573 
 
 4621 
 
 4675 
 
 4727 
 
 4778 
 
 4829 
 
 4880 
 
 4931 
 
 
 
 82 
 
 4983 
 
 5034 
 
 5085 
 
 5136 
 
 5187 
 
 5239 
 
 5290 
 
 5341 
 
 5392 
 
 5443 
 
 
 
 83 
 
 5495 
 
 5546 
 
 5597 
 
 5648 
 
 5699 
 
 5751 
 
 5802 
 
 5853 
 
 5904 
 
 5955 
 
 
 
 84 
 
 6007 
 
 6058 
 
 6109 
 
 .6160 
 
 6211 
 
 6263 
 
 6314 
 
 6365 
 
 6416 
 
 6467 
 
 
 
 85 
 
 6518 
 
 6570 
 
 6621 
 
 6672 
 
 6723 
 
 6774 
 
 6826 
 
 6877 
 
 6928 
 
 6979 
 
 
 
 86 
 
 7030 
 
 7081 
 
 7133 
 
 7184 
 
 7235 
 
 7286 
 
 7337 
 
 7389 
 
 7440 
 
 7491 
 
 
 
 87 
 
 7542 
 
 7593 
 
 7644 
 
 7696 
 
 7747 
 
 7798 
 
 7849 
 
 79bO 
 
 7951 
 
 8003 
 
 
 
 88 
 
 8054 
 
 8105 
 
 8156 
 
 8207 
 
 8258 
 
 8310 
 
 8361 
 
 8412 
 
 8463 
 
 8514 
 
 
 
 89 
 
 8565 
 
 8616 
 
 8668 
 
 8719 
 
 8770 
 
 8821 
 
 8872 
 
 8923 
 
 8975 
 
 9026 
 
 
 
 8490 
 
 9077 
 
 9128 
 
 9179 
 
 9230 
 
 9282 
 
 9333 
 
 9384 
 
 9435 
 
 9486 
 
 9537 
 
 
 
 91 
 
 9588 
 
 9640 
 
 9691 
 
 9742 
 
 9793 
 
 9844 
 
 9895 
 
 9946 
 
 9998 
 
 0049 
 
 
 
 92 
 
 9290100 
 
 0151 
 
 0202 
 
 0253 
 
 0304 
 
 0356 
 
 0407 
 
 0458 
 
 0509 
 
 0560 
 
 
 51 
 
 93 
 
 0611 
 
 0662 
 
 0714 
 
 0765 
 
 0816 
 
 0867 
 
 0918 
 
 0969 
 
 1020 
 
 1071 
 
 
 1 
 
 (^ 
 
 94 
 
 1123 
 
 1174 
 
 1225 
 
 1276 
 
 1327 
 
 1378 
 
 1429 
 
 1480 
 
 1532 
 
 1583 
 
 
 2 
 3 
 
 10 
 15 
 
 95 
 
 1634 
 
 1685 
 
 1736 
 
 1787 
 
 1838 
 
 1889 
 
 1941 
 
 1992 
 
 2043 
 
 2094 
 
 
 4 
 
 20 
 
 96 
 
 2145 
 
 2196 
 
 2247 
 
 2298 
 
 2350 
 
 2401 
 
 2452 
 
 2503 
 
 2554 
 
 2605 
 
 
 5 
 
 26 
 
 97 
 
 2656 
 
 2707 
 
 2758 
 
 2810 
 
 2861 
 
 2912 
 
 2963 
 
 3014 
 
 3065 
 
 3116 
 
 
 6 
 
 7 
 8 
 
 31 
 36 
 41 
 
 98 
 
 3167 
 
 3218 
 
 3269 
 
 3321 
 
 3372 
 
 3423 
 
 3474 
 
 3525 
 
 3576 
 
 3627 
 
 
 99 
 
 N.I 
 
 3678 
 
 3729 
 1 
 
 3780 
 2 
 
 3832 
 
 3 
 
 3883 
 
 4 
 
 3934 
 
 3985 
 
 6 
 
 4036 
 
 7 
 
 4087 
 
 8 
 
 4138 
 
 9 
 
 D 
 
 9 
 
 46 
 
 
 
 \ 
 
 »ts. 
 
 2X2 
 
{\56) * LOGARITHMS N. 850 L. 9^9 
 
 N. 
 
 S500 
 
 
 
 1 
 
 1-24C 
 
 429*1 
 
 3 
 
 4343 
 
 4 
 
 4394 
 
 5 
 
 44 1-5 
 
 6 
 
 4496 
 
 1 ^ 
 4547 
 
 8 
 
 4598 
 
 9 
 
 4649 
 
 1) 
 
 Pro. 
 
 9294189 
 
 01 
 
 4700 
 
 4751 
 
 4802 
 
 4853 
 
 4905 
 
 4956 
 
 5007 
 
 5058 
 
 5109 
 
 5160 
 
 
 52 
 
 02 
 
 52II 
 
 5262 
 
 5313 
 
 5364 
 
 5415 
 
 5466 
 
 5517 
 
 5569 
 
 5620 
 
 5671 
 
 
 1 5 
 
 03 
 
 5722 
 
 3773 
 
 5824 
 
 5875 
 
 5926 
 
 5977 
 
 6028 
 
 6079 
 
 6130 
 
 6181 
 
 
 2 10 
 
 3 16 
 
 4 21 
 
 04 
 
 6233 
 
 6284 
 
 i5'3'i5 
 
 Q3SQ 
 
 6437 
 
 6488 
 
 6539 
 
 6590 
 
 6641 
 
 6692 
 
 
 05 
 
 6743 
 
 6794 
 
 6845 
 
 6896 
 
 6947 
 
 6998 
 
 7050 
 
 7101 
 
 7152 
 
 7203 
 
 
 5 26 
 
 06 
 
 7254 
 
 7305 
 
 7356 
 
 7407 
 
 7458 
 
 7509 
 
 7560 
 
 7611 
 
 7662 
 
 7713 
 
 
 6 31 
 
 7 36 
 
 8 42 
 
 07 
 
 7764 
 
 7815 
 
 7866 
 
 7917 
 
 7969 
 
 8020 
 
 8071 
 
 8122 
 
 8173 
 
 8224 
 
 
 08 
 
 8275 
 
 8326 
 
 8377 
 
 8428 
 
 8479 
 
 8530 
 
 8581 
 
 8632 
 
 8683 
 
 8734 
 
 
 9 47 
 
 09 
 
 .8785 
 
 8836 
 
 8887 
 
 8938 
 
 8989 
 
 9040 
 
 9091 
 
 9142 
 
 9194 
 
 9245 
 
 
 
 8510 
 
 9296 
 
 9347 
 
 9398 
 
 9449 
 
 9500 
 
 9551 
 
 9602 
 
 9653 
 
 9704 
 
 9755 
 
 
 
 11 
 
 9806 
 
 9857 
 
 9908 
 
 9959 
 
 0010 
 
 0031 
 
 0112 
 
 0163 
 
 0214 
 
 0265 
 
 
 
 12 
 
 9300316 
 
 0367 
 
 0418 
 
 0469 
 
 0520 
 
 0571 
 
 0622 
 
 0673 
 
 0724 
 
 0775 
 
 
 
 13 
 
 0826 
 
 0877 
 
 0928 
 
 0979 
 
 1030 
 
 1081 
 
 1132 
 
 1183 
 
 1234 
 
 1285 
 
 
 
 14 
 
 1336 
 
 1387 
 
 1438 
 
 1489 
 
 1540 
 
 1591 
 
 1643 
 
 1694 
 
 1745 
 
 1796 
 
 51 
 
 
 15 
 
 1847 
 
 1898 
 
 1949 
 
 2000 
 
 2051 
 
 2102 
 
 2153 
 
 2204 
 
 2255 
 
 2306 
 
 
 
 16 
 
 2357 
 
 2408 
 
 2459 
 
 2510 
 
 2561 
 
 2612 
 
 2663 
 
 2713 
 
 2764 
 
 2815 
 
 
 
 17 
 
 2866 
 
 2917 
 
 2968 
 
 3019 
 
 3070 
 
 3121 
 
 3172 
 
 3223 
 
 3274 
 
 3325 
 
 
 
 IS 
 
 3376 
 
 3427 
 
 3478 
 
 3529 
 
 3580 
 
 3631 
 
 3682 
 
 3733 
 
 3784 
 
 3S35 
 
 
 
 19 
 
 3886 
 
 3937 
 
 ^988 
 
 4039 
 
 4090 
 
 4141 
 
 4192 
 
 4243 
 
 4294 
 
 4345 
 
 
 
 8520 
 
 4396 
 
 4447 
 
 4498 
 
 4549 
 
 4600 
 
 4651 
 
 4702 
 
 4753 
 
 4804 
 
 4855 
 
 
 
 21 
 
 4906 
 
 4957 
 
 5008 
 
 5059 
 
 5110 
 
 5160 
 
 5211 
 
 5262 
 
 5313 
 
 5364 
 
 
 
 22 
 
 5415 
 
 5466 
 
 5517 
 
 5568 
 
 5619 
 
 5670 
 
 5721 
 
 5772 
 
 5823 
 
 5874 
 
 
 
 23 
 
 5925 
 
 5976 
 
 6027 
 
 6078 
 
 6129 
 
 6180 
 
 6231 
 
 6282 
 
 6333 
 
 6383 
 
 
 
 24 
 
 6434 
 
 6485 
 
 Q5SQ 
 
 6587 
 
 6038 
 
 6689 
 
 6740 
 
 6791 
 
 6842 
 
 6893 
 
 
 
 25 
 
 6944 
 
 6995 
 
 7046 
 
 7097 
 
 7148 
 
 7199 
 
 7250 
 
 7300 
 
 7351 
 
 7402 
 
 
 
 26 
 
 7453 
 
 7504 
 
 7555 
 
 7606 
 
 7657 
 
 7708 
 
 7759 
 
 7810 
 
 7861 
 
 7912 
 
 
 
 27 
 
 7963 
 
 8014 
 
 8064 
 
 8115 
 
 8166 
 
 8217 
 
 8268 
 
 8319 
 
 8370 
 
 8421 
 
 
 
 28 
 
 8472 
 
 8523 
 
 8574 
 
 8625 
 
 8676 
 
 8727 
 
 8777 
 
 8828 
 
 8879 
 
 8930 
 
 
 
 29 
 
 8981 
 
 9032 
 
 9083 
 
 9134 
 
 9185 
 
 9236 
 
 9287 
 
 9338 
 
 9388 
 
 9439 
 
 
 
 8530 
 
 9490 
 
 9541 
 
 9592 
 
 9643 
 
 9694 
 
 9745 
 
 9796 
 
 9847 
 
 9898 
 
 9949 
 
 
 
 31 
 
 9999 
 
 0050 
 
 0101 
 
 0152 
 
 0203 
 
 0254 
 
 0305 
 
 0356 
 
 0407 
 
 0458 
 
 
 
 32 
 
 9310508 
 
 0559 
 
 0610 
 
 0661 
 
 0712 
 
 0763 
 
 0814 
 
 0865 
 
 0916 
 
 0967 
 
 
 
 33 
 
 1017 
 
 1068 
 
 1119 
 
 1170 
 
 1221 
 
 1272 
 
 1323 
 
 1374 
 
 1425 
 
 1475 
 
 
 
 34. 
 
 1526 
 
 1577 
 
 1628 
 
 1679 
 
 1730 
 
 1781 
 
 1832 
 
 1883 
 
 1933 
 
 1984 
 
 
 
 35 
 
 2035 
 
 2086 
 
 2137 
 
 2188 
 
 2239 
 
 2290 
 
 2341 
 
 2391 
 
 2442 
 
 2493 
 
 
 
 $Q 
 
 2544 
 
 2595 
 
 2646 
 
 2697 
 
 2748 
 
 2798 
 
 2849 
 
 2900 
 
 2951 
 
 3002 
 
 
 
 37 
 
 3053 
 
 3104 
 
 3155 
 
 3205 
 
 3256 
 
 3307 
 
 3358 
 
 3409 
 
 3460 
 
 3511 
 
 
 
 38 
 
 3562 
 
 3612 
 
 3663 
 
 3714 
 
 3765 
 
 3816 
 
 3867 
 
 3918 
 
 3968 
 
 4019 
 
 
 
 39 
 
 4070 
 
 4121 
 
 4172 
 
 4223 
 
 4274 
 
 4324 
 
 4375 
 
 4426 
 
 4477 
 
 4528 
 
 
 
 8540 
 
 4579 
 
 4630 
 
 4680 
 
 4731 
 
 4782 
 
 4833 
 
 4884 
 
 4935 
 
 4986 
 
 5036 
 
 
 
 41 
 
 5087 
 
 5138 
 
 5189 
 
 5240 
 
 5291 
 
 5341 
 
 5392 
 
 5443 
 
 5494 
 
 5545 
 
 
 
 42 
 
 5596 
 
 5647 
 
 5697 
 
 5748 
 
 5799 
 
 5850 
 
 5901 
 
 5952 
 
 6002 
 
 6053 
 
 
 51 
 
 43 
 
 6104 
 
 6155 
 
 6206 
 
 6257 
 
 6307 
 
 6358 
 
 6409 
 
 6460 
 
 6511 
 
 6562 
 
 
 1 5 
 
 44 
 
 6612 
 
 6663 
 
 6714 
 
 6765 
 
 6S16 
 
 6867 
 
 6917 
 
 6968 
 
 7019 
 
 7070 
 
 
 2 10 
 
 3 15 
 
 45 
 
 7121 
 
 7171 
 
 7222 
 
 7273 
 
 7324 
 
 7375 
 
 7426 
 
 7476 
 
 7527 
 
 7578 
 
 
 4 20 
 
 46 
 
 7029 
 
 7680 
 
 7731 
 
 7781 
 
 7832 
 
 7883 
 
 7934 
 
 7985 
 
 8035 
 
 8086 
 
 
 5 26 
 
 47 
 
 8137 
 
 8188 
 
 8239 
 
 8289 
 
 8340 
 
 8391 
 
 8442 
 
 8493 
 
 S544 
 
 8594 
 
 
 631 
 7 36 
 
 8'4I 
 
 48 
 
 8645 
 
 8696 
 
 8747 
 
 8798 
 
 8848 
 
 8899 
 
 8950 
 
 )001 
 
 )052 
 
 9102 
 
 
 49 
 
 9153 
 
 9204 
 
 9255 
 
 9306 
 
 9356 
 
 9407 
 
 9458 9509|9560| 
 
 9610 
 
 
 9146 
 
 N. 
 
 
 
 ~T" 
 
 2 
 
 3 
 
 4 
 
 5 6 7 1 8 1 
 
 9 D I Pts. 
 
l\.855L.931 OF NUMBERS. (1'57)[ 
 
 N. 
 
 85.50 
 
 
 
 1 
 
 9712 
 
 2 
 9763 
 
 3 
 
 9814 
 
 4 
 
 9864 
 
 5 
 
 9915 
 
 6 
 
 7 
 
 0017 
 
 8 
 
 0067 
 
 9 
 
 0118 
 
 D 
 
 Pro. 
 
 9319661 
 
 9966 
 
 51 
 
 932016^ 
 
 0220 
 
 0271 
 
 0321 
 
 0372 
 
 0423 
 
 0474 
 
 0525 
 
 0575 
 
 0626 
 
 
 51 
 
 52 
 
 0677 
 
 0728 
 
 0778 
 
 f)829 
 
 0880 
 
 0931 
 
 0982 
 
 1032 
 
 1083 
 
 1134 
 
 
 1 
 
 5 
 
 53 
 
 1185 
 
 1235 
 
 1286 
 
 1337 
 
 1388 
 
 1439 
 
 1489 
 
 1540 
 
 1591 
 
 1642 
 
 
 2 
 3 
 4 
 
 10 
 15 
 20 
 
 54 
 
 1692 
 
 1743 
 
 1794 
 
 1845 
 
 1896 
 
 1946 
 
 1997 
 
 2048 
 
 2099 
 
 2149 
 
 
 55 
 
 2200 
 
 2251 
 
 2302 
 
 2352 
 
 2403 
 
 2454 
 
 2505 
 
 2555 
 
 2606 
 
 2657 
 
 
 5 
 
 26 
 
 56 
 
 2708 
 
 2759 
 
 2809 
 
 2860 
 
 2911 
 
 2962 
 
 3012 
 
 3063 
 
 3114 
 
 3165 
 
 
 6 
 
 7 
 8 
 
 31 
 36 
 41 
 
 51 
 
 3215 
 
 3266 
 
 3317 
 
 3368 
 
 3418 
 
 3469 
 
 3520 
 
 3571 
 
 3621 
 
 3672 
 
 
 58 
 
 3723 
 
 3774 
 
 3824 
 
 3875 
 
 3926 
 
 3977 
 
 4027 
 
 4078 
 
 4129 
 
 4180 
 
 
 9 
 
 46 
 
 59 
 
 4230 
 
 4281 
 
 4332 
 
 4382 
 
 4433 
 
 4484 
 
 4535 
 
 4585 
 
 4636 
 
 4687 
 
 
 
 8560 
 
 4738 
 
 4788 
 
 4839 
 
 4890 
 
 4941 
 
 4991 
 
 5042 
 
 5093 
 
 5144 
 
 5194 
 
 
 
 61 
 
 5245 
 
 5296 
 
 5346 
 
 5397 
 
 5448 
 
 5499 
 
 5549 
 
 5600 
 
 5651 
 
 5702 
 
 
 
 62 
 
 5752 
 
 5803 
 
 5854 
 
 5904 
 
 5955 
 
 6006 
 
 6057 
 
 6107 
 
 6158 
 
 6209 
 
 
 
 63 
 
 6259 
 
 6310 
 
 6361 
 
 6412 
 
 6462 
 
 6513 
 
 6564 
 
 6614 
 
 mQ5 
 
 6716 
 
 
 
 64 
 
 6767 
 
 6817 
 
 6868 
 
 6919 
 
 6969 
 
 7020 
 
 7071 
 
 7122 
 
 7172 
 
 7223 
 
 
 
 65 
 
 7274 
 
 7324 
 
 7375 
 
 7426 
 
 7476 
 
 7527 
 
 7578 
 
 7629 
 
 7679 
 
 7730 
 
 
 
 66 
 
 7781 
 
 7831 
 
 7882 
 
 7933 
 
 7983 
 
 8034 
 
 8085 
 
 8136 
 
 8186 
 
 8237 
 
 
 
 67 
 
 8288 
 
 8338 
 
 8389 
 
 8440 
 
 8490 
 
 8541 
 
 8592 
 
 8643 
 
 8693 
 
 8744 
 
 
 
 68 
 
 8795 
 
 8845 
 
 8896 
 
 8947 
 
 8997 
 
 9048 
 
 909J? 
 
 9149 
 
 9200 
 
 9251 
 
 
 
 69 
 
 9301 
 
 9352 
 
 9403 
 
 9453 
 
 9504 
 
 9555 
 
 9606 
 
 9656 
 
 9707 
 
 9758 
 
 
 
 8570 
 
 9808 
 
 9859 
 
 9910 
 
 9960 
 
 Uoii 
 
 0062 
 
 0112 
 
 0163 
 
 0214 
 
 0264 
 
 
 
 71 
 
 9330315 
 
 0366 
 
 0416 
 
 0467 
 
 0518 
 
 0568 
 
 0619 
 
 0670 
 
 0720 
 
 0771 
 
 
 
 72 
 
 0822 
 
 0872 
 
 0923 
 
 0974 
 
 1024 
 
 1075 
 
 1126 
 
 1176 
 
 1227 
 
 1278 
 
 
 
 73 
 
 1328 
 
 1379 
 
 1430 
 
 1480 
 
 1531 
 
 1582 
 
 1632 
 
 1683 
 
 1733 
 
 1784 
 
 
 
 74 
 
 1835 
 
 1885 
 
 1936 
 
 1987 
 
 2037 
 
 2088 
 
 2139 
 
 2189 
 
 2240 
 
 2291 
 
 
 
 75 
 
 2341 
 
 2392 
 
 2443 
 
 2493 
 
 2544 
 
 2595 
 
 2645 
 
 2696 
 
 2746 
 
 2797 
 
 
 
 76 
 
 2848 
 
 2898 
 
 2949 
 
 3000 
 
 3050 
 
 3101 
 
 3152 
 
 3202 
 
 3253 
 
 3303 
 
 
 
 77 
 
 3354 
 
 3405 
 
 3455 
 
 3506 
 
 3557 
 
 3607 
 
 3658 
 
 3709 
 
 3759 
 
 3810 
 
 
 
 78 
 
 3860 
 
 3911 
 
 3962 
 
 4012 
 
 4063 
 
 4114 
 
 4164 
 
 4215 
 
 4265 
 
 4316 
 
 
 
 79 
 
 4367 
 
 4417 
 
 4468 
 
 4519 
 
 4569 
 
 4620 
 
 4670 
 
 4721 
 
 4772 
 
 4822 
 
 
 
 8580 
 
 487 3 
 
 4923 
 
 4974 
 
 5025 
 
 5075 
 
 5126 
 
 5177 
 
 5227 
 
 5278 
 
 5328 
 
 
 
 81 
 
 5379 
 
 5430 
 
 5480 
 
 5531 
 
 5581 
 
 5632 
 
 5683 
 
 5733 
 
 5784 
 
 5834 
 
 
 
 82 
 
 5885 
 
 5936 
 
 5986 
 
 6037 
 
 6088 
 
 6138 
 
 6189 
 
 6239 
 
 6290 
 
 6341 
 
 
 
 83 
 
 6391 
 
 6442 
 
 6492 
 
 6543 
 
 6594 
 
 6644 
 
 6695 
 
 6745 
 
 6796 
 
 6846 
 
 
 
 84 
 
 6897 
 
 6948 
 
 6998 
 
 7049 
 
 7099 
 
 7150 
 
 7201 
 
 7251 
 
 7302 
 
 7352 
 
 
 
 85 
 
 7403 
 
 7454 
 
 7504 
 
 7555 
 
 7605 
 
 7656 
 
 7707 
 
 7757 
 
 7808 
 
 7858 
 
 
 
 86 
 
 7909 
 
 7959 
 
 8010 
 
 8061 
 
 8111 
 
 8162 
 
 8212 
 
 8263 
 
 8313 
 
 8364 
 
 
 
 87 
 
 8415 
 
 8465 
 
 8516 
 
 8566 
 
 8617 
 
 8668 
 
 8718 
 
 8769 
 
 8819 
 
 8870 
 
 
 
 88 
 
 8920 
 
 8971 
 
 9021 
 
 9072 
 
 9123 
 
 9173 
 
 9224 
 
 9274 
 
 9325 
 
 9375 
 
 
 
 89 
 
 9426 
 
 9477 
 
 9527 
 
 9578 
 
 9628 
 
 9679 
 
 9729 
 
 9780 
 
 9831 
 
 9881 
 
 
 
 8590 
 
 9932 
 
 9982 
 
 5033 
 
 0083 
 
 0134 
 
 0184 
 
 0235 
 
 0286 
 
 0336 
 
 0387 
 
 
 
 91 
 
 9340437 
 
 0488 
 
 0538 
 
 0589 
 
 0639 
 
 0690 
 
 0740 
 
 0791 
 
 0842 
 
 0892 
 
 
 
 92 
 
 0943 
 
 0993 
 
 1044 
 
 1094 
 
 1145 
 
 1195 
 
 1246 
 
 1296 
 
 1347 
 
 1398 
 
 
 50 
 
 93 
 
 1448 
 
 1499 
 
 1549 
 
 1600 
 
 1650 
 
 1701 
 
 1751 
 
 1802 
 
 1852 
 
 1903 
 
 
 1 
 
 ,^ 
 
 94 
 
 1953 
 
 2004 
 
 2055 
 
 2105 
 
 2156 
 
 2206 
 
 2257 
 
 2307 
 
 2358 
 
 2408 
 
 
 2 
 3 
 
 10 
 15 
 
 95 
 
 2459 
 
 2509 
 
 2560 
 
 2610 
 
 2661 
 
 2711 
 
 2762 
 
 2812 
 
 2863 
 
 2914 
 
 
 4 
 
 20 
 
 96 
 
 2964 
 
 3015 
 
 3065 
 
 3116 
 
 3166 
 
 3217 
 
 3267 
 
 3318 
 
 3368 
 
 3419 
 
 
 5 
 
 25 
 
 97 
 
 3469 
 
 3520 
 
 3570 
 
 3621 
 
 3671 
 
 3722 
 
 3772 
 
 3823 
 
 3873 
 
 3924 
 
 
 6 
 
 7 
 8 
 
 30 
 35 
 40 
 
 98 
 
 3974 
 
 4025 
 
 4075 
 
 4126 
 
 4176 
 
 4227 
 
 4277 
 
 4328 
 
 4378 
 
 4429 
 
 
 99 
 
 N. 
 
 4479 
 
 4530 
 I 
 
 4580 
 2 
 
 4631 
 .3 
 
 4682 
 
 4 
 
 4732 
 
 5 
 
 4783 
 
 6 
 
 4833 
 
 7 
 
 4884 
 
 8 
 
 4934 
 
 9 
 
 D 
 
 9 
 
 45 
 
 
 
 F 
 
 'ts. 
 
(158) LOGARITHMS N. 86()L.934 
 
 N. 
 
 8600 
 
 
 
 1 
 
 5035 
 
 2 
 5086 
 
 3 
 
 5136 
 
 4 
 
 5187 
 
 S 
 
 5237 
 
 6' 
 
 5287 
 
 7 
 
 5338 
 
 8 
 
 5388 
 
 9 
 
 5439 
 
 D 
 
 Pro. 
 
 9344985 
 
 01 
 
 5489 
 
 5540 
 
 5590 
 
 5641 
 
 5691 
 
 5742 
 
 5792 
 
 5843 
 
 5893 
 
 5944 
 
 
 51 
 
 02 
 
 5994 
 
 6045 
 
 6095 
 
 6146 
 
 6196 
 
 6247 
 
 6297 
 
 6348 
 
 6398 
 
 6449 
 
 
 1 5 
 
 03 
 
 6499 
 
 6550 
 
 6600 
 
 6651 
 
 6701 
 
 6752 
 
 6802 
 
 6853 
 
 6903 
 
 6954 
 
 
 2 10 
 
 3 15 
 
 4 20 
 
 04 
 
 7004 
 
 7054 
 
 7105 
 
 7155 
 
 7206 
 
 7256 
 
 7307 
 
 7357 
 
 7408 
 
 7458 
 
 
 05 
 
 7509 
 
 7559 
 
 7610 
 
 7660 
 
 7711 
 
 7761 
 
 7812 
 
 7862 
 
 7912 
 
 7963 
 
 
 5 26 
 
 06 
 
 8013 
 
 8064 
 
 8114 
 
 8165 
 
 S215 
 
 8266 
 
 8316 
 
 8367 
 
 8417 
 
 8468 
 
 
 G31 
 
 7 36 
 
 8 41 
 
 07 
 
 8518 
 
 8568 
 
 8619 
 
 8669 
 
 6720 
 
 8770 
 
 8821 
 
 8871 
 
 8922 
 
 8972 
 
 
 08 
 
 9023 
 
 9073 
 
 9123 
 
 9174 
 
 9224 
 
 9275 
 
 9325 
 
 9376 
 
 9426 
 
 9477 
 
 
 9 46 
 
 09 
 
 9527 
 
 9578 
 
 9628 
 
 9678 
 
 9729 
 
 9779 
 
 9830 
 
 9880 
 
 9931 
 
 9981 
 
 
 
 8610 
 
 9350032 
 
 0082 
 
 0132 
 
 0183 
 
 0233 
 
 0284 
 
 0334 
 
 0385 
 
 0435 
 
 0485 
 
 
 
 11 
 
 0536 
 
 0586 
 
 0637 
 
 0687 
 
 0738 
 
 0788 
 
 0838 
 
 0889 
 
 09.39 
 
 0990 
 
 
 
 12 
 
 1040 
 
 1091 
 
 1141 
 
 1191 
 
 1242 
 
 1292 
 
 1343 
 
 1393 
 
 1444 
 
 1494 
 
 
 
 13 
 
 1544 
 
 1595 
 
 1645 
 
 1696 
 
 1746 
 
 1797 
 
 1847 
 
 1897 
 
 1948 
 
 1998 
 
 
 
 14 
 
 2049 
 
 2099 
 
 2150 
 
 2200 
 
 2250 
 
 2301 
 
 2351 
 
 2402 
 
 2452 
 
 2502 
 
 
 
 15 
 
 2553 
 
 2603 
 
 2654 
 
 2704 
 
 2754 
 
 2805 
 
 2855 
 
 2906 
 
 2956 
 
 3006 
 
 
 
 16 
 
 3057 
 
 3107 
 
 3158 
 
 3208 
 
 3259 
 
 3309 
 
 3359 
 
 3410 
 
 3460 
 
 3511 
 
 
 
 17 
 
 5561 
 
 3611 
 
 3662 
 
 3712 
 
 3763 
 
 3813 
 
 3863 
 
 3914 
 
 3964 
 
 4015 
 
 
 
 18 
 
 4065 
 
 4115 
 
 4166 
 
 4216 
 
 4266 
 
 4317 
 
 4367 
 
 4418 
 
 4468 
 
 4518 
 
 
 
 19 
 
 4569 
 
 4619 
 
 4670 
 
 4720 
 
 4770 
 
 4821 
 
 4871 
 
 4922 
 
 4972 
 
 5022 
 
 
 
 8620 
 
 5073 
 
 5123 
 
 5173 
 
 5224 
 
 5274 
 
 5325 
 
 5375 
 
 5425 
 
 5476 
 
 5526 
 
 
 
 21 
 
 5576 
 
 5627 
 
 5677 
 
 5728 
 
 5778 
 
 5828 
 
 5879 
 
 5929 
 
 5979 
 
 6030 
 
 
 
 22 
 
 6080 
 
 6131 
 
 6181 
 
 6231 
 
 6282 
 
 6332 
 
 6382 
 
 6433 
 
 6483 
 
 6533 
 
 
 
 23 
 
 6584 
 
 6634 
 
 6685 
 
 6735 
 
 6785 
 
 6836 
 
 6886 
 
 6936 
 
 6987 
 
 7037 
 
 
 
 24 
 
 7087 
 
 7138 
 
 7188 
 
 7239 
 
 7289 
 
 7339 
 
 7390 
 
 7440 
 
 7490 
 
 7541 
 
 
 
 25 
 
 7591 
 
 7641 
 
 7692 
 
 7742 
 
 7792 
 
 7843 
 
 7893 
 
 7943 
 
 7994 
 
 8044 
 
 
 
 26 
 
 8095 
 
 8145 
 
 8195 
 
 8246 
 
 8296 
 
 8346 
 
 8397 
 
 8447 
 
 8497 
 
 8548 
 
 
 
 27 
 
 8598 
 
 8648 
 
 8699 
 
 8749 
 
 8799 
 
 8850 
 
 8900 
 
 8950 
 
 9001 
 
 9051 
 
 
 
 28 
 
 9101 
 
 9152 
 
 9202 
 
 9252 
 
 9303 
 
 9353 
 
 9403 
 
 9454 
 
 9504 
 
 9554 
 
 
 
 29 
 
 9605 
 
 9655 
 
 9705 
 
 9756 
 
 9806 
 
 9856 
 
 9907 
 
 9957 
 
 0007 
 
 0058 
 
 
 
 8630 
 
 9360108 
 
 0158 
 
 0209" 
 
 0259 
 
 0309 
 
 0360 
 
 0410 
 
 0460 
 
 0511 
 
 0561 
 
 
 
 31 
 
 0611 
 
 0661 
 
 0712 
 
 0762 
 
 0812 
 
 0863 
 
 0913 
 
 0963 
 
 1014 
 
 1064 
 
 
 
 32 
 
 1114 
 
 1165 
 
 1215 
 
 1265 
 
 1316 
 
 1366 
 
 1416 
 
 1466 
 
 1517 
 
 1567 
 
 
 
 33 
 
 1617 
 
 1668 
 
 1718 
 
 1768 
 
 1819 
 
 1869 
 
 1919 
 
 1970 
 
 2020 
 
 L^070 
 
 
 
 34 
 
 2120 
 
 2171 
 
 2221 
 
 2271 
 
 2322 
 
 2372 
 
 2422 
 
 2473 
 
 2523 
 
 2573 
 
 
 
 35 
 
 2623 
 
 2674 
 
 2724 
 
 2774 
 
 2825 
 
 2875 
 
 2925 
 
 2975 
 
 3026 
 
 3076 
 
 
 
 36 
 
 3126 
 
 3177 
 
 3227 
 
 3277 
 
 3327 
 
 3378 
 
 3428 
 
 3478 
 
 3529 
 
 3579 
 
 
 
 37 
 
 3629 
 
 3679 
 
 3730 
 
 3780 
 
 3830 
 
 3881 
 
 3931 
 
 3981 
 
 4031 
 
 4082 
 
 
 
 38 
 
 4132 
 
 4182 
 
 4233 
 
 4283 
 
 4333 
 
 4383 
 
 4434 
 
 4484 
 
 4534 
 
 4584 
 
 
 
 39 
 
 4635 
 
 4685 
 
 4735 
 
 4786 
 
 4836 
 
 4886 
 
 4936 
 
 4987 
 
 5037 
 
 5087 
 
 
 
 8640 
 
 5137 
 
 5188 
 
 5238 
 
 5288 
 
 5338 
 
 5389 
 
 5439 
 
 5489 
 
 5540 
 
 5590 
 
 
 
 41 
 
 5640 
 
 5690 
 
 5741 
 
 5791 
 
 5841 
 
 5891 
 
 5942 
 
 5992 
 
 6042 
 
 6092 
 
 
 
 42 
 
 6143 
 
 6193 
 
 6243 
 
 6293 
 
 6344 
 
 6394 
 
 6444 
 
 6494 
 
 6545 
 
 6595 
 
 
 50 
 
 43 
 
 6645 
 
 6695 
 
 6746 
 
 6796 
 
 6846 
 
 6896 
 
 6947 
 
 6997 
 
 7047 
 
 7097 
 
 
 1 5 
 
 44 
 
 7148 
 
 7198 
 
 7248 
 
 7298 
 
 7349 
 
 7399 
 
 7449 
 
 7499 
 
 7550 
 
 7600 
 
 
 2 10 
 
 3 15 
 
 45 
 
 7650 
 
 7700 
 
 7750 
 
 7801 
 
 7851 
 
 7901 
 
 7951 
 
 8002 
 
 8052 
 
 8102 
 
 
 4 20 
 
 46 
 
 8152 
 
 8203 
 
 8253 
 
 8303 
 
 8353 
 
 8403 
 
 8454 
 
 8504 
 
 8554 
 
 8604 
 
 
 6 25 
 
 47 
 
 8655 
 
 8705 
 
 8755 
 
 8805 
 
 8855 
 
 8906 
 
 8956 
 
 9006 
 
 9056 
 
 9107 
 
 
 G30 
 
 7 35 
 
 8 40 
 
 48 
 
 9157 
 
 9207 
 
 9257 
 
 9307 
 
 9358 
 
 9408 
 
 9458 
 
 9508 
 
 9559 
 
 9609 
 
 
 49 
 
 N. 
 
 9659 
 
 9709 
 1 
 
 9759 
 2 
 
 9810 
 
 3 
 
 9860 
 
 4 
 
 9910 
 
 5 
 
 9960 
 
 6 
 
 0010 
 7 
 
 0061 
 8 
 
 0111 
 
 9 
 
 D 
 
 9 45 
 
 Pts. 
 
 
 
In. 86o L.9S7 
 
 
 
 OF NUMBERS. 
 
 
 
 
 (159)1 
 
 N. 
 
 8650 
 
 
 
 1 
 
 02TT 
 
 2 
 
 0261 
 
 3 
 
 0312 
 
 4 
 
 0362 
 
 5 
 
 0412 
 
 6 
 
 0462 
 
 7 
 
 0513 
 
 8 
 0563 
 
 9 
 
 0613 
 
 [D 
 
 Pro. 
 
 9370161 
 
 51 
 
 0663 
 
 0713 
 
 0764 
 
 0814 
 
 0864 
 
 0914 
 
 0964 
 
 1015 
 
 1065 
 
 1115 
 
 
 50 
 
 52 
 
 U65 
 
 1215 
 
 1265 
 
 1316 
 
 1366 
 
 1416 
 
 1466 
 
 1516 
 
 1567 
 
 1617 
 
 
 1 5 
 
 53 
 
 1667 
 
 1717 
 
 1767 
 
 1818 
 
 1868 
 
 1918 
 
 1968 
 
 2018 
 
 2069 
 
 2119 
 
 
 2 10 
 
 54 
 
 2169 
 
 2219 
 
 2269 
 
 2319 
 
 2370 
 
 2420 
 
 2470 
 
 2520 
 
 2570 
 
 2621 
 
 
 3 15 
 
 4 20 
 
 55 
 
 2671 
 
 2721 
 
 2771 
 
 2821 
 
 2871 
 
 2922 
 
 2972 
 
 3022 
 
 3072 
 
 3122 
 
 
 5 25 
 
 56 
 
 3172 
 
 3223 
 
 3273 
 
 3323 
 
 3373 
 
 3423 
 
 3474 
 
 3524 
 
 3574 
 
 3624 
 
 
 6 30 
 
 57 
 
 3674 
 
 3724 
 
 3775 
 
 3825 
 
 3875 
 
 3925 
 
 3975 
 
 4025 
 
 4075 
 
 4126 
 
 
 7 35 
 
 8 40 
 
 9 45 
 
 58 
 
 4176 
 
 4226 
 
 4276 
 
 4326 
 
 4376 
 
 4427 
 
 4477 
 
 4527 
 
 4577 
 
 4627 
 
 
 59 
 
 4677 
 
 4728 
 
 4778 
 
 4828 
 
 4878 
 
 4928 
 
 4978 
 
 5028 
 
 5079 
 
 5129 
 
 
 
 8660 
 
 5179 
 
 5229 
 
 5279 
 
 5329 
 
 5380 
 
 5430 
 
 5480 
 
 5530 
 
 5580 
 
 5630 
 
 
 
 6i 
 
 5680 
 
 5731 
 
 5781 
 
 5831 
 
 5881 
 
 5931 
 
 5981 
 
 6031 
 
 6082 
 
 6132 
 
 
 
 62 
 
 6182 
 
 6232 
 
 6282 
 
 6332 
 
 6382 
 
 6432 
 
 6483 
 
 6533 
 
 6583 
 
 6633 
 
 
 
 63 
 
 6683 
 
 6733 
 
 6783 
 
 6834 
 
 6884 
 
 6934 
 
 6984 
 
 7034 
 
 7084 
 
 7134 
 
 
 
 64 
 
 7184 
 
 7235 
 
 7285 
 
 7335 
 
 7385 
 
 7435 
 
 7485 
 
 7535 
 
 7585 
 
 7636 
 
 
 
 65 
 
 768a 
 
 7736 
 
 7786 
 
 7836 
 
 7886 
 
 7936 
 
 7986 
 
 8037 
 
 8087 
 
 8137 
 
 
 
 66 
 
 8187 
 
 8237 
 
 8287 
 
 8337 
 
 8387 
 
 8437 
 
 8488 
 
 8538 
 
 8588 
 
 8638 
 
 
 
 67 
 
 ^8688 
 
 8738 
 
 8788 
 
 8838 
 
 8888 
 
 8939 
 
 8989 
 
 9039 
 
 9089 
 
 9139 
 
 
 
 68 
 
 9189 
 
 9239 
 
 9289 
 
 9339 
 
 9389 
 
 9440 
 
 9490 
 
 9540 
 
 9590 
 
 9640 
 
 
 
 69 
 
 9690 
 
 9740 
 
 9790 
 
 9840 
 
 9890 
 
 9941 
 
 9991 
 
 0041 
 
 0091 
 
 0141 
 
 
 
 8670 
 
 9380191 
 
 0241 
 
 0291 
 
 0341 
 
 0391 
 
 0441 
 
 0492 
 
 0542 
 
 0592 
 
 0642 
 
 
 
 71 
 
 0692 
 
 0742 
 
 0792 
 
 0842 
 
 0892 
 
 0942 
 
 0992 
 
 1042 
 
 1093 
 
 1143 
 
 
 
 72 
 
 1193 
 
 1243 
 
 1293 
 
 1343 
 
 1393 
 
 1443 
 
 1493 
 
 1543 
 
 1593 
 
 1643 
 
 
 
 73 
 
 1693 
 
 1744 
 
 1794 
 
 1844 
 
 1894 
 
 1944 
 
 1994 
 
 2044 
 
 2094 
 
 2144 
 
 
 
 74 
 
 2194 
 
 2244 
 
 2294 
 
 2344 
 
 2394 
 
 2445 
 
 2495 
 
 2545 
 
 2595 
 
 2645 
 
 
 
 75 
 
 2695 
 
 2745 
 
 2795 
 
 2845 
 
 2895 
 
 2945 
 
 2995 
 
 3045 
 
 3095 
 
 3145 
 
 
 
 76 
 
 3195 
 
 3245 
 
 3296 
 
 3346 
 
 3396 
 
 3446 
 
 3496 
 
 3546 
 
 3596 
 
 3646 
 
 
 
 77- 
 
 3696 
 
 3746 
 
 3796 
 
 3846 
 
 3896 
 
 3946 
 
 3996 
 
 4046 
 
 4096 
 
 4146 
 
 
 
 78 
 
 4196 
 
 4247 
 
 4297 
 
 4347 
 
 4397 
 
 4447 
 
 4497 
 
 4547 
 
 4597 
 
 4647 
 
 
 
 79 
 
 4697 
 
 4747 
 
 4797 
 
 4847 
 
 4897 
 
 4947 
 
 4997 
 
 5047 
 
 5097 
 
 5147 
 
 
 
 8680 
 
 5197 
 
 5247 
 
 5297 
 
 5347 
 
 5397 
 
 5447 
 
 5497 
 
 5547 
 
 5598 
 
 5648 
 
 
 
 81 
 
 5698 
 
 5748 
 
 5798 
 
 5848 
 
 5898 
 
 5948 
 
 5998 
 
 6048 
 
 6098 
 
 6148 
 
 
 
 82 
 
 6198 
 
 6248 
 
 6298 
 
 6348 
 
 6398 
 
 6448 
 
 6498 
 
 6548 
 
 6598 
 
 6648 
 
 
 
 83 
 
 6698 
 
 6748 
 
 6798 
 
 6848 
 
 6898 
 
 6948 
 
 6998 
 
 7048 
 
 7098 
 
 7148 
 
 
 
 84 
 
 7198 
 
 7248 
 
 7298 
 
 7348 
 
 7398 
 
 7448 
 
 7498 
 
 7548 
 
 7598 
 
 7648 
 
 50 
 
 
 85 
 
 7698 
 
 7748 
 
 7798 
 
 7848 
 
 7898 
 
 7948 
 
 7998 
 
 8048 
 
 8098 
 
 8148 
 
 
 86 
 
 8198 
 
 8248 
 
 8298 
 
 8348 
 
 8398 
 
 8448 
 
 8498 
 
 8548 
 
 8598 
 
 8648 
 
 
 
 87 
 
 8698 
 
 8748 
 
 8798 
 
 8848 
 
 8898 
 
 8948 
 
 8998 
 
 9048 
 
 9098 
 
 9148 
 
 
 
 88 
 
 9198 
 
 9248 
 
 9298 
 
 9348 
 
 9398 
 
 9448 
 
 9498 
 
 9548 
 
 9598 
 
 9648 
 
 
 
 89 
 
 9608 
 
 9748 
 
 9798 
 
 9848 
 
 9898 
 
 9948 
 
 9998 
 
 0048 
 
 0098 
 
 0148 
 
 
 
 8690 
 
 9390198 
 
 0248 
 
 0298 
 
 0348 
 
 0398 
 
 0448 
 
 0498 
 
 0548 
 
 0598 
 
 0648 
 
 
 
 91 
 
 0697 
 
 0747 
 
 0797 
 
 0847 
 
 0897 
 
 0947 
 
 0997 
 
 1047 
 
 1097 
 
 1147 
 
 
 
 92 
 
 1197 
 
 1247 
 
 1297 
 
 1347 
 
 1397 
 
 1447 
 
 1497 
 
 1547 
 
 1597 
 
 1647 
 
 
 49 
 
 93 
 
 1697 
 
 1747 
 
 1797 
 
 1847 
 
 1897 
 
 1947 
 
 1997 
 
 2046 
 
 2096 
 
 2146 
 
 
 1 5 
 
 94 
 
 2196 
 
 2246 
 
 2296 
 
 2346 
 
 2396 
 
 2446 
 
 2496 
 
 2546 
 
 2596 
 
 2646 
 
 
 2 10 
 
 3 15 
 
 4 20 
 
 95 
 
 2696 
 
 2746 
 
 2796 
 
 2846 
 
 2896 
 
 2946 
 
 2996 
 
 3045 
 
 3095 
 
 3145 
 
 
 96 
 
 3195 
 
 3245 
 
 3295 
 
 3345 
 
 3395 
 
 3445 
 
 3495 
 
 3545 
 
 3595 
 
 3645 
 
 
 5 25 
 
 97 
 
 3695 
 
 3745 
 
 3795 
 
 3845 
 
 3894 
 
 3944 
 
 3994 
 
 4044 
 
 4094 
 
 4144 
 
 
 6 29 
 
 7 34 
 
 8 39 
 
 98 
 
 4194 
 
 4244 
 
 4294 
 
 4344 
 
 4394 
 
 4444 
 
 4494 
 
 4544 
 
 4593 
 
 4643 
 
 
 99 
 
 4693 
 
 4743 
 1 
 
 4793 
 
 2 
 
 4843 
 
 3 
 
 4893 
 
 4 
 
 4943 
 
 5 
 
 4993 
 
 6 
 
 5043 
 
 5093 
 
 5143 
 9 
 
 D 
 
 9 44 
 
 Pts. 
 
 N. 
 
 
 
 7 
 
 8 
 
(160) LOGARITHMS N.870 L.^o9\ 
 
 N. 
 
 8700 
 
 
 
 1 
 
 5242 
 
 2 
 
 5292 
 
 3 
 
 5342 
 
 4 
 
 5392 
 
 5 
 
 5442 
 
 6 
 
 5492 
 
 7 
 
 5542 
 
 8 
 
 5592 
 
 9 
 
 5642 
 
 1) 
 
 Pro. 
 
 9395103 
 
 01 
 
 5692 
 
 5742 
 
 5792 
 
 5841 
 
 5891 
 
 5941 
 
 5991 
 
 6041 
 
 6091 
 
 6141 
 
 
 50 
 
 02 
 
 6191 
 
 6241 
 
 6291 
 
 6341 
 
 6390 
 
 6440 
 
 6490 
 
 6540 
 
 6590 
 
 6640 
 
 
 1 
 
 5 
 
 03 
 
 6690 
 
 6740 
 
 6790 
 
 6840 
 
 6889 
 
 6939 
 
 6989 
 
 7039 
 
 7089 
 
 7139 
 
 
 2 
 3 
 4 
 
 10 
 15 
 •20 
 
 04 
 
 7189 
 
 7239 
 
 7289 
 
 7339 
 
 7388 
 
 7438 
 
 7488 
 
 7538 
 
 7588 
 
 7638 
 
 
 05 
 
 7688 
 
 7738 
 
 7788 
 
 7837 
 
 7887 
 
 7937 
 
 7987 
 
 8037 
 
 8087 
 
 8137 
 
 
 5 
 
 25 
 
 06 
 
 8187 
 
 8237 
 
 8286 
 
 8336 
 
 8386 
 
 8436 
 
 8486 
 
 8536 
 
 8586 
 
 8636 
 
 
 6 
 
 7 
 g 
 
 30 
 35 
 40 
 
 07 
 
 8685 
 
 8735 
 
 8785 
 
 8835 
 
 8885 
 
 8935 
 
 8985 
 
 9035 
 
 9084 
 
 9134 
 
 
 08 
 
 9184 
 
 9234 
 
 9284 
 
 9334 
 
 9384 
 
 9434 
 
 9483 
 
 9533 
 
 9583 
 
 9633 
 
 
 9 
 
 45 
 
 09 
 
 9683 
 
 9733 
 
 9783 
 
 9833 
 
 9882 
 
 9932 
 
 9982 
 
 0032 
 
 0082 
 
 0132 
 
 
 
 
 8710 
 
 9400182 
 
 0231 
 
 0281 
 
 0331 
 
 0381 
 
 0431 
 
 0481 
 
 0531 
 
 0580 
 
 0630 
 
 
 
 11 
 
 0680 
 
 0730 
 
 0780 
 
 0830 
 
 0880 
 
 0929 
 
 0979 
 
 1029 
 
 1079 
 
 1129 
 
 
 
 12 
 
 1179 
 
 1229 
 
 1278 
 
 1328 
 
 1378 
 
 1428 
 
 1478 
 
 1528 
 
 1577 
 
 1627 
 
 
 
 13 
 
 1677 
 
 1727 
 
 1777 
 
 1827 
 
 1877 
 
 1926 
 
 1976 
 
 2026 
 
 2076 
 
 2126 
 
 
 
 14 
 
 2176 
 
 2225 
 
 2275 
 
 2325 
 
 2375 
 
 2425 
 
 2475 
 
 2524 
 
 2574 
 
 2624. 
 
 
 
 15 
 
 2674 
 
 2724 
 
 2774 
 
 2823 
 
 2873 
 
 2923 
 
 2973 
 
 3023 
 
 3073 
 
 3122 
 
 
 
 16 
 
 3172 
 
 3222 
 
 3272 
 
 3322 
 
 3372 
 
 3421 
 
 3471 
 
 3521 
 
 3571 
 
 3621 
 
 
 
 17 
 
 3670 
 
 3720 
 
 3770 
 
 3820 
 
 3870 
 
 3920 
 
 3969 
 
 4019 
 
 4069 
 
 4119 
 
 
 
 18 
 
 '4169 
 
 4218 
 
 4268 
 
 4318 
 
 4368 
 
 4418 
 
 4468 
 
 4517 
 
 4567 
 
 4617 
 
 
 
 19 
 
 4667 
 
 4717 
 
 4766 
 
 4816 
 
 4866 
 
 4916 
 
 4966 
 
 5015 
 
 5065 
 
 5115 
 
 
 
 8720 
 
 5165 
 
 5215 
 
 5264 
 
 5314 
 
 5364 
 
 5414 
 
 5464 
 
 5513 
 
 5563 
 
 5613 
 
 
 
 21 
 
 5663 
 
 5713 
 
 5762 
 
 5812 
 
 5862 
 
 5912 
 
 5962 
 
 6011 
 
 6061 
 
 6111 
 
 
 
 22 
 
 6161 
 
 6211 
 
 6260 
 
 6310 
 
 6360 
 
 6410 
 
 6460 
 
 6509 
 
 6559 
 
 6609 
 
 
 
 23 
 
 6659 
 
 6709 
 
 6758 
 
 6808 
 
 6858 
 
 6908 
 
 6957 
 
 7007 
 
 7057 
 
 7107 
 
 
 
 24 
 
 7157 
 
 7206 
 
 7256 
 
 7306 
 
 7356 
 
 7405 
 
 7455 
 
 7505 
 
 7555 
 
 7605 
 
 
 
 25 
 
 7654 
 
 7704 
 
 7754 
 
 7804 
 
 7853 
 
 7903 
 
 7953 
 
 8003 
 
 8053 
 
 8102 
 
 
 
 26 
 
 8152 
 
 8202 
 
 8252 
 
 8301 
 
 8351 
 
 8401 
 
 8451 
 
 8500 
 
 8550 
 
 8600 
 
 
 
 27 
 
 8650 
 
 8700 
 
 8749 
 
 8799 
 
 8849 
 
 8899 
 
 8948 
 
 8998 
 
 9048 
 
 9098 
 
 
 
 28 
 
 9147 
 
 9197 
 
 9247 
 
 9297 
 
 9346 
 
 9396 
 
 9446 
 
 9496 
 
 9545 
 
 9595 
 
 
 
 29 
 
 9645 
 
 9695 
 
 9744 
 
 9794 
 
 9844 
 
 9894 
 
 994S 
 
 9993 
 
 0043 
 
 0093 
 
 
 
 8730 
 
 9410142 
 
 0192 
 
 0242 
 
 0292 
 
 0341 
 
 0391 
 
 0441 
 
 0491 
 
 0540 
 
 0590 
 
 
 
 31 
 
 0640 
 
 0690 
 
 0739 
 
 0789 
 
 0839 
 
 0889 
 
 0938 
 
 0988 
 
 1038 
 
 1088 
 
 
 
 32 
 
 1137 
 
 1187 
 
 1237 
 
 1286 
 
 1336 
 
 1386 
 
 1436 
 
 1485 
 
 1535 
 
 1585 
 
 
 
 33 
 
 1635 
 
 1684 
 
 1734 
 
 1784 
 
 1834 
 
 1883 
 
 1933 
 
 1983 
 
 2032 
 
 2082 
 
 
 
 34 
 
 2132 
 
 2182 
 
 2231 
 
 2281- 
 
 2331 
 
 2380 
 
 2430 
 
 2480 
 
 2530 
 
 2579 
 
 
 
 35 
 
 2629 
 
 2679 
 
 2729 
 
 2778 
 
 2828 
 
 2878 
 
 2927 
 
 2977 
 
 3027 
 
 3077 
 
 
 
 36 
 
 3126 
 
 3176 
 
 3226 
 
 3275 
 
 3325 
 
 3375 
 
 3425 
 
 3474 
 
 3524 
 
 3574 
 
 
 
 37 
 
 3623 
 
 3673 
 
 3723 
 
 3772 
 
 3822 
 
 3872 
 
 3922 
 
 3971 
 
 4021 
 
 4071 
 
 
 
 38 
 
 4120 
 
 4170 
 
 4220 
 
 4270 
 
 4319 
 
 4369 
 
 4419 
 
 4468 
 
 4518 
 
 4568 
 
 
 
 39 
 
 4617 
 
 4667 
 
 4717 
 
 4766 
 
 4816 
 
 4866 
 
 4916 
 
 4965 
 
 5015 
 
 5065 
 
 
 
 8740 
 
 5114 
 
 5164 
 
 5214 
 
 5263 
 
 5313 
 
 5363 
 
 5412 
 
 5462 
 
 5512 
 
 5562 
 
 
 
 41 
 
 5611 
 
 5661 
 
 5711 
 
 5760 
 
 5810 
 
 5860 
 
 5909 
 
 5959 
 
 6009 
 
 6058 
 
 
 
 42 
 
 6108 
 
 6158 
 
 6207 
 
 6257 
 
 6307 
 
 6356 
 
 6406 
 
 6456 
 
 6505 
 
 6555 
 
 
 49 
 
 43 
 
 6605 
 
 6654 
 
 6704 
 
 6754 
 
 6803 
 
 6853 
 
 6903 
 
 6952 
 
 7002 
 
 7052 
 
 
 1 
 
 5 
 
 10 
 15 
 
 44 
 
 7101 
 
 7151 
 
 7201 
 
 7250 
 
 7300 
 
 7350 
 
 7399 
 
 741-9 
 
 7499 
 
 7548 
 
 
 2 
 
 45 
 
 7598 
 
 7648 
 
 7G§7 
 
 7747 
 
 7797 
 
 7846 
 
 7896 
 
 7946 
 
 7995 
 
 8045 
 
 
 4 
 
 20 
 
 46 
 
 8095 
 
 8144 
 
 8194 
 
 8244 
 
 8293 
 
 8343 
 
 8393 
 
 8412 
 
 8492 
 
 8542 
 
 
 5 
 6 
 
 25 
 34 
 
 47 
 
 8591 
 
 8641 
 
 8691 
 
 8740 
 
 8790 
 
 8840 
 
 8889 
 
 8939 
 
 8988 
 
 9038 
 
 
 48 
 
 9088 
 
 9137 
 
 9187 
 
 9237 
 
 9286 
 
 9336 
 
 9386 
 
 9435 
 
 9485 
 
 9535 
 
 
 8 
 
 39 
 
 49 
 
 N. 
 
 9584 
 
 9634 
 1 
 
 9683 
 
 9733 
 
 3 
 
 9783 
 
 4 
 
 9832 
 
 5 
 
 9882 
 
 6^ 
 
 9932 
 
 7 
 
 9981 
 8 
 
 003 1 
 
 .9 
 
 D 
 
 9 
 
 44 
 
 
 
 Pts. 
 
N. 875 L. 94*2 OF NUMBERS. ( i^'l) 
 
 N. 
 
 8750 
 
 
 
 1 
 
 1 30 
 
 2 
 
 0180 
 
 3 
 
 0229 
 
 4 
 
 0279 
 
 5 
 
 0329 
 
 6" 
 
 0378 
 
 7 
 
 0428 
 
 8 
 
 047 8 
 
 9 
 
 0527 
 
 iJ 
 
 Pro. 
 
 9420081 
 
 51 
 
 0577 
 
 0626 
 
 0676 
 
 0726 
 
 0775 
 
 0825 
 
 0875 
 
 0924 
 
 0974 
 
 1 J23 
 
 
 50 
 
 52 
 
 1073 
 
 1123 
 
 1172 
 
 1222 
 
 1272 
 
 1321 
 
 1371 
 
 1420 
 
 1470 
 
 1520 
 
 
 1 
 
 5 
 
 53 
 
 1569 
 
 1619 
 
 1669 
 
 1718 
 
 1768 
 
 1817 
 
 1867 
 
 1917 
 
 1966 
 
 2010 
 
 
 2 
 3 
 4 
 
 10 
 15 
 20 
 
 54 
 
 2065 
 
 2115 
 
 2165 
 
 2214 
 
 2264 
 
 2313 
 
 2363 
 
 2413 
 
 2402 
 
 2512 
 
 
 55 
 
 2562 
 
 2611 
 
 2661 
 
 2710 
 
 2760 
 
 2810 
 
 2859 
 
 2909 
 
 2958 
 
 3008 
 
 
 5 
 
 25 
 
 56 
 
 3058 
 
 3107 
 
 3157 
 
 3206 
 
 3256 
 
 3306 
 
 3355 
 
 3405 
 
 3454 
 
 3504 
 
 
 6 
 
 7 
 g 
 
 30 
 35 
 40 
 
 57 
 
 :i553 
 
 3603 
 
 3653 
 
 37' 2 
 
 3752 
 
 .S8()l 
 
 3851 
 
 3901 
 
 3950 
 
 4000 
 
 
 58 
 
 4049 
 
 4099 
 
 4149 
 
 4198 
 
 4248 
 
 4297 
 
 4347 
 
 4397 
 
 4446 
 
 4490 
 
 
 9 
 
 45 
 
 59 
 
 4545 
 
 4595 
 
 4644 
 
 4694 
 
 4744 
 
 4793 
 
 4843 
 
 4892 
 
 4942 
 
 4991 
 
 
 
 8760 
 
 5041 
 
 5091 
 
 5140 
 
 5190 
 
 5239 
 
 5289 
 
 5339 
 
 5388 
 
 3438 
 
 5487 
 
 
 
 61 
 
 5537 
 
 5586 
 
 5636 
 
 5686 
 
 5735 
 
 5785 
 
 5834 
 
 5884 
 
 5933 
 
 5983 
 
 
 
 62 
 
 (3032 
 
 6082 
 
 6132 
 
 6181 
 
 6231 
 
 6280 
 
 6330 
 
 6379 
 
 0429 
 
 0479 
 
 
 
 63 
 
 6528 
 
 6578 
 
 6627 
 
 6677 
 
 6726 
 
 6776 
 
 6825 
 
 6875 
 
 0925 
 
 0y74 
 
 
 
 61. 
 
 7024 
 
 7073 
 
 7123 
 
 7172 
 
 7222 
 
 7271 
 
 7321 
 
 7371 
 
 7420 
 
 7470 
 
 
 
 65 
 
 7519 
 
 7569 
 
 7618 
 
 7668 
 
 7717 
 
 7767 
 
 7816 
 
 7866 
 
 7916 
 
 7965 
 
 
 
 66 
 
 8015 
 
 8064 
 
 8114 
 
 8163 
 
 8213 
 
 8262 
 
 8312 
 
 8361 
 
 8411 
 
 8461 
 
 
 
 67 
 
 8510 
 
 8560 
 
 8609 
 
 8659 
 
 8708 
 
 8758 
 
 8807 
 
 8857 
 
 8900 
 
 SJ56 
 
 
 
 68 
 
 9005 
 
 9055 
 
 9104 
 
 9154 
 
 9204 
 
 9253 
 
 9303 
 
 9352 
 
 9402 
 
 9451 
 
 
 
 69 
 
 9501 
 
 9550 
 
 9600 
 
 9649 
 
 9699 
 
 9748 
 
 9798 
 
 981-7 
 
 9897 
 
 9946 
 
 
 
 8770 
 
 9996 
 
 0045 
 
 0095 
 
 0144 
 
 0194 
 
 0244 
 
 0293 
 
 0343 
 
 0392 
 
 0442 
 
 
 
 71 
 
 9430491 
 
 0541 
 
 0590 
 
 0640 
 
 0689 
 
 0739 
 
 0788 
 
 0838 
 
 0887 
 
 0937 
 
 
 
 72 
 
 0986 
 
 1036 
 
 1085 
 
 1135 
 
 1184 
 
 1234 
 
 1283 
 
 1333 
 
 1382 
 
 143: 
 
 
 
 73 
 
 1481 
 
 1531 
 
 1580 
 
 1630 
 
 1679 
 
 1729 
 
 1778 
 
 1828 
 
 1877 
 
 1927 
 
 
 
 74 
 
 1976 
 
 2026 
 
 2075 
 
 2125 
 
 2174 
 
 2224 
 
 2273 
 
 2323 
 
 2372 
 
 2422 
 
 
 
 75 
 
 2471 
 
 2521 
 
 2570 
 
 2620 
 
 2669 
 
 2719 
 
 2768 
 
 2818 
 
 2307 
 
 2917 
 
 
 
 76 
 
 2966 
 
 3016 
 
 3065 
 
 3115 
 
 3164 
 
 3214 
 
 3263 
 
 3313 
 
 3362 
 
 3412 
 
 
 
 77 
 
 3461 
 
 3510 
 
 3560 
 
 3609 
 
 3659 
 
 3708 
 
 3758 
 
 3807 
 
 3857 
 
 3906 
 
 
 
 78 
 
 3956 
 
 4005 
 
 4055 
 
 4104 
 
 4154 
 
 4203 
 
 4253 
 
 4302 
 
 4352 
 
 4401 
 
 
 
 79 
 
 4450 
 
 4-500 
 
 4549 
 
 4599 
 
 4648 
 
 4698 
 
 4747 
 
 4797 
 
 4840 
 
 4896 
 
 
 
 8780 
 
 4945 
 
 4995 
 
 5044 
 
 5094 
 
 5143 
 
 5192 
 
 5242 
 
 5291 
 
 5341 
 
 5390 
 
 
 
 81 
 
 5440 
 
 5489 
 
 5539 
 
 5588 
 
 5638 
 
 5687 
 
 5737 
 
 578f) 
 
 5835 
 
 5885 
 
 
 
 82 
 
 5934 
 
 5984 
 
 6033 
 
 6083 
 
 6132 
 
 6182 
 
 6231 
 
 6280 
 
 6330 
 
 037. 
 
 
 
 83 
 
 6429 
 
 6478 
 
 6528 
 
 6577 
 
 6627 
 
 6676 
 
 6726 
 
 6775 
 
 6824 
 
 0874 
 
 
 
 84 
 
 6923 
 
 6973 
 
 7022 
 
 7072 
 
 7121 
 
 7170 
 
 7220 
 
 7269 
 
 7319 
 
 7368 
 
 
 
 85 
 
 7418 
 
 7467 
 
 7517 
 
 7566 
 
 7615 
 
 7665 
 
 7714 
 
 7764 
 
 7813 
 
 7863 
 
 
 
 86 
 
 7912 
 
 7961 
 
 8011 
 
 8060 
 
 8110 
 
 8159 
 
 8209 
 
 8258 
 
 8307 
 
 8357 
 
 
 
 87 
 
 8406 
 
 8456 
 
 8505 
 
 8555 
 
 8604 
 
 8653 
 
 8703 
 
 8752 
 
 8802 
 
 8851 
 
 
 
 88 
 
 8900 
 
 8950 
 
 8999 
 
 9049 
 
 9098 
 
 9148 
 
 9197 
 
 9240 
 
 9290 
 
 934. 
 
 
 
 89 
 
 9395 
 
 9444 
 
 9493 
 
 9543 
 
 9592 
 
 9642 
 
 9091 
 
 9741 
 
 9790 
 
 983' 
 
 
 
 8790 
 
 9889 
 
 9938 
 
 9988 
 
 0037 
 
 0086 
 
 0136 
 
 0185 
 
 0235 
 
 0284 
 
 0333 
 
 
 
 91 
 
 9440383 
 
 0432 
 
 0482 
 
 0531 
 
 0580 
 
 0630 
 
 0679 
 
 072^ 
 
 0778 
 
 0827 
 
 
 
 92 
 
 0877 
 
 0926 
 
 0976 
 
 1025 
 
 1074 
 
 1124 
 
 1173 
 
 1223 
 
 1272 
 
 1321 
 
 
 49 
 
 93 
 
 1371 
 
 1420 
 
 1470 
 
 1519 
 
 1568 
 
 1618 
 
 1607 
 
 1716 
 
 1706 
 
 1815 
 
 
 1 
 
 5 
 
 94 
 
 1805 
 
 1914 
 
 1963 
 
 2013 
 
 2002 
 
 2112 
 
 2161 
 
 2210 
 
 2260 
 
 2309 
 
 
 2 
 3 
 
 10 
 !5 
 
 95 
 
 2358 
 
 2408 
 
 2457 
 
 2507 
 
 2556 
 
 2605 
 
 2655 
 
 2704 
 
 2753 
 
 2803 
 
 
 4 
 
 20 
 
 96 
 
 2852 
 
 2902 
 
 2951 
 
 3000 
 
 3050 
 
 3099 
 
 3148 
 
 3198 
 
 3247 
 
 i297 
 
 
 5 
 
 ^l 
 
 97 
 
 3346 
 
 3395 
 
 3445 
 
 3494 
 
 3543 
 
 3593 
 
 3642 
 
 3691 
 
 3741 
 
 3790 
 
 
 6 
 
 7 
 g 
 
 29 
 39 
 
 98 
 
 3840 
 
 3889 
 
 3938 
 
 3988 
 
 4037 
 
 4080 
 
 4136 
 
 4185 
 
 4234 
 
 4284 
 
 
 99 
 
 N. 
 
 4333 
 
 4383 
 
 4432 
 
 4481 
 
 4531 
 
 4 
 
 4580 
 
 5 
 
 4629 
 
 4679 
 7 
 
 4728 
 
 4777 
 
 9 
 
 7J 
 
 9 
 
 44 
 
 
 
 1 
 
 Q 
 
 3 
 
 6 
 
 t 
 
 tS. 
 
 2 y 
 
^ \()C2) LOGARITHMS N. 880 L. 944 
 
 N. 
 
 8800 
 
 
 
 1 
 
 4S76 
 
 4925 
 
 3 
 
 4(>75 
 
 4 
 
 5024 
 
 5 
 
 5073 
 
 6 
 
 5123 
 
 7 
 
 5172 
 
 8 
 5222 
 
 9 
 
 5271 
 
 D 
 
 Pro. 
 
 9444827 
 
 01 
 
 53iO 
 
 5370 
 
 5419 
 
 5468 
 
 5518 
 
 5567 
 
 5616 
 
 5666 
 
 5715 
 
 5764 
 
 
 50 
 
 02 
 
 5814 
 
 5863 
 
 5912 
 
 5962 
 
 6011 
 
 6060 
 
 6110 
 
 6159 
 
 6208 
 
 6258 
 
 
 1 5 
 
 03 
 
 6307 
 
 6356 
 
 6406 
 
 6455 
 
 6504 
 
 6554 
 
 6603 
 
 6652 
 
 6702 
 
 6751 
 
 
 2 10 
 
 o 1 e 
 
 04 
 
 6800 
 
 6850 
 
 6899 
 
 6948 
 
 6998 
 
 7047 
 
 7096 
 
 7146 
 
 7195 
 
 7244 
 
 
 o 1 
 
 4 20 
 
 0.5 
 
 7294 
 
 7 3 43 
 
 7392 
 
 7442 
 
 7491 
 
 7540 
 
 7590 
 
 7639 
 
 7688 
 
 7737 
 
 
 6 25 
 
 6 30 
 
 7 35 
 
 00 
 
 7787 
 
 7836|7885 
 
 7935 
 
 7984 
 
 8033 
 
 8083 
 
 8132 
 
 8181 
 
 8231 
 
 
 07 
 
 8280 
 
 8329 
 
 8379 
 
 8428 
 
 8477 
 
 8527 
 
 8576 
 
 8625 
 
 8674 
 
 8724 
 
 
 8 40 
 
 08 
 
 8773 
 
 8822 
 
 8872 
 
 8921 
 
 8970 
 
 9020 
 
 9069 
 
 9118 
 
 9167 
 
 9217 
 
 
 9 45 
 
 09 
 
 9266 
 
 9315 
 
 9365 
 
 9414 
 
 9463 
 
 9513 
 
 9562 
 
 96]\ 
 
 9660 
 
 9710 
 
 
 
 8810 
 
 9759 
 
 9808 
 
 9858 
 
 9907 
 
 9956 
 
 0006 
 
 0055 
 
 0104 
 
 0153 
 
 0203 
 
 
 
 11 
 
 c>450252 
 
 0301 
 
 0351 
 
 0400 
 
 0449 
 
 0498 
 
 0548 
 
 0597 
 
 0646 
 
 0696 
 
 
 
 12 
 
 0745 
 
 0794 
 
 0843 
 
 0893 
 
 0942 
 
 0991 
 
 1041 
 
 1090 
 
 1139 
 
 1188 
 
 
 
 15 
 
 1238 
 
 1287 
 
 1336 
 
 1386 
 
 1435 
 
 1484 
 
 1533 
 
 1583 
 
 1632 
 
 1681 
 
 
 
 14 
 
 1730 
 
 1780 
 
 1829 
 
 1878 
 
 1928 
 
 1977 
 
 2026 
 
 2075 
 
 2125 
 
 2174 
 
 
 
 1.5 
 
 2223 
 
 2272 
 
 2322 
 
 2371 
 
 2420 
 
 2469 
 
 2519 
 
 2568 
 
 2617 
 
 2667 
 
 
 
 16 
 
 2716 
 
 2765 
 
 2814 
 
 2864 
 
 2913 
 
 2962 
 
 3011 
 
 .3061 
 
 3110 
 
 3159 
 
 
 
 17 
 
 3208 
 
 3258 
 
 3307 
 
 3356 
 
 3405 
 
 3455 
 
 3504 
 
 3553 
 
 3602 
 
 3652 
 
 
 
 ^ 18 
 
 3701 
 
 3750 
 
 3799 
 
 3849 
 
 3898 
 
 3947 
 
 3996 
 
 4046 
 
 4095 
 
 4144 
 
 
 
 19 
 
 4193 
 
 4243 
 
 4292 
 
 4341 
 
 4390 
 
 4440 
 
 4489 
 
 4538 
 
 4587 
 
 4637 
 
 
 
 8820 
 
 4686 
 
 4735 
 
 4784 
 
 4834 
 
 4883 
 
 4932 
 
 4981 
 
 5031 
 
 5080 
 
 5129 
 
 
 
 21 
 
 5178 
 
 5227 
 
 5277 
 
 5326 
 
 5375 
 
 5424 
 
 5474 
 
 5523 
 
 5572 
 
 5621 
 
 
 
 22 
 
 5671 
 
 5720 
 
 5769 
 
 5818 
 
 5867 
 
 5917 
 
 5966 
 
 6015 
 
 6064 
 
 6114 
 
 
 
 23 
 
 6163 
 
 6212 
 
 6261 
 
 6310 
 
 6360 
 
 6409 
 
 6458 
 
 6507 
 
 6557 
 
 6606 
 
 
 
 24 
 
 6655 
 
 6704 
 
 6753 
 
 6803 
 
 6852 
 
 6901 
 
 6950 
 
 7000 
 
 7049 
 
 7098 
 
 
 
 25 
 
 7147 
 
 7196 
 
 7246 
 
 7295 
 
 7344 
 
 7393 
 
 7442 
 
 7492 
 
 7541 
 
 7590 
 
 
 
 26 
 
 7639 
 
 7688 
 
 7738 
 
 7787 
 
 7836" 
 
 7885 
 
 7934 
 
 7984 
 
 8033 
 
 8082 
 
 
 
 27 
 
 8i31 
 
 8180 
 
 8230 
 
 8279 ,'8328 
 
 8377 
 
 8426 
 
 8476 
 
 8525 
 
 8574 
 
 
 
 . 28 
 
 8623 
 
 8672 
 
 8722 
 
 8771 8820 
 
 8869 
 
 8918 
 
 8968 
 
 9017 
 
 9066 
 
 
 
 29 
 
 9115 
 
 9164 
 
 9214 
 
 9263 9312 
 
 9361 
 
 9410 
 
 9459 
 
 9509 
 
 9558 
 
 
 
 8830 
 
 9607 
 
 9656 
 
 9705 
 
 9755 
 
 9804 
 
 9853 
 
 9902 
 
 9951 
 
 0000 
 
 0050 
 
 
 
 31 
 
 9460099 
 
 0148 
 
 0197 
 
 0246 
 
 0296 
 
 0345 
 
 0394 
 
 0443 
 
 0492 
 
 0541 
 
 
 
 32 
 
 0591 
 
 0640 
 
 06)59 
 
 0738 
 
 0787 
 
 0836 
 
 0886 
 
 0935 
 
 0984 
 
 1033 
 
 
 
 33 
 
 1082 
 
 1131 
 
 IJ81 
 
 1230 
 
 1279 
 
 1328 
 
 1377 
 
 1426 
 
 1476 
 
 1525 
 
 
 
 34 
 
 1574 
 
 1623 
 
 1672 
 
 1721 
 
 1771 
 
 1820 
 
 1869 
 
 1918 
 
 1967 
 
 2016 
 
 
 
 35 
 
 2066 
 
 211^ 
 
 2164 
 
 2213 
 
 2262 
 
 2311 
 
 2360 
 
 2410 
 
 2459 
 
 2508 
 
 
 
 56 
 
 2557 
 
 2606 
 
 2655 
 
 2705 
 
 2754 
 
 2803 
 
 2852 
 
 2901 
 
 2950 
 
 2999 
 
 
 
 37 
 
 3049 
 
 3098 
 
 3147 
 
 3196 
 
 3245 
 
 3294 
 
 3343 
 
 3393 
 
 3442 
 
 3491 
 
 
 
 38 
 
 3540 
 
 3589 
 
 3638 
 
 3687 
 
 3737 
 
 3786 
 
 3S35 
 
 3884 
 
 3933 
 
 3982 
 
 
 
 39 
 
 4031 
 
 4080 
 
 4130 
 
 4179 
 
 4228 
 
 4277 
 
 4326 
 
 4.^75 
 
 4424 
 
 4474 
 
 
 
 8840 
 
 4523 
 
 4572 
 
 4621 
 
 4670 
 
 4719 
 
 4768 
 
 4817 
 
 4867 
 
 4916 
 
 4965 
 
 
 
 41 
 
 5014 
 
 5063 
 
 5112 
 
 5161 
 
 5210 
 
 5260 
 
 5309 
 
 5358 
 
 5407 
 
 5456 
 
 
 
 42 
 
 5505 
 
 5554 
 
 5603 
 
 5652 
 
 5702 
 
 5751 
 
 5800 
 
 5849 
 
 5898 
 
 5947 
 
 
 49 
 
 43 
 
 5996 
 
 6045 
 
 6094 
 
 6144 
 
 6193 
 
 6242 
 
 6291 
 
 6340 
 
 6389 
 
 6438 
 
 
 Ij 5 
 
 44 
 
 6487 
 
 6536 
 
 6586 
 
 6635 
 
 6684 
 
 6733 
 
 6782 
 
 6831 
 
 6880 
 
 6929 
 
 
 2,10 
 3!l5 
 
 45 
 
 6978 
 
 7027 
 
 7077 
 
 7126 
 
 7175 
 
 7224 
 
 7273 
 
 7322 
 
 7371 
 
 7420 
 
 
 4 20 
 
 46 
 
 7469 
 
 7518 
 
 7568 
 
 7617 
 
 7666 
 
 7715 
 
 7764 
 
 7813 
 
 7862 
 
 7911 
 
 
 5 25 
 
 6 29 
 
 7 34 
 
 47 
 
 7960 
 
 8009 
 
 8058 
 
 8108 
 
 8157 
 
 S206 
 
 8255 
 
 8304 
 
 8353 
 
 8402 
 
 
 48 
 
 8451 
 
 8500 
 
 8549 
 
 8598 
 
 8647 
 
 8697 
 
 8746 
 
 8795 
 
 8844 
 
 8893 
 
 
 8 39 
 
 49 
 
 8942 
 
 8991 
 
 1 
 
 9040 
 
 9089 9138| 
 
 9187 
 5 
 
 9236 
 6 
 
 9285 
 
 7 
 
 9335 
 8 
 
 9384 
 
 9 
 
 D 
 
 9 44 
 
 Pts. 
 
 N. 
 
 
 
 2 
 
 3 
 
 4 1 
 
N.885 L.t)46* 
 
 
 OF NUMBERS. 
 
 
 
 
 (16-3)| 
 
 8850 
 
 
 
 1 
 
 9482 
 
 9531 
 
 3 
 
 9580 
 
 4 
 
 9629 
 
 5 
 
 9678 
 
 6 
 
 9727 
 
 7 
 
 9776 
 
 8 
 
 9825 
 
 9 
 
 9874 
 
 D 
 
 Pro. 
 
 9469433 
 
 51 
 
 9923 
 
 9972 
 
 0022 
 
 0071 
 
 0120 
 
 0169 
 
 0218 
 
 0267 
 
 0316 
 
 0365 
 
 
 49 
 
 52 
 
 9470414 
 
 0463 
 
 0512 
 
 0561 
 
 0610 
 
 0659 
 
 0708 
 
 0757 
 
 0807 
 
 0856 
 
 
 1| 5 
 
 53 
 
 0905 
 
 0954 
 
 1003 
 
 1052 
 
 1101 
 
 1150 
 
 1199 
 
 1248 
 
 1297 
 
 1346 
 
 
 2 10 
 315 
 4 20 
 
 54 
 
 1395 
 
 1444 
 
 1493 
 
 1542 
 
 1591 
 
 1640 
 
 1689 
 
 1739 
 
 1788 
 
 1837 
 
 
 55 
 
 1886 
 
 1935 
 
 1984 
 
 2033 
 
 2082 
 
 2131 
 
 2180 
 
 2229 
 
 2278 
 
 2327 
 
 
 5 25 
 
 56 
 
 2376 
 
 2425 
 
 2474 
 
 2523 
 
 2572 
 
 2(521 
 
 2670 
 
 2719 
 
 2768 
 
 2817 
 
 
 6 29 
 
 7 34 
 
 8 39 
 
 57 
 
 2866 
 
 2915 
 
 2965 
 
 3014 
 
 3063 
 
 3112 
 
 3161 
 
 3210 
 
 3259 
 
 3308 
 
 
 58 
 
 3357 
 
 3406 
 
 3455 
 
 3504 
 
 3553 
 
 3602 
 
 3651 
 
 3700 
 
 3749 
 
 3798 
 
 
 9 44 
 
 59 
 
 3847 
 
 3896 
 
 3945 
 
 3994 
 
 4043 
 
 4092 
 
 4141 
 
 4190 
 
 4239 
 
 4288 
 
 
 
 88(50 
 
 4337 
 
 4386 
 
 4435 
 
 4484 
 
 4533 
 
 4582 
 
 4631 
 
 4680 
 
 4729 
 
 4778 
 
 
 
 04 
 
 4827 
 
 4876 
 
 4925 
 
 4974 
 
 5023 
 
 5072 
 
 5121 
 
 5170 
 
 5219 
 
 5268 
 
 
 
 6:2 
 
 5317 
 
 5366 
 
 5415 
 
 5464 
 
 5513 
 
 5562 
 
 5611 
 
 5660 
 
 5709 
 
 5758 
 
 49 
 
 
 63 
 
 5807 
 
 5856 
 
 5905 
 
 5954 
 
 6003 
 
 6052 
 
 6101 
 
 6150 
 
 6199 
 
 6248 
 
 
 64 
 
 629,7 
 
 6346 
 
 6395 
 
 6444 
 
 6493 
 
 6542 
 
 6591 
 
 6640 
 
 6689 
 
 6738 
 
 
 
 65 
 
 6787 
 
 6836 
 
 6885 
 
 6934 
 
 6983 
 
 7032 
 
 7081 
 
 7130 
 
 7179 
 
 7228 
 
 
 
 66 
 
 7277 
 
 7326 
 
 7375 
 
 7424 
 
 7473 
 
 7522 
 
 7571 
 
 7620 
 
 7669 
 
 77J8 
 
 
 
 67 
 
 7767 
 
 7816 
 
 7865 
 
 7914 
 
 7963 
 
 8012 
 
 8061 
 
 8110 
 
 8159 
 
 8208 
 
 
 
 68 
 
 8257 
 
 8306 
 
 8355 
 
 8404 
 
 8453 
 
 8502 
 
 8551 
 
 8600 
 
 8649 
 
 8698 
 
 
 
 69 
 
 8747 
 
 8796 
 
 8844 
 
 8893 
 
 8942 
 
 8991 
 
 9040 
 
 9089 
 
 9138 
 
 9187 
 
 
 
 8870 
 
 9236 
 
 9285 
 
 9334 
 
 9383 
 
 9432 
 
 9481 
 
 9530 
 
 9579 
 
 9628 
 
 9677 
 
 
 
 71 
 
 9726 
 
 9775 
 
 9824 
 
 9873 
 
 9922 
 
 9971 
 
 0020 
 
 0068 
 
 0117 
 
 0166 
 
 
 
 72 
 
 9480215 
 
 0264 
 
 0313 
 
 0362 
 
 0411 
 
 0460 
 
 0509 
 
 0558 
 
 0607 
 
 0656 
 
 
 
 73 
 
 0705 
 
 0754 
 
 0803 
 
 0852 
 
 0901 
 
 0950 
 
 0998 
 
 1047 
 
 1096 
 
 1145 
 
 
 
 74 
 
 1194 
 
 1243 
 
 1292 
 
 1341 
 
 1390 
 
 1439 
 
 1488 
 
 1537 
 
 1586 
 
 1635 
 
 
 
 75 
 
 1684 
 
 1733 
 
 1781 
 
 1830 
 
 1879 
 
 1928 
 
 1977 
 
 2026 
 
 2075 
 
 2124 
 
 
 
 76 
 
 2173 
 
 2222 
 
 2271 
 
 2320 
 
 2369 
 
 2418 
 
 2467 
 
 2515 
 
 2564 
 
 2613 
 
 
 
 77 
 
 2662 
 
 2711 
 
 2760 
 
 2809 
 
 2858 
 
 2907 
 
 2956 
 
 3005 
 
 3054 
 
 3102 
 
 
 
 78 
 
 3151 
 
 3200 
 
 3249 
 
 3298 
 
 3347 
 
 3396 
 
 3445 
 
 3494 
 
 3543 
 
 3592 
 
 
 
 79 
 
 3641 
 
 3689 
 
 3738 
 
 3787 
 
 3836 
 
 3885 
 
 3934 
 
 3983 
 
 4032 
 
 4081 
 
 
 
 8880 
 
 4130 
 
 4179 
 
 4227 
 
 4276 
 
 4325 
 
 4374 
 
 4423 
 
 4472 
 
 4521 
 
 4570 
 
 
 
 81 
 
 4619 
 
 4668 
 
 4717 
 
 4765 
 
 4814 
 
 4863 
 
 4912 
 
 4961 
 
 5010 
 
 5059 
 
 
 
 82 
 
 5108 
 
 5157 
 
 5205 
 
 5254 
 
 5303 
 
 5352 
 
 5401 
 
 5450 
 
 5499 
 
 5548 
 
 
 
 83 
 
 5597 
 
 5646 
 
 5694 
 
 5743 
 
 5792 
 
 5841 
 
 5890 
 
 5939 
 
 5988 
 
 6037 
 
 
 
 84 
 
 6085 
 
 6134 
 
 6183 
 
 6232 
 
 6281 
 
 6330 
 
 6379 
 
 6428 
 
 6477 
 
 6525 
 
 
 
 85 
 
 6574 
 
 6623 
 
 6672 
 
 6721 
 
 6770 
 
 6819 
 
 6868 
 
 6916 
 
 6965 
 
 7014 
 
 
 
 86 
 
 7063 
 
 7112 
 
 7161 
 
 7210 
 
 7259 
 
 7307 
 
 7356 
 
 7405 
 
 7454 
 
 7503 
 
 
 
 87 
 
 7552 
 
 7601 
 
 7650 
 
 7698 
 
 7747 
 
 7796 
 
 7845 
 
 7894 
 
 7943 
 
 7992 
 
 
 
 88 
 
 8040 
 
 8089 
 
 8138 
 
 8187 
 
 8236 
 
 8285 
 
 8334 
 
 8382 
 
 8431 
 
 8480 
 
 
 
 89 
 
 8529 
 
 8578 
 
 8627 
 
 8676 
 
 8724 
 
 8773 
 
 8822 
 
 8871 
 
 8920 
 
 8969 
 
 
 
 8890 
 
 9018 
 
 9066 
 
 9115 
 
 9164 
 
 9213 
 
 9262 
 
 9311 
 
 9360 
 
 9408 
 
 9457 
 
 
 
 91 
 
 9506 
 
 9555 
 
 9604 
 
 9653 
 
 9701 
 
 9750 
 
 9799 
 
 9848 
 
 9897 
 
 9946 
 
 
 
 92 
 
 9995 
 
 0043 
 
 0092 
 
 0141 
 
 0190 
 
 0239 
 
 0288 
 
 0336 
 
 0385 
 
 0434 
 
 
 48 
 
 93 
 
 9490483 
 
 0532 
 
 0581 
 
 0629 
 
 0678 
 
 0727 
 
 0776 
 
 0825 
 
 0874 
 
 0922 
 
 
 1 5 
 
 94 
 
 0971 
 
 1020 
 
 1069 
 
 1118 
 
 1167 
 
 1215 
 
 1264 
 
 1313 
 
 1362 
 
 1411 
 
 
 2 10 
 
 3 14 
 
 4 19 
 
 95 
 
 1460 
 
 1508 
 
 1557 
 
 1606 
 
 1655 
 
 1704 
 
 1752 
 
 1801 
 
 1850 
 
 1899 
 
 
 96 
 
 1948 
 
 1997 
 
 2045 
 
 2094 
 
 2143 
 
 2192 
 
 2241 
 
 2289 
 
 2338 
 
 2387 
 
 
 5 24 
 
 97 
 
 2436 
 
 2485 
 
 2534 
 
 2582 
 
 2631 
 
 2680 
 
 2729 
 
 2778 
 
 2826 
 
 2875 
 
 
 6 29 
 
 7 34 
 
 8 38 
 
 98 
 
 2924 
 
 2973 
 
 3022 
 
 3070 
 
 3119 
 
 3168 
 
 3217 
 
 3266 
 
 3314 
 
 3363 
 
 
 99 
 
 N. 
 
 3412 
 
 3461 
 
 3510 
 2 
 
 3558 
 
 3607 
 
 4 
 
 3656 
 5 
 
 3705 
 
 6 
 
 3754 
 
 7 1 
 
 3802 
 8 
 
 3851 
 
 9 
 
 D 
 
 9 43 
 
 Pts. 
 
 
 
 1 
 
 3 
 
 2 Y2 
 
(164 
 
 ) LOG A R r T H MS N . 8^ () L. 949 
 
 N. 
 
 8900 
 
 
 
 1 
 
 3949 
 
 2 
 3998 
 
 3 
 
 1()46 
 
 4 
 
 4095 
 
 5 
 
 4144 
 
 6 
 
 4193 
 
 7 
 
 4242 
 
 8 
 4290 
 
 9 
 
 4339 
 
 D 
 
 Pro. 
 
 9493.>00 
 
 01 
 
 43 8 S 
 
 4437 
 
 4486 
 
 4534 
 
 4583 
 
 4632 
 
 4681 
 
 4730 
 
 4778 
 
 4827 
 
 
 49 
 
 02 
 
 4876 
 
 4925 
 
 4973 
 
 5022 
 
 5071 
 
 5120 
 
 5169 
 
 5217 
 
 5266 
 
 5315 
 
 
 1 
 
 5 
 
 03 
 
 5361- 
 
 5413 
 
 5461 
 
 5510 
 
 5559 
 
 5608 
 
 5656 
 
 5705 
 
 5754 
 
 5803 
 
 
 2 
 
 10 
 
 04. 
 
 5852 
 
 5900 
 
 59 1-9 
 
 5998 
 
 6047 
 
 6095 
 
 6144 
 
 6193 
 
 6242 
 
 6290 
 
 
 3 
 4 
 
 15 
 
 20 
 
 05. 
 
 6339 
 
 6388 
 
 6437 
 
 6486 
 
 6534 
 
 6583 
 
 6632 
 
 6681 
 
 6729 
 
 6778 
 
 
 5 
 
 26 
 
 06 
 
 6827 
 
 6876 
 
 6924 
 
 6973 
 
 7022 
 
 7071 
 
 7119 
 
 7168 
 
 7217 
 
 7266 
 
 
 6 
 
 7 
 8 
 
 29 
 34 
 39 
 
 07 
 
 7315 
 
 7363 
 
 7412 
 
 7461 
 
 7510 
 
 7558 
 
 7607 
 
 7656 
 
 7705 
 
 7753 
 
 
 08 
 
 7802 
 
 7851 
 
 7900 
 
 7948 
 
 7997 
 
 8046 
 
 8095 
 
 8143 
 
 8192 
 
 8241 
 
 
 9 
 
 44 
 
 09 
 
 8290 
 
 8338 
 
 8387 
 
 8436 
 
 8485 
 
 8533 
 
 8582 
 
 8631 
 
 8680 
 
 8728. 
 
 
 
 8910 
 
 8777 
 
 8826 
 
 8875 
 
 8923 
 
 8972 
 
 9021 
 
 9069 
 
 9118 
 
 9167 
 
 9216 
 
 
 
 11 
 
 9264 
 
 i)313 
 
 9362 
 
 9411 
 
 9459 
 
 9508 
 
 9557 
 
 9606 
 
 9654 
 
 9703 
 
 
 
 12 
 
 9752 
 
 9801 
 
 9849 
 
 9898 
 
 9947 
 
 9995 
 
 0044 
 
 0093 
 
 0142 
 
 0190 
 
 
 
 13 
 
 9500239 
 
 0283 
 
 0337 
 
 0385 
 
 0434 
 
 0483 
 
 0531 
 
 0580 
 
 06^29 
 
 0678 
 
 
 
 14 
 
 0726 
 
 0775 
 
 0824 
 
 0872 
 
 0921 
 
 0970 
 
 1019 
 
 1067 
 
 in 6 
 
 ^1165 
 
 
 
 15 
 
 1213 
 
 1262 
 
 1311 
 
 1360 
 
 1408 
 
 1457 
 
 1506 
 
 1554 
 
 1603 
 
 1652 
 
 
 
 16 
 
 1701 
 
 1749 
 
 1798 
 
 1847 
 
 1895 
 
 1944 
 
 1993 
 
 2042 
 
 2090 
 
 2139 
 
 
 
 17 
 
 2188 
 
 2236 
 
 2285 
 
 2334 
 
 2382 
 
 243 1 
 
 2480 
 
 2529 
 
 2577 
 
 2626 
 
 
 
 IS 
 
 2675 
 
 2723 
 
 2772 
 
 2821 
 
 2869 
 
 2918 
 
 2967 
 
 3016 
 
 3064 
 
 3113 
 
 
 
 19 
 
 3162 
 
 3210 
 
 3259 
 
 3308 
 
 3356 
 
 3405 
 
 3454 
 
 3502 
 
 3551 
 
 3600 
 
 
 
 8920 
 
 3649 
 
 3697 
 
 3746 
 
 3795 
 
 3843 
 
 3892 
 
 3941 
 
 3989 
 
 4038 
 
 4087 
 
 
 
 21 
 
 4135 
 
 4184 
 
 4233 
 
 4281 
 
 4330 
 
 4379 
 
 4427 
 
 4476 
 
 4525 
 
 4574 
 
 
 
 22 
 
 4622 
 
 4671 
 
 4720 
 
 4768 
 
 4817 
 
 4866 
 
 4914 
 
 4963 
 
 50.2 
 
 5060 
 
 
 
 23 
 
 5109 
 
 5158 
 
 5206 
 
 5255 
 
 5304 
 
 5352 
 
 5401 
 
 5450 
 
 5498 
 
 5547 
 
 
 
 24 
 
 5596 
 
 5644 
 
 5693 
 
 5742 
 
 5790 
 
 5839 
 
 5888 
 
 5936 
 
 5985 
 
 6034 
 
 
 
 25 
 
 6082 
 
 6131 
 
 6180 
 
 6228 
 
 6277 
 
 6326 
 
 6374 
 
 6423 
 
 6472 
 
 6520 
 
 
 
 26 
 
 6569 
 
 6617 
 
 6f)66- 
 
 6715 
 
 6763 
 
 6812 
 
 6861 
 
 6909 
 
 6958 
 
 7007 
 
 
 
 27 
 
 7055 
 
 7104 
 
 7153 
 
 7201 
 
 7250 
 
 7299 
 
 7347 
 
 7396 
 
 7445 
 
 7493 
 
 
 
 28 
 
 7542 
 
 7590 
 
 7639 
 
 7688 
 
 7736 
 
 7785 
 
 7834 
 
 7882 
 
 7931 
 
 7^y80 
 
 
 
 29 
 
 8028 
 
 8077 
 
 8126 
 
 8174 
 
 8223 
 
 8271 
 
 8320 
 
 8369 
 
 8417 
 
 8466 
 
 
 
 8930 
 
 8515 
 
 8563 
 
 8612 
 
 8660 
 
 8709 
 
 8758 
 
 8806 
 
 8855 
 
 8904 
 
 8952 
 
 
 
 31 
 
 9001 
 
 9050 
 
 9098 
 
 9147 
 
 9195 
 
 9244 
 
 92^)3 
 
 9341 
 
 9390 
 
 9439 
 
 
 
 32 
 
 9487 
 
 9536 
 
 9584 
 
 9633 
 
 9682 
 
 9730 
 
 9779 
 
 9827 
 
 9876 
 
 9925 
 
 
 
 33 
 
 9973 
 
 0022 
 
 0071 
 
 0119 
 
 0168 
 
 0216 
 
 0265 
 
 0314 
 
 0362 
 
 0411 
 
 
 
 34 
 
 9510459. 
 
 0508 
 
 0557 
 
 0605 
 
 0654 
 
 0703 
 
 0751 
 
 0800 
 
 0848 
 
 0897 
 
 
 
 3.-. 
 
 0946 
 
 0994 
 
 1043 
 
 1091 
 
 1140 
 
 1189 
 
 1237 
 
 1286 
 
 1334 
 
 1383 
 
 
 
 5Q 
 
 1432 
 
 1480 
 
 1529 
 
 1577 
 
 1626 
 
 1675 
 
 1723 
 
 1772 
 
 1820 
 
 1869 
 
 
 
 37 
 
 1918 
 
 1966 
 
 2015 
 
 2063 
 
 2112 
 
 2161 
 
 2209 
 
 2258 
 
 2306 
 
 2355 
 
 
 
 38 
 
 2404 
 
 2452 
 
 2501 
 
 2549 
 
 2598 
 
 2646 
 
 2695 
 
 2744 
 
 2792 
 
 2841 
 
 
 
 39 
 
 2889 
 
 2938 
 
 2987 
 
 3035 
 
 3084 
 
 3132 
 
 3181 
 
 3229 
 
 3278 
 
 3327 
 
 
 
 8940 
 
 3375 
 
 3424 
 
 3472 
 
 3521 
 
 3569 
 
 3618 
 
 3667 
 
 3715 
 
 3764 
 
 3812 
 
 
 
 41 
 
 3861 
 
 39 10 1 3958 
 
 4007 
 
 4055 
 
 4104 
 
 4152 
 
 4201 
 
 4250 
 
 4298 
 
 
 
 42 
 
 4347 
 
 4395 
 
 4444 
 
 4492 
 
 4541 
 
 4589 
 
 4638 
 
 4687 
 
 4735 
 
 4784 
 
 
 48 
 
 43 
 
 4832 
 
 4881 
 
 4929 
 
 4978 
 
 5027 
 
 5075 
 
 5124 
 
 5172 
 
 5221 
 
 5269 
 
 
 1 
 
 5 
 
 44 
 
 5318 
 
 5366 
 
 5415 
 
 5464 
 
 5512 
 
 5561 
 
 5609 
 
 5658 
 
 5706 
 
 5755 
 
 
 2 
 3 
 
 10 
 14 
 
 . 45 
 
 5803 
 
 5852 
 
 5901 
 
 5949 
 
 5998 
 
 6046 
 
 6095 
 
 6143 
 
 6192 
 
 6240 
 
 
 4 
 
 19 
 
 46 
 
 6289 
 
 6337 
 
 6386 
 
 6435 
 
 6483 
 
 6532 
 
 6580 
 
 6629 
 
 6677 
 
 6720 
 
 
 6 
 
 24 
 
 47 
 
 6774 
 
 6823 
 
 6871 
 
 6920 
 
 6969 
 
 7017 
 
 7066 
 
 7114 
 
 7163 
 
 7211 
 
 
 6 
 7 
 
 8 
 
 29 
 54 
 
 48 
 
 7260 
 
 7308 
 
 7357 
 
 7405 
 
 7454 
 
 7502 
 
 7551 
 
 7599 
 
 7648 
 
 7697 
 
 
 38 
 
 49 
 
 7745 
 
 7794 
 
 7842 
 
 7891 
 
 7939 
 
 7988 
 
 8056 
 
 8085 
 
 8133 
 
 8182 
 
 
 9 
 
 43 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 g.\ 
 
 D 
 
 Pts. 
 
iV.895 L.95I OF NUMBERS. (l66)\ 
 
 N. 
 
 8950 
 
 
 
 1 
 
 8279 
 
 2 
 
 8327 
 
 3 
 
 8376 
 
 4 
 
 8424 
 
 5 
 
 8473 
 
 6 
 
 8521 
 
 7 
 
 8570 
 
 8 
 
 8619 
 
 9 
 
 S667 
 
 D 
 
 Pro. 
 
 9518230 
 
 51 
 
 8716 
 
 8764 
 
 8813 
 
 8861 
 
 8910 
 
 8958 
 
 9007 
 
 9035 
 
 9104 
 
 9152 
 
 
 49 
 
 52 
 
 9201 
 
 9249 
 
 9298 
 
 9346 
 
 9395 
 
 9443 
 
 9492 
 
 9540 
 
 9589 
 
 9637 
 
 
 1 
 
 5 
 
 53 
 
 9686 
 
 9734 
 
 Q783 
 
 9831 
 
 9880 
 
 9928 
 
 9977 
 
 S025 
 
 0074 
 
 0122 
 
 
 2 
 
 10 
 
 54 
 
 9520171 
 
 0219 
 
 0268 
 
 0316 
 
 0365 
 
 0413 
 
 0462 
 
 0510 
 
 0559 
 
 0607 
 
 
 3 
 4 
 
 15 
 20 
 
 55 
 
 0656 
 
 0704 
 
 0753 
 
 0801 
 
 0850 
 
 0898 
 
 0947 
 
 0995 
 
 1044 
 
 1092 
 
 
 5 
 
 25 
 
 56 
 
 1141 
 
 1189 
 
 1238 
 
 1286 
 
 1335 
 
 1383 
 
 1432 
 
 1480 
 
 1529 
 
 1577 
 
 
 6 
 
 7 
 8 
 9 
 
 29 
 
 51 
 
 1626 
 
 1674 
 
 1723 
 
 1771 
 
 1820 
 
 1868 
 
 1917 
 
 1965 
 
 2014 
 
 2062 
 
 
 34 
 39 
 44 
 
 58 
 
 2111 
 
 2159 
 
 2208 
 
 2256 
 
 2305 
 
 2353 
 
 2401 
 
 2450 
 
 2498 
 
 2547 
 
 
 59 
 
 2595 
 
 2644 
 
 2692 
 
 2741 
 
 2789 
 
 2838 
 
 2886 
 
 2935 
 
 2983 
 
 3032 
 
 
 
 8960 
 
 3080 
 
 3129 
 
 3177 
 
 3226 
 
 3274 
 
 3322 
 
 3371 
 
 3419 
 
 3468 
 
 35]6 
 
 
 
 61 
 
 3565 
 
 3613 
 
 3662 
 
 3710 
 
 3759 
 
 3807 
 
 3856 
 
 3904 
 
 3952 
 
 4001 
 
 
 
 62 
 
 4049 
 
 4098 
 
 4146 
 
 4195 
 
 4243 
 
 4292 
 
 4340 
 
 438Q 
 
 4437 
 
 4486 
 
 
 
 63 
 
 4534 
 
 4582 
 
 4631 
 
 4679 
 
 4728 
 
 4776 
 
 4825 
 
 4873 
 
 4922 
 
 4970 
 
 
 
 64 
 
 5018 
 
 5067 
 
 5115 
 
 5164 
 
 5212 
 
 5261 
 
 5309 
 
 5358 
 
 5406 
 
 5454 
 
 
 
 65 
 
 5503 
 
 5551 
 
 5600 
 
 5648 
 
 5697 
 
 5745 
 
 5794 
 
 5842 
 
 5890 
 
 5939 
 
 
 
 66 
 
 5987 
 
 6036 
 
 6084 
 
 6133 
 
 6181 
 
 6230 
 
 6278 
 
 6326 
 
 6375 
 
 6423 
 
 
 
 67 
 
 6472 
 
 6520 
 
 6569 
 
 6617 
 
 6665 
 
 6714 
 
 6762 
 
 6811 
 
 6859 
 
 6908 
 
 
 
 68 
 
 6956 
 
 7004 
 
 7053 
 
 7101 
 
 7150 
 
 7198 
 
 7247 
 
 7295 
 
 7343 
 
 7392 
 
 
 
 69 
 
 7440 
 
 7489 
 
 7537 
 
 7586 
 
 7634 
 
 7682 
 
 7731 
 
 7779 
 
 7828 
 
 7876 
 
 
 
 3970 
 
 7924 
 
 7973 
 
 8021 
 
 8070 
 
 8118 
 
 8167 
 
 8215 
 
 8263 
 
 8312 
 
 8360 
 
 
 
 71 
 
 8409 
 
 8457 
 
 8505 
 
 8554 
 
 8602 
 
 8651 
 
 8699 
 
 8747 
 
 8796 
 
 8844 
 
 
 
 72 
 
 8893 
 
 8941 
 
 8989 
 
 9038 
 
 9086 
 
 9135 
 
 9183 
 
 9231 
 
 9280 
 
 9328 
 
 
 
 73 
 
 9377 
 
 9425 
 
 9473 
 
 9522 
 
 9570 
 
 9619 
 
 9667 
 
 9715 
 
 9764 
 
 9812 
 
 
 
 74 
 
 9861 
 
 9909 
 
 9957 
 
 0006 
 
 0054 
 
 0103 
 
 0151 
 
 0199 
 
 0248 
 
 0296 
 
 
 
 75 
 
 9530345 
 
 0393 
 
 0441 
 
 0490 
 
 0538 
 
 0587 
 
 0635 
 
 0683 
 
 0732 
 
 0780 
 
 
 
 76 
 
 0828 
 
 0877 
 
 0925 
 
 0974 
 
 1022 
 
 1070 
 
 1119 
 
 1167 
 
 1215 
 
 1264 
 
 
 
 77 
 
 1312 
 
 1361 
 
 1409 
 
 1457 
 
 1506 
 
 1554 
 
 1603 
 
 1651 
 
 1699 
 
 1748 
 
 
 
 78 
 
 1796 
 
 1844 
 
 1893 
 
 1941 
 
 1989 
 
 2038 
 
 2086 
 
 2135 
 
 2183 
 
 2231 
 
 
 
 79 
 
 2280 
 
 2328 
 
 2376 
 
 2425 
 
 2473 
 
 2522 
 
 2570 
 
 2618 
 
 2667 
 
 2715 
 
 
 
 8980 
 
 2763 
 
 2812 
 
 2860 
 
 2908 
 
 2957 
 
 3005 
 
 3054 
 
 3102 
 
 3150 
 
 3199 
 
 
 
 81 
 
 3247 
 
 3295 
 
 3344 
 
 3392 
 
 3440 
 
 3489 
 
 3537 
 
 3585 
 
 3634 
 
 3682 
 
 
 
 82 
 
 3731 
 
 3779 
 
 3827 
 
 3876 
 
 3924 
 
 3972 
 
 4021 
 
 4069 
 
 4117 
 
 4166 
 
 
 
 83 
 
 4214 
 
 4262 
 
 4311 
 
 4359 
 
 4407 
 
 4456 
 
 4504 
 
 4552 
 
 4601 
 
 4649 
 
 
 
 84 
 
 4697 
 
 4746 
 
 4794 
 
 4842 
 
 4891 
 
 4939 
 
 4987 
 
 5036 
 
 5084 
 
 5132 
 
 
 
 85 
 
 5181 
 
 5229 
 
 5277 
 
 5326 
 
 5374 
 
 5422 
 
 5471 
 
 5519 
 
 5567 
 
 5616 
 
 
 
 86 
 
 5664 
 
 5712 
 
 5761 
 
 5809 
 
 5857 
 
 5906 
 
 5954 
 
 6002 
 
 6051 
 
 6099 
 
 
 
 87 
 
 6147 
 
 6196 
 
 6244 
 
 6292 
 
 6341 
 
 6389 
 
 6437 
 
 6486 
 
 6534 
 
 6582 
 
 
 
 88 
 
 6631 
 
 6679 
 
 6727 
 
 6776 
 
 6824 
 
 6872 
 
 6921 
 
 6969 
 
 7017 
 
 7065 
 
 
 
 89' 
 
 7114 
 
 7162 
 
 7210 
 
 7259 
 
 7307 
 
 7355 
 
 7404 
 
 7452 
 
 7500 
 
 7549 
 
 
 
 8990 
 
 7597 
 
 7645 
 
 7694 
 
 7742 
 
 7790 
 
 7838 
 
 7887 
 
 7935 
 
 7983 
 
 8032 
 
 
 
 91 
 
 8080 
 
 8128 
 
 8177 
 
 8225 
 
 8273 
 
 8321 
 
 8370 
 
 8418 
 
 8466 
 
 8515 
 
 
 
 92 
 
 8563 
 
 8611 
 
 8660 
 
 8708 
 
 8756 
 
 8804 
 
 8853 
 
 8901 
 
 8949 
 
 8998 
 
 
 48 1 
 
 93 
 
 9046 
 
 9094 
 
 9143 
 
 9191 
 
 9239 
 
 9287 
 
 9336 
 
 9384 
 
 9432 
 
 9481 
 
 
 1 
 
 6 
 
 94 
 
 9529 
 
 9577 
 
 9625 
 
 9674 
 
 9722 
 
 9770 
 
 9819 
 
 9867 
 
 9915 
 
 9963 
 
 
 2 
 3 
 
 10 
 14 
 
 95 
 
 9540012 
 
 0060 
 
 0108 
 
 0157 
 
 0205 
 
 0253 
 
 0301 
 
 0350 
 
 0398 
 
 0446 
 
 
 4 
 
 19 
 
 96 
 
 0494 
 
 0543 
 
 0591 
 
 0639 
 
 0688 
 
 0736 
 
 0784 
 
 0832 
 
 0881 
 
 0929 
 
 
 6 
 
 24 
 
 97 
 
 0977 
 
 1025 
 
 1074 
 
 1122 
 
 1170 
 
 1219 
 
 1267 
 
 1315 
 
 1363 
 
 1412 
 
 
 6 
 7 
 
 8 
 
 29 
 34 
 38 
 
 98 
 
 1460 
 
 1508 
 
 1556 
 
 1605 
 
 1653 
 
 1701 
 
 1749 
 
 1798 
 
 1846 
 
 1894 
 
 
 99 
 
 1943 
 
 1991 
 
 2039 |2087 
 
 2136 
 
 4 
 
 2184 
 5 
 
 2232 
 
 6 
 
 2280 
 
 7 
 
 2329 
 
 2377 
 
 9~ 
 
 I) 
 
 9 
 
 43 
 
 
 
 1 
 
 2 
 
 1 3 
 
 8 
 
 1 
 
 hs. 
 
( 16'6) LOGARITHMS N-.QOO L. .954 
 
 N. 
 yooo 
 
 
 
 1 
 
 2473 
 
 2 
 2522 
 
 3 
 
 2570 
 
 4 
 
 2618 
 
 5 
 
 2666 
 
 6 
 
 2715 
 
 7 
 
 2763 
 
 8 
 
 2811 
 
 9 
 
 2859 
 
 1) 
 
 Pro. 
 
 9542425 
 
 01 
 
 2908 
 
 2956 
 
 3004 
 
 3052 
 
 3101 
 
 3149 
 
 3197 
 
 3245 
 
 3294 
 
 3342 
 
 
 49 
 
 02 
 
 3390 
 
 3438 
 
 3487 
 
 3535 
 
 3583 
 
 3631 
 
 3680 
 
 3728 
 
 3776 
 
 3824 
 
 
 1 
 
 5 
 
 03 
 
 3873 
 
 3921 
 
 3969 
 
 4017 
 
 4065 
 
 4114 
 
 4162 
 
 4210 
 
 4258 
 
 4307 
 
 
 2 
 3 
 4 
 
 10 
 15 
 
 '20 
 
 04 
 
 4355 
 
 4403 
 
 4451 
 
 4500 
 
 4548 
 
 4596 
 
 4644 
 
 4692 
 
 4741 
 
 4789 
 
 
 05 
 
 4837 
 
 4885 
 
 4934 
 
 4982 
 
 5030 
 
 5078 
 
 5127 
 
 5175 
 
 5223 
 
 5271 
 
 
 5 
 
 25 
 
 06 
 
 5319 
 
 5368 
 
 5416 
 
 5464 
 
 5512 
 
 5561 
 
 5609 
 
 5657 
 
 5705 
 
 5753 
 
 
 6 
 
 7 
 g 
 
 29 
 
 34 
 39 
 
 07 
 
 5802 
 
 5850 
 
 5898 
 
 5946 
 
 5994 
 
 6043 
 
 6091 
 
 6139 
 
 6187 
 
 6236 
 
 
 08 
 
 6284 
 
 6332 
 
 6380 
 
 6428 
 
 6477 
 
 6525 
 
 6573 
 
 6621 
 
 6669 
 
 6718 
 
 
 9 
 
 44 
 
 oy 
 
 6766 
 
 6814 
 
 6862 
 
 6910 
 
 6959 
 
 7007 
 
 7055 
 
 7103 
 
 7152 
 
 7200 
 
 
 
 9010 
 
 7248 
 
 7296 
 
 7344 
 
 7393 
 
 7441 
 
 7489 
 
 7537 
 
 7585 
 
 7654 
 
 7682 
 
 
 
 1] 
 
 7730 
 
 7778 
 
 7826 
 
 7874 
 
 7923 
 
 7971 
 
 8019 
 
 8067 
 
 8115 
 
 8164 
 
 
 
 12 
 
 8212 
 
 8260 
 
 8308 
 
 8356 
 
 8405 
 
 8453 
 
 8501 
 
 8549 
 
 8597 
 
 8646 
 
 
 
 13 
 
 8694 
 
 8742 
 
 8790 
 
 8838 
 
 8886 
 
 8935 
 
 8983 
 
 9031 
 
 9079 
 
 9127 
 
 
 
 14 
 
 9176 
 
 9224 
 
 9272 
 
 9320 
 
 9368 
 
 9416 
 
 9465 
 
 9513 
 
 9561 
 
 9609 
 
 
 
 15 
 
 9657 
 
 9705 
 
 9754 
 
 9802 
 
 9850 
 
 9S98 
 
 9946 
 
 9995 
 
 0043 
 
 0091 
 
 
 
 16 
 
 9550139 
 
 0187 
 
 0235 
 
 0284 
 
 0332 
 
 0380 
 
 0428 
 
 0476 
 
 0524 
 
 0573 
 
 
 
 17 
 
 0621 
 
 0669 
 
 0717 
 
 0765 
 
 0813 
 
 0862 
 
 0910 
 
 0958 
 
 1006 
 
 1054 
 
 
 
 18 
 
 1102 
 
 1150 
 
 1199 
 
 1247 
 
 1295 
 
 1343 
 
 1391 
 
 M'39 
 
 1488 
 
 1536 
 
 
 
 19 
 
 1584 
 
 1632 
 
 1680 
 
 1728 
 
 1776 
 
 1825 
 
 1873 
 
 1921 
 
 1969 
 
 2017 
 
 
 
 9020 
 
 2065 
 
 2114 
 
 2162 
 
 2210 
 
 2258 
 
 2306 
 
 2354 
 
 2402 
 
 2451 
 
 2499 
 
 
 
 21 
 
 2547 
 
 2595 
 
 2643 
 
 2691 
 
 2739 
 
 2788 
 
 2836 
 
 2884 
 
 2932 
 
 2980 
 
 
 
 22 
 
 3028 
 
 3076 
 
 3125 
 
 3173 
 
 3221 
 
 3269 
 
 3317 
 
 3365 
 
 3413 
 
 3461 
 
 
 
 2.3 
 
 3510 
 
 3558 
 
 3606 
 
 3654 
 
 3702 
 
 3750 
 
 3798 
 
 3846 
 
 3895 
 
 3943 
 
 
 
 24 
 
 3991 
 
 4039 
 
 4087 
 
 4135 
 
 4183 
 
 4231 
 
 4280 
 
 4328 
 
 4376 
 
 4424 
 
 
 
 25 
 
 4472 
 
 4520 
 
 4568 
 
 4616 
 
 4665 
 
 4713 
 
 4761 
 
 4809 
 
 4857 
 
 4905 
 
 
 
 26 
 
 4953 
 
 5001 
 
 5050 
 
 5098 
 
 5146 
 
 5194 
 
 5242 
 
 5290 
 
 5338 
 
 5386 
 
 
 
 27 
 
 5434 
 
 5483 
 
 5531 
 
 5579 
 
 5627 
 
 5675 
 
 5723 
 
 5771 
 
 5819 
 
 5867 
 
 
 
 28 
 
 5916 
 
 5964 
 
 6012 
 
 6060 
 
 6108 
 
 6156 
 
 6204 
 
 6252 
 
 6300 
 
 6348 
 
 
 
 29 
 
 6397 
 
 6445 
 
 6493 
 
 6541 
 
 6589 
 
 6637 
 
 6685 
 
 6733 
 
 6781 
 
 6829 
 
 
 
 9030 
 
 6878 
 
 6926 
 
 6974 
 
 7022 
 
 7070 
 
 7118 
 
 7166 
 
 7214 
 
 7262 
 
 7310 
 
 
 
 31 
 
 7358 
 
 7407 
 
 7455 
 
 7503 
 
 7551 
 
 7599 
 
 7647 
 
 7695 
 
 7743 
 
 7791 
 
 
 
 32 
 
 7839 
 
 7887 
 
 7935 
 
 7984 
 
 8032 
 
 8080 
 
 8128 
 
 8176 
 
 8224 
 
 8272 
 
 
 
 33 
 
 8320 
 
 8368 
 
 8416 
 
 8464 
 
 8512 
 
 8560 
 
 8609 
 
 8657 
 
 8705 
 
 8753 
 
 
 
 34 
 
 8801 
 
 8849 
 
 8897 
 
 8945 
 
 8993 
 
 9041 
 
 9089 
 
 9137 
 
 9185 
 
 9234 
 
 
 
 35 
 
 9282 
 
 9330 
 
 9378 
 
 9426 
 
 9474 
 
 9522 
 
 9570 
 
 9618 
 
 9666 
 
 9714 
 
 
 
 S6 
 
 9762 
 
 9810 
 
 9858 
 
 9906 
 
 9954 
 
 0003 
 
 0051 
 
 0099 
 
 0147 
 
 0195 
 
 
 
 37 
 
 9560243 
 
 0291 
 
 0339 
 
 0387 
 
 0435 
 
 0483 
 
 0531 
 
 0579 
 
 0627 
 
 0675 
 
 
 
 38 
 
 0723 
 
 0771 
 
 0819 
 
 0868 
 
 0916 
 
 0964 
 
 1012 
 
 1060 
 
 1108 
 
 1156 
 
 
 
 39 
 
 1204 
 
 1252 
 
 1300 
 
 1348 
 
 1396 
 
 1444 
 
 1492 
 
 1540 
 
 1588 
 
 1636 
 
 
 
 9040 
 
 1684 
 
 1732 
 
 1780 
 
 1828 
 
 1876 
 
 1925 
 
 1973 
 
 2021 
 
 2069 
 
 2117 
 
 
 
 41 
 
 2165 
 
 2213 
 
 2261 
 
 2309 
 
 2357 
 
 2405 
 
 2453 
 
 2501 
 
 2549 
 
 2597 
 
 
 
 42 
 
 2645 
 
 2693 
 
 2741 
 
 2789 
 
 2837 
 
 2885 
 
 2933 
 
 2981 
 
 3029 
 
 3077 
 
 
 48 
 
 43 
 
 3125 
 
 3173 
 
 3221 
 
 3269 
 
 3317 
 
 3365 
 
 3413 
 
 3461 
 
 3509 
 
 3558 
 
 
 1 
 
 5 
 
 44 
 
 3606 
 
 3654 
 
 3702 
 
 3750 
 
 3798 
 
 3846 
 
 3894 
 
 3942 
 
 3990 
 
 4038 
 
 
 2 
 3 
 
 10 
 14 
 
 45 
 
 4086 
 
 4134 
 
 4182 
 
 4230 
 
 4278 
 
 4326 
 
 4374 
 
 4422 
 
 4470 
 
 4518 
 
 
 4 
 
 19 
 
 46 
 
 4566 
 
 4614 
 
 4662 
 
 4710 
 
 4758 
 
 4806 
 
 4854 
 
 4902 
 
 4950 
 
 4998 
 
 
 5 
 
 24 
 
 47 
 
 5046 
 
 5094 
 
 5142 
 
 5190 
 
 5238 
 
 5286 
 
 5334 
 
 5382 
 
 5430 
 
 5478 
 
 48 
 
 6 
 
 7 
 8 
 
 29 
 
 34 
 38 
 
 48 
 
 5526 
 
 5574 
 
 5622 
 
 5670 
 
 5718 
 
 5766 
 
 5814 
 
 5862 
 
 5910 
 
 5958 
 
 T'O 
 
 49 
 
 N. 
 
 6006 
 
 6054 
 1 
 
 6102 
 
 6150 
 
 3 
 
 6198 
 4 
 
 6246 
 
 6294 
 
 6342 
 
 7 
 
 6390 
 8 
 
 6438 
 
 9 
 
 
 9 
 
 43 
 
 
 
 5 
 
 6 
 
 D 
 
 Pts. 
 
N..905 L.956 OF NUMBERS. (167) 
 
 N. 
 
 
 
 1 
 
 Q 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pro. 
 
 9050 
 
 956Q^?>Q 
 
 6534 
 
 6582 
 
 6630 
 
 6678 
 
 6726 
 
 6774 
 
 6822 
 
 6870 
 
 6918 
 
 
 
 51 
 
 6966 
 
 7014 
 
 7062 
 
 7110 
 
 7158 
 
 7206 
 
 7254 
 
 7302 
 
 7349 
 
 7397 
 
 
 48 
 
 52 
 
 7445 
 
 7493 
 
 7541 
 
 7589 
 
 7637 
 
 7685 
 
 7733 
 
 7781 
 
 7829 
 
 7877 
 
 
 1 5 
 
 53 
 
 7925 
 
 7973 
 
 8021 
 
 8069 
 
 8117 
 
 8165 
 
 8213 
 
 3261 
 
 8309 
 
 8357 
 
 
 2 10 
 
 3 14 
 
 4 19 
 
 54 
 
 8405 
 
 8453 
 
 8501 
 
 8549 
 
 8597 
 
 8645 
 
 8693 
 
 8741 
 
 8789 
 
 8837 
 
 
 55 
 
 8885 
 
 8933 
 
 8980 
 
 9028 
 
 9076 
 
 9124 
 
 9172 
 
 9220 
 
 9268 
 
 9316 
 
 
 5 24 
 
 56 
 
 9364 
 
 9412 
 
 9460 
 
 9508 
 
 9556 
 
 9604 
 
 9652 
 
 9700 
 
 9748 
 
 9796 
 
 
 6 29 
 
 7 34 
 
 8 38 
 
 51 
 
 9844 
 
 9892 
 
 9940 
 
 9988 
 
 U035 
 
 0083 
 
 0131 
 
 0179 
 
 0227 
 
 0275 
 
 
 58 
 
 9570323 
 
 0371 
 
 0419 
 
 0467 
 
 0515 
 
 0563 
 
 0611 
 
 0659 
 
 0707 
 
 0755 
 
 
 9 43 
 
 59 
 
 0803 
 
 0851 
 
 0898 
 
 0946 
 
 0994 
 
 1042 
 
 1090 
 
 1138 
 
 1186 
 
 1234 
 
 
 
 9060 
 
 1282 
 
 1330 
 
 1378 
 
 1426 
 
 1474 
 
 1522 
 
 1570 
 
 1618 
 
 1665 
 
 1713 
 
 
 
 61 
 
 1761 
 
 1809 
 
 1857 
 
 1905 
 
 1953 
 
 2001 
 
 2049 
 
 2097 
 
 2145 
 
 2193 
 
 
 
 62 
 
 2241 
 
 2289 
 
 2336 
 
 2384 
 
 2432 
 
 2480 
 
 2528 
 
 2576 
 
 2624 
 
 2672 
 
 
 
 63 
 
 2720 
 
 2768 
 
 2816 
 
 2864 
 
 2911 
 
 2959 
 
 3007 
 
 3055 
 
 3103 
 
 3151 
 
 
 
 64 
 
 3199 
 
 3247 
 
 3295 
 
 3343 
 
 3391 
 
 3439 
 
 3486 
 
 3534 
 
 3582 
 
 3^30 
 
 
 
 Q5 
 
 3678 
 
 3726 
 
 3774 
 
 3822 
 
 3870 
 
 3918 
 
 3966 
 
 4013 
 
 4061 
 
 4109 
 
 
 
 m 
 
 4157 
 
 4205 
 
 4253 
 
 4301 
 
 4349 
 
 4397 
 
 4445 
 
 4492 
 
 4540 
 
 4588 
 
 
 
 67 
 
 4636 
 
 4684 
 
 4732 
 
 4780 
 
 4828 
 
 4876 
 
 4924 
 
 4971 
 
 5019 
 
 5067 
 
 
 
 6S 
 
 5115 
 
 5163 
 
 5211 
 
 5259 
 
 5307 
 
 5355 
 
 5402 
 
 5450 
 
 5498 
 
 5546 
 
 
 
 69 
 
 5594 
 
 5642 
 
 5690 
 
 5738 
 
 5786 
 
 5833 
 
 5881 
 
 5929 
 
 5977 
 
 6025 
 
 
 
 9070 
 
 6073 
 
 6121 
 
 6169 
 
 6217 
 
 6264 
 
 6312 
 
 6360 
 
 6408 
 
 0887 
 
 6456 
 
 6504 
 
 
 
 71 
 
 Q55^ 
 
 6600 
 
 6647 
 
 6695 
 
 6743 
 
 6791 
 
 6839 
 
 6935 
 
 6983 
 
 
 
 72 
 
 7030 
 
 7078 
 
 7126 
 
 7174 
 
 7222 
 
 7270 
 
 7318 
 
 7366 
 
 7413 
 
 7461 
 
 
 
 73 
 
 7509 
 
 7557 
 
 7605 
 
 7653 
 
 7701 
 
 7748 
 
 7796 
 
 7844 
 
 7892 
 
 7940 
 
 
 
 74 
 
 7988 
 
 8036 
 
 8083 
 
 8131 
 
 8179 
 
 8227 
 
 8275 
 
 8323 
 
 8371 
 
 8418 
 
 
 
 75 
 
 8466 
 
 8514 
 
 8562 
 
 8610 
 
 8658 
 
 8706 
 
 8753 
 
 8801 
 
 8849 
 
 8897 
 
 
 
 . 76 
 
 8945 
 
 8993 
 
 9041 
 
 9088 
 
 9136 
 
 9184 
 
 9232 
 
 9280 
 
 9328 
 
 9376 
 
 
 
 \ 77 
 
 9423 
 
 9471 
 
 9519 
 
 9567 
 
 9615 
 
 9663 
 
 9710 
 
 9758 
 
 9806 
 
 9854 
 
 
 
 78 
 
 9902 
 
 9950 
 
 9997 
 
 0045 
 
 0093 
 
 0141 
 
 0189 
 
 0237 
 
 0284 
 
 0332 
 
 
 
 79 
 
 9580380 
 
 0428 
 
 0476 
 
 0524 
 
 0571 
 
 0619 
 
 0667 
 
 0715 
 
 0763 
 
 0811 
 
 
 
 9080 
 
 0858 
 
 0906 
 
 0954 
 
 1002 
 
 1050 
 
 1098 
 
 1145 
 
 1193 
 
 1241 
 
 1289 
 
 
 
 81 
 
 1337 
 
 1385 
 
 1432 
 
 1480 
 
 1528 
 
 1576 
 
 1624 
 
 1672 
 
 1719 
 
 1767 
 
 
 
 82 
 
 1815 
 
 1863 
 
 1911 
 
 1958 
 
 2006 
 
 2054 
 
 2102 
 
 2150 
 
 2198 
 
 2245 
 
 
 
 83 
 
 2293 
 
 2341 
 
 2389 
 
 2437 
 
 2184 
 
 2532 
 
 2580 
 
 2628 
 
 2676 
 
 2723 
 
 
 
 84 
 
 2771 
 
 2819 
 
 2867 
 
 2915 
 
 2962 
 
 3010 
 
 3058 
 
 3106 
 
 3154 
 
 3202 
 
 
 
 85 
 
 3249 
 
 3297 
 
 3345 
 
 3393 
 
 3441 
 
 3488 
 
 3536 
 
 3584 
 
 3632 
 
 3680 
 
 
 
 86 
 
 3727 
 
 3775 
 
 3823 
 
 3871 
 
 3919 
 
 3966 
 
 4014 
 
 4062 
 
 4110 
 
 4157 
 
 
 
 87 
 
 4205 
 
 4253 
 
 4301 
 
 4349 
 
 4396 
 
 4444 
 
 4492 
 
 4540 
 
 4588 
 
 4635 
 
 
 
 88 
 
 4683 
 
 4731 
 
 4779 
 
 4827 
 
 4874 
 
 4922 
 
 4970 
 
 5018 
 
 5065 
 
 5113 
 
 
 
 89 
 
 5161 
 
 5209 
 
 5257 
 
 5304 
 
 5352 
 
 5400 
 
 5448 
 
 5495 
 
 5543 
 
 5591 
 
 
 
 9090 
 
 5639 
 
 5687 
 
 5734 
 
 5782 
 
 5830 
 
 5878 
 
 5925 
 
 5973 
 
 6021 
 
 6069 
 
 
 
 01 
 
 6117 
 
 6164 
 
 6212 
 
 6260 
 
 6308 
 
 6355 
 
 6403 
 
 6>5l 
 
 6499 
 
 6547 
 
 
 
 92 
 
 6594 
 
 6642 
 
 6690 
 
 6738 
 
 6785 
 
 6833 
 
 6881 
 
 6929 
 
 6976 
 
 7024 
 
 
 47 
 
 93 
 
 7072 
 
 7120 
 
 7167 
 
 7215 
 
 7263 
 
 7311 
 
 7358 
 
 7406 
 
 7454 
 
 7502 
 
 
 1 5 
 
 94 
 
 7549 
 
 7597 
 
 7645 
 
 7693 
 
 7741 
 
 7738 
 
 7836 
 
 7884 
 
 7932 
 
 7979 
 
 
 2 9 
 
 3 14 
 
 95 
 
 8027 
 
 8075 
 
 8123 
 
 8170 
 
 8218 
 
 8266 
 
 8314 
 
 8361 
 
 8409 
 
 8457 
 
 
 4 19 
 
 96 
 
 8505 
 
 8552 
 
 8600 
 
 8648 
 
 86.95 
 
 8743 
 
 8791 
 
 8839 
 
 8886 
 
 8934 
 
 
 5 24 
 
 6 28 
 733 
 
 8 38 
 
 97 
 
 8982 
 
 9030 
 
 9077 
 
 9125 
 
 9173 
 
 9221 
 
 9268 
 
 9316 
 
 9364 
 
 9412 
 
 
 9B 
 
 9459 
 
 9507 
 
 9555 
 
 9603 
 
 9650 
 
 9698 
 
 9746 
 
 9793 
 
 9841 
 
 9889 
 
 
 99 
 
 9937 
 
 9984 
 1 
 
 0032 
 
 0080 
 
 3 
 
 0128 
 "4" 
 
 0175 
 
 5 
 
 0223 
 
 ~6~ 
 
 0271 
 
 7 
 
 0318 
 8 
 
 0366 
 
 9 
 
 d| 
 
 9 42 
 
 Pts. 
 
 
 
((\6S) LOGARITHMS N.^IO L, 959 
 
 9100 
 
 
 
 1 
 
 0462 
 
 2 
 0509 
 
 3 
 
 0557 
 
 4 
 
 0605 
 
 5 
 
 0653 
 
 6 
 
 0700 
 
 7 
 
 - 8 
 
 0796 
 
 9 
 
 0843 
 
 D 
 
 Pro. 
 
 J590414 
 
 0748 
 
 
 0} 
 
 0S91 
 
 093 Q 
 
 0937 
 
 1034 
 
 1082 
 
 1130 
 
 1177 
 
 1225 
 
 1273 
 
 1321 
 
 
 48 
 
 02 
 
 1368 
 
 1416 
 
 1464 
 
 1511 
 
 1559 
 
 1607 
 
 1655 
 
 1702 
 
 1750 
 
 1798 
 
 
 1 5 
 
 03 
 
 1845 
 
 1893 
 
 194! 
 
 1989 
 
 2036 
 
 2084 
 
 2132 
 
 2179 
 
 2227 
 
 2275 
 
 
 2 10 
 
 3 14 
 
 4 19 
 
 04 
 
 2322 
 
 2370 
 
 2418 
 
 2466 
 
 2513 
 
 2561 
 
 2609 
 
 2656 
 
 2704 
 
 2752 
 
 
 05 
 
 2800 
 
 2847 
 
 2895 
 
 2943 
 
 2990 
 
 3)38 
 
 3086 
 
 3133 
 
 3181 
 
 3229 
 
 
 5 24 
 
 0(1 
 
 3276 
 
 3324 
 
 3372 
 
 3420 
 
 3467 
 
 3515 
 
 3563 
 
 3610 
 
 3658 
 
 3706 
 
 
 6 29 
 
 7 34 
 
 8 38 
 
 07 
 
 3753 
 
 3801 
 
 3849 
 
 3896 
 
 3944 
 
 3992 
 
 4039 
 
 4087 
 
 4135 
 
 4183 
 
 
 08 
 
 4:230 
 
 4278 
 
 4326 
 
 4373 
 
 4421 
 
 4469 
 
 4516 
 
 4561 
 
 4612 
 
 4659 
 
 
 9 43 
 
 09 
 
 4707 
 
 4755 
 
 4802 
 
 4850 
 
 4898 
 
 4945 
 
 4993 
 
 5041 
 
 5088 
 
 5136 
 
 
 
 9110 
 
 5184 
 
 5231 
 
 5279 
 
 5327 
 
 5374 
 
 5422 
 
 5470 
 
 5517 
 
 5565 
 
 5613 
 
 
 
 11 
 
 5660 
 
 5708 
 
 5756 
 
 5803 
 
 5851 
 
 5899 
 
 5946 
 
 5994 
 
 6042 
 
 6089 
 
 
 
 12 
 
 6137 
 
 6185 
 
 6232 
 
 6280 
 
 6328 
 
 6375 
 
 6423 
 
 6471 
 
 6518 
 
 6566 
 
 
 
 13 
 
 6614 
 
 6601 
 
 6709 
 
 6757 
 
 6804 
 
 6852 
 
 6900 
 
 6947 
 
 6995 
 
 7043 
 
 
 
 14 
 
 7090 
 
 7138 
 
 7186 
 
 7233 
 
 7281 
 
 7328 
 
 7376 
 
 7424 
 
 7471 
 
 7519 
 
 
 
 [S 
 
 7567 
 
 7614 
 
 7662 
 
 7710 
 
 7757 
 
 7805 
 
 7853 
 
 7900 
 
 7948 
 
 7996 
 
 
 
 16 
 
 8043 
 
 809 1 
 
 8138 
 
 8186 
 
 8234 
 
 8281 
 
 8329 
 
 8377 
 
 8424 
 
 8472 
 
 
 
 17 
 
 8520 
 
 8567 
 
 8615 
 
 8662 
 
 8710 
 
 8758 
 
 8805 
 
 8853 
 
 8901 
 
 8948 
 
 
 
 18 
 
 8996 
 
 9044 
 
 9091 
 
 9139 
 
 9186 
 
 9234 
 
 9282 
 
 9329 
 
 9377 
 
 9425 
 
 
 
 19 
 
 9472 
 
 9520 
 
 9567 
 
 9615 
 
 9663 
 
 9710 
 
 9758 
 
 9806 
 
 9853 
 
 9901 
 
 
 
 9120 
 
 9Q48 
 
 9996 
 
 0044 
 
 0091 
 
 0139 
 
 0186 
 
 0234 
 
 0282 
 
 0329 
 
 0377 
 
 
 
 21 
 
 9600425 
 
 0472 
 
 0520 
 
 0567 
 
 0615 
 
 0663 
 
 0710 
 
 0758 
 
 0805 
 
 0853 
 
 
 
 22 
 
 0901 
 
 0948 
 
 0996 
 
 1044 
 
 1091 
 
 1139 
 
 1186 
 
 1234 
 
 1282 
 
 1329 
 
 
 
 23 
 
 1377 
 
 1424 
 
 1472 
 
 1520 
 
 1567 
 
 1615 
 
 1662 
 
 1710 
 
 1758 
 
 1805 
 
 
 
 24 
 
 1853 
 
 1900 
 
 1948 
 
 1996 
 
 2043 
 
 2091 
 
 2138 
 
 2186 
 
 2234 
 
 2281 
 
 
 
 25 
 
 2329 
 
 2376 
 
 2424 
 
 2472 
 
 2519 
 
 2567 
 
 2614 
 
 2662 
 
 2709 
 
 2757 
 
 
 
 26 
 
 2805 
 
 2852 
 
 2900 
 
 2947 
 
 2995 
 
 3043 
 
 3090 
 
 3138 
 
 3185 
 
 3233 
 
 
 
 27 
 
 3281 
 
 3323 
 
 3376 
 
 3423 
 
 3471 
 
 3518 
 
 3566 
 
 3614 
 
 3661 
 
 3709 
 
 
 
 28 
 
 3756 
 
 3804 
 
 3851 
 
 3899 
 
 3947 
 
 3994 
 
 4042 
 
 4089 
 
 4137 
 
 4184 
 
 
 
 29 
 
 4232 
 
 4280 
 
 4327 
 
 4375 
 
 4422 
 
 4470 
 
 4517 
 
 4565 
 
 4613 
 
 4660 
 
 
 
 9130 
 
 4708 
 
 4755 
 
 4803 
 
 4850 
 
 4898 
 
 4946 
 
 4993 
 
 5041 
 
 5088 
 
 5136 
 
 
 
 31 
 
 5183 
 
 5231 
 
 5279 
 
 5326 
 
 5374 
 
 5421 
 
 5469 
 
 5516 
 
 5564 
 
 5611 
 
 
 
 32 
 
 5659 
 
 5707 
 
 5754 
 
 5802 
 
 3849 
 
 5897 
 
 5944 
 
 5992 
 
 6039 
 
 6087 
 
 
 
 33 
 
 6135 
 
 6182 
 
 6230 
 
 6277 
 
 6325 
 
 6372 
 
 6420 
 
 6467 
 
 6515 
 
 6563 
 
 
 
 34 
 
 6610 
 
 6658 
 
 6705 
 
 6753 
 
 6800 
 
 6848 
 
 6893 
 
 6943 
 
 6990 
 
 7038 
 
 
 
 35 
 
 7086 
 
 7133 
 
 7181 
 
 7228 
 
 7276 
 
 7323 
 
 7371 
 
 7418 
 
 7466 
 
 7513 
 
 
 
 36 
 
 7561 
 
 7608 
 
 7656 
 
 7704 
 
 7751 
 
 7799 
 
 7846 
 
 7894 
 
 7941 
 
 7989 
 
 
 
 37 
 
 8036 
 
 8084 
 
 8131 
 
 8179 
 
 8226 
 
 8274 
 
 8321 
 
 8369 
 
 8416 
 
 8464 
 
 
 
 38 
 
 8512 
 
 8559 
 
 8607 
 
 8654 
 
 8702 
 
 8749 
 
 8797 
 
 8844 
 
 8892 
 
 8939 
 
 
 
 39 
 
 8987 
 
 9034 
 
 9082 
 
 9129 
 
 9177 
 
 9224 
 
 9272 
 
 9319 
 
 9367 
 
 9414 
 
 
 
 9140 
 
 9462 
 
 9509 
 
 9557 
 
 9605 
 
 9652 
 
 9700 
 
 9747 
 
 9795 
 
 9842 
 
 9890 
 
 
 
 41 
 
 9937 
 
 9985 
 
 0032 
 
 0080 
 
 0127 
 
 0175 
 
 0222 
 
 0270 
 
 0317 
 
 0365 
 
 
 
 42 
 
 9610412 
 
 0460 
 
 0507 
 
 0555 
 
 0602 
 
 0650 
 
 0697 
 
 0745 
 
 0792 
 
 0840 
 
 
 47 
 
 43 
 
 0887 
 
 0935 
 
 0982 
 
 1030 
 
 1077 
 
 1125 
 
 1172 
 
 1220 
 
 1267 
 
 1315 
 
 
 1 5 
 
 44 
 
 1362 
 
 1410 
 
 1457 
 
 1505 
 
 1552 
 
 1600 
 
 1647 
 
 1695 
 
 1742 
 
 1790 
 
 
 2 9 
 
 3 14 
 
 45 
 
 1837 
 
 1885 
 
 1932 
 
 1980 
 
 2027 
 
 2075 
 
 2122 
 
 2170 
 
 2217 
 
 2264 
 
 
 4 19 
 
 46 
 
 2312 
 
 2359 
 
 24(^7 
 
 2454 
 
 2502 
 
 2549 
 
 2597 
 
 2644 
 
 2692 
 
 2739 
 
 
 5 24 
 
 47 
 
 2787 
 
 2334 
 
 2882 
 
 2929 
 
 2977 
 
 3024 
 
 3072 
 
 3119 
 
 3167 
 
 3214 
 
 
 6 28 
 
 7 33 
 
 8 38 
 
 48 
 
 3262 
 
 3309 
 
 3357 
 
 3404 
 
 3451 
 
 3499 
 
 3546 
 
 3594 
 
 3641 
 
 3689 
 
 
 49 
 
 3736 
 
 3784 
 
 3831 
 
 3879 
 
 3926 
 
 3974 
 
 4021 
 
 4069 
 
 4116 
 
 4163 
 
 
 9 42 
 
 N. 
 
 1 1 
 
 2 
 
 S 4 H 
 
 5 
 
 ~6" 
 
 7 8| 
 
 T 
 
 D 
 
 Pts. 
 
N.915L.961 OF NUMBERS. (l6'J))i 
 
 N. 
 
 9150 
 
 
 
 1 
 4258 
 
 2 
 4306 
 
 3 
 
 4353 
 
 4 
 
 4401 
 
 5 
 
 4448 
 
 6 
 
 4496 
 
 7 
 
 4543 
 
 8 
 
 4591 
 
 9 
 
 4638 
 
 D 
 
 Pro. 
 
 9614211 
 
 
 51 
 
 4686 
 
 4733 
 
 4780 
 
 4828 
 
 4875 
 
 4923 
 
 4970 
 
 5018 
 
 5065 
 
 5113 
 
 
 48 
 
 52 
 
 5160 
 
 5208 
 
 5255 
 
 5302 
 
 5350 
 
 5397 
 
 5445 
 
 5492 
 
 5540 
 
 5587 
 
 
 1 
 
 5 
 
 53 
 
 5635 
 
 5682 
 
 5730 
 
 5777 
 
 5824 
 
 5872 
 
 5919 
 
 5907 
 
 6014 
 
 6062 
 
 
 2 
 3 
 4 
 
 10 
 14 
 19 
 
 54 
 
 6109 
 
 6157 
 
 6204 
 
 6251 
 
 6299 
 
 6346 
 
 6394 
 
 6441 
 
 6489 
 
 6536 
 
 
 55 
 
 6583 
 
 6631 
 
 6678 
 
 6726 
 
 6773 
 
 6821 
 
 6868 
 
 6916 
 
 6963 
 
 7010 
 
 
 5 
 
 24 
 
 56 
 
 7058 
 
 7105 
 
 7153 
 
 7200 
 
 7248 
 
 7295 
 
 7342 
 
 7390 
 
 7437 
 
 7485 
 
 
 6 
 
 7 
 
 29 
 ^4 
 
 57 
 
 7532 
 
 7580 
 
 7627 
 
 7674 
 
 7722 
 
 7769 
 
 7817 
 
 7864 
 
 7912 
 
 7959 
 
 
 / 
 
 8 
 
 38 
 
 58 
 
 8006 
 
 8054 
 
 8101 
 
 8149 
 
 8196 
 
 8243 
 
 8291 
 
 8338 
 
 8386 
 
 8433 
 
 
 9 
 
 43 
 
 59 
 
 8481 
 
 8528 
 
 8575 
 
 8623 
 
 8670 
 
 8718 
 
 8765 
 
 8812 
 
 8860 
 
 8907 
 
 
 
 9160 
 
 8955 
 
 9002 
 
 9050 
 
 9097 
 
 9144 
 
 9192 
 
 9239 
 
 9287 
 
 9834 
 
 9381 
 
 
 
 61 
 
 942.Q 
 
 9476 
 
 9524 
 
 9571 
 
 9618 
 
 9666 
 
 9713 
 
 9761 
 
 9808 
 
 9855 
 
 
 
 62 
 
 9903 
 
 9950 
 
 9998 
 
 0045 
 
 0092 
 
 0140 
 
 0187 
 
 0235 
 
 0282 
 
 0329 
 
 
 
 63 
 
 9620377 
 
 0424 
 
 0472 
 
 0519 
 
 0566 
 
 0614 
 
 0661 
 
 0709 
 
 0756 
 
 0803 
 
 
 
 64 
 
 0851 
 
 0898 
 
 0946 
 
 0993 
 
 1040 
 
 1088 
 
 1135 
 
 1183 
 
 1230 
 
 1277 
 
 
 
 65 
 
 1325 
 
 1372 
 
 1419 
 
 1467 
 
 1514 
 
 1562 
 
 1609 
 
 1656 
 
 1704 
 
 1751 
 
 
 
 *66 
 
 1799 
 
 1846 
 
 1893 
 
 1941 
 
 1988 
 
 2035 
 
 2083 
 
 2130 
 
 2178 
 
 2225 
 
 
 
 67 
 
 2272 
 
 2320 
 
 2367 
 
 2414 
 
 2462 
 
 2509 
 
 2557 
 
 20O4 
 
 2651 
 
 2699 
 
 
 
 68 
 
 2746 
 
 2793 
 
 2841 
 
 2888 
 
 2936 
 
 2983 
 
 3030 
 
 3078 
 
 3125 
 
 3172 
 
 
 
 69 
 
 3220 
 
 3267 
 
 3314 
 
 3362 
 
 3409 
 
 3457 
 
 3504 
 
 3551 
 
 3599 
 
 3646 
 
 
 
 9170 
 
 369,3 
 
 3741 
 
 3788 
 
 3835 
 
 3883 
 
 3930 
 
 3978 
 
 4025 
 
 4072 
 
 4120 
 
 
 
 71 
 
 4167 
 
 4214 
 
 4262 
 
 4309 
 
 4356 
 
 4404 
 
 4451 
 
 4498 
 
 4546 
 
 4593 
 
 
 
 72 
 
 4640 
 
 4688 
 
 4735 
 
 4783 
 
 4830 
 
 4877 
 
 4925 
 
 4972 
 
 5019 
 
 5067 
 
 
 
 73 
 
 5114 
 
 5161 
 
 5209 
 
 525.6 
 
 5303 
 
 5351 
 
 5398 
 
 5445 
 
 5493 
 
 5540 
 
 
 
 74 
 
 5587 
 
 5635 
 
 5682 
 
 5729 
 
 5777 
 
 5824 
 
 5871 
 
 5919 
 
 5966 
 
 6013 
 
 
 
 75 
 
 6061 
 
 6108 
 
 6155 
 
 6203 
 
 6250 
 
 6297 
 
 6345 
 
 6392 
 
 6439 
 
 6487 
 
 
 
 76 
 
 6534 
 
 6581 
 
 6629 
 
 6676 
 
 6723 
 
 6771 
 
 6818 
 
 6865 
 
 6913 
 
 6960 
 
 
 
 77 
 
 7007 
 
 7055 
 
 7102 
 
 7149 
 
 7197 
 
 7244 
 
 7291 
 
 7339 
 
 7386 
 
 7433 
 
 
 
 78 
 
 7481 
 
 7528 
 
 7575 
 
 7622 
 
 7670 
 
 7717 
 
 7764 
 
 7812 
 
 7859 
 
 7906 
 
 
 
 79 
 
 7954 
 
 8001 
 
 8048 
 
 8096 
 
 8143 
 
 8190 
 
 8238 
 
 8285 
 
 8332 
 
 8380 
 
 
 
 9180 
 
 8427 
 
 8474 
 
 8521 
 
 8569 
 
 8616 
 
 8663 
 
 8711 
 
 8758 
 
 8805 
 
 8853 
 
 
 
 81 
 
 8900 
 
 8947 
 
 8994 
 
 9042 
 
 9089 
 
 9136 
 
 9184 
 
 9231 
 
 9278 
 
 9326 
 
 
 
 82 
 
 9373 
 
 9420 
 
 9467 
 
 9515 
 
 9562 
 
 9609 
 
 9657 
 
 9704 
 
 9751 
 
 9799 
 
 
 
 83 
 
 9846 
 
 9893 
 
 9940 
 
 9988 
 
 0035 
 
 0082 
 
 0130 
 
 0177 
 
 0224 
 
 0271 
 
 
 
 84 
 
 9630319 
 
 0366 
 
 0413 
 
 0461 
 
 0508 
 
 0555 
 
 0602 
 
 0650 
 
 0697 
 
 0744 
 
 
 
 85 
 
 0792 
 
 0839 
 
 0886 
 
 0933 
 
 0981 
 
 1028 
 
 1075 
 
 1123 
 
 1170 
 
 1217 
 
 
 
 86 
 
 1264 
 
 1312 
 
 1359 
 
 1400 
 
 1454 
 
 1501 
 
 1548 
 
 1595 
 
 1643 
 
 1690 
 
 
 
 87 
 
 1737 
 
 1784 
 
 1832 
 
 1879 
 
 1926 
 
 1974 
 
 2021 
 
 2068 
 
 2115 
 
 2163 
 
 
 
 88 
 
 2210 
 
 2257 
 
 2304 
 
 2352 
 
 ^399 
 
 2446 
 
 2493 
 
 2541 
 
 2588 
 
 2635 
 
 
 
 89 
 
 2683 
 
 2730 
 
 2777 
 
 2824 
 
 2872 
 
 2919 
 
 2966 
 
 3013 
 
 3061 
 
 3108 
 
 
 
 9190 
 
 3155 
 
 3202 
 
 3250 
 
 3297 
 
 3344 
 
 3391 
 
 3439 
 
 3486 
 
 3533 
 
 3580 
 
 
 
 91 
 
 3628 
 
 3675 
 
 3722 
 
 3769 
 
 3817 
 
 3864 
 
 3911 
 
 3958 
 
 4006 
 
 4053 
 
 
 
 92 
 
 4100 
 
 4147 
 
 4195 
 
 4242 
 
 4289 
 
 4336 
 
 4384 
 
 4431 
 
 4478 
 
 4525 
 
 
 47 
 
 93 
 
 4573 
 
 4620 
 
 4667 
 
 4714 
 
 4762 
 
 4809 
 
 4856 
 
 4903 
 
 4951 
 
 4998 
 
 
 1 
 
 5 
 
 94 
 
 5045 
 
 5092 
 
 5139 
 
 5187 
 
 5234 
 
 5281 
 
 5328 
 
 5376 
 
 5423 
 
 5470 
 
 
 2 
 3 
 
 9 
 14 
 
 95 
 
 5517 
 
 5565 
 
 5612 
 
 5659 
 
 5706 
 
 5753 
 
 5801 
 
 5848 
 
 5895 
 
 5942 
 
 
 •4 
 
 19 
 
 96 
 
 5990 
 
 6037 
 
 6084 
 
 6131 
 
 6179 
 
 6226 
 
 6273 
 
 6320 
 
 6367 
 
 6415 
 
 
 5 
 
 24 
 
 97 
 
 6462 
 
 6509 
 
 6556 
 
 6604 
 
 6651 
 
 6698 
 
 6745 
 
 6792 
 
 6840 
 
 6887 
 
 
 6 
 7 
 
 g 
 
 28 
 33 
 38 
 
 98 
 
 6934 
 
 6981 
 
 7028 
 
 7076 
 
 7123 
 
 7170 
 
 7217 
 
 7265 
 
 7312 
 
 7359 
 
 
 99 
 
 7406 
 
 7453 
 
 7501 
 2 
 
 7548 
 I 3 
 
 7595 
 
 4 
 
 7642 
 5 
 
 7689 
 
 6 
 
 7737 
 
 7, 
 
 7784 
 
 8 
 
 7831 
 
 9 
 
 D 
 
 9 
 
 42 
 
 In. 
 
 
 
 1 
 
 I 
 
 >ts. 
 
 a z 
 
(,170) LOGARITHMS N.9^0L,(^63 
 
 N. 
 
 9200 
 
 
 
 1 
 
 7925 
 
 7973 
 
 3 
 
 8020 
 
 4 
 
 8067 
 
 5 
 
 8114 
 
 6 
 
 8161 
 
 7 
 
 8209 
 
 8 
 
 8256 
 
 .9 
 
 8303 
 
 £ 
 
 Pro. 
 
 .Q637878 
 
 01 
 
 8350 
 
 8398 
 
 8445 
 
 8492 
 
 8539 
 
 8586 
 
 8634 
 
 8681 
 
 8728 
 
 8775 
 
 
 48 
 
 02 
 
 8822 
 
 8869 
 
 8917 
 
 8964 
 
 901 i 
 
 9058 
 
 9105 
 
 9153 
 
 9200 
 
 9247 
 
 
 1| S 
 
 03 
 
 9294 
 
 9341 
 
 9389 
 
 9436 
 
 9483 
 
 9530 
 
 9577 
 
 9625 
 
 9672 
 
 9719 
 
 
 2 10 
 
 04 
 
 9706 
 
 9813 
 
 9860 
 
 9908 
 
 9955 
 
 0002 
 
 0049 
 
 0096 
 
 0144 
 
 0191 
 
 
 3 14 
 
 4 19 
 
 05 
 
 9640238 
 
 0285 
 
 0332 
 
 0379 
 
 0427 
 
 0474 
 
 0521 
 
 0568 
 
 0615 
 
 0663 
 
 
 5 24 
 
 06 
 
 0710 
 
 0757 
 
 0804 
 
 0851 
 
 0898 
 
 0946 
 
 0993 
 
 1040 
 
 1087 
 
 1134 
 
 
 6 29 
 
 07 
 
 1181 
 
 1229 
 
 1276 
 
 1323 
 
 1370 
 
 1417 
 
 1464 
 
 1512 
 
 1559 
 
 1606 
 
 
 7 34 
 
 g 38 
 
 08 
 
 1653 
 
 1700 
 
 1747 
 
 1795 
 
 1842 
 
 1889 
 
 1936 
 
 1983 
 
 2030 
 
 2078 
 
 
 9 43 
 
 09 
 
 2125 
 
 2172 
 
 2219 
 
 2266 
 
 2313 
 
 2361 
 
 2408 
 
 2455 
 
 2502 
 
 2549 
 
 
 
 9210 
 
 2596 
 
 2643 
 
 2691 
 
 2738 
 
 2785 
 
 2832 
 
 2879 
 
 2926 
 
 2974 
 
 3021 
 
 
 
 11 
 
 3068 
 
 3115 
 
 3162 
 
 3209 
 
 3256 
 
 3304 
 
 3351 
 
 3398 
 
 3445 
 
 3492 
 
 
 
 12 
 
 3539 
 
 3586 
 
 3(?34 
 
 3681 
 
 3728 
 
 3775 
 
 3822 
 
 3869 
 
 3916 
 
 3964 
 
 
 
 13 
 
 4011 
 
 4058 
 
 4105 
 
 4152 
 
 4199 
 
 4246 
 
 4294 
 
 4341 
 
 4388 
 
 4435 
 
 
 
 14 
 
 4482 
 
 4529 
 
 4576 
 
 4623 
 
 4671 
 
 4718 
 
 4765 
 
 4812 
 
 4859 
 
 4906 
 
 
 
 15 
 
 4953 
 
 5001 
 
 5048 
 
 5095 
 
 5142 
 
 5189 
 
 5236 
 
 5283 
 
 5330 
 
 5378 
 
 
 
 16 
 
 5\25 
 
 5472 
 
 5519 
 
 5566 
 
 5613 
 
 5660 
 
 5707 
 
 5755 
 
 5802 
 
 5849 
 
 
 1 
 
 17 
 
 5896 
 
 5943 
 
 5990 
 
 6037 
 
 6084 
 
 6131 
 
 6179 
 
 6226 
 
 6273 
 
 6320 
 
 
 
 18 
 
 6367 
 
 6414 
 
 6461 
 
 6508 
 
 6555 
 
 6603 
 
 6650 
 
 6697 
 
 6744 
 
 6791 
 
 
 
 19 
 
 0838 
 
 6885 
 
 6932 
 
 6979 
 
 7027 
 
 7074 
 
 7121 
 
 7168 
 
 7215 
 
 7262 
 
 
 
 9220 
 
 7309 
 
 7356 
 
 7403 
 
 7451 
 
 7498 
 
 7545 
 
 7592 
 
 7639 
 
 7686 
 
 7733 
 
 
 
 21 
 
 7780 
 
 7827 
 
 7874 
 
 7922 
 
 7969C 
 
 ^016 
 
 8063 
 
 8110 
 
 8157 
 
 8204 
 
 
 
 22 
 
 8251 
 
 8298 
 
 8345 
 
 8302 
 
 8440 
 
 8487 
 
 8534 
 
 8581 
 
 8628 
 
 8675 
 
 
 
 23 
 
 8722 
 
 8769 
 
 8816 
 
 8863 
 
 8910 
 
 8958 
 
 9005 
 
 9052 
 
 9099 
 
 9146 
 
 
 
 24 
 
 9193 
 
 92^40 
 
 9287 
 
 9334 
 
 9381 
 
 9428 
 
 9475 
 
 9523 
 
 9570 
 
 9617 
 
 
 
 25 
 
 9664 
 
 9711 
 
 9758 
 
 9805 
 
 9852 
 
 9899 
 
 9946 
 
 9993 
 
 0040 
 
 0087 
 
 
 
 2t) 
 
 9650135 
 
 0182 
 
 0229 
 
 0276 
 
 0323 
 
 0370 
 
 0417 
 
 0464 
 
 0511 
 
 0558 
 
 
 
 27 
 
 0605 
 
 0652 
 
 0699 
 
 0746 
 
 0793 
 
 0841 
 
 0888 
 
 093.5 
 
 0982 
 
 1029 
 
 
 
 28 
 
 1076 
 
 1123 
 
 1170 
 
 1217 
 
 1264 
 
 1311 
 
 1358 
 
 1405 
 
 1452 
 
 1499 
 
 
 
 29 
 
 1546 
 
 1594 
 
 1641 
 
 1688 
 
 1735 
 
 1782 
 
 1829 
 
 1876 
 
 1923 
 
 1970 
 
 
 
 9230 
 
 2017 
 
 2064 
 
 2111 
 
 2158 
 
 2205 
 
 2252 
 
 2299 
 
 2346 
 
 2393 
 
 2440 
 
 
 
 31 
 
 2488 
 
 2535 
 
 2582 
 
 2629 
 
 2676 
 
 2723 
 
 2770, 
 
 2817 
 
 2864 
 
 2911 
 
 
 
 32 
 
 2958 
 
 3005 
 
 3052 
 
 3099 
 
 3146 
 
 3193 
 
 3240 
 
 .^287 
 
 3334 
 
 3381 
 
 
 
 33 
 
 3428 
 
 3475 
 
 3522 
 
 3569 
 
 3617 
 
 3664 
 
 3711 
 
 3758 
 
 3805 
 
 3852 
 
 
 
 34 
 
 3899 
 
 3946 
 
 3993 
 
 4040 
 
 4087 
 
 4134 
 
 4181 
 
 4228 
 
 4275 
 
 4322 
 
 
 
 35 
 
 4369 
 
 4416 
 
 4463 
 
 4510 
 
 4557 
 
 4604 
 
 465 1 
 
 4698 
 
 4745 
 
 4792 
 
 
 
 36 
 
 4839 
 
 4886 
 
 4933 
 
 4980 
 
 5027 
 
 5074 
 
 5121 
 
 5168 
 
 5215 
 
 5262 
 
 
 
 37 
 
 5309 
 
 535Q 
 
 5403 
 
 5450 
 
 5497 
 
 5545 
 
 5592 
 
 5GS9 
 
 5686 
 
 5733 
 
 
 
 39 
 
 5780 
 
 5827 
 
 5874 
 
 5921 
 
 5968 
 
 6015 
 
 6062 
 
 01O9 
 
 6156 
 
 6203 
 
 
 
 39 
 
 6250 
 
 6297 
 
 6344 
 
 6391 
 
 6438 
 
 6485 
 
 6532 
 
 6579 
 
 6626 
 
 6673 
 
 
 
 9240 
 
 6720 
 
 6767 
 
 6814 
 
 6m\ 
 
 6908 
 
 6955 
 
 7002 
 
 7049 
 
 7096 
 
 7143 
 
 47 
 
 
 41 
 
 7190 
 
 7237 
 
 7284 
 
 7331 
 
 7378 
 
 7425 
 
 7472 
 
 7519 
 
 7566 
 
 7613 
 
 
 
 42 
 
 7660 
 
 7707 
 
 7754 
 
 7801 
 
 7848 
 
 7895 
 
 7942 
 
 7989 
 
 8036 
 
 8083 
 
 
 47 
 
 43 
 
 8130 
 
 8177 
 
 8224 
 
 8270 
 
 8317 
 
 8364 
 
 8411 
 
 8458 
 
 8505 
 
 8552 
 
 
 1 b 
 
 44 
 
 8599 
 
 8646 
 
 8693 
 
 8740 
 
 8787 
 
 8834 
 
 8881 
 
 8928 
 
 8975 
 
 9022 
 
 
 2 9 
 
 3 14 
 
 45 
 
 9069 
 
 9116 
 
 9163 
 
 9210 
 
 9257 
 
 9304 
 
 9351 
 
 9398 
 
 9445 
 
 9492 
 
 
 4 19 
 
 524^ 
 
 46 
 
 9539 
 
 9586 
 
 9633 
 
 9680 
 
 9727 
 
 0774 
 
 9821 
 
 9868 
 
 9915 
 
 9962 
 
 
 47 
 
 9660009 
 
 0056 
 
 0103 
 
 0149 
 
 0196 
 
 0243 
 
 0290 
 
 0337 
 
 03 84 
 
 3431 
 
 
 6 28 
 
 7 33 
 
 8 38 
 
 48 
 
 0178 
 
 0525 
 
 0572 
 
 0619 
 
 0666 
 
 0713 
 
 0760 
 
 0807 
 
 0854 
 
 D901 
 
 
 49 
 
 N. 
 
 0948 
 
 ms)b 
 
 1042 
 
 1089 
 
 1136 
 4 1 
 
 1183 
 
 1230 
 
 15?76 
 
 1323 
 
 1370 
 
 
 9 42 
 
 
 
 ~\~ 
 
 2 
 
 3 
 
 5 
 
 6 
 
 7 
 
 8~ ' 
 
 9 
 
 T) 
 
 Pts. 
 
N.9'25 L.966 OF NUMBERS. (171)1 
 
 N. 
 
 i)250 
 
 
 
 1 
 
 1464 
 
 2 S 
 
 1511 1558 
 
 4 
 
 1605 
 
 6 
 
 6* 
 
 1699 
 
 7 
 
 1746 
 
 8 
 1793 
 
 9 
 
 1 840 
 
 D 
 
 Pro. 
 
 9661417 
 
 51 
 
 1887 
 
 1934. 
 
 1981 
 
 2028 
 
 2075 
 
 2122 
 
 2168 
 
 2215 
 
 2262 
 
 2309 
 
 
 47 
 
 52 
 
 2356 
 
 2403 
 
 2450 
 
 2497 
 
 2544 
 
 2591 
 
 2638 
 
 ^6S5 
 
 2732 
 
 2779 
 
 
 1 
 
 5 
 
 53 
 
 2826 
 
 2873 
 
 2919 
 
 2966 
 
 3013 
 
 3060 
 
 3107 
 
 3154 
 
 3201 
 
 3248 
 
 
 3 
 
 9 
 
 54 
 
 3295 
 
 3342 
 
 3389 
 
 3436 
 
 3483 
 
 3530 
 
 3577 
 
 3623 
 
 3670 
 
 3717 
 
 
 3 
 
 4 
 
 14 
 19 
 
 55 
 
 3764 
 
 3811 
 
 3858 
 
 3905 
 
 3952 
 
 3999 
 
 4046 
 
 4093 
 
 4140 
 
 4187 
 
 
 6 
 
 24 
 
 56 
 
 4233 
 
 1280 
 
 4327 
 
 4374 
 
 4421 
 
 4468 
 
 4515 
 
 4562 
 
 4609 
 
 4656 
 
 
 6 
 
 •JH 
 
 57 
 
 4703 
 
 4750 
 
 4796 
 
 4843 
 
 4890 
 
 4937 
 
 4984 
 
 5031 
 
 5078 
 
 5125 
 
 
 7 
 8 
 9 
 
 33 
 Ik 
 
 58 
 
 5172 
 
 5219 
 
 5266 
 
 5312 
 
 5359 
 
 5406 
 
 5453 
 
 5500 
 
 5547 
 
 5594 
 
 
 .JO 
 
 42 
 
 59 
 
 5641 
 
 5688 
 
 5735 
 
 5782 
 
 5828 
 
 5875 
 
 5922 
 
 5969 
 
 6016 
 
 6063 
 
 
 
 9260 
 
 6110 
 
 6157 
 
 6204 
 
 6251 
 
 6297 
 
 6344 
 
 6391 
 
 6t38 
 
 6485 
 
 6532 
 
 
 
 61 
 
 6579 
 
 6626 
 
 6673 
 
 6720 
 
 6766 
 
 6813 
 
 6860 
 
 6907 
 
 6954 
 
 7001 
 
 
 
 62 
 
 7048 
 
 70>)5 
 
 7142 
 
 7188 
 
 7235 
 
 7282 
 
 7329 
 
 7376 
 
 7423 
 
 7470 
 
 
 
 63 
 
 7517 
 
 7561 
 
 7010 
 
 7657 
 
 7704 
 
 7751 
 
 7798 
 
 7845 
 
 7892 
 
 7939 
 
 
 
 64 
 
 7985 
 
 8032 
 
 8079 
 
 8126 
 
 8173 
 
 8220 
 
 8267 
 
 8311 
 
 8360 
 
 8407 
 
 
 
 65 
 
 8454 
 
 8501 
 
 8548 
 
 8595 
 
 8642 
 
 8689 
 
 8735 
 
 8782 
 
 8829 
 
 8876 
 
 
 
 66 
 
 8923 
 
 8970 
 
 9017 
 
 9064 
 
 9110 
 
 9157 
 
 9204 
 
 9251 
 
 9298 
 
 9345 
 
 
 
 67 
 
 9392 
 
 9438 
 
 9485 
 
 9532 
 
 9579 
 
 9626 
 
 9673 
 
 9720 
 
 9767 
 
 9813 
 
 
 
 68 
 
 9860 
 
 9907 
 
 9954 
 
 0001 
 
 0048 
 
 0095 
 
 0141 
 
 0188 
 
 0235 
 
 0282 
 
 
 
 69 
 
 9670329 
 
 0376 
 
 0423 
 
 0469 
 
 0516 
 
 0563 
 
 0610 
 
 0657 
 
 0704 
 
 0750 
 
 
 
 9270 
 
 0797 
 
 0844 
 
 0891 
 
 0938 
 
 0985 
 
 1032 
 
 1078 
 
 1125 
 
 1172 
 
 1219 
 
 
 
 71 
 
 1266 
 
 1313 
 
 1359 
 
 1406 
 
 1453 
 
 1500 
 
 1547 
 
 1594 
 
 1641 
 
 1687 
 
 
 
 72 
 
 1734 
 
 1781 
 
 1828 
 
 1875 
 
 1922 
 
 1968 
 
 2015 
 
 2062 
 
 2109 
 
 2156 
 
 
 
 i 73 
 
 2203 
 
 2249 
 
 2296 
 
 2343 
 
 2390 
 
 2437 
 
 2484 
 
 2530 
 
 2577 
 
 2624 
 
 
 
 ■ 74 
 
 2671 
 
 2718 
 
 2765 
 
 2811 
 
 2858 
 
 2905 
 
 2952 
 
 2999 
 
 3046 
 
 3092 
 
 
 
 75 
 
 3139 
 
 3186 
 
 3233 
 
 3280 
 
 3326 
 
 3373 
 
 342Q 
 
 ^3167 
 
 3514 
 
 3561 
 
 
 
 76 
 
 3607 
 
 3654 
 
 3701 
 
 3748 
 
 3795 
 
 3841 
 
 3888 
 
 3935 
 
 3982 
 
 4029 
 
 
 
 ' 77 
 
 4076 
 
 4122 
 
 4169 
 
 4216 
 
 4263 
 
 4310 
 
 4356 
 
 4403 
 
 4450 
 
 4497 
 
 
 
 78 
 
 4544 
 
 4590 
 
 4637 
 
 4684 
 
 4731 
 
 4778 
 
 4825 
 
 4871 
 
 4918 
 
 4965 
 
 
 
 ; ^^ 
 
 5012 
 
 5059 
 
 5105 
 
 5152 
 
 5199 
 
 5246 
 
 5293 
 
 5339 
 
 5336 
 
 5433 
 
 
 
 '0280 
 
 5480 
 
 5527 
 
 5573 
 
 5620 
 
 5667 
 
 5714 
 
 5761 
 
 5807 
 
 5854 
 
 5901 
 
 
 
 81 
 
 5948 
 
 5995 
 
 60H 
 
 60S 8 
 
 6135 
 
 6182 
 
 6228 
 
 6275 
 
 6322 
 
 6369 
 
 
 
 82 
 
 6416 
 
 6462 
 
 6509 
 
 6556 
 
 6603 
 
 6650 
 
 6696 
 
 6743 
 
 6790 
 
 6837 
 
 
 
 83 
 
 6884 
 
 6930 
 
 6977 
 
 7024 
 
 7071 
 
 7117 
 
 7164 
 
 7211 
 
 7258 
 
 7305 
 
 
 
 1 84 
 
 7351 
 
 7398 
 
 7445 
 
 7492 
 
 7538 
 
 7585 
 
 7632 
 
 7679 
 
 7726 
 
 7772 
 
 
 
 ; 85 
 
 7819 
 
 7866 
 
 7913 
 
 7959 
 
 8006 
 
 8053 
 
 8100 
 
 8146 
 
 8193 
 
 8'240 
 
 
 
 86 
 
 8287 
 
 8334 
 
 8380 
 
 8427 
 
 8474 
 
 8521 
 
 8567 
 
 8614 
 
 8661 
 
 8708 
 
 
 
 87 
 
 8754 
 
 8801 
 
 8848 
 
 8895 
 
 8942 
 
 8988 
 
 9035 
 
 9082 
 
 9129 
 
 9175 
 
 
 
 ! 88 
 
 9222 
 
 9269 
 
 9316 
 
 9362 
 
 9409 
 
 9456 
 
 9503 
 
 9549 
 
 9596 
 
 9643 
 
 
 
 89 
 
 969iO 
 
 9736 
 
 9783 
 
 9830 
 
 9S77 
 
 9923 
 
 ^970 
 
 0017 
 
 0064 
 
 0110 
 
 
 
 9290 
 
 9680157 
 
 0204 
 
 0251 
 
 0297 
 
 0344 
 
 0391 
 
 0438 
 
 0484 
 
 0531 
 
 0578 
 
 
 
 91 
 
 0625 
 
 0671 
 
 0718 
 
 0765 
 
 0812 
 
 0858 
 
 0905 
 
 0952 
 
 0999 
 
 1045 
 
 
 
 92 
 
 1092 
 
 1139 
 
 1185 
 
 1232 
 
 1279 
 
 1 326 
 
 1372 
 
 1419 
 
 1466 
 
 1513 
 
 
 46 
 
 93 
 
 1559 
 
 1606 
 
 1653 
 
 1700 
 
 1746 
 
 1793 
 
 1.840 
 1307 
 
 1886 
 
 1933 
 
 1980 
 
 
 1 
 
 5 
 
 94 
 
 2027 
 
 2073 
 
 2120 
 
 2167 
 
 2214 
 
 2260 
 
 2354 
 
 2400 
 
 2447 
 
 
 2 
 
 3 
 
 9 
 
 14 
 
 95 
 
 2494 
 
 2541 
 
 2587 
 
 2634 
 
 268 J 
 
 2728 
 
 2774 
 
 2821 
 
 2868 
 
 2914 
 
 
 4 
 
 !« 
 
 96 
 
 2961 
 
 3008 
 
 3055 
 
 3101 
 
 3148 
 
 3195 
 
 3241 
 
 3288 
 
 3335 
 
 3382 
 
 
 6 
 
 'J3 
 
 97 
 
 3428 
 
 3475 
 
 3522 
 
 3568 
 
 3615 
 
 3662 
 
 3709 
 
 3755 
 
 3802 
 
 3849 
 
 
 6 
 
 7 
 
 •2ii 
 
 98 
 
 3895 
 
 3942 
 
 3989 
 
 4036 
 
 4082 
 
 4129 
 
 4176 
 
 4222 
 
 4269 
 
 4316 
 
 
 .H7 
 
 99 
 
 N. 
 
 4362 
 
 4409 
 
 4456 
 o 
 
 4503 
 
 4549 
 
 459(5 
 
 ~5~ 
 
 4643 
 
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 4689 
 
 ~7~ 
 
 4736 
 8 
 
 4783 
 
 9 
 
 D 
 
 9 
 
 41 
 
 
 
 F 
 
 t«. 
 
 2 /. 2 
 
(172) LOGARITHMS N.93()L.968 
 
 N. 
 
 9300 
 
 
 
 1 1 
 
 4876 
 
 2 
 4923 
 
 3 
 
 4970 
 
 4 
 
 5«16 
 
 5 
 
 5063 
 
 6 
 
 5110 
 
 7 
 
 5156 
 
 8 
 
 5203 
 
 9 
 
 5250 
 
 D 
 
 Pro. 
 
 9684S29 
 
 01 
 
 5296 
 
 5343 
 
 5390 
 
 5437 
 
 5483 
 
 5530 
 
 5577 
 
 5623 
 
 5670 
 
 5717 
 
 
 48 
 
 02 
 
 5763 
 
 5810 
 
 5857 
 
 5903 
 
 5950 
 
 5997 
 
 6043 
 
 6090 
 
 6137 
 
 6184 
 
 
 1 5 
 
 03 
 
 6^30 
 
 6277 
 
 6324 
 
 6370 
 
 6417 
 
 6464 
 
 6510 
 
 6557 
 
 6604 
 
 6650 
 
 
 2 10 
 
 01. 
 
 6697 
 
 6744 
 
 6790 
 
 6837 
 
 6884 
 
 6930 
 
 6977 
 
 7024 
 
 7070 
 
 7117 
 
 
 3 14 
 
 4 19 
 
 03 
 
 7164 
 
 7210 
 
 7257 
 
 7304 
 
 7350 
 
 7397 
 
 7444 
 
 7490 
 
 7537 
 
 7584 
 
 
 5 24 
 
 06 
 
 7630 
 
 7677 
 
 7724 
 
 7770 
 
 7817 
 
 7864 
 
 7910 
 
 7957 
 
 8004 
 
 8050 
 
 
 6 29 
 
 7 34 
 
 8 38 
 
 07 
 
 8097 
 
 8144 
 
 8190 
 
 8237 
 
 8284 
 
 8330 
 
 8377 
 
 8424 
 
 8470 
 
 8517 
 
 
 08 
 
 8564 
 
 8610 
 
 8657 
 
 8704 
 
 8750 
 
 8797 
 
 8844 
 
 8890 
 
 8937 
 
 8984 
 
 
 9 43 
 
 09 
 
 9030 
 
 9077 
 
 9124 
 
 9170 
 
 9217 
 
 9264 
 
 9310 
 
 9357 
 
 9404. 
 
 9450 
 
 
 
 9310 
 
 9497 
 
 9543 
 
 9590 
 
 9637 
 
 9683 
 
 9730 
 
 9777 
 
 9823 
 
 9870 
 
 9917 
 
 
 
 11 
 
 9963 
 
 0010 
 
 0057 
 
 0103 
 
 0150 
 
 0196 
 
 0243 
 
 0290 
 
 0336 
 
 0383 
 
 
 
 12 
 
 9690430 
 
 0476 
 
 0523 
 
 0570 
 
 0616 
 
 0663 
 
 0709 
 
 0756 
 
 0803 
 
 0849 
 
 
 
 13 
 
 0896 
 
 0943 
 
 0989 
 
 1036 
 
 1083 
 
 1129 
 
 1176 
 
 1222 
 
 1269 
 
 1316 
 
 
 
 14 
 
 1362 
 
 1409 
 
 1456 
 
 1502 
 
 1549 
 
 1595 
 
 1642 
 
 1689 
 
 1735 
 
 1782 
 
 
 
 15 
 
 1829 
 
 1875 
 
 1922 
 
 1968 
 
 2015 
 
 2062 
 
 2108 
 
 2155 
 
 2202 
 
 2248 
 
 
 
 16 
 
 2295 
 
 2341 
 
 2388 
 
 2435 
 
 2481 
 
 2528 
 
 2574 
 
 2621 
 
 2668 
 
 2714 
 
 
 
 17 
 
 2761 
 
 2808 
 
 2854 
 
 2901 
 
 2947 
 
 2994 
 
 3041 
 
 3087 
 
 3134 
 
 3180 
 
 
 
 19 
 
 3227 
 
 3274 
 
 3320 
 
 3367 
 
 3413 
 
 3460 
 
 3507 
 
 3553 
 
 3600 
 
 3647 
 
 
 
 19 
 
 3693 
 
 3740 
 
 3786 
 
 3833 
 
 3880 
 
 3926 
 
 3973 
 
 4019 
 
 4066 
 
 4113 
 
 
 
 9320 
 
 4159 
 
 4206 
 
 4252 
 
 4299 
 
 4346 
 
 4392 
 
 4439 
 
 4485 
 
 4532 
 
 4578 
 
 
 
 21 
 
 4625 
 
 4672 
 
 4718 
 
 4765 
 
 4811 
 
 4858 
 
 4905 
 
 4951 
 
 4998 
 
 5044 
 
 
 
 22 
 
 5091 
 
 5138 
 
 5184 
 
 5231 
 
 5277 
 
 5324 
 
 5371 
 
 5417 
 
 5464 
 
 5510 
 
 
 
 23 
 
 5557 
 
 5603 
 
 5650 
 
 5697 
 
 5743 
 
 5790 
 
 5836 
 
 5883 
 
 5929 
 
 5976 
 
 
 
 24 
 
 6023 
 
 6069 
 
 6116 
 
 6162 
 
 6209 
 
 6256 
 
 6302 
 
 6349 
 
 6395 
 
 6442 
 
 
 
 25 
 
 6488 
 
 6535 
 
 6582 
 
 6628 
 
 6675 
 
 6721 
 
 6768 
 
 6814 
 
 6861 
 
 6908 
 
 
 
 26 
 
 6954 
 
 7001 
 
 704-7 
 
 7094 
 
 7140 
 
 7187 
 
 7234 
 
 7280 
 
 7327 
 
 7373 
 
 
 
 27 
 
 7420 
 
 7466 
 
 7513 
 
 7559 
 
 7606 
 
 7653 
 
 7699 
 
 7746 
 
 7792 
 
 7839 
 
 
 
 28 
 
 7885 
 
 7932 
 
 7978 
 
 8025 
 
 8072 
 
 8113 
 
 8165 
 
 8211 
 
 8258 
 
 8304 
 
 
 
 29 
 
 8351 
 
 8397 
 
 8444 
 
 8491 
 
 8537 
 
 8584 
 
 8630 
 
 8677 
 
 8723 
 
 8770 
 
 
 
 9330 
 
 8816 
 
 8863 
 
 8910 
 
 8956 
 
 9003 
 
 9049 
 
 9096 
 
 9142 
 
 9189 
 
 9235 
 
 
 
 31 
 
 9282 
 
 9328 
 
 9375 
 
 9422 
 
 9468 
 
 9515 
 
 9561 
 
 9608 
 
 9654 
 
 9701 
 
 
 
 32 
 
 9747 
 
 9794 
 
 9840 
 
 9887 
 
 9933 
 
 9980 
 
 0027 
 
 0073 
 
 0120 
 
 0166 
 
 
 
 33 
 
 9700213 
 
 0259 
 
 0306 
 
 0352 
 
 0399 
 
 0445 
 
 0492 
 
 0538 
 
 0585 
 
 0631 
 
 
 
 34 
 
 0678 
 
 0724 
 
 0771 
 
 0818 
 
 0864 
 
 0911 
 
 0957 
 
 1004 
 
 1050 
 
 1097 
 
 
 
 35 
 
 1143 
 
 1190 
 
 1236 
 
 1283 
 
 1329 
 
 1376 
 
 1422 
 
 1469 
 
 1515 
 
 1562 
 
 
 
 56 
 
 1608 
 
 1655 
 
 1701 
 
 1748 
 
 1794 
 
 1841 
 
 1888 
 
 1934 
 
 1981 
 
 2027 
 
 
 
 37 
 
 2074 
 
 2120 
 
 2167 
 
 2213 
 
 2260 
 
 2306 
 
 2353 
 
 2399 
 
 2446 
 
 2492 
 
 
 
 38 
 
 2539 
 
 2585 
 
 2632 
 
 2678 
 
 2725 
 
 2771 
 
 2818 
 
 2864 
 
 2911 
 
 2957 
 
 
 
 39 
 
 3004 
 
 3050 
 
 3097 
 
 3143 
 
 3190 
 
 3236 
 
 3283 
 
 3329 
 
 3376 
 
 3,422 
 
 
 
 9340 
 
 3469 
 
 3515 
 
 3562 
 
 3608 
 
 3655 
 
 3701 
 
 3748 
 
 3794 
 
 3841 
 
 3887 
 
 
 
 41 
 
 3934 
 
 3980 
 
 4027 
 
 4073 
 
 4120 
 
 4166 
 
 4213 
 
 4259 
 
 4306 
 
 4352 
 
 
 
 42 
 
 4399 
 
 4445 
 
 4492 
 
 4538 
 
 4585 
 
 4631 
 
 4678 
 
 4724 
 
 4771 
 
 4817 
 
 
 47 
 
 43 
 
 4863 
 
 4910 
 
 4956 
 
 5003 
 
 5049 
 
 5096 
 
 5142 
 
 5189 
 
 5235 
 
 5282 
 
 
 ] 5 
 
 44 
 
 5328 
 
 5375 
 
 5421 
 
 546§ 
 
 5514 
 
 5561 
 
 5607 
 
 5654. 
 
 5700 
 
 5747 
 
 
 2 9 
 
 3 14 
 
 , 45 
 
 5793 
 
 5840 
 
 5886 
 
 5932 
 
 5979 
 
 6025 
 
 6072 
 
 6118 
 
 6165 
 
 6211 
 
 
 4 19 
 
 46 
 
 6258 6304| 
 
 6351 
 
 6397 
 
 6444. 
 
 6490 
 
 6537 
 
 6583 
 
 6629 
 
 6676 
 
 
 5 24 
 
 47 
 
 6722 
 
 6769 
 
 6815 
 
 6862 
 
 6908 
 
 6955 
 
 7001 
 
 7048 
 
 7094 
 
 7141 
 
 
 6 28 
 
 7 33 
 
 8 38 
 
 48 
 
 7187 
 
 7233 
 
 7280 
 
 7326 
 
 7373 
 
 7419 
 
 74G6 
 
 7512 
 
 7559 
 
 7605 
 
 
 49 
 
 7652 
 
 7698 
 
 7745 
 
 7791 
 
 f837 
 
 7884 
 
 7930 
 
 7977 
 
 5023 
 
 8070 
 
 
 9 42 
 
 N. 
 
 
 
 "1~ 
 
 2 
 
 3 4 II 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 ID 
 
 Pts. 
 
N.935 L.970 
 
 
 OF NLTMBERS. 
 
 
 
 
 (17:3)1 
 
 N. 
 
 9350 
 
 
 
 1 
 
 8163 
 
 2 
 
 8209 
 
 3 
 
 8255 
 
 4 
 
 8302 
 
 5 
 
 8348 
 
 6 
 
 8395 
 
 7 
 
 8 
 
 8488 
 
 9 
 
 8534 
 
 D 
 
 Pro. 
 
 9708116 
 
 8441 
 
 51 
 
 8581 
 
 8627 
 
 8673 
 
 8720 
 
 8766 
 
 8813 
 
 8859 
 
 8906 
 
 8952 
 
 8999 
 
 
 47 
 
 52 
 
 9045 
 
 9091 
 
 9138 
 
 9184 
 
 9231 
 
 9277 
 
 9324 
 
 9370 
 
 9416 
 
 9463 
 
 
 1 
 
 5 
 
 53 
 
 9509 
 
 9556 
 
 9602 
 
 9649 
 
 9695 
 
 9742 
 
 9788 
 
 9834 
 
 9881 
 
 9927 
 
 
 2 
 
 9 
 
 54 
 
 9974 
 
 0020 
 
 0067 
 
 0113 
 
 0159 
 
 0206 
 
 0252 
 
 0299 
 
 0345 
 
 03*9 1 
 
 
 3 
 4 
 
 14 
 19 
 
 55 
 
 9710438 
 
 0484 
 
 0531 
 
 0577 
 
 0624 
 
 0670 
 
 0716 
 
 0763 
 
 0809 
 
 0856 
 
 
 5 
 
 24 
 
 56 
 
 0902 
 
 0949 
 
 0995 
 
 1041 
 
 1088 
 
 1134 
 
 1181 
 
 1227 
 
 1273 
 
 1320 
 
 
 6 
 
 7 
 
 28 
 33 
 38 
 
 57 
 
 1366 
 
 1413 
 
 1459 
 
 1506 
 
 1552 
 
 1598 
 
 1645 
 
 1691 
 
 1738 
 
 1784 
 
 
 58 
 
 1830 
 
 1877 
 
 1923 
 
 1970 
 
 2016 
 
 2062 
 
 2109 
 
 2155 
 
 2202 
 
 2248 
 
 
 9 
 
 42 
 
 59 
 
 2294 
 
 2341 
 
 2387 
 
 2434 
 
 2480 
 
 2526 
 
 2573 
 
 2619 
 
 2666 
 
 2712 
 
 
 
 9360 
 
 2758 
 
 2805 
 
 2851 
 
 2898 
 
 2944 
 
 2990 
 
 3037 
 
 3083 
 
 3130 
 
 3176 
 
 
 
 61 
 
 3222 
 
 3269 
 
 3315 
 
 3362 
 
 3408 
 
 3454 
 
 3501 
 
 3547 
 
 3594 
 
 3640 
 
 
 
 62 
 
 3686 
 
 3733 
 
 3779 
 
 3826 
 
 3872 
 
 3918 
 
 3965 
 
 4011 
 
 4057 
 
 4104 
 
 
 
 63 
 
 4150 
 
 4197 
 
 4243 
 
 4289 
 
 4336 
 
 4382 
 
 4429 
 
 4475 
 
 4521 
 
 4568 
 
 ^ 
 
 
 64 
 
 4614 
 
 4660 
 
 4707 
 
 4753 
 
 4800 
 
 4846 
 
 4892 
 
 4939 
 
 4985 
 
 5031 
 
 
 
 65 
 
 5078 
 
 5124 
 
 5171 
 
 5217 
 
 5263 
 
 5310 
 
 5356 
 
 5402 
 
 5449 
 
 5495 
 
 
 
 66 
 
 5542 
 
 5588 
 
 5634 
 
 5681 
 
 5727 
 
 5773 
 
 5820 
 
 5866 
 
 5912 
 
 5959 
 
 
 
 67 
 
 6005 
 
 6052 
 
 6098 
 
 6144 
 
 6191 
 
 6237 
 
 6283 
 
 6330 
 
 6376 
 
 6422 
 
 
 
 68 
 
 6469 
 
 6515 
 
 6562 
 
 6608 
 
 6654 
 
 6701 
 
 6747 
 
 6793 
 
 6840 
 
 6886 
 
 
 
 69 
 
 6932 
 
 6979 
 
 7025 
 
 7071 
 
 7118 
 
 7164 
 
 7211 
 
 7257 
 
 7303 
 
 7550 
 
 
 
 9370 
 
 7396 
 
 7442 
 
 7489 
 
 7535 
 
 7581 
 
 7628 
 
 7674 
 
 7720 
 
 7767 
 
 7813 
 
 
 
 71 
 
 7859' 
 
 7906 
 
 7952 
 
 7998 
 
 8045 
 
 8091 
 
 8137 
 
 8184 
 
 8230 
 
 8276 
 
 
 
 72 
 
 8323 
 
 8369 
 
 8415 
 
 8462 
 
 8508 
 
 8554 
 
 8601 
 
 8647 
 
 8694 
 
 8740 
 
 
 
 73 
 
 8786 
 
 8833 
 
 8879 
 
 8925 
 
 8972 
 
 9018 
 
 9064 
 
 9111 
 
 9157 
 
 9203 
 
 
 
 74 
 
 9249 
 
 9296 
 
 934^ 
 
 9388 
 
 9435 
 
 9481 
 
 9527 
 
 9574 
 
 9620 
 
 9666 
 
 
 
 75 
 
 9713 
 
 9759 
 
 9805 
 
 9852 
 
 9898 
 
 9944 
 
 9991 
 
 U037 
 
 0083 
 
 0130 
 
 
 
 76 
 
 9720176 
 
 0222 
 
 0269 
 
 0315 
 
 0361 
 
 0408 
 
 0454 
 
 0500 
 
 0547 
 
 0593 
 
 
 
 77 
 
 0639 
 
 0685 
 
 0732 
 
 0778 
 
 0824 
 
 0871 
 
 0917 
 
 0963 
 
 1010 
 
 1056 
 
 
 
 78 
 
 1102 
 
 1149 
 
 1195 
 
 1241 
 
 1288 
 
 1334 
 
 1380 
 
 1426 
 
 1473 
 
 1519 
 
 
 
 79 
 
 1565 
 
 1612 
 
 1658 
 
 1704 
 
 1751 
 
 1797 
 
 1843 
 
 1889 
 
 1936 
 
 1982 
 
 
 
 9380 
 
 2028 
 
 2075 
 
 2121 
 
 2167 
 
 2214 
 
 2260 
 
 2306 
 
 2352 
 
 2399 
 
 2445 
 
 
 
 81 
 
 2491 
 
 2538 
 
 2584 
 
 2630 
 
 2677 
 
 2723 
 
 2769 
 
 2815 
 
 2862 
 
 2908 
 
 
 
 82 
 
 2954 
 
 3001 
 
 3047 
 
 3093 
 
 3139 
 
 3186 
 
 3232 
 
 3278 
 
 3325 
 
 3371 
 
 
 
 83 
 
 3417 
 
 3463 
 
 3510 
 
 3556 
 
 3602 
 
 3649 
 
 3695 
 
 3741 
 
 3787 
 
 3834 
 
 
 
 84 
 
 3880 
 
 3926 
 
 3973 
 
 4019 
 
 4065 
 
 4111 
 
 4158 
 
 4204 
 
 4250 
 
 4296 
 
 
 
 85 
 
 4343 
 
 4389 
 
 4435 
 
 4482 
 
 4528 
 
 4574 
 
 4620 
 
 4667 
 
 4713 
 
 4759 
 
 
 
 86 
 
 4805 
 
 4852 
 
 4898 
 
 4944 
 
 4991 
 
 .5037 
 
 5083 
 
 5129 
 
 5176 
 
 5222 
 
 
 
 87 
 
 5268 
 
 5314 
 
 5361 
 
 5407 
 
 5453 
 
 5500 
 
 5546 
 
 5592 
 
 5638 
 
 5685 
 
 
 
 88 
 
 5731 
 
 5777 
 
 5823 
 
 5870 
 
 5916 
 
 5962 
 
 6008 
 
 6055 
 
 6101 
 
 6147 
 
 
 
 89 
 
 6193 
 
 6240 
 
 6286 
 
 6332 
 
 6378 
 
 6425 
 
 6471 
 
 6517 
 
 6563 
 
 6610 
 
 
 
 9390 
 
 6056 
 
 6702 
 
 6748 
 
 6795 
 
 6841 
 
 6887 
 
 6933 
 
 6980 
 
 7026 
 
 7072 
 
 
 
 91 
 
 7118 
 
 7165 
 
 7211 
 
 7257 
 
 7303 
 
 7350 
 
 7396 
 
 7442 
 
 7488 
 
 7535 
 
 
 
 92 
 
 7581 
 
 7627 
 
 7673 
 
 7720 
 
 7766 
 
 7812 
 
 7858 
 
 7905 
 
 7951 
 
 7997 
 
 
 46 
 
 93 
 
 8043 
 
 8089 
 
 8136 
 
 8182 
 
 8228 
 
 8274 
 
 8321 
 
 8367 
 
 8413 
 
 8459 
 
 
 1 
 
 5 
 
 94 
 
 8506 
 
 8552 
 
 8598 
 
 8644 
 
 8690 
 
 8737 
 
 8783 
 
 8829 
 
 8875 
 
 8922 
 
 
 2 
 3 
 
 9 
 14 
 
 95 
 
 8968 
 
 9014 
 
 9060 
 
 9107 
 
 9153 
 
 9199 
 
 9245 
 
 9291 
 
 9338 
 
 9384 
 
 
 4 
 
 18 
 
 96 
 
 9430 
 
 9476 
 
 9523 
 
 9569 
 
 9615 
 
 9661 
 
 9707 
 
 9754 
 
 9800 
 
 9846 
 
 
 5 
 
 23 
 
 97 
 
 9892 
 
 9938 
 
 9985 
 
 0031 
 
 0077 
 
 0123 
 
 0170 
 
 0216 
 
 0262 
 
 0308 
 
 
 6 
 
 7 
 8 
 
 28 
 32 
 37 
 
 98 
 
 9730354 
 
 0401 
 
 0447 
 
 0493 
 
 0539 
 
 0585 
 
 0632 
 
 0678 
 
 0724 
 
 0770 
 
 
 99 
 
 N. 
 
 0816 
 
 0863 
 
 1 
 
 0909 
 2~ 
 
 0955 
 
 3 
 
 1001 
 
 ~4~ 
 
 1048 
 
 ~5~ 
 
 1094 
 
 ~6~ 
 
 1140 
 
 1186 
 ~8~ 
 
 1232 
 9 
 
 1) 
 
 9 
 
 41 
 
 
 
 F 
 
 »ts. 
 
(174) LOGARITHMS N. 940 L. .9/3 
 
 N. 
 
 9400 
 
 
 
 1 
 
 1325 
 
 2 
 
 1:^7 1 
 
 3 
 
 1417 
 
 4 
 
 1463 
 
 5 
 
 1510 
 
 6 
 
 1556 
 
 7 
 
 1602 
 
 8 
 
 1648 
 
 9 
 
 1694 
 
 1) 
 
 Pro. 
 
 9731279 
 
 01 
 
 1741 
 
 1787 
 
 1833 
 
 1879 
 
 1925 
 
 1972 
 
 2018 
 
 2064 
 
 2110 
 
 2156 
 
 
 47 
 
 02 
 
 2202 
 
 2249 
 
 2295 
 
 2341 
 
 2387 
 
 2433 
 
 2480 
 
 2526 
 
 2572 
 
 2618 
 
 
 ] 5 
 
 03 
 
 2664 
 
 2711 
 
 2757 
 
 2803 
 
 2849 
 
 2895 
 
 2941 
 
 2988 
 
 3034 
 
 3080 
 
 
 2 9 
 
 3 14 
 
 4 \9 
 
 04 
 
 3126 
 
 3172 
 
 3219 
 
 3265 
 
 3311 
 
 3357 
 
 3403 
 
 3449 
 
 3496 
 
 3542 
 
 
 05 
 
 3588 
 
 3634 
 
 3680 
 
 3727 
 
 3773 
 
 3819 
 
 3865 
 
 3911 
 
 3957 
 
 4004 
 
 
 5 24 
 
 06 
 
 .4050 
 
 4096 
 
 4142 
 
 4188 
 
 4234 
 
 4281 
 
 4327 
 
 4373 
 
 4419 
 
 4465 
 
 
 6 28 
 
 7 33 
 
 8 38 
 
 07 
 
 4511 
 
 4558 
 
 4604 
 
 4650 
 
 4696 
 
 4742 
 
 4788 
 
 4835 
 
 4881 
 
 4927 
 
 
 08 
 
 4973 
 
 5019 
 
 5065 
 
 5112 
 
 5158 
 
 5204 
 
 5250 
 
 5296 
 
 5342 
 
 5389 
 
 
 9 42 
 
 09 
 
 5435 
 
 5481 
 
 5527 
 
 5573 
 
 5619 
 
 5QQ5 
 
 5712 
 
 5758 
 
 5804 
 
 5850 
 
 
 
 9410 
 
 5896 
 
 5942 
 
 5989 
 
 603^5 
 
 6081 
 
 6127 
 
 6173 
 
 6219 
 
 6265 
 
 6312 
 
 
 
 11 
 
 6358 
 
 6404 
 
 6450 
 
 6496 
 
 6542 
 
 6588 
 
 6635 
 
 6681 
 
 6727 
 
 6773 
 
 
 
 12 
 
 6819 
 
 6865 
 
 6911 
 
 6958 
 
 7004 
 
 7050 
 
 7096 
 
 7142 
 
 7188 
 
 7234 
 
 
 
 15 
 
 7281 
 
 7327 
 
 7373 
 
 7419 
 
 7465 
 
 7511 
 
 7557 
 
 7604 
 
 7650 
 
 7696 
 
 
 
 14 
 
 7742 
 
 7788 
 
 7834 
 
 7880 
 
 7926 
 
 7973 
 
 8019 
 
 8065 
 
 8111 
 
 8157 
 
 
 
 15 
 
 8203 
 
 8249 
 
 8295 
 
 8342 
 
 8388 
 
 8434 
 
 8480 
 
 8526 
 
 8572 
 
 8618 
 
 
 
 16 
 
 8664 
 
 8711 
 
 8757 
 
 8803 
 
 8849 
 
 8895 
 
 8941 
 
 8987 
 
 9033 
 
 9080 
 
 
 
 17 
 
 9126 
 
 9172 
 
 9218 
 
 9264 
 
 9310 
 
 9356 
 
 9402 
 
 9449 
 
 9495 
 
 9541 
 
 
 
 18 
 
 9587 
 
 9633 
 
 9679 
 
 9725 
 
 9771 
 
 9817 
 
 9864 
 
 9910 
 
 9956 
 
 0002 
 
 
 
 19 
 
 9740048 
 
 0094 
 
 0140 
 
 0186 
 
 0232 
 
 0279 
 
 0325 
 
 0371 
 
 0417 
 
 0463 
 
 
 
 9420 
 
 0509 
 
 0555 
 
 0601 
 
 0647 
 
 0693 
 
 0740 
 
 0786 
 
 0832 
 
 0878 
 
 0924 
 
 
 
 21 
 
 0970 
 
 1016 
 
 1062 
 
 1108 
 
 1154 
 
 1201 
 
 1247 
 
 1293 
 
 1339 
 
 1 385 
 
 
 
 22 
 
 1431 
 
 1477 
 
 1523 
 
 1569 
 
 1615 
 
 1661 
 
 1708 
 
 1754 
 
 1800 
 
 1846 
 
 
 
 23 
 
 1892 
 
 1938 
 
 1984 
 
 2030 
 
 2076 
 
 2122 
 
 2168 
 
 2215 
 
 2261 
 
 2307 
 
 
 
 24 
 
 2353 
 
 2399 
 
 2445 
 
 2491 
 
 2537 
 
 2583 
 
 2629 
 
 #)75 
 
 2721 
 
 2768 
 
 
 
 25 
 
 2814 
 
 2860 
 
 2906 
 
 2952 
 
 .2998 
 
 3044 
 
 3090 
 
 3136 
 
 3182 
 
 3228 
 
 
 
 26 
 
 3274 
 
 3320 
 
 3367 
 
 3413 
 
 3459 
 
 3505 
 
 3551 
 
 3597 
 
 3643 
 
 3689 
 
 
 
 27 
 
 3735 
 
 3781 
 
 3827 
 
 3873 
 
 3919 
 
 3965 
 
 4011 
 
 4058 
 
 4104 
 
 4150 
 
 
 
 28 
 
 4196 
 
 4242 
 
 4288 
 
 4334 
 
 4380 
 
 4426 
 
 4472 
 
 4518 
 
 4564 
 
 4610 
 
 
 
 29 
 
 4656 
 
 4702 
 
 4748 
 
 4795 
 
 4841 
 
 4887 
 
 4933 
 
 4979 
 
 5025 
 
 5071 
 
 
 
 9430 
 
 5117 
 
 5163 
 
 5209 
 
 5255 
 
 5301 
 
 5347 
 
 5393 
 
 5439 
 
 5485 
 
 5531 
 
 
 
 31 
 
 5577 
 
 5623 
 
 5670 
 
 5716 
 
 5762 
 
 5808 
 
 5854 
 
 5900 
 
 5946 
 
 5992 
 
 
 
 32 
 
 6038 
 
 6084 
 
 6130 
 
 6176 
 
 6222 
 
 6268 
 
 6314 
 
 6360 
 
 6406 
 
 6452 
 
 
 
 33 
 
 6498 
 
 6544 
 
 6590 
 
 QQ3Q 
 
 6683 
 
 6729 
 
 6775 
 
 6821 
 
 6867 
 
 6913 
 
 
 
 34 
 
 6959 
 
 7005 
 
 7051 
 
 7097 
 
 7143 
 
 7189 
 
 7235 
 
 7281 
 
 7327 
 
 7373 
 
 
 
 S5 
 
 7419 
 
 7465 
 
 7511 
 
 7557 
 
 7603 
 
 7649 
 
 7695 
 
 7741 
 
 7787 
 
 7833 
 
 
 
 36 
 
 7879 
 
 7925 
 
 7971 
 
 8017 
 
 8063 
 
 8109 
 
 8155 
 
 8201 
 
 8248 
 
 8294 
 
 
 
 37 
 
 8340 
 
 8386 
 
 8432 
 
 8478 
 
 8524 
 
 8570 
 
 8616 
 
 8662 
 
 8708 
 
 8754 
 
 
 
 38 
 
 8800 
 
 8846 
 
 8892 
 
 8938 
 
 8984 
 
 9030 
 
 9076 
 
 9122 
 
 9168 
 
 9214 
 
 
 
 39 
 
 9260 
 
 9306 
 
 9352 
 
 939^ 
 
 9444 
 
 9490 
 
 9536 
 
 9582 
 
 9628 
 
 9674 
 
 
 
 9440 
 
 9720 
 
 9766 
 
 9812 
 
 9858 
 
 9904 
 
 9950 
 
 9996 
 
 0042 
 
 0088 
 
 0134 
 
 46 
 
 
 41 
 
 9750180 
 
 0226 
 
 0272 
 
 0318 
 
 0364 
 
 0410 
 
 0456 
 
 0502 
 
 0548 
 
 0594 
 
 
 
 42 
 
 0640 
 
 0686 
 
 0732 
 
 0778 
 
 0824 
 
 0870 
 
 0916 
 
 0962 
 
 1008 
 
 1054 
 
 
 46 
 
 '43 
 
 1100 
 
 1146 
 
 1192 
 
 1238 
 
 1284 
 
 1330 
 
 1376 
 
 1422 
 
 1468 
 
 1514 
 
 
 J 5 
 
 44 
 
 1560 
 
 1606 
 
 1652 
 
 1698 
 
 1744 
 
 1790 
 
 1836 
 
 1882 
 
 1928 
 
 1974 
 
 
 2 9 
 
 3 14 
 
 45 
 
 2020 
 
 2066 
 
 2112 
 
 2158 
 
 2204 
 
 2250 
 
 2296 
 
 2341 
 
 2387 
 
 2433 
 
 
 418 
 
 46 
 
 2479 
 
 2525 
 
 2571 
 
 2617 
 
 2663 
 
 2709 
 
 2755 
 
 2801 
 
 2847 
 
 2893 
 
 
 5 23 
 
 47 
 
 2939 
 
 2985 
 
 3031 
 
 3077 
 
 3123 
 
 3169 
 
 3215 
 
 3261 
 
 3307 
 
 3353 
 
 
 6 28 
 
 7 32 
 
 8 37 
 
 48 
 
 3399 
 
 3445 
 
 3491 
 
 3537 
 
 3583 
 
 3629 
 
 3675 
 
 3721 
 
 3767 
 
 3813 
 
 
 49 
 
 N. 
 
 3S58 
 
 3904 
 
 1 
 
 3950 
 2 
 
 3996 
 
 3 
 
 4042 
 
 4 
 
 4088 
 
 5 
 
 4134 
 
 6 
 
 4180 
 
 7 
 
 4226 
 8 
 
 4272 
 
 9 
 
 D 
 
 9 41 
 
 Pts. 
 
 
 
N.C)45 L.975 OF NUMBERS. (175)| 
 
 N. 
 
 
 
 1 
 
 4364 
 
 2 
 4410 
 
 3 
 
 4456 
 
 4 
 
 4502 
 
 5 
 
 4548 
 
 6 
 
 4594 
 
 7 
 
 464C 
 
 8 
 
 4686 
 
 9 
 
 4732 
 
 D 
 
 Pro. 
 
 9754318 
 
 51 
 
 4778 
 
 4824 
 
 4870 
 
 4915 
 
 4961 
 
 5007 
 
 5053 
 
 5099 
 
 5145 
 
 5191 
 
 
 46 
 
 52 
 
 5237 
 
 5283 
 
 5329 
 
 5375 
 
 5421 
 
 5467 
 
 5513 
 
 5559 
 
 5605 
 
 5651 
 
 
 1 5 
 
 53 
 
 5697 
 
 5743 
 
 5788 
 
 5834 
 
 5880 
 
 5926 
 
 5972 
 
 6018 
 
 6064 
 
 6110 
 
 
 2 9 
 
 54 
 
 6156 
 
 6202 
 
 6248 
 
 0294 
 
 6340 
 
 6386 
 
 6432 
 
 6478 
 
 6523 
 
 6569 
 
 
 3 14 
 
 4 18 
 
 5.5 
 
 6615 
 
 6661 
 
 6707 
 
 6753 
 
 6799 
 
 6845 
 
 6891 
 
 6937 
 
 6983 
 
 7029 
 
 
 5 23 
 
 56 
 
 7075 
 
 7121 
 
 7166 
 
 7212 
 
 7258 
 
 7304 
 
 7350 
 
 7396 
 
 7442 
 
 7'488 
 
 
 G28 
 
 51 
 
 7534 
 
 7580 
 
 7626 
 
 7672 
 
 7718 
 
 7763 
 
 7809 
 
 7855 
 
 7901 
 
 7947 
 
 
 7 32 
 
 8 37 
 
 dUi 
 
 58 
 
 7993 
 
 8039 
 
 8085 
 
 8131 
 
 8177 
 
 8223 
 
 8269 
 
 8315 
 
 S3 60 
 
 8406 
 
 
 59 
 
 8452 
 
 8498 
 
 8544 
 
 8590 
 
 8636 
 
 8682 
 
 8728 
 
 8774 
 
 8820 
 
 8865 
 
 
 
 94.60 
 
 8911 
 
 8957 
 
 9003 
 
 9049 
 
 9095 
 
 9141 
 
 9187 
 
 9233 
 
 9279 
 
 9325 
 
 
 
 61 
 
 9370 
 
 9416 
 
 9462 
 
 9508 
 
 9554 
 
 9600 
 
 9646 
 
 9692 
 
 9738 
 
 9784 
 
 
 
 62 
 
 9829 
 
 9875 
 
 9921 
 
 9967 
 
 0013 
 
 0059 
 
 0105 
 
 0151 
 
 0197 
 
 0243 
 
 
 
 63 
 
 9760288 
 
 0334 
 
 0380 
 
 0426 
 
 0472 
 
 0518 
 
 0564 
 
 0610 
 
 0656 
 
 0701 
 
 
 
 61. 
 
 0747 
 
 0793 
 
 0839 
 
 0885 
 
 0931 
 
 0977 
 
 1023 
 
 1069 
 
 1114 
 
 1160 
 
 
 
 65 
 
 1206 
 
 1252 
 
 1298 
 
 1344 
 
 1390 
 
 1436 
 
 1481 
 
 1527 
 
 1573 
 
 I6I9 
 
 
 
 66 
 
 1665 
 
 1711 
 
 1757 
 
 1803 
 
 1849 
 
 1894 
 
 1940 
 
 1986 
 
 2032 
 
 2078 
 
 
 
 61 
 
 2124 
 
 2170 
 
 2216 
 
 2261 
 
 2307 
 
 2353 
 
 2399 
 
 2445 
 
 2491 
 
 2537 
 
 
 
 68 
 
 2582 
 
 2628 
 
 2674 
 
 2720 
 
 2766 
 
 2812 
 
 2858 
 
 2904 
 
 2949 
 
 2995 
 
 
 
 69 
 
 3041 
 
 3087 
 
 3133 
 
 3179 
 
 3225 
 
 3270 
 
 3316 
 
 3362 
 
 3408 
 
 3454 
 
 
 
 9470 
 
 3500 
 
 3546 
 
 3592 
 
 3637 
 
 3683 
 
 3729 
 
 3115 
 
 3821 
 
 3867 
 
 3913 
 
 
 
 71 
 
 3958 
 
 4004 
 
 4050 
 
 4096 
 
 4142 
 
 4188 
 
 4233 
 
 4279 
 
 4325 
 
 4371 
 
 
 
 72 
 
 4417 
 
 4463 
 
 4509 
 
 4554 
 
 4600 
 
 4646 
 
 4692 
 
 4738 
 
 4784 
 
 4830 
 
 
 
 73 
 
 4875 
 
 4921 
 
 4967 
 
 5013 
 
 5059 
 
 5105 
 
 5150 
 
 5196 
 
 5242 
 
 5288 
 
 
 
 74 
 
 5334 
 
 5380 
 
 5425 
 
 5471 
 
 5517 
 
 5563 
 
 5609 
 
 5655 
 
 5701 
 
 5746 
 
 
 
 75 
 
 5792 
 
 5838 
 
 5884 
 
 5930 
 
 5976 
 
 6021 
 
 6067 
 
 6113 
 
 6159 
 
 6205 
 
 
 
 76 
 
 6251 
 
 6296 
 
 6342 
 
 63S8 
 
 6434 
 
 6480 
 
 6525 
 
 6571 
 
 6617 
 
 6663 
 
 
 
 77 
 
 6709 
 
 6755 
 
 6800 
 
 6846 
 
 6892 
 
 6938 
 
 6984 
 
 7030 
 
 7075 
 
 7121 
 
 
 
 78 
 
 7167 
 
 7213 
 
 7259 
 
 7305 
 
 7350 
 
 7396 
 
 7442 
 
 7488 
 
 7534 
 
 7579 
 
 
 
 79 
 
 7625 
 
 7671 
 
 7717 
 
 7763 
 
 7808 
 
 7854 
 
 7900 
 
 7946 
 
 7992 
 
 8038 
 
 
 
 9480 
 
 8083 
 
 8129 
 
 8175 
 
 8221 
 
 8267 
 
 8312 
 
 8358 
 
 8404 
 
 8450 
 
 8496 
 
 
 
 81 
 
 8541 
 
 8587 
 
 8633 
 
 8679 
 
 8725 
 
 8770 
 
 8816 
 
 8862 
 
 8908 
 
 8954 
 
 
 
 82 
 
 9000 
 
 9045 
 
 9091 
 
 9137 
 
 9183 
 
 9229 
 
 9274 
 
 9320 
 
 9366 
 
 9412 
 
 
 
 83 
 
 9458 
 
 9503 
 
 9549 
 
 9595 
 
 9641 
 
 9686 
 
 9732 
 
 9778 
 
 9824 
 
 9870 
 
 
 
 84 
 
 9915 
 
 9961 
 
 0007 
 
 0053 
 
 0099 
 
 0144 
 
 0190 
 
 0236 
 
 0282 
 
 0328 
 
 
 
 85 
 
 9770373 
 
 0419 
 
 0465 
 
 0511 
 
 0556 
 
 0602 
 
 0648 
 
 0694 
 
 0740 
 
 0785 
 
 
 
 86 
 
 0831 
 
 0877 
 
 0923 
 
 0969 
 
 1014 
 
 1060 
 
 1106 
 
 1152 
 
 1197 
 
 1243 
 
 
 
 87 
 
 1289 
 
 1335 
 
 1381 
 
 1426 
 
 1472 
 
 1518 
 
 1564 
 
 1609 
 
 1655 
 
 1701 
 
 
 
 88 
 
 1747 
 
 1793 
 
 1838 
 
 1884 
 
 1930 
 
 1976 
 
 2021 
 
 2067 
 
 2113 
 
 2159 
 
 
 
 89 
 
 2204 
 
 2250 
 
 2296 
 
 2342 
 
 2388 
 
 2433 
 
 2479 
 
 2525 
 
 2571 
 
 2616 
 
 
 
 9490 
 
 2662 
 
 2708 
 
 2754 
 
 2799 
 
 2845 
 
 2891 
 
 2937 
 
 2982 
 
 3028 
 
 3074 
 
 
 
 91 
 
 3 1 20 
 
 3165 
 
 3211 
 
 3257 
 
 3303 
 
 3349 
 
 3394 
 
 3440 
 
 3486 
 
 3532 
 
 
 
 92 
 
 3577 
 
 3623 
 
 3669 
 
 3715 
 
 3760 
 
 3806 
 
 3852 
 
 3898 
 
 3943 
 
 3989 
 
 
 45 
 
 93 
 
 4035 
 
 4081 
 
 4126 
 
 4172 
 
 4218 
 
 4264 
 
 4309 
 
 4355 
 
 4401 
 
 4447 
 
 
 1 5 
 
 94 
 
 4492 
 
 4538 
 
 4584 
 
 4630 
 
 4675 
 
 4721 
 
 4767 
 
 4812 
 
 4858 
 
 4904 
 
 
 2 9 
 
 3 14 
 
 4 18 
 
 95 
 
 4950 
 
 4995 
 
 5041 
 
 5087 
 
 5133 
 
 5178 
 
 5224 
 
 5270 
 
 5316 
 
 5361 
 
 
 96 
 
 5407 
 
 5453 
 
 5499 
 
 5544 
 
 5590 
 
 5636 
 
 5681 
 
 5727 
 
 5113 
 
 5819 
 
 
 5 23 
 
 97 
 
 5864 
 
 5910 
 
 5956 
 
 6002 
 
 6047 
 
 6093 
 
 6139 
 
 6184 
 
 6230 
 
 6276 
 
 
 G27 
 
 7 32 
 
 8 36 
 
 98 
 
 6322 
 
 6367 
 
 6413 
 
 6459 
 
 6505 
 
 6550 
 
 6596 
 
 6642 
 
 6687 
 
 6733 
 
 
 99 
 
 N. 
 
 6779 
 
 6825 
 1 
 
 6870 
 2 
 
 6916 
 
 3 
 
 6962 
 
 7007 
 
 7053 
 
 7099 
 
 7145 
 
 8 1 
 
 7190 
 
 9 
 
 D 
 
 941 
 
 Pts. 
 
 
 
 4 
 
 6 
 
 7 
 
( 1 76) LOCxARiTHMs ' N. 950 L. 977 
 
 9500 
 
 
 
 1 
 7282 
 
 2 
 
 7327 
 
 3- 
 
 7373 
 
 4 
 
 7419 
 
 5 
 
 6 
 
 7510 
 
 7 
 
 7556 
 
 8 
 
 7602 
 
 9 
 
 7647 
 
 D 
 
 Pro. 
 
 c}777236 
 
 7465 
 
 01 
 
 7693 
 
 7739 
 
 7785 
 
 7830 
 
 7876 
 
 7922 
 
 7967 
 
 8013 
 
 8059 
 
 8105 
 
 
 46 
 
 02 
 
 8 1 50 
 
 8196 
 
 8242 
 
 8287 
 
 8333 
 
 8379 
 
 8424 
 
 8470 
 
 8516 
 
 8562 
 
 
 1 
 
 5 
 
 0.3 
 
 8^07 
 
 8653 
 
 8699 
 
 8744 
 
 8790 
 
 8836 
 
 8881 
 
 8927 
 
 8973 
 
 9019 
 
 
 2 
 3 
 4 
 
 9 
 14 
 
 18 
 
 04 
 
 9064 
 
 9110 
 
 9156 
 
 9201 
 
 9247 
 
 9293 
 
 9338 
 
 9384 
 
 9430 
 
 9476 
 
 
 05 
 
 9521 
 
 9567 
 
 9613 
 
 9658 
 
 9704 
 
 9750 
 
 9795 
 
 9841 
 
 9887 
 
 9932 
 
 
 5 
 
 f. 
 
 06 
 
 9978 
 
 (5024 
 
 0069 
 
 0115 
 
 0161 
 
 0207 
 
 0252 
 
 0298 
 
 0344 
 
 0389 
 
 
 6 
 7 
 
 g 
 
 28 
 32 
 37 
 
 07 
 
 9780435 
 
 0481 
 
 0526 
 
 0572 
 
 0618 
 
 0663 
 
 0709 
 
 0755 
 
 0800 
 
 0846 
 
 
 08 
 
 0892 
 
 0937 
 
 0983 
 
 1029 
 
 1074 
 
 1120 
 
 1166 
 
 1211 
 
 1257 
 
 1303 
 
 
 9 
 
 41 
 
 09 
 
 1348 
 
 1394 
 
 1440 
 
 1485 
 
 1531 
 
 1577 
 
 1622 
 
 1668 
 
 1714 
 
 1760 
 
 
 
 9510 
 
 1805 
 
 1851 
 
 1897 
 
 1942 
 
 1988 
 
 2033 
 
 2079 
 
 2125 
 
 2170 
 
 2216 
 
 
 
 11 
 
 2262 
 
 2307 
 
 2353 
 
 2399 
 
 2444 
 
 2490 
 
 2536 
 
 2581 
 
 2627 
 
 2673 
 
 
 
 12 
 
 2718 
 
 2764 
 
 2810 
 
 2855 
 
 2901 
 
 2947 
 
 2992 
 
 3038 
 
 3084 
 
 3129 
 
 
 
 13 
 
 3175 
 
 3221 
 
 3266 
 
 3312 
 
 3358 
 
 3403 
 
 3449 
 
 3495 
 
 3540 
 
 3586 
 
 
 
 14. 
 
 3631 
 
 3677 
 
 3723 
 
 3768 
 
 3814 
 
 3860 
 
 3905 
 
 3951 
 
 3997 
 
 4042 
 
 
 
 15 
 
 4088 
 
 4134 
 
 4179 
 
 4225 
 
 4270 
 
 4316 
 
 4362 
 
 4407 
 
 4453 
 
 4499 
 
 
 
 16 
 
 4544 
 
 4590 
 
 4636 
 
 4681 
 
 4727 
 
 4773 
 
 4818 
 
 4864 
 
 4909 
 
 4955 
 
 
 
 17 
 
 5001 
 
 5046 
 
 5092 
 
 5138 
 
 5183 
 
 5229 
 
 5274 
 
 5320 
 
 5366 
 
 5411 
 
 
 
 18 
 
 5457 
 
 5503 
 
 5548 
 
 5594 
 
 5640 
 
 5685 
 
 5731 
 
 5776 
 
 5822 
 
 5868 
 
 
 
 19 
 
 5913 
 
 5959 
 
 6005 
 
 6050 
 
 6096 
 
 6141 
 
 6187 
 
 6233 
 
 6278 
 
 6324 
 
 
 
 9520 
 
 6369 
 
 6415 
 
 6461 
 
 6506 
 
 6552 
 
 6598 
 
 6643 
 
 6689 
 
 6734 
 
 6780 
 
 
 
 21 
 
 6826 
 
 6871 
 
 6917 
 
 6962 
 
 7008 
 
 7054 
 
 7099 
 
 7145 
 
 7191 
 
 7236 
 
 
 
 22 
 
 7282 
 
 7327 
 
 7373 
 
 7419 
 
 7464 
 
 7510 
 
 7555 
 
 7601 
 
 7647 
 
 7692 
 
 
 
 23 
 
 7738 
 
 7783 
 
 7829 
 
 7875 
 
 7920 
 
 7966 
 
 8011 
 
 8057 
 
 8103 
 
 8148 
 
 
 
 24 
 
 8194 
 
 8239 
 
 8285 
 
 8331 
 
 8376 
 
 8422 
 
 8467 
 
 8513 
 
 8559 
 
 8604 
 
 
 
 25 
 
 8650 
 
 8695 
 
 8741 
 
 8787 
 
 8832 
 
 8878 
 
 8923 
 
 8969 
 
 9015 
 
 9060 
 
 
 
 26 
 
 9106 
 
 9151 
 
 9197 
 
 9243 
 
 9288 
 
 9334 
 
 9379 
 
 9425 
 
 9470 
 
 9516 
 
 
 
 27 
 
 9562 
 
 9607 
 
 9653 
 
 9698 
 
 9744 
 
 9790 
 
 9835 
 
 9881 
 
 9926 
 
 9972 
 
 
 
 28 
 
 9790017 
 
 0063 
 
 0109 
 
 0154 
 
 0200 
 
 0245 
 
 0291 
 
 0337 
 
 0382 
 
 0428 
 
 
 
 29 
 
 0473 
 
 0519 
 
 0564 
 
 0610 
 
 0656 
 
 0701 
 
 0747 
 
 0792 
 
 0838 
 
 0883 
 
 
 
 9530 
 
 0929 
 
 0975 
 
 1020 
 
 1066 
 
 1111 
 
 1157 
 
 1202 
 
 1248 
 
 1294 
 
 1339 
 
 
 
 31 
 
 1385 
 
 1430 
 
 1476 
 
 1521 
 
 1567 
 
 1613 
 
 1658 
 
 1704 
 
 1749 
 
 1795 
 
 
 
 32 
 
 1840 
 
 1886 
 
 1931 
 
 1977 
 
 2023 
 
 2068 
 
 2114 
 
 2159 
 
 2205 
 
 2250 
 
 
 
 33 
 
 2296 
 
 2341 
 
 2387 
 
 2433 
 
 2478 
 
 2524 
 
 2569 
 
 2615 
 
 2660 
 
 2706 
 
 
 
 34 
 
 2751 
 
 2797 
 
 2843 
 
 2888 
 
 2934 
 
 2979 
 
 3025 
 
 3070 
 
 3116 
 
 3161 
 
 
 
 35 
 
 3207 
 
 3253 
 
 3298 
 
 3344 
 
 3389 
 
 3435 
 
 3480 
 
 3526 
 
 3571 
 
 3617 
 
 
 
 36 
 
 3662 
 
 3708 
 
 3754 
 
 3799 
 
 3845 
 
 3890 
 
 3936 
 
 3981 
 
 4027 
 
 4072 
 
 
 
 37 
 
 4118 
 
 4163 
 
 4^09 
 
 4254 
 
 4300 
 
 4346 
 
 4391 
 
 4437 
 
 4482 
 
 4528 
 
 
 
 38 
 
 4573 
 
 4619 
 
 4664 
 
 4710 
 
 4755 
 
 4801 
 
 4846 
 
 4892 
 
 4937 
 
 4983 
 
 
 
 39 
 
 5028 
 
 5074 
 
 5120 
 
 5165 
 
 5211 
 
 5256 
 
 5302 
 
 5347 
 
 5393 
 
 5438 
 
 
 
 054O 
 
 5484 
 
 5529 
 
 5575 
 
 5620 
 
 566Q 
 
 5711 
 
 5757 
 
 5802 
 
 5848 
 
 5893 
 
 
 
 41 
 
 5939 
 
 5984 
 
 6030 
 
 6076 
 
 6121 
 
 6167 
 
 6212 
 
 6258 
 
 6303 
 
 6349 
 
 
 
 42 
 
 6394 
 
 6440 
 
 6485 
 
 6531 
 
 6576 
 
 6622 
 
 6667 
 
 6713 
 
 6758 
 
 6804 
 
 
 45 
 
 43 
 
 6849 
 
 6895 
 
 6940 
 
 6986 
 
 7031 
 
 7077 
 
 7122 
 
 7168 
 
 7213 
 
 7259 
 
 
 1 
 
 5 
 
 44 
 
 7304 
 
 7350 
 
 7395 
 
 7441 
 
 7486 
 
 7532 
 
 7577 
 
 7623 
 
 7668 
 
 7714 
 
 
 2 
 
 3 
 
 9 
 14 
 
 45 
 
 7759 
 
 7805 
 
 7850 
 
 7896 
 
 7941 
 
 7987 
 
 8032 
 
 8078 
 
 8123 
 
 8169 
 
 
 4 
 
 18 
 
 46 
 
 8214 
 
 8260 
 
 8305 
 
 8351 
 
 8396 
 
 8442 
 
 8487 
 
 8533 
 
 8578 
 
 8624 
 
 
 5 
 
 6 
 
 7 
 
 23 
 27 
 32 
 
 47 
 
 8669 
 
 8715 
 
 8760 
 
 8806 
 
 8851 
 
 8897 
 
 8942 
 
 8988 
 
 9033 
 
 9079 
 
 
 48 
 
 9124 
 
 9170 
 
 9215 
 
 9261 
 
 9306 
 
 9352 
 
 9397 
 
 9442 
 
 9488 
 
 9533 
 
 
 8 
 
 36 
 
 49 
 
 9579 
 
 9624 
 1 
 
 9670 
 2 
 
 9715 
 
 3 
 
 9761 
 1 4 
 
 9806 
 
 5 
 
 9852 
 
 6 
 
 9897 
 
 7 
 
 9943 
 8 
 
 9988 
 
 9 
 
 D 
 
 9 
 
 41 
 
 N. 
 
 
 
 P 
 
 ts. 
 
N.955 L.980 OF numbers. 0??)] 
 
 N. 
 
 9350 
 
 
 
 1 
 0079 
 
 9, 
 
 0125 
 
 3 
 
 0170 
 
 4 
 0216 
 
 5 
 
 0261 
 
 6 
 
 0307 
 
 7 
 
 0352 
 
 8 
 
 0398 
 
 2_ 
 
 0443 
 
 D 
 
 Pro. 
 
 9800034 
 
 51 
 
 0488 
 
 0534 
 
 0579 
 
 0625 
 
 0670 
 
 0716 
 
 0761 
 
 0807 
 
 0852 
 
 0898 
 
 
 46 
 
 5 '2 
 
 0943 
 
 0989 
 
 1034 
 
 1080 
 
 1125 
 
 1170 
 
 1216 
 
 1261 
 
 1307 
 
 1352 
 
 
 1 
 
 5 
 
 53 
 
 1398 
 
 1443 
 
 1489 
 
 1.^34 
 
 1580 
 
 1625 
 
 1671 
 
 1716 
 
 1761 
 
 1807 
 
 
 2 
 3 
 4 
 
 9 
 
 14 
 
 18 
 
 54 
 
 1852 
 
 1898 
 
 1943 
 
 1989 
 
 2034 
 
 2080 
 
 2125 
 
 2171 
 
 2216 
 
 2261 
 
 
 55 
 
 2307 
 
 2352 
 
 2398 
 
 2443 
 
 2489 
 
 2534 
 
 2580 
 
 2625 
 
 2671 
 
 2716 
 
 
 5 
 
 23 
 
 56 
 
 2761 
 
 2807 
 
 2852 
 
 2898 
 
 2943 
 
 2989 
 
 3034 
 
 3080 
 
 3125 
 
 3170 
 
 
 6 
 7 
 g 
 
 28 
 32 
 
 37 
 
 51 
 
 3216 
 
 3261 
 
 3307 
 
 3352 
 
 3398 
 
 3443 
 
 3489 
 
 3534 
 
 3579 
 
 3625 
 
 
 58 
 
 3670 
 
 37 1 6 
 
 3761 
 
 3807 
 
 3852 
 
 3897 
 
 3943 
 
 3988 
 
 4034 
 
 4079 
 
 
 9 
 
 41 
 
 59 
 
 4125 
 
 4170 
 
 4215 
 
 4261 
 
 4306 
 
 4352 
 
 4397 
 
 4443 
 
 4488 
 
 4533 
 
 
 
 9500 
 
 4579 
 
 4624 
 
 4670 
 
 4715 
 
 4764 
 
 4806 
 
 4851 
 
 4897 
 
 4942 
 
 4988 
 
 
 
 6\ 
 
 5033 
 
 5079 
 
 5124 
 
 5169 
 
 5215 
 
 5260 
 
 5306 
 
 5351 
 
 5397 
 
 5442 
 
 
 
 62 
 
 5487 
 
 55^'i 
 
 5578 
 
 5624 
 
 5669 
 
 5714 
 
 5760 
 
 5805 
 
 5851 
 
 5§96 
 
 
 
 6^ 
 
 5942 
 
 5987 
 
 6032 
 
 6078 
 
 6123 
 
 6169 
 
 6214 
 
 6259 
 
 6305 
 
 6350 
 
 
 
 64 
 
 6396 
 
 6441 
 
 6486 
 
 6532 
 
 6577 
 
 6623 
 
 6668 
 
 6714 
 
 6759 
 
 6804 
 
 
 
 65 
 
 6850 
 
 6895 
 
 694 li 
 
 6986 
 
 7031 
 
 7077 
 
 7122 
 
 7168 
 
 7213 
 
 7258 
 
 
 
 66 
 
 7304 
 
 7349 
 
 7395 
 
 7440 
 
 7485 
 
 7531 
 
 7576 
 
 7622 
 
 7667 
 
 7712 
 
 
 
 67 
 
 7758 
 
 7803 
 
 7849 
 
 7894 
 
 7939 
 
 7985 
 
 8030 
 
 8075 
 
 8121 
 
 8166 
 
 
 
 68 
 
 8212 
 
 8257 
 
 8302 
 
 8348 
 
 8393 
 
 8439 
 
 8484 
 
 8529 
 
 8575 
 
 8620 
 
 
 
 69 
 
 8666 
 
 8711 
 
 8756 
 
 8802 
 
 8847 
 
 8892 
 
 8938 
 
 8983 
 
 9029 
 
 9074 
 
 
 
 9570 
 
 9119 
 
 9165 
 
 9210 
 
 9256 
 
 9301 
 
 9346 
 
 9392 
 
 9437 
 
 9482 
 
 9528 
 
 
 
 71 
 
 9573 
 
 9619 
 
 9664 
 
 9709 
 
 9735 
 
 9800 
 
 9845 
 
 9891 
 
 9936 
 
 9982 
 
 
 
 72 
 
 9810027 
 
 0072 
 
 0118 
 
 0163 
 
 0208 
 
 0254 
 
 0299 
 
 0344 
 
 0390 
 
 0435 
 
 
 
 73 
 
 0481. 
 
 0526 
 
 0571 
 
 0617 
 
 0662 
 
 0707 
 
 0753 
 
 0798 
 
 0844 
 
 0889 
 
 
 
 74 
 
 0934 
 
 0980 
 
 1025 
 
 1070 
 
 1116 
 
 1161 
 
 1206 
 
 1252 
 
 1297 
 
 1342 
 
 
 
 75 
 
 1388 
 
 1433 
 
 1479 
 
 1524 
 
 1569 
 
 1615 
 
 1660 
 
 1705 
 
 1751 
 
 1796 
 
 
 
 76 
 
 1841 
 
 1887 
 
 1932 
 
 1977 
 
 2023 
 
 2068 
 
 2113 
 
 2159 
 
 2204 
 
 2250 
 
 
 
 77 
 
 2295 
 
 2340 
 
 2386 
 
 2431 
 
 2476 
 
 2522 
 
 2567 
 
 2612 
 
 2658 
 
 2703 
 
 
 
 78 
 
 2748 
 
 2794 
 
 2839 
 
 2884 
 
 2930 
 
 2975 
 
 3020 
 
 3066 
 
 3111 
 
 3156 
 
 
 
 79 
 
 3202 
 
 3247 
 
 3292 
 
 3338 
 
 3383 
 
 3428 
 
 3474 
 
 3519 
 
 3564 
 
 3610 
 
 
 
 9580 
 
 3655 
 
 3700 
 
 3746 
 
 3791 
 
 3836 
 
 3882 
 
 3927 
 
 3972 
 
 4018 
 
 4063 
 
 
 
 81 
 
 4108 
 
 4154 
 
 4199 
 
 4244 
 
 4290 
 
 4335 
 
 4380 
 
 4426 
 
 4471 
 
 4516 
 
 
 
 82 
 
 4562 
 
 4607 
 
 4652 
 
 4698 
 
 4743 
 
 4788 
 
 4834 
 
 4879 
 
 4924 
 
 4970 
 
 
 
 83 
 
 5015 
 
 5060 
 
 5106 
 
 5151 
 
 5196 
 
 5241 
 
 5287 
 
 5332 
 
 5377 
 
 5423 
 
 
 
 84 
 
 5468 
 
 5513 
 
 5559 
 
 5604 
 
 5649 
 
 5695 
 
 5740 
 
 5785 
 
 5831 
 
 5876 
 
 
 
 85 
 
 5921 
 
 5966 
 
 6012 
 
 6057 
 
 6102 
 
 6148 
 
 6193 
 
 6238 
 
 6284 
 
 6329 
 
 
 
 86 
 
 6374 
 
 6420 
 
 6465 
 
 6510 
 
 6555 
 
 6601 
 
 6646 
 
 6691 
 
 6737 
 
 6782 
 
 
 
 87 
 
 6827 
 
 6873 
 
 6918 
 
 6963 
 
 7008 
 
 7054 
 
 7099 
 
 7144 
 
 7190 
 
 7235 
 
 
 
 88 
 
 7280 
 
 7326 
 
 7371 
 
 7416 
 
 7461 
 
 7507 
 
 7552 
 
 7597 
 
 7643 
 
 7688 
 
 
 
 89 
 
 7733 
 
 7778 
 
 7824 
 
 7869 
 
 7914 
 
 7960 
 
 8005 
 
 8050 
 
 8095 
 
 8141 
 
 
 
 9590 
 
 8186 
 
 8231 
 
 8277 
 
 8322 
 
 8367 
 
 8412 
 
 8458 
 
 8503 
 
 8548 
 
 8594 
 
 
 
 91 
 
 8639 
 
 8684 
 
 8729 
 
 8775 
 
 8820 
 
 8865 
 
 8911 
 
 8956 
 
 9001 
 
 9046 
 
 
 
 92 
 
 9092 
 
 9137 
 
 9182 
 
 9228 
 
 9273 
 
 9318 
 
 9363 
 
 9409 
 
 9454 
 
 9499 
 
 
 45 
 
 93 
 
 9544 
 
 9590 
 
 9635 
 
 9680 
 
 9726 
 
 9771 
 
 9816 
 
 9861 
 
 9907 
 
 9952 
 
 
 1 
 
 5 
 
 94 
 
 9997 
 
 0042 
 
 0088 
 
 0133 
 
 0178 
 
 0223 
 
 0269 
 
 0314 
 
 0359 
 
 0405 
 
 
 2 
 9 
 
 9 
 14 
 
 18- 
 
 95 
 
 9820450 
 
 .0495 
 
 0540 
 
 0586 
 
 0631 
 
 0676 
 
 0721 
 
 0767 
 
 0812 
 
 0857 
 
 
 4 
 
 96 
 
 0902 
 
 0948 
 
 0993 
 
 1038 
 
 1083 
 
 1129 
 
 1174 
 
 1219 
 
 1264- 
 
 1310 
 
 
 6 
 
 23 
 
 97 
 
 \'i55 
 
 1400 
 
 1445 
 
 1491 
 
 1536 
 
 1581 
 
 1626 
 
 1672 
 
 1717 
 
 1762 
 
 
 6 
 
 7 
 g 
 
 27 
 
 98 
 
 1807 
 
 1853 
 
 1898 
 
 1943 
 
 1988 
 
 2034 
 
 2079 
 
 2124 
 
 2169 
 
 2215 
 
 
 32 
 
 99 
 
 N. 
 
 2260 
 
 2305 
 
 r 
 
 2350 
 2 
 
 2396 
 3 
 
 2441 
 
 2486 
 
 253 1 
 
 2577 
 
 7 
 
 2622 
 8 
 
 2667 
 
 D 
 
 9 
 
 •JO 
 
 41 
 
 
 
 - 
 
 4 
 
 5 
 
 6 
 
 P 
 
 ts. 
 
 3 A 
 
(178) LOGARITHMS N. 960 L. 982 
 
 N. 
 
 9tiOO 
 
 
 
 1 
 
 27 5 S 
 
 2 
 2803 
 
 3 
 
 2848 
 
 4 
 
 5 
 
 2939 
 
 6 
 
 2984 
 
 7 1 8 
 
 9 
 
 3119 
 
 D 
 
 Pro. 
 
 9822712 
 
 2893 
 
 3029 
 
 3074 
 
 01 
 
 3165 
 
 3210 
 
 3255 
 
 3300 
 
 3346 
 
 3391 
 
 3436 
 
 3481 
 
 3527 
 
 3572 
 
 
 46 
 
 02 
 
 3617 
 
 3662 
 
 3707 
 
 3753 
 
 3798 
 
 3843 
 
 3888 
 
 3934 
 
 3979 
 
 4024 
 
 
 1 
 
 5 
 
 03 
 
 4069 
 
 4115 
 
 4160 
 
 4205 
 
 4250 
 
 4295 
 
 4341 
 
 4386 
 
 443 1 
 
 4476 
 
 
 2 
 3 
 4 
 
 9 
 14 
 
 18 
 
 04 
 
 4522 
 
 4567 
 
 4612 
 
 4657 
 
 4702 
 
 4748 
 
 4793 
 
 4838 
 
 4883 
 
 4928 
 
 
 05 
 
 4974 
 
 5019 
 
 5064 
 
 5109 
 
 5 1 55 
 
 5200 
 
 5245 
 
 5290 
 
 5335 
 
 5381 
 
 
 5 
 
 23 
 
 OG 
 
 5!-26 
 
 5471 
 
 5516 
 
 5561 
 
 5607 
 
 5652 
 
 5697 
 
 5742 
 
 5787 
 
 5833 
 
 
 6 
 
 7 
 8 
 
 28 
 32 
 37 
 
 07 
 
 5878 
 
 5923 
 
 5968 
 
 6014 
 
 6059 
 
 6104 
 
 6149 
 
 6194 
 
 6240 
 
 6285 
 
 
 08 
 
 6330 
 
 6375 
 
 6420 
 
 6466 
 
 6511 
 
 6556 
 
 6601 
 
 6646 
 
 6»92 
 
 6737 
 
 
 9 
 
 41 
 
 09 
 
 6782 
 
 6827 
 
 6872 
 
 6918 
 
 6963 
 
 7008 
 
 7053 
 
 7098 
 
 7143 
 
 7189 
 
 
 
 9610 
 
 7234 
 
 7279 
 
 7324 
 
 7369 
 
 7415 
 
 7460 
 
 7505 
 
 7550 
 
 7595 
 
 7641 
 
 
 
 11 
 
 7686 
 
 7731 
 
 7776 
 
 7821 
 
 7867 
 
 7^12 
 
 7957 
 
 8002 
 
 8047 
 
 8092 
 
 
 
 12 
 
 8138 
 
 8183 
 
 8228 
 
 8273 
 
 8318 
 
 8334 
 
 8409 
 
 8454 
 
 8499 
 
 8544 
 
 
 
 13 
 
 8589 
 
 8635 
 
 8680 
 
 8725 
 
 8770 
 
 8815 
 
 8860 
 
 8906 
 
 8951 
 
 8996 
 
 
 
 14 
 
 9041 
 
 9O80 
 
 9132 
 
 9177 
 
 9222 
 
 9267 
 
 9312 
 
 9357 
 
 9403 
 
 9448 
 
 
 
 15 
 
 9493 
 
 9538 
 
 9583 
 
 9628 
 
 9674 
 
 9719 
 
 9764 
 
 9809 
 
 9854 
 
 9899 
 
 
 
 16 
 
 9945 
 
 9990 
 
 0035 
 
 0080 
 
 0125 
 
 0170 
 
 0216 
 
 0261 
 
 0306 
 
 0351 
 
 
 17 
 
 9830396 
 
 0441 
 
 0486 
 
 0532 
 
 0577 
 
 l0622 
 
 0667 
 
 0712 
 
 0757 
 
 0803 
 
 
 
 18 
 
 0848 
 
 0893 
 
 0938 
 
 0983 
 
 1028 
 
 1073 
 
 1119 
 
 1164 
 
 1209 
 
 1254 
 
 
 
 19 
 
 1299 
 
 1344 
 
 1390 
 
 1435 
 
 1480 
 
 1525 
 
 1570 
 
 1615 
 
 1660 
 
 1706 
 
 
 
 9620 
 
 1751 
 
 1796 
 
 1841 
 
 1886 
 
 1931 
 
 1976 
 
 2022 
 
 2067 
 
 2112 
 
 2157 
 
 
 
 21 
 
 2202 
 
 2247 
 
 2292 
 
 2338 
 
 2383 
 
 2428 
 
 2473 
 
 2518 
 
 2563 
 
 2608 
 
 
 
 22 
 
 2654 
 
 2699 
 
 2744 
 
 2789 
 
 2834 
 
 2879 
 
 2924 
 
 2969 
 
 3015 
 
 3060 
 
 
 
 23 
 
 3105 
 
 3150 
 
 3195 
 
 3240 
 
 3285 
 
 3331 
 
 3376 
 
 3421 
 
 3466 
 
 3511 
 
 
 
 24 
 
 3556 
 
 3601 
 
 3646 
 
 3692 
 
 3737 
 
 3782 
 
 3827 
 
 3872 
 
 3917 
 
 3962 
 
 
 
 25 
 
 4007 
 
 4053 
 
 4098 
 
 4143 
 
 .4188 
 
 4233 
 
 4278 
 
 4323 
 
 4368 
 
 4413 
 
 
 
 26 
 
 4459 
 
 4504 
 
 4549 
 
 4594 
 
 4639 
 
 4684 
 
 4729 
 
 4774 
 
 4819 
 
 4865 
 
 
 
 27 
 
 4910 
 
 4955 
 
 5000 
 
 5045 
 
 5090 
 
 5135 
 
 5180 
 
 5225 
 
 5271 
 
 5316 
 
 
 
 28 
 
 5361 
 
 5406 
 
 5451 
 
 5496 
 
 5541 
 
 5586 
 
 5631 
 
 5677 
 
 5722 
 
 5767 
 
 
 
 29 
 
 5812 
 
 5857 
 
 5902 
 
 5947 
 
 5992 
 
 6037 
 
 6082 
 
 6128 
 
 6173 
 
 6218 
 
 
 
 9630 
 
 6263 
 
 6308 
 
 0353 
 
 6398 
 
 6443 
 
 6488 
 
 6533 
 
 6579 
 
 6624 
 
 6669 
 
 
 
 31 
 
 6714 
 
 6759 
 
 6804 
 
 6849 
 
 6894 
 
 6939 
 
 6984 
 
 7029 
 
 7075 
 
 7120 
 
 
 
 32 
 
 7165 
 
 7210 
 
 7255 
 
 7300 
 
 7345 
 
 7390 
 
 7435 
 
 7480 
 
 7525 
 
 7571 
 
 
 
 33 
 
 7616 
 
 7661 
 
 7706 
 
 7751 
 
 7796 
 
 7841 
 
 7886 
 
 7931 
 
 7976 
 
 8021 
 
 
 
 34 
 
 8066 
 
 8111 
 
 8157 
 
 8202 
 
 8247 
 
 8292 
 
 8337 
 
 8382 
 
 8427 
 
 8472 
 
 
 
 35 
 
 8517 
 
 8562 
 
 8607 
 
 8652 
 
 8697 
 
 8743 
 
 8788 
 
 8833 
 
 8878 
 
 8923 
 
 
 
 36 
 
 8968 
 
 9013 
 
 9058 
 
 9103 
 
 9148 
 
 9193 
 
 9238 
 
 9283 
 
 9328 
 
 9374 
 
 
 
 37 
 
 9419 
 
 9464 
 
 9509 
 
 9554 
 
 9599 
 
 9644 
 
 9689 
 
 9734 
 
 9779 
 
 9824 
 
 
 
 38 
 
 9869 
 
 9914 
 
 9959 
 
 0004 
 
 0049 
 
 0095 
 
 0140 
 
 0185 
 
 0230 
 
 0275 
 
 
 
 39 
 
 9840320 
 
 0365 
 
 0410 
 
 0455 
 
 0500 
 
 0545 
 
 0590 
 
 0635 
 
 0680 
 
 0725 
 
 
 
 9640 
 
 0770 
 
 0815 
 
 0860 
 
 0905 
 
 0951 
 
 0996 
 
 1041 
 
 1086 
 
 1131 
 
 1176 
 
 
 
 41 
 
 1221 
 
 1266 
 
 13ir 
 
 1356 
 
 1401 
 
 1446 
 
 1491 
 
 1536 
 
 1581 
 
 1626 
 
 
 
 42 
 
 1671 
 
 1716 
 
 1761 
 
 1S06 
 
 1851 
 
 1896 
 
 1942 
 
 1987 
 
 2032 
 
 2077 
 
 
 45 
 
 43 
 
 2122 
 
 2167 
 
 2212 
 
 2257 
 
 2302 
 
 2347 
 
 2392 
 
 2437 
 
 2482 
 
 2527 
 
 
 1 
 
 5 
 
 44 
 
 2572 
 
 2617 
 
 2662 
 
 2707 
 
 2752 
 
 2797 
 
 2842 
 
 2887 
 
 2932 
 
 2977 
 
 
 2 
 3 
 
 9 
 
 14 
 
 45 
 
 3022 
 
 3067 
 
 3112 
 
 3157 
 
 3202 
 
 3247 
 
 3292 
 
 3338 
 
 3383 
 
 3428 
 
 
 4 
 
 18 
 
 46 
 
 3473 
 
 3518 
 
 3563 
 
 3608 
 
 3653 
 
 3698 
 
 3743 
 
 3788 
 
 3833 
 
 3878 
 
 
 6 
 6 
 7 
 
 23 
 
 27 
 V2 
 
 47 
 
 3923 
 
 3968 
 
 4013 
 
 4058 
 
 4103 
 
 4148 
 
 4193 
 
 4238 
 
 4283 
 
 4328 
 
 
 48 
 
 4373 
 
 4418 
 
 4463 
 
 4508 
 
 4553 
 
 4598 
 
 4643 
 
 4688 
 
 4733 
 
 4778 
 
 
 8 
 
 3G 
 
 49 
 N. 
 
 4823 
 
 4868 
 
 4913 
 
 4958 
 
 3 
 
 5003 
 
 4 
 
 5048 
 
 5 
 
 5093 
 
 6 
 
 5138 
 
 7 
 
 5183 
 8 
 
 52-28 
 
 .9 
 
 D 
 
 9 
 
 41 
 
 
 
 1 
 
 2 
 
 Pi 
 
 ts. 
 
[N.965 L.984 OF NUMBERS. (179) 
 
 N, 
 
 9650 
 
 
 
 1 
 
 5318 
 
 2 
 5363 
 
 3 
 
 5408 
 
 4 
 
 5453 
 
 5 
 
 5498 
 
 6 
 
 5543 
 
 7 
 
 5588 
 
 8 
 
 5633 
 
 9 
 
 5678 
 
 D 
 
 Fro. 
 
 9845273 
 
 51 
 
 5723 
 
 5768 
 
 5813 
 
 5858 
 
 5903 
 
 5948 
 
 5993 
 
 6038 
 
 6083 
 
 6128 
 
 4-5 
 
 45 
 
 52 
 
 6173 
 
 6218 
 
 6263 
 
 6308 
 
 6353 
 
 6398 
 
 6443 
 
 6488 
 
 6533 
 
 0578 
 
 
 ] 5 
 
 53 
 
 6623 
 
 6668 
 
 6713 
 
 6758 
 
 6803 
 
 6848 
 
 6893 
 
 6938 
 
 0983 
 
 7028 
 
 
 2 9 
 
 3 14 
 
 4 18 
 
 54 
 
 7073 
 
 7118 
 
 7163 
 
 7208 
 
 7253 
 
 7298 
 
 7343 
 
 7388 
 
 7433 
 
 7478 
 
 
 55 
 
 7523 
 
 7568 
 
 7613 
 
 7658 
 
 7703 
 
 7748 
 
 7793 
 
 7838 
 
 7883 
 
 7928 
 
 
 5 23 
 
 56 
 
 7973 
 
 8018 
 
 8063 
 
 8107 
 
 8152 
 
 8197 
 
 8242 
 
 8287 
 
 83S2 
 
 8377 
 
 
 6 27 
 
 7 32 
 
 8 36 
 
 57 
 
 8422 
 
 8467 
 
 8512 
 
 8557 
 
 8602 
 
 8647 
 
 8092 
 
 8737 
 
 8782 
 
 8327 
 
 
 58 
 
 8872 
 
 8917 
 
 8962 
 
 9007 
 
 9052 
 
 9097 
 
 9142 
 
 9187 
 
 9232 
 
 9277 
 
 
 941 
 
 59 
 
 9322 
 
 9367 
 
 9412 
 
 9457 
 
 9502 
 
 9546 
 
 9591 
 
 9630 
 
 9681 
 
 9726 
 
 
 
 9660 
 
 9771 
 
 9816 
 
 9861 
 
 9906 
 
 9951 
 
 9996 
 
 0041 
 
 0086 
 
 0131 
 
 0175 
 
 
 
 61 
 
 9850221 
 
 0266 
 
 0311 
 
 0356 
 
 0401 
 
 0440 
 
 0491 
 
 0535 
 
 0580 
 
 0625 
 
 
 
 62 
 
 0670 
 
 0715 
 
 0760 
 
 0805 
 
 0850 
 
 0895 
 
 0940 
 
 0985 
 
 1030 
 
 1075 
 
 
 
 63 
 
 1120 
 
 1165 
 
 1210 
 
 1255 
 
 1 300 
 
 1345 
 
 1389 
 
 1434 
 
 1479 
 
 1524 
 
 
 
 64 
 
 1569 
 
 1614 
 
 1659 
 
 1704 
 
 1749 
 
 1794 
 
 1839 
 
 1884 
 
 1929 
 
 1974 
 
 
 
 65 
 
 2019 
 
 2064 
 
 2108 
 
 2153 
 
 2198 
 
 2213 
 
 2288 
 
 2333 
 
 2378 
 
 2423 
 
 
 
 66 
 
 2468 
 
 2513 
 
 2558 
 
 2603 
 
 2648 
 
 2693 
 
 2737 
 
 2782 
 
 2827 
 
 2872 
 
 
 
 67 
 
 2917 
 
 2962 
 
 3007 
 
 3052 
 
 3097 
 
 3142 
 
 3187 
 
 3232 
 
 3277 
 
 3321 
 
 
 
 68 
 
 3366 
 
 3411 
 
 3456 
 
 3501 
 
 3546 
 
 3591 
 
 3636 
 
 3681 
 
 3720 
 
 3771 
 
 
 
 69 
 
 3816 
 
 3861 
 
 3905 
 
 3950 
 
 3995 
 
 4040 
 
 4085 
 
 4130 
 
 4175 
 
 4220 
 
 
 
 9670 
 
 4265 
 
 4310 
 
 4355 
 
 4399 
 
 4444 
 
 4489 
 
 4534 
 
 4579 
 
 4624 
 
 4669 
 
 
 
 71 
 
 4714 
 
 4759 
 
 4804 
 
 4849 
 
 4893 
 
 4938 
 
 4983 
 
 5028 
 
 5073 
 
 5118 
 
 
 
 72 
 
 5163 
 
 5208 
 
 5253 
 
 5298 
 
 5342 
 
 5387 
 
 54:^2 
 
 5477 
 
 5522 
 
 5567 
 
 
 
 73 
 
 5612 
 
 5657 
 
 5702 
 
 5747 
 
 5791 
 
 5836 
 
 5881 
 
 5926 
 
 5971 
 
 6016 
 
 
 
 74 
 
 6061 
 
 6106 
 
 6151 
 
 6196 
 
 6240 
 
 6285 
 
 6330 
 
 6375 
 
 6420 
 
 6465 
 
 
 
 75 
 
 6510 
 
 6555 
 
 6600 
 
 6644 
 
 6689 
 
 6734 
 
 6779 
 
 6824 
 
 6869 
 
 6914 
 
 
 
 76 
 
 6959 
 
 7003 
 
 7048 
 
 7093 
 
 7138 
 
 7183 
 
 7228 
 
 7273 
 
 7318 
 
 7363 
 
 
 
 77 
 
 7407 
 
 7452 
 
 7497 
 
 7542 
 
 7587 
 
 7632 
 
 7677 
 
 7722 
 
 7760 
 
 7811 
 
 
 
 78 
 
 7856 
 
 '7901 
 
 7946 
 
 7991 
 
 8036 
 
 8081 
 
 8125 
 
 8170 
 
 8215 
 
 8260 
 
 
 
 79 
 
 8305 
 
 8350 
 
 8395 
 
 8440 
 
 8484 
 
 8529 
 
 8574 
 
 8619 
 
 8664 
 
 8709 
 
 
 
 9680 
 
 8754 
 
 8798 
 
 8843 
 
 8888 
 
 8933 
 
 8978 
 
 9023 
 
 9068 
 
 9112 
 
 9157 
 
 
 
 81 
 
 9202 
 
 9247 
 
 9292 
 
 9337 
 
 9382 
 
 9426 
 
 9471 
 
 9516 
 
 9561 
 
 9606 
 
 
 
 82 
 
 9651 
 
 9696 
 
 9740 
 
 9785 
 
 9830 
 
 9875 
 
 9920 
 
 9965 
 
 0010 
 
 0054 
 
 
 
 83 
 
 9860099 
 
 0144 
 
 0189 
 
 0234 
 
 0279 
 
 0324 
 
 0368 
 
 0113 
 
 0458 
 
 0503 
 
 
 
 84 
 
 0548 
 
 0593 
 
 0637 
 
 0682 
 
 0727 
 
 0772 
 
 0817 
 
 0862 
 
 0907 
 
 0951 
 
 
 
 85 
 
 0996 
 
 1041 
 
 1086 
 
 1131 
 
 1176 
 
 1220 
 
 1265 
 
 1310 
 
 1355 
 
 1400 
 
 
 
 86 
 
 1445 
 
 1489 
 
 1534 
 
 1579 
 
 1624 
 
 1669 
 
 1714 
 
 1758 
 
 1803 
 
 1848 
 
 
 
 87 
 
 1893 
 
 1938 
 
 1983 
 
 2027 
 
 2072 
 
 21 17 
 
 2162 
 
 2207 
 
 2252 
 
 2296 
 
 
 
 88 
 
 2341 
 
 23 86 
 
 2431 
 
 2476 
 
 2521 
 
 (^565 
 
 2610 
 
 2055 
 
 2700 
 
 2745 
 
 
 
 89 
 
 2790 
 
 2834 
 
 2879 
 
 2924 
 
 2969 
 
 3014 
 
 3058 
 
 3103 
 
 3148 
 
 3193 
 
 
 
 9690 
 
 3238 
 
 3283 
 
 3327 
 
 3372 
 
 3417 
 
 3462 
 
 3507 
 
 3551 
 
 3596 
 
 3641 
 
 
 
 91 
 
 3686 
 
 3731 
 
 3776 
 
 3820 
 
 3865 
 
 3910 
 
 3955 
 
 4000 
 
 4044 
 
 4039 
 
 
 
 92 
 
 4134 
 
 4179 
 
 4224 
 
 4268 
 
 4313 
 
 4358 
 
 4403 
 
 4448 
 
 4493 
 
 4537 
 
 
 44 
 
 93 
 
 4582 
 
 4627 
 
 4672 
 
 4717 
 
 4761 
 
 4806 
 
 4851 
 
 4896 
 
 4941 
 
 4985 
 
 
 I 4 : 
 
 94 
 
 5030 
 
 5075 
 
 5120 
 
 5165 
 
 5209 
 
 5254 
 
 5299 
 
 5344 
 
 5389 
 
 5433 
 
 
 2 9 1 
 
 95 
 
 5478 
 
 5523 
 
 5568 
 
 5613 
 
 5657 
 
 5702 
 
 5747 
 
 5792 
 
 5836 
 
 5881 
 
 
 4 18 
 
 96 
 
 5926 
 
 5971 
 
 6016 
 
 6060 
 
 6105 
 
 6150 
 
 6195 
 
 6240 
 
 6284 
 
 6329 
 
 
 5 22 > 
 
 97 
 
 6374 
 
 6419 
 
 6464 
 
 6508 
 
 6553 
 
 0598 
 
 6643 
 
 6087 
 
 6732 
 
 6777 
 
 
 6 2G 
 
 98 
 
 6822 
 
 6867 
 
 6911 
 
 6956 
 
 7001 
 
 7046 
 
 7090 
 
 7135 
 
 7180 
 
 7225 
 
 
 7 31 
 H 35 
 
 99 
 
 N. 
 
 7270 
 
 7314 
 1 
 
 7359 
 ^2 
 
 7404 
 3 
 
 7449 
 
 4 
 
 7493 
 
 5 
 
 7538 
 
 6 
 
 7583 
 
 7 
 
 7628 
 
 8 
 
 7673 
 
 .9 1 
 
 D 
 
 9 40 
 
 
 
 4. L:-. 
 
 3 A2 
 

 (180) LOGARITHMS N.970L.986 
 
 
 N. 
 
 
 
 1 
 
 3 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 1) 
 
 Pro. 
 
 
 970C 
 
 9867717 
 
 7762 
 
 7807 
 
 7852 
 
 7896 
 
 794I 
 
 7986 
 
 8031 
 
 8076 
 
 8120 
 
 
 
 
 01 
 
 8165 
 
 8210 
 
 8255 
 
 8299 
 
 8344 
 
 8389 
 
 8434 
 
 8478 
 
 8523 
 
 8568 
 
 
 45 
 
 
 02 
 
 8613 
 
 8657 
 
 8702 
 
 8747 
 
 8792 
 
 8837 
 
 8881 
 
 8926 
 
 3971 
 
 9016 
 
 
 \ I 
 
 
 03 
 
 9060 
 
 9105 
 
 9150 
 
 9195 
 
 9239 
 
 9284 
 
 9329 
 
 9374 
 
 9418 
 
 9463 
 
 
 2 9 
 
 3 14 
 
 4 18 
 
 
 04 
 
 9508 
 
 9553 
 
 9597 
 
 9642 
 
 9687 
 
 9732 
 
 9776 
 
 9821 
 
 9866 
 
 9911 
 
 
 
 05 
 
 9955 
 
 0000 
 
 0045 
 
 0090 
 
 0134 
 
 0179 
 
 0224 
 
 0269 
 
 0313 
 
 0358 
 
 
 5 23 
 
 
 00 
 
 9870403 
 
 0448 
 
 0492 
 
 0537 
 
 0582 
 
 0627 
 
 0671 
 
 0716 
 
 0761 
 
 0806 
 
 
 6 27 
 
 7 32 
 
 8 36 
 
 
 07 
 
 0850 
 
 0895 
 
 0940 
 
 0985 
 
 1029 
 
 1074 
 
 1119 
 
 1163 
 
 1208 
 
 1253 
 
 
 
 08 
 
 1298 
 
 1342 
 
 1387 
 
 1432 
 
 1477 
 
 1521 
 
 1566 
 
 1611 
 
 1656 
 
 1700 
 
 
 9 41 
 
 
 09 
 
 1745 
 
 1790 
 
 1 834 
 
 1879 
 
 1924 
 
 1969 
 
 2013 
 
 2058 
 
 2103 
 
 2148 
 
 
 
 
 9710 
 
 2192 
 
 2237 
 
 2282 
 
 2326 
 
 237 1 
 
 2416 
 
 2461 
 
 2505 
 
 2550 
 
 2595 
 
 
 
 
 11 
 
 2610 
 
 2684 
 
 2729 
 
 2774 
 
 2818 
 
 2863 
 
 2908 
 
 2953 
 
 2997 
 
 3042 
 
 
 
 
 12 
 
 3087 
 
 3131 
 
 3176 
 
 3221 
 
 3266 
 
 3310 
 
 3355 
 
 3400 
 
 3444 
 
 3489 
 
 
 
 
 13 
 
 3534 
 
 3579 
 
 3623 
 
 3668 
 
 3713 
 
 3757 
 
 3802 
 
 3847 
 
 3892 
 
 3936 
 
 
 
 
 14 
 
 3981 
 
 4026 
 
 4070 
 
 4115 
 
 4160 
 
 4205 
 
 4249 
 
 4294 
 
 4339 
 
 4383- 
 
 
 
 
 15 
 
 4428 
 
 4473 
 
 4517 
 
 4562 
 
 4607 
 
 4652 
 
 4696 
 
 4741 
 
 4786 
 
 4830 
 
 
 
 
 16 
 
 4875 
 
 4920 
 
 4964 
 
 5009 
 
 5054 
 
 5099 
 
 5143 
 
 5188 
 
 5233 
 
 5277 
 
 
 
 ^ 
 
 17 
 
 5322 
 
 5367 
 
 5411 
 
 5456 
 
 5501 
 
 5545 
 
 5590 
 
 5635 
 
 5680 
 
 5724 
 
 
 
 
 18 
 
 5769 
 
 58 1 4 
 
 5858 
 
 5903 
 
 5948 
 
 5992 
 
 6037 
 
 6082 
 
 6126 
 
 6171 
 
 
 
 
 19 
 
 6216 
 
 6261 
 
 6305 
 
 6350 
 
 6395 
 
 6439 
 
 6484 
 
 6529 
 
 6573 
 
 6618 
 
 
 
 
 9720 
 
 6663 
 
 6707 
 
 6752 
 
 6797 
 
 6841 
 
 6886 
 
 6931 
 
 6975 
 
 7020 
 
 7065 
 
 
 
 
 21 
 
 7109 
 
 7154 
 
 7199 
 
 7243 
 
 7288 
 
 7333 
 
 7377 
 
 7422 
 
 7467 
 
 7511 
 
 
 
 
 22 
 
 7556 
 
 7601 
 
 7646 
 
 7690 
 
 7735 
 
 7780 
 
 7824 
 
 7869 
 
 7914 
 
 7958 
 
 
 
 
 23 
 
 8003 
 
 8048 
 
 8092 
 
 8137 
 
 8182 
 
 8226 
 
 8271 
 
 8316 
 
 8360 
 
 8405 
 
 
 
 
 24 
 
 8450 
 
 8494 
 
 8539 
 
 8583 
 
 8628 
 
 8673 
 
 8717 
 
 8762 
 
 8807 
 
 8851 
 
 
 
 
 25 
 
 8896 
 
 8941 
 
 8985 
 
 9030 
 
 9075 
 
 9119 
 
 9164 
 
 9209 
 
 9253 
 
 9298 
 
 
 
 
 26 
 
 9343 
 
 9387 
 
 9432 
 
 9477 
 
 9521 
 
 9666 
 
 9611 
 
 9655 
 
 9700 
 
 9745 
 
 
 
 
 27 
 
 9789 
 
 9834 
 
 9878 
 
 9923 
 
 9968 
 
 0012 
 
 0057 
 
 0102 
 
 0146 
 
 0191 
 
 
 
 
 28 
 
 9880236 
 
 0280 
 
 0325 
 
 0370 
 
 0414 
 
 0459 
 
 0503 
 
 0548 
 
 0593 
 
 0637 
 
 
 
 
 29 
 
 0682 
 
 0727 
 
 0771 
 
 0816 
 
 0861 
 
 0905 
 
 0950 
 
 0994 
 
 1035 
 
 1084 
 
 
 
 
 9730 
 
 1128 
 
 1173 
 
 1218 
 
 1262 
 
 1307 
 
 1352 
 
 1396 
 
 1441 
 
 1485 
 
 1530 
 
 
 
 
 31 
 
 1575 
 
 1619 
 
 1664 
 
 1709 
 
 1753 
 
 1798 
 
 1842 
 
 1887 
 
 1932 
 
 1976 
 
 
 
 
 32 
 
 2021 
 
 2066 
 
 2110 
 
 2155 
 
 2200 
 
 2244 
 
 2289 
 
 2333 
 
 2378 
 
 2423 
 
 
 
 
 SS 
 
 2467 
 
 2512 
 
 2556 
 
 2601 
 
 2646 
 
 2690 
 
 2735 
 
 2780 
 
 2824 
 
 2869 
 
 
 
 
 34 
 
 2913 
 
 2958 
 
 3003 
 
 3047 
 
 3092 
 
 3136 
 
 3181 
 
 3226 
 
 3270 
 
 3315 
 
 
 
 
 ^5 
 
 3360 
 
 3404 
 
 3449 
 
 3493 
 
 3538 
 
 3583 
 
 3627 
 
 3672 
 
 3716 
 
 3761 
 
 
 
 
 5Q 
 
 3806 
 
 3850 
 
 3895 
 
 3939 
 
 3984 
 
 4029 
 
 4073 
 
 4118 
 
 4162 
 
 4207 
 
 
 
 
 37 
 
 4252 
 
 4296 
 
 4341 
 
 4386 
 
 4430 
 
 4475 
 
 4519 
 
 4564 
 
 4609 
 
 4653 
 
 
 i 
 
 
 38 
 
 4698 
 
 4742 
 
 4787 
 
 4831 
 
 4876 
 
 4921 
 
 4965 
 
 5010 
 
 5054 
 
 5099 
 
 
 
 
 39 
 
 5144 
 
 5188 
 
 5233 
 
 5277 
 
 5322 
 
 5367 
 
 5411 
 
 5456 
 
 5500 
 
 5545 
 
 
 
 
 9740 
 
 5590 
 
 5634 
 
 5679 
 
 5723 
 
 5768 
 
 5813 
 
 5857 
 
 5902 
 
 5946 
 
 5991 
 
 
 
 
 41 
 
 6035 
 
 6080 
 
 6125 
 
 6169 
 
 6214 
 
 6258 
 
 6303 
 
 6348 
 
 6392 
 
 6437 
 
 
 
 
 42 
 
 6481 
 
 6526 
 
 6570 
 
 6615 
 
 6660 
 
 6704 
 
 6749 
 
 6793 
 
 6838 
 
 6882 
 
 
 44 
 
 
 43 
 
 6927 
 
 6972 
 
 7016 
 
 7061 
 
 7105 
 
 7150 
 
 7 1 94 
 
 7239 
 
 7284 
 
 7328 
 
 
 1 4 
 
 
 44 
 
 7373 
 
 7417 
 
 7462 
 
 7506 
 
 7551 
 
 7596 
 
 7640 
 
 7685 
 
 7729 
 
 7774 
 
 
 2 9 
 
 
 45 
 
 7818 
 
 7863 
 
 7908 
 
 7952 
 
 7997 
 
 8041 
 
 8086 
 
 8130 
 
 8175 
 
 8220 
 
 
 10 
 4 18 
 
 
 4(3 
 
 8264 
 
 8309 
 
 8353 
 
 8398 
 
 8442 
 
 8487 
 
 8531 
 
 8576 
 
 8621 
 
 8665 
 
 
 5 22 
 
 
 47 
 
 8710 
 
 8754 
 
 8799 
 
 8843 
 
 8888 
 
 8932 
 
 8977 
 
 9022 
 
 9066 
 
 9111 
 
 
 6 26 
 731 
 835 
 
 
 48 
 
 9155 
 
 9200 
 
 9244 
 
 9289 
 
 9333 
 
 9378 
 
 9423 
 
 9467 
 
 9512 
 
 9556 
 
 
 
 49 
 
 9601 
 
 9645 
 
 9690 
 
 9734 
 
 9779 
 
 9,S23 
 
 9868 
 
 9913 
 
 9957 
 
 5002 
 
 
 9 40 
 
 
 N. 
 
 » 1 1 
 
 2 
 
 3 
 
 4 1 
 
 5 
 
 6' 
 
 7 
 
 8 U 1 
 
 D 
 
 Pts. 
 
IN.975 L:989 
 
 
 OF NUMBERS. 
 
 
 
 
 (181)1 
 
 N. 
 
 9750 
 
 
 
 1 
 
 00 ;j 1 
 
 2 
 0135 
 
 0180 
 
 4 
 
 0224 
 
 5 
 
 0269 
 
 6" 
 
 0313 
 
 7 
 
 0358 
 
 8 
 
 0402 
 
 9 
 
 0447 
 
 D 
 
 Pro. 
 
 9890O4r) 
 
 51 
 
 0492 
 
 0536 
 
 0581 
 
 0625 
 
 0670 
 
 0714 
 
 0759 
 
 0803 
 
 0848 
 
 0892 
 
 
 45 
 
 52 
 
 0937 
 
 0981 
 
 1026 
 
 1071 
 
 1115 
 
 1160 
 
 1204 
 
 1249 
 
 1293 
 
 1338 
 
 
 1 
 
 5 
 
 53 
 
 1382 
 
 1427 
 
 1471 
 
 1516 
 
 1560 
 
 1605 
 
 1649 
 
 1694 
 
 1738 
 
 1783 
 
 
 2 
 
 9 
 
 54 
 
 '1828 
 
 1872 
 
 1917 
 
 1961 
 
 2006 
 
 2050 
 
 2095 
 
 2139 
 
 2184 
 
 2228 
 
 
 3 
 4 
 
 14 
 
 - 55 
 
 2273 
 
 2317 
 
 2362 
 
 2406 
 
 2451 
 
 2495 
 
 2540 
 
 2584 
 
 2629 
 
 2673 
 
 
 5 
 
 28 
 
 i 56 
 
 2718 
 
 2762 
 
 2807 
 
 2851 
 
 2896 
 
 2940 
 
 2985 
 
 3030 
 
 3074 
 
 3119 
 
 
 6 
 
 27 
 
 57 
 
 3163 
 
 3208 
 
 3252 
 
 3297 
 
 3341 
 
 3386 
 
 3430 
 
 3475 
 
 3519 
 
 3564 
 
 
 7 
 8 
 9 
 
 32 
 36 
 ^1 
 
 58 
 
 3608 
 
 3653 
 
 3697 
 
 3742 
 
 3786 
 
 3831 
 
 5875 
 
 3920 
 
 3964 
 
 4009 
 
 
 59 
 
 4053 
 
 4098 
 
 4142 
 
 4187 
 
 4231 
 
 4276 
 
 4320 
 
 4365 
 
 4409 
 
 4454 
 
 
 
 9760 
 
 4498 
 
 4543 
 
 4587 
 
 4632 
 
 4676 
 
 4721 
 
 4765 
 
 4810 
 
 4854 
 
 4899 
 
 
 
 61 
 
 4943 
 
 4988 
 
 5032 
 
 5077 
 
 5121 
 
 5166 
 
 5210 
 
 5255 
 
 5299 
 
 5344 
 
 
 
 62 
 
 5388 
 
 5433 
 
 5477 
 
 5521 
 
 5566 
 
 5610 
 
 5655 
 
 5699 
 
 5744 
 
 5788 
 
 
 
 63 
 
 5833 
 
 5877 
 
 5922 
 
 5966 
 
 6011 
 
 6055 
 
 6100 
 
 6144 
 
 6189 
 
 6233 
 
 
 
 64 
 
 6278 
 
 6322 
 
 6367 
 
 6411 
 
 6456 
 
 6500 
 
 6545 
 
 6589 
 
 6634 
 
 6678 
 
 
 
 65 
 
 6722 
 
 6767 
 
 6811 
 
 6856 
 
 6900 
 
 6945 
 
 6989 
 
 7034 
 
 7078 
 
 7123 
 
 
 
 66 
 
 7167 
 
 7212 
 
 7256 
 
 7301 
 
 7345 
 
 7390 
 
 7434 
 
 7478 
 
 7523 
 
 7567 
 
 
 
 67 
 
 7612 
 
 7656 
 
 7701 
 
 7745 
 
 7790 
 
 7834 
 
 7879 
 
 7923 
 
 7968 
 
 8012 
 
 
 
 68 
 
 8057 
 
 8101 
 
 8145 
 
 8190 
 
 8234 
 
 8279 
 
 8323 
 
 8368 
 
 8412 
 
 8457 
 
 
 
 69 
 
 8501 
 
 8546 
 
 8590 
 
 8634 
 
 8679 
 
 8723 
 
 8768 
 
 8812 
 
 8857 
 
 8901 
 
 
 
 9770 
 
 8946 
 
 8990 
 
 9035 
 
 9079 
 
 9123 
 
 9168 
 
 9212 
 
 9257 
 
 9301 
 
 9346 
 
 
 
 71 
 
 9390 
 
 9435 
 
 9479 
 
 9523 
 
 9568 
 
 9612 
 
 9657 
 
 9701 
 
 9746 
 
 9790 
 
 
 
 72 
 
 9835 
 
 9879 
 
 9923 
 
 9968 
 
 0012 
 
 0057 
 
 0101 
 
 0146 
 
 0190 
 
 0235 
 
 
 
 7.S 
 
 9900279 
 
 0323 
 
 0368 
 
 0412 
 
 0457 
 
 0501 
 
 0546 
 
 0590 
 
 0634 
 
 0679 
 
 
 
 74 
 
 0723 
 
 0768 
 
 0812 
 
 0857 
 
 0901 
 
 0946 
 
 0990 
 
 1034 
 
 1079 
 
 1123 
 
 
 
 75 
 
 1168 
 
 1212 
 
 1257 
 
 1301 
 
 1 345 
 
 1390 
 
 1434 
 
 1479 
 
 1523 
 
 1568 
 
 
 
 76 
 
 1612 
 
 1656 
 
 1701 
 
 1745 
 
 1790 
 
 1834 
 
 1878 
 
 1923 
 
 1967 
 
 2012 
 
 
 
 77 
 
 2056 
 
 2101 
 
 2145 
 
 2189 
 
 2234 
 
 2278 
 
 2323 
 
 2367 
 
 2411 
 
 2456 
 
 
 
 78 
 
 2500 
 
 2545 
 
 2589 
 
 2634 
 
 2678 
 
 2722 
 
 2767 
 
 2811 
 
 2856 
 
 2900 
 
 
 
 79 
 
 2944 
 
 2989 
 
 3033 
 
 3078 
 
 3122 
 
 3167 
 
 3211 
 
 3255 
 
 3300 3344 
 
 
 
 9780 
 
 3389 
 
 3433 
 
 3477 
 
 3522 
 
 3566 
 
 3611 
 
 3655 
 
 3699 
 
 3744 
 
 3788 
 
 
 
 81 
 
 3833 
 
 3877 
 
 3921 
 
 3966 
 
 4010 
 
 4055 
 
 4099 
 
 4143 
 
 4188 
 
 4232 
 
 
 
 82 
 
 4277 
 
 4321 
 
 43b5 
 
 4410 
 
 4454 
 
 4499 
 
 4543 
 
 4587 
 
 4632 
 
 4676 
 
 
 
 83 
 
 4721 
 
 4765 
 
 4809 
 
 4854 
 
 4898 
 
 4942 
 
 4987 
 
 5031 
 
 5076 
 
 5120 
 
 
 
 84 
 
 5164 
 
 5209 
 
 5253 
 
 5298 
 
 5342 
 
 5386 
 
 5431 
 
 5475 
 
 5520 
 
 5564 
 
 
 
 85 
 
 5608 
 
 5653 
 
 5697 
 
 5741 
 
 5786 
 
 5830 
 
 5875 
 
 5919 
 
 5963 
 
 6008 
 
 
 
 86 
 
 6052 
 
 6096 
 
 6141 
 
 6185 
 
 6230 
 
 6274 
 
 6318 
 
 6363 
 
 6407 
 
 6452 
 
 
 
 87 
 
 6496 
 
 6540 
 
 6585 
 
 6629 
 
 6673 
 
 6718 
 
 6762 
 
 6806 
 
 6851 
 
 6895 
 
 
 
 88 
 
 6940 
 
 6984 
 
 7028 
 
 7073 
 
 7ll7 
 
 7161 
 
 7206 
 
 7250 
 
 7295 
 
 7339 
 
 
 
 89 
 
 ?383 
 
 7428 
 
 7472 
 
 7516 
 
 7561 
 
 7605 
 
 7649 
 
 7694 
 
 7738 
 
 7783 
 
 
 
 9790 
 
 7827 
 
 7871 
 
 7916 
 
 7960 
 
 8004 
 
 8049 
 
 8093 
 
 8137 
 
 8182 
 
 8226 
 
 
 
 91 
 
 8271 
 
 8315 
 
 8359 
 
 8404 
 
 8448 
 
 8492 
 
 8537 
 
 8581 
 
 8625 
 
 8670 
 
 
 
 92 
 
 8714 
 
 8758 
 
 8803 
 
 8847 
 
 8891 
 
 §936 
 
 8980 
 
 9025 
 
 9069 
 
 9113 
 
 
 44 
 
 93 
 
 9158 
 
 9202 
 
 9246 
 
 9291 
 
 9335 
 
 9379 
 
 9424 
 
 9468 
 
 9512 
 
 9557 
 
 
 1 
 
 4 
 
 94 
 
 9601 
 
 9645 
 
 9690 
 
 9734 
 
 9778 
 
 9823 
 
 9867 
 
 9911 
 
 9956 
 
 0000 
 
 
 2 
 3 
 
 9 
 13 
 
 95 
 
 9910044 
 
 0089 
 
 0133 
 
 0177 
 
 0222 
 
 0266 
 
 0310 
 
 0355 
 
 0399 
 
 0443 
 
 
 4 
 
 18 
 
 96 
 
 0488 
 
 0532 
 
 0576 
 
 0621 
 
 0665 
 
 |0709 
 
 0754 
 
 0798 
 
 0842 
 
 0887 
 
 
 5 
 
 22 
 
 97 
 
 0931 
 
 0975 
 
 1020 
 
 1064 
 
 1108 
 
 1153 
 
 1197 
 
 1241 
 
 1286 
 
 1330 
 
 
 6 
 
 7 
 g 
 
 26 
 31 
 35 
 
 98 
 
 1374 
 
 1419 
 
 1463 
 
 1507 
 
 1552 
 
 1596 
 
 1640 
 
 1685 
 
 1729 
 
 1773 
 
 
 99 
 
 1818 
 
 1862 
 
 1906 
 
 1951 
 
 1995 
 
 2039 
 
 2083 
 
 2128 
 
 2172 
 
 2216 
 
 
 9 
 
 40 
 
 N. 
 
 
 
 1 
 
 2 . 
 
 ~3~ 
 
 IT 
 
 5 
 
 — r— 
 
 ~6~ 
 
 7 
 
 IT 
 
 T9~ 
 
 d! pts. 
 
(182) LOGARl'/HMS N.^BO L.^CJlf 
 
 N. 
 
 9800 
 
 
 
 1 
 
 2305 
 
 2 
 
 2349 
 
 3 
 
 2394 
 
 4 
 
 2458 
 
 5 
 
 2482 
 
 6 
 
 2527 
 
 7 
 
 2571 
 
 8 
 
 2615 
 
 9 
 
 2660 
 
 D 
 
 Pro. 
 
 9912261 
 
 01 
 
 2704 
 
 2748 
 
 2793 
 
 2837 
 
 2881 
 
 2925 
 
 2970 
 
 3014 
 
 3058 
 
 3103 
 
 
 45 
 
 02 
 
 3147 
 
 3191 
 
 3236 
 
 3280 
 
 3324 
 
 3369 
 
 3413 
 
 3457 
 
 3501 
 
 3546 
 
 
 1 5 
 
 03 
 
 3590 
 
 3634 
 
 3679 
 
 3723 
 
 3767 
 
 3812 
 
 3856 
 
 3900 
 
 3944 
 
 3989 
 
 
 2 9 
 
 3 14 
 
 04 
 
 4033 
 
 4077 
 
 4122 
 
 4166 
 
 4210 
 
 4255 
 
 4299 
 
 4343 
 
 4387 
 
 4432 
 
 
 4 18 
 
 05 
 
 4476 
 
 4520 
 
 4565 
 
 4609 
 
 4653 
 
 4697 
 
 4742 
 
 4786 
 
 4830 
 
 4875 
 
 
 5 23 
 
 6 27 
 
 7 32 
 
 06 
 
 4919 
 
 4963 
 
 5007 
 
 5052 
 
 5096 
 
 5140 
 
 5185 
 
 5229 
 
 5273 
 
 5317 
 
 
 07 
 
 5362 
 
 5406 
 
 5450 
 
 5495 
 
 5539 
 
 5583 
 
 5627 
 
 5672 
 
 5716 
 
 5760 
 
 
 8 36 
 
 08 
 
 5805 
 
 5849 
 
 5893 
 
 5937 
 
 5982 
 
 6026 
 
 6070 
 
 6115 
 
 6159 
 
 6203 
 
 
 941 
 
 09 
 
 6247 
 
 6292 
 
 6336 
 
 6380 
 
 6424 
 
 6469 
 
 6513 
 
 6557 
 
 6602 
 
 6646 
 
 
 
 9810 
 
 6690 
 
 6734 
 
 6779 
 
 6823 
 
 6867 
 
 69il 
 
 6956 
 
 7000 
 
 7044 
 
 7088 
 
 
 
 11 
 
 7133 
 
 7177 
 
 7221 
 
 7266 
 
 7310 
 
 7354 
 
 7398 
 
 7443 
 
 7487 
 
 7531 
 
 
 
 12 
 
 7575 
 
 7620 
 
 7664 
 
 7708 
 
 7752 
 
 7797 
 
 7841 
 
 7885 
 
 7929 
 
 7974 
 
 
 
 13 
 
 8018 
 
 8062 
 
 8107 
 
 8151 
 
 8195 
 
 8239 
 
 8284 
 
 8328 
 
 8372 
 
 8416 
 
 
 
 14 
 
 8461 
 
 8505 
 
 8549 
 
 8593 
 
 8638 
 
 8682 
 
 8726 
 
 8770 
 
 8815 
 
 8859 
 
 
 
 15 
 
 8903 
 
 8947 
 
 8992 
 
 9036 
 
 9080 
 
 9124 
 
 9169 
 
 9213 
 
 9257 
 
 9301 
 
 
 
 16 
 
 9345 
 
 9390 
 
 9434 
 
 9478 
 
 9522 
 
 9567 
 
 9611 
 
 9655 
 
 9699 
 
 9744 
 
 
 
 17 
 
 9788 
 
 9832 
 
 9876 
 
 9921 
 
 9965 
 
 0009 
 
 0053 
 
 0098 
 
 0142 
 
 0186 
 
 
 
 18 
 
 9920230 
 
 0275 
 
 0319 
 
 0363 
 
 0407 
 
 0451 
 
 0496 
 
 0540 
 
 0584 
 
 0628 
 
 
 
 19 
 
 0673 
 
 0717 
 
 0761 
 
 0805 
 
 0850 
 
 0894 
 
 0938 
 
 0982 
 
 1026 
 
 1071 
 
 
 
 9820 
 
 1115 
 
 1159 
 
 1203 
 
 1248 
 
 1292 
 
 1336 
 
 1380 
 
 1424 
 
 1469 
 
 1513 
 
 
 
 21 
 
 1557 
 
 1601 
 
 1646 
 
 1690 
 
 1734 
 
 1778 
 
 1822 
 
 1867 
 
 1911 
 
 1955 
 
 
 
 22 
 
 1999 
 
 2044 
 
 2088 
 
 2132 
 
 2176 
 
 2220 
 
 2265 
 
 2309 
 
 2353 
 
 2397 
 
 
 
 23 
 
 2441 
 
 2486 
 
 2530 
 
 2574 
 
 2618 
 
 2662 
 
 2707 
 
 2751 
 
 2795 
 
 2839 
 
 
 
 24 
 
 2884 
 
 2928 
 
 2972 
 
 3016 
 
 3060 
 
 3105 
 
 3149 
 
 3193 
 
 3237 
 
 3281 
 
 
 
 25 
 
 3326 
 
 3370 
 
 3414 
 
 3458 
 
 3502 
 
 3547 
 
 3591 
 
 3635 
 
 3679 
 
 3723 
 
 
 
 26 
 
 3768 
 
 3812 
 
 3856 
 
 3900 
 
 3944 
 
 3989 
 
 4033 
 
 4077 
 
 4121 
 
 4165 
 
 
 
 27 
 
 4210 
 
 4254 
 
 4298 
 
 4342 
 
 4386 
 
 4431 
 
 4475 
 
 4519 
 
 4563 
 
 4607 
 
 
 
 28 
 
 4651 
 
 4696 
 
 4740 
 
 4784 
 
 4828 
 
 4872 
 
 4917 
 
 4961 
 
 5005 
 
 5049 
 
 
 
 29 
 
 5093 
 
 5138 
 
 5182 
 
 5226 
 
 5270 
 
 5314 
 
 5358 
 
 5403 
 
 5447 
 
 5491 
 
 
 
 98SO 
 
 5535 
 
 5579 
 
 5624 
 
 5668 
 
 5712 
 
 5756 
 
 5800 
 
 5844 
 
 5889 
 
 5933 
 
 
 
 31 
 
 5977 
 
 6021 
 
 6065 
 
 6109 
 
 6154 
 
 6198 
 
 6242 
 
 6286 
 
 6330 
 
 6375 
 
 
 
 32 
 
 6419 
 
 6463 
 
 6507 
 
 6551 
 
 6595 
 
 6640 
 
 6684 
 
 6728 
 
 6772 
 
 6816 
 
 
 
 33 
 
 6860 
 
 6905 
 
 6949 
 
 6993 
 
 7037 
 
 7081 
 
 7125 
 
 7170 
 
 7214 
 
 7258 
 
 
 
 34 
 
 7302 
 
 7346 
 
 7390 
 
 7435 
 
 7479 
 
 7523 
 
 7567 
 
 7611 
 
 7655 
 
 7699 
 
 
 
 35 
 
 7744 
 
 7788 
 
 7832 
 
 7876 
 
 7920 
 
 7964 
 
 8009 
 
 8053 
 
 8097 
 
 8141 
 
 
 
 36 
 
 8185 
 
 8229 
 
 8274 
 
 8318 
 
 8362 
 
 8406 
 
 8450 
 
 8494 
 
 8538 
 
 8583 
 
 
 
 37 
 
 8627 
 
 8671 
 
 8715 
 
 8759 
 
 8803 
 
 8847 
 
 8892 
 
 8936 
 
 8980 
 
 9024 
 
 
 
 38 
 
 9068 
 
 9112 
 
 9156 
 
 9201 
 
 9245 
 
 9289 
 
 9333 
 
 9377 
 
 9421 
 
 9465 
 
 
 
 39 
 
 9510 
 
 9554 
 
 9598 
 
 9642 
 
 9686 
 
 9730 
 
 9774 
 
 9819 
 
 9863 
 
 9907 
 
 
 
 9840 
 
 9951 
 
 9995 
 
 0039 
 
 0083 
 
 0128 
 
 0172 
 
 0216 
 
 0260 
 
 0304 
 
 0348 
 
 
 
 41 
 
 9930392 
 
 0436 
 
 0481 
 
 0525 
 
 0569 
 
 0613 
 
 0657 
 
 0701 
 
 0745 
 
 0789 
 
 
 
 42 
 
 0834 
 
 0878 
 
 0922 
 
 0966 
 
 1010 
 
 1054 
 
 1098 
 
 1142 
 
 1187 
 
 1231 
 
 
 44 
 
 45 
 
 1275 
 
 1319 
 
 1363 
 
 1407 
 
 1451 
 
 1495 
 
 1540 
 
 1584 
 
 1628 
 
 1672 
 
 
 1 4 
 
 44 
 
 1716 
 
 1760 
 
 1804 
 
 1848 
 
 1893 
 
 1937 
 
 1981 
 
 2025 
 
 2069 
 
 2113 
 
 
 2 9 
 
 3 13 
 
 45 
 
 2157 
 
 2201 
 
 2245 
 
 2290 
 
 2334 
 
 2378 
 
 2422 
 
 2466 
 
 2510 
 
 2554 
 
 
 4 18 
 
 46 
 
 2598 
 
 2642 
 
 2687 
 
 2731 
 
 2775 
 
 2819 
 
 2863 
 
 2907 
 
 2951 
 
 2995 
 
 
 5 22 
 
 47 
 
 3039 
 
 3083 
 
 3128 
 
 3172 
 
 3216 
 
 3260 
 
 3304 
 
 3348 
 
 3392 
 
 3436 
 
 
 6 26 
 731 
 8 35 
 
 48 
 
 3480 
 
 3524 
 
 3569 
 
 3613 
 
 3657 
 
 3701 
 
 3745 
 
 3789 
 
 3833 
 
 3877 
 
 
 49 
 
 N. 
 
 3921 
 
 3965 
 1 
 
 4010 
 2 
 
 4054 
 
 3 
 
 4098 
 
 4 
 
 4142 
 
 5 
 
 4186 
 
 6 
 
 4230 
 
 7 
 
 4274 
 
 8 
 
 4318 
 
 9 1 
 
 D 
 
 9 40 
 
 Pts. 
 
 
 
N.985 L.993 of numbers. (183)| 
 
 N. 
 
 9850 
 
 
 
 1 
 
 4406 
 
 2 
 
 3 
 
 4495 
 
 4 
 
 4539 
 
 5 
 
 4583 
 
 6 
 
 46.27 
 
 7 
 
 4671 
 
 8 
 
 4715 
 
 9 
 
 D 
 
 Pro. 
 
 9934362 
 
 4450 
 
 4759 
 
 51 
 
 4803 
 
 4847 
 
 4891 
 
 4935 
 
 4980 
 
 5024 
 
 5068 
 
 5112 
 
 5156 
 
 5200 
 
 
 44 
 
 32 
 
 5244 
 
 5288 
 
 5332 
 
 5376 
 
 5420 
 
 5464 
 
 5509 
 
 5553 
 
 5597 
 
 5641 
 
 
 1 
 
 4 
 
 53 
 
 5685 
 
 5729 
 
 5773 
 
 5817 
 
 5861 
 
 5905 
 
 5949 
 
 5993 
 
 6037 
 
 6082 
 
 
 2 
 3 
 4 
 
 9 
 13 
 
 18 
 
 54 
 
 6126 
 
 6170 
 
 6214 
 
 6258 
 
 6302 
 
 6346 
 
 6390 
 
 6434 
 
 6478 
 
 6522 
 
 
 55 
 
 6566 
 
 6610 
 
 6654 
 
 6698 
 
 6743 
 
 6787 
 
 6831 
 
 6875 
 
 6919 
 
 6963 
 
 
 5 
 
 22 
 
 56 
 
 7007 
 
 7051 
 
 7095 
 
 7139 
 
 7183 
 
 7227 
 
 7271 
 
 7315 
 
 7359 
 
 7404 
 
 
 6 
 
 7 
 8 
 
 26 
 31 
 35 
 
 57 
 
 7448 
 
 7492 
 
 7536 
 
 7580 
 
 7624 
 
 7668 
 
 7712 
 
 7756 
 
 7800 
 
 7844 
 
 
 58 
 
 7888 
 
 7932 
 
 7976 
 
 8020 
 
 8064 
 
 8108 
 
 8152 
 
 8197 
 
 8241 
 
 8285 
 
 
 
 40 
 
 59 
 
 8329 
 
 8373 
 
 8417 
 
 8461 
 
 8505 
 
 8549 
 
 8593 
 
 8637 
 
 8681 
 
 8725 
 
 
 
 
 9860 
 
 8769 
 
 8813 
 
 8857 
 
 8901 
 
 8945 
 
 8989 
 
 9033 
 
 9077 
 
 9122 
 
 9166 
 
 
 
 61 
 
 9210 
 
 9254 
 
 9298 
 
 9342 
 
 9386 
 
 9430 
 
 9474 
 
 9518 
 
 9562 
 
 9606 
 
 
 
 62 
 
 9650 
 
 9694 
 
 9738 
 
 9782 
 
 9826 
 
 9870 
 
 9914 
 
 9958 
 
 0002 
 
 0046 
 
 
 
 63 
 
 9940090 
 
 0134 
 
 0178 
 
 0222 
 
 0266 
 
 0310 
 
 0355 
 
 0399 
 
 0443 
 
 0487 
 
 
 
 64 
 
 0531 
 
 0575 
 
 0619 
 
 0663 
 
 0707 
 
 0751 
 
 0795 
 
 0839 
 
 0883 
 
 0927 
 
 
 
 65 
 
 0971 
 
 1015 
 
 1059 
 
 1103 
 
 1147 
 
 1191 
 
 1235 
 
 1279 
 
 1323 
 
 1367 
 
 
 
 66 
 
 1411 
 
 1455 
 
 1499 
 
 1543 
 
 1587 
 
 1631 
 
 1675 
 
 1719 
 
 1763 
 
 1807 
 
 
 
 67 
 
 1851 
 
 1895 
 
 1939 
 
 1983 
 
 2027 
 
 2071 
 
 2115 
 
 2159 
 
 2203 
 
 2247 
 
 
 
 68 
 
 2291 
 
 2335 
 
 2379 
 
 2423 
 
 2467 
 
 2511 
 
 2555 
 
 2599 
 
 2643 
 
 2687 
 
 
 
 69 
 
 2731 
 
 2775 
 
 2820 
 
 2864 
 
 2908 
 
 2952 
 
 2996 
 
 3040 
 
 3084 
 
 3128 
 
 44 
 
 
 9870 
 
 3172 
 
 3216 
 
 3260 
 
 3304 
 
 3348 
 
 3392 
 
 3436 
 
 3480 
 
 3524 
 
 3568 
 
 
 
 71 
 
 361^ 
 
 3656 
 
 3700 
 
 3744 
 
 3788 
 
 3831 
 
 3875 
 
 3919 
 
 3963 
 
 4007 
 
 
 
 72 
 
 4051 
 
 4095 
 
 4139 
 
 4183 
 
 4227 
 
 4271 
 
 4315 
 
 4359 
 
 4403 
 
 4447 
 
 
 
 73 
 
 4491 
 
 4535 
 
 4579 
 
 4623 
 
 4667 
 
 4711 
 
 4755 
 
 4799 
 
 4843 
 
 4887 
 
 
 
 74 
 
 4931 
 
 4975 
 
 5019 
 
 5063 
 
 5107 
 
 5151 
 
 5195 
 
 5239 
 
 5283 
 
 5327 
 
 
 
 75 
 
 5371 
 
 5415 
 
 5459 
 
 5503 
 
 5547 
 
 5591 
 
 5635 
 
 5679 
 
 5723 
 
 5767 
 
 
 
 76 
 
 5811 
 
 5855 
 
 5899 
 
 5943 
 
 5987 
 
 6031 
 
 6075 
 
 6119 
 
 6163 
 
 6207 
 
 
 
 77 
 
 6251 
 
 6295 
 
 6338 
 
 6382 
 
 6426 
 
 6470 
 
 6514 
 
 6558 
 
 6602 
 
 6646 
 
 
 
 78 
 
 6690 
 
 6734 
 
 6778 
 
 6822 
 
 6866 
 
 6910 
 
 6954 
 
 6998 
 
 7042 
 
 7086 
 
 
 
 , 79 
 
 7130 
 
 7174 
 
 7218 
 
 7262 
 
 7306 
 
 7350 
 
 7394 
 
 7438 
 
 7482 
 
 7525 
 
 
 
 9880 
 
 7569 
 
 7613 
 
 7657 
 
 7701 
 
 7745 
 
 7789 
 
 7833 
 
 7877 
 
 7921 
 
 7965 
 
 
 
 81 
 
 8009 
 
 8053 
 
 8097 
 
 8141 
 
 8185 
 
 8229 
 
 8273 
 
 8317 
 
 8361 
 
 8405 
 
 
 
 82 
 
 8448 
 
 8492 
 
 8536 
 
 8580 
 
 8624 
 
 8668 
 
 8712 
 
 8756 
 
 8800 
 
 8844 
 
 
 
 83 
 
 8888 
 
 8932 
 
 8976 
 
 9020 
 
 9064 
 
 9108 
 
 9152 
 
 9196 
 
 9239 
 
 9283 
 
 
 
 84 
 
 9327 
 
 9371 
 
 9415 
 
 9459 
 
 9503 
 
 9547, 
 
 9591 
 
 9635 
 
 9679 
 
 9723 
 
 
 
 85 
 
 9767 
 
 9811 
 
 9855 
 
 9899 
 
 9942 
 
 9986 
 
 0030 
 
 0074 
 
 0118 
 
 0162 
 
 
 
 86 
 
 9950206 
 
 0250 
 
 0294 
 
 0338 
 
 0382 
 
 0426 
 
 0470 
 
 0514 
 
 0557 
 
 0601 
 
 
 
 87 
 
 0645 
 
 0689 
 
 0733 
 
 0777 
 
 0821 
 
 0865 
 
 0909 
 
 0953 
 
 0997 
 
 1041 
 
 
 
 88 
 
 1085 
 
 1128 
 
 1172 
 
 1216 
 
 1260 
 
 1304 
 
 1348 
 
 1392 
 
 1436 
 
 1480 
 
 
 
 89 
 
 1524 
 
 1568 
 
 1612 
 
 1656 
 
 1699 
 
 1743 
 
 1787 
 
 1831 
 
 1875 
 
 1919 
 
 
 
 9890 
 
 1963 
 
 2007 
 
 2051 
 
 2095 
 
 2139 
 
 2182 
 
 2226 
 
 2270 
 
 2314 
 
 2358 
 
 
 
 91 
 
 2402 
 
 2446 
 
 2490 
 
 2534 
 
 2578 
 
 2622 
 
 2665 
 
 2709 
 
 2753 
 
 2797 
 
 
 
 92 
 
 2841 
 
 2885 
 
 2929 
 
 2973 
 
 3017 
 
 3061 
 
 3104 
 
 3148 
 
 3192 
 
 3236 
 
 
 43 
 
 93 
 
 3280 
 
 3324 
 
 3368 
 
 3412 
 
 3456 
 
 3500 
 
 3543 
 
 3587 
 
 3631 
 
 3675 
 
 
 1 
 
 4 
 
 94 
 
 3719 
 
 3763 
 
 3807 
 
 3851 
 
 3895 
 
 3939 
 
 3982 
 
 4026 
 
 4070 
 
 4114 
 
 
 2 
 3 
 
 9 
 13 
 
 95 
 
 4158 
 
 4202 
 
 4246 
 
 4290 
 
 4334 
 
 4377 
 
 4421 
 
 4465 
 
 450a. 
 
 4553 
 
 
 4 
 
 17 
 
 96 
 
 4597 
 
 4641 
 
 4685 
 
 4729 
 
 4772 
 
 4816 
 
 4860 
 
 4904 
 
 4948 
 
 4992 
 
 
 5 
 
 22 
 
 97 
 
 5036 
 
 5080 
 
 5123 
 
 5167 
 
 5211 
 
 5255 
 
 5299 
 
 5343 
 
 5387 
 
 5431 
 
 
 6 
 
 7 
 8 
 
 26 
 30 
 34 
 
 98 
 
 5474 
 
 5518 
 
 5562 
 
 5606 
 
 5650 
 
 5694 
 
 5738 
 
 5782 
 
 5825 
 
 5869 
 
 
 99 
 
 N. 
 
 5913 
 
 5957 
 ] 
 
 6001 
 
 2 
 
 6045 
 
 3 
 
 6089 
 
 6133 
 5 
 
 6176 
 
 6 
 
 6220 
 
 7 
 
 6264 
 8 
 
 6308 
 
 9 
 
 D 
 
 9 
 
 39 
 
 
 
 4 
 
 P 
 
 ts. 
 
(184) 
 
 
 
 LOGARITHMS 
 
 
 ^ 
 
 ^'990L. 
 
 995 \ 
 
 N. 
 
 9900 
 
 
 
 1 
 
 6396 
 
 2 
 6440 
 
 3 
 
 6484 
 
 4 
 
 6527 
 
 5 
 
 6571 
 
 6 
 
 6615 
 
 7 
 
 6659 
 
 8 
 6703 
 
 9 
 
 6747 
 
 D 
 
 Pro. 
 
 9956352 
 
 01 
 
 6791 
 
 6834 
 
 6878 
 
 6922 
 
 6966 
 
 7010 
 
 7054 
 
 7098 
 
 7142 
 
 7185 
 
 
 44 
 
 02 
 
 7229 
 
 7273 
 
 7317 
 
 7361 
 
 7405 
 
 7449 
 
 7492 
 
 7536 
 
 7580 
 
 7624 
 
 
 1 
 
 4 
 
 03 
 
 7668 
 
 7712 
 
 7755 
 
 7799 
 
 7843 
 
 7887 
 
 7931 
 
 7975 
 
 8019 
 
 8062 
 
 
 2 
 3 
 4 
 
 .1 
 
 18 
 
 04 
 
 8106 
 
 8150 
 
 8194 
 
 8238 
 
 8282 
 
 8326 
 
 8369 
 
 8413 
 
 8457 
 
 8501 
 
 
 05 
 
 8545 
 
 8589 
 
 8632 
 
 8676 
 
 8720 
 
 8764 
 
 8808 
 
 8852 
 
 8896 
 
 8939 
 
 
 5 
 
 22 
 
 Ofi 
 
 8983 
 
 9027 
 
 9071 
 
 9115 
 
 9159 
 
 9202 
 
 9246 
 
 9290 
 
 9334 
 
 9378 
 
 
 6 
 
 7 
 8 
 
 26 
 31 
 35 
 
 07 
 
 9422 
 
 9465 
 
 9509 
 
 9553 
 
 9597 
 
 9641 
 
 9685 
 
 9728 
 
 9772 
 
 9816 
 
 
 08 
 
 9860 
 
 9904 
 
 9948 
 
 9991 
 
 0035 
 
 0079 
 
 0123 
 
 0167 
 
 0211 
 
 0254 
 
 
 9 
 
 40 
 
 09 
 
 9960298 
 
 0342 
 
 0386 
 
 0430 
 
 0474 
 
 0517 
 
 0561 
 
 0605 
 
 0649 
 
 0693 
 
 
 
 9910 
 
 0737 
 
 0780 
 
 0824 
 
 0868 
 
 0912 
 
 0956 
 
 0999 
 
 1043 
 
 1087 
 
 1131 
 
 
 
 11 
 
 1175 
 
 1219 
 
 1262 
 
 1306 
 
 1350 
 
 1394 
 
 1438 
 
 1481 
 
 1525 
 
 1569 
 
 
 
 12 
 
 1613 
 
 1657 
 
 1701 
 
 1744 
 
 1788 
 
 1832 
 
 1876 
 
 1920 
 
 1963 
 
 2007 
 
 
 
 13 
 
 2051 
 
 2095 
 
 2139 
 
 2182 
 
 2226 
 
 2270 
 
 2314 
 
 2358 
 
 2402 
 
 2445 
 
 
 
 14 
 
 2489 
 
 2533 
 
 2577 
 
 2621 
 
 2664 
 
 2708 
 
 2752 
 
 2796 
 
 2840 
 
 2883 
 
 
 
 15 
 
 2927 
 
 2971 
 
 3015 
 
 3059 
 
 3102 
 
 3146 
 
 3190 
 
 3234 
 
 3278 
 
 3321 
 
 
 
 16 
 
 3365 
 
 3409 
 
 3453 
 
 3497 
 
 3540 
 
 3584 
 
 3628 
 
 3672 
 
 3716 
 
 3759 
 
 
 
 17 
 
 3803 
 
 3847 
 
 3891 
 
 3935 
 
 3978 
 
 4022 
 
 4066 
 
 4110 
 
 4153 
 
 4197 
 
 
 
 18 
 
 4241 
 
 4285 
 
 4329 
 
 4372 
 
 4416 
 
 4460 
 
 4504 
 
 4548 
 
 4591 
 
 4635 
 
 
 
 19 
 
 4679 
 
 4723 
 
 4766 
 
 4810 
 
 4854 
 
 4898 
 
 4942 
 
 4985 
 
 5029 
 
 5073 
 
 
 
 9920 
 
 5117 
 
 5161 
 
 5204 
 
 5248 
 
 5292 
 
 5336 
 
 5379 
 
 5423 
 
 5467 
 
 5511 
 
 
 
 21 
 
 5554 
 
 5598 
 
 5642 
 
 5686 
 
 5730 
 
 5773 
 
 5817 
 
 5861 
 
 5905 
 
 5948 
 
 
 
 22 
 
 5992 
 
 6036 
 
 6080 
 
 6124 
 
 6167 
 
 6211 
 
 6255 
 
 6299 
 
 6342 
 
 6386 
 
 
 
 23 
 
 6430 
 
 6474 
 
 6517 
 
 6561 
 
 6605 
 
 6649 
 
 6693 
 
 6736 
 
 6780 
 
 6824 
 
 
 
 24 
 
 6868 
 
 6911 
 
 6955 
 
 6999 
 
 7043 
 
 7086 
 
 7130 
 
 7174 
 
 7218 
 
 7261 
 
 
 
 25 
 
 7305 
 
 7349 
 
 7393 
 
 7436 
 
 7480 
 
 7524 
 
 7568 
 
 7611 
 
 7655 
 
 7699 
 
 
 
 26 
 
 7743 
 
 7786 
 
 7830 
 
 7874 
 
 7918 
 
 7961 
 
 8005 
 
 8049 
 
 8093 
 
 8136 
 
 
 
 27 
 
 8180 
 
 8224 
 
 8268 
 
 8311 
 
 8355 
 
 8399 
 
 8443 
 
 8486 
 
 8530 
 
 8574 
 
 
 
 28 
 
 8618 
 
 8661 
 
 8705 
 
 8749 
 
 8'793 
 
 8836 
 
 8880 
 
 8924 
 
 8968 
 
 9011 
 
 
 
 29 
 
 9055 
 
 9099 
 
 9143 
 
 9186 
 
 9230 
 
 9274 
 
 9318 
 
 9361 
 
 9405 
 
 9449 
 
 
 
 9930 
 
 9492 
 
 9536 
 
 9580 
 
 9624 
 
 9667 
 
 9711 
 
 9755 
 
 9799 
 
 9842 
 
 9886 
 
 
 
 31 
 
 9930 
 
 9974 
 
 0017 
 
 0061 
 
 0105 
 
 0148 
 
 0192 
 
 0236 
 
 0280 
 
 0323 
 
 
 
 32 
 
 9970367 
 
 0411 
 
 0455 
 
 0498 
 
 0542 
 
 0586 
 
 0629 
 
 0673 
 
 0717 
 
 0761 
 
 
 
 33 
 
 0804 
 
 0848 
 
 0892 
 
 0936 
 
 0979 
 
 1023 
 
 1067 
 
 1110 
 
 1154 
 
 1198 
 
 
 
 34 
 
 1242 
 
 1285 
 
 1329 
 
 1373 
 
 1416 
 
 1460 
 
 1504 
 
 1548 
 
 1591 
 
 1635 
 
 
 
 S5 
 
 1679 
 
 1722 
 
 1766 
 
 1810 
 
 1854 
 
 1897 
 
 1941 
 
 1985 
 
 2028 
 
 2072 
 
 
 
 SQ 
 
 2116 
 
 2160 
 
 2203 
 
 2247 
 
 2291 
 
 2334 
 
 2378 
 
 2422 
 
 2465 
 
 2509 
 
 
 
 37 
 
 2553 
 
 2597 
 
 2640 
 
 2684 
 
 2728 
 
 2771 
 
 2815 
 
 2859 
 
 2903 
 
 2946 
 
 
 
 38 
 
 2990 
 
 3034 
 
 3077 
 
 3121 
 
 3165 
 
 3208 
 
 3252 
 
 3296 
 
 3340 
 
 3383 
 
 
 
 39 
 
 3427 
 
 3471 
 
 3514 
 
 3558 
 
 3602 
 
 3645 
 
 3689 
 
 3733 
 
 3776 
 
 3820 
 
 
 
 9940 
 
 3864 
 
 3908 
 
 3951 
 
 3995 
 
 4039 
 
 4082 
 
 4126 
 
 4170 
 
 4213 
 
 4257 
 
 
 
 - 41 
 
 4301 
 
 4344 
 
 4388 
 
 4432 
 
 4475 
 
 4519 
 
 4563 
 
 4607 
 
 4650 
 
 4694 
 
 
 
 42 
 
 4738 
 
 4781 
 
 4825 
 
 4869 
 
 4912 
 
 4956 
 
 5000 
 
 5043 
 
 5087 
 
 5131 
 
 
 43 
 
 43 
 
 5174 
 
 5218 
 
 5262 
 
 5305 
 
 5349 
 
 5393 
 
 5436 
 
 5480 
 
 5524 
 
 5567 
 
 
 1 
 
 4 
 
 44 
 
 5611 
 
 5Q55 
 
 5699 
 
 5742 
 
 5786 
 
 5830 
 
 5873 
 
 5917 
 
 5961 
 
 6004 
 
 
 2 
 3 
 4 
 
 9 
 
 45 
 
 6048 
 
 6092 
 
 6135 
 
 6179 
 
 6223 
 
 6266 
 
 6310 
 
 6354 
 
 6397 
 
 6441 
 
 
 1 o 
 
 17 
 
 46 
 
 6485 
 
 6528 
 
 6572 
 
 6616 
 
 6659 
 
 6703 
 
 6747 
 
 6790 
 
 6834 
 
 6878 
 
 
 5 
 
 22 
 
 47 
 
 6921 
 
 6965 
 
 7009 
 
 7052 
 
 7096 
 
 7139 
 
 7183 
 
 7227 
 
 7270 
 
 7314 
 
 
 6 
 
 7 
 g 
 
 26 
 30 
 34 
 
 48 
 
 7358 
 
 7401 
 
 7445 
 
 7489 
 
 7532 
 
 7576 
 
 7620 
 
 7663 
 
 7707 
 
 7751 
 
 
 49 
 
 N. 
 
 7794 
 
 7838 
 1 
 
 7882 
 
 7925 
 
 3 
 
 7969 
 4 
 
 8013 
 
 5 
 
 8056 
 
 ~6~ 
 
 8100 
 
 7 
 
 8 1 44 
 8 
 
 8187 
 
 9 
 
 
 9 
 
 39 
 
 
 
 TT 
 
 Pts. 
 
N.a95 L.997 OF NUMBEftS. (Ij85) 
 
 N. 
 
 9950 
 
 
 
 1 
 
 8274 
 
 2 
 8318 
 
 8362 
 
 4 
 
 8405 
 
 5 
 
 8449 
 
 6 
 
 7 
 
 8530 
 
 8 
 
 8580 
 
 9 
 
 8624 
 
 D 
 
 Pro. 
 
 9978231 
 
 8493 
 
 51 
 
 8667 
 
 8711 
 
 8755 
 
 8798 
 
 8842 
 
 8885 
 
 8929 
 
 8973 
 
 9016 
 
 9060 
 
 
 44 
 
 52 
 
 9104 
 
 9147 
 
 9191 
 
 9235 
 
 9278 
 
 9322 
 
 9365 
 
 9409 
 
 9453 
 
 9496 
 
 
 1 4 
 
 53 
 
 9540 
 
 9584 
 
 9627 
 
 9671 
 
 9715 
 
 9758 
 
 9802 
 
 9845 
 
 9889 
 
 9933 
 
 
 2 9 
 
 54. 
 
 9976 
 
 0020 
 
 0064 
 
 0107 
 
 0151 
 
 0195 
 
 0238 
 
 0282 
 
 0325 
 
 0369 
 
 
 3 13 
 
 4 18 
 
 55 
 
 9980413 
 
 0456 
 
 0500 
 
 0544 
 
 0587 
 
 0631 
 
 0674 
 
 0718 
 
 0762 
 
 0805 
 
 
 5 22 
 
 56 
 
 0849 
 
 0893 
 
 0936 
 
 0980 
 
 1023 
 
 1067 
 
 1111 
 
 1154 
 
 1198 
 
 1241 
 
 
 6 26 
 
 51 
 
 1285 
 
 1329 
 
 1372 
 
 1416 
 
 1460 
 
 1503 
 
 1547 
 
 1590 
 
 1634 
 
 1678 
 
 
 7 31 
 
 8 35 
 
 58 
 
 1721 
 
 1765 
 
 1808 
 
 1852 
 
 1896 
 
 1939 
 
 1983 
 
 2026 
 
 2070 
 
 2114 
 
 
 9 40 
 
 59 
 
 2157 
 
 2201 
 
 2245 
 
 2288 
 
 2332 
 
 2375 
 
 2419 
 
 2463 
 
 2506 
 
 2550 
 
 
 
 9960 
 
 2593 
 
 2637 
 
 2681 
 
 2724 
 
 2768 
 
 2811 
 
 2855 
 
 2899 
 
 2942 
 
 29 S 6 
 
 
 
 61 
 
 3029 
 
 3073 
 
 3117 
 
 3160 
 
 3204 
 
 3247 
 
 3291 
 
 3335 
 
 3378 
 
 3422 
 
 
 
 62 
 
 3465 
 
 3509 
 
 3553 
 
 3596 
 
 3640 
 
 3683 
 
 3727 
 
 3771 
 
 3814 
 
 3858 
 
 
 
 6.'i 
 
 3901 
 
 3945 
 
 3988 
 
 4032 
 
 4076 
 
 4119 
 
 4163 
 
 4206 
 
 4250 
 
 4294 
 
 
 
 64 
 
 4337 
 
 4381 
 
 4424 
 
 4468 
 
 4512 
 
 4555 
 
 4599 
 
 4642 
 
 4686 
 
 4729 
 
 
 
 65 
 
 4773 
 
 4817 
 
 4860 
 
 4904 
 
 4947 
 
 4991 
 
 5035 
 
 5078 
 
 5122 
 
 5165 
 
 
 
 66 
 
 5209 
 
 5252 
 
 5296 
 
 5340 
 
 53S3 
 
 5427 
 
 5470 
 
 5514 
 
 5557 
 
 5601 
 
 
 
 67 
 
 5645 
 
 5688 
 
 5732 
 
 5775 
 
 5819 
 
 5862 
 
 5906 
 
 5950 
 
 5993 
 
 6037 
 
 
 
 68 
 
 6080 
 
 6124 
 
 6167 
 
 6211 
 
 6255 
 
 6298 
 
 6342 
 
 6385 
 
 6429 
 
 6472 
 
 
 
 69 
 
 6516 
 
 6560 
 
 6603 
 
 6647 
 
 6690 
 
 6734 
 
 6777 
 
 6821 
 
 6864 
 
 6908 
 
 
 
 9970 
 
 6952 
 
 6995 
 
 7039 
 
 7082 
 
 7126 
 
 7169 
 
 7213 
 
 7256 
 
 7300 
 
 7344 
 
 
 
 71 
 
 7387 
 
 7431 
 
 7474 
 
 7518 
 
 7561 
 
 7605 
 
 7648 
 
 7692 
 
 7736 
 
 7779 
 
 
 
 72 
 
 7823 
 
 7866 
 
 7910 
 
 7953 
 
 7997 
 
 8040 
 
 8084 
 
 8128 
 
 8171 
 
 8215 
 
 
 
 73 
 
 8258 
 
 8302 
 
 8345 
 
 8389 
 
 8432 
 
 8476 
 
 8519 
 
 8563 
 
 8607 
 
 8650 
 
 
 
 74 
 
 8694 
 
 8737 
 
 8781 
 
 8824 
 
 8868 
 
 8911 
 
 8955 
 
 8998 
 
 9042 
 
 9086 
 
 
 
 75 
 
 9129 
 
 9173 
 
 9216 
 
 9260 
 
 9303 
 
 9347 
 
 9390 
 
 9434 
 
 9477 
 
 9521 
 
 
 
 76 
 
 9564 
 
 9608 
 
 9651 
 
 9695 
 
 9739 
 
 9782, 
 
 9826 
 
 9869 
 
 9913 
 
 9956 
 
 
 
 77 
 
 9990000 
 
 0043 
 
 0087 
 
 0130 
 
 0174 
 
 0217 
 
 0261 
 
 0304 
 
 0348 
 
 0391 
 
 
 
 78 
 
 0435 
 
 0479 
 
 0522 
 
 0566 
 
 0609 
 
 0653 
 
 0696 
 
 0740 
 
 0783 
 
 0827 
 
 
 
 79 
 
 0870 
 
 0914 
 
 0957 
 
 1001 
 
 1044 
 
 1088 
 
 1131 
 
 1175 
 
 12.18 
 
 1262 
 
 
 
 9980 
 
 1305 
 
 1349 
 
 1392 
 
 1436 
 
 1479 
 
 1523 
 
 1567 
 
 1610 
 
 1654 
 
 1697 
 
 
 
 81 
 
 1741 
 
 1784 
 
 1828 
 
 1871 
 
 1915 
 
 1958 
 
 2002 
 
 2045 
 
 2089 
 
 2132 
 
 
 
 82 
 
 2176 
 
 2219 
 
 2263 
 
 2306 
 
 2350 
 
 2393 
 
 2437 
 
 2480 
 
 2524 
 
 2567 
 
 
 
 83 
 
 2611 
 
 2654 
 
 2698 
 
 2741 
 
 2785 
 
 2828 
 
 2872 
 
 2915 
 
 2959 
 
 3002 
 
 
 
 84 
 
 3046 
 
 3089 
 
 3133 
 
 3176 
 
 3220 
 
 3263 
 
 3307 
 
 3350 
 
 3394 
 
 3437 
 
 
 
 85 
 
 3481 
 
 3524 
 
 3568 
 
 3611 
 
 3655 
 
 3698 
 
 3742 
 
 3785 
 
 3829 
 
 3872 
 
 
 
 86 
 
 3916 
 
 3959 
 
 4003 
 
 4046 
 
 4090 
 
 4133 
 
 4177 
 
 4220 
 
 4264 
 
 4307 
 
 
 
 87 
 
 4350 
 
 4394 
 
 4437 
 
 4481 
 
 4524 
 
 4568 
 
 4611 
 
 4655 
 
 4698 
 
 4742 
 
 
 
 88 
 
 4785 
 
 4829 
 
 4872 
 
 4916 
 
 4959 
 
 5003 
 
 5046 
 
 5090 
 
 5133 
 
 5177 
 
 
 
 89 
 
 5220 
 
 5264 
 
 5307 
 
 5351 
 
 5394 
 
 5438 
 
 5481 
 
 5524 
 
 5568 
 
 5611 
 
 
 ^ 
 
 9990 
 
 5655 
 
 5698 
 
 5742 
 
 5785 
 
 5829 j 
 
 5872 
 
 5916 
 
 5959 
 
 6003 
 
 6046 
 
 
 
 91 
 
 6090 
 
 6133 
 
 6177 
 
 6220 
 
 6263 
 
 6307 
 
 6350 
 
 6394 
 
 6437 
 
 6481 
 
 
 
 92 
 
 6524 
 
 6568 
 
 6611 
 
 6655 
 
 6698 
 
 6742 
 
 6785 
 
 6828 
 
 6872 
 
 6915 
 
 
 43 
 
 93 
 
 6959 
 
 7002 
 
 7046 
 
 7089 
 
 7133 
 
 7176 
 
 7220 
 
 7263 
 
 7307 
 
 7350 
 
 
 1 4 
 
 94 
 
 7393 
 
 7437 
 
 7480 
 
 7524 
 
 7567 
 
 7611 
 
 7654 
 
 7698 
 
 7741 
 
 77§5 
 
 
 2 9 
 
 3 13 
 
 95 
 
 7828 
 
 7871 
 
 7915 
 
 7958 
 
 8002 
 
 8045 
 
 8089 
 
 8132 
 
 8176 
 
 8219 
 
 
 4 17 
 
 96 
 
 8262 
 
 8306 
 
 8349 
 
 8393 
 
 8436 
 
 8480 
 
 8523 
 
 8567 
 
 8610 
 
 8653 
 
 
 6 22 
 
 97 
 
 8697 
 
 8740 
 
 8784 
 
 8827 
 
 8871 
 
 8914 
 
 S958 
 
 9001 
 
 9044 
 
 9088 
 
 
 6 26 
 
 7 30' 
 
 8 34 
 
 98 
 
 9131 
 
 9175 
 
 9218 
 
 9262 
 
 9305 
 
 9349 
 
 9392 
 
 9435 
 
 9479 
 
 9522 
 
 
 99 
 
 N. 
 
 9560 
 
 9609 
 1 
 
 9653 
 
 9696 
 
 3 
 
 9739 
 4 
 
 9783 
 
 9S26 
 
 9870 
 
 9913 
 8 
 
 9957 
 
 9 
 
 T) ] 
 
 9 39 
 
 Pts. 
 
 
 
 2 
 
 5 
 
 IT 
 
 7 
 
 3 B 
 
(186*) LOGARITHMS N.IOOO L. 0000 
 
 N. 
 
 
 
 1 
 
 0434 
 
 2 
 
 3 
 
 4 
 
 1737 
 
 5 
 
 217! 
 
 6 
 
 2606 
 
 7 
 
 3040 
 
 8 
 
 3474 
 
 9 
 
 3908 
 
 1) 
 
 Pro. 
 
 lOOOC 
 
 00000000 
 
 0869 
 
 1303 
 
 01 
 
 4343 
 
 4777 
 
 5211 
 
 5645 
 
 6080 
 
 0514 
 
 6948 
 
 7382 
 
 7817 
 
 8251 
 
 435 
 
 435 
 
 01 
 
 86S5 
 
 9119 
 
 9553 
 
 9988 
 
 0422 
 
 0856 
 
 1290 
 
 1724 
 
 2159 
 
 2593 
 
 
 1 44 
 
 0.3 
 
 00013027 
 
 3461 
 
 3895 
 
 4329 
 
 4764 
 
 5198 
 
 5632 
 
 6066 
 
 6500 
 
 6934 
 
 
 2 87 
 
 '} 1 O] 
 
 04 
 
 7368 
 
 7802 
 
 8237 
 
 8671 
 
 9105 
 
 9539 
 
 9973 
 
 0407 
 
 0841 
 
 1275 
 
 
 O 1.J 1 
 
 4 174 
 
 05 
 
 00021709 
 
 2143 
 
 2577 
 
 3012 
 
 8446 
 
 3880 
 
 4314 
 
 4748 
 
 5182 
 
 5616 
 
 
 5218 
 
 6 261 
 
 7 QfiK 
 
 06 
 
 6050 
 
 6484 
 
 6918 
 
 7352 
 
 7736 
 
 8220 
 
 8654 
 
 9088 
 
 9522 
 
 9956 
 
 
 07 
 
 00030390 
 
 0824 
 
 1258 
 
 1692 
 
 2126 
 
 2560 
 
 2994 
 
 3428 
 
 3862 
 
 4296 
 
 
 8 348 
 
 08 
 
 4730 
 
 5164 
 
 5598 
 
 6031 
 
 6465 
 
 6899 
 
 7333 
 
 7767 
 
 8201 
 
 8635 
 
 
 9392 
 
 09 
 
 9069 
 
 9503 
 
 9937 
 
 0371 
 
 0805 
 
 123S 
 
 1672 
 
 2106 
 
 2540 
 
 2974 
 
 
 
 10010 
 
 00043408 
 
 3842 
 
 4275 
 
 4709 
 
 5143 
 
 5511 
 
 6011 
 
 6445 
 
 6878 
 
 7312 
 
 
 
 11 
 
 7746 
 
 8180 
 
 8614 
 
 9048 
 
 9481 
 
 9915 
 
 0349 
 
 0783 
 
 1217 
 
 1650 
 
 
 
 12 
 
 00052084 
 
 2518 
 
 2952 
 
 3385 
 
 3819 
 
 4253 
 
 4687 
 
 5120 
 
 5554 
 
 5988 
 
 
 
 13 
 
 6422 
 
 6855 
 
 7289 
 
 7723 
 
 8157 
 
 8590 
 
 9024 
 
 9458 
 
 9891 
 
 0325 
 
 
 
 14 
 
 00060759 
 
 1192 
 
 1626 
 
 2060 
 
 2493 
 
 2927 
 
 3m\ 
 
 3794 
 
 4228 
 
 4662 
 
 
 
 15 
 
 5095 
 
 5529 
 
 5963 
 
 6396 
 
 6830 
 
 7264 
 
 1691 
 
 8131 
 
 8564 
 
 8998 
 
 
 
 16 
 
 9432 
 
 9865 
 
 0299 
 
 0732 
 
 1166 
 
 1600 
 
 2033 
 
 2467 
 
 2900 
 
 3334 
 
 
 
 17 
 
 00073767 
 
 4201 
 
 4634 
 
 5068 
 
 5502 
 
 5QS5 
 
 6369 
 
 6802 
 
 7236 
 
 7669 
 
 
 
 18 
 
 8103 
 
 8536 
 
 8970 
 
 9403 
 
 9837 
 
 0270 
 
 0704 
 
 1137 
 
 1571 
 
 2004 
 
 
 
 19 
 
 00082438 
 
 2871 
 
 3305 
 
 3738 
 
 4172 
 
 4605 
 
 5038 
 
 5472 
 
 5905 
 
 6339 
 
 
 
 10020 
 
 6772 
 
 7206 
 
 7639 
 
 8072 
 
 8506 
 
 8939 
 
 9373 
 
 9806 
 
 0239 
 
 0673 
 
 
 
 21 
 
 00091106 
 
 1540 
 
 1973 
 
 2406 
 
 2840 
 
 3273 
 
 3706 
 
 4140 
 
 4573 
 
 5006 
 
 
 
 22 
 
 5440 
 
 5873 
 
 6307 
 
 6740 
 
 7173 
 
 7606 
 
 8040 
 
 8473 
 
 8906 
 
 &340 
 
 434 
 
 434 
 
 1 43 
 
 2 87 
 
 23 
 
 9773 
 
 0206 
 
 0640 
 
 1073 
 
 1506 
 
 1939 
 
 2373 
 
 2806 
 
 3239 
 
 3673 
 
 24 
 
 00104106 
 
 4539 
 
 4972 
 
 5406 
 
 5839 
 
 6272 
 
 6705 
 
 7138 
 
 7572 
 
 8005 
 
 
 25 
 
 8438 
 
 8871 
 
 9305 
 
 9738 
 
 0171 
 
 0604 
 
 1037 
 
 1471 
 
 1904 
 
 2337 
 
 
 3 130 
 
 26 
 
 00112770 
 
 3203 
 
 3636 
 
 4070 
 
 4503 
 
 4936 
 
 5369 
 
 5802 
 
 6235 
 
 6668, 
 
 
 4 174 
 
 5 217 
 
 6 260 
 
 27 
 
 7101 
 
 7535 
 
 7968 
 
 8401 
 
 8834 
 
 9267 
 
 9700 
 
 0133 
 
 0566 
 
 0999 
 
 
 28 
 
 00121433 
 
 1866 
 
 2299 
 
 2732 
 
 3165 
 
 3598 
 
 4031 
 
 4464 
 
 4897 
 
 5330 
 
 
 7 304 
 
 29 
 
 5763 
 
 6196 
 
 6629 
 
 7062 
 
 7495 
 
 7928 
 
 8361 
 
 8794 
 
 9227 
 
 9660 
 
 
 8 347 
 
 10030 
 
 00130093 
 
 0526 
 
 0959 
 
 1392 
 
 1825 
 
 2258 
 
 2691 
 
 3124 
 
 3557 
 
 3990 
 
 
 9 391 
 
 31 
 
 4423 
 
 4856 
 
 5289 
 
 5722 
 
 6155 
 
 6588 
 
 7021 
 
 7454 
 
 7887 
 
 8319 
 
 
 
 32 
 
 8752 
 
 9185 
 
 9618 
 
 0051 
 
 0484 
 
 0917 
 
 1350 
 
 1783 
 
 2215 
 
 2648 
 
 
 
 - 33 
 
 00143081 
 
 3514 
 
 3947 
 
 4380 
 
 4813 
 
 5246 
 
 5678 
 
 6111 
 
 6544 
 
 6977 
 
 
 
 34 
 
 7410 
 
 7842 
 
 8275 
 
 8708 
 
 9141 
 
 9574 
 
 0007 
 
 0439 
 
 0872 
 
 1305 
 
 
 
 35 
 
 00151758 
 
 2170 
 
 2603 
 
 3036 
 
 3469 
 
 3902 
 
 4334 
 
 4767 
 
 5200 
 
 5633 
 
 
 
 SQ 
 
 6065 
 
 6498 
 
 6931 
 
 7363 
 
 7796 
 
 8229 
 
 8662 
 
 9094 
 
 9527 
 
 9960 
 
 
 
 37 
 
 00160392 
 
 0825 
 
 1258 
 
 1690 
 
 2123 
 
 2556 
 
 2988 
 
 3421 
 
 3854 
 
 4286 
 
 
 
 38 
 
 4719 
 
 5152 
 
 5584 
 
 6017 
 
 6450 
 
 6882 
 
 7315 
 
 7748 
 
 8180 
 
 8613 
 
 
 
 39 
 
 9045 
 
 9478 
 
 9911 
 
 0343 
 
 0776 
 
 1208 
 
 1641 
 
 2074 
 
 2506 
 
 2939 
 
 
 
 10040 
 
 00173371 
 
 3804 
 
 4236 
 
 4669 
 
 5102 
 
 5534 
 
 5967 
 
 6399 
 
 6832 
 
 7264 
 
 
 
 41 
 
 7697 
 
 8129 
 
 8562 
 
 8994 
 
 9427 
 
 9859 
 
 0292 
 
 0724 
 
 1157 
 
 1589 
 
 
 
 42 
 
 00182022 
 
 2454 
 
 2887 
 
 3319 
 
 3752 
 
 4184 
 
 4616 
 
 5049 
 
 5481 
 
 5914 
 
 433 
 
 453 
 
 43 
 
 6346 
 
 6779 
 
 7211 
 
 7644 
 
 8076 
 
 8508 
 
 8941 
 
 9373 
 
 9806 
 
 0238 
 
 
 1 43 
 
 44 
 
 00190670 
 
 1103 
 
 1535 
 
 1968 
 
 2400 
 
 2832 
 
 3265 
 
 3697 
 
 4129 
 
 4562 
 
 
 2 87 
 
 3 130 
 
 45 
 
 4994 
 
 5426 
 
 5859 
 
 6291 
 
 6723 
 
 7156 
 
 7588 
 
 8020 
 
 8453 
 
 8885 
 
 
 4 173 
 
 46 
 
 9317 
 
 9750 
 
 0182 
 
 0614 
 
 1047 
 
 1479 
 
 1911 
 
 2343 
 
 2776 
 
 3208 
 
 
 5217 
 
 47 
 
 00203640 
 
 4072 
 
 4505 
 
 4937 
 
 5369 
 
 5801 
 
 6234 
 
 6666 
 
 7098 
 
 7530 
 
 
 S260 
 7 303 
 3 346 
 
 48 
 
 7963 
 
 8395 
 
 8827 
 
 9259 
 
 9691 
 
 0124 
 
 0556 
 
 0988 
 
 1420 
 
 1852 
 
 
 49 
 
 00212285 
 
 2717 
 
 "T" 
 
 3149 
 2 
 
 3581 
 
 4013 
 
 4 1 
 
 4445 4878 
 
 5310 
 
 7 
 
 5742 
 
 8 
 
 6174 
 
 ~9~ 
 
 D 
 
 )390 
 
 Pts./ 
 
 N. 1 
 
 
 
 3 
 
 5 
 
 H 
 
N. 1005L.0021 OF NUMBERS. , (187*) 
 
 N. 
 
 
 
 1 
 
 7038 
 
 2 
 7470 
 
 3 
 
 7903 
 
 4 
 
 8335 
 
 5 6 
 
 8767 9199 
 
 7 
 
 9631 
 
 8 
 
 0063 
 
 9 
 
 0495 
 
 D 
 
 Pro. 
 
 10050 
 
 00216606 
 
 51 
 
 00220927 
 
 1359 
 
 1791 
 
 2224 
 
 2656 
 
 3088 
 
 3520 
 
 3952 
 
 4384 
 
 4816 
 
 432 
 
 432 
 
 52 
 
 5248 
 
 5680 
 
 6112 
 
 6544 
 
 6976 
 
 7408 
 
 7840 
 
 8272 
 
 8704 
 
 9136 
 
 
 1 43 
 
 53 
 
 9568 
 
 Uooo 
 
 0432 
 
 0S64 
 
 1296 
 
 1728 
 
 2160 
 
 2592 
 
 3024 
 
 3456 
 
 
 2 8b' 
 
 3 130 
 
 4 173 
 
 54 
 
 00233888 
 
 4320 
 
 4752 
 
 5184 
 
 5616 
 
 6048 
 
 6480 
 
 6912 
 
 7344 
 
 7776 
 
 
 55 
 
 8207 
 
 8639 
 
 9071 
 
 9503 
 
 9935 
 
 0367 
 
 0799 
 
 1231 
 
 1663 
 
 2095 
 
 
 5216 
 
 56 
 
 00242526 
 
 2958 
 
 3390 
 
 3822 
 
 4254 
 
 4686 
 
 5118 
 
 5549 
 
 5981 
 
 6413 
 
 
 6 259 
 
 7 302 
 
 8 346 
 
 51 
 
 6845 
 
 7277 
 
 7709 
 
 8140 
 
 8572 
 
 9004 
 
 9436 
 
 9868 
 
 0300 
 
 0731 
 
 
 58 
 
 00251163 
 
 1595 
 
 2027 
 
 2458 
 
 2890 
 
 3322 
 
 3754 
 
 4186 
 
 4617 
 
 5049 
 
 
 9 389 
 
 59 
 
 5481 
 
 5913 
 
 6344 
 
 6776 
 
 7208 
 
 7639 
 
 8071 
 
 8503 
 
 8935 
 
 9366 
 
 
 — — 
 
 10060 
 
 9798 
 
 0230 
 
 0661 
 
 1093 
 
 1525 
 
 1957 
 
 2388 
 
 2820 
 
 3252 
 
 3683 
 
 
 
 61 
 
 00264115 
 
 4547 
 
 4978 
 
 5410 
 
 5842 
 
 6273 
 
 6705 
 
 7136 
 
 7568 
 
 8000 
 
 
 
 62 
 
 8431 
 
 8863 
 
 9295 
 
 9726 
 
 0158 
 
 0589 
 
 1021 
 
 1453 
 
 1884 
 
 2316 
 
 
 
 63 
 
 00272747. 
 
 3179 
 
 3610 
 
 4042 
 
 4474 
 
 4905 
 
 5337 
 
 5768 
 
 6200 
 
 6631 
 
 
 
 64 
 
 7063 
 
 7494 
 
 7926 
 
 8357 
 
 8789 
 
 9220 
 
 9652 
 
 0083 
 
 0515 
 
 0946 
 
 
 
 Q5 
 
 00281378 
 
 1809 
 
 2241 
 
 2672 
 
 3104 
 
 3535 
 
 3967 
 
 4398 
 
 4830 
 
 5261 
 
 
 
 m 
 
 5693 
 
 6124 
 
 Q555 
 
 6987 
 
 7418 
 
 7850 
 
 8281 
 
 8713 
 
 9144 
 
 9575 
 
 
 
 67 
 
 00290007 
 
 0458 
 
 0870 
 
 1301 
 
 1732 
 
 2164 
 
 2595 
 
 3027 
 
 3458 
 
 3889 
 
 
 
 68 
 
 4321 
 
 4752 
 
 5183 
 
 5615 
 
 6046 
 
 6477 
 
 6909 
 
 7340 
 
 7771 
 
 8203 
 
 
 
 69 
 
 8634 
 
 9065 
 
 9497 
 
 9928 
 
 0359 
 
 0791 
 
 1222 
 
 1653 
 
 2084 
 
 2516 
 
 
 
 10070 
 
 00302947 
 
 3378 
 
 3810 
 
 4241 
 
 4672 
 
 5103 
 
 5535 
 
 5966 
 
 6397 
 
 6828 
 
 
 
 71 
 
 7260 
 
 7691 
 
 8122 
 
 8553 
 
 8984 
 
 9416 
 
 9847 
 
 0278 
 
 0709 
 
 1141 
 
 431 
 
 431 
 
 72 
 
 00311572 
 
 2003 
 
 2434 
 
 2865 
 
 3296 
 
 3728 
 
 4159 
 
 4590 
 
 5021 
 
 5452 
 
 
 1 43 
 
 73 
 
 5883 
 
 6315 
 
 6746 
 
 7177 
 
 7608 
 
 8039 
 
 8470 
 
 8901 
 
 9332 
 
 9764 
 
 
 2 86 
 
 3 129 
 
 4 172 
 
 74 
 
 00320195 
 
 0626 
 
 1057 
 
 1488 
 
 1919 
 
 2350 
 
 2781 
 
 3212 
 
 3643 
 
 4074 
 
 
 75 
 
 4505 
 
 4937 
 
 5368 
 
 5799 
 
 6230 
 
 6661 
 
 7092 
 
 7523 
 
 7954 
 
 8385 
 
 
 5 216 
 
 76 
 
 8816 
 
 9247 
 
 9678 
 
 0109 
 
 0540 
 
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 0997 
 
 1420 
 
 1843 
 
 2265 
 
 2688 
 
 3111 
 
 3534 
 
 
 2 84 
 
 74 
 
 01173956 
 
 4379 
 
 4802 
 
 5225 
 
 5647 
 
 6070 
 
 6492 
 
 6915 
 
 7338 
 
 7761 
 
 
 3 127 
 
 4 169 
 5211 
 
 75 
 
 8183 
 
 8606 
 
 9028 
 
 9451 
 
 9874 
 
 S297 
 
 0719 
 
 1142 
 
 1564 
 
 1987 
 
 
 76 
 
 01182410 
 
 2833 
 
 3255 
 
 3678 
 
 4100 
 
 4523 
 
 4945 
 
 3568 
 
 5790 
 
 6213 
 
 
 6 253 
 
 77 
 
 6636 
 
 7059 
 
 7481 
 
 7904 
 
 8326 
 
 8749 
 
 9171 
 
 9594 
 
 0016 
 
 0439 
 
 
 7 295 
 
 8 338 
 
 9 380 
 
 78 
 
 01190861 
 
 1284 
 
 1706 
 
 2129 
 
 2552 
 
 2975 
 
 3397 
 
 3820 
 
 4242 
 
 4665 
 
 
 79 
 
 5087 
 
 5510 
 
 5932 
 
 6355 
 
 6777 
 
 7200 
 
 7622 
 
 8045 
 
 8467 
 
 8889 
 
 
 10280 
 
 9311 
 
 9734 
 
 0156 
 
 0579 
 
 1001 
 
 1424 
 
 1846 
 
 2269 
 
 2691 
 
 3114 
 
 
 
 81 
 
 01203536 
 
 3959 
 
 4381 
 
 4804 
 
 5226 
 
 5648 
 
 6070 
 
 6493 
 
 6915 
 
 7338 
 
 
 
 82 
 
 7760 
 
 8183 
 
 8605 
 
 9027 
 
 9449 
 
 9872 
 
 0294 
 
 0717 
 
 1139 
 
 1562 
 
 
 
 83 
 
 01211984 
 
 2406 
 
 2828 
 
 3251 
 
 3673 
 
 4096 
 
 4518 
 
 4940 
 
 5362 
 
 5785 
 
 
 
 84 
 
 6207 
 
 6629 
 
 7051 
 
 7474 
 
 7896 
 
 8319 
 
 8741 
 
 9163 
 
 9585 
 
 0008 
 
 
 
 85 
 
 01220430 
 
 0852 
 
 1274 
 
 1697 
 
 2119 
 
 2541 
 
 2963 
 
 3386 
 
 3808 
 
 4230 
 
 
 
 86 
 
 4652 
 
 5074 
 
 5496 
 
 5919 
 
 6341 
 
 6763 
 
 7185 
 
 7608 
 
 8030 
 
 8452 
 
 
 
 87 
 
 8874 
 
 9296 
 
 9718 
 
 0141 
 
 0563 
 
 0985 
 
 1407 
 
 1829 
 
 2251 
 
 2674 
 
 
 
 88 
 
 01233096 
 
 3518 
 
 3940 
 
 4362 
 
 4784 
 
 5206 
 
 5628 
 
 6051 
 
 6473 
 
 6895 
 
 
 
 89 
 
 7317 
 
 7739 
 
 8161 
 
 8583 
 
 9005 
 
 9427 
 
 9849 
 
 0271 
 
 0693 
 
 1115 
 
 
 
 10290 
 
 01241537 
 
 1960 
 
 2382 
 
 2804 
 
 3226 
 
 3648 
 
 4070 
 
 4492 
 
 4914 
 
 5336 
 
 
 
 91 
 
 5758 
 
 6180 
 
 6602 
 
 7024 
 
 7446 
 
 7868 
 
 8290 
 
 8712 
 
 9134 
 
 9556 
 
 
 
 92 
 
 9978 
 
 0400 
 
 0822 
 
 1244 
 
 1666 
 
 2088 
 
 2510 
 
 2932 
 
 3353 
 
 3775 
 
 421 
 
 421 
 
 93 
 
 01254197 
 
 4619 
 
 5041 
 
 5463 
 
 5885 
 
 6307 
 
 6729 
 
 7151 
 
 7573 
 
 7995 
 
 
 1 42 
 
 94 
 
 8416 
 
 8838 
 
 9260 
 
 9682 
 
 0104 
 
 0526 
 
 0948 
 
 1370 
 
 1791 
 
 2213 
 
 /■ 
 
 2 84 
 
 3 126 
 
 4 168 
 
 95 
 
 01262635 
 
 3057 
 
 3479 
 
 3901 
 
 4322 
 
 4744 
 
 5166 
 
 5588 
 
 6010 
 
 6432 
 
 
 96 
 
 6853 
 
 7275 
 
 7697 
 
 8119 
 
 8541 
 
 8962 
 
 9384 
 
 9806 
 
 0228 
 
 0649 
 
 
 5 210 
 
 97 
 
 01271071 
 
 1493 
 
 1915 
 
 2336 
 
 2758 
 
 3180 
 
 3602 
 
 4023 
 
 4445 
 
 4867 
 
 
 6 253 
 
 98 
 
 5289 
 
 5710 
 
 6132 
 
 6554 
 
 6976 
 
 7397 
 
 7819 
 
 8241 
 
 8662 
 
 9084 
 
 
 7 295 
 
 8 337 
 
 9 379 
 
 99 
 
 N. 
 
 9506 
 
 9928 
 1 
 
 0349 
 2 
 
 0771 
 
 3 
 
 1193 
 
 4 
 
 1614 
 5 
 
 2036 
 
 6 
 
 2458 
 7 
 
 2879 
 
 8 
 
 3301 
 
 9 
 
 
 
 
 D 
 
 Pts. 
 
(192*) 
 
 
 LOGARITHMS 
 
 
 N. 
 
 1030 L.OJ28 
 
 N. 
 
 
 
 01283723 
 
 1 
 
 4144 
 
 4566 
 
 3 
 
 4987 
 
 4 
 
 5409 
 
 6 
 
 5831 
 
 6 
 
 6252 
 
 7 
 
 6674 
 
 8 
 
 7095 
 
 9 
 
 7517 
 
 D 
 
 Pro. 
 
 10300 
 
 
 01 
 
 7939 
 
 8360 
 
 8782 
 
 9204 
 
 9625 
 
 (5047 
 
 0468 
 
 0890 
 
 1311 
 
 1733 
 
 422 
 
 422 
 
 02 
 
 01292155 
 
 2576 
 
 2998 
 
 3419 
 
 3841 
 
 4262 
 
 4684 
 
 5105 
 
 5527 
 
 5949 
 
 
 1 42 
 
 03 
 
 6370 
 
 6792 
 
 7213 
 
 7635 
 
 8056 
 
 8478 
 
 8899 
 
 9321 
 
 9742 
 
 0164 
 
 
 2 84 
 
 3 127 
 
 4 1G9 
 
 04 
 
 01300585 
 
 1006 
 
 1428 
 
 1849 
 
 2271 
 
 2692 
 
 3114 
 
 3535 
 
 3957 
 
 4378 
 
 
 05 
 
 4800 
 
 5221 
 
 5642 
 
 6064 
 
 6485 
 
 6907 
 
 7328 
 
 7750 
 
 8171 
 
 8592 
 
 
 5|211 
 
 06 
 
 9014 
 
 9435 
 
 9857 
 
 0278 
 
 0699 
 
 1121 
 
 1542 
 
 1964 
 
 2385 
 
 2806 
 
 
 6' 253 
 
 7 295 
 
 07 
 
 01313228 
 
 3649 
 
 4070 
 
 4492 
 
 4913 
 
 5334 
 
 5756 
 
 6177 
 
 6598 
 
 7020 
 
 
 8 338 
 
 08 
 
 7441 
 
 7862 
 
 8284 
 
 8705 
 
 9126 
 
 9548 
 
 9969 
 
 0390 
 
 0811 
 
 1233 
 
 
 9 380 
 
 09 
 
 01321654 
 
 2075 
 
 2497 
 
 2918 
 
 3339 
 
 3760 
 
 4182 
 
 4603 
 
 5024 
 
 5445 
 
 
 
 10310 
 
 5867 
 
 6288 
 
 6709 
 
 7130 
 
 7551 
 
 7973 
 
 8394 
 
 8815 
 
 9236 
 
 9657 
 
 
 
 11 
 
 01330079 
 
 0500 
 
 0921 
 
 1342 
 
 1763 
 
 2185 
 
 2606 
 
 3027 
 
 3448 
 
 3869 
 
 
 
 12 
 
 4290 
 
 4712 
 
 5133 
 
 5554 
 
 5975 
 
 6396 
 
 6817 
 
 7238 
 
 7659 
 
 8081 
 
 
 
 13 
 
 8502 
 
 8923 
 
 9344 
 
 9765 
 
 0186 
 
 0607 
 
 1028 
 
 1450 
 
 1871 
 
 2292 
 
 
 
 14 
 
 01342713 
 
 3134 
 
 3555 
 
 3976 
 
 4397 
 
 4818 
 
 5239 
 
 5660 
 
 6081 
 
 6502 
 
 
 
 15 
 
 6923 
 
 7344 
 
 7765 
 
 8186 
 
 8607 
 
 9028 
 
 9449 
 
 9870 
 
 0291 
 
 0712 
 
 
 ^ 
 
 16 
 
 01351133 
 
 1554 
 
 1975 
 
 2396 
 
 2817 
 
 3238 
 
 3659 
 
 4080 
 
 4501 
 
 4922 
 
 
 
 17 
 
 5343 
 
 5764 
 
 6185 
 
 6606 
 
 7027 
 
 7448 
 
 7869 
 
 8290 
 
 8711 
 
 9131 
 
 
 
 18 
 
 9552 
 
 9973 
 
 0394 
 
 0815 
 
 1236 
 
 1657 
 
 2078 
 
 2499 
 
 2920 
 
 3340 
 
 
 
 19 
 
 01363761 
 
 4182 
 
 4603 
 
 5024 
 
 5445 
 
 5866 
 
 6286 
 
 6707 
 
 7128 
 
 7549 
 
 
 
 10320 
 
 7970 
 
 8391 
 
 8811 
 
 9232 
 
 9653 
 
 0074 
 
 0495 
 
 0915 
 
 1336 
 
 1757 
 
 
 
 21 
 
 01372178 
 
 2599 
 
 3019 
 
 3440 
 
 3861 
 
 4282 
 
 4702 
 
 5123 
 
 5544 
 
 5965 
 
 421 
 
 421 
 
 22 
 
 6386 
 
 6806 
 
 7227 
 
 7648 
 
 8068 
 
 8489 
 
 8910 
 
 9331 
 
 9751 
 
 0172 
 
 
 1 42 
 
 23 
 
 01380593 
 
 1013 
 
 1434 
 
 1855 
 
 2276 
 
 2696 
 
 3117 
 
 3538 
 
 3958 
 
 4379 
 
 
 2 84 
 
 24 
 
 4800 
 
 5220 
 
 5641 
 
 6062 
 
 6482 
 
 6903 
 
 7324 
 
 7744 
 
 8165 
 
 8585 
 
 
 3 126 
 
 4 168 
 
 25 
 
 9006 
 
 9427 
 
 9847 
 
 0268 
 
 0688 
 
 1109 
 
 1530 
 
 1950 
 
 2371 
 
 2791 
 
 
 5210 
 
 26 
 
 01393212 
 
 3633 
 
 4053 
 
 4474 
 
 4894 
 
 5315 
 
 5735 
 
 6156 
 
 6577 
 
 6997 
 
 
 6 253 
 
 27 
 
 7418 
 
 7838 
 
 8259 
 
 8679 
 
 9100 
 
 9520 
 
 9941 
 
 0361 
 
 0782 
 
 1202 
 
 
 7 295 
 
 8 337 
 
 9 379 
 
 28 
 
 01401623 
 
 2043 
 
 2464 
 
 2884 
 
 3305 
 
 3725 
 
 4146 
 
 4566 
 
 4987 
 
 5407 
 
 
 29 
 
 5828 
 
 6248 
 
 6669 
 
 7089 
 
 7509 
 
 7930 
 
 8350 
 
 8771 
 
 9191 
 
 9612 
 
 
 
 10330 
 
 01410032 
 
 0453 
 
 0873 
 
 1293 
 
 1714 
 
 2134 
 
 2555 
 
 2975 
 
 3395 
 
 3816 
 
 
 
 31 
 
 4236 
 
 4656 
 
 5077 
 
 5497 
 
 5918 
 
 6338 
 
 6758 
 
 7179 
 
 7599 
 
 8019 
 
 
 
 32 
 
 8440 
 
 8860 
 
 9280 
 
 9701 
 
 0121 
 
 0541 
 
 0962 
 
 1382 
 
 1802 
 
 2223 
 
 
 
 33 
 
 01422643 
 
 3063 
 
 3484 
 
 3904 
 
 4324 
 
 4744 
 
 5165 
 
 5585 
 
 6005 
 
 6425 
 
 
 
 34 
 
 6846 
 
 7266 
 
 7686 
 
 8106 
 
 8527 
 
 8947 
 
 9367 
 
 9787 
 
 0208 
 
 0628 
 
 
 
 35 
 
 01431048 
 
 1468 
 
 1889 
 
 2309 
 
 2729 
 
 3149 
 
 3569 
 
 3990 
 
 4410 
 
 4830 
 
 
 
 36 
 
 5250 
 
 5670 
 
 6090 
 
 6511 
 
 6931 
 
 7351 
 
 7771 
 
 8191 
 
 8611 
 
 9032 
 
 
 
 37 
 
 9452 
 
 9872 
 
 0292 
 
 0712 
 
 1132 
 
 1552 
 
 1972 
 
 2393 
 
 2813 
 
 3233 
 
 
 
 38 
 
 01448653 
 
 4073 
 
 4493 
 
 4913 
 
 5333 
 
 5753 
 
 6173 
 
 6593 
 
 7013 
 
 7433 
 
 
 
 39 
 
 7854 
 
 8274 
 
 8694 
 
 9114 
 
 9534 
 
 9954 
 
 0374 
 
 0794 
 
 1214 
 
 1634 
 
 
 
 10340 
 
 01452054 
 
 2474 
 
 2894 
 
 3314 
 
 3734 
 
 4154 
 
 4574 
 
 4994 
 
 5414 
 
 5834 
 
 
 
 41 
 
 6254 
 
 6674 
 
 7094 
 
 7514 
 
 7934 
 
 8354 
 
 8774 
 
 9193 
 
 9613 
 
 0033 
 
 
 
 42 
 
 01460453 
 
 0873 
 
 1293 
 
 1713 
 
 2133 
 
 2553 
 
 2973 
 
 3393 
 
 3813 
 
 4233 
 
 420 
 
 420 
 
 43 
 
 4653 
 
 5072 
 
 5492 
 
 5912 
 
 6332 
 
 6752 
 
 7172 
 
 7592 
 
 8012 
 
 8431 
 
 
 1 42 
 
 44 
 
 8851 
 
 9271 
 
 9691 
 
 0111 
 
 0530 
 
 0950 
 
 1370 
 
 1790 
 
 2210 
 
 2630 
 
 
 2 84 
 
 3 126 
 
 45 
 
 01473049 
 
 3469 
 
 3889 
 
 4309 
 
 4729 
 
 5149 
 
 5568 
 
 5988 
 
 6408 
 
 6828 
 
 
 4 168 
 
 46 
 
 7247 
 
 7667 
 
 8087 
 
 8507 
 
 8926 
 
 9346 
 
 9766 
 
 0186 
 
 0605 
 
 1025 
 
 
 5 21Q 
 
 47 
 
 01481445 
 
 1865 
 
 2284 
 
 2704 
 
 3124 
 
 3544 
 
 3963 
 
 4383 
 
 4803 
 
 5222 
 
 
 S 252 
 7 294 
 
 48 
 
 5642 
 
 6062 
 
 6481 
 
 6901 
 
 7321 
 
 7740 
 
 8160 
 
 8580 
 
 8999 
 
 9419 
 
 
 3 336 
 
 49 
 
 9839 
 
 0258 
 1 
 
 0678 1098] 
 
 1517 
 
 1937 
 
 2357 
 
 2776 
 7 
 
 3196 
 *8 
 
 3615 
 
 9 
 
 ' 
 
 3 378. 
 
 1 N. 
 
 
 
 2 
 
 3 ! 
 
 4 
 
 ^^ 
 
 6 
 
 D 
 
 Ptii 
 
X. 1035 L. 0149 OF NUMBERS. (1.93*) 
 
 N. 
 
 
 
 01494035 
 
 1 
 
 4455 
 
 2 
 
 4874 
 
 3 
 
 4 
 
 5713 
 
 5 
 
 6133 
 
 6 
 
 6553 
 
 7 
 
 6972 
 
 8 
 
 7392 
 
 9 
 
 7811 
 
 D 
 
 Pro. 
 
 10350 
 
 5294 
 
 51 
 
 8231 
 
 8651 
 
 9070 
 
 9490 
 
 9909 
 
 0329 
 
 0748 
 
 1168 
 
 1587 
 
 2007 
 
 419 
 
 419 
 
 52 
 
 01502426 
 
 2846 
 
 3265 
 
 3685 
 
 4104 
 
 4524 
 
 4943 
 
 5363 
 
 5782 
 
 6202 
 
 
 1 42 
 
 53 
 
 6621 
 
 7041 
 
 7460 
 
 7880 
 
 8299 
 
 8719 
 
 9138 
 
 9558 
 
 9977 
 
 0397 
 
 
 2 84 
 
 3 126 
 
 4 168 
 
 54 
 
 01510816 
 
 1236 
 
 1655 
 
 2074 
 
 2494 
 
 29 1 3 
 
 3333 
 
 3752 
 
 4172 
 
 4591 
 
 
 55 
 
 5010 
 
 5430 
 
 5849 
 
 6269 
 
 6688 
 
 7107 
 
 7527 
 
 7946 
 
 8366 
 
 8785 
 
 
 5 209 
 
 56 
 
 9204 
 
 9624 
 
 n043 
 
 0462 
 
 0882 
 
 1301 
 
 1720 
 
 2140 
 
 2559 
 
 2978 
 
 
 6 25 1 
 
 7 2.93 
 
 8 335 
 
 57 
 
 01523398 
 
 3817 
 
 4236 
 
 4656 
 
 5075 
 
 5494 
 
 5913 
 
 6333 
 
 6752 
 
 7171 
 
 
 58 
 
 7591 
 
 8010 
 
 8429 
 
 8848 
 
 9268 
 
 9687 
 
 0106 
 
 0525 
 
 0945 
 
 1 364 
 
 
 y 377 
 
 59 
 
 01531733 
 
 2203 
 
 2622 
 
 3041 
 
 3460 
 
 3879 
 
 4299 
 
 4718 
 
 5137 
 
 5556 
 
 
 
 1 0,'360 
 
 -5976 
 
 6395 
 
 6814 
 
 7233 
 
 7652 
 
 8071 
 
 8491 
 
 8910 
 
 9329 
 
 9748 
 
 
 
 61 
 
 01540167 
 
 0587 
 
 1006 
 
 1425 
 
 1844 
 
 2263 
 
 2682 
 
 3101 
 
 3520 
 
 3940 
 
 
 
 62 
 
 4359 
 
 4778 
 
 5197 
 
 5616 
 
 6035 
 
 6454 
 
 6873 
 
 7293 
 
 7712 
 
 8131 
 
 
 
 63 
 
 8550 
 
 8969 
 
 9388 
 
 9807 
 
 0226 
 
 0645 
 
 1064 
 
 1483 
 
 1902 
 
 2321 
 
 
 
 64 
 
 01552740 
 
 3159 
 
 3578 
 
 3997 
 
 4416 
 
 4836 
 
 5255 
 
 5674 
 
 6093 
 
 6512 
 
 
 
 65 
 
 6931 
 
 7350 
 
 7769 
 
 8188 
 
 8607 
 
 9026 
 
 9445 
 
 9864 
 
 0283 
 
 0702 
 
 
 
 66 
 
 01561120 
 
 1539 
 
 1958 
 
 2377 
 
 2796 
 
 3215 
 
 3634 
 
 4053 
 
 4472 
 
 4891 
 
 
 
 67 
 
 5310 
 
 5729 
 
 6148 
 
 6567 
 
 6985 
 
 7404 
 
 7823 
 
 8242 
 
 8661 
 
 9080 
 
 
 
 68 
 
 9499 
 
 9918 
 
 0337 
 
 0755 
 
 1174 
 
 1593 
 
 2012 
 
 2431 
 
 2850 
 
 3269 
 
 
 
 69 
 
 01573688 
 
 4106 
 
 4525 
 
 4944 
 
 5363 
 
 5782 
 
 6200 
 
 6619 
 
 7038 
 
 7457 
 
 
 
 10370 
 
 7876 
 
 8294 
 
 8713 
 
 9132 
 
 9551 
 
 9970 
 
 0388 
 
 0807 
 
 1226 
 
 1645 
 
 
 
 71 
 
 01582063 
 
 2482 
 
 2901 
 
 3320 
 
 3738 
 
 4157 
 
 4576 
 
 4995 
 
 5413 
 
 5832 
 
 418 
 
 418 
 
 72 
 
 6251 
 
 6670 
 
 7088 
 
 7507 
 
 7926 
 
 8344 
 
 8763 
 
 9182 
 
 9600 
 
 0019 
 
 
 ] 42 
 
 73 
 
 01590438 
 
 0857 
 
 1275 
 
 1694 
 
 2113 
 
 2531 
 
 2950 
 
 3369 
 
 3787 
 
 4206 
 
 
 2 84 
 
 3 125 
 
 4 167 
 
 74 
 
 4625 
 
 5043 
 
 5462 
 
 5880 
 
 6299 
 
 6718 
 
 7136 
 
 7555 
 
 7973 
 
 8392 
 
 
 75 
 
 8811 
 
 9229 
 
 9648 
 
 0066 
 
 0485 
 
 0903 
 
 1322 
 
 1741 
 
 2159 
 
 2578 
 
 
 5 209 
 
 76 
 
 01602996 
 
 3415 
 
 3833 
 
 4252 
 
 4670 
 
 5089 
 
 5508 
 
 5926 
 
 6345 
 
 6763 
 
 
 6 251 
 
 7 293 
 
 8 334 
 
 77 
 
 7182 
 
 7600 
 
 8019 
 
 8437 
 
 8856 
 
 9274 
 
 9693 
 
 0111 
 
 0530 
 
 0948 
 
 
 •■. 78 
 
 0161 J367 
 
 1785 
 
 2204 
 
 2622 
 
 3041 
 
 3459 
 
 3877 
 
 4296 
 
 4714 
 
 5133 
 
 
 9 376 
 
 79 
 
 5551 
 
 5970 
 
 6.388 
 
 6806 
 
 7225 
 
 7643 
 
 8062 
 
 8480 
 
 8899 
 
 9317 
 
 
 
 10380 
 
 9735 
 
 0154 
 
 0572 
 
 0990 
 
 1409 
 
 1827 
 
 2246 
 
 2664 
 
 3082 
 
 3501 
 
 
 
 81 
 
 01623919 
 
 4337 
 
 4756 
 
 5174 
 
 5592 
 
 6011 
 
 6429 
 
 684r 
 
 x7266 
 
 7684 
 
 
 
 82 
 
 8102 
 
 8521 
 
 8939 
 
 9357 
 
 9776 
 
 0194 
 
 0612 
 
 1031 
 
 1449 
 
 1867 
 
 
 
 83 
 
 01632285 
 
 2704 
 
 3122 
 
 3540 
 
 3959 
 
 4377 
 
 4795 
 
 5213 
 
 5632 
 
 6050^ 
 
 
 
 84 
 
 6468 
 
 6886 
 
 7304 
 
 7723 
 
 8141 
 
 8559 
 
 8977 
 
 9395 
 
 9814 
 
 0232 
 
 
 
 85 
 
 01640650 
 
 1068 
 
 1487 
 
 1905 
 
 2323 
 
 2741 
 
 3159 
 
 3577 
 
 3996 
 
 4414 
 
 
 
 86 
 
 4832 
 
 5250 
 
 5668 
 
 6086 
 
 6504 
 
 6922 
 
 7341 
 
 7759 
 
 8177 
 
 8595 
 
 
 
 87 
 
 9013 
 
 9431 
 
 9849 
 
 0268 
 
 0686 
 
 1104 
 
 1522 
 
 1910 
 
 2358 
 
 2776 
 
 
 
 88 
 
 01653194 
 
 3612 
 
 4030 
 
 4448 
 
 4866 
 
 5284 
 
 5702 
 
 6120 
 
 6539 
 
 6957 
 
 
 
 89 
 
 7375 
 
 7793 
 
 8211 
 
 8629 
 
 9047 
 
 9465 
 
 9883 
 
 0301 
 
 0719 
 
 1137 
 
 
 
 10390 
 
 01661555 
 
 1973 
 
 2391 
 
 2809 
 
 3227 
 
 3645 
 
 4063 
 
 4481. 
 
 4899 
 
 5317 
 
 
 
 91 
 
 5735 
 
 6152 
 
 6570 
 
 6988 
 
 7406 
 
 7824 
 
 8242 
 
 8660 
 
 9078 
 
 9496 
 
 
 
 92 
 
 9914 
 
 0332 
 
 0750 
 
 1168 
 
 1585 
 
 2003 
 
 2421 
 
 2839 
 
 3257 
 
 3675 
 
 417 
 
 417 
 
 93 
 
 01674093 
 
 4511 
 
 4928 
 
 5346 
 
 5764 
 
 6182 
 
 6600 
 
 7018 
 
 7436 
 
 7853 
 
 
 )j42 
 
 94 
 
 8271 
 
 8689 
 
 9107 
 
 9525 
 
 9942 
 
 0360 
 
 0778 
 
 1196 
 
 1614 
 
 2031 
 
 
 2 83 
 
 3 125 
 
 4 167 
 
 95 
 
 01682449 
 
 2867 
 
 3285 
 
 3703 
 
 4121 
 
 4538 
 
 4956 
 
 5374 
 
 5792 
 
 6209 
 
 
 96 
 
 6627 
 
 7045 
 
 7463 
 
 7880 
 
 8298 
 
 8716 
 
 9134 
 
 9551 
 
 9969 
 
 0387 
 
 
 ', 208 
 
 97 
 
 01690804 
 
 1222 
 
 1640 
 
 2058 
 
 2475 
 
 2893 
 
 3311 
 
 3728 
 
 4146 
 
 4563 
 
 
 6 250 
 
 98 
 
 4981 
 
 5399 
 
 5817 
 
 6234 
 
 6652 
 
 7070 
 
 7487 
 
 7905 
 
 8323 
 
 8740 
 
 
 7 292 
 R 334 
 
 99 
 
 N. 
 
 9158 
 
 9575 
 
 9993 
 2 
 
 0411 
 
 0828 
 
 4 
 
 1246 
 
 5 
 
 1663 
 
 ~6~ 
 
 2081 
 
 2499 
 
 8 
 
 2916 
 
 9 
 
 Dl 
 
 9 375 
 
 Pts. 
 
 
 
 1 
 
 3 . 
 
 7 . 
 
(19^ 
 
 LOGARITHMS 
 
 N.]04() 
 
 N. 
 
 1 
 
 i 01. )0 
 
 01703334 
 
 01 
 
 7510 
 
 02 
 
 01711685 
 
 03 
 
 5860 
 
 04 
 
 01720034 
 
 05 
 
 4208 
 
 06 
 
 8382 
 
 07 
 
 01732556 
 
 08 
 
 6728 
 
 09 
 
 01740901 
 
 10410 
 
 5073 
 
 11 
 
 9245 
 
 12 
 
 01753416 
 
 13 
 
 7587 
 
 14 
 
 01761757 
 
 15 
 
 5927 
 
 16 
 
 01770097 
 
 17 
 
 4266 
 
 18 
 
 8435 
 
 19 
 
 01782604 
 
 10420 
 
 6772 
 
 21 
 
 01790940 
 
 22 
 
 5107 
 
 23 
 
 9274 
 
 24 
 
 01803440 
 
 25 
 
 7606 
 
 26 
 
 01811772 
 
 27 
 
 5937 
 
 28 
 
 01820102 
 
 29 
 
 4267 
 
 10430 
 
 8431 
 
 31 
 
 01832595 
 
 32 
 
 6758 
 
 33 
 
 01840921 
 
 34 
 
 5083 
 
 35 
 
 9245 
 
 36 
 
 01853407 
 
 37 
 
 7568 
 
 38 
 
 01861729 
 
 39 
 
 5890 
 
 10440 
 
 01870050 
 
 41 
 
 4210 
 
 42 
 
 8369 
 
 43 
 
 01382528 
 
 44 
 
 668,6 
 
 45 
 
 01890S44 
 
 40 
 
 5002 
 
 47 
 
 9159 
 
 48 
 
 01903316 
 
 49 
 
 7473 
 
 N. 
 
 
 
 3752 
 7927 
 2102 
 6277 
 0452 
 
 4626 
 8800 
 2973 
 7146 
 1318 
 
 5490 
 9662 
 3833 
 8004 
 2174 
 
 6344 
 0514 
 4683 
 8852 
 3021 
 
 7189 
 1356 
 5524 
 9690 
 3857 
 
 8023 
 2189 
 6354 
 0519 
 4683 
 
 8847 
 3011 
 7174 
 337 
 5499 
 9662 
 3823 
 7984 
 2145 
 6306 
 
 0466 
 4626 
 8785 
 2944 
 7102 
 
 1260 
 
 5418 
 9575 
 3732 
 
 7889 
 
 _2_ 
 
 4169 
 8345 
 2520 
 6695 
 0869 
 5043 
 9217 
 3390 
 7563 
 1735 
 
 5907 
 0079 
 4250 
 8421 
 2591 
 
 6761 
 0931 
 5100 
 9269 
 3437 
 
 7606 
 1773 
 5940 
 0107 
 
 4274 
 
 8440 
 2605 
 6770 
 0935 
 5100 
 
 9264 
 3427 
 7590 
 1753 
 5916 
 
 0078 
 4239 
 8401 
 2561 
 6722 
 
 0882 
 5041 
 9201 
 3360 
 7518 
 
 1676 
 5834 
 9991 
 4148 
 8304 
 
 4587 
 8762 
 2937 
 7112 
 1287 
 
 5461 
 9634 
 3807 
 7980 
 2152 
 
 6324 
 0496 
 4667 
 8838 
 3008 
 7178 
 1348 
 5517 
 9686 
 3854 
 
 8022 
 2190 
 6357 
 0524 
 4690 
 
 8856 
 3022 
 7187 
 1352 
 5516 
 
 9680 
 3844 
 8007 
 2169 
 6332 
 
 0494 
 4655 
 8817 
 2977 
 7138 
 
 1298 
 5457 
 9617 
 3775 
 7934 
 
 2092 
 6249 
 0407 
 4563 
 8720 
 
 5004 
 9180 
 3355 
 7530 
 1704 
 
 5878 
 0052 
 4225 
 8397 
 2570 
 
 6742 
 0913 
 5084 
 9255 
 3425 
 
 7595 
 1765 
 5934 
 0103 
 4271 
 
 8439 
 2607 
 6774 
 0940 
 5107 
 
 ^27 3 
 
 3438 
 7603 
 1768 
 5932 
 
 0096 
 4260 
 8423 
 2586 
 6748 
 
 0910 
 5072 
 9233 
 3393 
 7554 
 
 I7I4 
 5873 
 0033 
 4191 
 8350 
 
 2508 
 6665 
 0822 
 4979 
 9135 
 
 4 
 
 5422 
 9597 
 3772 
 7947 
 2121 
 
 6295 
 0469 
 4642 
 
 8815 
 2987 
 
 7159 
 1330 
 5501 
 9672 
 3842 
 
 8012 
 2182 
 6351 
 0520 
 4688 
 
 8856 
 3023 
 7190 
 1357 
 5523 
 
 9689 
 3855 
 8020 
 2185 
 6349 
 
 0513 
 4676 
 8839 
 3002 
 7164 
 
 1326 
 
 5488 
 9649 
 3809 
 7970 
 
 2130 
 6289 
 0448 
 4607 
 8765 
 
 2923 
 7081 
 1238 
 5395 
 9551 
 
 6 
 
 5839 
 0015 
 4190 
 8365 
 2539 
 
 6713 
 0886 
 5059 
 9232 
 3404 
 
 7576 
 1747 
 5919 
 0089 
 4259 
 
 8429 
 2599 
 6768 
 0936 
 5105 
 
 9273 
 3440 
 7607 
 1774 
 5940 
 
 Sl06 
 4271 
 8436 
 2601 
 6765 
 
 0929 
 5092 
 9256 
 3418 
 7580 
 
 1742 
 5904 
 0065 
 4226 
 8386 
 
 2546 
 6705 
 0864 
 5023 
 9181 
 
 3339 
 7497 
 1654 
 5810 
 
 9967 
 
 6257 
 0432 
 4607 
 
 8782 
 2956 
 
 7130 
 1304 
 5477 
 9649 
 3821 
 
 7993 
 2165 
 6336 
 0506 
 4676 
 
 8846 
 30 le 
 7185 
 1353 
 5521 
 
 9689 
 3857 
 8024 
 2190 
 6357 
 
 0522 
 4688 
 8853 
 3017 
 7182 
 
 1345 
 5509 
 9672 
 3834 
 7997 
 
 2159 
 6320 
 0481 
 4642 
 8802 
 
 2962 
 7121 
 1280 
 5439 
 9597 
 
 3755 
 7912 
 2069 
 6226 
 0382 
 
 8 
 
 6675 
 0850 
 5025 
 9199 
 3374 
 
 7547 
 1721 
 5894 
 0066 
 4238 
 
 8410 
 2582 
 6753 
 0923 
 5093 
 
 9263 
 3433 
 7602 
 1770 
 5938 
 
 0106 
 4273 
 8441 
 2607 
 6773 
 0939 
 5104 
 9269 
 3434 
 7598 
 
 1762 
 5925 
 0088 
 4251 
 
 8413 
 
 2575 
 6736 
 0897 
 5058 
 9218 
 
 3378 
 7537 
 1696 
 5855 
 0013 
 
 4171 
 8328 
 2485 
 6642 
 0798 
 
 8 
 
 9_ 
 
 7092 
 1267 
 5442 
 9617 
 3791 
 
 7965 
 2138 
 6311 
 0484 
 4656 
 
 8827 
 2999 
 7170 
 1340 
 5510 
 
 9680 
 3850 
 8019 
 2187 
 6355 
 
 0523 
 4690 
 8857 
 3024 
 7190 
 
 1356 
 5521 
 9686 
 3850 
 8014 
 
 2178 
 6342 
 0505 
 4667 
 8829 
 
 2991 
 7152 
 1313 
 
 5474 
 9634 
 
 3794 
 7953 
 2112 
 6270 
 0429 
 
 4586 
 8744 
 2901 
 7057 
 1213 
 
N.1045L.0191 OF NUMBERS. (Ip.^*) 
 
 N. 
 
 1045G 
 
 
 
 i 
 
 2045 
 
 2 
 
 2460 
 
 3 
 
 2876 
 
 4 
 
 329 1 
 
 5 
 
 3707 
 
 6 
 
 412Si 
 
 7 
 
 8 
 
 4954 
 
 9 
 
 5369 
 
 D 
 
 Pro. 
 
 01911629 
 
 4538 
 
 51 
 
 5785 
 
 6200 
 
 6616 
 
 7031 
 
 7447 
 
 7862 
 
 I 8278 
 
 8694 
 
 9109 
 
 9525 
 
 415 
 
 415 
 
 52 
 
 994C 
 
 0356 
 
 0771 
 
 1187 
 
 1602 
 
 201 g 
 
 2433 
 
 2849 
 
 3264 
 
 3680 
 
 
 1 41 
 
 53 
 
 01924095 
 
 4510 
 
 4926 
 
 5341 
 
 5757 
 
 6172 
 
 ' 6588 
 
 7003 
 
 7419 
 
 7834 
 
 
 2 83 
 
 3 124 
 
 4i l.6'6' 
 
 54 
 
 825C 
 
 8665 
 
 9080 
 
 9496 
 
 9911 
 
 0327 
 
 0742 
 
 1157 
 
 1573 
 
 1988 
 
 
 55 
 
 01932404 
 
 2819 
 
 3235 
 
 3650 
 
 4065 
 
 4481 
 
 4896 
 
 5311 
 
 5727 
 
 6142 
 
 
 5 207 
 
 56 
 
 6557 
 
 6973 
 
 7388 
 
 7804 
 
 8219 
 
 S634 
 
 9050 
 
 9465 
 
 9880 
 
 0296 
 
 
 6 249 
 
 7 2<J0 
 
 8 3 3 '2 
 
 57 
 
 01940711 
 
 1126 
 
 1541 
 
 1957 
 
 2372 
 
 2787 
 
 3203 
 
 3618 
 
 4033 
 
 4449 
 
 
 58 
 
 4864 
 
 5279 
 
 5694 
 
 6109 
 
 6525 
 
 6940 
 
 7355 
 
 7770 
 
 8186 
 
 8601 
 
 
 !) 373 
 
 59 
 
 9016 
 
 9432 
 
 9847 
 
 0262 
 
 0677 
 
 1092 
 
 1508 
 
 1923 
 
 2338 
 
 2753 
 
 
 
 10460 
 
 01953168 
 
 3584 
 
 3999 
 
 4414 
 
 4829 
 
 5244 
 
 5659 
 
 6075 
 
 6490 
 
 6905 
 
 
 
 61 
 
 7320 
 
 7735 
 
 8150 
 
 8566 
 
 8981 
 
 9396 
 
 9811 
 
 0226 
 
 0641 
 
 1056 
 
 
 
 62 
 
 01961472 
 
 1887 
 
 2302 
 
 2717 
 
 3132 
 
 3547 
 
 3962 
 
 4377 
 
 4792 
 
 5208 
 
 
 
 63 
 
 5623 
 
 6038 
 
 6453 
 
 6868 
 
 7283 
 
 7698 
 
 8113 
 
 8528 
 
 8943 
 
 9358 
 
 
 
 64 
 
 9773 
 
 0188 
 
 0603 
 
 1018 
 
 1433 
 
 1848 
 
 2263 
 
 2678 
 
 3093 
 
 3508 
 
 
 
 65 
 
 01973923 
 
 4338 
 
 4753 
 
 5168 
 
 5583 
 
 5998 
 
 6413 
 
 6828 
 
 7243 
 
 7658 
 
 
 
 66 
 
 8073 
 
 8488 
 
 8903 
 
 9318 
 
 9733 
 
 0148 
 
 0563 
 
 0978 
 
 1393 
 
 1807 
 
 
 
 67 
 
 01982222 
 
 2637 
 
 3052 
 
 3467 
 
 3882 
 
 4297 
 
 4712 
 
 5127 
 
 5542 
 
 5957 
 
 
 
 68 
 
 6371 
 
 6786 
 
 7201 
 
 7616 
 
 8031 
 
 8446 
 
 8861 
 
 9275 
 
 9690 
 
 0105 
 
 
 
 69 
 
 01990520 
 
 0935 
 
 1350 
 
 1764 
 
 2179 
 
 2594 
 
 3009 
 
 3424 
 
 3838 
 
 4253 
 
 
 
 10470 
 
 4668 
 
 5083 
 
 5498 
 
 5913 
 
 632t 
 
 6742 
 
 7157 
 
 7572 
 
 7987 
 
 8401 
 
 
 
 71 
 
 8816 
 
 9231 
 
 9645 
 
 0060 
 
 0475 
 
 0890 
 
 1304 
 
 1719 
 
 2J34 
 
 2549 
 
 414 
 
 414 
 
 72 
 
 02002963 
 
 3378 
 
 3793 
 
 4207 
 
 4622 
 
 5037 
 
 5452 
 
 5866 
 
 6281 
 
 6696 
 
 
 1 41 
 
 73 
 
 7110 
 
 7525 
 
 7940 
 
 8354 
 
 8769 
 
 9184 
 
 9598 
 
 0013 
 
 0428 
 
 0842 
 
 
 2 83 
 
 74 
 
 02011257 
 
 1672 
 
 2086 
 
 2501 
 
 2916 
 
 3330 
 
 3745 
 
 4159 
 
 4574 
 
 4989 
 
 
 3 124 
 
 4 \GG 
 
 5'JU7 
 
 75 
 
 5403 
 
 5818 
 
 6232 
 
 6647 
 
 7062 
 
 7476 
 
 7891 
 
 8305. 
 
 8720 
 
 9135 
 
 
 76 
 
 9549 
 
 9964 
 
 0378 
 
 0793 
 
 1207 
 
 1622 
 
 2036 
 
 2451 
 
 2865 
 
 3280 
 
 
 6 248 
 
 77 
 
 02023694 
 
 4109 
 
 4523 
 
 4938 
 
 5352 
 
 5767 
 
 6181 
 
 6596 
 
 7010 
 
 7425 
 
 
 7 2[}0 
 
 78 
 
 7839 
 
 8254 
 
 8668 
 
 9083 
 
 9497 
 
 9912 
 
 0326 
 
 0741 
 
 1155 
 
 1570 
 
 
 8 331 
 
 9 373 
 
 79 
 
 02031984 
 
 2399 
 
 2813 
 
 3227 
 
 3642 
 
 4056 
 
 4471 
 
 4885 
 
 5299 
 
 5714 
 
 
 10480 
 
 6128 
 
 6543 
 
 6957 
 
 7372 
 
 7786 
 
 8200 
 
 8615 
 
 9029 
 
 9444 
 
 9858 
 
 
 
 81 
 
 02040272 
 
 0687 
 
 1101 
 
 1515 
 
 1930 
 
 2344 
 
 2758 
 
 3173 
 
 3587 
 
 4001 
 
 
 
 82 
 
 4416 
 
 4830 
 
 5244 
 
 5658 
 
 6073 
 
 6487 
 
 6901 
 
 7316 
 
 7730 
 
 8144 
 
 
 
 83 
 
 8559 
 
 8973 
 
 9387 
 
 980] 
 
 0216 
 
 06S0 
 
 1044 
 
 1458 
 
 1873 
 
 2287 
 
 
 
 84 
 
 02052701 
 
 3116 
 
 3530 
 
 3944 
 
 4358 
 
 4772 
 
 5187 
 
 5601 
 
 6015 
 
 6429 
 
 
 
 85 
 
 6843 
 
 7258 
 
 7672 
 
 8086 
 
 8500 
 
 8915 
 
 9329 
 
 9743 
 
 0157 
 
 0571 
 
 
 
 86 
 
 02060985 
 
 1400 
 
 1814 
 
 2228 
 
 2642 
 
 3056 
 
 3470 
 
 3884 
 
 4299 
 
 4713 
 
 
 
 87 
 
 5127 
 
 5541 
 
 5955 
 
 6369 
 
 6783 
 
 7197 
 
 7612 
 
 8026 
 
 8440 
 
 8854 
 
 
 
 88 
 
 9268 
 
 9682 
 
 5096 
 
 0510 
 
 0924 
 
 1338 
 
 1752 
 
 2166 
 
 2581 
 
 2995 
 
 
 
 89 
 
 02073409 
 
 3823 
 
 4237 
 
 4651 
 
 5065 
 
 5479 
 
 5893 
 
 6307 
 
 6721 
 
 7135 
 
 
 
 10490 
 
 7549 
 
 7963 
 
 8377 
 
 8791 
 
 9205 
 
 9619 
 
 0033 
 
 0447 
 
 0861 
 
 1275 
 
 
 
 91 
 
 02081689 
 
 2103 
 
 2517 
 
 2931 
 
 3345 
 
 3759 
 
 4173 
 
 4587 
 
 5000 
 
 5414 
 
 
 
 92 
 
 5828 
 
 6242 
 
 6656 
 
 7070 
 
 7484 
 
 7898 
 
 8312 
 
 8726 
 
 9140 
 
 9553 
 
 413 
 
 413 
 
 93 
 
 9967 
 
 ^381 
 
 0795 
 
 1209 
 
 1623 
 
 2037 
 
 2451 
 
 2864 
 
 3278 
 
 3692 
 
 
 I 41 
 
 94 ( 
 
 32094106 
 
 4520 
 
 4934 
 
 5347 
 
 5761 
 
 6175 
 
 6589 
 
 7003 
 
 7417 
 
 7831 
 
 
 2 83 
 
 3 124 
 i 165 
 
 95 
 
 8244 
 
 8658 
 
 9072 
 
 9486 
 
 9900 
 
 0313 
 
 0727 
 
 1141 
 
 1555 
 
 1969 
 
 
 96 ( 
 
 32102382 
 
 2796 
 
 3210 
 
 3624 
 
 4037 
 
 4451 
 
 4865 
 
 5279 
 
 5692 
 
 6106 
 
 
 ^)206 
 
 97 
 
 6520 
 
 6934 
 
 7347 
 
 7761 
 
 S175 
 
 8588 
 
 9002 
 
 9416 
 
 3829 
 
 0243 
 
 
 3 248 
 
 98 ( 
 
 32110657 
 
 1071 
 
 1484 
 
 1898 
 
 23F2 
 
 2725 
 
 3139 
 
 3553 
 
 3966 
 
 4380 
 
 
 7 289 
 )372 
 
 Pts. 
 
 99 
 
 4794 
 
 5207 
 1 
 
 5621 
 2 
 
 3035 < 
 3 
 
 3448 
 4 
 
 6862 
 6 
 
 7275 
 6 1 
 
 7689 I 
 7 
 
 B105 
 8 
 
 8516 
 
 9 
 
 D 
 
 N. 1 
 
(15^6**) LOGARITHMS N. 1050L.021i 
 
 N. 
 
 
 
 1 
 
 9344 
 
 2 
 
 9757 
 
 3 
 
 017 1 
 
 4 
 
 0584 
 
 5 
 
 0998 
 
 6 
 
 1412 
 
 7 
 
 1825 
 
 8 
 
 2239 
 
 9 
 
 2652 
 
 D 
 
 Pro. 
 
 10500 
 
 02118930 
 
 01 
 
 02123066 
 
 3479 
 
 3893 
 
 4307 
 
 4720 
 
 5134 
 
 5547 
 
 5961 
 
 6374 
 
 6788 
 
 414 
 
 414 
 
 02 
 
 7201 
 
 7615 
 
 8028 
 
 8442 
 
 8855 
 
 9269 
 
 9682 
 
 0096 
 
 0509 
 
 0923 
 
 
 1 41 
 
 03 
 
 02131337 
 
 1750 
 
 2164 
 
 2577 
 
 2991 
 
 3404 
 
 3817 
 
 4231 
 
 4644 
 
 5058 
 
 
 2 83 
 3! 124 
 4J16-6 
 
 04- 
 
 5471 
 
 5885 
 
 6298 
 
 6712 
 
 7125 
 
 7539 
 
 7952 
 
 8365 
 
 87 7 y 
 
 9192 
 
 
 05 
 
 9606 
 
 S019 
 
 0433 
 
 0846 
 
 1259 
 
 1673 
 
 2086 
 
 2500 
 
 2913 
 
 3326 
 
 
 5 207 
 
 06 
 
 02143740 
 
 4153 
 
 4566 
 
 4980 
 
 5393 
 
 5807 
 
 6220 
 
 6633 
 
 7047 
 
 7460 
 
 
 61248 
 
 7 290 
 
 8 33 ! 
 
 07 
 
 7873 
 
 8287 
 
 8700 
 
 9113 
 
 9526 
 
 9940 
 
 0353 
 
 0766 
 
 1180 
 
 1593 
 
 
 08 
 
 02152006 
 
 2420 
 
 2833 
 
 3246 
 
 3660 
 
 4073 
 
 4486 
 
 4899 
 
 5313 
 
 5726 
 
 
 9 373 
 
 09 
 
 6139 
 
 6553 
 
 6966 
 
 7379 
 
 7792 
 
 8205 
 
 8619 
 
 9032 
 
 9445 
 
 9858 
 
 
 
 
 10510 
 
 02160272 
 
 0685 
 
 1098 
 
 1511 
 
 1924 
 
 2338 
 
 2751 
 
 3164 
 
 3577 
 
 3990 
 
 
 
 11 
 
 4404 
 
 4817 
 
 5230 
 
 5643 
 
 6056 
 
 6469 
 
 6882 
 
 7296 
 
 7709 
 
 8122 
 
 
 
 12 
 
 8535 
 
 8948 
 
 9361 
 
 9775 
 
 0188 
 
 0601 
 
 1014 
 
 1427 
 
 1840 
 
 2253 
 
 
 
 13 
 
 02172666 
 
 3080 
 
 3493 
 
 3906 
 
 4319 
 
 4732 
 
 5145 
 
 ,5558 
 
 5971 
 
 6384 
 
 
 
 14 
 
 6797 
 
 7210 
 
 7623 
 
 8036 
 
 8450 
 
 8863 
 
 9276 
 
 9589 
 
 0102 
 
 0515 
 
 
 
 15 
 
 02180928 
 
 1341 
 
 1754 
 
 2167 
 
 2580 
 
 2993 
 
 3406 
 
 3819 
 
 4232 
 
 4645 
 
 
 
 16 
 
 5058 
 
 5471 
 
 5884 
 
 6297 
 
 6710 
 
 7 1 23 
 
 7535 
 
 7948 
 
 8361 
 
 8774 
 
 
 
 17 
 
 9187 
 
 9600 
 
 0013 
 
 0426 
 
 0839 
 
 1252 
 
 1665 
 
 2078 
 
 2491 
 
 2904 
 
 
 
 18 
 
 02193317 
 
 3730 
 
 4142 
 
 4555 
 
 4968 
 
 5381 
 
 5794 
 
 6207 
 
 6620 
 
 7033 
 
 
 
 19 
 
 7446" 
 
 7858 
 
 8271 
 
 8684 
 
 9097 
 
 9510 
 
 9923 
 
 0336 
 
 0748 
 
 1161 
 
 
 
 10520 
 
 02201574 
 
 1987 
 
 2400 
 
 2812 
 
 3225 
 
 3638 
 
 4051 
 
 4464 
 
 4876 
 
 5289 
 
 
 
 21 
 
 5702 
 
 6115 
 
 6528 
 
 6941 
 
 7353 
 
 7766 
 
 8179 
 
 8592 
 
 9004 
 
 9417 
 
 413 
 
 413 
 
 22 
 
 9830 
 
 0242 
 
 0655 
 
 1068 
 
 1481 
 
 1893 
 
 2306 
 
 2719 
 
 3132 
 
 3544 
 
 
 1 4! 
 
 25 
 
 02213957 
 
 4370 
 
 4782 
 
 5195 
 
 5608 
 
 6021 
 
 6433 
 
 6846 
 
 7259 
 
 7671 
 
 
 2 83 
 
 24 
 
 8084 
 
 8497 
 
 8909 
 
 9322 
 
 9735 
 
 0147 
 
 0560 
 
 0973 
 
 1385 
 
 1798 
 
 
 3 124 
 
 4 165 
 
 25 
 
 02222210 
 
 2623 
 
 3036 
 
 3448 
 
 3561 
 
 4273 
 
 4686 
 
 5099 
 
 5511 
 
 5924 
 
 
 5 206 
 
 26 
 
 6337 
 
 6749 
 
 7162 
 
 7574 
 
 7987 
 
 8400 
 
 8812 
 
 9225 
 
 9637 
 
 0050 
 
 
 6 248 
 
 27 
 
 02230462 
 
 0875 
 
 1288 
 
 1700 
 
 2113 
 
 2525 
 
 2938 
 
 3350 
 
 3763 
 
 4175 
 
 
 7 289 
 
 28 
 
 45S8 
 
 5000 
 
 5413 
 
 5825 
 
 6238 
 
 6650 
 
 7063 
 
 7475 
 
 7888 
 
 8300 
 
 
 8 330 
 
 9 37'J 
 
 29 
 
 8713 
 
 9125 
 
 9538 
 
 9950 
 
 0363 
 
 0775 
 
 1188 
 
 1600 
 
 2012 
 
 2425 
 
 
 
 10530 
 
 02242837 
 
 3250 
 
 3662 
 
 4074 
 
 4487 
 
 4899 
 
 5312 
 
 5724 
 
 6137 
 
 6549 
 
 
 
 31 
 
 6961 
 
 7374 
 
 7786 
 
 8199 
 
 8611 
 
 9023 
 
 9436 
 
 9848 
 
 0261 
 
 0673 
 
 
 
 32 
 
 02251085 
 
 1497 
 
 1910 
 
 2322 
 
 2735 
 
 3147 
 
 3559 
 
 3972 
 
 4384 
 
 4796 
 
 
 
 33 
 
 5208 
 
 5621 
 
 6033 
 
 6445 
 
 6858 
 
 7270 
 
 7682 
 
 8095 
 
 8507 
 
 8919 
 
 
 
 34 
 
 9331 
 
 9744 
 
 0156 
 
 0568 
 
 0981 
 
 1393 
 
 1805 
 
 2217 
 
 2630 
 
 3042 
 
 
 
 55 
 
 02263454 
 
 3866 
 
 4279 
 
 4691 
 
 5103 
 
 5515 
 
 5927 
 
 6340 
 
 6752 
 
 7164 
 
 
 
 36 
 
 7576 
 
 7988 
 
 8401 
 
 8813 
 
 9225 
 
 9637 
 
 0049 
 
 0462 
 
 0874 
 
 1286 
 
 
 
 37 
 
 02271698 
 
 2110 
 
 2522 
 
 2935 
 
 3347 
 
 3759 
 
 4171 
 
 4583 
 
 4995 
 
 5407 
 
 
 
 38 
 
 5819 
 
 6231 
 
 661^4 
 
 7056 
 
 7468 
 
 7880 
 
 8292 
 
 8704 
 
 9116 
 
 9528 
 
 
 
 59 
 
 9940 
 
 0353 
 
 0765 
 
 1177 
 
 1589 
 
 2001 
 
 2413 
 
 2825 
 
 3237 
 
 3649 
 
 
 
 10540 
 
 02284061 
 
 4473 
 
 4885 
 
 5297 
 
 5709 
 
 6121 
 
 6533 
 
 6945 
 
 7357 
 
 7769 
 
 
 
 41 
 
 8181 
 
 8593 
 
 9005 
 
 9417 
 
 9829 
 
 0241 
 
 0653 
 
 1065 
 
 1477 
 
 1889 
 
 
 
 42 
 
 02292301 
 
 2713 
 
 3125 
 
 3537 
 
 3949 
 
 4361 
 
 4773 
 
 5185 
 
 5597 
 
 6009 
 
 412 
 
 412 
 
 43 
 
 6421 
 
 6833 
 
 7245 
 
 7656 
 
 8068 
 
 8480 
 
 8892 
 
 9304 
 
 9716 
 
 0128 
 
 
 1 41 
 
 44 
 
 02300540 
 
 0952 
 
 1364 
 
 1775 
 
 2187 
 
 2599 
 
 3011 
 
 3423 
 
 3835 
 
 4247 
 
 
 2 82 
 
 3 124 
 
 45 
 
 4658 
 
 5070 
 
 5482 
 
 5894 
 
 6306 
 
 6718 
 
 7130 
 
 7541 
 
 7953 
 
 8365 
 
 
 4 165 
 
 46 
 
 8777 
 
 9189 
 
 9600 
 
 0012 
 
 0424 
 
 0336 
 
 1248 
 
 1659 
 
 2071 
 
 2483 
 
 
 5 206 
 
 47 
 
 02312895 
 
 3306 
 
 3718 
 
 4130 
 
 4542 
 
 4954 
 
 5365 
 
 5777 
 
 6189 
 
 6600 
 
 
 6 247 
 
 7 288 
 
 8 330 
 
 48 
 
 7012 
 
 7423 
 
 7835 
 
 8247 
 
 8659 
 
 9071 
 
 9482 
 
 9894 
 
 0306 
 
 0718 
 
 
 49 
 
 02321129 
 
 1541 
 
 1953 
 
 2364 2776 
 
 3188 
 
 3599 
 
 4011 
 
 4423 
 
 4834 
 
 
 9 371 
 
 N. 
 
 
 
 i ] 
 
 2 
 
 3 4 
 
 5 
 
 6 
 
 ~~7~ 
 
 8 
 
 9 
 
 1) 
 
 JPts. 
 
N. 1055 L.0232 OF NUMBERS. (197*)| 
 
 10550 
 
 
 
 1 
 
 2 
 
 3 
 
 6481 
 
 4 
 
 6893 
 
 5 
 
 7304 
 
 6 
 
 7716 
 
 7 
 
 8127 
 
 8 
 
 8539 
 
 9 
 
 8951 
 
 D 
 
 Pro. 
 
 02325246 
 
 5657 6060 1 
 
 51 
 
 9362 
 
 9774 
 
 0J86 
 
 0597 
 
 1009 
 
 1420 
 
 1832 
 
 2244 
 
 2655 
 
 3067 
 
 411 
 
 411 
 
 52 
 
 02333478 
 
 3890 
 
 430! 
 
 4713 
 
 5124 
 
 5536 
 
 5948 
 
 6359 
 
 6771 
 
 7182 
 
 
 1 41 
 
 53 
 
 7594 
 
 8005 
 
 8417 
 
 8829 
 
 9240 
 
 9652 
 
 0063 
 
 0475 
 
 0886 
 
 1298 
 
 
 i 82 
 3 123 
 il64 
 
 54 
 
 02341709 
 
 2121 
 
 2532 
 
 2944 
 
 3355 
 
 3767 
 
 4178 
 
 4590 
 
 5001 
 
 5412 
 
 ' 
 
 55 
 
 5824 
 
 6235 
 
 6647 
 
 7058 
 
 7470 
 
 7881 
 
 8292 
 
 8704 
 
 9115 
 
 9527 
 
 
 3 205 
 
 56 
 
 9938 
 
 0350 
 
 0761 
 
 1172 
 
 1584 
 
 1 995 
 
 2407 
 
 2818 
 
 3229 
 
 3641 
 
 
 5 247 
 7 288 
 i 329 
 
 51 
 
 02354052 
 
 4464 
 
 4875 
 
 5286 
 
 5698 
 
 6109 
 
 6520 
 
 6932 
 
 7343 
 
 7755 
 
 
 58 
 
 8166 
 
 8577 
 
 8989 
 
 9400 
 
 9811 
 
 0223 
 
 0654 
 
 1045 
 
 1456 
 
 1868 
 
 
 5370 
 
 59 
 
 02362279 
 
 2690 
 
 3102 
 
 3513 
 
 3924 
 
 4336 
 
 4747 
 
 5158 
 
 5569 
 
 5981 
 
 
 
 10560 
 
 6392 
 
 6803 
 
 7214 
 
 7626 
 
 8037 
 
 8448 
 
 8859 
 
 9271 
 
 9682 
 
 0093 
 
 • 
 
 
 61 
 
 02370504 
 
 0916 
 
 1327 
 
 1738 
 
 2149 
 
 2560 
 
 2972 
 
 3383 
 
 3794 
 
 4205 
 
 
 
 62 
 
 4616 
 
 5028 
 
 543y 
 
 5850 
 
 6261 
 
 6672 
 
 7083 
 
 7495 
 
 7906 
 
 8317 
 
 
 
 63 
 
 8728 
 
 9139 
 
 9550 
 
 9961 
 
 0373 
 
 0784 
 
 1195 
 
 1606 
 
 2017 
 
 2428 
 
 
 
 64 
 
 02382839 
 
 3250 
 
 3661 
 
 4073 
 
 4484 
 
 4895 
 
 5306 
 
 5717 
 
 6128 
 
 6539 
 
 
 
 65 
 
 6950 
 
 7361 
 
 7772 
 
 8183 
 
 8594 
 
 9005 
 
 9416 
 
 9828 
 
 0239 
 
 0650 
 
 
 
 66 
 
 02391061 
 
 1472 
 
 1883 
 
 2294 
 
 2705 
 
 3116 
 
 3527 
 
 3938 
 
 4349 
 
 4760 
 
 
 
 67 
 
 5171 
 
 5582 
 
 5993 
 
 6404 
 
 6815 
 
 7226 
 
 7637 
 
 8048 
 
 8459 
 
 8870 
 
 
 
 68 
 
 9281 
 
 ^692 
 
 0103 
 
 0514 
 
 0924 
 
 1335 
 
 1746 
 
 2157 
 
 2568 
 
 2979 
 
 
 
 69 
 
 02403390 
 
 3801 
 
 4212 
 
 4623 
 
 5033 
 
 5444 
 
 5855 
 
 6266 
 
 6677 
 
 7088 
 
 
 
 10570 
 
 749J) 
 
 7910 
 
 8321 
 
 8731 
 
 9142 
 
 9553 
 
 9964 
 
 0375 
 
 0786 
 
 1196 
 
 
 
 71 
 
 02411607 
 
 2018 
 
 2429 
 
 2840 
 
 3251 
 
 3662 
 
 4072 
 
 4483 
 
 4894 
 
 5305 
 
 
 
 72 
 
 5715 
 
 6126 
 
 6537 
 
 6948 
 
 7359 
 
 7769 
 
 8180 
 
 8591 
 
 9002 
 
 9413 
 
 410 
 
 
 73 
 
 9823 
 
 0234 
 
 0645 
 
 1056 
 
 1466 
 
 1877 
 
 2288 
 
 2699 
 
 3109 
 
 3520 
 
 410 
 
 74 
 
 02423931 
 
 4341 
 
 4752 
 
 5163 
 
 5573 
 
 5984 
 
 6395 
 
 6806 
 
 7216 
 
 7627 
 
 
 1 41 
 
 2 82 
 
 75 
 
 8038 
 
 8448 
 
 8859 
 
 9270 
 
 9680 
 
 0091 
 
 0502 
 
 0912 
 
 1323 
 
 1734 
 
 
 3 123 
 
 76 
 
 02432144 
 
 2555 
 
 2966 
 
 3376 
 
 3787 
 
 4197 
 
 4608 
 
 5019 
 
 5429 
 
 5840 
 
 
 4 164 
 
 77 
 
 6250 
 
 6661 
 
 7072 
 
 7482 
 
 7893 
 
 8303 
 
 8714 
 
 9125 
 
 9535 
 
 9946 
 
 
 5 20,') 
 
 6 24 (J 
 
 78 
 
 02440356 
 
 0767 
 
 1178 
 
 1588 
 
 1999 
 
 2409 
 
 2820 
 
 3230 
 
 3641 
 
 4051 
 
 
 7 287 
 
 79v 
 
 4462 
 
 4872 
 
 5283 
 
 5693 
 
 6104 
 
 6514 
 
 6925 
 
 7335 
 
 7746 
 
 8156 
 
 
 8 328 
 
 10580 
 
 8567 
 
 8977 
 
 9388 
 
 9798 
 
 0209 
 
 0619 
 
 1030 
 
 1440 
 
 1851 
 
 2261 
 
 
 q'so'.o 
 
 81 
 
 02452671 
 
 3082 
 
 3492 
 
 3903 
 
 4313 
 
 4724 
 
 5134 
 
 5545 
 
 5955 
 
 6365 
 
 
 
 82 
 
 6776 
 
 7186 
 
 7597 
 
 8007 
 
 8417 
 
 8828 
 
 9238 
 
 9649 
 
 0059 
 
 0469 
 
 
 
 83 
 
 02460880 
 
 1290 
 
 1700 
 
 2111 
 
 2521 
 
 2932 
 
 3342 
 
 3752 
 
 4163 
 
 4573 
 
 
 
 84 
 
 4983 
 
 5394 
 
 5804 
 
 6214 
 
 6624 
 
 7035 
 
 7445 
 
 7855 
 
 8266 
 
 8676 
 
 
 
 85 
 
 9086 
 
 9497 
 
 9907 
 
 0317 
 
 0727 
 
 1138^ 
 
 1548 
 
 1958 
 
 2369 
 
 2779 
 
 
 
 86 
 
 02473189 
 
 3599 
 
 4010 
 
 4420 
 
 4830 
 
 5240 
 
 5651 
 
 6061 
 
 6471 
 
 6881 
 
 
 
 87 
 
 7291 
 
 7702 
 
 8112 
 
 8522 
 
 8932 
 
 9342 
 
 9753 
 
 0163 
 
 0573 
 
 0933 
 
 
 
 88 
 
 02481393 
 
 1804 
 
 2214 
 
 2624 
 
 3034 
 
 3444 
 
 3854 
 
 4265 
 
 4675 
 
 5085 
 
 
 
 89 
 
 5495 
 
 5905 
 
 6315 
 
 6725 
 
 7135 
 
 7546 
 
 7956 
 
 8366 
 
 8776 
 
 9186 
 
 
 
 10590 
 
 9596 
 
 0006 
 
 0416 
 
 0826 
 
 1236 
 
 1647 
 
 2057 
 
 2467 
 
 2877 
 
 3287 
 
 
 
 91 
 
 02493697 
 
 4107 
 
 4517 
 
 4927 
 
 5337 
 
 5747 
 
 6157 
 
 6567 
 
 6977 
 
 7387 
 
 
 
 92 
 
 7797 
 
 8207 
 
 8617 
 
 9027 
 
 9437 
 
 9847 
 
 0257 
 
 0667 
 
 1077 
 
 1487 
 
 409 
 
 409 
 
 93 
 
 02501897 
 
 2307 
 
 2717 
 
 3127 
 
 3537 
 
 3947 
 
 4357 
 
 4767 
 
 5177 
 
 5587 
 
 
 I 41 
 
 94 
 
 5997 
 
 6407 
 
 6817 
 
 7227 
 
 7637 
 
 8047 
 
 8457 
 
 8866 
 
 9276 
 
 9686 
 
 
 2 82 
 1 K'*? 
 
 95 
 
 02510096 
 
 0506 
 
 0916 
 
 1326 
 
 1736 
 
 2146 
 
 2556 
 
 2965 
 
 3375 
 
 3785 
 
 
 ,) 1 '-O 
 
 4 164 
 
 96 
 
 4195 
 
 4605 
 
 5015 
 
 5425 
 
 5835 
 
 6245 
 
 6654 
 
 7064 
 
 7474 
 
 7884 
 
 
 5 204 
 
 97 
 
 8293 
 
 8703 
 
 9113 
 
 9523 
 
 9933 
 
 0343 
 
 0752 
 
 1162 
 
 1572 
 
 1982 
 
 
 6 245 
 
 7 286 
 
 8 327 
 
 98 
 
 02522392 
 
 2801 
 
 3211 
 
 3621 
 
 4031 
 
 4441 
 
 4850 
 
 5260 
 
 5670 
 
 6080 
 
 
 99 
 
 ■ N. 
 
 6489 
 
 6899 
 1 
 
 7309 
 2 
 
 7719 
 
 3 
 
 8128 
 
 4 
 
 8538 
 
 8948 
 
 6 
 
 9357 
 
 7 
 
 9767 
 8 
 
 0177 
 
 9 
 
 1) 
 
 9 368 
 Pt9. 
 
 
 
 5 
 
(198*) LOGARITHMS N. 106oL.0253 
 
 N. 
 
 
 
 1 
 
 0996 
 
 2 
 
 1400 
 
 3 
 
 1816 
 
 4 
 
 2225 
 
 5 
 
 2635 
 
 6 
 
 7 
 
 3454 
 
 8 
 
 3804 
 
 9 
 
 4274 
 
 D 
 
 Pro. 
 
 lOtJCK) 
 
 02530587 
 
 3045 
 
 01 
 
 4683 
 
 5093 
 
 5503 
 
 5913 
 
 6322 
 
 0732 
 
 7142 
 
 7551 
 
 7901 
 
 8370 
 
 410 
 
 410 
 
 02 
 
 8780 
 
 9190 
 
 9599 
 
 0009 
 
 0419 
 
 0828 
 
 1238 
 
 1047 
 
 2057 
 
 2407 
 
 
 1 41 
 
 03 
 
 02542876 
 
 3286 
 
 3695 
 
 4105 
 
 4515 
 
 4924 
 
 5334 
 
 5743 
 
 0153 
 
 0502 
 
 
 2 82 
 
 3 123 
 
 4 164 
 
 04. 
 
 6972 
 
 7382 
 
 7791 
 
 8201 
 
 8610 
 
 9020 
 
 9429 
 
 9839 
 
 0248 
 
 0058 
 
 
 05 
 
 02551067 
 
 1477 
 
 1880 
 
 2296 
 
 2705 
 
 3115 
 
 3524 
 
 3934 
 
 4343 
 
 4753 
 
 
 5 205 
 
 06 
 
 5162 
 
 5572 
 
 5981 
 
 6391 
 
 0800 
 
 7209 
 
 7619 
 
 8029 
 
 8438 
 
 8848 
 
 
 6' 246 
 
 7 287 
 
 8 328 
 
 07 
 
 ^251 
 
 '^QQQ 
 
 0076 
 
 0485 
 
 0895 
 
 1304 
 
 1714 
 
 2123 
 
 2532 
 
 2942 
 
 
 08 
 
 0256335.1 
 
 3761 
 
 4170 
 
 4579 
 
 4989 
 
 5398 
 
 5808 
 
 6217 
 
 6626 
 
 7036 
 
 
 9 369 
 
 09 
 
 7445 
 
 7854 
 
 8264 
 
 8673 
 
 9083 
 
 9492 
 
 9901 
 
 0310 
 
 0720 
 
 1129 
 
 
 
 10610 
 
 02571538 
 
 1948 
 
 2357 
 
 2766 
 
 3176 
 
 3585 
 
 3994 
 
 4404 
 
 4813 
 
 5222 
 
 
 
 11 
 
 5631 
 
 6041 
 
 6450 
 
 6859 
 
 7269 
 
 7678 
 
 8087 
 
 8497 
 
 8906 
 
 9315 
 
 
 
 12 
 
 9724 
 
 0133 
 
 0543 
 
 0952 
 
 1361 
 
 1770 
 
 2180 
 
 2589 
 
 2998 
 
 3407 
 
 
 
 13 
 
 02583816 
 
 4220 
 
 4635 
 
 5044 
 
 5453 
 
 5802 
 
 0272 
 
 0681 
 
 7090 
 
 7499 
 
 
 
 14 
 
 7908 
 
 83)8 
 
 8727 
 
 9136 
 
 9545 
 
 9954 
 
 0303 
 
 0773 
 
 1182 
 
 1591 
 
 
 
 15 
 
 02592000 
 
 2409 
 
 2818 
 
 3227 
 
 3030 
 
 4046 
 
 4455 
 
 4804 
 
 5273 
 
 5082 
 
 
 
 16 
 
 6091 
 
 6500 
 
 6909 
 
 7318 
 
 7727 
 
 8137 
 
 8540 
 
 8955 
 
 9304 
 
 9773 
 
 
 
 17 
 
 02600182 
 
 0591 
 
 1000 
 
 1409 
 
 1818 
 
 2227 
 
 2630 
 
 3045 
 
 3454 
 
 3803 
 
 
 
 18 
 
 4272 
 
 4681 
 
 5090 
 
 5499 
 
 5908 
 
 0317 
 
 0720 
 
 7135 
 
 7544 
 
 7953 
 
 
 
 19 
 
 8362 
 
 8771 
 
 9180 
 
 9589 
 
 9998 
 
 0407 
 
 0810 
 
 1225 
 
 1034 
 
 2043 
 
 
 
 10620 
 
 02612452 
 
 2861 
 
 3270 
 
 3679 
 
 4088 
 
 4490 
 
 4905 
 
 5314 
 
 5723 
 
 6132 
 
 
 
 21 
 
 6541 
 
 6950 
 
 7359 
 
 7768 
 
 8177 
 
 8585 
 
 8994 
 
 9403 
 
 9812 
 
 0221 
 
 409 
 
 409 
 
 22 
 
 02620630 
 
 1039 
 
 1448 
 
 1856 
 
 2205 
 
 2074 
 
 3083 
 
 3492 
 
 3901 
 
 4309 
 
 
 1 41 
 
 23 
 
 4718 
 
 5127 
 
 5536 
 
 5945 
 
 6353 
 
 0702 
 
 7171 
 
 7580 
 
 7989 
 
 8397 
 
 
 2 82 
 
 24 
 
 8806 
 
 9215 
 
 9624 
 
 0033 
 
 0441 
 
 0850 
 
 1259 
 
 1008 
 
 2077 
 
 2485 
 
 
 3 123 
 
 4 164 
 
 5 204 
 
 25 
 
 02632894 
 
 3303 
 
 3712 
 
 4120 
 
 4529 
 
 4938 
 
 5340 
 
 5755 
 
 0104 
 
 6573 
 
 
 26 
 
 6981 
 
 7390 
 
 7799 
 
 8207 
 
 8010 
 
 9025 
 
 9433 
 
 9842 0251 
 
 0660 
 
 
 6 245 
 
 27 
 
 02641068 
 
 1477 
 
 1886 
 
 2294 
 
 2703 
 
 3112 
 
 3520 
 
 3929 
 
 4337 
 
 4746 
 
 
 7 286 
 
 8 327 
 
 9 368 
 
 28 
 
 5155 
 
 5563 
 
 5972 
 
 6381 
 
 0789 
 
 7198 
 
 7000 
 
 8015 
 
 8424 
 
 8832 
 
 
 29 
 
 9241 
 
 9649 
 
 0058 
 
 0467 
 
 0875 
 
 1284 
 
 1692 
 
 2101 
 
 2509 
 
 2918 
 
 
 
 10630 
 
 02653326 
 
 3735 
 
 4144 
 
 4552 
 
 4901 
 
 5309 
 
 5778 
 
 6186 
 
 6595 
 
 7003 
 
 
 
 31 
 
 7412 
 
 7820 
 
 8229 
 
 8037 
 
 9046 
 
 9454 
 
 9803 
 
 0271 
 
 0680 
 
 1088 
 
 
 
 32 
 
 02661497 
 
 1905 
 
 2314 
 
 2722 
 
 3131 
 
 3539 
 
 3948 
 
 4356 
 
 4^705 
 
 5173 
 
 
 
 33 
 
 5581 
 
 5990 
 
 6398 
 
 6807 
 
 7215 
 
 7024 
 
 8032 
 
 8440 
 
 8849 
 
 9257 
 
 
 
 34 
 
 9666 
 
 0074 
 
 0482 
 
 0891 
 
 1299 
 
 1708 
 
 2116 
 
 2524 
 
 2933 
 
 3341 
 
 
 
 S5 
 
 02673749 
 
 4158 
 
 4566 
 
 4975 
 
 5383 
 
 5791 
 
 0200 
 
 6608 
 
 7O10 
 
 7425 
 
 
 
 36 
 
 7833 
 
 8241 
 
 8050 
 
 9058 
 
 9466 
 
 9874 
 
 0283 
 
 0691 
 
 1099 
 
 1508 
 
 
 
 37 
 
 02681916 
 
 2324 
 
 2733 
 
 3141 
 
 3549 
 
 3957 
 
 4300 
 
 4774 
 
 5182 
 
 5590 
 
 
 
 38 
 
 5999 
 
 6407 
 
 6815 
 
 7224 
 
 7632 
 
 8040 
 
 8448 
 
 8850 
 
 9205 
 
 9673 
 
 
 
 39 
 
 02690081 
 
 0489 
 
 0897 
 
 1306 
 
 1714 
 
 2122 
 
 2530 
 
 2938 
 
 3347 
 
 3755 
 
 
 
 10640 
 
 4163 
 
 4571 
 
 4979 
 
 5387 
 
 5796 
 
 6204 
 
 6012 
 
 7020 
 
 7428 
 
 7836 
 
 
 
 41 
 
 8244 
 
 8653 
 
 9061 
 
 9469 
 
 9877 
 
 0285 
 
 0093 
 
 1101 
 
 ^509 
 
 1917 
 
 
 
 42 
 
 02702326 
 
 2734 
 
 3142 
 
 3550 
 
 3958 
 
 4366 
 
 4774 
 
 5182 
 
 5590 
 
 5998 
 
 408 
 
 408 
 
 43 
 
 6406 
 
 6814 
 
 7222 
 
 7631 
 
 8039 
 
 8447 
 
 8855 
 
 9203 
 
 9671 
 
 0079 
 
 
 1 41 
 
 44 
 
 02710487 
 
 0895 
 
 1303 
 
 1711 
 
 2119 
 
 2527 
 
 2935 
 
 3343 
 
 3751 
 
 4159 
 
 
 2 82 
 
 3 122 
 
 45 
 
 4567 
 
 4975 
 
 5383 
 
 5791 
 
 6199 
 
 6^07 
 
 7015 
 
 7423 
 
 7830 
 
 8238 
 
 
 4 163 
 
 46 
 
 8646 
 
 9054 
 
 9462 
 
 9870 
 
 0278 
 
 0080 
 
 1094 
 
 1502 
 
 1910 
 
 2318 
 
 
 5 204 
 
 47 
 
 02722725 
 
 3133 
 
 3541 
 
 3949 
 
 4357 
 
 4705 
 
 5173 
 
 5581 
 
 5989 
 
 6396 
 
 
 6 245 
 
 7 286 
 
 8 326 
 
 48 
 
 6804 
 
 7212 
 
 7620 
 
 8028 
 
 8436 
 
 8844 
 
 9252 
 
 9059 
 
 0067 
 
 0475 
 
 
 49 
 
 02730883 
 
 1291 
 1 
 
 1698 
 
 2 
 
 2106 
 
 3 
 
 2514 
 
 2922 
 
 5 
 
 3330 
 
 3737 
 
 4145 
 
 4553 
 
 9 
 
 D 
 
 9 367 
 Pts. 
 
 N. 
 
 
 
 4 
 
 6 
 
 7 
 
 8 
 
N. 1065 L.0273 of numbers. (199*) 
 
 N. 
 
 
 
 1 
 
 ^2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D 
 
 Pro. 
 
 106.50 
 
 02734961 
 
 5369 
 
 5716 
 
 6184 
 
 6592 
 
 7000 
 
 7407 
 
 7815 
 
 8223 
 
 8631 
 
 
 
 51 
 
 9039 
 
 9446 
 
 9854 
 
 0262 
 
 0669 
 
 1077 
 
 1485 
 
 1893 
 
 2300 
 
 2708 
 
 407 
 
 407 
 
 52 
 
 02743116 
 
 3524 
 
 3931 
 
 4339 
 
 4747 
 
 5154 
 
 5562 
 
 5970 
 
 6377 
 
 6785 
 
 
 1 41 
 
 53 
 
 7193 
 
 7600 
 
 8008 
 
 8416 
 
 8823 
 
 ,9231 
 
 9639 
 
 0046 
 
 0454 
 
 0862 
 
 
 2 81 
 
 3 122 
 
 4 163 
 
 54 
 
 02751269 
 
 1677 
 
 2085 
 
 2492 
 
 2900 
 
 3307 
 
 3715 
 
 4123 
 
 4530 
 
 4938 
 
 
 55 
 
 5345 
 
 5753 
 
 6161 
 
 6568 
 
 6976 
 
 7383 
 
 7791 
 
 8199 
 
 8606 
 
 9014 
 
 
 5 203 
 
 56 
 
 9421 
 
 9829 
 
 0236 
 
 0644 
 
 1051 
 
 1459 
 
 1S66 
 
 2274 
 
 2682 
 
 3089 
 
 
 6 244 
 
 7 285 
 
 8 326 
 
 51 
 
 02763497 
 
 3904 
 
 4312 
 
 4719 
 
 5127 
 
 5534 
 
 5942 
 
 6349 
 
 6757 
 
 7164 
 
 
 58 
 
 7572 
 
 7979 
 
 8387 
 
 8794 
 
 9201 
 
 9609 
 
 0016 
 
 0424 
 
 0831 
 
 1239 
 
 
 9 366 
 
 59 
 
 02771646 
 
 2054 
 
 2461 
 
 2869 
 
 3276 
 
 3683 
 
 4091 
 
 4498 
 
 4906 
 
 5313 
 
 
 
 10660 
 
 5720 
 
 6128 
 
 6535 
 
 6943 
 
 7350 
 
 7758 
 
 8165 
 
 8572 
 
 8980 
 
 9387 
 
 
 
 61 
 
 9794 
 
 0202 
 
 0609 
 
 1016 
 
 1424 
 
 1831 
 
 2238 
 
 2646 
 
 3053 
 
 3460 
 
 
 
 62 
 
 02783868 
 
 4275 
 
 4682 
 
 5090 
 
 5497 
 
 5904 
 
 6312 
 
 6719 
 
 7126 
 
 7534 
 
 
 
 63 
 
 7941 
 
 8348 
 
 8756 
 
 9163 
 
 9570 
 
 9977 
 
 0385 
 
 0792 
 
 1199 
 
 1606 
 
 
 
 64 
 
 02792014 
 
 2421 
 
 2828 
 
 3235 
 
 3643 
 
 4050 
 
 4457 
 
 4864 
 
 5271 
 
 5679 
 
 
 
 65 
 
 6086 
 
 6493 
 
 6900 
 
 7303 
 
 7715 
 
 8122 
 
 8529 
 
 8936 
 
 9344 
 
 9751 
 
 
 
 m 
 
 02800158 
 
 0565 
 
 0972 
 
 1379 
 
 1787 
 
 2194 
 
 2601 
 
 3008 
 
 3415 
 
 3822 
 
 
 
 67 
 
 4230 
 
 4637 
 
 5044 
 
 5451 
 
 5858 
 
 6265 
 
 6672 
 
 7079 
 
 7487 
 
 7894 
 
 
 
 68 
 
 8301 
 
 8708 
 
 9115 
 
 9522 
 
 9929 
 
 0336 
 
 0743 
 
 1150 
 
 1558 
 
 1965 
 
 
 
 69 
 
 02812372 
 
 2779 
 
 3186 
 
 3593 
 
 4000 
 
 4407 
 
 4814 
 
 5221 
 
 5628 
 
 6035 
 
 406 
 
 406 
 
 10670 
 
 6442 
 
 6849 
 
 7256 
 
 7663 
 
 8070 
 
 8477 
 
 8884 
 
 9291 
 
 9698 
 
 0105 
 
 
 1 41 
 
 71 
 
 028205 r2 
 
 0919 
 
 1326 
 
 1733 
 
 2140 
 
 2547 
 
 2954 
 
 3361 
 
 3768 
 
 4175 
 
 
 2 81 
 
 72 
 
 4582 
 
 4989 
 
 5396 
 
 5803 
 
 6209 
 
 6616 
 
 7023 
 
 7430 
 
 7837 
 
 8244 
 
 
 3 122 
 
 73 
 
 8651 
 
 9058 
 
 9465 
 
 9872 
 
 0279 
 
 0685 
 
 1092 
 
 1499 
 
 1906 
 
 2313 
 
 
 4 162 
 
 5 203 
 
 6 244 
 
 74 
 
 02832720 
 
 3127 
 
 3534 
 
 3940 
 
 4347 
 
 4754 
 
 5161 
 
 5568 
 
 5975 
 
 6382 
 
 
 75 
 
 6788 
 
 7195 
 
 7602 
 
 8009 
 
 8416 
 
 8823 
 
 9229 
 
 9636 
 
 0043 
 
 0450 
 
 
 7 284 
 
 76 
 
 02840857 
 
 1263 
 
 1670 
 
 2077 
 
 2484 
 
 2891 
 
 3297 
 
 3704 
 
 4111 
 
 4518 
 
 
 8 325 
 
 9 365 
 
 77 
 
 4924 
 
 5331 
 
 5738 
 
 6145 
 
 6551 
 
 6958 
 
 7365 
 
 7772 
 
 8178 
 
 8585 
 
 
 78 
 
 8992 
 
 9398 
 
 9805 
 
 0212 
 
 0618 
 
 1025 
 
 1432 
 
 1839 
 
 2245 
 
 2652 
 
 
 
 79 
 
 02853059 
 
 3465 
 
 3872 
 
 4279 
 
 4685 
 
 5092 
 
 5499 
 
 5905 
 
 6312 
 
 6719 
 
 
 
 10680 
 
 7125 
 
 7532 
 
 7939 
 
 8345 
 
 8752 
 
 9159 
 
 9565 
 
 9972 
 
 0378 
 
 0785 
 
 
 
 81 
 
 02861192 
 
 1598 
 
 2005 
 
 2411 
 
 2818 
 
 3225 
 
 3631 
 
 4038 
 
 4444 
 
 4851 
 
 
 
 82 
 
 5257 
 
 5664 
 
 6071 
 
 6477 
 
 6884 
 
 7290 
 
 7697 
 
 8103 
 
 8510 
 
 8916 
 
 
 
 83 
 
 ^ 9323 
 
 9729 
 
 0136 
 
 0542 
 
 0949 
 
 1355 
 
 1762 
 
 2168 
 
 2575 
 
 2981 
 
 
 
 84 
 
 02873388 
 
 3794 
 
 4201 
 
 4607 
 
 5014 
 
 5420 
 
 5827 
 
 6233 
 
 6640 
 
 7046 
 
 
 
 85 
 
 7453 
 
 7859 
 
 8265 
 
 8672 
 
 9078 
 
 9485 
 
 9891 
 
 0298 
 
 0704 
 
 nil 
 
 
 
 86 
 
 02881517 
 
 1923 
 
 2330 
 
 2736 
 
 3143 
 
 3549 
 
 3955 
 
 4362 
 
 4768 
 
 5175 
 
 
 
 87 
 
 5581 
 
 5987 
 
 6394 
 
 6800 
 
 7206 
 
 7613 
 
 8019 
 
 8425 
 
 8832 
 
 9238 
 
 
 
 88 
 
 9645 
 
 D051 
 
 0457 
 
 0864 
 
 1270 
 
 1676 
 
 2083 
 
 2489 
 
 2995 
 
 3301 
 
 
 
 89 
 
 02893708 
 
 4114 
 
 4520 
 
 4927 
 
 5333 
 
 5739 
 
 6146 
 
 6552 
 
 6958 
 
 7364 
 
 
 
 1069P 
 
 7771 
 
 8177 
 
 8583 
 
 8989 
 
 9395 
 
 9802 
 
 0208 
 
 0614 
 
 1020 
 
 1427 
 
 
 
 91 
 
 02901833 
 
 2239 
 
 2645 
 
 3052 
 
 3458 
 
 3864 
 
 4270 
 
 4676 
 
 5083 
 
 5489 
 
 405 
 
 
 92 
 
 5895 
 
 6301 
 
 6707 
 
 7114 
 
 7520 
 
 7926 
 
 8332 
 
 8738 
 
 9144 
 
 9550 
 
 
 405 
 
 93 
 
 9957 
 
 0363 
 
 0769 
 
 1175 
 
 1581 
 
 1987 
 
 2394 
 
 2800 
 
 3206 
 
 3612 
 
 
 1 40 
 
 94 
 
 02914018 
 
 4424 
 
 4830 
 
 5236 
 
 5642 
 
 6049 
 
 6455 
 
 6861 
 
 7267 
 
 7673 
 
 
 2 81 
 
 3 121 
 
 95 
 
 8079 
 
 8485 
 
 8891 
 
 9297 
 
 9703 
 
 0109 
 
 0515 
 
 0921 
 
 1327 
 
 1733 
 
 
 4 162 
 
 96 
 
 02922139 
 
 2546 
 
 2952 
 
 3358 
 
 3764 
 
 4170 
 
 4576 
 
 4982 
 
 5388 
 
 5794 
 
 
 5 202 
 
 97 
 
 6200 
 
 6606 
 
 7012 
 
 7418 
 
 7824 
 
 8230 
 
 8635 
 
 9041 
 
 9447 
 
 9853 
 
 
 6 243 
 
 7 283 
 
 8 324 
 
 98 
 
 02930259 
 
 0665 
 
 1071 
 
 1477 
 
 1883 
 
 2289 
 
 2695 
 
 3101 
 
 3507 
 
 3913 
 
 
 99 
 
 4319 
 
 4725 
 
 1 
 
 5131 
 2 
 
 5536 
 
 5942 
 
 6348 
 
 5 
 
 6754 
 
 6 
 
 7160 
 
 7 
 
 7566 
 8 
 
 7972 
 
 9 
 
 D 
 
 9 364 
 
 N. 1 
 
 
 
 3 4 ^ 
 
 Pts. 
 
(goo*) LOGARITHMS N. 1070 L. 0'2.93 
 
 N. 
 
 10700 
 
 
 
 1 
 
 8784 
 
 9 1 90 
 
 3 
 
 9595 
 
 4 
 
 0001 
 
 5 
 
 0407 
 
 6 
 
 0813 
 
 7 
 
 1219 
 
 8 
 
 1625 
 
 9 
 
 2031 
 
 D 
 
 Pro. 
 
 0293H378 
 
 01 
 
 029 
 
 i.2436 
 
 2842 
 
 3248 
 
 3654 
 
 4060 
 
 4405 
 
 4871 
 
 5277 
 
 5083 
 
 6089 
 
 406 
 
 406 
 
 02 
 
 
 6495 
 
 0901 
 
 7307 
 
 7712 
 
 8118 
 
 8524 
 
 8930 
 
 9335 
 
 9741 
 
 Dl47 
 
 
 1 41 
 
 03 
 
 029 
 
 50553 
 
 0958 
 
 1364 
 
 1770 
 
 2176 
 
 2581 
 
 2987 
 
 3393 
 
 3799 
 
 4205 
 
 
 2 81 
 
 3 ]'2'2 
 
 4 162 
 
 01 
 
 
 4610 
 
 5016 
 
 5422 
 
 5827 
 
 6233 
 
 6639 
 
 7044 
 
 7450 
 
 7856 
 
 8261 
 
 
 05 
 
 
 8667 
 
 9073 
 
 9479 
 
 9884 
 
 0290 
 
 0696 
 
 1101 
 
 1507 
 
 1913 
 
 2318 
 
 
 5 203 
 
 06 
 
 029< 
 
 52724 
 
 3 1 30 
 
 3535 
 
 3941 
 
 4347 
 
 4752 
 
 5158 
 
 5563 
 
 5969 
 
 6375 
 
 
 6 244 
 
 7 284 
 
 8 325 
 
 07 
 
 
 6780 
 
 7186 
 
 7592 
 
 7997 
 
 8403 
 
 8808 
 
 9214 
 
 9620 
 
 0025 
 
 043 1 
 
 
 08 
 
 029' 
 
 70836 
 
 1242 
 
 1647 
 
 2053 
 
 2458 
 
 2864 
 
 3270 
 
 3675 
 
 4081 
 
 4486 
 
 
 9 3G5 
 
 09 
 
 
 4892 
 
 5298 
 
 5703 
 
 6109 
 
 6514 
 
 6920 
 
 7325 
 
 7731 
 
 8136 
 
 8542 
 
 
 
 10710 
 
 
 8947 
 
 9353 
 
 9758 
 
 0164 
 
 0569 
 
 0975 
 
 1380 
 
 1786 
 
 2191 
 
 2597 
 
 
 
 11 
 
 029^ 
 
 33002 
 
 3407 
 
 3813 
 
 4218 
 
 4624 
 
 5029 
 
 5435 
 
 5840 
 
 6246 
 
 6651 
 
 
 
 12 
 
 
 7056 
 
 7462 
 
 7867 
 
 8273 
 
 8678 
 
 9084 
 
 9489 
 
 9894 
 
 0300 
 
 0705 
 
 
 
 13 
 
 029c 
 
 )1111 
 
 1516 
 
 1921 
 
 2327 
 
 2732 
 
 3137 
 
 3543 
 
 3948 
 
 4354 
 
 4759 
 
 
 
 14 
 
 
 5164 
 
 5569 
 
 5975 
 
 6380 
 
 6786 
 
 7191 
 
 7596 
 
 8002 
 
 8407 
 
 8812 
 
 
 
 15 
 
 
 9218 
 
 9623 
 
 0028 
 
 0433 
 
 0839 
 
 1244 
 
 1649 
 
 2055 
 
 2460 
 
 2865 
 
 
 
 16 
 
 03003271 
 
 3676 
 
 4081 
 
 4486 
 
 4892 
 
 5297 
 
 5702 
 
 6107 
 
 6513 
 
 6918 
 
 
 
 17 
 
 
 7323 
 
 7728 
 
 8134 
 
 8539 
 
 8944 
 
 9349 
 
 9755 
 
 0160 
 
 0565 
 
 0970 
 
 
 
 18 
 
 03011375 
 
 1781 
 
 2186 
 
 2591 
 
 2996 
 
 3401 
 
 3807 
 
 4212 
 
 4617 
 
 5022 
 
 
 
 19 
 
 5427 
 
 5832 
 
 6238 
 
 6643 
 
 7048 
 
 7453 
 
 7858 
 
 8263 
 
 8668 
 
 9073 
 
 
 
 10720 
 
 9479 
 
 9884 
 
 0289 
 
 0694 
 
 1099 
 
 1504 
 
 1909 
 
 2314 
 
 2719 
 
 3124 
 
 
 
 21 
 
 030^ 
 
 >3529 
 
 3935 
 
 4340 
 
 4745 
 
 5150 
 
 5555 
 
 5960 
 
 6365 
 
 6770 
 
 7175 
 
 
 
 22 
 
 7580 
 
 7985 
 
 8391 
 
 8796 
 
 9201 
 
 9606 
 
 0011 
 
 0416 
 
 0821 
 
 1226 
 
 405 
 
 405 
 
 23 
 
 03031631 
 
 2036 
 
 2441 
 
 2846 
 
 3251 
 
 3656 
 
 4061 
 
 4466 
 
 4871 
 
 5276 
 
 
 1 40 
 
 2 81 
 
 3 121 
 
 21- 
 
 
 5681 
 
 6086 
 
 6491 
 
 6896 
 
 7301 
 
 7706 
 
 8111 
 
 8515 
 
 8920 
 
 9325 
 
 
 25 
 
 9730 
 
 0135 
 
 0540 
 
 0945 
 
 1350 
 
 1755 
 
 2160 
 
 2565 
 
 2970 
 
 3374 
 
 
 4 16'2 
 
 26 
 
 03043779 
 
 4184 
 
 4589 
 
 4994 
 
 5399 
 
 5804 
 
 6209 
 
 6614 
 
 7019 
 
 7423 
 
 
 5 202 
 
 6 243 
 
 7 283 
 
 27 
 
 7828 
 
 8233 
 
 8638 
 
 9043 
 
 9448 
 
 9853 
 
 0257 
 
 0662 
 
 1067 
 
 1472 
 
 
 28 
 
 03051877 
 
 2281 
 
 2686 
 
 3091 
 
 3496 
 
 3901 
 
 .4305 
 
 4710 
 
 5115 
 
 5520 
 
 
 8 324 
 
 29 
 
 5925 
 
 6329 
 
 6734 
 
 7139 
 
 7544 
 
 7949 
 
 8353 
 
 8758 
 
 9163 
 
 9568 
 
 
 9 364 
 
 10730 
 
 9972 
 
 0377 
 
 0782 
 
 1187 
 
 1591 
 
 1996 
 
 2401 
 
 2805 
 
 3210 
 
 3615 
 
 
 
 31 
 
 03064020 
 
 4424 
 
 4829 
 
 5234 
 
 5638 
 
 6043 
 
 6448 
 
 6852 
 
 7257 
 
 7662 
 
 
 
 32 
 
 8066 
 
 8471 
 
 8876 
 
 9281 
 
 9685 
 
 0090 
 
 0495 
 
 0899 
 
 1304 
 
 1708 
 
 
 
 33 
 
 03072113 
 
 2518 
 
 2922 
 
 3327 
 
 3732 
 
 4136 
 
 4541 
 
 4945 
 
 5350 
 
 5755 
 
 
 
 34 
 
 6159 
 
 6564 
 
 6968 
 
 7373 
 
 7777 
 
 8182 
 
 8587 
 
 8991 
 
 9396 
 
 9800 
 
 
 
 35 
 
 03080205 
 
 0610 
 
 1014 
 
 1419 
 
 1823 
 
 2228 
 
 2632 
 
 3037 
 
 3441 
 
 3846 
 
 
 
 36 
 
 4250 
 
 4655 
 
 5059 
 
 5464 
 
 5868 
 
 6273 
 
 6677 
 
 7082 
 
 7486 
 
 7891 
 
 
 
 37 
 
 8295 
 
 8700 
 
 9104 
 
 9509 
 
 9913 
 
 0318 
 
 0722 
 
 1127 
 
 1531 
 
 1936 
 
 
 
 38 
 
 03092340 
 
 2745 
 
 3149 
 
 3553 
 
 3958 
 
 4362 
 
 4767 
 
 5171 
 
 5575 
 
 5980 
 
 
 
 39 
 
 6384 
 
 6789 
 
 7193 
 
 75Q7 
 
 8002 
 
 8406 
 
 8811 
 
 9215 
 
 9619 
 
 0024 
 
 
 
 10740 
 
 03100428 
 
 0833' 
 
 1237 
 
 1641 
 
 2046 
 
 2450 
 
 2854 
 
 32^9 
 
 3663 
 
 4067 
 
 
 
 41 
 
 4472 
 
 4876 
 
 5280 
 
 5685 
 
 6089 
 
 6493 
 
 6898 
 
 7302 
 
 7706 
 
 8111 
 
 
 
 42 
 
 8515 
 
 8919 
 
 9323 
 
 9728 
 
 0132 
 
 0536 
 
 0941 
 
 1345 
 
 1749 
 
 2153 
 
 404 
 
 404 
 
 43 
 
 03112558 
 
 2962 
 
 3366 
 
 3771 
 
 4175 
 
 4579 
 
 4983 
 
 5387 
 
 5792 
 
 6196 
 
 
 I 40 
 
 44 
 
 
 6600 
 
 7004 
 
 7408 
 
 7813 
 
 8217 
 
 8621 
 
 9025 
 
 9429 
 
 9834 
 
 0238 
 
 
 2 81 
 
 3 121 
 
 4'5 
 
 0312 
 
 0642 
 
 1046 
 
 1450 
 
 1855 
 
 2259 
 
 2663 
 
 3067 
 
 3471 
 
 3875 
 
 4280 
 
 
 4 162 
 
 46 
 
 4684 
 
 5088 
 
 5492 
 
 5896 
 
 6300 
 
 6704 
 
 7109 
 
 7513 
 
 7917 
 
 8321 
 
 
 5 202 
 
 47 
 
 8725 
 
 9129 
 
 9533 
 
 9937 
 
 (5341 
 
 0745 
 
 1150 
 
 1554 
 
 1958 
 
 2362 
 
 
 6 242 
 
 7 283 
 
 8 323 
 
 48 
 
 03132766 
 
 3170 
 
 3574 
 
 3978 
 
 4382 
 
 4786 
 
 5190 
 
 5594 
 
 5998 
 
 6402 
 
 
 49 
 
 6806 
 
 7210 7614| 
 
 8018 
 
 3 
 
 8422 
 
 4 
 
 8826 
 
 9230 
 
 9634 
 
 7 
 
 0038 
 8 
 
 0442 
 
 9 
 
 
 9 364 
 
 N. 
 
 
 
 1 
 
 S 1 
 
 6 
 
 6 
 
 D 
 
 Pts. 
 
N. 1075 L.0314 
 
 OF NUMBERS. 
 
 (201*) 
 
 
 
 1 
 
 03140846 
 
 1250 
 
 4886 
 
 5290 
 
 8926 
 
 9330 
 
 03152965 
 
 3369 
 
 7003 
 
 7407 
 
 03161042 
 
 1445 
 
 5080 
 
 5483 
 
 9117 
 
 9521 
 
 03173154 
 
 3558 
 
 7191 
 
 7594 
 
 03181227 
 
 1631 
 
 5263 
 
 5667 
 
 9299 
 
 9702 
 
 03193334 
 
 3738 
 
 7369 
 
 7772 
 
 03201403 
 
 1807 
 
 5438 
 
 5841 
 
 9471 
 
 9875 
 
 03213505 
 
 3908 
 
 7538 
 
 7941 
 
 03221570 
 
 1974 
 
 5603 
 
 6006 
 
 9635 
 
 S038 
 
 03233666 
 
 4069 
 
 7697 
 
 8100 
 
 03241728 
 
 2131 
 
 5758 
 
 6161 
 
 9788 
 
 0191 
 
 03253818 
 
 4221 
 
 7847 
 
 8250 
 
 03261876 
 
 2279 
 
 5905 
 
 6308 
 
 9933 
 
 C336 
 
 03273961 
 
 4363 
 
 7988 
 
 8391 
 
 03282015 
 
 2418 
 
 6042 
 
 6444 
 
 03290068 
 
 0471 
 
 4094 
 
 4496 
 
 8119 
 
 8522 
 
 03302145 
 
 2547 
 
 6169 
 
 6572 
 
 03310194 
 
 0596 
 
 4218 
 
 4620 
 
 8241 
 
 8644 
 
 03322265 
 
 2667 
 
 6288 
 
 6690 
 
 03330310 
 
 0712 
 
 4332 
 
 4735 
 
 8354 
 
 8756 
 
 
 
 1654 
 5694 
 9733 
 3772 
 7811 
 
 1849 
 5887 
 9924 
 3961 
 7998 
 
 2034 
 6070 
 0106 
 4141 
 8176 
 
 2210 
 6244 
 
 0278 
 431 
 
 8344 8748 
 
 2377 
 6409 
 0441 
 4472 
 8503 
 
 2534 
 6564 
 0594 
 4624 
 8653 
 
 2682 
 6710 
 0738 
 4766 
 
 8793 
 
 2820 
 6847 
 0873 
 4899 
 8925 
 
 2950 
 6974 
 0999 
 5023 
 9046 
 
 3069 
 7092 
 1115 
 5137 
 9159 
 
 2058 
 6098 
 (5 1 37 
 4176 
 8215 
 
 2253 
 6291 
 5328 
 4365 
 8402 
 
 2438 
 6474 
 0510 
 4545 
 8579 
 2614 
 6648 
 0682 
 4715 
 
 2780 
 6812 
 0844 
 4875 
 8906 
 
 2937 
 6967 
 0997 
 5027 
 9056 
 
 30S5 
 7113 
 1141 
 5169 
 9196 
 
 3223 
 7250 
 1276 
 5302 
 9327 
 
 3352 
 7377 
 1401 
 5425 
 9449 
 
 3472 
 
 7495 
 1517 
 
 5539 
 95Q I 
 
 2462 
 6502 
 0541 
 4580 
 8619 
 
 2657 
 6695 
 0732 
 4769 
 8806 
 
 2842 
 6878 
 0913 
 
 4948 
 8983 
 
 3017 
 7051 
 1085 
 5118 
 9151 
 
 3183 
 7215 
 1247 
 5279 
 9310 
 
 3340 
 7370 
 1400 
 5430 
 9459 
 
 3488 
 7516 
 1544 
 5572 
 9599 
 
 3626 
 7652 
 1678 
 5704 
 9730 
 3755 
 7779 
 1803 
 5827 
 9851 
 
 3874 
 7897 
 1919 
 5941 
 9963 
 
 2866 
 6906 
 0945 
 4984 
 9023 
 
 3061 
 7098 
 1136 
 5173 
 9209 
 
 3245 
 7281 
 1317 
 5352 
 9386 
 
 3421 
 7455 
 1488 
 5521 
 9554 
 
 3587 
 7619 
 1651 
 5682 
 9713 
 
 3743 
 7773 
 1803 
 5833 
 9862 
 
 3891 
 7919 
 1947 
 5974 
 0001 
 
 4028 
 8055 
 2081 
 0107 
 0132 
 
 4157 
 8182 
 2206 
 6230 
 0253 
 4276 
 8299 
 2321 
 6343 
 0365 
 
 3270 
 7310 
 1349 
 5388 
 9426 
 
 3464 
 7502 
 1539 
 5576 
 9613 
 
 3649 
 7685 
 1720 
 
 5755 
 9790 
 
 3824 
 7858 
 1892 
 5925 
 9958 
 
 3990 
 8022 
 2054 
 6085 
 0116 
 
 4146 
 8176 
 2206 
 6236 
 0265 
 
 4293 
 8322 
 2350 
 6377 
 0404 
 
 4431 
 
 8458 
 2484 
 6509 
 0535 
 
 4560 
 8584 
 2608 
 6632 
 0656 
 
 4679 
 8701 
 2724 
 6746 
 0767 
 
 3674 
 7714 
 1753 
 5792 
 9830 
 
 3868 
 7906 
 1943 
 5980 
 0016 
 
 4052 
 8088 
 2124 
 6159 
 (5193 
 
 4227 
 8261 
 2295 
 6328 
 0361 
 
 4393 
 8425 
 2457 
 6488 
 0519 
 
 4549 
 8579 
 2609 
 6639 
 0668 
 
 8 
 
 8724 
 2752 
 6780 
 0807 
 
 4834 
 8860 
 2886 
 6912 
 0937 
 
 4962 
 8987 
 3011 
 7035 
 1058 
 
 5081 
 9104 
 3126 
 7148 
 1169 
 
 4078 
 8118 
 2157 
 6196 
 0234 
 
 4272 
 R3 10 
 2347 
 6384 
 0420 
 
 4456 
 8492 
 2527 
 6562 
 0597 
 
 4631 
 8665 
 2698 
 6731 
 0764 
 
 4796' 
 
 8828 
 
 2860 
 
 6891 
 
 0922 
 
 4952 
 8982 
 3012 
 7041 
 1070 
 
 5099 
 9127 
 3155 
 7183 
 1210 
 5236 
 9263 
 3289 
 7314 
 1340 
 
 5565 
 
 9389 
 
 3413 
 
 7437 
 
 460 
 
 5483 
 9506 
 3528 
 7550 
 1571 
 
 8 
 
 4482 
 8522 
 2561 
 6599 
 0638 
 
 4676 
 
 8713 
 2750 
 6787 
 0824 
 
 4860 
 8895 
 2931 
 6966 
 1000 
 
 5034 
 9068 
 3101 
 7134 
 1167 
 
 5199 
 9231 
 3263 
 7294 
 1325 
 
 5355 
 9385 
 3415 
 7444 
 1473 
 
 5502 
 9530 
 3558 
 7585 
 1612 
 
 5639 
 9665 
 3691 
 7717 
 1742 
 
 5767 
 9791 
 3815 
 7839 
 1862 
 
 5885 
 9908 
 3930 
 7952 
 1973 
 
 D Pro. 
 
 404 
 
 404 
 
 403 
 
 402 
 
 D 
 
 SB** 
 
(186) TABLE II. ^ 
 
 For finding Logarithms and Numhers to 20 Places of Figures. 
 
 N. 
 1 
 
 Logarithms. 
 
 
 N. 
 
 ~51 
 
 Logarithms. 
 
 00000 00000 00000 00000 
 
 70757 01760 97936 36584 
 
 2 
 
 30J02 99956 
 
 63981 
 
 19521 
 
 
 52 
 
 71600 33436 34799 15963 
 
 3 
 
 47712 12547 
 
 19662 
 
 43730 
 
 
 53 
 
 72427 58696 00789 04563 
 
 4 
 
 60205 99913 
 
 27962 
 
 39043 
 
 
 54 
 
 73259 37598 22968 507 10 
 
 5 
 
 69897 00043 
 
 36018 
 
 80479 
 
 
 55 
 
 74036 26894 94243 84554 
 
 6 
 
 77815 12503 
 
 83643 
 
 63251 
 
 
 56 
 
 74818 80270 06200 41635 
 
 7 
 
 84509 80400 
 
 14256 
 
 83071 
 
 
 51 
 
 75587 48556 72491 39883 
 
 8 
 
 90308 99869 
 
 91943 
 
 58564 
 
 
 58 
 
 76342 79935 62937 28255 
 
 9 
 
 95424 25094 
 
 39324 
 
 87459 
 
 
 59 
 
 77085 20116 42144 19026 
 
 10 
 
 00000 00000 
 
 00000 
 
 00000 
 
 
 60 
 
 77815 12503 83643 63251 
 
 11 
 
 04139 26851 
 
 58225 
 
 04075 
 
 
 61 
 
 78532 98350 10767 03389 
 
 12 
 
 07918 12460 
 
 47624 
 
 82772 
 
 
 62 
 
 79239 16894 98253 87488 
 
 13 
 
 11394 33523 
 
 06836 
 
 76921 
 
 
 63 
 
 79934 05494 535S\ 70530 
 
 14 
 
 14612 80356 
 
 78238 
 
 02593 
 
 
 64 
 
 80617 99739 83887 17128 
 
 15 
 
 17609 12590 55681 
 
 24208 
 
 
 65 
 
 81291 33566 42855 57399 
 
 16 
 
 20411 99826 
 
 55924 
 
 78085 
 
 
 66 
 
 81954 39355 41868 67326 
 
 17 
 
 23044 89213 
 
 78273 
 
 92854 
 
 
 61 
 
 82607 48027 00826 43415 
 
 18 
 
 25527 25051 
 
 03306 
 
 06980 
 
 
 68 
 
 S3250 89127 06236 31897 
 
 19 
 
 27875 36009 
 
 52828 
 
 96154 
 
 
 69 
 
 83884 90907 37255 31616 
 
 20 
 
 30102 99956 
 
 63981 
 
 19521 
 
 
 70 
 
 84509 80400 14256 83071 
 
 21 
 
 32221 92947 
 
 33919 
 
 26801 
 
 
 71 
 
 85125 83487 19075 28609 
 
 22 
 
 34242 26808 
 
 22206 
 
 23596 
 
 
 72 
 
 85733 24964 31268 46023 
 
 23 
 
 36172 78360 
 
 17592 
 
 87887 
 
 
 73 
 
 86332 28601 20455 90107 
 
 24 
 
 38021 12417 
 
 11606 
 
 02294 
 
 
 74 
 
 86923 17197 30976 19202 
 
 25 
 
 39794 00086 
 
 72037 
 
 60957 
 
 
 75 
 
 87506 12633 91700 04687 
 
 26 
 
 41497 33479 
 
 70817 
 
 96442 
 
 
 76 
 
 88081 35922 80791 35196 
 
 27 
 
 43136 37641 
 
 58987 
 
 31189 
 
 
 77 
 
 88649 07251 72481 87146 
 
 28 
 
 44715 80313 
 
 42219 
 
 22114 
 
 
 78 
 
 89209 46026 90480 40172 
 
 29 
 
 46239 79978 
 
 98956 08733 
 
 
 79 
 
 89762 70912 90441 42799 
 
 30 
 
 47712 12547 
 
 19662 
 
 43730 
 
 
 80 
 
 90308 99869 91943 58564 
 
 31 
 
 49136 16938 
 
 34272 67967 
 
 
 81 
 
 90848 50188 78649 74918 
 
 32 
 
 50514 99783 
 
 19905 
 
 97607 
 
 
 82 
 
 91381 38523 83716 68972 
 
 33 
 
 51851 39398 
 
 77887 
 
 47805 
 
 
 83 
 
 91907 80923 76073 90383 
 
 34 
 
 53147 89170 42255 
 
 12375 
 
 
 84 
 
 92427 92860 61881 65843 
 
 35 
 
 54406 80443 
 
 50275 
 
 63550 
 
 
 85 
 
 92941 89257 14292 73333 
 
 56 
 
 55630 25007 
 
 67287 
 
 26502 
 
 
 86 
 
 93449 84512 43567 72162 
 
 37 
 
 56820 17240 66994 
 
 99681 
 
 
 87 
 
 93951 92526 18618 52463 
 
 38 
 
 57978 35966 
 
 1681.0 
 
 15675 
 
 
 88 
 
 94448 26721 50168 62639 
 
 39 
 
 59106 46070 26499 
 
 20650 
 
 
 89 
 
 94939 00066 44912 78472 
 
 40 
 
 60205 99913 
 
 27962 
 
 39043 
 
 
 90 
 
 95424 25094 39324 87459 
 
 41 
 
 61278 38567 
 
 19735 
 
 49451 
 
 
 91 
 
 95904 13923 21093 59992 
 
 42 
 
 62324 92903 
 
 97900 
 
 46322 
 
 
 92 
 
 96378 78273 ^5555 26930 
 
 43 
 
 63346 84555 
 
 79586 
 
 52641 
 
 
 93 
 
 96848 29485 53935 11696 
 
 44 
 
 64345 26764 
 
 86187 
 
 43118 
 
 
 94 
 
 97312 78535 99698 65963 
 
 45 
 
 65321 25137 
 
 75343 67938 
 
 
 95 
 
 97772 36052 88847 76632 
 
 46 
 
 66275 78316 
 
 81574 07408 
 
 
 96 
 
 98227 12330 39568 41336 
 
 47 
 
 67209 78579 
 
 35717 
 
 46441 
 
 
 97 
 
 98677 17342 66244 85178 
 
 48 
 
 68124 12373 75587 
 
 21815 
 
 
 98 
 
 99122 60756 92494 85664 
 
 49 
 
 69019 60800 28513 
 
 66142 
 
 
 99 
 
 99563 51945 97549 91534 
 
 50 
 
 69897 00043 
 
 36018 
 
 80479 
 
 
 100 
 
 00000 00000 00000 00000 
 
.Tab. 2. LOGARITHMS TO 20 PLACES. (187) 
 
 N. 
 
 101 
 
 Logarithms. 
 
 
 N. 
 
 151 
 
 Logarithms. 
 
 00432 13737 82642 57428 
 
 17897 
 
 69472 93169 43687 
 
 102 
 
 00860 01717 61917 56105 
 
 
 152 
 
 18184 
 
 35879 44772 54718 
 
 103 
 
 01283 72247 05172 20517 
 
 
 153 
 
 18469 
 
 14308 17598 80313 
 
 104. 
 
 01703 33392 98780 35485 
 
 
 154 
 
 18752 
 
 07208 36463 06668 
 
 105 
 
 02118 92990 69938 07279 
 
 
 155 
 
 19033 
 
 16981 70291 48445 
 
 106 
 
 02530 58652 64770 24085 
 
 
 156 
 
 19312 
 
 45983 54461 59693 
 
 107 
 
 02938 37776 85209 64083 
 
 
 157 
 
 19589 
 
 96524 09233 73676 
 
 108 
 
 03342 37554 86949 70231 
 
 
 158 
 
 19865 
 
 70869 54422 62321 
 
 109 
 
 03742 64979 40623 63520 
 
 
 159 
 
 20139 
 
 71243 20451 48293 
 
 110 
 
 04139 26851 58225 04075 
 
 
 160 
 
 20411 
 
 99826 55924 78085 
 
 111 
 
 04532 29787 86657 43410 
 
 
 161 
 
 20682 
 
 58760 31849 70958 
 
 112 
 
 04921 80226 70181 61157 
 
 
 162 
 
 20951 
 
 50145 42630 94439 
 
 113 
 
 05307 84434 83419 72280 
 
 
 163 
 
 21218 
 
 76044 03957 80764 
 
 114- 
 
 05690 48513 36472 59405 
 
 
 164 
 
 21484 38480 47697 88494 
 
 115 
 
 06069 78403 53611 68365 
 
 
 165 
 
 21748 
 
 39442 13906 282S3 
 
 116 
 
 06445 79892 26918 47776 
 
 
 166 
 
 22010 
 
 80880 40055 09905 
 
 117 
 
 06818 58617 46161 64380 
 
 
 167 
 
 22271 
 
 64711 47583 27998 
 
 118 
 
 07188 20073 06125 38547 
 
 
 168 
 
 22530 
 
 92817 25862 85365 
 
 119 
 
 07554 69613 92530 75925 
 
 
 169 
 
 22788 
 
 67046 13673 53841 
 
 120 
 
 07918 12460 47624 82772 
 
 
 170 
 
 23044 
 
 89213 78273 92854 
 
 121 
 
 08278 53703 16450 08150 
 
 
 171 
 
 23299 
 
 61103 92153 83613 
 
 122 
 
 08635 98306 74748 22910 
 
 
 172 
 
 23552 
 
 84469 07548 91683 
 
 123 
 
 08990 51114 39397 93180 
 
 
 173 
 
 23804 
 
 61031 28795 41456 
 
 124 
 
 09342 16851 62235 07009 
 
 
 174 
 
 24054 
 
 92482 82599 71984 
 
 125 
 
 09691 00130 08056 41436 
 
 
 175 
 
 24303 
 
 80486 86294 44028 
 
 126 
 
 10037 05451 17562 90052 
 
 
 176 
 
 24551 
 
 26678 14149 82161 
 
 127 
 
 10380 37209 55956 86425 
 
 
 177 
 
 24797 
 
 32663 61806 62756 
 
 128 
 
 10720 99696 47868 36650 
 
 
 178 
 
 25042 00023 08893 97994! 
 
 129 
 
 11058 97102 99248 9^370 
 
 
 179 
 
 25285 
 
 30309 79893 16957 
 
 130 
 
 11394 33523 06836 76921 
 
 
 180 
 
 25527 
 
 25051 03306 06980 
 
 131 
 
 11727 12956 55764 26081 
 
 
 181 
 
 25767 
 
 85748 69184 51029 
 
 132 
 
 12057 39312 05849 86847 
 
 
 182 
 
 26007 
 
 13879 85074 79513 
 
 133 
 
 12385 16409 67085 79225 
 
 
 183 
 
 26245 
 
 10897 30429 47118 
 
 134 
 
 12710 47983 64807 62936 
 
 
 184 
 
 26481 
 
 78230 09536 46451 
 
 135 
 
 13033 37684 95006 11667 
 
 
 185 
 
 26717 
 
 17284 03013 80159 
 
 136 
 
 13353 89083 70217 51418 
 
 
 186 
 
 26951 
 
 29442 17916 31218 
 
 137 
 
 13672 05671 56406 76856 
 
 
 187 
 
 27184 
 
 16065 36498 96929 
 
 138 
 
 13987 90864 01236 51138 
 
 
 188 
 
 27415 
 
 78492 63679 85484 
 
 139 
 
 14301 48002 54095 08046 
 
 
 189 
 
 27646 
 
 18041 73244 14260 
 
 140 
 
 14612 80356 78238 02593 
 
 
 190 
 
 27875 
 
 36009 52828 96154 
 
 141 
 
 14921 91126 55379 90171 
 
 
 191 
 
 28103 
 
 33672 47727 53764 
 
 142 
 
 15228 83443 83056 48131 
 
 
 192 
 
 28330 
 
 12287 03549 60858 
 
 143 
 
 15533 60374 6506^1 80996 
 
 
 193 
 
 28555 
 
 73090 07773 76060 
 
 144 
 
 15836 24920 95249 6554^5 
 
 
 194 
 
 28780 
 
 J 7299 30226 04700 
 
 145 
 
 16136 80022 34974 89212 
 
 
 195 
 
 29003 
 
 46113 62518 01129 
 
 146 
 
 16435 28557 84437 09629 
 
 
 196 
 
 29225 
 
 60713 56476 05185 
 
 147 
 
 16731 73347 48176 09872 
 
 
 197 
 
 29446 
 
 62261 ^1592 92737 
 
 148 
 
 17026 17153 94957 38724 
 
 
 198 
 
 29666 
 
 51902 61531 11055 
 
 149 
 
 17318 62684 12274 03826 
 
 199| 
 
 29885 
 
 30764 09706 6501ol 
 
 150 
 
 17609 12590 55681 24208 J200| 
 
 30102 
 
 99956 63981 19521 
 
 3B2 
 
om . 
 
 
 LOGARITHMS 
 
 Tab. 2. 
 
 N. 
 
 2(71 
 
 Logar 
 
 ithms. 
 
 
 
 N. 
 
 251 
 
 Logarithms. 
 
 30319 60574 
 
 20488 
 
 87144 
 
 39967 
 
 37214 81038 
 
 13934 
 
 202 
 
 :i0535 13694 
 
 46623 
 
 76949 
 
 
 252 
 
 40140 05407 81544 09573 | 
 
 203 
 
 30749 60379 
 
 13212 
 
 91805 
 
 
 253 
 
 40312 
 
 05211 75817 
 
 91962 
 
 204 
 
 30963 01674 
 
 25898 
 
 75626 
 
 
 254 
 
 40483 
 
 37166 19938 
 
 05946 
 
 205 
 
 31175 38610 55754 29930 
 
 ' 
 
 255 
 
 40654 
 
 01804 33955 
 
 17062 
 
 206 
 
 31386 72203 
 
 69153 
 
 40038 
 
 
 256 
 
 40823 
 
 99653 11849 
 
 56171 
 
 207 
 
 31597 03454 
 
 56917 
 
 75346 
 
 
 257 
 
 40993 
 
 31233 31294 53710| 
 
 208 
 
 31806 33349 
 
 62761 
 
 55006 
 
 
 258 
 
 41161 
 
 97059 63230 
 
 15891 
 
 209 
 
 32014 62861 
 
 11054 
 
 00229 
 
 
 259 
 
 41329 
 
 97640 81251 
 
 82752 
 
 210 
 
 32221 92947 
 
 33919 
 
 26801 
 
 
 260 
 
 41497 
 
 33479 70817 
 
 96442 
 
 211 
 
 32428 24552 
 
 97692 
 
 66508 
 
 
 261 
 
 41664 05073 38280 
 
 96192 
 
 212 
 
 32633 58609 
 
 28751 
 
 48606 
 
 
 262 
 
 41830 
 
 12913 19745 
 
 45602 
 
 213 
 
 32837 96034 
 
 38737 
 
 72339 
 
 
 263 
 
 41995 
 
 57484 89757 
 
 86S97 
 
 214 
 
 33041 37733 
 
 49190 
 
 83605 
 
 
 264 
 
 42160 
 
 39268 69831 
 
 06369 
 
 215 
 
 33243 84599 
 
 15605 
 
 33119 
 
 
 265 
 
 42324 
 
 58739 36807 
 
 85042 
 
 210 
 
 33445 37511 
 
 50930 
 
 89753 
 
 
 266 
 
 42488 
 
 16366 31066 
 
 98746 
 
 217 
 
 336^1-5 9733S 
 
 48529 
 
 51038 
 
 
 267 
 
 42651 
 
 12613 64575 
 
 22202 
 
 218 
 
 33845 64936 
 
 04604 
 
 83041 
 
 
 268 
 
 42813 
 
 47940 28788 
 
 82458 
 
 219 
 
 34044 41148 
 
 40118 
 
 33837 
 
 
 269 
 
 42975 
 
 22800 02407 
 
 98009 
 
 220 
 
 34242 26808 
 
 22206 
 
 23596 
 
 
 270 
 
 43136 
 
 37641 58987 
 
 31189 
 
 221 
 
 34439 22736 
 
 85110 
 
 69775 
 
 
 271 
 
 43296 
 
 92908 74405 
 
 72952 
 
 222 
 
 34635 29744 50638 
 
 62952 
 
 
 272 
 
 43456 
 
 89040 34198 
 
 70940 
 
 223 
 
 34830 48630 
 
 48160 
 
 67348 
 
 
 273 
 
 43616 
 
 26470 40756 
 
 03721 
 
 224 
 
 35024 80183 
 
 34162 
 
 80678 
 
 
 274 
 
 43775 
 
 05628 20387 
 
 96378 
 
 225 
 
 35218 25181 
 
 11362 
 
 48416 
 
 
 275 
 
 43933 
 
 26938 30262 
 
 65032 
 
 226 
 
 35410 84391 
 
 47400 
 
 91801 
 
 
 276 
 
 44090 
 
 90820 65217 
 
 70659 
 
 227 
 
 35602 58571 
 
 93122 
 
 72010 
 
 
 277 
 
 44247 
 
 97690 64448 
 
 55378 
 
 228 
 
 35793 48470 00453 
 
 78926 
 
 
 278 
 
 44404 
 
 47959 18076 
 
 27567 
 
 229 
 
 35983 54823 
 
 39887 
 
 99413 
 
 
 279 
 
 44560 
 
 42032 73597 
 
 55426 
 
 230 
 
 36172 78360 
 
 17592 
 
 87887 
 
 
 280 
 
 44715 
 
 80313 42219 
 
 22114 
 
 231 
 
 36361 19798 
 
 92144 
 
 30876 
 
 
 281 
 
 44870 63199 05079 
 
 89286 
 
 232 
 
 36548 79848 
 
 90899 
 
 67297 
 
 
 282 
 
 45024 
 
 91083 19361 
 
 09692 
 
 233 
 
 36735 59210 26018 
 
 97219 
 
 
 283 
 
 45178 
 
 64-355 24290 
 
 23556 
 
 234 
 
 36921 58574 
 
 10142 
 
 83901 
 
 
 284 
 
 45531 
 
 83400 47037 
 
 67652 
 
 235 
 
 37106 78622 
 
 71736 
 
 26920 
 
 
 285 
 
 45484 48600 08510 20362 
 
 236 
 
 37291 20029 70106 58069 
 
 
 286 
 
 45636 
 
 60331 29043 
 
 00517 
 
 237 
 
 37474 83460 
 
 10103 
 
 86529 
 
 
 287 
 
 45788 
 
 18967 33992 
 
 32522 
 
 238 
 
 37657 69570 
 
 56511 
 
 95447 
 
 
 288 
 
 45939 
 
 24877 59230 
 
 85066 
 
 239 
 
 37839 79009 
 
 48137 
 
 68500 
 
 
 289 
 
 46089 
 
 78427 56547 
 
 85708 
 
 240 
 
 38021 12417 
 
 11606 
 
 02294 
 
 
 290 
 
 46239 
 
 79978 98956 
 
 08733 
 
 241 
 
 38201 70425 
 
 74868 
 
 38408 
 
 
 291 
 
 46389 
 
 29&89 85907 
 
 28908 
 
 242 
 
 38381 53659 
 
 80431 
 
 27671 
 
 
 292 
 
 46538 
 
 28514 48418 
 
 29150 
 
 243 
 
 38560 62735 
 
 98312 
 
 18648 
 
 
 293 
 
 46686 76203 54109 
 
 45624 
 
 244 
 
 38738 98263 
 
 38729 
 
 42431 
 
 
 294 
 
 46834 
 
 73304 12157 
 
 29393 
 
 245 
 
 38916 60843 64532 46621 
 
 
 295 
 
 46982 
 
 20159 78162 
 
 99505 
 
 246 
 
 39093 51071 
 
 03379 
 
 12702 
 
 
 296 
 
 47129 
 
 17110 58938 
 
 58245 
 
 247 
 
 39269 69532 
 
 59665 
 
 73074 
 
 
 297 
 
 47275 
 
 64493 17212 
 
 35264 
 
 248 
 
 39445 16808 26216 26531 
 
 
 298 
 
 47421 
 
 62640 76255 
 
 23347 
 
 ^49 
 
 39619 93470 95736 
 
 34113 
 
 
 299 
 
 47567 
 
 11883 24429 
 
 64807 
 
 i250 
 
 39794 00086 72037 
 
 60957 
 
 
 300 
 
 47712 
 
 12547 19662 4.3730j 
 
Tab. 2. TO 20 places. 
 
 (189)1 
 
 N. 
 
 301 
 
 Logarithms. 
 
 
 N. 
 
 35] 
 
 Logarithms. 
 
 47856 64955 93843 35712 
 
 54530 
 
 71164 65824 08109 
 
 302 
 
 48000 69429 57150 63208 
 
 
 352 
 
 54654 
 
 26634 78131 01682 
 
 303 
 
 48144 26285 02305 01157 
 
 
 353 
 
 54777 
 
 47053 87822 56550 
 
 301. 
 
 48287 35836 08753 74239 
 
 
 354 
 
 54900 32620 25787 82277 | 
 
 305 
 
 48429 98393 46785 83867 
 
 
 355 
 
 55022 
 
 83530 55094 09088 
 
 306 
 
 48572 14264 81579 99834 
 
 
 356 
 
 55144 
 
 99979 72875 17515 
 
 307 
 
 48713 83754 77186 48475 
 
 
 357 
 
 55266 
 
 82161 12193 19655 
 
 308 
 
 48855 07165 00444 26189 
 
 
 358 
 
 55388 
 
 30266 43874 36478 
 
 309 
 
 48995 84794 24834 64247 
 
 
 359 
 
 55509 
 
 44485 78319 14782 
 
 310 
 
 49136 16938 34272 67967 
 
 
 360 
 
 55630 25007 67287 26502 
 
 311 
 
 49276 03890 26837 50555 
 
 
 361 
 
 55750 72019 05657 92307 
 
 312 
 
 49415 45940 18442 79214 
 
 
 362 
 
 55870 
 
 85705 33165 70550 
 
 313 
 
 49554 43375 46448 48481 
 
 
 363 
 
 55990 66250 36112 5188o| 
 
 314 
 
 49692 96480 73214 93198 
 
 
 364 
 
 56110 
 
 13836 49055 99035 
 
 315 
 
 49831 05537 89600 51009 
 
 
 365 
 
 56229 
 
 28644 56474 70586 
 
 316 
 
 49968 70826 18403 81842 
 
 
 366 
 
 56348 
 
 10853 94410 66639 
 
 317 
 
 50105 92622 17751 49455 
 
 
 367 
 
 56466 
 
 60642 52089 33799 
 
 318 
 
 50242 71199 84432 67814 
 
 
 368 
 
 56584 
 
 78186 73517 65972 
 
 319 
 
 50379 06830 57181 12808 
 
 
 369 
 
 56702 
 
 63661 59060 36910 
 
 320 
 
 50514 99783 19905 97607 
 
 
 370 
 
 56820 
 
 17240 66994 99681 
 
 321 
 
 50650^50324 04872 07813 
 
 
 371 
 
 56937 
 
 39096 1504^5 87635 
 
 322 
 
 50785 58716 95830 90479 
 
 
 372 
 
 57054 
 
 29398 SI897 50739 
 
 323 
 
 50920 25223 31102 89008 
 
 
 373 
 
 57170 
 
 88318 08687 60551 
 
 324 
 
 51054 50102 06612 13961 
 
 
 374 
 
 57287 
 
 16022 00480 16450 
 
 325 
 
 51188 33609 78874 37878 
 
 
 375 
 
 57403 
 
 12677 27718 S5165 
 
 326 
 
 51321 76000 67939 00285 
 
 
 376 
 
 57518 
 
 78449 27661 05006 
 
 327 
 
 51454 77526 60286 07250 
 
 
 377 
 
 57634 
 
 13502 05792 85654- 
 
 328 
 
 51587 38437 11679 08015 
 
 
 378 
 
 57749 
 
 17998 37225 33781 
 
 329 
 
 51719 58979 49974 29513 
 
 
 379 
 
 57863 
 
 92099 68072 34193 
 
 330 
 
 51851 39398 77887 47805 
 
 
 380 
 
 57978 
 
 35906 16810 15675 
 
 331 
 
 51982 79937 75718 73861 
 
 
 381 
 
 58092 
 
 49756 75619 30154 
 
 332 
 
 52113 80837 04036 29426 
 
 
 382 
 
 58206 
 
 33629 11708 73285 
 
 333 
 
 52244 42335 06319 87140 
 
 
 383 
 
 58319 
 
 87739 68622 74038 
 
 334 
 
 52374 64668 11564 47520 
 
 
 384 
 
 58433 
 
 12243 67530 80379 
 
 335 
 
 52504 48070 36845 23894 
 
 
 385 
 
 58546 072:^5 08500 67625] 
 
 336 
 
 52633 92773 89844 04886 
 
 
 386 
 
 58658 
 
 73046 71754 95581 
 
 337 
 
 52762 99008 71338 62619 
 
 
 387 
 
 58771 
 
 09650 18911 40100 
 
 338 
 
 52891 67002 77654 73363 
 
 
 388 
 
 58883 
 
 17255 94207 24221 
 
 339 
 
 53019 96982 03082 16009 
 
 
 389 
 
 58994 
 
 96013 25707 73624 
 
 340 
 
 53147 89170 42255 12375 
 
 
 390 
 
 59106 
 
 46070 26499 20650 
 
 341 
 
 53275 43789 92497 72042 
 
 
 391 
 
 59217 
 
 67573 95866 80741 
 
 342 
 
 53402 61060 56135 03134 
 
 
 392 
 
 59328 
 
 60670 20457 24707 
 
 343 
 
 53529 41200 42770 49214 
 
 
 393 
 
 59439 
 
 25503 75426 69811 
 
 344 
 
 53655 84425 71530 11205 
 
 
 394 
 
 59549 
 
 62218 25574 12259 
 
 345 
 
 53781 90950 73274 12095 
 
 
 395 
 
 59659 70956 26460 23278 j 
 
 346 
 
 53907 60987 92776 60977 
 
 
 396 
 
 59769 
 
 51859 25512 30577 
 
 347 
 
 54032 94747 90873 71854 
 
 
 397 
 
 59879 
 
 05067 63115 06588 
 
 348 
 
 54157 92439 46580 91506 
 
 
 398 
 
 59988 
 
 30720 73687 84531 
 
 349 
 
 54282 54269 59179 89654 
 
 
 399 
 
 60097 
 
 28956 86748 22954 
 
 350 
 
 54406 80443 50275 63550 
 
 
 400 
 
 60205 
 
 99913 27962 39043 
 
090) 
 
 
 LOGARITHMS 
 
 
 Tab. 2. 
 
 N. 
 
 401 
 
 
 Logarithms 
 
 
 
 N. 
 
 451 
 
 Logarithms. 
 
 60314 
 
 43726 20182 
 
 30654 
 
 65417 
 
 65418 
 
 77960 53526 
 
 402 
 
 60422 
 
 60530 84470 
 
 06666 
 
 
 452 
 
 65513 
 
 84348 
 
 11382 11322 
 
 403 
 
 60530 
 
 50461 41109 
 
 44887 
 
 
 453 
 
 65609 
 
 82020 
 
 12831 87416 
 
 404 
 
 60638 
 
 13651 10604 
 
 96470 
 
 
 454 
 
 65705 
 
 58528 
 
 57103 91532 
 
 405 
 
 60745 
 
 50232 14668 
 
 55397 
 
 
 455 
 
 65801 
 
 13966 
 
 57112 40470 
 
 406 
 
 60852 
 
 60335 77194 
 
 11326 
 
 
 456 
 
 65896 
 
 48426 
 
 64434 98447 
 
 407 
 
 60959 
 
 44092 25220 
 
 03756 
 
 
 457 
 
 65991 
 
 620GO 
 
 69850 22235 
 
 40 S 
 
 61066 
 
 01630 89879 
 
 95148 
 
 
 458 
 
 66086 
 
 54780 03869 1S934[ 
 
 409 
 
 61172 
 
 33080 07341 
 
 80361 
 
 
 459 
 
 66181 
 
 26855 
 
 37261 24043 
 
 410 
 
 61278 
 
 38567 19735 
 
 49451 
 
 
 460 
 
 66275 
 
 78316 
 
 81574 07408 
 
 411 
 
 61384 
 
 18218 76069 
 
 20586 
 
 
 461 
 
 66370 
 
 09253 
 
 89648 14507 
 
 412 
 
 61489 
 
 72160 33134 59560 
 
 
 462 
 
 66464 
 
 19755 
 
 56125 50)97 
 
 413 
 
 61595 
 
 00516 56401 
 
 020P7 
 
 
 463 
 
 66558 
 
 09910 
 
 17953 13567 
 
 414 
 
 61700 
 
 03411 20898 
 
 94867 
 
 
 464 
 
 66651 
 
 79805 
 
 54880 86819 
 
 415 
 
 61804 
 
 80967 12092 
 
 70862 
 
 
 465 
 
 66745 
 
 29528 
 
 89953 92175 
 
 416 
 
 61909 
 
 33306 26742 
 
 74528 
 
 
 466 
 
 66838 
 
 59166 
 
 90000 16740 
 
 417 
 
 62013 
 
 60549 73757 
 
 51775 
 
 
 467 
 
 66931 
 
 68805 
 
 66112 16309 
 
 418 
 
 621 17 
 
 62817 75035 
 
 19750 
 
 
 468 
 
 67024 58530 74124 03422| 
 
 419 
 
 62221 
 
 40229 66295 
 
 30985 
 
 
 469 
 
 67117 
 
 28427 
 
 15083 26486 
 
 420 
 
 62324 
 
 92903 97900 
 
 46322 
 
 
 470 
 
 67209 
 
 78579 
 
 35717 46441 
 
 421 
 
 62428 
 
 20958 35668 
 
 30744 
 
 
 471 
 
 67302 09071 
 
 28896 17406 
 
 422 
 
 62531 
 
 24509 61673 
 
 86030 
 
 
 472 
 
 67394 
 
 19986 
 
 34087 77590 
 
 423 
 
 62634 
 
 03673 75042 
 
 33900 
 
 
 473 
 
 67486 
 
 11407 
 
 37811 56716 
 
 424 
 
 62736 
 
 5S565 92732 
 
 63127 
 
 
 474 
 
 67577 
 
 83416 
 
 74085 06050 
 
 425 
 
 62838 
 
 89300 50311 
 
 53811 
 
 
 475 
 
 67669 
 
 36096 
 
 24866 57111 
 
 426 
 
 62940 
 
 95991 02718 
 
 91860 
 
 
 476 
 
 67760 
 
 69527 
 
 20493 14968 
 
 427 
 
 63042 
 
 78750 25023 
 
 86460 
 
 
 477 
 
 67851 
 
 83790 
 
 40113 92022 
 
 428 
 
 63144 
 
 37690 13172 
 
 03126 
 
 
 478 
 
 67942 
 
 78966 
 
 12118 88022 
 
 429 
 
 63245 72921 84724 
 
 24725 
 
 
 479 
 
 68033 
 
 55134 
 
 14563 22010 
 
 430 
 
 63346 
 
 84555 79586 
 
 52641 
 
 
 480 
 
 68124 
 
 12373 
 
 75587 21815 
 
 431 
 
 63.447 
 
 72701 60731 
 
 60075 
 
 
 481 
 
 68214 50763 
 
 73831 76601 
 
 432 
 
 63548 
 
 37468 14912 09274 
 
 
 482 
 
 68304 
 
 70382 
 
 38849 57929 
 
 433 
 
 63648 
 
 78963 53365 
 
 44270 
 
 
 483 
 
 68394 71307 
 
 51512 14688 
 
 434 
 
 63748 
 
 97295 12510 70559 
 
 
 484 
 
 68484 
 
 53616 
 
 44412 47193 
 
 435 
 
 63848 
 
 92569 54637 
 
 32941 
 
 
 485 
 
 68574 
 
 17386 
 
 02263 65657 
 
 436 
 
 63948 64892 68586 02563 
 
 
 486 
 
 68663 
 
 62692 
 
 62293 38169 
 
 437 
 
 64048 
 
 14369 70421 
 
 84040 
 
 
 487 
 
 68752 89612 
 
 14634 33246 
 
 438 
 
 64147 
 
 41105 04099 
 
 53358 
 
 
 488 
 
 68841 
 
 98220 
 
 02710 61953 
 
 439 
 
 64246 
 
 45202 42121 
 
 37063 
 
 
 489 
 
 68930 
 
 88591 
 
 23620 24494 
 
 440 
 
 64345 
 
 26764 86187 
 
 43118 
 
 
 490 
 
 69019 
 
 60800 
 
 28513 66142 
 
 441 
 
 64443 
 
 85894 67838 
 
 53601 
 
 
 491 
 
 69108 
 
 14921 
 
 22968 47275 
 
 442 
 
 64542 22693 49091 
 
 89296 
 
 
 492 
 
 69196 
 
 51027 
 
 67360 32223 
 
 443 
 
 64640 
 
 37262 23069 
 
 56023 
 
 
 493 
 
 69284 69192 77230 015871 
 
 444 
 
 64738 
 
 29701 14619 
 
 82453 
 
 
 494 
 
 69372 
 
 69489 
 
 23646 92596 
 
 445 
 
 64836 
 
 00109 80931 
 
 58951 
 
 
 495 
 
 69460 51989 33568 72013| 
 
 446 
 
 64933 
 
 48587 12141 
 
 86869 
 
 
 496 
 
 69548 
 
 16764 90197 460521 
 
 447 
 
 65030 75231 31936 
 
 47555 
 
 
 497 
 
 69635 
 
 63887 
 
 33332 11681 
 
 448 
 
 65127 
 
 80139 98144 00199 
 
 
 498 
 
 69722 
 
 93427 
 
 59717 53634 
 
 449 
 
 65224 
 
 63410 03323 
 
 17492 
 
 
 499 
 
 69810 05456 
 
 23389 91417 
 
 450 
 
 65321 
 
 25137 75343 
 
 67938 
 
 
 500 
 
 69897 
 
 00043 
 
 36018 80479 
 
Tab. 2. TO 20 PLACES. 
 
 (191)1 
 
 N. 
 
 501 
 
 Logarithms. 
 
 
 N. 
 
 557 
 
 Logarithms. 
 
 69983 77258 67245 71728 
 
 74115 15988 
 
 51785 04887 
 
 502 
 
 70070 37171 45019 33455 
 
 
 552 
 
 74193 90777 
 
 29198 90180 
 
 503 
 
 70156 79850 55927 39710 
 
 
 553. 
 
 74272 51313 
 
 04698 25871 
 
 504 
 
 70243 05364 45525 29094 
 
 
 554 
 
 74350 97647 
 
 28429 74899 
 
 505 
 
 70329 13781 18661 37906 
 
 
 555 
 
 74429 29831 
 
 22676 23889 
 
 506 
 
 70415 05168 39799 11483 
 
 
 556 
 
 74507 47915 
 
 82057 47088 
 
 507 
 
 70500 79593 33335 97571 
 
 
 557 
 
 74585 51951 
 
 73728 90044 
 
 508 
 
 70586 37122 83919 25467 
 
 
 558 
 
 74663 41989 
 
 37578 74947 
 
 509 
 
 70671 77823 36758 74657 
 
 
 559 
 
 74741 18078 
 
 86423 29561 
 
 510 
 
 70757 01760 97936 365S4^ 
 
 
 560 
 
 74818 80270 06200 41635] 
 
 511 
 
 70842 09001 34712 13179 
 
 
 561 
 
 74896 28612 
 
 56161 40659 
 
 512 
 
 70926 99609 75830 75692 
 
 
 562 
 
 74973 63155 
 
 69061 08808 
 
 513 
 
 71011 73651 11816 27342 
 
 
 563 
 
 75050 83948 
 
 51346 22909 
 
 514 
 
 71096 31189 95275 73238 
 
 
 564 
 
 75127 91039 
 
 83342 29214 
 
 515 
 
 71180 72290 41191 00996 
 
 
 565 
 
 75204 84478 
 
 19438 52758 
 
 516 
 
 71264 97016 27211 35413 
 
 
 566 
 
 75281 64311 
 
 88271 43077 
 
 517 
 
 71349 05430 93942 50516 
 
 
 567 
 
 75358 30588 
 
 92906 57989 
 
 518 
 
 71432 97597 45233 02273 
 
 
 568 
 
 75434 83357 
 
 11018 87173 
 
 519 
 
 71516 73578 48457 85186 
 
 
 569 
 
 75511 22663 
 
 95071 17229 
 
 520 
 
 71600.33436 34799 15963 
 
 
 570 
 
 75587 48556 
 
 72491 39883 
 
 521 
 
 71683 77232 99524 47424 
 
 
 571 
 
 75663 61082 
 
 45848 05004 
 
 522 
 
 71767 05030 02262 15714 
 
 
 572 
 
 75739 60287 
 
 93024 20038 
 
 523 
 
 71850 16888 67274 23926 
 
 
 573 
 
 75815 46219 
 
 67389 97493 
 
 524 
 
 71933 12869 83726 65124 
 
 
 574 
 
 75891 18923 
 
 97973 52044 
 
 525 
 
 72015 93034 05956 87758 
 
 
 575 
 
 75966 78446 
 
 89630 48844 
 
 526 
 
 72098 57441 53739 06419 
 
 
 576 
 
 76042 24834 
 
 23212 04587 
 
 527 
 
 72181 06152 12546 60821 
 
 
 577 
 
 76117 58131 
 
 55731 42849 
 
 528 
 
 72263 39225 33812 25890 
 
 
 578 
 
 76192 78384 20529 05229 | 
 
 529 
 
 72345 56720 35185 75774 
 
 
 579 
 
 76267 85637 
 
 27436 19789 
 
 530 
 
 72427 58696 00789 04563 
 
 
 580 
 
 76342 79935 
 
 62937 28255 
 
 531 
 
 72509 45210 81469 06485 
 
 
 581 
 
 76417 61323 
 
 90330 73454 
 
 532 
 
 72591 16322 95048 18268 
 
 
 582 
 
 76492 29846 
 
 49888 48429 
 
 533 
 
 72672 72090 26572 26372 
 
 
 583 
 
 76566 85547 
 
 59014 08638 
 
 534 
 
 72754 12570 28556 41723 
 
 
 584 
 
 76641 28471 
 
 12399 48672 
 
 535 
 
 72835 37820 21228 44562 
 
 
 585 
 
 76715 58660 
 
 82180 44858 
 
 536 
 
 72916 47896 92770 01979 
 
 
 586 
 
 76789 76160 
 
 18090 65146 
 
 537 
 
 72997 42856 99555 60687 
 
 
 587 
 
 76863 81012 
 
 47614 47606 
 
 538 
 
 73078 22756 66389 17530 
 
 
 588 
 
 76937 73260 76138 48915 | 
 
 539 
 
 73158 87651 86738 70217 
 
 
 589 
 
 77011 52947 
 
 87101 64120 
 
 540 
 
 73239 37598 22968 50710 
 
 
 590 
 
 77085 20116 
 
 42144 19026 
 
 541 
 
 73319 72651 06569 43688 
 
 
 591 
 
 77158 74808 
 
 81255 36467 
 
 542 
 
 73399 92865 38386 92473 
 
 
 592 
 
 77232 17067 
 
 22919 77766 
 
 543 
 
 73479 98295 88846 94758 
 
 
 593 
 
 77305 46933 
 
 64262 60640 
 
 544 
 
 73559 88996 98179 90461 
 
 
 594 
 
 77378 64449 
 
 81193 54785 
 
 545 
 
 73639 65022 76642 43999 
 
 
 595 
 
 77451 69657 
 
 28549 56404 
 
 546 
 
 73719 26427 04737 23243 
 
 
 596 
 
 77524 62597 
 
 40236 42868 
 
 547 
 
 73798 73263 33430 77381 
 
 
 597 
 
 77597 43311 
 
 29369 08740 
 
 548 
 
 73878 05584 84369 15899 
 
 
 598 
 
 77670 11839 
 
 88410 84329 
 
 549 
 
 73957 23444 50091 90848 
 
 599 
 
 77742 68223 
 
 89311 37983 
 
 550 
 
 74036 26894 94243 84554 
 
 600 
 
 77815 12503 
 
 83643 63251 
 
(192) 
 
 
 
 LOGARITHMS 
 
 
 Tab. 2.1 
 
 N. 
 
 601 
 
 Logarithms. 
 
 
 N. 
 
 651 
 
 Logarithms. 
 
 77887 
 
 44720 02739 
 
 52089 
 
 81358 
 
 09885 
 
 68191 
 
 94767 
 
 602 
 
 77959 
 
 64912 57824 55233 
 
 
 652 
 
 81424 75957 
 
 31920 
 
 19807 
 
 603 
 
 78031 
 
 73121 
 
 40151 
 
 30874 
 
 
 653 
 
 81491 
 
 31812 
 
 75073 
 
 92143 
 
 604 
 
 78103 
 
 69386 
 
 21131 
 
 82730 
 
 
 654 
 
 81557 
 
 77483 
 
 24267 
 
 26771 
 
 605 
 
 78175 
 
 53746 
 
 52468 
 
 88629 
 
 
 655 
 
 81624 
 
 12999 
 
 91783 
 
 06560 
 
 606 
 
 78247 
 
 26241 
 
 66286 
 
 20678 
 
 
 656 
 
 81690 
 
 38393 
 
 75660 
 
 27536 
 
 607 
 
 78318 
 
 86910 75257 
 
 58096 
 
 
 657 
 
 81756 
 
 53695 
 
 59780 
 
 77566 
 
 608 
 
 78390 35792 72734 93761 
 
 
 658 
 
 81822 58936 
 
 13955 
 
 49034 
 
 609 
 
 78461 
 
 72926 
 
 32875 
 
 35534 
 
 
 659 
 
 81888 
 
 54145 
 
 94009 
 
 86128 
 
 610 
 
 78532 
 
 98350 
 
 10767 
 
 03389 
 
 
 660 
 
 81954 39355 
 
 41868 
 
 67326 
 
 611 
 
 78604 
 
 12102 
 
 42554 
 
 23362 
 
 
 661 
 
 82020 
 
 14594 85640 23665 j 
 
 612 
 
 78675 
 
 14221 
 
 45561 
 
 19356 
 
 
 662 
 
 82085 
 
 79894 
 
 39699 
 
 93382 
 
 613 
 
 78746 
 
 04745 
 
 18415 
 
 03774 
 
 
 663 
 
 82151 
 
 35284 04773 
 
 13504 
 
 614 
 
 78816 
 
 83711 
 
 41167 
 
 67997 
 
 
 664 
 
 82216 
 
 80793 
 
 68017 
 
 48947 
 
 •615 
 
 78887 
 
 51157 
 
 75416 
 
 73659 
 
 
 665 
 
 82282 
 
 16453 
 
 03104 59703| 
 
 616 
 
 78958 
 
 07121 
 
 64425 
 
 45710 
 
 
 666 
 
 82347 
 
 42291 
 
 70301 
 
 06661 
 
 617 
 
 79028 
 
 51640 
 
 33241 
 
 68205 
 
 
 667 
 
 82412 
 
 58339 
 
 16548 
 
 96620 
 
 618 
 
 79098 
 
 84750 
 
 88815 
 
 83768 
 
 
 668 
 
 82477 
 
 64624 75545 
 
 67041 
 
 619 
 
 79169 
 
 06490 
 
 20117 
 
 97680 
 
 
 669 
 
 82542 
 
 61177 
 
 67823 
 
 11077 
 
 620 
 
 79239 
 
 16894 98253 
 
 87488 
 
 
 670 
 
 82607 
 
 48027 
 
 00826 
 
 43415 
 
 621 
 
 79309 
 
 16001 
 
 76580 
 
 19075 
 
 
 671 
 
 82672 
 
 25201 
 
 68992 
 
 07464 
 
 622 
 
 79379 
 
 03846 
 
 90818 
 
 70077 
 
 
 672 
 
 82736 
 
 92730 
 
 53825 
 
 24408 
 
 623 
 
 79448 
 
 80466 
 
 59169 
 
 61544 
 
 
 673 
 
 82801 
 
 50642 
 
 23976 
 
 84648 
 
 624 
 
 79518 
 
 45896 
 
 82423 
 
 98736 
 
 
 674 
 
 82865 
 
 98965 
 
 35319 
 
 82140 
 
 625 
 
 79588 
 
 00173 
 
 44075 
 
 21915 
 
 
 675 
 
 82930 
 
 37728 
 
 31024 
 
 92146 
 
 626 
 
 79657 
 
 43332 
 
 10429 
 
 68002 
 
 
 676 
 
 82994 
 
 66959 
 
 4.1635 
 
 92884 
 
 627 
 
 79726 
 
 75408 
 
 30716 
 
 43958 
 
 
 677 
 
 83058 
 
 86686 
 
 85144 
 
 31601 
 
 628 
 
 79795 
 
 96437 
 
 37196 
 
 12719 
 
 
 678 
 
 83122 
 
 96938 
 
 67063 
 
 35530 
 
 629 
 
 79865 
 
 06454 
 
 45268 
 
 92535 
 
 
 679 
 
 83186 
 
 97742 
 
 80501 
 
 68250 
 
 630 
 
 79934 
 
 05494 
 
 53581 
 
 70530 
 
 
 680 
 
 83250 89127 
 
 06236 
 
 31897 
 
 631 
 
 80002 93592 
 
 44134 
 
 31302 
 
 
 681 
 
 83314 71119 
 
 12785 
 
 15740 
 
 632 
 
 80071 
 
 70782 
 
 82385 
 
 01364 
 
 
 682 
 
 83378 
 
 43746 
 
 56478 
 
 91563 
 
 633 
 
 80140 
 
 37100 
 
 17355 
 
 10238 
 
 
 683 
 
 83442 07036 
 
 81532 
 
 56340 
 
 634 
 
 80208 
 
 92578 
 
 81732 
 
 68977 
 
 
 684 
 
 83505 
 
 61017 
 
 20116 
 
 22655 
 
 635 
 
 80277 
 
 37252 
 
 91975 
 
 66903 
 
 
 685 
 
 83569 
 
 05714 
 
 92425 
 
 57335 
 
 636 
 
 80345 
 
 71156 
 
 48413 
 
 87336 
 
 
 686 
 
 83632 41157 
 
 06751 
 
 68735 
 
 637 
 
 80413 
 
 94323 
 
 35350 
 
 43063 
 
 
 687 
 
 83695 
 
 67370 
 
 59550 
 
 43142 
 
 638 
 
 80482 
 
 06787 
 
 21162 
 
 32330 
 
 
 688 
 
 83758 
 
 84382 
 
 35511 
 
 30726 
 
 639 
 
 80550 
 
 08581 
 
 58400 
 
 16068 
 
 
 689 
 
 83821 
 
 92219 
 
 07625 
 
 81484 
 
 640 
 
 80617 
 
 99739 
 
 83887 
 
 17128 
 
 
 690 
 
 83884 
 
 90907 
 
 37255 
 
 31616 
 
 641 
 
 80685 
 
 80295 
 
 18817 
 
 42225 
 
 
 691 
 
 83947 
 
 80473 
 
 74198 
 
 40758 
 
 642 
 
 80753 
 
 50280 
 
 68853 
 
 27334 
 
 
 692 
 
 84010 
 
 60944 
 
 56757 
 
 80499 
 
 643 
 
 80821 
 
 09729 
 
 24222 
 
 07249 
 
 
 693 
 
 84073 
 
 32346 
 
 11806 
 
 74605 
 
 644 
 
 80888 
 
 58673 
 
 59812 
 
 10001 
 
 
 694 
 
 84135 
 
 94704 
 
 54854 
 
 91375 
 
 645 
 
 80955 
 
 97146 
 
 35267 
 
 76849 
 
 
 695 
 
 84198 
 
 48045 
 
 90113 
 
 88524 
 
 646 
 
 81023 
 
 25179 
 
 95084 08529 
 
 
 696 
 
 84260 92396 
 
 10562 
 
 11027 
 
 647 
 
 81090 
 
 42806 
 
 68700 
 
 38446 
 
 
 697 
 
 84323 
 
 27780 
 
 98009 
 
 42305 
 
 648 
 
 81157 
 
 50058 
 
 70593 
 
 33482 
 
 
 698 
 
 84385 
 
 54226 
 
 23161 
 
 09175 
 
 649 
 
 81224 46968 
 
 00369 
 
 23101 
 
 
 699 
 
 84447 
 
 71757 
 
 45681 
 
 40948 
 
 650 
 
 81291 
 
 33566 
 
 42855 
 
 57399 
 
 
 700 
 
 84509 
 
 80400 
 
 14256 
 
 83071 
 
Tab. 2. TO 20 places. (193)| 
 
 N. 
 
 701 
 
 Logarithms. 
 
 
 N. 
 
 751 
 
 Logarithms. 
 
 84571 80179 66658 65706 
 
 87563 99370 04168 38975 
 
 702 
 
 84633 71121 29805 27631 
 
 
 752 
 
 87621 78405 91642 24527 
 
 703 
 
 84695 53250 19823 95834 
 
 
 753 
 
 87679 49762 00700 57664 
 
 704 
 
 84757 26591 42112 21203 
 
 
 754 
 
 87737 13458 69774 05175 
 
 705 
 
 84818 91169 91398 70650 
 
 
 755 
 
 87794 69516 291-88 24166 
 
 706 
 
 84880 47010 51803 76071 
 
 
 756 
 
 87852 17955 01206 53302 
 
 707 
 
 84941 94137 96899 40499 
 
 
 757 
 
 87909 58795 00072 75709 
 
 708 
 
 85003 32576 89769 01798 
 
 
 758 
 
 87966 92056 32053 53715 
 
 709 
 
 85064 62351 83066 54285 
 
 
 759 
 
 88024 17758 95480 35691 
 
 710 
 
 85125 83487 19075 28609 
 
 
 760 
 
 88081 35922 80791 35196 
 
 711 
 
 85186 96007 29766 30258 
 
 
 761 
 
 88138 46567 70572 82637 
 
 712 
 
 85247 99936 3Q856 37036 
 
 
 762 
 
 88195 49713 39600 49675 
 
 713 
 
 85308 95298 51865 55853 
 
 
 763 
 
 88252 45379 54880 46591 
 
 714 
 
 85369 82117 76174 39176 
 
 
 764 
 
 88309 33585 75689 92806 
 
 715 
 
 85430 60418 01080 61474 
 
 
 765 
 
 88366 14351 53617 60792 
 
 716 
 
 85491 30223 07855 56000 
 
 
 766 
 
 88422 87696 32603 93559 
 
 717 
 
 85551 91556 67800 12230 
 
 
 767 
 
 88479 53639 48980 95947 
 
 718 
 
 85612 44442 42300 34303 
 
 
 768 
 
 88536 12200 31511 99900 
 
 719 
 
 85672 88903 82882 60777 
 
 
 769 
 
 88592 63398 01431 03960 
 
 720 
 
 85735 24964 31268 46023 
 
 
 770 
 
 88649 07251 72481 87146 
 
 721 
 
 85793 52647 19429 03588 
 
 
 771 
 
 88705 43780 50956 97446 
 
 722 
 
 85853 71975 69639 11829 
 
 
 772 
 
 88761 73003 35736 15102 
 
 723 
 
 85913 82972 94530 82137 
 
 
 773 
 
 88817 94939 18324 90897 
 
 724 
 
 85973 85661 97146 90071 
 
 
 774 
 
 88874 09606 82892 59621 
 
 725 
 
 86033 80065 70993 69691 
 
 
 775 
 
 88930 17025 06310 28924 
 
 726 
 
 86093 66207 00093 71401 
 
 
 776 
 
 88986 17212 58188 43743 
 
 727 
 
 86153 44108 59037 83621 
 
 
 777 
 
 89042 10188 00914 26482 
 
 728 
 
 86213 13793 13037 18556 
 
 
 778 
 
 89097 95969 89688 93146 ' 
 
 729 
 
 86272 75283 17974 62377 
 
 
 779 
 
 89153 74576 72564 45605 
 
 730 
 
 86332 28601 20455 90107 
 
 
 780 
 
 89209 46026 90480 40172 
 
 731 
 
 86391 73769 57860 45495 
 
 
 781 
 
 89265 10338 77300 32684 
 
 732 
 
 86451 10810 58391 86161 
 
 
 782 
 
 89320 67530 59848 00262 
 
 733 
 
 86510 39746 41127 94317 
 
 
 783 
 
 89376 17620 57943 39922 
 
 734 
 
 86569 60599 16070 53320 
 
 
 784 
 
 89431 60626 84438 44228 
 
 735 
 
 86628 73390 84194 90351 
 
 
 785 
 
 89486 96567 45252 54155 
 
 736 
 
 86687 78143 37498 85494 
 
 
 786 
 
 89542 25460 39407 89332 
 
 737 
 
 86746 74878 59051 47490 
 
 
 787 
 
 89597 47323 59064 55847 
 
 738 
 
 86805 63618 23041 56431 
 
 
 788 
 
 89652 62174 89555 31780 
 
 739 
 
 86864 44383 94825 73669 
 
 
 789 
 
 89707 70032 09420 30627 
 
 740 
 
 86923 17197 30976 19202 
 
 
 790 
 
 89762 70912 90441 42799 
 
 741 
 
 86981 82079 79328 16804 
 
 
 791 
 
 89817 64834 97676 55351 
 
 742 
 
 87040 39052 79027 07156 
 
 
 792 
 
 89872 .51815 89493 50098 
 
 743 
 
 87098 88137 60575 29242 
 
 
 793 
 
 89927 31873 17603 80309 
 
 744 
 
 87157 29355 45878 70260 
 
 
 794 
 
 89982 05024 27096 26109 
 
 745 
 
 87215 62727 48292 84304 
 
 
 795 
 
 90036 71286 56470 28771 
 
 746 
 
 87273 88274 72668 80072 
 
 
 796 
 
 90091 30677 37669 04053 
 
 747 
 
 87332 06018 15398 77842 
 
 
 797 
 
 90145 83213 96112 34727 
 
 748 
 
 87390 15978 64461 35972 
 
 
 798 
 
 90200 28913 50729 42476 
 
 749 
 
 87 448 18176 99466 47155 
 
 
 799 
 
 90254 67793 13991 39295 
 
 750 
 
 87506 12633 91700 04687 
 
 800 
 
 90308 99869 91943 5S564 
 
094) 
 
 
 LOGARITHMS. 
 
 Tab. 2. 
 
 N. 
 
 801 
 
 Logarithms. 
 
 
 N. 
 
 851 
 
 Logarithms. 
 
 90363 
 
 25160 
 
 84237 65931 
 
 92992 
 
 95600 84587 
 
 87568 
 
 802 
 
 90417 
 
 43682 
 
 84163 50176 
 
 
 852 
 
 93043 
 
 95947 66700 
 
 11382 
 
 803 
 
 90471 
 
 55452 78680 94182 
 
 
 853 
 
 93094 
 
 90311 67523 
 
 03000 
 
 804 
 
 90525 
 
 60487 
 
 48451 26187 
 
 
 854 
 
 93145 
 
 78706 89005 
 
 05981 
 
 805 
 
 90579 
 
 58803 
 
 67868 51437 
 
 
 855 
 
 93196 
 
 61147 28172 64091 1 
 
 806 
 
 90633 
 
 50418 05090 64409 
 
 
 856 
 
 93247 
 
 37646 77153 
 
 22648 
 
 807 
 
 90687 
 
 35347 
 
 22070 41738 
 
 
 857 
 
 93298 
 
 08219 23198 
 
 16429 
 
 808 
 
 90741 
 
 13607 
 
 74586 15992 
 
 
 858 
 
 93348 
 
 72878 48705 
 
 44247 
 
 809 
 
 90794 
 
 85216 
 
 12272 30432 
 
 
 859 
 
 93399 
 
 31638 31242 
 
 30263 
 
 810 
 
 90848 
 
 50188 
 
 78649 74918 
 
 
 860 
 
 93449 
 
 84512 43567 
 
 72162 
 
 811 
 
 90902 
 
 08542 
 
 11156 03069 
 
 
 861 
 
 93500 
 
 31514 53654 
 
 76252 
 
 812 
 
 90955 
 
 60292 
 
 41175 30847 
 
 
 862 
 
 93550 72658 24712 
 
 79596 
 
 813 
 
 91009 
 
 05455 
 
 94068 16682 
 
 
 863 
 
 93601 
 
 07957 15209 
 
 59266 
 
 814- 
 
 91062 
 
 44048 
 
 89201 23277 
 
 
 864 
 
 93651 
 
 37424 78893 
 
 28795 
 
 815 
 
 91115 
 
 76087 
 
 39976 61243 
 
 
 865 
 
 93701 
 
 61074 64814 21935! 
 
 816 
 
 91169 
 
 01587 
 
 53861 14669 
 
 
 866 
 
 93751 
 
 78920 17346 637911 
 
 817 
 
 91222 
 
 20565 
 
 32415 48794 
 
 
 867 
 
 93801 
 
 90974 76210 
 
 29438 
 
 818 
 
 91275 
 
 33036 
 
 71322 99882 
 
 
 868 
 
 93851 
 
 97251 76491 
 
 90081 
 
 819 
 
 91328 
 
 39017 
 
 60418 47451 
 
 
 869 
 
 93901 
 
 97764 48666 
 
 46875 
 
 820 
 
 91381 
 
 38523 
 
 83716 68972 
 
 
 870 
 
 93951 
 
 92526 18618 
 
 52463' 
 
 821 
 
 91434 
 
 31571 
 
 19440 77180 
 
 
 871 
 
 94001 
 
 81550 07663 
 
 20336 
 
 822 
 
 91487 
 
 18175 
 
 40050 40107 
 
 
 872 
 
 94051 
 
 64849 32567 
 
 22084 
 
 823 
 
 91539 
 
 98352 
 
 12269 83977 
 
 
 873 
 
 94101 
 
 42437 05569 
 
 72637 
 
 824 
 
 91592 
 
 72116 
 
 97115 79081 
 
 
 874 
 
 94151 
 
 14326 34403 
 
 03562 
 
 825 
 
 91645 
 
 39485 
 
 49925 08762 
 
 
 875 
 
 94200 80530 22313 
 
 24507 
 
 826 
 
 91698 
 
 00473 
 
 20382 21619 
 
 
 876 
 
 94250 41061 68080 
 
 72880 
 
 827 
 
 91750 
 
 55095 
 
 52546 67071 
 
 
 877 
 
 94299 
 
 95933.66040 
 
 5 1 823 
 
 828 
 
 91803 
 
 03367 
 
 84880 14389 
 
 
 878 
 
 94349 
 
 45159 06102 
 
 56585 
 
 829 
 
 91855 
 
 45305 
 
 50273 55312 
 
 
 879 
 
 94398 
 
 88750 73771 
 
 89354 
 
 830 
 
 91907 80923 76073 90^83 
 
 
 880 
 
 94448 
 
 26721 50168 
 
 62639 
 
 831 
 
 91960 
 
 10237 
 
 84110 99107 
 
 
 881 
 
 94497 
 
 59084 12047 
 
 91274 
 
 832 
 
 92012 
 
 33262 
 
 90723 94049 
 
 
 882 
 
 94546 
 
 85851 31819 
 
 73123 
 
 833 
 
 92064 
 
 50014 
 
 06787 58996 
 
 
 S83 
 
 94596 
 
 07035 775G8 
 
 58562 
 
 834 
 
 92116 
 
 60506 
 
 37738 71297 
 
 
 884 
 
 94645 
 
 22650 13073 
 
 08817 
 
 835 
 
 92168 
 
 64754 
 
 83602 08477 
 
 
 885 
 
 94694 
 
 32706 97825 
 
 43234 
 
 836 
 
 92220 
 
 62774 
 
 39016 39271 
 
 ' 
 
 886 
 
 94743 
 
 37218 87050 
 
 75544 
 
 837 
 
 92272 
 
 54579 
 
 93259 99155 
 
 
 887 
 
 94792 
 
 36198 31726 
 
 39220 
 
 838 
 
 92324 
 
 40186 
 
 30276 50506 
 
 
 888 
 
 94841 
 
 29657 78601 
 
 01974 
 
 839 
 
 92376 
 
 19608 
 
 28700 27500 
 
 
 889 
 
 94890 
 
 17609 70213 
 
 69496 
 
 840 
 
 92427 
 
 92860 
 
 61881 65843 
 
 
 890 
 
 94939 
 
 00066 44912 78472 
 
 841 
 
 92479 
 
 59957 
 
 97912 17467 
 
 
 891 
 
 94987 
 
 77040 36874 78993 
 
 842 
 
 92531 
 
 20914 99649 50266 
 
 
 892 
 
 95036 
 
 48543 76123 06390 
 
 843 
 
 92582 
 
 75746 
 
 24742 33016 
 
 
 893 
 
 95085 
 
 14588 S8546 
 
 42595 
 
 844 
 
 92634 
 
 24466 
 
 25655 05551 
 
 
 894 
 
 95133 
 
 75187 959-17 
 
 67077 
 
 845 
 
 92685 
 
 67089 
 
 49692 34320 
 
 
 895 
 
 95182 
 
 30353 15911 
 
 97436 
 
 .846 
 
 92737 
 
 03630 
 
 39023 53422 
 
 
 896 
 
 95230 
 
 80096 62125 
 
 19721 
 
 847 
 
 92788 
 
 34103 
 
 30706 ,91221 
 
 
 897 
 
 95279 
 
 24430 44092 
 
 08537 
 
 848 
 
 92839 
 
 58522 56713 82649 
 
 
 898 
 
 95327 
 
 63366 67304 
 
 37013 
 
 849 
 
 92890 76902 43952 67285 
 
 
 899 
 
 95375 
 
 96917 33228 
 
 76700 
 
 850 
 
 92941 
 
 89257 
 
 14292 73333 
 
 
 900 
 
 95424 25094 39324 
 
 87459 
 
Tab. 2. 
 
 
 TO 20 PLACES. 
 
 
 
 (195)1 
 
 N. 
 
 901 
 
 \ 
 
 Logarithms. 
 
 
 N. 
 
 951 
 
 Logarithms. 
 
 95472 
 
 47909 
 
 79062 97417 
 
 97818 
 
 05169 
 
 37413 
 
 93185 
 
 902 
 
 95520 
 
 65375 
 
 41941 73047 
 
 
 952 
 
 97863 '69483 
 
 84474 
 
 34489 
 
 903 
 
 95568 
 
 77503 
 
 13505 79441 
 
 
 953 
 
 97909 
 
 29006 
 
 38326 
 
 40853 
 
 904 
 
 95616 
 
 84304 
 
 75363 30844 
 
 
 954 
 
 97954 
 
 83747 
 
 04095 
 
 11544 
 
 905 
 
 95664 
 
 85792 
 
 05203 31508 
 
 
 955 
 
 98000 
 
 33715 
 
 83746 
 
 34242 
 
 906 
 
 95712 
 
 81976 
 
 76813 06938 
 
 
 956 
 
 98045 
 
 78922 
 
 76100 
 
 07543 
 
 907 
 
 95760 
 
 72870 
 
 60095 25585 
 
 
 957 
 
 98091 
 
 19377 
 
 76843 
 
 56538 
 
 908 
 
 95808 
 
 58485 
 
 21085 11053 
 
 
 958 
 
 98136 
 
 55090 
 
 78544 
 
 41531 
 
 909 
 
 95856 
 
 38832 
 
 21967 44887 
 
 
 959 
 
 98181 
 
 86071 
 
 70663 
 
 59928 
 
 910 
 
 95904 
 
 13923 
 
 21093 59992 
 
 
 960 
 
 98227 
 
 12330 
 
 39568 
 
 41336 
 
 911 
 
 95951 
 
 83769 
 
 72998 24763 
 
 
 961 
 
 98272 
 
 33876 
 
 68545 
 
 35933 
 
 912 
 
 95999 
 
 48383 
 
 28416 17969 
 
 
 962 
 
 98317 
 
 50720 
 
 37812 
 
 96123 
 
 913 
 
 96047 
 
 07775 
 
 34298 94458 
 
 
 963 
 
 98362 
 
 62871 
 
 24534 51542| 
 
 914 
 
 96094 
 
 61957 
 
 33831 41757 
 
 
 964 
 
 98407 
 
 70339 
 
 02830 
 
 77450 
 
 915 
 
 96142 
 
 10940 
 
 66448 27597 
 
 
 965 
 
 98452 
 
 73133 
 
 43792 
 
 56538 
 
 91^ 
 
 96189 
 
 54736 
 
 67850 38456 
 
 
 966 
 
 98497 
 
 71264 
 
 15493 
 
 34209 
 
 917 
 
 96236 
 
 93356 
 
 70021 09152 
 
 
 967 
 
 98542 
 
 64740 
 
 83001 
 
 67360 
 
 918 
 
 96284 
 
 26812 01242 43564 
 
 
 968 
 
 98587 
 
 53573 
 
 08393 
 
 66714 
 
 919 
 
 96331 
 
 55113 
 
 86111 26520 
 
 
 969 
 
 98632 
 
 37770 
 
 50765 
 
 32737 
 
 920 
 
 9637.8 
 
 78273 
 
 45555 26930 
 
 
 970 
 
 98677 
 
 17342 
 
 66244 
 
 85178 
 
 921 
 
 96425 
 
 96301 
 
 96848 92205 
 
 
 971 
 
 98721 
 
 92299 
 
 08004 
 
 86280 
 
 922 
 
 96473 
 
 09210 
 
 53629 34029 
 
 
 972 
 
 98766 
 
 62649 
 
 26274 
 
 57690 
 
 923 
 
 96520 
 
 17010 
 
 25912 05530 
 
 
 973 
 
 98811 
 
 28402 
 
 68351 
 
 91117 
 
 924 
 
 96567 
 
 19712 
 
 20106 69918 
 
 
 974 
 
 98855 
 
 89568 
 
 78615 
 
 52768 
 
 925 
 
 96614 
 
 17327 
 
 39032 60638 
 
 
 975 
 
 98900 
 
 46156 
 
 98536 
 
 81607 
 
 926 
 
 96661 
 
 09866 
 
 81934 33089 
 
 
 976 
 
 98944 98476 
 
 66691 
 
 81474 
 
 927 
 
 96707 
 
 97341 
 
 44497 07976 
 
 
 977 
 
 98989 
 
 45637 
 
 18773 
 
 07091 
 
 928 
 
 96754 79762 
 
 18862 06340 
 
 
 978 
 
 99033 
 
 88547 
 
 87601 
 
 44015 
 
 929 
 
 96801 
 
 57139 
 
 93641 76318 
 
 
 979 
 
 99078 
 
 26918 03137 
 
 82547 
 
 930 
 
 96848 29485 53935 11696 
 
 
 980 
 
 99122 60756 
 
 92494 
 
 85664 
 
 931 
 
 96894 96809 
 
 81342 62296 
 
 
 981 
 
 99166 
 
 90073 
 
 79948 
 
 50979 
 
 932 
 
 96941 
 
 59123 
 
 53981 36262 
 
 
 982 
 
 99211 
 
 14877 
 
 86949 
 
 66797 
 
 933 
 
 96988 
 
 16437 
 
 46499 94285 
 
 
 983 
 
 99255 
 
 35178 
 
 32135 
 
 62275 
 
 934 
 
 97034 
 
 68762 
 
 30093 35830 
 
 
 984 
 
 99299 
 
 50984 
 
 31341 
 
 51745 
 
 935 
 
 97081 
 
 16108 
 
 72517 77408 
 
 
 985 
 
 99343 
 
 62304 97611 
 
 73216 
 
 936 
 
 97127 
 
 58487 
 
 38105 22944 
 
 
 986 
 
 99387 
 
 69149 
 
 41211 
 
 21109 
 
 937 
 
 97173 
 
 95908 
 
 87778 26303 
 
 
 987 
 
 99431 
 
 71526 
 
 69636 
 
 73242 
 
 938 
 
 97220 
 
 28383 
 
 79064 46008 
 
 
 988 
 
 99475 69445 
 
 87628 
 
 12117 
 
 939 
 
 97266 55922 66110 92210 
 
 
 989 
 
 99519 
 
 62915 
 
 97179 
 
 40527 
 
 940 
 
 97312 78535 
 
 99698 65963 
 
 
 990 
 
 99563 
 
 51945 
 
 97549 
 
 91534 
 
 941 
 
 97358 
 
 96234 27256 90834 
 
 
 991 
 
 99607 
 
 36544 
 
 85275 
 
 32836 
 
 942 
 
 97405 
 
 09027 
 
 92877 36927 
 
 
 992 
 
 99651 
 
 16721 
 
 54178 
 
 65574 
 
 943 
 
 97451 
 
 16927 
 
 37328 37338 
 
 
 993 
 
 99694 92484 
 
 95381 
 
 17590 
 
 944 
 
 97497 
 
 19942 98068 97112 
 
 
 994 
 
 99738 
 
 63843 
 
 97313 
 
 31202 
 
 945 
 
 97543 
 
 18085 
 
 09262 94738 
 
 
 995 
 
 99782 
 
 30807 
 
 45725 
 
 45489 
 
 946 
 
 97589 
 
 11364 
 
 01792 76237 
 
 
 996 
 
 99825 
 
 93384 
 
 23698 
 
 73156 
 
 947 
 
 97634 99790 03273 41875 
 
 
 997 
 
 99869 
 
 51583 
 
 11655 
 
 71988 
 
 948 
 
 97680 
 
 83373 
 
 3^66 25572 
 
 
 998 
 
 99913 
 
 05412 
 
 87371 
 
 10938 
 
 949 
 
 97726 62124 27292 67028 
 
 
 999 
 
 99956 
 
 54882 25982 
 
 30869 
 
 950 
 
 97772v 36052 88847 76632 
 
 
 1001 
 
 00043 
 
 40774 
 
 79318 
 
 64067 
 
 3C2 
 
|(196') 
 
 LOGARITHMS 
 
 Tab. 2. 
 
 N. 
 
 1003 
 
 Logarithms. 
 
 
 N. 
 
 Logarithms. 
 
 00130 
 
 09330 20418 11880 
 
 1103 
 
 04257 55124 40190 59866 
 
 1005 
 
 00216 
 
 60617 56507 67623 
 
 
 1105 
 
 04336 22780 
 
 21729 50254 
 
 1007 
 
 00302 94705 53618 00717 
 
 
 1107 
 
 04414 76208 
 
 78722 80639 
 
 1009 
 
 00389 
 
 11662 36910 52172 
 
 
 1109 
 
 04493 15461 
 
 49160 06471 
 
 1011 
 
 00475 
 
 1155;5 91001 06349 
 
 
 1111 
 
 04571 40589 
 
 40867 61503 
 
 1013 
 
 00560 
 
 94453 60280 42845 
 
 
 1113 
 
 04649 51643 
 
 34708 31364 
 
 1015 
 
 00646 
 
 60422 49231 72283 
 
 
 1115 
 
 04727 48673 
 
 84779 47827 
 
 1017 
 
 00732 
 
 09529 22744 59739 
 
 
 1117 
 
 04805 31731 
 
 15609 05702 
 
 1019 
 
 00817 
 
 41840 06426 39490 
 
 
 1119 
 
 04883 00865 
 
 28350 04281 
 
 1021 
 
 00902 57420 86910 24725 
 
 
 1121 
 
 04960 56125 
 
 94973 15180 
 
 1023 
 
 00987 
 
 56337 12160 15771 
 
 
 1123 
 
 05037 97562 
 
 61457 78469 
 
 1025 
 
 01072 
 
 38653 91773 10408 
 
 
 1125 
 
 05115 25224 
 
 47981 28895 
 
 1027 
 
 01157 
 
 04435 97278 19720 
 
 
 1127 
 
 05192 39160 
 
 46106 54029 
 
 1029 
 
 01241 
 
 53747 62432 92943 
 
 
 1129 
 
 05269 39419 
 
 24967 86114 
 
 1031 
 
 01325 
 
 86652 83516 54691 
 
 
 1131 
 
 05346 26049 
 
 25455 29384 
 
 1033 
 
 01410 03215 19620 57904 
 
 
 1133 
 
 05422 99098 
 
 63397 24592 
 
 1035 
 
 01494 03497 92936 55824 
 
 
 1135 
 
 05499 58615 
 
 29741 52489 
 
 1037 
 
 01577 
 
 87563 89040 96243 
 
 
 1137 
 
 05576 04646 
 
 87734 77923 
 
 1039 
 
 01661 
 
 55475 57177 41240 
 
 
 1139 
 
 05652 37240 79100 36269| 
 
 1041 
 
 01745 
 
 07295 10536 15583 
 
 
 1141 
 
 05728 56444 
 
 18214 63835 
 
 1043 
 
 01828 
 
 43084 26530 86897 
 
 
 1143 
 
 05804 62303 
 
 95281 73884 
 
 1045 
 
 01911 
 
 62904 47072 80707 
 
 
 1145 
 
 05880 54866 
 
 75906 79892 
 
 1047 
 
 01994 
 
 66816 78842 33384 
 
 
 1147 
 
 05956 34179 
 
 01267 67648 
 
 1049 
 
 02077 
 
 54881 93557 85991 
 
 
 1149 
 
 06032 00286 
 
 88285 17768 
 
 1051 
 
 02160 
 
 27160 28242 22008 
 
 
 1151 
 
 06107 53236 
 
 29791 80185 
 
 1053 
 
 02242 
 
 83711 85486 51839 
 
 
 1153 
 
 06182 93072 
 
 94699 02164 
 
 1055 
 
 02325 
 
 24596 33711 46987 
 
 
 1155 
 
 06258 19842 
 
 28163 11355 
 
 1057 
 
 02407 
 
 49873 07426 26758 
 
 
 1157 
 
 06333 33589 
 
 51749 55393 
 
 1059 
 
 02489 
 
 59601 07485 00279 
 
 
 1159 
 
 06408 34359 
 
 63595 99543 
 
 1061 
 
 02571 
 
 53839 01340 66612 
 
 
 1161 
 
 06483 22197 
 
 38573 83830 
 
 1063 
 
 02653 
 
 32645 23296 75697 
 
 
 1163 
 
 06557 97147 
 
 28448 41139 
 
 1065 
 
 02734 
 
 96077 74756 52817 
 
 
 1165 
 
 06632 59253 
 
 62037 77698 
 
 1067 
 
 02816 
 
 44194 24469 89253 
 
 
 1167 
 
 06707 08560 
 
 45370 17354 
 
 1069 
 
 02897 
 
 77052 08778 01749 
 
 
 1169 
 
 06781 45111 
 
 61840 11069 
 
 1071 
 
 02978 
 
 94608 31855 63385 
 
 
 1171 
 
 06855 68950 72363 12990| 
 
 1073 
 
 03059 
 
 97219 65951 08414 
 
 
 1173 
 
 06929 80121 
 
 15529 24471 
 
 1075 
 
 03140 
 
 84642 51624 13598 
 
 
 1175 
 
 07003 78666 
 
 07755 07399 
 
 1077 
 
 03221 
 
 57032 97981 58511 
 
 
 1177 
 
 07077 64628 
 
 43434 68158 
 
 1079 
 
 03302 
 
 14446 82910 67304 
 
 
 1179 
 
 07151 38050 95089 13541 | 
 
 1081 
 
 03382 
 
 56939 53310 34328 
 
 
 1181 
 
 07224 98976 
 
 13514 79908 
 
 1083 
 
 03462 
 
 84566 25320 36037 
 
 
 1183 
 
 07298 47446 
 
 27930 36912 
 
 1085 
 
 03542 
 
 97381 85148 31517 
 
 
 1185 
 
 07371 83503 
 
 46122 67008 
 
 1087 
 
 03622 95440 86294 53993 | 
 
 
 1187 
 
 07445 07189 
 
 54591 22047 
 
 1089 
 
 03702 
 
 78797 55774 95610 
 
 
 1189 
 
 07518 18546 
 
 18691 58184 
 
 1091 
 
 03782 
 
 47505 88341 87761 
 
 
 1191 
 
 07591 17614 
 
 82777 50318 
 
 1093 
 
 03862 01619 49702 79227 j 
 
 
 1193 
 
 07664 04436 
 
 70341 87279 
 
 1095 
 
 03941 
 
 41191 76137 14316 
 
 
 1195 
 
 07736 79052 
 
 84156 48979 
 
 1097 
 
 04020 
 
 66275 74711 13222 
 
 
 1197 
 
 07809 41504 06410 66684 
 
 1099 
 
 04099 
 
 76924 23490 56747 
 
 
 1199 
 
 07881 91830 98848 67595 
 
 1101 
 
 04178 
 
 73189 71751 77529 
 
 
 
 
 
Tab. 3. 
 
 TO 20 PLACES. (K97)i 
 
 Num. 
 
 Logarithms. 
 
 Differ. 1. 
 
 Diff. 2. 
 
 D.S. 
 
 101000 
 
 00432 
 
 13737 82642 57428 
 
 42999 24078 66099 
 
 42572 87346 
 
 84301 
 
 101001 
 
 00432 
 
 56737 06721 23527 
 
 42998 81505 78753 
 
 42572 03045 
 
 84298 
 
 101002 
 
 00432 
 
 99735 88227 02280 
 
 42998 38933 75708 
 
 42571 18747 
 
 84295 
 
 101003 
 
 00433 
 
 42734 27160 77988 
 
 42997 96362 56961 
 
 42570 34452 
 
 S4294 
 
 101004. 
 
 00433 
 
 85732 23523 34949 
 
 42997 53792 22509 
 
 42569 50158 
 
 84290 
 
 101005 
 
 00434 
 
 28729 77315 57458 
 
 42997 11222 72351 
 
 42568 65868 
 
 84288 
 
 101006 
 
 00434 
 
 71726 88538 29809 
 
 42996 68654 06483 
 
 42567 81580 
 
 84286 
 
 101007 
 
 00435 
 
 14723 57192 36292 
 
 42996 26086 24903 
 
 42566 97294 
 
 84283 
 
 101008 
 
 00435 
 
 57719 83278 61195 
 
 42995 83519 27609 
 
 42566 13011 
 
 84281 
 
 101009 
 
 00436 
 
 00715 66797 88804 
 
 42995 40953 14598 
 
 42565 28730 
 
 84277 
 
 101010 
 
 00436 
 
 43711 07751 03402 
 
 42994 98387 85868 
 
 42564 44453 
 
 84277 
 
 101011 
 
 00436 
 
 86706 06138 89270 
 
 42994 55823 41415 
 
 42563 60176 
 
 84272 
 
 101012 
 
 00437 
 
 29700 61962 30685 
 
 42994 13259 81239 
 
 42562 75904 
 
 84271 
 
 101013 
 
 00437 
 
 72694 75222 11924 
 
 42993 70697 05335 
 
 42561 91633 
 
 84268 
 
 101014 
 
 00438 
 
 15688 45919 17259 
 
 42993 28135 13702 
 
 42561 07365 
 
 84266 
 
 101015 
 
 00438 
 
 58681 74054 30961 
 
 42992 85574 06337 
 
 42560 23099 
 
 84263 
 
 101016 
 
 00439 
 
 01674 59628 37298 
 
 42992 43013 83238 
 
 42559 38836 
 
 84260 
 
 101017 
 
 00439 
 
 44667 02642 20536 
 
 42992 00454 44402 
 
 42558 54576 
 
 84258 
 
 101018 
 
 00439 
 
 87659 03096 64938 
 
 42991 57895 89826 
 
 42557 70318 
 
 84257 
 
 101019 
 
 00440 
 
 .30650 60992 54764 
 
 42991 15338 19508 
 
 42556 86061 
 
 84251 
 
 101020 
 
 00440 73641 76330 74272 
 
 42990 72781 33447 
 
 42556 01810 
 
 84252 
 
 101021 
 
 00441 
 
 16632 49112 07719 
 
 42990 30225 31637 
 
 42555 17558 
 
 84248 
 
 101022 
 
 00441 
 
 59622 79337 39356 
 
 42989 87670 14079 
 
 42554 33310 
 
 84245 
 
 101023 
 
 00442 
 
 02612 67007 53435 
 
 42989 45115 80769 
 
 42553 49065 
 
 84244 
 
 101024 
 
 00442 
 
 45602 12123 34204 
 
 42989 02562 31704 
 
 42552 64821 
 
 84239 
 
 101025 
 
 00442 
 
 88591 14685 65908 
 
 42988 60009 66883 
 
 42551 80582 
 
 84239 
 
 101026 
 
 00443 
 
 31579 74695 32791 
 
 42988 17457 86301 
 
 42550 96343 
 
 84236 
 
 101027 
 
 00443 
 
 74567 92153 19092 
 
 42987 74906 89958 
 
 42550 12107 
 
 84233 
 
 101028 
 
 00444 
 
 17555 67060 09050 
 
 42987 32356 77851 
 
 42549 27874 
 
 84230 
 
 101029 
 
 00444 
 
 60542 99416 86901 
 
 42986 89807 49977 
 
 42548 43644 
 
 84228 
 
 101030 
 
 00445 
 
 03529 89224 36878 
 
 42986 47259 06333 
 
 42547 59416 
 
 84225 
 
 101031 
 
 00445 
 
 46516 36483 43211 
 
 42986 04711 46917 
 
 42546 75191 
 
 84225 
 
 101032 
 
 00445 
 
 89502 41194 90128 
 
 42985 62164 71726 
 
 42545 90966 
 
 84219 
 
 101033 
 
 00446 
 
 32488 03359 61854 
 
 42985 19618 80760 
 
 42545 06747 
 
 84219 
 
 101034 
 
 00446 
 
 75473 22978 42614 
 
 42984 77073 74013 
 
 42544 22528 
 
 84214 
 
 101035 
 
 00447 
 
 18458 00052 16627 
 
 42984 34529 51485 
 
 42543 38314 
 
 84215 
 
 101036 
 
 00447 
 
 61442 34581 68112 
 
 42983 91986 13171 
 
 42542 54099 
 
 84209 
 
 101037 
 
 00448 
 
 04426 26567 81283 
 
 42983 49443 59072 
 
 42541 69890 
 
 84209 
 
 101038 
 
 00448 
 
 47409 76011 40355 
 
 42983 06901 89182 
 
 42540 85681 
 
 81205 
 
 101039 
 
 00448 
 
 90392 82913 29537 
 
 42982 64361 03501 
 
 42540 01476 
 
 84204 
 
 101040 
 
 00449 
 
 33375 47274 33038 
 
 42982 21821 02025 
 
 42539 17272 
 
 84199 
 
 101041 
 
 00449 
 
 76357 69095 35063 
 
 42981 79281 84753 
 
 42538 33073 
 
 84199 
 
 101042 
 
 00450 
 
 19339 48377 19816 
 
 42981 36743 51680 
 
 42537 48874 
 
 84196 
 
 101043 
 
 00450 
 
 62320 85120 71496 
 
 42980 94206 02806 
 
 42536 64678 
 
 84193 
 
 101044 
 
 00451 
 
 05301 79326 74302 
 
 42980 51669 38128 
 
 42535 80485 
 
 84189 
 
 101045 
 
 00451 
 
 48282 30996 12430 
 
 42980 09133 57643 
 
 42534 96296 
 
 84189 
 
 101046 
 
 00451 
 
 91262 40129 70073 
 
 42979 66598 61347 
 
 42534 12107 
 
 84187 
 
 101047 
 
 00452 
 
 34242 06728 31420 
 
 42979 24064 49240 
 
 42533 27920 
 
 84181 
 
 101048 
 
 00452 77221 30792 80660 
 
 42978 81531 21320 
 
 42532 43739 
 
 84181 
 
 101049 
 
 00453 
 
 20200 12324 01980 
 
 42978 38998 77581 
 
 42531 59558 
 
 84178 
 
(198) 
 
 LOGARITHMS 
 
 Tab. 3. 
 
 Num. 
 
 Logarithms. 
 
 Differ. 
 
 I. 
 
 Diff. 2. 
 
 D.3. 
 
 101050 
 
 00453 63178 51322 
 
 79561 
 
 42977 96467 
 
 1 8023 
 
 42530 75380 
 
 84177 
 
 101051 
 
 00454 06156 47789 
 
 97584 
 
 42977 53936 
 
 42643 
 
 42529 91203 
 
 84172 
 
 101052 
 
 00454 49134 01726 
 
 40227 
 
 42977 11406 
 
 51440 
 
 42529 07031 
 
 84170 
 
 101053 
 
 00454 92111 13132 
 
 91667 
 
 42976 68877 
 
 44409 
 
 42528 22861 
 
 84168 
 
 101054 
 
 00455 35087 82010 
 
 36076 
 
 42976 26349 
 
 21548 
 
 42527 38^693 
 
 84167 
 
 101055 
 
 00455 78064 08359 
 
 57624 
 
 42975 83821 
 
 82855 
 
 42526 54526 
 
 84162 
 
 101056 
 
 00456 21039 92181 
 
 40479 
 
 42975 41295 
 
 28329 
 
 42525 70364 
 
 84161 
 
 101057 
 
 00456 64015 33476 
 
 68808 
 
 42974 98769 
 
 57965 
 
 42524 86203 
 
 84158 
 
 101058 
 
 00457 06990 32246 
 
 26773 
 
 42974 56244 
 
 71762 
 
 42524 02045 
 
 84155 
 
 101059 
 
 00457 49964 88490 
 
 98535 
 
 42974 13720 
 
 69717 
 
 42523 17890 
 
 84154 
 
 101060 
 
 00457 92939 02211 
 
 68252 
 
 42973 71197 
 
 51827 
 
 42522 33736 
 
 84150 
 
 101061 
 
 00458 35912 73409 
 
 20079 
 
 42973 28675 
 
 18091 
 
 42521 49586 
 
 84148 
 
 101062 
 
 00458 78886 02084 
 
 38170 
 
 42972 86153 
 
 68505 
 
 42520 65438 
 
 84146 
 
 101063 
 
 0045^ 21858 88238 
 
 06675 
 
 42972 43633 
 
 03067 
 
 42519 81292 
 
 84143 
 
 101064 
 
 00459 64831 31871 
 
 09742 
 
 42972 0U13 21775 
 
 42518 97149 
 
 84140 
 
 101065 
 
 00460 07803 S2984 
 
 31517 
 
 42971 58594 24626 
 
 42518 13009 
 
 84138 
 
 101066 
 
 00460 50774 91578 
 
 56143 
 
 42971 16076 
 
 11617 
 
 42517 28871 
 
 84137 
 
 101067 
 
 00460 93746 07654 
 
 67760 
 
 42970 73558 
 
 82746 
 
 42516 44734 
 
 84132 
 
 101068 
 
 00461 36716 81213 
 
 50506 
 
 42970 31042 
 
 38012 
 
 42515 60602 
 
 84130 
 
 101069 
 
 00461 79687 12255 
 
 88518 
 
 42969 88526 
 
 77410 
 
 42514 76472 
 
 84130 
 
 101070 
 
 00462 22657 00782 65928 
 
 42969 46012 
 
 00938 
 
 42513 92342 
 
 84124 
 
 101071 
 
 00462 65626 46794 66S66 
 
 42969 03498 
 
 08596 
 
 42513 08218 
 
 84123 
 
 101072 
 
 00463 08595 50292 75462 
 
 42968 60985 
 
 00378 
 
 42512 24095 
 
 84122 
 
 101073 
 
 00463 51564 11277 
 
 75840 
 
 42968 18472 
 
 76283 
 
 42511 39973 
 
 84117 
 
 101074 
 
 00463 94532 29750 52123 
 
 42967 75961 
 
 36310 
 
 42510 55S56 
 
 84116 
 
 101075 
 
 00464 37500 05711 
 
 88433 
 
 42967 33450 
 
 80454 
 
 42509 71740 
 
 84113 
 
 101076 
 
 00464 80467 39162 68887 
 
 42966 90941 
 
 08714 
 
 42508 87627 
 
 84111 
 
 101077 
 
 00465 23434 30103 
 
 77601 
 
 42966 48432 
 
 21087 
 
 42508 03516 
 
 84107 
 
 101078 
 
 00465 66400 78535 
 
 98688 
 
 42966 05924 
 
 17571 
 
 42507 19409 
 
 84107 
 
 101079 
 
 00466 09366 84460 
 
 16259 
 
 42965 63416 
 
 98162 
 
 42506 35302 
 
 84102 
 
 101080 
 
 00466 52332 47877 
 
 14421 
 
 42965 20910 
 
 62860 
 
 42505 51200 
 
 84102 
 
 101081 
 
 00466 95297 68787 
 
 77281 
 
 42964 78405 
 
 11660 
 
 42504 67098 
 
 84097 
 
 101082 
 
 00467 38262 47192 
 
 88941 
 
 42964 35900 
 
 44562 
 
 42503 83001 
 
 84095 
 
 101083 
 
 00467 81226 83093 
 
 33503 
 
 42963 93396 
 
 61561 
 
 42502 98906 
 
 84095 
 
 101084 
 
 00468 24190 76489 
 
 95064 
 
 42963 50893 
 
 62655 
 
 42502 14811 
 
 84090 
 
 101085 
 
 00468 67154 27383 
 
 57719 
 
 42963 08391 
 
 47844 
 
 42501 30721 
 
 84087 
 
 101086 
 
 00469 10117 35775 
 
 05563 
 
 42962 65890 
 
 17123 
 
 42500 46634 
 
 84087 
 
 101087 
 
 00469 53080 01665 
 
 22686 
 
 42962 23389 
 
 70489 
 
 42499 62547 
 
 84083 
 
 101088 
 
 00469 96042 25054 
 
 93175 
 
 42961 80890 07942 
 
 42498 78464 
 
 84080 
 
 101089 
 
 00470 39004 05945 
 
 01117 
 
 42961 38391 
 
 29478 
 
 42497 94384 
 
 84078 
 
 101090 
 
 00470 81965 44336 
 
 30595 
 
 42960 95893 
 
 35094 
 
 42497 10306 
 
 84077 
 
 101091 
 
 00471 24926 40229 
 
 65689 
 
 42960 53396 24788 
 
 42496 26229 
 
 84073 
 
 101092 
 
 00471 67886 93625 
 
 90477 
 
 42960 10899 
 
 98559 
 
 42495 42156 
 
 84069 
 
 101093 
 
 00472 10847 04525 
 
 89036 
 
 42959 68404 56403 
 
 42494 58087 
 
 84070 
 
 101094 
 
 00472 53806 72930 45439 
 
 42959 25909 
 
 98316 
 
 42493 74017 
 
 84065 
 
 101095 
 
 00472 96765 98840 
 
 43755 
 
 42958 83416 
 
 24299 
 
 42492 89952 
 
 84063 
 
 101096 
 
 00473 39724 82256 
 
 68054 
 
 42958 40923 
 
 34347 
 
 42492 05889 
 
 84060 
 
 101097 
 
 00473 82683 23180 
 
 02401 
 
 42957 98431 
 
 28458 
 
 42491 21829 
 
 84061 
 
 101098' 
 
 00474 25641 21611 
 
 30859 
 
 42957 55940 06629 
 
 42490 37768 
 
 84052 
 
 101099 
 
 00474 68598 77551 
 
 37488 
 
 42957 13449 
 
 68861 
 
 42489 53716 
 
 84056 
 
Tab. 3. 
 
 TO 20 PLACES. 
 
 (199) 
 
 Num. 
 
 Logarithms. 
 
 Differ. 
 
 1. 
 
 Diff. 2. 
 
 D.3. 
 
 101 100 
 
 00475 
 
 11555 91001 06349 
 
 42956 70960 
 
 15145 
 
 42488 69660 
 
 84050 
 
 101101 
 
 00475 
 
 54512 61961 21494 
 
 42956 28471 
 
 45485 
 
 42487 85610 
 
 84048 
 
 101102 
 
 00475 
 
 97468 90432 66979 
 
 42955 85983 
 
 59875 
 
 42487 01562 
 
 84046 
 
 101103 
 
 00476 
 
 40424 76416 26854 
 
 42955 43496 
 
 58313 
 
 42486 17516 
 
 84043 
 
 101104 
 
 00476 
 
 83380 19912 85167 
 
 42955 01010 
 
 40797 
 
 42485 33473 
 
 84040 
 
 101105 
 
 00477 
 
 26335 20923 25964 
 
 42954 58525 
 
 07324 
 
 42484 49433 
 
 84040 
 
 101106 
 
 00477 
 
 69289 79448 33288 
 
 42954 16040 57891 
 
 42483 65393 
 
 84034 
 
 101107 
 
 00478 
 
 12243 95488 91179 
 
 42953 73556 
 
 92498 
 
 42482 81359 
 
 84035 
 
 101108 
 
 00478 
 
 55197 69045 83677 
 
 42953 31074 
 
 11139 
 
 42481 97324 
 
 84030 
 
 101109 
 
 00478 
 
 98151 00119 94816 
 
 42952 88592 
 
 13815 
 
 42481 13294 
 
 84028 
 
 lOlllO 
 
 00479 
 
 41103 88712 08631 
 
 42952 461 U 00521 
 
 42480 29266 
 
 84025 
 
 101111 
 
 00479 
 
 84056 34823 09152 
 
 42952 03630 71255 
 
 42479 45241 
 
 84026 
 
 101112 
 
 00480 
 
 27008 38453 80407 
 
 42951 61151 
 
 26014 
 
 42478 61215 
 
 84018 
 
 101113 
 
 00480 
 
 69959 99605 06421 
 
 42951 18672 
 
 64799 
 
 42477 77197 
 
 84020 
 
 101114 
 
 00481 
 
 12911 18277 71220 
 
 42950 76194 
 
 87602 
 
 42476 93177 
 
 84015 
 
 101115 
 
 00481 
 
 55861 94472 58822 
 
 42950 33717 
 
 94425 
 
 42476 09162 
 
 84013 
 
 101116 
 
 00481 
 
 98812 28190 53247 
 
 42949 91241 
 
 85263 
 
 42475 25149 
 
 84012 
 
 101117 
 
 00482 
 
 41762 19432 38510 
 
 42949 43766 
 
 60114 
 
 42474 41137 
 
 84008 
 
 101118 
 
 00482 
 
 84711 68198 98624 
 
 42949 06292 
 
 18977 
 
 42473 57129 
 
 84006 
 
 101119 
 
 00483 
 
 .27660 74491 17601 
 
 42948 63818 
 
 61848 
 
 42472 73123 
 
 84002 
 
 101120 
 
 00483 
 
 70609 38309 79449 
 
 42948 21345 
 
 88725 
 
 42471 89121 
 
 84003 
 
 101121 
 
 00484 
 
 13557 59655 68174 
 
 42947 78873 
 
 99604 
 
 42471 05118 
 
 83996 
 
 101122 
 
 00484 56505 38529 67778 
 
 42947 36402 
 
 94486 
 
 42470 21122 
 
 83998 i 
 
 101123 
 
 00484 
 
 99452 74932 62264 
 
 42946 93932 
 
 73364 
 
 42469 37124 
 
 83993! 
 
 101124 
 
 00485 
 
 42399 68865 35628 
 
 42946 51463 
 
 36240 
 
 42468 53131 
 
 83990, 
 
 101125 
 
 00485 
 
 85346 20328 71868 
 
 42946 08994 
 
 83109 
 
 42467 69141 
 
 83988 
 
 101126 
 
 00486 
 
 28292 29323 54977 
 
 42945 66527 
 
 13968 
 
 42466 85153 
 
 83988 
 
 101127 
 
 00486 
 
 71237 95850 68945 
 
 42945 24060 
 
 28815 
 
 42466 01165 
 
 83982 
 
 101128 
 
 00487 
 
 14183 19910 97760 
 
 42944 81594 
 
 27650 
 
 42465 17183 
 
 83981 
 
 101129 
 
 00487 
 
 57128 01505 25410 
 
 42944 39129 
 
 10467 
 
 42464 33202 
 
 83978 
 
 101130 
 
 00488 
 
 00072 40634 35877 
 
 42943 96664 77265 
 
 42463 49224 
 
 83978 
 
 101131 
 
 00488 
 
 43016 37299 13142 
 
 42943 54201 
 
 28041 
 
 42462 65246 
 
 83971 
 
 101132 
 
 00488 
 
 85959 91500 41183 
 
 42943 11738 
 
 62795 
 
 42461 81275 
 
 83972 
 
 101133 
 
 00489 
 
 28903 03239 03978 
 
 42942 69276 
 
 81520 
 
 42460 97303 
 
 83969 
 
 101134 
 
 00489 
 
 71845 72515 85498 
 
 42942 26815 
 
 84217 
 
 42460 13334 
 
 83965 
 
 101135 
 
 00490 
 
 14787 99331 69715 
 
 42941 84355 
 
 70883 
 
 42459 29369 
 
 83964 
 
 101136 
 
 00490 
 
 57729 83687 40598 
 
 42941 41896 
 
 41514 
 
 42458 45405 
 
 83962 
 
 101137 
 
 00491 
 
 00671 25583 82112 
 
 42940 99437 
 
 96109 
 
 42457 61443 
 
 83957 
 
 101138 
 
 00491 
 
 43612 25021 78221 
 
 42940 56980 
 
 34666 
 
 42456 77486 
 
 83956 
 
 j 101 139 
 
 00491 
 
 86552 82002 12887 
 
 42940 14523 
 
 57180 
 
 42455 93530 
 
 83954 
 
 101140 
 
 00492 
 
 29492 96525 70067 
 
 42939 72067 
 
 63650 
 
 42455 09576 
 
 83951 
 
 101141 
 
 00492 
 
 72432 68593 33717 
 
 42939 29612 
 
 54074 
 
 42454 25625 
 
 83949 
 
 101142 
 
 00493 
 
 15371 98205 87791 
 
 42938 87158 
 
 28449 
 
 42453 41676 
 
 83946 1 
 
 101143 
 
 00493 
 
 58310 85364 16240 
 
 42938 44704 
 
 86773 
 
 42452 57730 
 
 839441 
 
 101144 
 
 00494 
 
 01249 30069.03013 
 
 42938 02252 
 
 29043 
 
 42451 73786 
 
 83941 
 
 101145 
 
 00494 
 
 44187 32321 32056 
 
 42937 59800 
 
 55257 
 
 42450 89845 
 
 83938 
 
 101146 
 
 00494 
 
 87124 92121 87313 
 
 42937 17349 
 
 65412 
 
 42450 05907 
 
 83936 
 
 101147 
 
 00495 
 
 30062 09471 52725 
 
 42936 74899 
 
 59505 
 
 42449 21971 
 
 83934 
 
 101148 
 
 00495 
 
 72998 84371 12230 
 
 42936 32450 
 
 37534 
 
 42448 38037 
 
 83931 
 
 101149 
 
 00496 
 
 15935 16821 49764 
 
 42935 90001 
 
 99497 
 
 42447 54106 
 
 83929 
 

 
 
 TABLE IV. 
 
 
 
 (200) 
 
 
 LOGARITHMS AND Tab. 4. 
 
 Log. 
 
 
 Number. 
 
 
 Differ. 1. 
 
 Diff. 2. 
 
 D.3. 
 
 00000 
 
 10000 00000 00000 
 
 00000 
 
 23026 11602 68807 
 
 53020 20192 
 
 1 22087 
 
 00001 
 
 10000 
 
 23026 11602 
 
 68807 
 
 23026 64622 88999 
 
 53021 42279 
 
 1 22085 
 
 00002 
 
 10000 
 
 46052 76225 
 
 57806 
 
 23027 17644 31278 
 
 53022 64364 
 
 1 22093 
 
 0000.3 
 
 10000 
 
 69079 93869 
 
 89084 
 
 23027 70666 95642 
 
 53023 86457 
 
 1 22093 
 
 00004 
 
 10000 92107 64536 
 
 S4726 
 
 23028 23690 82099 
 
 53025 08550 
 
 1 22094 
 
 00005 
 
 1000 1 
 
 15135 88227 
 
 66825 
 
 23028 76715 90649 
 
 53026 30644 
 
 I 22102 
 
 00006 
 
 10001 
 
 38164 64943 
 
 57474 
 
 23029 29742 21293 
 
 53027 52746 
 
 I 22100 
 
 00007 
 
 10001 
 
 61193 94685 
 
 78767 
 
 23029 82769 74039 
 
 53028 74846 
 
 1 22106 
 
 00008 
 
 1000 1 
 
 84223 77455 
 
 52806 
 
 23030 35798 48885 
 
 53029 96952 
 
 1 22104 
 
 00009 
 
 10002 
 
 07254 13254 
 
 01691 
 
 23030 88828 45837 
 
 53031 19056 
 
 1 22114 
 
 00010 
 
 10002 
 
 30285 02082 
 
 47528 
 
 23031 41859 64893 
 
 53032 41170 
 
 1 22112 
 
 00011 
 
 10002 
 
 53316 43942 
 
 12421 
 
 23031 94892 06063 
 
 530!i3 63282 
 
 1 22115 
 
 00012 
 
 10002 76348 38834 
 
 18484 
 
 23032 47925 69345 
 
 53034 85397 
 
 1 22120 
 
 00013 
 
 10002 
 
 99380 86759 
 
 87829 
 
 23033 00960 54742 
 
 53036 07517 
 
 1 22120 
 
 00014 
 
 10003 
 
 22413 87720 
 
 42571 
 
 23033 53996 62259 
 
 53037 29637 
 
 1 22125 
 
 00015 
 
 10003 
 
 45447 41717 
 
 04830 
 
 23034 07033 91896 
 
 53038 51762 
 
 1 22128 
 
 00016 
 
 10003 
 
 68481 48750 96726 
 
 23034 60072 43658 
 
 53039 73890 
 
 1 22128 
 
 00017 
 
 10003 
 
 91516 08823 
 
 40384 
 
 23035 13112 17548 
 
 53040 96018 
 
 1 22134 
 
 00018 
 
 10004 
 
 14551 21935 
 
 57952 
 
 23035 66153 13566 
 
 53042 18152 
 
 1 22136 
 
 00019 
 
 10004 
 
 37586 88088 
 
 71498 
 
 23036 19195 31718 
 
 53043 40288 
 
 I 22137 
 
 00020 
 
 10004 
 
 60623 07284 03216 
 
 23036 72238 72006 
 
 53044 62425 
 
 1 22142 
 
 00021 
 
 10004 
 
 83659 79522 
 
 75222 
 
 23037 25283 34431 
 
 53045 84567 
 
 1 22144 
 
 00022 
 
 10005 06697 04806 
 
 09653 
 
 23037 78329 18998 
 
 53047 06711 
 
 1 22146 
 
 00023 
 
 10005 
 
 29734 83135 
 
 28651 
 
 23038 31376 25709 
 
 53048 28857 
 
 1 22151 
 
 00024 
 
 10005 
 
 52773 14511 
 
 54360 
 
 23038 84424 54566 
 
 53049 51008 
 
 1 22151, 
 
 00025 
 
 10005 
 
 75811 98936 
 
 08926 
 
 23039 37474 05574 
 
 53050 73159 
 
 1 22156 
 
 00026 
 
 10005 
 
 98851 36410 
 
 14500 
 
 25039 90524 78733 
 
 53051 95315 
 
 1 22158 
 
 00027 
 
 10006 
 
 21891 26934 
 
 93233 
 
 23040 43576 74048 
 
 53053 17473 
 
 1 22161 
 
 00028 
 
 10006 
 
 44931 70511 
 
 67281 
 
 23040 96629 91521 
 
 53054 39634 
 
 1 22163 
 
 00029 
 
 10006 
 
 67972 67141 
 
 58802 
 
 23041 49684 31155 
 
 53055 61797 
 
 1 22167 
 
 00030 
 
 10006 
 
 91014 16825 
 
 89957 
 
 23042 02739 92952 
 
 53056 83964 
 
 1 22170 
 
 00031 
 
 10007 
 
 14056 19565 
 
 82909 
 
 23042 55796 76916 
 
 53058 06134 
 
 1 22170 
 
 00032 
 
 10007 
 
 37098 75362 
 
 59825 
 
 23045 08854 83050 
 
 53059 28304 
 
 1 22177 
 
 00033 
 
 10007 
 
 60141 84217 
 
 42875 
 
 23043 61914 11354 
 
 53060 50481 
 
 1 22177 
 
 00034 
 
 10007 
 
 83185 46131 
 
 54229 
 
 23044 14974 61835 
 
 53061 72658 
 
 1 22180 
 
 00035 
 
 10008 
 
 06229 61106 
 
 1 6064 
 
 23044 68036 34493 
 
 53062 94838 
 
 1 22185 
 
 00036 
 
 10008 
 
 29274 29142 
 
 50557 
 
 23045 21099 29331 
 
 53064 17023 
 
 1 22184 
 
 00037 
 
 10008 
 
 52319 50241 
 
 79888 
 
 23045 74163 46354 
 
 53065 39207 
 
 1 22190 
 
 00038 
 
 10008 
 
 75365 24405 
 
 26242 
 
 23046 27228 85561 
 
 53066 61397 
 
 1 22192 
 
 00039 
 
 10008 
 
 98411 51634 
 
 11803 
 
 23046 80295 46958 
 
 53067 83589 
 
 1 22195 
 
 00040 
 
 10009 
 
 21458 31929 
 
 58761 
 
 23047 33363 30547 
 
 53069 05784 
 
 I 22196 
 
 00041 
 
 10009 44505 65292 89308 
 
 23047 86432 36331 
 
 53070 27980 
 
 1 22202 
 
 00042 
 
 10009 
 
 67553 51725 
 
 25639 
 
 23048 39502 64311 
 
 53071 50182 
 
 1 22202 
 
 00043 
 
 10009 
 
 90601 91227 
 
 89950 
 
 23048 92574 14493 
 
 53072 72384 
 
 1 22206 
 
 00044 
 
 10010 
 
 13650 83802 
 
 04443 
 
 23049 45646 86877 
 
 53073 94590 
 
 1 22208 
 
 00045 
 
 10010 36700 29448 
 
 91320 
 
 23049 98720 81467 
 
 53075 16798 
 
 1 22213 
 
 00046 
 
 10010 
 
 59750 28169 72787 
 
 23050 51795 98265 
 
 53076 3901 1 
 
 1 22213 
 
 00047 
 
 10010 82800 79965 71052 
 
 23051 04872 37276 
 
 53077 61224 
 
 1 22218 
 
 00048 
 
 10011 
 
 05851 84838 
 
 08328 
 
 23051 57949 98500 
 
 53078 83442 
 
 I 22219 
 
 00049 
 
 10011 
 
 28903 42788 06828, 
 
 23052 11028 81942 
 
 53080 05661 
 
 1 22224 
 
Tab. 
 
 4. 
 
 NUMBERS TO 20 PLACES. 
 
 
 (^01) 
 
 Log. 
 
 Number. 
 
 Differ. 
 
 1. 
 
 Diff.2. 
 
 D. 3. 
 
 00050 
 
 1001 1 51955 
 
 53816 
 
 88770 
 
 23052 
 
 64108 
 
 87603 
 
 53081 
 
 27885 
 
 I 22225 
 
 00051 
 
 10011 75008 
 
 17925 
 
 76373 
 
 23053 
 
 17190 
 
 15488 
 
 53082 
 
 50110 
 
 1 22228 
 
 00052 
 
 10011 98061 
 
 35115 
 
 91861 
 
 23053 
 
 70272 
 
 65598 
 
 53083 
 
 72338 
 
 1 22232 
 
 00053 
 
 10012 21115 
 
 05388 
 
 57459 
 
 23054 
 
 23356 
 
 37936 
 
 53084 
 
 94570 
 
 1 22233 
 
 00054 
 
 10012 44169 
 
 28744 95395 
 
 23054 76441 
 
 32506 
 
 53086 
 
 16803 
 
 1 22238 
 
 00055 
 
 10012 67224 05186 
 
 27901 
 
 23055 
 
 29527 
 
 49309 
 
 53087 
 
 39041 
 
 1 22238 
 
 00056 
 
 10012 90279 
 
 34713 
 
 77210 
 
 23055 
 
 82614 
 
 88350 
 
 53088 
 
 61279 
 
 1 22244 
 
 00057 
 
 10013 13335 
 
 17328 
 
 65560 
 
 23056 
 
 35703 
 
 49629 
 
 53089 
 
 83523 
 
 1 22245 
 
 00058 
 
 10013 36391 
 
 53032 
 
 15189 
 
 23056 
 
 88793 
 
 33152 
 
 53091 
 
 05768 
 
 1 22247 
 
 00059 
 
 10013 59448 
 
 41825 
 
 48341 
 
 23057 
 
 41884 
 
 38920 
 
 53092 
 
 28015 
 
 1 22252 
 
 00060 
 
 10013 82505 
 
 83709 
 
 87261 
 
 23057 
 
 94976 
 
 66935 
 
 53093 
 
 50267 
 
 1 22254 
 
 00061 
 
 10014 05563 
 
 78686 54196 
 
 23058 
 
 48070 
 
 17202 
 
 53094 
 
 72521 
 
 1 22255 
 
 00062 
 
 10014 28622 
 
 26756 
 
 71398 
 
 23059 
 
 01164 
 
 89723 
 
 53095 
 
 94776 
 
 1 22261 
 
 00063 
 
 10014 51681 
 
 27921 
 
 61121 
 
 23059 
 
 54260 
 
 84499 
 
 53097 
 
 17037 
 
 1 22262 
 
 00064 
 
 10014 74740 
 
 82182 
 
 45620 
 
 23060 
 
 07358 
 
 01536 
 
 53098 
 
 39299 
 
 1 22263 
 
 00065 
 
 10014 97800 
 
 89540 47156 
 
 23060 
 
 60456 
 
 40835 
 
 53099 
 
 61562 
 
 1 22270 
 
 00066 
 
 10015 20861 
 
 49996 
 
 87991 
 
 23061 
 
 1S556 
 
 02397 
 
 53100 
 
 83832 
 
 1 22270 
 
 00067 
 
 10015 43922 
 
 03552 
 
 90388 
 
 23061 
 
 6G656 
 
 86229 
 
 53102 
 
 06102 
 
 1 22273 
 
 00068 
 
 10015 66984 
 
 30209 
 
 76617 
 
 23062 
 
 19758 
 
 92331 
 
 53103 
 
 28375 
 
 1 22276 
 
 00069 
 
 10015 90046 49968 
 
 68948 
 
 23062 
 
 72862 
 
 20706 
 
 53104 50651 
 
 1 22280 
 
 00070 
 
 10016 13109 
 
 22830 
 
 89654 
 
 23063 
 
 25966 71357 
 
 53105 
 
 72931 
 
 1 22282 
 
 00071 
 
 10016 36172 
 
 48797 
 
 61011 
 
 23063 
 
 79072 
 
 44288 
 
 53106 
 
 95213 
 
 1 22284 
 
 00072 
 
 10016 59236 27870 05299 
 
 23064 
 
 32179 
 
 39501 
 
 53108 
 
 17497 
 
 1 22287 
 
 00073 
 
 10016 82300 60049 44800 
 
 23064 
 
 85287 
 
 56998 
 
 53109 
 
 39784 
 
 1 22290 
 
 00074 
 
 10017 05365 
 
 45337 
 
 01798 
 
 23065 
 
 38396 
 
 96782 
 
 53110 62074 
 
 1 22295 
 
 00075 
 
 10017 28430 
 
 83733 
 
 98580 
 
 23065 
 
 91507 
 
 58856 
 
 53111 
 
 84369 
 
 1 22295 
 
 00076 
 
 10017 51496 
 
 75241 
 
 57436 
 
 23066 
 
 44619 
 
 43225 
 
 53113 
 
 06664 
 
 I 22299 
 
 00077 
 
 10017 74563 
 
 19861 
 
 00661 
 
 23066 
 
 97732 
 
 49889 
 
 53114 28963 
 
 1 22301 
 
 00078 
 
 10017 97630 
 
 17 593 
 
 50550 
 
 23067 
 
 50846 
 
 78852 
 
 53115 
 
 51264 
 
 1 22305 
 
 00079 
 
 10018 20697 
 
 68440 
 
 29402 
 
 23068 
 
 03962 
 
 30116 
 
 53116 
 
 73569 
 
 1 22306 
 
 00080 
 
 10018 43765 
 
 72402 
 
 59518 
 
 23068 
 
 57079 
 
 03685 
 
 53U7 
 
 95875 
 
 1 22312 
 
 00081 
 
 10018 66834 
 
 29481 
 
 63203 
 
 23069 
 
 10196 
 
 99560 
 
 53119 
 
 18187 
 
 1 22312 
 
 00082 
 
 10018 89903 
 
 39678 
 
 62763 
 
 23069 
 
 63316 
 
 17747 
 
 53120 
 
 40499 
 
 1 22315 
 
 00083 
 
 10019 12973 
 
 02994 
 
 80510 
 
 23070 
 
 16436 
 
 58246 
 
 53121 
 
 62814 
 
 1 22318 
 
 00084 
 
 10019 36043 
 
 19431 
 
 38756 
 
 23070 69558 21060 
 
 53122 
 
 85132 
 
 1 22324 
 
 00085 
 
 10019 59113 
 
 88989 
 
 59816 
 
 23071 
 
 22681 
 
 06192 
 
 53124 07456 
 
 1 22321 
 
 00086 
 
 10019 82185 
 
 11670 
 
 66008 
 
 23071 
 
 75805 
 
 13648 
 
 53125 
 
 29777 
 
 1 22329 
 
 00087 
 
 10020 05256 
 
 87475 
 
 79656 
 
 23072 28930 
 
 43425 
 
 53126 
 
 52106 
 
 1 22329 
 
 00088 
 
 10020 28329 
 
 16406 
 
 23081 
 
 23072 
 
 82056 
 
 95531 
 
 53127 
 
 74435 
 
 1 22332 
 
 00089 
 
 10020 51401 
 
 98463 
 
 18612 
 
 23073 
 
 35184 69966 
 
 53128 
 
 96767 
 
 1 22336 
 
 00090 
 
 10020 74475 
 
 33647 
 
 88578 
 
 23073 
 
 88313 
 
 66733 
 
 53130 
 
 19103 
 
 1 22339 
 
 00091 
 
 10020 97549 
 
 21961 
 
 55311 
 
 23074 
 
 41443 
 
 85836' 
 
 53131 
 
 41442 
 
 1 22339 
 
 00092 
 
 10021 20623 
 
 63405 
 
 41147 
 
 23074 
 
 94575 
 
 27278 
 
 53132 
 
 63781 
 
 1 22346 
 
 00093 
 
 10021 43698 57980 68425 
 
 23075 
 
 47707 
 
 91059 
 
 53133 
 
 86127 
 
 1 22345 
 
 00094 
 
 10021 66774 05688 
 
 59484 
 
 23076 
 
 00841 
 
 77186 
 
 53135 
 
 08472 
 
 1, 22351 
 
 00095 
 
 10021 89850 
 
 06530 
 
 36670 
 
 23076 
 
 53976 
 
 85658 
 
 53136 
 
 30823 
 
 1 22350 
 
 00096 
 
 10022 12926 
 
 60507 
 
 22328 
 
 23077 
 
 07113 
 
 1 648 1 
 
 53137 
 
 53173 
 
 1 223 58 
 
 00097 
 
 10022 36003 
 
 67620 38809 
 
 23077 
 
 60250 
 
 69654 
 
 53138 
 
 75531 
 
 1 22355 
 
 00098 
 
 10022 59081 
 
 27871 
 
 08463 
 
 23078 
 
 13389 
 
 45185 
 
 53139 
 
 97886 
 
 1 22363 
 
 00099 
 
 10022 82159 
 
 41260 
 
 53648 
 
 23078 
 
 66529 
 
 43071 
 
 53141 
 
 20249 
 
 1 22362 
 
 3 P 
 
(20^2) 
 
 LOGARITHMS and NUMBERS tO 20 PLACES. Tab. 4.] 
 
 Log. 
 
 
 Number. 
 
 
 Differ. 
 
 1. 
 
 Diff. Q. 
 
 D. 3. 
 
 00100 
 
 10023 
 
 05238 077S9 
 
 96719 
 
 23079 19670 
 
 63320 
 
 53142 
 
 42611 
 
 1 22368 
 
 00101 
 
 10023 
 
 28317 27460 
 
 60039 
 
 23079 72813 
 
 05931 
 
 53143 
 
 64979 
 
 1 22367 
 
 00102 
 
 10023 
 
 51397 00273 
 
 65970 
 
 23080 25956 70910 
 
 53144 
 
 87346 
 
 1 22374 
 
 00103 
 
 10023 
 
 74477 26230 
 
 36880 
 
 23080 79101 
 
 58256 
 
 53146 
 
 09720 
 
 1 22374 
 
 00104 
 
 10023 
 
 97558 05331 
 
 95136 
 
 23081 32247 
 
 67976 
 
 53147 
 
 32094 
 
 1 22^378 
 
 00105 
 
 10024 
 
 20639 37579 
 
 63112 
 
 23081 85395 
 
 00070 
 
 53148 
 
 54472 
 
 1 22380 
 
 00106 
 
 10024 
 
 43721 22974 
 
 63182 
 
 23082 38543 
 
 54542 
 
 53149 
 
 76852 
 
 1 22383 
 
 00107 
 
 10024 
 
 66803 61518 
 
 17724 
 
 23082 91693 
 
 31394 
 
 53150 
 
 99235 
 
 1 22386 
 
 00108 
 
 10024 
 
 89886 53211 
 
 49118 
 
 23083 44844 
 
 30629 
 
 53152 
 
 21621 
 
 1 22390 
 
 00109 
 
 10025 
 
 129(>9 98055 79747 
 
 23083 97996 
 
 52250 
 
 53153 
 
 44011 
 
 1 22392 
 
 001 10 
 
 10025 
 
 36053 96052 
 
 31997 
 
 23084 51149 
 
 96261 
 
 53154 
 
 66403 
 
 1 22393 
 
 001 11 
 
 10025 
 
 59133 47202 
 
 28258 
 
 23085 04304 
 
 62664 
 
 53155 
 
 88796 
 
 1 22398 
 
 00112 
 
 10025 
 
 82223 51506 
 
 90922 
 
 23085 57460 
 
 51460 
 
 53157 
 
 11194 
 
 1 22400 
 
 00113 
 
 10026 
 
 05309 08967 
 
 42382 
 
 23086 10617 
 
 62654 
 
 53158 
 
 33594 
 
 1 22403 
 
 00114 
 
 10026 
 
 28395 19585 
 
 05036 
 
 23086 63775 
 
 96248 
 
 53159 
 
 55997 
 
 1 22407 
 
 00115 
 
 10026 
 
 51481 33361 
 
 01284 
 
 23087 16935 
 
 52245 
 
 53160 
 
 7^-04 
 
 1 22407 
 
 00116 
 
 10026 
 
 74569 00296 
 
 53529 
 
 23087 70096 
 
 30649 
 
 53162 
 
 00811 
 
 1 22412 
 
 00117 
 
 10026 
 
 97656 70392 
 
 84178 
 
 23088 23258 
 
 31460 
 
 53163 
 
 23223 
 
 1 22415 
 
 00118 
 
 10027 
 
 20744 93651 
 
 15638 
 
 23088 76421 
 
 54683 
 
 53164 
 
 45638 
 
 1 22416 
 
 00119 
 
 10027 
 
 43833 70072 
 
 70321 
 
 23089 29586 
 
 00321 
 
 53165 
 
 68054 
 
 1 22421 
 
 00120 
 
 10027 
 
 66922 99658 
 
 70642 
 
 23089 82751 
 
 6837^5 
 
 5316a 90475 
 
 1 22422 
 
 00121 
 
 10027 
 
 90012 82410 
 
 39017 
 
 23090 35918 
 
 58850 
 
 53168 
 
 12897 
 
 1 22425 
 
 00122 
 
 10028 
 
 13103 18328 
 
 97867 
 
 23090 89086 
 
 71747 
 
 53169 
 
 35322 
 
 1 22430 
 
 00123 
 
 10028 
 
 36194 07415 
 
 69614 
 
 23091 42256 
 
 07069 
 
 53170 
 
 57752 
 
 1 22430 
 
 00124 
 
 10028 
 
 59285 49671 
 
 76683 
 
 23091 95426 
 
 64821 
 
 53171 
 
 80182 
 
 1 22434- 
 
 00125 
 
 10028 
 
 82377 45098 
 
 41504 
 
 23092 48598 
 
 45003 
 
 53173 
 
 02616 
 
 1 22438 
 
 00126 
 
 10029 
 
 05469 93696 
 
 86507 
 
 23093 01771 
 
 47619 
 
 53174 25054 
 
 1 22438- 
 
 00127 
 
 10029 
 
 28562 95468 
 
 34126 
 
 23093 54945 
 
 72673 
 
 53175 
 
 47492 
 
 1 22443 
 
 00128 
 
 10029 
 
 51656 50414 06799 
 
 23094 08121 
 
 20165 
 
 53176 
 
 69935 
 
 1 22446 
 
 00129 
 
 10029 
 
 74750 58535 
 
 26964 
 
 23094 61297 
 
 9O100 
 
 53177 
 
 92381 
 
 1 22448 
 
 00130 
 
 10029 
 
 97845 19833 
 
 17064 
 
 23095 14475 
 
 82481 
 
 53179 
 
 14829 
 
 1 22450 
 
 00131 
 
 10030 20940 34308 
 
 99545 
 
 23095 67654 
 
 97310 
 
 53180 
 
 37279 
 
 1 22454 
 
 00132 
 
 10030 
 
 44036 01963 
 
 96855 
 
 23096 20835 
 
 34589 
 
 53181 
 
 59733 
 
 I 22457 
 
 00133 
 
 10030 
 
 67132 22799 
 
 31444 
 
 23096 74016 
 
 94322 
 
 53182 
 
 82190 
 
 1 22459 
 
 00134 
 
 10030 
 
 90228 96816 25766 
 
 23097 2719& 76512 
 
 53184 04649 
 
 1 22463 
 
 00135 
 
 10031 
 
 13326 24016 
 
 02278 
 
 23097 80385 
 
 81161 
 
 53185 
 
 27112 
 
 1 22464 
 
 00136 
 
 10031 
 
 36424 04399 
 
 83439 
 
 23098 3356& 08273 
 
 53186 49576 
 
 1 22469 
 
 00137 
 
 10031 
 
 59522 37968 
 
 91712 
 
 23098 86755 
 
 57849 
 
 53187 
 
 72045 
 
 1 22469 
 
 00138 
 
 10031 
 
 82621 24724 49561 
 
 23099 39943 
 
 29894 
 
 53188 
 
 94514 
 
 1 22475 
 
 00139 
 
 10032 
 
 05720 64667 
 
 79455 
 
 23099 93132 
 
 24408 
 
 53190 
 
 16989 
 
 1 22476 
 
 00140 
 
 10032 
 
 28820 57800 03863 
 
 23100 46322 
 
 41397 
 
 53191 
 
 39465 
 
 1 22478 
 
 00141 
 
 10032 
 
 51921 04122 
 
 45260 
 
 23100 99513 
 
 80862 
 
 53192 
 
 61943 
 
 1 22483 
 
 00142 
 
 10032 
 
 75022 03636 
 
 26122 
 
 23101 52706 
 
 42805 
 
 53193 
 
 84426 
 
 1 22483 
 
 00143 
 
 10032 
 
 98123 56342 
 
 68927 
 
 23102 05900 27231 
 
 53195 06909: 
 
 1 22484 
 
 00144 
 
 10033 
 
 21225 62242 
 
 96158 
 
 23102 59695 
 
 34140 
 
 53196 
 
 29393 
 
 1 22490 
 
 00145 
 
 10033 
 
 44328 21338 
 
 30298 
 
 23103 12291 
 
 63533 
 
 53197 
 
 51883 
 
 1 22495 
 
 00146 
 
 10033 
 
 07431 33629 
 
 93831 
 
 23103 65489 
 
 15416 
 
 53198 
 
 74378 
 
 1 22499 
 
 00147 
 
 10033 
 
 90534 99119 
 
 09247 
 
 23104 18687 
 
 89794 
 
 53199 
 
 96377 
 
 I 22501 
 
 00148 
 
 10034 
 
 13639 17806 
 
 99041 
 
 23104 71887 
 
 86671 
 
 53201 
 
 19378 
 
 1 22503 
 
 00149 
 
 10034 
 
 36743 89694 
 
 85712 
 
 23105 25089 
 
 06049 
 
 53202 
 
 41881 
 
 I 22506 
 
TABLE V. 
 
 Briggs's Logarithms of all Numbers to 100, and of Primes 
 under WOO, to Six ty-one Places, 
 
 N Tab, 5. LOGARITHMS TO 61 PLACES. (203) N 
 
 1 
 
 0-00000 00000 00000 00000 00000 00000 00000 00000 00000 00000 00000 000000 
 
 1 
 
 2 
 
 0-30102 9995G 63981 19521 37388 94724 49302 67681 89881 46210 85413 104275 
 
 2 
 
 3 
 
 0-47712 12547 19662 43729 50279 03255 11530 92001 28864 19069 58648 298656 
 
 3 
 
 4 
 
 0-60205 99913 27962 39042 7A777 89448 98605 35363 79762 92421 70826 208549 
 
 4 
 
 5 
 
 0-69897 00043 36018 80478 62611 05275 50697 32318 10118 53789 14586 895725 
 
 5 
 
 6 
 
 0-77815 12503 83643 63250 ^7Q67 97979 60833 59683 18745 65280 44061 402931 
 
 6 
 
 7 
 
 0-84509 80400 14256 83071 22162 58592 63619 34835 72396 32396 54065 036350 
 
 7 
 
 8 
 
 0-90308 99869 91943 58564 12166 84173 47908 03045 69644 38632 56239 312824 
 
 8 
 
 9 
 
 0-95424 25094 39324 87459 00558 06510 23061 84002 57728 38139 17296 597313 
 
 9 
 
 10 
 
 1-00000 00000 00000 00000 00000 00000 00000 00000 00000 00000 00000 000000 
 
 10 
 
 11 
 
 1-04139 26851 58225 04075 01999 71243 02424 17067 02190 46645 30945 965390 
 
 11 
 
 12 
 
 1-07918 12460 47624 82772 25056 92704 10136 27365 08627 11491 29474 507206J 12 
 
 13 
 
 M1394 33523 06836 76920 65051 57942 32843 08297 29188 38706 82718 011910 13 
 
 14 
 
 1-14612 80356 78238 02592 59551 53317 12922 02517 62277 78607 39478 140624 14 
 
 15 
 
 1-17609 12590 55681 24208 12890 08530 62228 24319 38982 72858 73235 194382 15 
 
 16 
 
 1-20411 99826 55924 78085 49555 78897 97210 70727 59525 84843 41652 417098 ^0 
 
 17 
 
 1-23044 89213 78273 92854 01698 94328 33703 00075 67378 42504 63973 803685 
 
 17 
 
 18 
 
 1-25527 25051 03306 06980 37947 01234 72364 51684 47609 84350 02709 701587 
 
 18 
 
 19 
 
 1-27875 36009 52828 96153 63334 75756 92931 79511 29337 39449 75989 068189 
 
 19 
 
 20 
 
 1-30102 99956 63981 19521 37388 94724 49302 67681 89881 46210 85413 104275 
 
 20 
 
 21 
 
 1-32221 92947 33919 26800 72441 6X847 75150 26837 01260 51466 12713 335006 
 
 21 
 
 22 
 
 1-34242 26808 22206 23596 39388 6h9Q7 51726 84748 92071 92856 16359 069665 
 
 22 
 
 23 
 
 1-36172 78360 17592 87886 77771 12251 18954 96975 11034 33609 61882 756055 
 
 23 
 
 24 
 
 1-38021 12417 11606 02293 62445 87428 59438 95046 98508 57702 14887 611480 
 
 24 
 
 25 
 
 1-39794 00086 72037 60957 25222 10551 01394 64636 20237 07578 29173 791451 
 
 25 
 
 26 
 
 1-41497 33479 70817 96442 02440 52666 82145 75979 19069 84917 68131 116184 
 
 26 
 
 27 
 
 1-43136 37641 58987 31188 50837 09765 34592 76003 86592 57208 75944 895969 
 
 27 
 
 28 
 
 1-44715 80313 42219 22113 96940 48041 62224 70199 52159 24818 24891 244899 
 
 28 
 
 29 
 
 1-46239 79978 98956 08733 28467 62969 25499 12542 94417 88715 38410 653969 
 
 29 
 
 30 
 
 1-47712 12547 19662 43729 50279 03255 11530 92001 28864 19069 58648 298656 
 
 30 
 
 31 
 
 1-49136 16938 34272 G79GQ 67041 00118 41572 23037 01558 30418 46559 383498 
 
 31 
 
 32 
 
 1-50514 99783 19905 97606 86944 73622 46513 38409 49407 31054 27065 521373 
 1-51851 30398 77887 47804 52278 74498 13955 09068 31054 65714 89594 264047 
 
 32 
 
 33 
 
 33 
 
 34 
 
 1-53147 89170 42255 12375 39087 89052 83005 67757 57259 88715 ^Q386 907959 
 
 34 
 
 35 
 
 1-54406 80443 50275 63549 84773 63868 14316 67153 82514 86185 o<i651 932075 
 
 35 
 
 36 
 
 1-55630 25007 67287 26501 75335 95959 21667 19366 37491 30560 88122 805862 
 
 36 
 
 37 
 
 1-56820 17240 66994 99680 84506 89539 12944 79829 72690 16631 25466 \76799 
 
 37 
 
 38 
 
 1-57978 35966 16810 15675 00723 70481 42234 47193 19218 85660 63402 I72463i38 
 
 39 
 
 1-59106 46070 26499 20650 15330 61197 44374 00298 58052 ^777G 41366 310566(39 
 
 40 
 
 1-60205 99913 27962 39042 74777 89448 98605 35363 79762 92421 70826 208549 
 
 40 
 
 41 
 
 1-61278 38567 19735 49450 94118 49968 18079 95305 13633 83368 70890 073567 
 
 41 
 
 42 
 
 1-62324 92903 97900 46322 09830 56572 24452 94518 91141 9767Q 98126 439281 
 
 42 
 
 43 
 
 1-63346 84555 79586 52640 50881 53229 22215 88087 74884 38009 34145 247493 
 
 43 
 
 44 
 
 1-64345 26764 86187 43117 7G777 60692 01029 52430 81953 39067 01772 173939 
 
 44 
 
 45 
 
 1-65321 25137 75343 G79Z7 63169 11785 73759 16320 67846 91928 31883 493038 
 
 45 
 
 46 
 
 1-66275 78316 81574 07408 15160 06975 68257 64657 00915 79820 47295 860329 
 
 46 
 
 47 
 
 1-67209 78579 35717 46441 42193 99449 20064 01598 03098 42994 78270 373294 
 
 47 
 
 48 
 
 1-68124 12373 75587 21814 99834 82153 08741 62728 88390 03913 00300 715755 
 
 48 
 
 49 
 
 1-69019 60800 28513 66142 44325 17185 27238 69671 44792 64793 08130 072699 
 
 49 
 
 60 
 
 1-69897 00043 36018 80478 62611 05275 50697 32318 10118 53789 14586 896725 
 
 50 
 
 51 
 
 1-70757 01760 97936 36583 51977 97583 45233 92076 96242 61574 22622 102341 
 
 51 
 
 52 
 
 1-71600 33436 34799 15963 39829 47391 31448 43661 08951 31128^3544 220459 
 
 52 
 
 53 
 
 1-72427 58696 00789 04563 29922 91627 25659 26955 02401 29493 77805 941030 
 
 53 
 
 54 
 
 1-73239 37598 22968 50709 88226 04489 83895 43685 76474 03419 61358 000244 
 
 54 
 
 55 
 
 1-74036 26894 94243 84553 64610 76518 53121 49385 12309 00434 45632 861116 
 
 55 
 
 56 
 
 1-74818 80270 06200 41635 34329 42766 11527 37881 42040 71029 10304 349173 
 
 56 
 
 57 
 
 1-75587 48556 72491 39883 13613 79012 04462 71612 58201 58519 34637 366845 
 
 57 
 
 ^. 
 
 1-76342 79935 62937 28254 65856 57693 74801 80224 84299 34926 23823 758244 
 
 58 
 
 1-77085 20116 42144 19026 06563 84535 14423 89267 44474 93076 52155 272857 
 
 59 
 
 60 
 
 1-77815 12503 83643 63250 %7667 97979 60833 59683 18745 65280 44061 402931 
 
 60 
 
N {10 i) tocARiTHMs TO 61 PLACES. Tab. 5 N 
 
 61 
 62 
 63 
 64 
 65 
 
 66 
 67 
 68 
 69 
 70 
 
 71 
 72 
 73 
 74 
 75 
 
 76 
 
 77 
 78 
 79 
 80 
 
 81 
 82 
 83 
 84 
 85 
 86 
 87 
 88 
 89 
 90 
 
 91 
 92 
 93 
 94 
 95 
 
 96 
 97 
 98 
 99 
 101 
 
 103 
 107 
 109 
 113 
 127 
 131 
 137 
 139 
 149 
 151 
 
 157 
 163 
 167 
 173 
 179 
 
 181 
 191 
 193 
 197 
 199 
 
 211 
 
 223 
 227 
 229 
 233 
 239 
 
 1-78532 98350 10767 03388 67485 13757 32134 92633 78757 11340 42120 703489 
 1-79239 16894 98253 87488 04429 94842 90874 90718 91439 76629 31972 487773 
 1-79934 05494 53581 70530 22720 65102 86681 18838 301.24 70535 71361 633662 
 1-80617 99739 83887 17128 24333 68346 95816 06091 39288 77265 12478 625648 
 1-81291 33566 42855 57399 27662 63217 83540 40615 39306 92495 97304 907635 
 1-81954 39355 41868 67325 S9667 69222 63257 76750 20936 11925 75007 368321 
 1-82607 48027 00826 43414 91316 29226 06858 09496 26080 56861 38691 179160 
 1-83250 89127 06236 31896 76476 83777 32308 35439 47141 34926 34800 012234 
 1-83884 90907 37255 31616 28050 15506 30485 88976 39898 52679 20531 054711 
 1-84509 80400 14256 83071 22162 58592 63619 34835 72396 32396 54065 036350 
 1-85125 83487 19075 28609 28294 35035 42913 52704 19901 60039 19762 766499 
 1-85733 24964 31268 46023 12724 90683 70969 87048 27372 76771 73535 910137 
 1-86332 28601 20455 90107 43869 00470 30853 44528 68255 31165 74851 100020 
 1-86923 17197 30976 19202 21895 84263 62247 47511 62571 62842 10879 281074 
 1-87506 12633 91700 04686 75501 13806 12925 56637 49101 26647 87822 090107 
 1-8B081 35922 80791 35196 38112 65205 91537 14875 09100 31871 46815 276738 
 1-88649 07251 72481 87146 24162 29835 66043 51902 74586 79041 85011 001740 
 1-89209 46026 90480 40171 52719 55921 93676 67980 47934 03987 26779 414841 
 1-89762 70912 90441 42799 48213 86478 24968 64828 62019 02515 03156 163513 
 1-90308 99869 91943 58564 12166 84173 47908 03045 69644 38632 56239 312824 
 
 1-90848 50188 78649 74918 01116 13620 46123 68005 15456 76278 34593 194626 
 1-91381 38523 83716 68972 31507 44692 67332 62987 03515 29579 56303 177842 
 1-91907 80923 76073 90383 27603 52027 26124 70016 37658 08063 04535 293708 
 1-92427 92860 61881 65843 47219 51296 73755 62200 81023 43887 83539 543555 
 1-92941 89257 14292 73332 64309 99603 84400 32393 77496 96293 78560 699410 
 
 1-93449 84512 43567 72161 88270 47953 71518 55769 64765 84220 19558 351768 
 1-93951 92526 18618 52462 78746 66224 37030 04544 23282 07784 97058 952625 
 1-94448 26721 50168 62639 14166 55416 50332 20112 71834 85277 87185 278214 
 1-94939 00066 44912 78472 35433 69702 44112 46651 61858 10024 45836 328694 
 1-95424 25094 39324 87459 00558 06510 23061 84002 57728 38139 17296 597313 
 1-95904 13923 21093 59991 87214 16534 96462 43133 01584 71103 36783 048259 
 1-96378 78273 45555 26929 52549 01700 17560 32338 90797 26031 32708 964604 
 1-96848 29485 53935 11696 17320 03373 53103 15038 30422 49488 05207 682155 
 1-97312 78535 99698 65962 79582 94173 69366 69279 92979 89205 63683 477569 
 1-97772 36052 88847 76632 25945 81032 43629 11829 39455 93238 90575 963914 
 
 1-98227 12330 39568 41336 37223 76877 58044 30410 78271 50123 85713 820029 
 1-98677 17342 66244 85178 43618 11665 57744 94258 41584 63886 69747 187207 
 1-99122 60756 92494 85663 81714 11909 76541 37353 34674 11003 93543 176974 
 1-99563 51945 97549 91534 02557 77753 25486 01069 59918 84784 48242 562703 
 2-00432 13)^/ 82642 57427 51881 78222 93791 32192 89355 20645 25914 058186 
 2-01283 72247 05172 20517 10711 94580 23942 43905 23*56 97603 05647 528079 
 2-02938 3777G 85209 64083 45412 39461 43664 61268 16891 63401 93519 816620 
 2-03742 64979 40623 63520 05133 07613 87528 66422 04522 82798 36821 104005 
 2-05307 84434 83419 72279 52270 28609 44818 47783 83623 62209 73395 157054 
 2-10380 37209 55956 86424 69874 21827 28625 85765 63239 79229 38677 687822 127 
 
 2-11727 12956 55764 26081 00542 70697 73859 47801 63117 12162 69689 770335 
 2-13672 05671 56406 76856 29266 27114 78973 36782 29707 464'i3 50456 632444 
 2-14301 48002 54095 08045 64332 0-2319 84731 44797 32967 917^5 93396 574308 
 2-17318 62684 12274 03826 73635 42628 33705 39346 71326 37222 11012 048653 
 2-17897 69472 93169 43686 90730 55337 30278 84460 93428 776S7 74510 971401 
 2-19589 96524 09233 73676 14811 29897 28370 50651 90992 78552 95873 594477 
 2-21218 76044 03957 80764 00914 35925 99475 49930 97247 35985 06185 303704 
 2-22271 64711 47583 27998 40759 09920 46753 44613 38401 33125 82289 069635 
 2-23804 61031 28795 41456 05302 58758 46588 77816 83269 13492 66453 98874S 
 2-25285 30309 79893 16957 03826 91773 05861 94310 72090 67852 86239 477285 
 2-25767 85748 69184 61028 97436 76412 29249 22479 59232 7^291 88769 574799 
 2-28103 33672 47727 53763 50435 98270 61031 84957 36134 17824 30405 891262 
 2-28555 73090 07773 76059 72386 46353 31082 10979 21601 94604 88412 889733 
 2-29446 62261 61592 92737 17443 17717 15501 75120 64672 00453 36906 180720 
 2-29885 30764 09706 65010 00217 84419 80284 14948 88771 49827 32431 907065 
 2-32428 24552 97692 66508 15581 29927 88565 15502 58502 90193 86869 014730 
 2-34830 48G30 48160 67347 51762 16240 35284 44534 24237 98021 08177 231582 
 2-35602 58571 93122.72010 30489 64753 67294 74838 78261 56058 48416 494656 
 2-35983 54823 3988/ 99412 79298 65526 65887 03358 93242 54328 14002 593934 
 2-36735 59210 26018 97218 91388 35476 85936 08884 54098 32289 45750 381402 
 2-37839 79009 48137 68500 16611 60147 89212 27092 22421 69429 85262 599734 
 
 61 
 62 
 63 
 64 
 65 
 66 
 67 
 68 
 69 
 70 
 
 71 
 
 72 
 73 
 74 
 75 
 
 76 
 
 77 
 7'6 
 79 
 80 
 
 81 
 82 
 83 
 84 
 85 
 86 
 87 
 
 89 
 90 
 
 'J\ 
 92 
 93 
 94 
 95 
 
 96 
 97 
 98 
 99 
 101 
 
 103 
 107 
 109 
 113 
 
 131 
 137 
 139 
 149 
 151 
 
 157 
 163 
 167 
 173 
 179 
 
 181 
 191 
 193 
 197 
 199 
 
 211 
 223 
 227 
 229 
 233 
 239 
 
N Tab. 5. LOGARITHMS TO 61 PLACES. (205 
 
 )N 
 
 241 
 
 2-38201 70425 74868 38407 68839 66454 63294 43845 75422 87941 37116 090780 
 
 241 
 
 251 
 
 2-39967 37214 81038 13934 05493 16706 90408 18574 66685 39315 23086 557977 
 
 251 
 
 257 
 
 2-40993 31233 31294 53716 28954 65919 63183 09299 89891 62261 22190 657085 
 
 257 
 
 263 
 
 2-41995 57484 89757 86897 22335 83870 11811 42207 55733 87652 55581 847682 
 
 263 
 
 269 
 
 2-42975 22800 02407 98008 72285 15871 27175 37709 54680 10337 16358 202492 
 
 269 
 
 271 
 
 2-43296 92908 74405 72952 11801 94875 18026 90280 28099 71147 47196 959683 
 
 271 
 
 277 
 
 2-44247 97690 64448 55377 77563 19599 75831 09223 84739 72572 00838 275546 
 
 277 
 
 281 
 
 2-44870 63199 05079 89286 39179 16275 08871 55000 84994 87733 11091 225526 
 
 281 
 
 283 
 
 2-45178 64355 24290 23555 89519 10570 23772 98828 25398 13326 05411 834686 
 
 283 
 
 293 
 
 2-46686 76203 54109 45624 37585 12602 18133 14970 80293 87633 91801 387293 
 
 293 
 
 307 
 
 2-48713 83754 77186 48475 46084 36539 33504 93281 89817 26663 11352 567959 
 
 307 
 
 311 
 
 2-49276 03890 26837 50555 30231 83253 64155 85949 18519 90441 42367 782324 
 
 311 
 
 313 
 
 2-49554 43375 46448 48480 81265 04861 24315 15792 98693 98571 52993 196813 
 
 313 
 
 317 
 
 2-50105 92622 17751 49455 32290 16378 22488 04877 22158 71549 07278 111979 
 
 317 
 
 331 
 
 2-51982 79D37 75718 73860 81406 07340 85663 50827 13549 69614 46087 295510 
 
 331 
 
 337 
 
 2-52762 99008 71338 62619 00147 90194 51019 87041 58106 86338 94145 590771 
 
 337 
 
 347 
 
 2-54032 94747 90873 71853 53573 03206 97397 868C5 56176 91243 65052 250367 
 
 347 
 
 349 
 
 2-54282 54269 59179 89654 01719 77159 63066 31783 00866 75487 04181 990296 
 
 349 
 
 353 
 
 2-54777 47053 87822 56549 70693 15968 56119 79362 71500 87293 47356 171765 
 
 353 
 
 359 
 
 2-55509 44485 78319 14781 65293 94413 89970 02357 64461 12862 45018 194841 
 
 359 
 
 367 
 
 2-56466 60642 52089 33798 75290 93006 90914 75947 52157 57773 73388 529180 
 
 367 
 
 373 
 
 2-57170 88318 08687 60550 68969 38701 43991 49308 33032 45651 82236 828475 
 
 373 
 
 379 
 
 2-57863 92099 68072 34193 14620 59454 44405 29413 87210 96923 21381 081258 
 
 379 
 
 383 
 
 2-58319 87739 68622 74037 90461 29502 11234 47857 39787 51936 81090 658346 
 
 383 
 
 389 
 
 2-58994 96013 25707 73624 49469 11731 95270 14076 41221 24688 95645 064384 
 
 389 
 
 397 
 
 2-59879 05067 63115 06587 68482 40568 63112 25522 37562 91876 18078 588386 
 
 397 
 
 401 
 
 2-60314 43726 20182 30654 46411 48149 42549 75189 88963 37359 82761 562011 
 
 401 
 
 409 
 
 2-61172 33080 07341 80360 95027 17736 46679 00320 51595 65255 67279 407052 
 
 409 
 
 419 
 
 2-62221 40229 66295 30985 07395 99373 73621 25514 08166 99180 26223 814797 
 
 419 
 
 421 
 
 2-62428 20958 35668 30744 40669 23421 44371 09437 88488 01681 56998 058298 
 
 421 
 
 431 
 
 2-63447 72701 60731 60075 02803 26184 67878 49873 63233 16232 39160 168424 
 
 431 
 
 433 
 
 2-63648 78963 53365 44269 80664 49685 26766 08604 17833 53839 54652 633209 
 
 433 
 
 439 
 
 2-64246 45202 42121 37063 37411 50613 31363 46233 64482 93197 78492 698498 
 
 439 
 
 443 
 
 2-64640 37262 23069 56023 01044 89684 53902 83230 69450 39547 31960 218878 
 
 443 
 
 449 
 
 2-65224 63410 03323 17491 90263 53743 43105 35027 59942 01108 72112 409383 
 
 449 
 
 457 
 
 2-65991 62000 69850 22235 35461 45220 47714 05940 16155 52489 85626 587883 
 
 457 
 
 461 
 
 2-66370 09253 89648 14507 46818 18487 42133 71937 47244 04839 02463 622776 
 
 461 
 
 463 
 
 2-66558 09910 17953 13567 41931 08438 70855 40157 65450 46974 53874 838090 
 
 463 
 
 467 
 
 2-66931 68805 66112 16308 80510 89779 99674 10010 61401 55968 77553 654228 
 
 467 
 
 479 
 
 2-68033 55134 14563 22009 69639 66962 31078 27266 76340 01805 94696 676822 
 
 479 
 
 487 
 
 2-68752 89612 14634 33246 32050 64435 75372 38433 54413 59009 69060 272887 
 
 487 
 
 491 
 
 2-69108 14921 22968 47275 36909 83546 39435 54324 95219 43164 65484 935064 
 
 491 
 
 499 
 
 2-69810 05456 23389 91416 59050 36033 38846 73162 68889 76585 04407 216866 
 
 499 
 
 503 
 
 2-70156 79850 55927 39709 82240 90279 52805 50061 79311 63264 13100 626989 
 
 503 
 
 509 
 
 2-70671 77823 36758 74656 80767 11564 25501 75116 31022 82795 59327 732505 
 
 509 
 
 521 
 
 2-71683 77232 99524 47423 63411 86589 82340 55592 48804 35659 10389 037518 
 
 521 
 
 623 
 
 2-71850 16888 67274 23926 01265 78891 07882 05229 27624 54022 80340 618542 
 
 623 
 
 S41 
 
 2-73319 72651 06569 43687 93482 43895 35766 02744 51126 64918 07249 958843 
 
 541 
 
 547 
 
 2-73798 73263 33430 77381 26473 72542 06411 41123 32573 38734 83672 544294 
 
 547 
 
 557 
 
 2-74585 51951 73728 90044 34334 98899 38696 26667 22982 65562 88916 047639 
 
 557 
 
 563 
 
 2-75050 83948 51346 22909 45827 07761 08389 89309 27510 02997 46276 527041 
 
 563 
 
 569 
 
 2-75511 22663 95071 17228 70555 24030 20058 87808 40566 56954 49337 662164 
 
 569 
 
 571 
 
 2-75663 61082 45848 05004 02841 30031 39578 08074 83371 59899 19622 253745 
 
 571 
 
 577 
 
 2-76117 58131 55731 42848 88336 67563 87165 18349 94631 00807 86067 506949 
 
 577 
 
 587 
 
 2-76863 81012 47614 47606 35592 98598 71376 19981 12599 05673 24995 758554 
 
 587 
 
 593 
 
 2-77305 46933 64262 60639 66715 59821 78133 09249 84055 79640 65224 216122 
 
 593 
 
 599 
 
 2-77742 68223 89311 37982 81725 69101 74684 25198 87827 14494 37552 485037 
 
 599 
 
 601 
 
 2-77887 44720 02739 52088 58506 99987 83983 48917 52297 24032 80181 145090 
 
 601 
 
 607 
 
 2-78318 86910 75257 58096 01956 30455 95072 14062 42317 98498 79486 868541 
 
 607' 
 
 613 
 
 2-78746 04745 18415 03774 22662 81456 fl5078 29528 38564 77870 60511 887769 
 
 613 
 
 617 
 
 2-79028 51640 33241 68204 54661 67275 45331 98845 73431 10231 76836 317560 
 
 617 
 
 619 
 
 2-79169 06490 20117 97679 79674 34394 50G49 41105 79264 06695 48606 134085 
 
 619 
 
 631 
 
 2-80002 93592 44134 31301 69298 49975 36836 15526 21483 45926 22618 819406 
 
 631 
 
 641 
 
 2-80685 80295 18817 42224 83770 09638 02810 30784 64091 37064 08860 016375 
 
 641 
 
 643 
 
 2-80821 09729 24222 07249 19385 05465 83232 48443 16034 72535 33279 475692 
 
 643 
 
 647 2-81090 42806 68700 38445 84305 62795 3o772 33374 52752 88620 55534 785384 
 
 647 
 
N (206) LOGARITHMS TO 01 PLACEs^. ' Tab. 5 N 
 
 653 
 659 
 GG\ 
 67 :\ 
 677 
 683 
 691 
 701 
 709 
 719 
 
 727 
 733 
 739 
 743 
 751 
 
 757 
 761 
 
 769 
 773 
 
 787 
 
 797 
 809 
 811 
 821 
 823 
 
 827 
 829 
 839 
 853 
 857 
 859 
 863 
 877 
 881 
 883 
 
 887 
 907 
 911 
 919 
 929 
 
 937 
 941 
 947 
 953 
 967 
 
 971 
 
 977 
 
 983 
 
 991 
 
 997 
 
 1009 
 
 1013 
 
 1019 
 
 1021 
 
 1031 
 
 1033 
 1039 
 1049 
 1051 
 1061 
 
 1063 
 1069 
 
 1087 
 1091 
 1093 
 
 1097 
 
 2-81491 31812 75073 92142 93105 65465 57968 44420 93073 59911 14836 790768 
 2-81888 54145 94009 86128 04846 07065 038^4 71245 58914 63114 16630 487450 
 2-82020 14594 85640 23664 65718 97680 09240 24475 29556 41077 27411 001763 
 2-82801 50642 23976 84647 61709 94824 66587 84392 73852 95699 07219 527629 
 2-83058 86686 85144 31600 60170 60287 15791 96987 21869 42085 75219 422835 
 2-83442 07036 81532 56339 98239 41016 94314 12519 92074 22395 15101 356100 
 2-83947 80473 74198 40758 33677 24326 62643 33706 67025 71535 20888 200815 
 2-84571 80179 66658 65706 40223 37250 30440 16828 60606 06710 99378 642626 
 2-85064 62351 83066 54285 38844 79778 89914 12079 23464 57372 91344 715434 
 2-85672 88903 82882 60776 76506 51400 88113 55319 50785 66409 97910 273675 
 
 2-86153 44108 59037 83621 34642 48678 39613 39988 70242 96505 05660 709999 
 2-86510 39746 41127 94317 28131 02559 S677G 12051 12268 36141 01539 967269 
 2-86864 44383 94825 73669 35855 14263 03827 78685 62960 06015 93030 162646 
 2.87098 88137 60575 29242 26723 41223 78639 86402 35201 25826 22906 426196 
 2-87563 99370 04168 38974 59851 09251 08913 79777 69486 72300 09449 287788 
 
 2-87909 58795 00072 75709 02275 46289 28831 29598 55610 77568 18424 909661 
 2-88138 46567 70572 82636 87243 35559 42944 66262 26115 19329 16113 770466 
 2-88592 63398 01431 03960 42922 39990 68928 55438 24266 7^76 32539 540297 
 2-88817 94939 18324 90897 46881 27193 74602 82128 27448 51788 65363 250475 
 2-89697 47323 59064 55847 49105 93093 84403 00557 33235 30892 05759 509372 
 
 2-90145 83213 96112 34726 66008 27220 37150 60763 80048 04080 90214 871170 
 
 2-90794 85216 12272 30432 36285 45880 42151 46893 16537 70803 38111 022662 
 
 2-90902 08542 11156 03069 03308 48322 97484 96977 10258 36812 36616 489430 
 
 2-91434 31571 19440 77180 40593 41703 71406 12897 21030 05294 12843 731072 
 
 2-91539 98352 12269 83976 77077 56599 55165 61291 17431 03959 46095 528115 
 
 2-91750 55095 52546 67071 16671 84496 53756 13593 71081 63043 50219 579982 
 2-91855 45305 50273 55311 51367 88077 88199 00092 68851 27047 81176 310395 
 2-92376 19608 28700 27499 86012 26886 40032 82838 28125 42235 16955 539741 
 2-93094 90311 67523 02999 84110 76'276 53284 29746 89789 10727 91914 383868 
 2-93298 08219 23198 16429 25296 94730 29838 44651 50336 92985 47621 566946 
 2-93399 31638 31242 30262 85442 12269 31107 61700 39788 21370 78414 600987 
 2-93601 07957 15209 59266 36308 69754 18427 13577 12652 84446 77410 023962 
 2-94299 95933 66040 51822 80278 38057 14352 55114 87250 72879 32288 432978 
 2-94497 59084 12047 91274 23677 89471 82528 26645 36543 68702 11333 796990 
 2-94596 07035 77568 58561 59053 73327 89211 59413 79689 03497 15640 730610 
 2-94792 36198 31726 39219 65090 14904 07473 08873 98971 36988 60988 634764 
 2-95760 72870 60095 25584 72139 01553 62348 76134 78601 27524 63755 591947 
 2-96951 83769 72998 24763 28008 17777 19688 55416 00035 05336 77914 276734 
 2-96331 55113 86111 26519 69202 08586 23523 20678 28235 45128 04319 378878 
 2-96801 57139 93641 76318 47673 87869 08415 66826 51327 04702 61455 402056 
 
 2-97173 95908 87778 26302 75767 32122 15899 55792 61709 53802 51627 468099 
 2-97358 96234 27256 90834 22975 10551 79624 82320 81816 02762 59675 858750 
 2-97634 99790 03273 41875 01137 75925 22039 01622 95145 98964 60857 664310 
 2-97909 29006 38326 40853 29398 47717 31227 47302 58220 10598 20494 365710 
 2-98542 64740 83001 67369 77060 21186 62711 98227 26427 60112 13308 636787 
 2-98721 92299 08004 86280 31389 06536 25140 40631 99480 84889 06196 031834 
 2-98989 45637 18773 07091 48028 11052 34926 25914 08310 84838 41813 133125 
 2-99255 36178 32135 62274 96349 24741 43755 19748 99290 01915 16629 651606 
 2-99607 36544 85275 32836 44343 78815 42086 41325 12663 22812 08187 848418 
 2-99869 51583 11655 71988 13717 02813 27239 27091 29009 56252 34678 237114 
 
 3-00389 11662 36910 52171 62813 16509 55886 55201 95662 65260 09846 382385 
 3-00560 94453 60280 42845 01 61 7 20070 22165 08630 76662 06266 67962 268954 
 3-00817 41840 06426 39490 49899 22311 83296 76922 24936 36781 16642 425256 
 3-00902 57420 86910 24724 81480 36966 37851 03031 35315 99655 46437 518936 
 3-01325 86652 83516 54690 96644 09013 44583 24998 28006 59445 12546 301730 
 
 3-01410 03215 19620 67904 40100 62744 77060 74356 51400 55338 40683 272162 
 3-01661 55475 57177 41240 21010 01361 62768 71828 97066 20300 27455 651333 
 3-02077 54881 93567 85990 72007 63899 91741 19141 56191 40400 29271 212173 
 3-02160 27160 28242 22008 37688 89097 91687 94575 69660 00863 13290 071509 
 3-02571 53839 01340 66612 28844 73990 78263 18778 66167 69546 12209 837461 
 3-02653 32645 23296 ^5697 14741 94622 85093 72551 33664 50701 42150 299662 
 3-02897 77052 08778 01749 01456 70857 36936 27594 48925 00824 96999 029598 
 3-03622 95440 86294 53992 62573 76344 44115 71246 06239 23536 42216 494710 
 3-03782 47505 88341 87761 10634 29318 59826 96526 11482 20421 01725 763338 
 3-03862 01619 49702 79226 92555 27640 43892 49476 76830 67675 60087 010561 
 3-04020 66275 74711 13221 54832 40551 60744 80236 80562 48547 77531 009418 
 
 1009 
 1013 
 1019 
 1021 
 1031 
 
 1033 
 1039 
 1049 
 1051 
 1061 
 
 1063 
 1069 
 1087 
 1091 
 1093 
 1097 
 
OiOsoscics oocBoocxJOO ooooooc»J>. t^i^t^t--.i^ ir^r>.t^jr^i;o co^Vj^i;o cococnSio S 
 
 ioiotoioio ^»nioioio, "rtiOiOioi;:) m i^ in la ^ ifiioioicio 'Oioioij^o loioio^oio in 
 
 coooo ooooo ooooo ooooo ooooo ooooo ooooo o 
 
 Oi^^OCOCO OO^COCO^ yji^O^tOi^ tO^iyjCO^ "^lUJi^O^CO coi:£>^co<a toCniOtOtO ta 
 
 CN<NCNCS<N CS(NCS(N(N 'MC^C^CSCS <N<Ng^CS(N CNC^CSO<CM <MC^:^(NCN O^ <N CS CS c5 CS 
 
 ■* c i>« crs -< 
 
 CS CX3 rf CN >-< 
 
 CO CO '^ in'^ 
 O O -* 00 cs 
 
 CO so ic T^ rt 
 
 •rf — C5 !^ rf 
 
 CO CO <M (N <N 
 CO CO ^ Cd CO 
 00 00 00 00 00 
 
 00 CO o 
 
 o —< to 
 
 1^ 00 Oi 
 CO o ^ 
 CO CO CM 
 
 CO o 
 O CM 
 
 a CO 
 
 CO CO M •^ CO 
 lO ^ 00 CO m 
 CO IC CO CO o 
 
 r^ — ^ C7> Tf 
 
 O O CSl 00 00 
 
 i-o OS CM c; o 
 
 00 lO CO O 00 
 
 ooooo 
 
 CO CO O CO lO 
 00 00 00 CO 00 
 
 00 o 
 
 CM •* 
 
 00 CN 
 
 *>. *^ 
 
 't 00 
 lO CM 
 
 00 oo 
 
 CO CO 05 
 C) CM CO 
 CO C5 — 1 
 CO O "5 
 CO CO iO 
 
 CM CO O 
 O t^ 1/3 
 
 c;s 00 00 
 
 lO lO iC 
 
 00 00 00 
 
 CO CVI CN 
 Cv) OO CO 
 
 ■* CO Oi 
 
 C5 CO t^ 
 
 r}< Tt CO 
 
 00 CO 
 
 CM "3 
 
 01 CO 
 
 CO cs 
 
 "5l< 00 CM CO O 
 CI 05 t^ - 
 
 00 t^ *^ 
 
 lO lO lO 
 00 CO 00 
 
 00 oo 
 
 0> CO CO 
 
 rr CO Oi 
 
 00 rH Tt 
 
 o «o Ol 
 
 (N r-. O 
 
 t 00 CM 
 OS CO rt< 
 CO CO CO 
 
 io io lo 
 
 00 02 00 
 
 «o as 
 
 — CO 
 
 CO "O 
 
 lO •« 
 
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 CO CO 
 
 .30 00 
 
 CO lO rf CO 00 
 CO O 00 t^ 1^ 
 
 iJ^ O^ CM CO O 
 Ol CO — < lO o 
 C5 00 00 t>. t^ 
 
 CO t^ — in 05 
 
 CO CO '-> 00 lO 
 
 lO lO lO ^ Tf 
 
 I/O lO lO iO o 
 
 00 00 00 00 00 
 
 CO »>. 
 
 CO o 
 
 i0^«rj<0 0'-<"50Ni Tt<-HQ0iO— lOt-Nt^OOi Ci-.Oil>.a3 CO^>i— "OiOi -^iOOt^'l' r-iOOTti 
 
 t^lOt^CMO ClOOCOCOCO CO — Ci-HiO CiCOCO»>iT}< OOmCOOiO <— COOO*-^ OCOCO»>.0 COT"*! 
 
 ooi-o — ^^c^1 irscoo-HO oo-i^oico-* co — coOiO oo'^i^ooio 0'-<Oioco ociOt^— Oioco 
 
 — iniCOCM O5CMCM^>.a0 •*t>.i«00 COOO»nOpOO CMCOCi — Oi eOCMt^t^CO lOC^CO^tOi C^fiO 
 
 COCSCOOOCO OOiOCMOit^COiOlOCOt^. OOOCOtOO -OOlOOJOO CO'^CC^ — — < '-iCMC0"5t>. O'S'OO 
 
 osco^Oeo — cot>icoco ioo>^oo-h ocoi^.rfoo r>.co'*c^iJO 
 
 COCMO-"-^ OOOOiCOOS OOO'*©© CMCOCOCOm ooooo — co 
 
 oi--T>cocoo oomcocMO cioioooooo oDooc:io— eo'^cocj-^ 
 
 C5C-1COO'^ *>, — lOOseO COO'SfOOC^ COOrrCSCO t^—iiQCT)'* 
 
 CO00O5— 'CM C0"?COt>i05 OCSeOr}-^ t^OJO"— iCO '*'COt>.00O 
 
 lO — CO'—i-O lO— <CO — lO COCM-^ 
 
 TfiQQO'^ci cot>.coCMco J>.Tr^:) 
 
 rrt^O-^OO CMCO— iCO— C00100 
 
 OOCMi^ — »0 OfCiCOCO CMt>.— 
 
 i-ico^cotv. C750 — eo"^ cot->.ai 
 
 — '^t-^-HTf l>.OCOCOCi eOCOOJCMlO 00>-ii-O00— -ttt^-OeOt^ OCOCOOjCM i^CiCMi^OO — rft>, 
 
 — CMrS'^CO »^G50 — CM "^lOCOOOC:! OCMC0rJ<CO t^OOO — CM T}<ioCOt^a5 O — COTfiO ^^^G0O 
 
 oo^aoj^co -nrfiTfieocM — ocncot^ t-,coiOTf<ro cm — '-OCi oot^coLO"* -^coc^ — o Cioot^ 
 
 — oooo OOOOO oooicsCi cricsoicrsoj ciciocr- oo cooooooooo coooocoooo t^wt>, 
 cococococo coco^-Jcoco eo,co cmo»cm cmcmcmcmcm cicmcmcmcm cmcmcmcmcm cmc^cmcmcm cmcmcm 
 
 CMcooiio-!t oosCMio-^ '1'oooocooo co)nciM^>• a •— "X) rf '■^ coociiO"* oiTfcociOo c^coeooo 
 
 l^Otv.l>.CO Ol— <C0C0O O— ' — t^co CO'^t^.'tO Tf'I'iOJr^CO CiiOffi)'- it^ "* — Ttiooo mir>.coCi 
 
 COrprfoOiO iOt>. — t^iO '^•^i-OCOOO OCMCO"^'* CMOi'*t-<.00 COCM'^'^Oi — 'CICM — TP COCO-^iO 
 
 OlCOOSOeO 05— •O'^iO CMIO-^OjO oo — O'O CO eO'O^OCOO tCOCO^rP CSOOrJij.-j— COOCO — 
 
 COCOOOOOt^ ■^^COCJ-* CM — C5 1C— •^t^OOt^LO CM*^ — CO"^ "^C-JCifOO O — — C;^ rHiOt^OO 
 
 CO O m tv. lO O CM 
 
 Ci CO — LQ oo O O 
 
 CO -^ CO CM CM •^ CO 
 
 O CM "5r CO 00 O CM 
 
 O t^ Tf — 00 CO CO 
 
 Ol 
 
 Tj< CM t^ C5 00 
 
 -f t^ CO CM CO 
 
 CO C-5 CO t^ lO 
 
 Cj O 00 c-; lO 
 
 rf Oi CM — Jv. 
 
 O O CO o o 
 
 00 CJ 
 
 
 30 t^ rr O i-O 
 
 0> — CM CS O 
 
 J^ CO b^ O CM 
 
 !M CI Oi CO — 
 
 lo »>. C5 cr. t^ 
 
 ^ — O Oi — 
 
 
 
 Oi 05 O CS ^ 
 
 !>. CM t^ CO O 
 
 1^ CO m CO b» 
 
 05 CM lO O CO 
 
 CM 0> 1^ CO CO 
 
 t^ C5 — ^ Ci 
 
 ^ o 
 
 
 O 00 00 t^ CD 
 
 m "5 "* "^ ^ 
 
 
 CO "* rf lO lO 
 
 CO CO w 00 cm 
 
 O — CO ■<* lo 
 
 *^ OS 
 
 
 Tj< — 00 tf3 CM 
 
 05 CO CO O t^ 
 
 "* -1 00 lO CM 
 
 C5 CO CO o t>. 
 
 tt — 00 iO CM 
 
 O In. -^ — 00 
 
 lO c^ 
 
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 CO CM tx CO 05 
 
 ■^ O CO !M »^ 
 
 CO C5 rt O O 
 
 — »^ ~5 05 •* 
 
 O CO — t>. CO 
 
 C5 rf OCO - 
 
 ts. CO 
 
 iO 
 
 — 00 rj< — t^ 
 
 r}< — b, ^ O 
 
 b«i CO O 1-^ CO 
 
 O CO CO Ol CO 
 
 CO OJ CO CM 05 
 
 lO CM 05 iO CM 
 
 00 lO 
 
 C5 
 
 O O CO Ol t^ 
 
 CO Ci rf. OCO 
 
 
 O lO -CO CM 
 
 
 CO CM 1^ CO 05 
 
 -rf O 
 
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 CM CM — — O 
 
 O 05 05 CTi 00 
 
 00 t^ t>. CO CO 
 
 CO »0 lO rf •* 
 
 CO C^O C^l CM C^ 
 
 — — O O 05 
 
 a* Ci 
 
 O 
 
 OOOOO 
 
 <z> cfi a> a Oi 
 
 O Oi 05 0> Oi 
 
 o> cm oi 05 a> 
 
 05 c:> Oi Oi cj 
 
 C^ Ci C3 Ol 00 
 
 00 00 
 
 05^*0 CO — b^ CO 
 
 — 00 i-O — CO Tt — 
 
 CO — t>. CO 00 ■* o 
 
 00 00 J>. t^ CO CD CO 
 
 CO 00 00 00 00 00 CO 
 
 CO cococococo COCSCMCMCM CMCMCMCMCM CMCMCMCMCM CMOICMO^CM CMC'ICMCMCM «NCMCMCMCM C^ICMCMCM 
 
 -* Tf rt ■<* TT "^ "^rf rt<^ TfirfTt'^Tf T}<1<>if"^^ T;t<Tj''*'<*''t Tj^rJ'Tji'rf^ ^TfrJ^Tfti "^rf-rfrj' 
 
 rococococo cococococo cococococo cococococo cococococo cococococo cococococo COCOCOCO 
 
 'gj' •^^'ff-^Tt Tj^rf-^TfTt -rj* rf ^ Tf ^ ryi'^-^'frr rfrt-^rfrj^ TfTt'^rfTf T'^'^Trrr Tf-n'^'» 
 
 iOiiOT*iOCl i/3 0>b>i — CO meo^CMOo i^ot>.aoo 
 
 — 000"rt<iOOO — CO — COiOMJ>.COCOOOO — — O _ . ___-. ._ . ____ . 
 
 t^Ci'OrtO iCiCOOt^m COVOCOOCM t^00"*'^O COOOOCO— OCM>OCM'* 00 — — — — 0>-0 — 00 — 
 
 05 — 00t>»Ci rfiCOWC^O COOOl^iOtVi COCOCO^O — 000^0510 CM005CO— OOCOCOOOCO CMCMC505 — 
 
 i.O-«tCMCDCm — t^TC5CO — Os^OOjCO OSOiCOOOO CMCO — — O COrfCMiOrf -^fiOCMCO— 0-3 — — co^ 
 
 i-OOiCMO'^ OOt-^COCDCO COCOCMCOCO tN.0000OO — 0000«l<O} ■^TfOCMlft t>»O'Cie000 t^05CO"3CO 
 
 05 00 CO c^ 05 
 
 !-0 00 O CM ^ 
 
 10 — — Oi t>. 
 
 — CM CM t>» 10 
 Tt- r^ O (N M 
 
 CM 05 in — CO 
 
 CD in Ttt 05 CM 
 
 -" CM — CM O 
 
 — Tt" O — 00 
 
 — — p^ lO (M 
 
 J^ O — CO CM 
 
 CO j>. in CO CO 
 05 CO t^ t^ CO 
 CO in •* CM CO 
 
 i-H ^ ^ 05 CO 
 
 ^ O ^ Cl "^ 
 
 O — CO — rt< 
 
 Tf rp m CO o 
 
 — Tt CO — rj. 
 
 o» o in in 00 
 
 05000CO t^ — 0^01 
 
 OCC5COOOO ocoooco 
 
 — '-noosco t^t^inm — 
 eocoeot^in ocico-h — 
 (^■^inoeo mcooooo— < 
 
 OOCMCO — in CO'+CM — >- 
 
 O'^'^t^m cot^t>.05«^ 
 
 o-^mo^ oot^t^co^ 
 
 t^rfOsinCM — CMCOinCO 
 
 cot^ — com O}00CMin«n 
 
 OOCOCOOO— ' CMCM — CMt>. 
 
 oosmooco coini>.oi'^ 
 
 oococo — •* ooo3int^-t 
 
 — b>.C5C7505 OOOt^OiC5 
 t>.00t>.Tl<O5 "*— 'l^COCM 
 
 CD t^ CM 
 
 in CO o 
 CO — oc 
 t^ in^o 
 t^ t^ — 
 
 00 o 
 00 00 
 
 o in 
 in in 
 
 CM t^ C CO t-- 
 
 CO CO O CO 00 
 
 CO o — CM in 
 
 — CO 05 CO 05 
 
 in 05 rf CO CO 
 
 '-f — C! in 00 
 
 CM CO "* CO CO 
 CO CM CO "* -^ 
 rt< in CO ^ 05 
 
 tp CM CO o in 
 
 -H l-H ^ O CO 
 
 C5 00 00 o in 
 05 05 CO 05 CO 
 
 05 — •* CO — 
 
 *^ *>. i> CM in 
 
 «* — O CO 't 
 CO CO CO 00 CO 
 ^ rfi CM O CM 
 
 CO r^ CO o -f 
 
 — ■<*" CO o f-i 
 
 CD eO — * 00 CM 
 CO *>. C-1 t^ Ci 
 
 CO CO ^ 05 o 
 m in — 1^ Tti 
 
 *^ l-H t^ O O 
 
 O — t^OO ino<0"<toi inci'^CM't cococ^co^ i^ — -^ooco 
 
 t^-ocMTfo T}<C0CMJ^05 o»in^C5C5 omosoco Oiin — coco 
 
 ^^CO — O — t^i^CMCO C000C0-^"O — OiCOOOj CO in 00 M CO 
 
 C0005050 t-«.05C0CM'^ 00*^.1^005 — COt^ — t>. inOOCD — — 
 
 I— mocoo OCMcot^-t — ICO'* — "* coco — CMoo m-'tin'^co 
 
 CMCMQo'ooo cocMCOcooi ^>— iinincM oiinin^'^ti i-iTpmcM^ 
 
 005O000 — oicoeoo5 co^corpoo inCMOococM — oomcorp 
 
 CMOO — mo CD"— CO-^O COCM»>.t^'* OOOOlOCO b>it^COO0 — 
 
 — 05in — o C0O5CO — ri< ococoo'* m — C500'i< — — 000500 
 
 CM0CC005O — 05^C0t>. CMC00505C^ — OOCMt>.00 inCMOSCiCO 
 
 00 — O5t^o ■^eooocoin .-loocMt^co oocmcd"*— 000000 — 
 
 ^^^10 O OOOCOCMCM inCMt>.0^ 05CM — OOCM t^COCOOit^ 
 
 cmosOiCo coincorfoo t^oooscM'*' oooooi— co ooomoo-n 
 
 inrpt^coo — incocoi^ — moo'tCM 03 — meoco '* — cicoco 
 
 i-hT— coo ^"^CM'tOO eO-^Ol— t>. t^r-iTtiOim OOCMC005CM 
 
 — inoeoo oi^coino int>.CM^05 '-^t^— <coco m to in a t>^ 
 
 rfCMincOO l--.C5'1>CMJ>. 0OCOCMO5CO OOOOO'^O OiC^mfCN 
 
 — incMOO O — l^osm t^03t>*cooo mmoi^o incMCo*>»rti 
 int>.CMCoo i>.ooi>.in'^ mco'^'co- •^cocmcoo cioo — mcM 
 
 TtmCO — O t>.CM^COt^ *^— <«•<**>. (NOCOCO-^ '^pt^TfOO — 
 
 CO — CO «* o 
 CO •* CM CM O 
 
 1^ — — ^ o 
 in 00 00 CO o 
 
 05 i-< ^ ^ O 
 
 cocomt^o t^int^cMO 
 
 I^COtNOCB in*^C500O 
 
 C005C0(NO «Dt^-*00 
 
 — CO — — in 00 — ooi>.o 
 
 oocoo<.nCM eooocoooo 
 
 in 00 CM — CO 
 t in CO o 
 CO o ^ 05 00 
 
 «5 C5 Ol CM CO 
 
 in 00 »n CO -^ 
 
 - rP CM (N 
 
 - 00 CO Tl" 
 
 H o — eo 
 05 crs 00 CO CO 
 
 ^ — CO CM 00 
 CM 05 'I 05 CM 
 
 in CO in 05 — 
 
 ^ C35 O CD 05 
 CD 00 — CM CO 
 CM CS CO CO CO 
 
 CO CO 05 CM in 
 
 00 CM CO — in 
 
 ■ 00 — in 00 
 
 — CO o •* 
 
 CM CM CO CO 
 
 O5 05 03 05 03 
 C5 05 Oi 05 03 
 
 05 05 05 C5 Oi 
 
 05 05 05 Oi 05 
 05 03 05 Ci 03 
 in in in in in 
 
 O— 'OCOOO OS-'teO-HOO C0CM00b»O 
 
 t^05 — "*»^ *^Q0OCM05 cocowmo 
 
 coooco^N.-* csffoooooci 00O3 — mo 
 
 003 — — CD —"^OSTpCO '^CM'^TfO 
 
 03com — o CM-^mmi-i CMt^^fcso 
 
 f^ 00 CO CO CM 
 
 CO 05 CS CO 00 
 eo 00 — o CO 
 Tp m "* Tp 00 
 CO o ■^ 05 o 
 
 e^ CO 05 m CO 
 
 Tj< CO '^ O C5 
 
 05 00 00 Tf — 
 
 CO 05 CM CM CM 
 >* t^CO 
 
 t^ CO 00 
 
 o m 05 
 
 rf CD m 
 
 CO 05 m 
 m t^ m 
 
 m CO 
 o 00 
 o 00 
 i^ o 
 
 — ' 00 O "^ 03 
 in m CM CO CO 
 
 C3 00 00 "* 1' 
 
 05 eo o^ ^ CO 
 i-( 00 — m CO 
 
 CO eo 00 m --^ 
 
 *^ 05 03 CO !>. 
 
 — < m C5 CM f 
 
 O 00 CO t>. CO 
 CO CO — ^ 03 
 
 CO 05 o 05 •^ 
 
 C33 00 ■^ CO m 
 
 CO CO CO — m 
 
 t>i CM 00 CM 00 
 
 m o CM CM CO 
 
 CO CO m — C3 
 
 00 t^ rf 00 t^ 
 
 03 00 00 t^ 01 
 eo CO 00 '* 03 
 
 — ■ O — ^ CO 
 
 05 00 CO C5 C^ 
 C3 rf 03 tN. O 
 — CM l^ CO 03 
 
 CM t>i CO eo eo 
 
 m 05 CM CO O 
 
 03 00 CO CO CO 
 CM t>. 05 CO '* 
 
 m CO m 00 C5 
 CO CM — m o 
 o CO 00 05 cm 
 
 O m CM 05 CM 
 
 O 03 — CO CO 
 
 00 m 00 m 00 
 
 C3 m o m 03 
 
 O O t^ O o 
 
 00 p-; rt< i>. o 
 C3 '^ 00 CM i^ 
 — m 00 CM m 
 
 03 CO t^ CM CO 
 
 eo t rf m m 
 
 03 05 C3 03 03 
 
 05 05 03 03 05 
 
 c:5 C5 O! C3 05 
 
 C3 03 O3 03 03 
 03 03 O3 03 03 
 
 in m i-o m m 
 
 00 rfi 1^ •?}< CM 
 CO t *>. m CO 
 00 CO CM 00 >l< 
 CO iv. — ^ 00 
 
 00 CM ^ CM *^ 
 
 eo t^ CO — — 
 
 t^ "* 00 03 CO 
 O CM 05 CM — 
 CM O J^ m CM 
 
 CO CO CM CM CM 
 
 eo CO 03 CM m 
 -^ in 03 Tp 00 
 
 C3 CM m 03 CM 
 
 O m 03 ^o 00 
 
 CO CD CO t^ N. 
 
 C3 05 C5 03 C5 
 05 C3 05 05 03 
 C3 03 03 05 O5 
 C3 C3 03 Oi 03 
 03 03 03 03 03 
 
 ih >hi ih ih -h 
 
 t^ CO t^ CD O 
 
 00 — CO CO O 
 
 — — CO 03 O 
 
 CM CO O rf O 
 O 03 CO 05 O 
 
 00 05 1^ o o 
 
 05 O; CO O O 
 m m — CO o 
 00 T* o m o 
 
 00 — -* i^ O 
 ©:» tN. — m o 
 
 CO C3 CO CD O 
 
 CM CO — m o 
 00 00 Ci 03 o 
 
 05 05 05 C5 O 
 
 05 C3 03 03 O 
 
 03 C73 03 03 O 
 
 05 05 05 C3 O 
 
 OS C3* 03 C3 O 
 
 ic ifs m m CO 
 
 m0503 — eo O — — 0000 O5t^O3CMC0 
 
 — co'^'Tfco — cot^CM— CM^mm — 
 
 cocooococo ot^coooeo CMCococooo 
 
 m — oocom mmt-,om — aoj>^ooo 
 
 t^CMCOCMOD — — OOCO-^ coco- — 03 
 
 •Tf m C3 o o 
 
 t~» *^ 00 "* C3 
 
 CO (^ o m 00 
 
 CM "q" *^ 00 C3 
 
 CO i-H 00 Ci CO 
 
 00 — CM CO t^ 
 ■* 03 O CO 00 
 CO CM 05 05 CO 
 03 CO CO CO ■<* 
 
 — 1 m 00 CO CO 
 
 "* CO M CO m 
 CO 00 CO 03 03 
 "* t^ Tp 00 f 
 CM --: CO crs — 
 m CD — oc tN. 
 
 C5 CO CM CM m 
 CM 00 1-, b, t^ 
 
 — CO CO O CD 
 
 m — 03 o CM 
 CO m 00 o CO 
 
 »* in — CO O 
 
 CD 05 C73 m 00 
 CI O Tf Tt 03 
 rt CO I— Tp CO 
 0> 00 00 t^ CO 
 
 CM m 00 — -^ 
 
 Tt< 00 CM t^ — 
 
 CO CO o eo r^ 
 "it 00 CO Is. — 
 O O — — CM 
 
 ooooo 
 
 OOOOO 
 
 ooooo 
 ooooo 
 90000 
 
 CO CO CO CO CO 
 
 Tf eo t>i 00 ^ 
 t>. CO m rp o 
 O t>. 03 i^ — I 
 
 C3 O — CM CO 
 
 m m rt" eo CM 
 
 t^ O CO CO 03 
 m o "I" 00 CM 
 O "Jti »^ o f 
 CO o "<* 05 CO 
 CM CO CO eo "^ 
 
 CD CO t^ CO O 
 CM — CO 00 i^ 
 
 o m m — CO 
 eo CM — o 00 
 — O 03 00 CO 
 
 CM m t^ O eo 
 tx — m o Tf 
 
 1^ — ^ 00 — 
 
 ts CM CO o m 
 ^ m m CO CO 
 
 — J>« C3 
 CM CO — 
 
 — •T' CO 
 CO CO o 
 
 m Tti CO 
 
 CO 00 
 
 rs i^ 
 
 CO CM 
 
 — o 
 
 >n 00 
 
 — m 
 m 00 
 
 CM Co 
 00 00 
 
 000 
 000 
 000 
 000 
 
 9 9 9 
 
 CD CO CO 
 
 o o 
 o o 
 o o 
 
 o o 
 o o 
 
 CO CO 
 
 ooooo 
 ooooo 
 ooooo 
 ooooo 
 ooooo 
 cbcococbcb cococococo 
 
 000 
 
 000 
 000 
 000 
 000 
 
 o o 
 o o 
 o o 
 o o 
 o o 
 
 — CM CO rf m 
 
 00 00 00 00 00 
 
 03 03 05 05 ov 
 
 C> 03 C5 03 C5 
 
 CO i^ 00 03 o 
 00 00 00 00 03 
 
 C3 C3 03 03 03 
 C3 03 O3 05 C3 
 
 — CM CO ■* m 
 
 C3 C3 03 05 05 
 
 crs 03 03 03 03 
 
 C3 03 03 03 05 
 
 CO ts 00 05 O 
 
 C3 03 C3 03 O 
 
 C3 03 C3 C3 O 
 
 03 CJ5 03 03 O 
 
 — CM CO "* m 
 
 ooooo 
 ooooo 
 ooooo 
 
 CO t>. 00 
 
 000 
 000 
 000 
 
 030 — CMCO'^m C0fs00030 
 
 00 ooooo ooooo 
 00 ooooo ooooo 
 
208 HYPERBOLIC LOGARITHMS. Tab. 7. 
 
 N. 
 
 1-01 
 
 I.ogar. 
 
 N. 
 
 1-51 
 
 Logar. 
 
 N. 
 
 2-01 
 
 Logar. 
 
 N. 
 
 2-51 
 
 Logar. 
 
 0-0099.503 
 
 0-4121097 
 
 0-6981347 
 
 0-9202828 
 
 1-02 
 
 0-0198026 
 
 1-52 
 
 0-4187103 
 
 2-02 
 
 0-7030973 
 
 2-52 
 
 0-9242589 
 
 1-03 
 
 0-0295388 
 
 1-53 
 
 0-4252677 
 
 2-03 
 
 0-7080358 
 
 2-53 
 
 0-9282193 
 
 1-04 
 
 0-0392207 
 
 1-54 
 
 0-4317824 
 
 2-04 
 
 0-7129498 
 
 2-54 
 
 0-9321641 
 
 1-03 
 
 0*0487902 
 
 1-53 
 
 0-4382549 
 
 2-05 
 
 0-7178398 
 
 2-55 
 
 0-9360934 
 
 1-06 
 
 0-0382689 
 
 1-36 
 
 0-4446858 
 
 2-06 
 
 0-7227060 
 
 2-56 
 
 0-9400073 
 
 1-07 
 
 0-0676586 
 
 1-57 
 
 0-4510736 
 
 2-07 
 
 0-7275486 
 
 2-57 
 
 0-9439059 
 
 1-08 
 
 0-0769610 
 
 1-58 
 
 0-4574248 
 
 2-08 
 
 0-7323679 
 
 2-58 
 
 0-9477894 
 
 1-09 
 
 0-0861777 
 
 1-39 
 
 0-4637340 
 
 2-09 
 
 0-7371641 
 
 2-59 
 
 0-9516579 
 
 1-10 
 
 0-0933102 
 
 1-60 
 
 0-4700036 
 
 2-10 
 
 0-7419373 
 
 2-60 
 
 0-9555114 
 
 Ml 
 
 0-1043600 
 
 1-61 
 
 0-4762342 
 
 2-11 
 
 0-7466879 
 
 2-61 
 
 0-9593502 
 
 1-12 
 
 0-1133287 
 
 1-62 
 
 0-4824261 
 
 2-12 
 
 0-7514161 
 
 2-62 
 
 0-9631743 
 
 M3 
 
 0-1222176 
 
 1-63 
 
 0-4885800 
 
 2-13 
 
 0-7561220 
 
 2-63 
 
 0-9669838 
 
 M4 
 
 0-1310283 
 
 1-64 
 
 0-4946962 
 
 2-14 
 
 0'7 608058 
 
 2-64 
 
 0-9707789 
 
 M5 
 
 0-1397619 
 
 1-65 
 
 0-5007753 
 
 2-15 
 
 0-7654678 
 
 2-65 
 
 0-9745596 
 
 M6 
 
 0-1484200 
 
 1-66 
 
 0-5068176 
 
 2-16 
 
 0-7701082 
 
 2-68 
 
 0-9783261 
 
 1-17 
 
 0-1370037 
 
 1-67 
 
 0-3128236 
 
 2-17 
 
 0-7747272 
 
 2-67 
 
 0-9820785 
 
 1-18 
 
 0-1635144 
 
 1-68 
 
 0-5187938 
 
 2-18 
 
 0-7793249 
 
 2-68 
 
 0-9858168 
 
 M9 
 
 01739533 
 
 1-69 
 
 0-5247285 
 
 2-19 
 
 0-7839015 
 
 2-69 
 
 0-9895412 
 
 1-20 
 
 0-1823216 
 
 1-70 
 
 0-5306283 
 
 2-20 
 
 0-7884574 
 
 2-70 
 
 0-9932518 
 
 1-21 
 
 0-1906204 
 
 1-71 
 
 0-5364934' 
 
 2-21 
 
 0-7929925 
 
 2-71 
 
 0-9969486 
 
 1-22 
 
 0-1988509 
 
 1-72 
 
 0-5423243 
 
 2-22 
 
 0-7975072 
 
 2-72 
 
 1-0006319 
 
 1-23 
 
 0-2070142 
 
 1-73 
 
 05481214 
 
 2-23 
 
 0-8020016 
 
 2-73 
 
 1-0043016 
 
 1-24 
 
 0-2151114 
 
 1-74 
 
 0-5538851 
 
 2-24 
 
 0-8064759 
 
 2-74 
 
 1-0079579 
 
 1-25 
 
 0-2231436 
 
 1-75 
 
 0-5596158 
 
 2-25 
 
 0-8109302 
 
 2-75 
 
 1-0116009 
 
 1-26 
 
 0-2311117 
 
 1-76 
 
 0-5653138 
 
 2-26 
 
 0-8153648 
 
 2-76 
 
 1-0152307 
 
 1-27 
 
 0-2390169 
 
 1-77 
 
 0-5709795 
 
 2-27 
 
 0-8197798 
 
 2-77 
 
 1-0188473 
 
 1-28 
 
 0-2468601 
 
 1-78 
 
 0-5766134 
 
 2-28 
 
 0-8241754 
 
 2-78 
 
 1-0224509 
 
 1-29 
 
 0-2546422 
 
 1-79 
 
 0-5822156 
 
 2-29 
 
 0-8285518 
 
 2-79 
 
 1-0260416 
 
 1-30 
 
 0-2623643 
 
 1-80 
 
 0-5877867 
 
 2-30 
 
 0-8329091 
 
 2-80 
 
 1-0296194 
 
 1-31 
 
 0-2700271 
 
 1-81 
 
 0-5933268 
 
 2-3 1- 
 
 0-8372475 
 
 2-81 
 
 1-0331845 
 
 1-32 
 
 0-2776317 
 
 1-82 
 
 0-5988365 
 
 2-32 
 
 0-8415672 
 
 2-82 
 
 1-0367369 
 
 1-33 
 
 0-2851789 
 
 1-83 
 
 0-6043160 
 
 2-33 
 
 0-8458683 
 
 2-83 
 
 1-0402767 
 
 1-34 
 
 0-2926696 
 
 1-84 
 
 0-6097656 
 
 2-34 
 
 0-8501509 
 
 2-84 
 
 1-0438041 
 
 1-35 
 
 0-3001046 
 
 1-85 
 
 0-6131836 
 
 2-35 
 
 0.8544153 
 
 2-85 
 
 1-0473190 
 
 1-36 
 
 0-3074847 
 
 1-86 
 
 0-6205765 
 
 2-36 
 
 0-8586616 
 
 2-86 
 
 1-0508217 
 
 1-37 
 
 0-3148107 
 
 1-87 
 
 0-6259384 
 
 2-37 
 
 0-8628899 
 
 2-87 
 
 1-0343121 
 
 1-38 
 
 0-3220835 
 
 1-88 
 
 0-6312718 
 
 2-38 
 
 0-8671005 
 
 2-88 
 
 1-0377903 
 
 1-39 
 
 0-3293037 
 
 1-89 
 
 0-6365768 
 
 2-39 
 
 0-8712933 
 
 2-89 
 
 1-0612365 
 
 1-40 
 
 0-3364722 
 
 1-90 
 
 0-6418539 
 
 2-40 
 
 0-8754687 
 
 2-90 
 
 1-0647107 
 
 1-41 
 
 0-3435897 
 
 1-91 
 
 0-6471032 
 
 2-41 
 
 0-8796267 
 
 2-91 
 
 1-0681531 
 
 1-42 
 
 0-3506569 
 
 1-92 
 
 ;;-6523252 
 
 2-42 
 
 08837675 
 
 2-92 
 
 1-0715836 
 
 1*43 
 
 0-3576745 
 
 1-93 
 
 0-6575200 
 
 2-43 
 
 0-8878913 
 
 2-93 
 
 1-0750024 
 
 1-44 
 
 0-3646431 
 
 1-94 
 
 0-6626880 
 
 2-44 
 
 0-8919980 
 
 2-94 
 
 1-0784096 
 
 1-45 
 
 0-3715636 
 
 1-95 
 
 0-6678294 
 
 2-43 
 
 0-8960880 
 
 2-95 
 
 1.0818052 
 
 1-46 
 
 0-3784364 
 
 1-96 
 
 0-6729445 
 
 2-46 
 
 0-9001613 
 
 2-96 
 
 1-0851893 
 
 1-47 
 
 0-3852624 
 
 1-97 
 
 0-6780335 
 
 2-47 
 
 0-9042182 
 
 2-97 
 
 1-0885619 
 
 1-48 
 
 0-3920421 
 
 1-98 
 
 0-6830968 
 
 2-48 
 
 0-9082586 
 
 2-98 
 
 1-0919233 
 
 1-49 
 
 0-3987761 
 
 1-99 
 
 0-6881346 
 
 2-49 
 
 0-9122827 
 
 2-99 
 
 1-0952734 
 
 1-50 
 
 0-4054651 
 
 2-00 
 
 0-6931472 
 
 2-30 
 
 0-9162907 
 
 3-00 
 
 1-0986123 
 
Tab. 7. HYPKRBOLIC LOGARITHMS. (209) 
 
 N. 
 
 3-01 
 
 Logar. 
 
 N. 
 
 3-51 
 
 Logar. 
 
 N. 
 
 4-01 
 
 Logar. 
 
 N. 
 
 4-51 
 
 Logar. 
 
 1-1019401 
 
 1-2556160 
 
 1-3887912 
 
 1-5062971 
 
 3-02 
 
 1-1052568 
 
 3-52 
 
 1-2584610 
 
 4-02 
 
 1-3912819 
 
 452 
 
 1-5085120 
 
 3-03 
 
 1-1085626 
 
 3-53 
 
 1-2612979 
 
 4-03 
 
 1-3937664 
 
 4-53 
 
 1-5107219 
 
 3-04 
 
 Ml 18575 
 
 3-54 
 
 1-2641267 
 
 4-04 
 
 1-3962447 
 
 4-54 
 
 1-5129270 
 
 3-05 
 
 M15'1416 
 
 3-55 
 
 1-2669476 
 
 4-05 
 
 1-3987169 
 
 4-55 
 
 1-5151272 
 
 3-06 
 
 1-1184149 
 
 3-56 
 
 1-2697605 
 
 4-06 
 
 1 '40 11829 
 
 4-56 
 
 1-5173226 
 
 3-07 
 
 1-1216776 
 
 3-57 
 
 1-2725656 
 
 4-07 
 
 1-4036429 
 
 4-57 
 
 1-5195132 
 
 3'08 
 
 1-1249296 
 
 3-58 
 
 1-2753628 
 
 4-08 
 
 1-4060970 
 
 4-58 
 
 1-5216990 
 
 3-09 
 
 1-1281711 
 
 3-59 
 
 1-2781522 
 
 4-09 
 
 1-4085450 
 
 4-59 
 
 1-5238800 
 
 3*10 
 
 1-1314021 
 
 3-60 
 
 1-2809338 
 
 4-10 
 
 1-4109870 
 
 4-60 
 
 1-5260563 
 
 3-11 
 
 1-1346227 
 
 3-6] 
 
 1-2837078 
 
 4-11 
 
 1-4134230 
 
 4-61 
 
 1-5282278 
 
 3'12 
 
 1-1378330 
 
 3-62 
 
 1-2864740 
 
 4-12 
 
 1-4158532 
 
 4-62 
 
 1-5303947 
 
 3-13 
 
 1-1410330 
 
 3-63 
 
 1-2892326 
 
 4-13 
 
 1-4182774 
 
 463 
 
 1-5325569 
 
 3-14 
 
 1-1442228 
 
 3-64 
 
 1-2919837 
 
 4-14 
 
 1-4206958 
 
 4-64 
 
 1-5347144 
 
 3-15 
 
 1-1474025 
 
 3-65 
 
 1-2947272 
 
 4-15 
 
 1-4231083 
 
 4-65 
 
 1-5368672 
 
 3-16 
 
 1-1505720 
 
 3-66 
 
 1 2974631 
 
 416 
 
 1-4255151 
 
 4-66 
 
 1-5390154 
 
 317 
 
 1-1537316 
 
 367 
 
 1-3001917 
 
 4-17 
 
 1-4279160 
 
 4-67 
 
 1-5411591 
 
 3-18 
 
 1-1568812 
 
 3-68 
 
 1-3029128 
 
 4-18 
 
 1-4303112 
 
 4-68 
 
 1-5432981 
 
 3-19 
 
 1-1600209 
 
 3-69 
 
 1-3056265 
 
 4-19 
 
 1-4327007 
 
 4-69 
 
 1-5454326 • 
 
 3-20 
 
 1-1631508 
 
 3-70 
 
 1-3083328 
 
 4-20 
 
 1 -4350845 
 
 4-70 
 
 1-5475625, 
 
 3'21 
 
 1-1662709 
 
 3-71 
 
 1-3110319 
 
 4-21 
 
 1-4374626 
 
 4-7 1 
 
 1-5496879 
 
 3-22 
 
 1-1693814 
 
 3-72 
 
 1-3137237 
 
 4-22 
 
 1-4398351 
 
 4-72 
 
 1-5518088 
 
 3-23 
 
 M72482I 
 
 3-73 
 
 1.3164082 
 
 4-23 
 
 1-4422020 
 
 473 
 
 1-5539252 
 
 3-24 
 
 1 -1755733 
 
 3-74 
 
 1-3190856 
 
 4-24 
 
 1-4445633 
 
 4-74 
 
 1-5560371 
 
 3-25 
 
 1-1786550 
 
 3-75 
 
 1-3217558 
 
 4-25 
 
 1-4469190 
 
 4-75 
 
 1-5581446 
 
 3-26 
 
 1-1817272 
 
 3-76 
 
 1-3244190 
 
 4-26 
 
 1-4492692 
 
 4-76 
 
 1-5602476 
 
 3-27 
 
 1-1847900 
 
 3-77 
 
 1-3270750 
 
 4-27 
 
 1-4516138 
 
 4-77 
 
 1-5623463 
 
 3 28 
 
 1-1878434 
 
 3-78 
 
 1-3297240 
 
 4-28 
 
 1-4539530 
 
 4-78 
 
 1-5644405 
 
 3-29 
 
 1-1908876 
 
 3-79 
 
 1-3323660 
 
 4-29 
 
 1-4562868 
 
 4-79 
 
 1-5665303 
 
 3-30 
 
 1-1939225 
 
 3-80 
 
 1-3350011 
 
 4-30 
 
 1-4586150 
 
 4-80 
 
 1'5686159 
 
 3-31 
 
 1-1969482 
 
 3-81 
 
 1-3376292 
 
 4-31 
 
 1-4609379 
 
 4-81 
 
 1-5706971 
 
 3-32 
 
 1-1999648 
 
 3-82 
 
 1-3402504 
 
 4-32 
 
 1-4632554 
 
 4-82 
 
 1-5727739 
 
 3-33 
 
 1-2029723 
 
 3-83 
 
 1-3428648 
 
 4-33 
 
 1-4655675 
 
 4-83 
 
 1-5748465 
 
 3-34 
 
 1-2059708 
 
 3-84 
 
 1-3454724 
 
 4-34 
 
 1-4678743 
 
 4-84 
 
 1-5769147 
 
 3-35 
 
 1-2089603 
 
 3-85 
 
 1-3480731 
 
 435 
 
 1-4701758 
 
 4-85 
 
 1-5789787 
 
 3-36 
 
 1-2119410 
 
 3-86 
 
 1 3506672 
 
 4-36 
 
 1-4724721 
 
 486 
 
 1-5810384 
 
 3-37 
 
 1-2149127 
 
 3-87 
 
 1-3532545 
 
 4-37 
 
 1-4747630 
 
 4-87 
 
 1-5830939 
 
 3-38 
 
 1-2178757 
 
 3-88 
 
 1-3558352 
 
 4-38 
 
 1-4770487 
 
 4-88 
 
 1-5851452 
 
 3-39 
 
 1-2208299 
 
 3-89 
 
 1-3584092 
 
 4-39 
 
 1-4793292 
 
 4-89 
 
 1-5871923 
 
 3-40 
 
 1-2237754 
 
 3-90 
 
 1-3609766 
 
 4-40 
 
 1-4816045 
 
 4-90 
 
 1-5892352 
 
 3-41 
 
 1-2267123 
 
 3-91 
 
 1-3635374 
 
 4-41 
 
 1-4838747 
 
 4-91 
 
 1-5912739 
 
 3-42 
 
 1-2296406 
 
 3-92 
 
 1-3660917 
 
 4-42 
 
 1-4861397 
 
 4-92 
 
 1-5933085 
 
 3-43 
 
 1-2325603 
 
 3-93 
 
 1-3686394 
 
 4-43 
 
 1-4883996 
 
 4-93 
 
 1-5953390 
 
 3-44 
 
 1-2354715 
 
 3-94 
 
 1-3711807 
 
 4-44 
 
 1-4906544 
 
 4-94 
 
 1-5973653 
 
 3-45 
 
 1-2383742 
 
 3-95 
 
 1-3737156 
 
 4-45 
 
 1-4929041 
 
 4-95 
 
 1-5993876 
 
 3-46 
 
 1-2412686 
 
 3-96 
 
 1-3762440 
 
 4-46 
 
 1-4953488 
 
 4-96 
 
 1-6014057 
 
 3-47 
 
 1-2441546 
 
 3-97 
 
 1-3787661 
 
 4-47 
 
 1-4973884 
 
 4-97 
 
 1-6034198 
 
 3-48 
 
 1-2470323 
 
 3-98 
 
 1-3812818 
 
 4-48 
 
 1-4996230 
 
 4-98 
 
 1-6054299 
 
 3'49 
 
 1 2499017 
 
 3-99 
 
 1-3837912 
 
 4-49 
 
 1-5018527 
 
 4-99 
 
 1-6074359 
 
 3-50 
 
 1-2527630 
 
 4-00 
 
 1-3862944 
 
 4-50 
 
 1-5040774 
 
 5-00 
 
 1-6094379 
 
 5f ii 
 
(210) 
 
 HYPERBOLIC LOGARITHMS. 
 
 Tab. 7. 
 
 N. 
 
 5^ 
 5-02 
 5-03 
 5-04. 
 5-05 
 
 5-06 
 5-07 
 5-08 
 5-09 
 5-10 
 5'll 
 5-12 
 5-13 
 5-14 
 5-15 
 
 5-16 
 5-17 
 5-18 
 5-19 
 5-20 
 
 5-21 
 5-22 
 5-23 
 5-24 
 5-25 
 
 5-26 
 5-27 
 5-28 
 5-29 
 5-30 
 
 5-31 
 5-32 
 5-33 
 5-34. 
 5-35 
 
 5-36 
 5-37 
 .5-38 
 5-39 
 5-40 
 
 5-41 
 i5'42 
 5-43 
 5-44 
 5-45 
 5-46 
 5-47 
 5-48 
 5-49 
 5-50 
 
 Logar. 
 
 1-61 14359 
 1-6134299 
 1-6154200 
 1-6174061 
 1-6193883 
 
 1-6213665 
 1-6233408 
 1-6253113 
 1-6272778 
 1-6292405 
 
 1-6311994 
 1-6331544 
 1-6351057 
 1-6370531 
 1-6389967 
 
 •6409366 
 •6428727 
 •6448051 
 •6467337 
 ■6486586 
 
 •6505799 
 •6524974 
 •6544113 
 '6563215 
 •658228: 
 
 •6601310 
 •6620304 
 -6639261 
 •6658182 
 •6677068 
 
 -6695918 
 
 -6714733 
 
 •6733512 
 
 1-6752257 
 
 1-6770966 
 
 1-6789640 
 1-6808279 
 1-6826884 
 1-6845454 
 1-6863990 
 
 1-6882491 
 1-6900958 
 1-6919391 
 1-6937791 
 1-6956156 
 
 1-6974488 
 1-6992786 
 1-7011051 
 1-7029283 
 1-7047481 
 
 N. 
 
 5-51 
 
 Logar. 
 
 N. 
 
 6.01 
 
 1-7065646 
 
 5-52 
 
 1-7083779 
 
 6-02 
 
 5-53 
 
 1-7101878 
 
 6-03 
 
 5-54 
 
 1-7119945 
 
 6-04 
 
 5-55 
 
 1-7137979 
 
 6-05 
 
 5-56 
 
 1 •715598] 
 
 6-06 
 
 5-57 
 
 1-7173951 
 
 6-07 
 
 5-58 
 
 1-7191888 
 
 6-08 
 
 5-59 
 
 1-7209793 
 
 6-09 
 
 5-60 
 
 1-7227666 
 
 6-10 
 
 5-61 
 
 1-7245507 
 
 6-11 
 
 5-62 
 
 1-7263317 
 
 6-12 
 
 5-63 
 
 1-7281094 
 
 6-13 
 
 5-64 
 
 1-7298841 
 
 6-14 
 
 5-65 
 
 1-7316555 
 
 6*15 
 
 5-66 
 
 1-7334239 
 
 6-16 
 
 5-67 
 
 1-7351891 
 
 6-17 
 
 5-68 
 
 1-7369512 
 
 6-18 
 
 5-69 
 
 1-7387102 
 
 6-19 
 
 5-70 
 
 1-7404662 
 
 6-20 
 
 5-71 
 
 1-7422190 
 
 6-21 
 
 5-72 
 
 1-7439689 
 
 6-22 
 
 5-73 
 
 1-7457155 
 
 6-23 
 
 5-74 
 
 1-7474593 
 
 6-24 
 
 575 
 
 1-7491998 
 
 6-25 
 
 5-76 
 
 1-7509375 
 
 6-26 
 
 5-77 
 
 1-7526721 
 
 6-27 
 
 5-78 
 
 1-7544037 
 
 6-28 
 
 5-79 
 
 1-7561323 
 
 6-29 
 
 5-80 
 
 1-7578579 
 
 6-30 
 
 5-81 
 
 1-7595806 
 
 6-31 
 
 5-82 
 
 1-7613003 
 
 6-32 
 
 5-83 
 
 1-7630170 
 
 6-33 
 
 5-84 
 
 1-7647308 
 
 6-34 
 
 5-85 
 
 1-7664416 
 
 6-35 
 
 5-86 
 
 1-7681496 
 
 6-36 
 
 5-87 
 
 1-7698546 
 
 6-37 
 
 5-88 
 
 1-7715568 
 
 6-38 
 
 5-89 
 
 1-7732560 
 
 6-39 
 
 5-90 
 
 1-7749524 
 
 6-40 
 
 5-91 
 
 1-7766458 
 
 6-41 
 
 5-92 
 
 1-7783364 
 
 6-42 
 
 5-93 
 
 1-7800242 
 
 6-43 
 
 5-94 
 
 1-7817091 
 
 6-44 
 
 5-95 
 
 1-7833912 
 
 6-45 
 
 5-96 
 
 1-7850705 
 
 6-46 
 
 5 97 
 
 1-7867469 
 
 6-47 
 
 5-98 
 
 1-7884206 
 
 6'48 
 
 5-99 
 
 1-7900914 
 
 6-49 
 
 6-00 
 
 1-7917595 
 
 6-50 
 
 Logar. 
 
 N. 
 
 Log 
 
 1-7934247 
 1-7950873 
 1-7967470 
 1-7984040 
 1-8000583 
 
 1-8017098 
 1-8033586 
 1-8050047 
 1-8066481 
 1-8082888 
 
 1-8099268 
 1-8115621 
 1-8131947 
 1-8148247 
 i -8 164521 
 
 1-8180768 
 1-8196988 
 1-8213183 
 1-8229351 
 1-8245493 
 
 1-8261609 
 1-8277699 
 1-8293763 
 1-8309802 
 1-8325815 
 
 1 '8341 802 
 1-8357764 
 1-8373700 
 1-8389611 
 1-8405496 
 
 1-8421357 
 1 '8437 192 
 1-8453002 
 1-8468788 
 1-8484548 
 
 1-8500284 
 1-8515995 
 1-8531681 
 1-8547343 
 1-8562980 
 
 1-8578593 
 1-8594181 
 1-8609745 
 1-8625285 
 1-8640801 
 
 1-8656293 
 1-8671761 
 ,1*8687205 
 1-8702625 
 1 -87 1 8022 
 
 6-5 
 
 6-52 
 
 6-53 
 
 6-54 
 
 6-55 
 
 6-56 
 6-57 
 6-58 
 6-59 
 6-60 
 
 6-61 
 6-62 
 6-63 
 6-64 
 6-65 
 
 6-66 
 667 
 6-68 
 6-69 
 6-70 
 
 6-71 
 6-72 
 6-73 
 6-74 
 6-75 
 
 6-76 
 6-77 
 6-78 
 6-79 
 6-80 
 
 6-81 
 6-82 
 6-83 
 6-84 
 6-85 
 
 6-86 
 6-87 
 6-88 
 6-89 
 6-90 
 
 6-91 
 6-92 
 6-93 
 6-94 
 6-95 
 6-96 
 6-97 
 6-98 
 6-99 
 7-00 
 
 ar. 
 
 -8733395 
 •8748744 
 •8764069 
 -8779372 
 -8794650 
 
 •8809906 
 •8825138 
 -8840347 
 -8855533 
 •8870696 
 
 •8885836 
 -8900954 
 -8916048 
 -8931120 
 -8946169 
 •8961195 
 •8976198 
 •8991180 
 •9006 13<> 
 -9021075 
 
 •9035990 
 •9050882 
 -9065751 
 •9080599 
 •9095425 
 
 -9110229 
 •9125011 
 •9139771 
 •9154509 
 -9169226 
 
 •9183921 
 -9198595 
 •9213247 
 •9227877 
 •9242487 
 
 -9257074 
 -9271641 
 •9286187 
 .93007 1 1 
 •9315214 
 
 -9329696 
 -9344158 
 -9358598 
 -9373018 
 -9387417 
 
 •9401795 
 -9416152 
 -9430^89 
 •9444805 
 •9459101 
 
Tab. 7. HYPERBOLIC LOGARITHMS. (21l)| 
 
 N. 
 
 7-01 
 
 Logar. 
 
 N. 
 
 7-51 
 
 Logar. 
 
 2-0162355 
 
 N. 
 
 8-01 
 
 Logar. 
 
 N. 
 
 Logar. 
 
 1.9473377 
 
 2-0806908 
 
 2-1412419 
 
 7-02 
 
 1-9487632 
 
 7-52 
 
 2-0175661 
 
 8-02 
 
 2-0819384 
 
 8-52 
 
 2-1424163 
 
 7-03 
 
 1-9501867 
 
 7-53 
 
 2-0188950 
 
 8-03 
 
 2-0831845 
 
 8-53 
 
 2-1435894 
 
 7-04. 
 
 1-9516082 
 
 7-54 
 
 2-0202222 
 
 8-04 
 
 2-0844291 
 
 8-54 
 
 2-1447610 
 
 7-05 
 
 1-9530276 
 
 7-55 
 
 2-0215476 
 
 8-05 
 
 2-0856721 
 
 8-55 
 
 2-1459313 
 
 7-06 
 
 1-9544451 
 
 7-56 
 
 2-0228712 
 
 8-06 
 
 2-0869136 
 
 8-56 
 
 2-1471002 
 
 7-07 
 
 1-9558605 
 
 7-57 
 
 2-0241931 
 
 8-07 
 
 2-0881535 
 
 8-57 
 
 2-1482677 
 
 7"08 
 
 1-9572739 
 
 7-58 
 
 2-0255132 
 
 8-08 
 
 2-0893919 
 
 8-58 
 
 2-1494340 
 
 7-09 
 
 1-9586853 
 
 7-59 
 
 2-0268316 
 
 8-09 
 
 2-0906287 
 
 8-59 
 
 2-1505988 
 
 7-10 
 
 1-9600948 
 
 7-60 
 
 2-0281482 
 
 8-10 
 
 2-0918641 
 
 8-60 
 
 2-1517622 
 
 7-11 
 
 1-9615022 
 
 7-61 
 
 2-0294632 
 
 8-11 
 
 2-0930979 
 
 8-61 
 
 2-1529244 
 
 7-12 
 
 1-9629077 
 
 7-62 
 
 2-0307764 
 
 8-12 
 
 2-0943301 
 
 8-62 
 
 2-1540851 
 
 7-13 
 
 1-9643112 
 
 7-63 
 
 2-0320878 
 
 8-13 
 
 2-0955609 
 
 8-63 
 
 2-1552445 
 
 7-14 
 
 1-9657128 
 
 7-64 
 
 2-0333976 
 
 8-14 
 
 2-0967901 
 
 8-64 
 
 2-1564026 
 
 7-L5 
 
 1-9671124 
 
 7-65 
 
 2-0347056 
 
 8-15 
 
 2-0980179 
 
 865 
 
 2-1575593 
 
 7-16 
 
 1-9685100 
 
 7-66 
 
 2-0360120 
 
 8-16 
 
 2-0992442 
 
 8-66 
 
 2-1587147 
 
 7-17 
 
 1-9699056 
 
 7.67 
 
 2-0373166 
 
 8-17 
 
 2-1004689 
 
 8-67 
 
 2-1598688 
 
 7-18 
 
 1-9712994 
 
 7-68 
 
 2-0386195 
 
 8-18 
 
 2-1016922 
 
 8-68 
 
 21610215 
 
 7-19 
 
 1-9726912 
 
 7-69 
 
 2-0399208 
 
 8-19 
 
 2'1029139 
 
 8-69 
 
 2-1621729 
 
 7-20 
 
 1-9740810 
 
 7-70 
 
 2-0412203 
 
 8-20 
 
 2-1041342 
 
 8-70 
 
 2-1633230 
 
 7-21 
 
 1-9754690 
 
 7-71 
 
 2-0425182 
 
 8-21 
 
 2-1053529 
 
 8-71 
 
 2-1644718 
 
 7-22 
 
 1-9768550 
 
 7-72 
 
 2-0438144 
 
 8-22 
 
 2-1065702 
 
 8-72 
 
 2-1656192 
 
 7-23 
 
 1-9782390 
 
 7-73 
 
 2-0451089 
 
 8-23 
 
 2-1077860 
 
 8-73 
 
 2-1667654 
 
 7-24 
 
 1-9796212 
 
 7-74 
 
 2-0464017 
 
 8-24 
 
 2-1090003 
 
 8-74 
 
 2-1679102 
 
 7-25 
 
 1-9810015 
 
 7-75 
 
 2-0476928 
 
 8-25 
 
 2-1102125 
 
 8-75 
 
 2-1690537 
 
 7-26 
 
 1-9823798 
 
 7-76 
 
 2-0489823 
 
 8-26 
 
 2-1114246 
 
 8-76 
 
 2-1701959 
 
 7-27 
 
 1-9837563 
 
 7-77 
 
 2-0502702 
 
 8-27 
 
 2-1126345 
 
 8-77 
 
 2-1713368 
 
 7-28 
 
 1-9851309 
 
 7-78 
 
 2-0515563 
 
 8-28 
 
 2-1138430 
 
 8-78 
 
 2-1724764 
 
 7-29 
 
 1-9865035 
 
 7-79 
 
 2-0528409 
 
 8-29 
 
 2-1150500 
 
 8-79 
 
 2-1736147 
 
 7-30 
 
 1-9878743 
 
 7-80 
 
 2-0541237 
 
 8-30 
 
 2-1162555 
 
 8-80 
 
 2-1747517 
 
 7-31 
 
 1-9892433 
 
 7-81 
 
 2-0554050 
 
 8-31 
 
 2-1174596 
 
 8-81 
 
 2-1758874 
 
 7-32 
 
 1-9906103 
 
 7-82 
 
 2-0566846 
 
 8-32 
 
 2-1186623 
 
 8-82 
 
 2-1770219 
 
 7-33 
 
 1-9919755 
 
 7-83 
 
 2-0579625 
 
 8-33 
 
 2-1198634 
 
 8-83 
 
 2-1781550 
 
 7-34 
 
 1-9933388 
 
 7-84 
 
 2-0592388 
 
 8-34 
 
 2'1210632 
 
 8-84 
 
 2-1792869 
 
 7-35 
 
 1-9947003 
 
 7-85 
 
 2-0605135 
 
 8-35 
 
 2-1222615 
 
 8-85 
 
 2-1804175 
 
 7-36 
 
 1-9960599 
 
 7-86 
 
 2-0617866 
 
 8-36 
 
 2-1234584 
 
 8-86 
 
 2-1815468 
 
 7-37 
 
 1-9974177 
 
 7-87 
 
 2-0630581 
 
 8-37 
 
 2-1246539 
 
 8-87 
 
 2-1826748 
 
 7-38 
 
 1-9987736 
 
 7-88 
 
 2-0643279 
 
 8-38 
 
 2-1258479 
 
 8-88 
 
 2-1838016 
 
 7-39 
 
 20001277 
 
 7-89 
 
 2-0655961 
 
 8-39 
 
 2-1270405 
 
 8-89 
 
 2-1849270 
 
 7-40 
 
 2-0014800 
 
 7-90 
 
 2-0668628 
 
 8-40 
 
 2-1282317 
 
 8-90 
 
 2-1860513 
 
 7-41 
 
 2-0028304 
 
 7-91 
 
 2-0681278 
 
 8-41 
 
 2-1294215 
 
 8-91 
 
 2-1871742 
 
 7-42 
 
 2-0041791 
 
 7-92 
 
 2-0693912 
 
 8-42 
 
 2-1306098 
 
 8-92 
 
 2-1882959 
 
 7-43 
 
 2-0055259 
 
 7-93 
 
 2-0706530 
 
 8-43 
 
 2-1317968 
 
 8-93 
 
 2-1894164 
 
 7-44 
 
 20068708 
 
 7-94 
 
 2-0719133 
 
 8-44 
 
 2-1329823 
 
 8-94 
 
 2-1905356 
 
 7-45 
 
 2-0082140 
 
 7-95 
 
 2-0731719 
 
 8-45 
 
 2-1341664 
 
 8-95 
 
 2-1916535 
 
 7-46 
 
 2-0095554 
 
 7-96 
 
 2-0744290 
 
 8-46 
 
 2-1353492 
 
 8-96 
 
 2-1927702 
 
 7:47 
 
 2-0108950 
 
 7-97 
 
 2-0756845 
 
 8-47 
 
 2-1365305 
 
 8-97 
 
 2-1938857 
 
 7-48 
 
 2-0122328 
 
 7-98 
 
 2-0769384 
 
 8-48 
 
 2-1377104 
 
 8-98 
 
 2-1949999 
 
 7-49 
 
 2-0135688 
 
 7-99 
 
 2-0781907 
 
 8*49 
 
 2-1388890 
 
 8-99 
 
 2-1961128 
 
 7-50 
 
 2-0149030 
 
 8-00 
 
 2-0794415 
 
 8-50 
 
 2-1400662 
 
 9-00 
 
 2-1972246 
 
 
 
 
 
 
 ^,£ 
 
 2 
 
 
(212)* HYPERBOLIC LOGARITHMS. Tab. 7- 
 
 N. 
 
 9-01 
 
 Logar. 
 
 2-1983351 
 
 N. 
 
 Logar. 
 
 2-2364453 
 
 N. 
 
 Logar. 
 
 9-71 
 
 2-2731563 
 
 9-02 
 
 2-1994443 
 
 937 
 
 2-2375131 
 
 9-72 
 
 2-2741856 
 
 9-03 
 
 2-2005524 
 
 9-38 
 
 2-2385797 
 
 9-73 
 
 2-2752139 
 
 9-04 
 
 2-2016592 
 
 9-39 
 
 2-2396453 
 
 9-74 
 
 2-2762411 
 
 9-05 
 
 2-2027648 
 
 9-40 
 
 2-2407097 
 
 9-75 
 
 2-2772673 
 
 9-06 
 
 2-2038691 
 
 9-41 
 
 2-2417729 
 
 9-76 
 
 2-2782924 
 
 9-07 
 
 2-2049723 
 
 9-42 
 
 2-2428351 
 
 9-77 
 
 2-2793165 
 
 9-08 
 
 2-2060742 
 
 9-43 
 
 2-2438961 
 
 9-78 
 
 2-2803395 
 
 909 
 
 2-2071749 
 
 9-44 
 
 2-2449560 
 
 9-79 
 
 2-2813615 
 
 9-10 
 
 2-2082744 
 
 9-45 
 
 2-2460147 
 
 9-80 
 
 2-2823824 
 
 9-11 
 
 2-2093727 
 
 9-46 
 
 2-2470724 
 
 9-81 
 
 2-2834023- 
 
 9-12 
 
 2-2104698 
 
 9-47 
 
 2-2481289 
 
 9-82 
 
 2-2844211 
 
 9-13 
 
 2-2115657 
 
 9-48 
 
 2-2491843 
 
 9-83 
 
 2-2854389 
 
 9-14 
 
 2-2126604 
 
 9-49 
 
 2-2502386 
 
 9-84 
 
 2-2864557 
 
 9-16 
 
 2-2137539 
 
 9-50 
 
 2-2512918 
 
 9-85 
 
 2-2874715 
 
 9-16 
 
 2-2148462 
 
 9-51 
 
 2-2523439 
 
 9-86 
 
 2-2884862 
 
 9-17 
 
 2-2159373 
 
 9.52 
 
 2-2533947 
 
 9-87 
 
 2-2894999 
 
 9-18 
 
 2-2170272 
 
 9-53 
 
 2-2544446 
 
 9-88 
 
 2-2905125 
 
 9-19 
 
 2-2181159 
 
 9-54 
 
 2-2554935 
 
 9-89 
 
 2-2915241 
 
 9-20 
 
 2-2192035 
 
 9-55 
 
 2-2565411 
 
 9-90 
 
 2-2925348 
 
 9-21 
 
 2-2202898 
 
 9-56 
 
 2-2575877 
 
 9-91 
 
 22935444 
 
 9-22 
 
 2-2213750 
 
 9-57 
 
 2-2586332 
 
 9-92 
 
 2-2945529 
 
 9-23 
 
 2-2224590 
 
 9-58 
 
 2-2596775 
 
 9-93 
 
 2-2955605 
 
 9.24 
 
 2-2235419 
 
 9-59 
 
 2-2607209 
 
 . 9-94 
 
 2-2965670 
 
 9-25 
 
 2-2246236 
 
 9-60 
 
 2-2617631 
 
 9-95 
 
 2-2975726 
 
 9-26 
 
 2-2257040 
 
 9-61 
 
 2-2628042 
 
 9-96 
 
 2-2985771 
 
 9-27 
 
 2-2267834 
 
 9-62 
 
 2-2638443 
 
 9-97 
 
 2-2995806 
 
 9-28 
 
 2-2278615 
 
 9-63 
 
 2-2648832 
 
 9-98 
 
 2-3005831 
 
 9-29 
 
 2-2289385 
 
 9-64 
 
 2-2659211 
 
 9-99 
 
 2-3015846 
 
 9-30 
 
 9-2300144 
 
 ^'65 
 
 2-2669579 
 
 lOOO 
 
 2-3025851 
 
 9-31 
 
 2-2310891 
 
 9-66 
 
 2.2679936 
 
 1 00-0 
 
 4-6051702 
 
 9-32 
 
 2-2321626 
 
 9-67 
 
 2-2690283 
 
 1000 
 
 6-9077553 
 
 9-33 
 
 2-2332350 
 
 9-68 
 
 2-2700619 
 
 10000 
 
 9-2103404 
 
 9-34 
 
 2-2343062 
 
 9-69 
 
 2-2710944 
 
 100000 
 
 11-51292546 
 
 9-35 
 
 2-2353763 
 
 9-70 
 
 2-2721259 
 
 
 
Tab. 8^* HYPERBOLIC 
 
 LOGARITHMS. 
 
 (213)* 
 
 N. 
 
 Logar. 
 
 N. 
 
 Logar. 
 
 N. 
 
 101 
 
 Logar. 
 
 N. 
 
 151 
 
 Logar. 
 
 o-ooooooo 
 
 3 9318256 
 
 4-6151205 
 
 5-0172798 
 
 2 
 
 0-6931472 
 
 52 
 
 3-9512437 
 
 102 
 
 4-6249728 
 
 152 
 
 5-0238805 
 
 3 
 
 1-0986123 
 
 53 
 
 3-9702919 
 
 103 
 
 4-6347290 
 
 153 
 
 5-0304379 
 
 4 
 
 1-3862944 
 
 54 
 
 3-9889840 
 
 104 
 
 4-6443909 
 
 154 
 
 5-0369526 
 
 5 
 
 1-6094379 
 
 55 
 
 4-0073332 
 
 105 
 
 4-6539604 
 
 \55 
 
 5-0434251 
 
 6 
 
 1-7917595 
 
 5Q 
 
 4-0253517 
 
 106 
 
 4-6634391 
 
 156 
 
 5 0498560 
 
 7 
 
 1-9459101' 
 
 57 
 
 40430513 
 
 107 
 
 4-6728288 
 
 157 
 
 5-0562458 
 
 8 
 
 2-0794415 
 
 58 
 
 4-0604430 
 
 108 
 
 4-6821312 
 
 158 
 
 5-0625950 
 
 9 
 
 2-1972246 
 
 59 
 
 4-0775374 
 
 109 
 
 4-6913479 
 
 159 
 
 5-0689042 
 
 10 
 
 2-3025851 
 
 60 
 
 4-0943446 
 
 HO 
 
 4-7004804 
 
 160 
 
 5-0751738 
 
 11 
 
 2-3978953 
 
 61 
 
 4-1108739 
 
 111 
 
 4-7095302 
 
 161 
 
 5-0814044 
 
 12 
 
 2-4849066 
 
 62 
 
 4-1271344 
 
 112 
 
 4-7184989 
 
 162 
 
 5-0875963 
 
 13 
 
 2-5649494 
 
 63 
 
 4-1431347 
 
 113 
 
 4-7273878 
 
 163 
 
 5-0937502 
 
 14 
 
 2-6390573 
 
 64 
 
 4'1588831 
 
 114 
 
 4-7361984 
 
 164 
 
 5-0998664 
 
 15 
 
 2-7080502 
 
 65 
 
 4-1743873 
 
 115 
 
 4-7449321 
 
 165 
 
 5-1059455 
 
 16 
 
 2-7725887 
 
 6Q 
 
 4-1896547 
 
 116 
 
 4-7535902 
 
 166 
 
 5-1119878 
 
 17 
 
 2-8332133 
 
 67 
 
 4-2046926 
 
 117 
 
 4-7621739 
 
 167 
 
 5-1179938 
 
 18 
 
 2-8903718 
 
 68 
 
 4-2195077 
 
 118 
 
 4-7706846 
 
 168 
 
 5-1239640 
 
 19 
 
 2-9444390 
 
 69 
 
 4-2341065 
 
 119 
 
 4-7791235 
 
 169 
 
 5-1298987 
 
 20 
 
 2-9957323 
 
 70 
 
 4-2484952 
 
 120 
 
 4-7874917 
 
 170 
 
 5-1357984 
 
 21 
 
 3-0445224 
 
 71 
 
 4-2626799 
 
 121 
 
 4-7957905 
 
 171 
 
 5-1416636 
 
 22 
 
 3-0910425 
 
 72 
 
 4-2766661 
 
 122 
 
 4-8040210 
 
 172 
 
 5-1474945 
 
 23 
 
 3-1354942 
 
 73 
 
 4-2904594 
 
 123 
 
 4-8121844 
 
 173 
 
 5-1532916 
 
 24 
 
 3-1780538 
 
 74 
 
 4-3040651 
 
 124 
 
 4-8202816 
 
 174 
 
 5-1590553 
 
 25 
 
 3-2188758 
 
 75 
 
 4-3174881 
 
 125 
 
 4-8283137 
 
 175 
 
 5-1647860 
 
 26 
 
 3-2580965- 
 
 76 
 
 4-3307333 
 
 126 
 
 4-8362819 
 
 176 
 
 5-1704840 
 
 27 
 
 3-2958369 
 
 77 
 
 4-3438054 
 
 127 
 
 4-8441871 
 
 177 
 
 5-1761497 
 
 28 
 
 3-3322045 
 
 78 
 
 4-3567088 
 
 128 
 
 4-8520303 
 
 178 
 
 5-1817836 
 
 29 
 
 3-3672958 
 
 79 
 
 4-3694479 
 
 129 
 
 4-8598124 
 
 179 
 
 5-1873858 
 
 30 
 
 3-4011974 
 
 80 
 
 4-3820266 
 
 130 
 
 4-8675345 
 
 180 
 
 5-1929569 
 
 31 
 
 3-4339872 
 
 81 
 
 4-3944492 
 
 131 
 
 4-8751973 
 
 181 
 
 5-1984970 
 
 32 
 
 3-4657359 
 
 82 
 
 4-4067192 
 
 132 
 
 4-8828019 
 
 182 
 
 5-2040067 
 
 33 
 
 3-4965076 
 
 83 
 
 4-4188406 
 
 133 
 
 4-8903491 
 
 183 
 
 5-2094862 
 
 34 
 
 3-5263605 
 
 84 
 
 4-4308168 
 
 134 
 
 4-8978398 
 
 184 
 
 5-2149358 
 
 35 
 
 3-5553481 
 
 85 
 
 4-4426513 
 
 135 
 
 4-9052748 
 
 185 
 
 5-2203558 
 
 36 
 
 3-5835189 
 
 86 
 
 4-4543473 
 
 136 
 
 4-9126549 
 
 186 
 
 5-2257467 
 
 31 
 
 3-6109179 
 
 87 
 
 4-4659081 
 
 137 
 
 4-9199809 
 
 187 
 
 5-2311086 
 
 38 
 
 3-6375862 
 
 88 
 
 4-4773368 
 
 138 
 
 4-9272537 
 
 188 
 
 5-2364420 
 
 39 
 
 ?y6Q3bQ\% 
 
 89 
 
 4-4886364 
 
 139 
 
 4-9344739 
 
 189 
 
 5-2417470 
 
 40 
 
 3-6888795 
 
 90 
 
 4-4998097 
 
 140 
 
 4-9416424 
 
 190 
 
 5-2470241 
 
 41 
 
 3-7135721 
 
 91 
 
 4-5108595 
 
 141 
 
 4-9487599 
 
 191 
 
 5-2522734 
 
 42 
 
 3-7376696 
 
 92 
 
 4-5217886 
 
 142 
 
 4-9558271 
 
 192 
 
 5-2574954 
 
 43 
 
 3-7612001 
 
 93 
 
 4-5325995 
 
 143 
 
 4-9628446 
 
 193 
 
 5-2626902 
 
 44 
 
 3-7841896 
 
 94 
 
 4-5432948 
 
 144 
 
 4-9698133 
 
 194 
 
 5-2678582 
 
 45 
 
 3-8066625 
 
 95 
 
 4-5538769 
 
 145 
 
 4-9767337 
 
 195 
 
 5-2729996 
 
 46 
 
 3-8286414 
 
 96 
 
 4-5643482 
 
 146 
 
 4-9836066 
 
 196 
 
 5-2781147 
 
 47 
 
 3-8501476 
 
 97 
 
 4-5747110 
 
 147 
 
 4-9904326 
 
 197 
 
 5-2832037 
 
 48 
 
 3-8712010 
 
 98 
 
 4-5849675 
 
 148 
 
 4-9972123 
 
 198 
 
 5-2882670 
 
 49 
 
 3-8918203 
 
 99 
 
 4-5951199 
 
 149 
 
 5-0039463 
 
 199 
 
 5-2933048 
 
 50 3-91 20230 1 
 
 100 
 
 4-6051702 
 
 150 
 
 5-0106353 
 
 200 
 
 5-2983174 
 
'(214)* HYPERBOLIC LOGARITHMS. Tab. 8.* | 
 
 N. 
 
 201 
 
 Logar. 
 
 N. 
 
 251 
 
 Logar. 
 
 N. 
 
 301 
 
 Logar. 
 
 N. 
 
 351 
 
 Logar. 
 
 5-3033049 
 
 5-5254529 
 
 5-7071103 
 
 5-8607862 
 
 202 
 
 5-3082677 
 
 252 
 
 5-5294291 
 
 302 
 
 5-7104270 
 
 352 
 
 5-8636312 
 
 203 
 
 5-3132060 
 
 253 
 
 5-5333895 
 
 303 
 
 5-7137328 
 
 353 
 
 5-8664681 
 
 204 
 
 5-3181200 
 
 254 
 
 5-5373343 
 
 304 
 
 5-7170277 
 
 354 
 
 5-8692969 
 
 205 
 
 5-3230100 
 
 255 
 
 5-5412635 
 
 305 
 
 5-7203118 
 
 355 
 
 5-8721178 
 
 206 
 
 5-3278762 
 
 256 
 
 5-5451774 
 
 306 
 
 5-7235851 
 
 356 
 
 5-8749307 
 
 207 
 
 5-3327188 
 
 257 
 
 5-5490761 
 
 307 
 
 5-7268477 
 
 357 
 
 5-8777358 
 
 208 
 
 5-3375381 
 
 258 
 
 5-5529596 
 
 308 
 
 5-7300998 
 
 358 
 
 5-8805330 
 
 209 
 
 5-3423343 
 
 259 
 
 5-5568281 
 
 309 
 
 5-7333413 
 
 359 
 
 5-8833224 
 
 ,210 
 
 5-3471075 
 
 260 
 
 5-5606816 
 
 310 
 
 5-7365723 
 
 360 
 
 5-8861040 
 
 211 
 
 5-3518581 
 
 261 
 
 5-5645204 
 
 311 
 
 5-7397929 
 
 361 
 
 5-8888780 
 
 212 
 
 5'^6Q5m'i 
 
 262 
 
 5-5683445 
 
 312 
 
 5-7430032 
 
 362 
 
 5-8916442 
 
 213 
 
 5-3612922 
 
 263 
 
 5-5721540 
 
 313 
 
 5-7462032 
 
 363 
 
 5-8944028 
 
 214. 
 
 5-3659760 
 
 264 
 
 5-5759491 
 
 314 
 
 5-7493930 
 
 364 
 
 5-8971539 
 
 215 
 
 5-3706380 
 
 265 
 
 5-5797298 
 
 315 
 
 5-7525726 
 
 365 
 
 5-8998974 
 
 216 
 
 5-3752784 
 
 266 
 
 5-5834963 
 
 316 
 
 5-7557422 
 
 366 
 
 5-9026333 
 
 217 
 
 5-3798974 
 
 267 
 
 5-5872487 
 
 317 
 
 5-7589018 
 
 367 
 
 5-9053618 
 
 218 
 
 5-3844951 
 
 268 
 
 5-5909870 
 
 318 
 
 5-7620514 
 
 368 
 
 5-9080829 
 
 219 
 
 5-3890717 
 
 269 
 
 5-5947114 
 
 319 
 
 5-7651911 
 
 369 
 
 5-9107966 
 
 220 
 
 5-3936275 
 
 270 
 
 5-5984220 
 
 320 
 
 5-7683210 
 
 370 
 
 5-9135030 
 
 221 
 
 5-3981627 
 
 271 
 
 5-6021188 
 
 321 
 
 5-7714411 
 
 371 
 
 5-9162021 
 
 222 
 
 5-4026774 
 
 272 
 
 5-6058021 
 
 322 
 
 5-7745515 
 
 372 
 
 5.9188939 
 
 223 
 
 5-4071718 
 
 273 
 
 5-6094718 
 
 323 
 
 5-7776523 
 
 373 
 
 5-9215784 
 
 224 
 
 5-4116461 
 
 274 
 
 5-6131281 
 
 324 
 
 5-7807435 
 
 374 
 
 5-9242558 
 
 225 
 
 5-4161004 
 
 275 
 
 5-6167711 
 
 325 
 
 5-7838252 
 
 375 
 
 5-9269260 
 
 226 
 
 5-4205350 
 
 276 
 
 5-6204009 
 
 326 
 
 5-7868974 
 
 376 
 
 5-9295891 
 
 227 
 
 5-4249500 
 
 277 
 
 5-6240175 
 
 327 
 
 5-7899602 
 
 377 
 
 5-9322452 
 
 228 
 
 5-4293456 
 
 278 
 
 5-6276211 
 
 328 
 
 5-7930136 
 
 378 
 
 5-9348942 
 
 229 
 
 5-4337220 
 
 279 
 
 5-6312118 
 
 329 
 
 5-7960578 
 
 379 
 
 5-9375362 
 
 230 
 
 5-4380793 
 
 280 
 
 5-6347896 
 
 330 
 
 5-7990927 
 
 380 
 
 5-9401713 
 
 231 
 
 5-4424177 
 
 281 
 
 5-6383547 
 
 331 
 
 5-8021184 
 
 381 
 
 5-9427994 
 
 232 
 
 5-4467374 
 
 282 
 
 5-6419071 
 
 332 
 
 5-8051350 
 
 382 
 
 5-9454206 
 
 2SS 
 
 5-4510385 
 
 283 
 
 5-6454469 
 
 333 
 
 5-8081425 
 
 383 
 
 5-9480350 
 
 234 
 
 5-4553211 
 
 284 
 
 5-6489742 
 
 334 
 
 5-8111410 
 
 384 
 
 5-9506426 
 
 235 
 
 5-4595855 
 
 285 
 
 5-6524892 
 
 335 
 
 5-814130^ 
 
 385 
 
 5-9532433 
 
 2!iQ 
 
 5-4638318 
 
 286 
 
 5-6559918 
 
 336 
 
 5-8171112 
 
 386 
 
 5-9558374 
 
 .237 
 
 5-4680601 
 
 287 
 
 5-6594822 
 
 337 
 
 5-8200829 
 
 387 
 
 5 9584247 
 
 238 
 
 5-4722707 
 
 288 
 
 5'QmQQ05 
 
 338 
 
 5-8230459 
 
 388 
 
 5-9610053 
 
 239 
 
 5-4764636 
 
 289 
 
 5-6664267 
 
 339 
 
 5-8260001 
 
 389 
 
 5-963579? 
 
 240 
 
 5-4806389 
 
 290 
 
 5-6698809 
 
 340 
 
 5-8289456 
 
 390 
 
 5-9661467 
 
 241 
 
 5-4847969 
 
 291 
 
 5'Q1S32S3 
 
 341 
 
 5-8318825 
 
 391 
 
 5-9687076 
 
 242 
 
 5-4889377 
 
 292 
 
 5-6767538 
 
 342 
 
 5-8348107 
 
 392 
 
 5-971261$ 
 
 243 
 
 5-4930614 
 
 293 
 
 5-6801726 
 
 343 
 
 5-8377304 
 
 393 
 
 5-9738096 
 
 244 
 
 5-4971682 
 
 294 
 
 5-6835798 
 
 344 
 
 5-8406417 
 
 394 
 
 5-9763509 
 
 245 
 
 5-5012582 
 
 295 
 
 5-6869754 
 
 345 
 
 5-8435444 
 
 395 
 
 5 -97 8 885 S 
 
 246 
 
 5-5053315 
 
 296 
 
 5-6903595 
 
 346 
 
 5-8464388 
 
 396 
 
 5-9814142 
 
 247 
 
 5-5093883 
 
 297 
 
 5-6937321 
 
 347 
 
 5-8493248 
 
 397 
 
 5-9839363 
 
 248 
 
 5-5134287 
 
 298 
 
 5-6970935 
 
 348 
 
 5-8522025 
 
 398 
 
 5-9864520 
 
 249 
 
 5-5174529 
 
 299 
 
 5-7004436 
 
 349 
 
 5-8550719 399 
 
 5-9889614 
 
 ^50 
 
 5-5214609 
 
 300 
 
 5-7037825 
 
 350 
 
 5-8579332 400 
 
 5-9914645 
 
Tab. 8.* HYPERBOLIC LOGARITHMS. (215)*] 
 
 N. 
 
 401 
 
 Logar. 
 
 N. 
 
 451 
 
 Logar. 
 
 N. 
 
 501 
 
 Logar. 
 
 N. 
 
 551 
 
 Logar. 
 
 5-9939614 
 
 6-1114673 
 
 6-2166061 
 
 6-3117348 
 
 402 
 
 59964521 
 
 452 
 
 6-1136822 
 
 502 
 
 6-2186001 
 
 552 
 
 6-3135480 
 
 403 
 
 5-9989366 
 
 453 
 
 6-1158921 
 
 503 
 
 6-2205902 
 
 553 
 
 6-3153580 
 
 404 
 
 6-0014149 
 
 454 
 
 6-1180972 
 
 504 
 
 6-2225763 
 
 554 
 
 63171647 ^ 
 
 403 
 
 6-0038871 
 
 455 
 
 6-1202974 
 
 505 
 
 6-2245584 
 
 555 
 
 6-3189681 
 
 406 
 
 6-0063532 
 
 456 
 
 6-1224928 
 
 506 
 
 6-2265367 
 
 556 
 
 6-3207683 
 
 407 
 
 6-0088132 
 
 457 
 
 6-1246834 
 
 507 
 
 6-2285110 
 
 551 
 
 6-3225652 
 
 408 
 
 60112672 
 
 458 
 
 6-1268692 
 
 508 
 
 6-2304814 
 
 558 
 
 6-3243590 
 
 409 
 
 6-0137152 
 
 459 
 
 6-1290502 
 
 509 
 
 6-2324480 
 
 559 
 
 6-3261495 
 
 410 
 
 6-0161572 
 
 460 
 
 6-1312265 
 
 510 
 
 6-2344107 
 
 560 
 
 6-3^79368 
 
 411 
 
 6-0185932 
 
 461 
 
 6-1333980 
 
 511 
 
 6-2363696 
 
 561 
 
 6-3297209 
 
 412 
 
 6-0210233 
 
 462 
 
 6-1355649 
 
 512 
 
 6-2383246 
 
 562 
 
 6-3315018 
 
 413 
 
 6-0234476 
 
 463 
 
 6-1377271 
 
 513 
 
 6-2402758 
 
 563 
 
 6-3332796 
 
 414 
 
 6-0258660 
 
 464 
 
 6-1398846 
 
 514 
 
 6-2422233 
 
 564 
 
 6-3350543 
 
 415 
 
 6-0282785 
 
 465 
 
 6-1420374 
 
 515 
 
 6-2441669 
 
 565 
 
 6-3368257 
 
 416 
 
 6-0306853 
 
 466 
 
 6-1441856 
 
 516 
 
 6-2461068 
 
 566 
 
 6-3385941 
 
 417 
 
 6-0330862 
 
 467 
 
 6-1463293 
 
 517 
 
 6-2480429 
 
 567 
 
 6-3403593 
 
 418 
 
 6-0354814 
 
 468 
 
 6-1484683 
 
 518 
 
 6-2499752 
 
 568 
 
 6-3421214 
 
 419 
 
 6-0378709 
 
 469 
 
 6-1506028 
 
 519 
 
 6-2519039 
 
 569 
 
 6-3438804 
 
 420 
 
 6-0402547 
 
 470 
 
 6-1527327 
 
 520 
 
 6-2538288 
 
 570 
 
 6-3456364 
 
 421 
 
 6-0426328 
 
 471 
 
 6-1548581 
 
 521 
 
 6-2557500 
 
 571 
 
 6-3473892 
 
 422 
 
 6-0450053 
 
 472 
 
 6-1569790 
 
 522 
 
 6-257 667s6 
 
 572 
 
 6-3491390 
 
 423 
 
 6-0473722 
 
 473 
 
 6-1590954 
 
 523 
 
 6-2595815 
 
 573 
 
 6-3508857 
 
 424 
 
 6-0497335 
 
 474 
 
 6-1612073 
 
 524 
 
 6-2614917 
 
 574 
 
 6-3526294 ' 
 
 425 
 
 6-0520892 
 
 475 
 
 6-1633148 
 
 525 
 
 6-2633983 
 
 575 
 
 6-3543700 
 
 426 
 
 6-0544393 
 
 476 
 
 6-1654179 
 
 526 
 
 6-2653012 
 
 576 
 
 6-3561077 
 
 427 
 
 6-0567840 
 
 477 
 
 61675165 
 
 527 
 
 6-2672005 
 
 577 
 
 6-3578423 
 
 428 
 
 6-0591232 
 
 478 
 
 6-1696107 
 
 528 
 
 6-2690963 
 
 578 
 
 6-3595739 
 
 429 
 
 60614569 
 
 479 
 
 6-1717006 
 
 529 
 
 6-2709884 
 
 579 
 
 6-3613025 
 
 430 
 
 6-0637852 
 
 480 
 
 6-1737861 
 
 530 
 
 6-2728770 
 
 580 
 
 6-3630281 
 
 431 
 
 6-0661081 
 
 481 
 
 6-1758673 
 
 531 
 
 6-2747620 
 
 581 
 
 6-3647508 
 
 432 
 
 6-0684256 
 
 482 
 
 6-1779441 
 
 532 
 
 6-2766435 
 
 582 
 
 6-3664704 
 
 433 
 
 6-0707377 
 
 483 
 
 6-1800167 
 
 533 
 
 6-2785214 
 
 583 
 
 6-3681872 
 
 434 
 
 6-0730445 
 
 484 
 
 6-1820849 
 
 534 
 
 6-2803958 
 
 584 
 
 6-3699010 
 
 435 
 
 6-0753460 
 
 485 
 
 6-1841489 
 
 535 
 
 6-2822667 
 
 585 
 
 6-3716118 
 
 436 
 
 6-0776422 
 
 486 
 
 6-1862086 
 
 536 
 
 6-2841342 
 
 586 
 
 6-3733198 
 
 437 
 
 6-0799332 
 
 487 
 
 6-1882641 
 
 537 
 
 6-2859981 
 
 587 
 
 6-3750248 
 6-3767269 
 
 438 
 
 6-0822189 
 
 488 
 
 6-1903154 
 
 538 
 
 6-2878586 
 
 588 
 
 439 
 
 60844994 
 
 489 
 
 6-1923625 
 
 539 
 
 6-2897156 
 
 589 
 
 6-3784262 
 
 440 
 
 6-0867747 
 
 490 
 
 6-1944054 
 
 540 
 
 6-2915691 
 
 590 
 
 6-3801225 
 
 441 
 
 6-0890449 
 
 491 
 
 6-1964441 
 
 541 
 
 6-2934193 
 
 591 
 
 6-3818160 
 
 442 
 
 6-0913099 
 
 492 
 
 6-1984787 
 
 542 
 
 6-2952660 
 
 592 
 
 6-3835066 
 
 443 
 
 6-0935698 
 
 493 
 
 6-2005092 
 
 543 
 
 6.2971093 
 
 593 
 
 6-3851944 
 
 444 
 
 6-0958246 
 
 494 
 
 6-2025355 
 
 544 
 
 6-2989492 
 
 594 
 
 6-3868793 ■ 
 
 445 
 
 6-0980743 
 
 495 
 
 6-2045578 
 
 545 
 
 6-3007858 
 
 595 
 
 6-3885614 
 
 446 
 
 6-1003190 
 
 496 
 
 6-2065759 
 
 546 
 
 6-3026190 
 
 596 
 
 6-3902407 
 
 447 
 
 6-1025586 
 
 497 
 
 6-2085900 
 
 547 
 
 6-3044488 
 
 597 
 
 6-3919171 
 
 448 
 
 61047932 
 
 498 
 
 6-2106001 
 
 548 
 
 6-3062753 
 
 598 
 
 6-3935908 
 
 449 
 
 6-1070229 
 
 499 
 
 6-2126061 
 
 549 
 
 6-3080984 
 
 599 
 
 6-3952616 
 
 450 
 
 6-1092476 
 
 500 
 
 6-2146081 
 
 550 
 
 6-3099183 
 
 600 
 
 6-3969297 
 
(21 
 
 6)* HYPERBOLIC 
 
 LOGARITHMS 
 
 
 Tab. 8.* 
 
 N. 
 
 Logar. 
 
 N. 
 
 651 
 
 Logar. 
 
 N. 
 ToT 
 
 Logar. 
 
 N. 
 
 751 
 
 Logar. 
 
 601 
 
 63985949 
 
 6-4785096 
 
 6-5525079 
 
 6-6214057 
 
 602 
 
 6-4002574 
 
 652 
 
 6-4800446 
 
 702 
 
 6-5539334 
 
 752 
 
 6-6227363 
 
 603 
 
 6-4019172 
 
 653 
 
 6-4815771 
 
 703 
 
 6-5553569 
 
 753 
 
 6-6240652 
 
 604 
 
 6-4035742 
 
 654 
 
 6-4831074 
 
 704 
 
 6-556118^ 
 
 754 
 
 6-6253924 
 
 605 
 
 6-4052285 
 
 655 
 
 6-4846352 
 
 705 
 
 6-5581978 
 
 755 
 
 6-6267177 
 
 606 
 
 6-4068800 
 
 656 
 
 6-4861608 
 
 706 
 
 6-5596152 
 
 756 
 
 6-6280414 
 
 607 
 
 6-4085288 
 
 651 
 
 6-4876840 
 
 707 
 
 6-5610307 
 
 757 
 
 6-6293633 
 
 608 
 
 6-4101749 
 
 658 
 
 6-4892049 
 
 708 
 
 6-5624441 
 
 758 
 
 6-6306834 
 
 609 
 
 6-4118183 
 
 659 
 
 6-4907235 
 
 709 
 
 6-563S555 
 
 759 
 
 6-6320018 
 
 610 
 
 6-4134590 
 
 660 
 
 6-4922398 
 
 710 
 
 6-5652650 
 
 760 
 
 6-6333184 
 
 611 
 
 6-4150970 
 
 661 
 
 6-4937538 
 
 711 
 
 6-5666724 
 
 761 
 
 6-6346334 
 
 612 
 
 6-4167323 
 
 662 
 
 6-49526^6 
 
 712 
 
 6-5680779 
 
 762 
 
 6-63594^66 
 
 613 
 
 6-4183649 
 
 663 
 
 6-4967750 
 
 713 
 
 6-5694814 
 
 763 
 
 6-6372580 
 
 614 
 
 6-4199949 
 
 664 
 
 6-4982821 
 
 714 
 
 6-5708830 
 
 764 
 
 6-6385678 
 
 615 
 
 6-4216223 
 
 665 
 
 6-4997870 
 
 715 
 
 6-5722825 
 
 765 
 
 6-6398758 
 
 616 
 
 6-4232470 
 
 666 
 
 6-5012897 
 
 716 
 
 6-5736802 
 
 766 
 
 6-6411822 
 
 617 
 
 6-4248690 
 
 661 
 
 6-5027900 
 
 717 
 
 6-5750758 
 
 767 
 
 6-6424868 
 
 618 
 
 6-4264885 
 
 668 
 
 6-5042882 
 
 718 
 
 6-5764696 
 
 768 
 
 6-6437897 
 
 619 
 
 6-4281053 
 
 669 
 
 6-5057841 
 
 719 
 
 6-5778614 
 
 769 
 
 6-6450910 
 
 620 
 
 6-4297195 
 
 670 
 
 6-5072777 
 
 720 
 
 6-5792512 
 
 770 
 
 6-6463905 
 
 621 
 
 6-4313311 
 
 671 
 
 6-5087691 
 
 721 
 
 6-5806391 
 
 771 
 
 6-6476884 
 
 622 
 
 6-4329401 
 
 672 
 
 6-5102583 
 
 722 
 
 6-5820251 
 
 772 
 
 6-6489846 
 
 623 
 
 6-4345465 
 
 673 
 
 6-5117453 
 
 723 
 
 6-5834092 
 
 773 
 
 6-6502790 
 
 624 
 
 6-4361504 
 
 674 
 
 6-5132301 
 
 724 
 
 6-5847914 
 
 774 
 
 6-6515719 
 
 625 
 
 6-4377516 
 
 675 
 
 6-5147127 
 
 725 
 
 6-5861717 
 
 775 
 
 6-6528630 
 
 626 
 
 6-4393504 
 
 676 
 
 6-5161931 
 
 726 
 
 6-5875500 
 
 776 
 
 6-6541525 
 
 627 
 
 6-4409465 
 
 677 
 
 6-5176713 
 
 727 
 
 6-5889265 
 
 777 
 
 6-6554404 
 
 628 
 
 6-4425402 
 
 678 
 
 6-5191473 
 
 728 
 
 6-5903010 
 
 778 
 
 6-6561265 
 
 629 
 
 6-4441313 
 
 679 
 
 6-5206211 
 
 729 
 
 6-5916737 
 
 779 
 
 6-6580110 
 
 630 
 
 6-4457198 
 
 680 
 
 6-5220928 
 
 730 
 
 6-5930445 
 
 780 
 
 6-6592939 
 
 631 
 
 6-4473059 
 
 681 
 
 6-5235623 
 
 731 
 
 6-5944135 
 
 781 
 
 6-6605751 
 
 632 
 
 6-4488894 
 
 632 
 
 6-5250297 
 
 732 
 
 6-5957805 
 
 782 
 
 6-6618547 
 
 633 
 
 6-4504704 
 
 683 
 
 6-5264949 
 
 733 
 
 6-5971457 
 
 783 
 
 6-6631327 
 
 634 
 
 6-4520490 
 
 684 
 
 6-5279579 
 
 734 
 
 6-5985090 
 
 784 
 
 6-6644090 
 
 635 
 
 6-4536250 
 
 685 
 
 6-5294188 
 
 735 
 
 6-5998705 
 
 785 
 
 6-6656831 
 
 636 
 
 6-4551986 
 
 686 
 
 6-5308776 
 
 736 
 
 6-6012301 
 
 786 
 
 6-6669568 
 
 637 
 
 6-4567697 
 
 687 
 
 6-5323343 
 
 737 
 
 6-6025879 
 
 787 
 
 6-6682282 
 
 638 
 
 6-4583383 
 
 688 
 
 6-5337888 
 
 738 
 
 6-6039438 
 
 788 
 
 6-6694981 
 
 639 
 
 6-4599045 
 
 689 
 
 6-5352413 
 
 739 
 
 6-6052979 
 
 789 
 
 6-6707663 
 
 640 
 
 6-4614682 
 
 690 
 
 Q'53669\6 
 
 740 
 
 6-6066302 
 
 790 
 
 6-6720329 
 
 641 
 
 6-4630295 
 
 691 
 
 6-5381398 
 
 741 
 
 6-6080006 
 
 791 
 
 6-6732980 
 
 642 
 
 6-4645883 
 
 692 
 
 6-5395860 
 
 742 
 
 6-6093492 
 
 792 
 
 6-6745614 
 
 643 
 
 6-4661447 
 
 693 
 
 6-5410300 
 
 743 
 
 6-6106960 
 
 793 
 
 6-6758232 
 
 644 
 
 6-4676987 
 
 694 
 
 6-5424720 
 
 744 
 
 6-6120410 
 
 794 
 
 6-6770835 
 
 645 
 
 6-4692503 
 
 695 
 
 6-5439118 
 
 745 
 
 6-6133842 
 
 795 
 
 6-6783421 
 
 646 
 
 6-4707995 
 
 696 
 
 6-5453497 
 
 746 
 
 6-6147256 
 
 796 
 
 6-6795992 
 
 647 
 
 6-4723463 
 
 697 
 
 6-5467854 
 
 747 
 
 6-6160652 
 
 797 
 
 6-6808547 
 
 648 
 
 6-4738907 
 
 698 
 
 6-5482191 
 
 748 
 
 6-6174030 
 
 798 
 
 6-6821086 
 
 649 
 
 6-4754327 
 
 699 
 
 6-5496507 
 
 749 
 
 6-6187390 799 
 
 6-6833609 
 
 650 
 
 6-4769724 
 
 700 
 
 6-5510803 
 
 750 
 
 6-6200732 800 
 
 6-6846117 
 
Tab. 8.* HYPERBOLIC LOGARITHMS. (217)*| 
 
 N. 
 
 801 
 
 Logar. 
 
 N. 
 
 851 
 
 Logar. 
 
 N". 
 
 901 
 
 Logar. 
 
 N. 
 
 951 
 
 Logar. 
 
 6-6858609 
 
 6-7464121 
 
 6-8035053 
 
 6-8575141 
 
 802 
 
 6-6871086 
 
 852 
 
 6-7475865 
 
 902 
 
 6-8046145 
 
 952 
 
 6-8585650 
 
 803 
 
 6-6883547 
 
 853 
 
 6-7487595 
 
 903 
 
 6-8057226 
 
 953 
 
 6-8596149 
 
 804 
 
 6-6895993 
 
 854 
 
 6-7499312 
 
 904 
 
 6-8068294 
 
 954 
 
 6-8606637 
 
 803 
 
 6-6908423 
 
 855 
 
 6-7511015 
 
 905 
 
 6-8079349 
 
 955 
 
 6-8617113 
 
 806 
 
 6-6920837 
 
 856 
 
 6-7522704 
 
 906 
 
 6-8090393 
 
 956 
 
 6-8627579 
 
 807 
 
 6-6933237 
 
 857 
 
 6-7534379 
 
 907 
 
 6-8101425 
 
 957 
 
 6-8638034 
 
 808 
 
 6-6945621 
 
 858 
 
 6-7546041 
 
 908 
 
 6-8112444 
 
 958 
 
 6-8648478 
 
 809 
 
 6-6957989 
 
 859 
 
 6-7557689 
 
 909 
 
 6-8123451 
 
 959 
 
 6-8658911 
 
 810 
 
 6-6970342 
 
 860 
 
 6-7569324 
 
 910 
 
 6-8134446 
 
 960 
 
 6-8669333 
 
 811 
 
 6-6982G81 
 
 36] 
 
 6-7580945 
 
 911 
 
 6-8145429 
 
 961 
 
 6-8679744 
 
 812 
 
 6-6995003 
 
 862 
 
 6-7592553 
 
 912 
 
 6-8156400 
 
 962 
 
 6-8690145 
 
 813 
 
 6-7007311 
 
 863 
 
 6-7604147 
 
 913 
 
 6-8167359 
 
 963 
 
 6-8700534 
 
 814 
 
 6-7019604 
 
 864 
 
 6-7615728 
 
 914 
 
 6-8178306 
 
 964 
 
 6-8710913 
 
 815 
 
 6-7031881 
 
 865 
 
 6-7627295 
 
 915 
 
 6-8189241 
 
 965 
 
 6-8721281 
 
 816 
 
 6-7044144 
 
 866 
 
 6-7638849 
 
 916 
 
 6-8200164 
 
 966 
 
 6-8731638 
 
 817 
 
 6-7056391 
 
 867 
 
 6-7650390 
 
 917 
 
 6-8211075 
 
 967 
 
 6-8741985 
 
 818 
 
 6-7068623 
 
 868 
 
 6-7661917 
 
 918 
 
 6-8221974 
 
 968 
 
 6-8752321 
 
 819 
 
 6-7080841 
 
 869 
 
 6-7673431 
 
 919 
 
 6-8232861 
 
 969 
 
 6-8762646 
 
 820 
 
 6:7093043 
 
 870 
 
 6-7684932 
 
 920 
 
 6-8243737 
 
 970 
 
 6-8772961 
 
 821 
 
 6-7105231 
 
 871 
 
 6-7696420 
 
 921 
 
 6-8254600 
 
 971 
 
 6-8783263 
 
 822 
 
 6-7117404 
 
 872 
 
 6-7707894 
 
 922 
 
 6-8265452 
 
 972 
 
 6-8793558 
 
 823 
 
 6-7129562 
 
 873 
 
 6-7719356 
 
 923 
 
 6-8276292 
 
 973 
 
 6-8803841 
 
 824 
 
 6-7141705 
 
 874 
 
 6-7730804 
 
 924 
 
 6-8287121 
 
 974 
 
 6-8814113 
 
 825 
 
 6-7153834 
 
 875 
 
 6-7742239 
 
 925 
 
 68297937 
 
 975 
 
 6-8824375 
 
 826 
 
 6-7165948 
 
 876 
 
 6-7753661 
 
 926 
 
 6-8308742 
 
 976 
 
 6-8834626 
 
 827 
 
 6-7178047 
 
 877 
 
 6-7765070 
 
 927 
 
 6-8319536 
 
 977 
 
 6-8844867 
 
 828 
 
 6-7190132 
 
 878 
 
 6-7776466 
 
 928 
 
 6-8330317 
 
 978 
 
 6-8855097 
 
 829 
 
 6-7202202 
 
 879 
 
 6-7787849 
 
 929 
 
 6-8341087 
 
 979 
 
 6-8865316 
 
 830 
 
 6-7214257 
 
 880 
 
 6-7799219 
 
 930 
 
 6-8351846 
 
 980 
 
 6-8875326 
 
 831 
 
 6-7226298 
 
 881 
 
 6-7810576 
 
 931 
 
 6-8362593 
 
 981 
 
 6-8885725 
 
 832 
 
 6-7238324 
 
 882 
 
 6-7821921 
 
 932 
 
 6-8373328 
 
 982 
 
 6-8895913 
 
 833 
 
 6-7250336 
 
 883 
 
 6-7833252 
 
 933 
 
 6-8384052 
 
 983 
 
 6-8906091 
 
 834 
 
 6-7262334 
 
 884 
 
 6-7844571 
 
 934 
 
 6-8394764 
 
 984 
 
 6-8916259 
 
 835 
 
 6-7274317 
 
 885 
 
 6-7855876 
 
 935 
 
 6-8405465 
 
 985 
 
 6-8926416 
 
 836 
 
 6-7286286 
 
 886 
 
 6-7867170 
 
 936 
 
 6-8416155 
 
 986 
 
 6-8936564 
 
 .837 
 
 6-7298241 
 
 887 
 
 6-7878450 
 
 937 
 
 6-8426833 
 
 987 
 
 6-8946700 
 
 838 
 
 6-7310181 
 
 888 
 
 6-7889717 
 
 938 
 
 6-8437499 
 
 988 
 
 6-8956827 
 
 839 
 
 6-7322107 
 
 889 
 
 6-7900972 
 
 939 
 
 6-8448155 
 
 989 
 
 6-8966943 
 
 840 
 
 6-7334019 
 
 890 
 
 6-7912215 
 
 940 
 
 6-8458799 
 
 990 
 
 6-8977049 
 
 841 
 
 6-7345917 
 
 891 
 
 6-7923444 
 
 941 
 
 6-8469431 
 
 991 
 
 6-8987145 
 
 842 
 
 6-7357800 
 
 892 
 
 6-7934661 
 
 942 
 
 6-8480053 
 
 992 
 
 6-8997231 
 
 843 
 
 6-7369670 
 
 893 
 
 6-7945866 
 
 943 
 
 6-8490663 
 
 993 
 
 6-9007307 
 
 844 
 
 6-7381525 
 
 894 
 
 6-7957058 
 
 944 
 
 6-8501262 
 
 994 
 
 6-9017372 
 
 845 
 
 6-7393366 
 
 895 
 
 6-7968237 
 
 945 
 
 6-8511849 
 
 995 
 
 6-9027427 
 
 846 
 
 6-7405194 
 
 896 
 
 6-7979404. 
 
 946 
 
 6-8522420 
 
 996 
 
 6-9037473 
 
 847 
 
 6-7417007 
 
 897 
 
 6-7990559 
 
 947 
 
 6-8532991 
 
 997 
 
 6-9047508 
 
 848 
 
 6-7428806 
 
 898 
 
 6-8001701 
 
 948 
 
 6-8543545 
 
 998 
 
 6-9057533 
 
 849 
 
 6-7440592 
 
 899 
 
 6-8012830 
 
 949 
 
 6-8554088 
 
 999 
 
 6-9067548 
 
 85.0 
 
 6-7452363 
 
 900 
 
 6-8023948 
 
 950 
 
 6-8564620 
 
 1000 
 
 6-9077553 
 
 
 
 
 
 
 3 
 
 h* 
 
 
(218)* HYPERBOLIC LOGARITHMS. Tab. 8.* 
 
 N. 
 
 1001 
 
 Logar. 
 
 N. 
 
 1051 
 
 Logar. 
 
 N. 
 
 1101 
 
 Logar. 
 
 N. 
 
 1151 
 
 Logar. 
 
 6-9087548 
 
 6-9574974 
 
 7-0039741 
 
 7-0483864 
 
 1002 
 
 6-9097533 
 
 1052 
 
 6-9584484 
 
 1102 
 
 7-0048820 
 
 1152 
 
 7-0492348 
 
 1003 
 
 6-9107508 
 
 1053 
 
 6-9593985 
 
 1103 
 
 7-0057890 
 
 1153 
 
 7 0501225 
 
 1001- 
 
 6-9117473 
 
 1054 
 
 6-9603477 
 
 1104 
 
 7-0066952 
 
 1154 
 
 7-0509894 
 
 1005 
 
 6-9127428 
 
 1055 
 
 6-9612960 
 
 1105 
 
 7-0076006 
 
 1155 
 
 7-0518556 
 
 1006 
 
 6-9137374 
 
 1056 
 
 6-9622435 
 
 1106 
 
 7-0085052 
 
 1156 
 
 7-0527210 
 
 1007 
 
 6-9147309 
 
 1057 
 
 6 9631900 
 
 1107 
 
 7-0094089 
 
 1157 
 
 7-0535857 
 
 1008 
 
 6-9157234 
 
 1058 
 
 6-9641356 
 
 1108 
 
 7-0103119 
 
 1158 
 
 7-0544497 
 
 1009 
 
 6-9167150 
 
 1059 
 
 6-9650803 
 
 1109 
 
 7-0112140 
 
 1159 
 
 7-0553128 
 
 1010 
 
 6-9177056 
 
 1060 
 
 6-9660242 
 
 1110 
 
 7-0121153 
 
 1160 
 
 7-0561753 
 
 1011 
 
 6-9186952 
 
 1061 
 
 6-9669671 
 
 1111 
 
 7-0130158 
 
 4161 
 
 7-0570370 
 
 1012 
 
 6-9196838 
 
 1062 
 
 6-9679092 
 
 1112 
 
 7-0139155 
 
 1162 
 
 7-0578979 
 
 1013 
 
 6-9206715 
 
 1063 
 
 6-9688504 
 
 1113 
 
 7-0148144 
 
 1163 
 
 7-0587582 
 
 1014. 
 
 6-9216582 
 
 1064 
 
 6-9697907 
 
 1114 
 
 7-0157124 
 
 1164 
 
 70596176 
 
 1015 
 
 6-9226439 
 
 1065 
 
 6-9707301 
 
 1115 
 
 7-0166097 
 
 1165 
 
 7-0604764 
 
 1016 
 
 6-9236286 
 
 1066 
 
 6-9716686 
 
 1116 
 
 7-0175061 
 
 1166 
 
 7-0613344 
 
 1017 
 
 6-9246124 
 
 1067 
 
 6-9726063 
 
 1117 
 
 7-0184018 
 
 1167 
 
 7-0621916 
 
 1018 
 
 6-9255952 
 
 1068 
 
 6-9735430 
 
 1118 
 
 70192967 
 
 1168 
 
 7-0630482 
 
 1019 
 
 6-9265770 
 
 1069 
 
 6-9744789 
 
 1119 
 
 7-0201907 
 
 1169 
 
 7-0639040 
 
 1020 
 
 6-9275579 
 
 1070 
 
 6-9754139 
 
 1120 
 
 7-0210840 
 
 1170 
 
 7-0647590 
 
 1021 
 
 6-9285378 
 
 1071 
 
 6-9763481 
 
 1121 
 
 7-0219764 
 
 1171 
 
 7-0656134 
 
 1022 
 
 6-9295168 
 
 1072 
 
 6-9772813 
 
 1122 
 
 7-0228681 
 
 1172 
 
 7 0664670 
 
 1023 
 
 6-9304948 
 
 1073 
 
 6-9782137 
 
 1123 
 
 7-0237590 
 
 1173 
 
 7-0673198 
 
 102i 
 
 6-9314718 
 
 1074 
 
 6-9791453 
 
 1124 
 
 7-02i649O 
 
 1174 
 
 7-0681720 
 
 1025 
 
 6-9324479 
 
 1075 
 
 6-9800759 
 
 1125 
 
 7-0255383 
 
 1175 
 
 7-0690234 
 
 1026 
 
 6-9334230 
 
 1076 
 
 6-9810057 
 
 1126 
 
 7-0264268 
 
 1176 
 
 7-0698741 
 
 1027 
 
 6-9343972 
 
 1077 
 
 6-9819347 
 
 1127 
 
 7 0273145 
 
 1177 
 
 7-0707241 
 
 1028 
 
 6-9353704 
 
 1078 
 
 6-9828628 
 
 1128 
 
 7-0282014 
 
 1178 
 
 7-0715734 
 
 1029 
 
 6-9363427 
 
 1079 
 
 6-9837900 
 
 1129 
 
 7-0290876 
 
 1179 
 
 7-0724219 
 
 1030 
 
 6-9373141 
 
 1080 
 
 6-9847163 
 
 1130 
 
 7-0299729 
 
 1180 
 
 7-0732697 
 
 1031 
 
 6-9382845 
 
 1081 
 
 6-9856418 
 
 1131 
 
 7-0308575 
 
 1181 
 
 7-0741168 
 
 1032 
 
 6-9392539 
 
 1082 
 
 6-9865665 
 
 1132 
 
 7 0317413 
 
 1182 
 
 7-0749632 
 
 1033 
 
 6-9402225 
 
 1083 
 
 6-9874902 
 
 1133 
 
 7-0326243 
 
 1183 
 
 7-0758089 
 
 1034 
 
 6941 1901 
 
 1084 
 
 6-9884132 
 
 1131- 
 
 7-0335065 
 
 1184 
 
 70766538 
 
 1035 
 
 6-9421567 
 
 1085 
 
 6-9893353 
 
 1135 
 
 7-0343879 
 
 1185 
 
 7-0774981 
 
 1036 
 
 6-9431224 
 
 1086 
 
 6-9902565 
 
 1136 
 
 7-0352686 
 
 1186 
 
 7-0783416 
 
 1037 
 
 6-9440872 
 
 1087 
 
 6-9911769 
 
 1137 
 
 7-0361483 
 
 1187 
 
 7-0791844 
 
 1038 
 
 6-9450511 
 
 1088 
 
 6-9920964 
 
 1138 
 
 7-0370276 
 
 1188 
 
 7-0800265 
 
 1039 
 
 6-9460140 
 
 1 039 
 
 6-9930151 
 
 1139 
 
 7-0379060 
 
 1189 
 
 7-0808679 
 
 1040 
 
 6-9469760 
 
 1090 
 
 6-9939330 
 
 1140 
 
 7-0387835 
 
 1190 
 
 7-0817086 
 
 1041 
 
 6-9479371 
 
 1091 
 
 6-9948500 
 
 1141 
 
 7 0396603 
 
 1191 
 
 7-0825486 
 
 1042 
 
 6-9488972 
 
 1092- 
 
 6-9957662 
 
 1142 
 
 7-0405364 
 
 1192 
 
 7-0833878 
 
 1043 
 
 6-949856.5 
 
 1093 
 
 6-9966815 
 
 1143 
 
 7-0414117 
 
 1193 
 
 7-0842264 
 
 10 H 
 
 6-9508148 
 
 1094 
 
 6-9973960 
 
 1144 
 
 7-0422802 
 
 1194 
 
 7 '0850643 
 
 1045 
 
 6-9517722 
 
 1095 
 
 0-9985096 
 
 1145 
 
 7-0431599 
 
 1195 
 
 7-0859015 
 
 1046 
 
 6 9527286 
 
 1096 
 
 6-9994225 
 
 1146 
 
 7-0440329 
 
 1196 
 
 7-0867379 
 
 1047 
 
 6-9536842 
 
 1097 
 
 7-0003345 
 
 1 147 
 
 7-041.9051 
 
 1197 
 
 7-0875737 
 
 1048 
 
 6-95 16389 
 
 1098 
 
 7-0012456 
 
 1148 
 
 7-0457706 
 
 1198 
 
 70884088 
 
 1049 
 
 6-9555926 
 
 1099 
 
 7-0021160 
 
 1149 
 
 7-0466473 
 
 1199 
 
 70892432 
 
 1050 
 
 6-9565454 
 
 1100 
 
 7-0030655 
 
 1150 
 
 7-0475172 
 
 1200 
 
 7-0900768 
 
Tab. 8. 
 
 LOGISTIC LOGARITHMS. 
 
 (212) 
 
 3-556'3 
 
 3-2553 
 
 3-0792 
 
 2-9542 
 
 2-8573 
 
 2-7782 
 
 2-7112 
 
 2-6532 
 
 2-6021 
 
 2-5563 
 
 2-5149 
 
 2-4771 
 
 2-4424 
 
 2-4102 
 
 2-3802 
 
 2-3522 
 
 2-3259 
 
 2-3010 
 
 2-2775 
 
 2-2553 
 
 2-2341 
 
 2-2139 
 
 2-1946 
 
 2.1761 
 
 2-1584 
 
 2-1413 
 
 2-1249 
 
 2-1091 
 
 2r0939 
 
 2-0792 
 
 2-0649 
 
 2-0512 
 
 2-0378 
 
 2-0248 
 
 2-0122 
 
 2-0000 
 
 i-9881 
 
 1-9765 
 
 1-9652 
 
 1 -9542 
 
 1-943 
 
 i-9331 
 
 1-9228 
 
 1-9128 
 
 1-9031 
 
 1-893.= 
 
 1-8842 
 
 1-875 
 
 1-8661 
 
 1-8573 
 
 1-8487 
 
 1-8403 
 
 1 -8320 
 
 1-8239 
 
 1-81 
 
 1-8081 
 
 1-8004 
 
 1-7929 
 
 1-7855 
 
 1-7782 
 
 60 
 
 1-7782 
 1-7710 
 1-7639 
 1-7570 
 1-7501 
 1-7434 
 1-7368 
 1-7302 
 1-7238 
 1-7175 
 1-7112 
 1-7050 
 1-6990 
 1-6930 
 1-6871 
 1-6812 
 
 1-6755 
 1-6698 
 1-6642 
 1-6587 
 1-6532 
 1-6478 
 1-6425 
 1-6372 
 1,-6320 
 1-6269 
 1-6218 
 
 6168 
 1-6118 
 
 6069 
 1-6021 
 1-5973 
 1-5925 
 878 
 1-5832 
 1-5786 
 1-5740 
 1-5695 
 1-5651 
 1-5607 
 1-5563 
 
 5520 
 5477 
 5435 
 5393 
 5351 
 5310 
 5269 
 5229 
 5189 
 5149 
 
 I'SIIO 
 
 1-5071 
 
 1-5032 
 
 1-4994 
 
 1-4956 
 
 1-491 
 
 1-488 
 
 1-4844 
 
 1-4808 
 
 1-4771 
 
 120 
 
 1-4771 
 1 -4735 
 1 -4699 
 1-4664 
 1-4629 
 1-4594 
 1-4559 
 1-4525 
 1-4491 
 1-4457 
 1-4424 
 1-4390 
 1-4357 
 1-4326 
 1-4292 
 1 -4260 
 1-4228 
 1-4196 
 1-4165 
 1-4133 
 1-4102 
 1-4071 
 1-4040 
 1-4010 
 1-3979 
 1-3949 
 
 1-3919 
 1-3890 
 1-3860 
 1-3831 
 1-3802 
 1-3773 
 1-3745 
 1-3716 
 1-3688 
 1-3660 
 1 -3632 
 1-3604 
 1-3576 
 1-3549 
 1-3522 
 1-3495 
 1-3468 
 1-3441 
 1-3415 
 1-3388 
 1-3362 
 1-3336 
 1-3310 
 1-3284 
 1-3259 
 1-3233 
 1-3208 
 1-3183 
 1-3158 
 1-3133 
 i-3108 
 1-3083 
 1-3059 
 1-3034 
 1-3010 
 
 8 
 
 180 
 
 1-3010 
 1-2986 
 1-2962 
 1-2939 
 1-2915 
 1-2891 
 1-2868 
 1-2845 
 1-2821 
 1-2798 
 1-2775 
 1-2753 
 1-2730 
 1-2707 
 1-2685 
 1-2663 
 1-2640 
 1-2618 
 1-2596 
 1-2574 
 1-2553 
 1-2531 
 1-2510 
 1-2488 
 h'2467 
 1-2445 
 1-2424 
 1-2403 
 1-2382 
 1-2362 
 1-2341 
 1-2320 
 1-2300 
 1-2279 
 1-2259 
 1-2239 
 1-^2218 
 1-2198 
 1-2178 
 1-2159 
 1-2139 
 1-2119 
 1-2099 
 1-2080 
 1-2061 
 1-2041 
 1-2022 
 1-2003 
 1-1984 
 1-1965 
 1-1946 
 
 1-1927 
 
 1-1908 
 
 1-1889 
 
 1-187 
 
 1-1852 
 
 1-1834 
 
 1-1816 
 
 1-1797 
 
 1-1779 
 
 1-1761 
 
 240 
 
 1-1761 
 1-1743 
 1-1725 
 1-1707 
 1-1689 
 1-1671 
 1-1654 
 1-1636 
 1-1619 
 1-1601 
 1-1584 
 1-1566 
 1-1549 
 1-1532 
 1 1515 
 1-1498 
 1-1481 
 1-1464 
 1-1447 
 1-1430 
 1-1413 
 
 1-1397 
 1-1380 
 1363 
 1-1347 
 1-1331 
 
 1-1314 
 
 1-1298 
 
 1-1282 
 
 1-1266 
 
 1-1249 
 
 1-1233 
 
 1-1217 
 
 1-1201 
 
 1-1186 
 
 1-1170 
 
 1-1154 
 
 1138 
 
 1123 
 
 1107 
 
 1091 
 
 I 
 
 1 
 
 1 
 
 1 
 
 1-1076 
 
 1-1061 
 
 1-1045 
 
 1-1030 
 
 1-1015 
 
 1-0999 
 
 1-0984 
 
 1-0969 
 
 1-0954 
 
 1-0939 
 
 1-0924 
 
 1-0909 
 
 1-0894 
 
 1-0880 
 
 1-086 
 
 1-0850 
 
 1-0835 
 
 1-0821 
 
 1-0806 
 
 1-0792 
 
 300 
 
 1-0792 
 1-0777 
 1-0763 
 1-0749 
 1-0734 
 1-0720 
 1-0706 
 1-0692 
 I -0678 
 
 6_ 
 
 360 
 
 0000 
 9988 
 9976 
 9964 
 9952 
 9940 
 9928 
 9916 
 9905 
 
 1-066319893 
 
 1-0649 9881 
 
 1-0635 
 
 1-0621 
 
 1-0608 
 
 1-0594 
 
 1-0580 
 
 1-0566 
 
 1-0552 
 
 1-0539 
 
 1-0525 
 
 1-0512 
 
 1-0498 
 
 1-0484 
 
 1-0471 
 
 1-0458 
 
 1-0444 
 
 1-0431 
 
 1-0418 
 
 1-0404 
 
 1-0391 
 
 1-0378 
 
 1-0365 
 
 1-0352 
 
 1-0339 
 
 1-0326 
 
 1-0313 
 
 1-0300 
 
 1-0287 
 
 1 -0274 
 
 1-0261 
 
 1-0248 
 
 1-0235 
 
 1-0223 
 
 1-0210 
 
 1-0197 
 
 1-0185 
 
 1-0172 
 
 1-0160 
 
 1-0147 
 
 1-0135 
 
 1-0122 
 
 l-OllO 
 
 1-0098 
 
 1-0085 
 
 1-0073 
 
 1-0061 
 
 1-0049 
 
 1-0036 
 
 1 -0024 
 
 1-0012 
 
 1-0000 
 
 9869 9218 
 9858 9208 
 98469198 
 
 420 
 
 9331 
 9320 
 9310 
 9300 
 9289 
 9279 
 
 8751 
 
 8742 
 8733 
 8724 
 8715 
 8706 
 
 9269 8697 
 
 9259 
 9249 
 9238 
 9228 
 
 8688 
 8679 
 8670 
 8661 
 
 9834 
 9823 
 9811 
 9800 
 9788 
 9777 
 9765 
 9754 
 9742 
 9731 
 9720 
 9708 
 9697 
 9686 
 9675 
 9664 
 9652 
 9641 
 9630 
 9619 
 9608 
 9597 
 9586 
 9575 
 9564 
 9553 
 9542 
 9532 
 9521 
 9510 
 9499 
 9488 
 9478 
 9467 
 9456 
 9446 
 9435 
 9425 
 9414 
 9404 
 9393 
 9383 
 9372 
 9362 
 9351 
 9341 
 9331 
 
 9188 
 91 
 
 8652 
 8643 
 8635 
 8626 
 788617 
 
 9168 
 9158 
 9148 
 9138 
 9128 
 9119 
 9109 
 9099 
 9089 
 9079 
 9070 
 9060 
 9050 
 9041 
 9031 
 9021 
 9012 
 9002 
 8992 
 8983 
 
 8973 
 8964 
 8954 
 8945 
 8935 
 8926 
 8917 
 8907 
 
 8879 
 8870 
 8861 
 8851 
 8842 
 8833 
 8824 
 8814 
 8805 
 8796 
 8787 
 8778 
 8769 
 8760 
 8751 
 
 8 
 
 480 
 
 8608 
 8599 
 8591 
 8582 
 8573 
 8565 
 8556 
 8547 
 8539 
 8530 
 8522 
 8513 
 8504 
 8496 
 8487 
 8479 
 8470 
 8462 
 8453 
 8445 
 8437 
 8428 
 8420 
 8411 
 8403 
 8395 
 8386 
 8378 
 8370 
 8361 
 8353 
 8345 
 8337 
 8328 
 8320 
 8312 
 8304 
 8296 
 8288 
 8279 
 
 8271 
 8263 
 8255 
 8247 
 8239 
 
 540 
 
 8239 
 8231 
 8223 
 8215 
 8207 
 8199 
 8191 
 8183 
 75 
 8167 
 8169 
 8152 
 8144 
 8136 
 8128 
 8120 
 8112 
 8104 
 8097 
 8089 
 8081 
 
 8073 
 8066 
 8058 
 8050 
 8043 
 
 10 
 
 600 
 
 7782 
 7774 
 7767 
 7760 
 7753 
 7745 
 
 7738 
 7731 
 7724 
 7717 
 7710 
 7703 
 7698 
 7688 
 7681 
 7674 
 7667 
 7660 
 7653 
 7646 
 7639 
 7632 
 7626 
 7618 
 7611 
 7604 
 
 8035 7597 
 
 8027 
 8020 
 8012 
 8004 
 7997 
 7989 
 7981 
 7974 
 7966 
 7959 
 7951 
 7944 
 7936 
 7929 
 7921 
 7914 
 7906 
 7899 
 7891 
 
 7884 
 7877 
 7869 
 7862 
 7855 
 
 7847 
 7840 
 7832 
 7825 
 7818 
 7811 
 7803 
 7796 
 7789 
 7782 
 
 7590 
 7583 
 7577 
 7570 
 
 7563 
 7556 
 7549 
 7542 
 7535 
 
 7528 
 
 7522 
 
 751 
 
 7508 
 
 7501 
 
 7494 
 
 7488 
 
 7481 
 
 7474 
 
 7467 
 
 7461 
 
 7454 
 
 7447 
 
 7441 
 
 7434 
 
 7427 
 7421 
 7414 
 7407 
 7401 
 7394 
 7387 
 7381 
 7374 
 7368 
 
 11 
 
 660 
 
 7368 
 7361 
 7354 
 7348 
 7341 
 7335 
 7328 
 7322 
 7315 
 7309 
 7302 
 
 7296 
 7289 
 7283 
 7276 
 7270 
 7264 
 7257 
 7251 
 7244 
 7238 
 7232 
 7225 
 7219 
 7212 
 7206 
 7200 
 7193 
 7187 
 7181 
 7175 
 7168 
 7162 
 7156 
 7149 
 7143 
 7137 
 7131 
 7124 
 7118 
 7112 
 
 7106 
 7100 
 7093 
 7087 
 7081 
 7075 
 7069 
 7063 
 7057 
 7050 
 7044 
 7038 
 7032 
 7026 
 7020 
 7014 
 7008 
 7002 
 6996 
 6990 
 
 12 
 
 720 
 
 6990 
 6984 
 6978 
 6972 
 6966 
 6960 
 6954 
 6948 
 6942 
 6936 
 6930 
 6924 
 6918 
 6912 
 6906 
 6900 
 6894 
 6888 
 6882 
 6877 
 6871 
 
 6865 
 6859 
 6853 
 6847 
 6841 
 6836 
 6830 
 6824 
 6818 
 6812 
 
 6807 
 6801 
 6795 
 6789 
 6784 
 6778 
 6772 
 6766 
 676} 
 6755 
 6749 
 6743 
 6738 
 6732 
 6726 
 6721 
 6715 
 6709 
 6704 
 6698 
 6692 
 6687 
 6681 
 6676 
 6670 
 6664 
 6659 
 6663 
 6648 
 6642 
 
 3 E*SI 
 
(213) 
 
 LOGISTIC LOGARITHMS. 
 
 Tab. 8. 
 
 ' 13 14 15 Ui 17 18 19 20 21 22 23 24 25 26. 27 
 
 6642 
 6637 
 6631 
 6625 
 4 6620 
 6614 
 
 780 
 
 6609 
 6603 
 6598 
 6592 
 6587 
 6581 
 6576 
 6570 
 6565 
 6559 
 
 6554 
 6548 
 6543 
 6538 
 6532 
 
 6527 
 6521 
 6516 
 6510 
 6505 
 6500 
 6494 
 6489 
 6484 
 6478 
 6473 
 6467 
 6462 
 6457 
 6451 
 6446 
 6441 
 6435 
 6430 
 6425 
 6420 
 6414 
 6409 
 6404 
 6398 
 
 6393 
 
 6388 
 6383 
 49 6377 
 
 6372 
 6367 
 6362 
 6357 
 6351 
 6346 
 6341 
 
 57 6336 
 
 6331 
 6325 
 6'320 
 
 840 
 
 6320 
 6315 
 6310 
 6305 
 6300 
 6294 
 6289 
 6284 
 6279 
 6274 
 6269 
 6264 
 6259 
 6254 
 6248 
 6243 
 6238 
 6233 
 6228 
 6223 
 6218 
 
 6213 
 6208 
 6203 
 6198 
 6193 
 6188 
 6183 
 6178 
 6173 
 6168 
 6163 
 6158 
 6153 
 6148 
 6143 
 6138 
 6133 
 6128 
 6123 
 6118 
 6113 
 6108 
 6103 
 6099 
 6094 
 
 6089 
 
 6084 
 
 6079 
 
 6074 
 
 6069 
 
 6064 
 
 6059 
 
 6055 
 
 6050 
 
 6045 
 
 6040 
 
 6035 
 
 ^030 
 
 602 
 
 602 
 
 900 
 
 6021 
 
 6016 
 
 601 
 
 6006 
 
 6001 
 
 5997 
 
 5992 
 
 5987 
 
 5982 
 
 5977 
 
 5973 
 
 5968 
 
 5963 
 
 5958 
 
 5954 
 
 5949 
 
 5944 5669 
 
 5939 
 5935 
 5930 
 5925 
 5920 
 5916 
 5911 
 5906 
 5902 
 
 5897 
 5892 
 5888 
 5883 
 5878 
 5874 
 5869 
 5864 
 5860 
 5855 
 5850 
 5846 
 5841 
 6836 
 5832 
 5827 
 5823 
 5818 
 5813 
 5809 
 5804 
 5800 
 5795 
 5790 
 5786 
 5781 
 5777 
 5772 
 5768 
 5763 
 5758 
 5754 
 5749 
 6745 
 5740 
 
 960 
 
 5740 
 5736 
 5731 
 5727 
 5722 
 5718 
 5713 
 5709 
 5704 
 5700 
 5695 
 5691 
 5686 
 5682 
 5677 
 5673 
 
 5664 
 5660 
 5655 
 5651 
 5646 
 5642 
 5637 
 5633 
 5629 
 5624 
 5620 
 5615 
 5611 
 5607 
 5602 
 5598 
 5594 
 5589 
 5585 
 5580 
 5576 
 5572 
 5567 
 5563 
 5559 
 5554 
 5650 
 5546 
 5541 
 
 5537 
 6533 
 5528 
 5624 
 5520 
 5516 
 5511 
 5507 
 5503 
 5498 
 5494 
 5490 
 5486 
 5481 
 477 
 
 1020 
 
 5477 
 5473 
 5469 
 5464 
 5460 
 5456 
 5452 
 5447 
 5443 
 5439 
 5435 
 5430 
 5426 
 5422 
 5418 
 5414 
 5409 
 5405 
 5401 
 5397 
 5393 
 
 5389 
 5384 
 5380 
 5376 
 5372 
 
 5368 
 5364 
 5359 
 5355 
 5351 
 
 5347 
 5343 
 5339 
 5335 
 5331 
 5326 
 5322 
 5318 
 5314 
 5310 
 
 5306 
 5302 
 5298 
 5294 
 5290 
 5285 
 5281 
 5277 
 5273 
 5269 
 5265 
 
 261 
 5257 
 5253 
 5249 
 5245 
 5241 
 5237 
 5233 
 5229 
 
 rrrrr. 
 
 1080 
 
 5229 
 5225 
 5221 
 5217 
 5213 
 5209 
 5205 
 5201 
 5197 
 5193 
 5189 
 
 5185 
 5181 
 5177 
 5173 
 5169 
 
 5165 
 5161 
 5157 
 5153 
 5149 
 5145 
 5141 
 5137 
 5133 
 5129 
 5125 
 5122 
 5118 
 5114 
 5110 
 
 5106 
 5102 
 5098 
 5094 
 5090 
 
 5086 
 5082 
 5079 
 5075 
 5071 
 5067 
 5063 
 5059 
 5055 
 5051 
 5048 
 5044 
 5040 
 5036 
 5032 
 5028 
 5025 
 5021 
 5017 
 5013 
 5009 
 5005 
 5002 
 4998 
 4994 
 
 140 
 
 4994 
 4990 
 4986 
 4983 
 4979 
 4975 
 4971 
 4967 
 4964 
 4960 
 4956 
 4952 
 4949 
 4945 
 4941 
 4937 
 4933 
 4930 
 4926 
 4922 
 4918 
 4915 
 4911 
 4907 
 490i 
 4900 
 4896 
 4892 
 4889 
 4885 
 4881 
 
 4877 
 4874 
 4870 
 4866 
 4863 
 4859 
 4855 
 4852 
 4848 
 4844 
 4841 
 4837 
 4833 
 4830 
 4826 
 4822 
 4819 
 4815 
 481! 
 4808 
 4804 
 4800 
 4797 
 4793 
 4789 
 4786 
 4782 
 4778 
 4775 
 4771 
 
 1200 
 
 4771 
 
 4768 
 
 4764 
 
 4760 
 
 4757 
 
 4753 
 
 4750 
 
 4746 
 
 4742 
 
 4739 
 
 4735 
 
 4732 
 
 4728 
 
 4724 
 
 4721 
 
 4717 
 
 4714 
 
 4710 
 
 4707 
 
 4703 
 
 4699 
 
 4696 
 
 4692 
 
 4689 
 
 468 
 
 4682 
 
 4678 
 4675 
 4671 
 4668 
 4664 
 
 4660 
 4657 
 4653 
 4650 
 4646 
 4643 
 4639 
 4636 
 4632 
 4629 
 4625 
 4622 
 4618 
 4615 
 4611 
 
 4608 
 4604 
 4601 
 4597 
 4594 
 
 4590 
 
 4587 
 4584 
 4580 
 4577 
 
 4573 
 4570 
 4566 
 4563 
 4559 
 
 1260 
 
 4559 
 4556 
 4552 
 4549 
 4546 
 4542 
 
 4539 
 4535 
 4532 
 4528 
 4525 
 4522 
 4518 
 4515 
 4511 
 4508 
 4605 
 4501 
 4498 
 4494 
 4491 
 
 4488 
 4484 
 4481 
 4477 
 4474 
 4471 
 4467 
 4464 
 4460 
 4467 
 4454 
 4450 
 4447 
 4444 
 4440 
 4437 
 4434 
 4430 
 4427 
 4424 
 
 4420 
 4417 
 4414 
 4410 
 4407 
 4404 
 4400 
 4397 
 4394 
 4390 
 
 4387 
 4384 
 4380 
 4377 
 4374 
 4370 
 4367 
 4364 
 4361 
 43571 
 
 1320 
 
 4357 
 
 4354 
 
 4351 
 
 4347 
 
 4344 
 
 4341 
 
 4338 
 
 4334 
 
 433 
 
 4328 
 
 4325 
 
 4321 
 
 4318 
 
 4315 
 
 4311 
 
 4308 
 
 4306 
 
 4302 
 
 4298 
 
 4295 
 
 4292 
 
 4289 
 
 4285 
 
 4282 
 
 4279 
 
 4276 
 
 4273 
 
 4269 
 
 4266 
 
 4263 
 
 4260 
 
 4256 
 4253 
 4250 
 4247 
 4244 
 4240 
 4237 
 4234 
 4231 
 4228 
 4224 
 4221 
 4218 
 4215 
 4212 
 4209 
 4205 
 4202 
 4199 
 4196 
 4193 
 4189 
 4186 
 4183 
 4180 
 
 4177 
 4174 
 4171 
 4167 
 4164 
 
 380 
 
 4164 
 4161 
 4158 
 4155 
 4152 
 4149 
 4145 
 4142 
 4139 
 4136 
 4133 
 4130 
 4127 
 4124 
 4120 
 4117 
 4114 
 4111 
 4108 
 4105 
 4102 
 
 4099 
 4096 
 4092 
 40^9 
 4086 
 4083 
 4080 
 4077 
 4074 
 4071 
 4068 
 4065 
 4062 
 4059 
 4055 
 4052 
 4049 
 4046 
 4043 
 4040 
 
 4037 
 4034 
 4031 
 4028 
 4025 
 4022 
 4019 
 4016 
 4013 
 4010 
 4007 
 4004 
 4001 
 3998 
 3995 
 3991 
 3988 
 3985 
 3982 
 3979 
 
 1440 
 
 3979 
 3976 
 3973 
 3970 
 3967 
 3964 
 3961 
 3958 
 3955 
 3952 
 3949 
 3946 
 3943 
 3940 
 3937 
 3934 
 3931 
 3928 
 3925 
 3922 
 3919 
 
 3917 
 3914 
 3911 
 3908 
 3905 
 3902 
 3899 
 3896 
 3893 
 3890 
 3887 
 3884 
 3881 
 3878 
 3875 
 3872 
 3869 
 3866 
 3863 
 3860 
 
 3867 
 3855 
 3852 
 3849 
 3846 
 3843 
 3840 
 3837 
 3834 
 3831 
 
 3828 
 3825 
 3822 
 3820 
 3817 
 3814 
 3811 
 3808 
 3805 
 3802 
 
 1500 
 
 3802 
 
 3799 
 
 3796 
 
 3793 
 
 3791 
 
 3788 
 
 3 
 
 3782 
 
 3779 
 
 3776 
 
 3773 
 
 3770 
 
 3768 
 
 3766 
 
 3762 
 
 3759 
 
 3756 
 
 3753 
 
 3750 
 
 3747 
 
 3745 
 
 3742 
 
 3739 
 
 3736 
 
 3733 
 
 3730 
 
 3727 
 3725 
 3722 
 3719 
 3716 
 3713 
 3710 
 3708 
 3706 
 3702 
 
 3699 
 3696 
 3693 
 3691 
 3688 
 3685 
 3682 
 3679 
 3677 
 3674 
 
 3671 
 3668 
 3666 
 3663 
 3660 
 3657 
 3654 
 3651 
 3649 
 3646 
 3643 
 3640 
 3637 
 3635 
 3632 
 
 1560 
 3632 
 3629 
 3626 
 3623 
 3621 
 3618 
 3615 
 3612 
 3610 
 3607 
 3604 
 3601 
 3598 
 3596 
 3593 
 3590 
 
 3687 
 3585 
 3582 
 3579 
 3576 
 3674 
 3571 
 3568 
 3566 
 3563 
 3560 
 3657 
 3555 
 3552 
 3549 
 3546 
 3544 
 3641 
 3638 
 3535 
 3533 
 3530 
 3527 
 3525 
 3522 
 3519 
 3516 
 3514 
 3511 
 3508 
 3506 
 3503 
 3500 
 3497 
 3495 
 3492 
 3489 
 3487 
 3484 
 3481 
 3479 
 3476 
 3473 
 3471 
 3468 
 
 1620 
 34(«8 
 3465 
 3463 
 3460 
 3467 
 3454 
 3462 
 3449 
 3446 
 3444 
 3441 
 3438 
 3436 
 3433 
 3431 
 3428 
 3426 
 3423 
 3420 
 3417 
 3415 
 3412 
 3409 
 3407 
 3404 
 3401 
 3399 
 3396 
 3393 
 3391 
 3388 
 3386 
 3383 
 3380 
 3378 
 3375 
 3372 
 3370 
 3367 
 3365 
 3362 
 3359 
 3357 
 3354 
 3351 
 3349 
 3346 
 3344 
 3341 
 3338 
 3336 
 3333 
 3331 
 3328 
 3325 
 3323 
 3320 
 3318 
 3315 
 3313 
 3310 
 
Tab. 8. 
 
 LOGISTIC LOGARITHMS. 
 
 (214) 
 
 ' 2S 
 
 29 
 
 30 
 
 31 
 
 32 
 
 33 
 
 34 
 
 35 
 
 36 
 
 37 
 
 38 
 
 39 
 
 40 
 
 41 
 
 42 
 
 1680 
 
 1740 
 
 1800 
 
 18b'0 
 
 1920 
 
 1930 
 
 2040 
 
 2100 
 
 21o0 
 
 2220 
 
 2280 
 
 2340 
 
 2400 
 
 2460 
 
 2520 
 
 
 1 
 
 2 
 3 
 4 
 5 
 6 
 7 
 8 
 9 
 10 
 II 
 12 
 13 
 14 
 15 
 16 
 17 
 18 
 19 
 20 
 21 
 22 
 23 
 24 
 25 
 26 
 27 
 28 
 29 
 30 
 31 
 32 
 33 
 34 
 35 
 36 
 37 
 38 
 39 
 40 
 41 
 42 
 43 
 44 
 45 
 46 
 47 
 48 
 49 
 50 
 51 
 52 
 53 
 54 
 55 
 56 
 57 
 58 
 59 
 60 
 
 3310 
 3307 
 3305 
 3302 
 300 
 3297 
 3294 
 3292 
 3289 
 3287 
 3284 
 
 3282 
 3279 
 3276 
 3274 
 3271 
 3269 
 3266 
 3264 
 3261 
 3259 
 3256 
 3253 
 3251 
 3248 
 3246 
 
 3243 
 3241 
 3238 
 3236 
 3233 
 3231 
 3228 
 3225 
 3223 
 3220 
 
 3218 
 3215 
 3213 
 3210 
 3208 
 3205 
 3203 
 3100 
 3198 
 3195 
 3193 
 3190 
 3188 
 5185 
 3183 
 3180 
 3178 
 3175 
 3173 
 3170 
 3168 
 3165 
 3163 
 3160 
 3158 
 
 3158 
 3155 
 3153 
 3150 
 3148 
 3145 
 3143 
 3140 
 3138 
 3135 
 3133 
 3130 
 3128 
 3125 
 3123 
 3120 
 3118 
 3115 
 3113 
 3110 
 3108 
 3105 
 3103 
 3101 
 3098 
 3096 
 
 3093 
 3091 
 3088 
 3086 
 3083 
 3081 
 3078 
 3076 
 3073 
 3071 
 3069 
 3066 
 3064 
 3061 
 3059 
 3056 
 3054 
 3052 
 3049 
 3047 
 3044 
 3042 
 3039 
 3037 
 3034 
 
 3032 
 3030 
 3027 
 3025 
 3022 
 
 3020 
 3018 
 3015 
 3013 
 3010 
 
 3010 
 3008 
 3005 
 3003 
 3001 
 2998 
 2996 
 2993 
 2991 
 2989 
 2986 
 2984 
 2981 
 2979 
 2977 
 2974 
 2972 
 2969 
 2967 
 2965 
 2962 
 2960 
 2958 
 2955 
 2953 
 2950 
 
 2948 
 2946 
 2943 
 2941 
 2939 
 2936 
 2934 
 2931 
 2929 
 2927 
 2924 
 2922 
 2920 
 2917 
 2915 
 2912 
 2910 
 2908 
 2905 
 2903 
 2901 
 2898 
 2896 
 2894 
 2891 
 2889 
 2887 
 2884 
 2882 
 2880 
 
 2877 
 2875 
 2873 
 2870 
 2868 
 
 2868 
 236S 
 2863 
 286J 
 2859 
 2856 
 2854 
 2852 
 2849 
 2847 
 2845 
 2842 
 2840 
 2838 
 2835 
 2833 
 2831 
 2828 
 2826 
 2824 
 2821 
 2819 
 2817 
 2815 
 2812 
 2810 
 
 2808 
 2805 
 2803 
 2801 
 2798 
 2796 
 2794 
 2792 
 2789 
 2787 
 2785 
 2782 
 2780 
 2778 
 2775 
 2773 
 2771 
 2769 
 2766 
 2764 
 2762 
 2760 
 2757 
 2755 
 2753 
 2750 
 2748 
 2746 
 2744 
 2741 
 2739 
 2737 
 2735 
 3732 
 2730 
 
 2730 
 2728 
 2725 
 2723 
 2721 
 2719 
 2716 
 2714 
 2712 
 2710 
 2707 
 2705 
 2703 
 2701 
 2698 
 2696 
 2694 
 2692 
 2689 
 2687 
 2685 
 
 2683 
 2681 
 2678 
 2676 
 2674 
 2672 
 2669 
 2667 
 2665 
 2663 
 2660 
 2658 
 2656 
 2654 
 2652 
 2649 
 2647 
 2645 
 2643 
 2640 
 2638 
 2636 
 2634 
 2632 
 2629 
 2627 
 2625 
 2623 
 2621 
 2618 
 2616 
 2614 
 2612 
 2610 
 2607 
 2605 
 2603 
 2601 
 2599 
 2596 
 
 2596 
 2594 
 2592 
 2590 
 2588 
 2585 
 2583 
 2581 
 2579 
 2577 
 2574 
 2572 
 2570 
 2568 
 2566 
 2564 
 2561 
 2559 
 2557 
 2555 
 2553 
 2551 
 2548 
 2546 
 2544 
 2542 
 2540 
 2538 
 2535 
 2533 
 2531 
 
 2529 
 
 2527 
 
 2525 
 
 2522 
 
 2520 
 
 251 
 
 2516 
 
 2514 
 
 2512 
 
 2510 
 
 2507 
 2505 
 2503 
 2501 
 2499 
 2497 
 2494 
 2492 
 2490 
 2488 
 2486 
 2484 
 2482 
 2480 
 2477 
 2475 
 2473 
 2471 
 2469 
 2467 
 
 2467 2341 
 2465 2339 
 
 2462 
 2460 
 2458 
 2456 
 2454 
 2452 
 2450 
 2448 
 2445 
 2443 
 2441 
 2439 
 2437 
 2435 
 2433 
 2431 
 2429 
 2426 
 2424 
 2422 
 2420 
 2418 
 2416 
 2414 
 2412 
 2410 
 2408 
 2405 
 2403 
 2401 
 2399 
 2397 
 2395 
 2393 
 2391 
 2389 
 2387 
 2384 
 2382 
 2380 
 2378 
 2376 
 2374 
 2372 
 2370 
 2368 
 2366 
 2364 
 2362 
 2369 
 2357 
 2355 
 2353 
 2351 
 2349 
 2347 
 2345 
 2343 
 2341 
 
 2337 
 2335 
 2333 
 2331 
 
 2328 
 2326 
 2324 
 2322 
 2320 
 2318 
 2316 
 2314 
 2312 
 2310 
 2308 
 2306 
 2304 
 2302 
 2300 
 2298 
 2296 
 2294 
 2291 
 2289 
 
 2287 
 2285 
 2283 
 2281 
 2279 
 
 2277 
 2275 
 2273 
 2271 
 2269 
 
 2267 
 
 2265 
 
 2263 
 
 2261 
 
 2259 
 
 2257 
 
 2255 
 
 2253 
 
 225 
 
 2249 
 
 2247 
 2245 
 2243 
 2241 
 2239 
 2237 
 2235 
 2233 
 2231 
 2229 
 
 2227 
 2225 
 2223 
 2220 
 221 
 
 2218 
 2216 
 2214 
 2212 
 2210 
 2208 
 2206 
 2204 
 2202 
 2200 
 2198 
 2196 
 2191 
 2192 
 2190 
 2188 
 2186 
 2184 
 2182 
 2180 
 2178 
 2176 
 2174 
 2172 
 2170 
 2169 
 2167 
 2165 
 2163 
 2161 
 2159 
 
 2157 
 2155 
 2153 
 2151 
 2149 
 2147 
 2145 
 2143 
 2141 
 2139 
 
 2137 
 2135 
 2133 
 2131 
 2129 
 2127 
 2125 
 2123 
 2121 
 2119 
 2117 
 2115 
 2113 
 2111 
 2109 
 
 2107 
 2105 
 2103 
 2101 
 2099 
 
 2099 
 2098 
 2096 
 2094 
 2092 
 2090 
 
 2088 
 2086 
 2084 
 2082 
 2080 
 2078 
 2076 
 2074 
 2072 
 2070 
 
 2068 
 2066 
 2064 
 2062 
 2061 
 2059 
 2057 
 2055 
 2053 
 2051 
 2049 
 2047 
 2045 
 2043 
 2041 
 2039 
 2037 
 2035 
 2033 
 2032 
 2030 
 2028 
 2026 
 2024 
 2022 
 2020 
 2018 
 2016 
 2014 
 2012 
 2010 
 2009 
 2007 
 2005 
 2003 
 2001 
 1999 
 1997 
 1995 
 1993 
 1991 
 1989 
 1987 
 1986 
 1984 
 
 1984 
 1982 
 1980 
 1978 
 1976 
 1974 
 1972 
 1970 
 1968 
 1967 
 1965 
 
 1963 
 1961 
 1959 
 1957 
 1955 
 1953 
 1951 
 1950 
 1948 
 1946 
 
 1944 
 1942 
 1940 
 1938 
 1936 
 1934 
 1933 
 1931 
 1929 
 1927 
 1925 
 1923 
 1921 
 1919 
 1918 
 1916 
 1914 
 1912 
 1910 
 1908 
 1906 
 1904 
 1903 
 1901 
 1899 
 1897 
 1895 
 1893 
 1891 
 1889 
 1888 
 1886 
 1884 
 1882 
 1880 
 1878 
 1876 
 1875 
 1873 
 1871 
 
 1871 
 1869 
 1867 
 1865 
 1863 
 1862 
 
 1860 
 1858 
 1856 
 1854 
 1852 
 1850 
 1849 
 1847 
 1845 
 1843 
 1841 
 1839 
 1838 
 1836 
 1834 
 1832 
 1830 
 1828 
 1827 
 1825 
 1823 
 1821 
 1819 
 1817 
 1816 
 1814 
 1812 
 1810 
 1808 
 1806 
 1805 
 1803 
 1801 
 1799 
 1797 
 1795 
 1794 
 1792 
 1790 
 1788 
 1786 
 1785 
 1783 
 1781 
 1779 
 1777 
 1775 
 1774 
 1772 
 1770 
 1768 
 1766 
 1765 
 1763 
 1761 
 
 1761 
 
 1759 
 
 1757 
 
 1755 
 
 1754 
 
 1752 
 
 1750 
 
 1748 
 
 1746 
 
 174 
 
 1743 
 
 1741 
 
 1739 
 
 1737 
 
 1736 
 
 1734 
 
 1732 
 
 1730 
 
 1728 
 
 1727 
 
 1725 
 
 1723 
 1721 
 1719 
 1718 
 1716 
 1714 
 1712 
 1711 
 1709 
 1707 
 1705 
 1703 
 1702 
 1700 
 1698 
 1696 
 1694 
 1693 
 1691 
 1689 
 
 1687 
 1686 
 1684 
 1682 
 1680 
 1678 
 1677 
 1675 
 1673 
 1671 
 1670 
 1668 
 1666 
 1664 
 1663 
 1661 
 1659 
 1657 
 1655 
 1654 
 
 1654 
 1652 
 1650 
 1648 
 1647 
 1645 
 1643 
 1641 
 1640 
 1638 
 1636 
 
 1634 
 1633 
 1631 
 1629 
 1627 
 1626 
 1624 
 1622 
 1620 
 1619 
 
 1617 
 1615 
 1613 
 1612 
 1610 
 1608 
 1606 
 1605 
 1603 
 1601 
 
 1599 
 1598 
 1596 
 1594 
 1592 
 1591 
 1589 
 1587 
 1585 
 1684 
 
 1582 
 1580 
 1578 
 1577 
 1576 
 1573 
 1671 
 1570 
 1568 
 1566 
 1565 
 1663 
 1561 
 1559 
 1558 
 1656 
 1554 
 1552 
 1551 
 1549 
 
 1549 
 
 1547 
 
 1546 
 
 1544 
 
 1542 
 
 1540 
 
 1539 
 
 1537 
 
 1535 
 
 1634 
 
 1532 
 
 1530 
 
 1528 
 
 1527 
 
 1526 
 
 1623 
 
 1522 
 
 1520 
 
 161! 
 
 1516 
 
 1515 
 
 1513 
 
 161 
 
 1510 
 
 1608 
 
 1606 
 
 1604 
 
 1603 
 
 1501 
 
 1499 
 
 1498 
 
 1496 
 
 1494 
 
 1493 
 
 1491 
 
 1489 
 
 1487 
 1486 
 1484 
 1482 
 1481 
 1479 
 1477 
 1476 
 1474 
 1472 
 1470 
 1469 
 1467 
 1465 
 1464 
 1462 
 1460 
 1469 
 1467 
 1465 
 1454 
 1452 
 1450 
 1449 
 1447 
 
(Qi^) 
 
 LOGISTIC LOGARITHMS. 
 
 Tab. 8. 
 
 43 44 
 
 45 
 
 46 47 
 
 48 49 50 51 52 53 
 
 54 
 
 55 
 
 56 57 
 
 2580 
 
 1447 
 1445 
 1443 
 1442 
 1440 
 1438 
 
 1437 
 1435 
 1433 
 1432 
 1430 
 1428 
 1427 
 1425 
 1423 
 1422 
 
 1420 
 1418 
 1417 
 1415 
 1413 
 1412 
 1410 
 1408 
 1407 
 1405 
 1403 
 1402 
 1400 
 1398 
 1397 
 1395 
 1393 
 1392 
 1390 
 1388 
 
 1387 
 1385 
 1383 
 1382 
 1380 
 1378 
 1377 
 1375 
 1373 
 1372 
 1370 
 1368 
 1367 
 1365 
 1363 
 1362 
 1360 
 1359 
 1357 
 1355 
 1354 
 1352 
 1350 
 1349 
 1347 
 
 2640 
 1347 
 1345 
 1344 
 1342 
 1340 
 1339 
 1337 
 1335 
 1334 
 1332 
 1331 
 1329 
 1327 
 1326 
 1324 
 1322 
 1321 
 1319 
 1317 
 1316 
 1314 
 
 1313 
 
 1311 
 
 1309 
 
 1308 
 
 1306 
 
 1304 
 
 1303 
 
 130 
 
 1300 
 
 1298 
 
 1296 
 
 1295 
 
 1293 
 
 1291 
 
 1290 
 
 1288 
 
 1287 
 
 1285 
 
 1283 
 
 1282 
 
 1280 
 
 1278 
 
 127 
 
 1275 
 
 1274 
 
 1272 
 
 1270 
 
 1269 
 
 1267 
 
 1266 
 
 1264 
 
 1262 
 
 1261 
 
 1259 
 
 1257 
 
 1256 
 
 1254 
 
 1253 
 
 1251 
 
 1249 
 
 2700 
 
 1249 
 1248 
 1246 
 1245 
 1243 
 1241 
 1240 
 1238 
 1237 
 1235 
 1233 
 1232 
 1230 
 1229 
 1227 
 1225 
 
 1224 
 1222 
 1221 
 1219 
 1217 
 1216 
 1214 
 1213 
 1211 
 1209 
 
 1208 
 1206 
 1205 
 1203 
 1201 
 1200 
 1198 
 1197 
 1195 
 1193 
 1192 
 1190 
 1189 
 1187 
 1186 
 
 1184 
 
 1182 
 
 11 
 
 1179 
 
 1178 
 
 1176 
 
 1174 
 
 1173 
 
 1171 
 
 1170 
 
 1168 
 1167 
 1165 
 1163 
 1162 
 1160 
 1159 
 1157 
 1156 
 1154 
 
 2760 2820 
 1061 
 1059 
 1057 
 1056 
 1054 
 1053 
 
 1154 
 
 1152 
 
 1151 
 
 1149 
 
 1148 
 
 1146 
 
 1145 
 
 1143 
 
 1141 
 
 1140 
 
 1138 
 
 1137 
 
 1135 
 
 1134 
 
 1132 
 
 1130 
 
 1129 
 
 1127 
 
 1126 
 
 1124 
 
 1123 
 
 1121 
 
 1119 
 
 1118 
 
 1116 
 
 1115 
 
 1113 
 
 1112 
 
 1110 
 
 1109 
 
 1107 
 
 1105 
 
 1104 
 
 1102 
 
 1101 
 
 1099 
 
 1098 
 
 1096 
 
 109 
 
 1093 
 
 1091 
 
 1090 
 
 1088 
 
 1087 
 
 1085 
 
 1084 
 
 1082 
 
 108 
 
 1079 
 
 1078 
 
 1076 
 
 1074 
 
 1073 
 
 1071 
 
 1070 
 
 1068 
 
 1067 
 
 1065 
 
 1064 
 
 1062 
 
 1061 
 
 1051 
 1050 
 1048 
 1047 
 1045 
 
 1044 
 
 1042 
 
 1041 
 
 1039 
 
 1037 
 
 1036 
 
 1034 
 
 1033 
 
 1031 
 
 1030 
 
 1028 
 
 1027 
 
 1025 
 
 1024 
 
 1022 
 
 1021 
 
 1019 
 
 101 
 
 1016 
 
 1015 
 
 1013 
 
 1012 
 
 1010 
 
 1008 
 
 1007 
 
 1005 
 
 1004 
 
 1002 
 
 1001 
 
 0999 
 
 2880 
 0969 
 0968 
 0966 
 0965 
 0963 
 0962 
 0960 
 0959 
 0957 
 0956 
 0954 
 0953 
 0951 
 0950 
 0948 
 0947 
 0945 
 0944 
 0942 
 0941 
 0939 
 
 0938 
 0936 
 0935 
 0933 
 0932 
 
 0930 
 0929 
 0927 
 0926 
 0924 
 0923 
 0921 
 0920 
 
 2940 
 
 0880 
 0878 
 0877 
 0875 
 0874 
 0872 
 0871 
 
 3000 
 0792 
 
 3060 
 0706 
 
 0790 0704 
 
 0868 
 0866 
 0865 
 0863 
 0862 
 0860 
 0859 
 0857 
 0856 
 0855 
 0853 
 0852 
 0850 
 0849 
 0847 
 0846 
 0844 
 0843 
 0841 
 0840 
 0838 
 0837 
 0835 
 0834 
 0833 
 0831 
 
 0918 0830 
 0917 0828 
 0915 0827 
 0914 0825 
 0912 0824 
 091l!o822 
 0909*0821 
 
 0789 
 0787 
 0786 
 0785 
 0783 
 0782 
 0780 
 0779 
 0777 
 0776 
 0774 
 0773 
 0772 
 0770 
 0769 
 0767 
 0766 
 0764 
 0763 
 0762 
 0760 
 0759 
 0757 
 0756 
 
 0754 
 0753 
 0751 
 0750 
 0749 
 
 0747 
 0746 
 0744 
 0743 
 0741 
 0740 
 0739 
 0737 
 0736 
 0734 
 
 0703 
 0702 
 0700 
 0699 
 0697 
 0696 
 0694 
 0693 
 0692 
 0690 
 0689 
 0687 
 0686 
 0685 
 0683 
 0682 
 0680 
 0679 
 0678 
 0676 
 0675 
 0673 
 0672 
 0670 
 0669 
 0668 
 0666 
 0665 
 0663 
 0662 
 0661 
 0659 
 0658 
 0656 
 0655 
 0654 
 0652 
 0651 
 0649 
 
 3120 
 0621 
 0620 
 0619 
 0617 
 0616 
 0615 
 0613 
 0612 
 0610 
 0609 
 0608 
 0606 
 0605 
 0603 
 0602 
 0601 
 0599 
 0598 
 0596 
 0595 
 0594 
 0592 
 0591 
 0590 
 0588 
 0587 
 0585 
 0584 
 0583 
 0581 
 0580 
 
 3180 
 0539 
 0537 
 0536 
 0535 
 0533 
 0532 
 
 0531 
 0529 
 0528 
 0526 
 0525 
 
 0524 
 0522 
 0521 
 0520 
 0518 
 0517 
 0516 
 0514 
 0513 
 0512 
 
 3240 
 
 0458 
 0456 
 0455 
 0454 
 0452 
 0451 
 0450 
 0448 
 0447 
 0446 
 0444 
 
 0443 
 0442 
 0440 
 0439 
 0438 
 0436 
 0435 
 0434 
 0432 
 0431 
 
 3360 3420 
 
 0510 0430 
 0509 0428 
 
 0507 
 0506 
 0505 
 0503 
 0502 
 0501 
 0499 
 0498 
 
 0427 
 0426 
 0424 
 0423 
 0422 
 0420 
 0419 
 0418 
 
 0579 0497 
 0577 0495 
 
 0998 0908i081 
 0996 0906|0818 
 
 0733 0648 
 
 0995 
 0993 
 0992 
 0990 
 0989 
 0987 
 0986 
 0984 
 0983 
 0981 
 0980 
 0978 
 0977 
 0975 
 0974 
 0972 
 0971 
 
 0905 0816 
 
 0903|o8I 
 
 0902J0814 
 
 0900!081 
 0899-08 1 
 
 073 
 0730 
 0729 
 0727 
 
 2 0726 
 0724 
 
 089710809 0723 
 089610808 0721 
 0894jO€06 0720 
 0893 080o 
 0891 0803 
 08900802 
 
 0888 
 0887 
 0885 
 0884 
 0883 
 0881 
 
 0969 0880 
 
 0801 
 0799 
 0798 
 0796 
 0795 
 0793 
 0792 
 
 0719 
 0717 
 0716 
 0714 
 0713 
 
 0711 
 0710 
 0709 
 0707 
 0706 
 
 0576 
 0574 
 0573 
 0572 
 0570 
 0569 
 0568 
 0566 
 0565 
 0563 
 0562 
 0561 
 0559 
 0558 
 0557 
 0555 
 0554 
 0552 
 0551 
 0550 
 0548 
 0547 
 0546 
 0544 
 0543 
 0541 
 0623l0540 
 062110539 
 
 0647 
 
 064 
 
 0644 
 
 0642 
 
 0641 
 
 0640 
 
 0638 
 
 0637 
 
 0635 
 
 0634 
 
 0633 
 
 0631 
 
 0630 
 
 0628 
 
 0627 
 0626 
 0624 
 
 0494 
 0493 
 0491 
 0490 
 0489 
 0487 
 0486 
 0484 
 0483 
 0482 
 0480 
 0479 
 0478 
 
 3300 
 0378 
 0377 
 0375 
 0374 
 0373 
 0371 
 0370 
 0369 
 0367 
 0366 
 0365 
 0363 
 0362 
 0361 
 0359 
 0358 
 0357 
 0356 
 0354 
 0353 
 0352 
 
 0350 0273 
 
 0349^0271 
 
 0270 
 
 0269 
 
 0267 
 
 0300 
 0298 
 0297 
 0296 
 0294 
 0293 
 0292 
 0291 
 0289 
 0288 
 0287 
 0285 
 0284 
 0283 
 0282 
 0280 
 0279 
 0278 
 0276 
 0275 
 0274 
 
 0348 
 0346 
 0345 
 
 0344 
 0342 
 0341 
 0340 
 0339 
 
 0416 0337 
 
 0415 
 0414 
 0412 
 0411 
 0410 
 0408 
 0407 
 0406 
 0404 
 0403 
 0402 
 0400 
 0399 
 0398 
 
 0476 0396 
 0475 0395 
 
 0474 
 0472 
 0471 
 0470 
 0468 
 0467 
 0466 
 0464 
 0463 
 0462 
 0460 
 0459 
 0458 
 
 0394 
 0392 
 0391 
 0390 
 0388 
 0387 
 0386 
 0384 
 0383 
 0382 
 0381 
 0379 
 0378 
 
 0336 
 0335 
 0333 
 0332 
 
 0331 
 0329 
 0328 
 0327 
 0326 
 
 0324 
 0323 
 0322 
 0320 
 0319 
 0318 
 0316 
 0315 
 0314 
 0313 
 0311 
 0310 
 0309 
 0307 
 0306 
 0305 
 0304 
 0302 
 0301 
 0300 
 
 0223 
 0221 
 0220 
 0219 
 0218 
 0216 
 0215 
 0214 
 0213 
 0211 
 0210 
 0209 
 0208 
 0206 
 0205 
 0204 
 0202 
 0201 
 0200 
 0199 
 0197 
 0196 
 0195 
 0194 
 0192 
 0191 
 
 0266 0190 
 
 0266 
 0264 
 0262 
 0251 
 
 0260 
 0258 
 0257 
 0256 
 0255 
 
 0189 
 0187 
 0186 
 0185 
 0184 
 0182 
 0181 
 0180 
 0179 
 
 0253|01 77 
 0252 0176 
 
 0251 
 0250 
 0248 
 
 0247 
 0246 
 0244 
 0243 
 0242 
 0241 
 0239 
 0238 
 0237 
 0235 
 0234 
 0233 
 0232 
 0230 
 0229 
 0228 
 0227 
 0225 
 0224 
 0223 
 
 0175 
 0174 
 0172 
 
 0171 
 0170 
 0169 
 0167 
 0166 
 0165 
 0163 
 0162 
 0161 
 0160 
 0158 
 0157 
 0156 
 0165 
 0153 
 0152 
 0151 
 0150 
 0148 
 0147 
 
Tab. 8. 
 
 LOGISTIC LOGARITHMS. 
 
 (216) 
 
 ' 58 59 60 6*1 62 63 64 65 66 67 68 69 70(71 72 
 
 3480 
 
 0147 
 0146 
 0145 
 014.S 
 0142 
 0141 
 0140 
 0139 
 0137 
 0136" 
 0135 
 0134 
 0132 
 0131 
 
 1540 
 
 0073 
 0072 
 0071 
 0069 
 0068 
 0067 
 0066 
 0064 
 0063 
 0062 
 0061 
 0060 
 0058 
 0057 
 
 3600 
 
 0130 0056 
 012*0055 
 
 0127 
 0126 
 0125 
 0124 
 0122 
 
 0121 
 0120 
 0119 
 0117 
 0116 
 0115 
 0114 
 0112 
 0111 
 0110 
 0109 
 0107 
 0106 
 0105 
 0104 
 0103 
 0101 
 0100 
 0099 
 0098 
 0096 
 0095 
 0094 
 0093 
 0091 
 0090 
 0089 
 0088 
 0087 
 0085 
 0084 
 0083 
 0082 
 0080 
 0079 
 0078 
 
 570077 
 58 0075 
 590074 
 60.0073 
 
 9999 
 9998 
 9996 
 9995 
 9994 
 
 9993 
 9992 
 9990 
 9989 
 9988 
 9987 
 9986 
 9984 
 9983 
 9982 
 
 0053 9981 
 9980 
 9978 
 9977 
 9976 
 
 0052 
 005 
 0050 
 0049 
 
 0047 
 0046 
 0045 
 0044 
 0042 
 0041 
 0040 
 0039 
 0038 
 0036 
 0035 
 0034 
 0033 
 0031 
 0030 
 0029 
 0028 
 0027 
 0025 
 0024 
 
 0023 
 0022 
 0021 
 0019 
 0018 
 
 0017 
 0016 
 0015 
 0013 
 0012 
 001] 
 0010 
 0008 
 0007 
 0006 
 0005 
 0004 
 0002 
 0001 
 0000 
 
 3660 
 
 9974 
 9972 
 9971 
 9970 
 
 9928 
 9927 
 9926 
 9925 
 9923 
 9922 
 9921 
 992C 
 9919 
 9918 
 9916 
 9915 
 9914 
 9913 
 9912 
 9910 
 9909 
 9908 
 9907 
 9906 
 9905 
 
 3720 
 
 9975 9903 
 
 9968 
 9966 
 9965 
 9964 
 
 9963 
 9962 
 9960 
 9959 
 9958 
 
 9957 
 9956 
 9954 
 9953 
 9952 
 
 9951 
 9950 
 9948 
 9947 
 9946 
 
 9945 
 9944 
 9942 
 9941 
 9940 
 9939 
 9938 
 9937 
 9935 
 9934 
 9933 
 9932 
 9931 
 9929 
 9928 
 
 9902 
 9901 
 9900 
 9899 
 
 9897 
 9896 
 9895 
 9894 
 9893 
 9892 
 9890 
 
 9887 
 9886 
 9885 
 9883 
 9882 
 9881 
 9880 
 9879 
 9877 
 9876 
 9875 
 9874 
 9873 
 9872 
 9870 
 9869 
 9868 
 9867 
 9866 
 9865 
 9863 
 9862 
 9861 
 98G0 
 9859 
 9858 
 
 9858 
 9856 
 9855 
 9854 
 9853 
 9852 
 9851 
 9849 
 9848 
 9847 
 9846 
 9845 
 9844 
 9842 
 9841 
 9840 
 9839 
 9838 
 9837 
 9835 
 3834 
 
 9833 
 9832 
 9831 
 9830 
 9829 
 
 9827 
 9826 
 9825 
 9824 
 9823 
 
 3780 
 
 9788 
 9787 
 9786 
 9785 
 9784 
 9782 
 9781 
 9780 
 9779 
 9778 
 9777 
 9775 
 9774 
 9773 
 9772 
 9771 
 
 3840 
 9720 
 9719 
 9717 
 9716 
 9715 
 9714 
 
 9713 
 
 9712 
 
 97 
 
 9710 
 
 9708 
 
 3900 
 
 9707 
 9706 
 9705 
 9704 
 9703 
 9770 9702 
 9769 9701 
 
 9767 
 9766 
 9765 
 
 9699 
 9698 
 9697 
 
 9822 
 9820 
 9819 
 9818 
 9817 
 9816 
 9815 
 9813 
 9812 
 9811 
 9810 
 9809 
 9808 
 9807 
 9805 
 
 9804 
 9803 
 9802 
 9801 
 9800 
 9798 
 9797 
 9796 
 9795 
 9794 
 
 9764 9696 
 9763\969'^ 
 9762 9694 
 9761 9693 
 97599692 
 
 9652 
 
 965 1 
 
 9650 
 
 9649 
 
 9648 
 
 9647 
 
 9646 
 
 9645 
 
 9643 
 
 9642 
 
 9641 
 
 9640 
 
 9639 
 
 9638 
 
 9637 
 
 9636 
 
 9636 
 
 9633 
 
 9632 
 
 963 
 
 9630 
 
 9629 
 
 9628 
 
 9627 
 
 9626 
 
 9625 
 
 9758 
 9757 
 9756 
 9755 
 9754 
 
 9753 
 9751 
 9750 
 9749 
 9748 
 9747 
 9746 
 9745 
 9744 
 9742 
 9741 
 9740 
 9739 
 9738 
 9737 
 9736 
 9734 
 9733 
 9732 
 9731 
 9730 
 9729 
 9723 
 
 '9690 
 
 9689 
 
 9688 
 
 9687 
 
 9686 
 
 9685 
 
 9684 
 
 9683 
 
 9681 
 
 9680 
 
 9679 
 
 9678 
 
 9677 
 
 9676 
 
 967 
 
 9674 
 
 9672 
 
 9671 
 
 9670 
 
 9669 
 
 9668 
 
 9667 
 
 9666 
 
 9665 
 
 9664 
 
 9662 
 
 966 
 
 9660 
 
 3960 
 
 9586 
 9585 
 :)584 
 9583 
 9582 
 9581 
 9579 
 9578 
 9577 
 9576 
 9575 
 9574 
 9573 
 9572 
 9571 
 9570 
 
 4020 
 
 9727 9659 
 9725 9658 
 
 9793 
 
 9792 
 
 790 
 
 9789 
 
 9788 9720 
 
 9724 9657 
 9723^9656 
 97229655 
 972119653 
 20*9652- 
 
 9624 
 9622 
 9621 
 9620 
 9619 
 9618 
 9617 
 9616 
 9615 
 9614 
 
 9612 
 9611 
 9610 
 9609 
 9608 
 9607 
 9606 
 9605 
 9604 
 9603 
 9601 
 9600 
 9599 
 9598 
 9597 
 9596 
 9595 
 9594 
 9593 
 9592 
 
 9590 
 9589 
 9588 
 9587 
 9586 
 
 569 
 9567 
 9566 
 9565 
 9564 
 
 9563 
 9562 
 9561 
 9560 
 9559 
 9558 
 9557 
 9555 
 9554 
 9553 
 9552 
 551 
 9550 
 9549 
 9548 
 9547 
 9546 
 9545 
 9544 
 9542 
 
 9541 
 
 9540 
 
 9539 
 
 9538 
 
 9537 
 
 9536 
 
 953 
 
 9534 
 
 9533 
 
 9532 
 
 9530 
 
 9529 
 
 9528 
 
 9527 
 
 9526 
 
 9521 
 9520 
 9519 
 9518 
 9516 
 9515 
 
 4080 
 
 9456 
 9455 
 9454 
 9453 
 9452 
 9451 
 
 9525 
 9524 
 9523 
 9522 
 9521 
 
 9514 9450 
 9513 9449 
 9512 9448 
 9511 '9447 
 9510 9446 
 9509 '9445 
 9508^9444 
 950719443 
 9506,9442 
 95059440 
 9504 9439 
 9502 9438 
 9501 ,'9437 
 9500 '9436 
 94999435 
 94989434 
 9497;9433 
 9496 9432 
 9495 1943 
 9494 9430 
 9493 9429 
 9492 9428 
 9491 9427 
 9490,9426 
 9488j9425 
 9487i9424 
 9486:9422 
 94851942 
 9484 9420 
 9483|S419 
 948219418 
 9481i94l7 
 9480J9416 
 9479 9415 
 9478 9414 
 
 4140 
 
 9393 
 9392 
 9391 
 9390 
 9389 
 9388 
 9387 
 9386 
 9385 
 9384 
 9383 
 9381 
 9380 
 9379 
 9378 
 9377 
 
 420014260 
 
 9331 9269 
 93299268 
 93289267 
 9327 9266 
 9326 9265 
 9325 9264 
 
 9324 
 9323 
 9322 
 9321 
 9320 
 9319 
 9318 
 9317 
 9316 
 9315 
 
 9376 9314 
 937519313 
 
 9477 
 9476 
 9475 
 9473 
 9472 
 9471 
 9470 
 9469 
 9468 
 9467 
 9466 
 9465 
 9464 
 9463 
 9462 
 
 9461 
 9460 
 9459 
 9457 
 9456 
 
 9413 
 9412 
 94)1 
 9410 
 9409 
 9408 
 9407 
 9406 
 9405 
 9404 
 9402 
 9401 
 9400 
 
 9374 
 9373 
 9372 
 
 9371 
 9370 
 9369 
 9368 
 9367 
 9366 
 9365 
 9364 
 9363 
 9362 
 9361 
 9360 
 9359 
 9358 
 9356 
 
 9355 
 9354 
 9353 
 9352 
 9351 
 
 9312 
 9311 
 9310 
 9309 
 9308 
 9307 
 9306 
 9305 
 9304 
 9303 
 9302 
 9301 
 9300 
 9299 
 9298 
 9297 
 9296 
 9294 
 9293 
 9292 
 9291 
 9290 
 9289 
 
 9350 9288 
 9349 9287 
 9348 9286 
 
 9347 
 9346 
 934 
 9344 
 9343 
 9342 
 9341 
 9340 
 9339 
 9338 
 9399 9337 
 9398 9336 
 
 9397 
 9396 
 395 
 9394 
 9393 
 
 9335 
 9334 
 9333 
 9332 
 9331 
 
 928 
 
 9284 
 
 9283 
 
 9282 
 
 9281 
 
 9280 
 
 9279 
 
 9278 
 
 9277 
 
 9276 
 
 9275 
 
 9274 
 
 9273 
 
 9272 
 
 9271 
 
 9270 
 
 9269 
 
 9263 
 9262 
 9261 
 9260 
 9259 
 9258 
 9257 
 9266 
 9255 
 9254 
 9253 
 9252 
 9251 
 9250 
 9249 
 9248 
 9247 
 9246 
 9245 
 9244 
 9243 
 9241 
 9240 
 9239 
 9238 
 
 4320 
 
 9208 
 9207 
 9206 
 9205 
 9204 
 9203 
 9202 
 9201 
 9200 
 9199 
 9198 
 9197 
 9196 
 9195 
 9194 
 9193 
 
 9192 
 9191 
 9190 
 9189 
 9188 
 9187 
 9186 
 9185 
 91^4 
 9183 
 9182 
 9181 
 9180 
 9179 
 9178 
 9237J9177 
 92369176 
 9235 9175 
 9234 9174 
 9233 9173 
 
 9232 
 9231 
 9230 
 9229 
 9228 
 9227 
 9226 
 9225 
 9224 
 9223 
 9222 
 9221 
 9220 
 9219 
 9218 
 
 9217 
 9216 
 9215 
 9214 
 9213 
 
 9212 
 
 9211 
 
 9210 
 
 920919 
 
 9208 
 
 9172 
 
 9171 
 
 9170 
 
 169 
 
 9168 
 
 9167 
 9166 
 9165 
 9164 
 9163 
 9162 
 9161 
 9160 
 
 159 
 9158 
 9157 
 9156 
 
 155 
 9154 
 9153 
 
 9152 
 9151 
 9150 
 149 
 t9143 
 
(Q17y 
 
 LOGISTIC LOGARITHMS. 
 
 Tab. 8. 
 
 73 74 
 
 75 7i\ 77 7^ Ji) 80 81 82 83 84 8=> 86 87 
 
 4380 4440 
 
 4500 
 
 466'() 
 
 46'JO 
 
 40"80 
 
 9148 
 9147 
 9146 
 9145 
 9144 
 9143 
 9142 
 9141 
 9140 
 9139 
 9138 
 
 9137 
 9136 
 9135 
 9134 
 9133 
 9132 
 9131 
 9130 
 
 19 9129 
 
 2019128 
 21 9128 
 229127 
 23|9126 
 24 9125 
 259124 
 
 2619123 
 27 9122 
 28.9121 
 29 9120 
 309119 
 319111 
 32 9117 
 339116 
 
 9115 
 9114 
 9113 
 9112 
 9111 
 9110 
 9109 
 
 9089 
 9088 
 9087 
 9086 
 9085 
 9084 
 9083 
 9082 
 9081 
 9080 
 9079 
 9078 
 9077 
 9076 
 9076 
 9075 
 9074 
 9073 
 9072 
 9071 
 9070 
 9069 
 9068 
 9067 
 9066 
 9065 
 9064 
 9063 
 9062 
 9061 
 9060 
 9059 
 9058 
 9057 
 9056 
 9055 
 9054 
 9053 
 9052 
 9051 
 9050 
 
 9108 
 9107 
 43 9106 
 44I9IO5 
 45 9104 
 
 9103 
 102 
 9101 
 9100 
 9099 
 9098 9040 
 
 9031 
 9030 
 9029 
 9028 
 9027 
 9026 
 902:i 
 9024 
 9023 
 9022 
 9021 
 9020 
 9019 
 9018 
 9017 
 9016 
 
 9015 
 9015 
 9014 
 9013 
 9012 
 
 9011 
 9010 
 9009 
 9008 
 9007 
 9006 
 9005 
 9004 
 9003 
 9002 
 9001 
 9000 
 8999 
 8998 
 8997 
 8996 
 8995 
 ^994 
 ^993 
 8992 
 
 9049 
 9048 
 9047 
 9046 
 9045 
 9044 
 9043 
 9042 
 9042 
 9041 
 
 9097 
 9096 
 9095 
 9094 
 9093 
 9092 
 9091 
 9090 
 9089 
 
 9039 
 9038 
 9037 
 9036 
 
 9035 
 9034 
 9033 
 9032 
 9031 
 
 8992 
 8991 
 8990 
 8989 
 8988 
 
 8987 
 8986 
 8985 
 8984 
 8983 
 8982 
 8981 
 8980 
 8979 
 8978 
 8977 
 8976 
 8975 
 8974 
 8973 
 
 8973 
 8972 
 8971 
 8971 
 8970 
 8969 
 
 8968 
 
 8967 
 
 8966 
 
 896. 
 
 8964 
 
 8963 
 
 8962 
 
 8961 
 
 8960 
 
 8959 
 
 8958 
 
 8957 
 
 8956 
 
 8955 
 
 8954 
 
 8953 
 8952 
 8952 
 8951 
 8950 
 
 8949 
 8948 
 8947 
 8946 
 8945 
 8944 
 8943 
 8942 
 8941 
 8940 
 8939 
 8938 
 8937 
 8936 
 8935 
 
 8935 
 8934 
 8933 
 8932 
 
 8917 
 8916 
 8915 
 8914 
 3913 
 8912 
 8911 
 8910 
 8909 
 8908 
 8907 
 8906 
 8905 
 8904 
 8903 
 8903 
 8902 
 8901 
 8900 
 8899 
 8898 
 
 8897 
 8896 
 3895 
 8894 
 8893 
 
 8892 
 8891 
 8890 
 8889 
 
 8887 
 8886 
 8885 
 8884 
 
 8883 
 8882 
 8881 
 8880 
 8879 
 8878 
 8877 
 8876 
 8875 
 
 8931 8875 
 
 8930 
 8929 
 8928 
 8927 
 8926 
 
 8925 
 8924 
 8923 
 8922 
 8921 
 8920 
 8919 
 8918 
 8918 
 8917 
 
 8874 
 8873 
 8872 
 8871 
 8870 
 8869 
 
 4740 
 
 8861 
 8860 
 8859 
 8858 
 8857 
 8356 
 8855 
 8854 
 8853 
 8852 
 8851 
 8850 
 8849 
 8849 
 8848 
 8847 
 8846 
 8845 
 8844 
 8843 
 8842 
 
 8841 
 8840 
 8839 
 8838 
 8837 
 
 8837 
 8836 
 8835 
 8834 
 8833 
 
 8805 
 
 8804 
 
 8803 
 
 8802 
 
 8802 
 
 8801 
 
 8800 
 
 8799 
 
 8798 
 
 8797 
 
 8796 
 
 879 
 
 8794 
 
 8793 
 
 8792 
 
 8792 
 
 8791 
 8790 
 8789 
 8788 
 8787 
 8786 
 8785 
 
 4800 4860 
 
 8697 
 8696 
 8695 
 8694 
 8693 
 8692 
 
 8751 
 8750 
 8749 
 
 8748 
 8747 
 8746 
 8745 
 8744 
 8743 
 8743 
 8742 
 
 8741 
 8740 
 8739 
 8738 
 8737 
 8736 
 8735 
 8734 
 8733 
 8733 
 8732 
 8731 
 
 8784 8729 
 8783 8729 
 8782 8728 
 
 8781 
 8781 
 8780 
 8779 
 8778 
 8832 8777 
 
 8831 
 8830 
 8829 
 8828 
 8827 
 8826 
 8825 
 8825 
 8824 
 
 8823 
 8822 
 8821 
 8820 
 8819 
 8818 
 8817 
 8816 
 8815 
 
 8776 
 8775 
 8774 
 8773 
 8772 
 8771 
 8771 
 8770 
 8769 
 
 8867 
 8866 
 8865 
 8864 
 8863 
 8862 
 8861 
 8861 
 
 8813 
 8813 
 8812 
 8811 
 8810 
 8809 
 8808 
 8807 
 8806 
 8805 
 
 8727 
 8726 
 8725 
 8724 
 8724 
 8723 
 8722 
 8721 
 8720 
 8719 
 8718 
 8717 
 8716 
 8715 
 8715 
 
 8768 
 8767 
 
 8765 
 8764 
 
 8763 
 8762 
 8761 
 8761 
 8814 8760 
 
 8759 
 8758 
 8757 
 8756 
 8755 
 8754 
 8753 
 8752 
 3762 
 8751 
 
 8691 
 8690 
 8689 
 8689 
 8688 
 
 8687 
 8686 
 8685 
 8684 
 8683 
 8682 
 8681 
 8681 
 8680 
 8679 
 8678 
 8677 
 8676 
 8675 
 8674 
 8673 
 8673 
 8672 
 8671 
 8670 
 8669 
 8668 
 8667 
 8666 
 8665 
 8665 
 8664 
 8663 
 8662 
 8661 
 
 8714 
 8713 
 8766 8712 
 8710 
 8710 
 
 8709 
 8708 
 8707 
 8706 
 8705 
 8704 
 8703 
 8702 
 8702 
 8701 
 8700 
 8699 
 8698 
 8697 
 8697 
 
 8660 
 8659 
 8658 
 8657 
 8657 
 
 8656 
 8655 
 8654 
 8653 
 8652 
 8651 
 8650 
 8650 
 8649 
 8648 
 
 8647 
 8646 
 8645 
 8644 
 8643 
 
 4920 
 8643 
 8642 
 8642 
 8641 
 8640 
 8639 
 8638 
 8637 
 8636 
 8635 
 8635 
 8634 
 8633 
 8632 
 8631 
 8630 
 
 8629 
 
 8628 
 8627 
 8627 
 8626 
 8625 
 8624 
 8623 
 8622 
 8621 
 
 8620 
 8620 
 8619 
 8618 
 8617 
 8616 
 8615 
 8614 
 8613 
 8613 
 8612 
 8611 
 8610 
 8609 
 8608 
 8607 
 8606 
 8606 
 8605 
 8604 
 
 4980 
 
 5040 
 
 5100 
 
 160 
 
 5220 
 
 8603 
 8602 
 8601 
 8600 
 8599 
 8599 
 8598 
 8597 
 8596 
 8595 
 8594 
 8593 
 8592 
 8592 
 8591 
 
 8591 
 8590 
 
 8589 
 8588 
 587 
 8586 
 8585 
 8585 
 8584 
 8583 
 8582 
 
 8581 
 
 580 
 
 8579 
 
 8579 
 8578 
 
 8577 
 8576 
 8575 
 8574 
 8573 
 8572 
 8572 
 8571 
 8570 
 8569 
 8568 
 8567 
 8566 
 3565 
 8565 
 8564 
 8563 
 562 
 8561 
 8560 
 8559 
 8559 
 8558 
 8557 
 8556 
 8555 
 8554 
 8553 
 8553 
 8552 
 
 8551 
 3550 
 8549 
 8548 
 8547 
 
 8546 
 
 8546 
 
 8545 
 
 8544 
 
 8543 
 
 8542 
 
 854 
 
 8540 
 
 8540 
 
 8539 
 
 8539 
 8538 
 8537 
 853G 
 8535 
 8534 
 8534 
 8533 
 8532 
 8531 
 8530 
 8529 
 8628 
 8528 
 8527 
 8526 
 
 525 
 8524 
 8623 
 8622 
 8522 
 8521 
 8520 
 851 
 8518 
 8517 
 8516 
 8516 
 8515 
 8514 
 8513 
 
 8487 
 
 8486 
 
 8486 
 
 8185 
 
 8484 
 
 8483 
 
 8482 
 
 8481 
 
 8481 
 
 8480 
 
 8479 
 
 8478 
 
 8477 
 
 8476 
 
 8475 
 
 8475 
 
 8474 
 
 8473 
 
 8472 
 
 847 
 
 8470 
 
 8469 
 
 8469 
 
 8468 
 
 8467 
 
 8466 
 
 8465 
 
 8464 
 
 8464 
 
 8463 
 
 8462 
 
 8512 
 
 8511 
 
 8610 
 
 8510 
 
 8509 
 
 8508 
 
 8507 
 
 8506 
 
 8505 
 
 8504 
 
 8504 
 
 8503 
 
 8602 
 
 8601 
 
 8600 
 
 8499 
 
 8498 
 
 8498 
 
 8497 
 
 8496 
 
 849 
 
 8494 
 
 8493 
 
 8492 
 
 8492 
 
 849 
 
 8490 
 
 8489 
 
 8488 
 
 8487 
 
 8437 
 8436 
 8435 
 8434 
 8433 
 8432 
 8431 
 8431 
 8430 
 8429 
 8428 
 8427 
 8426 
 8426 
 8426 
 84g4 
 
 8423 
 8422 
 8421 
 8421 
 8420 
 8419 
 8418 
 8417 
 8416 
 8416 
 
 84J5 
 8414 
 8413 
 8412 
 8411 
 
 8461 
 8460 
 8459 
 8458 
 8458 
 
 8467 
 
 8466 
 
 8465 
 
 8464 
 
 8463 
 
 8463 
 
 8452 
 
 8451 
 
 8450 
 
 8449 
 
 8448 
 
 8447 
 
 8447 
 
 8446 
 
 8445 
 
 8444 
 
 8443 
 
 8442 
 
 8442 
 
 8441 
 
 8440 
 
 8439 
 
 8438 
 
 843 
 
 8437 
 
 8386 
 8385 
 8385 
 8384 
 8383 
 8382 
 8381 
 8380 
 8380 
 8379 
 8378 
 
 8377 
 8376 
 8376 
 8375 
 8374 
 
 8373 
 8372 
 8371 
 8371 
 8370 
 8369 
 8368 
 8367 
 8366 
 8366 
 8365 
 8364 
 8363 
 8362 
 8361 
 
 8410 8361 
 8410i8360 
 8409J8369 
 8408 8358 
 8407 8357 
 
 8406 
 8406 
 8405 
 8404 
 8403 
 8402 
 8401 
 8400 
 8400 
 8399 
 8398 
 8397 
 8396 
 8395 
 8396 
 8394 
 8393 
 8392 
 8391 
 8390 
 8390 
 8389 
 8388 
 8387 
 8386 
 
 8356 
 8356 
 8355 
 8354 
 8353 
 8352 
 8361 
 8351 
 8350 
 8349 
 8348 
 8347 
 8347 
 8346 
 8345 
 8344 
 8343 
 8342 
 8342 
 8341 
 
 8340 
 8339 
 8338 
 8338 
 8337 
 
TABLE IX. 
 
 LOGARITHMIC 
 SINES AND TANGENTS 
 
 TO 
 
 EVERY SECOND 
 IN THE FIRST TWO DEGREES. 
 
 ^F 
 
(1^18) ODeg. 
 
 
 LOG. SIN'ES. 
 
 
 
 Tab. 9. 
 
 If 
 
 0' 
 
 1' 
 
 'J 
 
 3' 
 
 1 '' 
 
 5' 
 
 1 6' 
 
 7' 
 
 II 
 
 ~o 
 
 
 6-4637261 
 
 6-7647561 
 
 6-9408473 
 
 7-0667860 
 
 7-1626960 
 
 7-2418771 
 
 7-3088239 
 
 60 
 
 1 
 
 4-6855749 
 
 6-4709047 
 
 6-7683602 
 
 6-9432534 
 
 7-0675918 
 
 7-1641412 
 
 7-2430818 
 
 7-3098567 
 
 59 
 
 2 
 
 4-9866049 
 
 6-477066^ 
 
 6-7719347 
 
 6-9456462 
 
 7-0693901 
 
 7-1656817 
 
 7-2442832 
 
 7-3108870 
 
 58 
 
 3 
 
 5-1626961 
 
 6-4849154 
 
 6-7754800 
 
 6-9480259 
 
 7-0711810 
 
 7-1670173 
 
 7-2464813 
 
 7-3119149 
 
 57 
 
 4 
 
 5-2876349 
 
 6-4917548 
 
 6-7789965 
 
 6-9503926 
 
 7-0729646 
 
 7-1684483 
 
 7-2466760 
 
 7-3129404 
 
 56 
 
 5 
 
 5-3845449 
 
 6-4984882 
 
 6-7824849 
 
 6-9527465 
 
 7-0747408 
 
 7-1698745 
 
 7-2478676 
 
 7-3139636 
 
 65 
 
 6 
 
 5-4637261 
 
 6-6051188 
 
 6-7859454 
 
 6-9560878 
 
 7-0766099 
 
 7-1712961 
 
 7-2490557 
 
 7-3149842 
 
 54 
 
 7 
 
 5-5306729 
 
 6-6116497 
 
 6-7893786 
 
 6-9574164 
 
 7-0782717 
 
 7-1727131 
 
 7-2502407 
 
 7-3160024 
 
 63 
 
 8 
 
 5-5886649 
 
 6-5180838 
 
 6-7927848 
 
 6-9597327 
 
 7-0800264 
 
 71741254 
 
 7-2514225 
 
 7-3170183 
 
 52 
 
 9 
 
 5-6398174 
 
 6-5244239 
 
 6-7961645 
 
 6-9620366 
 
 7-0817741 
 
 7-17.^6332 
 
 7-2526010 
 
 7-3180318 
 
 61 
 
 10 
 
 5-6855749 
 
 6-5306729 
 
 6-7995182 
 
 6-9643284 
 
 7-0835148 
 
 7-1769364 
 
 7-2637764 
 
 7-3190430 
 
 50 
 
 11 
 
 5-7269676 
 
 6-5368332 
 
 6-8028461 
 
 6-9666082 
 
 7-0852485 
 
 7-1783361 
 
 7-2649485 
 
 7-3200518 
 
 49 
 
 12 
 
 5-7647561 
 
 6-5429074 
 
 6-8061488 
 
 6-9688760 
 
 7-0869753 
 
 7-1797293 
 
 7-2561176 
 
 7-3210583 
 
 48 
 
 13 
 
 5-7995182 
 
 6-5488977 
 
 6-8094265 
 
 6-9711321 
 
 7-0886953 
 
 7-1811190 
 
 7-2572835 
 
 7-3220624 
 
 47 
 
 14 
 
 5.8317029 
 
 6-5548066 
 
 6-8126796 
 
 6-9733766 
 
 7-0904086 
 
 7-1825043 
 
 7-2584462 
 
 7-3230643 
 
 46 
 
 16 
 
 5-8616661 
 
 6-5606361 
 
 6-8159086 
 
 6-9766094 
 
 7-0921149 
 
 7-1838853 
 
 7-2696059 
 
 7-3240638 
 
 45 
 
 16 
 
 5-8896948 
 
 6-5663884 
 
 6-8191137 
 
 6-9778309 
 
 7-0938147 
 
 7-1852618 
 
 7-2607625 
 
 7-3250610 
 
 44 
 
 17 
 
 5-9160238 
 
 6-5720656 
 
 6-8222954 
 
 6-9800410 
 
 7-0955079 
 
 7-1866340 
 
 7-2619160 
 
 7-3260660 
 
 43 
 
 18 
 
 5-9408474 
 
 6-5776695 
 
 6-8254539 
 
 6-9822400 
 
 7-0971945 
 
 7-1880018 
 
 7-2630664 
 
 7-3270487 
 
 42 
 
 19 
 
 5-9643285 
 
 6-5832019 
 
 6-8285896 
 
 6-9844279 
 
 7-0988745 
 
 7-1893654 
 
 7-2642138 
 
 7-3280391 
 
 41 
 
 20 
 
 5-9866049 
 
 6-5886648 
 
 6-8317029 
 
 6-9866048 
 
 7- 1005481 
 
 7-1907247 
 
 7-2653582 
 
 7-3290272 
 
 40 
 
 21 
 
 6-0077942 
 
 6-5940599 
 
 6-8347939 
 
 6-9887709 
 
 7-1(^2153 
 7-1^8760 
 
 7-1920797 
 
 7-2664996 
 
 7-3300131 
 
 39 
 
 22 
 
 6-0279975 
 
 6-59938B7 
 
 6-8378632 
 
 6-9909262 
 
 7-1934306 
 
 7-2676380 
 
 7-3309968 
 
 38 
 
 23 
 
 6-0473027 
 
 6-6046529 
 
 6-8409109 
 
 6-9930708 
 
 7-1054305 
 
 7-1947772 
 
 7-2687734 
 
 7-3319783 
 
 37 
 
 24 
 
 6-0657861 
 
 6-6098541 
 
 6-3439373 
 
 6-9952050 
 
 7-1071787 
 
 7-1961197 
 
 7-2699058 
 
 7-3329576 
 
 36 
 
 25 
 
 6-0835149 
 
 6-6149938 
 
 6-8469428 
 
 6-9973287 
 
 7-1088206 
 
 7-1974680 
 
 7-2710353 
 
 7-3339345 
 
 36 
 
 26 
 
 6-10054R2 
 
 6-6200733 
 
 6-8499277 
 
 6-9994420 
 
 7.1104664 
 
 7-1987923 
 
 7-2721619 
 
 7-3349094 
 
 34 
 
 27 
 
 6-1169386 
 
 6-625094] 
 
 6-8528922 
 
 7-0015451 
 
 7-1120860 
 
 7-2001224 
 
 7-273285S 
 
 ?-3358821 
 
 33 
 
 28 
 
 6-1327329 
 
 6-6300576 
 
 6-8558365 
 
 7-0036381 
 
 7-1137095 
 
 7-2014485 
 
 7-2744063 
 
 7-3368525 
 
 32 
 
 29 
 
 6-1479729 
 
 6-6349649 
 
 6-8587611 
 
 7-0057211 
 
 7-1153270 
 
 7-2027706|7-2755242 
 
 7-3378209 
 
 31 
 
 3C 
 
 6-1626961 
 
 6-6398174 
 
 6-8616661 
 
 7-0077941 
 
 7-1169385 
 
 7-2040886j7-2766392 
 
 7-3387870 
 
 30 
 
 31 
 
 6-17G9366 
 
 6-644S162 
 
 6-864561B 
 
 7-0098572 
 
 7-1185440 
 
 7-2064027 7-2777514 
 
 7-3397511 
 
 29 
 
 32 
 
 6-19n7248|6-6493627 
 
 6-8674184 
 
 7-0119107 
 
 7-1201436 
 
 7-2067128 7-2788607 
 
 7-3407130 
 
 28 
 
 33 
 
 6-204088816-6540578 
 6-2l70538i6-6587027 
 
 6-8702663 
 
 7-0139544 
 
 7- 12 1*7374 
 
 7-2080189 7-2799672 
 
 7-3416727 
 
 27 
 
 34 
 
 6-8730956 
 
 7-0159886 
 
 7-1 233263 
 
 7-2093211 
 
 7-2810708 
 
 7-3426304 
 
 26 
 
 35 
 
 6-2296429 
 
 6-6632985 
 
 6-8759065 
 
 7-0180132 
 
 7-1249074 
 
 7-2106195 
 
 7-2821717 
 
 7-3435859 
 
 25 
 
 36 
 
 6-2418774 
 
 6-6678461 
 
 6-8786994 
 
 7-0200285 
 
 7-1264838 
 
 7-2119140 
 
 7.2832698 
 
 7-3445394 
 
 24 
 
 37 
 
 6-2537766 
 
 6-6723466 
 
 6-8814745 
 
 7-0220345 
 
 7-1280645 
 
 7-2132046 
 
 7-2843651 
 
 7-3454907 
 
 23 
 
 38 
 
 6-2653585 
 
 6-6768009 
 
 6-8842319 
 
 7-0240313 
 
 7-1296195 
 
 7-2144914 
 
 7-2854577 
 
 7-3464400 
 
 2? 
 
 39 
 
 6-2766395 
 
 6-6842100 
 
 6-8869719 
 
 7-0260189 
 
 7-1311789 
 
 7-2167744 
 
 7-2865475 
 
 7-3473872 
 
 21 
 
 40 
 
 6-2876349 
 
 6-6855748 
 
 6-8896948 
 
 7-0279976 
 
 7-1327328 
 
 7-2170536 
 
 7-2876346 
 
 7-3483323 
 
 20 
 
 41 
 
 6-2983687 
 
 6-6898962 
 
 6-8924007 
 
 7-0299671 
 
 7-1342811 
 
 7-2183290 
 
 7-2887190 
 
 7-3492754 
 
 19 
 
 42 
 
 6-3088242 
 
 6-6941750 
 
 6-8950898 
 
 7-0319278 
 
 7-1358238 
 
 7-2196008 
 
 7-2898006 
 
 7-3602166 
 
 18 
 
 43 
 
 6-3190433 
 
 6-6984121 
 
 6-8977624 
 
 7-0338796 
 
 7-1373612 
 
 7-2208688 
 
 7-2908796 
 
 7-3511555 
 
 17 
 
 44 
 
 6-3290275 
 
 6-7026082 
 
 6 9004187 
 
 7-0358228 
 
 7-1388931 
 
 7-2221331 
 
 7-2919560 
 
 7-3520926 
 
 16 
 
 45 
 
 &-3387874 
 
 6-7067641 
 
 6-9030588 
 
 7-0377573 
 
 7-1404196 
 
 7-2233938 
 
 7-2930296 
 
 7-3630275 
 
 15 
 
 46 
 
 6-3483327 
 
 6-7108807 
 
 6-9056829 
 
 7-0396832 
 
 7-1419408 
 
 7-2246508 
 
 7-2941006 
 
 7-3639604 
 
 14 
 
 47 
 
 6-3576727 
 
 6-7149586 
 
 6-9082913 
 
 7-0416006 
 
 7-1434566 
 
 7-2259041 
 
 7-2951690 
 
 7-3548914 
 
 13 
 
 48 
 
 6-3668161 
 
 6-7189986 
 
 6-9108841 
 
 7-0435096 
 
 7-1449672 
 
 7-2271539 
 
 7-2962347 
 
 7-3558203 
 
 12 
 
 49 
 
 6-3757709 
 
 6-7230013 
 
 6-9134615 
 
 7-0454103 
 
 7-1464726 
 
 7-2284001 
 
 7-2972979 
 
 7-3667473 
 
 11 
 
 50 
 
 6-3845449 
 
 6-7269675 
 
 6-9160237 
 
 7-0473026 
 
 7-1479727 
 
 7-2296427 
 
 7-2983584 
 
 7-3676723 
 
 10 
 
 51 
 
 6-3931450 
 
 6-7308978 
 
 6-9185709 
 
 7-049 186S 
 
 7-1494677 
 
 7-2308818 
 
 7-29941 64 7-3585954 
 
 9 
 
 52 
 
 6-4015782 
 
 6-7347929 
 
 6-92] 1033 
 
 7-0510628 
 
 7-1509676 
 
 7-2321173 
 
 7-300471 8 7-3595165 
 7-301 52461,7-3604356 
 
 8 
 
 53 
 
 6-4098507 
 
 6-7386533 
 
 6-9236209 
 
 7-0529307 
 
 7-1524423 
 
 7-2333494 
 
 7 
 
 54 
 
 6-4179686 
 
 6-7424797 
 
 6-9261241 
 
 7-05479C6 
 
 7-1539221 
 
 7-2345779 
 
 7-3025749|7-36l3528 
 
 6 
 
 55 
 
 6-4259376 
 
 6-7462727 
 
 6-9286129 
 
 7-0566426 
 
 7-1653967 
 
 7-2358030 
 
 7-3036227|7-36'22681 
 
 5 
 
 56 
 
 6-4337629 
 
 6-7600328 
 
 6-9310875 
 
 7-0584868 
 
 7-1668664 
 
 7-2370246 
 
 7-3046679!7-3631814 
 
 4 
 
 57 
 
 6-4414497 
 
 6-7537607 
 
 6-9335481 
 
 7-0603231 
 
 7-1583312 
 
 7-2382429|7-3057 1 06|7-3640929 
 
 3 
 
 58 
 
 6-4490029 
 
 6-7574569 
 
 6-9359948 
 
 7-0621517 
 
 7-1597910 
 
 7-2394677 
 
 7-3067509i7-3650024 
 
 2 
 
 59 
 
 6-4564269 
 
 6-7611218 
 
 6-9384278 
 
 7-0639727 
 
 7-1612459 
 
 7-2406691 
 
 7-3077886 7-3659100 
 
 ] 
 
 60 
 
 6-4637261 
 
 6-7647661 
 
 6-9408473 
 
 7-0657860 
 
 7-1626960 
 
 7-2418771 
 
 7-3088239j7-3668157 
 
 
 
 u 
 
 ■/'- 
 
 59' 
 
 58' 
 
 57' 
 
 56' 
 
 55' 
 
 54' 
 
 53' i 52' 
 
 LOG. COSINES. 
 
 89 Deg. 
 
Deg. 
 
 
 LOG. TANGENTS. 
 
 
 (m) 
 
 1/ 
 
 0' 1' 
 
 2' 
 
 yj 
 
 A' 
 
 5' 
 
 6" 1 7' 
 
 ~!l 
 
 "o 
 
 G-16;i726l 
 
 6-7647562 
 
 6-9408475 
 
 7-0657863 
 
 7-1626964 
 
 7-2418778i7-3088248 
 
 60 
 
 \ 
 
 4-6855749 6-4709047 
 
 6-7683603 
 
 6-9432536 
 
 7-0675921 
 
 7'1641417 
 
 7-2430825 
 
 7-3098576 
 
 59 
 
 2 
 
 4-9k>,66049 6'4779G66 
 
 6-7719347 
 
 6-9456464 
 
 7-0693904 
 
 7-1655821 
 
 7-2442839 
 
 7-3108879 
 
 58 
 
 3 
 
 5-1626961 6-4849154 
 
 6-7754800 
 
 6-9480261 
 
 7-0711813 
 
 7'1670178 
 
 7-2454819 
 
 7-3119158 
 
 b7 
 
 4 
 
 5-2876349 6-4917549 
 
 6-7789966 
 
 6-9503928 
 
 7-0729649 
 
 7' 1684488 
 
 7-2466767 
 
 7-3129413 
 
 56 
 
 5 
 
 5-3845449|6-4984882 
 
 6-7824849 
 
 6-9527467 
 
 7-0747412 
 
 7-1698750 
 
 7-2478682 
 
 7-3139644 
 
 55 
 
 6 
 
 5-4637261 
 
 6-6051188 
 
 iJ- 7 8 5945 5 
 
 6-9550879 
 
 7-0765102 
 
 7-1712966 
 
 7-2490564 
 
 7-3149851 
 
 54 
 
 7 
 
 5-5306729 
 
 6-51 16497 
 
 6-7893786 
 
 6-9574166 
 
 7-0782720 
 
 7-1727136 
 
 7-2502414 
 
 7-3160034 
 
 53 
 
 8 
 
 5-5886649 
 
 6-5180838 
 
 6-7927849 
 
 6-9597328 
 
 7-0800268 
 
 7-1741259 
 
 7-2514231 
 
 7-3170193 
 
 52 
 
 9 
 
 5-6393174 
 
 6-524^240 
 
 6-7961646 
 
 6-9620368 
 
 7-0817744 
 
 7-1756337 
 
 7-2526017 
 
 7-3180328 
 
 51 
 
 10 
 
 5-6855749 
 
 6-5306729 
 
 6-7995] 83 
 
 6-9643286 
 
 7-0835151 
 
 7-1769369 
 
 7-2537771 
 
 7-3190440 
 
 50 
 
 II 
 
 5-7269676 
 
 6-5368332 
 
 6-8028462 
 
 6-9666084 
 
 7-0852488 
 
 7-1783356 
 
 7-2549492 
 
 7-3200528 
 
 49 
 
 12 
 
 5-7647561 
 
 6-5429074 
 
 6-8061489 
 
 6-9688762 
 
 7-0869756 
 
 7-1797298 
 
 7-2561183 
 
 7-3210592 
 
 48 
 
 13 
 
 5-7995182 
 
 6-5488977 
 
 6-8094266 
 
 6-9711323 
 
 7-0886956 
 
 7-1811195 
 
 7-2572842 
 
 7-3220634 
 
 47 
 
 14 
 
 5-8317029 
 
 6-5548066 
 
 6-8126797 
 
 6-9733767 
 
 7-0904088 
 
 7-1825049 
 
 7-2584469 
 
 7-3230652 
 
 46 
 
 15 
 
 5-8616661 
 
 6-5606361 
 
 6-8159087 
 
 6-9766096 
 
 7-0921153 
 
 7-1838858 
 
 7-2596066 
 
 7-3240648 
 
 45 
 
 16 
 
 5-8896948 
 
 6-5663885 
 
 6-8191138 
 
 6-9778311 
 
 7-0938151 
 
 7-1852623 
 
 7-2607632 
 
 7-3250620 
 
 44 
 
 17 
 
 5-9160238 
 
 6-5720656 
 
 6-8222955 
 
 6-9800412 
 
 7-0955082 
 
 7-1866345 
 
 7-2619167 
 
 7-3260570 
 
 43 
 
 18 
 
 5-9408474 
 
 6''6776G9'6 
 
 6-8264540 
 
 6-9822402 
 
 7-0971948 
 
 7-1880023 
 
 7-2630672 
 
 7-3270496 
 
 42 
 
 19 
 
 5-9643285 
 
 6-5832020 
 
 6-8285897 
 
 6-9844281 
 
 7-0988749 
 
 7-1893659 
 
 7-2642146 
 
 7-3280400 
 
 41 
 
 20 
 
 5-9866049 
 
 6-5886649 
 
 6-8317030 
 
 6-9866050 
 
 7-1005484 
 
 7-1907252 
 
 7-2653590 
 
 7-3290282 
 
 40 
 
 21 
 
 6-0077942 
 
 6.5940599 
 
 6-8347940 
 
 6-98^711 
 ,6-9909264 
 
 7-1022156 
 
 7-1920802 
 
 7-2665003 
 
 7-3300141 
 
 39 
 
 22 
 
 6-0279975 
 
 6-5993887 
 
 6-8378633 
 
 7-1038764 
 
 7-1934311 
 
 7-2676387 
 
 7-3309978 
 
 38 
 
 23 
 
 6-0473027 
 
 6-6046530 
 
 6-8409110 
 
 6-9^30710 
 
 7-1055309 
 
 7-1947«777 
 
 7-2687741 
 
 7-3319793 
 
 37 
 
 24 
 
 6-0657861 
 
 6-6098542 
 
 6-8439374 
 
 6-9952052 
 
 7-1071790 
 
 7-1961202 
 
 7-2699066 
 
 7-3329585 
 
 36 
 
 25 
 
 6-0835149 
 
 6-6149938 
 
 6-8469429 
 
 6-9973289 
 
 7-1088240 
 
 7-1974586 
 
 7-2710361 
 
 7-3339356 
 
 35 
 
 26 
 
 6-1005482 
 
 6-6200733 
 
 6-8499278 
 
 6-9994422 
 
 7-1104567 
 
 7-1987928 
 
 7-2721627 
 
 7-3349104 
 
 34 
 
 27 
 
 6-116938'fe 
 
 6-6250941 
 
 6-8528923 
 
 7-0015454 
 
 7-1120864 
 
 7-2001230 
 
 7-2732863 
 
 7-3358831 
 
 33 
 
 28 
 
 6-1327329 
 
 6-6300576 
 
 6-8558367 
 
 7-0036383 
 
 7-1137099 
 
 7-2014491 
 
 7-2744071 
 
 7-3368536 
 
 32 
 
 29 
 
 6-1479729 
 
 6-6349649 
 
 6-8587612 
 
 7-0057213 
 
 7-1153274 
 
 7-2027711 
 
 7-2755250 
 
 7-3378219 
 
 31 
 
 30 
 
 6-1626961 
 
 6-6398174 
 
 6-8616662 
 
 7-0077943 
 
 7-1169389 
 
 7-2040892 
 
 7-2766400 
 
 7-3387881 
 
 30 
 
 31 
 
 6-1769366 
 
 6-6446163 
 
 6-8645519 
 
 7-0098575 
 
 7-1185444 
 
 7'2054032 
 
 7-2777521 
 
 7-3397621 
 
 29 
 
 32 
 
 6-1907248 
 
 6-6493627 
 
 6-8674185 
 
 7-0119109 
 
 7-1201440 
 
 7-2067133 
 
 7-2788615 
 
 7-3407140 
 
 28 
 
 33 
 
 6-2040888 6-6540578 
 
 6-8702664 
 
 7-01*39546 
 
 7-1217378 
 
 7-2080195 
 
 7-2799679 
 
 7-3416738 
 
 27 
 
 34 
 
 6-2170538 
 
 6-6587027 
 
 6-8730957 
 
 7-0159888 
 
 7-1233257 
 
 7-2093217 
 
 7-2810716 
 
 7-3426314 
 
 26 
 
 35 
 
 6-3296429 
 
 6-6632985 
 
 6-8759066 
 
 7-0180135 
 
 7-1249078 
 
 7-2106201 
 
 7-2821725 
 
 7-3435870 
 
 25 
 
 36 
 
 6-2418774 
 
 6-6678461 
 
 6-8786995 
 
 7-0200288 
 
 7-1264842 
 
 7-2119145 
 
 7-2832706 
 
 7-3445404 
 
 24 
 
 37 
 
 6-2537766 
 
 6-6723466 
 
 6-881474C 
 
 7-0220348 
 
 7-1280549 
 
 7-2132052 
 
 7-2843659 
 
 7-3454918 
 
 23 
 
 38 
 
 6-2653585 
 
 6-6768010 
 
 6-8842320 
 
 7-0240315 
 
 7-1296199 
 
 7-2144920 
 
 7-2854585 
 
 7-3464411 
 
 22 
 
 39 
 
 6-2766395 
 
 6-6812101 
 
 6-8869721 
 
 7-0260191 
 
 7-1311793 
 
 7-2157750 
 
 7-28^5483 
 
 7-3473883 
 
 21 
 
 40 
 
 6-2876349 
 
 6-6855749 
 
 6-8896949 
 
 7-0279977 
 
 7-1327332 
 
 7-2170542 
 
 7-2876354 
 
 7-34833-r4 
 
 20 
 
 41 
 
 6-2983587 
 
 6-6898963 
 
 6-8924008 
 
 7-0299673 
 
 7-1342815 
 
 7^2183296 
 
 7-2887198 
 
 7-3492765 
 
 19 
 
 42 
 
 6-3088242 
 
 6-6941761 
 
 6-8950900 
 
 7-0319280 
 
 7-1358242 
 
 7-2196014 
 
 7-2898015 
 
 7-3502176 
 
 18 
 
 43 
 
 6-3190433 
 
 6-6984121 
 
 6-8977626 
 
 7-0338799 
 
 7-1373616 
 
 7-2208694 
 
 7-2908805 
 
 7-3511566 
 
 \7 
 
 44 
 
 6-3290275 
 
 6-7026082 
 
 6-9004188 
 
 7-0358231 
 
 7-1388935 
 
 7-222 1337|7-29 1 9568 
 
 7-3520936 
 
 16 
 
 45 
 
 6-3387874 
 
 6-7067642 
 
 6-9030589 
 
 7-0377576 
 
 7-1404200 
 
 7-2233944 
 
 7-2930304 
 
 7-3530286 
 
 15 
 
 46 
 
 6-3483327 
 
 6-7108808 
 
 6-9056830 
 
 7-0396835 
 
 7-1419412 
 
 7-2246514 
 
 7-:^9410i5 
 
 7-3539615 
 
 14 
 
 47 
 
 6-3576727 
 
 6-7149587 
 
 6-9082914 
 
 7-0416009 
 
 7-1434570 
 
 7-2259048 
 
 7-2951698 
 
 7-3548925 
 
 13 
 
 48 
 
 6-3668161 
 
 6-7189987 
 
 6-9108842 
 
 7-0435099 
 
 7-1449676 
 
 7-2271545 
 
 7-2962356 
 
 7-3558215 
 
 12 
 
 49 
 
 6-3757709 
 
 6-7230014 
 
 6-9134617 
 
 7-0454105 
 
 7-1464730 
 
 7-2284007- 
 
 7-2972987 
 
 7-3567485 
 
 11 
 
 50 
 
 6-3845449 
 
 6-7269676 
 
 6-9160239 
 
 7-0473029 
 
 7-1479732 
 
 7-2296433 
 
 7-2983 59.^ 
 
 7-3576735 
 
 10 
 
 51 
 
 6-3931450 
 
 6-7308979 
 
 6-9185711 
 
 7-0491870 
 
 7-149468] 
 
 7-2308824 
 
 7-2994173 
 
 7-3585965 
 
 9 
 
 59 
 
 6-4015782 
 
 6-7347929 
 
 6-9211034 
 
 7-0510630 
 
 7-1509580 
 
 7-2321180 
 
 7-3004727 
 
 7-3695176 
 
 8 
 
 53 
 
 6-4098507 
 
 6-7386534 
 
 6-923621] 
 
 7-0529310 
 
 7-1524428 
 
 7-2333500 
 
 7-3015255 
 
 7-3604368 
 
 7 
 
 54 
 
 6-4179686 
 
 6-7424798 
 
 6-9261242 
 
 7-0547909 
 
 7-1539225 
 
 7-2345786 
 
 7-3025758 
 
 7-3613540 
 
 6 
 
 55 
 
 6-4259376 
 
 6-7462728 
 
 6-9286130 
 
 7-0566429 
 
 7-1553972 
 
 7-2358036 
 
 7-3036235 
 
 7-3622692 
 
 5 
 
 56 
 
 6-4337629 
 
 6-7500329 
 
 6-9310876 
 
 7-0584871 
 
 7-1568669 
 
 7-2370253 
 
 7-3046688 
 
 7-3631826 
 
 4 
 
 57 
 
 6-4414497 
 
 6-7537608 
 
 6-9335482 
 
 7-0603234 
 
 7-1583316 
 
 7-2382435 
 
 7-30571 1^ 
 
 7-3640940 
 
 3 
 
 58 
 
 6-4490029 
 
 6-7574570 
 
 6-9359950 
 
 7-0621520 
 
 7-1597914 
 
 7-2394583 
 
 7-3067517 
 
 7-3650035 
 
 2 
 
 59 
 
 8-4564269 
 
 6-7611219 
 
 6-9384280 
 
 7-0639730 
 
 7-1612464 
 
 7-2406698 
 
 7-3077895 
 
 7-3659112 
 
 1 
 
 60 
 
 6-4637261 
 
 6-7647uG'j 
 
 6-9408475 
 
 7-0657863 
 
 7-1626964 
 
 7-2418778 
 
 7-3088248 
 
 7-3668169 
 
 
 
 // 
 
 59' 
 
 58' 
 
 57' 
 
 56' 
 
 55' 
 
 54' 
 
 53' 
 
 52' 
 
 ir~ 
 
 LOG. COTANGENTS. 3 F 2 89 Dcg. 
 
(220) Deg 
 
 LOG. SINES. 
 
 Tab. 9. 
 
 n 
 
 8' 
 
 9' 
 
 10' 
 
 11' 
 
 12' 
 
 13' 
 
 14' 
 
 15' 
 
 If 
 
 1 
 
 ) 7-3668 157 
 
 7-4179681 
 
 7-4637255 
 
 7-5051181 
 
 7-5429065 
 
 7-5776684 
 
 7-6098530 
 
 7-6398160 
 
 60 
 
 : 
 
 7-3677195 
 
 7-41877 H 
 
 r-4644487 
 
 7-5057756 
 
 7-5435092 
 
 7-5782249 
 
 7-6103697 
 
 7-6402983 
 
 59 
 
 
 ►7-3686215 
 
 7-4195737 
 
 7-4651707 
 
 7-5064321 
 
 7-5441112 
 
 7-5787806 
 
 7-6108858 
 
 7-6407800 
 
 58 
 
 2 
 
 7-3695216 
 
 7-420374/ 
 
 7-4658916 
 
 7-5070876 
 
 7-5447123 
 
 7-5793356 
 
 7-6114012 
 
 7-6412612 
 
 57 
 
 4 
 
 7-3704198 
 
 7-4211733 
 
 7-4666112 
 
 7-5077422 
 
 7-5453125 
 
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 7-6119161 
 
 7-6417419 
 
 56 
 
 5 
 
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 7-4219709 
 
 7-4673296 
 
 7-5083958 
 
 7-5459120 
 
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 7-6124304 
 
 7-6422221 
 
 55 
 
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 7-4680469 
 
 7-5090483 
 
 7-5465106 
 
 7-5809964 
 
 7-6129440 
 
 7-6427017 
 
 54 
 
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 7-4687629 
 
 7-5096999 
 
 7-5471084 
 
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 7-6431808 
 
 53 
 
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 7-4694778 
 
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 7-5477053 
 
 7-5821000 
 
 7-6139695 
 
 7-6436593 
 
 52 
 
 9 
 
 7-3748832 
 
 7-4251467 
 
 7-4701915 
 
 7-5110002 
 
 7-5483015 
 
 7-5826508 
 
 7-6144813 
 
 7-6441373 
 
 51 
 
 10 
 
 7-3757705 
 
 7-4259370 
 
 7-4709041 
 
 7-5116489 
 
 7-5488968 
 
 7-5832009 
 
 7-6149926 
 
 7-6446149 
 
 50 
 
 11 
 
 7-3766559 
 
 7-4267259 
 
 7-4716154 
 
 7-5122966 
 
 7-5494913 
 
 7-5837503 
 
 7-6155032 
 
 7-6450918 
 
 49 
 
 12 
 
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 7-4275134 
 
 7-4723257 
 
 7-5129434 
 
 7-5500850 
 
 7-5842990 
 
 7-6160132 
 
 7-6455683 
 
 48 
 
 13 
 
 7-3784214 
 
 7-4282995 
 
 7-4730347 
 
 7-5135892 
 
 7-5506779 
 
 7-5848470 
 
 7-6165227 
 
 7-6460442 
 
 47 
 
 14 
 
 7-3793014 
 
 7-4290841 
 
 7-4737426 
 
 7-5142340 
 
 7-5512700 
 
 7-5853943 
 
 7-6170315 
 
 7-6465196 
 
 46 
 
 15 
 
 7-3801796 
 
 7-4298673 
 
 7-4744493 
 
 7-5148779 
 
 7-5518613 
 
 7-5859409 
 
 7-6175397 
 
 7-6469945 
 
 45 
 
 16 
 
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 7-4306491 
 
 7-4751549 
 
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 7-5864869 
 
 7-6180474 
 
 7-6474689 
 
 44 
 
 17 
 
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 43 
 
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 42 
 
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 41 
 
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 40 
 
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 7-55^778 
 
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 39 
 
 22 
 
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 7-4353106 
 
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 7-6210809 
 
 7-6503043 
 
 38 
 
 23 
 
 7-3871424 
 
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 7-5199948 
 
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 7-5902893 
 
 7-6215844 
 
 7-6507751 
 
 37 
 
 24 
 
 7-3880050 
 
 7-4368534 
 
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 7-6220873 
 
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 36 
 
 25 
 
 7-3888668 
 
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 7-5577302 
 
 7-5913696 
 
 7-6225897 
 
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 35 
 
 26 
 
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 7-5218982 
 
 7-5583127 
 
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 7-6521844 
 
 34 
 
 27 
 
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 7-4391574 
 
 7-4828417 
 
 7-5225308 
 
 7-5588945 
 
 7-5924473 
 
 7-6235927 
 
 7-6526531 
 
 33 
 
 28 
 
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 7-5231625 
 
 7-5594755 
 
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 7-6240933 
 
 7-6531214 
 
 32 
 
 29 
 
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 7-4406866 
 
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 7-5600557 
 
 7-5935223 
 
 7-6245934 
 
 7-6535891 
 
 31 
 
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 7-5244231 
 
 7-5606352 
 
 7-5940588 
 
 7-6250928 
 
 7-6540563 
 
 30 
 
 31 
 
 7-3939953 
 
 7-4422104 
 
 7-4856035 
 
 7-5250521 
 
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 7-5945946 
 
 7-6255917 
 
 7-6545231 
 
 29 
 
 32 
 
 7-3948444 
 
 7-4429703 
 
 7-4862913 
 
 7-5256801 
 
 7-5617917 
 
 7-5951298 
 
 7-6260901 
 
 7-6549893 
 
 28 
 
 33 
 
 7-3956918 
 
 7-4437289 
 
 7'4S69779 
 
 7-5263073 
 
 7-5623689 
 
 7-5956643 
 
 7-6265878 
 
 7-6554550 
 
 27 
 
 34 
 
 7-3965375 
 
 7-4444862 
 
 7-4876634 
 
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 7-5629452 
 
 7-5961981 
 
 7-6270850 
 
 7-6559203 
 
 26 
 
 35 
 
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 7-5967313 
 
 7-6275816 
 
 7-6563850 
 
 25 
 
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 7-3982241 
 
 7-4459968 
 
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 7-5281833 
 
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 24 
 
 37 
 
 7-3990650 
 
 7-4467501 
 
 7-4897136 
 
 7-5288068 
 
 7-5646698 
 
 7-5977958 
 
 7-6285732 
 
 7-6573130 
 
 23 
 
 38 
 
 7-3999042 
 
 7-4475021 
 
 7-4903949 
 
 7-5294295 7-5652431 
 
 7-6983270 
 
 7-6290681 
 
 7-6577762 
 
 22 
 
 39 
 
 7-4007418 
 
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 7-4910750 
 
 7-5300512 
 
 7-5658157 
 
 7-5988576 
 
 7-6295624 
 
 7-6582390 
 
 21 
 
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 ?^015778 
 
 7-4490023 
 
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 7-5306721 
 
 7-5663875 
 
 7-5993876 
 
 7-6300562 
 
 7-6587012 
 
 20 
 
 41 
 
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 7-5999169 
 
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 19 
 
 42 
 
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 7-6310421 
 
 7-6596243 
 
 18 
 
 43 
 
 7-4040761 
 
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 17 
 
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 16 
 
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 15 
 
 46 
 
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 7-5343787 
 
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 14 
 
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 7-6619233 
 
 13 
 
 48 
 
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 12 
 
 49 
 
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 7-6628395 
 
 11 
 
 50 
 
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 7-4564263 
 
 7-4984875 
 
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 10 
 
 51 
 
 7-4106689 
 
 7-4571618 
 
 7-4991551 
 
 7-5374436 
 
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 7-6637538 
 
 9 
 
 52 
 
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 7-4998217 
 
 7-5380540 
 
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 7-6056970 
 
 7-6359384 
 
 7-6642103 
 
 8 
 
 53 
 
 7-4123016 
 
 7-4586290 
 
 7-5004873 
 
 7-5386635 
 
 7-5737533 
 
 7-6062187 
 
 7-6364250 
 
 7-6646662 
 
 7 
 
 54 
 
 7-4131156 
 
 7-4593607 
 
 7-5011519 
 
 7-5392722 
 
 7-5743148 
 
 7-6067397 
 
 7-6369110 
 
 7-6651217 
 
 6 
 
 55 
 
 7-4139282 
 
 7-4600912 
 
 7-5018154 
 
 7-5398800 
 
 7-5748755 
 
 7-6072602 
 
 7-6373965 
 
 7-6655767 
 
 5 
 
 56 
 
 7-4147392 
 
 7-4608205 
 
 7-5024780 
 
 7-5404870 
 
 7-5754356 
 
 7-6077800 
 
 7-6378815 
 
 7-6660312 
 
 4 
 
 57 
 
 7-4155487 
 
 7-4615486 
 
 7-5031395 
 
 7-5410931 
 
 7-5759949 
 
 7-6082991 
 
 7-6383659 
 
 7-6664852 
 
 3 
 
 58 
 
 7-4163567 
 
 7-4622754 
 
 7-5038000 
 
 7-5416984 
 
 7-5765534 
 
 7-6088177 
 
 7-6388498 
 
 7-6669388 
 
 2 
 
 59 
 
 7-4171631 
 
 7-4630011 
 
 7-5044595 
 
 7-5423029 
 
 7-5771113 
 
 7-6093356 
 
 7-6393332 
 
 7-6673919 
 
 1 
 
 60 
 
 T 
 
 7-4179681 
 
 7-4637255 
 
 7-5051181 
 
 7-5429065 
 
 7-5776684 
 
 7-6098530 
 
 7-6398160 
 
 7-6678445 
 
 
 
 51' 
 
 50' 
 
 49' 
 
 48' 
 
 47' 
 
 46' 
 
 45' 
 
 44' 
 
 II 
 
 LOG. COSINES. 
 
 89 Deff. 
 

 
 Deg. 
 
 '' 
 
 LOG. TA5JGENTS. 
 
 
 (221) 
 
 n 
 
 8' 
 
 9' 
 
 10' 
 
 11' 
 
 12' 
 
 13' 
 
 14' 
 
 15' 
 
 // 
 
 *o 
 
 7-3668169 
 
 7-4179696 
 
 7-4637273 
 
 7-505120.:! 
 
 7-5429091 
 
 7-5776715 
 
 7-6098566 
 
 7-6398201 
 
 60 
 
 1 
 
 7-3677207 
 
 7-4187731 
 
 7-4644506 
 
 7-5057778 
 
 7-5435119 
 
 7-5782280 
 
 7-6103733 
 
 7-6403024 
 
 59 
 
 2 
 
 7-3686227 
 
 7-4195752 
 
 7-4651726 
 
 7-5064343 
 
 7-5441138 
 
 7-5787837 
 
 7-6108894 
 
 7-6407842 
 
 58 
 
 3 
 
 7-3695228 
 
 7-4203757 
 
 7-4658934 
 
 7-5070899 
 
 7-5447149 
 
 7-5793387 
 
 7-6114049 
 
 7-6412654 
 
 57 
 
 4 
 
 7-i704210 
 
 7-4211748 
 
 7-4666130 
 
 7-5077444 
 
 7-5453152 
 
 7-5798930 
 
 7-6119197 
 
 7-6417461 
 
 56 
 
 b 
 
 7-3713174 
 
 7-4219724 
 
 7-4673315 
 
 7-5083980 
 
 7-5459147 
 
 7-5804466 
 
 7-6124340 
 
 7-6422262 
 
 55 
 
 6 
 
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 7-4227685 
 
 7-4680487 
 
 7-5090506 
 
 7-5465133 
 
 7-5809995 
 
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 7-6427059 
 
 54 
 
 7 
 
 7-3731046 
 
 7-4235632 
 
 7-468764^ 
 
 7-5097022 
 
 7-5471111 
 
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 7-6134607 
 
 7-6431850 
 
 53 
 
 8 
 
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 7-4243564 
 
 7-4694797 
 
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 7-5477080 
 
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 7-6436635 
 
 52 
 
 9 
 
 7-3748845 
 
 7-4251482 
 
 7-4701934 
 
 7-5110025 
 
 7-5483042 
 
 7-6826540 
 
 7-6144850 
 
 7-6441416 
 
 51 
 
 10 
 
 7-3757718 
 
 7-4259386 
 
 7-4709060 
 
 7-5116512 
 
 7-5488995 
 
 7-5832041 
 
 7-6149963 
 
 7-6446191 
 
 50 
 
 11 
 
 7-3766572 
 
 7-4267275 
 
 7-4716173 
 
 7-5122989 
 
 7-5494941 
 
 7-5837535 
 
 7-6155069 
 
 7-6450961 
 
 49 
 
 12 
 
 7-3775408 
 
 7-4275150 
 
 7-4723276 
 
 7-5129457 
 
 7-5500878 
 
 7-5843022 
 
 7-6160169 
 
 7-6455725 
 
 48 
 
 13 
 
 7-3784226 
 
 7-4283010 
 
 7-4730366 
 
 7-5135915 
 
 7-5506807 
 
 7-5848502 
 
 7-6165264 
 
 7-6460485 
 
 47 
 
 14 
 
 7-37,93026 
 
 7-4290857 
 
 7-4737445 
 
 7-5142363 
 
 7-5512728 
 
 7-5853975 
 
 7-6170352 
 
 7-6465239 
 
 46 
 
 15 
 
 7-3801809 
 
 7-4298689 
 
 7-4744513 
 
 7-5148802 
 
 7-5518640 
 
 7-5869441 
 
 7-6175435 
 
 7-6469988 
 
 45 
 
 16 
 
 7-3810574 
 
 7-4306507 
 
 7-4751569 
 
 7-5155231 
 
 7-5524545 
 
 7-5864901 
 
 7-6180511 
 
 7-6474732 
 
 44 
 
 17 
 
 7-3819321 
 
 7-4314311 
 
 7-4758613 
 
 7-5161651 
 
 7-5530442 
 
 7-5870353 
 
 7-6185582 
 
 7-6479471 
 
 43 
 
 18 
 
 7-3828051 
 
 7-4322101 
 
 7-4765646 
 
 7-5168061 
 
 7-5536331 
 
 7-5875799 
 
 7-6190647 
 
 7-6484204 
 
 42 
 
 19 
 
 7-3836763 
 
 7-4329877 
 
 7-4772668 
 
 7-5174462 
 
 7-5542212 
 
 7-5881238 
 
 7-6195705 
 
 7-6488933 
 
 41 
 
 20 
 
 7-3845457 
 
 7-4337640 
 
 7-4779679 
 
 7-5180854 
 
 7-5548084 
 
 7-5886670 
 
 7-6200758 
 
 7-6493656 
 
 40 
 
 21 
 
 7-3854134 
 
 7-4345388 
 
 7-4786678 
 
 7-5187236 
 
 7-5553949 
 
 7-5892096 
 
 7-6205805 
 
 7-6498374 
 
 39 
 
 22 
 
 7-3862794 
 
 7-4353123 
 
 7-4793666 
 
 7-5193608 
 
 7-5559806 
 
 7-5897514 
 
 7-6210847 
 
 7-6503087 
 
 38 
 
 23 
 
 7-3871437 
 
 7-4360843 
 
 7-4800642 
 
 7-5199972 
 
 7-5565656 
 
 7-5902926 
 
 7-6215882 
 
 7-6507795 
 
 37 
 
 24 
 
 7-3880063 
 
 7-4368551 
 
 7-4807608 
 
 7-5206326 
 
 7-5571497 
 
 7-5908331 
 
 7-6220911 
 
 7-6512497 
 
 36 
 
 25 
 
 7-3888671 
 
 7-4376244 
 
 7-4814562 
 
 7-5212670 
 
 7-5577330 
 
 7-5913730 
 
 7-6325935 
 
 7-6517195 
 
 35 
 
 26 
 
 7-3897263 
 
 7-4383924 
 
 7-4821505 
 
 7-5219006 
 
 7-5583156 
 
 7-5919121 
 
 7-6230953 
 
 7-6521888 
 
 34 
 
 27 
 
 7-3905837 
 
 7-4391590 
 
 7-4828437 
 
 7-5225332 
 
 7-5588974 
 
 7-5924506 
 
 7-6235965 
 
 7-6526575 
 
 33 
 
 28 
 
 7-3914395 
 
 7-4399243 
 
 7-4835359 
 
 7-5231649 
 
 7-5594784 
 
 7-5929884 
 
 7-6240972 
 
 7-6531258 
 
 32 
 
 29 
 
 7-3922935 
 
 7-4406882 
 
 7-4842269 
 
 7-5237957 
 
 7-5600586 
 
 7-5935256 
 
 7-6245972 
 
 7-6535935 
 
 31 
 
 30 
 
 7-3931459 
 
 7-4414508 
 
 7-4849168 
 
 7-5244256 
 
 7-5606380 
 
 7-5940621 
 
 7-6250967 
 
 7-6540608 
 
 30 
 
 31 
 
 7-3939967 
 
 7-4422121 
 
 7-4856056 
 
 7-5250545 
 
 7-5612167 
 
 7-5945980 
 
 7-6255956 
 
 7-6545275 
 
 29 
 
 32 
 
 7-3948457 
 
 7-4429720 
 
 7-4862933 
 
 7-5266826 
 
 7-5617946 
 
 7-5951331 
 
 7-6260939 
 
 7-6549937 
 
 28 
 
 33 
 
 7-3956931 
 
 7-4437306 
 
 7-4869799 
 
 7-5263097 
 
 7-5623718 
 
 7-5956677 
 
 7-6265917 
 
 7-6554595 
 
 27 
 
 34 
 
 7-3965389 
 
 7-4444879 
 
 7-4876655 
 
 7-5269360 
 
 7-5629481 
 
 7-5962015 
 
 7-6270889 
 
 7-6559247 
 
 26 
 
 35 
 
 7-3973830 
 
 7-4452438 
 
 7-4883ri00 
 
 7-5275613 
 
 7-5635238 
 
 7-5967347 
 
 7-6275855 
 
 7-6563895 
 
 25 
 
 36 
 
 7-3982255 
 
 7-4459985 
 
 7-4890334 
 
 7-5281858 
 
 7-5640986 
 
 7-5972673 
 
 7-6280816 
 
 7-6568537 
 
 24 
 
 37 
 
 7-3990663 
 
 7-4467518 
 
 7-4897157 
 
 7-5288093 
 
 7-5646727 
 
 7-5977992 
 
 7-6285771 
 
 7-6573174 
 
 23 
 
 38 
 
 7-3999055 
 
 7-4475038 
 
 7-4903969 
 
 7-5294319 
 
 7-5652460 
 
 7-5983304 
 
 7-6290720 
 
 7-6577807 
 
 22 
 
 39 
 
 7-4007431 
 
 7-4482546 
 
 7-4910771 
 
 7-5300537 
 
 7-5658186 
 
 7-59886 U 
 
 7-6295664 
 
 7-6582435 
 
 21 
 
 40 
 
 7-4015791 
 
 7-4490040 
 
 7-4917562 
 
 7-5306746 
 
 7-5663904 
 
 7-5993910 
 
 7-6300602 
 
 7-6587057 
 
 20 
 
 41 
 
 7-4024135 
 
 7-4497521 
 
 7-4924343 
 
 7-5312946 
 
 7-5669615 
 
 7-5999203 
 
 7-6305534 
 
 7-6591675 
 
 19 
 
 42 
 
 7-4032463 
 
 7-4504990 
 
 7-4931113 
 
 7-5319137 
 
 7-5675318 
 
 7-6004490 
 
 7-6310461 
 
 7-6596288 
 
 18^ 
 
 43 
 
 7-4040775 
 
 7-4512446 
 
 7-4937872 
 
 7-5325319 
 
 7-5681014 
 
 7-6009770 
 
 7-6315382 
 
 7-6600896 
 
 17 
 
 44 
 
 7-4049071 
 
 7-4519889 
 
 7-4944621 
 
 7-5331492 
 
 7-5686702 
 
 7 -60 15044 
 
 7-6320298 
 
 7-6605499 
 
 16 
 
 45 
 
 7-4057351 
 
 7-4527319 
 
 7-4951360 
 
 7-5337657 
 
 7-5692383 
 
 7-6020311 
 
 7-6325208 
 
 7-6610097 
 
 16 
 
 46 
 
 7-4065616 
 
 7-4534737 
 
 7-4958088 
 
 7-5343813 
 
 7-5698056 
 
 7-6025572 
 
 7-6330113 
 
 7-6614690 
 
 14 
 
 47 
 
 7-4073864 
 
 7-4542141 
 
 7-4964806 
 
 7-5349960 
 
 7-5703722 
 
 7-6030827 
 
 7-6335012 
 
 7-6619279 
 
 13 
 
 48 
 
 7-4082097 
 
 7-4549534 
 
 7-4971513 
 
 7-5356098 
 
 7-5709381 
 
 7-6036075 
 
 7-6339905 
 
 7-6623863 
 
 12 
 
 49 
 
 7-4090315 
 
 7-4556913 
 
 7-4978210 
 
 7-5362228 
 
 7-5715032 
 
 7-6041317 
 
 7-6344793 
 
 7-6628441 
 
 11 
 
 50 
 
 7-4098517 
 
 7-4564281 
 
 7-4984897 
 
 7-5368349 
 
 7-5720676 
 
 7-6046553 
 
 7-6349676 
 
 7-6633015 
 
 10 
 
 51 
 
 7-4106703 
 
 7-4571635 
 
 7-4991573 
 
 7-5374462 
 
 7-5726313 
 
 7-6051782 
 
 7-6354553 
 
 7-6637586 
 
 9 
 
 52 
 
 7-4114875 
 
 7-4578978 
 
 7-4998239 
 
 7-5380566 
 
 7-5731942 
 
 7-6057005 
 
 7-6359424 
 
 7-6642149 
 
 8 
 
 53 
 
 7-4123030 
 
 7-4586308 
 
 7-5004895 
 
 7-5386661 
 
 7-5737564 
 
 7-6062222 
 
 7-6364290 
 
 7-6646709 
 
 7 
 
 54 
 
 7-4131171 
 
 7-4593625 
 
 7-5011541 
 
 7-5392748 
 
 7-5743179 
 
 7-6067433 
 
 7-6369151 
 
 7-6651263 
 
 6 
 
 55 
 
 7-4139296 
 
 7-4600930 
 
 7-5018176 
 
 7-5398826 
 
 7-5748786 
 
 7-6072637 
 
 7-6374006 
 
 7-6655813 
 
 5 
 
 56 
 
 7-4147406 
 
 7-4608223 
 
 7-5024802 
 
 7-5404896 
 
 7-5754386 
 
 7-6077835 
 
 7-6378856 
 
 7-6660359 
 
 4 
 
 57 
 
 7-4155501 
 
 7-4615504 
 
 7-5031417 
 
 7-5410958 
 
 7-5759979 
 
 7-6083027 
 
 7-6383700 
 
 7-6664899 
 
 3 
 
 58 
 
 7-4163581 
 
 7-4622773 
 
 7-5038022 
 
 7-5417011 
 
 7-5765565 
 
 7-6088213 
 
 7-6388539 
 
 7-6669435 
 
 2 
 
 59 
 
 7-4171646 
 
 7-4630030 
 
 7-5044618 
 
 7-5423055 
 
 7-5771144 
 
 7-6093392 
 
 7-6393373 
 
 7-66739S6 
 
 1 
 
 60 
 
 7-4179696 
 
 7-4637273 
 
 7-5051203 
 
 7-5429091 
 
 7-5776715 
 
 7-6098566 
 
 7-6398201 
 
 7-6678492 
 
 
 
 // 
 
 51' 
 
 5(y 
 
 49' 
 
 48' 
 
 47' 
 
 46' 
 
 45' 
 
 44' 
 
 II 
 
 LOG. COTATCfiF.TVrTS- 
 
 «Q TiPiT 
 
(^22) i 
 
 [) Deg. 
 
 
 LOG. 
 
 SINES. 
 
 
 
 Tab. 9, 
 
 If 
 
 \& 
 
 17' 
 
 18' 
 
 10' 1 20' 
 
 21' 1 22' 
 
 23' 
 
 // 
 60 
 
 ~€ 
 
 7-66784-U 
 
 7-6941733 
 
 7-7189966 
 
 7-7424775 17-7647537 
 
 7-7859427,7-8061458 
 
 7-8254507 
 
 1 
 
 7-6682967 
 
 7-v>"9459HB 
 
 7-7193986 
 
 7-7428583:7-7651] 54 
 
 7-7862872;7-8064747 
 
 7-8257653 
 
 59 
 
 '2 
 
 7-6687484 
 
 7-6950240 
 
 7-7198001 
 
 7-7432388 '7-7654769 
 
 7-7866315 7-8068033 
 
 7-8260797 
 
 58 
 
 3 
 
 7-6691996 
 
 7-6954487 
 
 7-7202013 
 
 7-7436 189'7.7658380 
 
 7-7869756|7-807l3l7 
 
 7-8263938 
 
 57 
 
 4 
 
 7-6696503 
 
 7-6958730 
 
 7-7206021 
 
 7-7439987 7-7661989 
 
 7-7873 1 9217-8074599 
 
 7-8267077 
 
 56 
 
 5 
 
 7-67ai006 
 
 7-6962969 
 
 7-7210026 
 
 7-74437817-7665594 
 
 7-7876627|7-8077878 
 
 7-8270214 
 
 55 
 
 6 
 
 7-6705504 
 
 7-6967204 
 
 7-7214027 
 
 7-7447573 17-766"9 197 
 
 7-7880058 7-8081154 
 
 7-8273348 
 
 54 
 
 7 
 
 7-6709998 
 
 7-6971435 
 
 7-7218024 
 
 7-74513607-7672797 
 
 7-7883488 17-8084428 
 
 7-8276481 
 
 53 
 
 8 
 
 7-6714486 
 
 7-6975662 
 
 7-7222017 
 
 7-7455145:7-7676393 
 
 7-7886914 
 
 7-8087699 
 
 7-8279611 
 
 52 
 
 9 
 
 7-6718970 
 
 7-6979884 
 
 7-7226007 
 
 7-745892617-7679987 
 
 7-7890337 
 
 7-8090968 
 
 7-8282738 
 
 61 
 
 10 
 
 7-6723450 
 
 7-69841 03J7-7229993 
 
 7-7462705 
 
 7-76S3b77 
 
 7-7893758 
 
 7-8094235 
 
 7-8285864 
 
 50 
 
 11 
 
 7-6727925 
 
 7-69883 l7i7-7233976 
 
 7-7466479 
 
 7-7627165 
 
 7-7897177 
 
 7-8097499 
 
 7-8288987 
 
 49 
 
 12 
 
 7-6732395 
 
 7-6992528 
 
 7-7237955 
 
 7-7470251 
 
 7-7690750 
 
 7-7900593 
 
 7-8100761 
 
 7-8292108 
 
 48 
 
 13 
 
 7-6736861 
 
 7-6996734 
 
 7-7241930 
 
 7-7474019 
 
 7-7694332 
 
 7-7904005 
 
 7-8104020 
 
 7-8295227 
 
 47 
 
 14 
 
 7-6741322 
 
 7-7000936 
 
 7-7245902 
 
 7-7477784 
 
 7-7697910 
 
 7-7907415 
 
 7-8107277 
 
 7-8298343 
 
 46 
 
 15 
 
 7-6745779 
 
 7-7005134 
 
 7-7249869 
 
 7-7481546 
 
 7-7701486 
 
 7-7910823 
 
 7-8110531 
 
 7-8301458 
 
 45 
 
 16 
 
 7-6750231 
 
 7-7009328 
 
 7-7253834 
 
 7-7485304 
 
 7-7705059 
 
 7-7914228 
 
 7-8113783 
 
 7-8304570 
 
 44 
 
 17 
 
 7-6754678 
 
 7-7013518 
 
 7-7257794 
 
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 7-7917630 
 
 7-8117032 
 
 7-8307680 
 
 43 
 
 18 
 
 7-6759121 
 
 7-7017704 
 
 7-7261752 
 
 7-7492811 
 
 7-7712196 
 
 7-7921029 
 
 7-8120279 
 
 7-8310787 
 
 42 
 
 19 
 
 7-6763559 
 
 7-7021886 
 
 7-7265705 
 
 7-7496560 
 
 7-7715760 
 
 7-7924426 
 
 7-8123524 
 
 7-8313893 
 
 41 
 
 20 
 
 7-6767993 
 
 7-7026064 
 
 7-7269655 
 
 7-7500306 
 
 7-7719322 
 
 7-7927820 
 
 7-8126766 
 
 7-8316996 
 
 40 
 
 21 
 
 7-6772422 
 
 7-7030238 
 
 7-7273601 
 
 7-7504048 
 
 7-7722880 
 
 7-7931212 
 
 7-8130006 
 
 7-8320097 
 
 39 
 
 22 
 
 7'6776B47 
 
 7-7034407 
 
 7-7277544 
 
 7-75077S7 
 
 7-7726435 
 
 7-7934601 
 
 7-8133243 
 
 7-8323195 
 
 38 
 
 23 
 
 7-6781267 
 
 7-7038573 
 
 7-7281483 
 
 7-7511523 
 
 7-7729988 
 
 7-7937987 
 
 7-8136478 
 
 7-8326292 
 
 37 
 
 24 
 
 7-6785683 
 
 7-7042735 
 
 7-7285419 
 
 7-7515255 
 
 7-7733537 
 
 7-7941371 
 
 7-8139711 
 
 7-8329386 
 
 36 
 
 25 
 
 7-6790094 
 
 7-7046893 
 
 7-7289351 
 
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 7-7737084 
 
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 7-8142941 
 
 7-8332478 
 
 35 
 
 26 
 
 7-6794501 
 
 7-7051047 
 
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 7-7948130 
 
 7-8146168 
 
 7-8335568 
 
 34 
 
 27 
 
 7-6798904 
 
 7-7055197 
 
 7-7297204 
 
 7-7526434 
 
 7-7744169 
 
 7-7951606 
 
 7-8149394 
 
 7-8338656 
 
 33 
 
 2« 
 
 7-6803302 
 
 7-7059343 
 
 7-7301125 
 
 7-7530154 
 
 7-7747707 
 
 7-7954879 
 
 7-81 52617 
 
 7-8341741 
 
 32 
 
 29 
 
 7-6807695 
 
 7-7063485 
 
 7-7305043 
 
 7-7533871 
 
 7-7751242 
 
 7-7958250 
 
 7-8155837 
 
 7-8344825 
 
 31 
 
 30 
 
 7-6812084 
 
 7-7067623 
 
 7-7308957 
 
 7-7537584 
 
 7-7754774 
 
 7-7961617 
 
 7-8169055 
 
 7-8347906 
 
 30 
 
 31 
 
 7-6816469 
 
 7-7071757 
 
 7-7312868 
 
 7-7541294 
 
 7-7758303 
 
 7-7964983 
 
 7-8162271 
 
 7-8350985 
 
 29 
 
 32 
 
 7-6820849 
 
 7-7075887 
 
 7-7316776 
 
 7-7545001 
 
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 7-7968345 
 
 7-8165484 
 
 7-8354062 
 
 28 
 
 33 
 
 7-6825224 
 
 7-7080014 
 
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 7-7765354 
 
 7-7971705 
 
 7-8168695 
 
 7-8357136 
 
 27 
 
 34 
 
 7-6829596 
 
 7-7084136 
 
 7-7324579 
 
 7-7552406 
 
 7-7768874 
 
 7-7975063 
 
 7-8171904 
 
 7-8360209 
 
 26 
 
 35 
 
 7-6833963 
 
 7-7088254 
 
 7-7328476 
 
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 7-7772392 
 
 7-7978418 
 
 7-8175110 
 
 7-8363279 
 
 25 
 
 36 
 
 7-6838325 
 
 7-7092369 
 
 7-7332369 
 
 7-7559798 
 
 7-7775907 
 
 7-7981770 
 
 7-8178314 
 
 7-8366347 
 
 24 
 
 37 
 
 7-6842683 
 
 7-7096480 
 
 7-7336259 
 
 7-7563490 
 
 7-7779420 
 
 7-7985120 
 
 7-8181516 
 
 7-8369413 
 
 23 
 
 38 
 
 7-6847037 
 
 7-7100586 
 
 7-7340145 
 
 7-7567 17S 
 
 7-7782929 
 
 7-7988467 
 
 7-8184715 
 
 7-8372477 
 
 22 
 
 39 
 
 7-6851387 
 
 7-7104689 
 
 7-7344028 
 
 7-7570863 
 
 7-7786436 
 
 7-7991811 
 
 7-8187912 
 
 7-8375538 
 
 21 
 
 40 
 
 7-6855732 
 
 7-7108788 
 
 7-7347908 
 
 7-7574545 
 
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 7-8191106 
 
 7-8378598 
 
 20 
 
 41 
 
 7-6860072 
 
 7-7112883 
 
 7-7351783 
 
 7-7578224 
 
 7-7793440 
 
 7-7998493 
 
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 7-8381655 
 
 19 
 
 42 
 
 7-6864409 
 
 7-7116975 
 
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 7-7581900 
 
 7-7796938 
 
 7-8001830 
 
 7-8197488 
 
 7-8384710 
 
 18 
 
 43 
 
 7-6868741 
 
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 17 
 
 44 
 
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 16 
 
 45 
 
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 15 
 
 46 
 
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 14 
 
 47 
 
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 13 
 
 48 
 
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 12 
 
 49 
 
 7-6894643 
 
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 11 
 
 50 
 
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 7-8409074 
 
 10 
 
 51 
 
 7-6903243 
 
 7-7153624 
 
 7-7390353 
 
 7-76I4R42 
 
 7-7828295 
 
 7-8031746 
 
 7-8226091 
 
 7-8412110 
 
 9 
 
 52 
 
 7-6907536 
 
 7-7157677 
 
 7-7394191 
 
 7-7618487 
 
 7-7831765 
 
 7-8035058 
 
 7-8229258 
 
 7-3415144 
 
 8 
 
 53 
 
 7-6911826 
 
 7-7161726 
 
 7-7398026 
 
 7-7622129 
 
 7-7835233 
 
 7-8038367 
 
 7-8232422 
 
 7-8418176 
 
 7 
 
 54 
 
 7-6916111 
 
 7-7165772 
 
 7-7401857 
 
 7-7625768 
 
 7-7838697 
 
 7-8041673 
 
 7-8235584 
 
 7-8421205 
 
 6 
 
 55 
 
 7-6920392 
 
 7-7169814 
 
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 7-7629403 
 
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 7-8044977 
 
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 5 
 
 56 
 
 7-6924668 
 
 7-7173852 
 
 7-7409510 
 
 7-7633036 
 
 7-7845618 
 
 7-8048278 
 
 7-8241901 
 
 7-8427258 
 
 4 
 
 57 
 
 7-6928941 
 
 7-7177886 
 
 7-7413331 
 
 7-7636666 
 
 7-7849075 
 
 7-8051577 
 
 7-8245056 
 
 7-8430281 
 
 3 
 
 58 
 
 7-6933209 
 
 7-7181917 
 
 7-7417149 
 
 7-7640292 
 
 7-7852528 
 
 7-8054873 
 
 7-8248209 
 
 7-8433302 
 
 2 
 
 59 
 
 7-6937473 
 
 7-7185943 
 
 7-7420964 
 
 7-7643916 
 
 7-7855979 
 
 7-8058167 
 
 7-8251359j7-8436321 
 
 1 
 
 60 
 
 7-6941733 
 
 7-7189966 
 
 7-7424775 
 
 7-7647537 
 
 7-7859427 
 
 7-8061458 
 
 7-8254507 7-8439338 
 
 
 
 If 
 
 43' 
 
 42' 
 
 41' 
 
 40' 
 
 39' 
 
 38' 
 
 37' 3(>' 
 
 // 
 
 LOG. COSINES. 
 
 89 Deg. 
 
Deg. 
 
 LOG. TANGENTS. 
 
 (223) 
 
 16' 
 
 17' 
 
 IS' 
 
 19' 
 
 20' 
 
 21 
 
 22' 
 
 23' 
 
 7-6678492 
 7-6683014 
 7-6687531 
 7-6692043 
 7-6696551 
 7-6701053 
 7-6705552 
 7-6710045 
 7-6714534 
 7-6719018 
 7-6723498 
 7-Q727973 
 7-6732443 
 7-Q7^S9Q9 
 7-674 1 37 1 
 7-6745827 
 7-6750279 
 7-G7M727 
 7-6759170 
 
 7' 
 
 7' 
 
 7' 
 
 7' 
 
 7' 
 
 7' 
 
 7- 
 
 7' 
 
 7- 
 
 7' 
 
 7' 
 
 7' 
 
 7- 
 
 7-6996788 
 
 7-7000990 
 
 7-7005189 
 
 7-7009383 
 
 7-7013573 
 
 7-7017759 
 
 6941786 
 6946042 
 6950293 
 6954541 
 6958784 
 6963023 
 6967258 
 6971489 
 G9757\e 
 e9799?,'6 
 6984157 
 6988371 
 6992582 
 
 7-6763608 7' 
 7-6768042 7' 
 7-677247 1|7' 
 7-6776'S967- 
 7-678131717' 
 7-6785733,7' 
 7-6790 144:7' 
 7-67945517' 
 7-6798953 7" 
 7-680335 1 ;7■ 
 7.•6807745:7• 
 7-68 12134:7- 
 7-68165197- 
 7-6820899 7- 
 7-6825275 7- 
 7-68296467- 
 7-68340137- 
 7-6838376'7- 
 7-6842734'7 
 7-6847088 ;7 
 7-6851438,7 
 7-6855783|7 
 7-6860124,7 
 7-6864460|7 
 7-6868792(7 
 7-68731207 
 7-6877444i7 
 46 7-6881763,7 
 
 7-6886078|7 
 7-6890389 7 
 7-6894695 
 7-6898997 
 7-690329 
 
 7-6907589 
 7-6911878 
 7-6916163 
 7-6920444 
 7-6924721 
 7-6928993 
 7-6933262 
 7-6937526 
 7-6941786 
 
 7021941 
 7026119 
 7030293 
 7034463 
 7038629 
 7042791 
 7046949 
 7051103 
 7055253 
 7069399 
 7063541 
 7067679 
 •7071813 
 •7075944 
 -7080070 
 •7084193 
 •708831 
 •7092426 
 •7096537 
 -7100643 
 •7104746 
 -7108846 
 •7112941 
 •7117032 
 
 •7121120 
 •7125203 
 •7129283 
 •7133359 
 •7137432 
 •7141500 
 
 •7145565 
 ■7149625 
 •7153682 
 ■7157736 
 ■7161785 
 ■7165831 
 ■7169873 
 ■7173911 
 7177945 
 ■7181976 
 ■7186003 
 •7190026 
 
 7-7190026 
 7-7194045 
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 7-7202073 
 7-7206081 
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 7-7214087 
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 7-7222078 
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 7-7230054 
 7-7234037 
 7-7238016 
 7-7241991 
 7-7245963 
 -7249931 
 7-7253895 
 7-7257856 
 7-7261813 
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 7-727 S66:i 
 7-7277606 
 7-7281545 
 7-7285481 
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 7-7301188 
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 7-7309020 
 7-7312931 
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 7-7324643 
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 7-7332433 
 7-7336323 
 7^7340209 
 7-7344092 
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 7-7367317 
 7-7371176 
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 7-7378883 
 
 7424841 
 7428649 
 7432454 
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 7^7496629 
 
 7-7500374 
 
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 7^7533940 
 
 7-7537654 
 
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 7 
 
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 7405751 
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 7421030 
 7424841 
 
 7-7647610 
 7-7651228 
 7-7654843 
 7-7658464 
 7-7662063 
 7-7665669 
 7 -7 66927 \ 
 7-7672%7\ 
 7-7676468 
 7-7680061 
 7-7683652 
 7-7687240 
 7-7690825 
 
 7-7694407 
 7-76979S6 
 77701562 
 7-7705135 
 
 7-7708705 
 77712272 7 
 
 7 
 7 
 
 7 
 
 7 
 
 7859503 
 7862954 
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 8061547 
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 7-7883569 
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 7921113 
 
 7715836 
 7719398 
 7722956 
 7726512 
 7730064 
 7733614 7 
 
 77371617 
 7740705|7 
 7744246 7 
 
 7747784 
 7751319 
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 •7924510 
 •7927904 
 •7931296 
 •793468.^ 
 •7938071 
 ■7941455 
 •7944836 
 •7948215 
 ■7961590 
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 7^7758381 7^7965068 
 7^776l907i7-796843l 
 77765431 7-7971791 
 
 7-7763952 
 7-7772470 
 7-7775985 
 7-777949S 
 7-7783007 
 7-7786514 
 7-7790018 
 
 •7563560 
 •7567249 
 ■7570934 
 7574616 
 
 ■7578295 7-779351 
 7581971 7-7797017 
 
 ■7585644 
 7589313 
 •7592980 
 7596643 
 7600304 
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 7-7607615 7' 
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 7-761491517' 
 7-761856017' 
 
 762220217' 
 7-762584017' 
 7-7629476i7' 
 
 76331097 
 7-7636739 7- 
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 ■7800513 
 
 ■780400 
 
 ■7807495 
 
 7810982 
 
 •7814466 
 
 7817948 
 
 7821426 
 
 7824902 
 
 7828375 
 
 7831845 
 
 7835313 
 
 7838778 
 
 7842240 
 
 7845699 
 
 7849155 
 
 7852609 
 
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 785950B 
 
 7-7975148 
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 7-8038455 
 7-8041761 
 
 8045065 
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 8054962 
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 8061547 
 
 7-8084518 
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 7-8113874 
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 7-8226187 
 7-8229354 
 7-8232518 
 7-8235680 
 8238840 
 7-8241997 
 7-8245153 
 7-8248305 
 7-8251456 
 7-8254604 
 
 7-8351087 
 7-8354163 
 7-8357238 
 7-8360311 
 7-8363381 
 7-8366449 
 7-8369516 
 7-8372579 
 7-8375641 
 7-8378701 
 7-8381758 
 7-8384813 
 7-8387867 
 7-8390918 
 7-8393966 
 7-8397013 
 7-8400058 
 7-8403100 
 7-8406140 
 7-8409179 
 7-8412215 
 7-8415249 
 7-8418280 
 7-8421310 
 7-8424338 
 7-8427363 
 7-8430387 
 7-8433408 
 7-8436427 
 7-8439444 
 
 7-8254604 
 
 7-8257750 
 
 7-8260894 
 
 7-8264036 
 
 7-8267175 
 
 7-8270312 
 
 7-8273446 
 
 7-8276579 
 
 7-8279709 
 
 7-8282837 
 
 7-8285962 
 
 7-8289086 
 
 7-8292207 
 
 7-8295326 
 
 7-8298443 
 
 7-8301557 
 
 7-8304669 
 
 7-8307779 
 
 7-8310887 
 
 7-8313992 
 
 7-8317096 
 
 7-8320197 
 
 7-8323296 38 
 
 7-8326392 37 
 
 7-8329487 36 
 
 7-8332579 35 
 
 7-8335669 34 
 
 7-8338757 
 
 7-8341843 32 
 
 7-8344926 31 
 
 7-8348007 30 
 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 17 
 16 
 15 
 14 
 13 
 12 
 11 
 10 
 9 
 8 
 7 
 6 
 5 
 4 
 3 
 2 
 
 43' 
 
 ^2' 
 
 41', 
 
 40' 
 
 39'. 
 
 3S' 
 
 37 
 
 36' 
 
 T Ofi rn'r A 'Kfnv^jTfi 
 
 80 ryprp 
 
(224) Deg. 
 
 
 LOC^. SINES. 
 
 
 
 lab. 9 
 
 — "T! 
 
 IT 
 
 24' 
 
 25' 
 
 26' 
 
 27' 
 
 28' 
 
 29' 
 
 80' 
 
 31' 
 
 u 
 
 ~o 
 
 7-8439338 
 
 7-8616623 
 
 7-8786953 
 
 7-8950854 
 
 7-9108793 
 
 7-9261190 
 
 7-9408419 ' 
 
 7-9550819 601 
 
 
 7-8442353 
 
 7-8619517 
 
 7-8789736 
 
 7-8953534 
 
 7-9111378 
 
 7-9263685 
 
 7-9410831 ' 
 
 7-9553153 
 
 )9 
 
 2 
 
 7-8445366 
 
 7-8622410 
 
 7-8792517 
 
 7-8956212 
 
 7-9113960 
 
 7-9266179 
 
 7-9413241 
 
 7-9555486 
 
 S8 
 
 3 
 
 Z-S44S377 
 
 7-8625300 
 
 7-8795297 
 
 7-8958889 
 
 7-9116542 
 
 7-9268671 
 
 7-9415651 
 
 7-9557818 
 
 57 
 
 4 
 
 7-8451385 
 
 7-8628189 
 
 7-8798075 
 
 7-8961564 
 
 7-9119121 
 
 7-9271162 
 
 7-9418059 
 
 7-9560149 
 
 56 
 
 5 
 
 7-8454392 
 
 7-8631075 
 
 7-8800850 
 
 7-8964237 
 
 7-9121699 
 
 7-9273651 
 
 7-9420465 
 
 7-9562478 
 
 35 
 
 6 
 
 7-8457396 
 
 7-8633960 
 
 7-8803625 
 
 7-8966909 
 
 7-9124276 
 
 7-9276139 
 
 7-9422871 
 
 7-9564806 
 
 54 
 
 1 
 
 r-8460398 
 
 7-8636843 
 
 7-8806397 
 
 7-8969579 
 
 7-9126851 
 
 7-9278626 
 
 7-9425275 
 
 7-9567133 
 
 53 
 
 8 
 
 r-8463399 
 
 7-8639723 
 
 7-8809167 
 
 7-8972248 
 
 7-9129425 
 
 7-9281111 
 
 7-9427677 
 
 7-9569458 
 
 52 
 
 9 
 
 7-8466397 
 
 7-8642602 
 
 7-8811936 
 
 7-8974914 
 
 7-9131997 
 
 7-9283595 
 
 7-9430079 
 
 7-9571782 
 
 51 
 
 10 
 
 7-8469393 
 
 7-8645479 
 
 7-8814703 
 
 7-8977580 
 
 7-9134567 
 
 7-9286077 
 
 7-9432479 
 
 7-9574105 
 
 50 
 
 1] 
 
 7-8472387 
 
 7-8648354 
 
 7-8817469 
 
 7-8980243 
 
 7-9137136 
 
 7-9288558 
 
 7-9434877 
 
 7-9576427 
 
 49 
 
 12 
 
 7-8475379 
 
 7-8651228 
 
 7-8820232 
 
 7-8982905 
 
 7-9139704 
 
 7-9291037 
 
 7-9437275 
 
 7-9578747 
 
 48 
 
 13 
 
 7-8478369 
 
 7-8654099 
 
 7-8822994 
 
 7-8985565 
 
 7-9142269 
 
 7-9293516 
 
 7-9439671 
 
 7-9581067 
 
 47 
 
 14 
 
 7-8481357 
 
 7-8656968 
 
 7-8825754 
 
 7-8988224 
 
 7-9144834 
 
 7-9295992 
 
 7-9442066 
 
 7-9583385 
 
 46 
 
 15 
 
 7-8484343 
 
 7-8659836 
 
 7-8828512 
 
 7-8990881 
 
 7-9147397 
 
 7-9298467 
 
 7-9444459 
 
 7-9585702 
 
 45 
 
 16 
 
 7-8487326 
 
 7-8662702 
 
 7-8831269 
 
 7-8993536 
 
 7-9149958 
 
 7-9300941 
 
 7-9446851 
 
 7-9588017 
 
 44 
 
 17 
 
 7-8490308 
 
 7-8665565 
 
 7-8834023 
 
 7-8996190 
 
 7-9152518 
 
 7-9303414 
 
 7-9449242 
 
 7-9590331 
 
 43 
 
 18 
 
 7-8493288 
 
 7-8668427 
 
 7-8836776 
 
 7-8998842 
 
 7-9155076 
 
 7-9305885 
 
 7-9451631 
 
 7-9592645 
 
 42 
 
 19 
 
 7-8496265 
 
 7-8671287 
 
 7-8839528 
 
 7-9001493 
 
 7-9157633 
 
 7-9308354 
 
 7-9454019 
 
 7-9594956 
 
 41 
 
 20 
 
 7-8499241 
 
 7-8674145 
 
 7-8842277 
 
 7-9004141 
 
 7-9160189 
 
 7-9310823 
 
 7-9456406 
 
 7-9597267 
 
 40 
 
 21 
 
 7-8502215 
 
 7-8677001 
 
 7-8845025 
 
 7-9006789 
 
 7-9162743 
 
 7-9313289 
 
 7-9458792 
 
 7-9599576 
 
 39 
 
 22 
 
 7-8505186 
 
 7-8679856 
 
 7-8847771 
 
 7-9009434 7-9165295 
 
 7-9315755 
 
 7-9461176 
 
 7-9601885 
 
 38 
 
 23 
 
 7-8508156 
 
 7-8682708 
 
 7-8850515 
 
 7-9012078 
 
 7-9167846 
 
 7-9318219 
 
 7-9463559 
 
 7-9604192 
 
 37 
 
 24 
 
 7-8511123 
 
 7-8685559 
 
 7-8853258 
 
 7-9014721 
 
 7-9170395 
 
 7-9320682 
 
 7-9465940 
 
 7-9606497 
 
 36 
 
 25 
 
 7-8514088 
 
 7-8688408 
 
 7-8855999 
 
 7-9017362 
 
 7-9172943 
 
 7-9323143 
 
 7-9468321 
 
 7-9608802 
 
 35 
 
 26 
 
 7-8517052 
 
 7-8691254 
 
 7-8858738 
 
 7-9020001 
 
 7-9175489 
 
 7-9325603 
 
 7-9470700 
 
 7-9611105 
 
 34 
 
 27 
 
 7-8520013 
 
 7-8694099 
 
 7-8861475 
 
 7-9022639 
 
 7-9178034 
 
 7-9328061 
 
 7-9473077 
 
 7-9613407 
 
 33 
 
 28 
 
 7-8522973 
 
 7-8696942 
 
 7-8864211 
 
 7-9025275 
 
 7-9180578 
 
 7-9330518 
 
 7-9475454 
 
 7-9615708 
 
 32 
 
 29 
 
 7-8525930 
 
 7-8699784 
 
 7-8866945 
 
 7-9027909 
 
 7-9183120 
 
 7-9332974 
 
 7-9477829 
 
 7-9618008 
 
 31 
 
 30 
 
 7-8528885 
 
 7-8702623 
 
 7-8869677 
 
 7-9030542 
 
 7-9185660 
 
 7-9335428 
 
 7-9480203 
 
 7-9620306 
 
 30 
 
 31 
 
 7-8531839 
 
 7-8705461 
 
 7-8872407 
 
 7-9033173 
 
 7-9188199 
 
 7-9337881 
 
 7-9482575 
 
 7-9622603 
 
 29 
 
 32 
 
 7-8534790 
 
 7-8708296 
 
 7-8875136 
 
 7-9035803 
 
 7-9190736 
 
 7-9340332 
 
 7-9484946 
 
 7-9624899 
 
 28 
 
 33 
 
 7-8537739 
 
 7-8711130 
 
 7-8877863 
 
 7-9038431 
 
 7-9193272 
 
 7-9342783 
 
 7-9487316 
 
 7-9627194 
 
 27 
 
 34 
 
 7-8540687 
 
 7-8713962 
 
 7-8880589 
 
 7-9041057 
 
 7-9195807 
 
 7-9345231 
 
 7-9489685 
 
 7-9629487 
 
 26 
 
 35 
 
 7-8543632 
 
 7-8716792 
 
 7-8883312 
 
 7-9043682 
 
 7-9198340 
 
 7-9347679 
 
 7-9492052 
 
 7-9631780 
 
 25 
 
 36 
 
 7-8546575 
 
 7-8719621 
 
 7-8886034 
 
 7-9046305 
 
 7-9200871 
 
 7-9350125 
 
 7-9494418 
 
 7-9634071 
 
 24 
 
 37 
 
 7-8549517 
 
 7-8722447 
 
 7-8888754 
 
 7-9048927 
 
 7-9203401 
 
 7-9352569 
 
 7-9496783 
 
 7-9636361 
 
 23 
 
 38 
 
 7-8552456 
 
 7-8725272 
 
 7-8891473 
 
 7-9051547 
 
 7-9205930 
 
 7-9355012 
 
 7-9499 146 
 
 7-9638649 
 
 22 
 
 39 
 
 7-8555393 
 
 7-8728095 
 
 7-8894190 
 
 7-9054166 
 
 7-9208457 
 
 7-9357454 
 
 7-9501508 
 
 7-9640937 
 
 21 
 
 40 
 
 7-8558329 
 
 7-8730916 
 
 7-8896905 
 
 7-9056783 
 
 7-9210983 
 
 7-9359895 
 
 7-9503869 
 
 7-9643223 
 
 20 
 
 41 
 
 7-8561262 
 
 7-8733735 
 
 7-8899618 
 
 7-9059398 
 
 7-9213507 
 
 7-9362334 
 
 7-9506229 
 
 7-9645508 
 
 19 
 
 42 
 
 7-8564193 
 
 7-8736552 
 
 7-8902330 
 
 7-9062012 
 
 7-9216030 
 
 7-9364772 
 
 7-9508587 
 
 7-9647792 
 
 18 
 
 43 
 
 7-8567123 
 
 7-8739367 
 
 7-8905040 
 
 7-9064624 
 
 7-9218551 
 
 7-9367208 
 
 7-9510944 
 
 7-9650075 
 
 17 
 
 44 
 
 7-8570050 
 
 7-8742181 
 
 7-8907749 
 
 7-9067235 
 
 7-9221071 
 
 7-9369643 
 
 7-9513300 
 
 7-9652356 
 
 16 
 
 45 
 
 7-8572976 
 
 7-8744993 
 
 7-8910455 
 
 7-9069844 
 
 7-9223589 
 
 7-9372077 
 
 7-9515654 
 
 7-9654637 
 
 15 
 
 46 
 
 7-8575899 
 
 7-8747803 
 
 7-8913160 
 
 7-9072451 
 
 7-9226106 
 
 7-9374509 
 
 7-9518008 
 
 7-9656916 
 
 14 
 
 47 
 
 7-8578821 
 
 7-8750611 
 
 7-8915864 
 
 7-9075057 
 
 7-9228621 
 
 7-9376940 
 
 7-9520360 
 
 7-9659194 
 
 13 
 
 48 
 
 7-8581740 
 
 7-8753417 
 
 7-8918565 
 
 7-9077662 
 
 7-9231135 
 
 7-9379369 
 
 7-9522710 
 
 7-9661470 
 
 12 
 
 49 
 
 7-8584658 
 
 7-8756222 
 
 7-8921265 
 
 7-9080265 
 
 7-9233648 
 
 7-9381798 
 
 7-9525060 
 
 7-9663746 
 
 11 
 
 50 
 
 7-8587574 
 
 7-8759025 
 
 7-8923963 
 
 7-9082866 
 
 7-9236159 
 
 7-9384224 
 
 7-9527408 
 
 7-9666020 
 
 10 
 
 51 
 
 7-8590487 
 
 7-8761826 
 
 7-8926660 
 
 7-9085466 
 
 7-9238668 
 
 7-9386650 
 
 7-9529755 
 
 7-9668293 
 
 9 
 
 52 
 
 7-8593399 
 
 7-8764625 
 
 7-8929355 
 
 7-9088064 
 
 7-9241177 
 
 7-9389074 
 
 7-953210C 
 
 7-9670565 
 
 8 
 
 53 
 
 7-8596309 
 
 7-8767422 
 
 7-8932048 
 
 7-9090660 
 
 7-9243683 
 
 7-9391497 
 
 7-9534444 
 
 7-9672836 
 
 7 
 
 54 
 
 7-8599217 
 
 7-8770218 
 
 7-8934740 
 
 7-9093256 
 
 7-9246188 
 
 7-9393918 
 
 7-9536787 
 
 7-9675106 
 
 6 
 
 55 
 
 7-8602123 
 
 7-8773011 
 
 7-8937430 
 
 7-9095849 
 
 7-9248692 
 
 7-9396338 
 
 7-9539129 
 
 7-9677374 
 
 5 
 
 56 
 
 7-8605027 
 
 7-8775803 
 
 7-8940118 
 
 7-9098441 
 
 7-9251195 
 
 7-9398757 
 
 7-954 147C 
 
 7-9679641 
 
 4 
 
 57 
 
 7-8607929 
 
 7-8778594 
 
 7-8942804 
 
 7-9101031 
 
 7-9253696 
 
 7-9401175 
 
 7-9543809 
 
 7-9681907 
 
 3 
 
 58 
 
 7-8610829 
 
 7-8781382 
 
 7-8945489 
 
 7-910362C 
 
 7-9256195 
 
 7-9403591 
 
 7-9546147 
 
 7-9684172 
 
 2 
 
 59 
 
 7-8613727 
 
 7-8784168 
 
 7-8948173 
 
 7-9106208 
 
 7-9258693 
 
 7-9406005 
 
 7-9548484 
 
 7-9686436 
 
 1 
 
 60 
 
 7-8616623 
 
 7-878G953 
 
 7-8950854 
 
 7-9108793 
 
 7-9261 19C 
 
 7-940841 S 
 
 7-9550819 
 
 7-9688698 
 
 
 
 V 
 
 35' 
 
 34' 
 
 33' 
 
 32' 
 
 I 31' 
 
 scy 
 
 29' 
 
 28' 
 
 tl 
 
 LOG. COSINES. 
 
 8Q Deff. 
 
Deg. 
 
 
 LOG. TANGENTS. 
 
 
 (1225) 
 
 ~n 
 
 24' 25' 
 
 2(>' 
 
 27' 
 
 28' 1 29' 
 
 30' 
 
 31' 
 
 60 
 
 "o 
 
 7-8439444 7-8616738 
 
 7-8787077 
 
 7-8950988 
 
 7-9108938 
 
 7-9261344 
 
 7-9408584 
 
 7-9550996 
 
 1 
 
 7-8442459 
 
 7-8619632 
 
 7-8789861 
 
 7-8953668 
 
 7-9111522 
 
 7-9263840 
 
 7-9410999 
 
 7-9553330 
 
 59 
 
 2 
 
 7:8445472 
 
 7-8622525 
 
 7-8792642 
 
 7-8956347 
 
 7-9114105 
 
 7-9266333 
 
 7-9413407 
 
 7-9^55663 
 
 58 
 
 3 
 
 7-8448483 
 
 7-8625415 
 
 7-87.95422 
 
 7-8959023 
 
 7-9116686 
 
 7-9268826 
 
 7-9415817 
 
 7-9557995 
 
 57 
 
 4 
 
 7-8451492 
 
 7-8628304 
 
 7-8798199 
 
 7-8961699 
 
 7-91 19266 
 
 7-9271317 
 
 7-9418226 
 
 7-9560326 
 
 56 
 
 5 
 
 7-8454498 
 
 7-8631191 
 
 7-8800975 
 
 7-8964372 
 
 7-9121844 
 
 7-9273807 
 
 7-9420632 
 
 7-9562655 
 
 55 
 
 6 
 
 7-8457503 
 
 7-8634076 
 
 7-8803750 
 
 7-8967044 
 
 7-9124421 
 
 7-9276295 
 
 7-9423037 
 
 7-9564984 
 
 54 
 
 7 
 
 7-8460505 
 
 7-8636958 
 
 7-8806522 
 
 7-8969714 
 
 7-9126996 
 
 7-9278782 
 
 7-9425441 
 
 7-9567310 
 
 53 
 
 8 
 
 7-8463506 
 
 7-8639839 
 
 7-8809293 
 
 7-8972383 
 
 7-9129570 
 
 7-9281267 
 
 7-9427844 
 
 7-9569636 
 
 52 
 
 9i7-8466'504 
 
 7-8642719 
 
 7-8812062 
 
 7-8975050 
 
 7-9132142 
 
 7-9283751 
 
 7-9430246 
 
 7-9571961 
 
 51 
 
 10l7-846i)500 
 
 7-8645596 
 
 7-8814839 
 
 7-8977715 
 
 7-9134713 
 
 7-9286233 
 
 7-9432646 
 
 7-9574284 
 
 50 
 
 1 1 j7-84r2494 
 
 7-8648471 
 
 7-8817594 
 
 7-8980379 
 
 7-9137282 
 
 7-9288714 
 
 7-9435045 
 
 7-9576606 
 
 49 
 
 12 7'84754S7 
 
 7-8651344 
 
 7-8820358 
 
 7-8983041 
 
 7-9139850 
 
 7-9291194 
 
 7-9437442 
 
 7-9578926 
 
 48 
 
 137'M79A77 
 
 7-8554216 
 
 7-8823120 
 
 7-8985701 
 
 7-9142416 
 
 7-9293672 
 
 7-9439839 
 
 7-9581246 
 
 47 
 
 14 7-8481465 
 
 7-8657086 
 
 7-8825880 
 
 7-8988360 
 
 7-9144980 
 
 7-9296149 
 
 7-9442233 
 
 7-9683564 
 
 46 
 
 15 7-8484451 
 
 7-8659953 
 
 7-8828639 
 
 7-8991017 
 
 7-9147543 
 
 7-9298626 
 
 7-9444627 
 
 7-9585881 
 
 45 
 
 16 7-8487435 
 
 7-8662819 
 
 7-8831395 
 
 7-8993673 
 
 7-9150105 
 
 7-9301099 
 
 7-9447019 
 
 7-9588197 
 
 44 
 
 17 
 
 7-8490416 
 
 7-8665683 
 
 7-8834150 
 
 7-8996327 
 
 7-9152665 
 
 7-9303571 
 
 7-9449410 
 
 7-9590511 
 
 43 
 
 18 
 
 7-8493396 
 
 7-8668545 
 
 7-8836903 
 
 7-8998979 
 
 7-9155224 
 
 7-9306043 
 
 7-9451800 
 
 7-9592825 
 
 42 
 
 19 
 
 7-8496374 
 
 7-8671405 
 
 7-8839655 
 
 7-9001630 
 
 7-9157781 
 
 7-9308512 
 
 7-9454188 
 
 7-9595137 
 
 41 
 
 20 
 
 7-8499350 
 
 7-8674263 
 
 7-8842404 
 
 7-9004279 
 
 7-9160336 
 
 7-9310981 
 
 7-9456575 
 
 7-9597447 
 
 40 
 
 21 
 
 7-8502323 
 
 7-8677120 
 
 7-8845152 
 
 7-9006926 
 
 7-9162890 
 
 7-9313448 
 
 7-9458961 
 
 7-9599757 
 
 39 
 
 22 
 
 7-8505295 
 
 7-8679974 
 
 7-8847899 
 
 7-9009572 
 
 7-9165443 
 
 7-9315913 
 
 7-9461345 
 
 7-9602065 
 
 38 
 
 23 
 
 7-8508265 
 
 7-8682827 
 
 7-8850643 
 
 7-9012216 
 
 7-9167994 
 
 7-9318378 
 
 7-9463728 
 
 7-9604373 
 
 37 
 
 24 
 
 7-8511232 
 
 7-8685677 
 
 7-8853386 
 
 7-9014859 
 
 7-9170543 
 
 7-9320840 
 
 7-9466110 
 
 7-9606678 
 
 36 
 
 25 
 
 7-8514198 
 
 7-8688526 
 
 7-8856127 
 
 7-9017500 
 
 7-9173091 
 
 7-9323302 
 
 7-9468491 
 
 7-9608983 
 
 35 
 
 26 
 
 7-8517161 
 
 7-8691373 
 
 7-8858866 
 
 7-9020139 
 
 7-9175638 
 
 7-9325762 
 
 7-9470870 
 
 7-9611287 
 
 34 
 
 27 
 
 7-8520123 
 
 7-8694218 
 
 7-8861604 
 
 7-9022777 
 
 7-9178183 
 
 7-9328220 
 
 7-9473248 
 
 7-9613589 
 
 33 
 
 28 
 
 7-8523083 
 
 7-8697062 
 
 7-8864339 
 
 7-9025413 
 
 7-9180727 
 
 7-9330678 
 
 7-9475624 
 
 7-9615890 
 
 32 
 
 29 
 
 7-8526040 
 
 7-8699903 
 
 7-8867074 
 
 7-9028048 
 
 7-9183269 
 
 7-9333133 
 
 7-9478000 
 
 7-9618190 
 
 31 
 
 30 
 
 7-8528996 
 
 7-8702743 
 
 7-8869806 
 
 7-9030681 
 
 7-9185809 
 
 7-9335588 
 
 7-9480374 
 
 7-9620488 
 
 30 
 
 31 
 
 7-8531949 
 
 7-8705580 
 
 7-8872537 
 
 7-9033312 
 
 7-9188348 
 
 7-9338041 
 
 7-9482746 
 
 7-9622786 
 
 29 
 
 32 
 
 7-8534900 
 
 7-8708416 
 
 7-8875266 
 
 7-9035942 
 
 7-9190886 
 
 7-9340493 
 
 7-9485118 
 
 7-9625082 
 
 23 
 
 33 
 
 7-8537850 
 
 7-8711250 
 
 7-8877993 
 
 7-9038570 
 
 7-9193422 
 
 7-9342943 
 
 7-9487488 
 
 7-9627377 
 
 27 
 
 34 
 
 7-8540797 
 
 7-8714082 
 
 7-8880718 
 
 7-9041197 
 
 7-9195957 
 
 7-9345392 
 
 7-9489856 
 
 7-9629670 
 
 26 
 
 35 
 
 7-8543743 
 
 7-8716913 
 
 7-8883442 
 
 7-9043822 
 
 7-9198490 
 
 7-9347839 
 
 7-9492224 
 
 7-9631963 
 
 25 
 
 36 
 
 7-8546686 
 
 7-8719741 
 
 7-8886164 
 
 7-9046445 
 
 7-9201022 
 
 7-9350286 
 
 7-9494590 
 
 7-D 634254 
 
 24 
 
 37 
 
 7-8549628 
 
 7-8722568 
 
 7-8888885 
 
 7-9049067 
 
 7-9203552 
 
 7-9352730 7-9496955 
 
 7-9636544 
 
 23 
 
 38 
 
 7-8552567 
 
 7-8725393 
 
 7-8891603 
 
 7-9061687 
 
 7-9206081 
 
 7-9365174J7-9499319 
 
 7-9638833 
 
 22 
 
 39 
 
 7-8555505 
 
 7-8728215 
 
 7-8894320 
 
 7-9064306 
 
 7-9208608 
 
 7-93576l6|7-950l681 
 
 7-9641121 
 
 21 
 
 40 
 
 7-8558440 
 
 7-8731037 
 
 7-889703S 
 
 7-9056923 
 
 7-9211134 
 
 7-9360057 7-9504042 
 
 7-9643408 
 
 20 
 
 41 
 
 7-8561374 
 
 7-8733856 
 
 7-8899749 
 
 7-9059539 
 
 7-9213658 
 
 7-936249617-9506402 
 
 7-9645693 
 
 19 
 
 42 
 
 7-8564305 
 
 7'S736673 
 
 7-8902461 
 
 7-9062153 
 
 7-9216181 
 
 7-9364934 
 
 7-9508760 
 
 7-9647977 
 
 18 
 
 43 
 
 7-8567235 
 
 7-8739489 
 
 7-8905171 
 
 7-9064765 
 
 7-9218702 
 
 7-9367370 
 
 7-9511118 
 
 7-9650260 
 
 17 
 
 44 
 
 7-8570163 
 
 7-8742303 
 
 7-8907880 
 
 7-9067376 
 
 7-9221222 
 
 7-9369805 
 
 7-9513474 
 
 7-9652541 
 
 16 
 
 45 
 
 7-8573088 
 
 7-8745115 
 
 7-8910587 
 
 7-9069985 
 
 7-9223741 
 
 7-9372239 
 
 7-9515828 
 
 7-9654822 
 
 15 
 
 46 
 
 7-8576012 
 
 7-8747925 
 
 7-8913292 
 
 7-9072593 
 
 7-9226258 
 
 7-9374672 
 
 7-9518182 
 
 7-9657101 
 
 14 
 
 47 
 
 7-8578934 
 
 7-8750733 
 
 7-8915995 
 
 7-9075199 
 
 7-9228774 
 
 7-9377103 
 
 7-9520534 
 
 7-9659379 
 
 13 
 
 48 
 
 7-8581853 
 
 7-8753540 
 
 7-8918697 
 
 7-9077804 
 
 7-9231288 
 
 7-9379533 
 
 7-9522885 
 
 7-9661656 
 
 12 
 
 49 
 
 7-8584771 
 
 7-8756344 
 
 7-8921397 
 
 7-9080407 
 
 7-9233800 
 
 7-9381961 
 
 7-9525234 
 
 7-9663932 
 
 11 
 
 50 
 
 7-8587687 
 
 7-8759147 
 
 7-8924096 
 
 7-9083008 
 
 7-9236312 
 
 7-9384388 
 
 7-9627582 
 
 7-9666206 
 
 10 
 
 51 
 
 7-8590601 
 
 7-8761949 
 
 7-8926792 
 
 7-9085608 
 
 7-9238821 
 
 7-9386814 
 
 7-9529929 
 
 7-9668480 
 
 9 
 
 52 
 
 7-8593513 
 
 7-8764748 
 
 7-8929487 
 
 7-9088207 
 
 7-9241330 
 
 7-9389238 
 
 7-9532275 
 
 7-9670752 
 
 8 
 
 53 
 
 7-8596423 
 
 7-8767545 
 
 7-8932181 
 
 7-9090803 
 
 7-9243836 
 
 7-9391661 
 
 7-9534620 
 
 7-9673023 
 
 7 
 
 54 
 
 7-8599331 
 
 7-8770341 
 
 7-8934873 
 
 7-9093399 
 
 7-9246342 
 
 7-9394083J7-9536963 
 
 7-9675293 
 
 6 
 
 55 
 
 7-8^02237 
 
 7-8773135 
 
 7-8937563 
 
 7-9095992 
 
 7-9248846 
 
 7-9396503 
 
 7-9539305 
 
 7-9677561 
 
 5 
 
 56 
 
 7-8605141 
 
 7-8775927 
 
 7-8940251 
 
 7-9098584 
 
 7-9251348 
 
 7-9398922 
 
 7-9541646 
 
 7-9679829 
 
 4 
 
 57 
 
 7-8608043 
 
 7-8778717 
 
 7-8942938 
 
 7-9101175 
 
 7-9253850 
 
 7-9401339 
 
 7-9543985 
 
 7-9682095 
 
 3 
 
 58 
 
 7-8610943 
 
 7-8781506 
 
 7-8945623 
 
 7-9103764 
 
 7-9256349 
 
 7-9403756 
 
 7-9646323 
 
 7-9684360 
 
 2 
 
 59 
 
 7-8613841 
 
 7-8784293 
 
 7-8948306 
 
 7-9106352 
 
 7-9258847 
 
 7-9406170 
 
 7-9548660 
 
 7-9686624 
 
 1 
 
 60 
 
 7-8616738 
 
 7-8787077 
 
 7-8950988 
 
 7-9108938 
 
 7-9261344 
 
 7-940858^ 
 
 7-9550996 
 
 7-9688886 
 
 
 If 
 
 35' 
 
 34' 
 
 33' 
 
 32' ~ 
 
 I 31' 
 
 30' 
 
 2i)' 
 
 28' 
 
 LOG. COTANGENTS. 
 
 3 G 8Q Deg. 
 
(226) Deg. 
 
 
 LOG. SINES. 
 
 
 
 Tab. §, 
 
 
 32' 
 
 33' 
 
 34' 
 
 35' 
 
 36' 
 
 37' 
 
 38' 
 
 39' 
 
 II 
 
 7-96886'9K 
 
 7-9822334 
 
 7-9951980 
 
 8-0077867 
 
 8-0200207 
 
 8-0319195 
 
 8-0435009 
 
 8-0547814 
 
 60 
 
 1 
 
 7-9690960 
 
 7-9824527 
 
 7-9954108 
 
 8-0079934 
 
 8-0202217 
 
 8-0321150 
 
 8-0436913 
 
 8-0549670 
 
 59 
 
 2 
 
 7-9693220 
 
 7-9826718 
 
 7-9956235 
 
 8-0082001 
 
 8-0204226 
 
 8-0323105 
 
 8-0438816 
 
 8-0551624 
 
 58 
 
 3 
 
 7-9695479 
 
 7-9828909 
 
 7-9958361 
 
 8-0084066 
 
 8-0206234 
 
 8-0325069 
 
 8-0440719 
 
 8-0553378 
 
 57 
 
 4 
 
 7-9697736 
 
 7-9831098 
 
 7-9960487 
 
 8-0086131 
 
 8-0208242 
 
 8-0327012 
 
 8-0442621 
 
 8-0555231 
 
 56 
 
 5 
 
 7-9699993 
 
 7-9833287 
 
 7-9962611 
 
 8-0088194 
 
 8-0210248 
 
 8-0328965 
 
 8-0444522 
 
 8-0567084 
 
 56 
 
 6 
 
 7-9702248 
 
 7-9835474 
 
 7-9964734 
 
 8-0090257 
 
 8-0212263 
 
 8-0330916 
 
 8-0446422 
 
 8-0558935 
 
 54 
 
 7 
 
 7-9704503 
 
 7-9837660 
 
 7-9966856 
 
 8-0092318 
 
 8-0214258 
 
 8-0332866 
 
 8-0448321 
 
 8-0560786 
 
 53 
 
 8 
 
 7-9706756 
 
 7-9839845 
 
 7-9968977 
 
 8-0094379 
 
 8-0216261 
 
 8-0334816 
 
 8-0450220 
 
 8-0562636 
 
 52 
 
 9 
 
 7-9709008 
 
 7-9842029 
 
 7-9971097 
 
 8-0096439 
 
 8-0218264 
 
 8-0336765 
 
 8-0452117 
 
 8-0564485 
 
 51 
 
 10 
 
 7-9711258 
 
 7-9844212 
 
 7-9973216 
 
 8-0098497 
 
 8-0220266 
 
 8-0338713 
 
 8-0454014 
 
 8-0666333 
 
 50 
 
 11 
 
 7-9713508 
 
 7-9846394 
 
 7-9976334 
 
 8-0100555 
 
 8-0222267 
 
 8-0340660 
 
 8-0465910 
 
 8-0568181 
 
 49 
 
 12 
 
 7-9715756 
 
 7-9848574 
 
 7-9977451 
 
 8-0102612 
 
 8 0224267 
 
 8-0342606 
 
 8-0457806 
 
 8-0570028 
 
 48 
 
 13 
 
 7-9718004 
 
 7-9850754 
 
 7'9979'666 
 
 8-0104668 
 
 8-0226266 
 
 8-0344551 
 
 8-0459700 
 
 8-0571874 
 
 47 
 
 14 
 
 7-9720250 
 
 7-9859933 
 
 7-9981681 
 
 8-0106722 
 
 8-0228264 
 
 8-0346495 
 
 8-0461593 
 
 8-0573719 
 
 46 
 
 15 
 
 7-9722495 
 
 7-9855110 
 
 7-9983795 
 
 8-0108776 
 
 8-0230261 
 
 8-0348439 
 
 8-0463486 
 
 8-0575563 
 
 45 
 
 16 
 
 7-9724738 
 
 7-9857286 
 
 7*9985908 
 
 8-0110829 
 
 8-0232257 
 
 8-0350382 
 
 8-0465378 
 
 8-0577407 
 
 44 
 
 17 
 
 7-9726981 
 
 7-9859461 
 
 7-9988020 
 
 8-0112881 
 
 8-0234252 
 
 8-0352323 
 
 8-0467269 
 
 8-0579250 
 
 43 
 
 18 
 
 7-9729222 
 
 7-9861636 
 
 7-9990130 
 
 8-0114932 
 
 8-0236247 
 
 8-0354264 
 
 8-0469169 
 
 8-0581092 
 
 42 
 
 19 
 
 7-9731463 
 
 7-9863809 
 
 7-9992240 
 
 8-0116982 
 
 8-0238240 
 
 8-0356204 
 
 8-0471048 
 
 8-0582933 
 
 41 
 
 20 
 
 7-9733702 
 
 7-9865981 
 
 7-9994349 
 
 8-0119031 
 
 8-0240233 
 
 8-0358143 
 
 8-0472937 
 
 8-0584774 
 
 40 
 
 21 
 
 7-9735940 
 
 7-9868151 
 
 7-9996456 
 
 8-0121079 
 
 8-0242224 
 
 8-0360082 
 
 8-0474826 
 
 8-0586614 
 
 39 
 
 22 
 
 7-9738177 
 
 7-9870321 
 
 7-9998563 
 
 8-0123126 
 
 8-0244215 
 
 8-0362019 
 
 8-0476712 
 
 8-0588463 
 
 38 
 
 23 
 
 7-9740412 
 
 7-9872490 
 
 8-0000669 
 
 8-0125172 
 
 8-0246205 
 
 8-0363966 
 
 8-0478598 
 
 8-0590291 
 
 37 
 
 24 
 
 7-9742647 
 
 7-9874658 
 
 8-0002773 
 
 8-0127217 
 
 8-0248194 
 
 8-0366892 
 
 8-0480483 
 
 8-0692128 
 
 36 
 
 26 
 
 7-9744880 
 
 7-9876824 
 
 8-0004877 
 
 8-0129261 
 
 8-0250182 
 
 8-0367826 
 
 8-0482368 
 
 8-0693966 
 
 36 
 
 26 
 
 7-9747113 
 
 7-9878989 
 
 8-0006979 
 
 8-0131304 
 
 8-0252169 
 
 8-0369760 
 
 8-0484251 
 
 8-0595801 
 
 34 
 
 27 
 
 7-9749344 
 
 7-9881154 
 
 8-0009081 
 
 8-0133347 
 
 8-0254165 
 
 8-0371693 
 
 8-0486134 
 
 8-0597636 
 
 33 
 
 28 
 
 7-9751574 
 
 7-9883317 
 
 8-0011181 
 
 8-0135388 
 
 8-0266140 
 
 8-0373626 
 
 8-0488016 
 
 8-0599470 
 
 32 
 
 29 
 
 7-9753802 
 
 7-9885479 
 
 8-0013281 
 
 8-0137428 
 
 8-0268125 
 
 8-0375567 
 
 8-0489897 
 
 8-0601304 
 
 31 
 
 30 
 
 7-9756030 
 
 7-9887641 
 
 8-0015379 
 
 8-0139468 
 
 8-0260108 
 
 8-0377488 
 
 8-0491778 
 
 8-0603137 
 
 30 
 
 31 
 
 7-9758257 
 
 7-9889801 
 
 8-0017477 
 
 8-0141506 
 
 8-0262091 
 
 8-0379417 
 
 8-0493667 
 
 8-0604969 
 
 29 
 
 32 
 
 7-9760482 
 
 7-9891960 
 
 8-0019573 
 
 8-0143543 
 
 8-0264072 
 
 8-0381346 
 
 8-0496636 
 
 8-0606800 
 
 23 
 
 33 
 
 7-9762706 
 
 7-9894117 
 
 8-0021669 
 
 8-0145580 
 
 8-0266063 
 
 8-0383274 
 
 8-0497414 
 
 8-0608630 
 
 27 
 
 34 
 
 7-9764929 
 
 7-9896274 
 
 8-0023763 
 
 80147615 
 
 8-0268033 
 
 8-0385201 
 
 8-0499291 
 
 8-0610460 
 
 26 
 
 35 
 
 7-9767151 
 
 7-9898430 
 
 8-0025856 
 
 8-0149650 
 
 8-0270012 
 
 8-0387128 
 
 8-0501167 
 
 8-0612289 
 
 25 
 
 36 
 
 7-9769372 
 
 7-9900585 
 
 8-0027949 
 
 8-0151684 
 
 8-0271990 
 
 8-0389053 
 
 8-0503043 
 
 8-0614117 
 
 24 
 
 37 
 
 7-9771592 
 
 7-9902738 
 
 8-0030040 
 
 8-0153716 
 
 8-0273967 
 
 8-0390978 
 
 8-0604918 
 
 8-0615944 
 
 23 
 
 38 
 
 7-9773810 
 
 7-9904891 
 
 8-0032131 
 
 8-0155748 
 
 8-0275943 
 
 8-0392901 
 
 8-0606792 
 
 8-0617771 
 
 22 
 
 39 
 
 7-9776028 
 
 7-9907043 
 
 8-0034220 
 
 8-0157779 
 
 8-0277919 
 
 8-0394824 
 
 8-0608665 
 
 8-0619597 
 
 21 
 
 40 
 
 7-9778244 
 
 7-9909193 
 
 8-0036308 
 
 8-0169808 
 
 8-0279893 
 
 8-0396746 
 
 8-0610537 
 
 8-0621422 
 
 20 
 
 41 
 
 7-9780459 
 
 7-9911342 
 
 8-0038396 
 
 8-0161837 
 
 8-0281867 
 
 8-0398667 
 
 8-0512408 
 
 8-0623246 
 
 19 
 
 42 
 
 7-9782673 
 
 7-9913491 
 
 8-0040482 
 
 8-0163865 
 
 8-0283839 
 
 8-0400688 
 
 8-0514279 
 
 8-0625070 
 
 18 
 
 43 
 
 7-9784886 
 
 7-9915638 
 
 8-0042568 
 
 8-0166892 
 
 8-0285811 
 
 8-0402507 
 
 8-0516149 
 
 8-0626892 
 
 17 
 
 44 
 
 7-9787098 
 
 7-9917784 
 
 8-0044652 
 
 8-0167918 
 
 8-0287782 
 
 8-0404426 
 
 8-0518018 
 
 8-0628714 
 
 16 
 
 45 
 
 7-9789309 
 
 7-9919929 
 
 8-0046736 
 
 8-0169943 
 
 8-0289752 
 
 8-0406343 
 
 8-0519886 
 
 8-0630536 
 
 16 
 
 46 
 
 7-9791518 
 
 7-9922073 
 
 8-0048818 
 
 8-0171967 
 
 8-0291721 
 
 8-0408260 
 
 8-0521754 
 
 8-0632366 
 
 14 
 
 47 
 
 7-9793726 
 
 7-9924216 
 
 8-0050899 
 
 8-0173991 
 
 8-0293689 
 
 8-0410176 
 
 8-0523620 
 
 8-0634176 
 
 13 
 
 48 
 
 7-9795934 
 
 7-9926358 
 
 8-0052979 
 
 8-0176013 
 
 8-0295656 
 
 8-0412092 
 
 8-0525486 
 
 8-0635995 
 
 12 
 
 49 
 
 7-9798140 
 
 7-9928499 
 
 8-0055059 
 
 8-0178034 
 
 8-0297623 
 
 8-0414006 
 
 8-0527351 
 
 8-0637813 
 
 11 
 
 50 
 
 7-9800345 
 
 7-9930639 
 
 8-0057137 
 
 8-0180055 
 
 8-0299588 
 
 8-0415920 
 
 8-0529216 
 
 8-0639630 
 
 10 
 
 51 
 
 7-9802549 
 
 7-9932778 
 
 8-0059215 
 
 8-0182074I8-0301553 
 
 8-0417832 
 
 ^•0531079 
 
 8-0641447 
 
 9 
 
 52 
 
 7-9804752 
 
 7-9934915 
 
 8-0061291 
 
 8-0184093 
 
 8-0303517 
 
 8-0419744 
 
 8-0532942 
 
 8-0643263 
 
 8 
 
 53 
 
 7-9806953 
 
 7-9937052 
 
 8-0063366 
 
 8-0188110 
 
 8-0305479 
 
 8-0421665 
 
 8-0534803 
 
 8-0645078 
 
 7 
 
 54 
 
 7-9809154 
 
 7-9939188 
 
 8-0065441 
 
 8-0188127 
 
 8-0307441 
 
 8-0423565 
 
 8-0536666 
 
 8-0646893 
 
 6 
 
 55 
 
 7-9811353 
 
 7-9941322 
 
 8-0067514 
 
 8-0190142 
 
 8-0309403 
 
 8-0425476 
 
 8-0538525 
 
 8-0648706 
 
 5 
 
 56 
 
 7-9813552 
 
 7-9943456 
 
 8-0069587 
 
 8-0192157 
 
 8-0311363 
 
 8-0427383 
 
 8-0540384 
 
 8-0650519 
 
 4 
 
 57 
 
 7-9815749 
 
 7-9945588 
 
 8-0071658 
 
 8-0194171 
 
 8-0313322 
 
 8-0429291 
 
 8-0542243 
 
 8-0652331 
 
 3 
 
 58 
 
 7-9817945 
 
 7-9947720 
 
 8-0073729 
 
 8-019618418-031 5280 
 
 8-0431198 
 
 8-0544101 
 
 8-0654143 
 
 2 
 
 59 
 
 7-9820140 
 
 7-9949850 
 
 8-0075798 
 
 8-0198196 
 
 8-0317238 
 
 8-0433104 
 
 8-0546968 
 
 8-0655953 
 
 1 
 
 60 
 // 
 
 7-9822334 
 
 7-9951980 
 
 8-0077867 
 
 8-0200207 
 
 8-0319195 
 
 8-0436009 
 
 8-0547814 
 
 8-0657763 
 
 
 
 27' 
 
 26' 
 
 25 
 
 24' 
 
 23' 
 
 22' 
 
 21' 
 
 20' 
 
 '\\ 
 
 LOG, COSINES, 
 
 89 Deer. 
 
 I 
 
Deg. 
 
 LOG. TANGENTS. 
 
 (227) 
 
 !" 
 
 32^ 
 
 33' 
 
 34' 
 
 35' 36' 
 
 1 37' 
 
 38' 
 
 ( 39' 
 
 ? 
 
 
 c 
 
 ) 7-9688886 
 
 7-982253-^ 
 
 7-995219^ 
 
 8-0078092 8-020044£ 
 
 8-031944( 
 
 8-0435274 8-0548094 60 
 
 
 1 
 
 7-9691148 
 
 7-9824727 
 
 7-995432C 
 
 8-0080159 8-020245£ 
 
 8-032140!. 
 
 8-0437179 8-0549949 59 
 
 
 ^ 
 
 7-9693408 
 
 7-98269 IS 
 
 7-9956448 
 
 8-0082226 8-0204465 
 
 8-0323357 
 
 8-0439082 8-0551804 58 
 
 
 3 
 
 7-9695667 
 
 7-98291 1€ 
 
 7-9958574 
 
 8-0084292 8-0206473 
 
 8-0325311 
 
 8-0440985 8-0553658 
 
 J 57 
 
 
 4 
 
 7-9697925 
 
 7-9831299 
 
 7-9960700 
 
 8-0086357 8-0208481 
 
 8-0327265 
 
 8-0442887 8-05555 U 
 
 56 
 
 
 5 
 
 7-9700182 
 
 7-9833488 
 
 7-9962824 
 
 8-0088420 8-0210487 
 
 8-0329217 
 
 8-0444788 8-055736^ 
 
 55 
 
 
 6 
 
 7-9702438 
 
 7-9835675 
 
 7-9964947 
 
 8-0090485 
 
 8-0212493 
 
 8-0331169 
 
 8-0446689 8-0559216 
 
 54 
 
 
 7 
 
 7-9704692 
 
 7-9837862 
 
 7-9967070 
 
 8-009254£ 
 
 8-0214498 
 
 8-0333120 
 
 8-044858!: 
 
 8-0561067 
 
 53 
 
 
 8 
 
 7-9706945 
 
 7-9840047 
 
 7-9969191 
 
 8-0U94606 
 
 8-0216501 
 
 8-0335069 
 
 8-0450487 
 
 8-0562917 
 
 52 
 
 
 9 
 
 7-9709198 
 
 7-9842231 
 
 7-9971311 
 
 8-0096666 
 
 8-0218504 
 
 8-0337018 
 
 8-045238.1 
 
 8-0564767 
 
 51 
 
 
 10 
 
 7-9711449 
 
 7-9844414 
 
 7-9973430 
 
 8-0098725 
 
 8-0220506 
 
 8-0338967 
 
 8-045428i^ 
 
 8-0566615 
 
 50 
 
 
 11 
 
 7-9713698 
 
 7-9846596 
 
 7-9975548 
 
 8-0100783 
 
 8-0222507 
 
 8-0340914 
 
 8-0456178 
 
 8-0568463 
 
 49 
 
 
 12 
 
 7-9715947 
 
 7-9848777 
 
 7-9977666 
 
 80102840 
 
 8-0224507 
 
 8-0342860 
 
 8-0458074 
 
 8-0570310 
 
 48 
 
 
 13 
 
 7-9718194 
 
 7-9850957 
 
 7-99797S2 
 
 8-0104896 
 
 8-0226507 
 
 8-0344806 
 
 8-0459968 
 
 8-0572166 
 
 47 
 
 
 14 
 
 7-9720441 
 
 7-9853135 
 
 7-9981897 
 
 8-0106951 
 
 8-0228505 
 
 8-0346750 
 
 8-0461862 
 
 8-0574002 
 
 46 
 
 
 15 
 
 7-9722686 
 
 7-9855313 
 
 7-9984011 
 
 8-0109005 
 
 8-0230502|8-0348694 
 
 8--0463755 
 
 8-0576846 
 
 45 
 
 
 16 
 
 7-9724930 
 
 7-9857490 
 
 7-9986124 
 
 8-0111058 
 
 8-0232499 
 
 8-0350637 
 
 8-0465647 
 
 8-0577690 
 
 44 
 
 
 17 
 
 7-9727173 
 
 7-9859665 
 
 7-9988236 
 
 8-0113110 
 
 8-0234494 
 
 8-0352579 
 
 8-0467538 
 
 8-0579534 
 
 43 
 
 
 18 
 
 7-9729414 
 
 7-9861839 
 
 7-9990346 
 
 8-0115161 
 
 8-0236489 
 
 8-0354520 
 
 8-0469429 
 
 8-0581376 
 
 42 
 
 
 19 
 
 7-9731655 
 
 7-9864013 
 
 7-9992456 
 
 8-0117211 
 
 8-0238483 
 
 8-0356460 
 
 8-0471318 
 
 8-0583217 
 
 41 
 
 
 20 
 
 7-9733894 
 
 7-9866185 
 
 7-9994565 
 
 8-0119260 
 
 8-0240475 
 
 8-0358400 
 
 8-0473207 
 
 8-0585058 
 
 40 
 
 
 21 
 
 7-9736132 
 
 7-9868356 
 
 7-9996673 
 
 8-0121308 
 
 8-0242467 
 
 8-0360338 
 
 8-0475095 
 
 8-0586898 
 
 39 
 
 
 22 
 
 7-9738369 
 
 7-9870526 
 
 7-9998780 
 
 8-0123356 
 
 8-0244458 
 
 8-0362276 
 
 8-0476982 
 
 8-0588737 
 
 38 
 
 
 23 
 
 7-9740605 
 
 7-9872695 
 
 8-0000886 
 
 8-0125402 
 
 8-0246448 
 
 8-0364213 
 
 8-0478869 
 
 8-0590576 
 
 37 
 
 
 24 
 
 7-9742840 
 
 7-9874862 
 
 8-0002991 
 
 8-0127447 
 
 8-0248437 
 
 8-0366149 
 
 8-0480754 
 
 8-0592414 
 
 36 
 
 
 25 
 
 7-9745073 
 
 7-9877029 
 
 8-0005094 
 
 8-0129492 
 
 8-0250426 
 
 8-0368084 
 
 8-0482639 
 
 8-0594250 
 
 35 
 
 
 26 
 
 7-9747306 
 
 7-9879195 
 
 8-0007197 
 
 8-0131535 
 
 8-0252413 
 
 8-0370018 
 
 8-0484523 
 
 8-0596087 
 
 34 
 
 
 27 
 
 7-9749537 
 
 7-9881359 
 
 8-0009299 
 
 8-0133578 
 
 8-0254399 
 
 8-0371951 
 
 8-0486406 
 
 8-0597922 
 
 33 
 
 
 28 
 
 7-9751767 
 
 7-9883523 
 
 8-0011400 
 
 8-0135619 
 
 8-0256385 
 
 8-0373884 
 
 8-0488288 
 
 8-0599756 
 
 32 
 
 
 29 
 
 7-9753996 
 
 7-9885685 
 
 8-0013499 
 
 8-0137660 
 
 8-0258369 
 
 8-0375815 
 
 8-0490169 
 
 8-0601590 
 
 31 
 
 
 30 
 
 7-9756224 
 
 7-9887847 
 
 8-0015598 
 
 8-0139699 
 
 8-0260353 
 
 8-0377746 
 
 8-0492050 
 
 8-0603423 30 
 
 
 31 
 
 7-9758451 
 
 7-9890007 
 
 8-0017696 
 
 8-0141738 
 
 8-0262336 
 
 8-0379676 
 
 8-0493930 
 
 8-0605255 
 
 29 
 
 
 32 
 
 7-9760676 
 
 7-9892166 
 
 8-0019792 
 
 8-0143775 
 
 8-0264318 
 
 8-0381605 
 
 8-0495809 
 
 8-0607087 
 
 28 
 
 
 33 
 
 7-9762901 
 
 7-9894324 
 
 8-0021888 
 
 8-0145812 
 
 8-0266299 
 
 8-0383533 
 
 8-0497687 
 
 8-0608918 
 
 27 
 
 
 34 
 
 7-9765124 
 
 7-9896481 
 
 3-0023983 
 
 8-0147848 
 
 8-0268279 
 
 8-0385461 
 
 8-0499564 
 
 8-0610748 
 
 26 
 
 
 35 
 
 7-9767S46 
 
 7-9898637 
 
 8-0026076 
 
 8-0149883 
 
 8-0270258 
 
 8-0387387 
 
 8-0501441 
 
 8-0612577 
 
 25 
 
 
 36 
 
 7-9769567 
 
 7-9900792 
 
 8-0028169 
 
 8-0151916 
 
 8-0272236 
 
 8-0389313 
 
 8-0503317 
 
 8-0614405 
 
 24 
 
 
 37 
 
 7-9771787 
 
 7-9902946 
 
 8-0030260 
 
 8-0153949 
 
 8-0274213 
 
 8-0391238 
 
 8-0505192 
 
 8-0616233 
 
 23 
 
 
 38 
 
 7-9774006 
 
 7-9905099 
 
 8-0032351 
 
 8-0155981 
 
 8-0276190 
 
 8-0393162 
 
 8-0507066 
 
 8-0618060 
 
 22 
 
 
 39 
 
 7-9776224 
 
 7-9907251 
 
 8-0034441 
 
 8-0158012 
 
 8-0278166 
 
 8-0395085 
 
 8-0508939 
 
 8-0619886 
 
 21 
 
 
 40 
 
 7-9778440 
 
 7-9909401 
 
 8-0036529 
 
 8-0160042 
 
 8-0280140 
 
 8-0397007 
 
 8-0510812 
 
 8-0621711 
 
 20 
 
 
 41 
 
 7-9780655 
 
 7-9911551 
 
 8-0038817 
 
 8-0162071 
 
 8-0282114 
 
 8-0398928 
 
 8-0512683 
 
 8-0623536 
 
 19 
 
 
 42 
 
 7-9782870 
 
 7-9913699 
 
 8-00407O3 
 
 8-0164099 
 
 8-0284087 
 
 8-0400849 
 
 8-0514554 
 
 8-0625359 
 
 18 
 
 
 43 
 
 7-9785083 
 
 7-9915847 
 
 8-0042789 
 
 8-0166127 
 
 8-0286059 
 
 8-0402768 
 
 8-0516424 
 
 8-0627182 
 
 17 
 
 
 44 
 
 7-9787295 
 
 7-9917993 
 
 8-0044874 
 
 8-0168153 
 
 8-0288030 
 
 8-0404687 
 
 8-0518294 
 
 8-0629005 
 
 16 
 
 
 45 
 
 7-9789506 
 
 7-9920138 
 
 8-0046957 
 
 8-0170178 
 
 8-0290000 
 
 8-0406605 
 
 8-0520162 
 
 8-0630826 
 
 15 
 
 
 46 
 
 7-9791715 
 
 7-9922283 
 
 8-0049040 
 
 8-0172203 
 
 8-0291969 
 
 8-0408522 
 
 8-0522030 
 
 8-0632647 
 
 14 
 
 
 47 
 
 7-9793924 
 
 7-9924426 
 
 8-0051121 
 
 8-0174226 
 
 8-0293938 
 
 3-0410439 
 
 8-0523897 
 
 8-0634467 
 
 13 
 
 
 48 
 
 7-9796131 
 
 7-9926568 
 
 8-0053202 
 
 3-0176248 
 
 8-0295905 
 
 8-0412354 
 
 8-0525763 
 
 8-0636286 
 
 12 
 
 
 49 
 
 7-9798338 
 
 7-9928709 
 
 8-0055282 
 
 8-0178270 
 
 8-0297872 
 
 3-0414269 
 
 8-0527628 
 
 8-0638104 
 
 11 
 
 
 50 
 
 7-9800543 
 
 7-9930849 
 
 8-0057360 
 
 8-0180291 
 
 8-0299838 
 
 8-0416183 
 
 3-0529493 
 
 8-0639922 
 
 10 
 
 
 51 
 
 7-9802747 
 
 7-9932988 
 
 3-0059438 
 
 3-0182310 
 
 8-0301802 
 
 3-0418096 
 
 3-0531356 
 
 8-0641739 
 
 9 
 
 
 52 
 
 7-9804950 
 
 7-9935126 
 
 8-0061514 
 
 3-0184329 
 
 8-0303766 
 
 3-0420008 
 
 3-0533219 
 
 8-0643555 
 
 8 
 
 
 53 
 
 7-9807152 
 
 7-9937263 
 
 8-0063590 
 
 3-0186347 
 
 8-0305729 
 
 8-0421919 
 
 3-0535081 
 
 8-0645371 
 
 7 
 
 
 54 
 
 7-9809353 
 
 7-9939399 
 
 8-0065665 
 
 3-0188364 
 
 8-0307692 
 
 8-0423829 
 
 30536943 
 
 8-0647185 
 
 6 
 
 
 55 
 
 7-9811652 
 
 7-9941534 
 
 8-0067738 
 
 3-0190397 
 
 8-0309653 
 
 8-0425739 
 
 8-0538803 
 
 8-0648999 
 
 5 
 
 
 56 
 
 7-9813751 
 
 7-9943667 
 
 8-00S9811 
 
 3-0192394 
 
 8-0311613 
 
 8-0427648 
 
 8-0540663 
 
 8-0650812 
 
 4 
 
 
 57 
 
 7-9815948 
 
 7-9945800 
 
 8-0071883 
 
 8-0194408 
 
 8-0313573 
 
 8-0429555 
 
 8-0542522 
 
 8-0652625 
 
 3 
 
 
 58 
 
 7-9818145 
 
 7-9947932 
 
 8-0073953 
 
 8-0196422 
 
 8-0315531 
 
 8-0431462 
 
 8-0544380 
 
 8-0654436 
 
 2 
 
 
 59 
 
 7-9820340 
 
 7-9950062 
 
 8-0076023 
 
 8-0198434 
 
 8-0317489 
 
 8-0433369 
 
 3-0546237 
 
 8-0656247 
 
 1 
 
 
 60 
 
 IT 
 
 7-9822^34 
 
 7-9952192 
 
 8-0078092 
 
 8-0200445 
 
 8-0319446 
 
 8-0435274 
 
 8-0548094 
 
 8-0658057 
 
 
 
 
 27' 
 
 26' 
 
 25' 
 
 24' 
 
 23' 
 
 22' 
 
 2]' 
 
 20' 
 
 7i' 
 
 
 LOG. COTANGENTS. 3 G S 89 Defi[. 
 
(32&) ODeg. 
 
 
 LOG. SINES. 
 
 
 
 Tab. 9. 
 
 ti 
 
 4(y 
 
 41' 
 
 42' 
 
 ^8' 
 
 44' 
 
 '15' 
 
 46' 
 
 47' 
 
 w 
 
 "o 
 
 8-0657763 
 
 8-0764997 
 
 8-0869646 
 
 8-0971832 
 
 H- 107 1669 
 
 8-1169262 
 
 8-1264710 
 
 8-1358104 
 
 60 
 
 1 
 
 8-0659572 
 
 8-0766762 
 
 8-0871369 
 
 8-0973515 
 
 8-1073314 
 
 8-1170870 
 
 8-1266283 
 
 8-1359644 
 
 59 
 
 2 
 
 8-0661381 
 
 8-0768526' 
 
 8-0873091 
 
 8-0975198 
 
 8-1074958 
 
 8-1172478 
 
 8-1267856 
 
 8-1361183 
 
 58 
 
 a 
 
 8-0663188 
 
 8-0770290 
 
 8-0874813 
 
 8-0976879 
 
 8-1076601 
 
 8-1174086 
 
 8-1269428 
 
 8-1362722 
 
 57 
 
 4 
 
 8-0664995 
 
 8-0772062 
 
 8-0876534 
 
 8-0978560 
 
 8-1078244 
 
 8-1175691 
 
 8-1270999 
 
 8-1364260 
 
 56 
 
 5 
 
 8-0666801 
 
 8-0773815 
 
 8-0878254 
 
 8-0980240 
 
 8-10798^6 
 
 8-1177297 
 
 8-1272570 
 
 8-1365797 
 
 55 
 
 6 
 
 8-0668606 
 
 8-0775576 
 
 8-0879974 
 
 8-0981920 
 
 8-1081528 
 
 8-1178902 
 
 8-1274140 
 
 8-1367334 
 
 54 
 
 7 
 
 8-0670411 
 
 8-0777337 
 
 8-0881692 
 
 8-0983599 
 
 8-1083169 
 
 8-1180507 
 
 8-1275710 
 
 8-1368871 
 
 53 
 
 8 
 
 8-0672215 
 
 8-0779097 
 
 8-0883411 
 
 8-0985277 
 
 8-1084809 
 
 8-1182111 
 
 8-1277279 
 
 8-1370407 
 
 52 
 
 » 
 
 8-0674018 
 
 8-0780856 
 
 8-0886128 
 
 8-098(:"955 
 
 8-1086449 
 
 8-1183714 
 
 8-1278848 
 
 8-1371942 
 
 51 
 
 10 
 
 8-0675820 
 
 8-0782614 
 
 8-0886845 
 
 8-0988632 
 
 8-1088088 
 
 8-1185317 
 
 8-128041 G 
 
 8-1373477 
 
 50 
 
 11 
 
 8-0677622 
 
 8-0784372 
 
 8-0888561 
 
 8-0990309 
 
 8-1089726 
 
 8-1186919 
 
 8-1281983 
 
 8-1375011 
 
 49 
 
 12 
 
 8-0679423 
 
 8-0786129 
 
 8-0890277 
 
 8-0991984 
 
 8-1091364 
 
 8^1188520 
 
 8-1283550 
 
 8-1376545 
 
 48 
 
 13 
 
 8-0681223 
 
 8-0787886 
 
 8-0891991 
 
 8-0993659 
 
 8-1093001 
 
 8-1190121 
 
 8-1285117 
 
 8-1378078 
 
 47 
 
 14 
 
 8-0683022 
 
 8-0789641 
 
 8-0893706 
 
 8-0995334 
 
 8-1094638 
 
 8-1191722 
 
 8-1286682 
 
 8-1379610 
 
 46 
 
 15 
 
 8-0684821 
 
 8-0791396 
 
 8-0895419 
 
 8-0997008 
 
 8-1096274 
 
 8-1193322 
 
 8-1288248 
 
 8-1381143 
 
 45 
 
 16- 
 
 8-0686619 
 
 8-0793151 
 
 8-0897132 
 
 8-0998681 
 
 8-1097909 
 
 8-1194921 
 
 8-1289812 
 
 8-1382674 
 
 44 
 
 17 
 
 8-0688416 
 
 8-0794904 
 
 8-0898844 
 
 8-1000353 
 
 8-1099544 
 
 8-1196519 
 
 8-1291376 
 
 8-1384205 
 
 43 
 
 18 
 
 80690212 
 
 8-0796657 
 
 8-0900555 
 
 8-1002025 
 
 8-1101178 
 
 8-1198118 
 
 8-1292940 
 
 8-1385736 
 
 42 
 
 19 
 
 8-0692008 
 
 8-0798409 
 
 8-0902266 
 
 8-1003697 
 
 8-1102812 
 
 8-1199715 
 
 8-1294503 
 
 8-1387265 
 
 41 
 
 20 
 
 8-0693803 
 
 8-0800161 
 
 3-0903976 
 
 8-1005367 
 
 8-1104445 
 
 8-1201312 
 
 8-1296066 
 
 8-1388795 
 
 40 
 
 21 
 
 8-0695597 
 
 8-0801912 
 
 8-0905685 
 
 8-1007037 
 
 8-1106077 
 
 8-1202908 
 
 8-1297627 
 
 8-1390324 
 
 39 
 
 22 
 
 8-0697390 
 
 8-0803662 
 
 8-0907394 
 
 8-1008706 
 
 8-1107709 
 
 8-1204504 
 
 8-1299188 
 
 8-1391852 
 
 38 
 
 23 
 
 8-0699183 
 
 8-0805411 
 
 8-0909102 
 
 8-1010375 
 
 8-1109340 
 
 8-1206099 
 
 8-1300749 
 
 8-1393380 
 
 37 
 
 24 
 
 8-0700975 
 
 8-0807160 
 
 8-0910810 
 
 8-1012043 
 
 8-1110970 
 
 8-1207693 
 
 8-1302309 
 
 8-1394907 
 
 36 
 
 25 
 
 8-0702766 
 
 8-0808908 
 
 8-0912516 
 
 8-1013710 
 
 8-1112600 
 
 8-1209287 
 
 8-1303869 
 
 8-1396434 
 
 35 
 
 26 
 
 3-0704557 
 
 8-0810655 
 
 8-0914222 
 
 8-1015377 
 
 8-1114229 
 
 8-1210881 
 
 8-1305428 
 
 8-1397960 
 
 34 
 
 27 
 
 8-0706346 
 
 8-0812401 
 
 8-0915928 
 
 8-1017043 
 
 8-1115858 
 
 8-1212474 
 
 8-1306986 
 
 8-1399485 
 
 33 
 
 28 
 
 8-0708135 
 
 8-0814147 
 
 8-0917632 
 
 8-1018709 
 
 8-1117486 
 
 8-1214066 
 
 8-1308544 
 
 8-1401011 
 
 32 
 
 29 
 
 8-0709923 
 
 8-081589'i 
 
 8-0919336 
 
 8-1020374 
 
 8-1119113 
 
 8-1215667 
 
 8-1310101 
 
 8-1402635 
 
 31 
 
 30 
 
 8-0711711 
 
 8-0817637 
 
 8-0921040 
 
 8-1022038 
 
 84120740 
 
 8-1217248 
 
 8-1311658 
 
 8-1404059 
 
 30 
 
 31 
 
 8-0713498 
 
 8-0819380 
 
 8-0922743 
 
 8-1023701 
 
 8-1122366 
 
 8-1218839 
 
 8-1313215 
 
 8-1405583 
 
 29 
 
 32 
 
 8-0715284 
 
 8-0821123 
 
 8-0924445 
 
 8-1025364 
 
 8-1123992 
 
 8-1220429 
 
 8-1314770 
 
 8-1407105 
 
 28 
 
 33 
 
 8-0717069 
 
 8-0822866 
 
 8-0926146 
 
 8-1027027 
 
 8-1125617 
 
 8-1222018 
 
 8-1316325 
 
 8-1408628 
 
 27 
 
 34 
 
 8-0718854 
 
 8-0824607 
 
 8-0927847 
 
 8-1028688 
 
 8-1127241 
 
 8-1223607 
 
 8-1317880 
 
 8-1410150 
 
 26 
 
 35 
 
 8-0720637 
 
 8-0826348 
 
 8-0929547 
 
 8-1030349 
 
 8-1128865 
 
 8-1225195 
 
 8-1319434 
 
 8-1411671 
 
 25 
 
 36 
 
 8-0722421 
 
 8-0828088 
 
 8-0931246 
 
 8-1032010 
 
 8-1130488 
 
 8-1226782 
 
 8-1320987 
 
 8-1413192 
 
 24 
 
 37 
 
 8-0724208 
 
 8-0829828 
 
 80932945 
 
 8-1033669 
 
 8-1132110 
 
 8-1228369 
 
 8-1322540 
 
 8-1414712 
 
 23 
 
 38 
 
 8-0725985 
 
 8-0831567 
 
 8-0934643 
 
 8-1035328 
 
 8-1133732 
 
 8-1229956 
 
 8-1324093 
 
 8-1416232 
 
 22 
 
 39 
 
 8-0727765 
 
 8-0833306 
 
 8-0936340 
 
 8-1036987 
 
 8-1135354 
 
 8-1231541 
 
 8-1325644 
 
 8-1417751 
 
 21 
 
 40 
 
 8-0729546 
 
 8-0835042 
 
 8-0938037 
 
 8-1038645 
 
 8-1136974 
 
 8-1233127 
 
 8-1327196 
 
 8-1419270 
 
 20 
 
 41 
 
 8-0731325 
 
 8-0836779 
 
 8-0939733 
 
 8-1040302 
 
 8-1138595 
 
 8-1234711 
 
 8-1328746 
 
 8-1420788 
 
 19 
 
 42 
 
 8-0733104 
 
 8-0838516 
 
 8-0941428 
 
 8-1041959 
 
 8-1140214 
 
 8- 1236296 
 
 8-1330296 
 
 8-1422306 
 
 18 
 
 43 
 
 8-0734882 
 
 8-0840251 
 
 8-0943123 
 
 8-1043615 
 
 8-1141833 
 
 8-1237879 
 
 8-1331840 
 
 8-1423823 
 
 17 
 
 44 
 
 8-0736659 
 
 8-0841985 
 
 8-0944817 
 
 8-1045270 
 
 8-1143451 
 
 8-1239462 
 
 8-1333395 
 
 8-1425339 
 
 16 
 
 45 
 
 8-0738436 
 
 8-0843719 
 
 8-0946510 
 
 8-1046925 
 
 8-1145069 
 
 8-1241044 
 
 8-1334943 
 
 8-1426855 
 
 15 
 
 46 
 
 8-0740211 
 
 8-0845452 
 
 8-0948203 
 
 8-1048579 
 
 8-1146686 
 
 8-1242626 
 
 8-1336491 
 
 8-1428371 
 
 14 
 
 47 
 
 8-0741986 
 
 8-0847185 
 
 8-0949896 
 
 8-1060232 
 
 8-11 48302 
 
 8-1244207 
 
 8-1338039 
 
 8-1429886 
 
 13 
 
 48 
 
 8-0743761 
 
 8-0848917 
 
 8-0951587 
 
 8-1051885 
 
 8-1149918 
 
 8-1245787 
 
 8-1339586 
 
 8-1431400 
 
 12 
 
 49 
 
 8-0745534 
 
 8-0850648 
 
 8-0953277 
 
 8-1053537 
 
 8-1151534 
 
 8-1247367 
 
 8-1341132 
 
 8-1432914 
 
 11 
 
 50 
 
 8-0747307 
 
 8-0852379 
 
 8-0964968 
 
 8-1055188 
 
 8-1153148 
 
 8-1248947 
 
 8-1342678 
 
 8-1434427 
 
 10 
 
 61 
 
 8-0749080 
 
 8-0854109 
 
 8-0956657 
 
 8-1056839 
 
 8-1154762 
 
 8-1250526 
 
 8-1344223 
 
 8-1435940 
 
 9 
 
 52 
 
 8-0750851 
 
 8-0855838 
 
 8-0958346 
 
 8-1058490 
 
 8-1156376 
 
 8-1252104 
 
 8-1346767 
 
 8-1437453 
 
 8 
 
 53 
 
 8-0752622 
 
 8-0857566 
 
 8-0960034 
 
 8-1060139 
 
 8-1157989 
 
 8-1253682 
 
 8-1347311 
 
 8-1438964 
 
 7 
 
 54 
 
 8-0754392 
 
 8-0859294 
 
 8-0961721 
 
 8-1061788 
 
 8-1159601 
 
 8-1255259 
 
 8-1348855 
 
 8-1440476 
 
 6 
 
 55 
 
 8-0756161 
 
 8-0861021 
 
 8-0963408 
 
 8-1063437 
 
 8-1161213 
 
 8-1256836 
 
 8-1350398 
 
 8-1441987 
 
 6 
 
 56 
 
 8-0757930 
 
 8-0862747 
 
 8-0965094 
 
 8-1065085 
 
 8-1162824 
 
 8-1258412 
 
 8-1351940 
 
 8-1443497 
 
 4 
 
 57 
 
 8-0759698 
 
 8-0864473 
 
 8-0966780 
 
 8-1066732 
 
 8" 1164434 
 
 8-1259987 
 
 8-1353482 
 
 8-1445006 
 
 3 
 
 58 
 
 8-0761465 
 
 8-0866198 
 
 8-0968465 
 
 8-1068378 
 
 8-1166044 
 
 8-1261562 
 
 8-1356023 
 
 8-1446516 
 
 2 
 
 59 
 
 8-0763231 
 
 ^.-0367922 
 
 8-0970149 
 
 8-1070024 
 
 8-1167654 
 
 8-1263136 
 
 8-1356564 
 
 8-1448024 
 
 1 
 
 60i8-0764997|3-U869646 
 
 8-0971832 
 
 8-1071669 
 
 8-1169262 
 
 8-1264710 
 
 8-1358104 
 
 8-1449532 
 
 
 
 U 
 
 19[ 1 18' 
 
 17' 
 
 16' 
 
 15' 
 
 14' 
 
 13' 
 
 12' 
 
 T 
 
 Toa rnsTxrirs. 
 
 SO Dpoc. 
 
Deo;. 
 
 
 LOG. TANGENTS. 
 
 
 (229) 
 
 // 
 
 4(1' 
 
 41' 
 
 42' 
 
 43 
 
 44' 
 
 46' 
 
 46' 
 
 47' 
 
 // ' 
 
 ~o 
 
 8-0658057 
 
 8-0765306 
 
 8-0869970 
 
 8-0972172 
 
 8-1072025 
 
 8-1169634 
 
 8-1266099 
 
 8-1358510 
 
 60 
 
 1 
 
 8-0659866 
 
 8-0767071 
 
 8-0871693 
 
 8-0973856 
 
 8-1073670 
 
 8-1171243 
 
 8-1266672 
 
 8-1360050 
 
 59 
 
 2 
 
 8 -066 167 5 
 
 8-0768835 
 
 8-0873416 
 
 8-0975538 
 
 8-1075314 
 
 8-1172851 
 
 8-1268245 
 
 8-1361590 
 
 58 
 
 3 
 
 8-0663483 
 
 8-0770599 
 
 8-0875138 
 
 8-0977220 
 
 8-1076968 
 
 8-1174458 
 
 8-1269817 
 
 8-1363129 
 
 57 
 
 4 
 
 8-0665290 
 
 8-0772362 
 
 8-0876869 
 
 8-0978901 
 
 8-1078601 
 
 8-1176064 
 
 8-1271389 
 
 8-1364667 
 
 56 
 
 5 
 
 8-0667096 
 
 8-0774125 
 
 8-0878679 
 
 8-0980582 
 
 8-1080243 
 
 8-1177670 
 
 8-1272960 
 
 8-1366205 
 
 55 
 
 6 
 
 8-066890:? 
 
 8-0775886 
 
 8-0880299 
 
 8-0982261 
 
 8-1081885 
 
 8-1179276 
 
 8-1274531 
 
 8-1367742 
 
 54 
 
 7 
 
 8-0670707 
 
 8-0777647 
 
 8-0882018 
 
 8-0983941 
 
 8-1083526 
 
 8-1180881 
 
 8-1276101 
 
 8-1369279 
 
 53 
 
 8 
 
 8-0672511 
 
 8-0779407 
 
 8-0883737 
 
 8-0985619 
 
 8-1085167 
 
 8-1182485 
 
 8-1277670 
 
 8-1370815 
 
 52 
 
 9 
 
 8-0674314 
 
 8-0781167 
 
 8-0885455 
 
 8-0987297 
 
 8-1086807 
 
 8-1184088 
 
 8-1279239 
 
 8-1372360 
 
 51 
 
 10 
 
 8-0676117 
 
 8-0782926 
 
 8-0887172 
 
 8-0988975 
 
 3-1088446 
 
 8-1185691 
 
 8-1280807 
 
 8-1373886 
 
 50 
 
 11 
 
 8-0677919 
 
 8-0784684 
 
 8-0888888 
 
 8-0990651 
 
 8-1090086 
 
 8-1187294 
 
 8-1282375 
 
 8-1375420 
 
 49 
 
 12 
 
 8-0679720 
 
 8-0786441 
 
 8-0890604 
 
 8-0992327 
 
 8-1091723 
 
 8-1188896 
 
 8-1283942 
 
 8-1376954 
 
 48 
 
 13 
 
 8-0681520 
 
 8-0788198 
 
 8-0892319 
 
 8-0994003 
 
 8-1193361 
 
 8-1190497 
 
 8-1285509 
 
 8-1378488 
 
 47 
 
 14 
 
 8-0683320 
 
 8-0789954 
 
 8-0894033 
 
 8-0995677 
 
 8-1194998 
 
 8-1192098 
 
 8-1287075 
 
 8-1380020 
 
 46 
 
 15 
 
 8-0685118 
 
 8-0791709 
 
 8-0895747 
 
 8-0997351 
 
 8-1196634 
 
 8-ri93698 
 
 8-1288641 
 
 8-1381553 
 
 45 
 
 16 
 
 8-0686917 
 
 8-0793464 
 
 8-0897460 
 
 8-0999025 
 
 8-1198269 
 
 8-1195297 
 
 8-1290206 
 
 8-1383085 
 
 44 
 
 17 
 
 8-0688714 
 
 8-0795218 
 
 8-0899172 
 
 8-1000698 
 
 8-1199904 
 
 8-1196896 
 
 8-1291770 
 
 8-1384616 
 
 43 
 
 18 
 
 8-0690611 
 
 8-0796971 
 
 8-0900884 
 
 8-1002370 
 
 8-1101539 
 
 8-1198495 
 
 8-1293334 
 
 8-1386147 
 
 42 
 
 19 
 
 8-0692306 
 
 8-0798723 
 
 8-0902595 
 
 8-1004041 
 
 8-1103173 
 
 8-1200092 
 
 8-1294897 
 
 8-1387677 
 
 41 
 
 20 
 
 8-0694102 
 
 8-0800475 
 
 8-0904305 
 
 8-1005712 
 
 8-1104806 
 
 8.1201689 
 
 8-1296460 
 
 8-1389207 
 
 40 
 
 21 
 
 8-0695896 
 
 8-0802226 
 
 8-0906015 
 
 8.1007382 
 
 8-1106438 
 
 8-1203286 
 
 8-1298022 
 
 8-1390736 
 
 39 
 
 22 
 
 8-0697690 
 
 8-0803976 
 
 8-0907724 
 
 8-1009052 
 
 8-1108070 
 
 8-1204882 
 
 8-1299583 
 
 8-1392264 
 
 38 
 
 23 
 
 8-0699483 
 
 8-0805726 
 
 8-0909432 
 
 8-1010721 
 
 8-1109702 
 
 8-1206477 
 
 8-1301144 
 
 8-1393792 
 
 37 
 
 24 
 
 8-0701275 
 
 8-0807475 
 
 8-0911140 
 
 8-1012389 
 
 8-1111332 
 
 8-1208072 
 
 8-1302705 
 
 8-1395320 
 
 36 
 
 25 
 
 8-0703066 
 
 8-0809223 
 
 8-0912847 
 
 8-1014057 
 
 8-1112962 
 
 8-1209666 
 
 8-1304265 
 
 8-1396847 
 
 35 
 
 26 
 
 8-0704857 
 
 8-0810970 
 
 8-0914563 
 
 8-1015724 
 
 8-1114592 
 
 8-1211260 
 
 8-1305824 
 
 8-1398373 
 
 34 
 
 27 
 
 8-0706647 
 
 8-0812717 
 
 8-0916259 
 
 8-1017390 
 
 8-1116221 
 
 8-1212853 
 
 8-1307383 
 
 8-1399899 
 
 33 
 
 28 
 
 8-0708436 
 
 8-0814463 
 
 8-0917964 
 
 8-1019066 
 
 8-1117849 
 
 8-1214446 
 
 8-1308941 
 
 8-1401426 
 
 32 
 
 29 
 
 8-0710225 
 
 8-0816208 
 
 8-0919668 
 
 8-1020721 
 
 8-1119477 
 
 8-1216037 
 
 8-1310498 
 
 8-1402949 
 
 31 
 
 30 
 
 8-0712012 
 
 8-0817953 
 
 8-0921372 
 
 8-1022386 
 
 8-1121104 
 
 8-1217629 
 
 8-1312056 
 
 8-1404474 
 
 30 
 
 31 
 
 8-0713799 
 
 8-0819697 
 
 8-0923075 
 
 8-1024049 
 
 8-1122730 
 
 8-1219219 
 
 8-1313612 
 
 8-1405997 
 
 29 
 
 32 
 
 8-0715586 
 
 8-0821440 
 
 8-0924777 
 
 8- 1 0257 1 3 
 
 8-1124356 
 
 8-1220810 
 
 8-1316168 
 
 8-1407521 
 
 28 
 
 33 
 
 8-0717371 
 
 8-0823183 
 
 8-0926479 
 
 8-1027375 
 
 8-1125981 
 
 8-1222399 
 
 8-1316723 
 
 8-1409043 
 
 27 
 
 34 
 
 8-0719166 
 
 8-0824925 
 
 8-0928180 
 
 8-1029037 
 
 8-1127606 
 
 8-1223988 
 
 8-1318^278 
 
 8-1410566 
 
 26 
 
 35 
 
 8-0720940 
 
 8-0826666 
 
 8-0929880 
 
 8-1030698 
 
 8-1129230 
 
 8-1225577 
 
 8-1319833 
 
 8-1412087 
 
 25 
 
 36 
 
 8-0722723 
 
 8-0828406 
 
 8-0931579 
 
 8-1032359 
 
 8-1130853 
 
 8-1227164 
 
 8-1321386 
 
 8-1413608 
 
 24 
 
 37 
 
 8-0724506 
 
 8-0830146 
 
 8-0933278 
 
 8-1034019 
 
 8-1132476 
 
 8.1228752 
 
 8-1322940 
 
 8-1415129 
 
 23 
 
 3« 
 
 8-0726288 
 
 8-0831885 
 
 8-0934977 
 
 8-1035678 
 
 8-1134098 
 
 8-1230338 
 
 8-1324492 
 
 8-1416649 
 
 22 
 
 39 
 
 8-0728069 
 
 8-0833624 
 
 8-0936674 
 
 8-1037337 
 
 8-1135720 
 
 8-1231924 
 
 8-1326044 
 
 8-1418168 
 
 21 
 
 40 
 
 8-0729850 
 
 8-0835361 
 
 8-0938371 
 
 8-1038995 
 
 8-1137341 
 
 8-1233510 
 
 8-1327596 
 
 8-1419687 
 
 20 
 
 41 
 
 8-0731629 
 
 8-0837098 
 
 8-0940068 
 
 8-1040653 
 
 8-1138961 
 
 8-1235095 
 
 8-1329147 
 
 8-1421206 
 
 19 
 
 42 
 
 8-0733408 
 
 8-0838835 
 
 8-0941763 
 
 8-1042309 
 
 8-1140681 
 
 8-1236679 
 
 8-1330697 
 
 8-1422724 
 
 18 
 
 43 
 
 8-0735186 
 
 8-0840570 
 
 8-0943458 
 
 8-1043966 
 
 8-1142200 
 
 8-1238263 
 
 8-1332247 
 
 8-1424241 
 
 17 
 
 44 
 
 8-0736964 
 
 8-0842305 
 
 8-0946153 
 
 8-1045621 
 
 8-1143819 
 
 8-1239846 
 
 8-1333796 
 
 8-1425758 
 
 16 
 
 45 
 
 8-0738741 
 
 8-0844039 
 
 8-0946846 
 
 8-1047276 
 
 8-1145437 
 
 8-1241429 
 
 8-1335345 
 
 8-1427274 
 
 15 
 
 46 
 
 8-0740517 
 
 8-0845773 
 
 8-0948539 
 
 8-1048931 
 
 8-1147054 
 
 8-1243011 
 
 8-1336893 
 
 8-1428790 
 
 14 
 
 47 
 
 8-0742292 
 
 8-0847506 
 
 8-0950232 
 
 8-1060584 
 
 8-1148671 
 
 8-1244592 
 
 8-1338441 
 
 8-1430305 
 
 13 
 
 48 
 
 8-0744067 
 
 8-0849238 
 
 8-0951923 
 
 8-1052237 
 
 8-1150287 
 
 8-1246173 
 
 8-1339988 
 
 8-1431802 
 
 12 
 
 49 
 
 8-0745841 
 
 8-0850969 
 
 8-0953614 
 
 8-1053890 
 
 8-1151903 
 
 8-1247753 
 
 81341535 
 
 8-1433334 
 
 11 
 
 50 
 
 8-0747614 
 
 8-0852700 
 
 8-0955305 
 
 8-1065542 
 
 8-1153518 
 
 8-1249333 
 
 8-1343081 
 
 8-1434848 
 
 10 
 
 51 
 
 8-0749386 
 
 8-0854430 
 
 8-0956994 
 
 8-1067193 
 
 8-1165132 
 
 8-1250912 
 
 8-1344626 
 
 8-1436361 
 
 9 
 
 52 
 
 8-0751158 
 
 8-0856160 
 
 8-0958683 
 
 8-1058843 
 
 8-1153746 
 
 8-1252491 
 
 8-1346171 
 
 8-1437874 
 
 8 
 
 53 
 
 8-0752929 
 
 8-0857888 
 
 8-0960372 
 
 8-1060493 
 
 8-1158359 
 
 8-1254069 
 
 8-1347715 
 
 8-1439386 
 
 7 
 
 54 
 
 8-0754699 
 
 8-0859616 
 
 8-0962060 
 
 8-1062142 
 
 8-1159972 
 
 8-1255646 
 
 8-1349259 
 
 8-1440897 
 
 6 
 
 55 
 
 8-0756469 
 
 8-0861344 
 
 8-0963747 
 
 8-1063791 
 
 8-1161584 
 
 8-1257223 
 
 8-1350802 
 
 8-1442408 
 
 5 
 
 56 
 
 8-0758238 
 
 8-0863070 
 
 8-0965433 
 
 8-1065439 
 
 8-1163195 
 
 8-1253799 
 
 8-1352345 
 
 8-1443919 
 
 4 
 
 67 
 
 8-0760006 
 
 8-0864796 
 
 8-0967119 
 
 8-1067087 
 
 8-1164806 
 
 8-1260375 
 
 8-1353887 
 
 8-1445429 
 
 3 
 
 58 
 
 8-0761773 
 
 8-0866522 
 
 8-0968804 
 
 8-1068733 
 
 8-1166416 
 
 8-1261950 
 
 8-1355429 
 
 8-1446938 
 
 2 
 
 59 
 
 8-0763540 
 
 8-0868246 
 
 8-0970488 
 
 8-1070380 
 
 8-1168025 
 
 8-1263525 
 
 8-1356970 
 
 8-1448447 
 
 1 
 
 60 
 
 8-0765306 
 
 8-08(59970 
 
 8-0972172 
 
 8-1072025 
 
 8-1169634 
 
 8-1265099 
 
 8-1358510 
 
 8-1449956 
 
 
 
 7 
 
 19' 
 
 18' 
 
 17' 
 
 16' 15' 
 
 14' 
 
 13' 
 
 12' 
 
 ,'/ 
 
(280) Peg. 
 
 lOG. SINES, 
 
 Tab. g. 
 
 48' 
 
 •144953:^ 
 •I 45 1 040 
 1452547 
 1454054 
 1455560 8 
 1457065 8 
 1458570 8 
 
 49 
 
 146007D 
 1461579 
 1463082 
 1464585 
 1466087 
 1467589 
 
 24 8-1485571 
 
 8-1469091 
 8-1470591 
 8-1472092 
 8-1473592 
 8-1475091 
 8-1476590 
 8-1478088 
 1479586 
 8-1481083 
 8-1482579 
 8-1484076 
 
 8-1487066 
 8-1488561 
 8-1490055 
 81491549 
 8-1493042 8 
 
 1539075 
 1540562 
 1542028 
 1543504 
 1544979 
 1546454 
 1547928 
 
 j(y 
 
 8-1558235 
 8-1559705 
 8-1561175 
 8-1562644 
 8-1564113 
 8«1565582 
 
 8-1567049 
 8-1568517 
 8-1569984 
 8-1571450 
 8-1572916 
 8-1574381 
 
 1626808 
 1628255 
 1629702 
 1631149 
 1632594 
 1634040 
 1635485 
 
 8-1636929 
 8-1638373 
 8-1639817 
 8-1641259 
 1642702 
 
 8-1549402 
 8-1550876 
 8-1552348 
 8-1553821 
 8-1565293 
 e- 1556764 8-1644144 
 
 51 
 
 1712804 
 1714223 
 1715641 
 1717059 
 1718477 
 1719894 
 1721310 
 
 ri2' 
 
 8-1494534 8-1583163 
 
 -1496027 
 -1497518 
 -1499009 
 -1500500 
 •1501990 
 •1503479 
 •1504968 
 •1506457 
 ■1507945 
 •1509432 
 •1510919 
 ■1512406 
 •1513891 
 •1515377 
 •1516862 
 •1518346 
 •1519830 
 •1521314 
 •1522796 8 
 ■1524279 
 -1525761 
 1527242 
 1628723 
 1530203 
 1531683 
 1533163 
 1534641 
 •1536120 
 •1537598 
 1539075 
 
 11 
 
 8-1575846 
 8-1577310 
 8-1578774 
 8-1580238 
 581701 
 
 •1584625 
 ■1586086 
 1587547 
 1589008 
 1590468 
 1591927 
 1593386 
 1594845 
 1596303 
 1597760 
 1599217 
 1600674 
 1602130 
 1603585 
 1605040 
 1606495 
 1607949 
 1609403 
 1610856 
 1612308 
 •1613761 
 1615212 
 1616663 
 1618114 
 1619564 
 1621014 
 1622463 
 1623912 
 1625360 
 1626808 
 
 10' 
 
 8-1645586 
 8^1 647027 
 8-1648467 
 8-1649907 
 8-1651347 
 8-1652786 
 
 8-1654225 
 8-1655663 
 8-1657101 
 8-1658538 
 8-1659975 
 1661411 
 
 8- 1662847 
 8-1664282 
 1665717 
 8-16671 
 8-1668585 
 8-1670019 
 8' 
 8' 
 
 •1671452 
 •1672884 
 •1674316 
 •1675748 
 1677179 
 ■1678610 
 1680040 
 1681469 
 ■1682899 
 1684327 
 1685756 
 1687183 
 1688611 
 1690038 
 1691464 
 1692890 
 1694315 
 1695740 
 1697165 
 1698589 
 1700012 
 1701435 
 1702858 
 1704280 
 1705702 
 1707123 
 1708544 
 1709964 
 1711384 
 1712804 
 
 8-1722726 
 1724142 
 8-1725557 
 8-l72o9 
 8-1728386 
 8-1729800 
 8-1731214 
 8-1732627 
 8-1734039 
 8-1735451 
 8-1736863 
 8-1738274 
 8-1739684 
 8-1741094 
 8-1742504 
 8-1743913 
 8-1745322 
 8-1746731 
 8-1748138 
 8-1749546 
 8-1750953 
 8-1752359 
 8-1753765 
 8-1755171 
 8-1756576 
 8-1757981 
 1759385 
 8-1760789 
 8-1762192 
 1763595 
 
 1764998 
 
 1766400 
 
 1767801 
 
 1769202 
 
 1770603 
 
 1772003 
 
 1773403 
 
 1774802 
 
 1776201 
 
 1777599 
 
 177S997 
 
 1780394 
 
 8-1781791 
 
 8-1783188 
 
 1784584 
 
 8-1785980 
 
 8-1787375 
 
 8-1788770 
 
 8-1790164 
 
 1791558 
 
 8-1792951 
 
 8-1794344 
 
 8-1795737 
 
 8-1797129 
 
 8' 
 
 ■1797129 
 1798521 
 1799912 
 1801303 
 1802693 
 1804083 
 1805472 
 1806861 
 1808250 
 1809638 
 1811025 
 1812413 
 1813799 
 
 8 
 8 
 8 
 8 
 
 8-1815186 
 8-1816571 
 8-1817957 
 8-1819342 
 8-1820726 
 8-1822111 
 
 8-1823494 
 
 8-1824877 
 8-1826260 
 8-1827643 
 8-1829024 
 8-1830406 
 
 8-1831787 
 
 8-1833 
 
 8-1834548 
 
 8-1835927 
 
 8-1837307 
 
 8-1838685 
 
 -1879848 
 -1881213 
 -1882578 
 -1883943 
 •1885307 
 •1886670 
 •1888034 
 '1889397 
 •1890759 
 '1892121 
 •1893482 
 •1894843 
 •1896204 
 •1897564 
 •1898924 
 •1900284 
 •1901643 
 •1903001 
 •1904359 
 
 8-1905717 
 8-1907074 
 8-1908431 
 8-1909788 
 8-1911144 
 8-1912499 
 
 167 8 
 
 -1840064 
 
 •1841442 
 
 •1842819 
 
 -1844196 
 
 •1845573 
 
 -1846949 
 
 •1848325 
 
 •1849700 
 
 •1851075 
 
 •1852450 
 
 •1853824 
 
 •1855197 
 
 ■1856570 
 
 •1857943 
 
 ■1859315 
 
 •1860687 
 
 •1862059 
 
 •1863430 
 
 •1864800 
 
 8-1866170 
 
 1867540 
 
 8-1868909 
 
 1870278 
 
 8-1871646 
 
 8-1873014 
 
 8-1874382 
 
 875749 
 
 8-1877116 
 
 8-1878482 
 
 1879848 
 
 54' 
 
 1961020 
 
 1962360 
 
 1963700 
 
 1965039 
 
 196637H 
 
 1967717 
 
 1969055 
 
 1970392 
 
 1971729 
 
 1973066 
 
 1974403 
 
 1975739 
 
 -1977074 
 
 8-1978409 
 
 8-1979744 
 
 8-1981078 
 
 1982412 
 
 8-1983746 
 
 8-1985079 
 
 8-1986412 
 
 8-1987744 
 
 8-1989076 
 
 1990407 
 
 1991738 
 
 1993069 
 
 55' 
 
 2040703 
 2042019 
 2043334 
 2044649 
 2045963 
 2047277 
 2048591 
 
 8-2049905 
 8-2051218 
 8-2052530 
 8-2053842 
 
 2056154 49 
 8-2056465 48 
 
 8-2057776 
 
 8.2059087 
 
 8-2060397 
 
 8-206170 
 
 8-2063016 
 
 8-206432 
 
 8-2065634 
 
 8-2066942 40 
 
 8-1913854 8-1994399 
 
 1915209 
 8-1916563 
 8-1917917 
 8-1919271 
 8-1920624 
 
 1921976 
 1923329 
 1924680 
 1926032 
 1927383 
 1928733 
 1930083 
 1931433 
 1932782 
 1934131 
 1935479 
 1936827 
 
 1938175 
 
 8-1939522 
 
 8-1940869 
 
 1942215 
 
 8-1943561 
 
 8-1944907 
 
 8-1946252 
 
 8-1947596 
 
 1948941 
 
 8-1950284 
 
 1951628 
 
 1952971 
 
 8-1954313 
 
 8-1955656 
 
 1956997 
 
 1958339 
 
 1959680 
 
 8-1961020 
 
 8-1995729 
 8-1997058 
 8-1998387 
 8-1999716 
 8-2001044 
 8-2002372 
 8-2003699 
 8-2005026 
 8-2006353 
 8-2007679 
 20Q9005 
 
 8-2010330 
 
 2011655 
 8-2012980 
 
 2014304 
 8-2015628 
 
 2016951 
 8-2018274 
 8-2019597 
 8-2020919 
 8-2022241 
 8-2023562 
 8-2024883 
 
 2026203 
 8-2027523 
 8-2028843 
 
 2030163 
 8-2031481 
 
 2032800 
 
 8-2034118 
 8-2035436 
 2036753 
 8-2038070 
 8-2039387 
 8-2040703 
 
 5' 
 
 G68250 
 
 8-2069557 
 
 2070864 
 
 8-2072171 
 
 8-2073477 35 
 
 8-2074783 
 8-2076088 
 8-2077393 
 8-2078698 
 8-2080002 
 
 2081306 
 
 2082610 
 8-2083913 
 
 2085216 
 8-2086518 
 8-2087820 
 8-2089121 
 8-2090422 
 8-2091723 
 
 2093024 
 8-2094324 
 8-2095623 
 8-2096922 
 8-2098221 
 
 2099520 
 8-2100818 
 8-2102115 
 8-2103412 
 
 8-2104709 
 8-2106006 
 
 2107302 
 8-2108598 
 8-2109893 
 8-2111188 
 
 2112482 
 8-2113777 
 8-2115070 
 8-2116364 
 8-2117657 
 
 2118949 
 
 T.nn. rnsTATTi's 
 
 GO Dprr 
 
ODeg. 
 
 LOG. TANGENTS. 
 
 (^51) 
 
 48' 
 
 49' 
 
 50' 
 
 51' 
 
 52' 
 
 53' 
 
 54' 
 
 55' 
 
 8- 1449966 
 8-1451464 
 8-1452971 
 8-1454478 
 8-1455984 
 8-1457490 
 
 1458995 
 8-1460500 
 8-1462004 
 
 1463508 
 
 1465011 
 8-1466514 
 
 1468016 
 
 8-1539516' 
 •1540993 
 
 8-1542470 
 1543946 
 1545422 
 1546897 
 
 8-1548371 
 1549846 
 
 8-1551319 
 1552792 
 1654265 
 1555737 
 1557209 
 
 146951 
 
 1471019 
 
 1472520 
 
 1474020 
 
 1475519 
 
 1477018 
 
 1478517 
 1480015 
 1481512 
 1483009 
 1484506 
 1486002 8 
 
 8-1487497 
 8-1488992 
 8-1490487 
 8-1491980 
 8-1493474 
 8-1494967 
 8-1496459 
 8-1497951 
 8-1499442 
 8-1500933 
 8-1502423 
 8-1503913 
 8-1505402 
 8-1506891 
 8-1508380 
 8-1509867 
 8-1511355 
 8-1512841 
 
 8-1514328 
 8-1515813 
 8-1517299 
 8-1518783 
 8-1520267 
 8-1521751 
 8-1523234 
 8-1524717 
 8-1526199 
 8-1527681 
 1529162 
 
 54 8-1530643 
 
 1558680 
 1560151 
 1561621 
 1563090 
 1564559 
 1566028 
 1567496 
 1568964 
 1570431 
 1571898 
 1573364 
 1574830 
 1576295 
 1577759 
 1579224 
 ■1580687 
 1582151 
 1583613 
 1585076 
 1586537 
 1587999 
 1589459 
 ■1590920 
 •1592379 
 •1593839 
 •1595297 
 •1696756 
 •1598213 
 •1599671 
 •1601128 
 •1602584 
 •1604040 
 ■1605495 
 ■1606950 
 ■1608404 
 •1609858 
 •1611312 
 -1612765 
 -1614217 
 -1615669 
 •1617121 
 •1618572 
 
 1627267 
 
 1628715 
 
 8-1630162 
 
 1631609 
 
 8-1633055 
 
 8-1634501 
 
 1635946 
 
 8-1637391 
 
 8-1638835 
 
 1640279 
 
 8-1641722 
 
 1643165 
 
 8-1644607 
 
 8-1646049 
 
 8-1647490 
 
 8^1648931 
 
 1650372 
 
 1651812 
 
 8-1653251 
 
 8-1654690 
 
 656128 
 
 8-1657566 
 
 8d 659004 
 
 8-1660441 
 
 8-1661878 
 
 1663314 
 
 1664749 
 
 8-1666185 
 
 8-1667619 
 
 8-1669054 
 
 8-1670487 
 
 1671921 
 
 1673353 
 
 16747S6 
 
 1676218 
 
 1677649 
 
 1679080 
 
 1680510 
 
 1681940 
 
 1683370 
 
 ■1684799 
 
 1686228 
 
 ■1687656 
 
 8-1718282 8-1797626 
 
 8-1714701 
 8-1716120 
 8-1717538 
 1718956 
 8-1720373 
 8-1721790 
 
 1723207 
 8-1724623 
 8-1726038 
 
 1727453 
 8-1728868 
 8-1730282 
 
 8-1689083 
 8-1690510 
 8-1691937 
 8-1693363 
 8-1694789 
 8-1696214 
 8-1697639 
 8-1699064 
 8-1700487 
 8-1701911 
 8-1703334 
 8-1704756 
 
 8-1532123 
 8-153360: 
 8-1535082 
 8-1536560 
 8-1538038 
 8-15395 16 
 
 8-1620022 8-1706178 
 8-1621472 8-1707600 
 
 8-1622922 
 8-1624371 
 8-1625819 
 8-1627267 
 
 10' 
 
 8-1709021 
 8-1710442 
 8-1711862 
 8-1 713282 
 
 1731696 
 1733109 
 1734522 
 1735934 
 1737346 
 •1738757 
 •1740168 
 ■1741579 
 •1742989 
 ■1744398 
 ■1745807 
 ■1747216 
 ■1748624 
 •1750032 
 ■1751439 
 ■1752846 
 ■1754252 
 ■1755658 
 ■1757064 
 ■1758469 
 ■1759873 
 ■1761278 
 •1762681 
 •1764084 
 
 •1765487 
 -1766889 
 •1768291 
 -1769693 
 -1771094 
 -1772494 
 •1773894 
 •1775294 
 -1776693 
 -1778091 
 •1779490 
 •1780887 
 •1782285 
 -1783^82 
 •1785078 
 •1786474 
 ■1787870 
 -1789265 
 
 8-1790659 
 
 8-1792054 
 1793447 
 
 8-1794841 
 796233 
 
 8-1797626 
 
 8' 
 
 8-1799018 
 8-1800409 
 8-1801800 
 8^1803191 
 8-1804581 
 
 1805971 
 8^1807360 
 8-1808749 
 8-1810137 
 8'1811525 
 8-1812913 
 
 1814300 
 8^1815687 
 8-181707S 
 8-1818459 
 8-1819844 
 8-1821229 
 8-1822613 
 
 8-1823997 
 1825381 
 
 8-1826764 
 
 8-1828146 8 
 •1829529 
 
 8-1830910 
 
 8-1880364|8^196l556 
 1962896 
 1964236 
 1965576 
 1966916 
 1968254 
 1969592 
 
 1881730 
 8-1883095 
 8-1884460 
 
 8-1885824 
 8-1887188 
 8^1888552 
 
 8^1832292 
 
 8^1833673 
 
 1835053 
 
 1836433 
 
 1837813 
 
 8-1839192 
 
 1840571 
 
 1841949 
 
 1843327 
 
 1844704 
 
 1846081 
 
 1847468 
 
 1848834 
 
 1850209 
 
 1851585 
 
 1852959 
 
 1854334 8 
 
 1855708 
 
 8-1889915 
 8-1891278 
 8-1892640 
 8-1894002 
 8-1895363 
 8-1896724 
 
 1898086 
 1899445 
 1900805 
 1902164 
 1903523 
 1904881 
 1906239 
 1907597 
 1908954 
 191031] 
 1911667 
 1913023 
 
 8-1914379 
 8-1915734 8 
 8-1917088 
 8-1918442 
 8-1919796 
 8-1921 150 
 
 8- 
 
 1970930 
 8-1972268 
 8-1973605 
 8-1974942 
 976278 
 8-1977614 
 8- 
 
 8-2041259 
 8-2042575 
 8-2043890 
 8-2045206 
 
 2046521 
 8-2047835 
 8-2049149 
 8-2050463 
 
 2051776 
 8-2053089 
 8-2054401 
 8-2055714 
 
 2057025 
 
 1978949 
 1980284 
 1981619 
 1982963 
 1984287 
 1985621 
 
 1986954 
 
 1988286 
 
 1989619 
 
 8-1990950 
 
 8-1992282 
 
 8-1993613 
 
 8-1994943 
 
 1996273 
 
 8-1997603 
 
 8-1998933 
 
 8-2000262 
 
 8-2001590 
 
 1857081 
 
 1858454 
 
 1859827 
 
 1861199 
 
 1862571 
 
 8-1863942 
 
 8-1865313 
 
 8-1866683 
 
 8-1868053 
 
 8-1869423 
 
 8^1870792 
 
 8-1872161 
 
 8-1873529 
 
 8-1874897 
 
 8-1876264 
 
 8-187763 
 
 8-1878998 
 
 8-1880364 
 
 7' 
 
 1922503 
 1923855 
 1925207 
 1926559 
 1927910 
 1929261 
 1930611 
 1931961 
 1933311 
 1934660 
 1936009 
 1937357 
 1938705 
 1940053 
 1941400 
 1942746 
 1944093 
 1945439 
 1946784 
 1948129 
 1949473 
 1950818 
 1952161 
 1953505 
 8-1954848 
 8-1956190 
 8-1957532 
 8-1958874 
 8-1960215 
 8-19615 56 
 
 6' 
 
 2002918 
 
 2004246 
 
 2005573 
 
 2006900 
 
 2008227 
 
 2009553 
 
 2010879 
 
 2012204 
 
 2013529 
 
 2014863 
 
 2019177 
 
 2017501 
 
 8-2018824 
 
 8-2020147 
 
 8-2021470 
 
 8-2022792 
 
 8-2024113 
 
 2025435 
 
 2058337 
 2059647 
 2060958 
 2062268 
 ■2063578 
 ■2064887 
 ■2066196 
 ■2067505 
 ■2068813 
 ■2070120 
 -2071428 
 2072735 
 
 8 
 8 
 8 
 8 
 8 
 8 
 8 
 8 
 
 8-2074041 
 2075348 
 8-2076653 
 8-2077959 
 8-2079264 
 8-2080568 
 
 2081873 
 2083176 
 ■2084480 
 2085783 
 
 -2087086 25 
 
 2088388 
 
 2089690 
 
 2090991 
 
 2092292 
 
 2093593 
 
 2094893 
 
 2096193 
 
 8-2097493 
 
 8-2098792 
 
 8-2100091 
 
 8-2101389 
 
 8-2102687 
 
 8-2103985 
 
 8-2026756 8-2105282 
 
 8-2028076 
 8-2029396 
 8-2030716 
 8-2032035 
 8-2033354 
 8-2034672 
 8-2035990 
 8-2037308 
 8-2038625 
 8-2039942 
 8-2041259 
 
 8-2106579 
 
 8-2107876 
 
 2109171 
 
 2110467 
 
 8-2111762 
 
 8-2113057 
 8-2114351 
 8-2115646 
 8-2116939 
 8-2118233 
 8-21195 26 
 
 Al 
 
ti3&) Deg. 
 
 LOG. & 
 
 INES. 
 
 I Beg. 
 
 
 Tab. 
 
 9. 
 
 T 
 
 5(i' 
 
 57' 
 
 58' 
 
 59' 
 
 d 
 
 1' 
 
 2' 
 
 3' 
 
 l! 
 
 *£ 
 
 8-2118949 
 
 8-2195811 
 
 8-2271335 
 
 8-2345568 
 
 8-2418553 
 
 8-2490332 
 
 8-2560943 
 
 8-2630424 
 
 60 
 
 ] 
 
 8-2120242 
 
 8-2197080 
 
 8-2272583 
 
 8-2346795 
 
 8-2419759 
 
 8-2491518 
 
 8-2562110 
 
 8-2631572 
 
 59 
 
 2 
 
 8-2121533 
 
 8-2198349 
 
 8-2273830 
 
 8-2348021 
 
 8-2420965 
 
 8-2492704 
 
 8-2563277 
 
 8-2632721 
 
 58 
 
 3 
 
 8-2122825 
 
 8-2199618 
 
 8-2275077 
 
 8-2349247 
 
 8-2422170 
 
 8-2493890 
 
 8-2564443 
 
 8-2633869 
 
 57 
 
 4 
 
 8-2124116 
 
 8-2200887 
 
 8-2276324 
 
 8-2350472 
 
 8-2423376 
 
 8-2495075 
 
 8-2565609 
 
 8-2635016 
 
 56 
 
 5 
 
 8-2125407 
 
 8-2202155 
 
 8-2277570 
 
 8-2351697 
 
 8-2424680 
 
 8-2496260 
 
 8-2566775 
 
 8-2636164 
 
 55 
 
 6 
 
 8-2126697 
 
 8-2203423 
 
 8-2278816 
 
 8-235292:> 
 
 8-2425785 
 
 8-2497445 
 
 8-2567941 
 
 8-2637311 
 
 54 
 
 7 
 
 8-2127987 
 
 8-2204690 
 
 8-2280061 
 
 8-2364147 
 
 8-2426989 
 
 8-2498629 
 
 8-2569106 
 
 8-2638458 
 
 53 
 
 8 
 
 8-2129277 
 
 8-2205957 
 
 8-2281306 
 
 8-2355371 
 
 8-2428192 
 
 8-2499813 
 
 8-2570271 
 
 8-2639604 
 
 52 
 
 9 
 
 8-2130566 
 
 8-2207223 
 
 8-2282551 
 
 8-2356594 
 
 8-2429396 
 
 8-2500997 
 
 8-2571436 
 
 8-2640750 
 
 51 
 
 10 
 
 8-2131854 
 
 8-2208490 
 
 8-2283796 
 
 8-2357818 
 
 8-2430599 
 
 8-2502180 
 
 8-2572600 
 
 8-2641896 
 
 50 
 
 11 
 
 8-2133143 
 
 8-2209756 
 
 8-2286040 
 
 8-2359041 
 
 8-2431802 
 
 8-2503363 
 
 8-2573764 
 
 8-2643042 
 
 49 
 
 12 
 
 8-2134431 
 
 8-2211021 
 
 8-2286284 
 
 8-2360264 
 
 8-2433004 
 
 8-2604546 
 
 8-2574928 
 
 8-2644187 
 
 48 
 
 13 
 
 8-2135719 
 
 8-2212286 
 
 8-2287527 
 
 8-2361486 
 
 8-243420€ 
 
 8-2505728 
 
 8-2576091 
 
 8-2645332 
 
 47 
 
 14 
 
 8-2137006 
 
 8-2213551 
 
 8-2288770 
 
 8-2362708 
 
 8-2435408 
 
 8-2506911 
 
 8-2577255 
 
 8-2646477 
 
 46 
 
 15 
 
 8-2138293 
 
 8-2214815 
 
 8-2290013 
 
 8-2363930 
 
 8-2436609 
 
 8-2508092 
 
 8-2578417 
 
 8-2647621 
 
 45 
 
 16 
 
 8-2139579 
 
 8-2216079 
 
 8-2291265 
 
 8-2365151 
 
 8-2437810 
 
 8-2509274 
 
 8-2579580 
 
 8-2648766 
 
 44 
 
 17 
 
 8-2140865 
 
 8-2217343 
 
 8-2292497 
 
 8-2366372 
 
 8-2439011 
 
 8-2510465 
 
 8-2580742 
 
 8-2649909 
 
 43 
 
 18 
 
 8-2142151 
 
 8-2218606 
 
 8-2293739 
 
 8-2367593 
 
 8-2440212 
 
 8-2511636 
 
 8-2581904 
 
 8-2651053 
 
 42 
 
 19 
 
 8-2143436 
 
 8-2219869 
 
 8-2294980 
 
 8-2368813 
 
 8-2441412 
 
 8-2512816 
 
 8-2583065 
 
 8-2652196 
 
 41 
 
 20 
 
 8-2144721 
 
 8-2221132 
 
 8-2296221 
 
 8-2370033 
 
 8-2442611 
 
 8-2513996 
 
 8-2584227 
 
 8-2653339 
 
 40 
 
 21 
 
 8-2146006 
 
 8-2222394 
 
 8-2297461 
 
 8-2371253 
 
 8-2443811 
 
 8-2515176 
 
 8-2585388 
 
 8-2^54482 
 
 39 
 
 22 
 
 8-2147290 
 
 8-2223666 
 
 8-2298701 
 
 8-2372472 
 
 8-2445010 
 
 8-2516356 
 
 8-2586548 
 
 8-2655624 
 
 38 
 
 23 
 
 8-2148574 
 
 8-2224917 
 
 8-2299941 
 
 8-2373691 
 
 8-2446209 
 
 8-2517535 
 
 8-2587709 
 
 8-2656766 
 
 37 
 
 24 
 
 8-2149857 
 
 3-2226178 
 
 8-2301181 
 
 8-2374910 
 
 8-2447407 
 
 8-2518714 
 
 8-2588869 
 
 8-2657908 
 
 36 
 
 25 
 
 3-2151140 
 
 3-2227439 
 
 8-2302420 
 
 8-2376128 
 
 8-2448606 
 
 8-2519893 
 
 8-2590028 
 
 8-2659049 
 
 36 
 
 26 
 
 3-2152423 
 
 3-2228699 
 
 8-2303659 
 
 8-2377346 
 
 8-2449803 
 
 8-2521071 
 
 8-2591188 
 
 8-2660190 
 
 34 
 
 27 
 
 t{-21 53705 
 
 3-2229959 
 
 8-2304897 
 
 8-2378563 
 
 8-2451000 
 
 8-2522249 
 
 8-2592347 
 
 8-2661331 
 
 33 
 
 28 
 
 3-2154987 
 
 3-2231219 
 
 8-2306135 
 
 8-2379781 
 
 8-2452198 
 
 8-2623426 
 
 8-2593505 
 
 8-2662471 
 
 32 
 
 29 
 
 3-2156269 
 
 3-2232478 
 
 8-2307373 
 
 8-2380997 
 
 8-2453394 
 
 8-2524604 
 
 8-2594664 
 
 8-2663612 
 
 31 
 
 30 
 
 3-2157550 
 
 3-22337S7 
 
 8-2308610 
 
 8-2382214 
 
 8-2454591 
 
 8-2525781 
 
 8-2595822 
 
 8-2664751 
 
 30 
 
 31 
 
 3-2158831 
 
 3-2234996 
 
 8-2309847 
 
 8-2383430 
 
 8-2455787 
 
 8-2626957 
 
 8-2596980 
 
 8-2665891 
 
 29 
 
 32 
 
 3-2160111 
 
 8-2236254 
 
 8-2311084 
 
 8-2384646 
 
 8-2456983 
 
 8-2528134 
 
 8-2598137 
 
 8-2667030 
 
 28 
 
 33 
 
 8-2161391 
 
 8-2237512 
 
 8-2312320 
 
 3-2385862 
 
 8-2458178 
 
 8-2529310 
 
 8-2599295 
 
 8-2668169 
 
 27 
 
 34 
 
 8-2162671 
 
 8-2238769 
 
 8-2313556 
 
 8-2387077 
 
 8-2459373 
 
 8-2530485 
 
 8-2C00452 
 
 8-2669308 
 
 26 
 
 35 
 
 3-2163950 
 
 3-2240026 
 
 8-2314792 
 
 8-2388292 
 
 8-2460568 
 
 8-2531661 
 
 8-2601608 
 
 8-2670446 
 
 26 
 
 36 
 
 3-2165229 
 
 3-2241283 
 
 8-2316027 
 
 8-2389606 
 
 8-2461762 
 
 8-2532836 
 
 8-2602764 
 
 8-2671585 
 
 24 
 
 37 
 
 3-2166508 
 
 3-2242539 
 
 8-2317262 
 
 8-2390720 
 
 8-2462957 
 
 8-2534011 
 
 8-2603920 
 
 8-2672722 
 
 23 
 
 38 
 
 3-2167786 
 
 3-2243795 
 
 8-2318496 
 
 8-2391934 
 
 8-2464150 
 
 8-2536185 
 
 8-2605076 
 
 8-2673860 
 
 22 
 
 ^9 
 
 8-2169064 
 
 3-2245051 
 
 8-2319731 
 
 8-2393148 
 
 8-2465344 
 
 8-2536359 
 
 8-2606232 
 
 8-2674997 
 
 21 
 
 40 
 
 3-2170341 
 
 8-2246306 
 
 8-2320965 
 
 8-2394361 
 
 8-2466537 
 
 8-2537533 
 
 8-2607387 
 
 8-2676134 
 
 20 
 
 41 
 
 3-2171618 
 
 3-224756] 
 
 8-2322198 
 
 8-2395574 
 
 8-2467730 
 
 8-2638706 
 
 8-260854] 
 
 8-2677271 
 
 19 
 
 42 
 
 3-2172895 
 
 3-2248815 
 
 8-2323431 
 
 8-2396786 
 
 8-2468922 
 
 8-2639880 
 
 8-2609696 
 
 8-2678407 
 
 18 
 
 43 
 
 8-2174171 
 
 3-2250070 
 
 8-2324664 
 
 8-2397998 
 
 8-2470115 
 
 8-2641052 
 
 8-2610850 
 
 8-2679543 
 
 17 
 
 44 
 
 8-2175447 
 
 3-2251323 
 
 8-2325896 
 
 8-2399210 
 
 8-2471306 
 
 8-2542225 
 
 8-2612004 
 
 8-2680679 
 
 16 
 
 45 
 
 3-2176723 
 
 3-2252577 
 
 8-2327128 
 
 8-2400422 
 
 8-2472498 
 
 8-2543397 
 
 8-2613157 
 
 8-2681814 
 
 15 
 
 46 
 
 8-2177998 
 
 3-2253830 
 
 8-2328360 
 
 8-2401633 
 
 8-2473689 
 
 8-2544569 
 
 8-2614311 
 
 8-2682949 
 
 14 
 
 47 
 
 8-2179273 
 
 3-2255083 
 
 8-2329592 
 
 8-2402844 
 
 8-2474880 
 
 8-2545741 
 
 8-2615463 
 
 8-2684084 
 
 13 
 
 48 
 
 8-2180547 
 
 8-2256335 
 
 8-2330823 
 
 8-2404054 
 
 8-2476071 
 
 8-2546912 
 
 8-2616616; 
 
 8-2686219 
 
 12 
 
 49 
 
 8-2181821 
 
 8-2257587 
 
 8-2332053 
 
 8-2405264 
 
 8-2477261 
 
 8-2548083 
 
 8-2617763 
 
 8-2686353 
 
 11 
 
 50 
 
 8-2183095 
 
 8-2258839 
 
 8-2333284 
 
 8-2406474 
 
 8-2478451 
 
 8-2549254 
 
 8-2618920 
 
 8-2687487 
 
 10 
 
 51 
 
 8-2184368 
 
 8-2260090 
 
 8-2334514 
 
 8-2407683 
 
 8-2479640 
 
 8-2560424 
 
 8-2620072 
 
 8-2688620 
 
 9 
 
 52 
 
 8-2185641 
 
 8-2261341 
 
 8-2335743 
 
 8-2408892 
 
 8-2480829 
 
 8-2551594 
 
 8-2621223 
 8-2622375 
 
 8-2689754 
 
 8 
 
 53 
 
 8-2186913 
 
 8-2262591 
 
 8-2336973 
 
 8-2410101 
 
 8-2482018 
 
 8-2562764 
 
 8-2690887 
 
 7 
 
 54 
 55 
 
 8-2188186 
 8-2189457 
 
 8-2263841 
 8-2265091 
 
 8-2338202 
 8-2339430 
 
 8-2411310 
 8-2412518 
 
 8-2483207 
 8-2484395 
 
 8-2653933 
 8-2555102 
 
 8-2623525 
 
 8-2692020 
 
 6 
 5 
 
 8-2624676 
 
 8-2693152 
 
 56 
 
 8-2190729 
 
 3-2266341 
 
 8-2340659 
 
 8-2413725 
 
 8-2485583 
 
 8-2666271 
 
 8-2625826 
 
 8-2694284 
 
 4 
 
 57 
 
 8-2192000 
 
 8-2267590 
 
 8-2341886 
 
 8-2414933 
 
 8-2486771 
 
 8-2557439 
 
 8-2626976 
 
 8-2695416 
 
 3 
 
 58 
 
 8-2193270 
 
 3-2268839 
 
 8-2343114 
 
 8-2416140 
 
 8-2487958 
 
 8-2558607 
 
 8-2628125 
 
 8-2696548 
 
 2 
 
 69 
 
 8-2194541 
 
 3-2270087 
 
 8-2344341 
 
 8-2417347 
 
 8-2489145 
 
 8-2559775 
 
 8-2629275 
 
 8-26976/9 
 
 I 
 
 60 
 
 8-2195811 
 
 3-2271335 
 
 8-2345568 
 
 3-2418653 
 
 8-2490332 
 
 8-2560943 
 
 8-2630424 
 
 8-2698810 
 
 
 
 8' 
 
 2' 
 
 1' 
 
 0' 
 
 59' 
 
 58' 
 
 57' 
 
 56' 
 
 // 
 
 l.on. r.nsTM'^c 
 
 «n y\t 
 
 QQ 1^/ 
 
Beg. 
 
 LOG. 
 
 TANGENTS. 
 
 1 Deg. 
 
 
 (233) 
 
 II 
 
 60.^ 
 
 .57' 
 
 58' 
 
 59' 
 
 0' 
 
 1' 
 
 2' 
 
 1 ^' 
 
 It 
 
 ~o 
 
 8-2119526 
 
 8-2196408 
 
 8-2271953 
 
 8-2346208 
 
 8-2419215 
 
 8-2491015 
 
 8-2561649 
 
 8-2631153 
 
 60 
 
 1 
 
 8-2120818 
 
 8-219767H 
 
 8-2273201 
 
 8-2347435 
 
 8-2420421 
 
 8-2492202 
 
 3-2562817 
 
 8-2632302 
 
 59 
 
 2 
 
 8-2122n0 
 
 8-2198947 
 
 8-2274449 
 
 8-2348661 
 
 8-2421627 
 
 8-2493388 
 
 8-2563984 
 
 8-2633451 
 
 58 
 
 3 
 
 8-2123402 
 
 8-2200216 
 
 8-2275696 
 
 8-2349887 
 
 8-2422833 
 
 8-2494574 
 
 8-2565151 
 
 8-2634599 
 
 57 
 
 4 
 
 8-2124694 
 
 8-2201485 
 
 8-2276943 
 
 8-2351113 
 
 8-2424038 
 
 8-2495760 
 
 8-2566317 
 
 8-2635747 
 
 56 
 
 5 
 
 8-2125985 
 
 8-2202754 
 
 8-2278190 
 
 8-2352339 
 
 8-2425244 
 
 8-2496946 
 
 8-2567484 
 
 8-2636895 
 
 55 
 
 6 
 
 8-2127275 
 
 8-2204022 
 
 8-2279436 
 
 8-2353564 
 
 8-2426448 
 
 8-2498131 
 
 8-2568650 
 
 8-2638043 
 
 54 
 
 7 
 
 8-2128566 
 
 8-2205289 
 
 8-2280682 
 
 8-2354789 
 
 8-2427653 
 
 8-2499315 
 
 8-2569815 
 
 8-2639190 
 
 53 
 
 8 
 
 8-2129855 
 
 8-2206557 
 
 8-2281927 
 
 8-2356013 
 
 8-2428857 
 
 8-2500500 
 
 8-2570981 
 
 8-2640337 
 
 52 
 
 9 
 
 8-2131145 
 
 8-2207824 
 
 8-2283173 
 
 8-2357237 
 
 8-2430061 
 
 8-2501684 
 
 8^2572146 
 
 8-2641483 
 
 51 
 
 10 
 
 8-2132434 
 
 8-2209090 
 
 8-2284417 
 
 8-2358461 
 
 8-2431264 
 
 8-2502868 
 
 8-2573310 
 
 8-2642630 
 
 50 
 
 11 
 
 8-2133723 
 
 8-2210356 
 
 8-2285662 
 
 8-2359684 
 
 8-2432467 
 
 8-2504051 
 
 8-2574475 
 
 8-2643776 
 
 49 
 
 12 
 
 8-2135011 
 
 8-2211622 
 
 8-2286906 
 
 8-2360908 
 
 8-2433670 
 
 8-2505234 
 
 8-2575639 
 
 8-2644921 
 
 48 
 
 13 
 
 8-2136299 
 
 8-2212888 
 
 8-2288150 
 
 8-2362130 
 
 8-2434872 
 
 8-2506417 
 
 8-2576803 
 
 8-2646067 
 
 47 
 
 14 
 
 8-2137587 
 
 8-2214153 
 
 8-2289393 
 
 8-2363353 
 
 8-2436075 
 
 8-2507600 
 
 8-2577966 
 
 8-2647212 
 
 46 
 
 15 
 
 8-2138874 
 
 8-2215418 
 
 8-2290636 
 
 8-2364575 
 
 8-2437276 
 
 8-2508782 
 
 8-2579129 
 
 8-2648357 
 
 45 
 
 16 
 
 8-2 1401 61 
 
 8-2216682 
 
 8-2291879 
 
 8-2365796 
 
 8-2438478 
 
 8-2509964 
 
 8-2580292 
 
 8-2649501 
 
 44 
 
 17 
 
 8-2141447 
 
 8-2217946 
 
 8-2293121 
 
 8-2367018 
 
 8-2439679 
 
 8-2511145 
 
 8-2581455 
 
 8-2650645 
 
 43 
 
 18 
 
 8-2142733 
 
 8-2219210 
 
 8-2294363 
 
 8-2368239 
 
 8-2440880 
 
 8-2512326 
 
 8-2582617 
 
 3-2651789 
 
 42 
 
 19 
 
 8-2144019 
 
 8-2220473 
 
 8-2295605 
 
 8-2369460 
 
 8-2442080 
 
 8-2513507 
 
 8-2583779 
 
 8-2652933 
 
 41 
 
 20 
 
 8-2145304 
 
 8-2221736 
 
 8-2296846 
 
 8-2370680 
 
 8-2443280 
 
 8-2514688 
 
 8-2584941 
 
 8-2654076 
 
 40 
 
 21 
 
 8-2146589 
 
 8-2222998 
 
 8-2298087 
 
 8-2371900 
 
 8-2444480 
 
 8-2515868 
 
 8-258610? 
 
 8-2655219 
 
 39 
 
 22 
 
 8-2147874 
 
 8.2224260 
 
 8-2299327 
 
 8-2373120 
 
 8-2445680 
 
 8-2517048 
 
 8-2587263 
 
 8-2656362 
 
 38 
 
 23 
 
 8-2149158 
 
 8-2225522 
 
 8-2300568 
 
 8-2374339 
 
 8-2446879 
 
 8-2518227 
 
 8-258842^1 
 
 8-2657504 
 
 37 
 
 24 
 
 8-2150442 
 
 8-2226784 
 
 8-2301807 
 
 8-2375558 
 
 8-2448077 
 
 8-2519407 
 
 8-2589584 
 
 8-2658646 
 
 36 
 
 25 
 
 8-2151725 
 
 8-2228045 
 
 8-2303047 
 
 8-2376776 
 
 8-2449276 
 
 8-2520586 
 
 8-2590744 
 
 8-2659788 
 
 35 
 
 26 
 
 8-2153003 
 
 8-2229305 
 
 8-2304286 
 
 8-2377995 
 
 8-2450474 
 
 8-2521764 
 
 8-2591904 
 
 8-2660929 
 
 34 
 
 27 
 
 8-2154291 
 
 8-2230566 
 
 8-2305525 
 
 8-2379213 
 
 8-2451672 
 
 8-2522943 
 
 8-2593063 
 
 8-2662071 
 
 33 
 
 28 
 
 8-2155573 
 
 8-2231826 
 
 8-2306763 
 
 8-2380430 
 
 8-2452869 
 
 8-2524121 
 
 8-2594223 
 
 8-2663212 
 
 32 
 
 29 
 
 8-2156855 
 
 8-2233085 
 
 8-2308001 
 
 8-2381648 
 
 8-2454066 
 
 8-252529S 
 
 8-2595381 
 
 8-2664352 
 
 31 
 
 30 
 
 8-2158137 
 
 8-2234345 
 
 8-2309239 
 
 8-2382865 
 
 8-2455263 
 
 8-2526476 
 
 8-2596540 
 
 8-2665492 
 
 30 
 
 31 
 
 8-2159418 
 
 8-2235604 
 
 8-2310476 
 
 8-2384081 
 
 8-2456460 
 
 8-2527653 
 
 8-2597698 
 
 8-2666632 
 
 29 
 
 32 
 
 8-2160699 
 
 8-2236862 
 
 8-2311713 
 
 8.2385297 
 
 8-2457656 
 
 8-2528829 
 
 8-2598856 
 
 8-2667772 
 
 28 
 
 33 
 
 8-2161979 
 
 8-2238120 
 
 8-2312950 
 
 8-2386513 
 
 8-2458852 
 
 8-2530006 
 
 8-2600014 
 
 8-2668911 
 
 27 
 
 34 
 
 8-2163259 
 
 8.2239378 
 
 8-2314186 
 
 8-2387729 
 
 8-2460047 
 
 8-2531182 
 
 8-2601171 
 
 8-2670051 
 
 26 
 
 35 
 
 8-2164539 
 
 8-2240635 
 
 8-2315422 
 
 8-2388944 
 
 8-2461242 
 
 8-2532358 
 
 8-2602328 
 
 8-2671189 
 
 25 
 
 36 
 
 8-2165818 
 
 8-2241892 
 
 8-2316658 
 
 8-2390159 
 
 8-2462437 
 
 8-2533533 
 
 8-2603485 
 
 8-2672328 
 
 24 
 
 Z7 
 
 8-2167097 
 
 8-2243149 
 
 8-2317893 
 
 8-2391373 
 
 8-2463632 
 
 8-2534708 
 
 8-2604641 
 
 8-2673466 
 
 23 
 
 38 
 
 8-2168375 
 
 8-2244405 
 
 8-2319128 
 
 8-2392588 
 
 8-2464826 
 
 8-2535883 
 
 8-2605797 
 
 8-2674604 
 
 22 
 
 39 
 
 8-2169653 
 
 8-2245661 
 
 8-2320363 
 
 8-2393802 
 
 8-2466020 
 
 8-2537058 
 
 8-2606953 
 
 8-2675742 
 
 21 
 
 40 
 
 8-2170931 
 
 8-2246917 
 
 8-2321597 
 
 8-2395015 
 
 8-2467213 
 
 8-2538232 
 
 8-2608108 
 
 8-2676879 
 
 20 
 
 41 
 
 8-2172209 
 
 8.2248172 
 
 8-2322831 
 
 8-2396228 
 
 8-2468407 
 
 8-2539406 
 
 8-2609263 
 
 8-2678016 
 
 19 
 
 42 
 
 8-2173486 
 
 8-2249427 
 
 8-2324064 
 
 8-2397441 
 
 8-2469599 
 
 8-2540579 
 
 8-2610418 
 
 8-2679153 
 
 18 
 
 43 
 
 8-2174762 
 
 8-2250682 
 
 8-2325297 
 
 8-2398654 
 
 8-2470792 
 
 8-2541752 
 
 8-2611573 
 
 8-2680289 
 
 17 
 
 44 
 
 8-2176038 
 
 8-2251936 
 
 8-2326530 
 
 8-2399866 
 
 8-2471984 
 
 8-2542925 
 
 8-2612727 
 
 8-2681425 
 
 16 
 
 45 
 
 8-2177314 
 
 8-2253190 
 
 8-2327763 
 
 8-2401078 
 
 8-2473176 
 
 8-2544098 
 
 8-2613881 
 
 8-2682561 
 
 15 
 
 46 
 
 8-2178590 
 
 8.2254443 
 
 8-2328995 
 
 8-2402289 
 
 8-2474368 
 
 8-2545270 
 
 8-2615034 
 
 8-2683696 
 
 14 
 
 47 
 
 8-2179865 
 
 8-2255696 
 
 8-2330227 
 
 8-2403500 
 
 8-2475559 
 
 8-2546442 
 
 8-2616188 
 
 8-2684832 
 
 13 
 
 48 
 
 8-2181140 
 
 8-2256949 
 
 8-2331458 
 
 8-240471 1 
 
 8-2476750 
 
 8-2547614 
 
 8-2617341 
 
 8-2685967 
 
 12 
 
 49 
 
 8-2182414 
 
 8-2258201 
 
 8-2332689 
 
 8-2405922 
 
 8-2477940 
 
 8-2548785 
 
 8-2618493 
 
 8-2687101 
 
 11 
 
 50 
 
 g-2183688 
 
 8-2259453 
 
 8-2333920 
 
 8-2407132 
 
 8-2479131 
 
 8-2549956 
 
 8-2619646 
 
 8-2688236 
 
 10 
 
 51 
 
 8-2184962 
 
 8-22607P5 
 
 8-2335150 
 
 8-2408342 
 
 8-2480321 
 
 8-2551127 
 
 8-2620798 
 
 8-2689370 
 
 9 
 
 62 
 
 8-2186235 
 
 8-2261956 
 
 8-2336380 
 
 8-2409551 
 
 8-2481510 
 
 8-2552297 
 
 8-2621950 
 
 8-2690503 
 
 8 
 
 53 
 
 8-2187508 
 
 8-2263207 
 
 8-2337610 
 
 8-2410760 
 
 8-2482699 
 
 8-2553467 
 
 8-2623101 
 
 8-2691637 
 
 7 
 
 54 
 
 8-2188780 
 
 8-2264457 
 
 8-2338839 
 
 8-2411969 
 
 8-2483888 
 
 8-2554637 
 
 8-2624252 
 
 8-2692770 
 
 6 
 
 55 
 
 8-2190053 
 
 8-2265708 
 
 8-2340068 
 
 8-2413177 
 
 8-2485077 
 
 8-2555806 
 
 8-2625403 
 
 8-2693903 
 
 5 
 
 56 
 
 8-2191324 
 
 8-2266957 
 
 8-2341297 
 
 8-2414386 
 
 8-2486265 
 
 8-2556976 
 
 3-2626554 
 
 8-2695035 
 
 4 
 
 57 
 
 8-2192596 
 
 8-2268207 
 
 B-2342525 
 
 8-2415593 
 
 8-2487453 
 
 8-2558144 
 
 8-2627704 
 
 8-2696168 
 
 3 
 
 58 
 
 8-2193867 
 
 8-2269456 
 
 8-2343753 
 
 8-2416801 
 
 8-2488641 
 
 8-2559313 
 
 8-2628854 
 
 8-2697300 
 
 2 
 
 59 
 
 8-2195137 
 
 8.2270705 
 
 8-2344980 
 
 8-2418008 
 
 8-2489828 
 
 8-256048! 
 
 8-2630004 
 
 8-2698431 
 
 1 
 
 60 
 
 8-2196408 
 
 8-2271953 
 
 8-2346208 
 
 8-2419215 
 
 8-2491015 
 
 8-2561649 
 
 8-2631153 
 
 8-2699563 
 
 
 
 T 
 
 3' 2' 
 
 1' 
 
 0' 
 
 5S)' 
 
 58' 
 
 57' 
 
 bi^^ 
 
 IT 
 
(234) 1 Deg. 
 
 LOG. SINES. 
 
 Tab. 9. 
 
 ^•2698810 
 ?-2699941 
 8-2701071 
 R-270220I 
 8-270333I 
 
 S'27G61S6 
 
 8-2767249 
 
 8-2768362 
 
 8-276947 
 
 8-2770587 
 
 2704461 8-2771700 
 8-2705590 8-2772811 
 
 8-2706719 
 8-2707847 
 8-2708976 
 8-2710104 
 8-2711232 
 8-2712359 
 13 8-2713486 
 
 8-2714613 
 8-2715740 
 8-2716866 
 8-2717992 
 8-2719118 
 
 2720243 
 8-2721368 
 8-2722493 
 8-2723618 
 8-2724742 
 8-2725866 
 8-2726990 
 
 2728113 
 8-2729236 
 8-2730359 
 8-2731481 
 8-2732604 
 
 8-27337-25 
 
 8-2734847 
 
 8-2735968 
 
 8-2737089 
 
 8-2738210 
 
 8-2739331 
 
 2740451 
 
 2741571 
 
 2742690 
 
 2743810 
 
 2744929 
 
 2746048 
 
 •2747166 
 2748284 
 2749402 
 2750520 
 •2751637 
 ■2752754 
 2753871 
 •2754987 
 ■2756103 
 ■2757219 
 ■2768335 
 •2759450 
 2760565 
 2761680 
 2762794 
 •2763909 
 ■2765022 
 •27661 36 
 
 55' 
 
 8-2773923 
 8-2775034 
 8-2776145 
 8-2777256 
 8-2778367 
 8-2779477 
 
 8-2780587 
 8-2781696 
 8-2782806 
 8-2783915 
 8-2785023 
 8-2786132 
 
 8-2787240 
 8-2788348 
 8-2789456 
 8-2790563 
 8-2791670 
 8-2792777 
 8-2793883 
 
 2794989 
 8-2796095 
 8-2797201 
 8-2798306 
 8-279941 
 8-2800516 
 
 -2801621 
 8-2802725 
 8-2803829 
 8-2804933 
 8-2806036 
 8-2807139 
 8-2808242 
 8-2809345 
 8-2810447 
 8-2811549 
 8 2812650 
 8-2813752 
 8-2814853 
 8-2815954 
 8-2817055 
 8-2818155 
 8-2819255 
 8-2820355 
 8-2821454 
 8-2822553 
 8-2823652 
 8-2824751 
 8-2825849 
 8-2826947 
 8-2828045 
 8-2829143 
 8-2830240 
 
 2831337 
 8-2832434 
 
 54' 
 
 6" 
 
 8-2832434 
 8-2833530 
 8-2834626 
 8-2835722 
 8-2836818 
 8-2837913 
 8-2839008 
 8-2840103 
 8-2841197 
 8-2842292 
 8-2843386 
 8-2844479 
 8-2845573 
 8-2846666 
 8-2847759 
 8-2848851 
 8-2849943 
 8-2851035 
 8-2852127 
 8-2853219 
 8-2854310 
 8-2855401 
 8-2856491 
 8-2857582 
 8-2858672 
 8-2859762 
 8-2860351 
 8-2861941 
 8-2863030 
 8-2864118 
 8-2865207 
 8-2866295 
 8-2867383 
 8-2868471 
 8-2869558 
 8-2870645 
 8-2871732 
 
 8-2872818 
 8-2873905 
 8-2874991 
 8-2876076 
 8-2877162 
 8-2878247 
 8-2879332 
 8-2880417 
 8-2881501 
 8-2882585 
 3-2883669 
 8-2884752 
 8-2885836 
 2886919 
 8-2888002 
 8-2889084 
 8-2890166 
 8-2891248 
 8-2892330 
 8-2893411 
 8-2894492 
 8-2895573 
 8-2896654 
 8- 2897734 
 
 56' 
 
 2897734 
 
 2898814 
 
 2899894 
 
 2900974 
 
 2902053 
 
 2903132 
 
 2904211 
 
 2905289 
 
 2906367 
 
 2907445 
 
 2908523 
 
 2909600 
 
 2910677 
 
 8-2911754 
 
 8-2919831 
 
 8-2913907 
 
 8-2914983 
 
 8-2916059 
 
 8-2917134 
 
 8-2918210 
 
 8-2919285 
 
 8-2920359 
 
 8-2921434 
 
 8-2922508 
 
 8-2923582 
 
 8-2924656 
 8-2925729 
 8-2926802 
 8-2927875 
 8-2928943 
 8-2930020 
 8-2931092 
 8-2932164 
 8-2933235 
 8-2934306 
 8-2935378 
 8-2936448 
 8-2937519 
 8-2938589 
 8-2939659 
 8-2940729 
 8-2941798 
 8-2942867 
 8-2943936 
 8-2946005 
 8-2946073 
 8-2947141 
 8-2948209 
 8-2949277 
 8-2950344 
 8-2951411 
 8-2952478 
 8-2953544 
 8-2954r;il 
 8-2955677 
 8-2956742 
 8-2957808 
 8-2958873 
 8-2959938 
 2961003 
 8- 2962067 
 
 52' 
 
 8' 
 
 •2962067 
 
 ■2963131 
 
 ■2964195 
 
 •2965259 
 
 •2966322 
 
 •2967386 
 
 8-2968448 
 
 8-296951 
 
 8-2970573 
 
 8-2971635 
 
 8-2972697 
 
 8-2973769 
 
 8-2974820 
 
 8-2975881 
 
 8-2976942 
 
 8-2978002 
 
 8-2979063 
 
 8-2980123 
 
 8-2981183 
 
 -2982242 
 
 -2983301 
 
 •2984360 
 
 -2985419 
 
 •2986477 
 
 •2987536 
 
 8-2988594 
 
 8-2989651 
 
 8-2990709 
 
 2991766 
 
 2992823 
 
 8-2993879 
 
 8-2994936 
 
 8-2995992 
 
 8-2997048 
 
 8-2998104 
 
 8-2999159 
 
 8-3000214 
 
 8-3001269 
 
 8-3002324 
 
 8-3003378 
 
 8-3004432 
 
 8-3005486 
 
 8-3006539 
 
 3007593 
 8-3008646 
 8-3009699 
 
 3010761 
 8-3011804 
 8-3012856 
 
 8-3013907 
 
 8-3014959 
 
 8-3016010 
 
 8-3017061 
 
 8-3018112 
 
 8-3019163 
 
 8-3020213 
 
 8-3021263 
 
 8-3022313 
 
 8-3023362 
 
 8^30244 
 
 8- 30254 60 
 
 51' 
 
 9' 
 
 3025460 
 3026509 
 •3027558 
 •3028606 
 ■3029654 
 •3030702 
 ■3031749 
 
 10' 
 
 8-3087941 
 8-3088975 
 8-3090009 
 8^3091042 
 8-3092075 
 8-3093108 
 8-3094140 
 
 8^3032796 8-3095173 
 
 8^3033843 8^3096205 
 
 3034890 8-3097237 
 
 8-3035937 
 8-3036983 
 8^3038029 
 8-3039075 
 8-3040120 
 8-3041165 
 8-3042210 
 8-3043255 
 8-3044299 
 8-3045344 
 8-3046388 
 8-3047431 
 8-3048475 
 8-3049518 
 8-3050561 
 
 8-3098268 
 8-3099299 
 8-3100330 
 8-3101361 
 8-3102392 
 8-3103422 
 8-3104452 
 8-3105482 
 8-3106512 
 8-3107541 
 8-3108570 
 8-3109599 
 8-3110628 
 8-3111656 
 8-3112684 
 
 8-3051604 8-3113712 
 8-3052646 8-3114740 
 8-3053688 8-3115767 
 8-3054730 8-3116794 
 8-305577218-3117821 
 8-3056813j8-31 18848 
 8-3057855 8-3119874 
 8-3058896 8-3120901 
 8-306993618-3121927 
 8-3060977|8-3 122952 
 8-3062017J8-3123978 
 8-3063067 8-3125003 
 8-3064097 8-3126028 
 8-3065136 8-3127063 
 8-3066175 8-3128077 
 
 067214 
 8-3068253 
 8-3069291 
 
 8-3129101 
 8-3130126 
 8-3131149 
 
 8-3070330 8-3132173 
 8-307l368|8-3133196 
 8-3072405:8-3134219 
 8-3073443J8-3 1^5242 
 8-3074480 8-3136264 
 8-3075517 8-3137287 
 
 8-3076554 
 8-3077590 
 8-3078626 
 8-3079662 
 8-3080698 
 8-3081734 
 8-3082769 
 8-3083804 
 8-3084839 
 8-3085873 
 8-3086907 
 8- 3087941 
 
 50' 
 
 8-3138309 
 8-3139331 
 8-3140352 
 8-3141374 
 8-3142395 
 8-3143416 
 8-3144436 
 8-3145457 
 8-3146477 
 8-3147497 
 8-3148516 
 8-3149536 
 
 49' 
 
 11' 
 
 8-3149536 
 8-3150655 
 8-3151574 
 8-3152593 
 8-315361 1 
 8-3164630 
 8-3155648 
 8-3166665 
 8-3157683 
 8-3158700 
 8-3159717 
 8-3160734 
 8-3161751 
 
 8-3162767 
 8-3163783 
 8-3164799 
 8-3165816 
 8-3166830 
 8-3167846 
 8-3168860 
 3169876 
 3170889 
 8-3171903 
 8-3172917 
 8-3173931 
 8-3174945 
 8-3176958 
 8-3176971 
 8-3177984 
 8-3178996 
 8-3180008 
 8-3181021 
 8-3182032 
 8-3183044 
 8-3184055 
 8-3185067 
 8-3186077 
 8-3187088 
 3188098 
 3189109 
 8-3190119 
 8-3191128 
 3192138 
 8-3193147 
 8-3194166 
 8-3195165 
 8-3196173 
 8-3197182 
 8-3198190 
 8-3199198 
 8-3200206 
 8-3201213 
 8-3202220 
 8-3203227 
 3204233 
 8-3206240 
 8-3206246 
 8^3207252 
 •3208258 
 8-3209263 
 8-3210269 
 
 48' 
 oo T^, 
 
1 Deg. 
 
 LOG. TANOENTS, 
 
 (^35) 
 
 2 
 3 
 4 
 6 
 6 
 7 
 8 
 9 
 10 
 11 
 12 
 13 
 14 
 15 
 16 
 17 
 18 
 19 
 20 
 21 
 22 
 23 
 24 
 25 
 26 
 27 
 28 
 29 
 30 
 31 
 32 
 33 
 34 
 35 
 36 
 37 
 38 
 39 
 40 
 41 
 42 
 
 43 
 44 
 45 
 46 
 47 
 48 
 49 
 50 
 61 
 52 
 53 
 54 
 
 55 
 56 
 57 
 58 
 59 
 60 
 // 
 
 8-2699563 
 8-2700694 
 8-2701825 
 8-2702955 
 8-2704085 
 8-2705215 
 2706345 
 8-2707474 
 8-2708603 
 8-2709732 
 8-2710860 
 8-2711989 
 8-2713116 
 8-2714244 
 8 2715371 
 8-2716498 
 8-2717625 
 8-2718751 
 8-2719877 
 
 8-2721003 
 
 8-2722129 
 
 8-2723254 
 
 8-2724379 
 
 8-2725504 
 
 8-2726628 
 
 -2727762 
 
 -2728876 
 
 •2729999 
 
 •2731122 
 
 •2732245 
 
 •2733368 
 
 •2734490 
 
 •2735612 
 
 •2736734 
 
 •2737856 
 
 -2738977 
 
 -2740098 
 
 8-2741218 
 
 8-2742338 
 
 8-2743458 
 
 8-2744578 
 
 8^2746698 
 
 8^27468 17 
 
 8-2747936 
 
 8-2749054 
 
 8-2750173 
 
 8-2751291 
 
 8-2752408 
 
 8-2753526 
 
 8-2754643 
 
 8-2755760 
 
 8-2756876 
 
 8-2757992 
 
 8-2759108 
 
 8-2760224 
 
 8-2761340 
 
 8-2762455 
 
 8-2763570 
 
 8-27669] 2 
 
 2768026 
 
 8-2769139 
 
 8-2770253 
 
 8-2771365 
 
 8-2772478 
 
 8-2773590 
 
 8-2774702 
 
 2775814 
 
 2776925 
 
 8-2778036 
 
 8-2779147 
 
 8-2780258 
 
 8-2781368 
 8-2782478 
 8-2783588 
 8-2784697 
 8^2785806 
 8-2786915 
 
 8-2788024 
 
 8-2789132 
 
 8^2790240 
 
 8^2791348 
 
 8^2792455 
 
 8-2793563 
 
 •2794670 
 
 ■2795776 
 
 ■2796882 
 
 ■2797988 
 
 •2799094 
 
 ■2800200 
 
 ■2801305 
 
 ■2802410 
 
 2803515 
 
 ■2804619 
 
 •2805723 
 
 •2806827 
 
 8-2807930 
 8-2809034 
 8-2810136 
 8-2811239 
 8-2812342 
 8-2813444 
 8-2814545 
 8-2815647 
 8-2816748 
 8-2817849 
 8-2818950 
 8-2820051 
 8-2821151 
 8-2822251 
 8-2823350 
 8-2824450 
 8-2825549 
 8-2826647 
 8-2827746 
 8-2828844 
 8-2829942 
 
 6' 
 
 7' 
 
 8-2833234 
 8-2834331 
 8-2835428 
 8-2836524 
 8-2837620 
 8-2838716 
 8-2839811 
 8-2840906 
 8-2842001 
 8-2843096 
 8-2844190 
 8-2845284 
 8-2846378 
 
 8-2847471 
 
 8-2848565 
 
 8-2849658 
 
 2850750 
 
 2851843 
 
 8-2852935 
 
 8-2854027 
 
 8-2855118 
 
 8-2856210 
 
 8-2857301 
 
 8-2858392 
 
 8-2859482 
 
 ■2860572 
 
 •2861662 
 
 ■2862752 
 
 ■2863841 
 
 ■2864931 
 
 ■2866019 
 
 ■2867108 
 
 •2868196 
 
 •2869284 
 
 ■2870372 
 
 •2871460 
 
 •2872547 
 
 8-2873634 
 8-2874720 
 8-2875807 
 8-2876893 
 8-2877979 
 8-2879065 
 8-2880150 
 8-2881235 
 8-2882320 
 8-2883404 
 8-2884488 
 8-2885572 
 
 2886656 
 8-2887740 
 8-2888823 
 8-2889906 
 8-2890988 
 8^2892071 
 
 28985591 
 2899640 
 8-2900720 
 8-290 1800| 
 8-2902879 
 8-2903959 
 2905038 
 
 8-2906117 
 
 8-2907195 
 
 8-2908274 
 
 8-2909352 
 
 8-2910430 
 
 2911507 
 
 8-2912584 
 
 8-2913661 
 
 8-2914738 
 
 2915815 
 
 8-2916891 
 
 8-2917967 
 
 8-2919042 
 
 2920118 
 
 8-2921193 
 
 2922268 
 
 8-2923342 
 
 8-2924417 
 
 -2925491 
 
 -2926565 
 
 -2927638 
 
 -2928711 
 
 -2929784 
 
 -2930857 
 
 -2931930 
 
 -2933002 
 
 •2934074 
 
 •2935145 
 
 •2936217 
 
 -2937288 
 
 8-2938359 
 
 8-2939429 
 
 8-2940500 
 
 8-2941570 
 
 8-2942640 
 
 8-2943709 
 
 2944779 
 
 8-2945848 
 
 8-2946916 
 
 2947985 
 
 8-2949053 
 
 8-2950121 
 
 8-2951189 
 
 8-2952256 
 
 8-2953324 
 
 8-2954391 
 
 8-2955457 
 
 8-2956524 
 
 8-2962917 
 8-2963981 
 8-2965046 
 i8-2966110 
 8-2967174 
 8-2968237 
 8-2969300 
 8-2970363 
 8-2971426 
 8-2972489 
 8-2973551 
 8-2974613 
 8-2975675 
 
 8-2976736 
 8-2977797 
 8-2978858 
 8-2979919 
 8^2980980 
 8^2982040 
 8-2983100 
 8-2984159 
 8-2985219 
 8-2986278 
 8-2987337 
 8-2988395 
 
 9' 
 
 3026335 
 3027385 
 3028433 
 ■3029482 
 ■3030531 
 ■3031579 
 ■3032627 
 
 8 
 
 8' 
 
 8 
 
 8 
 
 8 
 
 8 
 
 8-3033674 
 
 8-3034722 
 
 8-3035769 
 
 8-3036816 
 
 8-3037862 
 
 8-3038909 
 
 8-3039955 
 
 8-3041001 
 
 8-3042046 
 
 8-3043092 
 
 8-3044137 
 
 8-3045182 
 
 8-3046226 
 
 8-3047271 
 
 8-3048315 
 
 8-3049359 
 
 8-3050403 
 
 8-3051446 
 
 8-3088842 
 8-3089876 
 8-3090910 
 8-3091944 
 8-3092977 
 8-3094010 
 8-3095043 
 8^3096076 
 8-3097109 
 8-3098141 
 3099173 
 8-3100205 
 8-3101236 
 
 ■3102267 
 
 •3103298 
 
 •3104329 
 
 •3105360 
 
 •3106390 
 
 •3107420 
 
 •3108450 
 
 8-3109479 
 
 8-3110508 
 
 8-3111538 
 
 8-3112566 
 
 8-3113595 
 
 2989454 
 
 2990512 
 
 2991570 
 
 2992627 
 
 2993685 
 
 2994742 
 
 2995799 
 
 2996855 
 
 2997911 
 
 2998967 
 
 ■3000023 
 
 •3001079 
 
 ■3002134 
 
 8-3003189 
 
 8-3004244 
 
 8-3005298 
 
 8-3006353 
 
 3007407 
 
 3008460 
 
 8-3009514 
 
 8-3010567 
 
 8-3011620 
 
 8-3012673 
 
 8-3013725 
 
 8-3014778 
 
 8-3015830 
 
 8-3016881 
 
 8-3017933 
 
 8-3018984 
 
 8-3020035 
 
 •3052489 
 
 ■3053532 
 
 •3054575 
 
 •3055617 
 
 •3056659 
 
 ■3057701 
 
 •3058743 
 
 ■3059784 
 
 •3060825 
 
 •3061866 
 
 •3062907 
 
 •3063947 
 
 8-3064987 
 
 8-3066027 
 
 8-3067067 
 
 8-3068106 
 
 3069145 
 
 3070184 
 
 8^3071223 
 
 8-3072261 
 
 8-3073299 
 
 8-3074337 
 
 8-3075375 
 
 8-3076412 
 
 3077449 
 
 8-3078486 
 
 8-3079523 
 
 3080559 
 
 8-3081596 
 
 3082631 
 
 8-2764684 8-2831040 
 8-2765798 8-2832137 
 8-2766912 8-2833234 
 
 8-2893153 8-2957590 8-3021086 8-3083667 
 8-3084703 
 
 3085738 
 8-3086773 
 8-3087807 
 
 3088842 
 
 8-2894235 8-2958656.8-3022136 
 8-29597218-3023186 
 
 8-2895316 
 8-2896397 
 8-2897478 
 8-2898559 
 
 2960787 8-3024236 
 
 8-2961852,8-3025286 
 
 2962917 8-3026335 
 
 i(y 
 
 3114623 
 
 3116651 
 
 3116679 
 
 3117707 
 
 3118734 
 
 3119761 
 
 3120788 
 
 8-3121815 
 
 8-3122841 
 
 8-3123867 
 
 8-3124893 
 
 8-3125919 
 
 8-3126944 
 
 8-3127969 
 
 8-3128994 
 
 8-3130019 
 
 8-3131043 
 
 8-3132068 
 
 8-3133092 
 
 8-3134115 
 
 8-3135139 
 
 8-3136162 
 
 8-3137185 
 
 8-3138208 
 
 8-3139230 
 
 8-3140253 
 
 8-3141275 
 
 8-3142296 
 
 8-314331 
 
 8-3144339 
 
 8-3145360 
 
 8-3146381 
 
 8-3147402 
 
 8-3148422 
 
 8-3149442 
 
 8-3150462 
 
 11 
 
 8-3150462 
 8-3151482 
 8-3152501 
 8-3153520 
 
 3154539 
 8-3155558 
 B-3 156576 
 8-3157595 
 8-3158613 
 8-3159630 
 8-3160648 
 8-3161665 
 8-3162682 
 8-3163699 
 8-3164715 
 8-3165732 
 8-3166748 
 8-3167764 
 8-3168779 
 8-3169795 
 8-3170810 
 8-3171825 
 8-3172839 
 8-3173854 
 8-3174868 
 8-3175882 
 8-3176895 
 8-3177909 
 8-3 178922 
 8-3179935 
 8'3 180948 
 8-3181960 
 8-3182973 
 8-3183985 
 8-3184997 
 8-3186008 
 8-3187019 
 8-3188031 
 8-3189041 
 8-3190052 
 8-3191062 
 8-3192073 
 8-3193083 
 8-3194092 
 
 3195102 
 8-3196111 
 8-3197120 
 8-3198129 
 8-3199137 
 
 8-3200145 
 8-3201154 
 8-3202161 
 8-320S169 
 8-3204176 
 8-3205183 
 8-3206190 
 8-3207197 
 8-3208203 
 8-3209210 
 8-3210215 
 8-321122 
 
 55' 
 
 54' 
 
 53' 
 
 52' I 51' 
 
 501 
 
 49' 
 
 48' 
 
 3H 2 
 
 LOG. COTANGENTS. 
 
 88 Deff. 
 
_(236-) 
 
 I Deg. 
 
 
 LOG. SINES. 
 
 
 
 Tab. 9. 
 -■ • 
 
 II 
 
 12' 
 
 I a' 
 
 14' 
 
 15' 
 
 16' 
 
 17' 
 
 18' 
 
 19' 
 
 II 
 
 "o 
 
 8v'<2 10209 
 
 8-3270163 
 
 8-3329243 
 
 8-3387529 
 
 8-3445043 
 
 8-3501805 
 
 8-3557835 
 
 8-3613150 
 
 60 
 
 8-3211274 
 
 (^•3212278 
 
 8-3271155 
 
 8-3330221 
 
 8-3388494 
 
 8-3445995 
 
 8-3502745 
 
 8-3558762 
 
 8-3614066 
 
 59 
 
 2 
 
 3 
 
 4 
 
 3-3272146 
 
 8-3331199 
 
 8-3389459 
 
 8-3446947 
 
 8-3503685 
 
 8-3559690 
 
 8-3614982 
 
 58 
 
 8-3213283 
 
 8-3273137 
 
 8-3332176 
 
 8-3390423 
 
 8-3447899 
 
 8-3504624 
 
 8-3560617 
 
 8-3615897 
 
 57 
 
 8-3214287 
 
 8-3274127 
 
 8-3333153 
 
 8-3391387 
 
 8-3448851 
 
 8-3505563 
 
 8-3561544 
 
 8-3616813 
 
 56 
 
 5 
 
 8-3215292 
 
 8-3275118 
 
 8-3334130 
 
 8-3392351 
 
 8-3449802 
 
 8-3506.502 
 
 8-3562471 
 
 8-3617728 
 
 55 
 
 6 
 
 8-3216295 
 
 8-3276108 
 
 8-3335107 
 
 8-3393315 
 
 8-3450753 
 
 8-3507441 
 
 8-3563398 
 
 8-3618643 
 
 54 
 
 7 
 
 8-3217299 
 
 8-3277098 
 
 8-3336084 
 
 8-3394279 
 
 8-3451704 
 
 8-3508379 
 
 8-3564324 
 
 8-3619558 
 
 53 
 
 g 
 
 8-3218303 
 
 8-3278087 
 
 8-3337060 
 
 8-3395242 
 
 8-3452655 
 
 8-3509318 
 
 8-3565251 
 
 8-3620472 
 
 52 
 
 9 
 
 8-3219306" 
 
 8-3279077 
 
 8-3338036 
 
 8-3396205 
 
 8-3453605 
 
 8-3510256 
 
 8-3566177 
 
 8-3621387 
 
 51 
 
 10 
 
 8-3220309 
 
 8-3280066 
 
 8-3339012 
 
 8-3397168 
 
 8-3454555 
 
 8-3511194 
 
 8-3567103 
 
 8-3622301 
 
 50 
 
 11 
 
 8-3221311 
 
 8-3281055 
 
 8-3339988 
 
 8-3398131 
 
 8-3455505 
 
 8-3512132 
 
 8-3568029 
 
 8-3623215 
 
 49 
 
 12 
 
 8-3222314 
 
 8-3282044 
 
 8-3340963 
 
 8-3399093 
 
 8-3456455 
 
 8-3513069 
 
 8-3568954 
 
 8-3624129 
 
 48 
 
 13 
 
 8-3223316 
 
 8-3283032 
 
 8-3341938 
 
 8-3400055 
 
 8-3457405 
 
 8-3514006 
 
 8-3569880 
 
 8-3625042 
 
 47 
 
 14 
 
 8-3224318 
 
 8-3284021 
 
 8-3342913 
 
 8-3401018 
 
 8-3458354 
 
 8-3514944 
 
 8-3570305 
 
 8-3625956 
 
 46 
 
 15 
 
 8-3225320 
 
 8-3285009 
 
 8-3343888 
 
 8-3401979 
 
 8-3459304 
 
 8-3515881 
 
 8-3571730 
 
 8-3626869 
 
 45 
 
 16 
 
 8-3226322 
 
 8-3285997 
 
 8-3344863 
 
 8-3402941 
 
 8-3460253 
 
 8-3516817 
 
 8'3572654 
 
 8-3627782 
 
 44 
 
 17 
 
 8-3227323 
 
 8-3286984 
 
 8-3345837 
 
 8-3403902 
 
 8-3461201 
 
 8-3517754 
 
 8-3573579 
 
 8-3628695 
 
 43 
 
 18 
 
 8-3228324 
 
 8-3287972 
 
 8-3346811 
 
 8-3404864 
 
 8-3462150 
 
 8-3518690 
 
 8-3574503 
 
 8-3629608 
 
 42 
 
 19 
 
 8-3229325 
 
 8-3288959 
 
 8-3347785 
 
 8-3405825 
 
 8-34^3098 
 
 8-3519626 
 
 8'3575427 
 
 8-3630520 
 
 41 
 
 20 
 
 8-3230326 
 
 8-3289946 
 
 8-3348759 
 
 8-3406785 
 
 8-3464047 
 
 8-3520562 
 
 8-3576351 
 
 8'3631433 
 
 40 
 
 21 
 
 8-3231326 
 
 8-8290933 
 
 8-3349732 
 
 8-3407746 
 
 8-3464995 
 
 8-3521498 
 
 8-3577275 
 
 8-3632345 
 
 39 
 
 22 
 
 8-3232326 
 
 8.3291919 
 
 8-3350706 
 
 8-3408706 
 
 8-3465942 
 
 8-3522433 
 
 8-3578199 
 
 8-3633257 
 
 38 
 
 23 
 
 8-3233326 
 
 8-3292906 
 
 8-3351679 
 
 8-3409666 
 
 8-3466890 
 
 8-3523369 
 
 8-3579122 
 
 8-3634169 
 
 37 
 
 24 
 
 8-3234326 
 
 8-3293892 
 
 8-3352651 
 
 8-3410626 
 
 8-3467837 
 
 8-3524304 
 
 8-3580045 
 
 8-3635080 
 
 36 
 
 25 
 
 8-3235325 
 
 8-3294878 
 
 8-3353624 
 
 8-3411586 
 
 8-3468784 
 
 8-3525239 
 
 8-3580968 
 
 8-3635991 
 
 35 
 
 26 
 
 8-3236325 
 
 8-3295863 
 
 8-3354597 
 
 8-3412546 
 
 8-3469731 
 
 8-3526173 
 
 8-3581891 
 
 8-3636903 
 
 34 
 
 27 
 
 8-3237324 
 
 8-3296849 
 
 8-3355569 
 
 8-3413505 
 
 8-3470678 
 
 8-3527108 
 
 8-3582814 
 
 8-3637814 
 
 33 
 
 28 
 
 8-3238322 
 
 8-3297834 
 
 8-3356541 
 
 8-3414464 
 
 8-3471625 
 
 8-3528042 
 
 8-3583736 
 
 8-3638724 
 
 32 
 
 29 
 
 8-3239321 
 
 8-3298819 
 
 8-3357512 
 
 8-3415423 
 
 8-3472571 
 
 8-3528976 
 
 8-3584658 
 
 8-3639635 
 
 31 
 
 30 
 
 8-3240319 
 
 8-3299804 
 
 8-3358484 
 
 8-3416382 
 
 8-3473517 
 
 8-3529910 
 
 8-3585580 
 
 8-3640545 
 
 30 
 
 31 
 
 8-3241317 
 
 8-3300788 
 
 8-3359455 
 
 8-3417340 
 
 8-3474463 
 
 8-3530844 
 
 8-3586502 
 
 8-3641456 
 
 29 
 
 32 
 
 8-3242315 
 
 8-3301773 
 
 8-3360426 
 
 8-3418298 
 
 8-3475409 
 
 8-3531778 
 
 8-3587424 
 
 8-3642366 
 
 28 
 
 33 
 
 8-3243313 
 
 8.3302757 
 
 8-3361397 
 
 8-3419256 
 
 8-3476354 
 
 8-3532711 
 
 8-3588345 
 
 8-3643275 
 
 27 
 
 34 
 
 8-3244310 
 
 8-3303740 
 
 8-3362368 
 
 8-3420214 
 
 8-3477300 
 
 8-3533644 
 
 8-3589266 
 
 8-3644185 
 
 26 
 
 35 
 
 8-3245308 
 
 8-3304724 
 
 8-3363338 
 
 8-3421172 
 
 8-3478245 
 
 8-3534577 
 
 8-3590187 
 
 8-3645095 
 
 25 
 
 36 
 
 8-3246305 
 
 8-3305708 
 
 8-3364309 
 
 8-3422129 
 
 8-3479189 
 
 8-3535510 
 
 8-3591108 
 
 8-3646004 
 
 24 
 
 37 
 
 8-3247301 
 
 8-3306691 
 
 8-3365279 
 
 8-3423086 
 
 8-3480134 
 
 8-3536442 
 
 8-3592029 
 
 8-3646913 
 
 23 
 
 38 
 
 8-3248298 
 
 8-3307674 
 
 8-3366248 
 
 3-3424043 
 
 8-3481079 
 
 8-3537374 
 
 8-3592949 
 
 8-3647822 
 
 22 
 
 39 
 
 8-3249294 
 
 8-3308656 
 
 8-3367218 
 
 8-3425000 
 
 8-3482023 
 
 8-3538306 
 
 8-3593870 
 
 8-3648730 
 
 21 
 
 40 
 
 8-3250290 
 
 8-3309639 
 
 8-3368187 
 
 8-3425957 
 
 8-3482967 
 
 8-3539238 
 
 8-3594790 
 
 8-364963? 
 
 20 
 
 4i 
 
 8-3251286 
 
 8-3310621 
 
 8-3369156 
 
 8-3426913 
 
 8-3483911 
 
 8-3540170 
 
 8-3595709 
 
 8-3650547 
 
 19 
 
 42 
 
 8-3252282 
 
 8-3311603 
 
 8-3370125 
 
 8-3427869 
 
 8-3484854 
 
 8-3541102 
 
 8-3596629 
 
 8-3651455 
 
 18 
 
 43 
 
 8-3253277 
 
 8-3312585 
 
 8-3371094 
 
 8-3428825 
 
 8-3485798 
 
 8-3542033 
 
 8-3597549 
 
 8-3652363 
 
 17 
 
 44 
 
 8-3254272 
 
 8-3313567 
 
 8-3372063 
 
 8-3429781 
 
 8-3486741 
 
 8-3542964 
 
 8-3598468 
 
 8-3653271 
 
 16 
 
 45 
 
 8-3255267 
 
 8-3314548 
 
 8-3373031 
 
 8-3430736 
 
 8-3487684 
 
 8-3543895 
 
 8-3599387 
 
 8-3654179 
 
 15 
 
 46 
 
 8-3256262 
 
 8-3315529 
 
 8-3373999 
 
 8-3431691 
 
 8-3488627 
 
 8-3544826 
 
 8-3600306 
 
 8-3655086 
 
 14 
 
 47 
 
 8-3257256 
 
 8-3316510 
 
 8-3374967 
 
 8-3432646 
 
 8-3489570 
 
 8-3545756 
 
 8-3601225 
 
 8-3655993 
 
 13 
 
 48 
 
 8-3258250 
 
 8-3317491 
 
 8-3375934 
 
 8-343360l|8-34905l2 
 
 8-3546686 
 
 8-3602143 
 
 8-3656900 
 
 12 
 
 Us 
 
 8-3259244 
 
 8-3318472 
 
 8-3376902 
 
 8-3434556 
 
 8-3491454 
 
 8-3547617 
 
 8-3603061 
 
 8-3657807 
 
 11 
 
 50 
 
 8-3260238 
 
 8-3319452 
 
 8-3377869 
 
 8-3435510 
 
 8-3492396 
 
 8-3548546 
 
 8-3603979 
 
 8-3658713 
 
 10 
 
 51 
 
 8-3261232 
 
 8-3320432 
 
 8-3378836 
 
 8-3436465 
 
 8-3493338 
 
 8-3549476 
 
 8-3604897 
 
 8-3659620 
 
 9 
 
 52 
 
 8-3262225 
 
 8-3321412 
 
 8-3379803 
 
 8-3437419 
 
 8-3494280 
 
 8-3550406 
 
 8-3605815 
 
 8-3660526 
 
 8 
 
 53 
 
 8-3263218 
 
 8-3322392 
 
 8-3380769 
 
 8-3438372 8-3495221 
 
 8-3551335 
 
 8-3606733 
 
 8-3661432 
 
 7 
 
 54 
 
 8-326421 1 
 
 8-332337] 
 
 8-3381736 
 
 8-3439326 
 
 8-3496162 
 
 8-3552264 
 
 8-3607650 
 
 8-3662338 
 
 6 
 
 55 
 
 8-3265204 
 
 8-3324350 
 
 8-3382702 
 
 8-3440279 
 
 8-3497103 
 
 8-3553193 
 
 8-3608567 
 
 8-3663244 
 
 5 
 
 6€ 
 
 8-3266196 
 
 8-3325329 
 
 8-3383668 
 
 8-3441233 
 
 8-3498044 
 
 8-3554122 
 
 8-3609484 
 
 8-3664149 
 
 4 
 
 57 
 
 8-3267188 
 
 8-3326308 
 
 8-3384633 
 
 8-3442186 
 
 8-3498985 
 
 8-3555050 
 
 8-3610401 
 
 8-3665054 
 
 3 
 
 58 
 
 8-3268 1 80 
 
 8-3327287 
 
 8-3385599 
 
 8-3443138 
 
 8-3499925 
 
 8-3555979 
 
 8-3611317 
 
 8-3665969 
 
 2 
 
 59 
 
 8-3269172 
 
 8-3328265 
 
 8-3386564 
 
 8-3444091 
 
 8-3500865 
 
 8-3556907 
 
 8-3612234 
 
 8-3666864 
 
 1 
 
 60 
 
 8-3270163 
 
 8-3329243 
 
 8-3387529 
 
 8-3445043 
 
 8-3501805 
 
 8-3557835 
 
 8-3613150 
 
 8-3667769 
 
 
 
 // 
 
 47' 
 
 46' 
 
 45' 44' 1 
 
 43' 
 
 42' 
 
 41' 
 
 40' 
 
 IT 
 
 JLOG. COSINES. 
 
 88 Deg. 
 
I 
 
 Deg. 
 
 
 LOG. TANGENTS. 
 
 
 (937) 
 
 "iF 
 
 12' 
 
 15' 14' 
 
 15' 
 
 16' 17' 
 
 18' 
 
 19' 
 
 II 
 
 "o 
 
 8-3211221 
 
 8-3271143 8-3330249 
 
 8-3388563 
 
 8-3446105 8-3502895 
 
 8-3558953 
 
 8-3614297 
 
 60 
 
 1 
 
 8-3212227 
 
 8-3272134 
 
 8-3331228 
 
 8-3389528 
 
 8-3447057 
 
 8-3503835 
 
 8-3559881 
 
 8-3615213 
 
 59 
 
 2 
 
 8-3213232 
 
 8-3273126 
 
 8-3332206 
 
 8-3390493 
 
 8-3448010 
 
 8-3504775 
 
 8-3560809 
 
 8-3616129 
 
 58 
 
 3 
 
 8-3214237 
 
 8-3274117 
 
 8-3333184 
 
 8-3391458 
 
 8-3448962 
 
 8-3505715 
 
 8-3561737 
 
 8-3617045 
 
 57 
 
 4 
 
 8-3215242 
 
 8-3275108 
 
 8-3334161 
 
 8-3392423 
 
 8-3449914 
 
 8-3506655 
 
 8-3562664 
 
 8-3617961 
 
 56 
 
 5 
 
 8-3216246 
 
 8-3276099 
 
 8-3335139 
 
 8-3393387 
 
 8-3450866 
 
 8-3507594 
 
 8-3563592 
 
 8-3618877 
 
 55 
 
 6 
 
 8-3217251 
 
 8-3277090 
 
 8-3336116 
 
 8-3394351 
 
 8-345*817 
 
 8-3508533 
 
 8-3564519 
 
 8-3619793 
 
 54 
 
 7 
 
 8-3218255 
 
 8-3278080 
 
 8-3337093 
 
 8-3395316 
 
 8-3452769 
 
 8-3509472 
 
 8-3565446 
 
 8-3620708 
 
 53 
 
 8 
 
 8-3219259 
 
 3-3279070 
 
 8-3338070 
 
 8-3396279 
 
 8-3453720 
 
 8-3510411 
 
 8-3566373 
 
 8-3621623 
 
 52 
 
 9 
 
 8-3220262 
 
 8-3280060 
 
 8-3339046 
 
 8-3397243 
 
 8-3454671 
 
 8-3511350 
 
 8-3567299 
 
 8-3^22538 
 
 51 
 
 10 
 
 8-322 126o 
 
 8-3281050 
 
 8-3340023 
 
 8-3398206 
 
 8-3455621 
 
 8-3512288 
 
 8-3568226 
 
 8-3623453 
 
 50 
 
 11 
 
 8-3222269 
 
 8-3282039 
 
 8-3340999 
 
 8-3399169 
 
 8-3456572 
 
 8-3513226 
 
 8-3569152 
 
 8-3624367 
 
 49 
 
 12 
 
 8-3223272 
 
 8-3283028 
 
 8-3341975 
 
 8-3400132 
 
 8-3457522 
 
 8-3514164 
 
 8-3570078 
 
 8-3625281 
 
 48 
 
 13 
 
 8-3224274 
 
 8-3284017 
 
 8-3342950 
 
 8-3401095 
 
 8-3458472 
 
 8-3515102 
 
 8-3571004 
 
 8-3626196 
 
 47 
 
 14 
 
 8-3225277 
 
 8-3285006 
 
 8-3343926 
 
 8-3402058 
 
 8-3459422 
 
 8-3516040 
 
 8-3571929 
 
 8-3627110 
 
 46 
 
 15 
 
 8-3226279 
 
 8-3285995 
 
 8-3344901 
 
 8-3403020 
 
 8-3460372 
 
 8-3516977 
 
 8-3572855 
 
 8-3628023 
 
 45 
 
 16 
 
 8-3227281 
 
 8-3286983 
 
 8-3345876 
 
 8-3403982 
 
 8-3461321 
 
 8-3517914 
 
 8-3573780 
 
 8-3628937 
 
 44 
 
 17 
 
 8-3228283 
 
 8-3287971 
 
 8-3346851 
 
 8-3404944 
 
 8-3462271 
 
 8-3518851 
 
 8-3674705 
 
 8-3629850 
 
 43 
 
 18 
 
 8-3229285 
 
 8-3288959 
 
 8-3347826 
 
 8-3405906 
 
 8-3463220 
 
 8-3519788 
 
 8-3575630 
 
 8-3630763 
 
 42 
 
 19 
 
 8-3230286 
 
 8-3289947 
 
 8-3348800 
 
 8-3406867 
 
 8-3464169 
 
 8-3520725 
 
 8-3576555 
 
 8-3631676 
 
 41 
 
 20 
 
 8-3231287 
 
 8-3290934 
 
 8-3349774 
 
 8-3407828 
 
 8-3465117 
 
 8-3521661 
 
 8-3577479 
 
 8-3632589 
 
 40 
 
 21 
 
 8-3232288 
 
 8-3291921 
 
 8-3350748 
 
 8-3408789 
 
 8-3466066 
 
 8-3522597 
 
 8-3578403 
 
 8-3633502 
 
 39 
 
 22 
 
 8-3233288 
 
 8-3292908 
 
 8-3351722 
 
 8-3409750 
 
 8-3467014 
 
 8-3523533 
 
 8-3579327 
 
 8-3634414 
 
 38 
 
 23 
 
 8-3234289 
 
 8-3293895 
 
 8-3352695 
 
 8-3410711 
 
 8-3467962 
 
 8-3524469 
 
 8-3580251 
 
 8-3635327 
 
 37 
 
 24 
 
 8-3235289 
 
 8-3294882 
 
 8-3353669 
 
 8-3411671 
 
 8-3468910 
 
 8-3525405 
 
 8-S581175 
 
 8-3636239 
 
 36 
 
 25 
 
 8-3236289 
 
 8-3295868 
 
 8-3354642 
 
 8-3412631 
 
 8-3469857 
 
 8-3526340 
 
 8-3582098 
 
 8-3637150 
 
 35 
 
 26' 
 
 8-3237289 
 
 8-3296854 
 
 8-3355615 
 
 8-3413591 
 
 8-3470805 
 
 8-3527275 
 
 8-3583022 
 
 8-3638062 
 
 34 
 
 27 
 
 8-3238288 
 
 8-3297840 
 
 8-3356587 
 
 8-3414551 
 
 8-3471752 
 
 8-3528210 
 
 8-3583945 
 
 8-3638974 
 
 33 
 
 28 
 
 8-3239287 
 
 8-3298826 
 
 8-3357560 
 
 8-3415511 
 
 8-3472699 
 
 8-3529145 
 
 8-3584868 
 
 8-3639885 
 
 32 
 
 29 
 
 8-3240286 
 
 8-3299811 
 
 8-3358532 
 
 8-3416470 
 
 8-3473646 
 
 8-3530080 
 
 8-3585790 
 
 8-3640796 
 
 31 
 
 30 
 
 8-3241285 
 
 8-3300796 
 
 8-3359504 
 
 8-3417429 
 
 8-3474592 
 
 8-3531014 
 
 8-3586713 
 
 8-3641707 
 
 30 
 
 31 
 
 8-3242284 
 
 8-3301781 
 
 8-3360476 
 
 8-3418388 
 
 8-3475539 
 
 8-3531948 
 
 8-3587635 
 
 8-3642617 
 
 29 
 
 32 
 
 8-3243282 
 
 8-3302766 
 
 8-3361447 
 
 8-3419347 
 
 8-3476485 
 
 8-3532882 
 
 8-3588557 
 
 8-3643528 
 
 28 
 
 33 
 
 8-3244280 
 
 8-3303751 
 
 8-3362419 
 
 8-3420305 
 
 8-3477431 
 
 8-3533816 
 
 8-3589479 
 
 8-3644438 
 
 27 i 
 
 i34 8-324S278 
 
 8-3304735 
 
 8-3363390 
 
 8-3421263 
 
 8-3478377 
 
 8-3534750 
 
 8-3590401 !8-3645348 
 
 26 
 
 35JB-324627G 
 
 8-3305719 
 
 8-3364361 
 
 8-3422221 
 
 8-3479322 
 
 8-3535683 
 
 8-3591322 
 
 8-3646258 
 
 25 
 
 36i8-3247273 
 
 8-3306703 
 
 8-3365331 
 
 8-3423179 
 
 8-3480268 
 
 8-3536616 
 
 8-3592243 
 
 8-3647168 
 
 24 
 
 378-3248270 
 
 8-3307687 
 
 8-3366302 
 
 8-3424137 
 
 8-3481213 
 
 8-3537549 
 
 8-3593165 
 
 8-3648078 
 
 23 
 
 38!8-3249267 
 
 8-3308670 
 
 8-3367272 
 
 8-3425094 
 
 8-3482158 
 
 8-3538482 
 
 8-3594086 
 
 8-3648987 
 
 22 
 
 39!8-325026'4 
 
 8-3309653 
 
 8-3368242 
 
 8-3426052 
 
 8-3483103 
 
 8-3539414 
 
 8-359500S 
 
 8-3649896 
 
 21 
 
 40 
 
 8-3251260 
 
 8-3310636 
 
 8-3369212 
 
 8-3427009 
 
 8-3484047 
 
 8-3540347 
 
 8-359^927 
 
 8-3650805 
 
 20 
 
 41 
 
 8-3252257 
 
 8-3311619 
 
 8-3370181 
 
 8-34:^7965 
 
 8-3484991 
 
 8-3541279 
 
 8-3596847 
 
 8-3651714 
 
 19 
 
 42 
 
 8-3253253 
 
 8-3312601 
 
 8-3371151 
 
 8-3428922 
 
 8-3485936 
 
 8-3542211 
 
 8-3597767 
 
 8-3652623 
 
 18 
 
 43 
 
 8-3254249 
 
 8-3313584 
 
 8-3372120 
 
 8-3429878 
 
 8-3486879 
 
 8-3*43143 
 
 8-3598687 
 
 8-3653531 
 
 17 
 
 44 
 
 8-3255244 
 
 8-3314566 
 
 8-3373089 
 
 8-3430835 
 
 8-3487823 
 
 8-3544074 
 
 8-3599607 
 
 8-3654439 
 
 16 
 
 45 
 
 8-3256240 
 
 8-3315548 
 
 8-3374058 
 
 8-3431791 
 
 8-3488767 
 
 8-3545006 
 
 8-3600527 
 
 8-3655347 
 
 15 
 
 46 
 
 8-3257235 
 
 8-3316529 
 
 8-3375026 
 
 8-3432746 
 
 8-3489710 
 
 8-3545937 
 
 8-3601446 
 
 8-3656255 
 
 14 
 
 47 
 
 8-3258230;8-33l75ll 
 
 8-3375994 
 
 8-3433702 
 
 8-3490653 
 
 8-3546868 
 
 8-3602365 
 
 8-3657163 
 
 13 
 
 •48 
 
 8-3259224 
 
 8-3318492 
 
 8-3376963 
 
 8-3434657 
 
 8-3491596 
 
 8-3547799 
 
 8-3603284 
 
 8-3658070 
 
 12 
 
 |49 
 
 8-3260219 
 
 8-3319473 
 
 8-3377930 
 
 8-3435612 
 
 8-3492539 
 
 8-3548729 
 
 8-3604203 
 
 8-3658978 
 
 U 
 
 50 
 
 8-3261213 
 
 8-3320454 
 
 8-3378898 
 
 8-3436567 
 
 8-3493481 
 
 8-3549660 
 
 8-3605121 
 
 8-3659885 
 
 10 
 
 51 
 
 8-3262207 
 
 8-3321434 
 
 8-3379866 
 
 8-3437522 
 
 8-3494423 
 
 8-3550590 
 
 8-3606040 
 
 8-3660792 
 
 9 
 
 52 
 
 8-326320 i 
 
 8-3322415 
 
 8-3380833 
 
 8-3438476 
 
 8-3495365 
 
 8-3551520 
 
 8-3606958 
 
 8-3661698 
 
 8 
 
 53 
 
 8-3264194 
 
 8-3323395 
 
 8-3381800 
 
 8-3439431 
 
 8-3196307 
 
 8-3552450 
 
 8-3607876 
 
 8-3662605 
 
 7 
 
 54 
 
 8-3265188 
 
 8-3324375 
 
 8-3382767 
 
 8-3440385 
 
 8-3497249 
 
 8-3553379 
 
 8-3608794 
 
 8-3663511 
 
 6 
 
 55 
 
 8-3266181 
 
 8-3325354 
 
 8-3383733 
 
 8-3441339 
 
 8-3498191 
 
 8-3554309 
 
 8-3609711 
 
 8-3664417 
 
 5 
 
 156 
 
 8-3267173 
 
 8-3326334 
 
 8-3384700 
 
 8-3442292 
 
 8-3499132 
 
 8-3555238 
 
 8-3610629 
 
 3-3665323 
 
 4 
 
 57 
 
 8-3268166 
 
 8-3327313 
 
 8-3385666 
 
 8-3443246 
 
 8-3500073 
 
 8-3556167 
 
 8-3611546 
 
 8-3666229 
 
 3 
 
 53 
 
 8-3269158 
 
 8-3328292 
 
 8-3386632 
 
 8-3444199 
 
 8-3501014 
 
 8-3557096 
 
 8-3612463 
 
 8-3667135 
 
 2 
 
 59 
 
 8-3270151 
 
 8-3329271 
 
 8-3387597 
 
 8-3445152 
 
 8-3501954 
 
 8-3558024 
 
 8-3613380 
 
 8-3666040 
 
 1 
 
 do 
 
 8-327 1143*8-3330249 
 
 8-3388563 
 
 8-3446105 
 
 8-3502895 
 
 8-3558953 
 
 8-3614297 
 
 8-3668945 
 
 
 
 II 
 
 47' i 46' 
 
 45' 
 
 44' 
 
 43' 
 
 42' 
 
 41' 
 
 40' 
 
 II 
 
 LOG. COTANGENTS. 
 
 88 Deg, 
 
(238) 
 
 1 Deg. 
 
 LOG. SINES. 
 
 Tab. 9. 
 
 20' 
 
 8-3667 7r)J) 
 8-3668674 
 8-366'9578 
 8-36704H2 
 8-3671386' 
 8-3672290 
 8-3673193 
 
 21' 
 
 10 
 11 
 12 
 13 
 14 
 15 
 16 
 17 
 18 
 19 8 
 
 8-3674097 
 8-3675000 
 8-3675903 
 8-3676806 
 8-3677708 
 8-367861 1 
 8-3679513 
 8-3680415 
 8-3681317 
 8-3682219 
 3683120 
 8-3684022 
 
 •3684923 
 ■3685824 
 •3686725 
 •3687625 
 •3688526 
 ■3689426 
 3690326 
 3691226 
 3692125 
 3693025 
 3693924 
 3694823 
 3695722 
 3696621 
 3697519 
 3698418 
 3699316 
 3700214 
 
 60J8 
 17 
 
 H-37217I0 
 8-3722603 
 8-3723496 
 8-3724389 
 8-3725282 
 8-3726174 
 8-3727067 
 -3727959 
 
 8-37288518-3782042 
 8-3729743 8-3782924 
 8-3730635 8-3783804 
 8-37315268-3784685 
 
 22' 
 
 •3774988 
 ■3775870 
 37767b3 
 3777635 
 3778517 
 3779398 
 3780280 
 8-3781161 
 
 8-3732418 
 8-3733309 
 8-3734200 
 8-3735091 
 8-3735981 
 3736872 
 8-3737762 
 8-3738652 
 8-3739542 
 8-3740431 
 3741321 
 8-3742210 
 8-3743099 
 8-3743988 
 8-3744877 
 8-3745766 
 8-3746654 
 3747542 
 8-3748430 
 8-3749318 
 8-3750206 
 8-3751094 
 8-3751981 
 8-3752868 
 8-3753755 
 
 3701111 8-3754642 
 
 3702009 8-3755528 
 
 3702907 
 
 3703804 
 
 3704701 
 
 3705598 
 
 3706494 
 
 3707391 
 
 3708287 
 
 3709183 
 
 3710079 
 
 3710975 
 
 3711870 
 
 3712766 
 
 3713661 
 
 3714556 
 
 3715451 
 
 3716346 
 
 3717240 
 3718134 
 S7 19028 
 3719922 
 3720816 
 3721710 
 
 39' 
 
 8-3756415 
 8-3757301 
 8-3758187 
 8-3759073 
 8-3759959 
 8-3760844 
 8-3761729 
 8-3762615 
 8-3763500 
 8-3764384 
 8-3765269 
 8-3766163 
 8-3767038 
 8-3767922 
 8-3768806 
 8-3769689 
 
 8-3770573 
 8-3771456 
 8-3772339 
 8-3773222 
 8-3774105 
 8-3774988 
 
 38' 
 
 8-3785566 
 8-3786446 
 8-3787326 
 3788206 
 8-3789086 
 -3789965 
 -3790845 
 -3791724 
 •3792603 
 •3793482 
 -3794361 
 -3795239 
 -3796117 
 •3796996 
 •3797874 
 -3798751 
 -3799629 
 •3800507 
 •3801384 
 •3802261 
 •3803138 
 -3804016 
 -3804891 
 -3805768 
 •3806644 
 •3807520 
 •3808396 
 •3809271 
 •3810147 
 •3811022 
 ■3811897 
 ■3812772 
 ■3813647 
 •3814522 
 ■3815396 
 ■3816271 
 3817145 
 3818019 
 ■3818892 
 •3819766 
 ■3820639 
 ■3821513 
 ■3822386 
 •3823258 
 •3824131 
 ■3825004 
 •3825876 
 •3826748 
 •3827620 
 
 23' 
 
 37' 
 
 •3827620 
 •3828492 
 •3829364 
 •3830235 
 ■3831106 
 ■3831978 
 •3i^2848 
 
 ■3833719 
 ■3834590 
 3835460 
 3836330 
 3837201 
 3838070 
 
 24' 
 
 8-3838940 
 
 8-3839810 
 
 8-3840679 
 
 8-3841548 
 
 8-3842417 
 
 8-3843286 
 
 8-3844155 
 
 8-3845023 
 
 8-3845892 
 
 8-3846760 
 
 8-3847628 
 
 8-3848496 
 
 8-3849363 
 
 3850231 
 
 8-3851098 
 
 8-3851965 
 
 8-3852832 
 
 8-3853699 
 
 8-3854565 
 
 8-3855432 
 
 8-3856298 
 
 8-3857164 
 
 8-3858030 
 
 8-3858896 
 
 •3859761 
 
 •3860627 
 
 •3861492 
 
 •3862357 
 
 •3863222 
 
 •3864087 
 
 •3864951 
 
 •3865816 
 
 •3866680 
 
 ■3867544 
 
 ■3868408 
 
 ■3869271 
 
 8-3870135 
 
 8-3870998 
 
 8-3871861 
 
 S-SS72'724 
 
 8-3873587 
 
 8-3874460 
 
 8-3876312 
 
 8-3876174 
 
 8-3877037 
 
 8-3877898 
 
 8-3878760 
 
 8-3879622 
 
 8-387962:. 
 8-3880483 
 8-3881345 
 8-3882206 
 8-3883067 
 8-3883927 
 8-3884788 
 8-3885648 
 8-3886509 
 8-3887369 
 8-3888229 
 8-3889088 
 8-3889948 
 
 8-3«90807 
 8-3891666 
 8-3892526 
 8-3893384 
 3894243 
 8-3895102 
 
 8-3895960 
 
 8-3896818 
 
 8-3897676 
 
 3898534 
 
 8-3899392 
 
 3900249 
 
 8-3901107 
 
 8-3901964 
 
 8-3902821 
 
 8-3903678 
 
 8-3904534 
 
 8-3905391 
 
 3906247 
 
 8-3907103 
 
 8-3907959 
 
 8-3908815 
 
 8-3909671 
 
 8-3910526 
 
 -3911382 
 
 -3912237 
 
 -3913092 
 
 -3913947 
 
 -3914801 
 
 -3916656 
 
 -3916610 
 
 -3917364 
 
 •3918218 
 
 -3919072 
 
 •3919926 
 
 •3920779 
 
 8-3921633 
 
 8-3922486 
 
 8-3923339 
 
 8-3924191 
 
 8-3925044 
 
 8-3925897 
 
 8-3926749 
 
 8-3927601 
 
 8-3928453 
 
 8-3929305 
 
 8-3930166 
 
 8-3931008 
 
 36' 
 
 35' 
 
 25' 
 
 •3931008 
 
 •3931859 
 
 •3932710 
 
 -3933561 
 
 -3934412 
 
 -3935263 
 
 8-3936113 
 
 8-3936964 
 
 8-3937814 
 
 8-3938664 
 
 8-39395 13 
 
 3940363 
 
 8-3941213 
 
 8-3942062 
 
 3942911 
 
 3943760 
 
 8-3944609 
 
 8-3945457 
 
 8-3946306 
 
 8-3947154 
 
 8-3948002 
 
 8-3948850 
 
 8^3949698 
 
 8^3950546 
 
 8-3961393 
 
 -3952240 
 
 -3953088 
 
 •3953935 
 
 •395478 
 
 -3955628 
 
 •3956476 
 
 8-3957321 
 
 8-3958167 
 
 8-3959013 
 
 8-3959859 
 
 8-3960705 
 
 8-3961550 
 
 8-3962395 
 8-3963241 
 8-3964086 
 8-3964930 
 8-3966775 
 8^3966620 
 8^3967464 
 8^3968308 
 8^3969152 
 8-3969996 
 8-3970840 
 8-3971683 
 8-3972627 
 8-3973370 
 8-3974213 
 8-3976056 
 8-3975898 
 8-3976741 
 8-3977583 
 8-3978426 
 8-3979268 
 8-3980109 
 8-3980961 
 8-3981793 
 
 26' 
 
 -3981793 8 
 -3982634 8' 
 
 27' 
 
 34' 
 
 4031990 
 4032822 
 84033653 
 8-4034486 
 8-4035316 
 8-4036147 
 8-4036978 
 8-4037809 
 8-4038639 
 8-4039470 
 (-4040300 
 8-4041130 
 8-4041960 
 8-4042790 
 8-4043620 
 8-4044449 
 8-4045279 
 8-4046108 
 8-4046937 
 8-4047766 
 8-4048594 
 8-4049423 
 8-4050251 
 8-4051080 
 4061908 
 4052736 
 8-4053563 
 8-4054391 
 8-4055218 
 8-4056046 
 8-4056873 
 8-4007801 8-4067700 
 8-4008637 8-4058527 
 
 3983475 
 3984316 
 3985157 
 3985998 
 3986839 
 8-3987679 
 8-3988519 
 8-3989359 
 8-3990199 
 8-3991039 
 8-3991879 
 8-3992718 
 8-3993557 
 8-3994397 
 8-3995236 
 8-3996074 
 8-3996913 
 8-3997761 
 8-3998590 
 8-3999428 
 8-4000266 
 §•4001104 
 8-400194 
 
 8-4002779 
 8-4003616 
 8-4004453 
 4005290 
 8-4006127 
 8-4006964 
 
 8-4009473 
 8-4010309 
 8-4011145 
 4011981 
 8-4012816 
 8-4013652 
 8-4014487 
 8-4015322 
 8-4016167 
 8-4016992 
 8-4017826 
 8-4018661 
 8-4019495 
 8-4020329 
 8-4021163 
 8-4021997 
 8-4022831 
 8-4023664 
 8-4024497 
 8-4025331 
 8-4026164 
 8-4026996 
 8-4027829 
 8-4028662 
 8-4029494 
 8-4030326 
 8-4031158 
 8-4031990 
 
 8-4059353 
 8-4060180 
 8-4061006 
 8-4061832 
 8-4062658 
 8-4063484 
 8-4064310 
 8-4065136 
 8-4065961 
 4066786 
 8-4067611 
 8-4068436 
 8-4069261 
 8-4070086 
 8-4070910 
 8-4071734 
 8-4072658 
 8-4073382 
 8-4074206 
 8-4075030 
 8-4076853 
 8-4076677 
 8-4077500 
 8-4078323 
 8-4079146 
 8-4079969 
 8-4080791 
 8-408 16141 
 
 33' 
 
 32' 
 
 // 
 
 LOG. COSINES. 
 
 88 Deg. 
 
1 Deg. 
 
 LOG. TANGENTS. 
 
 (QS9) 
 
 20' 
 
 21' 
 
 22' 
 
 23' 
 
 24' 
 
 25 
 
 26' 
 
 27' 
 
 8-3668945 
 8-3669850 
 8-3670755 
 8-3671660 
 8-3672564 
 8-3673468 
 8-3674372 
 
 8-3675276 
 8-3676180 
 8-3677083 
 8-3677987 
 8-3678890 
 8-3679793 
 8-3680696 
 8-3681598 
 8-3682501 
 8-3683403 
 8-3684305 
 8-3685207 
 
 8-3686108 
 8-3687010 
 8-3687911 
 8-3688812 
 8-3689713 
 8-3690614 
 8-3691514 
 8-3692414 
 8-3693315 
 8-3694215 
 8-3695114 
 8-3696014 
 8-3696913 
 8-3697812 
 8-369871 
 8-3699610 
 8-3700509 
 8-3701407 
 8-3702306 
 8-3703204 
 8-3704102 
 3704999 
 8-3705897 
 8-3706794 
 8-3707692 
 8-3708589 
 8-3709485 
 8-3710382 
 8-3711278 
 8-3712175 
 8-3713071 
 8-3713967 
 8-3714862 
 8-3715758 
 8-3716653 
 8-3717548 
 8-3718443 
 8-3719338 
 8-3720232 
 8-3721127 
 8-3722021 
 8-3722915 
 
 8-3722915 
 8-3723809 
 8-3724703 
 8-3725596 
 8-3726489 
 8-3727383 
 8-3728275 
 8-3729168 
 8-3730061 
 8-3730953 
 8-3731845 
 8-3732737 
 8-3733629 
 8-3734521 
 8-3735412 
 8-3736304 
 8-3737195 
 8-3738086 
 8-3738976 
 8-3739867 
 8-3740757 
 8-3741647 
 8-3742538 
 8-3743427 
 8-3744317 
 8-3745206 
 8-3746096 
 8-3746985 
 8-3747874 
 8-3748762 
 8-3749651 
 8-3750539 
 8-3751428 
 8-3752316 
 8-3753203 
 8-3754091 
 8-3754979 
 8-3755866 
 8-3756753 
 8-3757640 
 8-3758527 
 8-3759413 
 8-3760299 
 
 8-3761186 
 8-3762072 
 8-3762958 
 8-3763843 
 8-3764729 
 8-3765614 
 8-3766499 
 8-3767384 
 8-3768269 
 3769153 
 8-3770038 
 8-3770922 
 8-3771806 
 8-3772690 
 8-3773574 
 8-3774457 
 8-3775340 
 8-3776223 
 
 3776223 
 3777106 
 37779B9 
 3778872 
 3779754 
 3780636 
 3781519 
 
 8-3782400 
 8-3783282 
 8-3784164 
 8-3785045 
 8-3785926 
 8-3786807 
 8-3787688 
 8-3788569 
 8-3789449 
 8-3790329 
 8-3791209 
 8-3792089 
 8-3792969 
 8-3793849 
 8-3794728 
 8-3795607 
 8-3796486 
 8-3797365 
 8-3798244 
 8-3799122 
 8-3800001 
 8-3800879 
 8-3801757 
 8-3802634 
 8-3803512 
 8-3804390 
 8-3805267 
 8-3806144 
 8-3807021 
 8-3807898 
 8-3808774 
 8-3809650 
 8-3810527 
 8-3811403 
 8-3812278 
 8-3813154 
 8-3814030 
 8-3814905 
 8-3815780 
 8-3816655 
 8-3817530 
 8-3818404 
 8-3819279 
 8-3820153 
 8-3821027 
 8-3821901 
 8-3822775 
 8-3823648 
 8-3824522 
 8-3825395 
 8-3826268 
 8-3827141 
 8-3828014 
 8-3828886 
 
 3828886 
 3829758 
 3830631 
 3831503 
 3832374 
 8-3833246 
 8-3834117 
 8-3834989 
 8-38358o0 
 8-3836731 
 8-3837601 
 8-3838472 
 8-3839342 
 8-3840213 
 8-3841083 
 8-3841953 
 8-3842822 
 8-3843692 
 8-3844561 
 8-3845430 
 8-3846299 
 8-3847168 
 8-3848037 
 8-3848905 
 8-3849774 
 8-3850642 
 8-3851510 
 8-3852378 
 8-3853245 
 8-3854113 
 8-3854980 
 
 8-3855847 
 8-3856714 
 8-3857581 
 8-3858448 
 8-3859314 
 8-3860180 
 8-3861046 
 8-3861912 
 8-3862778 
 8-3863643 
 8-3864509 
 8-3865374 
 8-3866239 
 8-3867104 
 8-3867969 
 8-3868833 
 8-3869698 
 8-3870562 
 
 8-3871426 
 3872290 
 8-3873153 
 8-3874017 
 8-3874880 
 8-3875743 
 8-3876606 
 8-3877469 
 8-3878332 
 8-3879194 
 8-3880056 
 8-3880918 
 
 3880918 
 3881780 
 3882642 
 3883504 
 3884365 
 3885227 
 3886088 
 8-3886949 
 8-3887809 
 8-3888670 
 8-3889530 
 8-3890391 
 8-3891251 
 8-3892111 
 8-3892970 
 8-3893830 
 8-3894689 
 8-3895548 
 8-3896408 
 8-3897266 
 8-3898125 
 8-3898984 
 8-3899842 
 8-3900700 
 8-3901558 
 8-3902416 
 8-3903274 
 8-3904131 
 8-3904989 
 8-3905846 
 8-3906703 
 8-3907560 
 8-3908417 
 8-3909273 
 8-3910129 
 8-3910986 
 8-3911842 
 
 8-3912697 
 3913553 
 8-3914409 
 8-3915264 
 8-391611 
 8-3916974 
 8-3917829 
 8-3918684 
 8-3919538 
 8-3920393 
 8-3921247 
 8-3922101 
 
 8-392295M 
 8-3923808 
 8-3924662 
 8-3925515 
 8-3926368 
 8-3927221 
 
 8-3928074 
 8-3928927 
 8-3929779 
 8-3930631 
 8-3931484 
 8-3932336 
 
 8-3932336 
 8-3933187 
 8-3934039 
 8-3934891 
 8-3935742 
 8-3936593 
 8-3937444 
 8-3938295 
 8-3939145 
 8-3939996 
 8-3940846 
 8-3941696 
 8-3942546 
 8-3943396 
 8-3944246 
 8-3945095 
 8-3945945 
 8-3946794 
 8-3947643 
 8-3948492 
 8-3949340 
 8-3950189 
 8-3951037 
 8-3951885 
 8-3952733 
 8-3953581 
 8-3954429 
 8-3955276 
 8-3956124 
 8-3956971 
 8-3957818 
 8-3958665 
 8-3959511 
 8-3960358 
 8-3961204 
 8-3962050 
 8-3962897 
 8-3963742 
 8-3964588 
 8-3965434 
 8-3966279 
 8-3967124 
 S-3967969 
 8-3968814 
 8-3969659 
 8-3970503 
 8-3971348 
 8-3972192 
 8-3973036 
 
 8-3973880 
 3974724 
 8-3975567 
 8-3976411 
 8-3977254 
 8-3978097 
 3-3978940 
 8-3979782 
 8-3980625 
 8-3981467 
 8-3982310 
 8-3983152 
 
 3983162 
 ■3983994 
 3984835 
 •3985677 
 •3986519 
 •3987360 
 •3988201 
 
 3989042 
 3989883 
 8-3990723 
 8-3991564 
 8-3992404 
 8-3993244 
 8-3994084 
 8-3994924 
 8-3995764 
 8-3996603 
 8-3997442 
 8-3998282 
 8-3999121 
 8-3999959 
 8-4000798 
 8-4001637 
 8-4002475 
 8-4003313 
 8-4004151 
 8-4004989 
 8-4005827 
 8-4006664 
 8-4007502 
 8-4008339 
 
 403338 
 
 •4034213 
 
 •4035045 
 
 •4035877 
 
 ■4036709 
 
 •4037541 
 
 •4038372 
 
 8-4039203 
 
 8-4040035 
 
 8-4040866 
 
 4041696 
 
 8-4042527 
 
 8-4043358 
 
 8-4044188 
 8-4045018 
 
 4045848 
 8-4046678 
 8-4047508 
 8-4048337 
 8-4049167 
 8-4049996 
 8-4050825 
 8-4051654 
 8-4052483 
 
 4053311 
 8-4054140 
 8-4054968 
 8-4055796 
 8-4056624 
 8-4057452 
 8-4058280130 
 
 8-4009176 8 
 
 8-4010013 
 
 8-4010850 
 
 8-4011686 
 
 8-4012523 
 
 8-4013359 
 
 8-4014195 
 8-4015031 
 8-4015867 
 8-4016702 
 8-4017538 
 8-4018373 
 
 8-4019208 
 8-4020043 
 8-4020878 
 8-4021713 
 8-4022547 
 8-4023381 
 
 8-4024216 
 8-4025050 
 8-4025884 
 8-4026717 
 8-4027551 
 8-4028384 
 
 8-4029217 
 8-4030050 
 8-4030883 
 8-4031716 
 8-4032549 
 8-4033381 
 
 39' 
 
 38' 
 
 37 
 
 ^1 
 
 36' 
 
 55 
 
 34' 
 
 3.'3' 
 
 oj 
 
 4059107 
 8-405993 
 8-4060762 
 84061689 
 8-4062416 
 8-4063242 
 
 8-4064069 
 8-4064895 
 8-4065722 
 8-4066548 
 8-4067374 
 8-4068199 
 
 8-4069025 
 8-4069850 
 8-4070676 
 8-4071501 
 8-4072326 
 8-4073151 
 8-4073975 
 8-4074800 
 8-4075624 
 8-4076449 
 8-4077273 
 8-4078097 
 8-4078920 
 8-4079744 
 4080567 
 8-4081391 
 8-408^214 
 8-4083037 
 
 32' " 
 
 TOr;. r.OTAMOFMTS. 
 
 SR Deor. 
 
(240) 
 
 I Deg. 
 
 
 LOG. SINES* 
 
 „ 
 
 . 
 
 1 ab. 9s 
 
 II 
 
 2 
 
 28' 
 
 29' 
 
 sof 
 
 31' 
 
 32' 
 
 33' 
 
 34' 
 
 35' 
 
 // ' 
 
 8-4081614 
 
 8-4130676 
 
 8-4179190 
 
 8-4227168 
 
 8-4274621 
 
 8-4321561 
 
 8-4367999 
 
 8-4413944 
 
 60 
 
 8-4082436 
 8-4083258 
 
 8-4131489 
 
 8-4179994 
 
 8-4227963 
 
 8-4275408 
 
 8-4322339 
 
 8-4368768 
 
 8-4414706 
 
 59 
 
 8-4132302 
 
 8-4180798 
 
 8-4228758 
 
 8-4276194 
 
 8-4323117 
 
 8-4369538 
 
 8-4415468 
 
 58 
 
 3 
 
 H-4084030 
 
 8-4133115 
 
 8^4181602 
 
 8-4229553 
 
 8-4276980 
 
 8-4323895 
 
 8-4370307 
 
 8-4416229 
 
 57 
 
 4 
 
 8-4084902 
 
 8-4133927|8-4182405 
 
 8-4230348 
 
 8-4277766 
 
 8-4324672 
 
 8-4371077 
 
 8-4416990 
 
 56 i 
 
 5 
 
 8-4085723 
 
 8-4134740 H-4 183209 
 
 8-4231142 
 
 8-4278552 
 
 8-4325450 
 
 8-4371846 
 
 8-4417751 
 
 55 
 
 6 
 
 8-4086545 
 
 8-4135552 8-4184012 
 
 8-4231937 
 
 8-4279338 
 
 8-4326227 
 
 8-4372615 
 
 P-4418512 
 
 54 
 
 7 
 
 8-4087366 
 
 8-413636418-4184815 
 
 8-4232731 
 
 8-4280124 
 
 8-4327004 
 
 8-4373384 
 
 8-4419273 
 
 53 
 
 8 
 
 8-4088187 
 
 8-4137J768-4185618 
 
 8-4233525 
 
 8-4280909 
 
 8-4327781 
 
 8-4374153 
 
 8-4420034 
 
 52 
 
 9 
 
 >{-4089008 
 
 8-4137988^8-4186421 
 8-4138800i'8-4187223 
 
 8-4234319 
 
 8-4281694 
 
 8-4328558 
 
 8-4374921 
 
 8-4420795 
 
 51 
 
 10 
 
 8-4089829 
 
 8-4235113 
 
 8-4282480 
 
 8-4329335 
 
 8-4375690 
 
 8-4421555 
 
 501 
 
 11 
 
 8-4090650 
 
 8-4139611 
 
 8-4188026 
 
 H-4235907 
 
 8-4283265 
 
 8-4330112 
 
 8-4376458 
 
 8-4422315 
 
 491 
 
 12 
 
 8-4091471 
 
 8-4140422 
 
 8-4188828 
 
 8-4236700 
 
 8-4284050 
 
 8-4330888 
 
 8-4377227 
 
 8-4423076 
 
 48 1' 
 
 13 
 
 8-4092291 
 
 8-4141234 
 
 8-4189630 
 
 8-4237494 
 
 8-4284835 
 
 8-4331665 
 
 8-4377995 
 
 8-4423836 
 
 47 I 
 
 14 
 
 8-4093111 
 
 8-4142045 
 
 8-4190432 
 
 8-4238287 
 
 8-4285619 
 
 8-4332441 
 
 8-4378763 
 
 8-4424596 
 
 4B 
 
 15 
 
 8-4093931 
 
 8-4142856 
 
 8-4191234 
 
 8-4239080 
 
 8-4286404 
 
 8-4333217 
 
 8-4379531 
 
 8-4425355 
 
 45| 
 
 16 
 
 8-4094751 
 
 8-4143666 
 
 8-4192036 
 
 8-4239873 
 
 8-4287188 
 
 8-4333993 
 
 8-4380298 
 
 8-4426115 
 
 441 
 
 17 
 
 8-4095571 
 
 8-4144477 
 
 8-4192838 
 
 8-4240666 
 
 8-4287972 
 
 8-4334769 
 
 8-4381066 
 
 8-4426875 
 
 43 
 
 18 
 
 8-4096391 
 
 8-4145287 
 
 8-4193639 
 
 8-424145P';8-42a8756 
 
 8-4335544 
 
 8-4381833 
 
 8-4427634 
 
 42 
 
 19 
 
 8-4097210 
 
 8-4146098 
 
 8-4194441 
 
 8-4242251 
 
 8-4289540 
 
 8-4336320 
 
 8-4382601 
 
 8-4428393 
 
 41 
 
 20 
 
 8-4098029 
 
 8-4146908 
 
 8-4195242 
 
 8-4243043 
 
 8-4290324 
 
 8-4337095 
 
 8-4383368 
 
 8-4429152 
 
 40 
 
 21 
 
 8-4098849 
 
 8-4147718 
 
 8-4196043 
 
 8-4243836 
 
 8-4291108 
 
 8-4337871 
 
 8-4384135 
 
 8-4429911 
 
 39 
 
 22 
 
 8-4099668 
 
 8-4148528 
 
 8-4196844 
 
 8-4244628 
 
 8-4291891 
 
 8-4338646 
 
 8-4384902 
 
 8-4430670 
 
 38 
 
 23 
 
 8-4100436 
 
 8-4149337 
 
 8-4197644 
 
 8-4245420 
 
 8-4292675 
 
 B-4339421 
 
 8-4385669 
 
 8-4431429 
 
 37 
 
 24 
 
 8-4101305 
 
 8-4150147 
 
 3-4198445 
 
 8-4246211 
 
 8-4293458 
 
 8-4340196 
 
 8-4386435 
 
 8-4432187 
 
 36 
 
 25 
 
 8-4102124|8-4150956 
 
 8-4199245 
 
 8-4247003 
 
 8-4294241 
 
 8-4340970 
 
 8-4387202 
 
 8-4432946 
 
 35 
 
 26 
 
 8-4102942i8-4151765 
 
 8-4200046 
 
 8-4247795 
 
 8-4295024 
 
 8-4341745 
 
 8-4387968 
 
 8-4433704 
 
 34 
 
 27 
 
 8-4103760 
 
 8-4152575 
 
 8-4200846 
 
 8-4248586 
 
 8-4295807 
 
 8-4342519 
 
 8-4388734 
 
 8-4434462 
 
 33 
 
 28 
 
 8-4104578 
 
 8-4153383 
 
 8-4201646 
 
 8-4249377 
 
 8-4296590 
 
 8-4343294 
 
 8-4389501 
 
 8-4435221 
 
 32 
 
 29 
 
 8-4105396 
 
 8-4154192 
 
 8-4202446 
 
 8-4250168 
 
 8-4297372 
 
 8-4344068 
 
 8-4390266 
 
 8-4435978 
 
 31 
 
 30 
 
 8-4106214 
 
 8-4155001 
 
 8-4203245 
 
 8-4250959 
 
 8-4298154 
 
 8-4344842 
 
 8-4391032 
 
 8-4436736' 
 
 30 
 
 31 
 
 8-4107032 
 
 8-4155809 
 
 8-4204045 
 
 8-4251750 
 
 8-4298937 
 
 8-4345616 
 
 8-4391798 
 
 8-4437494 
 
 29 
 
 32 
 
 8-4107849 
 
 8-4156618 
 
 8-4204844 
 
 8-4252541 
 
 8-4299719 
 
 8-4346389 
 
 8-4392564|8-4438251 
 
 28 
 
 33 
 
 8-4108667 
 
 8-4157426 
 
 8-4205644 
 
 8-4253331 
 
 8-4300501 
 
 8-4347163 
 
 8-439332918-4439009 
 
 27 
 
 34 
 
 8-4109484 
 
 8-4158234 
 
 8-4206443 
 
 8-4254122 
 
 8-4301283 
 
 8-4347937 
 
 8-4394094 
 
 8-4439766 
 
 26 
 
 35 
 
 8-4110301 
 
 8-4159042 
 
 8-4207242 
 
 8-4254912 
 
 8-4302064 
 
 8-4348710 
 
 8-4394859 
 
 8-4440523 
 
 25 
 
 36 
 
 8-4111118 
 
 8-4159850 
 
 8-4208040 
 
 8-4255702 
 
 8-4302846 
 
 8-4349483 
 
 8-4395624 
 
 8-4441280 
 
 24 
 
 37 
 
 8-4111934 
 
 8-4160657 
 
 8-4208839 
 
 8-4256492 
 
 8-4303627 
 
 8-4350256 
 
 8-4396389 
 
 8-4442037 
 
 23 
 
 38 
 
 8-4112751 
 
 8-4161465 
 
 8-4209638 
 
 8-4257282 
 
 8-4304409 
 
 8-4351029 
 
 8-4397154 
 
 8-4442794 
 
 22 
 
 39 
 
 8-4113567 
 
 8-4162272 
 
 8-4210436 
 
 8-4258071 
 
 8-4305190 
 
 8-4351802 
 
 8-4397919 
 
 8-4443551 i21 j 
 
 40 
 
 8-4114383 
 
 8-4163079 
 
 8-4211234 
 
 8-4258861 
 
 8-4305971 
 
 8-4352574 
 
 8-4398683 
 
 8-4444307 
 
 20 
 
 41 
 
 8-4115200 
 
 8-4163886 
 
 8-4212032 
 
 8-4259650 
 
 8-4306751 
 
 8-4353347 
 
 8-4399447 
 
 8-4445063 
 
 19 
 
 42 
 
 8-4116015 
 
 8-4164693 
 
 8-4212830 
 
 8-4260439 
 
 8-4307532 
 
 8-4354119 
 
 8-4400212 
 
 8-4445820 
 
 18 
 
 43 
 
 8-4116831 
 
 8-4165499 
 
 8-4213628 
 
 8-4261229 
 
 8-4308313 
 
 8-4354892 
 
 8-4400976 
 
 8-4446576 
 
 17 
 
 44 
 
 8-4117647 
 
 8-4166306 
 
 8-4214426 
 
 8-4262018 
 
 8-4309093 
 
 8-4355664 
 
 8-4401740 
 
 8-4447332 
 
 16 
 
 45 
 
 8-4118462 
 
 8-4167112 
 
 8-4215223 
 
 8-4262806 
 
 8-4309873 
 
 8-4356436 
 
 8-4402503 
 
 8-4448087 
 
 15 
 
 46 
 
 8-4119278 
 
 8-4167919 
 
 8-4216020 
 
 8-4263595 
 
 8-4310654 
 
 8-4357207 
 
 8-4403267 
 
 8-4448843 
 
 14 
 
 47 
 
 8-4120093 
 
 8-4168725 
 
 8-4216818 
 
 8-4264383 
 
 8-4311434 
 
 8-4357979 
 
 8-4404031 
 
 8-4449599 
 
 13 
 
 48 
 
 8-4120908 
 
 8-4169531 
 
 8-4217615 
 
 8-4265172 
 
 8-4312213 
 
 8-4358751 
 
 8-4404794 
 
 8-4450354 
 
 12 
 
 49 
 
 8-4121723 
 
 8-4170336 
 
 8-4218412 
 
 8-4265960 
 
 8-4312993 
 
 8-4359522 
 
 8-4405557 
 
 8-4451109 
 
 11 
 
 50 
 
 8-4122537 
 
 8-4171142 
 
 8-4219208 
 
 8-4266748 
 
 8-4313773 
 
 8-4360293 
 
 8-4406321 
 
 8-4451865 
 
 10 
 
 51 
 
 8-4123352 
 
 8-4171948 
 
 8-4220005 
 
 8-4267536 
 
 8-4314552 
 
 8-4361064 
 
 8-4407083 
 
 8-4452620 
 
 9 
 
 52 
 
 8-4124166 
 
 8-4172753 
 
 8-4220801 
 
 8-4268324 
 
 8-4315332 
 
 8-4361835 
 
 8-4407846 
 
 8-4453375 
 
 8 
 
 53 
 
 8-4124981 
 
 8-417355B 
 
 8-4221598 
 
 8-4269111 8-4316111 
 
 8-4362606 
 
 8-4408609 
 
 8-4454129 
 
 7 
 
 54 
 
 8-4125795 
 
 8-4174363 
 
 8-4222394 
 
 8-4269899 8-4316890 
 
 8-4363377 
 
 8-4409372 
 
 8-4454884 
 
 6 
 
 55 
 
 8-4126609 
 
 8-4175168 
 
 8-4223190 
 
 8-4270686 8-4317^69 
 
 8-4364148 
 
 8-4410134 
 
 8-4455638 
 
 •^ 
 
 56 8-4127422 
 
 8-4175973 
 
 8-4223986 
 
 8-4271474 8-4318447 
 8-4272261 8-4319226 
 
 8-4364918 
 
 8-4410896 
 
 8-4456393 
 
 4 
 
 57 8-4128236 
 
 8-4176777 
 
 8-4224782 
 
 8-4365688 
 
 8-4411059 
 
 8-4457147 
 
 3 
 
 58 
 
 8-4129050 
 
 8-4177582 
 
 8-4225577 
 
 8-4273048 
 
 8-4320004 
 
 8-4366459 
 
 8-4412421 
 
 8-4457901 
 
 2 
 
 59 
 
 8-4129863 
 
 8-4178386 
 
 8-4226373 
 
 8-4273834 
 
 8-4320783 
 
 8-4367229 
 
 8-4413183 
 
 8-4458655 
 
 1 
 
 60 
 
 8-4130676 
 
 8-4179190 
 
 8-4227168 
 
 8-4274621 
 
 8-4321561 
 
 8-4367999 
 
 8-4413944 
 
 8-4459409 
 
 
 
 II 
 
 31' 
 
 30' 
 
 2'J' 
 
 28' 
 
 27' 
 
 26' 
 
 25' 
 
 24' 
 
 II 
 
 LOG. COSINES. 
 
 88 Deij. 
 
1 Deg. 
 
 LOG. TANGENTS. 
 
 (241) 
 
 u 
 
 28' 
 
 29' 
 
 1 30' 
 
 31' 
 
 1 32' 
 
 1 33' 
 
 34' 
 
 1 35' 1" 
 
 ~i 
 
 ) 8-408303/ 
 
 ' 8-4132132 3-418067i 
 
 ) 8-4228690|8-4276176|8-4323 I50l3-4369622|8-441 5603|60 
 
 ] 
 
 8-408385f 
 
 > 8-4132945 8-418148: 
 
 J 8-422948^ 
 
 ) 8-4276963 8-4323929 8-4370393 8-4416365 59 
 
 ■^ 
 
 8-4084681 
 
 » 8-4133759 8-418228^ 
 
 i 8-42302B 
 
 8-4277750 8-4324707 8-4371163 8-4417127 58 
 
 2 
 
 8-408550£ 
 
 8-4134572 8-4183091 
 
 > 8-4231076 
 
 8-4278537 8-4325486 8-4371933 8-4417889 57 
 
 4 
 
 8-4086327 
 
 8-413538. 
 
 )8-418389f 
 
 '8-4231872 
 
 8-427932- 
 
 18-4326264|8-4372703|8-441865l|56 
 
 S 
 
 8-4087149 
 
 8-413619^ 
 
 5 8-418470C 
 
 8-4232667 
 
 8-42801 If 
 
 ) 8-4327041 
 
 >8-437347i 
 
 i 8-4419413 55 
 
 6 
 
 8^4087971 
 
 8-4137011 
 
 8-4185504 
 
 8-4233462 
 
 8-4280897 
 
 8-4327820|8-4374241 
 
 8-4420174 54 
 
 7 
 
 8-4088793 
 
 8-413^82S 
 
 8-4186307 
 
 8-4234257 
 
 3-428168.^ 
 
 8-432859g 
 
 8-4375012 
 
 8-4420936 53 
 
 8 
 
 8-4089615 
 
 8-4138636 
 
 8-4187111 
 
 8-4236051 
 
 8-4282469 
 
 8-432937^ 
 
 8-4376781 
 
 8-4421697 52 
 
 9 
 
 8-4090436 
 
 8-413944fe 
 
 8-4187914 
 
 8-4235846 
 
 8-4283255 
 
 8-4330153 
 
 8-437655C 
 
 8-4422458 51 
 
 10 
 
 8-4091258 
 
 8-4140261 
 
 8-4188717 
 
 8-4236640 
 
 8-4284041 
 
 8-433093C 
 
 8-437732C 
 
 8-4423219 50 
 
 11 
 
 8-4092079 
 
 8-4141073 
 
 8-4189520 
 
 8-4237434 
 
 8-4284826 
 
 8-4331707 
 
 8-4378089 
 
 8-4423980 49 
 
 12 
 
 8-4092900 
 
 8-4141885 
 
 8-4190323 
 
 8-4238229 
 
 8-4285612 
 
 3-4332484 
 
 8-4378857 
 
 8-4424741 48 
 
 13 
 
 8•4093^i^? 
 
 8-4142696 
 
 8-4191126 
 
 8-4239023 
 
 8-4286397 
 
 8-4333261 
 
 8-4379626 
 
 8-4425502 47 
 
 14 
 
 8-4094542 
 
 8-4143508 
 
 8-4191929 
 
 8-4239816 
 
 8-4287182 
 
 8-4334038 
 
 8-4380395 
 
 8-4426262 46 
 
 15 
 
 8-4095362 
 
 8-4144319 
 
 8-4192731 
 
 8-4240610 
 
 8-4287968 
 
 8-4334815 
 
 8-4381163 
 
 8-4427023 45 
 
 16 
 
 8-4096183 
 
 8-4145131 
 
 8-4193533 
 
 8-4241404 
 
 8-4288752 
 
 8-4335591 
 
 8-4381931 
 
 8-4427783 44 
 
 17 
 
 8-4097003 
 
 8-4145942 
 
 8-4194336 
 
 8-4242197 
 
 8-4289537 
 
 8-4336368 
 
 8-4382700 
 
 8-4428543 43 
 
 18 
 
 8-4097823 
 
 8-4146753 
 
 8-4195138 
 
 8-4242990 
 
 8-4290322 
 
 8-4337144 
 
 8-4383468 
 
 8-4429303 42 
 
 19 
 
 8-4098643 
 
 8-4147564 
 
 8-4195940 
 
 8-4243783 
 
 8-4291106 
 
 8-4337920 
 
 8-4384235 
 
 8-4430063 41 
 
 20 
 
 8-4099463 
 
 8-4148374 
 
 8-4196741 
 
 8-4244576 
 
 8-4291891 
 
 8-4338696 
 
 8-4385003 
 
 8-4430822 40 
 
 21 
 
 8-4100283 
 
 8-4149185 
 
 8-4197543 
 
 8-4245369 
 
 8-4292675 
 
 8-4339472 
 
 8-4385771 
 
 8-4431582 39 
 
 22 
 
 8-4101103 
 
 8-4149995 
 
 8-4198344 
 
 8-4246162 
 
 8-4293459 
 
 8-4340248 
 
 8-4386538 
 
 8-443234138 
 
 23 
 
 8-4101922 
 
 8-4150805 
 
 8-4199146 
 
 8-4246954 
 
 8-4294243 
 
 8-4341023 
 
 8-4387306 
 
 8-4433101 37 
 
 24 
 
 8-4102741 
 
 8-4151616 
 
 8-4199947 
 
 8-4247747 
 
 8-4295027 
 
 8-4341799 
 
 8-4388073 
 
 8-4433860 36 
 
 25 
 
 8-4103560 
 
 8-41 52425)8-4200748 
 
 8-4248539 
 
 8-4295811 
 
 8-4342574 
 
 8-4388840 
 
 8-4434619 35 
 
 26 
 
 8-4104379 
 
 8-4153235 
 
 8-4201549 
 
 8-4249331 
 
 8-4296594 
 
 8-4343349 
 
 8-4389607 
 
 8-4435378 34 
 
 27 
 
 8-4105198 
 
 8-4154045 
 
 8-4202349 
 
 8-4250123 
 
 8-4297377 
 
 8-4344124 
 
 8-4390374 
 
 8-4436137 33 
 
 28 
 
 8-4106017 
 
 8-4154854 
 
 8-4203150 
 
 8-4250915 
 
 8-4298161 
 
 8-4344899 
 
 8-4391140 
 
 8-4436895 32 
 
 29 
 
 8-4106835 
 
 8-4155664 
 
 8-4203950 
 
 8-4251706 
 
 8-429e944 
 
 8-4345674 
 
 8-4391907 
 
 8-4437654 31 
 
 30 
 
 8;4107653 
 
 8-4156473 
 
 8-4204750 
 
 8-4252498 8-4299727 
 
 8-4346448 
 
 8-4392673 
 
 8-4438412 30 
 
 31 
 
 8-4108472 
 
 8-4157282 
 
 8-4205550 
 
 8-4253289 8-4300510 
 
 8-4347223 
 
 8-4393440 
 
 8-4439171 29 
 
 32 
 
 8-4109290 
 
 8-4158091 
 
 8-4206350 8-4254080i8-4301292 
 
 8-4347997 
 
 8-4394206 
 
 8-4439929 28 
 
 S3 
 
 8-4110107 
 
 8-4158900 
 
 8-4207150 8-4254872,8-4302075 
 
 8-4348771 
 
 8-4394972 
 
 8-4440687 27 
 
 34 
 
 8-4110925 
 
 8-4159708 
 
 8-4207950 
 
 8-4255662 8-4302857 
 
 8-4349545 
 
 8-4395738 
 
 8-4441444 26 
 
 35|8-41 11743 
 
 8-4160517 
 
 8-4208749 
 
 8-4256453 8-4303639 
 
 8-4350319 
 
 8-4396503 
 
 8-4442202 25 
 
 36 
 
 8-4112560 
 
 8-4161325 
 
 8-4209549 
 
 8-4257244 8-4304422 
 
 8-4351093 
 
 8-4397269 
 
 8-4442960 24 
 
 37 
 
 8-4113377 
 
 8-4162133 
 
 8-4210348 
 
 8-4258034 8-4305204 
 
 8-4351867 
 
 8-4398034 
 
 8-4443717 23 
 
 38 
 
 8-4114194 
 
 8-4162941 
 
 8-4211147 
 
 8-4258825 8-4305985 
 
 8-4352640 
 
 8-4398800 
 
 8-4444475 22 
 
 39 
 
 8-4115011 
 
 8-4163749 
 
 8-4211946 
 
 8-4259615 8-4306767 
 
 8-4353413 
 
 8-4399565 
 
 8-4445232 21 
 
 40 
 
 8-4115828 
 
 8-4164556 
 
 8-4212745 
 
 8-4260405'8-4307549 
 
 8-4354187 
 
 8-4400330 
 
 8-4445989 20 
 
 41 
 
 8-4116645 
 
 8-4165364 
 
 8-4213543 
 
 8-4261 195|8-4308330 
 
 8-4354960 
 
 8-4401095 
 
 8-4446746 19 
 
 42 
 
 8-4117461 
 
 8-4166171 
 
 8-4214342 
 
 8-4261985,8-4309111 
 
 8-4355733 
 
 8-4401860 
 
 8-4447503 18 
 
 43 
 
 8-4118278 
 
 8-4166979 
 
 8-4215140 8-4262774'8-4309892 
 
 8-4356506 
 
 3-4402624 
 
 3-4448259 17 
 
 44 8-41190941 
 
 8-4167786 
 
 8-4215938 8-4263564:8-4310673 
 
 8-4357278 
 
 3-4403389 
 
 3-4449016 16 
 
 45 
 
 8-4119910 
 
 8-4168593 
 
 8-4216736 
 
 8-4264353,8-4311454 
 
 3-4358051 
 
 3-4404153 
 
 3-4449772 15 
 
 46 
 
 8-4120726 
 
 8-4169399 
 
 8-4217534 
 
 8-4265 142'8-43 12235 
 
 3-4358823 
 
 3-4404918 
 
 3-4450529 14 
 
 47 
 
 8-4121541 
 
 8-4170206 
 
 8-4218332 
 
 3-4265932|8-4313016 
 
 3-4359695 
 
 3-4405682 
 
 3-4451285 13 
 
 48 
 
 8-4122357 
 
 8-4171012 
 
 8-4219130 
 
 3-4266720 8-4313796 
 
 3-4360367 
 
 3-4406446 
 
 3-4452041 12 
 
 49 
 
 8-4123172 
 
 8-4171819 
 
 8-4219927 
 
 3-4267509 8-4314576 
 
 3-4361139 
 
 3-4407209 
 
 3-4452797 1 1 
 
 50 
 
 8-4123988 
 
 8-4172625 
 
 8-4220725 
 
 3-4268298 8-4315356 
 
 3-4361911 
 
 3-4407973 
 
 3-4453552 10 
 
 51 
 
 8-4124803 
 
 8-4173431 
 
 8-4221522 
 
 3-42690868-4316136 
 
 3-4362683 
 
 3-4408737 
 
 3-4454308 9 
 
 52 
 
 8-4125618 
 
 8-4174237 
 
 8-4222319 
 
 3-42698751^ 
 
 ?-431 69 16 
 
 3-4363455 
 
 3-4409500 
 
 3-4455063 8 
 
 53 
 
 8-4126432 
 
 8-4175043 
 
 8-4223116 
 
 3-4270663 i 
 
 3-4317696 
 
 3-4364226 
 
 3-4410263 
 
 3-4455819 7 
 
 54 
 
 8-4127247 
 
 8-4175848 
 
 8-4223912 
 
 3-4271451 i 
 
 3-4318476 
 
 3-4364997 
 
 3-4411027! 
 
 3-4456574 6 
 
 55 
 
 8-4128062 
 
 8-4176654 
 
 8-4224709 
 
 3-4272239 i 
 
 3-4319255 
 
 3-4365768 
 
 3-4411790 
 
 3-4457329 5 
 
 56 
 
 8-4128876 
 
 8-4177459 
 
 8-4225505 
 
 3-4273027'{ 
 
 3-4320034 
 
 3-4366540 
 
 3-4412553 
 
 3-4458084 4 
 
 57 
 
 8-4129690 
 
 8-4178264 
 
 8-4226302 
 
 3-4273814 J 
 
 3-4320814 
 
 3-4367310 
 
 3-4413315 
 
 3-4458839 3 
 
 58 
 
 8-4130504 
 
 8-4179069 
 
 8-4227098 
 
 3-4274602 
 
 3-4321593 
 
 3-4368081 
 
 3-4414078 
 
 3-4459594 2 
 
 59 
 
 8-4131318 
 
 8-4179874 
 
 8-4227894 
 
 3-4275389 
 
 3-4322372 
 
 3-4368852 
 
 3-4414841 
 
 3-4460348 1 
 
 60 
 IT 
 
 8-4132132 
 
 8-4180679 
 
 8-4228690 
 
 8-4276176 
 
 3-4323150 
 
 8-4369622 
 
 3-4415603 
 
 3-4461103 
 
 31' 
 
 30' 
 
 29' 
 
 28' 
 
 27' 
 
 26' 
 
 25' 1 24' |"| 
 
 T nn r'nT A MnviMTQ 
 
 ^^ T KK D< 
 
(242) 1 
 
 Deg. 
 
 
 LOG. SINES. 
 
 
 
 Tab. 9 
 
 •. 
 
 (/ 
 
 86 
 
 37' 
 
 88' 
 
 89' 
 
 40' 41' 
 
 42' 
 
 48' 
 
 It 
 
 "o 
 
 8-4439409 
 
 8-4504402 
 
 8-4548934 
 
 8-4593013 
 
 8-4636649 
 
 8-4679850 
 
 8-4722626 
 
 8-4764984 
 
 60 
 
 ] 
 
 8-.146'0l63 
 
 8-4505148 
 
 8-4549672 
 
 8-4593744 
 
 8-4637372 
 
 8-4680567 
 
 8-4723335 
 
 8-4765686 
 
 59 
 
 2 
 
 8-4460916 
 
 8-4505894 
 
 8-4550410 
 
 8-4594474 
 
 8-4638096 
 
 8-4681283 
 
 8-4724044 
 
 8-4766388 
 
 58 
 
 3 
 
 8-4461670 
 
 8-4506640 
 
 8-4551148 
 
 8-4595205 
 
 8-4638819 
 
 8-4681999 
 
 8-4724753 
 
 8-4767091 
 
 57 
 
 4 
 
 8-4462423 
 
 8-4507385 
 
 8-4551886 
 
 8-4595936 
 
 8-4639542 
 
 8-4682715 
 
 8-4725462 
 
 8-4767793 
 
 56 
 
 5 
 
 8-4463176 
 
 8-4508131 
 
 8-4552624 
 
 3-4596666 
 
 8-4640265 
 
 8-4683431 
 
 8-4726171 
 
 8-4768495 
 
 55 
 
 6 
 
 8-4463929 
 
 8-4508876 
 
 8-4553362 
 
 8-4597396 
 
 8-4640988 
 
 8-4684147 
 
 8-4726880 
 
 8-4769197 
 
 54 
 
 7 
 
 8-4464682 
 
 8-4609621 
 
 8-4554099 
 
 8-4598126 
 
 8-4641711 
 
 8-4684862 
 
 8-4727589 
 
 8-4769899 
 
 53 
 
 8 
 
 8-4465435 
 
 8-4510366 
 
 8-4554837 
 
 8-4598856 
 
 8-4642434 
 
 8-4685578 
 
 8-4728297 
 
 8-4770600 
 
 52 
 
 9 
 
 8-4466188 
 
 8-4511111 
 
 8-4555574 
 
 8-4599586 
 
 8-4643156 
 
 8-4686293 
 
 8-4729006 
 
 8-4771302 
 
 51 
 
 10 
 
 8-4466940 
 
 8-4511856 
 
 8-4556311 
 
 8-4600316 
 
 8-4643879 
 
 8-4687009 
 
 8-4729714 
 
 8-4772003 
 
 50 
 
 11 
 
 8-4467693 
 
 8-4512601 
 
 8-4557048 
 
 8-4601046 
 
 8-4644601 
 
 8-4687724 
 
 8-4730422 
 
 8-4772705 
 
 49 
 
 12 
 
 8-4468445 
 
 8-4513345 
 
 8-4557785 
 
 8-4601775 
 
 8-4645323 
 
 8-4688439 
 
 8-4731130 
 
 8-4773406 
 
 48 
 
 13 
 
 8-4469197 
 
 8-4514090 
 
 8-4558522 
 
 8-4602505 
 
 8-4646046 
 
 8-4689154 
 
 8-4731838 
 
 8-4774107 
 
 47 
 
 14 
 
 8-4469949 
 
 8-4514834 
 
 8-4559259 
 
 8-4603234 
 
 8-4646768 
 
 8-4689869 
 
 8-4732546 
 
 8-4774808 
 
 46 
 
 15 
 
 8-4470701 
 
 8-4515578 
 
 8-4559996 
 
 8-4603963 
 
 8-4647489 
 
 8-4690584 
 
 8-4733254 
 
 8-4775509 
 
 45 
 
 16 
 
 8-4471453 
 
 8-4516322 
 
 8-4560732 
 
 8-4604692 
 
 8-4648211 
 
 8-4691298 
 
 8-4733962 
 
 8-4776210 
 
 44 
 
 17 
 
 8-4472205 
 
 8-4517066 
 
 8-4561468 
 
 8-4605421 
 
 8-4648933 
 
 8-4692013 
 
 8-4734669 
 
 8-4776910 
 
 43 
 
 18 
 
 8-4472956 
 
 8-4517810 
 
 8-4562205 
 
 8-4606150 
 
 8-4649654 
 
 8-4692727 
 
 8-4735377 
 
 8-4777611 
 
 42 
 
 19 
 
 8-4473707 
 
 8-4518553 
 
 8-4562941 
 
 8-4606878 
 
 8-4650376 
 
 8-4693441 
 
 8-4736084 
 
 8-4778311 
 
 41 
 
 20 
 
 8-4474459 
 
 8-4519297 
 
 8-4563677 
 
 8-4607607 
 
 8-4651097 
 
 8-4694156 
 
 8-4736791 
 
 8-4779012 
 
 40 
 
 21 
 
 8-4475210 
 
 8-4520040 
 
 8-4564412 
 
 8-4608335 
 
 8-4651818 
 
 8-4694870 
 
 8-4737498 
 
 8-4779712 
 
 39 
 
 22 
 
 8-4475961 
 
 8-4520784 
 
 8-4565148 
 
 8-4609064 
 
 8-4652539 
 
 8-4695583 
 
 8-4738205 
 
 8-4780412 
 
 38 
 
 23 
 
 8-4476742 
 
 8-4521527 
 
 8-4565884 
 
 8-4609792 
 
 8-4653260 
 
 8-4696297 
 
 8-4738912 
 
 8-4781112 
 
 37 
 
 24 
 
 8-4477462 
 
 8-4522270 
 
 8-4566619 
 
 8-4610520 
 
 8-4653981 
 
 8-4697011 
 
 8-4739618 
 
 8-4781812 
 
 36 
 
 25 
 
 8-4478213 
 
 8-4523013 
 
 8-4567354 
 
 8-4611248 
 
 8-4654702 
 
 8-4697725 
 
 8-4740325 
 
 8-4782511 
 
 35 
 
 26 
 
 8-4478963 
 
 8-4523755 
 
 8-4568090 
 
 8-4611976 
 
 8-4655422 
 
 8-4698438 
 
 8-4741032 
 
 8-4783211 
 
 34 
 
 27 
 
 8-4479714 
 
 8-4524498 
 
 8-4568825 
 
 8-4612703 
 
 8-4656143 
 
 8-4699151 
 
 8-4741738 
 
 8-4783911 
 
 33 
 
 28 
 
 8-4480464 
 
 8-4525240 
 
 8-4569560 
 
 8-4613431 
 
 8-4656863 
 
 8-4699865 
 
 8-4742444 
 
 8-4784610 
 
 32 
 
 29 
 
 8-4481214 
 
 8-4525983 
 
 8-4570295 
 
 8-4614158 
 
 8-4657583 
 
 8-4700578 
 
 8-4743150 
 
 8-4785309 
 
 31 
 
 30 
 
 8-4481964 
 
 8-4526725 
 
 8-4571029 
 
 8-4614886 
 
 8-4658303 
 
 8-4701291 
 
 8-4743856 
 
 8-4786009 
 
 30 
 
 31 
 
 8-4482714 
 
 8-4527467 
 
 8-4571764 
 
 8-4615613 
 
 8-4659023 
 
 8-4702003 
 
 8-4744562 
 
 8-4786708 
 
 29 
 
 32 
 
 8-4483463 
 
 8-4528209 
 
 8-4572498 
 
 8-4616340 
 
 8-4659743 
 
 8-4702716 
 
 8-4745268 
 
 8-4787407 
 
 28 
 
 33 
 
 8-4484213 
 
 8-4528951 
 
 8-4573233 
 
 8-4617067 
 
 8-4660463 
 
 8-4703429 
 
 8-4745974 
 
 8-4788105 
 
 27 
 
 34 
 
 8-4484962 
 
 8-4529693 
 
 8-4573967 
 
 8-4617794 
 
 8-4661182 
 
 8-4704141 
 
 8-4746679 
 
 8-4788804 
 
 26 
 
 35 
 
 8-4485712 
 
 8-4530434 
 
 8-4574701 
 
 8-4618520 
 
 8-4661902 
 
 8-4704854 
 
 8-4747385 
 
 8-4789503 
 
 25 
 
 36 
 
 3-4486461 
 
 8-4531176 
 
 8-4575435 
 
 8-4619247 
 
 8-4662621 
 
 8-4705566 
 
 8-4748090 
 
 8-4790201 
 
 24 
 
 37 
 
 8-4487210 
 
 8-4531917 
 
 8-4576169 
 
 8-4619973 
 
 8-4663340 
 
 8-4706278 
 
 8-4748795 
 
 8-4790900 
 
 23 
 
 38 
 
 8-4487959 
 
 8-4532659 
 
 8-4576902 
 
 8-4620700 
 
 8-4664059 
 
 8-4706990 
 
 8-4749500 
 
 8-4791598 
 
 22 
 
 39 
 
 8-4488708 
 
 8-4533400 
 
 8-4577636 
 
 8-4621426 
 
 8-4664778 
 
 8-4707702 
 
 8-4750205 
 
 8-4792296 
 
 21 
 
 40 
 
 8-4489456 
 
 8-4534141 
 
 8-4578369 
 
 8-4622152 
 
 8-4665497 
 
 8-4708414 
 
 8-4750910 
 
 8-4792994 
 
 20 
 
 41 
 
 8-4490205 
 
 8-4534881 
 
 8-4579103 
 
 8-4622878 
 
 8-4666216 
 
 8-4709126 
 
 8-4751615 
 
 8-4793692 
 
 19 
 
 42 
 
 8-4490953 
 
 8-4535622 
 
 8-4579836 
 
 8-4623604 
 
 8-4666935 
 
 8-4709837 
 
 8-4752320 
 
 8-4794390 
 
 18 
 
 43 
 
 8-4491701 
 
 8-4536363 
 
 8-4580569 
 
 8-4624330 
 
 8-4667653 
 
 8-4710549 
 
 8-4753024 
 
 8-4795088 
 
 17 
 
 44 
 
 8-4492450 
 
 8-4537103 
 
 8-4581302 
 
 8-4625055 
 
 8-4668372 
 
 8-4711260 
 
 8-4753729 
 
 8-4795785 
 
 16 
 
 45 
 
 8-4493198 
 
 8-4537844 
 
 8-4582035 
 
 8-4625781 
 
 8-4669090 
 
 8-4711971 
 
 8-4754433 
 
 8-4796483 
 
 15 
 
 46 
 
 8-4493945 
 
 8-4538584 
 
 8-4582768 
 
 8-4626506 
 
 8-4669808 
 
 8-4712682 
 
 8-4755137 
 
 8-4797180 
 
 14 
 
 47 
 
 8-4494693 
 
 8-4539324 
 
 8-4583500 
 
 8-4627231 
 
 8-4670526 
 
 8-4713393 
 
 8-4755841 
 
 8-4797878 
 
 13 
 
 48 
 
 8-4495441 
 
 8-4540064 
 
 8-4584233 
 
 8-4627957 
 
 8-4671244 
 
 8-4714104 
 
 8-4756545 
 
 8-4798575 
 
 12 
 
 49 
 
 8-4496188 
 
 8-4540804 
 
 8-4584965 
 
 8-4628682 
 
 8-4671962 
 
 8-4714815 
 
 8-4757249 
 
 8-4799272 
 
 11 
 
 50 
 
 8-4496936 
 
 8-4541543 
 
 8-4585697 
 
 8-4629406 
 
 8-4672680 
 
 8-4715526 
 
 8-4757953 
 
 8-4799969 
 
 10 
 
 51 
 
 8-4497683 
 
 8-4542283 
 
 8-4586429 
 
 8-4630131 
 
 8-4673397 
 
 8-4716236 
 
 8-4758656 
 
 8-4800666 
 
 9 
 
 52 
 
 8-4498430 
 
 8-4543023 
 
 8-4587161 
 
 8-4630856 
 
 8-4674115 
 
 8-4716947 
 
 8-4759360 
 
 8-4801362 
 
 8 
 
 53 
 
 8-4499177 
 
 8-4543762 
 
 8-4587893 
 
 8-4631580 
 
 8-4674832 
 
 8-4717657 
 
 8-4760063 
 
 8-4802059 
 
 7 
 
 54 
 
 8-4499924 
 
 8-4544501 
 
 8-4588625 
 
 8-4632305 
 
 8-4675549 
 
 8-4718367 
 
 8-4760766 
 
 8-4802755 
 
 6 
 
 55 
 
 8-4500671 
 
 8-4545240 
 
 8-4589357 
 
 8-4633029 
 
 8-4676266 
 
 8-4719077 
 
 8-4761470 
 
 8-4803452 
 
 5 
 
 56 
 
 8-4501417 
 
 8-4545979 
 
 8-4590088 
 
 8-4633753 
 
 8-4676983 
 
 8-4719787 
 
 8-4762173 
 
 8-4804148 
 
 4 
 
 57 
 
 8-4502164 
 
 8-4546718 
 
 8-4590819 
 
 8-4634477 
 
 8-4677700 
 
 8-4720497 
 
 8-4762876 
 
 8-4804844 
 
 3 
 
 58 
 
 8-4502910 8-4547457 
 
 8-4591551 
 
 8-4635201 
 
 8-4678417 
 
 8-4721207 
 
 8-476357818-4805540 
 
 2 
 
 59 
 
 8-4503656 8-4548195 
 
 8-4592282 
 
 8-4635925 
 
 8-4679134 
 
 8-4721916 
 
 8-4764281 
 
 8-4806236 
 
 1 
 
 60 
 n 
 
 8-4504402 8-4548934 
 
 8-4593013 
 
 8-4636649 
 
 8-4679850 
 
 8-4722626 
 
 8-4764984 
 
 8-4806932 
 
 
 
 n 
 
 2S' 22' 1 2\' 
 
 2(y 
 
 19' 
 
 J8' 
 
 17' 
 
 16' 
 
 LOO. COSINES. 
 
 88 Deg. 
 
J Dfeg._ 
 
 
 LOG, TANGENTS. 
 
 
 (243) 
 
 // 
 
 S6' 
 
 37' 
 
 38' 
 
 39' 
 
 40' 
 
 41' 
 
 42' 
 
 43' 
 
 II 
 
 ~0 
 
 8-4461103 
 
 8-4506131 
 
 8-4550699 
 
 8-4594814 
 
 8-4638486 
 
 8-4681725 
 
 8-4724538 
 
 8-4766933 
 
 60 
 
 1 
 
 8-4461857 
 
 8-4506878 
 
 8-4551438 
 
 8-4595545 
 
 8-4639211 
 
 8-4682442 
 
 8-4725248 
 
 8-4767636 
 
 59 
 
 2 
 
 8-446261 1 
 
 8-4507624 
 
 8-4552176 
 
 8-4596277 
 
 8-4639935 
 
 8-4683159 
 
 8-4725957 
 
 8-4768339 
 
 58 
 
 3 
 
 8-4463365 
 
 8-4508371 
 
 8-4552915 
 
 8-4597008 
 
 8-4640659 
 
 8-4683875 
 
 8-4726667 
 
 8-4769042 
 
 57 
 
 4 
 
 8-4464119 
 
 8-4509117 
 
 8-4553654 
 
 8-4597739 
 
 8-4641382 
 
 8-4684592 
 
 8-4727377 
 
 8-4769745 
 
 56 
 
 5 
 
 8-4464873 
 
 8-4509863 
 
 8-4554392 
 
 8-4598470 
 
 8-4642106 
 
 8-4685309 
 
 8-4728086 
 
 8-4770448 
 
 55 
 
 6 
 
 8-4465627 
 
 8-4510609 
 
 8-4555130 
 
 8-4599201 
 
 8-4642830 
 
 8-4686025 
 
 8-4728796 
 
 8-4771150 
 
 54 
 
 7 
 
 8-4466380 
 
 8-4511354 
 
 8-4555868 
 
 8-4599932 
 
 8-4643553 
 
 8-4686741 
 
 8-4729505 
 
 8-4771853 
 
 53 
 
 8 
 
 8-4467133 
 
 8-4512100 
 
 8-4556607 
 
 8-4600662 
 
 8-4644276 
 
 8-4687458 
 
 8-4730214 
 
 8-4772555 
 
 52 
 
 9 
 
 8-4467887 
 
 8-4512846 
 
 8-4557344 8-4601393 
 
 8-4645000 
 
 8-4688174 
 
 8-4730923 
 
 8-4773257 
 
 51 
 
 10 
 
 8-4468640 
 
 8-4513591 
 
 8-4558082 
 
 8-4602123 
 
 8-4645723 
 
 8-4688890 
 
 8-4731632 
 
 8-4773959 
 
 50 
 
 11 
 
 8-4469393 
 
 8-4514336 
 
 8-4558820 
 
 8-4602853 
 
 8-4646446 
 
 8-4689605 
 
 8-4732341 
 
 8-4774661 
 
 49 
 
 12 
 
 8-4470146 
 
 8-4515081 
 
 8-4559558 
 
 8-4603584 
 
 8-4647168 
 
 8-4690321 
 
 8-4733050 
 
 8-4775363 
 
 48 
 
 13 
 
 8-4470898 
 
 8-4515826 
 
 8-4560295 
 
 8-4604314 
 
 8-4647891 
 
 8-4691037 
 
 8-4733758 
 
 8-4776065 
 
 47 
 
 14 
 
 8-4471631 
 
 8-4516571 
 
 8-4561032 
 
 8-4605043 
 
 8-4648614 
 
 8-4691752 
 
 8-4734467 
 
 8-4776766 
 
 46 
 
 15 
 
 8-4472404 
 
 8-4517316 
 
 8-4561769 
 
 8-4605773 
 
 8-4649336 
 
 8-4692468 
 
 8-4735175 
 
 8-4777468 
 
 45 
 
 16 
 
 8-4473156 
 
 8-4518061 
 
 8-4562506 
 
 8-4606503 
 
 8-4650069 
 
 8-4693183 
 
 8-4735884 
 
 8-4778169 
 
 44 
 
 17 
 
 8-4473908 
 
 8-4518805 
 
 8-4563243 
 
 8-4607232 
 
 8-4650781 
 
 8-4693898 
 
 8-4736592 
 
 8-4778871 
 
 43 
 
 18 
 
 8-4474660 
 
 3-4519549 
 
 8-4563980 
 
 8-4607962 
 
 8-4651503 
 
 8-4694613 
 
 8-4737300 
 
 8-4779572 
 
 42 
 
 19 
 
 8-447541 2|8-4520294 
 
 8-4564717 
 
 8-4608691 
 
 8-4652225 
 
 8-4695328 
 
 8-4738008 
 
 8-4780273 
 
 41 
 
 20 
 
 8-4476164 
 
 8-4521038 
 
 8-4565453 
 
 8-4609420 8-4652947 
 
 6-4696043 
 
 8-4738715 
 
 8-4780974 
 
 40 
 
 21 
 
 8-4476916 
 
 8-4521782 
 
 8-4566190 
 
 8-4610149 
 
 8-4653669 
 
 8-4696757 
 
 8-4739423 
 
 8-4781675 
 
 39 
 
 22 
 
 8-4477667 
 
 8-4522526 
 
 8-4566926 
 
 8-4610878 
 
 8-4654390 
 
 8-4697472 
 
 8-4740131 
 
 8-4782375 
 
 38 
 
 23 
 
 8-4478419 
 
 B-4523269 
 
 8-4567662 
 
 8-4611607 
 
 8-4655112 
 
 8-4698186 
 
 8-4740838 
 
 8-4783076 
 
 37 
 
 24 
 
 8-447917^0 
 
 8-4524013 
 
 8-4568398 
 
 8-4612336 
 
 8-4655833 
 
 8-4698900 
 
 8-4741545 
 
 8-4783776 
 
 36 
 
 25 
 
 8-4479921 
 
 ^'4524757 
 
 8-4569134 
 
 8-4613064 
 
 8 4656555 
 
 8-4699615 
 
 8-4742253 
 
 8-4784477 
 
 35 
 
 26 
 
 8-4480672 
 
 8-4525500 
 
 8-4569870 
 
 8-4613792 
 
 8-4657276 
 
 8-4700329 
 
 8-4742960 
 
 8-4785177 
 
 34 
 
 27 
 
 8-4481423 
 
 8-4526243 
 
 8-4570606 
 
 8-4614521 
 
 8-4657997 
 
 8-4701043 
 
 8-4743667 
 
 8-4785877 
 
 33 
 
 28 
 
 8-4482174 
 
 8-4526986 
 
 8-4571341 
 
 8-4615249 
 
 8-4658718 
 
 8-4701756 
 
 8-4744374 
 
 8-4786577 
 
 32 
 
 29 
 
 8-4482925 
 
 8-4527729 
 
 8-4572077 
 
 8-4615977 
 
 8-4659439 
 
 8-4702470 
 
 8-4745080 
 
 8-4787277 
 
 31 
 
 30 
 
 8-4483675 
 
 8-4528472 
 
 8-4572812 
 
 8-4616705 
 
 8-4660159 
 
 8-4703184 
 
 8-4745787 
 
 8-4787977 
 
 30 
 
 31 
 
 8-4484426 
 
 8-4529215 
 
 8-4573547 
 
 8-4617433 
 
 8-4660880 
 
 8-4703897 
 
 8-474649.4 
 8-4747200 
 
 8-4788677 
 
 29 
 
 32 
 
 8-4485176 
 
 8-4529957 
 
 8-4574282 
 
 8-4618160 
 
 8-4661600 
 
 8-470461 1 
 
 8-4789376 
 
 28 
 
 33 
 
 8-4485926 
 
 8-4530700 
 
 8-4575017 
 
 8-4618888 
 
 8-4662321 
 
 8-4705324 
 
 8-4747906 
 
 8-4790076 
 
 27 
 
 34 
 
 8-4486676 
 
 8-4531442 
 
 8-4575752 
 
 8-4619615 
 
 8-4663041 
 
 8-4706037 
 
 8-4748612 
 
 8-4790775 
 
 26 
 
 35 
 
 8-4487426 
 
 8-4532184 
 
 8-4576487 
 
 8-4620343 
 
 8-4663761 
 
 8-4706750 
 
 8-4749319 
 
 8-4791475 
 
 25 
 
 36 
 
 8-4488176 
 
 8-4532926 
 
 8-4577221 
 
 8-4621070 
 
 8-4664481 
 
 8-4707463 
 
 8-4750025 
 
 8-4792174 
 
 24 
 
 37 
 
 8-4488925 
 
 8-4533668 
 
 8-4577956 
 
 8-4621797 
 
 8-4665201 
 
 8-4708176 
 
 8-4750730 
 
 8-4792873 
 
 23 
 
 38 
 
 8-4489675 
 
 3-45344] 
 
 8-4578690 
 
 8-4622524 
 
 8-4665921 
 
 8-4708888 
 
 8-4751436 
 
 8-4793572 
 
 22 
 
 39 
 
 8-4490424 
 
 8-4535152 
 
 8-4579424 
 
 8-4623251 
 
 8-4666640 
 
 8-4709601 
 
 8-4752142 
 
 8-4794271 
 
 21 
 
 40 
 
 8-4491173 
 
 8-4535893 
 
 8-4580158 
 
 8-4623978 
 
 8-4667360 
 
 8-4710313 
 
 8-4752847 
 
 8-4794969 
 
 20 
 
 41 
 
 8-4491923 
 
 8-4536635 
 
 8-4580892 
 
 8-4624704 
 
 8-4668079 
 
 8-4711026 
 
 8-4753553 
 
 8-4795668 
 
 19 
 
 42 
 
 8-4492672 
 
 8-4537376 
 
 8-4581626 
 
 8-4625431 
 
 8-4668798 
 
 8-4711738 
 
 8-4754258 
 
 8-4796366 
 
 18 
 
 43 
 
 8-4493420 
 
 8-4538117 
 
 8-4582360 
 
 8-4626157 
 
 8-4669517 
 
 8-4712450 
 
 8-4754963 
 
 8-4797065 
 
 17 
 
 44 
 
 8-4494169 
 
 8-4538859 
 
 8-4583094 
 
 8-4626883 
 
 8-4670236 
 
 8-4713162 
 
 8-4755668 
 
 8-4797763 
 
 16 
 
 45 8-4494918 
 
 8-4539599 
 
 8-4583827 
 
 8-4627609 
 
 8-4670955 
 
 8-4713874 
 
 8-4756373 
 
 8-4798461 
 
 15 
 
 468-4495666 
 
 8-4540340 
 
 8-4584560 
 
 8-4628335 
 
 8-4671674 
 
 8-4714586 
 
 8-4757078 
 
 3-4799159 
 
 14 
 
 47 
 
 8-4496415 
 
 8-4541081 
 
 8-4585293 
 
 8-4629061 
 
 3-4672393 
 
 8-4715297 
 
 8-4757783 
 
 8-4799857 
 
 13 
 
 48 
 
 8-4497163 
 
 8-4541822 
 
 8-4586027 
 
 8-4629787 
 
 8-4673111 
 
 8-4716009 
 
 8-4758487 
 
 8-4800555 
 
 12 
 
 49 
 
 8-4497911 
 
 8-4542562 
 
 8-4586760 
 
 8-4630512 
 
 8-4673830 
 
 8-4716720 
 
 E-4759192 
 
 8-4801252 
 
 11 
 
 508-4498659 
 
 8-4543302 
 
 8-4587492 
 
 8-4631238 
 
 8-4674548 
 
 8-4717431 
 
 8-4759896 
 
 8-4801950 
 
 10 
 
 51 
 
 8-4499407 
 
 8-4544043 
 
 8-4588225 
 
 8-4631963 
 
 8-4675266 
 
 8-4718142 
 
 8-4760600 
 
 8-4802648 
 
 9 
 
 52 
 
 8-4500154 
 
 8-4544783 
 
 8-4588958 
 
 8-4632689 
 
 '8-4675984 
 
 8-4718853 
 
 8-4761304 
 
 8-4803345 
 
 8. 
 
 53 
 
 8-4500902 
 
 8-4545523 
 
 8-4589690 
 
 8-4633414 
 
 8-4676702 
 
 8-4719564 
 
 8-4762008 
 
 8-4804042 
 
 7 
 
 54 
 
 8-4501649 
 
 8-4546262 
 
 8-4590422 
 
 8-4634139 
 
 8-4677420 
 
 8-4720275 
 
 8-4762712 
 
 8-4804739 
 
 6 
 
 55 
 
 8-4502397 
 
 8-4547002 
 
 8-4591155 
 
 8-4634864 
 
 8-4678138 
 
 8-4720986 
 
 8-4763416 
 
 8-4805436 
 
 5 
 
 56 
 
 8-4503144 
 
 8-4547742 
 
 8-4591887 
 
 8-4635588 
 
 8-4678855 
 
 8-4721696 
 
 8-4764120 
 
 8-4806133 
 
 4 
 
 57 
 
 8-4503891 
 
 8-4548481 
 
 8-4592619 
 
 8-4636313 
 
 8-4679573 
 
 8-4722407 
 
 8-4764823 
 
 8-4806830 
 
 3 
 
 58 
 
 8-4504638 
 
 8-4549220 
 
 8-4593351 
 
 8-4637038 
 
 8-4680290 
 
 8-4723117 
 
 8-4765527 
 
 8-4807527 
 
 2 
 
 59 
 
 8-4505385 
 
 8-4549960 
 
 8-4594082 
 
 8-4637762 
 
 8-4681008 
 
 8-4723827 
 
 8-4766230 
 
 8-4808223 
 
 1 
 
 GO 
 
 8-4506131 
 
 8-4550699 
 
 8-4594814 
 
 8-4638486 
 
 8-4681725 
 
 8-4724538 
 
 8-4766933 
 
 8-4808920 
 
 . 
 
 IT 
 
 IT 
 
 23' 
 
 22' 
 
 ^ 21' 
 
 20' 
 
 19' 
 
 18' 
 
 . 17' 
 
 16' 
 
 LOG. COTANGENTS. 
 
 I 2 88 Dprr 
 
(244Y 1 Deff. 
 
 LOG. SINES. Tab. 9. 
 
 \ 
 
 - - X «-> 
 
 
 
 If 
 
 44' 
 
 45' 
 
 4G' 
 
 47' 
 
 48' 
 
 49' 
 
 50' 
 
 51' 
 
 // 
 
 8-4806932 
 
 8-4848479 
 
 8-4889632 
 
 8-4930398 
 
 8-4970784 
 
 8-5010798 
 
 8-5050447 
 
 8-5089736 
 
 60 
 
 1 
 
 8-4807628 
 
 8-4849168 
 
 8-4890314 
 
 8-4931074 
 
 8-4971454 
 
 8-6011462 
 
 8-6061105 
 
 8-5090388 
 
 59 
 
 2 
 
 8-4808323 
 
 8-4849857 
 
 8-4890997 
 
 8-4931750 
 
 8-4972124 
 
 8-5012126 
 
 8-5051762 
 
 8-6091040 
 
 58 
 
 3 
 
 8-4809019 
 
 8-4850546 
 
 B-4891 679 
 
 8-4932426 
 
 8-4972794 
 
 8-5012790 
 
 8-5052420 
 
 8-5091691 
 
 67 
 
 4 
 
 8-48097 1-! 
 
 8-4851235 
 
 8-4892361 
 
 8-4933102 
 
 8-4973463 
 
 8-5013453 
 
 8-5053077 
 
 8-6092343 
 
 56 
 
 5 
 
 8-4810410 
 
 8-4851923 
 
 8-4893043 
 
 8-4933778 
 
 8-4974133 
 
 8-5014116 
 
 8-5053735 
 
 8-5092994 
 
 55 
 
 6 
 
 8-4811105 
 
 8-4852612 
 
 8-4893726 
 
 8-4934453 
 
 8-4974802 
 
 8-5014780 
 
 8-5054392 
 
 8-5093646 
 
 64 
 
 7 
 
 8-4811800 
 
 8-4R33300 
 
 8-4894407 
 
 8-4935129 
 
 8-4975472 
 
 8-5015443 
 
 8-5055049 
 
 8-5094297 
 
 53 
 
 8 
 
 8-4812495 8-4853989 
 
 8-4895089 
 
 8-4935804 
 
 8-4976141 
 
 8-5016106 
 
 8-5055706 
 
 8-5094948 
 
 52 
 
 9 
 
 3-4813190 8-4854677 
 
 8-4895771 
 
 8-4936480 
 
 8-4976810 
 
 8-5016769 
 
 8-5056363 
 
 8-5-095599 
 
 51 
 
 JO 
 
 8-4813884 
 
 8-4865365 
 
 8-4896453 
 
 8-4937166 
 
 8-4977479 
 
 8-5017432 
 
 8-5057020 
 
 8-5096250 
 
 50 
 
 11 
 
 8-4814579 
 
 8-4856053 
 
 8-4897134 
 
 8-4937830 
 
 8-4978148 
 
 8-5018096 
 
 8-5057677 
 
 8-5096901 
 
 49 
 
 12 
 
 8-4815273 
 
 8-4856741 
 
 8-4897816 
 
 8-4938505 
 
 8-4978817 
 
 8-6018757 
 
 8-5058333 
 
 8-5097662 
 
 48 
 
 13 
 
 8-4815968 
 
 8-4857429 
 
 8-4898497 
 
 8-4939180 
 
 8-4979486 
 
 8-5019420 
 
 8-5058990 
 
 8-5098202 
 
 47 
 
 14 
 
 8-4816662 
 
 8-4858116 
 
 8-4899178 
 
 8-4939855 
 
 8-4980154 
 
 8-5020082 
 
 8-5059646 
 
 8-5098863 
 
 46 
 
 15 
 
 8-4817356 
 
 8-4858804 
 
 8-4899869 
 
 8-4940530 
 
 8-4980823 
 
 8-5020745 
 
 8-5060303 
 
 B-5099503 
 
 45 
 
 16 
 
 8-4818050 
 
 B-485949I 
 
 8-4900540 
 
 8-4941204 
 
 8-4981491 
 
 8-5021407 
 
 8-5060959 
 
 8-5100154 
 
 44 
 
 17 
 
 8-4818744 
 
 8-4860179 
 
 8-4901221 
 
 8-4941879 
 
 8-4982169 
 
 8-5022069 
 
 8-5061615 
 
 8-5100804 
 
 43 
 
 18 
 
 8-4819438 
 
 8-4860866 
 
 8-4901902 
 
 8-4942553 
 
 8-4982827 
 
 8-5022731 
 
 8-5062271 
 
 8-5101454 
 
 42 
 
 19 
 
 8-4820132 
 
 8-4861553 
 
 8-4902582 
 
 8-4943228 
 
 8-4983495 
 
 8-5023393 
 
 8-5052927 
 
 8-5102104 
 
 41 
 
 20 
 
 "^•4820825 
 
 a -4862240 
 
 8-4903263 
 
 8-4943902 
 
 8-4984163 
 
 8-5024055 
 
 8-5063683 
 
 8-5102764 
 
 40 
 
 21 
 
 8-4821519 
 
 a-4862927 
 
 8-4903943 
 
 8-4944576 
 
 8-4984831 
 
 8-5024717 
 
 8-5064239 
 
 8-6103404 
 
 39 
 
 22 
 
 3-4822212 
 
 8-4863614 
 
 8-4904624 
 
 8-4945250 
 
 8-4985499 
 
 8-5025378 
 
 8-5064894 
 
 8-5104054 
 
 38 
 
 23 
 
 3-4822905 
 
 3-4864300 
 
 8-4905304 
 
 8-4945924 
 
 8-4986167 
 
 8-5026040 
 
 8-6065550 
 
 8-5104703 
 
 37 
 
 24 
 
 3-4823599 
 
 8-4864987 
 
 8-4905984 
 
 8-4946597 
 
 8-4986834 
 
 8-5026701 
 
 8-5066205 
 
 8-6106363 
 
 36 
 
 25 
 
 3-4824292 
 
 8-4865673 
 
 8-4906664 
 
 8-4947271 
 
 8-4987502 
 
 8-5027363 
 
 3-506686] 
 
 8-6106002 
 
 35 
 
 26' 
 
 3-4824985 
 
 8-4866360 
 
 8-4907344 
 
 8-4947945 
 
 8-4988169 
 
 8-5028024 
 
 8-5067516 
 
 8-6106652 
 
 34 
 
 27 
 
 3-4825677 
 
 8-4867046 
 
 8-4908024 
 
 8-4948618 
 
 8-4988836 
 
 8-5028685 
 
 8-5068171 
 
 8-5107301 
 
 33 
 
 28 
 
 3-4826370 
 
 8-4867732 
 
 8-4908703 
 
 8-4949292 
 
 8-4989504 
 
 8-5029346 
 
 8-5068826 
 
 8-5107960 
 
 32 
 
 29 
 
 3-4827063 
 
 8-4868418 
 
 8-4909383 
 
 8-4949965 
 
 8-4990171 
 
 8-5030007 
 
 8-506948! 
 
 8-5108599 
 
 31 
 
 30 
 
 3-4827755 
 
 8-4869104 
 
 8-4910063 
 
 8-4950638 
 
 8-4990838 
 
 8-6030668 
 
 8-5070136 
 
 8-5109248 
 
 30 
 
 31 
 
 3-4828448 
 
 8-4869790 
 
 8-4910742 
 
 8-495131] 
 
 8-4991604 
 
 8-5031329 
 
 8-5070791 
 
 8-5109897 
 
 29 
 
 32 
 
 3-4829140 
 
 8-4870476 
 
 8-4911421 
 
 8-4951984 
 
 8-4992171 
 
 8-5031989 
 
 8-5071446 
 
 8-5110546 
 
 28 
 
 33 
 
 3-4829832 
 
 8-4871161 
 
 8-4912100 
 
 8-4952657 
 
 8-4992838 
 
 8-6032650 
 
 8-5072100 
 
 8-5111195 
 
 27 
 
 34 
 
 8-4830524 
 
 8-4871847 
 
 8-4912779 
 
 8-4953330 
 
 8-4993504 
 
 8-5033310 
 
 8-5072755 
 
 8-5111843 
 
 26 
 
 35 
 
 3-4831216 
 
 8-4872532 
 
 8-4913458 
 
 8-4964002 
 
 8-4994171 
 
 8-5033971 
 
 8-5073409 
 
 8-5112492 
 
 25 
 
 36 
 
 3-4831908 
 
 8-4873217 
 
 8-4914137 
 
 8-4954675 
 
 8-4994837 
 
 8-5034631 
 
 8-5074063 
 
 8-5113140 
 
 24 
 
 37 
 
 3-4832600 
 
 8-4873903 
 
 8-4914816 
 
 8-4955347 
 
 8-4996503 
 
 8-5035291 
 
 8-5074717 
 
 8-6113789 
 
 23 
 
 38 
 
 3-4833291 
 
 8-4874588 
 
 8-4915495 
 
 8-4956020 
 
 8-4996169 
 
 8-5036951 
 
 8-5076371 
 
 8-6114437 
 
 22 
 
 39 
 
 3-4833983 
 
 8-4875273 
 
 84916173 
 
 8-4956692 
 
 8-4996835 
 
 8-5036611 
 
 8-5076025 
 
 8-6115086 
 
 21 
 
 40 
 
 3-4834674 
 
 8-4875957 
 
 8-4916852 
 
 8-4957364 
 
 8-4997501 
 
 8-5037271 
 
 8-5076679 
 
 8-6115733 
 
 20 
 
 41 
 
 8-4835365 
 
 8-4876642 
 
 8-4917530 
 
 8-4958036 
 
 8-4998167 
 
 8-5037931 
 
 8-5077333 
 
 8-6116381 
 
 19 
 
 42 
 
 8-4836057 
 
 8-4877327 
 
 8-4918208 
 
 8-4958708 
 
 8-4998833 
 
 8-6038590 
 
 8-5077987 
 
 8-5117029 
 
 18 
 
 43 
 
 8-4836748 
 
 8-4878011 
 
 8-4918886 
 
 8-4959380 
 
 8-4999499 
 
 8-5039250 
 
 8-5078640 
 
 8-6117676 
 
 17 
 
 44 
 
 3-4837439 
 
 8-4878696 
 
 8-4919564 
 
 8-4960061 
 
 8-6000164 
 
 8-5039909 
 
 8-5079294 
 
 8-5118324 
 
 16 
 
 45 
 
 8-4838129 
 
 8-4879380 
 
 8-4920242 
 
 8-4960723 
 
 8-5000829 
 
 8-5040669 
 
 8-5079947 
 
 8-5118972 
 
 15 
 
 46 
 
 8-4838820 
 
 8-4880064 
 
 8-4920920 
 
 8-4961394 
 
 8-5001496 
 
 8-5041228 
 
 8-6080601 
 
 8-61 19619 
 
 14 
 
 47 
 
 8-4839511 
 
 8-4880748 
 
 8-4921598 
 
 8-4962068 
 
 8-5002160 
 
 8-5041887 
 
 8-5081254 
 
 8-5120266 
 
 13 
 
 48 
 
 8-4840201 
 
 8-4881432 
 
 8-4922275 
 
 8-4962737 
 
 8-5002826 
 
 8-5042646 
 
 8-5081907 
 
 8-5120914 
 
 12 
 
 49 
 
 8-4840892 
 
 8-4882116 
 
 8-4922953 
 
 8-4963408 
 
 8-5003490 
 
 8-5043205 
 
 8-6082560 
 
 8-5121661 
 
 11 
 
 50 
 
 8-4841682 
 
 8-4882800 
 
 8-4923630 
 
 8-4964079 
 
 8-5004166 
 
 8-5043864 
 
 8-5083213 
 
 8-6122208 
 
 10 
 
 51 
 
 8-4842272 
 
 8-4883484 
 
 8-4924307 
 
 8-496475q 
 
 8-5004820 
 
 8-5044523 
 
 8-5083866 
 
 8-5122855 
 
 9 
 
 ti 
 
 8-4842962 
 
 8-4884167 
 
 8-4924984 
 
 8-4965421 
 
 8-5005485 
 
 8-5045181 
 
 8-5084518 
 
 8-5123602 
 
 8 
 
 5,3 
 
 8-4843652 
 
 8-4884851 
 
 8-4925661 
 
 8-4966092 
 
 8-50C6149 
 
 8-5046840 
 
 8-5085171 
 
 8-5124148 
 
 7 
 
 54 
 
 8-4844342 
 
 8-4885534 
 
 8-4926338 
 
 8-4966763 
 
 3-5006814 
 
 8-5046498 
 
 8-5085823 
 
 8-5124795 
 
 6 
 
 65 
 
 8-4845032 
 
 8-4886217 
 
 8-4927015 
 
 8-4967433 
 
 8-5007478 
 
 8-5047157 
 
 8-5086476 
 
 8-5125442 
 
 5 
 
 56 
 
 8-4845721 
 
 8-4886900 
 
 8-4927692 
 
 8-4968104 
 
 8-5008142 
 
 8-6047815 
 
 8-5087128 
 
 8-6126088 
 
 4 
 
 57 
 
 8-4846411 
 
 8-4887583 
 
 8-4928368 
 
 8-4968774 
 
 8-5008806 
 
 8-5048473 
 
 8-5087780 
 
 8-6126735 
 
 3 
 
 58 
 
 8-4847100 
 
 8-4888266 
 
 8-4929045 
 
 8-4969444 
 
 8-6009471 
 
 8-5049131 
 
 8-6088432 
 
 8-5127381 
 
 2 
 
 59 
 
 8-4847790 
 
 8-4888949 
 
 8-4929721 
 
 8-4970114 
 
 8-5010135 
 
 8-5049789 
 
 8-5089084 
 
 8-5128027 
 
 1 
 
 60 
 T 
 
 8-4848479 
 
 8-4889632 
 
 8-4930398 
 
 8-4970784 
 
 8-5010798 
 
 8-5050447 
 
 8-5089736 8-5128673 
 
 
 T 
 
 15' 1 14' 
 
 13' 
 
 12' 
 
 11' 
 
 10^ 
 
 9' i 8' 
 
 r nn mQTTVTTrc 
 
 8« n« 
 
IDeg. 
 
 
 LOG. TANGENTS. 
 
 
 (245) 
 
 II 
 
 44' 
 
 45' 
 
 46' 
 
 47' 
 
 48'. 
 
 49' 
 
 50' 
 
 51' I" 
 
 ~0 
 
 8-4808920 
 
 8-4850505 
 
 8-4891696 
 
 8-4932502 
 
 8-4972928 
 
 8-5012982 
 
 8-505267 J 
 
 8-509200160 
 
 1 
 
 8-4809616 
 
 8-4851195 
 
 8-4892380 
 
 8-4933179 
 
 8-4973598 
 
 8-5013646 
 
 8-5053329 
 
 8-5092653 
 
 59 
 
 2 
 
 8-4810312 
 
 8-4851884 
 
 8-43i)3063 
 
 8-4933855 
 
 8-4974269 
 
 8-5014311 
 
 8-5053987 
 
 8-5093305 
 
 58 
 
 3 
 
 8-4811008 
 
 8-4852574 
 
 8-4893746 
 
 8-4934532 
 
 8-4974939 
 
 8-5014975 
 
 8-5054646 
 
 8-5093958 
 
 57 
 
 4 
 
 8-4811704 
 
 8-4853263 
 
 8-4894429 
 
 ->4935208 
 
 8-4975610 
 
 8-5015639 
 
 8-5055304 
 
 8-5094610 
 
 56 
 
 6 
 
 8-4812400 
 
 8-4853953 
 
 8-4895112 
 
 8-4935885 
 
 8-4976280 
 
 8-5016303 
 
 8-5055962 
 
 8-5095262 
 
 55 
 
 6 
 
 8-4813096 
 
 8-4854642 
 
 8-4895794 
 
 8-4936561 
 
 8-4976950 
 
 8-5016967 
 
 8-5056620 
 
 8-5095914 
 
 54 
 
 7 
 
 8-4813792 
 
 8-4855331 
 
 8-4896477 
 
 8-4937237 
 
 8-4977620 
 
 8-5017631 
 
 8-5057277 
 
 3-5096566 
 
 53 
 
 8 
 
 8-4814487 
 
 8-4856020 
 
 8-4897169 
 
 8-4937914 
 
 8-4978290 
 
 8-5018295 
 
 8-5057935 
 
 8-5097218 
 
 52 
 
 9 
 
 8-4815183 
 
 8-4856709 
 
 8-4897842 
 
 8-4938590 
 
 8-4978959 
 
 8-5018958 
 
 8-5058593 
 
 8-5097870 
 
 51 
 
 10 
 
 8-4815878 
 
 8-4857397 
 
 8-4898524 
 
 8-4939266 
 
 8-4979629 
 
 8-5019622 
 
 8-5059250 
 
 8-5098521 
 
 50 
 
 11 
 
 8-4816574 
 
 8-4858086 
 
 8-4899206 
 
 8-4939941 
 
 8-4980299 
 
 8-5020285 
 
 8-5059908 
 
 8-5099173 
 
 49 
 
 12 
 
 8-4817269 
 
 8-4858775 
 
 8-4899888 
 
 8-4940617 
 
 8-4980968 
 
 8-5020949 
 
 8-5060565 
 
 8-5099824 
 
 48 
 
 13 
 
 8-4817964 
 
 8-4859463 
 
 8-4900570 
 
 8-4941293 
 
 8-4981638 
 
 8-5021612 
 
 8-5061222 
 
 8-5100475 
 
 47 
 
 14 
 
 8-4818659 
 
 8-4860151 
 
 8-4901252 
 
 8-4941968 
 
 8-4982307 
 
 8-5022275 
 
 8-5061879 
 
 8-5101127 
 
 46 
 
 15 
 
 8-48 J 9353 
 
 8-4860839 
 
 8-4901934 
 
 8-4942643 
 
 8-4982976 
 
 8-5022938 
 
 8-5062536 
 
 8-5101778 
 
 45 
 
 16 
 
 8-4820048 
 
 8-4861528 
 
 8-4902615 
 
 8-4943319 
 
 8-4983645 
 
 8-5023601 
 
 8-5063193 
 
 8-5102429 
 
 44 
 
 17 
 
 8-4820743 
 
 8-4862216 
 
 8-4903297 
 
 8-4943994 
 
 8-4984314 
 
 8-5024264 
 
 8-5063850 
 
 8-5103080 
 
 43 
 
 18 
 
 8-4821437 
 
 8-4862903 
 
 8-4903978 
 
 8-4944669 
 
 8-4984983 
 
 8-5024927 
 
 8-5064507 
 
 8-5103731 
 
 42 
 
 19 
 
 8-4822131 
 
 8-4863591 
 
 8-4904660 
 
 8-4945344 
 
 8-4985652 
 
 8-5025589 
 
 8-5065164 
 
 8-5104381 
 
 41 
 
 20 
 
 8-4822826 
 
 8-4864279 
 
 8-4905341 
 
 8-4946019 
 
 8-4986320 
 
 8-5026252 
 
 8-5065820 
 
 8-5105032 
 
 40 
 
 21 
 
 8-4823520 
 
 8-4864966 
 
 8-4906022 
 
 8-4946694 
 
 8-4986989 
 
 8-5026914 
 
 8-5066477 
 
 8-5105683 
 
 39 
 
 22 
 
 8-4824214 
 
 8-4865654 
 
 8-4906703 
 
 8-4947368 
 
 8-4987657 
 
 8-5027576 
 
 8-5067133 
 
 8-5106333 
 
 38 
 
 23 
 
 8-4824908 
 
 8-4866341 
 
 8-4907384 
 
 8-4948043 
 
 8-4988325 
 
 8-5028239 
 
 8-5067789 
 
 8-5106983 
 
 37 
 
 24 
 
 8-4825602 
 
 8-4867028 
 
 8-4908065 
 
 8-4948717 
 
 8-4988994 
 
 8-5028901 
 
 8-5068445 
 
 8-5107634 
 
 36 
 
 25 
 
 8-4826295 
 
 8-4867716 
 
 8-4908745 
 
 8-4949392 
 
 8-4989662 
 
 8-5029563 
 
 8-5069101 
 
 8-5108284 
 
 35 
 
 26 
 
 8-4826989 
 
 8-4868403 
 
 8-4909426 
 
 8-4950066 
 
 8-4990330 
 
 8-5030225 
 
 8-5069757 
 
 8-5108934 
 
 34 
 
 27 
 
 8-4827682 
 
 8 4869089 
 
 8-4910106 
 
 8-4950740 
 
 8-4990998 
 
 8-5030887 
 
 8-5070413 
 
 8-5109584 
 
 33 
 
 28 
 
 8-4828376 
 
 8-4869776 
 
 8-4910787 
 
 8-4951414 
 
 8-4991666 
 
 8-5031548 
 
 8-5071069 
 
 8-5110234 
 
 32 
 
 29 
 
 8-4829069 
 
 8-4870463 
 
 8-4911467 
 
 8-4952088 
 
 8-4992333 
 
 8-5032210 
 
 8-5071724 
 
 8-5110883 
 
 31 
 
 30 
 
 8-4829762 
 
 8-4871149 
 
 8-4912147 
 
 8-4952762 
 
 8-4993001 
 
 8-5032871 
 
 8-5072380 
 
 8-5111533 
 
 30 
 
 31 
 
 8-4830455 
 
 8-4871836 
 
 8-4912827 
 
 8-4953435 
 
 8-4993668 
 
 8-5033533 
 
 8-5073035 
 
 8-5112183 
 
 29 
 
 32 
 
 8-4831148 
 
 8-4872522 
 
 8-4913507 
 
 8-4954109 
 
 8-4994336 
 
 8-5034194 
 
 8-5073691 
 
 8-5112832 
 
 28 
 
 33 
 
 8-4831841 
 
 8-4873209 
 
 8-4914187 
 
 8-4954783 
 
 8-4995003 
 
 8-5034855 
 
 8-5074346 
 
 8-5113482 
 
 27 
 
 34 
 
 8-4832533 
 
 8-4873895 
 
 8-4914866 
 
 8-4955456 
 
 8-4995670 
 
 8-5035517 
 
 8-5075001 
 
 8-5114131 
 
 26 
 
 35 
 
 8-4833226 
 
 8-4874581 
 
 8-4915546 
 
 8-4956129 
 
 8-4996337 
 
 8-5036178 
 
 8-5075656 
 
 8-5114780 
 
 25 
 
 36 
 
 8-4833919 
 
 8-4875267 
 
 8-4916226 
 
 8-4956802 
 
 8-4997004 
 
 8-5036838 
 
 8-5076311 
 
 8-5115429 
 
 24 
 
 37 
 
 8-4834611 
 
 8-4875952 
 
 8-4916905 
 
 8-4957476 
 
 8-4997671 
 
 8-5037499 
 
 8-5076966 
 
 8-5116078 
 
 23 
 
 38 
 
 8-4835303 
 
 8-4876638 
 
 8-4917584 
 
 8-4958148 
 
 3-4998338 
 
 8-5038160 
 
 8-5077621 
 
 8-5116727 
 
 22 
 
 39 
 
 8-4835995 
 
 8-4877324 
 
 8-4918263 
 
 8-4958821 
 
 8-4999005 
 
 8-5038821 
 
 8-5078275 
 
 8-5117376 
 
 21 
 
 40 
 
 8-4836687 
 
 8-4878009 
 
 8-1918942 
 
 8-4959494 
 
 8-4999671 
 
 8-5039481 
 
 8-5078930 
 
 8-5118025 
 
 20 
 
 41 
 
 8-4837379 
 
 8-4878695 
 
 8-4919621 
 
 8-4960167 
 
 8-5000338 
 
 8-5040142 
 
 8-5079584 
 
 8-5118673 
 
 19 
 
 42 
 
 8-48S8071 
 
 8-4879380 
 
 8-4920300 
 
 8-4960839 
 
 8-5001004 
 
 8-5040802 
 
 8-6080239 
 
 8-5119322 
 
 18 
 
 43 
 
 8-4838763 
 
 8-4880065 
 
 8-4920979 
 
 8-4961512 
 
 8-5001671 
 
 8-5041462 
 
 8-5080893 
 
 8-5119970 
 
 17 
 
 44 
 
 8-4839454 
 
 8-4880750 
 
 8-4921658 
 
 8-4962184 
 
 8-5002337 
 
 8-5042122 
 
 8-5081547 
 
 8-5120618 
 
 16 
 
 45 
 
 8-4840146 
 
 8-4881435 
 
 8-4922336 
 
 8-4962856 
 
 8-5003003 
 
 8-5042782 
 
 8-5082201 
 
 8-5121267 
 
 15 
 
 46 
 
 8-4840837 
 
 8-4882120 
 
 8-4923015 
 
 8-4963529 
 
 8-5003669 
 
 8-5043442 
 
 8-5082855 
 
 8-5121915 
 
 14 
 
 47 
 
 8-4841528 
 
 8-4882805 
 
 8-4923693 
 
 8-4964201 
 
 8-5004335 
 
 8-5044102 
 
 8-5083509 
 
 8-5122563 
 
 13 
 
 48 
 
 8-4842220 
 
 8-4883489 
 
 8-4924371 
 
 8-4964873 
 
 8-5005000 
 
 8-5044762 
 
 8-5084163 
 
 8-5123211 
 
 12 
 
 49 
 
 8-4842911 
 
 8-4884174 
 
 8-4925049 
 
 8-4965544 
 
 8-5005666 
 
 8-5045421 
 
 8-5084817 
 
 8-5123859 
 
 11 
 
 50 
 
 8-4843602 
 
 8-4884858 
 
 8-4925727 
 
 8-4966216 
 
 8-5006332 
 
 8-5046081 
 
 8-5085470 
 
 8-5124606 
 
 10 
 
 51 8-4844292 
 
 8-4885543 
 
 8-4926405 
 
 8-4966888 
 
 8-5006997 
 
 8-5046740 
 
 8-5086124 
 
 8-5125154 
 
 9 
 
 52 8-4844983 
 
 8-4886227 
 
 8-4927083 
 
 8-4967559 
 
 8-5007663 
 
 8-5047400 
 
 8-5086777 
 
 3-5125801 
 
 8 
 
 53 8-4845674 
 
 8-4886911 
 
 8-4927761 
 
 8-4968231 
 
 8-5008328 
 
 8-5048059 
 
 8-5087430 
 
 8-6126449 
 
 7 
 
 54 
 
 84846364 
 
 8-4887595 
 
 8-4928438 
 
 8-4968902 
 
 8-5008993 
 
 8-5048718 
 
 8-5088084 
 
 8-5127096 
 
 6 
 
 55 
 
 8-4847055 
 
 8-4888279 
 
 8-4929116 
 
 8-4969573 
 
 8-5009658 
 
 8-5049377 
 
 8-5088737 
 
 8-5127743 
 
 5 
 
 56 
 
 8-4847745 
 
 8-4888962 
 
 8-4929793 
 
 8-4970244 
 
 8-5010323 
 
 8-5050036 
 
 8-5089390 
 
 8-5128391 
 
 4 
 
 57 
 
 8-4848435 
 
 8-4889646 
 
 8-4930471 
 
 8-4970915 
 
 8-5010988 
 
 8-5050695 
 
 8-5090042 
 
 8-5129038 
 
 3 
 
 58 
 
 8-4849125 
 
 8-4890330 
 
 8-4931148 
 
 8-4971586 
 
 8-5011653 
 
 8-5051353 
 
 8-5090695 
 
 8-5129685 
 
 2 
 
 59 
 
 8-4849815 
 
 8-4891013 
 
 8-4931825 
 
 8-4972257 
 
 8-5012317 
 
 8-5052012 
 
 8-6091348 
 
 8-5130332 
 
 1 
 
 •60 
 
 8-4850505 
 
 8-4891696 
 
 a-4932502 
 
 8-4972928 
 
 8-5012982 
 
 3-5052671 
 
 8-5092001 
 
 8-5130978 
 
 
 
 T 
 
 II 
 
 15' 
 
 14' 
 
 13' 
 
 12' 
 
 11' 
 
 10' 
 
 9' 
 
 8' 
 
 CO 1^^^ 
 
^246) 
 
 I Deg. 
 
 
 LOG. -eiNES. 
 
 
 
 Tab. g. 
 
 II 
 
 52' 
 
 53' 
 
 54' 
 
 ,55' 
 
 56' 
 
 57' 
 
 58' 
 
 59' " 
 
 "o 
 
 8-5128673 
 
 8-5l672«i4 
 
 8-5205514 
 
 8-5243430 
 
 8-5281017 
 
 8-5318281 
 
 8-5355228 
 
 8-5391863 
 
 60 
 
 1 
 
 8«5I29319 
 
 8-5167904 
 
 8-5206148 
 
 8-5244059 
 
 8-5281641 
 
 8-5318900 
 
 8-5355342 
 
 8-5392471 
 
 59 
 
 2 
 
 8-5129965 
 
 8-5168544 
 
 8-5206783 
 
 8-5244688 
 
 8-5282264 
 
 8-5319518 
 
 8-5356455 
 
 8-5393079 
 
 58 
 
 3 
 
 ii'5l306ll 
 
 8-5169184 
 
 8-5207417 
 
 8-5245317 
 
 8-5282888 
 
 8-5320136 
 
 8-5357068 
 
 8-5393687 
 
 57 
 
 4 
 
 8-5131266 
 
 8-5169824 
 
 8-5208052 
 
 8-5245946 
 
 8-5283511 
 
 8-5320754 
 
 8-5357680 
 
 8-5394295 
 
 56 
 
 5 
 
 8-5131902 
 
 8-5170464 
 
 8-5208686 
 
 8-5246574 
 
 8-5284135 
 
 8-5321372 
 
 8-5358293 
 
 8-5394902 
 
 55 
 
 6 
 
 8-5132548 
 
 8-5171104 
 
 8-5209320 
 
 8-5247203 
 
 8-5284758 
 
 8-5321990 
 
 8-5358906 
 
 8-5395510 
 
 54 
 
 7 
 
 8-5133193 
 
 8-5171743 
 
 8-5209954 
 
 8-5247832 
 
 8-5285381 
 
 8-5322608 
 
 8-5359518 
 
 8-5396117 
 
 53 
 
 8 
 
 8-5133838 
 
 8-5172383 
 
 8-5210588 
 
 8-5248460 
 
 8-5286004 
 
 8-5323226 
 
 8-5360131 
 
 8-5396725 
 
 52 
 
 9 
 
 8-5134484 
 
 8-5173023 
 
 8-5211222 
 
 8-5249088 
 
 8-5286627 
 
 8-5323844 
 
 8-5360743 
 
 8-5397332 
 
 51 
 
 10 
 
 8-5135129 
 
 8-5173662 
 
 8-5211856 
 
 8-5249717 
 
 8-5287250 
 
 8-5324461 
 
 8-5361356 
 
 8-5397939 
 
 50 
 
 n 
 
 8-5135774 
 
 8-5174301 
 
 8-5212490 
 
 8-5250345 
 
 8-5287873 
 
 8-5325079 
 
 8-5361968 
 
 8-5398546 
 
 49 
 
 12 
 
 8-5136419 
 
 8-5174941 
 
 8-5213123 
 
 8-525097S 
 
 8-5288495 
 
 8-5325696 
 
 8-5362580 
 
 8-5399153 
 
 48 
 
 13 
 
 8-5137064 
 
 8-5175580 
 
 8-5213757 
 
 8-5251601 
 
 8-5289118 
 
 8-5326313 
 
 8-5363192 
 
 8-5399760 
 
 47 
 
 14 
 
 8-5137708 
 
 8-5176219 
 
 8-5214390 
 
 8-5252229 
 
 8-5289741 
 
 8-5326931 
 
 8-5363804 
 
 8-5400367 
 
 46 
 
 15 
 
 8-5138353 
 
 8-5176858 
 
 8-5215024 
 
 8-5252857 
 
 8-5290363 
 
 8-5327548 
 
 8-5364416 
 
 8-5400974 
 
 45 
 
 16 
 
 8-5138997 
 
 8-5177497 
 
 8-5215657 
 
 8-5253485 
 
 8-5290985 
 
 8-5328166 
 
 8-5365028 
 
 8-5401581 
 
 44 
 
 17 
 
 8-5139642 
 
 3-5178135 
 
 8-5216290 
 
 8-5254112 
 
 8-5291608 
 
 8-5328782 
 
 8-5365640 
 
 8-5402187 
 
 43 
 
 18 
 
 8-5140286 
 
 8-5178774 
 
 8-5216923 
 
 8-5254740 
 
 8-5292230 
 
 8-5329399 
 
 8-5366251 
 
 8-5402794 
 
 42 
 
 19 
 
 8-5140931 
 
 8-5179413 
 
 8-5217556 
 
 8-5255367 
 
 8-5292852 
 
 8-5330015 
 
 8-5366863 
 
 8-5403400 
 
 41 
 
 20 
 
 8-5141575 
 
 8-5180051 
 
 8-5218189 
 
 8-5255995 
 
 8-5293474 
 
 8-5330632 
 
 8-5367474 
 
 8-5404007 
 
 40 
 
 21 
 
 8-5142219 
 
 8-5180689 
 
 8-5218822 
 
 8-5256622 
 
 8-5294096 
 
 8-5331249 
 
 8-5368086 
 
 8-5404613 
 
 39 
 
 22 
 
 8-5142863 
 
 8-5181328 
 
 8-5219455 
 
 8-5257249 
 
 8-5294718 
 
 8-5331865 
 
 8-5368697 
 
 8-5405219 
 
 38 
 
 23 
 
 8-51435C7 
 
 8-5181966 
 
 8-5220087 
 
 8-5257877 
 
 8-5295339 
 
 8-5332482 
 
 8-5369308 
 
 8-5405825 
 
 37 
 
 24 
 
 8-5144150 
 
 8-5182604 
 
 8-5220720 
 
 8-5258504 
 
 8-5295961 
 
 8-5333098 
 
 8-5369920 
 
 8-5406431 
 
 36 
 
 25 
 
 8-5144794 
 
 8-5183242 
 
 8-5221352 
 
 8-5259131 
 
 8-5296583 
 
 8-5333714 
 
 8-5370531 
 
 8-5407037 
 
 35 
 
 26" 
 
 8-5145438 
 
 8-5183880 
 
 8-5221985 
 
 8-5259757 
 
 8-5297204 
 
 8-5334330 
 
 8-5371142 
 
 8-5407643 
 
 34 
 
 27 
 
 8-5146081 
 
 8-5184518 
 
 8-5222617 
 
 8-5260384 
 
 8-5297826 
 
 8-5334946 
 
 8-5371752 
 
 8-5408249 
 
 33 
 
 28 
 
 8-5146725 
 
 8-5185156 
 
 8-5223249 
 
 8-5261011 
 
 8-5298447 
 
 8-5335562 
 
 8-5372363 
 
 8-5408854 
 
 32 
 
 29 
 
 8-5147368 
 
 8-5185793 
 
 8-5223881 
 
 8-5261637 
 
 8-5299068 
 
 8-5336178 
 
 8-5372974 
 
 8-5409460 
 
 31 
 
 308-5148011 
 
 8-5186431 
 
 8-5224513 
 
 8-5262264 
 
 8-5299689 
 
 8-5336794 
 
 8-5373585 
 
 8-5410066 
 
 30 
 
 31 
 
 8-5148654 
 
 8-5187068 
 
 8-5225145 
 
 8-5262890 
 
 8-5300310 
 
 8-5337410 
 
 8-6374195 
 
 8-5410671 
 
 29 
 
 32 
 
 8-5149297 
 
 8-5187706 
 
 8-5225777 
 
 8-5263517 
 
 8-5300931 
 
 8-5338026 
 
 8-5374806 
 
 8-5411276 
 
 28 
 
 33 
 
 8-5149940 
 
 8-5188343 
 
 8-5226408 
 
 8-5264143 
 
 8-5301552 
 
 8-5338641 
 
 8-5375416 
 
 8-5411882 
 
 27 
 
 34 
 
 8-5150583 
 
 8-5188980 
 
 8-5227040 
 
 8-5264769 
 
 8-5302173 
 
 8-5339257 
 
 8-5376026 
 
 8-5412487 
 
 26 
 
 35 
 
 8-5151226 
 
 8-5189617 
 
 8-5227672 
 
 8-5265395 
 
 8-5302793 
 
 8-5339872 
 
 8-5376636 
 
 8-5413092 
 
 25 
 
 36 
 
 8-5151869 
 
 8-5190254 
 
 8-5228303 
 
 8-5266021 
 
 8-5303414 
 
 8-5340487 
 
 8-5377247 
 
 8-5413697 
 
 24 
 
 37 
 
 8-5152511 
 
 8-5190891 
 
 8-5228934 
 
 8-5266647 
 
 8-5304034 
 
 8-5341103 
 
 8-5377857 
 
 8-5414302 
 
 23 
 
 38 
 
 8-5153154 
 
 8-5191528 
 
 8-5229566 
 
 8-5267273 
 
 8-5304655 
 
 8-5341718 
 
 8-5378466 
 
 8-5414907 
 
 22 
 
 39 
 
 8-5153796 
 
 8-5192164 
 
 8-5230197 
 
 8-5267898 
 
 8-5305275 
 
 8-5342333 
 
 8-5379076 
 
 8-5415511 
 
 21 
 
 40 
 
 8-5154438 
 
 8-5192801 
 
 8-5230828 
 
 8-5268524 
 
 8-5305895 
 
 8-5342948 
 
 8-5379686 
 
 8-5416116 
 
 20 
 
 41 
 
 8-5155080 
 
 8-5193438 
 
 8-5231459 
 
 8-5269149 
 
 8-5306516 
 
 8-5343 5€3 
 
 8-5380296 
 
 8-5416721 
 
 19 
 
 42 
 
 8-5155722 
 
 8-5194074 
 
 8-5232090 
 
 8-5269775 
 
 8-5307136 
 
 8-5344177 
 
 8-5380905 
 
 8-5417325 
 
 18 
 
 43 
 
 8-5156364 
 
 8-5194710 
 
 8-5232720 
 
 8-5270400 
 
 8-5307756 
 
 8-5344792 
 
 8-5381516 
 
 8-5417929 
 
 17 
 
 44 
 
 8-5157006 
 
 8-5195347 
 
 8-5233351 
 
 8-5271025 
 
 8-5308375 
 
 8-5345407 
 
 8-5382124 
 
 8-5418534 
 
 16 
 
 45 8-5157648 
 
 8-5195983 
 
 8-5283982 
 
 8-5271651 
 
 8-5308995 
 
 8-5346021 
 
 8-5382734i8-5419138 
 
 15 
 
 4618-5158290 
 
 8-5196619 
 
 8-5234612 
 
 8-5272276 
 
 8-5309615 
 
 8-5346636 
 
 8-5383343 
 
 8-5419742 
 
 14 
 
 47J8-5 158931 
 
 8-5 197255 
 
 8-5235243 
 
 8-5272901 
 
 8-5310235 
 
 8-5347250 
 
 8-5383952 
 
 8-5420346 
 
 13 
 
 48 8-5159573 
 
 8-5197891 
 
 8-5235873 
 
 8-5273525 
 
 8-5310854 
 
 8-5347864 
 
 8-5384561 
 
 8-5420950 
 
 12 
 
 49 8-5160214 
 
 8-5198526 
 
 8-5236503 
 
 8-5274150 
 
 8-5311473 
 
 8-5348478 
 
 8-5385170 
 
 8-5421554 
 
 11 
 
 50 8-5160856 
 
 8-5199162 
 
 8-5237133 
 
 8-5274775 
 
 8-5312093 
 
 83349092 
 
 8-5385779 
 
 8-5422158 
 
 10 
 
 51 
 
 8-5161497 
 
 8-5199798 
 
 8-5237763 
 
 8-5275400 
 
 8-5312712 
 
 8-5349706 
 
 8-5386388 
 
 8-5422762 
 
 9 
 
 52 
 
 8-5162138 
 
 8-5200433 
 
 8-5238393 
 
 8-5276024 
 
 8-5313331 
 
 8-5350320 
 
 8-53*86997 
 
 8-5423365 
 
 8 
 
 53 
 
 8-5162779 
 
 8-5201069 
 
 8-5239023 
 
 8-5276648 
 
 8-5313950 
 
 8-5350934 
 
 8-5387605 
 
 8-5423969 
 
 7 
 
 54 
 
 8-5163420 
 
 8-5201704 
 
 8-5239653 
 
 8-5277273 
 
 8;53 14569 
 
 8-5351548 
 
 8-5388214 
 
 8-5424572 
 
 6 
 
 55 
 
 8-5164061 
 
 8-5202339 
 
 8-5240283 
 
 8-5277897 
 
 8-5315188 
 
 8-5352161 
 
 8-5388822 
 
 8-5425176 
 
 5 
 
 56 
 
 8-5164701 
 
 8-5202974 
 
 8-5240912 
 
 8-5278521 
 
 8-5315807 
 
 8-535277,'^ 
 
 8-5389431 
 
 8-5425779 
 
 4 
 
 57 
 
 8-5165342 
 
 8-5203609 
 
 8-5241542 
 
 8-5279145 
 
 8-5316426 
 
 8-5353389 
 
 8-5390039 
 
 8-5426382 
 
 3 
 
 58 
 
 8-5165983 
 
 8-5204244 
 
 8-5242171 
 
 8-5279769 
 
 8-5317044 
 
 8-5354002 
 
 8-5390647 
 
 8-5426986 
 
 2 
 
 59 
 
 8-5166623 
 
 8-5204879 
 
 8-5242800 
 
 8-5280393 
 
 8-5317663 
 
 8-5354615 
 
 8-5391255 
 
 8-5427589 
 
 1 
 
 60 
 
 8-5167264 
 
 8-5i>05514 
 
 8-5243430 
 
 8-5281017 
 
 8-5318281 
 
 8-5355228 
 
 8-5391863 
 
 8-5428192 
 
 
 
 II 
 
 7' 
 
 6' 
 
 6' 
 
 4' 
 
 .3' 
 
 2' 
 
 1' 
 
 0' 
 
 ,1 
 
 LOG. COSINES. 
 
 88 Dei?. 
 
 1 
 
1 Deg. 
 
 LOG. TANGENTS. 
 
 (247) 
 
 /; 
 ~0 
 
 52' 
 
 5.^' 
 
 54' 
 
 55' 
 
 56' 
 
 57' 
 
 58' 
 
 59' " 
 
 ={•513097^, 
 
 5-516961(1 
 
 5-5207902 
 
 5-5245860 i 
 
 J-5283490 
 
 5-5320797 
 
 i-o6b77S7 
 
 5-5394466 60 
 
 1 
 
 ^5 13 1625 
 
 5-5170251 
 
 5-5208537 
 
 5-5246490 i 
 
 ^52841 14 
 
 5-6321416 i 
 
 5-5358401 
 
 5-5395075 59 
 
 2 
 
 ^•5132272 
 
 5-5170892 
 
 5-5209173 
 
 5-5247120 
 
 5-5284739 
 
 5-5322035 
 
 5-5359015 
 
 5-5395683 58 
 
 3 
 
 5-5132918 
 
 5-5171533 
 
 B-520980B 
 
 5-5247749 
 
 5-5285363 
 
 5-5322654 
 
 5-5359629 
 
 5-5396292 67 
 
 4 
 
 ^•5133564 
 
 3-5172173 
 
 8-5210443 
 
 8-5248379 
 
 5-5285987 
 
 5-5323273 
 
 5-5360242 
 
 5-5396900 56 
 
 5 
 
 5-5134211 
 
 3-5172814 
 
 8-5211078 
 
 8-5249008 8-52866111 
 
 5-5323892 
 
 5-5360856 
 
 5-5397509 56 
 
 6 
 
 5-5134857 
 
 8-5173455 
 
 8-5211713 
 
 8-5249638 
 
 5-5287235 
 
 5-5324510 
 
 3-5361469 
 
 5-5398117 54 
 
 7 
 
 8-5135503 
 
 8-5174095 
 
 8-5212348 
 
 8-5250267 
 
 3-5287859 
 
 3-5325129 8-53620821 
 
 8-5398725 53 
 
 8 
 
 8-5136149 
 
 8-5174735 
 
 8-5212982 
 
 8-5250896 
 
 8-5288483 
 
 8-5325747 
 
 3-6362696 
 
 8-5399333 52 
 
 9 
 
 8-5136795 
 
 8-5175375 
 
 8-5213617 
 
 8-5251525 
 
 8-5289106 
 
 8-5326366 
 
 3-5363309 
 
 8-5399941 51 
 
 10 
 
 8-5137441 
 
 8-5176016 
 
 8-5214251 
 
 8-5252154 
 
 8-5289730 
 
 8-5326984 
 
 8-5363922 
 
 8-5400549 50 
 
 11 
 
 8-5138087 
 
 8-5176656 
 
 8-5214886 
 
 8-5252783 
 
 8-5290353 
 
 8-5327602 
 
 8-5364535 
 
 8-5401157 49 
 
 12 
 
 8-5138732 
 
 8-5177296 
 
 8-5215520 
 
 8-5253412 
 
 8-5290977 
 
 8-5328220 
 
 8-5365148 
 
 8-5401766 48 
 
 13 
 
 8-5139378 
 
 8-5177935 
 
 8-5216154 
 
 8-5254041 
 
 8-5291600 
 
 8-5328838 
 
 8-5365761 
 
 8-5402372 47 
 
 14 
 
 8-5140023 
 
 8-5178575 
 
 8-5216789 
 
 8-5254669 
 
 8-5292223 
 
 8-5329466 
 
 8-5366373 
 
 8-6402980 46 
 
 15 
 
 8-5140668 
 
 8-5179215 
 
 8-5217423 
 
 8-5255298 
 
 8-5292847 
 
 8-5330074 
 
 8-6366986 
 
 8-5403587 45 
 
 16 
 
 8-5141314 
 
 8-5179854 
 
 8-5218057 
 
 8-5255926 
 
 8-6293470 
 
 8-5330692 
 
 8-5367599 
 
 8-5404195 44 
 
 17 
 
 8-5141959 
 
 8-5180494 
 
 8-5218690 
 
 8-5256555 
 
 8-5294093 
 
 8-5331310 
 
 8-5368211 
 
 8-5404802 43 
 
 18 
 
 8-5142604 
 
 8-5181133 
 
 8-5219324 
 
 8-5257183 
 
 8-5294716 
 
 8-6331927 
 
 8-5368823 
 
 8-5405409 45 
 
 19 
 
 8-5143249 
 
 8-5181772 
 
 8-5219958 
 
 8-5257811 
 
 8-5295338 
 
 8-5332645 
 
 8-5369436 
 
 8-5406017 41 
 
 20 
 
 8-5143894 
 
 8-5182412 
 
 8-5220591 8-5258439 
 
 8-5295961 
 
 8-5333162 
 
 8-5370048 
 
 8-5406624 40 
 
 21 
 
 8-5144539 
 
 8-5183051 
 
 8-5221225 8-5259067 
 
 8-5296584 
 
 8-6333779 
 
 8-5370660 
 
 8-5407231 39 
 
 22 
 
 8-5145183 
 
 8-5183690 
 
 8-5221858 
 
 8-5259695 
 
 8-5297206 
 
 8-5334397 
 
 8-5371272 
 
 8-5407838 38 
 
 23 
 
 8-5145828 
 
 8-5184329 
 
 8-5222492 
 
 8-5260323 
 
 8-5297829 
 
 8-5335014 
 
 8-5371884 
 
 8-5408446 37 
 
 24 
 
 8-5146472 
 
 8-5184967 
 
 8-5223125 
 
 8-5260951 
 
 8-5298451 
 
 8-5335631 
 
 8-5372496 
 
 8-5409051 36 
 
 25 
 
 8-5147117 
 
 8-5185606 
 
 8-5223758 
 
 8-5261579 
 
 8-5299073 
 
 8-5336248 
 
 8-5373108 
 
 8-5409658 35 
 
 26 
 
 8-5147761 
 
 8-5186245 
 
 8-5224391 
 
 8-5262206 
 
 8-5299696 
 
 8-5336866 
 
 8-5373719 
 
 8-5410264 34 
 
 27 
 
 8-5148405 
 
 8-5186883 
 
 8-5225024 
 
 8-5262834 
 
 8-5300318 
 
 8-5337482 
 
 8-5374331 
 
 8-541087133 
 
 28 
 
 8-5149049 
 
 8-5187522 
 
 8-5225657 
 
 8-6263461 
 
 8-5300940 
 
 8-6338098 
 
 8-5374942 
 
 8-5411477 32 
 
 29 
 
 8-5149693 
 
 8-5188160 
 
 8-5226290 
 
 8-5264088 
 
 8-5^301562 
 
 8-5338715 
 
 8-5375554 
 
 8-5412084 31 
 
 30 
 
 8-5150337 
 
 8-5188798 
 
 8-5226922 
 
 8-5264716 
 
 8-5302183 
 
 8-5339331 
 
 8-5376165 
 
 8-5412690 30 
 
 31 
 
 8-5150981 
 
 8-5189436 
 
 8-5227555 
 
 8-5265343 
 
 8-5302806 
 
 8-5339948 
 
 3*5376777 
 
 8-5413296 29 
 
 32 
 
 8-5151625 
 
 8-5190074 
 
 8-5228187 
 
 8-5265970 
 
 8-5303427 
 
 8-6340664 
 
 8-5377388 
 
 8-5413902 28 
 
 33 
 
 8-5152268 
 
 8-5190712 
 
 8-5228820 
 
 8-5266597 
 
 8-5304048 
 
 8-5341181 
 
 8-5377999 
 
 8-5414508 27 
 
 34 
 
 8-5152912 
 
 8-5191350 
 
 8-5229452 
 
 8-5267223 
 
 8-5304670 
 
 8-5341797 
 
 8-5378610 
 
 8-5415114 26 
 
 35 
 
 8-5153555 
 
 8-5191988 
 
 8-5230084 
 
 8-5267850 
 
 8-5305291 
 
 8-5342413 
 
 8-5379221 
 
 8-6416720 25 
 
 36 
 
 8-5154199 
 
 8-5192626 
 
 8-5230717 
 
 8-5268477 
 
 8-5305912 
 
 8-5343029 
 
 8-5379832 
 
 8-5416326 24 
 
 37 
 
 8-5154842 
 
 8-5193263 
 
 8-5231349 
 
 8-5269103 
 
 8-5306534 
 
 8-5343646 
 
 8-6380442 
 
 8-5416931 23 
 
 38 
 
 8-5155485 
 
 8-5193901 
 
 8-5231980 
 
 8-5269730 
 
 8-5307155 
 
 8-5344261 
 
 8-5381053 
 
 8-5417637 22 
 
 39 
 
 8-5156128 
 
 8-5194538 
 
 8-5232612 
 
 8-5270356 
 
 8-5307776 
 
 8-5344876 
 
 8-6381664 
 
 8-5418142 21 
 
 40 
 
 8-5156771 
 
 8-5195175 
 
 8-5233244 
 
 8-5270983 
 
 8-5308397 
 
 8-5345492 
 
 8-5382274 
 
 8-5418748 20 
 
 41 
 
 8-5157414 
 
 8-5195813 
 
 8-5233876 
 
 8-5271609 
 
 8-5309018 
 
 8-5346108 
 
 8-5382884 
 
 8-5419353 19 
 
 42 
 
 8-5158057 
 
 8-5196450 
 
 8-5234507 
 
 8-5272235 
 
 8-5309638 
 
 8-6346723 
 
 8-6383495 
 
 8-5419958 18 
 
 43 
 
 8-5158699 
 
 8-5197087 
 
 8-5235139 
 
 8-5272861 
 
 8-5310259 
 
 8-5347339 
 
 8-5384105 
 
 8-5420563 17 
 
 44 
 
 8-5159342 
 
 8-5197724 
 
 8-5235770 
 
 8-5273487 
 
 8-6310880 
 
 8-5347954 
 
 8-5384715 
 
 8-5421168 16 
 
 45 
 
 8-5159S84 
 
 8-5198361 
 
 8-5236401 
 
 8-6274113 
 
 8-5311500 
 
 8-5348569 
 
 8-5386325 
 
 8-5421773 15 
 
 46 
 
 8-5160627 
 
 8-5198997 
 
 8-5237033 
 
 8-5274739 
 
 8-5312121 
 
 8-5349184 
 
 8-5385935 
 
 8-5422378 14 
 
 47 
 
 8-5161269 
 
 8-5199634 
 
 8-5237664 
 
 8-5275364 
 
 8-6312741 
 
 8-5349799 
 
 8-6386545 
 
 8-5422983 13 
 
 48 
 
 8-5161911 
 
 8-5200271 
 
 8-5238295 
 
 8-5275990 
 
 8-5313361 
 
 8-5350414 
 
 8-5387155 
 
 8-5423588 12 
 
 49 
 
 8-5162553 
 
 8-5200907 
 
 8-5238926 
 
 8-5276615 
 
 8-5313981 
 
 8-5351029 
 
 8-5387765 
 
 8-5424193 11 
 
 50 
 
 8-5163195 
 
 8-5201543 
 
 8-5239557 
 
 8-5277241 
 
 8-5314601 
 
 8-5351644 
 
 8-5388374 
 
 8-6424797 10 
 
 51 
 
 8-5163837 
 
 8-5202180 
 
 8-5240187 
 
 8-5277866 
 
 8-5315221 
 
 8-5352259 
 
 8-5388984 
 
 8-5425402 9 
 
 52 
 
 8-5164479 
 
 8-5202816 
 
 8-52408 le 
 
 8-5278491 
 
 8-5315841 
 
 8-6352873 
 
 8-5389593 
 
 8-5426006 8 
 
 53 
 
 8-5165121 
 
 8-5203451 
 
 8-5241449 
 
 8-5279116 
 
 8-5316461 
 
 8-5353488 
 
 8-5390203 
 
 8-5426610 7 
 
 54 
 
 8-516576:. 
 
 8-5204088 
 
 8-524207S 
 
 8-5279741 
 
 8-5317081 
 
 8-5354102 
 
 8-5390812 
 
 8-5427214 6 
 
 55 
 
 8-516640^ 
 
 8-5204724 
 
 8-5242709 
 
 8-5280366 
 
 8-531770C 
 
 8-5354717 
 
 8-5391421 
 
 8-6427819 6 
 
 56 
 
 8-516704E 
 
 8-520536C 
 
 8-524334( 
 
 8-5280991 
 
 8-531 832C 
 
 8-5365331 
 
 8-539203{ 
 
 8-4428423 4 
 
 57 
 
 8-5167687 
 
 8-520599r 
 
 8-524397f 
 
 8-5281616 
 
 8-5318939 
 
 8-535594S 
 
 8-5392639 
 
 8-5429027 3 
 
 5? 
 
 8-5l6832f 
 
 8-5206631 
 
 8-524460C 
 
 8-5282241 
 
 8-531955S 
 
 8-6356659 
 
 8-539324^ 
 
 8-5429631 2 
 
 59 
 
 8-5l68969!8-5207267 
 
 8-524523C 
 
 ) 8-528286'S 
 
 8-5320178 
 
 8-5357173 
 
 8-539385/ 
 
 8-5430234 1 
 
 6C 
 
 8-5l696l0i8-520790!. 
 
 8-524586C 
 
 8-528349C 
 
 8-5320797 
 
 8-5357787 
 
 8-539446t 
 
 8-5430838 
 
 . It 
 
 7' 1 6' 
 
 5' 
 
 4' 
 
 3' 
 
 2' 
 
 1 
 
 ()/ . 
 
 •\T r\ r? Ti.T nn i 
 
 QQ r^. 
 
((248) Beg. 
 
 NATURAL SINES, &C. 
 
 Tab. 10. 
 
 Sine 
 
 ooouoou 
 
 0002909 
 000581b 
 0008727 
 001IG36 
 0014544 
 0017453 
 0020362 
 0023271 
 0026180 
 0029089 
 0031998 
 0034907 
 0037815 
 0040724 
 0043633 
 0046542 
 004945 r 
 18|0052360 
 
 19 0055268 
 
 20 0058177 
 
 Dit. 
 
 0061086 
 0063995 
 0066904 
 0069813 
 0072721 
 0075630 
 0078539 
 0081448 
 0084357 
 0087265 
 
 0090174 
 0093083 
 0095992 
 0098900 
 0101809 
 0104718 
 0107627 
 0110535 
 0113444 
 0116353 
 0119261 
 0122170 
 0125079 
 0127987 
 0130896 
 0133805 
 0136713 
 0139622 
 0142530 
 0145439 
 0148348 
 0151256 
 0154165 
 0157073 
 0159982 
 0162890 
 0165799 
 0168707 
 0171616 
 0174524 
 
 Cosine 
 
 2909 
 2909 
 2909 
 2909 
 2908 
 2909 
 2909 
 2909 
 2909 
 2909 
 2909 
 2909 
 2908 
 
 2909 
 2909 
 2909 
 2909 
 2909 
 2908 
 2909 
 2909 
 2909 
 2909 
 2909 
 2908 
 2909 
 2909 
 2909 
 2909 
 2908 
 2909 
 
 2909 
 2909 
 2908 
 2909 
 2909 
 2909 
 2908 
 2909 
 2909 
 2908 
 2909 
 2909 
 2908 
 2909 
 2909 
 2908 
 2909 
 2908 
 2909 
 2909 
 908 
 2909 
 2908 
 2909 
 2908 
 2909 
 2908 
 2909 
 2908 
 
 Covers 
 
 1-000000 
 9997091 
 9994182 
 9991273 
 998836-J 
 9985456 
 9982547 
 9979638 
 9976729 
 9973820 
 9970911 
 9968002 
 9955093 
 9962185 
 9959276 
 
 9956367 229- ]838i 
 
 Cosec. 
 
 Infinite 
 3437-7468 
 1718-873 
 1145-9157 
 859-43689 
 687-54960 
 572-95809 
 491-10702 
 429-71873 
 381-97230 
 343-77516 
 312-52297 
 286-47948 
 264-44269 
 245-55402 
 
 9953458 
 9950549 
 9947640 
 9944732 
 9941823 
 9938914 
 9936005 
 9933096 
 9930187 
 9927279 
 9924370 
 9921461 
 9918552 
 9915643 
 9912735 
 9909826 
 9906917 
 9904008 
 9901100 
 9898191 
 9895282 
 
 989237 
 9889465 
 9886556 
 9883647 
 9880739 
 9877830 
 987492 
 )872013 
 9869104 
 9866195 
 9863287 
 9860378 
 9857470 
 54561 
 9851652 
 9848744 
 9845835 
 9842927 
 9840018 
 9837110 
 9834201 
 9831293 
 9828384 
 9825476 
 
 Dif. 
 
 Vers. 
 
 214-85995 
 202-22122 
 190-98680 
 180-93496 
 171-88831 
 163-70325 
 156-26228 
 149-46837 
 143-24061 
 
 137-51108 
 132-22229 
 127-32526 
 122-77803 
 118-54440 
 114.59301 
 110-89656 
 107-43114 
 104-17574 
 101-11185 
 98-223033 
 95-494711 
 92-913869 
 90-468863 
 88-149244 
 85-945609 
 83-849470 
 81-853150 
 79-949684 
 78-132742 
 76-396554 
 74-735856 
 73-145827 
 71-622052 
 
 70-160474 
 757360 
 67-409272 
 66'-l 13036 
 64-865716 
 63-664595 
 62-507158 
 61-391050 
 60-314110 
 59-274308 
 58-269755 
 57-298688 
 
 Tang. 
 
 Secant 
 
 0000000 
 
 0002909 
 
 0005818 
 
 0008727 
 
 0011636 
 
 0014544 
 
 0017453 
 
 0020362 
 
 0023271 
 
 0026180 
 
 0029089 
 
 0031998 
 
 0034907 
 
 0037816 
 
 0040725 
 
 0043634 
 
 0046542 
 
 0049451 
 
 0052360 
 
 0055269 
 
 0058178 
 
 0061087 
 
 0063996 
 
 0066905 
 
 0069814 
 
 0072723 
 
 0075632 
 
 0078541 
 
 0081450 
 
 008436Q 
 
 0087269 
 
 0090178 
 
 0093087 
 
 0095996 
 
 0098905 
 
 0101814 
 
 0104724 
 
 0107633 
 
 0110542 
 
 0113451 
 
 0116361 
 
 0119270 
 
 0122179 
 
 0125088 
 
 0127998 
 
 0130907 
 
 0133817 
 
 0136726 
 
 0139635 
 
 0142545 
 
 0145454 
 
 0148364 
 
 0151273 
 
 0154183 
 
 0157093 
 
 0160002 
 
 0162912 
 
 0165821 
 
 0168731 
 
 0171641 
 
 Cotani^. 
 
 Inliniie 
 3437-7467 
 1718-8732 
 1145-9153 
 859-43630 
 687-54887 
 572-95721 
 
 491-10600 
 429-71757 
 381-97099 
 343-77371 
 312-5i2137 
 286-47773 
 264-44080 
 245-55198 
 229-18166 
 214-85762 
 202-21875 
 190-98419 
 180-93220 
 171-88540 
 163-70019 
 156-25908 
 149-46502 
 143-23712 
 137-50745 
 132-21851 
 127-32134 
 122-77396 
 118-54018 
 114-58865 
 110-89205 
 107-42648 
 104-17094 
 101-10690 
 98-217943 
 95-489475 
 92-908487 
 90-463336 
 143572 
 85-939791 
 83-843507 
 81-847041 
 
 79-943430 
 78-126342 
 76-390009 
 74-729165 
 73-138991 
 71-615070 
 70-153346 
 68-750087 
 67-401854 
 66-105473 
 64-858008 
 63-656741 
 2-499154 
 61-382905 
 60-305820 
 59-265872 
 58-261174 
 
 Secant 
 
 Vers. 
 
 0174551 57-2899621 
 
 1-0000000 
 
 1-0000000 
 
 1-000000 
 
 1-0000004 
 
 1-0000007 
 
 I -00000 11 
 
 1-0000015 
 
 1-0000021 
 
 1-0000027 
 
 1-0000034 
 
 1-0000042 
 
 1-0000051 
 
 1-0000061 
 
 1-0000072 
 
 1-0000083 
 
 1-0000095 
 
 1-0000108 
 
 1-0000122 
 
 1-0000137 
 
 1-0000153 
 
 1-0000169 
 
 1-0000187 
 
 1-0000205 
 
 1-0000224 
 
 1-0000244 
 
 1-0000264 
 
 1 -0000286 
 
 1-0000308 
 
 1-0000332 
 
 1-0000356 
 
 1-0000381 
 
 1-0000407 
 
 1-0000433 
 
 1-0000461 
 
 1-0000489 
 
 1-0000518 
 
 1-0000548 
 
 1-0000579 
 
 1-0000611 
 
 1-0000644 
 
 1-0000677 
 
 1-000071 
 
 1-0000746 
 
 1-0000782 
 1-0000819 
 1-0000857 
 1-0000895 
 I -0000935 
 1-0000975 
 l-OOOlOib 
 1-000105H 
 1-0001101 
 1-0001144 
 1-0001189 
 1-0001234 
 1-0001280 
 1-0001327 
 1-0001375 
 1 -000 1423 
 0001473 
 
 0000000 
 
 0000000 
 
 0000002 
 
 0000004 
 
 0000007 
 
 0000011 
 
 0000016 
 
 0000021 
 
 0000027 
 
 0000034 
 
 0000042 
 
 0000051 
 
 0000061 
 
 0000072 
 
 0000083 
 
 0000095 
 
 0000108 
 
 0000122 
 
 0000137 
 
 0000153 
 
 0000169 
 
 0000187 
 
 0000205 
 
 0000224 
 
 0000244 
 
 0000264 
 
 0000286 
 
 0000308 
 
 0000332 
 
 0000356 
 
 0000381 
 
 0000407 
 
 0000433 
 
 0000461 
 
 0000489 
 
 0000518 
 
 0000548 
 
 0000579 
 
 0000611 
 
 0000643 
 
 0000677 
 
 0000711 
 
 000G746 
 
 0000782 
 
 00008^9 
 
 0000857 
 
 0000895 
 
 0000935 
 
 0000975 
 
 0001016 
 
 0001058 
 
 0001100 
 
 0001144 
 
 0001188 
 
 0001234 
 
 0001280 
 
 0001327 
 
 0001375 
 
 0001423 
 
 0001473 
 
 D 
 
 1-0001523 0001523 
 
 Cotan.j Tang. | Cosec. ICoverir 
 
 Cosine 
 
 1-000000 
 
 1-000000 
 
 9999998 
 
 9999996 
 
 9999993 
 
 9999989 
 
 9999985 
 
 9999979 
 
 9999973 
 
 9999966 
 
 9999958 
 
 9999949 
 
 9999939 
 
 9999928 
 
 9999917 
 
 9999905 
 
 9999892 
 
 9999878 
 
 9999863 
 
 9999847 
 
 9999831 
 
 9999813 
 
 9999795 
 
 9999776 
 
 9999756 
 
 9999736 
 
 9999714 
 
 9999692 
 
 9999668 
 
 .9999644 
 
 9999619 
 
 9999593 
 
 9999567 
 
 9999539 
 
 9999511 
 
 999948.2 
 
 9999452 
 
 9999421 
 
 9999389 
 
 9999357 
 
 9999323 
 
 9999289 
 
 9999254 
 
 9999218 
 
 999918 
 
 9999143 
 
 9999105 
 
 9999065 
 
 9999025 
 
 9998984 
 
 9998942 
 
 9998900 
 
 9998856 
 
 9998812 
 
 999S766 
 
 9998720 
 
 9998673 
 
 9998625 
 
 9998577 
 
 9998527 
 
 999S477 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 35 
 34 
 33 
 ^2 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 17 
 16 
 15 
 14 
 13 
 12 
 11 
 10 
 9 
 
 Sine 
 
 NATURAL SINES, &C. 
 
 Deg. 89 
 
'ej!. 
 
 LOG. SINES, Sec, 
 
 (249) 
 
 Sine 
 
 Diff. 
 
 Infill. 
 
 3010300 
 
 1760912 
 
 1249387 
 
 969100 
 
 79181 
 
 669468 
 
 579918 
 
 511524 
 
 457574 
 
 413926 
 
 377884 
 
 347619 
 
 321846 
 
 299630 
 
 280285 
 
 263288 
 
 248233 
 
 234809 
 
 222762 
 
 211890 
 
 202031 
 
 193049 
 
 184831 
 
 n7285 
 
 170330 
 
 163901 
 
 157939 
 
 152397 
 
 147229 
 
 142400 
 
 137879 
 
 133636 
 
 129646 
 
 125887 
 
 122340 
 
 118988 
 
 115814 
 
 112805 
 
 109949 
 
 107234 
 
 104649 
 
 102186 
 
 99837 
 
 97593 
 
 95448 
 
 93394 
 
 91428 
 
 89543 
 
 87733 
 
 85996 
 
 84325 
 
 82719 
 
 81172 
 
 79683 
 
 78246 
 76862 
 75524 
 74233 
 72985 
 
 Cosec. 
 
 Diff. 
 
 Infinite 
 13-5362739 
 13-2352439 
 13-0591527 
 12-9342140 
 12-8373040 
 12-7581229 
 
 12-6911761 
 
 12-6331843 
 
 12-5820319 
 
 12-5362745 
 
 12-4948819 
 
 12-457093 
 
 12-4223316 
 
 12-3901470 
 
 12-3601840 
 
 12-3321555 
 
 12-3058267 
 
 12-2810034 
 
 12-2575225 
 
 12-2352463 
 
 12-2140573 
 
 12-1938542 
 
 12-1745493 
 
 12-1560662 
 
 12-138337 
 
 12-1213047 
 
 12-1049146 
 
 12-0891207 
 
 12-0738810 
 
 12-0591581 
 
 12-0449181 
 
 12-0311302 
 
 12-0177666 
 
 12-0048020 
 
 11-9922133 
 
 11-9799793 
 
 11-9680805 
 
 11-9564991 
 
 11-9452186 
 
 11-9342237 
 
 11-9235003 
 
 11-9130354 
 
 11-9028168 
 
 11-8928331 
 
 11-8830738 
 
 11-8735290 
 
 11-8641896 
 
 11-8550468 
 
 11-8460925 
 
 11-8373192 
 
 11-8287196 
 
 11-8202871 
 
 11-8120152 
 
 11-8038980 
 
 11-7959297 
 
 11-7881051 
 
 11-7804189 
 
 11-7728665 
 
 11-7654432 
 
 11-7581447 
 
 Verseds. 
 
 Inf. Neg, 
 2-6264222 
 3-2284822 
 3-5806647 
 3-8305422 
 4-0243622 
 4-1827246 
 4-3166182 
 4-4326020 
 4-5349070 
 4-6264219 
 4-7092072 
 4-7847843 
 4-8543084 
 4-9186777 
 4-9786041 
 5-0346614 
 5-0873192 
 5-1369663 
 5-1839283 
 5-2284810 
 5-2708595 
 5-3112661 
 5-3498763 
 5-3868430 
 4223003 
 5-4563669 
 5-4891475 
 5-^07359 
 5-5512157 
 5-5806620 
 
 5-6091427 
 5-6367191 
 5-6634468 
 5-6893765 
 5-7145546 
 5-7390233 
 7628215 
 5-7859850 
 5-8085468 
 5-8305373 
 
 Tang. 
 
 Inf. Neg. 
 6-4637261 
 6-7647562 
 6-9408475 
 7-0657863 
 7-1626964 
 7-2418778 
 7-3088248 
 7-3668169 
 7-4179696 
 7-4637273 
 7-5051203 
 7-5429091 
 7-5776715 
 7-6098566 
 7-6398201 
 7-6678492 
 7-6941786 
 7-7190026 
 7-7424841 
 7-7647610 
 
 7859508 
 7-8061547 
 7-8254604 
 7-8439444 
 7-8616738 
 7-8787077 
 7-8950988 
 7-9108938 
 7-9261344 
 7-^408584 
 7-9550996 
 7-9688886 
 7-9822534 
 7-9952192 
 8-0078092 
 8-0200445 
 8-0319446 
 
 •0435274 
 8-0548094 
 8-0658057 
 
 Diff. 
 
 5-8519848 8-0765306 
 729154 8-0869970 
 
 8-0972172 
 8-1072025 
 1169634 
 8-1265099 
 8-1358510 
 8-1449956 
 
 8-1539516 
 8-1627267 
 8-1713282 
 8-1797626 
 8-1880364 
 8-1961556 
 8-2041259 
 8-2119526 
 8-2196408 
 8-2271953 
 3-234G208 
 8-2419215 
 
 5-8933535 
 5-9133217 
 5-9328411 
 5-95193 14 
 V9/06112 
 5-9888977 
 6-0068070 
 6-0243546 
 6-0415646 
 6-0584206 
 6-0749654 
 6-0912008 
 6-1071384 
 6-1227887 
 6-1381620 
 6-1532679 
 6-1681156 
 6-1827137 
 
 Secant Covers. Cotang. 
 
 Infin. 
 3010301 
 1760913 
 1249388 
 969101 
 791814 
 669470 
 579921 
 511527 
 457577 
 413930 
 377888 
 347624 
 321851 
 299635 
 280291 
 263294 
 248240 
 23481 
 222769 
 211898 
 202039 
 193057 
 184840 
 177294 
 170339 
 163911 
 157950 
 152406 
 147240 
 142412 
 
 137890 
 133648 
 129658 
 125900 
 122353 
 119001 
 
 115828 
 112820 
 109963 
 107249 
 104664 
 102202 
 
 99853 
 97609 
 95465 
 93411 
 91446 
 89560 
 87751 
 86015 
 84344 
 82738 
 81192 
 797Q>i 
 78267 
 76882 
 75545 
 74255 
 73007 
 
 Cotang. Covers. Secant D 
 
 Infinite 
 13-5362739 
 13-2352438 
 13-0591525 
 12-9342137 
 12-8373036 
 12-7581222 
 
 12-6911752 
 12-6331831 
 12-5820304 
 12-5362727 
 12-4948797 
 12-4570909 
 12-4223285 
 12-3901434 
 12-36ai799 
 12-3321508 
 12-3058214 
 12-2809974 
 12-2575159 
 12-2352390 
 12-2140492 
 12-1938453 
 12-1745396 
 12-1560556 
 12-1383262 
 12-1212923 
 12-1049012 
 12-0891062 
 12-0738656 
 12-0591416 
 12-0449004 
 12-0311114 
 12-0177466 
 12-0047808 
 11-9921908 
 11-9799555 
 1-9680554 
 11-9564726 
 11-9451906 
 11-9341943 
 
 10-000000 
 9-9998737 
 9-9997473 
 9-9996208 
 9-9994944 
 9-9993679 
 9-9992414 
 
 9-.9991148 
 9-9989882 
 9-9988615 
 9-9987348 
 9-9986081 
 9-9984814 
 
 9-9983546 
 9-9982278 
 9-9981009 
 9-9979740 
 9-9978471 
 9-9977201 
 
 9975931 
 9-9974660 
 9-9973389 
 9-9972118 
 9-9970846 
 
 9969574 
 9-9968302 
 9-9967029 
 9-9965756 
 9-9964483 
 9-9963209 
 9-9961935 
 9-9960660 
 9-9959385 
 
 9958110 
 9-9956834 
 9-9955558 
 9-9954282 
 9-9953005 
 9-9951728 
 9-9950450 
 9-9949172 
 
 11-9234694 9-9947894 
 
 11-9130030 
 11-9027828 
 1-8927975 
 11-8830366 
 11-8734901 
 11-8641490 
 11-8550044 
 
 11-8460484 
 11-8372733 
 
 8286718 
 11-8202374 
 11-8119636 
 11-8038444 
 
 7958741 
 11-7880474 
 11-7803592 
 
 7728047 
 11-7653792 
 11-7580785 
 
 9-9946615 
 9-9945336 
 9-9944057 
 
 9-9942777 10-0000372 
 
 lOOOOOOOO 
 
 10-0000000 
 
 10-0000001 
 
 10-0000002 
 
 10-0000003 
 
 10-0000005 
 
 10-0000007 
 
 10^0000009 
 
 10-0000012 
 
 10-0000015 
 
 10-0000018 
 
 10-0000022 
 
 10-0000026 
 
 10-0000031 
 
 10-0000036 
 
 10-0000041 
 
 10-0000047 
 
 10-0000053 
 
 10-0000060 
 
 10-0000066 
 
 10-0000073 
 
 10-0000081 
 
 10-0000089 
 
 10-0000097 
 
 10-0000106 
 
 10-0000115 
 
 10-0000124 
 
 10-0000134 
 
 10-0000144 
 
 10-000015 
 
 10-0000165 
 
 10-0000177 
 
 10-0000188 
 
 10-0000200 
 
 10-0000212 
 
 10-0000225 
 
 10-0000238 
 
 10-0000252 
 
 10-0000265 
 
 10-0000279 
 
 10-0000294 
 
 10-0000309 
 
 10-0000324 
 
 10-0000340 
 
 10-0000356 
 
 9-9941497 
 9-9940217 
 9-9938936 
 9-9937654 
 9-9936373 
 9-9935091 
 9-9933808 
 9-9932526 
 9-9931243 
 9829959 
 9-9928675 
 9-9927391 
 9-9926106 
 9-9924821 
 9-9923536 
 
 Diff. Tang. Verseds. Cosec. D Sine 
 
 10-0000389 
 10-0000406 
 10-0000423 
 10-0000441 
 10-0000459 
 10-0000478 
 10-0000497 
 10-0000516 
 10-0000536 
 10-0000556 
 10-0000576 
 10-0000597 
 10-0000618 
 10-0000640 
 10-0000662 
 
 Cosine 
 
 10-000000 
 10-000000 
 9-9999999 
 9-9999998 
 9-9999997 
 9-9999990 
 
 9999993 
 9-9999991 
 9-9999988 
 
 9999985 
 9-9999982 
 9-9999978 
 9-9999974 
 9-9999969 
 9-9999964 
 9-9999959 
 
 9999953 
 9-9999947 
 9-9999940 
 9-9999934 
 9-9999927 
 9-9999919 
 9-9999911 
 9-9999903 
 9-9999894 
 9-9999885 
 9-9999876 
 9-9999866 
 9-9999856 
 9-9999845 
 9-9999835 
 9-9999823 
 9-9999812 
 9-9999800 
 9-9999788 
 9-999977 
 9-99^S762 
 
 •999974S 
 9-9999735 
 
 ■9999721 
 9-9999706 
 
 9999691 
 9-9999676 
 9-9999660 
 9-9999644 
 9-9999628 
 9-9999611 
 9-9999594 
 9-9999577 
 
 9999559 
 9-9999541 
 
 9999522 
 9-9999503 
 9-9999484 
 9-9999464 
 9-9999444 
 9-9999424 
 9-9999403 
 9-9999382 
 9-9999360 
 9-9999338 
 
 3K 
 
 Deor. 89. 
 
(250) 1 Deg. 
 
 NATURAL SINES, &C. 
 
 Tab. 10. 
 
 Sine Dif. Covers 
 
 0174524 
 0177432 
 0180341 
 0183249 
 0186158 
 0189066 
 0191974 
 0194883 
 0197791 
 0200699 
 0203608 
 0206516 
 0209424 
 0212332 
 0215241 
 0218149 
 0221057 
 0223965 
 0226873 
 0229781 
 0232690 
 0235598 
 0238506 
 0241414 
 0244322 
 0247230 
 0250138 
 0253046 
 0255954 
 0258862 
 0261769 
 0264677 
 0267585 
 0270493 
 0273401 
 0276309 
 0279216 
 0282124 
 0285032 
 0287940 
 0290847 
 0293755 
 0296662 
 0299570 
 0302478 
 0305385 
 0308293 
 0311200 
 0314108 
 0317015 
 0319922 
 0322830 
 0325737 
 0328644 
 0331552 
 
 0334459 
 0337366 
 
 55 
 
 56 
 
 5710340274 
 
 58 
 
 59 
 
 60l034R995 
 
 10343181 
 
 0346088 
 
 Cosine Dif. 
 
 2908 
 2909 
 2908 
 2909 
 2908 
 2908 
 2909 
 2908 
 2908 
 2909 
 2908 
 2908 
 2908 
 2909 
 2908 
 2908 
 2908 
 2908 
 2908 
 2909 
 2908 
 2908 
 2908 
 2908 
 2908 
 2908 
 2908 
 2908 
 2908 
 2907 
 2908 
 
 2908 
 2908 
 2908 
 2908 
 2907 
 2908 
 2908 
 2908 
 2907 
 2908 
 2907 
 2908 
 2908 
 2907 
 2908 
 2907 
 2908 
 2907 
 2907 
 2908 
 2907 
 2907 
 2908 
 2907 
 2907 
 2908 
 2907 
 2907 
 2907 
 
 9825476 
 9822568 
 9819659 
 9816751 
 9813842 
 9810934 
 9808026 
 
 9805117 
 9802209 
 9799301 
 9796392 
 9793484 
 9790576 
 9787668 
 9784759 
 9781851 
 9778943 
 9776035 
 9773127 
 9770219 
 9767310 
 9764402 
 9761494 
 9758586 
 9755678 
 9752770 
 9749862 
 9746954 
 9744046 
 9741138 
 9738231 
 9735323 
 9732415 
 9729507 
 9726599 
 9723691 
 9720784 
 9717S76 
 9714968 
 9712060 
 9709153 
 9706245 
 9703338 
 9700430 
 9697522 
 9694615 
 9691707 
 9688800 
 9685892 
 9682985 
 9680078 
 9677170 
 9674263 
 9671356 
 9668448 
 9665541 
 966265"4 
 9659726 
 9656819 
 9653912 
 9651005 
 
 57-298688 
 
 56-359462 
 
 55-450534 
 
 54-570464 
 
 53-717896 
 
 52-891564 01 
 
 52-090272 
 
 Vers. 
 
 Cosec. 
 
 0174551 
 0177460 
 0180370 
 0183280 
 0186190 
 89100 
 0192010 
 
 51-312902 
 
 50-558396 
 
 49-825762 
 
 49-114062 
 
 48-422411 
 
 47-749974 
 
 47-095961 
 
 46-459625 
 
 45-840260 
 
 45-237195 
 
 14-649795 
 
 44-077458 
 
 43-519612 
 
 42-975713 
 
 42-445245 
 
 41-927717 
 
 41-422660 
 
 40-929630 
 
 40-448201 
 
 39-977969 
 
 39-518549 
 
 39-069571 
 
 38-630683 
 
 38-201550 
 
 37-781849 
 
 37-371273 
 
 36-969528 
 
 36-676332 
 
 i6-191414 
 
 35-814517 
 
 35-445391 
 
 35-083800 
 
 34-729515 
 
 34-382316 
 
 34-041994 
 
 33-708345 
 
 33-381176 
 
 33-060300 
 
 32-745537 
 
 32-436713 
 
 32-133663 
 
 31-836225 
 
 31-544246 
 
 31-257577 
 
 30-976074 
 
 30-699598 
 
 30-423017 
 
 30-161201 
 
 29-899026 
 
 29-641373 
 
 29-388124 
 
 29-139169 
 
 28-894398| 
 
 28-653708 
 
 Tang. 
 
 Cotang. 
 
 0194920 
 
 0197830 
 
 0200740 
 
 0203650 
 
 0206560 
 
 0209470 
 
 0212380 
 
 0215291 
 
 0218201 
 
 0221111 
 
 0224021 
 
 0226932 
 
 0229842 
 
 0232753 
 
 0235663 
 
 0238574 
 
 0241484 
 
 024439 
 
 024730 
 
 0250216 
 
 0253127 
 
 0256038 
 
 0258948 
 
 0261859 
 
 0264770 
 
 0267681 
 
 0270592 
 
 0273503 
 
 0276414 
 
 0279325 
 
 0282236 
 
 0285148 
 
 0288059 
 
 0290970 
 
 0293882 
 
 0296793 
 
 0299705 
 
 0302616 
 
 0305528 
 
 0308439 
 
 0311351 
 
 0314263 
 
 57-289962 
 56-350590 
 55-441517 
 54-561300 
 53-708587 
 52-882109 
 52-080673 
 
 51-303157 
 
 50-548506 
 
 49-815726 
 
 49-103881 
 
 48-412084 
 
 47-739501 
 
 47-085343 
 
 46-448862 
 
 15-82935 
 
 45-226141 
 
 44-638596 
 
 44-066113 
 
 43-508122 
 
 42-964077 
 
 42-43346 
 
 41-915790 
 
 41-410588 
 
 40-917412 
 
 40-43583 
 
 39-965460 
 
 39-50589 
 
 39-056771 
 
 38-617738 
 
 38-188459 
 
 37-768613 
 
 37-357892 
 
 36-956001 
 
 36-562659 
 
 36-177596 
 
 35-800553 
 
 35-431282 
 
 35-069546 
 
 34-715115 
 
 34-367771 
 
 34-027303 
 
 33-693509 
 
 33-366194 
 
 33-045173 
 
 32-730264 
 
 32-421295 
 
 32-118099 
 
 31-820516 
 
 Secant 
 
 1-0001523 
 1-0001574 
 1-0001627 
 1-0001679 
 1-0001733 
 1-0001788 
 1-0001843 
 
 Vers. 
 
 0001523 
 0001574 
 0001626 
 0001679 
 0001733 
 0001787 
 0001843 
 
 D Cosine 
 
 1-0001900 0001899 
 
 1-0001957 
 1-0002015 
 1-0002073 
 1-0002133 
 
 0001956 
 0002014 
 0002073 
 0002133 
 
 1-0002194 0002193 
 
 1-0002255 
 1-0002317 
 1-0002380 
 1-0002444 
 1-0002509 
 1-0002575 
 1-0002641 
 1-0002708 
 1-0002776 
 1-0002845 
 1-0002915 
 1-0002986 
 
 0002255 
 0002317 
 0002380 
 0002444 
 0002508 
 0002574 
 
 0002640 
 0002708 
 0002776 
 0002844 
 0002914 
 0002985 
 
 1-0003058 0003057 
 1-0003130 0003129 
 
 0317174 
 0320086 
 0322998 
 0325910 
 
 -528392 
 •241577 
 -959928 
 •683307 
 0328822i30-411580 
 144619 
 
 0331734 30 
 033464629 
 0337558'29' 
 0340471*29 
 0343383'29' 
 
 0346295 
 0349208 
 
 882299 
 624499 
 371106 
 12200." 
 877089 
 636253 
 
 decant jCotan. Tang. Cosec. Covers 
 
 1-0003203 
 1-0003277 
 1-0003352 
 1-0003428 
 1-0003505 
 1-0003582 
 1-0003660 
 
 0003202 
 0003276 
 0003351 
 0003427 
 0003503 
 000358 1 
 0003659 
 
 1-0003739 0003738 
 1-0003820 0003818 
 1-0003900 0003899 
 
 1-0003982 
 1-0004065 
 1-0004148 
 1-0004232 
 1-0004317 
 1-0004403 
 1-0004490 
 1-0004578 
 1-0004666 
 1-0004756 
 1-0004846 
 1-0004937 
 1-0005029 
 1-0005121 
 1-0005215 
 1-0005309 
 1 -0005405 
 1-0005501 
 1-0005598 
 1-0005696 
 1-0005794 
 1-0005894 
 1-0005994 
 1-0006095 
 
 0003980 
 0004063 
 0004146 
 0004230 
 0004316 
 0004401 
 0004488 
 0004576 
 0004664 
 0004753 
 0004843 
 0004934 
 
 0005026 
 0005119 
 0005212 
 0005307 
 0005402 
 0005498 
 0005595 
 0005692 
 0005791 
 0005890 
 0005991 
 0006092 
 
 9998477 
 9998426 
 9998374 
 9998321 
 9998267 
 9998213 
 9998157 
 
 9998101 
 9998044 
 9997986 
 9997927 
 9997867 
 9997807 
 9997745 
 9997683 
 9997620 
 9997556 
 9997492 
 9997426 
 9997360 
 9997292 
 9997224 
 9997156 
 9997086 
 9997015 
 9996943 
 9996871 
 9996798 
 9996724 
 9996649 
 9996573 
 9996497 
 9996419 
 9996341 
 9996262 
 9996182 
 9996101 
 9996020 
 9995937 
 9995854 
 9995770 
 9995684 
 9995599 
 9995512 
 9995424 
 9995336 
 9995247 
 9995157 
 9995066 
 9994974 
 9994881 
 9994788 
 9994693 
 9994598 
 9994502 
 9994405 
 9994308 
 9994209 
 9994110 
 9994009 
 9993908 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 17 
 16 
 15 
 14 
 13 
 12 
 1 
 
 10 
 9 
 
 I) Sine 
 
 Deg. 88. 
 
Deer. 
 
 LOG. SINES, Sec. 
 
 (251) 
 
 8ine Ditf. Cosec. Verseds. Tang. Dift; 
 
 1-2418553 
 1-2490332 
 !-2560943 
 1-2630424 
 1-2698810 
 1-2766136 
 t-2832434 
 1-2897734 
 1-2962067 
 !-3025460 
 1-3087941 
 1-3149536 
 1-3210269 
 1-3270163 
 •3329243 
 -3387529 
 1-3445043 
 1-3501805 
 1-3557835 
 1-3613150 
 1-3667769 
 1-3721710 
 1-3774988 
 1-3827620 
 1-3879622 
 1-3931008 
 1-3981793 
 1-4031990 
 1-408 i 61 4 
 1-4130676 
 1-4179190 
 
 1-4227168 
 1-4274621 
 1-4321561 
 1-4367999 
 1-4413944 
 1-4459409 
 1-4504402 
 1-4548934 
 1-4593013 
 1-4636649 
 !-4679850 
 !-4722626 
 !-4764984 
 (•4806932 
 1-4848479 
 i-4889632 
 i-4930398 
 i-4970784 
 5-5010798 
 1-5050447 
 i-5089736 
 J-5 128673 
 1-5 167264 
 3-5205514 
 J-5243430 
 )-5281017 
 5-5318281 
 J-5355228 
 5-5391863 
 3-5428192 
 
 Cosine 
 
 71779 
 70611 
 69481 
 68386 
 67326 
 66298 
 65300 
 64333 
 63393 
 62481 
 61595 
 60733 
 59894 
 
 59080 
 58286 
 57514 
 6762 
 56030 
 55315 
 54619 
 53941 
 53278 
 52632 
 52002 
 51386 
 50785 
 50197 
 49624 
 49062 
 48514 
 47978 
 47453 
 46940 
 46438 
 45945 
 45465 
 44993 
 44532 
 44079 
 43636 
 43201 
 12776 
 42358 
 41948 
 41547 
 41153 
 40766 
 40386 
 40014 
 39649 
 39289 
 38937 
 38591 
 38250 
 37916 
 37587 
 37264 
 36947 
 36635 
 36329 
 
 Diff. 
 
 7581447 
 7509668 
 7439057 
 7369576 
 7301190 
 7233864 
 7167566 
 7102266 
 7037933 
 6974540 
 6912059 
 6850464 
 6789731 
 
 6729837 
 
 66707li7 
 
 6612471 
 
 6554957 
 
 6498195 
 
 6442165 
 
 6386850 
 
 6332231 
 
 6278290 
 
 6225012 
 
 6172380 
 
 6120378 
 
 6068992 
 
 6018207 
 
 5968010 
 
 5918386 
 
 5869324J6' 
 
 5820810 6- 
 
 5772832 
 5725379 
 5678439 
 5632001 
 5586056 
 5540591 
 5495598 
 5451066 
 5406987 
 5363351 
 5320150 
 5277374 
 5235016 
 5193068 
 5151521 
 5110368 
 5069602 
 5029216 
 •4989202 
 4949653 
 4910264 
 •4871327 
 •4832736 
 •4794486 
 •4756570 
 •4718983 
 •4681719 
 •4644772 
 •4608137 
 •4571808 
 
 JSecant 
 
 •1827137 
 •1970705 
 •2111938 
 •2250912 
 •2387696 
 •2522360 
 •2654968 
 •2785581 
 •2914259 
 •3041058 
 •3166033 
 ■3289235 
 •3410714 
 •3530516 
 •3648689 
 •3765276 
 ■3880317 
 3993855 
 4105928 
 4216573 
 •4325826 
 4433722 
 4540294 
 •4645573 
 4749592 
 4852380 
 4953965 
 •5054376 
 ■5153639 
 •5251780 
 •5348825 
 
 5444797 
 5539720 
 5633616 
 5726509 
 6818418 
 5909365 
 5999369 
 6088450 
 6176626 
 6263916 
 6350337 
 6435907 
 6520642 
 6604558 
 66S7671 
 6769996 
 6851547 
 6932340 
 7012389 
 7091706 
 7170305 
 7248199 
 7325400 
 7401921 
 •7477774 
 7552970 
 •7627520 
 7701436 
 ■777472S 
 7847406 
 
 8-2419215 
 8-2491015 
 8-2561649 
 8-2631153 
 8-2699563 
 8-2766912 
 8-2833234 
 8-2898559 
 8-2962917 
 8-3026335 
 8-3088842 
 8-3150462 
 8-3211221 
 8-3271143 
 8-3330249 
 8-3388563 
 8-3446105 
 8-3502895 
 8-3558953 
 8-3614297 
 8-3668945 
 8-3722915 
 8-3776223 
 8-3828886 
 8-3880918 
 8-3932336 
 8-3983152 
 8-4033381 
 4083037 
 4132132 
 8-4180679 
 8-4228690 
 8-4276176 
 8-4323150 
 8-4369622 
 4415603 
 8-4461103 
 8-4506131 
 8-4550699 
 8-4594814 
 8-4638486 
 8-4681725 
 8-4724538 
 8-4766933 
 8-4808920 
 8-4850505 
 8-4891696 
 8-4932502 
 8-4972928 
 8-5012982 
 8-5052671 
 8-5092001 
 8-5130978 
 8-5169610 
 8-5207902 
 8-5245860 
 8-5283490 
 8-5320797 
 8-5357787 
 8-5394466 
 8-5430838 
 
 71800 
 70634 
 69504 
 68410 
 67349 
 66322 
 65325 
 64358 
 63418 
 62507 
 61620 
 60759 
 59922 
 59106 
 58314 
 57542 
 56790 
 56058 
 55344 
 54648 
 53970 
 53308 
 52663 
 52032 
 51418 
 50816 
 50229 
 49656 
 49095 
 48547 
 48011 
 
 47486 
 46974 
 46472 
 45981 
 45500 
 45028 
 44568 
 44115 
 43672 
 43239 
 42813 
 42395 
 41987 
 41585 
 41191 
 40806 
 40426 
 40054 
 39689 
 39330 
 38977 
 38632 
 38292 
 37958 
 37630 
 37307 
 36990 
 36679 
 36372 
 
 Covers. Cotang. DifF. 
 
 Cotang. 
 
 1175807B5 
 11-7508985 
 ll-74383f51 
 11-7368847 
 11-7300437 
 11-7233088 
 11-7166766 
 11-7101441 
 11-7037083 
 11-6973665 
 11-6911158 
 11-6849538 
 11-6788779 
 11-6728857 
 11-6669751 
 11-6611437 
 11-6563895 
 11-6497105 
 11-6441047 
 11-6386703 
 11-6331065 
 11-6277085 
 11-6223777 
 11-6171114 
 11-6119082 
 11-6067664 
 11-6016848 
 11-5966619 
 11-5916963 
 1 1 -5867868 
 11-5819321 
 11-5771310 
 11-5723824 
 11-5676850 
 11-5630378 
 11-6584397 
 11-5538897 
 
 Covers. 
 
 9-9923536 
 9-9922250 
 9-9920964 
 9-9919678 
 9-9918391 
 9-9917104 
 9-9916816 
 9-9914528 
 9-9913240 
 9-9911951 
 9-9910662 
 9-9909372 
 9-9908082 
 9-9906792 
 9-9905501 
 9-9904210 
 9-9902919 
 9-9901627 
 9-9900335 
 9-9899043 
 9-9897750 
 9-9896457 
 9-9895163 
 
 9893869 
 9-9892575 
 9-9891280 
 9-9889985 
 9-9888689 
 
 9887393 
 9-9886097 
 9-9884801 
 9-9883503 
 9-9882206 
 9-9880908 
 9-9879610 
 9-9878312 
 9-9877013 
 
 ISecant D Cosin 
 
 11-5493869 9-9875713 
 11-54493019-9874414 
 11-5405186 9-9873114 
 11-53615149-9871813 
 
 11-6318275 
 11 •6275462 
 
 11-5233067 
 11-5191080 
 11-5149495 
 11-5108304 
 11-5067498 
 11-5027072 
 11-4987018 
 11-4947329 
 11-4907999 
 11-4869022 
 11-4830390 
 11-4792098 
 
 9-9870513 
 9-9869211 
 
 9867910 
 ■9866608 
 •9865306 
 •9864003 
 •9862700 
 •9861396 
 •9860093 
 •9858788 
 •9857484 
 •9866179 
 •9854873 
 •9853568 
 11-475414019-9852262 
 
 11-4716510 
 11-4679203 
 11-4642213 
 11-4606534 
 
 9-9850'955 
 9-9849648 
 9-9848341 
 9-9847033 
 
 -4669162 9-9846/ 
 
 10-0000662 
 10-0000684 
 10-0000706 
 10-0000729 
 10-0000753 
 10-0000776 
 10-0000800 
 10-0000825 
 10-0000850 
 10-0000875 
 10-0000900 
 10-0000926 
 10-0000953 
 10-0000979 
 10-0001006 
 10-0001034 
 10-0001061 
 10-0001089 
 10-C00I118 
 10-0001147 
 10-0001176 
 10^0001206 
 10-0001236 
 10-0001266 
 10-0001297 
 10-0001328 
 10-0001359 
 10-0001391 
 10-0001423 
 10-0001456 
 10-0001488 
 10-0001622 
 10-0001655 
 10-0001689 
 10-0001624 
 10-0001658 
 10-0001694 
 10-0001729 
 10-0001765 
 10-0001801 
 10-0001838 
 10-0001875 
 10-0001912 
 
 10-0001950 
 10-0001988 
 10-0002026 
 10-0002065 
 10-0002104 
 10-0002144 
 10-0002183 
 10-0002224 
 10-0002264 
 10'0002305 
 10-0002347 
 10-0002388 
 10-0002430 
 10-0002473 
 10-0002516 
 10-0002559 
 10-0002602 
 10-0002646 
 
 rang. I Verseds. Cosec. D 8ine 
 
 9-9999338 
 9-9999316 
 9-9999294 
 9-9999271 
 9-9999247 
 9-9999224 
 
 9999200 
 9-9999176 
 9-9999160 
 9-9999125 
 9-9999100 
 9-9999074 
 9-9999047 
 9-9999021 
 9-9998994 
 9-999S96G 
 9-9998939 
 9-9998911 
 9-9998882 
 
 9998853 
 9-9998824 
 
 9998794 
 9-9998764 
 9-9998734 
 9-9998703 
 9-9998672 
 9-9998641 
 9-9998609 
 9-9998577 
 9-9998644 
 9-9998512 
 
 9-9998478 
 9-9998445 
 9-9998411 
 9-9998376 
 9-9998342 
 9-9998306 
 9-9998271 
 9-9998235 
 9-9998199 
 9-9998162 
 9-9998125 
 9-9998088 
 9-9998050 
 9-9998012 
 9-9997974 
 9-9997935 
 9-9997896 
 9-9997356 
 
 9997817 
 9-9997776 
 9-9997736' 
 9-9997695 
 9-9997653 
 9-9997612 
 9-9997570 
 9-9997527 
 9-9997484 
 9-9997441 
 9^9997398 
 9-9997354 
 
 3 K2 
 
 Di^g. 88. 
 
(252) 2 Deg. NATURAL SINES, &C. 
 
 Tab. 10. 
 
 y35190'i 
 0354809 
 ):i577lG 
 036O6"23 
 0363530 
 0366437 
 0369344 
 0372251 
 0375158 
 10 037»065 
 
 Sine 
 
 DitXovers 
 
 0380971 
 0383878 
 0386785 
 0389692 
 0392598 
 0395505 
 0398411 
 0401318 
 0404224 
 0407131 
 0410037 
 0412944 
 0415850 
 0418757 
 0421663 
 0424569 
 270427475 
 
 28 0430382 
 
 29 0433288 
 
 30 0436194 
 0439100 
 0442006 
 0444912 
 044781 
 0450724 
 0453630 
 0456536 
 0459442 
 0462347 
 0465253 
 0468159 
 0471065 
 0473970 
 0476876 
 0479781 
 0482687 
 0485592 
 
 2907 
 2907 
 ^907 
 2907 
 2907 
 2907 
 2907 
 2907 
 2907 
 2907 
 2906 
 2907 
 2907 
 2907 
 2906 
 2907 
 2906 
 2907 
 2906 
 
 2907 
 
 Cosec. 
 
 0488498 
 49|0491403 
 
 0494308 
 0497214 
 0500119 
 0503024 
 :0505929 
 0508835 
 0511740 
 0514645 
 0517550 
 0520455 
 0523360 
 
 2907 
 2906 
 2907 
 2906 
 
 2906 
 
 2906 
 
 2907 
 
 2906 
 
 2906 
 
 2906 
 
 2906 
 
 2906 
 
 2906 
 
 2906 
 
 2906 
 
 2906 
 
 2906 
 
 2905 
 
 2906 
 
 2906 
 
 2906 
 
 2905 
 
 2906 
 
 290 
 
 2906 
 
 290 
 
 2906 
 
 2905 
 
 290 
 
 2906 
 
 2905 
 
 2905 
 
 290 
 
 2906 
 
 2905 
 
 2905 
 
 2905 
 
 2905 
 
 2905 
 
 9651005 
 9648098 
 9645191 
 9642284 
 9639377 
 9636470 
 9633563 
 9630656 
 9627749 
 9624842 
 9621935 
 9619029 
 9616122 
 
 9613215 
 9610308 
 9607402 
 9604495 
 9601589 
 9598682 
 9595776 
 9592869 
 9589963 
 9587056 
 9584150 
 9581243 
 
 9578337 
 9575431 
 9572525 
 9569618 
 9566712 
 9563806 
 9560900 
 9557994 
 9555088 
 9552182 
 9549276 
 9546370 
 9543464 
 9540558 
 9537653 
 9534747 
 9531841 
 9528935 
 9526030 
 9523124 
 9520219 
 9517313 
 9514408 
 9511502 
 9508597 
 9505692 
 
 1 ang. 1 Cotang. 
 
 28-653708 
 28-416997 
 28-184168 
 27-955125 
 27-729777 
 27-508035 
 27-289814 
 
 27-075030 
 26-863603 
 26-655455 
 6-450510 
 26-248694 
 26-049937 
 25-854169 
 25-661324 
 25-471337 
 25-284144 
 25-09968 
 24-917900 
 24-738731 
 24-562123 
 24-388020 
 24-216370 
 24-047121 
 23-880224 
 
 23-715630 
 
 23-553291 
 
 23-393161 
 
 23-235196 
 
 23-079351 
 
 22-925586 
 
 22-773857 
 
 22-624126 
 
 22-476353 
 
 22-330499 
 
 22-186528 
 
 22-044403 
 
 21-904090 
 
 21-7655 
 
 21-628759 
 
 21-493676 
 
 21-360272 
 
 21-228515 
 
 21-098376 
 
 20-969824 
 
 20-842830 
 
 20-717368 
 
 20-593409 
 
 20-470926 
 
 20-349893 
 
 20-230284 
 
 0349208J28 636253 
 0352120 28-399397 
 0355033 28-166422 
 
 k5ecaat 
 
 9502786 20-112075 
 
 9499881 
 9496976 
 9494071 
 9491165 
 9488260 
 9485355 
 9482450 
 9479545 
 9476640 
 
 19-995241 
 19-879768 
 19-765604 
 19-652754 
 19-541187 
 19-430882 
 19-321816 
 19-213970 
 19-107323 
 
 0357945 
 0360853 
 0363771 
 0366683 
 0369596 
 0372509 
 0375422 
 0378335 
 0381248 
 0384161 
 0387074 
 0389988 
 0392901 
 0395814 
 0398728 
 0401641 
 0404555 
 0407469 
 0410383 
 0413296 
 0416210 
 0419124 
 
 0422038 
 0424952 
 0427866 
 0430781 
 0433695 
 0436609 
 0439524 
 0442438 
 0445353 
 0448268 
 0451183 
 0454097 
 0457012 
 0459927 
 0462842 
 0465757 
 0468673 
 0471588 
 0474503 
 0477419 
 0480334 
 0483250 
 0486166 
 0489082 
 0491997 
 0494913 
 0497829 
 0500746 
 0503662 
 0506578 
 0509495 
 0512411 
 0515328 
 0518244 
 0521161 
 0524078 
 
 27-937233 
 27-711740 
 27-489853 
 27-271486 
 27-056557 
 26-844984 
 26-636690 
 26-431600 
 26-229638 
 26-030736 
 
 25-834823 
 
 25-641832 
 
 25-451700 
 
 25-264361 
 
 25-07975 
 
 24-897826 
 
 24-718512 
 
 24-541758 
 
 24-367509 
 
 24-195714 
 
 24-026320 
 
 23-859277 
 
 23-694537 
 23-532052 
 23-371777 
 23-213666 
 23-057677 
 22-903766 
 22-751892 
 22-602015 
 22-454096 
 22-308097 
 22-163980 
 22-021710 
 21-881251 
 21-742569 
 21-605630 
 21-470401 
 21-336851 
 21-204949 
 21-074664 
 20-945966 
 20-818828 
 20-693220 
 20-569115 
 20-446486 
 
 20-325308 
 20-205553 
 20-087199 
 19-970219 
 19-864591 
 19-740291 
 19-627296 
 19-515584 
 19-405133 
 19-295922 
 19-187930 
 19-081137 
 
 Vers. 
 
 l-00Cii095 
 1-0006198 
 1 -0006300 
 0006404 
 1-0006509 
 1-0006614 
 1-0006721 
 
 1-0006828 
 1-0006936 
 1-0007045 
 1-0007154 
 1-0007265 
 1-0007376 
 1-0007489 
 1-0007602 
 1-0007716 
 1-0007830 
 1-0007946 
 1-0008063 
 1-0008180 
 1-0008298 
 1-0008417 
 1-0008537 
 1-0008658 
 1-0008779 
 1-0008902 
 1-0009025 
 1-0009149 
 1-0009274 
 1-0009400 
 1-0009527 
 1-0009654 
 1-0009783 
 1-0009912 
 1-0010042 
 1-0010173 
 1-0010305 
 
 D 
 
 " *' '-'v^iV' tjtu/o^O -JO^Hyt fj lif'VOl 1.0/ 1-UUIO/ ^O ».'U10/V't> ./^uvj^^y 
 
 , MCosine Dif.| Vers Seca nt CotanT TangT Cosec. Covers P" Sine 
 
 Dcg. 87 
 
 1-0010438 
 1-0010571 
 1-0010706 
 1-0010841 
 1-0010977 
 1-0011114 
 
 1-0011251 
 1-0011390 
 1-0011529 
 1-0011670 
 1-0011811 
 1-0011953 
 1-0012096 
 1-0012239 
 1-0012384 
 1-0012529 
 1-0012676 
 1-0012823 
 
 1-001297 
 
 1-0013120 
 
 1-0013269 
 
 1-0013420 
 
 1-0013571 
 
 1-0013723 
 
 0006092 
 
 0006194 
 
 0006296 
 
 0006400 
 
 0006505 
 
 0006610 
 
 0006716 
 
 0006823 
 
 0006931 
 
 0007040 
 
 0007149 
 
 0007260 
 
 0007371 
 
 0007483 
 
 0007596 
 
 0007710 
 
 0007824 
 
 0007940 
 
 0008056 
 
 0008173 
 
 0008291 
 
 0008410 
 
 0008530 
 
 0008650 
 
 0008772 
 
 0008894 
 
 0009017 
 
 0009141 
 
 0009266 
 
 0009391 
 
 0009518 
 
 0009645 
 
 0009773 
 
 0009902 
 
 0010032 
 
 0010163 
 
 0010294 
 
 0010427 
 
 0010560 
 
 0010694 
 
 00-10829 
 
 0010965 
 
 0011101 
 
 0011239 
 
 0011377 
 
 0011516 
 
 0011656 
 
 0011797 
 
 0011939 
 
 0012081 
 
 0012225 
 
 0012369 
 
 0012514 
 
 0012660 
 
 0012806 
 
 0012954 
 0013102 
 0013252 
 0013402 
 0013553 
 0013705 
 
 Cosine 
 
 102 
 
 102 
 
 104 
 
 105 
 
 105 
 
 106 
 
 107 
 
 108 
 
 109 
 
 109 
 
 111 
 
 111 
 
 112 
 
 113 
 
 114 
 
 114 
 
 116 
 
 116 
 
 117 
 
 118 
 
 119 
 
 120 
 
 120 
 
 122 
 
 122 
 
 123 
 
 124 
 
 125 
 
 125 
 
 127 
 
 127 
 
 128 
 
 129 
 
 130 
 
 131 
 
 131 
 
 133 
 
 133 
 
 134 
 
 135 
 
 136 
 
 136 
 
 138 
 
 138 
 
 139 
 
 140 
 
 141 
 
 142 
 
 142 
 
 144 
 
 144 
 
 145 
 
 146 
 
 146 
 
 148 
 
 148 
 150 
 150 
 151 
 152 
 
 9993908 
 9993806 
 9993704 
 9993600 
 9993495 
 9993390 
 9993284 
 9993177 
 9993069 
 9992960 
 9992851 
 9992740 
 9992629 
 
 9992517 
 9992404 
 9992290 
 9992176 
 9992060 
 9991944 
 
 9991827 
 
 9991709 
 
 9991590 
 
 9991470 
 
 9991350 
 
 9991228 
 
 9991106 
 
 9990983 
 
 9990859 
 
 9990734 
 
 9990609 
 
 9990482 
 
 999035 
 
 9990227 
 
 9990098 
 
 9989968 
 
 9989837 
 
 9989706 
 
 9989573 
 
 9989440 
 
 9989306 
 
 9989171 
 
 9989035 
 
 9988899 
 
 9988761 
 
 9988623 
 
 9988484 
 
 9988344 
 
 9988203 
 
 9988061 
 
 9987919 
 
 9987775 
 
 9987631 
 
 9987486 
 
 9987340 
 
 9987194 
 
 9987046 
 9986898 
 9986748 
 9986598 
 9986447 
 9986295 
 
 0/ 
 
 56 
 
 55 
 
 54 
 
 53 
 
 52 
 
 51 
 
 50 
 
 49 
 
 48 
 
 47 
 
 46 
 
 45 
 
 44 
 
 43 
 
 42 
 
 41 
 
 40 
 
 39 
 
 38 
 
 37 
 
 36 
 
 35 
 
 34 
 
 33 
 
 32 
 
 31 
 
 30 
 
 29 
 
 28 
 
 27 
 
 26 
 
 25 
 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 
 19 
 
 18 
 
 17 
 
 16 
 
 15 
 
 14 
 
 13 
 
 12 
 
 i: 
 
 10 
 9 
 8 
 7 
 6 
 5 
 4 
 3 
 2 
 1 
 
 
2 Deg. 
 
 lOG. SINES, &C. 
 
 {^53) 
 
 ' Sine Diff. 
 
 8-5428192 
 8-5464218 
 8-5499948 
 8-5535386 
 8-5570536 
 8-5605404 
 8-5639994 
 8-5674310 
 8-5708357 
 8-5742139 
 8-5775660 
 8-5808923 
 5841933 
 8-5874694 
 8-5907209 
 8-5939483 
 8-5971517 
 8-6003317 
 8-6034886 
 8-6066226 
 8-6097341 
 8-6128235 
 8-6158910 
 8-6189369 
 8-6219616 
 
 8-6249653 
 8-6279484 
 8-6309111 
 8-6338537 
 8-6367764 
 S'6396796 
 8-6425634 
 8-6454282 
 8-6482742 
 8-6511016 
 8-6539107 
 8-6567017 
 8-6594748 
 8-6622303 
 8-6649684 
 8-6676893 
 8-6703932 
 8-6730804 
 8-6757510 
 8-6784052 
 8-6810433 
 8-6836654 
 8-6862718 
 8-6888625 
 
 6914379 
 8-6939980 
 
 6965431 
 8-6990734 
 8-7015889 
 8-7040899 
 
 7065766 
 8-7090490 
 3-7115075 
 8-7139520 
 8-7163829 
 8-7188002 
 
 Cosine DifF. 
 
 36026 
 35730 
 35438 
 35150 
 34868 
 34590 
 34316 
 
 34047 
 33782 
 33521 
 33263 
 33010 
 32761 
 32515 
 32274 
 32034 
 31800 
 31569 
 3 J 340 
 31115 
 30894 
 30675 
 30459 
 30247 
 30037 
 29831 
 29627 
 29426 
 29227 
 29032 
 28838 
 28648 
 28460 
 28274 
 28091 
 27910 
 27731 
 27555 
 27381 
 27209 
 27039 
 26872 
 26706 
 26542 
 26381 
 26221 
 26064 
 25907 
 25754 
 25601 
 25451 
 25303 
 25155 
 25010 
 24867 
 24724 
 24585 
 24445 
 24309 
 24173 
 
 Cosec. 
 
 1-4571808 
 1-4535782 
 1-4500052 
 1-4464614 
 1-4429464 
 1-4394596 
 1-4360006 
 1-4325690 
 1-4291643 
 1-4257861 
 1-4224340 
 1-4191077 
 1-4158067 
 1-4125306 
 1-4092791 
 1-4060517 
 1-4028433 
 1-3996683 
 1-3965114 
 1-3933774 
 1-3902659 
 1-3871765 
 1-3841090 
 1-3810631 
 1-3780384 
 1-3750347 
 1-3720516 
 1 -3690889 
 1-3661463 
 1-3632236 
 1-3603204 
 1-3574366 
 1-3545718 
 1-3517258 
 1-3488984 
 1-3460893 
 1-3432983 
 1-3405252 
 1-3377697 
 1-3350316 
 1-3323107 
 1-3296068 
 1-3269196 
 1-3242490 
 1-3215948 
 1-3189567 
 1-3163346 
 1-3137282 
 1-3111375 
 1-3085621 
 1-3060020 
 1-3034569 
 1-3009266 
 1-2984111 
 1-2959101 
 1-2934234 
 1-2909510 
 1-2884925 
 1-2860480 
 1-2836171 
 1-2811998 
 
 Secant 
 
 Verseds 
 
 6-7847406 
 
 6-7919481 
 
 6-7990963 
 
 6-8061861 
 
 6-8132185 
 
 6-8201944 
 
 6-8271147 
 
 6-8339803 
 
 6-8407920 
 
 6-8475507 
 
 6-8542572 
 
 6-8609123 
 
 6-867516 
 
 6-8740714 
 
 6-8805768 
 
 6-8870340 
 
 6-8934434 
 
 6-8998059 
 
 6-9061221 
 
 6-9123927 
 
 6-9186183 
 
 6-9247996 
 
 6-9309372 
 
 6-9370317 
 
 6-9430837 
 
 9490939 
 
 6-9550627 
 
 6-9609907 
 
 6-966S7S6 
 
 6-9727268 
 
 6-9785359 
 
 6-9843063 
 
 6-9900387 
 
 6-9957334 
 
 7-0013911 
 
 7-0070121 
 
 7-0125969 
 
 7-0181461 
 
 7-0236600 
 
 7-029139] 
 
 7-0345838 
 
 7-0399946 
 
 7-0453719 
 
 0507161 
 
 7-0560276 
 
 0613068 
 
 7-0665540 
 
 7-0717698 
 
 7-0769544 
 
 7-0821082 
 
 7-0872316 
 
 7-0923249 
 
 7-0973885 
 
 1024228 
 
 1074280 
 
 1124045 
 
 1173527 
 
 1222728 
 
 1271652 
 
 1320302 
 
 1368680 
 
 Cover: 
 
 lang. 
 
 1-5430838 
 1-5466909 
 1-5502683 
 1-5538166 
 1-5573362 
 1-5608276 
 1-5642912 
 
 1-5577275 
 1-5711368 
 :-5745197 
 •5778766 
 •5812077 
 -5845136 
 •5877945 
 -5910509 
 -5942832 
 -5974917 
 •6006767 
 -6038386 
 
 ■6069777 
 
 :-6l00943 
 
 •6131889 
 
 •6i626l6 
 
 •6193127 
 
 •6223427 
 
 •6253518 
 
 •6283402 
 
 -6313083 
 
 •6342563 
 
 •6371845 
 
 •6400931 
 
 -6429825 
 
 -6-158528 
 
 -6487044 
 
 -651537 
 
 •6543522 
 
 •6571490 
 
 •6599279 
 
 •6626891 
 
 •6654331 
 
 •6681598 
 
 •6708697 
 
 •6736628 
 
 •6762393 
 
 •6788996 
 
 •6815437 
 
 -6841719 
 
 -6867844 
 
 •6893813 
 
 •6919629 
 
 •6945292 
 
 -6970806 
 
 -6996172 
 
 •7021390 
 
 -7046465 
 
 -7071395 
 
 •7096185 
 
 -7120834 
 
 •7145345 
 
 •7169719 
 
 •7193958 
 
 Diff. 
 
 36071 
 35774 
 35483 
 35196 
 M914 
 34636 
 34363 
 34093 
 33829 
 33569 
 33311 
 33059 
 32809 
 32564 
 32323 
 32085 
 31850 
 1619 
 31391 
 
 31166 
 30946 
 30727 
 30511 
 30300 
 30091 
 29884 
 29681 
 29480 
 29282 
 29086 
 28894 
 28703 
 28516 
 28331 
 28147 
 27968 
 27789 
 27612 
 27440 
 27267 
 27099 
 26931 
 26765 
 
 26603 
 
 26441 
 
 26282 
 
 26125 
 
 25969 
 
 25816 
 
 25663 
 
 25514 
 
 25366 
 
 2521 
 
 25075 
 
 24930 
 
 24790 
 
 24649 
 
 24511 
 
 243/4 
 
 24239 
 
 Cotang. 
 
 Cotang. Diff'. Tang 
 
 lb456916y 
 
 11-4533091 
 
 11-4497317 
 
 11-4461834 
 
 11-4426638 
 
 11-4391724 
 
 U-4357088 
 
 11-4322725 
 
 11-4288632 
 
 I] -4254803 
 
 lb4221234 
 
 11 •4187923 
 
 11-4154864 
 
 1 1^412205 
 
 11^4089491 
 
 11 •4057 168 
 
 11-4025083 
 
 11-3993233 
 
 11-3961614 
 
 11-3930223 
 
 11-3899057 
 
 11-3868111 
 
 11-3837384 
 
 11-3806873 
 
 11-3776573 
 
 11-3746482 
 
 11-3716598 
 
 11-3686917 
 
 11-3657437 
 
 11^3628155 
 
 1P3599069 
 
 11-3570175 
 
 11-3541472 
 
 11-3512956 
 
 11-3484625 
 
 11-3456478 
 
 11-3428510 
 
 11-3400721 
 
 11-3373109 
 
 11-3345669 
 
 11-3318402 
 
 11-3291303 
 
 11-3264372 
 
 11-3237607 
 11-3211004 
 11 •SI 84563 
 1P3168281 
 lb3132156 
 11^3106187 
 11 •3080371 
 11-3054708 
 11-3029194 
 11-3003828 
 Ib29786l0 
 11^2953535 
 11-2928605 
 11-2903815 
 11-2879166 
 11-2854655 
 11-2830281 
 11-2806042 
 
 Covers. Secant. D Cosine 
 
 9-9845725 
 
 9-9844417 
 
 9-9843108 
 
 9-9841799 
 
 9-9840490 
 
 9-9839180 
 
 9-9837869 
 
 9-9836559 
 
 9-9835248 
 
 9-9833936 
 
 9-9832624 
 
 9-9831312 
 
 9-9830000 
 
 9-9828687 
 
 9-9827373 
 
 -9826060 
 
 -9824745 
 
 -9823431 
 
 -9822116 
 
 -9820801 
 
 -9819485 
 
 -9818169 
 
 -9816853 
 
 -9815536 
 
 •9814219 
 
 -9812901 
 
 •9811583 
 
 ■9810265 
 
 •9808946 
 
 •9807627 
 
 •9806308 
 
 ■9804988 
 
 •9803668 
 
 •9802347 
 
 •9801026 
 
 •9799704 
 
 •9798383 
 
 ■9797061 
 
 •9795738 
 
 •9794415 
 
 •9793092 
 
 •9791768 
 
 •9790444 
 
 ■9789119 
 
 •9787795 
 
 9786469 
 
 9785144 
 
 9783818 
 
 9782491 
 
 9781164 
 
 9779837 
 
 9778510 
 
 9777 182 
 
 9775853 
 
 9774525 
 
 9773195 
 
 9771866 
 
 9770536 
 
 9769206 
 
 9767S75 
 
 9766544 
 
 10-0002646 
 10-0002691 
 10-0002735 
 10-0002780 
 10-0002826 
 10-0002872 
 10-0002918 
 10-0002964 
 10-0003011 
 10-0003058 
 10-0003106 
 10-0003154 
 10-0003202 
 
 Verseds. 
 
 10-0003251 
 10-0003300 
 10-0003350 
 10-0003399 
 10-0003450 
 10-0003500 
 10-0003551 
 10-0003602 
 10-0003654 
 10-0003706 
 10-0003758 
 10-0003811 
 10-0003864 
 10-0003918 
 10-0003972 
 10-0004026 
 10-0004081 
 10-0004135 
 10-0004191 
 10-0004247 
 10-0004303 
 10-0004359 
 10-0004416 
 10-0004473 
 10-0004531 
 10-0004589 
 10-0004647 
 10-0004705 
 10-0004764 
 10-0004824 
 10-0004884 
 10-0004944 
 10-0005004 
 10-0005065 
 10-0005126 
 10-0005188 
 10-0005250 
 10-0005312 
 10-0005375 
 10-0006438 
 10-0005502 
 10-0005565 
 10-0005630 
 10-0005694 
 10-0006759 
 10-0005824 
 10-0005890 
 10-0005956 
 
 Cosec. 
 
 9997364 
 
 9997309 
 
 9997265 
 
 9997220 
 
 9997174 
 
 9997128 
 
 9997082 
 
 •9997036 
 
 •9996989 
 
 9996942 
 
 9996894 
 
 99968-16 
 
 9996798 
 
 9996749 
 
 9-9996700 
 
 9-9996660 
 
 9-9996601 
 
 9-9996560 
 
 9-9996600 
 
 9-9996449 
 
 9-9996398 
 
 9996346 
 
 9-9996294 
 
 9-9996242 
 
 9-9996189 
 
 9-9996136 
 
 9-9996082 
 
 9-9996028 
 
 9-9995974 
 
 9-9995919 
 
 9-9995866 
 
 9-9995809 
 
 9-9995753 
 
 9,-9995697 
 
 9-9996641 
 
 9-9995684 
 
 9-9996527 
 
 9-9995469 
 
 9-9995411 
 
 9-9995353 
 
 9-9995296 
 
 9-9996236 
 
 9-9996176 
 
 9-9996116 
 9-9996056 
 9-9994996 
 9-9994936 
 9-9994874 
 9-9994812 
 9-9994750 
 
 9994688 
 9-9994625 
 9-9994662 
 9-9994498 
 9-9994436 
 9-9994370 
 9-9994306 
 9-9994241 
 
 9994176 
 9-9994110 
 9-9994044 
 
 D 
 
 60 
 
 59 
 58 
 
 57 
 56 
 65 
 54 
 63 
 62 
 61 
 50 
 49 
 48 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 17 
 16 
 16 
 14 
 13 
 12 
 11 
 10 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 
 4 
 
 Sine 
 
 Deg, S7. 
 
(254) • 3 Peg. NAtURAL SINES, &c. Tab. 10. 
 
 Sine Dif. Covers Cosec 
 
 0b'2:i3H0 
 0526'2G4 
 0529169 
 0532074 
 0534979 
 0537883 
 0540788 
 0543693 
 0546597 
 0549502 
 0552406 
 0555311 
 0558215 
 0561119 
 0564024 
 0566928 
 0569832 
 0572736 
 0575640 
 0578544 
 0581448 
 0584352 
 0587256 
 0590160 
 0593064 
 
 0595967 
 26|0598871 
 0601775 
 0604678 
 0607582 
 0610485 
 0613389 
 0616292 
 0619196 
 0622099 
 0625002 
 0627905 
 0630808 
 0633711 
 0636614 
 0639517 
 0642420 
 0645323 
 0648226 
 0651129 
 0654031 
 0656934 
 0659836 
 0662739 
 0665641 
 0668544 
 0671446 
 0674349 
 0677251 
 0680153 
 0683055 
 0685957 
 0688859 
 0691761 
 0694663 
 0697565 
 
 Cosine 
 
 2904 
 
 2905 
 
 2905 
 
 2905 1 
 
 29041 
 
 2905 
 
 2905 
 
 2904 
 
 2905 
 
 2904 
 
 2905 
 
 2904 
 
 2904 
 
 2905 
 
 2904 
 
 2904 
 
 2904 
 
 2904 
 
 2904 
 
 2904 
 
 2904 
 
 2904 
 
 2904 
 
 2904 
 
 2903 
 
 2904 
 
 2994 
 
 2903 
 
 2904 
 
 2903 
 
 2904 
 
 2903 
 
 2904 
 
 2903 
 
 2903 
 
 2903 
 
 2903 
 
 2903 
 
 2903 
 
 2903 
 
 2903 
 
 2903 
 
 2903 
 
 2903 
 
 2902 
 
 2903 
 
 2902 
 
 2903 
 
 2902 
 
 2903 
 2902 
 2903 
 2902 
 2902 
 2902 
 2902 
 2902 
 2902 
 2902 
 2902 
 
 Dit 
 
 9476640 
 9473736 
 9470831 
 9467926 
 19465021 
 19462117 
 [9459212 
 
 9456307 
 9453403 
 9450498 
 9447594 
 9444689 
 9441785 
 9438881 
 9435976 
 9433072 
 9430168 
 9427264 
 9424360 
 9421456 
 9418552 
 9415648 
 9412744 
 9409840 
 9406936 
 9404033 
 9401169 
 9398225 
 9395322 
 9392418 
 9389515 
 9386611 
 9383708 
 9380804 
 9377901 
 9374998 
 9372095 
 9369192 
 9366289 
 9363386 
 9360483 
 9357580 
 9354677 
 9351774 
 9348871 
 9345969 
 9343066 
 9340164 
 9337261 
 9334359 
 9331456 
 9328,554 
 9325651 
 9322749 
 9319847 
 9316945 
 9314043 
 9311141 
 9308239 
 9305337 
 9302435 
 
 Vers. 
 
 19-107323 
 19-001854 
 18-897545 
 18-794377 
 18-692330 
 18-591387 
 18-491530 
 18-392742 
 18-295005 
 18-198303 
 18-102619 
 18-007937 
 17-914243 
 17-821520 
 17-729753 
 17-638928 
 17-549030 
 17-460046 
 17-371960 
 17-284761 
 17-198434 
 17-112966 
 17-028346 
 16-944559 
 16-861594 
 16-779439 
 16-698082 
 16-617512 
 16-537717 
 16-458686 
 16-380408 
 16-302873 
 16-226069 
 16-149987 
 16-074617 
 15-999948 
 15-925971 
 15-852676 
 15-780054 
 15-708096 
 15-636793 
 15-566135 
 15-496114 
 16-426721 
 15-357949 
 15-289788 
 15-222231 
 5-155270 
 15-088896 
 15-023103 
 14-967882 
 14-893226 
 14-829128 
 14-765580 
 14-702576 
 4-640109 
 14-578172 
 14-516757 
 14-455859 
 14-395471 
 14-335587 
 
 Tang. Cotang. 
 
 Secant 
 
 0524078 
 0526995 
 0529912 
 0532829 
 0535746 
 0538663 
 0541581 
 0544498 
 0547416 
 0550333 
 0553251 
 0556169 
 0559087 
 0562005 
 0564923 
 0567841 
 0570759 
 0573678 
 0576596 
 0579515 
 0582434 
 0585352 
 0588271 
 0591190 
 0594109 
 0597029 
 0599948 
 0602867 
 0605787 
 0608706 
 0611626 
 0614546 
 0617466 
 0620386 
 
 0626226 
 0629147 
 0632067 
 0634988 
 
 19-081137 
 18-975523 
 18-871068 
 18-767754 
 18-665562 
 18-564473 
 18-464471 
 18-365637 
 18-267654 
 18-170807 
 18-074977 
 17-980150 
 17-886310 
 17-793442 
 17-701529 
 17-610559 
 17-520516 
 17-431385 
 17-343155 
 17-255809 
 17-169337 
 17-083724 
 16-998957 
 16-915025 
 16-831915 
 16-749614 
 16-668112 
 16-587396 
 16-507456 
 16-428279 
 16-349855 
 16-272174 
 16-195225 
 16-118998 
 
 Secant Vers. D, Cosine 
 
 062330616-043482 
 
 15-968667 
 15-894545 
 15-821105 
 
 15-748337 
 
 0637908| 16-676233 
 0640829,16-604784 
 
 0643750 
 0646671 
 0649592 
 0652513 
 0656436 
 0658356 
 0661278 
 0664199 
 0667121 
 0670043 
 0672965 
 0675887 
 0678809 
 0681732 
 
 16-533981 
 15-463814 
 16-394276 
 15-325358 
 15-257052 
 16-189349 
 15-122242 
 15-056723 
 14-989784 
 14-924417 
 14-859616 
 14-795372 
 14-731679 
 14-668629 
 
 0684654:14-606916 
 
 068757714-543833 
 0690499114-482273 
 069342214-421230 
 0696345 14-360696 
 0699263 14-300666 
 
 Cotan.l Tang. 
 
 1-0013723 
 1-0013877 
 1 -00 14030 
 1-0014185 
 1-0014341 
 1-0014497 
 1-0014655 
 1-0014813 
 1-0014972 
 1-0015132 
 1-0015293 
 1-00 15454 
 1-0015617 
 1-0015780 
 1-0015944 
 1-0016109 
 1-0016275 
 1-0016442 
 1-0016609 
 1-0016778 
 1-0016947 
 1-0017117 
 1-0017288 
 1-0017460 
 1-0017633 
 1-0017806 
 1-0017981 
 1-0018156 
 1-0018332 
 1-0018509 
 1-0018687 
 1-0018866 
 1-0019046 
 1-0019225 
 1-0019407 
 1-0019589 
 1-0019772 
 1-0019956 
 1-0020140 
 1-0020326 
 1-0020512 
 1 -0020699 
 1-0020887 
 1-0021076 
 1-0021266 
 1-0021457 
 1-0021648 
 1-0021841 
 1-0022034 
 1-0022228 
 1-0022423 
 1-0022619 
 1-0022815 
 1-0023013 
 1-0023211 
 
 1-0023410 
 1-0023610 
 1-0023811 
 1-0024013 
 1-0024216 
 0024419 
 
 0013705 
 0013857 
 0014011 
 0014165 
 0014320 
 0014476 
 0014633 
 0014791 
 0014950 
 0015109 
 0015269 
 0016430 
 0015592 
 
 0015755 
 0016919 
 0016083 
 0016249 
 0016415 
 0016582 
 
 0016750 
 0016918 
 0017088 
 0017258 
 0017430 
 0017602 
 0017775 
 0017948 
 0018123 
 0018299 
 0018475 
 0018652 
 
 0018830 
 0019009 
 0019189 
 0019369 
 0019550 
 0019733 
 0019916 
 0020100 
 0020284 
 0020470 
 0020657 
 0020844 
 0021032 
 0021221 
 0021411 
 0021601 
 0021793 
 0021985 
 
 0022179 
 0022373 
 0022567 
 0022763 
 0022960 
 0023157 
 0023355 
 0023665 
 0023765 
 0023965 
 0024157 
 0024359 
 
 152 
 154 
 164 
 155 
 156 
 167 
 168 
 159 
 169 
 160 
 161 
 162 
 163 
 164 
 164 
 166 
 166 
 167 
 168 
 168 
 170 
 170 
 172 
 172 
 173 
 173 
 175 
 176 
 176 
 177 
 178 
 179 
 180 
 180 
 181 
 183 
 183 
 184 
 184 
 186 
 187 
 187 
 188 
 189 
 190 
 190 
 192 
 192 
 194 
 194 
 194 
 196 
 197 
 197 
 198 
 200 
 200 
 200 
 202 
 202 
 
 9986290 
 9986143 
 9985989 
 9985835 
 9985680 
 9986624 
 9985367 
 9985209 
 9985050 
 9984891 
 9984731 
 9984570 
 9984408 
 9984245 
 9984081 
 9983917 
 9983751 
 9983585 
 9983418 
 9983250 
 9983082 
 9982912 
 9982742 
 9982570 
 9982398 
 9982225 
 9982052 
 9981877 
 9981701 
 9981525 
 9981348 
 9981170 
 9980991 
 9980811 
 9980631 
 9980450 
 9980267 
 9980084 
 9979900 
 9979716 
 9979530 
 9979343 
 9979156 
 9978968 
 9978779 
 9978689 
 9978399 
 9978207 
 9978015 
 9977821 
 9977627 
 9977433 
 9977237 
 9977040 
 9976843 
 9976645 
 9976445 
 9976245 
 9976045 
 9975843 
 9976641 
 
 Cosec. Covers D. Sine 
 
 Deg. 86. 
 
iDeff. 
 
 LOG. SINES, &C. 
 
 (Q55) 
 
 8ine Difl 
 
 87188002 
 8 -72 1.2040 
 87235946 
 87259721 
 1 87283366 
 17306882 
 17330272 
 87353535 
 87376675 
 7399691 
 87422586 
 87445360 
 87468015 
 
 87490553 
 87512973 
 87535278 
 87557469 
 87579546 
 7601512 
 7623366 
 87645111 
 87666747 
 87688275 
 87709697 
 87731014 
 
 87752226 
 
 87773334 
 
 7794340 
 
 87815244 
 
 7836048 
 87855753 
 87877359 
 87897867 
 87918278 
 
 7938594 
 
 87958814 
 
 7978941 
 87998974 
 8-8018915 
 8-8038764 
 
 •8058523 
 8-8078199 
 8-8097772 
 8-8117264 
 
 ■8136668 
 8-8155985 
 8-8176217 
 8-8194363 
 8-8213426 
 8-8232404 
 8-8251299 
 8-8270112 
 8-8288844 
 8-8307495 
 !-8326066 
 8-8344557 
 
 •8362969 
 8-8381304 
 
 ■8399561 
 8-8417741 
 8-8435845 
 
 24038 
 23906 
 23775 
 23645 
 23516 
 23390 
 23263 
 
 23140 
 23016 
 22895 
 22774 
 22655 
 22538 
 22420 
 22305 
 22191 
 22077 
 21966 
 21854 
 21745 
 21636 
 21528 
 21422 
 21317 
 21212 
 
 21108 
 21006 
 20904 
 20804 
 20705 
 20606 
 
 20508 
 20411 
 20316 
 20220 
 20127 
 20033 
 9941 
 19849 
 19759 
 19669 
 19580 
 19492 
 19404 
 19317 
 19232 
 19146 
 19062 
 18979 
 18895 
 18813 
 18732 
 18651 
 18571 
 18491 
 18412 
 18335 
 1^3257 
 18180 
 18104 
 
 Cosec. Verseds. 
 
 Cosine 
 
 Diff. 
 
 11-2811998 
 11-2787960 
 11-2764054 
 11-2740279 
 11-2716634 
 11-2693118 
 11-2669728 
 11-2646465 
 11-2623325 
 11-2600309 
 11-2577414 
 11-2554640 
 11-2531985 
 11-2509447 
 11-2487027 
 11-2464722 
 11-2442531 
 11-2420454 
 11-2398488 
 11-2376634 
 11-2354889 
 11-2333253 
 11-2311725 
 11-2290303 
 11-2268986 
 11-2247774 
 11-2226666 
 11-2205660 
 11-2184756 
 11-2163952 
 11-2143247 
 11-2122641 
 11-2102133 
 11-2081722 
 11-2061406 
 11-2041186 
 11-2021059 
 11-2001026 
 11-1981085 
 11-1961236 
 11-1941477 
 11-1921808 
 11-1902228 
 11-1882736 
 11-1863332 
 11-1844015 
 11-1824783 
 11-1805637 
 11-1786575 
 11-1767596 
 11-1748701 
 11-1729888 
 11-1711156 
 11-1692505 
 11-1673934 
 11-1655443 
 11-1637031 
 11-1618696 
 11-1600439 
 11-1582259 
 11-1564155 
 
 Secant 
 
 1368680 
 
 1416791 
 
 1464636 
 
 1512219 
 
 1559542 
 
 1606609 
 
 7-1653422 
 
 7-1699984 
 
 7-1746297 
 
 7-1792365 
 
 7-1838189 
 
 7-1883773 
 
 7-1929118 
 
 7-1974228 
 7-2019104 
 7-2063750 
 7-2108167 
 7-2152358 
 7-2196326 
 7-2240071 
 7-2283597 
 7-2326906 
 7-2370000 
 7-2412881 
 7-2455551 
 7-2498013 
 7-2540267 
 7-2582317 
 7-2624164 
 7-2665810 
 7-2707258 
 
 7-2748508 
 7-2789563 
 7-2830425 
 7-2871095 
 7-2911576 
 7-2951869 
 7-2991975 
 7-3031897 
 7-3071636 
 7-3111194 
 7-3150572 
 7-3189773 
 
 7-3228797 
 7-3267646 
 7-3306322 
 7-3344827 
 7-3383161 
 7-3421327 
 7-3469326 
 7-3497159 
 7-3534828 
 7-3572334 
 7-S609G78 
 7-3646863 
 7-3683888 
 7-3720757 
 7-3757469 
 7-3794027 
 7-3830431 
 3866683 
 
 Tang. jDiff. 
 
 Covers. 
 
 719395824,0- 
 72180631;^'°^ 
 72420351^^^;^ 
 7265877g«|^ 
 •7289589|;f,J^ 
 73Ul74flf 
 7336631^'^^^'^ 
 
 8-8 
 
 8-8 
 
 -7359964 
 •7383172 
 -7406258 
 •7429222 
 •7452067 
 -7474792 
 
 •7497400 
 
 7519892 
 
 •7542269 
 
 •756453 
 
 •7586681 
 
 7608719 
 
 7630647 
 
 ■7652465 
 
 •7674175 
 
 ■7695777 
 
 ■7717274 
 
 ■773866: 
 
 7759952 
 
 •7781136 
 
 7802218 
 
 7823199 
 
 7844079 
 
 7864861 
 
 7885544 
 
 7906130 
 
 7926620 
 
 7947014 
 
 7967313 
 
 7987519 
 
 8007632 
 
 8027653 
 
 8047583 
 
 8067422 
 
 8087172 
 
 106834 
 8126407 
 
 145894 
 8165294 
 8184608 
 8203838 
 8222984 
 8242046 
 8261026 
 8279924 
 8298741 
 8317478 
 8336134 
 8354712 
 8373211 
 8391633 
 8409977 
 8428245 
 8446437 
 
 23333 
 23208 
 23086 
 22964 
 22845 
 22725 
 22608 
 22492 
 22377 
 22262 
 22150 
 22038 
 21928 
 21818 
 21710 
 21602 
 21497 
 21391 
 21287 
 21184 
 21082 
 20981 
 20880 
 20782 
 20683 
 20586 
 20490 
 20394 
 20299 
 20206 
 20113 
 20021 
 19930 
 19839 
 19750 
 19662 
 19573 
 19487 
 19400 
 19314 
 19230 
 19146 
 19062 
 18980 
 18898 
 18817 
 18737 
 18656 
 18578 
 18499 
 18422 
 18344 
 18268 
 18192 
 
 Cotang. Diff. 
 
 Cotang. 
 
 11-2806042 
 
 11-2781937 
 
 11-275796 
 
 11-2734123 
 
 11-271041 
 
 11-2686826 
 
 11-2663369 
 
 11-2640036 
 
 11-2616828 
 
 11-2593742 
 
 11-2570778 
 
 11-2547933 
 
 11-2525208 
 
 11-2502600 
 
 11-2480108 9 
 
 11-2457731 
 
 11-2435469 
 
 11-2413319 
 
 11-2391281 
 
 11-2369353 
 11-234753 
 11-2325820 
 11-2304223 
 11-2282726 
 11-2261335 
 11-2240048 
 11-2218864 
 11-2197782 
 11-2176801 
 11-2155921 
 11-2135139 
 11-2114456 
 11-2093870 
 11-2073380 
 11-2052986 
 11-2032687 
 11-2012481 
 1M992368 
 11-1972347 
 11-1952417 
 11-1932578 
 11-1912828 
 11-1893166 
 11-1873593 
 11-1854106 
 11-1834706 
 11-1815392 
 11-1796162 
 11-1777016 
 11-1757954 
 11-1738974 
 11-1720076 
 11-1701259 
 11-1682522 
 1-1663866 
 11-1645288 
 11-1626789 
 11-1608367 
 11-1590023 
 11-1571755 
 11-1553563 
 
 Tang. 
 
 Covers. 
 
 9-9766544 
 9-9765213 
 9-9763881 
 9-9762549 
 9-9761216 
 9-9759883 
 9-9758550 
 9-9757216 
 
 9755882 
 9-9754547 
 
 9753212 
 9-9751877 
 9-9750541 
 
 9-9749205 
 9747868 
 9-9746532 
 9745194 
 9-9743857 
 9-9742519 
 9-9741180 
 9739841 
 9-9738502 
 9^9737162 
 9-9735822 
 9-9734482 
 9-9733141 
 9-9731800 
 9-9730458 
 9-9729117 
 9-9727774 
 9-9726431 
 
 9-9725088 
 9-9723745 
 9-9722401 
 9-9721057 
 9-9719712 
 9-9718367 
 
 9717021 
 9-9715675 
 9-9714329 
 9-9712982 
 9^9711635 
 9^9710288 
 9^9708940 
 9^9707592 
 9^9706243 
 9^9704894 
 9-9703545 
 
 9702195 
 9-9700845 
 9-9699494 
 9-9698143 
 
 9696792 
 9-9695440 
 9-9694088 
 9-9692735 
 9-9691382 
 9-9690029 
 
 9688675 
 9-9687321 
 9-9685967 
 
 Verseds. 
 
 Secant D Cosine 
 
 10-0005956 
 10-0006022 
 10-0006089 
 10-0006156 
 10-0006224 
 10-0006292 
 10-0006360 
 
 10-0006428 
 
 10-0006497 
 
 10-0006567 
 
 10-0006636 
 
 10-0006707 
 
 10-0006777 
 
 10-0006848 
 
 10-0006919 
 
 10-0006991 
 
 10-0007062 
 
 10-000713 
 
 10-0007207 
 
 10-0007280 
 
 10-0007354 
 
 10-0007428 
 
 10-0007502 
 
 10-0007576 
 
 10-0007651 
 
 10-0007726 
 
 10-0007802 
 
 10-0007878 
 
 10-0007954 
 
 10-0008031 
 
 10-0008108 
 
 10-0008185 
 
 10-0008263 
 
 10-0008341 
 
 10-0008420 
 
 10-0008499 
 
 10-0008578 
 
 10-0008658 
 
 10-0008738 
 
 10-0008818 
 
 10-0008899 
 
 10-0008980 
 
 10-0009062 
 
 10-0009144 
 10-0009226 
 10-0009309 
 10-0009392 
 10-0009475 
 10-0009559 
 10-0009643 
 10-0009727 
 10-0009812 
 10-0009897 
 10-0009983 
 10-0010069 
 10-0010155 
 10-0010242 
 10-0010329 
 10-0010416 
 10-0010504 
 0-0010592 
 
 Cosec. 
 
 D 
 
 9-9994044 
 9-9993978 
 9-9993911 
 9-9993844 
 9-9993776 
 9-9993708 
 9-9993640 
 9-9993572 
 9-9993503 
 9-9993433 
 9-9993364 
 9-9993293 
 9-9993223 
 9-9993152 
 9-9993081 
 9-9993009 
 9-9992938 
 9-9992865 
 9-9992793 
 9-9992720 
 9-9992646 
 9-9992572 
 9-9992498 
 9-9992424 
 
 41 
 40 
 39 
 
 38 
 
 37 
 
 9-9992349:36 
 
 9-9992274 35 
 9-9992198 34 
 9-9992122 33 
 9-9992046 32 
 9-999196931 
 9-9991892 30 
 
 9-9991815 
 9-9991737 
 9-9991659 
 9-9991580 
 9991501 
 9991422 
 
 9-9991342 
 9-9991262 
 9-9991182 
 9-9991101 
 -9991020 
 9-9990938 
 9-9990856 
 9-9990774 
 9-9990691 
 9-9990608 
 9-9990525 
 
 9990441 
 9-9990357 
 9-9990273 
 9-9990188 
 9-9990103 
 9-9990017 
 9-9989931 
 9-9989845 
 9 9989758 
 9-9989671 
 9-9989584 
 
 9989496 
 9-99894v 8 
 
 Sine 
 
 Deg. 86. 
 
('Q56) 4 Deg. . NATURAL SINES, &c. 
 
 Tab. 10. 
 
 Sine Dif. Covers Cosec. Tang. Cotang. Secant Vers. D.jCosine ' 
 
 07()04()7 
 ()7033(;b 
 0706270 
 0709171 
 0712073 
 0714974 
 0717876 
 0720777 
 0723G78 
 0726580 
 0729481 
 0732382 
 
 0735283 
 0738184 
 0741085 
 0743986* 
 0746887 
 0749787 
 0752688 
 0755589 
 0758489 
 0761390 
 0764290 
 0767190 
 0770091 
 0772991 
 0775891 
 0778791 
 0781691 
 0784591 
 0787491 
 0790391 
 0793290 
 0796190 
 0799090 
 0801989 
 0804889 
 0807788 
 0810687 
 0813587 
 0816486 
 0819385 
 0822284 
 0825183 
 0828082 
 0830981 
 0833880 
 0836778 
 0839677 
 0842576 
 0845474 
 0848373 
 0851271 
 0854169 
 
 0857067 
 59966 
 0862864 
 0865762 
 0868660 
 0871557 
 
 Cosine 
 
 2902 
 2901 
 2902 
 2901 
 ?902 
 2901 
 2902 
 2901 
 2901 
 2902 
 2901 
 2901 
 2901 
 2901 
 2901 
 2901 
 2901 
 2900 
 2901 
 2901 
 2900 
 2901 
 2900 
 2900 
 2901 
 2900 
 2900 
 2900 
 2900 
 2900 
 2900 
 2900 
 2899 
 2900 
 2900 
 2899 
 2900 
 
 2899 
 2899 
 2900 
 2899 
 2899 
 2899 
 2899 
 2899 
 2899 
 2899 
 2898 
 2899 
 2899 
 2898 
 2899 
 2898 
 2898 
 2898 
 2899 
 2898 
 2898 
 2898 
 2897 
 
 Dif. 
 
 9302435 
 9299533 
 9296632 
 9293730 
 9290829 
 9287927 
 9285026 
 
 9282124 
 9279223 
 9276322 
 9273420 
 9270519 
 9267618 
 9264717 
 9261816 
 9258915 
 9256014 
 9253113 
 9250213 
 9247312 
 9244411 
 9241511 
 9238610 
 9235710 
 9232810 
 9229909 
 9227009 
 9224109 
 9221209 
 9218309 
 9215409 
 9212509 
 9209609 
 9206710 
 9203810 
 9200910 
 9198011 
 9195111 
 9192212 
 9189313 
 9186413 
 9183514 
 9180615 
 9177716 
 9174817 
 9171918 
 9169019 
 9166120 
 9163222 
 160323 
 9157424 
 9154526 
 9151627 
 9148729 
 9145831 
 9142933 
 9140034 
 9137136 
 9134238 
 9131340 
 9128443 
 
 Vers. 
 
 14-335587 
 14-276200 
 14-217304 
 14-158894 
 14-100963 
 14-043504 
 13-986514 
 
 13-929985 
 13-873913 
 13-818291 
 13-763115 
 13-708379 
 13-654077 
 13-600205 
 13-546758 
 13-493731 
 13-441118 
 13-388914 
 13-337116 
 13-285719 
 13-234717 
 13-184106 
 13-133882 
 13-084040 
 13-034576 
 12-985486 
 12-936765 
 12-888410 
 2-840416 
 12-792779 
 12-745495 
 12-698560 
 12-651971 
 12-605724 
 12-559815 
 12-514240 
 12-468995 
 12-424078 
 12-379484 
 12-335210 
 12-291252 
 12-247608 
 12-204274 
 
 12-161246 
 12-118522 
 12-076098 
 12-033970 
 11-992137 
 11-950595 
 11-909340 
 11-868370 
 11-827683 
 11-787274 
 11-747141 
 11-707282 
 11-667693 
 11-628372 
 11-589316 
 11-550523 
 11-511990 
 11-473713 
 
 Secant 
 
 0699268 
 
 0702191 
 
 0705115 
 
 0708038 
 
 0710961 
 
 0713885 
 
 0716809 
 
 0719733 
 
 0722657 
 
 0725581 
 
 0728505 
 
 0731430 
 
 0734354 
 
 0737279 
 
 0740203 
 
 0743128 
 
 0746053 
 
 0748979 
 
 0751904 
 
 0754829 
 
 0757755 
 
 0760680 
 
 0763606 
 
 0766532 
 
 0769458 
 
 0772384 
 
 077531 
 
 0778237 
 
 0781164 
 
 0784090 
 
 0787017 
 
 0789944 
 
 0792871 
 
 0795798 
 
 0798726 
 
 0801653 
 
 0804581 
 
 0807509 
 
 0810437 
 
 081336 
 
 0816293 
 
 0819221 
 
 0822150 
 
 0825078 
 
 0828007 
 
 0830936 
 
 0833865 
 
 0836794 
 
 0839723 
 
 0842653 
 
 0845583 
 
 0848512 
 
 0851442 
 
 0854372 
 
 0857302 
 
 086023 
 
 0863163 
 
 0866094 
 
 0S69025 
 
 0871956 
 
 087488 
 
 Cotan 
 
 14-300666 
 14-241134 
 14-182092 
 14-123536 
 14065459 
 14-007856 
 13-950719 
 
 13-894045 
 13-837827 
 13-782060 
 13-726738 
 13-6718.56 
 13-617409 
 
 13-563391 
 13-509799 
 13-456625 
 13-403867 
 13-351518 
 13-299574 
 13-248031 
 13-196883 
 13-146127 
 13-095757 
 13-045769 
 12-996160 
 
 12-946924 
 12-898058 
 12-849557 
 12-801417 
 12-753634 
 12-706205 
 12-659125 
 12-612390 
 12-565997 
 12-519942 
 12-474221 
 12-428831 
 
 12-383768 
 12-339028 
 12-294609 
 12-250505 
 12-206716 
 12-163236 
 12- 120062 
 12-077192 
 12034622 
 11-992349 
 11-950370 
 11-908682 
 11-867282 
 11-82616/ 
 11-785333 
 11-744779 
 n -704500 
 11-664495 
 11-624761 
 11-585294 
 11-546093 
 11-507154 
 11-468474 
 11 -430052 J 
 
 Tang. 
 
 0024419 
 
 0024623 
 
 0024829 
 
 0025035 
 
 0025241 
 
 0025449 
 
 0025658 
 
 0025867 
 
 0026078 
 
 0026289 
 
 0026501 
 
 0026714 
 
 002^928 
 
 0027142 
 
 0027358 
 
 0027574 
 
 0027791 
 
 0028009 
 
 0028228 
 
 0028448 
 
 0028669 
 
 0028890 
 
 0029112 
 
 0029336 
 
 0029560 
 
 002978 
 
 0030010 
 
 0030237 
 
 0030464 
 
 0030693 
 
 0030922 
 
 0031152 
 
 0031383 
 
 0031615 
 
 0031847 
 
 0032081 
 
 0032315 
 
 0032551 
 
 0032787 
 
 0033024 
 
 0033261 
 
 0033500 
 
 0033740 
 
 0033980 
 
 0034221 
 
 0034463 
 
 0034706 
 
 0034950 
 
 0035195 
 
 0035440 
 
 0035687 
 
 0035934 
 
 0036182 
 
 0036431 
 
 0036681 
 
 0036932 
 
 0037183 
 
 0037436 
 
 0037689 
 
 003794 
 
 0038198 
 
 Cosec. 
 
 0024359 
 
 0024563 
 
 0024767 
 
 0024972 
 
 0025178 
 
 0025385 
 
 0025592 
 
 0025801 
 
 0026010 
 
 0026220 
 
 0026431 
 
 0026643 
 
 002685 
 
 0027069 
 
 0027283 
 
 0027498 
 
 0027714 
 
 0027931 
 
 0028149 
 
 0028367 
 0028587 
 0028807 
 0029028 
 0029250 
 0029472 
 0029696 
 0029920 
 0030146 
 0030372 
 0030599 
 0030827 
 0031055 
 0031285 
 0031515 
 0031746 
 0031978 
 0032211 
 
 0032445 
 
 0032679 
 
 003291 
 
 0033151 
 
 0033388 
 
 0033626 
 
 0033865 
 
 0034105 
 
 0034345 
 
 0034586 
 
 0034828 
 
 0035071 
 
 003531.^ 
 
 0035560 
 
 0035805 
 
 0036052 
 
 0036299 
 
 0036547 
 
 0036796 
 
 0037046 
 
 0037296 
 
 0037548 
 
 0037800 
 
 0038053 
 
 204 
 204 
 205 
 206 
 207 
 207 
 209 
 
 209 
 
 210 
 
 211 
 
 212 
 
 212 
 
 214 
 
 214 
 
 215 
 
 216 
 
 217 
 
 218 
 
 218 
 
 220 
 
 220 
 
 221 
 
 222 
 
 222 
 
 224 
 
 224 
 
 226 
 
 226 
 
 227 
 
 228 
 
 228 
 
 230 
 
 230 
 
 231 
 
 232 
 
 233 
 
 234 
 
 234 
 
 236 
 
 236 
 
 237 
 
 238 
 
 239 
 
 240 
 
 240 
 
 241 
 
 242 
 
 243 
 
 244 
 
 24 
 
 245 
 
 247 
 
 247 
 
 248 
 
 249 
 
 250 
 250 
 252 
 252 
 253 
 
 Covers D. 
 
 9975641 
 9975437 
 9975233 
 9975028 
 9974822 
 9974615 
 9974408 
 9974199 
 9973990 
 9973780 
 9973569 
 9973357 
 9973145 
 9972931 
 9972717 
 9972502 
 9972286 
 9972069 
 9971851 
 9971633 
 9971413 
 9971193 
 9970972 
 9970750 
 9970528 
 9970304 
 9970080 
 9969854 
 9969628 
 9969401 
 9969173 
 9968945 
 9968715 
 9968485 
 9968254 
 9968022 
 99677S9 
 9967555 
 9967321 
 9967085 
 9966849 
 9966612 
 9966374 
 9966135 
 99658.95 
 9965655 
 9965414 
 9965172 
 9964929 
 9964685 
 9964440 
 9964195 
 9963948 
 9963701 
 9963453 
 9963204 
 9962954 
 9962704 
 9962452 
 9962200 
 9961947 
 
 Sine 
 
 Deff. 85, 
 
4 Dcg. 
 
 LOG. SINES, Sec, 
 
 (^57) 
 
 Sine 
 
 •8435«4o 
 •8453874 
 •8471827 
 •8489707 
 •8507512 
 •8525245 
 ■8542905 
 8560493 
 8578010 
 8595457 
 86M2833 
 8630139 
 8647376 
 '8664545 
 8681646 
 8698680 
 8715646 
 8732546 
 8749381 
 8766150 
 '8782854 
 8799493 
 8816069 
 ■8832581 
 8849031 
 ■8865418 
 8881743 
 8898007 
 8914209 
 8930351 
 8946433 
 8962455 
 8978418 
 8994322 
 9010168 
 9025955 
 9041685 
 9057358 
 9072975 
 9088535 
 9 1 04039 
 9119487 
 9134881 
 
 9150219 
 9165504 
 9180734 
 9195911 
 9211034 
 9226 105 
 
 9241123 
 9256089 
 9271003 
 9285866 
 93006;8 
 9315439 
 9330150 
 9344811 
 ■9359422 
 •9373983 
 ■9388496 
 •9402960 
 
 Diff. 
 
 18029 
 17953 
 
 17880 
 17805 
 17733 
 17660 
 
 17588 
 
 17517 
 17447 
 17376 
 17306 
 17237 
 17169 
 17101 
 17034 
 16966 
 16900 
 16835 
 16769 
 16704 
 16639 
 16576 
 16512 
 16450 
 16387 
 16325 
 16264 
 16202 
 16142 
 16082 
 16022 
 15963 
 15904 
 15846 
 15787 
 15730 
 15673 
 
 15617 
 
 15560 
 
 15504 
 
 15448 
 
 15394 
 
 15338 
 
 1528 
 
 15230 
 
 15177 
 
 15123 
 
 15071 
 
 15018 
 
 14966 
 
 14914 
 
 14863 
 
 14812 
 
 14761 
 
 14711 
 
 14661 
 
 14611 
 
 14561 
 
 14513 
 
 14464 
 
 Cosec. 
 
 IM564155 
 11-1546126 
 1M528173 
 1M510293 
 IM492488 
 11-1474755 
 1M457095 
 
 11-1439507 
 1421990 
 11-1404543 
 11-1387167 
 1M369861 
 11-1352624 
 11-1335455 
 11-1318354 
 11-1301320 
 11-1284354 
 11-1267454 
 11-1250619 
 11-1233850 
 1217146 
 11-1200507 
 11-1183931 
 11-1167419 
 IM 150969 
 11-1134582 
 11-1118257 
 11-1101993 
 11-1085791 
 11-1069649 
 11-1053567 
 11-1037545 
 11-1021582 
 11-1005678 
 1-0989832 
 11-0974045 
 11-0958315 
 11-0942642 
 1 1-092702 
 11-0911465 
 11-0895961 
 11-0880513 
 11-0865119 
 11-0849781 
 11-0834496 
 11-0819266 
 11-0804089 
 11-0788966 
 11-0773895 
 11-0758877 
 11-0743911 
 11-0728997 
 11-0714134 
 11-0699322 
 11-0684561 
 11-0669850 
 11-0655189 
 11-0640578 
 n -062601 7 
 11-0611504 
 11-0597040 
 
 Verseds. 
 
 7-3866683 
 7-3902785 
 7-3938736 
 7-3974539 
 7-4010196 
 7-4045706 
 7-4081071 
 
 7-4116293 
 7-4151372 
 7-4186311 
 7-4221109 
 7-4255767 
 7-4290288 
 7-4324673 
 7-4358921 
 7-4393035 
 7-4427015 
 7-4460862 
 7-4494578 
 7-4528163 
 7-4561619 
 7-4594946 
 7-4628146 
 7-4661219 
 7-4694166 
 
 7-4726989 
 7-4759688 
 7-4792264 
 4824719 
 7-4857052 
 7-4889265 
 7-4921359 
 7-4953335 
 7-4985193 
 7-5016934 
 7-5048560 
 7-5080071 
 7-5111468 
 7-5142751 
 7-5173923 
 7-5204982 
 7-5235931 
 7-5266769 
 7-5297498 
 7-5328119 
 7-5358632 
 7-5389038 
 7-5419338 
 7-5449532 
 
 7-5479621 
 7-5509607 
 7-5539489 
 7-5569268 
 7-5598946 
 7-5628522 
 
 7-5657998 
 7-5687373 
 7-5716650 
 7-5745828 
 7-5774908 
 7-5803891 
 
 Tang. 
 
 •8446437 
 •8464554 
 ■8482597 
 •8500566 
 •8518461 
 ■8536283 
 ■8554034 
 
 8-8571713 
 8589321 
 8606859 
 
 8-8624327 
 8641725 
 8659055 
 
 8-8676317 
 
 8693511 
 
 8-8710638 
 
 8727699 
 
 8-8744694 
 
 8-8761623 
 
 8-8778487 
 
 8-8795286 
 
 8-8812022 
 
 8828694 
 
 8845303 
 
 8-8861850 
 
 8-8878334 
 
 8-8894757 
 
 8-8911119 
 
 8-8927420 
 
 8-8943660 
 
 8-8959842 
 
 8-8975963 
 
 8-8992026 
 
 8-9008030 
 
 8-9023977 
 
 8-9039866 
 
 9055697 
 
 8-907 147j2 
 
 9087190 
 
 9102853 
 
 8-9118460 
 
 8-9134012 
 
 8-9149509 
 
 8-9164952 
 
 8-9180340 
 
 8-9195675 
 
 8-9210957 
 
 8-9226186 
 
 9241363 
 
 8-9256487 
 8-9271560 
 8-9286581 
 8-9301552 
 8-9316471 
 8-9331340 
 8-9346160 
 8-9360929 
 8-9375650 
 8-9390321 
 8-9404944 
 8-9419518 
 
 Diff. Cotang. Cover 
 
 18117 
 18043 
 17969 
 17895 
 17822 
 17751 
 17679 
 17608 
 17538 
 17468 
 17398 
 17330 
 17262 
 17194 
 17127 
 17061 
 16995 
 16929 
 16864 
 16799 
 16736 
 16672 
 16609 
 6547 
 16484 
 
 16423 
 6362 
 16301 
 16240 
 16182 
 16121 
 16063 
 16004 
 15947 
 15889 
 15831 
 15775 
 15718 
 1 5663 
 15607 
 15552 
 15497 
 15443 
 1 5388 
 15335 
 1 5282 
 15229 
 1517 
 15124 
 15073 
 15021 
 14971 
 14919 
 14869 
 14820 
 14769 
 14721 
 14671 
 14623 
 14574 
 
 11-1553563 
 11-1535446 
 11-1517403 
 11-1499434 
 11-1481539 
 1-1463717 
 1-1445966 
 
 11-1428287 
 11-1410679 
 11-1393141 
 11-1375673 
 11-1358275 
 11-1340945 
 11-1323683 
 11-1306489 
 11-1289362 
 11-127230 
 11-1255306 
 11-1238377 
 11-1221513 
 1-1204714 
 11-1187978 
 11-1171306 
 11-1154697 
 11-1138150 
 11-1121666 
 11-1105243 
 11-1088881 
 11-1072580 
 11-1056340 
 11-1040158 
 
 11-1024037 
 11-1007974 
 11-0991970 
 11-0976023 
 11-0960134 
 11-0944303 
 
 11-0928528 
 11-0912810 
 11-0897147 
 11-0881540 
 11-0865988 
 11-0850491 
 11-0835048 
 11-0819660 
 1 1 -0804325 
 1 I -0789043 
 11-0773814 
 11-0758637 
 11-0743513 
 
 1-0713419 
 
 9-9685967 
 9-9684612 
 9-9683256 
 9-9681901 
 9-9680544 
 9-9679188 
 9-9677831 
 9-9676474 
 9-9675116 
 9-9673758 
 9-9672399 
 9-9671041 
 9-9669681 
 9-9668322 
 9-9666961 
 9-966560 J 
 9-9664240 
 9-9662879 
 9-9661517 
 9-9660155 
 9-9658793 
 9-9657430 
 9-9656067 
 9-9654703 
 9-9653339 
 9-9651974 
 9-9650610 
 9-9649244 
 9647879 
 9-9646513 
 9-9645146 
 9-9643779 
 9-9642412 
 9-9641044 
 9-9639676 
 9-9638308 
 9-9636939 
 9-9635570 
 9-9634200 
 9-9632830 
 9-9631460 
 9-9630089 
 9-9628718 
 9-9627346 
 9-9625974 
 9-9624602 
 9-9623229 
 9-9621856 
 9-9620482 
 
 9-9619108 
 11-0728440 9-9617733 
 
 9-9616359 
 
 11 -069844819-96 14983 
 11-0683529 9-9613608 
 11-0668660 9-9612232 
 
 11-0653840 
 11-0639071 
 11-0624350 
 11-0609679 
 11-0595056 
 11-0580482 
 
 9-9610855 
 9-9609478 
 9-9608101 
 9-9606723 
 9-9605345 
 9-9603967 
 
 Secant 
 
 10-0010592 
 10-0010681 
 10-0010770 
 10-0010859 
 10-0010948 
 10-0011038 
 10-0011129 
 10-0011220 
 10-0011311 
 10-0011402 
 10-0011494 
 10-0011586 
 10-0011679 
 10-0011772 
 10-0011865 
 10-0011959 
 10-0012053 
 10-0012147 
 10-0012242 
 
 10-0012337 
 10-0012433 
 10-0012529 
 10-0012625 
 10-0012722 
 10-0012819 
 10-0012916 
 10-0013014 
 10-0013112 
 10-0013210 
 10-0013309 
 10-0013409 
 10-0013508 
 10-0013608 
 10-0013708 
 10-0013809 
 10-0013910 
 10-0014012 
 10-0014114 
 10-0014216 
 10-0014318 
 10-0014421 
 10-0014525 
 10-0014628 
 10-0014732 
 10-0014837 
 10-0014942 
 10-0015047 
 10-0015152 
 10-0015258 
 10-0015364 
 10-0015471 
 10-0015578 
 10-0015685 
 10-0015793 
 10-0015901 
 10-0016010 
 10-0016119 
 10-0016228 
 10-0016337 
 10-0016447 
 10-0016558 
 
 D 
 
 Cosine 
 
 9-9989408 
 9-9989319 
 9-9989230 
 9-9989141 
 9-9989052 
 9-9988962 
 9-9988871 
 9-9988780 
 9-9988689 
 9-9988598 
 9-9988506 
 9-9988414 
 9-9988321 
 
 9-9988228 
 9-9988135 
 9-9988041 
 9-9987947 
 9-9987853 
 9-9987758 
 9-9987663 
 9-998756 
 9-9987471 
 9-9987375 
 9-9987278 
 9-9987181 
 9-9987084 
 99S69S6 
 9986888 
 9-9986790 
 9-9986691 
 9-9986591 
 9-9986492 
 9-9986392 
 9986292 
 9-9986191 
 9-9986090 
 9-9985988 
 9-9985886 
 9-9985784 
 9-9985682 
 9-9985579 
 9-9985475 
 9985372 
 9985268 
 9-9985163 
 9-9985058 
 9-9984953 
 9-9984848 
 9-9934742 
 9-9984636 
 9-99845LJ9 
 9-9984422 
 9-9984315 
 9-9984207 
 9-9984099 
 9-9983990 
 9-998388 1 
 9-9983772 
 9-998366 
 9-9983553 
 9-9983442 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 
 47 
 46 
 45 
 44 
 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 11 
 17 
 16 
 15 
 14 
 13 
 12 
 
 11 
 
 10 
 9 
 8 
 7 
 6 
 5 
 4 
 3 
 2 
 1 
 
 
 Cosine Diff. Secant Covers. Cotang. | Diff. Tang. Verseds.! Cosec. D. Sine 
 r ' Fl S5 Deg 
 
(258) 5 Deg. natural sines, &:c 
 
 Tab. 10. 
 
 Sine 
 
 0871i)5 
 0874455 
 
 '2 0877353 
 0880251 
 0883 14H 
 0886'046' 
 0888943 
 0891840 
 0894738 
 
 9 0897635 
 100900532 
 0903429 
 0906326 
 0909223 
 0912119 
 0915016 
 
 16 0917913 
 
 17 0920809 
 
 18 0923706 
 
 Du: 
 
 0926'602 
 0929499 
 0932395 
 0935291 
 0938187 
 0941083 
 
 0943979 
 
 0946875 
 
 0949771 
 
 0952666 
 
 0955562 
 
 0958458 
 
 0961353 
 
 0964248 
 
 0967144 
 
 0970039 
 
 0972934 
 
 0975829 
 
 0978724 
 
 0981619 
 
 0934514 
 
 40|0987408 
 
 410990303 
 
 420993197 
 
 430996092 
 
 44 0998986 
 
 2898 
 2898 
 2898 
 2897 
 2898 
 897 
 2897 
 2898 
 2897 
 2897 
 2897 
 2897 
 2897 
 2896 
 2897 
 2897 
 2896 
 2897 
 2896 
 
 2897 
 2896 
 2896 
 2896 
 2896 
 2896 
 2896 
 2896 
 2895 
 2896 
 2896 
 2895 
 2895 
 289G 
 
 Covers 
 
 Cosec. 
 
 9128443 
 9125545 
 9122647 
 9119749 
 9116852 
 9113954 
 9111057 
 9108160 
 9105262 
 9102365 
 9099468 
 909657 1 
 9093674 
 
 9090777 
 
 908788 
 
 9084984 
 
 9082087 
 
 9079191 
 
 9076294 
 
 9073398 
 
 9070501 
 
 9067605 
 
 9064709 
 
 9061813 
 
 9058917 
 
 9056021 
 
 9053125 
 
 9050229 
 
 9047334 
 
 9044438 
 
 9041542 
 
 1-473713 
 11-435692 
 11-397922 
 11-360402 
 11-323129 
 11-286101 
 11-249316 
 
 Tang. 
 
 Cotang. 
 
 9038647 
 9035752 
 
 ^j,o^9032856 
 2°q^ 9029961 
 ^*^-^^ 9027068 
 
 1001881 
 1004775 
 1007669 
 1010563 
 1013457 
 1016351 
 1019245 
 1022138 
 1025032 
 1027925 
 
 1030819 
 1033712 
 1036605 
 1039499 
 1042392 
 1045285 
 
 2895 
 2895 
 2895 
 2895 
 2894 
 2895 
 2894 
 2895 
 2894 
 2895 
 2894 
 2894 
 2894 
 2894 
 2894 
 2894 
 2893 
 2894 
 2893 
 2894 
 2893 
 2893 
 2894 
 2893 
 2893 
 
 Cosine 
 
 9024171 
 9021276 
 9018381 
 9015486 
 9012592 
 9009697 
 9006803 
 9003908 
 9001014 
 8998119 
 8995225 
 8992331 
 8989437 
 8986543 
 8983649 
 898075 
 8977862 
 8974968 
 8972075 
 181 
 8966288 
 8963395 
 896050 
 8957608 
 8954715 
 
 11-212770 
 
 11-176462 
 
 11-140389 
 
 11-104549 
 
 11-068940 
 
 11-033560 
 
 10-998406 
 
 10-963476 
 
 10-928768 
 
 10-894281 
 
 10-86001 1 
 
 10-825957 
 
 10-792117 
 
 10-758488 
 
 10-725070 
 
 10-691859 
 
 10-658854 
 
 10-626054 
 
 10-593455 
 
 10-561057 
 
 10-528857 
 
 10-496854 
 
 10-465046 
 
 \G-433431 
 
 10-402007 
 
 10-370772 
 
 10-339726 
 
 10-308866 
 
 10-278190 
 
 10-247697 
 
 10-217386 
 
 10-187254 
 
 10-157300 
 
 10-127522 
 
 10-097920 
 
 10-068491 
 
 Dif. 
 
 10-039234 
 10-010147 
 9-9812291 
 9-9524787 
 9-9238943 
 9-8954744 
 
 9-8672176 
 9-8391227 
 9-8111880 
 9-7834124 
 9-7557944 
 7283327 
 9-7010260 
 9-6738730 
 9-6468724 
 9-6200229 
 9-5933233 
 9-5667722 
 
 Vers. 
 
 0874887 
 
 0877818 
 
 0880749 
 
 0883681 
 
 0886612 
 
 0889544 
 
 0892476 
 
 0895408 
 
 0898341 
 
 0901273 
 
 0904206 
 
 0907138 
 
 0910071 
 
 0913004 
 
 0915938 
 
 0918871 
 
 0921804 
 
 0924738 
 
 0927672 
 
 0930606 
 
 0933540 
 
 0936474 
 
 0939409 
 
 0942344 
 
 0945278 
 
 0948213 
 
 0951148 
 
 0954084 
 
 0957019 
 
 0959955 
 
 0962890 
 
 0965826 
 
 0968763 
 
 0971699 
 
 0974635 
 
 0977572 
 
 0980509 
 
 0983446 
 
 0986383 
 
 0989320 
 
 0992257 
 
 0996194 
 
 0998133 
 
 1001071 
 
 1004009 
 
 1006947 
 
 1009886 
 
 1012824 
 
 1015763 
 
 1018702 
 
 1021641 
 
 1024580 
 
 1027520 
 
 1030460 
 
 1033399 
 
 1036340 
 
 1039280 
 
 1042220 
 
 1045161 
 
 1048101 
 
 1051042 
 
 Secant 
 
 Secant 
 
 11-430052 
 n -391885 
 11-353970 
 11-316304 
 11-278885 
 11-241712 
 11-204780 
 11-168089 
 11-131635 
 11-095416 
 11-059431 
 11-023676 
 10-988150 
 
 10-952850 
 10-917775 
 10-882921 
 10-848288 
 10-813872 
 10-779673 
 
 10-745687 
 10-711913 
 10-678348 
 10-644992 
 10-611841 
 10-578895 
 10-546151 
 10-513607 
 10-481261 
 10-449112 
 10-417158 
 10-385397 
 10-353827 
 10-322447 
 10-291255 
 10-260249 
 10-229428 
 10-198789 
 10-168332 
 10-138054 
 10-107954 
 10-078031 
 10-048283 
 10-018708 
 9-9893050 
 9-9600724 
 9-9310088 
 9-9021125 
 9-8733823 
 9-8448166 
 9-8164140 
 9-7881732 
 9-7600927 
 7321713 
 7044075 
 9-6768000 
 9-6493475 
 9-6220486 
 9-5949022 
 9-5679068 
 5410613 
 9-5143645 
 
 Vers. 
 
 Cotan. 
 
 1-003819^ 
 1-0038454 
 1-0038711 
 1-0038969 
 1-0039227 
 1-0039486 
 1-0039747 
 1-0040008 
 1-0040270 
 1-0040533 
 1-0040796 
 1-0041061 
 1-0041326 
 1-0041592 
 1-0041859 
 1-0042127 
 1-0042396 
 1-0042666 
 1-0042937 
 0043208 
 1-0043480 
 1-0043753 
 1-0044028 
 1-0044302 
 1-0044578 
 1-0044855 
 1-0045132 
 1-0045411 
 1-0045690 
 1-0045970 
 1-0046251 
 1-0046533 
 1-0046815 
 1-0047099 
 1-0047383 
 1-0047669 
 1-0047955 
 1-0048242 
 1-0048530 
 1-0048819 
 1-0049108 
 1-0049399 
 1-0049690 
 1-0049982 
 1-0050275 
 1-0050569 
 1-0050864 
 1-0051160 
 1-0051456 
 1-0051754 
 1-0052052 
 1-0052351 
 1-0052651 
 1-0052952 
 1-0053254 
 
 1-0053557 
 1 -0053860 
 1-0054164 
 1-0054470 
 I -0054776 
 1-0055083 
 
 D, 
 
 Cosine 
 
 Tang. 
 
 0038053 
 
 0038307 
 
 0038562 
 
 0038817 
 
 0039074 
 
 0039331 
 
 0039589 
 
 0039848 
 
 0040108 
 
 0040369 
 
 0040630 
 
 0040893 
 
 0041156 
 
 0041420 
 
 0041685 
 
 0041951 
 
 0042217 
 
 0042485 
 
 0042753 
 
 0043022 
 
 0043292 
 
 0043563 
 
 0043835 
 
 0044107 
 
 0044380 
 
 0044655 
 
 0044930 
 
 0045205 
 
 0045482 
 
 0045760 
 
 0046038 
 
 0046317 
 
 0046597 
 
 0046878 
 
 0047160 
 
 0047443 
 
 0047726 
 
 0048010 
 
 0048295 
 
 0048581 
 
 0048868 
 
 0049156 
 
 0049444 
 
 0049734 
 
 0050024 
 
 0050315 
 
 0050607 
 
 0050899 
 
 0051193 
 
 0051487 
 0051783 
 0052079 
 0052375 
 0052673 
 0052972 
 
 0053271 
 0053572 
 
 0053873 
 0054175 
 0054477 
 0054781 
 
 Cosec. 
 
 254 
 
 255 
 
 255 
 
 257 
 
 257 
 
 258 
 
 259 
 
 260 
 
 261 
 
 261 
 
 263i 
 
 263 
 
 264 
 
 265 
 
 266 
 
 2661 
 
 268 
 
 268 
 
 269 
 
 270 
 
 27 
 
 272 
 
 272 
 
 273 
 
 275 
 
 276 
 
 275 
 
 277 
 
 278 
 
 278 
 
 279 
 
 280 
 
 281 
 
 282 
 
 283 
 
 283 
 
 284 
 
 285 
 
 286 
 
 287 
 
 288 
 
 288 
 
 290 
 
 290 
 
 291 
 
 292 
 
 292 
 
 294 
 
 294 
 
 296 
 296 
 296 
 298 
 299 
 299 
 301 
 301 
 302 
 302 
 304 
 
 Covers 
 
 9961947 
 
 9961693 
 
 9961438 
 
 9961183 
 
 9960926 
 
 3060669 
 
 9960411 
 
 9960152 
 
 9959892 
 
 9959631 
 
 9959370 
 
 9959107 
 
 9958844 
 
 9958580 
 
 9958315 
 
 9958049 
 
 9957783 
 
 9957515 
 
 9957247 
 
 9956978 
 
 9956708 
 
 9956437 
 
 9956165 
 
 9955893 
 
 9955620 
 
 9955345 
 
 9955070 
 
 9954795 
 
 9954518 
 
 9954240 
 
 9953962 
 
 9953683 
 
 9953403 
 
 9953122 
 
 9952840 
 
 9952557 
 
 9952274 
 
 9961990 
 
 9951705 
 
 9951419 
 
 9951132 
 
 9950844 
 
 9950556 
 
 9950266 
 
 9949976 
 
 9949685 
 
 9949393 
 
 9949101 
 
 9948807 
 
 9948513 
 
 9948217 
 
 994792 1 
 
 994762 
 
 9947327 
 
 9947028 
 
 9946729 
 
 9946428 
 
 9946127 
 
 9iM5825 
 
 9945523 
 
 9945219 
 
 52 
 
 51 
 
 50 
 
 49 
 
 48 
 
 47 
 
 46 
 
 45 
 
 44 
 
 43 
 
 42 
 
 41 
 
 40 
 
 39 
 
 38 
 
 37 
 
 36 
 
 35 
 
 34 
 
 33 
 
 32 
 
 31 
 
 30 
 
 29 
 
 28 
 
 27 
 
 26 
 
 25 
 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 19 
 18 
 17 
 16 
 15 
 14 
 13 
 12 
 
 11 
 10 
 9 
 
 8 
 
 7. 
 6 
 
 5 
 
 4 
 3 
 2 
 1 
 
 
 D. Sine 
 
 Deg, 84. 
 
5 Deg. 
 
 LOG. SINES, &;C. 
 
 (259) 
 
 Sine Diff. 
 
 8-940296'0 
 9417376 
 8-9431743 
 8-9446'0b'3 
 8-9460335 
 8-9474561 
 8-9488739 
 
 8-9502871 
 8-9516957 
 8-9530996 
 
 9544991 
 8-9558940 
 
 9572843 
 
 9586703 
 8-9600517 
 8-9614288 
 8-9628014 
 8-9641697 
 8-9655337 
 8-9668934 
 8-9682487 
 8-9695999 
 8-9709468 
 
 9722895 
 8-9736280 
 8-9749624 
 8-9762926 
 
 9776188 
 8-9789408 
 8-9802589 
 8-9815729 
 8-9828829 
 8-9841889 
 8-9854910 
 
 •9867891 
 8-9880834 
 
 •9893737 
 
 •9906602 
 8^9919429 
 8-9932217 
 
 •9944968 
 8-9957681 
 8-9970356 
 
 9982994 
 8-9995595 
 9-0008160 
 9-0020687 
 0033179 
 0045634 
 9-0058053 
 9-007Q436 
 9-0082784 
 9-0095096 
 9-0107374 
 9-0119616 
 
 •0131823 
 
 •0143996 
 
 9-0156135 
 
 0168239 
 
 9-0180309 
 
 9-0192346 
 
 Cosine 
 
 14416 
 
 14367 
 14320 
 14272 
 14226 
 14178 
 14132 
 14086 
 14039 
 13995 
 13949 
 13903 
 13860 
 13814 
 13771 
 13726 
 13683 
 13640 
 13597 
 13553 
 13512 
 13469 
 13427 
 13385 
 13344 
 13302 
 13262 
 13220 
 13lSl 
 13140 
 13100 
 13060 
 13021 
 12981 
 12943 
 12903 
 12865 
 12827 
 12788 
 12751 
 12713 
 12675 
 12638 
 12601 
 12565 
 12527 
 12492 
 12455 
 124] 9 
 12383 
 12348 
 12312 
 12278 
 12242 
 12207 
 12173 
 12139 
 12104 
 12070 
 12037 
 
 Diff. 
 
 Cosec. 
 
 1-0597040 
 1-0582624 
 1 •0668257 
 1-0553937 
 1-0539665 
 1-0525439 
 1-0511261 
 1-0497129 
 1-0483043 
 1-0469004 
 1-0455009 
 1-0441060 
 1-0427157 
 1-0413297 
 1-0399483 
 1-0385712 
 1-0371986 
 1-0358303 
 1-0344663 
 1-0331066 
 1-0317513 
 1-0304001 
 1-0290532 
 1-0277105 
 4-0263720 
 1-0250376 
 1-0237074 
 1-0223812 
 1-0210592 
 1-0197411 
 10184271 
 1-0171171 
 1-0158111 
 1-0145090 
 1-0132109 
 1-0119166 
 1-0106263 
 1-0093398 
 1-0080571 
 1-0067783 
 1-0055032 
 1-0042319 
 1-0029644 
 1-0017006 
 1 -0004405 
 0-9991840 
 0-9979313 
 0-9966821 
 0-9954366 
 0-9941947 
 0-9929564 
 0-9917216 
 0-9904904 
 0-9892626 
 0-9880384 
 0-9868177 
 0-9856004 
 0-9843865 
 0-9831761 
 0-9819691 
 0-9807654 
 
 Secant 
 
 Verseds 
 
 7-5803891 
 7-5832778 
 7-5861568 
 7-5890263 
 7-5918864 
 7-5947370 
 7-5975783 
 7-6004103 
 7-6032331 
 7-6060468 
 7-6088513 
 7-6116468 
 7-6144333 
 7-6172109 
 7-6199796 
 7-6227395 
 7-6254906 
 7-6282330 
 7-6309668 
 7-6336920 
 7-6364086 
 7-639 1 ] 67 
 7-6418164 
 7-6445078 
 7-6471908 
 7-6498655 
 7-6525320 
 7-6551903 
 7-6578404 
 7-6604825 
 7-6631166 
 
 7-6657427 
 7-6683608 
 7-6709711 
 7-6735735 
 7-6761682 
 7-6787550 
 7-6813342 
 7-6839058 
 7-6864697 
 7-6890260 
 7-6915749 
 7-6941162 
 7-6966502 
 7-6991767 
 7-7016959 
 7-7042078 
 7-7067124 
 7-7092098 
 7-7117001 
 7-7141832 
 7-7166592 
 7-7191281 
 7-7215900 
 7-7240450 
 7^7264930 
 7-7289341 
 7-7313683 
 7-7337958 
 7-7362164 
 7-7386303 
 
 Tang. 
 
 8-9419518 
 8-9434044 
 8-9448523 
 8-9462954 
 
 9477338 
 8-9491676 
 8-9505967 
 
 9520211 
 8-9534410 
 8-9548564 
 8-9562672 
 
 9576735 
 
 9590754 
 8-9604728 
 8-9618659 
 8-9632545 
 8-9646388 
 8-9660188 
 8-9673944 
 8-9687658 
 8^9701 330 
 8-9714959 
 
 9728547 
 er9742092 
 8-9755597 
 8-9769060 
 8-9782483 
 8-9795865 
 8-9809206 
 8-9822507 
 8-9835769 
 8-9848991 
 8-9862173 
 8-9875317 
 8-9888421 
 
 9901487 
 
 9914514 
 8-9927503 
 8-9940454 
 8-9953367 
 8-9966243 
 8-9979081 
 
 9991883 
 9-0004647 
 9-0017375 
 9-0030066 
 9-0042721 
 9-0055340 
 9-0067924 
 
 9-0080471 
 0092984 
 9-0105461 
 9-0117903 
 9-0130310 
 9-0142682 
 9-0155021 
 9-0167325 
 0179594 
 90191831 
 9-0204033 
 9-0216202 
 
 Covers, j Cotang. Diff. Tang 
 
 Ditf. Cotang. Covers. 
 
 14526 
 14479 
 14431 
 14384 
 14338 
 14291 
 14244 
 14199 
 14154 
 14108 
 14063 
 14019 
 13974 
 13931 
 13886 
 13843 
 13800 
 13756 
 13714 
 13672 
 13629 
 13588 
 13545 
 13505 
 13463 
 13423 
 13382 
 13341 
 13301 
 13262 
 13222 
 13182 
 13144 
 13104 
 13066 
 13027 
 12989 
 12951 
 12913 
 12876 
 12838 
 12802 
 12764 
 
 12728 
 12691 
 12655 
 12619 
 12684 
 12547 
 12513 
 12477 
 12442 
 12407 
 12372 
 12339 
 12304 
 12269 
 12237 
 12202 
 12169 
 
 11-0580482 
 11-0565956 
 11-0551477 
 11-0537046 
 11-0522662 
 11-0508324 
 11-0494033 
 
 11-0479789 
 
 11-0465590 9 
 
 11-0451436 
 
 11-0437328 
 
 11-0423265 
 
 11-0409246 
 
 11-0395272 
 11-0381341 
 11-0367455 
 11-0353612 
 11-0339812 
 11-0326056 
 11-0312342 
 11-0298670 
 U -0285041 
 11-0271453 
 11-0257908 
 11-0244403 
 11-0230940 
 11-0217517 
 11-0204135 
 11-0190794 
 11-0177493 
 11-0164231 
 11-0151009 
 11-0^37827 
 11-0124683 
 110111579 
 11-0098513 
 11-0085486 
 
 U -0072497 
 11-0059546 
 11-0046633 
 11-0033757 
 11-0020919 
 11-0008117 
 
 10-9995353 
 10-9982625 
 10-9969934 
 10-9957279 
 10-9944660 
 10-9932076 
 rO-99 19529 
 10-9907016 
 10-9894539 9 
 
 9-9603967 
 9-9602588 
 9-9601209 
 9-9599829 
 9-9598449 
 9-9597069 
 9-9595688 
 
 9-9594306 
 9592925 
 9-9591543 
 9-9590160 
 9-9588777 
 9-9587394 
 
 10-9882097 
 10-9869690 
 10-9857318 
 10-9844979 
 10-9832675 
 10-9820406 
 lQ-9808169 
 10-9795967 
 10-9783798 
 
 9-9586010 
 
 9-9584626 
 
 9-9583242 
 
 9-9581857 
 
 9-9580471 
 
 9-9579086 
 
 9-9577699 
 
 9-9576313 
 
 9-9574926 
 
 9-9573539 
 
 9-9572151 
 
 9-9570763 
 
 9-9569374 
 
 9-9567985 
 
 9-9566596 
 
 9-9565206 
 
 9-9563816 
 
 9-9562425 
 
 9-9561034 
 
 9-9559643 
 
 •9558251 
 
 9556859 
 
 ■9555466 
 
 •9554073 
 
 •9552680 
 
 9551286 
 
 •9549892 
 
 ■9548497 
 
 ■9547102 
 
 ■9545706 
 
 ■9544311 
 
 ■9542914 
 
 ■954151 
 
 ■9540120 
 
 ■9538723 
 
 ■9537325 
 
 ■9535927 
 ■9634528 
 ■9533129 
 ■9531729 
 •9530329 
 •9528929 
 
 9-9527528 
 9-9526127 
 9-9524725 
 9-9523323 
 9-9521921 
 9-9520518 
 
 Verscds. 
 
 Secant D. Cosine 
 
 10^0016558 
 
 10-0016668 
 
 10^0016780 
 
 10-001689 
 
 10-0017003 
 
 10-0017115 
 
 10-0017228 
 
 10-0017340 
 
 10-0017454 
 
 10-0017567 
 
 10-0017682 
 
 10-0017796 
 
 10-0017911 
 
 10-0018026 
 
 10-0018141 
 
 10-0018257 
 
 10-0018374 
 
 10-0018490 
 
 10-0018607 
 
 10-0018725 
 
 10-0018842 
 
 10-0018960 
 
 10-0019079 
 
 10-0019198 
 
 10-0019317 
 
 10-0019437 
 
 10-0019557 
 
 10-0019677 
 
 0-0019798 
 10-0019919 
 10-0020040 
 10-0020162 
 10-0020284 
 10-0020407 
 10-0020530 
 10-0020653 
 10-0020777 
 10-0020901 
 10-0021025 
 10-0021150 
 
 0-002^275 
 10-0021401 
 10-0021527 
 10-0021653 
 10-0021780 
 10-0021907 
 10-0022034 
 10-0022162 
 10-0022290 
 10-0022418 
 10-0022547 
 10-0022677 
 10-0022806 
 10-0022936 
 10-0023067 
 10-0023197 
 10-0023328 
 10-0023460 
 10-0023592 
 10-0023724 
 10-0023857 
 
 Cosec. 
 
 D 
 
 9-9983442 
 9-9983332 
 9-9983220 
 9-9983109 
 9-9982997 
 9-9982885 
 9-9982772 
 
 9-9982660 
 9-9982546 
 9-9982433 
 9-998231 & 
 9-9982204 
 9-9982089 
 9-9981974 
 9-9981859 
 9-9981743 
 9981626 
 9-9981510 
 9-9981393 
 9-9981275 
 9-9981158 
 9-9981040 
 9-9980921 
 9-9980802 
 9-9980683 
 
 9-9980563 
 9980443 
 9980323 
 9-9980202 
 9-9980081 
 9979960 
 9-9979838 
 9-9979716 
 9-9979593 
 9-9979470 
 9-9979347 
 9979223 
 9-9979099 
 9-9978975 
 9-9978850 
 9-9978725 
 9-9978599 
 9-9978473 
 9-9978347 
 9-9978220 
 9-9978093 
 9-9977966 
 9-9977838 
 9-9977710 
 9-9977582 
 9-9977453 
 9977323 
 9-9977194 
 9-9977064 
 9-9976933 
 9-9976803 
 9-9976672 
 9-9976540 
 9-9976408 
 9-9976276 
 9-9976143 
 
 Sine 
 
 3Lg 
 
 Deg, 84. 
 
(^:6()) 6 Peg. NATUfiAL SINES, &C. 
 
 Tab. 10. 
 
 Cotang. 
 
 9-5I436'45 
 9-48;8149 
 9-46141 16 
 9-4351531 
 9-4090384 
 9-3830663 
 9-3572355 
 
 9-3615450 
 9-3059936 
 9-2805802 
 9-2553035 
 9-2301627 
 9-2051564 
 9-1802838 
 9-1555436 
 9-1309348 
 9-1064564 
 9-0821074 
 9-0578867 
 9-0337933 
 9-0098261 
 8-9859843 
 8-9622668 
 8-9386726 
 8-9152009 
 8-8918505 
 8-8686206 
 8-8455103 
 8-8225186 
 8-7996446 
 8-7768874 
 8-7542461 
 8-7317198 
 8-7093077 
 8-6870088 
 8-6648223 
 8-6427475 
 8-6207833 
 8-5989290 
 8-5771838 
 8-5555468 
 8-5340172 
 8-5125943 
 8-4912772 
 8-4700651 
 8-4489573 
 8-4279531 
 8-4070515 
 8-3862519 
 8-3655536 
 8-3449558 
 8-3244577 
 8-3040586 
 8-2837579 
 8-2635547 
 8-2434485 
 8-2234384 
 8-2035239 
 1837041 
 1639786 
 8-1443464 
 
 Tang. 
 
 Secant Vers. D. Cosine 
 
 0059153 
 1-0059472 
 0059792 
 0060113 
 0060435 
 0060757 
 
 0055083 
 0055391 
 0056699 
 0056009 
 0056319 
 0056631 
 0056943 
 0057256 
 0057570 
 0057885 
 0058200 
 0058517 
 0058834 
 
 0061081 
 0061405 
 0061 731 
 0062057 
 0062384 
 0062712 
 0063040 
 0063370 
 0063701 
 0064032 
 0064364 
 0064697 
 0065031 
 0065366 
 0065702 
 0066039 
 0066376 
 0066714 
 0067054 
 0067394 
 0067735 
 0068077 
 0068419 
 0068763 
 0069108 
 0069453 
 0069799 
 0070146 
 0070494 
 0070843 
 0071193 
 0071544 
 0071895 
 0072248 
 0072601 
 0072955 
 0073310 
 0073666 
 0074023 
 0074380 
 0074739 
 0075098 
 
 0054781 
 0055086 
 0055391 
 0055697 
 0056004 
 0056312 
 0056621 
 0056930 
 0057240 
 0057552 
 0057864 
 0058177 
 0058490 
 0058805 
 0059120 
 0059437 
 0059754 
 0060072 
 0060390 
 0060710 
 0061031 
 0061352 
 0061674 
 0061997 
 0062321 
 
 0062645 
 0062971 
 0063297 
 0063625 
 0063953 
 0064281 
 0064611 
 0064942 
 0065273 
 0065605 
 0065938 
 0066272 
 0066607 
 0066943 
 0067279 
 0067616 
 0067955 
 0068294 
 0068633 
 0068974 
 0069315 
 0069658 
 0070001 
 0070345 
 0070690 
 0071035 
 0071382 
 0071729 
 0072078 
 0072427 
 0072776 
 0073127 
 0073479 
 0073831 
 0074184 
 0074538 
 
 Cosec. CoversjD. Sine 
 
 305 
 
 305 
 
 306 
 
 307 
 
 308 
 
 309 
 
 309 
 
 310 
 
 312 
 
 312 
 
 313 
 
 313 
 
 315 
 
 315 
 
 317 
 
 317 
 
 318 
 
 31 
 
 320 
 
 321 
 
 321 
 
 322 
 
 323 
 
 324 
 
 324 
 
 326 
 
 326 
 
 328 
 
 328 
 
 328 
 
 330 
 
 331 
 
 331 
 
 332 
 
 333 
 
 334 
 
 335 
 
 336 
 
 336 
 
 337 
 
 339 
 
 339 
 
 339 
 
 341 
 
 341 
 
 343 
 
 343 
 
 344 
 
 345 
 
 345 
 
 347 
 
 347 
 
 349 
 
 349 
 
 349 
 
 351 
 
 352 
 352 
 353 
 354 
 
 9945219 
 9944914 
 9944609 
 9944303 
 9943996 
 9943688 
 
 9943379 54 
 
 9943070 
 9942760 
 9942448 
 9942136 
 
 9941823 49 
 
 9941510 
 9941195 
 9940880 
 9940563 
 9940246 
 9939928 
 9939610 
 9939290 
 9938969 
 9938648 
 9938326 
 9938003 
 99376f 9 36 
 
 9937355 
 9937029 
 9936703 
 9936375 
 9936047 
 9935719 
 9935389 
 9935058 
 9934727 
 9934395 
 9934062 
 9933728 
 9933393 
 9933057 
 9932721 
 9932384 
 9932045 
 9931706 
 
 9931367 
 9931026 
 9930685 
 9930342 
 9929999 
 9929655 
 9929310 
 9928965 
 9928618 
 9928271 
 9927922 
 9927573 
 9927224 
 9926873 
 9926521 
 9926169 
 9925816 
 9925462 
 
 Deg. 82. 
 
6 Beg:. 
 
 lOG. SINES, Sec, 
 
 (Q6\) 
 
 Sine 
 
 9-0192346 
 9-0204348 
 9-0216318 
 9-0228254 
 9-0240157 
 9-0252027 
 9-026'3865 
 9'0275669 
 9-0287442 
 9-0299182 
 9-0310890 
 9-0322567 
 9-0334212 
 
 9-0345825 
 9-0357407 
 9-0368958 
 9-0380477 
 9-0391966 
 
 0403424 
 9-0414852 
 9-0426249 
 9-0437617 
 
 0448954 
 9-0460261 
 
 0471538 
 
 9-0482786 
 9-0494005 
 9-0505194 
 9-0516354 
 9-0527485 
 9-0538588 
 9-0549661 
 9-0560706 
 9-0571723 
 9-0582711 
 9-0593672 
 9-0604604 
 9-0615509 
 9-0C26386 
 9-0637235 
 9-0648057 
 9-0658852 
 0669619 
 9-0680360 
 
 Diii' 
 
 449-0691074 
 9-0701761 
 9-0712421 
 9-0723055 
 •0733663 
 9-0744244 
 9-0754799 
 9-0765329 
 9-0775832 
 9-0786310 
 
 549-0796762 
 
 55 9-0807189 
 
 56 9-0817590 
 9-0827966 
 9-0838317 
 9-0848643 
 9-0858945 
 
 12002 
 11970 
 11936 
 11903 
 11870 
 11838 
 11804 
 
 11773 
 11740 
 11708 
 11677 
 11645 
 11613 
 1 1582 
 11551 
 11519 
 11489 
 11458 
 11428 
 
 11397 
 11368 
 11337 
 11307 
 11277 
 11248 
 11219 
 11189 
 11160 
 11131 
 11103 
 11073 
 11045 
 11017 
 10988 
 10961 
 10932 
 10905 
 
 10877 
 10849 
 10822 
 10795 
 10767 
 10741 
 10714 
 10687 
 10660 
 10634 
 10608 
 10581 
 10555 
 10530 
 10503 
 10478 
 10452 
 10427 
 10401 
 10376 
 10351 
 10326 
 10302 
 
 Cosec. 
 
 10-9807654 
 10-9795652 
 10-9783682 
 10-9771746 
 10-9759843 
 10-9747973 
 10-973613^ 
 10-9724331 
 10-9712558 
 10-9700818 
 10-9689110 
 10-9677433 
 10-9665788 
 
 10-9654175 
 10-9642593 
 10-9631042 
 10-9619523 
 10-9608034 
 10-9596576 
 
 10-9585148 
 10-9573751 
 10-9562383 
 10-9551046 
 10-9539739 
 10-9528462 
 
 I0-95I7214 
 10-9505995 
 10-9494806 
 10-9483646 
 10-9472515 
 10-9461412 
 
 10-9450339 
 10-9439294 
 10-9428277 
 10-9417289 
 10-9406328 
 10-9395396 
 
 10-9384491 
 10-9373614 
 10-936276 
 10-9351943 
 10-9341148 
 10-9330381 
 10-9319640 
 10-9308926 
 10-9298239 
 10-9287579 
 10-9276945 
 10-9266337 
 10-9255756 
 10-9245201 
 10-9234671 
 10-9224168 
 10-9213690 
 10-9203238 
 10-9192811 
 10-9182410 
 10-9172034 
 10 9161683 
 10-9151357 
 10-9141055 
 
 Verseds. 
 
 7-7386303 
 7-7410375 
 7-7434380 
 7-7458319 
 7-7482192 
 7-7505999 
 7-7529742 
 7-7553419 
 7-7577031 
 7-7600580 
 7-7624064 
 7-7647485 
 7-7670843 
 
 7-7694138 
 7-7717371 
 7-7740641 
 
 T; 
 
 anir. 
 
 7-776364& 9-0406506 
 
 7-77S6696 
 7-7809682 
 
 7-7832607 
 7-7855472 
 7-7878276 
 7-7901020 
 7-7923705 
 7-7946331 
 7-7968897 
 7-7991405 
 7-8013855 
 7-8036246 
 7-8058580 
 7-8080856 
 7-8103075 
 7-8125237 
 7-8147343 
 7-8169392 
 7-8191386 
 7-8213323 
 7-8235205 
 7-8257032 
 7-8278804 
 7-8300522 
 7-8322185 
 7-8343794 
 7-8365349 
 7-8386851 
 7-8408299 
 7-8429695 
 7-8451037 
 7-8472327 
 7-8493565 
 7-8514751 
 7-8535885 
 7-8556968 
 7-8577999 
 7-8598980 
 7-8619910 
 7-8640789 
 7-8661618 
 7-8682397 
 7-8703126 
 7-8723806 
 
 0216202 
 
 0228338 
 
 9-0240441 
 
 9-0252510 
 
 9-0264548 
 
 9-0276552 
 
 9-0288524 
 
 9-0300464 
 
 9-0312373 
 
 9-0324249 
 
 9-0336093 
 
 0347906 
 
 9-0359688 
 
 0371439 
 
 0383159 
 
 9-0394848 
 
 Diff, Cotanj 
 
 9-0418134 
 9-0429731 
 9-0441299 
 9-0452836 
 9-0464343 
 9-0475821 
 9-0487270 
 9-0498689 
 9-0510078 
 9-0521439 
 9-053277 
 9-0544074 
 9-0555349 
 9-0566595 
 9-0577813 
 9-0589002 
 9-0600164 
 9-0611297 
 0622403 
 0633482 
 
 9-0644533 
 9-0655556 
 9-0666553 
 9-0677522 
 9-0688465 
 9-0699381 
 9-0710270 
 9-0721133 
 
 0731969 
 9-0742779 
 9-0753563 
 
 0764321 
 
 9-0775053 
 9-0785760 
 9-0796441 
 9-0807096 
 9-0817726 
 9-0828331 
 9-0838911 
 9-0849466 
 9-0859996 
 9-0870501 
 9-0880981 
 9-0891438 
 
 12136 
 12103 
 12069 
 12038 
 12004 
 11972 
 11940 
 11909 
 1 1 876 
 11844 
 11813 
 11782 
 11751 
 11720 
 11689 
 11658 
 11628 
 11597 
 11568 
 
 11537 
 11507 
 11478 
 11449 
 11419 
 11389 
 11361 
 11332 
 11303 
 11275 
 11246 
 11218 
 11189 
 11162 
 11133 
 11106 
 11079 
 11051 
 11023 
 10997 
 10969 
 10943 
 10916 
 10889 
 
 10863 
 10836 
 10810 
 10784 
 10758 
 10732 
 10707 
 10681 
 10655 
 10630 
 10605 
 10580 
 10555 
 10530 
 10505 
 10480 
 10457 
 
 10-9783798 
 10-9771662 
 10-9759559 
 10-9747490 
 10-9735452 
 10-9723448 
 10-9711476 
 10-9699536 
 10-9687627 
 10-9675751 
 10-9663907 
 10-9652094 
 10-9640312 
 10-9628561 
 10-9616841 
 10-9605152 
 10-9593494 
 10-9581866 
 10-9570269 
 10-9558701 
 10-9547164 
 10-9535657 
 10-9524179 
 10-9512730 
 10-9501311 
 10-9489922 
 10-9478561 
 10-9467229 
 10-9455926 
 10-9444651 
 10-9433405 
 10-9422187 
 10-9410998 
 10-9399836 
 10-9388703 
 10-9377597 
 10-9366518 
 
 10-9355467 
 10-9344444 
 10-9333447 
 10-9322478 
 10-9311535 
 10-9300619 
 
 Covers. 
 
 10-9289730 
 10-9278867 
 10-9268031 
 10-9257221 
 10-9246437 
 10-9235679 
 10-9224947 
 10-9214240 
 10-9203559 
 10-9192904 
 10-9182274 
 10-9171669 
 10-9161089 
 10-9150534 
 10-9140004 
 10-9129499 
 10-9119019 
 10-9108562 
 
 9-9520518 
 9-9519115 
 9-9517711 
 9-9516307 
 9-9514902 
 9-9513497 
 9.9512092 
 9-9510686 
 9-9509280 
 9-9507874 
 9-9506467 
 9-9505059 
 9-9503652 
 
 9-9502243 
 9-9500835 
 9-9499426 
 9-9498016 
 9-9496607 
 9-9495196 
 9-9493786 
 9-9492375 
 
 9490963 
 9-9489551 
 9-9488139 
 9-9486726 
 9-9485313 
 9-9483899 
 9-9482486 
 
 9481071 
 9-9479656 
 
 9478241 
 9-9476825 
 9-9475409 
 9-9473993 
 9-9472576 
 9-9471159 
 9-9469741 
 
 9-9468323 
 9-9466904 
 9-9465486 
 9-9464066 
 9462646 
 9-9461226 
 9-9459806 
 9-9458385 
 9-9456963 
 9-9455541 
 9-9454119 
 9-9452696 
 9-9451273 
 9-9449850 
 9-9448426 
 9-9447001 
 9-9445577 
 9-9444151 
 9-9442726 
 9-9441300 
 9-9439873 
 9-9438446 
 9437019 
 9435591 
 
 ^ecant 
 
 iO-0023857 
 10-0023989 
 10-0024123 
 10-0024257 
 10-0024391 
 10-0024525 
 10-0024660 
 10-0024795 
 10-0024931 
 10-0025067 
 10-0025203 
 10-0025340 
 10-0025477 
 10-0025614 
 10-0025752 
 10-0025890 
 10-0026029 
 10-0026167 
 10-0026307 
 10-0026446 
 10-0026586 
 10-0026727 
 10-0026868 
 10-0027009 
 10-0027150 
 
 10-0027292 
 10-0027434 
 10-0027577 
 10-0027720 
 10-0027863 
 10-0028007 
 10-0028151 
 10-0028296 
 10-0028441 
 10-0028586 
 10-0028732 
 10-0028878 
 10-0029024 
 10-0029171 
 10-0029318 
 10-0029466 
 10-0029613 
 10-0029761 
 10-0029910 
 10-0030059 
 10-0030208 
 10-0030358 
 10-0030508 
 10-0030658 
 10-0030809 
 10-0030960 
 10-0031112 
 10-0031264 
 10-0031416 
 10-0031569 
 10-0031722 
 10-0031875 
 10-0032029 
 10-0032183 
 10-0033338 
 10-0032493 
 
 D. 
 
 132 
 
 134 
 
 134 
 
 134 
 
 134 
 
 135 
 
 135 
 
 136 
 
 136 
 
 136 
 
 137 
 
 137 
 
 137 
 
 138 
 
 138 
 
 139 
 
 138 
 
 140 
 
 139 
 
 140 
 
 141 
 
 141 
 
 141 
 
 141 
 
 142 
 
 142 
 
 143 
 
 143 
 
 143 
 
 144 
 
 144 
 
 145 
 
 145 
 
 145 
 
 146 
 
 146 
 
 146 
 
 147 
 
 147 
 
 147 
 
 148 
 
 148 
 
 149 
 
 149 
 
 149 
 
 150 
 
 150 
 
 150 
 
 151 
 
 151 
 
 152 
 
 152 
 
 152 
 
 153 
 
 153 
 
 153 
 
 154 
 
 154 
 
 155 
 
 155 
 
 Cosine 
 
 9-9976143 
 9-9976011 
 9-9975877 
 9-9975743 
 9-9975609 
 9-9975475 
 9-9975340 
 9-997520 
 9-9975069 
 9-9974933 
 9-9974797 
 9-9974660 
 9-9974523 
 9-9974386 
 9974248 
 9-9974110 
 9-9973971 
 9-9973833 
 9-9973693 
 9-9973554 
 9-9973414 
 9-9973273 
 9-9973132 
 9-9972991 
 9-9972860 
 9-9972708 
 9-9972566 
 9-9972423 
 9-9972280 
 9-9972137 
 9-9971993 
 9-9971849 
 9-9971704 
 9971559 
 9-9971414 
 9-9971268 
 9971122 
 9-9970976 
 9-9970829 
 9-9970682 
 9-9970535 
 9-9970387 
 9-9970239 
 9-9970090 
 9-9969941 
 9-9969792 
 9-9969642 
 9-9969492 
 9-9969342 
 9-9969191 
 9-9969040 
 9-9968888 
 9968736 
 9-9968584 
 9-9968431 
 
 9-9968278 
 9-9968125 
 9-9967971 
 9967817 
 9967662 
 9-9967567 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 
 35 
 
 34 
 
 33 
 
 32 
 
 31 
 
 30 
 
 29 
 
 28 
 
 27 
 
 26 
 
 25 
 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 
 19 
 
 18 
 
 17 
 
 16 
 
 15 
 
 14 
 
 13 
 
 12 
 
 1: 
 
 10 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 
 4 
 
 3 
 
 2 
 
 1 
 
 
 
 Cosine Diff. Secant Covers. jCotang, 
 
 Diff 
 
 rang. |Verseds.| Cosec. D. Sine ' 
 
 ■ I I I ■ — I ] I III' II... ■■ - . !■ , { 
 
 Deg. 83. ' 
 
(26i) 7 Deg. 
 
 NATURAL SINES, &C. 
 
 Tab. 10. 
 
 0| 12 186*93 
 1221 581 
 1224466 
 1227355 
 1230241 
 1233128 
 1236015 
 
 Sine 
 
 1238901 
 1241783 
 1244674 
 1247560 
 1250446 
 1253332 
 1256218 
 1259104 
 1261990 
 1264875 
 1267761 
 1270646 
 1273531 
 1276416 
 1279302 
 1282186 
 1285071 
 1287956 
 1290841 
 1293725 
 1296609 
 1299494 
 1302378 
 1305262 
 1308146 
 1311030 
 1313913 
 1316797 
 1319681 
 1322564 
 1325447 
 1328330 
 1331213 
 1334096 
 1336979 
 1339862 
 1342744 
 1345627 
 1348509 
 1351392 
 1354274 
 1357156 
 1360038 
 1362919 
 1365801 
 1368683 
 1371564 
 1374445 
 
 1377327 
 1380208 
 1383089 
 1385970 
 1388850 
 1391731 
 
 Cosine 
 
 Dit. 
 
 2888 
 2887 
 2887 
 2886 
 2887 
 2887 
 2886 
 2887 
 2886 
 '.?886 
 2886 
 2886 
 2886 
 2886 
 2886 
 2885 
 2886 
 2885 
 2885 
 2885 
 2886 
 2884 
 2885 
 2885 
 2885 
 2884 
 2884 
 2885 
 2884 
 2884 
 2884 
 2884 
 2883 
 2884 
 2884 
 2883 
 2883 
 2883 
 2883 
 2883 
 2883 
 2883 
 2882 
 
 2883 
 2882 
 2883 
 2882 
 2882 
 2882 
 2881 
 2882 
 2882 
 2881 
 2881 
 2882 
 2881 
 2881 
 2881 
 2880 
 2881 
 
 8781307 
 8778419 
 8775532 
 8772645 
 8769759 
 8766872 
 8763985 
 8761099 
 8758212 
 8755326 
 8752440 
 8749554 
 8746668 
 8743782 
 
 Dif. 
 
 Covei-j; 
 
 8-2055090 
 8-1861157 
 8-1668145 
 8-1476048 
 8-1284860 
 8-1094573 
 8-0905182 
 8-0716681 
 8-0529062 
 8-0342321 
 8-0156450 
 7-9971445 
 7-9787298 
 7-9604003 
 8740896 7-9421556 
 
 8738010 
 8735125 
 8732239 
 8729354 
 8726469 
 8723584 
 8720698 
 8717814 
 8714929 
 8712044 
 8709159 
 8706275 
 8703391 
 8700506 
 8697622 
 8694738 
 8691854 
 8688970 
 8686087 
 8683203 
 8680319 
 8677436 
 8674553 
 8671670 
 8668787 
 8665904 
 8663021 
 8660138 
 8657256 
 8654373 
 8651491 
 8648608 
 8645726 
 8642844 
 8639962 
 8637081 
 8634199 
 8631317 
 8628436 
 8625555 
 
 8622673 
 8619792 
 8616911 
 8614030 
 8611150 
 8608269 
 
 Vers. 
 
 Cosec. 
 
 7-9239950 
 7-9059179 
 7-8879238 
 7-8700120 
 7-8521821 
 7-8344335 
 7-8167656 
 7-7991778 
 7-7816697 
 7-7642406 
 7-7468901 
 7-7296176 
 7-7124227 
 7-6953047 
 7-6782631 
 7-6612976 
 7-6444075 
 7-6275923 
 7-6108516 
 7-5941849 
 7-5775916 
 7-5610713 
 7-5446236 
 7-5282478 
 7-5119437 
 7-4957106 
 7-4795482 
 7-4634560 
 7-4474335 
 7-4314803 
 7-4155959 
 7-3997798 
 7-3840318 
 7-3683512 
 
 7-3527377 
 7-3371909 
 7-3217102 
 7-3062954 
 7-2909460 
 7-2756616 
 
 7-2604417 
 7-2452859 
 7-2301940 
 7-2151653 
 7-2001996 
 7-1852965 
 
 Secant 
 
 Tang. 
 
 1227846 
 1230798 
 1233752 
 1236705 
 1239658 
 1242612 
 1245566 
 1248520 
 1251474 
 1254429 
 1257384 
 1260339 
 1263294 
 
 1266249 
 
 1269205 
 
 1272161 
 
 1275117 
 
 1278073 
 
 1281030 
 
 1283986 
 
 1286943 
 
 1289900 
 
 1292858 
 
 1295815 
 
 1298773 
 
 1301731 
 
 1304690 
 
 1307648 
 
 1310607 
 
 1313566 
 
 1316525 
 
 1319484 
 
 1322444 
 
 1325404 
 
 1328364 
 
 1331324 
 
 1334285 
 
 1337246 
 
 1340207 
 
 1343168 
 
 1346129 
 
 1349091 
 
 1352053 
 
 1355015 
 
 1357978 
 
 1360940 
 
 1363903 
 
 1366866 
 
 1369830 
 
 1372793 
 
 1375757 
 
 1378721 
 
 138168 
 
 1384650 
 
 138761 
 
 1390580 
 
 1393545 
 
 1396510 
 
 1399476 
 
 1402442 
 
 1405408 
 
 Cotan. 
 
 Cotang. 
 
 8-1443464 
 8-1248071 
 8-1053599 
 8-0860042 
 8-0667394 
 8-0475647 
 8-0284796 
 0094835 
 7-9905756 
 7-9717555 
 7-9530224 
 7-9343758 
 7-9158151 
 7-8973396 
 7-8789489 
 7-8606423 
 7-8424191 
 7-8242790 
 7-8062212 
 
 7-7882453 
 7-7703506 
 7-7525366 
 7-7348028 
 7-7171486 
 7-6995735 
 7-6820769 
 7-6646584 
 7-6473174 
 7-6300533 
 7-6128657 
 7-5957541 
 
 7-5787178 
 7-5617567 
 7-5448699 
 7-5280571 
 7-5113178 
 7-4946614 
 
 7-4780576 
 7-4615357 
 7-4450855 
 7-4287064 
 7-4123978 
 7-3961595 
 7-3799909 
 7-3638916 
 7-3478610 
 7-3318989 
 7-3160047 
 7-3001780 
 
 7-2844184 
 7-2687255 
 7-2530987 
 7-2375378 
 7-2220422 
 7-2066116 
 7-1912456 
 7-1759437 
 7-1607066 
 7-1455308 
 7-1304190 
 7- 11 53697 
 
 Tang. 
 
 Secant 
 
 Vers. 
 
 1-0075098 
 1-0075459 
 1-0075820 
 1-0076182 
 1 •0076545 
 1-0076908 
 1-0077273 
 1-0077639 
 1-0078005 
 1-0078372 
 1-0078741 
 1-0079110 
 1-0079480 
 1-0079851 
 1-0080222 
 1-0080595 
 1-0080968 
 1-0081343 
 1-0081718 
 1-0082094 
 1-0082471 
 1-0082849 
 1-0083228 
 1-0083607 
 1-0083988 
 1-0084369 
 1-0084752 
 1-0085136 
 1-0085519 
 1-0085904 
 1-0086290 
 1-0086676 
 1-0087064 
 1-0087452 
 1-0087842 
 1-0088232 
 1-0088623 
 1-0089015 
 1-0089408 
 1-0089802 
 1-0090196 
 1-0090692 
 1-0090988 
 1-0091386 
 1-0091784 
 1-0092183 
 1-0092683 
 1-0092984 
 1-0093386 
 
 1-0093788 
 1-0094192 
 1-0094596 
 1-0095001 
 1-0095408 
 1-0095815 
 1-0096223 
 1-0096631 
 1-0097041 
 1-0097452 
 1-0097863 
 1-0098276 
 
 Cosec. 
 
 D. 
 
 0074538 
 0074893 
 0075249 
 0075606 
 0075963 
 0076321 
 0076681 
 0077041 
 0077401 
 0077763 
 0078126 
 0078489 
 0078853 
 0079218 
 0079584 
 0079951 
 0080318 
 0080686 
 0081056 
 0081426 
 0081796 
 0082168 
 0082541 
 0082914 
 0083288 
 0083663 
 0084039 
 0084416 
 0084794 
 0085172 
 0085551 
 0085931 
 0086312 
 0086694 
 0087077 
 0087460 
 0087846 
 0088230 
 0088616 
 0089003 
 0089390 
 0089779 
 0090168 
 0090558 
 0090949 
 0091341 
 0091734 
 0092127 
 0092522 
 
 0092917 
 0093313 
 0093710 
 0094107 
 0094506 
 0094905 
 Q095306 
 0096707 
 0096109 
 0096511 
 0096915 
 0097319 
 
 Cosine 
 
 355 
 '^56 
 357 
 357 
 358 
 360 
 360 
 360 
 362 
 363 
 363 
 364 
 365 
 366 
 367 
 367 
 368 
 370 
 370 
 370 
 372 
 373 
 373 
 374 
 375 
 376 
 377 
 378 
 378 
 379 
 380 
 381 
 382 
 383 
 383 
 385 
 385 
 386 
 387 
 387 
 389 
 389 
 390 
 391 
 392 
 393 
 393 
 395 
 395 
 396 
 397 
 397 
 399 
 399 
 401 
 401 
 402 
 402 
 404 
 404 
 
 Covers 
 
 9926462 
 
 9925107 
 
 9924751 
 
 9924394 
 
 9924037 
 
 9923679 
 
 9923319: 
 
 9922969 , 
 
 9922599 
 
 9922237 
 
 9921874 
 
 9921511 
 
 9921147 
 
 9920782 
 
 9920416. 
 
 9920049 - 
 
 9919682- 
 
 9919314, 
 
 9918944 
 
 9918674 
 
 9918204 
 
 9917832 
 
 9917469 
 
 9917086 
 
 9916712 
 
 9916337 
 9915961 
 9915584; 
 9915206; 
 9914828 
 9914449 
 9914069 
 9913688 
 9913306: 
 9912923 
 9912540 25 
 24 
 
 D. 
 
 9912165 
 9911770 
 9911384 
 9910997 
 9910610 
 9910221 
 9909832 
 9909442 
 9909051 
 9908669 
 9908266 
 9907873 
 9907478 
 9907083 
 9906687 
 9906290 
 9905893 
 9906494 
 9905095 
 9904694 
 9904293 
 9903891 
 9903489 
 9903085 
 9902681 
 
 Sine 
 
 Dee. 82. 
 
L0€. SINES, kc. 
 
 (^6i 
 
 Sine IDiff. 
 
 Cosec. Verseds. 
 
 Tang. Diff. 
 
 Cotang. Covers 
 
 Secant D. Cosine 
 
 10276 
 10252 
 10227 
 10203 
 10179 
 10155 
 10130 
 
 10107 
 10082 
 10059 
 10036 
 10011 
 9989 
 9965 
 9942 
 9919 
 9896 
 9873 
 9850 
 9828 
 9805 
 9783 
 9760 
 9738 
 9716 
 9694 
 9672 
 9650 
 9628 
 9607 
 9585 
 9563 
 9542 
 9521 
 9500 
 9479 
 9457 
 9437 
 9416 
 9395 
 9374 
 9354 
 9334 
 9313 
 9292 
 9273 
 9252 
 9233 
 9212 
 9193 
 9173 
 9153 
 9133 
 9114 
 9095 
 9075 
 9056 
 9036 
 901 
 8998 
 
 10-9141055 
 10-9130779 
 10-9120527 
 
 0-9110300 
 10-9100097 
 
 0-9089918 
 10-9079763 
 10-9069633 
 10-9059526 
 10-9049444 
 10-9039385 
 10-9029349 
 10-9019338 
 10-9009349 
 10-8999384 
 10-8989442 
 10-8979523 
 10-8969627 
 10-8959754 
 10-8949904 
 10-8940076 
 10-8930271 
 10-8920488 
 10-8910728 
 10-8900990 
 10-8891274 
 10-8881580 
 10-8871908 
 10-8862258 
 10-8852630 
 10-8843023 
 10-8833438 
 10-8823875 
 10-8814333 
 10-8804812 
 10-8795312 
 10-8785833 
 10-8776376 
 10-8766939 
 10-8757523 
 10-8748128 
 10-8738754 
 10-8729400 
 
 7-8723806 
 7.8744436 
 7-8765017 
 7-8785550 
 7-8806033 
 7-8826469 
 7-8846856 
 7-8867196 
 7-8887487 
 7-8907732 
 7-8927928 
 7-8948078 
 7-8968181 
 
 8988238 
 9008248 
 9028212 
 9048130 
 9068002 
 9087829 
 9107610 
 9127346 
 9147038 
 9166684 
 9186286 
 9205844 
 
 7- 
 
 7- 
 
 7- 
 
 7" 
 
 7- 
 
 7- 
 
 7- 
 
 7- 
 
 7- 
 
 7" 
 
 7" 
 
 7- 
 
 7-9225358 
 
 7-9244827 
 
 7-9264253 
 
 7-9283636 
 
 7-9302975 
 
 7-9322271 
 
 7-9341523 
 
 7-9360734 
 
 7-9379901 
 
 7-9399027 
 
 7-9418110 
 
 7-9437151 
 
 7-9456150 
 
 7-9475107 
 
 7-9494023 
 
 7-9512898 
 
 7-9531732 
 
 7-9550525 
 
 9-0891438 
 9-0901869 
 9-0912277 
 9-0922660 
 9-0933020 
 9-0943355 
 9-0953667 
 9-096395 
 9-0974219 
 0984460 
 9-0994678 
 1004872 
 9-1015044 
 9-1025192 
 9-1035317 
 9-1045420 
 9-1055500 
 1065557 
 9-1075591 
 9-1085604 
 9-1095594 
 9-1105562 
 9-1115508 
 9-1125431 
 9-1135333 
 1145213 
 1155072 
 1164909 
 1174724 
 1184518 
 1194291 
 
 10-8720066 7-9569276 
 
 10-8710753 
 10-8701461 
 10-8692188 
 10-8682936 
 10-8673703 
 10-8664491 
 10-8655298 
 10-8646125 
 10-8636972 
 10-8627839 
 10-8618725 
 10-8609630 
 10-8600555 
 10-8591499 
 10-8582463 
 10-8573445 
 10-8564447 
 
 7-9587988 
 7-9606659 
 7-9625290 
 7-9643880 
 7-9662431 
 7-9680942 
 7-9699414 
 7-9717846 
 7-9736239 
 7-9754593 
 7-9772908 
 7-9791184 
 7-9809422 
 7-9827621 
 7-9845782 
 7-9863905 
 7-9881990 
 
 9-1204043 
 9-1213773 
 9-1223482 
 9-1233171 
 1242839 
 9-1252486 
 9-1262112 
 9-1271718 
 9-1281303 
 9-1290868 
 9-1300413 
 9-1309937 
 9-1319442 
 9-1328926 
 9-1338391 
 9-1347835 
 9-1357260 
 9-1366665 
 9-1376051 
 9-1385417 
 1394764 
 1404092 
 9-1413400 
 9-1422689 
 9-1431959 
 9-1441210 
 9-1450442 
 9-1459655 
 9-1468849 
 9-1478025 
 
 10431 
 
 10408 
 
 10383 
 
 10360 
 
 10335 
 
 10312 
 
 10288 
 
 10264 
 
 10241 
 
 10218 
 
 10194 
 
 10172 
 
 10148 
 
 10125 
 
 10103 
 
 10080 
 
 10057 
 
 10034 
 
 10013 
 
 9990 
 
 9968 
 
 9946 
 
 9923 
 
 9902 
 
 9880 
 
 9859 
 
 9837 
 
 9815 
 
 9794 
 
 9773 
 
 9752 
 
 9730 
 
 9709 
 
 9689 
 
 9668 
 
 9647 
 
 9626 
 
 9606 
 9585 
 9565 
 9545 
 9524 
 9505 
 9484 
 9465 
 9444 
 9425 
 9405 
 9386 
 9366 
 9347 
 9328 
 9308 
 9289 
 9270 
 9251 
 9232 
 9213 
 9194 
 9176 
 
 10-9108562 
 J 0-9098 131 
 10-9087723 
 10-9077340 
 10-9066980 
 10-9056645 
 10-9046333 
 10-9036045 
 10-9025781 
 10-9015540 
 10-9005322 
 10-8995128 
 10-8984956 
 10-8974808 
 10-8964683 
 10-8954580 
 10-8944500 
 10-8934443 
 10-8924409 
 10-8914396 
 10-8904406 
 10-8894438 
 10-8884492 
 10-8874569 
 10-8864667 
 10-8854787 
 10-8844928 
 10-8835091 
 10-8825276 
 10-8815482 
 10-8805709 
 
 10-8795957 
 10-8786227 
 10-8776518 
 10-8766829 
 10-8757161 
 10-8747514 
 
 10-3737888 
 10-8728282 
 10-8718697 
 10-8709132 
 10-8699587 
 10-8690063 
 10-8680558 
 10-8671074 
 10-8661609 
 10-8652165 
 10-8642740 
 10-8633335 
 10-8623949 
 10-8614583 
 10-8605236 
 10-8595908 
 10-8586600 
 10-8577311 
 10-8568041 
 10-8558790 
 10-8549558 
 10-8540345 
 10-8531151 
 10-8521975 
 
 9435591 
 9-9434163 
 
 9432736 
 9-9431306 
 9-9429876 
 9-9428447 
 9-9427016 
 9-9425586 
 9-9424155 
 9-9422723 
 9-9421291 
 9-9419859 
 9-9418426 
 9-9416993 
 9-9415560 
 9-9414126 
 
 9412691 
 9-9411256 
 9-9409821 
 
 9-9408385 
 9-9406949 
 9-9405513 
 9-9404076 
 9-9402638 
 9-9401201 
 9-9399762 
 9-9398324 
 9-9396885 
 9-9395445 
 9-9394005 
 9-9392565 
 9-9391124 
 9-9389683 
 9-9388242 
 9-9386800 
 9-9385357 
 9-9383914 
 
 9-9382471 
 
 9-9381027 
 
 9-9379583 
 
 9-9378139 
 
 '9376694 
 
 •9375248 
 
 •9373802 
 
 •9372356 
 
 •9370909 
 
 •9369462 
 
 •9368015 
 
 ■9366567 
 
 9-9365119 
 9-9363670 
 9-9362220 
 9-9360771 
 9-9359321 
 9-9357870 
 9-9356419 
 9-9354968 
 9-9353516 
 9-9352064 
 9-9350611 
 9-9349158 
 
 10-0032493 
 10-0032648 
 10-0032804 
 10-0032960 
 10-0033116 
 10-0033273 
 10-0033430 
 10-0033588 
 10-0033746 
 10-0033904 
 10-0034063 
 10-0034222 
 10-0034381 
 10-0034541 
 10-0034701 
 10-0034862 
 10-0035023 
 10-0035184 
 10-0035345 
 
 10-0035507 
 10-0035670 
 10-0035833 
 10-0035996 
 10-0036159 
 10-0036323 
 
 10-0036487 
 10-0036652 
 10-0036817 
 10-0036982 
 10-0037148 
 10-0037314 
 10-0037481 
 100037648 
 10-003781.'] 
 10-0037983 
 10-0038151 
 10-0038319 
 10-0038488 
 10-0038657 
 10-0038826 
 10-0038996 
 10-0039166 
 10-0039337 
 10-0039508 
 10-0039679 
 10-0039851 
 10-0040023 
 10-0040196 
 10-0040369 
 10-0040542 
 10-0040716 
 10-0040889 
 10-0041064 
 10-0041239 
 10-0041414 
 
 10-0041589 
 10-0041765 
 10-0041941 
 10-0042118 
 10-0042295 
 10-0042472 
 
 155 
 156 
 156 
 156 
 157 
 157 
 158 
 158 
 158 
 159 
 159 
 159 
 160 
 160 
 161 
 161 
 161 
 161 
 162 
 163 
 163 
 163 
 163 
 164 
 164 
 165 
 165 
 165 
 166 
 166 
 167 
 167 
 167 
 168 
 168 
 168 
 169 
 169 
 169 
 170 
 170 
 171 
 171 
 171 
 172 
 172 
 173 
 173 
 173 
 174 
 173 
 175 
 175 
 175 
 175 
 176 
 176 
 177 
 177 
 177 
 
 9-9967507 
 9-9967352 
 9-9967196 
 9-9967040 
 9-9966884 
 9-9966727 
 9-9966570 
 9-9966412 
 9-996625^1 
 9-9966096 
 9-9965937 
 9-9965778 
 9-996561S 
 
 9-996545S 
 9-996529S 
 9-9965138 
 9-9964977 
 9-9964816 
 9-9964655 
 9-9964493 
 9-9964330 
 9-9964167 
 9-9964004 
 9-9963841 
 9-9963677 
 9-9963513 
 9-9963348 
 9-9963183 
 9-9963018 
 9-9962852 
 9-9962686 
 9-99625 IS 
 9-9962355 
 9-9962182 
 9-9962017 
 9-996184E 
 9-9961681 
 9-996151!^ 
 9-9961342 
 9-996117^ 
 9-9961004 
 9-9960834 
 9-996066S 
 9-9960495 
 9-9960321 
 9-996014S 
 9-9959977 
 9-9959804 
 9-9959631 
 9-9959458 
 9-9969284 
 9-9959111 
 9-9958936 
 9-9958761 
 9-9958586 
 9-9958411 
 9-9958235 
 9-9958059 
 9-9957882 
 9-9957705 
 9-9957628 
 
 Cosine Diff. Secant 
 
 Covers, 
 
 Cotang. Diff. 
 
 Tang. 
 
 Verseds. Cosec. D. Sine 
 
(264) 8 Peg. NATURAL SINES, &C. 
 
 Tab. 10. 
 
 ' Sine Dif. Covers Cosec. Tang 
 
 1391731 
 1394612 
 1397492 
 1400372 
 1403252 
 1406*132 
 1409012 
 1411892 
 1414772 
 1417651 
 1420531 
 1423410 
 14262S9 
 1429168 
 1432047 
 1434926 
 1437805 
 1440684 
 1443562 
 1446440 
 14493)9 
 1452197 
 1455075 
 1457953 
 1460830 
 1463708 
 1466585 
 1469463 
 1472340 
 1475217 
 1478094 
 1480971 
 1483848 
 1486724 
 1489601 
 1492477 
 1495353 
 1498230 
 1501106 
 1503981 
 1506857 
 1509733 
 1512608 
 1515484 
 1518359 
 1521234 
 1524109 
 1526984 
 1529858 
 1532733 
 1535607 
 1538482 
 1541356 
 1544230 
 1547104 
 
 1549978 
 
 155285 
 
 1555725 
 
 1558598 
 
 1561472 
 
 156434= 
 
 Cosine 
 
 2881 
 2880 
 2880 
 2880 
 2880 
 2880 
 2880 
 2880 
 2879 
 2880 
 2879 
 2879 
 2879 
 2879 
 2879 
 2879 
 2879 
 2878 
 2878 
 2879 
 2878 
 2878 
 2878 
 2877 
 2878 
 2877 
 2878 
 2877 
 2877 
 2877 
 2877 
 2877 
 2876 
 
 2877 
 2876 
 2875 
 2876 
 2876 
 2875 
 2876 
 2875 
 2875 
 2875 
 2875 
 2874 
 2875 
 2874 
 2875 
 2874 
 2874 
 2874 
 2874 
 2873 
 2874 
 2873 
 2874 
 2873 
 
 8608269 
 8605388 
 8602508 
 8599628 
 8596748 
 8593868 
 8590988 
 8588108 
 8585228 
 8582349 
 8579469 
 8576590 
 8573711 
 8570832 
 8567953 
 8565074 
 8562195 
 8559316 
 8556438 
 8553560 
 8550681 
 8547803 
 8544925 
 8542047 
 8539170 
 8536292 
 8533415 
 8530537 
 8527660 
 8524783 
 8o 
 
 8519029 
 516152 
 2P77 8513276 
 $"1^8510399 
 ,,'\ 8507523 
 ^^^^8504647 
 8501770 
 8498894 
 8496019 
 8493143 
 8490267 
 8487392 
 8484516 
 8481641 
 8478766 
 8475891 
 8473016 
 8470142 
 
 8467267 
 
 8464393 
 
 846151 
 
 8458644 
 
 8455770 
 
 8452896 
 
 8450022 
 
 8447149 
 
 8444275 
 
 8441402 
 
 8438528 
 
 8435655 
 
 Dif. 
 
 Vers. 
 
 185296 
 
 1704555 
 
 1556764 
 
 1409587 
 
 1263019 
 
 1117059 
 
 7-0971700 
 7-0826941 
 7-0682777 
 7-0539205 
 7-0396220 
 7-0253820 
 7-0112001 
 6-9970760 
 6-9830092 
 6-9689994 
 6-9550464 
 6-9411496 
 6-9273089 
 6-9135239 
 6-8997942 
 6-8861195 
 6-8724995 
 6-8589338 
 6-8454222 
 6-8319642 
 6-8185597 
 6-8052082 
 6-7919095 
 6-7786632 
 6-7654691 
 
 6-7523268 1497484 
 
 1405408 
 1408376 
 1411342 
 1414308 
 1417276 
 1420243 
 1423211 
 
 1426179 
 1429147 
 1432115 
 1435084 
 1438053 
 1441022 
 1443991 
 1446961 
 1449931 
 1452901 
 1455872 
 1458842 
 
 1461813 
 1464784 
 1467756 
 1470727 
 1473699 
 1476672 
 1479644 
 1482617 
 1485590 
 1488663 
 1491536 
 1494510 
 
 6-7392360 
 6-7261965 
 6-7132079 
 6-7002699 
 6-6873822 
 6-6745446 
 6-66 17568 
 6-6490184 
 6-6363293 
 6-6236890 
 6-6110973 
 6-5985540 
 6-5860587 
 6-5736112 
 6-5612113 
 6-5488586 
 6-5365528 
 
 6-5242938 
 6-5120812 
 6-4999148 
 6-4877944 
 6-4757195 
 6-4636901 
 6-4517059 
 6-4397666 
 6-4278719 
 6-4160216 
 6-4042154 
 6-3924532 
 
 Secant 
 
 1500458 
 1503433 
 1506408 
 1609383 
 1512358 
 1515333 
 1518309 
 1521285 
 1524262 
 1527238 
 1530215 
 1533192 
 1536170 
 1539147 
 1542125 
 1545103 
 1548082 
 1551061 
 1564040 
 1557019 
 1559998 
 1562978 
 1565958 
 1568939 
 1571919 
 1574900 
 1577881 
 1580863 
 1583844 
 
 Cotan. 
 
 Cotang. 
 
 7-115369/ 
 7-1003826 
 7-0854573 
 7-0705934 
 7-0567905 
 7-0410482 
 7-0263662 
 
 •0117441 
 
 -9971806 
 •9826781 
 -9682335 
 •9538473 
 •9395192 
 
 6-9252489 
 6-9110359 
 6-8968799 
 6-8827807 
 6-8687378 
 6-8547508 
 0-8408196 
 6-8269437 
 6-8131227 
 6^7993565 
 6-7856446 
 6-7919867 
 6-7583826 
 
 7448318 
 6-7313341 
 6-7178891 
 
 7044966 
 6-6911562 
 
 6-6646307 
 6-6514449 
 6-6383100 
 6-6252258 
 
 6121919 
 6-5992080 
 
 1862739 
 6-6733892 
 6-5605538 
 6-5477672 
 6-5350293 
 6-5223396 
 6-509698 
 6-4971043 
 6-4845581 
 6-4720591 
 6-4596070 
 
 6-4472017 
 6-4348428 
 6-4226301 
 6-4102633 
 6-3980422 
 6-3858665 
 6-3737359 
 6-3616502 
 6-3496092 
 6-3376126 
 3256601 
 6-31370 15 
 
 Tang. 
 
 Secant Vers. D. Cosine 
 
 0098276 
 0098689 
 0099103 
 0099518 
 0099934 
 0100351 
 0100769 
 
 0101187 
 
 0101607 
 
 0102027 0100997 
 
 0102449 
 
 0102871 
 
 0103294 
 
 0097319 
 0097725 
 0098131 
 0098538 
 0098945 
 0099354 
 0099763 
 
 0100174 
 0100585 
 
 0101410 
 0101823 
 0102238 
 
 0103718 
 0104143 
 0104568 
 0104995 
 0105422 
 0105851 
 0106230 
 0106710 
 0107141 
 0107573 
 0108006 
 0108440 
 
 0108875 
 0109310 
 0109747 
 0110184 
 0110622 
 0111061 
 0111501 
 0111942 
 0112384 
 0112827 
 0113270 
 0113715 
 0114160 
 0114606 
 0115054 
 0115502 
 0115951 
 0116400 
 0116851 
 0117303 
 0117755 
 0118209 
 0118663 
 0119118 
 0119576 
 0120032 
 0120489 
 0120948 
 0121408 
 0121869 
 0122330 
 0122793 
 0123256 
 0123720 
 0124185 
 1-0124651 
 
 0102653 
 0103069 
 0103486 
 0103904 
 0104323 
 0104742 
 0105162 
 0105584 
 0106006 
 0106428 
 0106852 
 0107277 
 0107702 
 0108128 
 0108555 
 0108983 
 0109412 
 0109841 
 0110272 
 0110703 
 0illl35 
 0111568 
 0112002 
 0112436 
 0112872 
 0113308 
 0113745 
 0114183 
 0114622 
 0115061 
 0115502 
 0115943 
 0116385 
 0116828 
 0117272 
 0117716 
 0118162 
 0118608 
 0119055 
 0119503 
 0119952 
 0120401 
 0120852 
 0121303 
 0121755 
 0122208 
 0122662 
 0123117 
 
 406 
 406 
 407 
 407 
 409 
 409 
 411 
 
 411 
 
 412 
 
 413 
 
 413 
 
 415 
 
 415 
 
 416 
 
 417 
 
 418 
 
 419 
 
 419 
 
 420 
 
 422 
 
 422 
 
 422 
 
 424 
 
 425 
 
 425 
 
 426 
 
 42 
 
 428 
 
 429 
 
 429 
 
 431 
 
 431 
 
 432 
 
 433 
 
 434 
 
 434 
 
 436 
 
 436 
 
 437 
 
 438 
 
 439 
 
 439 
 
 441 
 
 441 
 
 442 
 
 443 
 
 444 
 
 444 
 
 446 
 
 446 
 
 447 
 
 448 
 
 449 
 
 449 
 
 451 
 
 451 
 452 
 453 
 454 
 455 
 
 990268 1 
 9902275 
 9901869 
 9901462 
 9901055 
 9900646 
 9900237 
 9899826 
 9899415 
 9899003 
 9898590 
 9898177 
 
 98^7762 48 
 
 9897347 
 9896931 
 98.96514 
 9896096 
 9895677 
 9895258 
 
 9894838 
 9894416 
 9893994 
 9893572 
 9893148 
 9^92723 
 
 9892298 
 9891872 
 9891445 
 9891017 
 9890588 
 9890159 
 9889728 
 9889297 
 ■9888865 
 9888432 
 9887998 
 9887564 
 9887128 
 9886692 
 9886255 
 9885817 
 9885378 
 9884939 
 
 9884498 
 9884057 
 9883615 
 9883172 
 
 9882728 
 9882284 
 
 988183841 
 
 9881392 
 9880945 
 9880497 
 9880048 
 9879599 
 9879148 
 9878697 
 9878246 
 9877792 
 9877338 
 9876883 
 
 Cosec. Covers D. Sine 
 
 1)62. 81. 
 
8 Deer. 
 
 LOG. SINES, &C. 
 
 Sine Dif. 
 
 Cosec. 
 
 Verseds, 
 
 Tang. 
 
 Dif. 
 
 Cotana;. 
 
 Covers. 
 
 Secant D. Cosine 
 
 9-1435553 
 9-1444532 
 9-1453493 
 9-1462435 
 9-1471358 
 9-1480262 
 9-1489148 
 
 9-1498015 
 9-1506«64 
 9-1515694 
 9-1524507 
 9-1533301 
 9-1542076 
 
 13 9-1550834 
 
 14 9-1559574 
 
 9-1568296 
 9-1577000 
 9-1585686 
 9-1594354 
 
 9-1603005 
 9-1611639 
 9-1620254 
 9-1628853 
 
 23 9-1637434 
 
 24 9-1645998 
 
 1654544 
 1663074 
 1671586 
 1680081 
 1688559 
 1697021 
 
 1705465 
 
 1713893 
 9-1722305 
 9-1730699 
 9-1739077 
 9-1747439 
 •1755784 
 
 •1764112 
 9-1772425 
 
 1780721 
 9-1789001 
 
 1797265 
 
 1805512 
 9-1813744 
 9-1821960 
 9-1830160 
 9-1838344 
 9-1846512 
 9-1854665 
 9-1862802 
 9-1870923 
 9-1879029 
 9-1887120 
 9-1895195 
 9-1903254 
 91911299 
 9-1919328 
 9-1927342 
 9-193534 
 
 1943324 
 
 8979 
 3961 
 8942 
 8923 
 8904 
 8886 
 8867 
 8849 
 8830 
 8813 
 8794 
 8775 
 8758 
 8740 
 8722 
 8704 
 8686 
 8668 
 8651 
 8634 
 8615 
 8599 
 8581 
 8564 
 8546 
 8530 
 8512 
 8495 
 8478 
 8462 
 8444 
 8428 
 8412 
 8394 
 8378 
 8362 
 8345 
 8328 
 8313 
 8296 
 8280 
 8264 
 8247 
 8232 
 8216 
 8200 
 8184 
 8168 
 8153 
 8137 
 8121 
 8106 
 8091 
 8075 
 8059 
 8045 
 8029 
 8014 
 7999 
 7983 
 
 10-8564447 
 0-8555468 
 10-8546507 
 10-8537565 
 10-8528642 
 10-8519738 
 10-8510852 
 
 10-8501985 
 10-8493136 
 10-8484306 
 10-8475493 
 10-8466699 
 10-8457924 
 10-8449166 
 10-8440426 
 10-8431704 
 10-8423000 
 
 7-9881990 
 7-9900038 
 7-9918047 
 7-9936020 
 7-9953955 
 7-9971853 
 7-9989713 
 8-0007537 
 8-0025325 
 8-0043076 
 8-0060790 
 8-0078468 
 8-0096110 
 8-0113716 
 8-0131287 
 8-0148822 
 8-0166321 
 
 10-8414314 8-0183785 
 10-8405646 8-0201213 
 
 10-8396995 
 
 10-8388361 
 
 10-8379746 
 
 10-8371147 
 
 10-8362566 
 
 r()-8354002 
 
 10-8345456 
 
 10-8336926 
 
 10-8328414 
 
 10-8319919 
 
 10-8311441 
 
 10-8302979 
 
 10-8294535 
 
 10-8286107 
 
 10-8277695 
 
 10-8269301 
 
 10-8260923 
 
 10-8252561 
 
 10-8244216 
 
 10-8235888 
 
 10-8227575 
 
 10-8219279 
 
 10-8210999 
 
 10-8202735 
 
 10-8194488 
 
 10-8186256 
 
 10-8178040 
 
 10-8169840 
 
 10-8161656 
 
 10-8153488 
 
 10-8145335 
 
 10-8137198 
 
 10-8129077 
 
 10-8120971 
 
 10-8112880 
 
 10-8104805 
 
 10-8096746 
 
 10-8088701 
 
 10-8080672 
 
 10-8072658 
 
 10-806465 
 
 10-8056676 
 
 8-0218607 
 8-0235965 
 8-0253289 
 0270587 
 8-0287833 
 8-0305053 
 
 8-0322239 
 8-0339391 
 8-0356508 
 8-0373592 
 8-0390643 
 8-0407659 
 8-0424642 
 8-0441592 
 8-0458509 
 8-0475393 
 8-0492243 
 8-0509061 
 8-0525846 
 8-0542599 
 
 -0559319 
 8-0576007 
 8-0592663 
 
 •0609286 
 
 8-0625878 
 8-0642438 
 8-0658966 
 0675463 
 8-0691928 
 8-0708362 
 
 8-0724764 
 8-0741136 
 8-0757476 
 8-0773786' 
 8-0790065 
 8-0806313 
 
 Cosine Dif. 
 
 Secant 
 
 9 
 9 
 9 
 
 8-0822531 9' 
 •0838718 9 
 8-0854875 
 8-0871002 
 8-0887099 
 8-0903166 
 
 Covers. Cotanir 
 
 1478025 
 1487182 
 1496321 
 1505441 
 1514543 
 1523627 
 1532692 
 
 1541739 
 1550769 
 1559780 
 1 5G8773 
 1577748 
 1586706 
 
 1595646 
 1604569 
 1613473 
 1622361 
 1631231 
 1640083 
 1648919 
 1657737 
 1666538 
 1675322 
 1684089 
 ■1692839 
 1701572 
 •1710289 
 ■1718989 
 •1727672 
 ■1736338 
 ■1744988 
 1753622 
 ■1762239 
 ■1770840 
 •1779425 
 •1787993 
 •17.96546 
 1805082 
 1813602 
 1822106 
 1830595 
 1839068 
 1847525 
 1855966 
 1864392 
 1872802 
 1881196 
 1889575 
 1897939 
 
 1906287 
 
 1914621 
 
 1922939 
 
 1931241 
 
 1939529 
 
 1947802 
 
 1956059 
 
 1964302 
 
 1972530 
 
 1980743 
 
 19889 
 
 1997125 
 
 9157 
 9139 
 9120 
 9102 
 9084 
 9065 
 9047 
 9030 
 9011 
 8993 
 8975 
 8958 
 8940 
 8923 
 8904 
 
 8870 
 8852 
 8836 
 8818 
 8801 
 8784 
 8767 
 8750 
 8733 
 
 8717 
 8700 
 8683 
 8666 
 8650 
 8634 
 
 8617 
 8601 
 
 8585 
 
 8553 
 8536 
 8520 
 8504 
 8489 
 8473 
 8467 
 8441 
 8426 
 8410 
 8394 
 8379 
 8364 
 8348 
 8334 
 8318 
 8302 
 8288 
 8273 
 8257 
 8243 
 8228 
 8213 
 8198 
 8184 
 
 10-8521975 
 10-8512818 
 10-8503679 
 10-8494559 
 10-8485457 
 10-8476373 
 10-8467308 
 10-8458261 
 10-8449231 
 10-8440220 
 10-8431227 
 10-8422252 
 10-8413294 
 10-8404354 
 10-8395431 
 10-8386527 
 10-8377639 
 10-8368769 
 10-8359917 
 10-8351081 
 10-8342263 
 10-8333462 
 10-8324678 
 10-8315911 
 10-8307161 
 
 10-8298428 
 10-8289711 
 10-8281011 
 10-8272328 
 10-8263662 
 10-8255012 
 
 10-8246378 
 10-8237761 
 10-8229160 
 10-8220575 
 10-8212007 
 10-8203454 
 
 10-8194918 
 10-8186398 
 10-8177894 
 10-8169405 
 10-8160932 
 10-8152475 
 10-8144034 
 10-8135608 
 10-8127198 
 10-8118804 
 10-8110425 
 10-8102061 
 10-8093713 
 1 10-8085379 
 10-8077061 
 10-8068759 
 10-8060471 
 10-8052198 
 
 10-8043941 
 10-8035698 
 10;8027470 
 10-8019257 
 10-8011059 
 n 0-8002875 
 
 Dif. 
 
 9-9349158 
 9-9347705 
 9-9346251 
 
 9344797 
 
 9343342 
 9-9341887 
 9-9340431 
 9-9338975 
 
 9337518 
 
 9336062 
 9-9334604 
 9-9333146 
 9-9331688 
 9-9330230 
 9-9328771 
 
 93273 J 1 
 9-9325851 
 
 9324391 
 9-9322930 
 9-9321469 
 9-9320007 
 9-9318545 
 9-9317083 
 9-9315620 
 9-9314156 
 9-9312693 
 9-9311228 
 9-9309764 
 9-9308299 
 9-9306833 
 
 9305367 
 9-9303901 
 9-9302434 
 9-9300967 
 9-9299499 
 9-929803 
 9-9296563 
 9-9295094 
 9-9293624 
 9-9292155 
 9-9290684 
 9-9289214 
 9-9287743 
 9-928627 
 9-9284799 
 9-9283327 
 9-9281854 
 9-9280380 
 9-9278907 
 9-9277433 
 9-9275958 
 9-9274483 
 9-9273008 
 9-9271532 
 9-9270055 
 9-92r;8579 
 9-9267101 
 9-9265624 
 9-9264146 
 9-9262667 
 9-9261188 
 
 TaniT. 
 
 10-0042472 
 10-0042650 
 10-0042828 
 10-0043007 
 10-0043185 
 10-0043365 
 0-0043544 
 10-0043724 
 10-0043905 
 10-0044085 
 10-0044266 
 10-0044448 
 10-0044630 
 10-0044812 
 10-0044995 
 10-0045178 
 10-0045361 
 10-0045545 
 10-0045729 
 10-0045913 
 10-0046098 
 10-0046283 
 10-0046469 
 10-0046655 
 10-0046841 
 10-0047028 
 10-0047215 
 10-0047403 
 10-0047591 
 10-0047779 
 10-0047967 
 10-0048156 
 10-0048346 
 10-0048536 
 10-0048726 
 10-0048916 
 10-0049107 
 10-0049298 
 10-0049490 
 10-0049682 
 10-0049874 
 10-0050067 
 10-0050260 
 10-0050454 
 10-0050648 
 10-0050842 
 10-0051036 
 10-0051231 
 10-0051427 
 10-0051623 
 10-0051819 
 10-00o2015 
 10-0052212 
 10-0052409 
 10-0052607 
 10-0052805 
 10-0053003 
 10-0053202 
 10-0053401 
 10-0053601 
 10-0053801 
 
 178 
 
 178; 
 178; 
 
 180 
 179 
 180' 
 181 
 
 180 ; 
 
 181 
 
 182 
 182 
 182 
 83 
 183; 
 
 183; 
 184; 
 184; 
 
 184 
 185 
 
 185 
 186 
 186 
 186 
 187 
 187 
 188 
 188 
 188 
 188 
 189 
 190; 
 
 i9o; 
 190 ; 
 i9o; 
 
 191 
 
 191 
 
 192; 
 
 192 
 
 192 
 
 193 
 
 193 
 
 194 
 
 194 
 
 194 
 
 194; 
 
 195; 
 
 196 
 
 196 
 
 196 
 
 196 
 
 197 
 
 197 
 
 198 
 
 198 
 
 198 
 
 199 
 
 199 
 
 200; 
 
 200 
 
 Mseds 
 
 Co>tc. 
 
(^66) 9 Deg. NATURAL sines, &c. 
 
 Tab. 10. 
 
 'I'Sine Oif. Covers| Cosec. Tang 
 
 I.St>72l8 
 1570091 
 157296';? 
 1575836 
 1578708 
 I58158I 
 1584453 
 1587325 
 590197 
 593069 
 1595940 
 1598312 
 1601683 
 160455 
 1607426 
 I6I0297 
 1613167 
 1616038 
 1618909 
 1621779 
 1624650 
 1627520 
 1630390 
 1633260 
 1636129 
 1638999 
 1641868 
 1644738 
 1647607 
 650476 
 653345 
 1656214 
 1659082 
 1661951 
 1664819 
 \6676S7 
 1670556 
 1673423 
 1676291 
 1679159 
 1682026 
 1684894 
 1687761 
 1690628 
 1693495 
 1696362 
 1699228 
 1702095 
 1704961 
 1707828 
 1710694 
 1713560 
 1716425 
 1719291 
 722156 
 1725022 
 1727887 
 1730752 
 1733617 
 1736482 
 
 Cosine 
 
 8435656 
 
 8432782 
 8429909 
 8427037 
 8424164 
 8421292 
 8418419 
 
 8415547 
 8412675 
 8409803 
 8406931 
 8404060 
 8401188 
 
 8398317 
 8395445 
 8392574 
 8389703 
 8386833 
 8383962 
 
 2873 
 2873 
 2872 
 2873 
 2872 
 2873 
 2872 
 
 2872 
 
 2872 
 
 2872 
 
 2871 
 
 2872 
 
 2871 
 
 2R72 
 
 2871 
 
 2871! 
 
 2870] 
 
 2871 
 
 2871 
 
 yj,7 '8381091 
 
 ^^^?!8378221 
 
 '^;'!8375350 
 
 ^pl 8372480 
 
 ^"^"8369610 
 
 ^«^^|8366740 
 
 I8363871 
 8361001 
 8358132 
 8355262 
 8352393 
 8349524 
 
 18346655 
 8343786 
 8340918 
 8338049 
 8335181 
 8332313 
 8329444 
 2ggg 8326577 
 
 28701 
 2869 
 2870: 
 2869 
 2869 
 2869 
 2869 
 2868 
 2869 
 2868 
 2868 
 2869 
 2867 
 
 2868 
 2867 
 2868 
 2867 
 2867 
 2867 
 2867 
 2866 
 2867 
 2866 
 2867 
 2866 
 2866 
 2865 
 2866 
 2865 
 2866 
 2865 
 286! 
 286: 
 286.- 
 
 8323709 
 8320841 
 8317974 
 8315106 
 8312239 
 8309372 
 8306505 
 8303638 
 8300772 
 8297905 
 8295039 
 8292172 
 8289306 
 8286440 
 8283575 
 8280709 
 8277844 
 8274978 
 8272113 
 8269248 
 8266383 
 8263518 
 
 6-3.724532 
 6-3807347 
 6-3690595 
 6-3574276 
 6-3458386 
 6-3342923 
 6-3227884 
 
 6-3113269 
 6-2999073 
 6-2885295 
 6-2771933 
 6-2658984 
 6-2546446 
 6-2434316 
 6-2322594 
 6-2211275 
 6-2100359 
 6-1989843 
 
 1879725 
 6-1770003 
 6-1660674 
 6-1551736 
 6-1443189 
 6-1335028 
 6-1227253 
 6-1119861 
 6-1012850 
 6-0906219 
 6-0799964 
 6-0694085 
 6-0588580 
 6-0483445 
 6-0378680 
 6-0274282 
 6-0170250 
 
 ■0066581 
 5-9963274 
 6-9860326 
 5-9757737 
 5-9656504 
 
 9553625 
 5-9452098 
 
 -9350922 
 5-9260095 
 5-5149614 
 5-9049479 
 5-8949688 
 5-8850238 
 5-8751128 
 5-8652356 
 6-8553921 
 5-8455820 
 5-8358053 
 5-8260617 
 5-8163510 
 5-8066732 
 6-7970280 
 5-7874153 
 5-7778350 
 5-7682867 
 5-7687705 
 
 Dif. Vers. Secant 
 
 1683844 
 1586826 
 1589809 
 1692791 
 1595774 
 1698757 
 1601740 
 
 1604724 
 1607708 
 1610692 
 1613677 
 1616662 
 1619647 
 1622632 
 1625618 
 1628603 
 1631690 
 1634576 
 1637563 
 1640550 
 1643537 
 1646626 
 1649513 
 1652501 
 1655489 
 1658478 
 1661467 
 1664456 
 1667446 
 1670436 
 1673426 
 1676417 
 1679407 
 1682398 
 1685390 
 1688381 
 1691373 
 1694366 
 1697358 
 1700351 
 1703344 
 1706338 
 1709331 
 1712325 
 1715320 
 1718314 
 1721309 
 1724304 
 1727300 
 1730296 
 1733292 
 1736288 
 1739285 
 1742282 
 1745279 
 1748277 
 1751276 
 1764273 
 1757272 
 1760271 
 1763270 
 
 Cotan. 
 
 Cotang. 
 
 6-3137516 
 6-3018866 
 6-2900651 
 6-2782868 
 6-2665516 
 6-2548588 
 6-2432086 
 
 6-2316007 
 
 6-2200347 
 
 6-2085106 
 
 6-1970279 
 
 6-1856867 
 
 6-1741865 
 
 6-1628272 
 
 6-161608 
 
 6-1402303 
 
 6-1289923 
 
 6-1177943 
 
 6-1066360 
 
 6-0955174 
 
 6-0844381 
 
 6-0733979 
 
 6-0623967 
 
 6-0514343 
 
 6-0405103 
 
 6-0296247 
 
 6-0187772 
 
 6-0079676 
 
 5-9971957 
 
 5-9864614 
 
 5-9767644 
 
 5-965104 
 
 6-9544816 
 
 6-9438952 
 
 5-9333456 
 
 5-9228322 
 
 5-9123550 
 
 5-9019138 
 
 5-8915084 
 
 5-8811386 
 
 5-8708042 
 
 5-8605051 
 
 6-8502410 
 
 5-8400117 
 
 5-8298172 
 
 6-8196672 
 
 6-8095315 
 
 6-7994400 
 
 5-7893825 
 
 5-7793588 
 
 6-76936'88 
 
 5-7594122 
 
 6-7494889 
 
 5-7395988 
 
 5-7297416 
 
 5-7199173 
 
 5-7101256 
 
 5-70036ft3 
 
 5-6906394 
 
 5-6809446 
 
 5-6712818 
 
 'J 
 
 ar.j<. 
 
 Secant 
 
 0124651 
 0125118 
 0125386 
 0126056 
 0126524 
 0126995 
 0127466 
 0127939 
 0^28412 
 0128886 
 0129361 
 0129837 
 0130314 
 0130791 
 0131270 
 0131760 
 0132230 
 0132711 
 0133194 
 
 0133677 
 0134161 
 0134646 
 0135132 
 0135618 
 0136106 
 0136595 
 0137084 
 0137674 
 0138066 
 0138568 
 0139051 
 0139545 
 0140040 
 0140536 
 0141032 
 0141530 
 0142029 
 0142528 
 0143028 
 0143630 
 0144032 
 0144535 
 0145039 
 0146644 
 0146060 
 0146566 
 0147064 
 0147672 
 0148082 
 0148692 
 0149103 
 0149616 
 0160129 
 0150643 
 0151158 
 0151673 
 0152190 
 0162708 
 0163226 
 0153746 
 0154266 
 
 Cosec. 
 
 Vers. D. Cosine ' 
 
 0123117 
 0123572 
 0124028 
 0124486 
 0124943 
 0125402 
 0125862 
 0126322 
 0126784 
 0127246 
 0127709 
 0128173 
 0128637 
 0129103 
 0129569 
 0130036 
 0130504 
 0130973 
 0131443 
 0131913 
 0132386 
 0132857 
 0133330 
 0133804 
 0134278 
 0134764 
 0135230 
 0135707 
 0136185 
 0136664 
 0137144 
 0137625 
 0138106 
 0138588 
 0139071 
 0139656 
 0140040 
 0140526 
 0141012 
 0141499 
 0141987 
 0142476 
 0142965 
 0143456 
 0143947 
 0144439 
 0144932 
 0145426 
 0145921 
 0146417 
 0146913 
 0147410 
 0147908 
 0148407 
 0148907 
 
 0149407 
 0149909 
 0150411 
 0150914 
 0161418 
 0161922 
 
 465 
 456 
 458 
 457 
 459 
 460 
 460 
 462 
 462 
 463 
 464 
 464 
 466 
 466 
 467 
 4G8 
 469 
 470 
 470 
 472 
 472 
 473 
 474 
 474 
 476 
 476 
 477 
 478 
 479 
 480 
 481 
 
 481 
 
 482 
 483 
 484 
 485 
 485 
 
 487 
 487 
 488 
 :489 
 489 
 491 
 491 
 492 
 493 
 494 
 495 
 496 
 496 
 497 
 498 
 499 
 600 
 500 
 502 
 502 
 603 
 604 
 504 
 
 Covers D. Sine 
 
 9876883 
 9876428 
 9875972 
 9875614 
 9875057 
 9874598 
 9874138 
 9873678 
 9873216 
 9872754 
 9872291 
 9871827 
 9871363 
 
 9870897 
 9870431 
 9869964 
 9869496 
 9869027 
 9868667 42 
 
 9868087 
 9867616 
 9867143 
 9866670 
 9866196 
 9865722 
 9865246 
 9864770 
 9864293 
 9863815 
 9863336 
 9862856 
 9862375 
 9861894 
 9861412 
 9860929 
 9860445 
 9859960 
 9869475 23 
 
 9858988 
 9858501 
 9858013 
 9857624 
 9867035 
 9856544 
 9856053 
 9856561 
 98550G8 
 9854574 
 9854079 
 9853583 
 9853087 
 9852590 
 9862092 
 9851693 
 9851093 
 9350693 
 9850091 
 9849589 
 9849086 
 9848682 
 9848078 
 
 T^piT sii) 
 
9 T)c^. 
 
 LOG. SINES, kc. 
 
 (2( 
 
 8ine 
 
 9-1943324 
 19-1951293 
 
 2 9-1959247 
 
 3 9-1967186 
 
 4 9-1975110 
 
 5 9-1983019 
 
 6 9-1990913 
 
 7 9-1998793 
 
 8 9-2006658 
 
 9 9-2014509 
 10 9-2022345 
 119-2030167 
 
 12 9-2037974 
 
 13 9-2045766 
 
 14 9-2053545 
 
 15 9-2061309 
 
 16 9-2069059 
 9-2076795 
 9-2084516 
 9-2092224 
 9-2099917 
 9-2107597 
 9-2115263 
 9-2122914 
 9-2130552 
 
 9-2138176 
 9-2145787 
 9-2153384 
 9-2160967 
 9-2168536 
 9-2176092 
 9-2183635 
 
 32 9-2191164 
 
 33 9-2198680 
 
 34 9-2206182 
 
 35 9-2213671 
 
 36 9-2221147 
 
 37 9-2228609 
 
 38 9-2236059 
 
 39 9-2243495 
 
 40 9-2250918 
 
 41 9-2258328 
 
 42 9-2265725 
 
 43 9-2273110 
 
 44 9-2280481 
 
 45 9-2287839 
 2295185 
 
 9-2302518 
 9-2309838: 
 
 9-2317145 
 9-2324440 
 9-2331722 
 9-2338992 
 9-2346249 
 9-2353494 
 9-2360726 
 9-2367946 
 9-2375153 
 9-2382349 
 9 2389532 
 9-2396702 
 
 Cosine 
 
 Dit. 
 
 7969 
 7954 
 7939 
 7924 
 7909 
 7894 
 7880 
 7865 
 7851 
 7836 
 7822 
 7807 
 7792 
 
 7779 
 7764 
 7750 
 7736 
 7721 
 7708 
 7693 
 7680 
 7666 
 7651 
 7638 
 7624 
 7611 
 7597 
 7583 
 7o69 
 7556 
 7543 
 7529 
 7516 
 7502 
 7489 
 7476 
 7462 
 
 7450 
 7436 
 7423 
 7410 
 7397 
 7385 
 
 7371 
 
 7358 
 7346 
 7333 
 7320 
 7307 
 
 7295 
 7282 
 7270 
 7257 
 7245 
 7232 
 7220 
 7207 
 7196 
 7183 
 7170 
 
 Dit. 
 
 Cosec. 
 
 10-8056676 
 10-8048707 
 10-8040753 
 10-8032814 
 10-8024890 
 10-8016981 
 10-8009087 
 10-8001207 
 10-7993342 
 10-7985491 
 10-7977655 
 10-7969833 
 10-7962026 
 10-7954234 
 10-7946455 
 10-7938691 
 10-7930941 
 10-7923205 
 10-7915484 
 10-7907776 
 10-7900083 
 10-7892403 
 10-7884737 
 10-7877086 
 10-7869448 
 10-7861824 
 10-7854213 
 10-7846616 
 10-7839033 
 10-7831464 
 10-7823908 
 10-7816365 
 10-7808836 
 10-7801320 
 10-7793818 
 10-7786329 
 10-7778853 
 10-7771391 
 10-7763941 
 10-7756505 
 10-7749082 
 10-7741672 
 10-7734275 
 10-7726890 
 10-7719519 
 10-7712161 
 10-7704815 
 10-7697482 
 10-7690162 
 10-7682855 
 10-7675560 
 10-7668278 
 10-7661008 
 10-7653751 
 10-7646506 
 10-7639274 
 10-7632054 
 10-7624847 
 10-761765! 
 10-7610468 
 10-7603298 
 
 Versed!- 
 
 8-0903166 
 8-0919203 
 8-0935210 
 8-0951188 
 8-0967136 
 8-0983055 
 8-0998944 
 8-1014804 
 8-1030635 
 8-1046437 
 1062211 
 1077955 
 8-1093671 
 8-1109358 
 8-1125017 
 1 140647 
 8-1156249 
 8-1171823 
 8-1187369 
 
 8-1202887 
 8-1218377 
 8-1233840 
 8-1249274 
 8-1264681 
 8-1280061 
 
 8-1295413 
 8-1310738 
 8-J 326036 
 
 1341307 
 8-1356551 
 8-1371768 
 8-1386958 
 
 1402121 
 8-1417258 
 8-1432368 
 8-1447452 
 8-1462510 
 8-1477541 
 8-1492546 
 
 1507525 
 8-1522478 
 
 1 537405 
 8-1552307 
 8-1567182 
 8-1582032 
 8-1596857 
 8-1611656 
 8-1626430 
 8-1641178 
 8-1655902 
 8-167060G 
 8-1685273 
 
 1699921 
 
 1714545 
 8-1729144 
 8-17437I8 
 8-1758267 
 8-1772792 
 8-1787292 
 8-1801768 
 8-1816220 
 
 Tanir. 
 
 9-1997125 
 9-2005294 
 9-2013449 
 9-2021588 
 9-2029714 
 9-203782^ 
 9-2045922 
 9-2054004 
 2062072 
 9-2070126 
 9-2078165 
 9-2086191 
 9-2094203 
 9-2102200 
 9-2110184 
 9-2118153 
 9-2126109 
 9-2134051 
 9-2141980 
 
 9-2149894 
 9-2157795 
 9-2165683 
 9-2173556 
 9-2181417 
 9-2189264 
 
 9-2197097 
 
 •2204917 
 9-2212724 
 9-2220518 
 9-2228298 
 9-2236065 
 9-2243819 
 
 2251561 
 9-2259289 
 9-2267004 
 9-2274706 
 9-2282395 
 9-2290071 
 9-2297735 
 
 2305386 
 9-2313024 
 9-2320650 
 9-2328262 
 9-2335863 
 343451 
 9-2351026 
 9-2358589 
 9-2366139 
 9-2373678 
 9-2381203 
 9-2388717 
 9-2396218 
 9-2403708 
 9-2411185 
 9-2418650 
 9-2426103 
 
 2433543 
 9-2440972 
 
 2448389 
 9-2455794 
 9-2463188 
 
 Dn: 
 
 8169 
 8155 
 8139 
 8126 
 8111 
 8097 
 8082 
 
 8068 
 8054 
 8039 
 8026 
 8012 
 7997 
 7984 
 7969 
 7956 
 7942 
 7929 
 7914 
 7901 
 7888 
 7873 
 7861 
 7847 
 7833 
 7820 
 7807 
 7794 
 7780 
 7767 
 7754 
 7742 
 7728 
 7715 
 7702 
 7689 
 7676 
 7664 
 7651 
 7638 
 7626 
 7612 
 7601 
 
 7588 
 7575 
 7563 
 7550 
 7539 
 7525 
 7514 
 7501 
 7490 
 7477 
 465 
 7453 
 7440 
 7429 
 7417 
 7405 
 7394 
 
 Cotang. 
 
 10-8002875 
 iO-79«4706 
 10-7986551 
 10-7978412 
 10-7970286 
 10-7962175 
 10-7954078IS 
 
 10-7945996 
 10-7937928 
 10-7929874 
 10-7921835 
 10-7913809 
 10-7905797 
 10-7897800 
 10-7889816 
 10-7881847 
 10-7873891 
 10-7865949 
 10-7858020 
 10-7850106 
 10-7842205 
 10-7834317 
 10-7826444 
 10-7818583 
 10-7810736 
 10-7802903 
 10-7795083 
 10-7787276 
 10-7779482 
 10-7771702 
 10-7763935 
 10-7756181 
 10-7748439 
 10-7740711 
 10-7732996 
 10-7725294 
 10-7717605 
 10-7709929 
 10-7702265 
 10-7694614 
 10-7686976 
 10-7679350 
 10-7671738 
 
 10-7664137 
 10-7656549 
 10-7643974 
 10-7641411 
 10-7633861 
 10-7626322 
 10-7618797 
 10-7611283 
 10-7603782 
 10-7596292 
 10-7588815 
 10-7581350 
 10-7573897 
 10-7566457 
 10-7559028 
 10-7551611 
 10-7544206 
 10-7536812 
 
 Secant Covers. Cotang. Uit. Tang. Verseds. Cosec. D. Sine 
 
 Covers. 
 
 9-92flll88 
 9-9259709 
 9-9258229 
 9-9256749 
 9-9256268 
 9-9253787 
 9252306 
 
 1-9250824 
 
 '-924934 1 
 
 1-9247858 
 
 1-9246375 
 
 1-9244891 
 
 '•9243407 
 
 '•9241922 
 
 9-9240437 
 
 '•9238952 
 
 '-9237466 
 
 '-9235980 
 
 9-9234493 
 
 9-9233006 
 
 9231518 
 
 9-9230030 
 
 9-9228541 
 
 9-9227052 
 
 9-9225563 
 
 •9224073 
 
 ■9222583 
 
 •9221092 
 
 •9219601 
 
 ■9218109 
 
 ■9216617 
 
 921512 
 
 9213632 
 
 9212138 
 
 9210644 
 
 9-9209150 
 
 9-9207656 
 
 9-9206160 
 
 9-9204665 
 
 9-92031 
 
 9-9201672 
 
 9-9200175 
 
 9-9198678 
 
 9-9197180 
 
 9-9195682 
 
 9-9194183 
 
 9-9192684 
 
 9-9191185 
 
 9-9189685 
 
 9-9188184 
 
 9-918S683 
 
 9185182 
 
 9-9183680 
 
 9-9182178 
 
 9180675 
 
 9-9179172 
 
 9-9177669 
 
 9176165 
 
 9-9174660 
 
 9-9173155 
 
 9-9171650 
 
 Secant D. Cosine 
 
 10-0053801 
 10-0054001 
 10-0054202 
 10-0054403 
 10-0054604 
 10-0054806 
 10-0055008 
 10-0055211 
 10-0055413 
 10-0055617 
 10-0055820 
 10-0056025 
 10-0056229 
 10-0056434 
 10-0056639 
 10-0056844 
 10-0057050 
 10-0057257 
 10-0057463 
 10-0057670 
 10-0057878 
 10-0058086 
 10-0058294 
 10-0058502 
 10-0058711 
 J 0-0058921 
 10-0059130 
 10-0059341 
 10-0059551 
 10-0059762 
 10-0059973 
 10-0060185 
 10-0060397 
 10-0060609 
 10-0060822 
 10-0061035 
 10-0061248 
 100061462 
 100061676 
 10-0061891 
 10-0062106 
 10-0062321 
 10-0062537 
 10-0062753 
 10-0062970 
 10-0063187 
 10-0063404 
 10-0063622 
 10-0063840 
 10-0064058 
 10-0064277 
 10-0064496 
 10-0064715 
 10-0064935 
 10-0065156 
 10-0065376 
 10-0065597 
 10-0065819 
 10-0066041 
 10-0066263 
 10-0066485 
 
 200 
 
 201 
 
 201 
 
 201 
 
 202 
 
 202 
 
 203 
 
 202 
 
 204 
 
 203 
 
 20 
 
 204 
 
 205 
 
 205 
 
 205 
 
 206 
 
 207 
 
 206 
 
 207 
 
 208 
 
 208 
 
 208 
 
 208 
 
 209 
 
 210 
 
 209 
 
 211 
 
 210 
 
 211 
 
 211 
 
 212 
 
 212 
 
 212 
 
 213 
 
 213 
 
 213 
 
 214 
 
 214 
 
 215 
 
 215 
 
 215 
 
 216 
 
 216 
 
 217 
 
 217 
 
 217 
 
 21^ 
 
 218 
 
 218 
 
 219 
 
 219 
 
 219 
 
 220 
 
 221 
 
 220 
 
 221 
 
 222 
 
 222 
 
 222 
 
 222 
 
 9-9946191 
 9-994599! 
 9-994579J 
 9-994559; 
 9-9945391 
 9-994519 
 9-994499: 
 9-994478! 
 9-994458; 
 9-994438; 
 9-99441 8( 
 9-994397J 
 9-994377 
 9-9943561 
 
 994336 
 9-9943151 
 9 -9942951 
 9-994274: 
 9-994253; 
 9-9942331 
 9-994212: 
 9-99419 r 
 9-994170( 
 9-994149! 
 9-994128! 
 9-994107! 
 9-994087( 
 9-994065! 
 9-994044! 
 9-9940231 
 9-994002; 
 9-99398 li 
 9-993960; 
 9-993939 
 9-993917! 
 9-993896; 
 9-993875: 
 
 9938531 
 9-993832^ 
 9-993810! 
 9-993789^ 
 
 993767J 
 9-993746; 
 
 9-993724; 
 9-993703( 
 9-99368 K 
 9-993659( 
 9-993637J 
 9-9936l6( 
 9-993594i 
 9-993572C 
 9-993550^ 
 9-993528i 
 9-993506; 
 993484^ 
 9-993462^ 
 9-993440^ 
 9-99:^41 81 
 9-993395} 
 9-993373; 
 9-993351J 
 
 3 M 9, 
 
 Deix. i 
 
(2^8) 10 Peg. NATURAL SINES, &C. 
 
 Tab. 10. 
 
 Sine 
 
 0|I7364H*i 
 \7i9:i4H 
 174221 1 
 1 74507:. 
 1747939 
 I75080.i 
 I753(>67 
 1756531 
 1759395 
 1 76'i25H 
 1 765121 
 17f;79«i 
 1770847 
 1773710 
 1776&7S 
 1 779435 
 178229H 
 1785160 
 1788022 
 1790884 
 \79.i746 
 1 79S607 
 1799469 
 1802330 
 1805191 
 1808052 
 1810913 
 1813774 
 1816635 
 1819495 
 1822355 
 825215 
 1828075 
 1830935 
 18 53795 
 836654 
 839514 
 1842373 
 1845232 
 848091 
 1850949 
 1853808 
 1856666 
 859524 
 1862382 
 865240 
 186809M 
 187095f! 
 187381 < 
 187667(1 
 1879528 
 1882385 
 1885241 
 1888098 
 1890954 
 
 189381 1 
 1896667 
 1899523 
 ; 902379 
 1905234 
 1908090 
 
 Dit. 
 
 2864 
 2865 
 2864 
 
 2864 
 2864 
 2864 
 ^864 
 2864 
 2863 
 2863 
 2863 
 2863 
 2863 
 2863 
 2862 
 2863 
 2862 
 2862 
 2862 
 2862 
 2861 
 2862 
 2861 
 2861 
 2861 
 2861 
 2861 
 2861 
 2860 
 2860 
 2860 
 2860 
 2860 
 2860 
 2859 
 2860 
 2859 
 
 2859 
 2859 
 2858 
 2859 
 2858 
 2858 
 2858 
 2858 
 2858 
 2858 
 2857 
 2857 
 ■2858 
 2857 
 2856 
 2857 
 285G 
 2857 
 2856 
 2856 
 2856 
 '2855 
 ■2856 
 
 osine 
 
 8263518 
 8260654 
 8257789 
 8254925 
 8252061 
 8249 197 
 8246333 
 
 8243469 
 8240605 
 8237742 
 8234879 
 
 8232016 5-6561 584 
 
 Cu vol's 
 
 Dif. 
 
 8229153 
 8226290 
 8223427 
 822056 
 8217702 
 8214840 
 8211978 
 8209116 
 82061/54 
 8203-93 
 8200531 
 8197670 
 8194809 
 8191948 
 8189087 
 8186226 
 8183365 
 8180505 
 8177645 
 8174785 
 81719^f5 
 169065 
 8166205 
 8163346 
 8160486 
 
 8157627 
 8154768 
 8151909 
 8149051 
 8146192 
 8143334 
 8140476 
 8137618 
 813476<' 
 813190'i 
 
 129044 
 8126187 
 8123330 
 8120472 
 8117615 
 8114759 
 8111902 
 8109046 
 8106189 
 8103333 
 
 100477 
 8097621 
 8094766 
 ^09 19 1 ( 
 
 Cosec. 
 
 5-7587705 
 5-7492861 
 5-739833.0 
 5-7304121 
 5-7210223 
 5-7116636 
 5-7023360 
 
 5-6930393 
 5-6837734 
 5-674538( 
 5-6653331 
 
 5-6470 14( 
 5-6378995 
 5-6288148 
 5-619759 
 5-610734', 
 5-6017386 
 5-5927719 
 5-5838343 
 5-5749258 
 5-566046( 
 5-5571951 
 5-5483726 
 5-5395786 
 5-5308129 
 5-5220754 
 5-5133659 
 5-5046843 
 5-4960305 
 5-4874043 
 5-4788056 
 5-4702342 
 5-4616901 
 5-4531731 
 5-4446831 
 5-4362199 
 5-4277835 
 5-4193737 
 5-4109903 
 5-4026333 
 5-3943026 
 5-3859979 
 5-3777192 
 5-3694664 
 5-3612393 
 5-3530379 
 5-3448620 
 5-3367114 
 5-3285861 
 5-3204860 
 5-3124109 
 5-3043608 
 5-2963354 
 5-2883347 
 5-2803587 
 5-2724070 
 5-2644798 
 5-2565768 
 5-2486979 
 2408431 
 
 Vers. Secant 
 
 Tang. 
 
 1763270 
 1766269 
 1 769269 
 1 772269 
 1775270 
 1778270 
 1781271 
 1784273 
 1787274 
 1790276 
 1793279 
 1796281 
 1799284 
 
 1802287 
 180529 
 1 808295 
 1811299 
 1814303 
 1817308 
 1820313 
 1823319 
 1826324 
 1829330 
 1832337 
 1835343 
 1838350 
 1841358 
 1844365 
 1 847373 
 1850382 
 1853390 
 1856399 
 1859409 
 1862418 
 1865428 
 1868439 
 1871449 
 1874460 
 1877471 
 1880483 
 1883495 
 1886507 
 1889520 
 1892533 
 1895546 
 1898559 
 1901573 
 1904587 
 1907601^ 
 1910617 
 1913632 
 1916648 
 1919664 
 1922680 
 1925696 
 1928713 
 1931731 
 934748 
 1937786 
 1940784 
 1943303 
 
 Cotaiig 
 
 Cotan, 
 
 5-6712818 
 5-6616509 
 5-6520516 
 5-6424838 
 5-6329474 
 5-6234421 
 5-6139680 
 
 5-6045247 
 
 5-595112 
 
 5-5857302 
 
 5-5763786 
 
 5-5670574 
 
 5-5577663 
 
 5-5485052 
 
 5-5392740 
 
 5-5300724 
 
 5-5209005 
 
 5-5117579 
 
 5-5026446 
 
 5-4935604 
 
 5-484^052 
 
 5-4754788 
 
 5-4664812 
 
 5-4575121 
 
 5-4485715 
 
 5-4396592 
 
 5-4307750 
 
 5-4219188 
 
 5-4130906 
 
 5-4042901 
 
 5-3955172 
 
 5-3867718 
 
 5-3780^38 
 
 5-3693630 
 
 5-3606993 
 
 5-3520626 
 
 5-3434527 
 
 5-3348696 
 
 5-326313 
 
 5-3177830 
 
 5-3092793 
 
 5-3008018 
 
 5-292350 
 
 5-283925 
 
 5-2755255 
 
 5-2671517 
 
 5-2588035 
 
 5-2504309 
 
 5-2421836 
 
 5-2339116 
 
 5-2256647 
 
 5-2174423 
 
 5-2092459 
 
 201 073 H 
 
 1929264 
 
 1848035 
 
 1767051 
 
 5-1686311 
 
 5-1605813 
 
 5-1525557 
 
 ">-!44554C 
 
 Secant 
 
 l 
 
 ang. 
 
 1-0154266 
 1-0154787 
 1-0155310 
 1-0155833 
 1-0156357 
 1-0156882 
 1-0157408 
 1-0157934 
 1-0158462 
 1-0158991 
 I -01 59520 
 1-0160050 
 1-0160582 
 
 1-0161114 
 1-0161647 
 1-0162181 
 1-0162716 
 1-0163252 
 1-0163789 
 1-0164327 
 i -01 64865 
 1-0165405 
 1-0165946 
 1-0166487 
 1-0167029 
 
 1-0167573 
 I-OI68II7 
 i -01 68662 
 1-0169208 
 1-0169755 
 1-0170303 
 1-0170851 
 1-0171401 
 1-0171952 
 1-0172503 
 1-0173056 
 1-0173609 
 1-0174163 
 1-0174719 
 1-0175275 
 1-0175832 
 1-0176390 
 1-0176949 
 1-0177509 
 1-0178069 
 1-0178631 
 1-0179194 
 1-0179757 
 i -01 80321 
 
 1-0180887 
 1-0181453 
 1-0182020 
 1-0182588 
 1-0183158 
 1-0183728 
 1-0184298 
 0184870 
 1-0185443 
 1-0186017 
 1-0186591 
 1-0187167 
 
 Ve 
 
 rs. 
 
 0151922 
 
 0152428 
 
 0152934 
 
 0153442 
 
 0153950 
 
 0154458 
 
 0154968 
 
 0155479 
 
 0155990 
 
 0156502 
 
 0157015 
 
 0167529 
 
 0158044 
 
 0158559 
 
 0159076 
 
 0159593 
 
 0160111 
 
 0160630 
 
 0161150 
 
 0161670 
 
 0162192 
 
 0162714 
 
 0163237 
 
 0163761 
 
 0164285 
 
 0164811 
 
 0165337 
 
 0165864 
 
 0166392 
 
 0166921 
 
 0167451 
 
 0167981 
 
 0168513 
 
 0169045 
 
 016957 
 
 0170112 
 
 0170647 
 
 0171182 
 
 0171718 
 
 0172256 
 
 0172794 
 
 0173332 
 
 0173872 
 
 0174413 
 
 017495 
 
 017549 
 
 0176039 
 
 0176583 
 
 0177127 
 
 0177673 
 
 0178219 
 
 0178766 
 
 0179314 
 
 0179863 
 
 0180413 
 
 0180963 
 
 0181515 
 
 0182067 
 
 0182620 
 
 0183174 
 
 0183728 
 
 D. 
 
 Cosec. iCoverslD. 
 
 506 
 506 
 508 
 508 
 508 
 510 
 511 
 511 
 512 
 513 
 514 
 515 
 515 
 517 
 517 
 518 
 619 
 520 
 52C 
 
 522 
 522 
 523 
 524 
 524 
 526 
 526 
 527 
 528 
 529 
 530 
 530 
 532 
 532 
 533 
 534 
 535 
 536 
 536 
 538 
 538 
 538 
 540 
 541 
 541 
 542 
 543 
 544 
 544 
 546 
 546 
 547 
 548 
 549 
 550 
 550 
 552 
 552 
 553 
 554 
 554 
 
 Cosi 
 
 ne 
 
 9848078 
 9847572 
 9847066 
 9846558 
 9846050 
 9845542 
 9845032 
 9844521 
 9844010 
 9843498 
 9842985 
 9842471 
 9841956 
 9841441 
 9840924 
 9840407 
 9839889 
 9839370 
 9838850 
 9838330 
 9837808 
 9837286 
 9836763 
 ^36239 
 9835715 
 
 9835189 
 9834663 
 9834136 
 9833608 
 9833079 
 9832549 
 9832019 
 9831487 
 9830955 
 9830422 
 9829888 
 9829353 
 
 9828818 
 9828282 
 9827744 
 9827206 
 9826668 
 9826128 
 9825587 
 9825046 
 9824504 
 9823961 
 9823417 
 9822873 
 9822327 
 9821781 
 9821234 
 9820686 
 9820137 
 9819587 
 9819037 
 9818485 
 9817933 
 9817380 
 9816826 
 9816272 
 
 Sine 
 
 Deff. 70. 
 
10 Deg. 
 
 LOG. SINES, Sec, 
 
 (2i 
 
 Sine 
 
 9-2395702 
 9-2403861 
 9-2411007 
 9-2418141 
 9-2425264 
 9-2432374 
 9-2439472 
 9-2446'558 
 9-2453632 
 9-2460695 
 9-2467746 
 
 Dif 
 
 7159 
 7146 
 7134 
 7123 
 7110 
 7098 
 7086 
 7074 
 700,! 
 I 
 
 !|705 
 
 9-2523729 
 9-2530676 
 
 9-2474784 
 9-248 la 11 
 
 9-24B8827 
 9-2495830 
 9-2502822 
 9-2509803 
 
 17 9-2516772 
 
 18 
 
 19 
 
 20 9-2537609 
 
 21 9-2544532 
 
 22 9-2551444 
 
 23 9-2558344 
 9-2565233 
 9-2572110 
 9-2578977 
 9-2585832 
 9 •259267 6 
 9-:^599509 
 9-2606330 
 9-2613141 
 
 2619941 
 9-2626729 
 9-2633507 
 
 2640274 
 9-2647030 
 9-2653775 
 
 2660509 
 9-2667232 
 9-2673945 
 9-2680647 
 9-2687338 
 9-2694019 
 9-27006B9 
 
 2707348 
 9-2713997 
 9-2720635 
 9-2727263 
 
 2733880 
 
 2740487 
 
 2747083 
 9-2753669 
 
 2760245 
 9-2766811 
 
 9-2773366 
 9-2779911 
 9-2786445 
 9-2792970 
 2799484 
 9-2805988 
 
 Cosine 
 
 17038 
 7027 
 7016 
 7003 
 6992 
 6981 
 6969 
 6957 
 6946 
 6934 
 6923 
 6912 
 6900 
 6889 
 6877 
 6867 
 6855 
 6844 
 6833 
 6821 
 6811 
 6800 
 6788 
 6778 
 6767 
 6756 
 6745 
 6734 
 6723 
 6713 
 6702 
 6691 
 6681 
 6670 
 6659 
 6649 
 6638 
 6628 
 6617 
 6607 
 6596 
 6586 
 76 
 6566 
 6555 
 6545 
 6534 
 6525 
 6514 
 6504 
 
 Cosec. 
 
 Uit 
 
 10-7603298 
 10-7596139 
 10-7588993 
 10-7581859 
 ) 0-7574736 
 10-7567626 
 10-7560528 
 10-7553442 
 10-7546368 
 10-7539305 
 10-7532254 
 10-7525216 
 10-7518189 
 10-7511173 
 10-7504170 
 10-7497178 
 10-7490197 
 10-7483228 
 10-7476271 
 10-7469325 
 10-7462391 
 10-7455468 
 10-7448556 
 10-7441656 
 10-7434767 
 10-7427890 
 10-7421023 
 10-7414168 
 10-7407324 
 10-7400491 
 10-7393670 
 10-7386859 
 10-7380059 
 10-7373271 
 10-7366493 
 10-7359726 
 10-7352970 
 10-7346225 
 10-7339491 
 10-7332768 
 10-7326055 
 10-7319353 
 10-7312662 
 
 10-7305981 
 10-7299311 
 10-7292652 
 10-7286003 
 10-7279365 
 10-7272737 
 10-7266120 
 10-7259513 
 10-7252917 
 10-7246331 
 10-7239755 
 10-7233189 
 
 10-7226634 
 10-7220089 
 10-7213555 
 10-7207030 
 10-7200516 
 10-7194012 
 
 Verseds 
 
 1816220 
 
 1830648 
 
 1845051 
 
 1859431 
 
 1873786 
 
 1888118 
 
 1902426 
 
 1916710 
 
 1930971 
 
 1945208 
 
 8-1959421 
 
 8-l<^736ll 
 
 8-1987778 
 
 8-2001921 
 
 8-2016042 
 
 8-2030139 
 
 8-2044213 
 
 8-2058264 
 
 8-2072293 
 
 8-2086298 
 
 8-2100281 
 
 8-2114241 
 
 8-2128179 
 
 8-2142094 
 
 8-2155987 
 
 8-2169857 
 8-2183705 
 8-2197531 
 8-2211334 
 8-2225116 
 8-2238875 
 8-2252613 
 8-2266329 
 8-2280023 
 8-2293695 
 8-2307345 
 
 •2320974 
 8-2334581 
 8-2348167 
 
 2361732 
 8-2375275 
 8-2388797 
 8-2402297 
 8-2415777 
 8-2429235 
 8-2442673 
 8-2456089 
 8-2469485 
 8-2482860 
 
 8-2496214 
 
 8-2509547 
 
 8-2522860 
 
 8-2536152 
 
 8-2549424 
 
 8-2562675 
 
 2575906 
 
 2589117 
 
 8-2602307 
 
 2615477 
 
 8-2628627 
 
 8-2641757 
 
 Tang. jDif. 
 
 9-2463188 
 9-2470569 
 9-2477939 
 9-2485297 
 9-2492643 
 9-2499978 
 9-2507301 
 
 Secant 
 
 9-2514612 
 9-2521912 
 9-2529200 
 9-2536477 
 9-2543743 
 9-2550997 
 9-2558240 
 9-2565472 
 9-2572692 
 9-2579901 
 9-2587099 
 9-2594285 
 2601461 
 9-260862 
 9-2615779 
 9-2622921 
 9-2630053 
 9-2637173 
 9-2644283 
 9-2651382 
 9-2658470 
 2665547 
 9-2672613 
 9-2679669 
 9-2686714 
 9-2693749 
 9-2700772 
 9-2707786 
 9-2714788 
 9-2721780 
 9-2728762 
 9-2735733 
 9-2742694 
 9-2749644 
 9-2756584 
 9-2763514 
 9-2770434 
 9-2777343 
 9-2784242 
 -2791131 
 -2798009 
 9-2804878 
 9-2811736 
 9-2818585 
 9-2825423 
 9-2832251 
 9-2839070 
 9-2845878 
 9-2852677 
 9-2859466 
 9-2866245 
 9-2873014 
 9-2879773 
 9-2886523 
 
 Covers. 
 
 7381 
 7370 
 7358 
 7346 
 7335 
 7323 
 7311 
 
 7300 
 7288 
 7277 
 7266 
 7254 
 7243 
 7232 
 7220 
 7209 
 7198 
 7186 
 7176 
 7164 
 7J54 
 7142 
 7132 
 7120 
 7110 
 7099 
 7088 
 7077 
 7066 
 7056 
 7045 
 7035 
 7023 
 7014 
 7002 
 6992 
 6982 
 
 6971 
 6961 
 6950 
 6940 
 6930 
 6920 
 6909 
 6899 
 6889 
 8878 
 6869 
 6858 
 6849 
 6838 
 6828 
 6819 
 6808 
 6799 
 6789 
 6779 
 6769 
 6759 
 6750 
 
 Cotang. 
 
 CotangjDit. 
 
 10-7536812 
 10-7529431 
 10-7522061 
 10-7514703 
 10-7507357 
 10-7500022 
 10-7492699 
 10-7485388 
 10-7478088 
 10-7470800 
 10-7463523 
 10-7456257 
 10-7449003 
 
 10-7441760 
 
 10-7434528 
 
 10-7427308 
 
 10-7420099 
 
 10-7412901 
 
 10-7405715 
 
 10-7388539 
 
 10-7391375 
 
 10-738422 
 
 10-7377079 
 
 10-7369947 
 
 10-7362827 
 
 10-7355717 
 
 10-7348618 
 
 10-7341530 
 
 10-7334453 
 
 10-7327387 
 
 10-7320331 
 
 10-7313286 
 10-7306251 
 10-7299228 
 10-7292214 
 10-7285212 
 10-7278220 
 10-7271238 
 10-7264267 
 10-7257306 
 10-7250356 
 10-7243416 
 10-7236486 
 10-7229566 
 10-7222657 
 10-7215758 
 10-7208869 
 10-7201991 
 10-7195122 
 10-7188264 
 10-7181415 
 10-7174577 
 10-7167749 
 10-7160930 
 10-7154122 
 10-7147323 
 10-7140534 
 10-7133755 
 10-7126986 
 10-7120227 
 10-7113477 
 
 Covers. 
 
 9-9171650 
 9-9170144 
 9-9168638 
 9-9167131 
 165624 
 9-9164117 
 9-9162609 
 9-9161100 
 9-9159691 
 9-9158082 
 9-9156572 
 9-9155062 
 9-9153551 
 9-9152040 
 9-9150528 
 9-9149016 
 9-9147504 
 9-9145991 
 9-9144478 
 9-9142964 
 9-9141450 
 9-9139935 
 
 9138420 
 9-9136904 
 9-9135388 
 9-9133872 
 9-9132355 
 9-9130837 
 9-9129319 
 9-9127801 
 9-9126282 
 9-9124763 
 9-9123244 
 
 9121723 
 9-9120203 
 9-9118682 
 9-9117161 
 
 9-9115639 
 9-9114116 
 9-9112593 
 9-9111070 
 9-9109547 
 9-9108022 
 9-9106498 
 9-9104973 
 9-9103447 
 9-9101921 
 9-9100396 
 9-9098868 
 9-9097341 
 9-9095813 
 9-9094285 
 9-9092766 
 9-9091227 
 9-9089697 
 9-9088167 
 9-9086637 
 
 9085106 
 9-9083576 
 
 9082043 
 9-9080510 
 
 Secant 
 
 D. 
 
 Tang. 
 
 Verseds. 
 
 10-0066485 
 10-0066708 
 10-0066932 
 10-0067155 
 10-0067379 
 10-0067604 
 10-0067829 
 10-0068054 
 10-0068280 
 10-0068506 
 10-0068732 
 10-0068959 
 10-C069186 
 
 10-0069413 
 10-0069641 
 10-0069869 
 10-0070098 
 10-0070327 
 10-0070566 
 10-0070786 
 10-0071016 
 10-0071247 
 10-0071478 
 10-0071709 
 10-0071941 
 10-0072173 
 10-0072405 
 10-0072638 
 10-0072871 
 10-0073105 
 10-0073339 
 10-0073573 
 10-0073808 
 10-0074043 
 10-0074278 
 10-0074514 
 10-0074750 
 
 10-0074987 
 10-0075224 
 10-0075461 
 10-0075699 
 10-0075937 
 10-0076176 
 10-0076415 
 10-0076654 
 10-0076894 
 10-0077134 
 10-0077374 
 10-0077615 
 10-0077856 
 10-0078098 
 10-0078340 
 10-0078582 
 10-0078825 
 10-0079068 
 10-0079311 
 10-0079555 
 10-0079799 
 10-0080044 
 10-0080289 
 10-0080534 
 
 223 
 
 224 
 
 223 
 
 224 
 
 225 
 
 225 
 
 225 
 
 226 
 
 226 
 
 226 
 
 227 
 
 227 
 
 227 
 
 228 
 
 228 
 
 229 
 
 229 
 
 229 
 
 230 
 
 230 
 
 231 
 
 231 
 
 231 
 
 232 
 
 232 
 
 232 
 
 233 
 
 233 
 
 234 
 
 234 
 
 234 
 
 235 
 
 235 
 
 235 
 
 236 
 
 236 
 
 237 
 
 237 
 
 237 
 
 238 
 
 238 
 
 239 
 
 239 
 
 239 
 
 240 
 
 240 
 
 240 
 
 241 
 
 241 
 
 242 
 
 242 
 
 242 
 
 243 
 
 243 
 
 243 
 
 244 
 
 244 
 
 245 
 
 ;^45 
 
 246 
 
 ne 
 
 Cosec. 
 
 Cosi 
 
 9-993351 
 9-993329 
 9-993306 
 9-993284 
 9-993262 
 9-993239 
 9-993217 
 9-993194 
 9-993172 
 9-993149 
 9-993126 
 9-993104 
 9-993081 
 9-993058 
 9-993035 
 9-993013 
 9-992990 
 
 992967 
 9-992944 
 9-992921 
 9-992898 
 
 992875, 
 9-992852: 
 9-992829 
 9-S92805: 
 9-992782; 
 9-99:^769, 
 9-992736: 
 9-992712! 
 9-992689, 
 9-992666 
 9-992642; 
 
 992619: 
 9-992595; 
 9-992572: 
 9-992548( 
 9-992525( 
 9-992601- 
 9-992477( 
 9-992453i 
 9-992430J 
 9-992406^ 
 9-992382^ 
 9-992358i 
 9-992334( 
 9-9823 10( 
 9-992286( 
 9-9922626 
 9-992238^ 
 9-992214^ 
 9-992190^ 
 9-992 166C 
 9-9921418 
 
 9921 17£ 
 9-9920931^ 
 
 9-992068S 
 9-9920445 
 9-9920201 
 y-9919956 
 9-9919711 
 9-9919466 
 
 D 
 
 Sine 
 
(270) llDeg. NATURAL SINES, .&:c. 
 
 Tab. 10. 
 
 1908090 
 1910945 
 1913801 
 19I66'56 
 1919510 
 1922365 
 1925220 
 
 Sine Dif. Covers 
 
 1928074 
 1930928 
 1933782 
 1936636 
 1939490 
 1942344 
 
 1945197 
 1948050 
 1950903 
 1953756 
 1956609 
 1959461 
 1962314 
 1965166 
 1968018 
 1970870 
 1973722 
 1976573 
 1979425 
 26j 1982276 
 1985127 
 1987978 
 1990829 
 1993679 
 
 1996530 
 1999380 
 2002230 
 2005080 
 2007930 
 2010779 
 2013629 
 2016478 
 2019327 
 2022176 
 2025024 
 2027873 
 2030721 
 2033569 
 2036418 
 2039265 
 2042113 
 2044961 
 
 2047808 
 2050655 
 2053502 
 2056349 
 2059195 
 2062042 
 
 2064888 
 2067734 
 2070580 
 2073426 
 2076272 
 60 2079117 
 
 Cosine Dif. 
 
 2855 
 2856 
 2855 
 2854 
 2855 
 2855 
 2854 
 2854 
 2854 
 2854 
 2854 
 2854 
 2853 
 2853 
 2853 
 2853 
 2853 
 2852 
 2853 
 2852 
 2852 
 2852 
 2852 
 2851 
 2852 
 2851 
 2851 
 2851 
 2851 
 2850 
 2851 
 2850 
 2850 
 2850 
 2850 
 2849 
 2850 
 2849 
 2849 
 2849 
 2848 
 2849 
 2848 
 2848 
 2849 
 2847 
 2848 
 2848 
 2847 
 2847 
 2847 
 2S47 
 2846 
 2847 
 2846 
 2846 
 2846 
 2846 
 2846 
 2845 
 
 8091910 
 
 8089055 
 
 8086199 
 
 8083344 
 
 8080490 
 
 8077635 
 
 8074780 
 
 8071926 
 
 8069072 
 
 8066218 
 
 8063364 
 
 8060510 
 
 8057656 
 
 8054803 
 
 8051950 
 
 8049097 
 
 8046244 
 
 8043391 
 
 8040539 
 
 8037686 
 
 8034834 
 
 8031982 
 
 8029130 
 
 8026278 
 
 8023427 
 
 802057 
 
 8017724 
 
 8014873 
 
 8012022 
 
 8009171 
 
 8006321 
 
 8003470 
 8000620 
 7997770 
 7994920 
 7992070 
 7'989221 
 
 7986371 
 
 7983522 
 
 7980673 
 
 7977824 
 
 7974976 
 
 7972127 
 
 7969279 
 
 7966431 
 
 7963582 
 
 7960735 
 
 7957887 
 
 7955039 
 
 7952192 
 
 794934 
 
 7D46498 
 
 7943651 
 
 7940805 
 
 793795 
 
 7935112 
 
 7932266 
 
 7929420 
 
 7926574 
 
 7923728 
 
 7920883 
 
 Cosec. 
 
 5-2408431 
 5-2330121 
 5-2252050 
 2174216 
 5-2096618 
 5-2019254 
 5-1942126 
 
 5-1865228 
 5-1788563 
 5-1712128 
 5-1635924 
 5-1559948 
 5-1484199 
 
 5-1408677 
 5-1333381 
 5-1258309 
 5-1183461 
 5-1108835 
 5-1034431 
 
 5-0960248 
 5-0886284 
 5-0812539 
 5-073«012 
 5-0665701 
 5-0592606 
 5-0619726 
 6-04470G0 
 5-0374607 
 5-0302367 
 5-0230337 
 5-0158517 
 5-0086907 
 5-0015505 
 4-9944311 
 4-9873323 
 4-9802541 
 4-9731964 
 4-9661691 
 4-9591421 
 4-9521453 
 4-9451687 
 4-9382120 
 4-9312754 
 
 4-9243586 
 4-9174616 
 4-9105844 
 4-9037267 
 ■8968886 
 4-8900700 
 
 4-8832707 
 4-8764907 
 4.8697299 
 4-8629883 
 4-8562657 
 4-8495621 
 
 4-8428774 
 
 4-8362114 
 
 4-8295643 
 
 4-82293 
 
 4-8163258 
 
 4-8097343 
 
 Tang. 
 
 1943803 
 1946822 
 1949841 
 1952861 
 955881 
 1958901 
 1961922 
 
 1964943 
 1967964 
 1970986 
 1974008 
 1977031 
 1980053 
 983076 
 1986100 
 1989124 
 1992148 
 1995172 
 1998197 
 2001222 
 2004248 
 2007274 
 2010300 
 2013327 
 2016354 
 2019381 
 2022409 
 202543 
 2028465 
 2031494 
 203452? 
 2037552 
 2040582 
 2043612 
 2046643 
 2049674 
 2052705 
 2055737 
 2058769 
 2061801 
 2064834 
 2067867 
 2070900 
 2073934 
 2076968 
 2080003 
 2083038 
 2086073 
 2089109 
 2092145 
 2095181 
 2098218 
 2101255 
 2104293 
 2107331 
 2110369 
 2113407 
 2116446 
 2119486 
 2122525 
 2125566 
 
 5-1445540 
 5-1365763 
 5-1286224 
 
 1206921 
 5-1127855 
 
 1049024 
 5-0970426 
 5-0892061 
 5-0813928 
 5-0736025 
 5-0658352 
 5-0580907 
 5-0503690 
 
 5-0426700 
 5-0349935 
 5-0273395 
 5-0197078 
 5-0120984 
 5-0045111 
 
 Cotang. 
 
 Secant Vers. D. Cosine 
 
 9969459 
 9894027 
 9818813 
 9743817 
 9669037 
 9594474 
 
 4-9520125 
 4-9445990 
 4-9372068 
 4^9298358 
 4-9224859 
 4-9151570 
 
 9078491 
 9005620 
 8932956 
 8860499 
 '8788248 
 8716201 
 
 4' 
 
 4' 
 
 4 
 
 4 
 
 4' 
 
 4 
 
 4-8644359 
 
 4-8572719 
 
 4-8501282 
 
 4-843004 
 
 4-8359010 
 
 4-8288174 
 
 4-8217536 
 
 4-8147096 
 
 4-8076854 
 
 4-8006808 
 
 4-7936957 
 
 4-7867300 
 
 4-7797837 
 
 4-7728568 
 
 4-7659490 
 
 4-7590603 
 
 4-7521907 
 
 4-7453401 
 
 4-7385083 
 
 4-/316954 
 
 4-7249012 
 
 4-7181256 
 
 4-7113686 
 
 4-7046301 
 
 •0187167 
 ■0187743 
 ■0188321 
 ■0188899 
 •0189478 
 •0190059 
 •0190640 
 
 0191222 
 0191805 
 0192389 
 0192973 
 0193559 
 0194146 
 •0194734 
 ■0195322 
 0195912 
 •0196502 
 ■0197093 
 •0197686 
 •0198279 
 •0198873 
 •0199468 
 •0200064 
 ■0200661 
 ■0201259 
 •0201858 
 •0202457 
 •0203058 
 -0203660 
 -0204262 
 -0204866 
 •0205470 
 -0206075 
 0206682 
 0207289 
 0207897 
 0208506 
 0209116 
 0209727 
 0210339 
 0210952 
 0211566 
 ■0212180 
 
 0212796 
 0213413 
 0214030 
 0214649 
 0215268 
 ■02168'88 
 ■0216510 
 ■0217132 
 ■0217755 
 •0218379 
 •0219004 
 •0219630 
 
 •0220257 
 •0220885 
 •0221514 
 •0222144 
 
 •0222774 
 •0223406 
 
 0183728 
 0184284 
 0184840 
 0185397 
 0185955 
 0186514 
 0187073 
 0187634 
 0188195 
 0188757 
 0189320 
 0189884 
 0190448 
 0191014 
 0191580 
 0192147 
 0192715 
 0193284 
 0193853 
 0194424 
 0194995 
 0195567 
 0196J40 
 0196714 
 0197288 
 0197864 
 0198440 
 0199017 
 0199595 
 0200173 
 0200753 
 0201333 
 0201914 
 0202496 
 0203079 
 0203663 
 0204248 
 0204833 
 0205419 
 0206006 
 0206594 
 0207182 
 0207772 
 0208362 
 0208953 
 0209545 
 0210138 
 0210732 
 0211326 
 0211921 
 0212517 
 0213114 
 0213712 
 0214311 
 0214910 
 
 0215510 
 0216111 
 0216713 
 0217316 
 0217920 
 0218524 
 
 556 
 556 
 557 
 558 
 559 
 559 
 561 
 561 
 562 
 563 
 564 
 564 
 566 
 566 
 567 
 568 
 569 
 569 
 57i 
 571 
 572 
 573 
 574 
 574 
 576 
 576 
 577 
 578 
 578 
 580 
 580 
 581 
 582 
 583 
 584 
 585 
 585 
 586 
 587 
 588 
 588 
 590 
 590 
 591 
 592 
 593 
 594 
 594 
 595 
 596 
 597 
 598 
 599 
 599 
 600 
 SO] 
 602 
 603 
 604 
 604 
 
 9816272 
 9815716 
 9815160 
 9814603 
 9814045 
 9813486 
 9812927 
 9812366 
 9811805 
 9811 243 
 9810680 
 9810116 
 9809552 
 9808986 
 9808420 
 9807853 
 9807285 
 9806716 
 9806147 
 9805576 
 9805005 
 9804433 
 9803860 
 9803286 
 9802712 
 9802136 
 9801560 
 980098^3 
 9800405 
 9799827 
 9799247 
 9798667 
 9798086 
 9797504 
 9796921 
 9796337 
 9795752 
 
 9795167 
 9794581 
 9793994 
 9793406 
 9792818 
 9792228 
 9791638 
 9791047 
 9790455 
 9789862 
 9789268 
 9788674 
 97880/9 
 9787483 
 9786886 
 9786288 
 9785689 
 9785090 
 9784490 
 9783889 
 9783287 
 9782684 
 9782080 
 9781476 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 
 47 
 46 
 45 
 44 
 43 
 42 
 
 41 
 
 40 
 
 39 
 
 38 
 
 37 
 
 36 
 
 35 
 
 34 
 
 33 
 
 32 
 
 31 
 
 30 
 
 29 
 
 28 
 
 27 
 
 26 
 
 25 
 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 
 19 
 
 18 
 
 17 
 
 16 
 
 15 
 
 14 
 
 13 
 
 12 
 
 11 
 
 10 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 
 4 
 
 3 
 
 2 
 
 1 
 
 
 
 Vers. I Secant Cotan. Tang. Cosec. Covers D. Sine 
 
 Ben. 78. 
 
10 G. SINES, &C. 
 
 11 Deg^ 
 
 ' Sine Dif. Cosec. Verseds. Tanic. Dif. Cotaiiij;. Covers. Secant D. Cosine 
 
 (2' 
 
 9-2805988 
 9-2812483 
 9-2818967 
 9-2825441 
 2831905 
 9-2838359 
 9-2844803 
 9-2851237 
 9-2857661 
 9-2864076 
 9-2870480 
 9-2876875 
 9-2883260 
 9-2889636 
 9-2896001 
 9-2902357 
 9-2908704 
 9-2915040 
 9-2921367 
 9-2927685 
 9-2933993 
 9-2940291 
 9-2946580 
 9-2952859 
 9-2959129 
 9-2965390 
 9-2971641 
 9-2977883 
 9-2984116 
 9-2990339 
 9-2996553 
 
 9-3002758 
 9-3008953 
 9-3015140 
 9-3021317 
 9-3027485 
 9-3033644 
 9-3039794 
 9-3045934 
 9-3052066 
 9-3058189 
 3064303 
 9-3070407 
 9-3076503 
 9-3082590 
 9-3088668 
 9-3094737 
 9-3100798 
 9-3106849 
 9-3112892 
 9-3118926 
 9-3124951 
 9-3130968 
 9-3136976 
 9-3142975 
 9-3148965 
 9-3154947 
 9-3160921 
 9-3166885 
 9-3172841 
 9-3178789 
 
 Cosine 
 
 6495 
 
 6484 
 
 6474 
 
 6464 
 
 6454 
 
 6444 
 
 6434 
 
 6424 
 
 6415 
 
 6404 
 
 639 
 
 6385 
 
 6376 
 
 6365 
 
 63^6 
 
 6347 
 
 6336 
 
 6327 
 
 6318 
 
 6308 
 
 6298 
 
 6289 
 
 6279 
 
 6270 
 
 6261 
 
 6251 
 
 6242 
 
 6233 
 
 6223 
 
 6214 
 
 6205 
 
 6195 
 
 6187 
 
 6177 
 
 6168 
 
 6159 
 
 6150 
 
 6140 
 
 6132 
 
 6123 
 
 6114 
 
 6104 
 
 6096 
 
 6087 
 6078 
 6069 
 6061 
 6051 
 6043 
 6034 
 6025 
 6017 
 6008 
 5999 
 5990 
 5982 
 5974 
 5964 
 5956 
 5948 
 
 Dif. 
 
 10-7194012 
 10-7187517 
 10-7181033 
 10-7174559 
 10-7168095 
 10-7161641 
 10-7155197 
 10-7l4>i763 
 10-7142339 
 10-7135924 
 10-7129520 
 10-7123125 
 10-7116740 
 10-7110364 
 10-7103999 
 10-7097643 
 10-7091296 
 10-7084960 
 10-7078633 
 10-7072315 
 10-7066007 
 10-7059709 
 10-7053420 
 10-7047141 
 10-7040871 
 10-7034610 
 10-7028359 
 10-7022117 
 10-7015884 
 10-7009661 
 10-7003447 
 10-6997242 
 10-6991047 
 10-6984860 
 10-6978683 
 10-6972515 
 10-6966356 
 10-6960206 
 10-6954066 
 10-6947934 
 10-6941811 
 10-6935697 
 10-6929593 
 
 10-6923497 
 10-6917410 
 10-6911332 
 10-6905263 
 10-6899202 
 10-6893151 
 
 10-6887108 
 10-6881074 
 106875049 
 10-6869032 
 10-6863024 
 10-6857025 
 10-6851035 
 10-6845053 
 10-6839079 
 10-6833115 
 10-6827159 
 10-6821211 
 
 •2641757 
 -2654867 
 ■26679^07 
 -2681028 
 •2694078 
 •2707109 
 -2720119 
 -2733111 
 •2746082 
 •2759035 
 •2771967 
 •2784880 
 •2797774 
 -2810649 
 •2823504 
 •2836341 
 •2849158 
 •2861956 
 •2874735 
 •2887495 
 •2900236 
 •2912958 
 •2925661 
 •2938346 
 •2951012 
 •2963660 
 •2976289 
 •2988899 
 •3001491 
 •3014064 
 •3026619 
 •3039156 
 •3051675 
 ■3064175 
 ■3076657 
 ■3089122 
 ■3101568 
 •3113996 
 •3126406 
 •3138798 
 •3151172 
 ■3163529 
 ■3175868 
 •3188189 
 •3200493 
 •3212779 
 •3225047 
 •3237298 
 •3249532 
 
 •3261748 
 •3273947 
 •3286128 
 •3298292 
 •3310439 
 -3322569 
 •3334682 
 •3346778 
 •3358857 
 •3370918 
 •3382963 
 •3394991 
 
 9^2H86523 
 9-2893263 
 9-2899993 
 9-2906713 
 [9-2913424 
 9-2920126 
 9-2926817 
 9-2933500 
 9-2940172 
 9-2946836 
 9-2953489 
 9-2960134 
 9-2966769 
 9-2973395 
 9-2980011 
 9-2986618 
 9-2993216 
 9-2999804 
 9-3006383 
 9-3012954 
 3019514 
 9-3026066 
 9-3032609 
 9-3039143 
 9-3045667 
 9-3052183 
 9-3058689 
 9-3065187 
 9-3071675 
 9-3078155 
 9-3084626 
 
 9-3091088 
 9-3097541 
 9-3103985 
 9-3110421 
 9-3116848 
 9^3123266 
 9-3129675 
 9-3136076 
 9^3 142468 
 9^3148851 
 9^3155226 
 9-3161592 
 9-3167950 
 9-3174299 
 9-3180640 
 9-3186972 
 9-3193295 
 9-3199611 
 9-3305918 
 9-3212216 
 9-3218506 
 9-3224788 
 9^3231061 
 9-3237327 
 9-3243584 
 9-3249832 
 9-3256073 
 9-3262305 
 9-3268629 
 9-3274745 
 
 Secant Covers. Cotang. Dif 
 
 6740 
 
 6730 
 
 6720 
 
 6711 
 
 6702 
 
 6691 
 
 6683 
 
 6672 
 
 6664 
 
 6653 
 
 6645 
 
 6635 
 
 6626 
 
 6616 
 
 6607 
 
 6598 
 
 65 
 
 6579 
 
 6571 
 
 6560 
 
 6552 
 
 6543 
 
 6534 
 
 6524 
 
 6516 
 
 6506 
 
 6498 
 
 6488 
 
 6480 
 
 6471 
 
 6462 
 
 6453 
 
 6444 
 
 6436 
 
 6427 
 
 6418 
 
 6409 
 
 6401 
 
 6392 
 
 6383 
 
 6375 
 
 6366 
 
 6358 
 
 6349 
 
 6341 
 
 6332 
 
 6323 
 
 6316 
 
 6307 
 
 6298 
 
 6290 
 
 6282 
 
 6273 
 
 6266 
 
 6257 
 
 6248 
 
 6241 
 
 6232 
 
 6224 
 
 6216 
 
 10-7113477 
 10-7106737 
 10-7100007 
 10-7093287 
 10.7086576 
 10-7079874 
 10-7073183 
 10-7066500 
 10-7059828 
 10-7053164 
 10-7046511 
 10-7039866 
 10-7033231 
 10-7026605 
 10-7019989 
 10-7013382 
 10-7006784 
 10-7000196 
 10-6993617 
 10-6987046 
 10-S980486 
 10-6973934 
 
 9^9080510 
 9-9078978 
 9-9077445 
 9-9075911 
 9-9074377 
 9-9072842 
 9-9071307 
 9-9069772 
 9-9068236 
 9-9066699 
 9-9065163 
 9-9063625 
 9-9062087 
 9-9060549 
 9-9059011 
 9-9057471 
 9-9055932 
 9-9054392 
 9-9052851 
 9-9051310 
 9-9049769 
 9-9048227 
 
 10-6967391 9-9046685 
 10-6960857 9-9045142 
 10-6954333 9-9043599 
 
 10-6947817 
 10-6941311 
 10-6934813 
 10-6928325 
 10^692 1845 
 10^69 15374 
 10-6908912 
 10-6902459 
 10-6896015 
 10-6889579 
 10-6883152 
 10-6876734 
 IC-6870325 
 1 0^6863924 
 10^6857532 
 10-6851149 
 10-6844774 
 10-6838408 
 10-6832050 
 10-6825701 
 10-6819360 
 10-6813028 
 10-6806705 
 10-6800389 
 10^6794082 
 10^6787784 
 10^6781494 
 10^6775212 
 10-6768939 
 10-6762673 
 10-6756416 
 10^6750168 
 10-6743927 
 10-6737695 
 10-6731471 
 10-6725255 
 
 9-9042056 
 9-9040511 
 9-9038966 
 9-9037421 
 9-9035876 
 9-9034330 
 9-9032783 
 9-9031236 
 9-9029689 
 9-9028141 
 9-9025593 
 9-9025044 
 9-9023495 
 9-9021945 
 9-9020395 
 9-9018845 
 9-9017294 
 9-9015742 
 9-9014190 
 9-9012638 
 
 9011085 
 9'9009531 
 9-9007978 
 
 9006423 
 9-9004869 
 9-9003313 
 9-9001758 
 9-8990202 
 9-8998645 
 9-8997088 
 9-8995531 
 9-8993973 
 
 8992414 
 9-8990855 
 9-8989296 
 9-8987736 
 
 Tang". Verseds 
 
 10-00H0,i34 
 10-0080780 
 10-0081026 
 10-0081273 
 10-0081520 
 10-0081767 
 10-0082014 
 10-0082263 
 10-0082511 
 10-0082760 
 10-0083009 
 10-0083259 
 10-0083508 
 10-0083759 
 10-0084010 
 10-0084261 
 10-0084512 
 10-0084764 
 10-0085016 
 10-0085269 
 10-0085522 
 10-0085775 
 10-0086029 
 10-0086283 
 10-0086538 
 10-0086793 
 10-0087048 
 10^0087304 
 10-0087560 
 10-0087816 
 10-0088073 
 10-0088330 
 10-0088588 
 10-0088846 
 10-0089104 
 10-0089363 
 10-0089622 
 10-0089881 
 10-0090141 
 10-0090402 
 10-0090662 
 10-0090923 
 10-0091185 
 
 10-0091447 
 10-0091709 
 10-0091971 
 10-0092234 
 10-0092498 
 10-0092761 
 10-0093026 
 10-0093280 
 10-0093555 
 10-0093820 
 10-0091086 
 10-0094352 
 
 10-0094618 
 1 0^0094885 
 10-0095152 
 10-0095420 
 10-0095688 
 10-0095956 
 
 246 
 246 
 247 
 247 
 247 
 247 
 249 
 248 
 249 
 249 
 250 
 249 
 251 
 251 
 251 
 251 
 252 
 252 
 263 
 253 
 253 
 254 
 254 
 255 
 255 
 255 
 256 
 256 
 256 
 257 
 257 
 258 
 258 
 258 
 259 
 259 
 259 
 260 
 261' 
 260 
 261 
 262 
 262 
 262 
 262 
 263 
 264 
 263 
 265 
 264 
 265 
 265 
 266 
 266 
 266 
 
 267 
 
 267 
 
 268 
 268 
 268 
 
 •991946 
 -991922 
 •S91897 
 •991872 
 -99184g 
 •995 823 
 -991798 
 '991773 
 -991748 
 -991724 
 -991698 
 -991674 
 -991649 
 •991624 
 -99l59fl 
 -991573 
 -.991548 
 •991523 
 -991498 
 •991473 
 •991447 
 •991422 
 •991397 
 •991371 
 •991346 
 •991320 
 ■991295 
 ■991269 
 •991244 
 991218 
 ■991192 
 
 •991167 
 991141 
 991115 
 ■991089 
 ■991063 
 991037 
 991011 
 ■990985 
 990959 
 990933 
 ■990907 
 '990881 
 990855 
 990829 
 ■9D0802 
 •990776 
 990750 
 990723 
 •990697 
 •990671 
 •990644 
 •990618 
 990591 
 990564 
 ■990538 
 ■990511 
 •990484 
 ■990458 
 ■990431 
 ■990404 
 
 Cosec. D. Sine 
 
(272) 12 Deg. NATURAL SINES, Sec 
 
 Tab. 10. 
 
 Sine 
 
 Dif. 
 
 •2079117 
 •20H\9S2 
 2084807 
 
 _^087e52 
 2090407 
 •iO;).^341 
 209G186 
 2099030 
 2I01B74 
 2104718 
 2107561 
 2110405 
 2113248 
 
 2116091 
 
 2118934 
 
 2121777 
 
 2124619 
 
 2127462 
 
 2130304 
 
 2133146 
 
 2135988 
 
 2138829 
 
 2141671 
 
 2144512 
 
 2147353 
 
 2150194 
 
 2153035 
 
 2155876 
 
 2158716 
 
 2161556 
 
 2164396 
 
 2167236 
 
 2170076 
 
 2172915 
 
 2175754 
 
 2178593 
 
 2181432 
 
 2184271 
 
 2187110 
 
 2189948 
 
 2192786 
 
 2195624 
 
 2198462 
 
 2201300 
 
 2204137 
 
 2206974 
 
 2209811 
 
 2212648 
 
 2215485 
 
 2218321 
 
 2221158 
 
 2223994 
 
 2226830 
 
 2229666 
 
 2232501 
 
 2235337 
 2238172 
 2241007 
 2243842 
 2246676 
 2249511 
 
 2845 
 2845 
 2845 
 2845 
 2844 
 845 
 2844 
 2844 
 2844 
 2843 
 2844 
 2843 
 2843 
 2843 
 2843 
 2842 
 2843 
 2842 
 2842 
 
 Covers 
 
 2842 
 2841 
 2842 
 2841 
 2841 
 2841 
 2841 
 2841 
 2840 
 2840 
 2840 
 2840 
 2840 
 2839 
 2839 
 2839 
 2839 
 2839 
 2839 
 2838 
 2838 
 2838 
 2838 
 2838 
 
 2837 
 
 2837 
 
 2837 
 
 2837 
 
 2837 
 
 2836 
 
 2837 
 
 2836 
 
 2836 
 
 2836 
 
 2835 
 
 2836 
 
 283 
 
 283 
 
 2835 
 
 2834 
 
 2835 
 
 7920883 
 
 7918038 
 
 7915193 
 
 7912348 
 
 7909503 
 
 7906659 
 
 7903814 
 
 7900970 
 
 7898126 
 
 7895282 
 
 7892439 
 
 7889595 
 
 7886752 
 
 7883909 
 
 7881066 
 
 7878223 
 
 7875381 
 
 7872538 
 
 7869696 
 
 7866854 
 
 7864012 
 
 7861171 
 
 7858329 
 
 7855488 
 
 7852647 
 
 7849806 
 
 7846965 
 
 7844124 
 
 7841284 
 
 7838444 
 
 7835604 
 
 7832764 
 
 7829924 
 
 7827085 
 
 Cosec. 
 
 4-8097343 
 4-8031613 
 4-796606(5 
 4-7900702 
 4-7835520 
 4-7770519 
 4-7705699 
 4-7641058 
 4-7576596 
 4-7512312 
 4-7448206 
 4-7384277 
 4-7320524 
 4-7256945 
 4-7193542 
 4-7130313 
 4-7067256 
 4-7004372 
 4-6941660 
 4-6879119 
 4-6816748 
 4-6754548 
 4-6692516 
 4-6630652 
 4-6568956 
 
 4-6507427 
 4-6446064 
 4-6384867 
 4-6323835 
 4-6262967 
 4-6202263 
 4-6141722 
 4-6081343 
 4-6021126 
 
 Tang. 
 
 Cotang. 
 
 7824246 
 7821407 
 7818568 
 7815729 
 7812890 
 7810052 
 7807214 
 7804376 
 7801538 
 7798700 
 7795863 
 7793026 
 7790189 
 
 Cosine 
 
 Dif. 
 
 4-5961070 
 4-5901174 
 4-5841439 
 4-5781862 
 4-5722444 
 4-&663183 
 4-5604080 
 4-5545134 
 4-5486344 
 
 4-5427709 
 4-5369229 
 4-5310903 
 4-5252730 
 
 7778842 
 7776006 
 7773170 
 7770334 
 7767499 
 7764663 
 7761828 
 7758993 
 7756158 
 7753324 
 7750489 
 
 Vers. 
 
 77873524-5194711 
 
 7784515 
 
 7781679 
 
 4-3136844 
 4-5079129 
 
 4-5021565 
 4-4964152 
 4-4906889 
 4-4849775 
 4-4792810 
 4-4735993 
 4-4679324 
 4-4622803 
 4-4566428 
 4-4510198 
 4-4454115 
 
 2125566 
 2128606 
 2131647 
 2134688 
 2137730 
 2140772 
 2143814 
 
 2146857 
 
 2149900 
 
 2152944 
 
 2155988 
 
 2159032 
 
 2162077 
 
 2165122 
 
 2168167 
 
 2171213 
 
 2174259 
 
 2177306 
 
 2180353 
 
 2183400 
 
 2186448 
 
 2189496 
 
 2192544 
 
 2195593 
 
 2198643 
 
 2201692 
 
 2204742 
 
 2207793 
 
 2210844 
 
 2213895 
 
 2216947 
 
 2219999 
 
 2223051 
 
 2226 I C4 
 
 2229157 
 
 223221 
 
 2235265 
 
 2238319 
 
 2241374 
 
 2244429 
 
 2247485 
 
 2250541 
 
 2253597 
 
 2266654 
 
 2259711 
 
 2262769 
 
 2265827 
 
 2268885 
 
 2271944 
 
 2275003 
 
 2278063 
 
 2281123 
 
 2284184 
 
 Secant 
 
 Secant 
 
 4-7046301 
 
 4-6979100 
 
 ^ -69 12083 
 
 4-6845248 
 
 4-677859 
 
 4-6712124 
 
 4-6645832 
 
 4-6579721 
 
 4-6513788 
 
 4-6448034 
 
 4-6382457 
 
 4-63170 
 
 4-6251832 
 
 4-6186788 
 
 4-6121908 
 
 4-6057207 
 
 4-5992680 
 
 4-5928325 
 
 4-5864141 
 
 4-5800129 
 
 4-5736287 
 
 4-5672615 
 
 4-5609111 
 
 4-5545776 
 
 4-5482608 
 
 4-5419608 
 
 4-5356773 
 
 4-5294105 
 
 4-5231601 
 
 4-5169261 
 
 4-5107085 
 
 4-5045072 
 
 4-4983221 
 
 4-4921532 
 
 4-4860004 
 
 4-4798636 
 
 4-4737428 
 
 4-4676379 
 
 4-4615489 
 
 4-4554756 
 
 4-4494181 
 
 4-4433762 
 
 4-4373500 
 
 4-4313392 
 
 4-4253439 
 
 4-4193641 
 
 4-4133996 
 
 4-4074504 
 
 4-4015164 
 
 4-3955977 
 4-3896940 
 4-3838054 
 4-3779317 
 2287244 4-3720731 
 22903064-3662293 
 2293367 4-3604003 
 2296429 4-3545861 
 2299492|4-3487866 
 2302555 4-3430018 
 
 1-0223406 
 1-0224039 
 1-0224672 
 1-0225307 
 I -0225942 
 1-0226578 
 1-0227216 
 1-0227854 
 1-0228493 
 1-0229133 
 1-0229774 
 1-0230416 
 
 0231059 
 1-0231703 
 1-0232348 
 
 0232994 
 
 Vers. 
 
 D 
 
 0218524 
 0219129 
 0219735 
 0220342 
 0220950 
 0221558 
 0222168 
 0222778 
 0223389 
 0224001 
 0224613 
 0225227 
 0225841 
 0226456 
 0227072 
 0227689 
 
 1-0233641 0228307 
 1-023428810228925 
 
 2305618 
 2308682 
 
 4-3372,316 
 4-33 147P 
 
 1-0234937 
 1-0235587 
 1-0236237 
 1-0236889 
 1-0237541 
 1-0238195 
 1-0238849 
 1-0239504 
 1-0240161 
 1-0240818 
 1-0241476 
 1-0242135 
 1-0242795 
 1-0243456 
 0244118 
 1-0244781 
 1-0245445 
 1-0246110 
 1-0246776 
 1-0247442 
 1-02481K) 
 1-0248779 
 1-0249448 
 1-0250119 
 1-0250790 
 1-0251463 
 1-0252136 
 1-0252811 
 1-0253486 
 1-0254162 
 1-0254839 
 1-0255518 
 1-0256197 
 1-0256877 
 1-0257568 
 1-0258240 
 1-0258923 
 
 1-0259607 
 1 -0260292 
 1-0260978 
 1-0261665 
 1-0262352 
 1-0263041 
 
 Cosine 
 
 Cotan. Tang. 
 
 0229544 
 0230164 
 0230785 
 0231407 
 0232030 
 0232653 
 0233277 
 0233902 
 0234528 
 0235155 
 0235782 
 0236411 
 0237040 
 0237670 
 0238301 
 0238932 
 0239565 
 0240198 
 0240832 
 
 0241467 
 0242103 
 0242740 
 0243377 
 0244016 
 0244655 
 0245294 
 0245935 
 0246577 
 0247219 
 0247862 
 0248506 
 0249151 
 0249797 
 0250444 
 0251091 
 0251739 
 0252388 
 0253038 
 0253689 
 0254340 
 0254992 
 0255645 
 0256299 
 
 605 
 
 606 
 
 607 
 
 608 
 
 608 
 
 610 
 
 610 
 
 611 
 
 612 
 
 612 
 
 614 
 
 614 
 
 615 
 
 616 
 
 617 
 
 618 
 
 618 
 
 619 
 
 620 
 
 621 
 
 622 
 
 623 
 
 623 
 
 624 
 
 625 
 
 626 
 
 627 
 
 627 
 
 629 
 
 629 
 
 630 
 
 631 
 
 631 
 
 633 
 
 633 
 
 634 
 
 635 
 
 636 
 
 637 
 
 637 
 
 9781476 
 
 9780871 
 9780265 
 9779658 
 9779050 
 9778442 
 9777832 
 
 9777222 
 9776611 
 9775999 
 9775387 
 9774773 
 9774159 
 9773544 
 9772928 
 9772311 
 9771693 
 9771075 
 9770456 
 
 9769836 
 9769215 
 9768593 
 9767970 
 9767347 
 9766723 
 
 9766098 
 9765472 
 
 9764845 33 
 
 Cosec. 
 
 Covers 
 
 640 
 639 
 641 
 642 
 642 
 643 
 644 
 645 
 646 
 647 
 647 
 648 
 649 
 650 
 651 
 651 
 652 
 653 
 654 
 
 9764218 
 9763589 
 9762960 
 9762330 
 9761699 
 9761068 
 9760435 
 9759802 
 9769168 
 9758533 
 9767897 
 9757260 
 9766623 
 9755986 
 9756345 
 9754706 
 9754065 
 9763423 
 9752781 
 9752138 
 9751494 
 9750849 
 9750203 
 9749556 
 9748909 
 9748261 
 9747612 
 9746962 
 9746311 
 9745660 
 9745008 
 9744356 
 9743701 
 
 I) 
 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 17 
 16 
 15 
 14 
 13 
 12 
 
 10 
 9 
 8 
 7 
 6 
 5 
 4 
 
 Sine 
 
 Desf. 77. 
 
1 9 De^. 
 
 LOG. STIFFS, kc. 
 
 (&: 
 
 Mne 
 
 9-3178789 
 9-3184728 
 9-3 190659 
 -3196581 
 9-3202495 
 9-3208400 
 9-3214297 
 9-3220186 
 9-3226066 
 9-3231938 
 9-3237802 
 9-3243657 
 9-3249505 
 9-3255344 
 9-3261174 
 9-3266997 
 9-3272811 
 9-3278617 
 9-3284416 
 
 9-3290206 
 9-3295988 
 9-3301761 
 9-3307527 
 9-3313285 
 3319035 
 
 9-3324777 
 9-3330511 
 9-3336237 
 9-3341955 
 9-3347665 
 9-3353368 
 9-3359062 
 9-3364749 
 9-3370428 
 9-3376099 
 9-3381762 
 3587418 
 9-3393065 
 9-3398706 
 9-3404338 
 9-3409963 
 9-3415580 
 9-3421190 
 
 9-3426792 
 9-3432386 
 9-3437973 
 9-3443552 
 
 M49124 
 9-3454688 
 9-3460245 
 9-3465794 
 9-3471336 
 9-3476870 
 9-3482397 
 9-3487917 
 9-3493429 
 
 3498934 
 9-3504432 
 9-3509922 
 9-3515405 
 
 3520880 
 
 Dit. 
 
 5939 
 5931 
 5922 
 5914 
 5905 
 58,97 
 5889 
 5880 
 5872 
 5864 
 5855 
 5848 
 5839 
 5830 
 5823 
 5814 
 
 806 
 5799 
 5790 
 5782 
 5773 
 5766 
 5758 
 
 750 
 5742 
 
 5734 
 i.726 
 )718 
 )710 
 5703 
 5694 
 
 5687 
 
 679 
 
 671 
 
 5663 
 
 5656 
 
 5647 
 
 5641 
 
 5632 
 
 5625 
 
 5617 
 
 5610 
 
 602 
 
 594 
 
 5587 
 5579 
 5572 
 5564 
 5557 
 5549 
 5542 
 5534 
 5527 
 5520 
 5512 
 5505 
 5498 
 5490 
 5483 
 5475 
 
 C0S(! 
 
 ■6821211 
 
 •6815272 
 
 •6809341 
 
 •6803419 
 
 •679750.^ 
 
 •6791600 
 
 •6785703 
 
 •677981 
 
 •6773934 
 
 '6768062 
 
 ■6762198 
 
 •6756343 
 
 •6750495 
 
 •6744656 
 
 •6738826 
 
 •6733003 
 
 •6727189 
 
 6721383 
 
 6715584 
 
 6709794 
 
 6704012 
 
 6698239 
 
 6692473 
 
 6686715 
 
 6680965 
 
 6675223 
 
 6669489 
 
 6663763 
 
 6658045 
 
 6652335 
 
 6646632 
 
 6640938 
 
 6635251 
 
 6629572 
 
 6623901 
 
 6618238 
 
 6612582 
 
 6606935 
 
 6601294 
 
 6595652 
 
 6590037 
 
 6584420 
 
 6578810 
 
 6573208 
 
 6567614 
 
 6562027 
 
 6556448 
 
 6550876 
 
 6545312 
 
 6539755 
 
 6534206 
 
 6528664 
 
 6523130 
 
 6517603 
 
 6512083 
 
 6506571 
 
 6501066 
 
 ■6495568 
 
 •6490078 
 
 ■6484595 
 
 •6479120 
 
 Verseds 
 
 •3394991 
 •3407002 
 •3418997 
 ■3430975 
 •3442936 
 •3454880 
 ■3466808 
 •3478719 
 •3490614 
 •3502492 
 3514354 
 3526200 
 ■3538029 
 3549842 
 3561639 
 3573419 
 3585184 
 3596932 
 3608664 
 3620381 
 3632081 
 3643765 
 3655434 
 3667086 
 -3678723 
 
 -3690344 
 -3701950 
 •3713539 
 •3725114 
 •3736672 
 •3748215 
 •3759743 
 ■3771255 
 ■3782751 
 •3794232 
 •3805698 
 •3817149 
 •3828584 
 •3840004 
 •3851409 
 •3862799 
 •3874174 
 •3885533 
 •3896878 
 •3908207 
 •3919522 
 •3930822 
 ■3942107 
 •3953377 
 •3964632 
 •3975873 
 -3987098 
 •3998310 
 •4009506 
 •4020688 
 •4031855 
 -4043008 
 •4054147 
 •4065270 
 -4076380 
 -4087475 
 
 Tanir. DiF. Cotang. Covers. 
 
 9-3274745 
 9-3280953 
 9-3287153 
 9-3293345 
 9-3299528 
 9-3305704 
 9-3311872 
 9-3318031 
 9-3324183 
 9-3330327 
 9-3336463 
 9-3342591 
 9-3348711 
 9-3354823 
 9-3360927 
 9-3367024 
 9-3373113 
 9-3379194 
 9-3385267 
 9-3391333 
 9-3397391 
 9-3403441 
 9-3409484 
 9-3415519 
 9-3421 54S 
 
 9-3427566 
 9-3433578 
 9-3439583 
 9-3445580 
 9-3451570 
 9-3457552 
 
 9-3463527 
 9-3469494 
 9-3475454 
 
 3481407 
 9-3487352 
 9-3493290 
 9-3499220 
 9-3505143 
 
 3511059 
 9-3516968 
 9-3522869 
 
 3528763 
 9-3534650 
 9-3540530 
 9-3546402 
 9-3552267 
 9-3558126 
 9-3563977 
 9-3569821 
 
 3575658 
 9-3581487 
 9-3587310 
 9-3593126 
 9-3598935 
 9-3604736 
 9-3610531 
 9-361631S 
 9-3622100 
 9-3627874 
 9-3633641 
 
 6208 
 6200 
 6192 
 6183 
 6176 
 6168 
 6159 
 6152 
 6144 
 6136 
 6128 
 6120 
 6112 
 6104 
 6097 
 6089 
 6081 
 6073 
 6066 
 6058 
 6050 
 6043 
 6035 
 6027 
 6020 
 6012 
 6005 
 5997 
 5990 
 5982 
 3975 
 
 5967 
 5960 
 5953 
 5945 
 6938 
 5930 
 692S 
 5916 
 5909 
 5901 
 5894 
 5887 
 5880 
 5872 
 5865 
 5859 
 5851 
 5844 
 583 
 5829 
 823 
 5816 
 5809 
 5801 
 5795 
 5788 
 5781 
 5774 
 5767 
 
 10-6725255 
 
 10-6719047 
 
 10-6712847 
 
 10-6706655 9 
 
 10-6700472 9 
 
 10-6694296 
 
 10-6688128 
 
 10-6681969 
 10-6675817 
 10-6669673 
 10-6663537 
 10-6657409 
 10-6651289 
 
 10-6645177 
 10-6639073 
 10-6632976 
 10-6626887 
 10-6620806 
 10-6614733 
 0-6608667 
 10-6602609 
 10-6596559 
 10-6590516 
 10-6584481 
 10-6578454 
 
 10-6572434 
 10-6566422 
 10-6560417 
 10-6554420 
 10-6548430 
 10-6542448 
 10-6536473 
 10-6530506 
 10-6524546 
 10-6518593 
 10-6512648 
 10-6506710 
 10-6500780 
 10-6494857 
 10-6488941 
 10-6483032 
 10-6477131 
 10-6471237 
 10-6465350 
 10-6459470 
 10-6453598 
 10-6447733 
 10-6441874 
 10-6436023 
 
 10-6430179 
 10-6424342 
 10-6418513 
 10-6412690 
 10-6406874 
 10-6401065 
 10-6395264 
 10-6389469 
 10-6383681 
 10^6377900 
 10-6372126 
 10-6366359 
 
 •8987736 
 8986176 
 8984615 
 8983054 
 8981492 
 8979930 
 8978367 
 
 9-8976804 
 9-897524 
 9-8973677 
 8972112 
 9-8970547 
 9-8968982 
 
 9-8967416 
 
 9-8965850 
 
 9-8964283 
 
 9-8962716 
 
 9-8961148 
 
 9-8959580 
 
 9-8958011 
 
 9-8956442 
 
 9-8954872 
 
 9-8953302 
 
 8951732 
 
 8950161 
 
 9-8948589 
 
 9-8947017 
 
 9-8945445 
 
 9-8943872 
 
 9-8942299 
 
 9-894072 
 
 9-8939150 
 
 9-8937576 
 
 8935000 
 
 8934425 
 
 8932849 
 
 8931272 
 
 9-8929695 
 
 8928117 
 
 8926539 
 
 8924961 
 
 8923382 
 
 8921802 
 
 9-8920222 
 
 9-8918642 
 
 9-8917061 
 
 9-8915480 
 
 9-8913898 
 
 9-8912316 
 
 9-8910733 
 9-8909150 
 9-8907566 
 9-8905982 
 9-8904397 
 9-8902812 
 9-8901226 
 9-8899640 
 9-8898054 
 9-8896467 
 9-8894879 
 9-8893291 
 
 Secant D. Cosine 
 
 10-0095956 
 10-0096225 
 10-0096494 
 10-0096763 
 10-0097033 
 10-0097303 
 10-0097574 
 10-0097845 
 10-0098117 
 10-0098388 
 10-0098661 
 10-0098933 
 10-0099206 
 10-0099479 
 10-0099753 
 10-0100027 
 10-0100302 
 10-0100577 
 10-0100852 
 
 10-0101127 
 10-0101403 
 10-0101680 
 10-0101957 
 10-0102234 
 10-0102511 
 10-0102789 
 10-0103068 
 10-0103346 
 10-0103626 
 10-0103906 
 10-0104185 
 10-0104465 
 10-0104746 
 10-0105027 
 10-0105308 
 10-0105690 
 10-0105872 
 
 0-0106155 
 10-0106438 
 10-0106721 
 10-0107005 
 
 0-0107289 
 10-0107573 
 10-0107858 
 10^0108144 
 10-0108429 
 10-0108715 
 10-0109002 
 10-0109289 
 10^0109576 
 10-0109863 
 10-0110151 
 10-0110440 
 10-0110729 
 10-0111018 
 10-011130 
 10-0111597 
 10-0111887 
 10-0112178 
 10-0112469 
 10-0112761 
 
 269 
 269 
 269 
 270 
 270 
 271 
 271 
 272 
 271 
 273 
 272 
 273 
 273 
 274 
 274 
 276 
 275 
 276 
 275 
 276 
 277 
 277 
 277 
 277 
 278 
 279 
 278 
 280 
 279 
 280 
 280 
 281 
 281 
 281 
 282 
 282 
 283 
 283 
 283 
 284 
 284 
 284 
 285 
 286 
 285 
 08 
 287 
 287 
 287 
 287 
 288 
 2ii9 
 289 
 289 
 289 
 290 
 290 
 291 
 291 
 292 
 
 •990404^ 
 ■990377i 
 •990350( 
 •990323/ 
 ■990296/ 
 ■990269; 
 9902426 
 
 9902 15f 
 9901885 
 99016li 
 9901 33£ 
 9901067 
 9900794 
 -9900521 
 •9900247 
 -9899973 
 •9899698 
 •9899423 
 •9899148 
 •9898873 
 •9898597 
 -989832C 
 •9898043 
 •9897766 
 -989748J) 
 •9897211 
 •989693!^ 
 -9896654 
 ■9896374 
 •9896095 
 •9895815 
 
 •9895535 
 •9895254 
 •9894973 
 •9894692 
 •9894410 
 ■9894128 
 ■9893845 
 •9893562 
 ■9893279 
 ■9892995 
 •9892711 
 •9892427 
 •9892142 
 •9891856 
 •9891571 
 •9891285 
 ■9890998 
 ■9890711 
 •9890424 
 •9890137 
 •9889849 
 988956C 
 •9889271 
 9888982 
 
 9888693 
 988840S 
 9888112 
 ■988782i 
 •9887531 
 •9887231 
 
 ' Cosine Dif. Secant | Covers. Cotang. Dif. Tang. Verseds. Cosec. D. Sine 
 
(C74) 13 
 
 Dc-. 
 
 NATURAL SINES, ScC. 
 
 Tab. 10. 
 
 Dif. 
 
 Sine 
 
 'i'252345 
 
 •22h5\79 
 
 •225801;? 
 
 2200846' 
 
 226'36"80 
 
 226G513 
 
 2269346 
 
 2272179 oo-.o 
 
 2275012'^^-^^ 
 
 Cover> 
 
 2834 
 2834 
 2H34 
 2833 
 2834 
 2833 
 2833 
 2833 
 
 4 
 5 
 6 
 
 7 
 
 8 
 
 9 
 10 
 11 
 12 
 
 13 
 14 
 15 
 16 
 17 
 18 
 19 2303328^0^, 
 
 20|2306i59;y^:;' 
 
 21 230898.9j2p;," 
 
 22 2311819L^f" 
 
 23 2314649L:«^" 
 
 24,2317479^^2 
 2512320309' ,.o 
 26|2323138L9p 
 27j2325967i2829 
 
 2277844^^^ 
 2280677i2poy 
 2283509,^332 
 2236341 Loo, 
 2289172 2p'' 
 22920042^^: 
 229483 5,yJ'^ 
 2297666;.,^"^ 
 2300497,2^3j 
 
 ';33162?«^9 
 2334454 
 
 2812328796 
 
 29 
 
 30 
 
 312337282 
 2340110 
 2342938 
 2345766' 
 2348594 
 2351421 
 
 2354248 
 2357075 
 39 2359902 
 402362729 
 
 41 2365555 
 
 42 2368381 
 
 43 2371207 
 
 44 2374033 
 237/5859 
 23fy684 
 2382510 
 2385335 
 2388159 
 2390984 
 2393808 
 2396633 
 2399457 
 2402280 
 2405104 
 2407927 
 241075 
 2413574 
 2416396 
 2419219 
 
 Cosine 
 
 2828 
 2828 
 2828 
 2828 
 2828 
 2827 
 2827 
 2827 
 2827 
 2827 
 2826 
 2826 
 2826 
 2826 
 2826 
 2825 
 2826 
 2825 
 2824 
 2825 
 2824 
 2825 
 2824 
 2823 
 2824 
 2823 
 2824 
 2823 
 2822 
 2823 
 
 7750489 
 7747655 
 7744821 
 7741987 
 7739154 
 7736320 
 7733487 
 7730654 
 7727821 
 7724988 
 7722156 
 7719323 
 7716491 
 7713659 
 7710828 
 7707996 
 7705165 
 7702334 
 7699503 
 7696G72 
 7693841 
 7691011 
 7688181 
 7685351 
 7682521 
 
 7679691 
 
 7676S6'2 
 
 7674033 
 
 7671204 
 
 766837 
 
 7665546 
 
 7662718 
 
 Cos 
 
 ec. 
 
 4-4454115 
 4-4398176 
 -1-4342382 
 4-4286731 
 4-4231224 
 4-4175859 
 4-4120637 
 4-4065556 
 4-4010616 
 4-3955317 
 4-3901158 
 4-3846638 
 4-3792257 
 4-3738015 
 i-3683910 
 4-3629943 
 4-3576113 
 4-3522419 
 4-3468861 
 4-3415438 
 4-3362150 
 4-3308996 
 4-3255977 
 4-3203090 
 4-3150336 
 4-3097715 
 4-3045225 
 4-2992867 
 4-2940640 
 4-2888543 
 4-2836576 
 
 4-2784738 
 
 rang. 
 
 Cotang 
 
 7659890 4-2733029 
 7657062 4-2681449 
 4-2629996 
 4-2578671 
 4-2527474 
 
 Dif 
 
 7654234 
 7651406 
 7048579 
 7645752 
 7642925 
 7640098 
 7637271 
 7634445 
 7631619 
 7628793 
 7625967 
 7623141 
 7620316 
 7617490 
 7614665 
 7611841 
 7609016 
 7606192 
 7603367 
 7600543 
 7597720 
 7594896 
 7592073 
 7689249 
 7686426 
 7583604 
 758078 
 
 Vers. 
 
 4-2476402 
 4-2425457 
 4-2374637 
 4-2323943 
 4-2273373 
 4-2222928 
 4-2172606 
 4-2122408 
 4-2072333 
 4-2022380 
 4-1972549 
 4-1922840 
 4-1873252 
 4-1823785 
 4-1774438 
 4-1725210 
 4-1676102 
 4-1627114 
 4-1578243 
 4-1529491 
 4-1480856 
 4-1432339 
 4-1383939 
 4-1335655 
 
 2308682 
 2311746 
 2314811 
 2317876 
 2320941 
 2324007 
 2327073 
 2330140 
 2333207 
 2336274 
 2339342 
 2342410 
 2345479 
 2348548 
 2351617 
 2354687 
 2357758 
 2360829 
 2363900 
 
 2366971 
 
 2370044 
 
 2373116 
 
 2376189 
 
 2379262 
 
 2382336 
 
 2385410 
 
 2388485 
 
 2391560 
 
 2394635 
 
 239771 
 
 2400788 
 
 2403864 
 
 2406942 
 
 2410019 
 
 2413097 
 
 2416176 
 
 2419255 
 
 2422334 
 
 2425414 
 
 2428494 
 
 2431575 
 
 2434656 
 
 2437737 
 
 2440819 
 
 2443902 
 
 2446984 
 
 2450068 
 
 2453151 
 
 2456236 
 
 2459320 
 
 2462405 
 
 2465491 
 
 2468577 
 
 2471663 
 
 2474750 
 
 2477837 
 248092.^ 
 2484013 
 2487102 
 2490191 
 2493280 
 
 4-3314759 
 4-3257347 
 4-3200079 
 4-3142955 
 4-3085974 
 4-3029136 
 4-2972440 
 
 4-2915885 
 4-2859472 
 4-2803199 
 4-2747066 
 4-2691072 
 4-2635218 
 4-2579501 
 4-2523923 
 4-2468482 
 4-2413177 
 4-2358009 
 4-2302977 
 4-2248080 
 4-2I933I8 
 4-2138690 
 4-2084196 
 4-2029835 
 4-1975606 
 4-1921510 
 4-1867546 
 4-1813713 
 4-176001 
 4-1706440 
 4-1652998 
 4-1599685 
 4-1546501 
 4-1493446 
 4-1440519 
 4-1387719 
 4-1335046 
 4-1282499 
 4-123C079 
 4-1177784 
 4-1125614 
 1073569 
 4-1021649 
 4-0969852 
 4-091B178 
 4-0866627 
 4-0815199 
 4-0763892 
 4-0712707 
 4-0661643 
 4-0610700 
 4-0559377 
 4-0509174 
 4-0458590 
 4-0408125 
 
 4-0357779 
 4-0307550 
 4-0257440 
 4-0207446 
 4 0157570 
 4-0107809 
 
 Secant 
 
 1-0263041 
 1-0263731 
 1-0264421 
 1-0265113 
 1-0265806 
 1-0266499 
 1-0267194 
 
 1-0267889 
 1-0268586 
 1-0269283 
 1-0269982 
 1-0270681 
 1-0271381 
 1-0272082 
 1-0272785 
 1-0273488 
 1-02741*)2 
 1-0274897 
 1-0275603 
 1-0276310 
 1-0277018 
 1-0277727 
 1-0278437 
 1-0279148 
 1-0279860 
 1-0280573 
 1-0281287 
 1-0282002 
 1-0282717 
 1-0283434 
 1-0284152 
 1-0284871 
 
 Vers. 
 
 Secant iCotan. 
 
 Tang. 
 
 1-0285590 
 1 -02363 11 
 1-0287033 
 1-0287755 
 1-0288479 
 1-0289203 
 1-0289929 
 1-0290655 
 1-0291383 
 1-02921)1 
 1-0292840 
 1-0293571 
 1-0294302 
 1-0295034 
 1-0295768 
 1-0296502 
 1-0297237 
 1-0297973 
 1-0298711 
 1-0299449 
 1-0300188 
 1-0300928 
 1-0301669 
 1-0302411 
 1-0303154 
 1-0303898 
 1-0304643 
 1-0305389 
 1-0306136 
 
 0256299 
 0256954 
 0257610 
 0258266 
 0258923 
 0259581 
 0260240 
 0260900 
 0261561 
 0262222 
 0262884 
 0263547 
 0264211 
 
 0264876 
 
 0265541 
 
 0266207 
 
 0266875 
 
 0267542 
 
 0268211 
 
 026888 
 
 0269551 
 
 0270223 
 
 0270895 
 
 0271568 
 
 0272241 
 
 0272916 
 0273591 
 0274267 
 0274944 
 0275622 
 027630! 
 0276980 
 0277661 
 
 D. 
 
 9743701,60 
 
 Cosine 
 
 655 
 
 656 
 
 656; 
 
 657 
 
 658 
 
 659 
 
 660 
 
 661 
 
 661 
 
 662 
 
 g^^l9736453 
 665 
 
 9743046 
 9742390 
 9741734 
 9741077 
 9740419 
 9739760 
 9739100 
 9738439 
 973777S 
 9737116 
 
 665 
 666 
 668 
 667 
 669 
 670 
 670 
 672 
 672 
 673 
 673 
 675 
 675 
 676 
 677 
 678 
 679 
 679 
 681 
 
 Cosec. 
 
 0278342 
 0279024 
 0279706 
 0280390 
 0281074 
 0281760 
 0282446 
 0283133 
 0283820 
 0284509 
 0285198 
 0285888 
 0286579 
 0287271 
 0287964 
 0288657 
 0289351 
 0290047 
 0290742 
 0291439 
 0292137 
 0292835 
 0293534 
 0294234 
 0294935 
 0295637 
 0296339 
 0297043 
 
 II 
 682 
 682 
 684 
 684 
 686 
 686 
 687 
 687 
 689 
 689 
 690 
 691 
 692 
 693 
 693 
 694 
 696 
 695 
 697 
 698 
 698 
 699 
 700 
 701 
 702 
 702 
 704 
 
 Gov 
 
 ers 
 
 9735789 
 9735124 
 9734459 
 9733793 
 9733125 
 9732458 
 9731789 
 9731119 
 9730449 
 9729777 
 9729105 
 9728432 
 9727759 
 9727084 
 9726409 
 9725733 
 9725056 
 9724378 
 9723699 
 9723020 
 9722339 
 9721658 
 9720976 
 9720294 
 9719610 
 9718926 
 9718240 
 9717554 
 9716867 
 9716180 
 9715491 
 .9714802 
 9714112 
 9713421 
 9712729 
 9712036 
 9711343 
 9710649 
 9709953 
 9709258 
 9708561 
 9707863 
 9707165 
 9706466 
 9705766 
 9705065 
 9704363 
 9703661 
 9702957 
 
 D. 
 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 
 17 
 16 
 15 
 14 
 13 
 12 
 
 11 
 
 10 
 9 
 8 
 7 
 6 
 5 
 4 
 3 
 2 
 1 
 
 
 Sine 
 
 Deff. 76. 
 
13 Deor. 
 
 LOG. SINES, &C. 
 
 (27^ 
 
 Sine Dif 
 
 9-3520880 
 .9-3526349 
 9-3531810 
 9-3537264 
 9-3542710 
 9-3548150 
 9-3553582 
 
 9-3559007 
 9-3564426 
 9-3569836 
 9-3575240 
 9-3580637 
 9-3586027 
 9-3591409 
 9-3596785 
 9-3602154 
 9-3607615 
 9-3612870 
 9-3618217 
 9-3623558 
 9-3628892 
 9-3634219 
 9-3639539 
 9-3644852 
 9-3650158 
 9-3655458 
 9-3660750 
 9-3666036 
 9-3671315 
 9-3676587 
 9-3681853 
 9-3687111 
 9-3692363 
 9-3697608 
 9-3702847 
 9-3708079 
 9-3713304 
 9-3718523 
 9-3723735 
 9-3728940 
 9-3734139 
 9-3739331 
 9-3744517 
 9-3749696 
 9-3754868 
 9-3760034 
 3765194 
 t 9-3770347 
 8 9-3775493 
 
 9-3780633 
 9-3785767 
 9-3790894 
 9-3796015 
 9-3801129 
 9-3806237 
 9-3811339 
 
 6|9-38 16434 
 7 9-3821523 
 B 9-3826605 
 9 9-3831682 
 D|9-3B36752 
 
 Cosine Dif. 
 
 5469 
 5461 
 5454 
 5446 
 5440 
 5432 
 5425 
 5419 
 5410 
 5404 
 5397 
 5390 
 5382 
 5376 
 5369 
 5361 
 5355 
 5347 
 5341 
 
 5334 
 5327 
 5320 
 5313 
 5306 
 5300 
 5292 
 5286 
 5279 
 5272 
 5266 
 5258 
 5252 
 5245 
 5239 
 5232 
 5225 
 5219 
 5212 
 5205 
 5199 
 5192 
 5186 
 5179 
 5172 
 5166 
 5160 
 5153 
 )146 
 5140 
 5134 
 5127 
 5121 
 5114 
 5108 
 5102 
 
 5095 
 5089 
 5082 
 5077 
 5070 
 
 Cosec. Verseds. 
 
 10-6479120 
 10-6473651 
 10-6468190 
 10-6462736 
 10-6457290 
 10-6451850 
 10-6446418 
 10-6440993 
 10-6435574 
 10-6430164 
 10-6424760 
 10-6419363 
 10-6413973 
 10-6408591 
 10-6403215 
 10-6397846 
 10-6392485 
 10-6387130 
 10-6381783 
 10-6376442 
 10-6371108 
 10-6365781 
 10-6360461 
 10-6355148 
 10-6349842 
 
 10-6344542 
 10-6339250 
 10-6333964 
 10-6328685 
 10-6323413 
 10-6318147 
 10-6312889 
 10-6307637 
 10-6302392 
 10-6297153 
 10-6291921 
 10-6286696 
 
 10-6281477 
 
 10-6276265 
 
 10-6271060 
 
 10-6265861 
 
 10-6260669 
 
 10-6255483 
 
 10-6250304 
 
 10-6245132 
 
 10-6239966 
 
 10-6234806 
 
 10-6229653 
 
 10-6224507 
 
 10-6219367 
 
 10-6214233 
 
 10-6209106 
 
 10-6203985 
 
 10-6198871 
 
 10-6193763 
 
 10-6188661 
 
 10-6183566 
 
 10-6178477 
 
 10-6173395 
 
 10-6168318 _ 
 
 10-6163248 8 
 
 ■4087475 
 ■4098556 
 ■4109622 
 ■4120675 
 ■4131713 
 ■4142736 
 ■4153746 
 
 8-4164741 
 8-4175723 
 8-4186690 
 8-4197644 
 8-4208583 
 4219508 
 8-4230420 
 8-4241318 
 8-4252201 
 8-4263(^^2 
 8-4273928 
 8-4284770 
 8-4295599 
 8-4306414 
 8-4317216 
 8-4328004 
 8-4338778 
 8-4349539 
 8-4360286 
 4371020 
 4381740 
 8-4392447 
 8-4403141 
 8-4413821 
 
 ■4424488 
 •4435142 
 •4445783 
 •4^56410 
 ■4467024 
 •4477625 
 •4488213 
 ■4498788 
 •4509350 
 ■4519898 
 ■4530434 
 ■4540957 
 ■4551467 
 ■4561964 
 ■4572448 
 •4582920 
 4593378 
 
 Ta 
 
 ang. 
 
 •3633641 
 ■3639401 
 ■3645155 
 •3650901 
 •3656641 
 -3662374 
 •3668100 
 
 •3673819 
 •3679532 
 •3685238 
 •3690937 
 •3696629 
 •3702315 
 •3707994 
 •3713667 
 •3719333 
 •3724992 
 ■3730645 
 •3736291 
 •3741930 
 ■3747563 
 •3753190 
 •3758810 
 •3764423 
 •3770030 
 •3776631 
 •3781225 
 •3786813 
 •3792394 
 •3797969 
 •3803537 
 •3809100 
 •3814655 
 ■3820205 
 ■3825748 
 •3831285 
 •3836816 
 •3842340 
 •3847858 
 ■3853370 
 ■3858876 
 ■3864376 
 ■3869869 
 
 ■3875356 
 •3880837 
 3886312 
 •3891781 
 
 3897244 
 
 4603824 9-3902700 
 
 4614257 
 4624677 
 4635085 
 4645480 
 4655863 
 4666233 
 
 4676590 
 4686935 
 4697267 
 
 4707587 
 4717894 
 
 •3908151 
 •3913595 
 •3919034 
 •3924466 
 •3929893 
 •3935313 
 
 Dif 
 
 -3940727 
 -3946136 
 -3951538 
 •3956935 
 -3962326 
 4728I89j9-39677n 
 
 Secant t Covers. I Cotane-. Dif. 
 
 5760 
 5754 
 5746 
 5740 
 5733 
 5726 
 5719 
 
 5713 
 5706 
 5699 
 5652 
 5686 
 5679 
 5673 
 5666 
 5659 
 5653 
 5646 
 5639 
 
 5633 
 5627 
 5620 
 5613 
 5607 
 5601 
 
 5594 
 5588 
 5581 
 5575 
 5568 
 5563 
 5555 
 5550 
 5543 
 5537 
 5531 
 5524 
 5518 
 5512 
 5506 
 5500 
 5493 
 5487 
 5481 
 5475 
 5469 
 5463 
 5456 
 5451 
 5444 
 439 
 5432 
 5427 
 5420 
 5414 
 5409 
 5402 
 5397 
 5391 
 5385 
 
 Cotang. 
 
 10-6366359 
 10-6360599 
 10-6354845 
 10-6349099 
 10-6343359 
 10-6337626 
 10-6331900 
 10-6326181 
 10-6320468 
 10-6314762 
 10-6309063 
 10-6303371 
 10-6297685 
 10-6292006 
 10-6286333 
 i 0-6280667 
 10-6275008 
 10-6269355 
 10-6263709 
 10-6258070 
 10-6252437 
 10-6246810 
 10-62411.90 
 10-6235577 
 10-6229970 
 10-6224369 
 10-6218775 
 10-6213187 
 10-6207606 
 10-6202031 
 10-6196463 
 10-6190900 
 10-6185345 
 10-6179795 
 10-6174252 
 10-8168715 
 10-6163184 
 10-6157660 9 
 '9 
 
 Covers.! Secant D. C 
 
 10-6152142 
 10-6146630 
 10-6141124 
 10-6135624 
 10-6130131 
 10-6124644 
 10-6119163 
 10-6113688 
 10-6108219 
 10-6102756 
 10-6097300 
 10-6091849 
 10-6086405 
 10-6080966 
 10-6075534 
 10^60701 07 
 10-6064687 
 10-6059273 
 10-6053864 
 10-6048462 
 10-6043065 
 10-6037674 
 10-6032289 
 
 Tang. 
 
 8893291 
 •8891703 
 •8890114 
 ■8888525 
 ■8886935 
 ■8885344 
 ■8883754 
 ■8882162 
 ■8880571 
 •8878978 
 •8877386 
 ■8875792 
 ■8874199 
 
 ■8872606 
 •8871010 
 ■8869415 
 ■8867819 
 ■8866223 
 ■8864627 
 ■8863030 
 ■8861432 
 •8859834 
 ■8858236 
 ■8856637 
 ■8855038 
 ■8853438 
 ■8851837 
 ■8850236 
 ■8848635 
 ■8847033 
 ■8845431 
 ■8843828 
 ■8842225 
 ■8840621 
 •8839017 
 •8837413 
 •8835807 
 8834202 
 8832596 
 •8830989 
 -8829382 
 -8827775 
 -8826167 
 -8824558 
 •8822.049 
 -8821340 
 -8819730 
 ■8818119 
 -8816508 
 ■8814897 
 8813285 
 8811673 
 8810060 
 8808446 
 8806833 
 8805218 
 8803604 
 •8801988 
 •8800372 
 •8798756 
 •8797140 
 
 Verseds. 
 
 10-0112761 
 10-0113053 
 10-0113345 
 10-0113637 
 10-0113930 
 10-0114224 
 10-0114518 
 10-0114812 
 10-0115106 
 10-0115401 
 10-0115697 
 10-0115992 
 10-0116288 
 10-0116585 
 10-0116882 
 10-0117179 
 10-0117477 
 10-0117776 
 100118073 
 10-0118372 
 10-0118671 
 10-0118971 
 100119271 
 10-0119571 
 10-0119872 
 
 10-0120173 
 10-0120475 
 10-0120777 
 10-0121079 
 10-0121382 
 10-0121685 
 
 10-0121988 
 10-0122292 
 10-0122596 
 10-0122901 
 10-0123206 
 10-0123512 
 10-0123817 
 10-0124124 
 10-0124430 
 10-0124737 
 10-0125045 
 10-0125352 
 
 10-0125661 
 10-0125969 
 10-0126278 
 10-0126587 
 10-0126897 
 10-0127207 
 10-0127518 
 10-0127829 
 10-0128140 
 10-0128451 
 10-0128764 
 10-0129076 
 
 10-0129389 
 10-0129702 
 10-0130016 
 10-0130330 
 10-0130644 
 10-0130959 
 
 Cosec. 
 
 292 
 292 
 292 
 293 
 294 
 294 
 294 
 294 
 295 
 296 
 295 
 296 
 297 
 297 
 297 
 298 
 298 
 298 
 299 
 299 
 300 
 300 
 300 
 301 
 301 
 302 
 302 
 302 
 303 
 503 
 303 
 304 
 304 
 305 
 305 
 306 
 306 
 307 
 306 
 307 
 308 
 307 
 309 
 
 308 
 309 
 309 
 310 
 310 
 311 
 311 
 311 
 311 
 313 
 312 
 313 
 ^13 
 314 
 314 
 314 
 315 
 
 x^sme 
 
 D. 
 
 9-98B7239 
 9-9886947 
 9-9886655 
 9-9886363 
 9-9886070 
 9-9885776 
 9-9885482 
 9-9885188 
 9-9884894 
 9-9884599 
 9-9884303 
 9-9884008 
 9-9883712 
 9-9883415 
 9-9883118 
 9-9882821 
 9-9882523 
 9-9882225 
 9-9881927 
 9-988 1 628 
 9-9881329 
 9-9881029 
 9-9880729 
 9-9880429 
 9-9880128 
 9-9879827 
 9-9879525 
 9-9879223 
 9-9878.921 
 9-9878618 
 9-9878315 
 9-9878012 
 9-9f77708 
 9-9877404 
 9-9877099 
 9-9876794 
 9-9876488 
 9-9876183 
 9-9875876 
 9-9875570 
 9-9875263 
 9-9874955 
 9-9874648 
 9-9874339 
 9-9874031 
 9-9873722 
 9-9873413 
 9-9873103 
 9-9872793 
 9-9872482 
 9-9872171 
 9-9871860 
 9-9871549 
 9-9871236 
 9-9870924 
 9-9870611 
 9-9870298 
 9-9869984 
 9-9869670 
 9-9869356 
 9-9869041 
 
 Sine 
 
 \^4 
 
 'Vi 
 
(276) 14 Deg. NATURAL SINES, &C. 
 
 Tab. 10. 
 
 Sine 
 
 '24\9'219 
 2422041 
 242486;< 
 242r6'85 
 24;J0507 
 2433329 
 2430*150 
 243897 1 
 M4I792 
 24440" 13 
 2447433 
 2450254 
 2453074 
 2455894 
 2458713 
 2461533 
 
 Dif. 
 
 17 
 
 18 
 
 19 
 
 20 
 
 21 
 
 22 
 
 23 
 
 24 
 
 25 
 
 26 
 
 '27 
 
 28 
 
 29 
 
 30 
 
 31 
 
 32 
 
 33 
 
 34 
 
 35 
 
 36 
 
 3 
 
 31 
 
 39 
 
 40 
 
 41 
 
 42 
 
 43 
 
 44 
 
 45 
 
 46 
 
 47 
 
 48 
 
 49 
 
 50 
 
 51 
 
 24S43J 
 
 246717 
 
 2469990 
 
 2472809 
 
 2475627 
 
 2478445 
 
 2481263 
 
 2484081 
 
 2486899 
 
 2489716 
 
 2492533 
 
 2495350 
 
 2498167 
 
 2500984 
 
 2503800 
 
 2506616 
 
 2509432 
 
 2512248 
 
 2516063 
 
 2517879 
 
 2520694 
 
 2523508 
 2526323 
 2529137 
 2531952 
 2534766 
 2537579 
 2540393 
 2643206 
 2546019 
 2548832 
 2551645 
 
 2822 
 
 2822 
 
 2822 
 
 2822 
 
 2822 
 
 2821 
 
 2821 
 
 2821 
 
 2821 
 
 2820 
 
 2821 
 
 2820 
 
 2820 
 
 2819 
 
 2820 
 
 2819 
 
 2819 
 
 2819 
 
 2819 
 
 2818 
 
 2818 
 
 2818 
 
 2818 
 
 2818 
 
 2817 
 
 281/ 
 
 2817 
 
 2817 
 
 2817 
 
 2816 
 
 2816 
 
 2816 
 
 2816 
 
 2815 
 
 2816 
 
 2815 
 
 2814 
 
 2815 
 
 2814 
 
 2815 
 
 2814 
 
 2313 
 
 2814 
 
 2813 
 
 2813 
 
 2813 
 
 2813 
 
 Covers! Cosec. 
 
 758078 li4-1335655 
 
 7577959 4-1287487 
 7575137 4-1239435 
 
 2554458 ^,«;^ 
 
 2557270 
 2560082 
 2562894 
 52J2665705 
 
 53 2568517 
 
 54 2571328 
 552574139 
 562576950 
 572579760 
 582582570 
 
 59 25«5381 
 
 60 2588190 
 
 ' jCosineJDif. 
 
 2812 
 2812 
 2811 
 2812 
 2811 
 2811 
 2811 
 2810 
 2810 
 2811 
 2809 
 
 7572315 
 
 7569493 
 
 7566671 
 
 7563850 
 
 7561029 
 
 7558208 
 
 7555387 
 
 7552567 
 
 7549746 
 
 7546926 
 
 7544106 
 
 7541287 
 
 7538467 
 
 7535648 
 
 7532829 
 
 7530010 
 
 7527191 
 
 7524378 
 
 7521555 
 
 7518737 
 
 7515919 
 
 7513101 
 
 7510284 
 
 7507467 
 
 7504660 
 
 7501833 
 
 7499016 
 
 7496200 
 
 7493384 
 
 7490668 
 
 7487752 
 
 7484937 
 
 7482121 
 
 7479306 
 
 7476492 
 
 7473677 
 
 7470863 
 
 7468048 
 
 7465234 
 
 7462421 
 
 7459607 
 
 7456794 
 
 745398 
 
 7451168 
 
 7448355 
 
 7445542 
 
 7442730 
 
 7439918 
 
 7437106 
 
 7434295 
 
 7431483 
 
 7428672 
 
 7425861 
 
 7423050 
 
 7420240 
 
 7417430 
 
 7414619 
 
 4-1191498 
 4-1143675 
 4-1095967 
 4-1048374 
 
 4 1000893 
 
 4-0953526 
 
 4-0906272 
 
 4-0859130 
 
 4-0812100 
 
 4-0765181 
 
 4-0718374 
 
 4-0671677 
 
 4-0625091 
 
 4-0578615 
 
 4-05322^ 
 
 4-0485992 
 
 4-0439844 
 
 4-0393804 
 
 4-0347872 
 
 4-0302048 
 
 4-0256332 
 
 4-0210722 
 
 4-0165219 
 4-0119823 
 4-0074532 
 4-0029347 
 3-9984267 
 3-9939292 
 
 3-9894421 
 3-9849654 
 3-9804991 
 3-9760431 
 3-9715976 
 3-9671621 
 
 3-9627369 
 3-9583219 
 3-9539171 
 3-9495224 
 3-9451379 
 3-9407633 
 3-9363988 
 3-9320443 
 3-9276907 
 3-9233651 
 3-9190403 
 3-9147254 
 3-9104203 
 3-9061250 
 3-9018395 
 3-8975637 
 3-893297G 
 3-889041 1 
 
 3-8847943 
 3-8805570 
 3-8763293 
 3-8721112 
 3-8679025 
 
 Tang. 
 
 7411810 3-8637033 
 
 Vers. Secant 
 
 2493280 
 2496370 
 2499460 
 2502551 
 2506642 
 2508734 
 2611826 
 2514919 
 2518012 
 2621106 
 2524200 
 2527294 
 2530389 
 2533484 
 2536580 
 2539676 
 2542773 
 2546870 
 2648968 
 2562066 
 2555165 
 2558264 
 2661363 
 2564463 
 2567564 
 2570664 
 2573766 
 2576868 
 2579970 
 2683073 
 2586176 
 2589280 
 2592384 
 2595488 
 2598593 
 2601699 
 2604806 
 2607911 
 2611018 
 2614126 
 2617234 
 2620342 
 2623451 
 2626560 
 2629670 
 2632780 
 2635891 
 639002 
 2642114 
 2645226 
 2648339 
 2651452 
 654566 
 2657680 
 2660794 
 2663909 
 2667025 
 2670141 
 2673257 
 2676374 
 2679492 
 
 Cotang. 
 
 4-0107809 
 4-0058166 
 4-0008636 
 3-9959223 
 3-9909924 
 3-9860739 
 3-9811669 
 3-9762712 
 3-9713868 
 3-9665137 
 3-9616518 
 3-9568011 
 3-9519615 
 3-9471331 
 3-9423157 
 9376094 
 3-9327141 
 3-9279297 
 3-9231563 
 
 3-9183937 
 3-9136420 
 3-9089011 
 3-9041710 
 ^-8994516 
 
 Secant 
 
 1-0306136 
 1-0306884 
 1-0307633 
 1-0308383 
 1-0309134 
 1-0309886 
 1-0310639 
 
 1-0311393 
 1-0312147 
 1-0312903 
 1-0313660 
 1-0314418 
 1-0315177 
 1-0315936 
 1-0316697 
 i -03 17469 
 1-0318222 
 1-0318985 
 1-0319760 
 
 1-0320516 
 1-0321282 
 1-0322060 
 1-0322818 
 
 1-0323588 
 
 3-8947429 1-0324359 
 
 Cotan. 
 
 i-8900448 
 
 3-8853574 
 
 3-8806805. 
 
 3-8760142 
 
 3-8713584 
 
 3-8667131 
 
 3-8620782 
 
 3-8574537 
 
 3-8528396 
 
 3-8482368 
 
 3-8436424 
 
 3-8390591 
 
 3-8344861 
 
 3-8299233 
 
 3-8253707 
 
 3-8208281 
 
 3-8162957 
 
 3-8117733 
 
 3-8072609 
 
 3-8027585 
 
 3-7982661 
 
 3-7937835 
 
 3-7893109 
 
 3-7848481 
 
 3-78G3951 
 
 3-7759519 
 
 3-771518 
 
 3-7670947 
 
 3-7626807 
 
 3-7582763 
 
 3-7538815 
 3-7494963 
 3-7451207 
 3-7407546 
 3-7363980 
 3-7320508 
 
 i -0325 130 
 1-0325903 
 1-0326676 
 1-0327451 
 1-0328227 
 1-0329003 
 1-0329781 
 1-0330559 
 1-0331339 
 1-0332119 
 1-0332901 
 1-0333683 
 
 1-0334467 
 1-0335251 
 1-0336037 
 1 -0336823 
 1-0337611 
 1-0338399 
 
 1-0339188 
 1-0339979 
 1-0340770 
 1-0341563 
 0342356 
 1-0343151 
 
 Vers. 
 
 0297043 
 
 0297747 
 
 0298452 
 
 0299158 
 
 0299864 
 
 0300672 
 
 0301280 
 
 03019&9 
 
 0302699 
 
 0303409 
 
 030412 
 
 0304833 
 
 0305547 
 
 0306260 
 
 0306975 
 
 0307691 
 
 0^08407 
 
 0309125 
 
 0309843 
 
 0310562 
 
 0311281 
 
 0312002 
 
 0312723 
 
 0313445 
 
 0314168 
 
 0314892 
 
 0315617 
 
 0316342 
 
 0317069 
 
 0317796 
 
 0318524 
 
 0319252 
 
 0319982 
 
 0320712 
 
 0321443 
 
 0322175 
 
 0322908 
 
 0323642 
 
 0324376 
 
 0325112 
 
 0325848 
 
 0326585 
 
 0327322 
 
 0328061 
 
 0328800 
 
 0329541 
 
 0330282 
 
 0331023 
 
 0331766 
 
 D. 
 
 1-0343946103325 10 
 1 -034474310333254 
 1 -034554010333999 
 1-0346338 '0334745 
 1-0347 1 38|0335492 
 1 -034793810336239 
 1 -034874010336988 
 l-0349542,'0337737 
 I-0350346j0338487 
 1-035115010339238 
 1-0351955 0339989 
 0352762 0340742 
 
 704 
 
 705 
 706 
 706 
 708 
 708 
 709 
 710 
 710 
 712 
 712 
 714 
 713 
 716 
 716 
 716 
 718 
 718 
 719 
 
 719 
 
 721 
 721 
 722 
 723 
 724 
 725 
 725 
 727 
 727 
 728 
 728 
 730 
 730 
 731 
 732 
 733 
 734 
 734 
 736 
 736 
 737 
 737 
 739 
 
 739 
 741 
 
 741 
 
 Cosine 
 
 9702957 
 9702263 
 9701548 
 9700842 
 9700136 
 9699428 
 9698720 
 9698011 
 9697301 
 9696591 
 9695879 
 9695167 
 9694453 
 9693740 
 9693025 
 9692309 
 9691593 
 9690875 
 9690167 
 9689438 
 9688719 
 9687998 
 9687277 
 9686555 
 9685832 
 9685108 
 9684383 
 9683658 
 96'6293\ 
 9682204 31 
 9681476130 
 29 
 
 743!: 
 744 
 
 744 
 
 745 
 746 
 747 
 747 
 749 
 749 
 
 75oi: 
 
 751 
 76! 
 
 7h3 
 
 lang. I Cosec. jCovers 
 
 9680748 
 9680018 
 96792SH 
 9678557 
 9677825 
 9677092 
 9676358 
 9676624 
 9674888 
 9674152 
 9673416 
 9672678 
 9671939 
 9671200 
 9670459 
 9669718 
 966S977 
 9668234 
 
 9667490 
 9666746 
 9666001 
 9665266 
 9664508 
 9663761 
 9663012 
 9662263 
 9661513 
 96G0762 
 9660011 
 9659258 
 
 D.\ 8ine 
 
 Deff. 75. 
 
14 Deg. 
 
 LOG. SINES, See. 
 
 Secant D. Cosi 
 
 (2; 
 
 Sine 
 
 Dif. 
 
 Cosec. 
 
 Verseds. 
 
 Tang. 
 
 Dif. 
 
 Cotang. 
 
 Covers. 
 
 3sint 
 
 9-383b752 
 3841815 
 3846873 
 9-3851924 
 9-385696"9 
 9-386'2008 
 9-3867040 
 9-3872067 
 9-3877087 
 9-3882101 
 3887109 
 9-3892111 
 9-3897106 
 9-3902096 
 9-3907079 
 9-3912057 
 9-3917028 
 9-3921993 
 9-3926952 
 9-3931905 
 9-3936852 
 9-3941794 
 9-3946729 
 9-3951658 
 9-3956581 
 9-3961499 
 9-3966410 
 9-3971315 
 9-3976215 
 9-3981109 
 9-3985996 
 9-3990878 
 9-3995754 
 9-4000625 
 9-4005489 
 9-4010348 
 9-4015201 
 
 -4020048 
 9-4024889 
 9-4029724 
 9-4034554 
 9-4039378 
 9-4044196 
 9-4049009 
 9-4053816 
 9-4058617 
 9-4063413 
 9-4068203 
 9-4072987 
 9-4077766 
 9-4082539 
 
 4087306 
 9-4092068 
 9-4096824 
 9-4101575 
 9-4106320 
 9-4111059 
 9-4115793 
 
 4120522 
 9-4125245 
 
 4129962 
 
 5063 
 5058 
 5051 
 5045 
 5039 
 5032 
 5027 
 5020 
 5014 
 5008 
 5002 
 4995 
 4990 
 4983 
 4978 
 4971 
 4965 
 4959 
 4953 
 4947 
 4942 
 4935 
 4929 
 4923 
 4918 
 4911 
 4905 
 4900 
 4894 
 4887 
 4882 
 4876 
 4871 
 4864 
 4859 
 4853 
 4847 
 4841 
 4835 
 4830 
 4824 
 4818 
 4813 
 
 4807 
 4801 
 4796 
 4790 
 4784 
 4779 
 4773 
 4767 
 4762 
 4756 
 4751 
 4745 
 4739 
 4734 
 4729 
 4723 
 4717 
 
 10-6163248 
 
 10-6158185 
 
 10-6153127 
 
 10-6148076 
 
 10-6143031 
 
 10-6137992 
 
 10-6132960 
 
 10-6127933 
 
 10-6122913 
 
 10-6117899 
 
 10-6112891 
 
 10-6107889 
 
 10-6102894 
 
 10-6097904 
 
 10-6092921 
 
 10-6087943 
 
 10-6082972 
 
 10-6078007 
 
 10-6073048 
 
 10-6068095 
 
 10-6063148 
 
 10-6058206 
 
 10-6053271 
 
 10-6048342 
 
 10-6043419 
 
 10-6038501 
 
 10-6033590 
 
 10-6028685 
 
 10-6023785 
 
 10-6018891 
 
 10-6014004 
 
 10-6009122 
 
 10-6004246 
 
 10-5999375 
 
 10-5994511 
 
 10-5989652 
 
 10-5984799 
 
 10-5979952 
 
 10-5975111 
 
 10-5970276 
 
 10-5965446 
 
 10-5960622 
 
 10-5955804 
 
 10-5950991 
 
 10-6946184 
 
 10-5941383 
 
 10-5936587 
 
 10-5931797 
 
 10-5927013 
 
 10-5922234 
 
 10-5917461 
 
 10-5912694 
 
 10-5907932 
 
 10-5903176 
 
 10-5898425 
 
 10-5893680 
 
 10-5888941 
 
 10-5884207 
 
 10-5879478 
 
 10-5874755 
 
 10-5870038 
 
 8-4728189 
 
 8-4738472 
 
 8-4748742 
 
 8-4759000 
 
 8-4769246 
 
 8-4779480 
 
 8-4789701 
 
 8-4799910 
 
 8-4810107 
 
 8-4820291 
 
 8-4830464 
 
 8-484062 
 
 8-4850773 
 
 8-4860910 
 
 8-4871034 
 
 8-4881147 
 
 8-4891247 
 
 8-4901336 
 
 8-4911412 
 
 3-4921477 
 
 4931530 
 8-4941572 
 8-4951601 
 
 4961619 
 8-4971625 
 
 8-4981619 
 8-4991602 
 
 5001573 
 8-5011532 
 8-5021480 
 8-5031416 
 8-5041341 
 8-5051254 
 
 5061156 
 
 9-3967711 
 9-3973089 
 9-3978463 
 9-3983830 
 9-3989191 
 9-3994547 
 9-3999S96 
 
 9-4005240 
 9-4010578 
 9-4015910 
 9-4021237 
 9-4026558 
 4031873 
 4037182 
 9-4042486 
 9-4047784 
 9-4053076 
 9-4058363 
 9-4063644 
 9-4068919 
 9-4074189 
 9-4079453 
 9-4084712 
 9-4089965 
 9-4095212 
 9-4100454 
 9-4106690 
 9-4110921 
 9-4116146 
 9-4121366 
 9-4126581 
 9-4131789 
 9-4136993 
 9-4142191 
 
 8-507l046!9-4147383 
 6080925 9-4162570 
 
 8-5090792 
 
 8-5100648 
 
 8-5110493 
 
 •5120326 
 
 -5130148 
 
 8-5139959 
 
 514975 
 
 5159546 
 8-5169324 
 5179089 
 5188844 
 5198588 
 8-5208320 
 8-5218042 
 8-6227752 
 8-5237451 
 8-5247140 
 8-5256817 
 8-5266484 
 8-5276139 
 8-5285784 
 8-5295417 
 8-5305040 
 8-5314652 
 8-5324253 
 
 9-4157752 
 
 9-4162928 
 
 9-4168099 
 
 9-417326 
 
 9-4178425 
 
 9-4183580 
 
 9-4188729 
 
 9-4193874 
 
 9-4199013 
 
 9-4204146 
 
 9-420927." 
 
 9-4214398 
 
 9-4219516 
 
 9-4224628 
 9-4229735 
 9-4234838 
 9-4239935 
 9-4245026 
 9-4250113 
 9-4255194 
 9-426027 1 
 9-4265342 
 9-4270408 
 9-4275469 
 9-4280525 
 
 5378 
 5374 
 5367 
 5361 
 5356 
 5349 
 5344 
 
 5338 
 5332 
 5327 
 5321 
 5315 
 5309 
 5304 
 5298 
 5292 
 5287 
 5281 
 5275 
 5270 
 5264 
 5259 
 6253 
 5247 
 5242 
 
 5236 
 
 5231 
 
 5225 
 
 5220 
 
 5215 
 
 5208 
 
 5204 
 
 5198 
 
 5192 
 
 5187 
 
 5182 
 
 5176 
 
 5171 
 
 5166 
 
 5160 
 
 515 
 
 5149 
 
 5145 
 
 5139 
 
 5133 
 
 5129 
 
 5123 
 
 5117 
 
 5113 
 
 5107 
 
 5103 
 
 5097 
 
 5091 
 
 5087 
 
 5081 
 
 5077 
 5071 
 5066 
 5061 
 5051)' 
 
 10-6032289 
 10-6026911 
 10-6021537 
 10-6016170 
 10-6010809 
 10-6005453 
 10-6000104 
 10-5994760 
 10-6989422 
 10-5984090 
 10-5978763 
 10-5973442 
 10-5968127 
 10-5962818 
 10-6957514 
 10-5952216 
 10-5946924 
 10-5941637 
 10-5936366 
 10-5931081 
 10-5925811 
 10-6920547 
 10-5915288 
 10-5910035 
 10-5904788 
 10-6899546 
 10-5894310 
 10-5889079 
 10-5883854 
 10-5878634 
 
 10-5873419 9-8748412 
 
 10-5868211 
 10-5863007 
 10-5857809 
 10-5852617 
 10-5847430 
 10-5842248 
 lG-5837072 
 10-5831901 
 10-5826735 
 10-6821575 
 10-5816420 
 10-5811271 
 10-5806126 
 10-5800987 
 10-5795854 
 10-5790725 
 10-5785602 
 10-5780485 
 10-5775372 
 10-5770265 
 10-5765162 
 10-5760065 
 10-5754974 
 10-5749887 
 10-5744806 
 10-5739729 
 10-5734658 
 10-5729592 
 10-5724531 
 10-5719475 
 
 9-8797140 
 9-8795522 
 9-8793905 
 9-8792286 
 9-8790668 
 9-8789049 
 9-8787429 
 9-8785809 
 9-8784188 
 9-8782567 
 9-8780946 
 9-8779324 
 9.8777701 
 
 9-8776078 
 9-8774454 
 9-8772830 
 9-8771206 
 9-8769581 
 9-8767955 
 
 9-8766329 
 9-8764703 
 9-8763076 
 9-8761449 
 9-8759821 
 9-8758192 
 9-8756563 
 9-8754934 
 9-8753304 
 9-8751674 
 9-8750043 
 
 9-8746780 
 9-8745147 
 9-8743515 
 9-8741881 
 9-8740248 
 9-8738613 
 
 9-8736978 
 9-8735343 
 9-8733707 
 9-8732071 
 9-8730434 
 9-8728797 
 9-8727159 
 9-8725521 
 9-8723883 
 9-8722243 
 9-8720604 
 9-8718963 
 8717323 
 9-8716682 
 9-8714040 
 9-8712398 
 9-8710765 
 9-8709112 
 9-8707468 
 9-8706824 
 9-8704179 
 9-8702534 
 9-8700889 
 9-8699243 
 
 10-0130959 
 
 10-0131274 
 
 10-0131590 
 
 10-0131906 
 
 10-0132222 
 
 10-0132539 
 
 10-0132856 
 
 10-0133173 
 
 10-0133491 
 
 10-0133809 
 
 10-0134128 
 
 10-0134447 
 
 10-0134767 
 
 10-0135087 
 
 10-0135407 
 
 10-0135727 
 
 10-0136048 
 
 10-0136370 
 
 10-0136692 
 
 10-01370 
 
 10-0137337 
 
 10-0137660 
 
 10-0137983 
 
 10-0138307 
 
 10-0138631 
 
 10-0138f)o5 
 
 10-013.9280 
 
 10-0139606 
 
 10-0130931 
 
 10-0140258 
 
 10-0140584 
 
 10-0140911 
 
 10-0141238 
 
 10-0141566 
 
 10-0141894 
 
 10-0142223 
 
 10-0142551 
 
 10-0142881 
 
 10-0143210 
 
 10-0143540 
 
 10-0143871 
 
 10-0144202 
 
 10-0144533 
 
 10-0144865 
 
 10-0146197 
 
 10-0145529 
 
 10-0145862 
 
 10-0146195 
 
 10-0146529 
 
 10-0146862 
 
 10-0147197 
 
 10-0147532 
 
 10-0147867 
 
 10-0148202 
 
 10-0148538 
 
 10-0148875 
 
 10-0149211 
 
 10-0149548 
 
 10-0149886 
 
 10-0150224 
 
 10-0150662 
 
 315 
 
 316 
 316 
 316 
 317 
 317 
 317 
 318 
 318 
 319 
 319 
 320 
 320 
 320 
 320 
 321 
 322 
 322 
 322 
 
 323 
 323 
 323 
 324 
 324 
 324 
 
 325 
 326 
 325 
 327 
 326 
 327 
 327 
 328 
 328 
 329 
 328 
 330 
 329 
 330 
 331 
 331 
 331 
 332 
 332 
 332 
 333 
 333 
 ;ool-'^34 
 333 
 335 
 335 
 335 
 335 
 336 
 337 
 336 
 337 
 338 
 338 
 338 
 
 9-986904 
 9-98687:. 
 9-986841 
 9-98680S 
 9-986777 
 9-986746 
 9-986714 
 9-98668!^ 
 9-98665{: 
 9-9866 IS 
 9-986687 
 9-986555 
 9-986523 
 9-986491 
 9-986459 
 9-986427 
 9-986395 
 9-986363 
 9-986330 
 9-986298 
 9-986266 
 9-986234 
 9-986201 
 9-986169 
 9-986136 
 9-986104 
 9-986072 
 9-986039 
 9-986006 
 9-985974 
 9-985941 
 9-985908 
 986876 
 9-985843 
 9-985810 
 9-985777 
 9-985744 
 
 9-986711 
 9-985679 
 9-985646 
 9-985612 
 9-985579 
 9-985546 
 386513 
 9-985480 
 9-986447 
 9-985413 
 9-985380 
 9-985347 
 9-985313 
 9-985280: 
 9-985246; 
 9-985213; 
 9-985173) 
 9-985146: 
 
 9-985112, 
 9-985078; 
 9-985045; 
 9-985(711' 
 9-9849771 
 9-9849431 
 
 Cosine Dif. 
 
 Secant 
 
 Covers.) Cotang.tJJif. 
 
 'lang. 
 
 erse 
 
 ds. 
 
 Cosec. 
 
 D. 
 
 Sine 
 
 n. 
 
(^78) 15 Peg. NATrilAL STNES, SiC. 
 
 Tab. 10. 
 
 ' Sine Dif. Covers Cosec. Tang. Cotang. Secant Vers. |D. Cosine ' 
 
 '^588190 
 2591000 
 2593810 
 2596619 
 2599428 
 260223" 
 2605045 
 2607853 
 2610662 
 2613469 
 2616277 
 26190B6 
 2621892 
 
 2624699 
 2627506 
 2630312 
 2633118 
 2635925 
 2638730 
 2641536 
 2644342 
 2647147 
 2649952 
 2652757 
 2655561 
 
 2658366 
 2661170 
 2663973 
 •2666777 
 2669581 
 
 30 2672384 
 
 2675187 
 2677989 
 2680792 
 2683594 
 2686396 
 2689198 
 2692000 
 2694801 
 2697602 
 2700403 
 2703204 
 2706004 
 2708805 
 2711605 
 2714404 
 2717204 
 2720003 
 2722802 
 2725601 
 2728400 
 2731198 
 2733997 
 2736794 
 2739592 
 2742390 
 2745187 
 2747984 
 2750781 
 2753577 
 2756374 
 
 Cosi 
 
 ne 
 
 2810 
 2810 
 2809 
 2809 
 2809 
 2808 
 2808 
 2809 
 2807 
 2808 
 2808 
 2807 
 2807 
 2807 
 2806 
 2806 
 2807 
 2805 
 2806 
 2806 
 2805 
 2805 
 2805 
 2804 
 2805 
 2804 
 2803 
 2804 
 2804 
 2803 
 2803 
 2802 
 2803 
 2802 
 2802 
 2802 
 2802 
 2801 
 2801 
 2801 
 2801 
 2800 
 2801 
 2800 
 2799 
 2800 
 2799 
 2799 
 2799 
 
 2799 
 2798 
 2799 
 97 
 2798 
 2798 
 2797 
 2797 
 2797 
 
 74II8I0 
 7409000 
 7406190 
 7403381 
 7400572 
 7397763 
 7394955 
 7392147 
 7389338 
 7386531 
 7383723 
 7380915 
 7378108 
 7375301 
 7372494 
 7369688 
 7366882 
 7364075 
 361270 
 7358464 
 7355658 
 7352853 
 7350048 
 7347243 
 7344439 
 
 7341634 
 7338830 
 7336027 
 7333223 
 7330419 
 7327616 
 7324813 
 7322011 
 7319208 
 7316406 
 7313604 
 7310802 
 7308000 
 7305199 
 7302398 
 7299597 
 7296796 
 7293996 
 7291195 
 7288395 
 7285596 
 7282796 
 7-279997 
 7277198 
 7274399 
 7271600 
 7268802 
 7266003 
 7263206 
 7260408 
 7257610 
 7254813 
 7252016 
 7249219 
 
 2;97r24G423 
 ^'^'7243626 
 
 Dif.l Vers. 
 
 3-8637033 
 3-8595 135 
 3-8553332 
 3-8511622 
 3-8470006 
 3-8428482 
 3-8387052 
 3-8345713 
 3-8304467 
 3-8263313 
 3-8222251 
 3-8181280 
 3-8140399 
 3-8099610 
 3-8058911 
 3-8018301 
 3-7977782 
 3-7937352 
 3-7897011 
 3-7856760 
 3-7816596 
 3-7776522 
 3-7736535 
 3-7696636 
 3-7656824 
 3-7617100 
 3-7577462 
 3-7537911 
 3-7498447 
 3-7459068 
 3-7419775 
 3-7380568 
 3-7341446 
 3-7302409 
 3-7263457 
 3-7224589 
 3-7185805 
 
 37147105 
 37108489 
 3-7069956 
 37031506 
 3-6993139 
 3-6954854 
 3-6916652 
 3-6878632 
 3-6840493 
 3-6802536 
 3-6764660 
 3-6726865 
 3-6689151 
 3-6651518 
 3-6613901 
 3-6576491 
 3-6539097 
 3-6501783 
 3-6464548 
 3-6427392 
 3-6390315 
 3-6353316 
 6316395 
 3-6279553 
 
 2679492 
 2682610 
 2685728 
 2688847 
 2691967 
 2695087 
 2698207 
 2701328 
 2704449 
 2707571 
 2710694 
 2713817 
 2716940 
 2720064 
 2723188 
 2726313 
 2729438 
 2732564 
 2735690 
 
 2738817 
 2741945 
 2745072 
 2748201 
 2751330 
 2754459 
 2757589 
 2760719 
 2763850 
 2766981 
 2770113 
 2773245 
 2776378 
 2779512 
 2782646 
 2785780 
 2788915 
 2792050 
 
 2795186 
 2798322 
 2801459 3' 
 
 2804597 
 2807735 
 2810873 
 2814012 
 2817152 
 2820292 
 2823432 
 2826573 
 2829716 
 2832857 
 2835999 
 2839143 
 2842286 
 2845430 
 2848575 
 2851720 
 2854866 
 2868012 
 2861159 
 2864306 
 2867454 
 
 7320508 
 
 7277131 
 
 7233847 
 
 7190658 
 
 7147561 
 
 7104558 
 
 7061648 
 
 7018830 
 
 •6976104 
 
 ■6933469 
 
 •6890927 
 
 •6848475 
 
 ■6806116 
 
 ■6763845 
 
 •672166 
 
 •6679575 
 
 •6637575 
 
 ■6595665 
 
 •6553844 
 
 ■651211 
 
 •6470467 
 
 ■6428911 
 
 ■6387444 
 
 •6346064 
 
 •6304771 
 
 ■6263566 
 
 ■6222447 
 
 ■6181415 
 
 ■6140469 
 
 ■6099609 
 
 •6058835 
 
 ■6018146 
 ■5977543 
 •5937024 
 •5896590 
 •5856241 
 •5815975 
 ■5775794 
 •5735696 
 ■56966'81 
 •5655749 
 ■5615900 
 ■5576133 
 ■5536449 
 ■5496846 
 ■5457325 
 ■5417886 
 ■5378628 
 ■5339251 
 ■5300054 
 5260938 
 5221902 
 5182946 
 514407U 
 5105273 
 5066555 
 5027916 
 4989356 
 4950874 
 ■4912470 
 4874144 
 
 0362762 
 0353569 
 0354378 
 0355187 
 0355998 
 0356809 
 0357621 
 0358435 
 0359249 
 0360065 
 0360881 
 0361699 
 0362517 
 0363337 
 0364157 
 03649/9 
 0365801 
 0366625 
 0367449 
 0368275 
 0369101 
 0369929 
 0370757 
 0371587 
 0372417 
 0373249 
 0374082 
 0374915 
 0375750 
 0376586 
 0377422 
 0378260 
 0379098 
 0379938 
 0380779 
 0381621 
 0382463 
 
 0383307 
 0384162 
 0384998 
 0385844 
 0386692 
 0387541 
 0388391 
 0389242 
 0390094 
 0390947 
 0391800 
 0392656 
 0393511 
 0394368 
 0395226 
 0396086 
 0396945 
 0397806 
 
 0398669 
 0399632 
 0400396 
 0401261 
 0402127 
 0402994 
 
 0340742] 
 0341495: 
 0342249 
 
 0343004 
 03437601 
 
 753 
 754 
 755 
 
 756 
 
 '.1756 
 
 03445l6l-_^ 
 
 0345274' 
 0346032 
 
 03467911:";^ 
 034765ll£^!! 
 
 0348311 
 0349073 
 0349835 
 
 760 
 762 
 |762 
 1763 
 
 9669268 
 965850r3 
 9667761 
 9666996 
 9656240 
 9655484 
 9654726 
 9663968 
 9653209 
 9662449 
 9651689 
 9650927 
 9650165 
 9649402 
 9648638 
 9647873 
 
 0350598i„^. 
 035I3C2;;J'.": 
 03521271';^^' 
 0352892!;°^|9647I08 
 0353659;;°; 9646341 
 03544261^°^ 9645574 
 
 0356194 
 
 035596-3;^^^ 
 
 0356732j;;; 
 
 0357603 !;1 J 
 
 0358274^'; 
 
 0359046j^^^ 
 
 0360693'^;, 
 0361367|;;^ 
 03621421^^ J 
 03629191^;^ 
 03636951^^^ 
 
 0364473 
 0365252 
 0366031 
 0366811 
 0367592 
 0368374 
 0369167 
 0369940 
 0370725 
 0371510 
 0372296 
 0373083 
 
 779 
 
 779 
 780 
 781 
 782 
 |783 
 783 
 785 
 785 
 786 
 787 
 787 
 0373870 ' 
 0374658l(°J; 
 0375448|;;J 
 03762381^:^ 
 0377028!;;;, 
 
 0377820!:;:^ 
 
 i/93 
 
 037861 3L^., 
 
 0379406: 
 
 03802001 
 0380995| 
 03817901 
 
 0382687 
 0383384 
 0384182] 
 038498 Ij 
 0385781 
 0386582 
 0387383 
 
 794 
 795 
 796 
 797 
 797 
 798 
 799 
 800 
 801 
 801 
 
 9644806 
 9644037 
 9643268 
 9642497 
 9641726 
 9640954 
 9640181 
 9639407 
 9638633 
 9637858 
 9637081 
 9636305 
 9636627 
 9634748 
 9633969 
 9633189 
 9632408 
 9631626 
 9630843 
 9630060 
 9629275 
 9628490 
 9627704 
 9626917 
 9626130 
 9625342 
 9624562 
 9623762 
 9622972 
 9622180 
 
 9621387 
 9620594 
 9619800 
 9619005 
 9618^210 
 9617413 
 9616616 
 9615818 
 9615019 
 9614219 
 9613418 
 9612617 
 
 Secant Cotan. 'I'ang. Cosec. Covers J). Sine 
 
15 De^, 
 
 LOG. STNi:$, &C. 
 
 (2 
 
 Sine Dif. Cosec. 
 
 ■411^9962 
 4134674 
 4139381 
 4144082 
 4148778 
 4153468 
 4158152 
 4162832 
 4167506 
 4172174 
 4176837 
 4181495 
 4186148 
 •4190795 
 •4195436 
 •4200073 
 •4204704 
 •4209330 
 •4213950 
 4218566 
 4223176 
 4227780 
 4232380 
 ■4236974 
 4241563 
 
 ■4246147 
 ■4250726 
 ■4255299 
 ■4259867 
 ■4264430 
 ■4268988 
 ■4273541 
 4278089 
 4282631 
 4287169 
 4291701 
 4296228 
 4300750 
 4305267 
 4309779 
 4314286 
 4318788 
 •4323285 
 
 ■4327777 
 4332264 
 ■4336746 
 4341223 
 ■4345694 
 4350161 
 4354623 
 4359080 
 4363532 
 4367980 
 4372422 
 ■4376859 
 4381292 
 ■4385719 
 ■4390142 
 •4394560 
 •4398973 
 •440338 
 
 4712 
 4707 
 4701 
 4696 
 4690 
 4684 
 4680 
 4674 
 4668 
 4663 
 4658 
 4653 
 4647 
 4641 
 4637 
 4631 
 4626 
 4620 
 4616 
 4610 
 4604 
 4600 
 4594 
 1589 
 4584 
 4579 
 4573 
 4568 
 4563 
 4558 
 4553 
 4548 
 4542 
 4538 
 4532 
 4527 
 4522 
 
 4517 
 4512 
 
 4507 
 4502 
 4497 
 4492 
 4487 
 4482 
 4477 
 4471 
 4467 
 4462 
 
 4457 
 4452 
 4448 
 4442 
 4437 
 4433 
 
 4427 
 4423 
 4418 
 4413 
 4408 
 
 10-5870038 
 10-5865326 
 1 0^58606 19 
 10 5855913 
 I0>5851222 
 10^5846532 
 10-5841848 
 10-5837168 
 10-5832494 
 10-5827826 
 10-5823163 
 10-5818505 
 10-5813852 
 10-5809205 
 10-5804564 
 10^5799927 
 10^5795296 
 10-5790670 
 10-5786050 
 10-5781434 
 10-5776824 
 10^5772220 
 10-5767620 
 10^5763026 
 10^5758437 
 10^5753853 
 10-5749274 
 10-5744701 
 10-5740 133 
 10-5735570 
 10-5731012 
 10-5726459 
 10-5721911 
 10-5717369 
 10-5712831 
 10-5708299 
 10^5703772 
 I0^5699250 
 10^5694733 
 10-5690221 
 10-5685714 
 10^568 121 2 
 10^5676715 
 10-5672223 
 10-5667736 
 10-5663254 
 10^5658777 
 10-5654306 
 10-5649839 
 
 10-5645377 
 10-5640920 
 10^636468 
 10-5632020 
 10-5627578 
 10-5623141 
 10-5618708 
 10-5614281 
 10-5609858 
 10-5605440 
 10-5601027 
 10-5596619 
 
 Verseds. Tang. Dif. Cotans;. Covers. 
 
 5324253 
 8-5333844 
 8-5343423 
 8-5352992 
 
 5362551 
 8-5372098 
 8-5381635 
 8-5391161 
 8-5400677 
 8-5410182 
 8-5419676 
 8-5429160 
 
 5438633 
 8-5448096 
 8-5457548 
 8-5466990 
 -5476422 
 •5485843 
 8-5495253 
 8-5504654 
 8-5514044 
 8-5523423 
 8-5532793 
 8-5542152 
 
 5551500 
 8-5;560839 
 8-5570167 
 8-5579485 
 8-5588793 
 8-5598091 
 8^5607379 
 
 5616656 
 3-5625924 
 8-5635181 
 -5644429 
 8-5653666 
 8-5662894 
 8-5672111 
 
 5681318 
 8-5690516 
 
 5699704 
 8-5708881 
 8-5718049 
 
 5727207 
 8-5736355 
 8^5745494 
 8^5754622 
 8^5763741 
 8-5772850 
 8-5781950 
 8-5791039 
 
 5800119 
 8-5809189 
 
 5818250 
 8-5827301 
 8-5836342 
 8-5845374 
 8-5854396 
 8-5863409 
 8-5872412 
 8-5881406 
 
 •4280525 
 ■4285575 
 •4290621 
 ■4295661 
 ■4300697 
 •4305727 
 ■4310753 
 
 4315773 
 ■4320789 
 •4325799 
 4330804 
 4335805 
 4340800 
 4345791 
 4350776 
 4355757 
 4360733 
 4365704 
 4370670 
 4375631 
 4380587 
 4385538 
 4390485 
 4395426 
 4400363 
 4405295 
 4410222 
 4415145 
 4420062 
 4424975 
 4429883 
 4434786 
 4439685 
 4444579 
 4449468 
 4454352 
 4459232 
 4464107 
 4468978 
 4473843 
 •4478704 
 4483561 
 4488413 
 4493260 
 ■4498102 
 4502940 
 •4507774 
 4512602 
 4517427 
 4522246 
 4527061 
 •4531872 
 •4536678 
 4541479 
 •4546276 
 •4551069 
 •4555857 
 •4560641 
 •4565420 
 •4570194 
 •4574964 
 
 5050 
 5046 
 5040 
 5036 
 5030 
 5026 
 5020 
 5016 
 5010 
 5005 
 5001 
 4995 
 4991 
 4985 
 4981 
 4976 
 4971 
 4966 
 4961 
 4956 
 4951 
 4947 
 4941 
 4937 
 4932 
 
 4927 
 4923 
 4917 
 4913 
 4908 
 4903 
 
 4899 
 4894 
 4889 
 4884 
 4880 
 4875 
 4871 
 4865 
 4861 
 4857 
 4852 
 4847 
 4842 
 4838 
 4834 
 4828 
 4825 
 4819 
 4815 
 4811 
 4806 
 4801 
 4797 
 4793 
 
 4788 
 4784 
 4779 
 4774 
 4770 
 
 I Cosine iDif.l Secant | Covers. iCotang. Dit. Tani;:. Verseds.l Cosec. D, Sine 
 
 10-5719475 
 10-5714425 
 10-5709379 
 10-5704339 
 1 0^5699303 
 10^5694273 
 10^5689247 
 
 10^5684227 
 10-5679211 
 10^5674201 
 1 0^5669 196 
 10^5664195 
 10-5659200 
 10-5654209 
 10-5649224 
 10-5644243 
 10-5639267 
 10^5634296 
 10-5629330 
 
 10-5624369 
 10-5619413 
 10-5614462 
 10-5609515 
 1 0^5604574 
 10-5599637 
 10^5594705 
 10^5589778 
 10^5584855 
 10-5579938 
 10-5575025 
 10-5570117 
 10-5565214 
 10-5560315 
 10^5555421 
 10-5550532 
 10-5545648 
 10-5540768 
 10-5535893 
 10-5531022 
 10-5526157 
 10-5521296 
 10-5516439 
 10-5511587 
 10-5506740 
 10-5501898 
 10-5497060 
 10-5492226 
 10-5487398 
 10-5482573 
 10-5477754 
 10-5472939 
 10-5468128 
 10-5463322 
 10-5458521 
 10-5453724 
 10-5448931 
 10-5444143 
 10-5439359 
 10-5434580 
 10-5429806 
 10-5425036 
 
 9^8699243 
 9^8697596 
 9^8695949 
 9-8694301 
 9 8692653 
 9-8691004 
 9-8689355 
 9-8687706 
 8686056 
 9-8684405 
 9-8682754 
 9^868 1 102 
 9^8679450 
 9-867779S 
 9-8676145 
 9-8674491 
 9-8672837 
 9-8671182 
 9^8669527 
 9^8667872 
 9^86662 1 6 
 9-8664559 
 9^8662902 
 9-8661244 
 9^8659586 
 
 •8657928 
 •8656269 
 ■8654609 
 •8652949 
 •8651288 
 ■8649627 
 ■S647966 
 ■8646303 
 ■8644641 
 ■8642978 
 •8641314 
 •8639650 
 
 9-8637985 
 9-8636320 
 9-8634655 
 9^8632989 
 9^8631322 
 9^8629655 
 
 9^8627987 
 9^8626319 
 9-8624651 
 9-8622981 
 9-8621312 
 9-8619642 
 9^8617971 
 9-8616300 
 9-8614628 
 9-8612956 
 9-8611283 
 9-8609610 
 9-8607936 
 8606262 
 9-8604588 
 9-8602912 
 9-8601237 
 9-8599560 
 
 Secant D. Cosine 
 
 10-0150562 
 
 10-0150901 
 
 10^0151240 
 
 10^01 5 1580 
 
 10015191 
 
 10-0152260 
 
 10-0152600 
 
 10-0152941 
 
 10-0153283 
 
 10^0153625 
 
 10^01 53967 
 
 10^0 1543 10 
 
 10^0154653 
 
 10^0154996 
 
 10^0155340 
 
 10^0155684 
 
 10^01 56029 
 
 10-0156374 
 
 10-0156719 
 
 10-0157065 
 
 10-0157411 
 
 10-0157758 
 
 1 0^0158105 
 
 10^01 58452 
 
 10^0158800 
 
 1 0^0159148 
 10-0159497 
 10-0159846 
 10-0160195 
 10-0160545 
 10-0160895 
 10-0161245 
 10-0161596 
 10-0161948 
 10-0162299 
 10^0162652 
 10-0163004 
 
 10-0163357 
 10^0163710 
 10-0164064 
 10-0164418 
 10-0164773 
 10-0165128 
 10-0165483 
 10-0165839 
 10-0166195 
 10-0166551 
 10-0166908 
 10-0167265 
 
 10-0167623 
 10-0167981 
 10-0168339 
 10-0168693 
 10-0169058 
 10-0169417 
 10-0169777 
 10-0170138 
 10-0170499 
 10-0170860 
 10-0171222 
 10-0171584 
 
 339 
 339 
 340 
 339 
 341 
 340 
 341 
 342 
 342 
 342 
 343 
 343 
 343 
 344 
 344 
 345 
 345 
 345 
 346 
 346 
 347 
 347 
 347 
 348 
 348 
 349 
 349 
 349 
 350 
 350 
 350 
 351 
 352 
 351 
 353 
 352 
 353 
 353 
 354 
 354 
 355 
 355 
 355 
 356 
 356 
 356 
 357 
 357 
 358 
 358 
 358 
 359 
 360 
 359 
 360 
 361 
 361 
 361 
 362 
 362 
 
 •984943 
 •98490S 
 •984876 
 •98484!^ 
 •984808 
 •984774 
 •98474C 
 •98470S 
 •984671 
 •984637 
 -984603 
 •984569 
 •984534 
 •984500 
 •984466 
 ■984431 
 ■984397 
 ■984362 
 ■984328 
 ■984293 
 •984258 
 •984224 
 ■984189 
 ■984154 
 •984120 
 •984085 
 •984050 
 •984015 
 •983980 
 •983945 
 ■983910 
 ■983875 
 ■983840 
 •983805 
 ■983770 
 •983734 
 ■983699 
 •983664 
 •983629 
 •983593 
 •983558 
 •983522 
 •983487 
 •983451 
 •983416 
 ■983380 
 •983344 
 ■983309 
 ■983273 
 
 ■983237 
 •983201 
 •983166 
 •983130 
 983094 
 ■983058 
 •983022 
 •982986 
 ■982950 
 ■982914 
 ■982877 
 ■982841 
 
 T^. 
 
(280) 16 Peg. NATURAL SINES, &C. 
 
 Tab. 10. 
 
 Sine 
 
 ■275G374 
 •275!) 1 70 
 >70'I{)65 
 276476*1 
 2767556 
 ■2770352 
 '2773147 
 2775941 
 27787;56- 
 27815,30 
 '27«43'21 
 27871 IH 
 27899 1 1 
 
 279'2704 
 2795497 
 27.98290 
 2801083 
 2803875 
 2806657 
 2809459 
 i8 12251 
 2815042 
 .'817833 
 2320624 
 2823415 
 2826205 
 2828995 
 2831785 
 2834575 
 2837364 
 2840153 
 2842942 
 2845731 
 2848520 
 2851308 
 2854096 
 2856884 
 
 2859671 
 2862458 
 2865246 
 2868032 
 2870819 
 287S605 
 2876391 
 2879177 
 2881963 
 2884748 
 2887533 
 2890318 
 2893103 
 2895887 
 2898671 
 2901455 
 2904239 
 2907022 
 2909805 
 2912588 
 2915371 
 2918153 
 2920935 
 60 2923717 
 
 Cosi 
 
 Dif. Covers 
 
 2796 
 2795 
 2796 
 2795 
 2796 
 2795 
 2794 
 2795 
 2794 
 2794 
 2794 
 2793 
 2793 
 2793 
 2793 
 2793 
 2792 
 2792 
 2792 
 
 2792 
 2791 
 2791 
 2791 
 2791 
 2790 
 2790 
 2790 
 2790 
 2789 
 2789 
 2789 
 
 2789 
 2789 
 2788 
 2788 
 
 7243626 
 7240830 
 7238035 
 7235239 
 7232444 
 7229648 
 7226853 
 
 J-6279553 
 3-6242788 
 J-6206101 
 J-6 169490 
 J-6I32957 
 3-6096501 
 J-6060121 
 
 7224059 
 7221264 
 
 7218470 
 7215676 
 7212882 
 7210089 
 7207296 
 7204503 
 7201710 
 7198917 
 7196125 
 7193333 
 
 7190541 
 7187749 
 7184958 
 7182167 
 7179^76 
 7176585 
 
 7173795 
 7171005 
 7168215 
 7165425 
 7162636 
 7159847 
 7157058 
 7154269 
 7151480 
 7148692 
 ::^p|7 145904 
 2787j7l431l6 
 2yj,-l7 140329 
 ^1°'|7137542 
 g^^ 7 134754 
 2707J7131968 
 o7«fi|7l29181 
 278617126395 
 <,7pJ7 123609 
 .;^^!7120823 
 ;;°^!7 118037 
 070 rJ7 115252 
 27p>|74 12467 
 2785^09682 
 
 27„,i7l06897 
 2784 7104113 
 O7p!i7101329 
 97P4l7098545 
 .■;7fl^'709576l 
 ^^^^7092978 
 7090195 
 7087412 
 7084629 
 7081847 
 7079065 
 7076283 
 
 3-6023818 2889503 
 3-5987590 2892655 
 3-5951439 2895808 
 
 2783 
 2783 
 2782 
 2782 
 2782 
 
 Cosec. 
 
 Tang. 
 
 2867454 
 2870602 
 287375! 
 2876900 
 2880050 
 2883201 
 2886352 
 
 Dif. Vers. 
 
 3-5915363 
 
 3-5879362 
 
 3-5843437 
 
 3-5807586 
 
 3-5771810 
 
 3-5736108 
 
 3-5700481 
 
 3-5664928 
 
 3-5629448 
 
 3-5594042 
 
 3-5558710 
 
 3-5523450 
 
 3-5488263 
 
 3-5453149 
 
 3-5418107 
 
 3-5383138 
 
 3-5348240 
 
 3-5313414 
 
 3-5278660 
 
 3-5243977 
 
 3-5209365 
 
 3-5174824 
 
 3-5140354 
 
 3-5105954 
 
 3-5071625 
 
 3-5037365 
 
 3-5003175 
 
 3-49690 
 
 3-4935004 
 
 3-4901023 
 
 3-4867110 
 
 3-4833267 
 
 3-4799492 
 
 3-4765785 
 
 3-4732146 
 
 3-4698576 
 
 3-4665073 
 
 3-4631637 
 
 3-4598269 
 
 3-4564965 
 
 3-4531735 
 
 3-4498568 
 
 3-4465467 
 
 3-4432433 
 
 3-4399465 
 
 3-4366563 
 
 3-4333727 
 
 3-4300956 
 
 3-4268251 
 
 3-4235611 
 
 3 -420303 6| 
 
 Secant I Cotan 
 
 2898961 
 2902114 
 2905269 
 
 2908423 
 2911578 
 2914734 
 2917890 
 2921047 
 2924205 
 
 2927363 
 2930521 
 2933680 
 2936839 
 2939999 
 2943160 
 2946321 
 2949483 
 2952645 
 2955808 
 2958971 
 2962135 
 2965299 
 2968464 
 2971630 
 2974796 
 2977962 
 2981129 
 2984297 
 2987465 
 2990634 
 2993803 
 2996973 
 3000144 
 3003315 
 3006486 
 3009658 
 3012831 
 3016004 
 3019178 
 3022352 
 3025527 
 3028703 
 3031879 
 3035055 
 3038232 
 3041410 
 3044588 
 3047767 
 3050946 
 3054126 
 305730 
 
 Cotan fi^. 
 
 5-4874144 
 
 i-4835896 
 
 3-4797726 
 
 3-4759632 
 
 3-4721616 
 
 3-4683676 
 
 3-4645813 
 
 3-4608026 
 
 3-4570315 
 
 3-4532679 
 
 3-4495120 
 
 3-4457635 
 
 3-4420226 
 
 3-4382891 
 
 3-4345631 
 
 3-4308446 
 
 3-4271334 
 
 3-4234297 
 
 3-4197333 
 
 3-4160443 
 
 3-4123626 
 
 3-4086882 
 
 3-4050210 
 
 3-4013612 
 
 3-3977085 
 
 3-39406S1 
 
 3-3904249 
 
 3-3867938 
 
 3-3831699 
 
 3-3795531 
 
 3-3759434 
 
 3-3723408 
 
 3-36874 
 
 3-3651568 
 
 3-3615753 
 
 3-3580008 
 
 3-35443.33 
 
 3-3508728 
 
 3-3473191 
 
 3-3437724 
 
 3-3402326 
 
 3-3366997 
 
 3-3331736 
 
 3-3296543 
 
 3-3261419 
 
 3-3226362 
 
 3-3191373 
 
 3-3156452 
 
 3-3121598 
 
 3086811 
 3052091 
 3017433 
 2982851 
 2948330 
 2913876 
 
 2879487 
 2845164 
 2810907 
 ■2776715 
 •2742588 
 ■2708526 
 
 Tang. 
 
 Secant Vers. D. Cosine 
 
 0402994 
 0403863 
 0404732 
 0405602 
 0406473 
 0407346 
 0408219 
 0409094 
 0409969 
 0410845 
 0411723 
 0412601 
 0413481 
 0414362 
 0415243 
 0416126 
 0417009 
 0417894 
 0418780 
 
 0419667 
 0420554 
 0421443 
 0422333 
 0423224 
 0424116 
 ■0425009 
 ■0425903 
 ■0426798 
 ■0427694 
 ■0428591 
 '0429489 
 
 ■0430388 
 ■0431289 
 •0432190 
 ■0433092 
 •0433995 
 •0434900 
 •0435805 
 •0436712 
 -0437619 
 •0438528 
 -0439437 
 •0440348 
 •0441259 
 •0442172 
 •0443086 
 -0444001 
 -0444917 
 -0445833 
 •0446751 
 •0447670 
 -0448590 
 •0449511 
 •0450433 
 0451357 
 0452281 
 0453206 
 0454132 
 0455060 
 ■0455988 
 •0456918 
 
 Cosec. 
 
 0387383 
 0388185 
 0388988 
 0389792 
 0390597 
 0391402 
 0392208 
 0393016 
 0393823 
 0394632 
 0395442 
 0396252 
 0397063 
 0397875 
 0398688 
 0399501 
 0400316 
 0401131 
 0401947 
 0402764 
 0403582 
 0404400 
 0405219 
 0406039 
 0406860 
 0407682 
 0408504 
 0409328 
 0410152 
 0410977 
 0411803 
 0412629 
 0413457 
 0414285 
 0415114 
 0415944 
 0416774 
 0417606 
 0418438 
 0419271 
 0420105 
 0420940 
 0421775 
 0422611 
 0423448 
 0424286 
 0425125 
 0425965 
 0426805 
 0427646 
 0428488 
 0429331 
 0430175 
 0431019 
 0431864 
 0432710 
 0433557 
 0434405 
 0435253 
 0436102 
 0436952 
 
 802 
 803 
 804 
 805 
 805 
 806 
 808 
 807 
 809 
 810 
 810 
 811 
 812 
 813 
 813 
 815 
 15 
 816 
 817 
 818 
 818 
 819 
 820 
 821 
 822 
 822 
 824 
 824 
 825 
 826 
 826 
 828 
 828 
 829 
 830 
 830 
 832 
 832 
 833 
 834 
 835 
 835 
 836 
 
 837 
 838 
 839 
 840 
 840 
 841 
 842 
 843 
 844 
 844 
 845 
 846 
 
 847 
 848 
 848 
 849 
 
 9612617 
 9611815 
 9611012 
 9610208 
 9609403 
 9608598 
 9607792 
 
 Covers D. 
 
 9606984 53 
 9606177 
 9605368 
 9604558 
 9603748 
 9602937 
 9602125 
 9601312 
 9600499 
 599584 
 9598869 
 9598053 
 9597236 
 9.596418 
 9595600 
 9594781 
 9593961 
 93140 
 
 9592318 
 9591496 
 9590672 
 9589848 
 9589023 
 9588197 
 9587371 
 9586543 
 9585715 
 
 9584886 26 
 
 9584056 
 9583226 
 9582394 
 9581562 
 9580729 
 9579895 
 9579060 
 9578225 
 9577389 
 9576552 
 9575714 
 9574875 
 9574035 
 9573195 
 9572354 
 9571512 
 9570669 
 9569825 
 9568981 
 9568136 
 9567290 
 566443 
 9565595 
 9564747 
 9563898 
 ^^^ 9563048 
 
 Sine 
 
 Deii. 73. 
 
16 Dcsj. 
 
 LOG. SINES, &C. 
 
 (2 
 
 ' Sine Dif 
 
 9-4403.}Ki 
 9-4407784 
 9-4412182 
 9-4416576 
 9-44^0965 
 9-4425349 
 9-4429728 
 
 9-4434103 
 9-4438472 
 9-4442837 
 9-4447197 
 9-4451553 
 9-4455904 
 9-4460250 
 9-4464591 
 9-4468927 
 9-4473259 
 9-4477586 
 9-4481909 
 
 9-4486227 
 9-4490540 
 9-4494849 
 9-4499153 
 9-4503452 
 9-4507747 
 
 9-4512037 
 9-4516322 
 9-4520603 
 9-4524879 
 9-4529151 
 9-4533418 
 
 9-4537681 
 9-4541939 
 9-4546192 
 9-4550441 
 9-4554686 
 9-4558926 
 9-4563161 
 9-4567392 
 9-4571618 
 9-4575840 
 9-4580058 
 9-4584271 
 9-4588480 
 9-4592684 
 9-4596884 
 9-4601079 
 9-4605270 
 9-4609456 
 
 9-4613638 
 9-4617816 
 9-4621989 
 9-4626158 
 9-4630323 
 9-4634483 
 9-4638639 
 9-4642790 
 4646938 
 9-4651081 
 9-4655219 
 9-4659353 
 
 140 
 
 1398 
 
 4394 
 
 4389 
 
 4384 
 
 4379 
 
 4375 
 
 4369 
 
 4365 
 
 4360 
 
 4356 
 
 4351 
 
 4346 
 
 4341 
 
 4336 
 
 4332 
 
 4327 
 
 4323 
 
 4318 
 
 4313 
 
 4309 
 
 4304 
 
 4299 
 
 429 
 
 4290 
 
 4285 
 
 4281 
 
 4276 
 
 4272 
 
 4267 
 
 4263 
 
 4258 
 
 4253 
 
 4249 
 
 4245 
 
 4240 
 
 4235 
 
 4231 
 
 4226 
 
 4222 
 
 4218 
 
 4213 
 
 4209 
 
 4204 
 
 4200 
 
 4195 
 
 4191 
 
 4186 
 
 4132 
 
 4178 
 
 4173 
 
 4169 
 
 4165 
 
 4160 
 
 4156 
 
 4151 
 4148 
 4143 
 4138 
 4134 
 
 Cosine Dif. 
 
 Cosec. 
 
 10-5596619 
 10-5592216 
 10-5587818 
 10-5583424 
 10-5579035 
 10-5574651 
 10-5570272 
 10-5565897 
 10-5561528 
 10-5557163 
 10-3^52803 
 10-5548447 
 10-5544096 
 
 10-5539750 
 10-5535409 
 10-5531073 
 10-5526741 
 10-5522414 
 10-5518091 
 
 10-5513773 
 
 Versed^ 
 
 10-5509460 
 10-5505151 
 10-5500847 
 10-5496548 
 tO-5492253 
 10-5487963 
 10-5483678 
 10-5479397 
 10-5475121 
 10-5470849 
 10-5466582 
 10-5462319 
 10-5458061 
 10-5453808 
 
 8-5881406 
 8-5890390 
 8-5899365 
 8-5908330 
 8-5917286 
 8-5926233 
 8-5935170 
 8-5944097 
 8-5953016 
 8^B96192." 
 8-5970824 
 8-5979715 
 8-5988596 
 8-5997468 
 8-6006330 
 8-6015184 
 8-6024028 
 8-6032863 
 8-6041689 
 8-6050506 
 8-6059313 
 8-6068112 
 8-6076901 
 8-6085681 
 8-6094453 
 
 8-6103215 
 8-6111968 
 8-6120712 
 8-6129448 
 8-6138174 
 8-6146891 
 8-6155600 
 8-6164299 
 §•6172990 
 10-5449559:8-6181672 
 1-9-5445314 8-6190345 
 10-5441074 8-6199009 
 
 10-5436839 8-6207664 
 10-5432608 8-6216311 
 10-5428382 8-6224948 
 10-5424160 8-6233577 
 
 Taog. 
 
 10-5419942 
 10-5415729 
 
 10-5411520 
 10-5407316 
 10-5403116 
 10-5398921 
 10-5394730 
 10-5390544 
 
 10-5386362 
 10'5!i82184 
 10-5378011 
 10-5373842 
 10-5369677 
 10-5365517 
 10-5361361 
 10-5357210 
 10-5353062 
 10-5348919 
 10-5344781 
 10-5340647 
 
 8-6242197 
 
 8-6250809 
 
 8-6259412 
 
 8-6268006 
 
 8-6276591 
 
 8-6285168 
 
 8-6293736 
 
 8-6302295 
 
 8-6310846 
 
 6319388 
 
 8-6327922 
 
 6336447 
 
 6344964 
 
 6353472 
 
 8-6361971 
 8-6370462 
 8-6378945 
 8-6387419 
 8-6395884 
 8-6404342 
 
 Secant i Covers. 
 
 9-4574964 
 
 9-4579730 
 
 9-458449 1 
 
 9-4589248 
 
 9-459400 
 
 9-4598749 
 
 9-4603492 
 
 9-4608232 
 9-4612967 
 9-4617697 
 9-4622423 
 9-4627145 
 9-4631863 
 9-4636576 
 9-4641285 
 9-4645990 
 9-4650690 
 9-4655386 
 9-4660078 
 9-4664765 
 9-4669448 
 9-4674127 
 9-4678802 
 9-4683473 
 9-4688139 
 
 9-4692801 
 9-4697459 
 9-4702112 
 9-4706762 
 9-4711407 
 9-4716048 
 9-4720685 
 9-4725318 
 9-4729947 
 9-4734572 
 9-4739192 
 9-4743808 
 9-4748421 
 9-4753029 
 9-4757633 
 9-4762233 
 9-4766829 
 9-4771421 
 9-4776009 
 9-4780592 
 9-4785172 
 
 4789748 
 9-4794319 
 9-4798887 
 9-4803451 
 9-4808011 
 
 4812566 
 
 4817118 
 9-4821666 
 9-4826210 
 9-4830750 
 9-4835286 
 9-4839818 
 9-4844346 
 9-4848870 
 
 4853390 
 
 !)if.| Cotang, 
 
 Cotunjj". 
 
 4766 
 
 4761 
 
 4757 
 
 4753 
 
 4748 
 
 4743 
 
 4740 
 
 4735 
 
 4730 
 
 4726 
 
 4722 
 
 47 18 
 
 4713 
 
 4709 
 
 4705 
 
 4700 
 
 4696 
 
 4692 
 
 i687 
 
 4683 
 
 4679 
 
 4675 
 
 4671 
 
 4666 
 
 4662 
 
 4658 
 4653 
 4650 
 4645 
 4641 
 4637 
 4633 
 4629 
 4625 
 4620 
 4616 
 4613 
 4608 
 4604 
 4600 
 4596 
 4592 
 4588 
 4583 
 4580 
 4576 
 4571 
 4568 
 4564 
 4560 
 4555 
 4552 
 4548 
 4544 
 4540 
 4536 
 4532 
 4528 
 4524 
 4520 
 
 Dif. 
 
 10-5425036 
 
 10-5420270 
 
 10-5415509 
 
 10-5410752 
 
 10-5405999 
 
 10-54012 
 
 10-5396508 
 
 10-5391768 
 
 10-5387033 
 
 10-5382303 
 
 10-5377577 
 
 10-5372855 
 
 10-5368137 
 
 10-5363424 
 
 10-5358715 
 
 10-5354010 
 
 10-5349310 
 
 10-5344614 
 
 10-5339922 
 
 10-5335235 
 
 10-5330552 
 
 10-5325873 
 
 10-5321198 
 
 10-5316527 
 
 10-5311861 
 
 10-5307199 
 
 10-5302541 
 
 10-5297888 
 
 10-5293238 
 
 10-5288593 
 
 10-5283952 
 
 10-5279315 
 
 10-5274682 
 
 10-5270053 
 
 10-5265428 
 
 10-5260808 
 
 10-5256192 
 
 10-5251579 
 10-5246971 
 10-5242367 
 10-5237767 
 10-5233171 
 10-5228579 
 10-5223991 
 10-5219408 
 10-5214828 
 10-5210252 
 10-5205681 
 10-5201113 
 10-5196549 
 10-5191989 
 10-5187434 
 10-5182882 
 10-5178334 
 10-5173790 
 10-5169250 
 10-5164714 
 10-5160182 
 10-5155654 
 10-5151130 
 10-5146610 
 
 Covers. 
 
 Tang. 
 
 9-8599560 
 9-8597884 
 9-8596206 
 9-8594529 
 9-8592851 
 9-8591172 
 9-8589492 
 
 9-8587813 
 
 9-8586132 
 
 9-8584452 
 
 9-8582770 
 
 9-8581089 
 
 9-8579406 
 
 9-8577723 
 
 9-8576040 
 
 9-8574356 
 
 9-8572672 
 
 9-8570987 
 
 9-8569302 
 
 9-8567616 
 
 9-8565929 
 
 9-8564242 
 
 9-8562555 
 
 9-8560867 
 
 9-8559179 
 
 9-8557490 
 
 9-8555800 
 
 9-8554110 
 
 9-8552420 
 
 9-8550729 
 
 9-8549037 
 
 9-8547345 
 
 9-8545653 
 
 9-8543959 
 
 9-8542266 
 
 9-8540572 
 
 9-8538877 
 
 9-8537182 
 
 9-8535486 
 
 9-8533790 
 
 9-8532094 
 
 9-853039 
 
 9-8528699 
 
 9-852700 
 
 9-8525302 
 
 9-8523603 
 
 9-8521903 
 
 9-8520203 
 
 9-8518502 
 
 9-8516800 
 
 9-8515099 
 
 9-8513396 
 
 9-8511693 
 
 9-8509990 
 
 9-8508286 
 
 9-8506582 
 
 9-8504877 
 
 9-8503171 
 
 9-8501465 
 
 9-8499759 
 
 9-8498052 
 
 Verseds. 
 
 Secant 
 
 10-0171584 
 10-0171946 
 10-0172309 
 10-0172672 
 10-0173036 
 10-0173 400 
 10-0173764 
 10-0174129 
 10-0174494 
 0-0174860 
 10-0175226 
 10-0176592 
 10-0175959 
 10-0176326 
 10-0176694 
 10-0177062: 
 
 D. 
 
 Cosint 
 
 10-0177431 
 10-0177799 
 10-0178169 
 10-0178538 
 10-0178908 
 0-0179279 
 10-0179649 
 10^0180021 
 10-0180392 
 
 10-0180764 
 
 10-0181137 
 
 10-0181510 
 
 10-0181 
 
 10-0182256 
 
 10-0182630 
 
 10-0183005 
 
 10-0183380 
 
 10-018375? 
 
 10-0184130 
 
 10-0184506 
 
 10-0184883 
 
 10-0185260 
 
 10-0185637 
 
 10-0186014 
 
 10-0186392 
 
 10-0186771 
 
 10-0187150 
 
 10-0187529 
 
 10-0187909 
 
 10-0188289 
 
 10-0188669 
 
 10-0189050 
 
 10-0189431 
 
 100189813 
 
 10-0190195 
 
 10-0190577 
 
 10-0190960 
 
 10-0191343 
 
 10-0191727 
 
 10-0192111 
 
 10-0192495 
 
 10-0192880 
 
 10-0193265 
 
 10-0193651 
 
 10- 0194037 
 
 Cosec. 
 
 362 
 
 363 
 
 363 
 
 364 
 
 364 
 
 364 
 
 365 
 
 365 
 
 366 
 
 366 
 
 366 
 
 36 
 
 367 
 
 368 
 
 ^68 
 
 369 
 
 368 
 
 370 
 
 369 
 
 370 
 371 
 370 
 372 
 371 
 372 
 373 
 373 
 373 
 373 
 374 
 375 
 375 
 375 
 375 
 i76 
 377 
 377 
 377 
 377 
 378 
 379 
 379 
 379 
 380 
 380 
 380 
 381 
 381 
 382 
 382 
 382 
 383 
 383 
 384 
 384 
 384 
 385 
 385 
 386 
 86 
 
 D. 
 
 9-982841 
 9-982805 
 9-98276(3 
 9-98273'.^ 
 9-982690 
 9-982660 
 9-982623 
 
 9-982587 
 9-982550 
 9-982514 
 9-982477 
 9-982440 
 9-982404 
 
 >982367 
 9-982330 
 9-982293 
 9-982256 
 9-982220 
 9-982183 
 9-982146 
 9-982109 
 9-982072 
 9-982035 
 9-981997 
 9-981960 
 .9-981923 
 9-981886 
 9-981849 
 981811 
 9-981774 
 9-981737 
 9-981699 
 9-981662' 
 9-981624 
 981587< 
 9-981549 
 9-981511; 
 9-9814741 
 9-981436; 
 9-9813931 
 9-981360! 
 9-981322! 
 9-981285( 
 
 9-981247 
 9-981209 
 9-981171; 
 9-981133; 
 9-9810D5( 
 9-9810561 
 9-981018; 
 9-930980 = 
 9-930942C 
 9-980904( 
 9-980865; 
 9-980827: 
 9-9807881 
 9-980750; 
 9-9807l2( 
 9-980673; 
 9-980634! 
 9-980596; 
 
 Sine 
 
 <? o 
 
 Tit 
 
(2B2) 17 Deg. N^ATURAL SINES, &c. 
 
 Tab. 10. 
 
 292:^717 
 2926499 
 2929280 
 2932061 
 2934842 
 •2937623 
 2940403 
 
 Sine DIf. Covers Cosec. 
 
 2943183 
 
 2945963 
 
 2948743 
 
 2951522 
 
 ■2954302 
 
 2957081 
 
 2959859 
 
 2962638 
 
 296541 
 
 2968194 
 
 2970971 
 
 2973749 
 
 2976526 
 
 2979303 
 
 2982079 
 
 2984856 
 
 2987632 
 
 2990408 
 
 2993184 
 
 2995959 
 
 2998734 
 
 3001509 
 
 3004284 
 
 3007058 
 
 3009832 
 
 3012606 
 
 3015380 
 
 3018153 
 
 3020926 
 
 3023699 
 
 3026471 
 
 3029244 
 
 3032016 
 
 3034788 
 
 3037559 
 
 3040331 
 
 3043102 
 
 3045872 
 3048643 
 3051413 
 3054183 
 3056953 
 3059723 
 3062492 
 3065261 
 3068030 
 3070798 
 3073566 
 3076334 
 3079102 
 3081869 
 i084636 
 3087403 
 3090170 
 
 ' jCosine 
 
 2782 
 2781 
 2781 
 2781 
 2781, 
 2780 
 2780 
 2780 
 2780 
 2779 
 2780 
 2779 
 2778 
 2779 
 2778 
 2778 
 2777 
 2778 
 2777 
 
 2777 
 
 2776 
 
 2777 
 
 2776 
 
 2776 
 
 2776 
 
 2775 
 
 2775 
 
 277 
 
 2775 
 
 2774 
 
 2774 
 
 2774 
 
 27 74 
 
 2773 
 
 2773 
 
 2773 
 
 2772 
 
 2773 
 
 2772 
 
 2772 
 
 2771 
 
 2772 
 
 2771 
 
 2770 
 
 2771 
 
 2770 
 
 2770 
 
 2770 
 
 2770 
 
 2769 
 
 2769 
 
 2769 
 
 2768 
 
 2768 
 
 2768 
 
 2768 
 
 2767 
 
 2767 
 
 2767 
 
 2767 
 
 7076283 
 7073501 
 7070720 
 7067939 
 7065158 
 7062377 
 7059597 
 
 7056817 
 7054037 
 7051257 
 7048478 
 7045698 
 7042919 
 7040141 
 7037362 
 7034584 
 7031806 
 7029029 
 7026251 
 7023474 
 7020697 
 7017921 
 7015144 
 7012368 
 7009592 
 
 7006816 
 7004041 
 7001266 
 6998491 
 6995716 
 6992942 
 6990168 
 6987394 
 6984620 
 6981847 
 6979074 
 6976301 
 6973529 
 8970756 
 6967984 
 6965212 
 6962441 
 6959669 
 6956898 
 6954128 
 5951357 
 6948587 
 6945817 
 6943047 
 6940277 
 6937508 
 6934739 
 6931970 
 G929202 
 6926434 
 G9236GG 
 6920898 
 6918131 
 6915364 
 6912597 
 6909830 
 
 Dif.l Vers. 
 
 3-4203036 
 
 3-4170526 
 
 3-4138080 
 
 ^4105699 
 
 3-4073382 
 
 3-4041130 
 
 3-400894 
 
 3-3976816 
 
 3-3944754 
 
 3-3912755 
 
 3-3830820 
 
 3-3848948 
 
 3-3817138 
 
 3-3785391 
 
 3-3753707 
 
 3-3722084 
 
 3-3690524 
 
 3-3659026 
 
 3-3627589 
 
 3-3596214 
 
 3-3564900 
 
 3-3533647 
 
 3-3502455 
 
 3-3471324 
 
 3-3440254 
 
 3-3409244 
 
 3-3378294 
 
 3-3347405 
 
 3-3316575 
 
 3-3285805 
 
 3-3255095 
 
 3-3224444 
 
 3-3193853 
 
 3-3163320 
 
 3-3132847 
 
 3-3102432 
 
 3-3072076 
 
 3-3041778 
 3-3011539 
 3-2981357 
 3-2951234 
 3-2921168 
 3-2891160 
 3-2861209 
 3-2831316 
 3-2S01479 
 3-2771700 
 3-2741977 
 3-271231 
 
 3-2682702 
 3-2653149 
 3-2623652 
 3-259421 _ 
 3-2564825 
 i-2535496 
 
 3-2506222 
 3-2477003 
 3-2447840 
 3-2418732 
 3-2389678 
 3-2360680 
 
 Secant 
 
 Tan^. 
 
 3057307 
 
 3060488 
 
 5063670 
 
 5066852 
 
 3070034 
 
 307321 
 
 3076402 
 
 3079586 
 
 3082771 
 
 3085957 
 
 3089143 
 
 3092330 
 
 3095517 
 
 3098705 
 
 3101893 
 
 3105083 
 
 3108272 
 
 3111462 
 
 3114653 
 
 3117845 
 
 3121036 
 
 3124229 
 
 3127422 
 
 3130616 
 
 3133810 
 
 3137005 
 
 3140200 
 
 3143396 
 
 3146593 
 
 31497.90 
 
 3152988 
 
 3156186 
 
 315938 
 
 316258 
 
 3165785 
 
 3168986 
 
 3172187 
 
 3175389 
 
 3178591 
 
 3181794 
 
 3184998 
 
 3188202 
 
 3191407 
 
 3194613 
 
 3197819 
 
 3201025 
 
 3204232 
 
 3207440 
 
 3210649 
 
 3213858 
 
 3217067 
 
 3220278 
 
 3223489 
 
 3226700 
 
 3229912 
 
 3233125 
 
 3236338 
 
 3239552 
 
 3242766 
 
 3245981 
 
 3249197 
 
 Cotan 
 
 Cotanj;^- 
 
 3-2708526 
 3-2674529 
 3-2640596 
 3-2606728 
 ^•2572924 
 3-2539184 
 3-2505508 
 3-2471895 
 3-2438346 
 3-2404860 
 3-2371438 
 3-2338078 
 3-2304780 
 3-2271546 
 3-2238373 
 3-2205263 
 3-2172215 
 3-2139228 
 3-2106304 
 3-2073440 
 3-2040638 
 3-2007897 
 3-1975217 
 3-1942598 
 3-1910039 
 3-1877540 
 3-1845102 
 3-1812724 
 3-1780406 
 3-1748147 
 3-1715948 
 
 3-1683808 
 3-1651728 
 3-1619706 
 3-1587744 
 3-1555840 
 3-15239(94 
 3-1492207 
 3-1460478 
 3-1428807 
 3-1397194 
 3-1365639 
 3-1334141 
 3-1302701 
 3-1271317 
 3-1239991 
 3-1208722 
 3-1177509 
 3-1146353 
 3-1115254 
 3-1084210 
 3-1053223 
 3-1022291 
 3-0991416 
 3-0960596 
 3-0929831 
 3-0899122 
 3-0868468 
 3-0837869 
 3-0807325 
 3-0776835 
 
 Tang. 
 
 Secant Vers. D. Cosinel ' 
 
 1-0456918 
 
 1-0457848 
 
 1-0458780 
 
 1-0459712 
 
 1-0460646 
 
 1-046158 
 
 1-0462516 
 
 1-0463453 
 
 1-0464391 
 
 1-0465330 
 
 1-0466270 
 
 1-0467211 
 
 1-0468153 
 
 1-0469096 
 
 1-0470040 
 
 1-0470986 
 
 1-0471932 
 
 1-0472879 
 
 1-0473828 
 
 1-0474777 
 1-0475728 
 1-0476679 
 1-0477632 
 1-0478586 
 1-0479540 
 1-0480496 
 1-0481453 
 1-0482411 
 1-0483370 
 1-0484330 
 1-0485291 
 1-0486263 
 1-0487217 
 1-0488181 
 1-0489146 
 1-0490113 
 1-0491080 
 
 1-0492049 
 1-0493019 
 1-0493989 
 1-0494961 
 1-0495934 
 1-0496908 
 1-0497883 
 1-0498859 
 1-0499836 
 1-0500815 
 1-0501794 
 1-0502774 
 1-0503756 
 1-0504738 
 1-0505722 
 1-0506706 
 1-0507692 
 1-0508679 
 
 1-0509667 
 1-0510656 
 1-0511646 
 1-0512637 
 1-0513629 
 1-0514622 
 
 Cosec. 
 
 0436952 
 0437803 
 0438655 
 0439508 
 0440361 
 0441215 
 0442070 
 0442926 
 0443782 
 0444639 
 0445498 
 0446357 
 0447216 
 
 0448077 
 0448938 
 0449801 
 0450664 
 0451527 
 0452392 
 
 0453257 
 0454124 
 0454991 
 0455859 
 0456727 
 0457597 
 0458467 
 0459338 
 0460210 
 0461083 
 0461956 
 0462830 
 0463706 
 0464582 
 0465458 
 0466336 
 0467214 
 0468093 
 0468973 
 0469854 
 0470736 
 0471618 
 0472501 
 0473385 
 0474270 
 0475156 
 0476042 
 0476929 
 0477817 
 0478706 
 0479596 
 0480486 
 0481377 
 0482269 
 0483162 
 0484056 
 0484950 
 0485846 
 0486742 
 0487639 
 0488536 
 0489435 
 
 851 
 852 
 853 
 853 
 854 
 855 
 856 
 856 
 857 
 859 
 859 
 859 
 861 
 861 
 863 
 863 
 863 
 865 
 865 
 
 Covers D 
 
 867 
 867 
 868 
 868 
 870 
 870 
 
 871 
 872 
 873 
 873 
 874 
 876 
 876 
 876 
 878 
 878 
 879 
 880 
 881 
 882 
 882 
 883 
 884 
 885 
 886 
 886 
 887 
 888 
 889 
 890 
 890 
 891 
 892 
 893 
 894 
 894 
 896 
 896 
 897 
 897 
 899 
 
 9563048 
 9562197 
 9561345 
 9560492 
 9559639 
 9558785 
 9557930 
 9557074 
 9556218 
 9555361 
 9554502 
 9553643 
 9552784 
 
 9551923 
 9551062 
 9550199 
 9549336 
 9548473 
 9547608 
 9546743 
 9545876 
 9545009 
 9544141 
 9543273 
 9542403 
 9541533 
 9540662 
 9539790 
 9538917 
 9538044 
 9537170 
 9536294 
 9535418 
 9534542 
 9533664 
 9532786 
 9531907 
 9531027 
 9530146 
 9529264 
 9528382 
 9527499 
 9526615 
 9525730 
 9524844 
 9523958 
 9523071 
 952218S 
 9521294 
 9520404 1 1 
 
 9519514 
 9518623 
 9517731 
 9516838 
 9515944 
 9515050 
 9514154 
 9513258 
 9512361 
 9511464 
 9510565 
 
 Sine 
 
 Fl^rr TO 
 
irDeg. 
 
 LOGf SINES, &C. 
 
 (21 
 
 Sine 
 
 9-4659353 
 9-46'6'3483 
 9-4667609 
 9-4671730 
 9-4676848 
 9-4679960 
 9-4684069 
 9-4688173 
 9-4692273 
 9-4696360 
 9-4700461 
 9-4704548 
 9-4708631 
 9-4712710 
 9-4716785 
 9-4720856 
 9-4724922 
 
 17 9-4728985 
 
 18 9-4733043 
 
 19 
 20 
 21 
 22 
 23 
 24 9 
 
 9-4737097 
 9-4741146 
 9-4745192 
 9-4749234 
 9-4753271 
 4757304 
 
 25 9 
 
 4761334 
 9-4765359 
 9-4769380 
 9-4773396 
 9-4777409 
 9-4781418 
 
 9-4785423 
 4789423 
 4793420 
 9-4797412 
 9-4801401 
 9-4805385 
 9-4809366 
 9-4813342 
 9-4817315 
 9-4821283 
 9-4825248 
 9-4829208 
 9-4833165 
 9-4837117 
 9-4841066 
 9-4845010 
 9-4848951 
 4852888 
 9-4856820 
 9-4860749 
 9-4864674 
 9-4868595 
 9-4872512 
 9-4876426 
 9-4880335 
 9-4884240 
 9-4888142 
 9-4892040 
 9-4895934 
 9-4899824 
 
 Cosine 
 
 Uif. 
 
 Cosec. Verseds 
 
 4130 
 4126 
 4121 
 4118 
 4112 
 4109 
 4104 
 
 4100 
 4096 
 4092 
 4087 
 4083 
 4079 
 4075 
 4071 
 4066 
 4063 
 4058 
 4054 
 4049 
 4046 
 4042 
 4037 
 4033 
 4030 
 
 4025 
 402] 
 4016 
 4013 
 4009 
 4005 
 4000 
 3997 
 3992 
 3989 
 3984 
 3981 
 3976 
 3973 
 3968 
 3965 
 3960 
 3957 
 3952 
 3949 
 3944 
 3941 
 3937 
 3932 
 
 3929 
 3925 
 3921 
 3917 
 3914 
 3909 
 3905 
 3902 
 3898 
 3894 
 3890 
 
 Dif. 
 
 10-5340647 
 
 10-5336517 
 
 10-5332391 
 
 10-5328270 
 
 10-5324152 
 
 10-5320040 
 
 10-5315931 
 
 10-5311827 
 
 10-5307727 
 
 10-5303631 
 
 10-5299539 
 
 10-5295452 
 
 10-5291369 
 
 10-5287290 8 
 
 10-5283215 
 
 10-5279144 
 
 10-5275078 
 
 10-5271015 
 
 10-5266957 
 
 10-5262903 
 10-5258854 
 10-5254808 
 10-5250766 
 10-5246729 
 10-5242696 
 10-5238666 
 10-5234641 
 10-5230620 
 10-5226604 
 10-5222591 
 10-5218582 
 10-5214577 
 10-5210577 
 10-5206580 
 10-5202588 
 10-5198599 
 10-5194615 
 10-5190634 
 10-5186658 
 10-5182685 
 10-5178717 
 10-5174752 
 10-5170792 
 10-5166835 
 10-5162883 
 10-5158934 
 10-5154990 
 10-5151049 
 10-5147112 
 10-6143180 
 10-5139251 
 10-5135326 
 10-5131405 
 10-5127488 
 10-5123574 
 10-5119665 
 10-5115760 
 10-5111858 
 10-5107960 
 10-5104066 
 10-5100176 
 
 Secant 
 
 8-6404342 
 6412791 
 
 8-6421231 
 6429663 
 
 8-6438087 
 6446502 
 
 8-6454909 
 
 8-6463308 
 8-6471698 
 8-6480080 
 
 6488454 
 8-6496820 
 
 6505177 
 
 6513626 
 
 8-6521867 
 
 8-6530200 
 
 8-6538524 
 
 8-6546841 
 
 8-6555149 
 
 8-6563449 
 
 8-6671741 
 
 6580025 
 
 6588301 
 
 8-6696669 
 
 8-6604829 
 
 8-6613081 
 
 8-6621324 
 
 8-6629560 
 
 8-6637788 
 
 8-6646008 
 
 8-6654220 
 
 6662424 
 
 6670620 
 
 6678808 
 
 6686988 
 
 6695160 
 
 6703324 
 
 6711481 
 
 6719630 
 
 6727771 
 
 6735904 
 
 ■6744029 
 
 6762147 
 
 8-6760256 
 
 8-6768368 
 
 6776453 
 
 8-6784539 
 
 8-6792618 
 
 8-6800689 
 
 8-6808753 
 
 8-6816809 
 
 8-6824857 
 
 8-6832897 
 
 8-6840930 
 
 8-6848956 
 
 8-6856973 
 
 8-6864984 
 
 8-6872986 
 
 8-6880981 
 
 8-6888969 
 
 8-6896949 
 
 Covers. 
 
 Tang. 
 
 9-4853390 
 9-4857907 
 9-4862419 
 9-4866928 
 9-4871433 
 9-4875933 
 9-4880430 
 9-4884924 
 9-4889413 
 9-4893898 
 9-4898380 
 9-4902858 
 9-4907332 
 9-4911802 
 9-4916269 
 9-4920731 
 9-4925190 
 9-4929646 
 9-4934097 
 
 4938545 
 9-4942988 
 9-4947429 
 9-4951865 
 9-4956298 
 9-4960727 
 9-4965152 
 9-4969674 
 9-4973991 
 9-4978406 
 9-4982816 
 9-4987223 
 9-4991626 
 9-4996026 
 9-5000422 
 9-5004814 
 9-5009203 
 9-5013588 
 9-5017969 
 9-5022347 
 
 5026721 
 9-5031092 
 9-6035459 
 9-5039822 
 9-5044182 
 9-5048538 
 9-5052891 
 9-5057240 
 
 6061686 
 9-5065928 
 
 9-6070267 
 9-5074602 
 9-5078933 
 9-5083261 
 9-5087586 
 9-5091907 
 9-5096224 
 9-5100539 
 9-6104849 
 9-5109156 
 9-6113460 
 9-5117760 
 
 Cotang. 
 
 Dif. Cotang. Cover; 
 
 4517 
 4612 
 
 4500 
 4497 
 4494 
 
 4489 
 4485 
 4482 
 4478 
 4474 
 4470 
 
 4467 
 4462 
 4469 
 4456 
 4451 
 4448 
 
 4443 
 4441 
 4436 
 4433 
 4429 
 4425 
 4422 
 4417 
 4416 
 4410 
 4407 
 4403 
 4400 
 4396 
 4392 
 4389 
 4386 
 4381 
 
 4378 
 4374 
 4371 
 4367 
 4363 
 4360 
 4356 
 4363 
 4349 
 4346 
 4342 
 4339 
 4336 
 4331 
 4328 
 4325 
 4321 
 4317 
 4315 
 4310 
 4307 
 4304 
 4300 
 
 5146610 
 
 5142093 
 
 5137581 
 
 5133072 
 
 5128567 
 
 5124067 
 
 5119570 
 
 6116076 
 
 5110687 
 
 6106102 
 
 5101 
 
 5097142 
 
 6092668 
 
 620 9 
 
 849B062 
 
 8496344 
 
 8494636 
 
 8492928 
 
 8491219 
 
 8489509 
 
 8487799 
 
 9-8486088 
 
 9-8484377 
 
 9-8482665 
 
 8480953 
 
 9-8479240 
 
 9-8477527 
 
 9-8476813 
 
 9-8474099 
 
 9-8472384 
 
 9-8470669 
 
 9-8468953 
 
 9-8467237 
 
 5088198 
 
 6083731 
 
 5079269 
 
 5074810 
 
 5070364 
 
 5066903 
 
 5061455 9-8465520 
 
 5057012 9-8463802 
 
 5062571 
 5048135 
 5043702 
 6039273 
 
 9-8462084 
 9-8460366 
 9-8458647 
 9-8466927 
 
 6034848 9-8456207 
 
 9-8453487 
 
 9-8451766 
 
 9-8450044 
 
 9-8448322 
 
 9-8446599 
 
 9-8444876 
 
 8443152 
 
 9-8441428 
 
 8439703 
 
 9-8437978 
 
 9-8436252 
 
 9-8434526 
 
 9-8432799 
 
 8431072 
 
 9-8429344 
 
 8427615 
 
 9-8425886 
 
 9-8424157 
 
 8422427 
 
 9-8420696 
 
 9-8418965 
 
 8417233 
 
 8415501 
 
 9-8413768 
 
 9-8412035 
 
 8410301 
 
 9-8408667 
 
 9-8406832 
 
 9-8405097 
 
 8403361 
 
 8401625 
 
 8399888 
 
 8398150 
 
 •8396412 
 
 4882240 9-8394674 
 
 5030426 
 5026009 
 5021594 
 5017184 
 5012777 
 5008374 
 5003974 
 4999678 
 4995186 
 4990797 
 4986412 
 4982031 
 4977653 
 4973279 
 4968908 
 4964641 
 4960178 
 4955818 
 4951462 
 4947109 
 4942760 
 4938414 
 4934072 
 4929733 
 4925398 
 4921067 
 4916739 
 4912414 
 4908093 
 4903776 
 •4899461 
 •4895151 
 •4890844 
 ■4886640 
 
 Dif. Tang. jVerseds 
 — — 
 
 Secant ID. Cosine 
 
 10-0194037 
 10-0194423 
 10-0194810 
 10-0195197 
 10-0195685 
 10-0195973 
 10-0196361 
 10-0196750 
 10-0197140 
 10-0197529 
 10-0197919 
 10-0198310 
 10-0198701 
 10-0199092 
 10.0199484 
 10-0199876 
 10-0200268 
 10-0200661 
 10-0201054 
 
 10-0201448 
 10-0201842 
 10-0202236 
 10-0202631 
 10-0203027 
 10-0203422 
 
 10-0203818 
 10-0204215 
 10-0204612 
 10-0205009 
 10-0205407 
 10-0205806 
 10-0206204 
 10-0206602 
 10-0207002 
 10-0207401 
 10-0207802 
 10-0208202 
 
 10-0208603 
 10-0209004 
 10-0209406 
 10-0209808 
 10-0210211 
 10-0210614 
 10-0211017 
 10-0211421 
 10-0211825 
 10-0212230 
 10-0212635 
 10-0213040 
 10-0213446 
 10-0213852 
 10-0214269 
 10-0214666 
 10-0216073 
 10-0215481 
 10-0215889 
 10-0216298 
 10-0216707 
 10-0217117 
 10-0217526 
 10-0217937 
 
 386 
 
 387 
 387 
 
 388' 
 388' 
 388' 
 389)^ 
 390i; 
 
 .9-980596 
 
 9-980557 
 9-980519 
 9-980480 
 9-980441 
 9-980402 
 •980363 
 9-980325 
 . 980286 
 1119.9S0247 
 
 391 
 391 
 391 
 392 
 392 
 392 
 393 
 393 
 394 
 394 
 394 
 395 
 396 
 395 
 396 
 397 
 397 
 397 
 398 
 398 
 399 
 398 
 400 
 399 
 401 
 400 
 401 
 401 
 402 
 402 
 403 
 403 
 403 
 404 
 404 
 405 
 406 
 405 
 406 
 406 
 407 
 407 
 407 
 408 
 408 
 409 
 409 
 410 
 409 
 41 
 
 9-9802C8 
 -980169 
 9-980129 
 9-980090 
 9-980051 
 9-980012 
 9-979973 
 9-979933 
 9-979894 
 9-979855 
 9-979815 
 9-979776 
 9-979736 
 9-979697 
 9-979657 
 9-979618 
 9-979578 
 9-979638 
 9-979499 
 9-979459 
 9-979419 
 
 9-979379 
 9-979339 
 9-979299 
 9-979259 
 9-979219 
 9-979179 
 9-979139 
 
 979099 
 9-979059 
 9-979019 
 9-978978 
 9-978938 
 9-978898 
 9-978857 
 9-978817 
 9-978777 
 9-978736 
 9-97B696 
 9-978666 
 
 978614 
 9-978574 
 9-978533 
 9-978492 
 9-978451 
 9-978411 
 9-978370 
 9-978329 
 9-978288 
 9-978247 
 9-978206 
 
 Cosec. D, Sine 
 
(284) 18 De^. natural sines, &c. 
 
 Tab. 10. 
 
 I Sine 
 
 o:?o9oi70 
 
 l' 30921)36 
 2|30P5702 
 330.98468 
 4 3101234 
 Sm 03999 
 6:U0G764 
 
 7 
 
 n 09529 
 
 3112294 
 
 ill 5058 
 
 3117822 
 
 n 13120586 
 
 12 3123349 
 
 1J3126112 
 
 Dif 
 
 312887 
 
 3131638 
 
 3134400 
 
 3137163 
 
 3139926 
 
 3142686 
 
 3145448 
 
 3148209 
 
 3150969 
 
 3153730 
 
 3156490 
 
 3159250 
 
 3162010 
 
 3164770 
 
 3167529 
 
 3170288 
 
 3173047 
 
 31 3175805 
 
 3178563 
 3181321 
 3184079 
 3186836 
 3189593 
 
 3192350 
 3195106 
 3197863 
 3200619 
 3203374 
 3206130 
 
 3208885 
 3211640 
 3214395 
 3217149 
 3219903 
 3222657 
 3225411 
 3228164 
 3230917 
 3233670 
 3236422 
 3239174 
 3241926 
 3244678 
 5247429 
 J2501HO 
 325293! 
 525568^* 
 
 2766 
 
 2766 
 
 2766 
 
 2/66 
 
 2765 
 
 2765 
 
 2765 
 
 2765 
 
 2764 
 
 2764 
 
 27641 
 
 2763 
 
 2763 
 
 2763 
 
 2763 
 
 2762 
 
 2763 
 
 2762 
 
 2761 
 
 2762 
 
 2761 
 
 2760 
 
 2761 
 
 2760 
 
 2760i 
 
 Covers 
 
 6909830 
 6907064 
 6904298 
 6901532 
 6S9S766 
 6896001 
 6893236 
 
 6890471 
 6887706 
 16884942 
 
 Cosec. 
 
 '6882178 3-2073673 
 
 ^879414 
 6876651 
 6873888 
 6871125 
 6868362 
 6865600 
 6862837 
 6860075 
 6357314 
 6854552 
 6851791 
 6849031 
 6846270 
 6843510 
 
 3-2360680 
 3-2331736 
 3-2302846 
 3-227401 1 
 3-2245230 
 3-2216503 
 3-2187830 
 3-2159210 
 3-2130644 
 3-2102132 
 
 2760 
 2760 
 2759 
 2759 
 2759 
 2758 
 2758 
 
 6840750 
 6837990 
 6835230 
 6832471 
 6829712 
 6826953 
 6824195 
 6821437 
 
 ^^?^ 6818679 
 
 27581 
 
 6815921 
 
 3-2045266 
 3-2016913 
 3-1988613 
 3-1960365 
 3-1932170 
 3-I90402B 
 3-1875937 
 3-1847899 
 3-1819913 
 3-1791978 
 3-1764095 
 3-1736264 
 3-1708484 
 3-1680756 
 
 3-1653078 
 3-1626452 
 3-1697876 
 3-1670351 
 3-1542877 
 3-1615453 
 
 3-1488079 
 
 3-1460756 
 
 3-1433483 
 
 3-1406269 
 
 3-1379086 
 
 3-1361962 
 
 3-132488 
 
 3-1297862 
 
 57^^16813164 
 ;^^^r68I0407 
 27ggJ6807650 
 9*rf'7J6894894 o-j^y/ ooz 
 ol^fil6802137 3-1270886 
 ^^p99— - 
 
 27651-'^'^ 
 ^7^.6791115 
 
 ^7^^6788360 
 ^^^^16785605 
 
 Tang. 
 
 3249197 
 3352413 
 3255630 
 3258848 
 3262066 
 3265284 
 3268504 
 3271724 
 3274944 
 3278165 
 3281387 
 3284610 
 3287833 
 3291056 
 
 Cotanii:. Secant 
 
 3-0776835 
 
 3-0746400 
 
 3-0716020 
 
 3-0685694 
 
 3-0655421 
 
 3-0625203 
 
 3-0595038 
 
 3-0564928 
 
 3-0534870 
 
 3-0504866 
 
 3-0474915 
 
 3-044501 
 
 3-0415173 
 
 3-0386381 
 
 3294281 3-0355641 
 
 Cosine 
 
 2754! 
 
 6*782851 
 
 ^^^^16780097 
 ^^•^^16777343 
 ..7^o!6774589 
 P7„!6771836 
 27^3769083 
 ^^^^6766330 
 
 2752 
 2762 
 2752 
 2752 
 2751 
 2751 
 2751 
 2751 
 
 Dif. 
 
 67635/8 
 6760826 
 
 6758074 
 6755322 
 6752571 
 6749820 
 6747069 
 6744318 
 
 3297505 3-0325954 
 3300731 3-0296320 
 3303957 3-0266737 
 3307 184 3-0237207 
 3310411 3-0207728 
 3313639 3-0178301 
 3316868 3-0148926 
 3320097 3-0119603 
 3323327 3-0090330 
 3326557 3-0061109 
 3329788 3-0031939 
 3333020 3-0002820 
 3336252 2-9973761 
 3339485 2-9944734 
 3342719 2-9915766 
 3345953 2-9886850 
 3349188 2-9867983 
 33-52424 2-9829167 
 3355660 2-9800400 
 3358896 2-9771683 
 3362134 2-9743016 
 3366372 2-9714399 
 3368610 2-9685831 
 3371850 2-9657312 
 3375090 2-9628842 
 
 3-1243959 3378330 2-9600422 
 
 3-1217081 3381671 2-9672060 
 
 3-1 1Q0252 3384813 2-9543727 
 
 3-1163472 3388056 2-9516453 
 
 3-1136740 3391299 2-9487227 
 
 3-1 1 10057 3394543 2-9459050 
 
 3-1083422 3397787 2-9430921 
 
 3-1056835 3401032 2-9402840 
 
 3-10302963404278 2-9374807 
 
 3-1003806 3407524 2-9346822 
 
 3-0977363 3410771 2-9318885 
 
 3-0950967 3414019 2-929099 
 
 3-0924620 341 7267 2-9263 152 
 
 3-0898319 3420616 2-9235358 
 
 3-0872066 3423765 2-9207610 
 
 3-0846860 3427016 2-9179909 
 
 3-08 1 9702 3430266 2-9 1 52256 
 
 3-0793590 3433518 2-9124649 
 
 3-0767525 3436770 2-9097089 
 
 3-074 1 507 3440023 2-9069576 I -0576 1 48 
 
 3-07 1 5536 3443276j2-9042 1 09 1 -0576207 
 
 Veis. 
 
 Secant 
 
 1-0514622 
 1-0516617 
 1-0516612 
 1-0617608 
 1-0518606 
 1-0619605 
 1-0520604 
 1-0621605 
 1-0522607 
 1-0523610 
 1-0624614 
 1-0525619 
 1-0526625 
 
 1-0527633 
 1-0528641 
 1.0529651 
 1-0530661 
 1-0531673 
 1-0532686 
 1-0533699 
 1-0534714 
 1-0535730 
 1-0536747 
 1-0537765 
 1-0538785 
 1-0539805 
 1-0540826 
 1-0541849 
 1-0542873 
 1-0543897 
 1-0544923 
 1-0545950 
 1-0546978 
 1-0548007 
 1-0549037 
 1-0650068 
 1-0551101 
 1-0562134 
 1-0563169 
 1-05541^04 
 1-0555241 
 1-0566279 
 1-0567318 
 
 1-0558358 
 1-0559399 
 1-0560441 
 1-0561485 
 1-0562529 
 1-0563575 
 1-0564621 
 1 -0565669 
 1-0566718 
 1-0567768 
 1-0568819 
 1-0569871 
 1-0570924 
 1-0571978 
 1-0573034 
 1 -0574090 
 
 Vers. 
 
 Cotan. T; 
 
 ang. 
 
 Cos 
 
 ec. 
 
 0489435 
 0490334 
 0491234 
 0492135 
 0493037 
 0493939 
 0494843 
 
 0495747 
 0496652 
 0497557 
 0498464 
 0499371 
 0500279 
 0601188 
 0502098 
 0503009 
 0503920 
 0504832 
 0605745 
 
 0506659 
 0507574 
 0608489 
 0509405 
 0610322 
 0511240 
 0512158 
 0613078 
 05139.98 
 0514919 
 0515841 
 0516763 
 
 0517687 
 
 0518611 
 
 0619636 
 
 0620462 
 
 0621388 
 
 0522316 
 
 0523244 
 
 0524173 
 
 0626103 
 
 0526034 
 
 0526965 
 
 0527897 
 
 0528830 
 
 0529764 
 
 0530699 
 
 0631634 
 
 0532570 
 
 0633507 
 
 053444 
 
 0535384 
 
 0536323 
 
 0537264 
 
 0538205 
 
 0539146 
 
 0540089 
 
 0541032 
 
 0541977 
 
 0542922 
 
 0543868 
 
 0644814 
 
 Covers D. 
 
 D.IC 
 
 ('.sine 
 
 899 
 900 
 901 
 902 
 902 
 904 
 904 
 
 905 
 
 90, 
 
 907 
 
 907 
 
 908 
 
 909 
 
 910 
 
 11 
 
 911 
 
 12 
 
 913 
 
 914 
 
 915 
 
 916 
 
 916 
 
 917 
 
 918 
 
 918 
 
 920 
 
 920 
 
 921 
 
 922 
 
 922 
 
 924 
 
 924 
 
 926 
 
 926 
 
 926 
 
 928 
 
 928 
 
 929 
 
 930 
 
 931 
 
 931 
 
 932 
 
 933 
 
 934 
 
 936 
 
 935 
 
 936 
 
 937 
 
 938 
 
 .939 
 
 939 
 
 941 
 
 941 
 
 941 
 
 943 
 
 943 
 
 945 
 
 945 
 
 946 
 
 946 
 
 |95 10565 
 9509666 
 950876f 
 9507866 
 9506963 
 9506061 
 9505157 
 9504253 
 9503348 
 9502443 
 9501536 
 9500629 
 9499721 
 9498812 
 9497902 
 .9496991 
 9496080 
 9495168 
 9494265 
 
 9493341 
 
 9492426 
 
 9491511 
 
 9490595 
 
 948.9678 
 
 9488760 
 
 9487^42 
 
 9486922 
 
 9486002 
 
 .9485081 
 
 9484159 
 
 9483237 
 
 9482313 
 
 9481389 
 
 9480464 
 
 9479538 
 
 9478612 
 
 9477684 
 
 9476756 
 
 9475827 
 
 9474897 
 
 9473966 
 
 9473035 
 
 9472103 
 
 9471170 
 
 9470236 
 
 9469301 
 
 946S366 
 
 9467430 
 
 9466493 
 
 9465555 
 
 9464616 
 
 9463677 
 
 9462736 
 
 9461795 
 
 9460854 
 
 9459911 
 
 9458968 
 
 9458023 
 
 9457078 
 
 9456132 
 
 9455186 
 
 bine 
 
 60 
 59 
 58 
 57 
 56 
 66 
 64 
 53 
 52 
 61 
 60 
 49 
 48 
 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 26 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 17 
 16 
 16 
 1' 
 13 
 12 
 11 
 10 
 9 
 8 
 7 
 6 
 5 
 4 
 3 
 2 
 
 n* 
 
 >y^ 
 
18 Deo;. 
 
 LOG. SINES, &C. 
 
 (! 
 
 Sine Dif 
 
 9-4899824 
 .9-490.57 10 
 
 2 9-4907592 
 
 388G 
 
 3882 
 
 9-4911471^^^5 
 
 9-49 1 9216'"^'*^^ 
 
 9-4923083 
 
 9-4926946 
 
 9-4930806 
 
 9-4934661 
 
 9-4938513 
 
 119-4942361 
 
 12 9-4946205 
 
 13 9-4950046 
 9-4953383 
 
 15|9-4957716 
 16 9-496" 1545 
 179-4965370 
 
 18 9-49o9192 
 
 19 9-4973010 
 
 20 9-4976824 
 
 21 9-4980635 
 
 22 9-4984442 
 
 23 9-4988245 
 
 24 9-4992045 
 
 25 9-4995840 
 9-4999633 
 9-5003421 
 9-5007206 
 9-5010987 
 9-5014764 
 
 9-5018538 
 9-5022308 ' 
 
 33 9-5026075 
 
 34 9-5029838 
 
 35 9-5033597 
 5037353 
 
 9-5041105 
 
 38 9-5044853 
 
 39 9-5048598 
 9-5052339 
 9-5056077 
 9-5059811 
 
 9-5063542 
 9-5067269 
 9-5070992 
 9-5074712 
 9-5073428 
 9-5082141 
 
 9-5085850 
 9-5089556 
 9-5093258 
 
 52 9-5096956 
 53 
 
 9-5100651 
 
 54 9-5104343 
 
 55 9-5108031 
 
 56 9-5111716 
 
 3867 
 3863 
 386'{ 
 385.' 
 3852 
 3843 
 3844 
 3841 
 
 3837 
 3833 
 3829 
 3825 
 3822 
 3818 
 3814 
 3811 
 3807 
 3803 
 3800 
 3795 
 3793 
 3788 
 3785 
 3781 
 3777 
 3774 
 3770 
 ilQI 
 3763 
 3759 
 756 
 3752 
 
 3748 
 3745 
 3741 
 3738 
 3734 
 3731 
 
 3727 
 3723 
 3720 
 3716 
 3713 
 3709 
 3706 
 3702 
 3698 
 3695 
 3692 
 3688 
 \ 3685 
 
 57 9-5115397.^- 
 
 58 9-5 119074^:27 
 5919-5122749"^'^^ 
 
 60 9-5126419 
 
 Cosine Dif, 
 
 3681 
 
 3670 
 
 Cosec. IVerseds. Tang. iDif. Cotang. Covers. Secant D. Cosine 
 
 10-5100176 
 
 10-5096290 
 
 10-5C92408 
 
 10-5088529 
 
 10-50£r4655 
 
 10-5080784 
 
 10-5076917 
 
 10-5073054 
 
 10-50691.94 
 
 10-5065339 
 
 10-5061487 
 
 10-50o7639 
 
 10-5053795 
 
 10-5049954 
 
 10-5046117 
 
 10-5042284 
 
 10-5038455 
 
 10-5034630 
 
 10-5030808 
 
 10-5026990 
 
 10-5023176 
 
 10-5019365 
 
 10-501555 
 
 10-5011755 
 
 1 0-5007956 
 
 10-5004160 
 
 10-5000367 
 
 10-4996579 
 
 10-4992794 
 
 10-4989013 
 
 10-4385236 
 
 10-4981462 
 
 10-49776.92 
 
 10-4973925 
 
 10-4970162 
 
 10-4966403 
 
 10-4962647 
 
 10-4958895 
 
 10-4955147 
 
 10-4951402 
 
 10-4947661 
 
 10-4943923 
 
 10-4940189 
 
 10-4936458 
 
 10-4932731 
 
 10-4929008 
 
 10.4925288 
 
 10-4921572 
 
 10-4917859 
 
 10-4914150 
 
 10-4910444 
 
 10-4906742 
 
 10-4903044 
 
 10-4899349 
 
 10-4895657 
 
 10-4891969 
 
 10-4888284 
 
 10-4884603 
 
 10-4880926 
 
 10-4877251 
 
 10-4873581 
 
 8-6952599 
 8-G960520 
 8-6968432 
 8-5976338 
 8-6984236 
 8-6992127 
 8-7000010 
 8-7007886 
 8-7015755 
 8-7023617 
 8 -7031 4^1 
 8-7039318 
 8-7047158 
 8-7054990 
 8-7062815 
 7070633 
 7078444 
 8-7086247 
 8-7094044 
 8-7101833 
 8-7109615 
 8-7117390 
 8-7125157 
 8-7132918 
 
 7140671 
 8-7148418 
 8-7156157 
 8-7163B89 
 8-7171614 
 8-7179^32 
 8-7187044 
 ^-7194748 
 8-7202445 
 8-7210135 
 8-7217818 
 8-7225494 
 
 7233163 
 8-7240825 
 8-7248480 
 8-7256129 
 8-7263770 
 8-7271404 
 8-7279032 
 
 7286653 
 8-7294267 
 8-7301874 
 8-7309474 
 8-7317067 
 8-7324654 
 8-7332233 
 8-7339806 
 8-7347373 
 8-7354932 
 8-7362485 
 
 4273 
 4270 
 4266 
 4263 
 4259 
 4256 
 
 4253 
 4249 
 4246 
 4243 
 4239 
 4236 
 4233 
 4230 
 4226 
 4222 
 4220 
 4216 
 4213 
 4210 
 4206 
 4204 
 4200 
 4196 
 4194 
 4190 
 4187 
 4184 
 1181 
 4177 
 4174 
 4171 
 4168 
 4165 
 4161 
 4158 
 4156 
 4152 
 4148 
 4146 
 4143 
 4139 
 
 4137 
 4133 
 4130 
 4127 
 4124 
 4121 
 
 4117 
 4115 
 4112 
 4108 
 4106 
 
 10-4882240 
 10-4877943 
 10-4873649 
 10-4869359 
 10-4865073 
 10-4860790 
 10-4856510 
 10-4852234 
 10-4847961 
 10-4843691 
 10-4839425 
 10-4835162 
 10-4830903 
 
 9-3394674 
 9-8392935 
 9-8391195 
 9-8389455 
 .9-8387714 
 9-8385973 
 9-8384231 
 9-8382489 
 9-8380746 
 9-8379003 
 9-8377259 
 9-8375515 
 9-8373770 
 
 410, ' 
 
 10-4750605 
 
 10-4746411 
 
 10-4742221 9 
 
 10-4738034 
 
 10-4733850 
 
 10-4729669 
 
 10-4725492 
 
 10-4721318 
 
 10-4717147 
 
 10-4712979 
 
 10-4708814 
 
 10-4704653 
 
 -8361540 
 -8359791 
 •8358041 
 -8356291 
 -8354540 
 •8352789 
 
 •8351037 
 -8349285 
 -8347532 
 -8345778 
 -8344024 
 -8342269 
 -8340514 
 •8338759 
 ■8337002 
 •8335246 
 •8333488 
 •8331731 
 •8329972 
 •8328213 
 •8326454 
 -8324694 
 •8322933 
 -8321172 
 
 10-4700495 9-B3I9411 
 
 10-4696339 
 10-4692187 
 10-4688039 
 10-4683893 
 10-4679750 
 10-4675611 
 10-4671474 
 10-4667341 
 10-4663211 
 10-4659084 
 10-4654960 
 10-4650839 
 10-4646722 
 10-4642607 
 10-4638495 
 10-4634387 
 10-4630281 
 
 Secant Covers. Cotang. Dif. Tang. Verseds. Cosec. D 
 
 9-8317649 
 9-8315886 
 9-8314123 
 9-8312359 
 9-8310595 
 9-8308830 
 9-8307064 
 9-8305299 
 9-8303532 
 9-8301765 
 9-8299997 
 9-8298229 
 8296461 
 8294692 
 9-8292922 
 9-8291152 
 9-8289381 
 
 10-0217937 
 10-0218347 
 10-0218759 
 10-0219170 
 10-0219582 
 10-0219994 
 10-0220407 
 10-0220820 
 10-0221234 
 10-0221647 
 10-0222062 
 10-0222477 
 10-0222892 
 
 10-0223307 
 10-0223723 
 10-0224140 
 10-0224556 
 10-02249741 
 10-02253911 
 10-0225809 
 10-0226228 
 10-0226646 
 10^227066 
 10-0227485 
 10-0227905 
 10-0228326 
 10-0228747 
 10-0229168 
 10-0229590 
 10-0230012 
 10-0230434 
 
 10-0230857 
 10-0231280 
 10-0231704 
 10-0232128 
 10-0232553 
 10-0232978 
 10-0233403 
 10-0233829 
 10-0234255 
 10-0234682 
 10-0235109 
 10-0235536 
 10-0235965 
 10-0236392 
 10-0236821 
 10-0237250 
 10-0237679 
 10-0238109 
 10-0238539 
 10-0238970 
 10-0239401 
 10-0239833 
 10-0240264 
 10-0240697 
 10-0241130 
 10-0241563 
 10-0241996 
 10-0242430 
 10-0242865 
 10-0243299 
 
 422, 
 
 978206 
 978165 
 )-978124 
 ^978083 
 )-978041 
 ^-978000 
 )-977959 
 )-9779 18 
 )^977876 
 )-977835 
 ^•977793 
 ^•977752 
 ^•977710 
 )-977669 
 h9776'27 
 )-977586 
 )-977544 
 ^977502 
 )-977460 
 )-977419 
 h977S77 
 )-977335 
 )-977293 
 )-977251 
 )-977209 
 h977l67 
 )-977l25 
 ^-977083 
 )-977041 
 )-976998 
 )-976956 
 )-9769]4 
 )-976872 
 )-976829 
 )-976787 
 )-976744 
 )-976702 
 )^976659 
 )-9766l7 
 >-976574 
 ►•976531 
 (•976489 
 (•976446 
 ••976403 
 ••9 763 60 
 1-976317 
 (•976275 
 (•976232 
 (•976189 
 (•976146 
 (•976103 
 1-976059 
 1-976016 
 1-975973 
 1-975930 
 
 1-975887' 
 1-975843 
 1-975800 
 1-9757571 
 •-975713. 
 1-975670 
 
 Sine 
 
(C86) 19 Peg 
 
 Sine Dif. Covers 
 
 NATURAL SIJTES, &C. 
 
 Tab. 10, 
 
 {•ib"1182 
 J20'3')32 
 326b'68I 
 3269430 
 3272179 
 
 3274928 
 m7676 
 3280424 
 3283172 
 3285919 
 3288666' 
 3291413 
 3294160 
 3296906 
 3299653 
 3302398 
 3305144 
 
 3307889 
 3310634 
 3313379 
 3316123 
 3318867 
 3321611 
 3324355 
 3327098 
 3329841 
 3332584 
 3335326 
 3338069 
 3340810 
 3343552 
 3346293 
 3349034 
 3351775 
 3354516 
 3357256 
 3359996 
 3362735 
 3365475 
 3368214 
 3370953 
 3373691 
 3376429 
 3379167 
 3381905 
 3384642 
 3387379 
 3390116 
 3392852 
 3395589 
 3398325 
 3401060 
 3403796 
 3406531 
 3409265 
 3412000 
 3414734 
 J4 17468 
 3420201 
 
 6744318 
 6741568 
 6738818 
 6736068 
 6733319 
 6730570 
 6727821 
 6725072 
 6722324 
 6719576 
 6716828 
 6714081 
 6711334 
 
 6708587 
 6705840 
 6703094 
 6700347 
 _, ,^ 6697602 
 2^1? 6694856 
 6692111 
 6689366 
 6686621 
 6683877 
 
 2750 
 2750 
 2750 
 
 749 
 2749 
 2749 
 2749 
 
 1748 
 2748 
 2748 
 2747 
 2747 
 2747 
 2747 
 2746 
 2747 
 2745 
 
 2745 
 2745 
 2745 
 2744 
 
 2744!,...anQvi 
 
 -^^J6678389 
 
 ' |6675645 
 
 274^j6670159 
 
 ^74^16664674 
 2743 6661931 
 
 6659190 
 6656448 
 6653707 
 6650966 
 6648225 
 6645484 
 6642744 
 „-_ 6640004 
 ^lf66S7265 
 27^^6634525 
 
 2739 
 
 2742 
 2741 
 2741 
 2741 
 2741 
 2740 
 2740 
 
 2738 
 
 2738 
 2738 
 2738 
 2737 
 2737 
 2737 
 2736 
 2737 
 2736 
 2735 
 2736 
 2735 
 2734 
 2735 
 2734 
 '2734 
 I2733 
 
 Cosine iDif. 
 
 6631786 
 6629047 
 6626309 
 6623571 
 6620833 
 6618095 
 6615358 
 6612621 
 
 6609884 
 
 6607148 
 
 6604411 
 
 6601675 
 
 6598940 
 
 6596204 
 
 6593469 
 
 6590735 
 
 6588000 
 
 6585266 
 
 65825 
 
 6579799 
 
 Vers, 
 
 Cosec. 
 
 Tang. 
 
 3-0715535 
 {•0689610 
 3 •0663 731 
 3-0637898 
 3^06121 11 
 3-0586370 
 3-0560675 
 3-0535026 
 3-0509423 
 3-0483864 
 3-0458352 
 3-0432884 
 3-0407462 
 
 3-0382084 
 3-0356752 
 3-0331464 
 3-0306221 
 3-0281023 
 3-0255868 
 
 3-0230759 
 
 3-0205693 
 
 3-0180672 
 
 3-0155694 
 
 30130760 
 
 3-0105870 
 
 3-0081024 
 
 3-0056221 
 
 3-0031462 
 
 3-0006746 
 
 2-9982073 
 
 2-9967443 
 
 2-9932856 
 
 2-9908312 
 
 2^9883811 
 
 2-9859352 
 
 2-9834936 
 
 2-9810563 
 
 2^9786231 
 
 2^976 1942 
 
 2-9737695 
 
 2^9713490 
 
 2^9689327 
 
 2^9665205 
 
 2-9641125 
 
 2-9617087 
 
 2-9593090 
 
 2-9569135 
 
 2-9545221 
 
 2-9521348 
 
 2-9497516 
 
 2-947372, 
 
 2-9449975 
 
 2-9426265 
 
 2-9402597 
 
 2-9378968 
 
 2-9355380 
 
 2-9331833 
 
 2-9308326 
 
 2-9284858 
 
 2-9261431 
 
 2-9238044 
 
 Cotang. 
 
 3443276 
 3446530 
 3449785 
 3453040 
 3456296 
 3459553 
 3462810 
 3466068 
 3469327 
 3472586 
 3475846 
 3479107 
 3482368 
 3485630 
 3488893 
 3492156 
 3495420 
 3498685 
 3501950 
 3505216 
 3508483 
 3511750 
 3515018 
 3518287 
 3521556 
 3524826 
 3528096 
 3531368 
 3534640 
 3537912 
 3541186 
 3544460 
 3547734 
 3551010 
 3554286 
 3557562 
 3560840 
 3564118 
 3567397 
 3570676 
 3573956 
 3577237 
 3580518 
 3583801 
 3587083 
 3590367 
 3593651 
 3596936 
 3600222 
 3603508 
 3606795 
 3610082 
 3613371 
 3616660 
 3619949 
 
 3623240 
 3626631 
 3629823 
 3633115 
 3636408 
 3639702 
 
 2-9042109 
 2-9014688 
 2-8987314 
 2-8959986 
 2-8932704 
 2-8905467 
 2-8878277 
 2-8851132 
 2-8824033 
 2-8796979 
 2-8769970 
 2-8743007 
 2-8716088 
 
 2-8689215 
 2-8662386 
 2-8635602 
 2-8608863 
 2-8582168 
 2-8555517 
 
 2-8528911 
 2^8502349 
 2-8475831 
 2-8449356 
 2-8422926 
 2^8396539 
 2-8370196 
 2-8343896 
 2-8317639 
 2-8291426 
 8265256 
 2-8239129 
 2-8213045 
 2^8187003 
 2-8161004 
 2-8135048 
 2-8109134 
 2-8083263 
 2-8057433 
 2-8031646 
 2-8005901 
 2-7980198 
 2-7954537 
 2-7928917 
 2-7903339 
 2-7877802 
 2-7852307 
 2-7826853 
 27801440 
 2-7776069 
 27750738 
 2-7725448 
 27700199 
 2-7674990 
 2-7649822 
 2-7624695 
 
 2-7599608 
 2-7574561 
 2-7549554 
 2-7524588 
 2-7499661 
 2-7474774 
 
 Secant Vers. jD. Cosine ' 
 
 1-0576207 
 1^0577267 
 b0578328 
 1-0579390 
 1-0580453 
 1-0581517 
 1-0582583 
 1-0583649 
 1-0584717 
 1-0585786 
 1-0586855 
 b0587926 
 1-0588999 
 1-0590072 
 1-0591146 
 1-0592221 
 1-0593298 
 1-0594376 
 1-0595454 
 1-0596534 
 1-0597615 
 1-0598697 
 1-0599781 
 1-0600865 
 1-0601951 
 
 1-0603037 
 1 •0604125 
 1-0605214 
 1-0606304 
 I-O6O7395 
 1-0608487 
 1-0609580 
 1-0610675 
 1-0611770 
 1-0612867 
 1-0613965 
 1-0615064 
 1-0616164 
 1-0617265 
 1-0618367 
 1-0619471 
 1-0620575 
 1 -062 1681 
 1-0622788 
 1-0623896 
 1-0625005 
 1-0626115 
 1-0627227 
 1-0628339 
 1-0629453 
 1-0630568 
 1-0631684 
 1-0632801 
 1-0633919 
 1-0635038 
 1-0636158 
 1-0637280 
 1-0638403 
 1 -0639527 
 1-0640652 
 1-0641778 
 
 0544814 
 0545762 
 0546710 
 0547659 
 0548609 
 0549559 
 0550511 
 0551463 
 0552416 
 0553370 
 0554325 
 0555280 
 0556236 
 0557193 
 0558151 
 0559110 
 0560069 
 0561029 
 0561990 
 0562952 
 0563915 
 0564878 
 0565843 
 0566808 
 0567773 
 0568740 
 0569707 
 0570676 
 0571645 
 0572614 
 0573585 
 0574556 
 0576529 
 0576502 
 0577475 
 0578450 
 0579425 
 0580402 
 0581379 
 0682356 
 0583336 
 0684314 
 0685295 
 0586276 
 0587257 
 0588240 
 0589223 
 0590207 
 0591192 
 
 0692178 
 0593165 
 0694152 
 0595140 
 0596129 
 0597119 
 0598109 
 0599101 
 0600093 
 0601086 
 O6O2079 
 0603074 
 
 Secant Cotan.j Tang. I Cosec. Covers D. Sine 
 
 948 
 948 
 949 
 950 
 950 
 952 
 952 
 953 
 954 
 965 
 955 
 956 
 957 
 958 
 959 
 969 
 960 
 961 
 962 
 963 
 963 
 965 
 965 
 965 
 967 
 967 
 969 
 969 
 969 
 971 
 971 
 973 
 973 
 973 
 975 
 975 
 977 
 977 
 977 
 979 
 979 
 981 
 981 
 
 981 
 983 
 983 
 984 
 985 
 986 
 987 
 987 
 988 
 989 
 990 
 990 
 992 
 992 
 993 
 993 
 995 
 
 9455186 60 
 
 9454238 
 9453290 
 9452341 
 9451391 
 9450441 
 9449489 
 
 9448537 
 9447584 
 9446630 
 9445675 
 9444720 
 9443764 
 
 9442807 
 9441849 
 9440890 
 9439931 
 9438971 
 9438010 
 9437048 
 9436085 
 9435122 
 9434157 
 9433192 
 9432227 
 9431260 
 9430293 
 9429324 
 9428355 
 9427386 
 9426415 
 9425444 
 9424471 
 9423498 
 9422525 
 9421650 
 9420575 
 
 9419598 
 9418621 
 9417644 
 9416665 
 9415686 
 9414705 
 9413724 
 9412743 
 9411760 
 9410777 
 9409793 
 9408808 
 9407822 
 9406835 
 9405848 
 9404860 
 9403871 
 9402881 
 
 9401891 
 9400899 
 9399907 
 9398914 
 9397921 
 9396926 
 
 Hf^rr 'TO 
 
]9 De^. 
 
 LOG. SINES, &C. 
 
 (^i 
 
 Verseds. Tang. Dif. Cotang. Covers. Secant D. Cosine 
 
 Sine 
 
 9-5126419 
 9-5130086 
 9-5133750 
 9-5137410 
 9-5141067 
 9-5144721 
 9-5148371 
 9-5152017 
 9-5155660 
 9-5159300 
 9-5162936 
 9-5166569 
 9-5170198 
 9-5173824 
 9-5177447 
 9-5181066 
 9-5184682 
 9-5188295 
 9-5191904 
 9-5195510 
 9-5199112 
 9-5202711 
 9-520^5307 
 9-5209899 
 9-5213488 
 217074 
 9-5220656 
 9-5224235 
 9-5227811 
 9-5231383 
 9-5234953 
 9-5238518 
 9-5242081 
 9-5245640 
 9-5249196 
 9-5252749 
 9-5256298 
 9-5259844 
 9-5263387 
 9-5266927 
 9-5270463 
 9-5273997 
 9-5277526 
 9-5281053 
 9-5284577 
 9-5288097 
 9-5291614 
 9-5295128 
 9-5298638 
 9-5302146 
 9-5305650 
 9-5309151 
 9-5312649 
 9-5316143 
 9-5319635 
 9-5323123 
 9-5326608 
 9-5330090 
 9-5333569 
 9-5337044 
 9-5340517 
 
 Dif. Cose 
 
 3667 
 3664 
 3660 
 3657 
 3654 
 3650 
 3646 
 
 3643 
 3640 
 3636 
 3633 
 3629 
 3626 
 
 3623 
 3619 
 3616 
 3613 
 3609 
 3606 
 3602 
 3599 
 3596 
 3592 
 3589 
 3586 
 3582 
 3579 
 3576 
 3572 
 3570 
 3565 
 3563 
 3559 
 3556 
 3553 
 3549 
 3546 
 3543 
 3540 
 3536 
 3534 
 3^29 
 3527 
 3524 
 3520 
 3517 
 3514 
 3510 
 3508 
 3504 
 3501 
 3498 
 3494 
 3492 
 3488 
 3485 
 3482 
 3479 
 3475 
 3473 
 
 C. 
 
 10-4873581 
 10-4869914 
 10-4866250 
 10-4862590 
 10-4858933 
 10-4855279 
 10-4851629 
 10-4847983 
 10-4844340 
 10-4840700 
 10-4837064 
 10-4833431 
 10-4829802 
 
 10-4826176 
 10-4822553 
 10-4818934 
 10-4815318 
 10-4811705 
 10-4808096 
 10-4804490 
 10-4800888 
 10-4797289 
 10-4793693 
 10-4790101 
 10-4786512 
 10-4782926 
 10-4779344 
 10-4775765 
 10-4772189 
 10-4768617 
 10-4765047 
 10-4761482 
 10-4757919 
 10-4754360 
 10-4750804 
 10-4747251 
 10-4743702 
 10-4740156 
 10-4736613 
 10-4733073 
 10-4729537 
 10-4726003 
 10-4722474 
 
 10-4718947 
 10-4715423 
 10-4711903 
 10-4708386 
 10-4704872 
 10-4701362 
 10-4697854 
 10-4694350 
 10-4690849 
 10-4687351 
 10-4683857 
 10-4680365 
 
 10-4676877 
 10-4673392 
 10-4669910 
 10-4666431 
 10-4662956 
 10-4659483 
 
 7362485 
 7370030 
 7377570 
 7385102 
 7392628 
 7400147 
 -7407659 
 
 -7415165 
 -7422664 
 -7430156 
 •7437642 
 •7445121 
 -7452593 
 -7460059 
 -7467518 
 -7474971 
 -7482417 
 -7489857 
 -7497290 
 
 -7504716 
 -7512136 
 -7519549 
 •7526956 
 ■7534357 
 7541751 
 
 -7549138 
 -7556519 
 -7563894 
 -7571262 
 -7578623 
 -7585979 
 -7593327 
 -7600670 
 -7608006 
 -7615336 
 -7622659 
 -7629976 
 '76372S6 
 -7644591 
 -7651889 
 •7659180 
 '7666466 
 1-7673745 
 !-7681018 
 1-7688284 
 1-7695544 
 1-7702798 
 1-7710046 
 t'7717288 
 1-7724523 
 1-7731752 
 !-7738975 
 1-7746192 
 i-7753403 
 !-7760607 
 1-7767805 
 \-7774997 
 !-7782183 
 ! -7789363 
 i-7796537 
 i-7803705 
 
 9-5369719 
 9-5373821 
 9-5377920 
 9-5382017 
 9-5386110 
 9-5390200 
 9-5394287 
 9-5398371 
 9-5402453 
 9-5406531 
 9-5410606 
 9-5414678 
 9-5418747 
 9-5422813 
 9-5426877 
 9-5430937 
 9-5434994 
 9-5439048 
 9-5443100 
 
 9-5447148 
 9-5451193 
 9-5455236 
 
 5459276 
 9-5463312 
 
 5467346 
 
 9-5471377 
 9-54754a5 
 9-5479430 
 9-5483452 
 9-5487471 
 9-5491487 
 9-5495500 
 9^5499511 
 9-5503519 
 9-5507523 
 9-5511525 
 9-5515524 
 9-5519521 
 9-5523514 
 9-5527504 
 9-5531492 
 9-5535477 
 9-5539459 
 9-5543438 
 9^5547415 
 9-5551388 
 9-5555359 
 9-5559327 
 9-5563292 
 
 9-5567255 
 9-5571214 
 9-5575171 
 9-5579125 
 9^5583077 
 9-5587025 
 
 9-5590971 
 9-5594914 
 9-5598854 
 9-5602792 
 9-5606727 
 9-5610659 
 
 4102 
 4099 
 4097 
 4093 
 4090 
 4087 
 4084 
 
 4082 
 4078 
 4075 
 4072 
 4069 
 4066 
 4064 
 4060 
 4057 
 4054 
 4052 
 4048 
 4045 
 4043 
 4040 
 4036 
 4034 
 4031 
 4028 
 4025 
 4022 
 4019 
 4016 
 4013 
 4011 
 4008 
 4004 
 4002 
 3999 
 3997 
 3993 
 3990 
 3988 
 3985 
 3982 
 3979 
 
 3977 
 3973 
 3971 
 3968 
 3965 
 3963 
 3959 
 3957 
 3954 
 3952 
 3948 
 3946 
 3943 
 3940 
 3938 
 3935 
 3932 
 
 10-4630281 
 10-4626179 
 10-4622080 
 10-4617983 
 10-4613890 
 10-4609800 
 10-4605713 
 10-4601629 
 10-4597547 
 10-4593469 
 0-4589394 
 10-4585322 
 10-4581253 
 
 10-4577187 
 10-4573123 
 10-4569063 
 10-4565006 
 10-4560952 
 10-4556900 
 10-4552852 
 10^4548807 
 10-4544764 
 10-4540724 
 104536688 
 10-4532654 
 10-4528623 
 10-4524595 
 10-4520570 
 10-4516548 
 10-4512529 
 10-4508513 
 10-4504500 
 10-4500489 
 10-4496481 
 10-4492477 
 10-4488475 
 10-4484476 
 10-4480479 
 10-4476486 
 10-4472496 
 10-4468508 
 10-4464523 
 10-4460541 
 10-4456562 
 10-4452585 
 10-4448612 
 10-4444641 
 10-4440673 
 10-4436708 
 10-4432745 
 10-4428786 
 10-4424829 
 10-4420875 
 10-4416923 
 10-4412975 
 10-4409029 
 10-4405086 
 10.4401146 
 10-4397208 
 10-4393273 
 10-4389341 
 
 9-8289381 
 9-8287609 
 9-8285837 
 9-8284065 
 9-8282292 
 9-8280518 
 9-8278744 
 
 9-8276970 
 9-8275194 
 9-8273419 
 9-8271642 
 9-8269866 
 9-8268088 
 8266310 
 9-8264532 
 9-8262753 
 9-8260973 
 9-8259193 
 9-8257412 
 
 9-8255631 
 9-8253849 
 9-8252067 
 9-8250284 
 9-8248501 
 9-8246717 
 9-8244932 
 9-8243147 
 9-8241362 
 9-8239576 
 9-8237789 
 9-8236002 
 9-8234214 
 9-8232425 
 9-8230636 
 9-8228847 
 9-8227057 
 9-8225266 
 9-8223475 
 9-8221684 
 9-8219891 
 9-8218099 
 9-8216305 
 9-8214511 
 
 9-8212717 
 9-8210922 
 9-8209126 
 9-8207330 
 9-8205533 
 9-8203736 
 
 9-3201938 
 9-8200140 
 9-8198341 
 9-8196542 
 9-8194742 
 9-8192941 
 
 9-8191140 
 9-8189338 
 9-8187536 
 9-8185733 
 9-8183930 
 9-8182126 
 
 10-0243299 
 10-0243735 
 10-0244170 
 10-0244606 
 10-0245043 
 10-0245479 
 10-0245917 
 10-0246354 
 10-0246792 
 10-0247231 
 10-0247670 
 10-0248109 
 10-0248549 
 10-0248989 
 10-0249430 
 10-0249871 
 10-0250312 
 10-0250754 
 10-0251196 
 
 10-0251639 
 10-0252082 
 10-0252525 
 10-0252969 
 10-0253413 
 10-0253858 
 10-0254303 
 10-0254748 
 10-0255194 
 10-0255641 
 10-0256087 
 10-0256534 
 10-0256982 
 10-0257430 
 100257878 
 10-0258327 
 10-0258776 
 10-0259226 
 10-0259676 
 10-0260127 
 10-0260578 
 10-0261029 
 10-0261481 
 10-0261933 
 10-0262385 
 10-0262838 
 10-0263291 
 10-0263745 
 10-0264199 
 10-0264654 
 10-0265109 
 10-0265565 
 10-0266020 
 10-0266477 
 10-0266933 
 10-0267390 
 10-0267848 
 10-0268306 
 10-0268764 
 10-0269223 
 10-0269682 
 10-0270142 
 
 436 
 435 
 436 
 437 
 436 
 438 
 437 
 438 
 439 
 439 
 439 
 440 
 440 
 441 
 441 
 441 
 442 
 442 
 443 
 443 
 443 
 444 
 444 
 445 
 445 
 445 
 446 
 447 
 446 
 447 
 448 
 
 448 
 448 
 449 
 449 
 450 
 450 
 451 
 451 
 451 
 452 
 452 
 452 
 453 
 453 
 454 
 454 
 455 
 455 
 456 
 455 
 457 
 456 
 457! 
 
 458; 
 
 458 
 458 
 459 
 459 
 460 
 
 9-975670 
 9-975626 
 9-975583 
 9-975539 
 9-975495 
 9-975452 
 9-975408 
 9-975364 
 9-975320 
 9-975276 
 9-975233 
 975189 
 9-975145 
 9-975101 
 9-975057 
 9-975012 
 9-974968 
 9-974924 
 9-974880 
 
 9-974836 
 9-974791 
 9-974747 
 9-974703 
 9-974658 
 9-974614 
 9-974569 
 9-974525 
 9-974480 
 9-974435 
 9-974391 
 9-974346 
 9-974301 
 9-974257 
 9-974212 
 9-974167 
 9-974122 
 9-974077 
 9-974032 
 9-973987 
 9-973942 
 9-973897 
 9-973851 
 9-973806 
 9-973761 
 9-973716 
 9-973670 
 9-973625 
 9-973580 
 9-973534 
 
 9-973489 
 9-973443 
 9-973398 
 9-973352 
 9-973306 
 9-973261 
 
 9-973215 
 9-973169 
 9-973123 
 9-973077 
 9-973031 
 9-972985 
 
 Cosine Dif. 
 
 Secant Covers. Cotang. Dif. 
 
 » .. ....-liil i» n ill.|iil . ii. y ,i ■! I. I il W (T l» 
 
 ^, 
 
 ang. 
 
 Verseds. 
 
 Cosec. 
 
 D. Sine 
 
(288) 20 Depj. natural sin i.s, &c. 
 
 Tab. 10. 
 
 Sine 
 
 3420201 
 
 .J-1256'h"H 
 
 .J42H40() 
 
 .J43ll;}3 
 
 513433865 
 
 6j3436597 
 
 713431)32.0 
 
 8 3442060 
 
 9 3444791 
 103447521 
 11,3450252 
 12j3452982 
 1313455712 
 14 3458441 
 15 '346*1 171 
 16j34G3900 
 I7j346'6628 
 18,3469357 
 19(3472085 
 20'3474812 
 2I]3477540 
 22(3480267 
 23)3482994 
 24j3485720 
 
 25|3488447 
 26;3491173 
 27i3493898 
 2813496624 
 29'3499349 
 303502074 
 
 31 3504798 
 323507523 
 33 3510246 
 343512970 
 35 3515693 
 
 3518416 
 3521139 
 3523862 
 
 39j3526584 
 
 403529306 
 
 413532027 
 
 423534748 
 
 43'3537469 
 
 44.3540190 
 
 45|3542910 
 
 46 3545630 
 
 47 
 
 48 
 
 49 
 
 50 
 
 51 
 
 52 
 
 53 
 
 54 
 
 55 
 
 56 
 
 57 
 
 3548350 
 3551070 
 
 3553789 
 
 3556508 
 
 3559226 
 
 3561944 
 
 3564662 
 
 3567380 
 
 3570097 
 
 3572814 
 
 357553 
 
 3578248 
 
 3580964 
 
 3583679 
 
 Dif. Covet 
 
 2734 
 
 2733 
 >7i2 
 27:1^ 
 2732 
 2732 
 2732 
 
 2731 
 2731 
 2730 
 2731 
 
 2730 
 2730 
 2729 
 2730 
 2729 
 2728 
 2729 
 2728 
 2727 
 2728 
 2727 
 2727 
 2726 
 2727 
 2726 
 2725 
 2726 
 2725 
 2725 
 2724 
 
 2725 
 2723 
 2724 
 2723 
 2723 
 2723 
 
 2723 
 
 2722 
 
 2722 
 
 2721 
 
 2721 
 
 2721 
 
 2721 
 
 2720 
 
 2720 
 
 2720 
 
 2720 
 
 2719 
 
 2719 
 
 271 
 
 2718 
 
 2718 
 
 2718 
 
 2717 
 
 2717 
 
 2717 
 
 27 
 
 2716 
 
 2715 
 
 6579799 
 6577065 
 6574332 
 6571600 
 6568867 
 6566135 
 6563403 
 
 6560671 
 6557940 
 6555209 
 6552479 
 6549748 
 6547018 
 
 6544288 2-8937598 
 
 Cosec. 
 
 2-9238044 
 2-9214697 
 2-9191389 
 2-9168121 
 2-9144892 
 2-9121703 
 2-9098553 
 2-9075443 
 2-9052372 
 2-9029339 
 2-9006346 
 2-8983391 
 2-8960475 
 
 6541559 
 6538829 
 6536100 
 6533372 
 6530643 
 6527915 
 6525188 
 6522460 
 6519733 
 6517006 
 6514280 
 6511553 
 6508827 
 6506102 
 6503376 
 6500651 
 6497926 
 495202 
 6492477 
 6489754 
 6487030 
 6484307 
 6481584 
 6478861 
 6476138 
 6473416 
 6470694 
 6467973 
 6465252 
 
 6462531 
 6459810 
 6457090 
 6454370 
 6451650 
 6448930 
 6446211 
 6443492 
 6440774 
 6438056 
 6435338 
 6432620 
 6429903 
 6427186 
 6424469 
 6421752 
 6419036 
 6416321 
 
 2-8914760 
 2-8891960 
 2-8869198 
 2-8846474 
 2-8823789 
 2-8801142 
 2-8778532 
 2-8755961 
 2-8733428 
 2-8710932 
 2-8688474 
 
 8666053 
 
 8643670 
 
 8621324 
 
 859901 
 
 8576744 
 
 8554510 
 
 8532312 
 8510152 
 8488028 
 8465941 
 8443891 
 8421877 
 8399899 
 8377958 
 8356054 
 83341 8f 
 831235.^ 
 8290556 
 
 ani^. 
 
 2-8268796 
 2-8247071 
 2-8225382 
 2-8203729 
 2-8182111 
 2-8160529 
 2-8138982 
 2-8117471 
 2-8095995 
 2-8074554 
 2-8053148 
 2-8031777 
 2-8010441 
 2-7989140 
 2-7967873 
 2-7946641 
 2-7925444 
 2-7904281 
 
 3639702 
 3642997 
 3646292 
 3649588 
 3652885 
 3656182 
 3659480 
 3662779 
 3666079 
 3G69V9 
 3672680 
 3675981 
 3679284 
 
 3682587 
 
 3685890 
 
 3689195 
 
 3692500 
 
 3695806 
 
 3699112 
 
 3702420 
 
 3705728 
 
 3709036 
 
 3712346 
 
 3715656 
 
 3718967 
 
 3722278 
 
 3725590 
 
 3728903 
 
 3732217 
 
 3735532 
 
 3738847' 
 
 3742163 
 
 3745479 
 
 3748797 
 
 375211 
 
 3755433 
 
 3758753 
 
 3762073 
 
 3765394 
 
 3768716 
 
 3772038 
 
 3775361 
 
 3778685 
 
 3782010 
 
 3785335 
 
 3788661 
 
 3791988 
 
 3795315 
 
 3798644 
 
 3801973 
 
 3805302 
 
 3808633 
 
 3811964 
 
 3815296 
 
 3818629 
 
 3821962 2 
 
 3825296 
 
 .^-7474774 
 
 2-7449927 
 
 2-7425120 
 
 2-7400352 
 
 2-7375623 
 
 2-7350934 
 
 2-7326284 
 
 2-7301674 
 
 2-7277102 
 
 2-7252569 
 
 2-7228076 
 
 2-7203620 
 
 2-7179204 
 
 2-7154826 
 
 2-713048 
 
 2-7106186 
 
 2-7081923 
 
 2-7057699 
 
 2-7033513 
 
 2-7009364 
 
 2-6985254 
 
 2-69611 
 
 2-6937147 
 
 2-6913149 
 
 2-6389190 
 
 Cosine 
 
 Dif.l Vers. Secant Cotan. Ti 
 
 (3otani^ 
 
 6865267 
 6841383 
 6817535 
 6793725 
 6769951 
 6746215 
 
 2- 
 
 2> 
 
 2- 
 
 2- 
 
 2- 
 
 2' 
 
 2-6722516 
 
 2-6698853 
 
 2-6675227 
 
 2-6651638 
 
 2-662808. • 
 
 2-6604569 
 
 2-6581089 
 
 2-6557645 
 
 2-6534238 
 
 2-6510867 
 
 2-6487531 
 
 2-6464232 
 
 2 
 
 2 
 
 2 
 
 2 
 
 2 
 
 2 
 
 3828631 
 3831967 
 3835303 
 3838640 
 
 6440969 
 6417741 
 6394549 
 ■6371392 
 •6348271 
 ■6325186 
 
 •6302136 
 •6279121 
 •6256141 
 •6233196 
 •6210286 
 •6187411 
 
 •6164571 
 -6141766 
 -6118995 
 -6096259 
 -6073558 
 •6050891 
 
 Secant 
 
 1-0641778 
 1-0642905 
 1-0644033 
 1 •0645 163 
 1-0646294 
 1-0647425 
 1 -0648558 
 1-0649693 
 1-0650828 
 1-0651964 
 1-0653102 
 1-0654240 
 1-0655380 
 1-0656521 
 1-0657663 
 1-0658807 
 1-0659951 
 1 -0661057 
 1-0662243 
 
 1-0663391 
 
 1 -0664540 
 
 1-0665690 
 
 1-0666842 
 
 1-0667394 
 
 I -0669 1 48 
 
 1-0670302 
 
 1-0671458 
 
 1-0672615 
 
 1-0673774 
 
 1-0674933 
 
 1-0676094 
 
 1-0677255 
 
 1-0678418 
 
 1-0679582 
 
 1-0680747 
 
 1-0681914 
 
 1-0683081 
 
 1-0684250 0640429 
 
 1-0685420 0641453 
 
 1-0686591 0642479 
 
 1-0687763 0643505 
 
 1-0688936 0644532 
 
 1-0690110 0645560 
 
 Vers. \M\. Cosine 
 
 0603074 
 
 0604069 
 
 0605065 
 
 0605062 
 
 0607060 
 
 0608058 
 
 060905 
 
 0610058 
 
 0611058 
 
 0612060 
 
 0613062 
 
 0614066 
 
 0615070 
 
 0616075 
 0617080 
 0618087 
 0619094 
 0620102 
 0621111 
 
 0622120 
 0623131 
 0624142 
 0625154 
 0626167 
 0627180 
 0628194 
 0629210 
 0630226 
 0631242 
 0632260 
 0633278 
 0634297 
 0635317 
 0636338 
 OS37359 
 0633382 
 0639405 
 
 1-0691286 
 1-0692463 
 1-0693641 
 1-0694820 
 1 -0696000 
 
 0646588 
 0647618 
 0648648 
 0649679 
 0650711 
 
 1-0697182 0651743 
 1-0698364 0652777 
 1-0699548 06538 
 1 -070073310654846 
 1-0701919 0655881 
 
 1-0703106 
 1-0704295 
 1-0705484 
 1-0706675 
 1-0707867 
 1-0709060 
 1-0710254 
 1-0711450 
 
 0656918 
 0657955 
 
 0658993 
 0660032 
 0661072 
 0662112 
 0663154 
 0664196 
 
 Cosec. Covers Dif Sine 
 
 995 
 996 
 
 m7 
 
 998 
 998 
 999 
 1001 
 
 1000 
 002 
 1002 
 1004 
 1004 
 005 
 1005 
 007 
 007 
 100!^ 
 1009 
 1009 
 1011 
 1011 
 1012 
 1013 
 1013 
 1014 
 1016 
 1016 
 1016 
 1018 
 1018 
 1019 
 1020 
 1021 
 1021 
 1023 
 1023 
 1024 
 1024 
 1026 
 1026 
 1027: 
 1028 
 1028 
 1030 
 I030; 
 1031 
 1032 
 1032 
 1034 
 k)34 
 1035 
 1035 
 1037 
 1037 
 1038 
 1039 
 1040 
 1040 
 1042 
 1042 
 
 9396926 
 9395931 
 9394935 
 9393938 
 9392940 
 9391942 
 9390943 
 9389942 
 9388942 
 9387940 
 }386;)38 
 9385934 
 9384930 
 
 9383925 
 9382920 
 9381913 
 9380906 
 9379898 
 9378889 
 9377880 
 9376869 
 9375858 
 9374846 
 9373833 
 9372820 
 9371806 
 9370790 
 9369774 
 9368758 
 9367740 
 9366722 
 
 9365703 
 9364683 
 9363662 
 9362641 
 9361618 
 9360595 
 
 19359571 
 9358547 
 9357521 
 9356495 
 9355468 
 9354440 
 
 9353412 
 9352382 
 9351352 
 9350321 
 9349289 
 93482 
 
 9347223 
 9346189 
 9345154 
 9344119 
 9343082 
 9342045 
 9341007 
 9339968 
 9338928 
 9337888 
 9336846 
 9335804 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 47 
 46 
 45 
 44 
 43 
 42 
 4: 
 40 
 39 
 J8 
 2,7 
 36 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 21 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 17 
 16 
 15 
 14 
 13 
 12 
 11 
 10 
 9 
 
 n. 
 
 Ri^ 
 
QO Deg. 
 
 LOG. SINES, Sec. 
 
 (fi\ 
 
 Sine Dif. Cosec. Verseds. Tang. Dif. Cotang. Covers. Secant U.j Co^m 
 
 9-5340517 
 9-5343.986 
 9-5347452 
 9-5350915 
 9-5354375 
 9-5357832 
 9-536" 1286 
 
 9-5364737 
 9-5368184 
 9-5371629 
 9-5375070 
 9-5378508 
 9-5381943 
 9-5385375 
 9-5388804 
 9-5392230 
 9-5395653 
 9-5399073 
 9-5402489 
 
 9-5405903 
 9-5409314 
 9-5412721 
 9-5416126 
 5419527 
 9-5422926 
 
 9-5426321 
 9-5429713 
 9-5433103 
 9-5436489 
 9-5439873 
 9-5443253 
 9-5446630 
 9-5450005 
 9-5453376 
 9-5456745 
 9-5460110 
 9-5463472 
 9-5466832 
 9-5470189 
 9-5473642 
 9-5476893 
 9-5480240 
 
 5483585 
 9-5486927 
 9-5490266 
 
 5493602 
 9-5496935 
 9-5500265 
 9-5503592 
 9-5506916 
 9-5510237 
 
 5513556 
 9-5516871 
 9-5520184 
 9-5523494 
 9-5526801 
 9-5530105 
 9-5533406 
 9-5536704 
 
 5539999 
 
 5543292 
 
 3469 
 3466 
 3463 
 3460 
 3457 
 3454 
 3451 
 
 3447 
 3445 
 3441 
 
 3438 
 3435 
 3432 
 
 3429 
 3426 
 3423 
 3420 
 3416 
 3414 
 3411 
 3407 
 3405 
 3401 
 3399 
 3395 
 3392 
 3390 
 3386 
 3384 
 3380 
 3377 
 3375 
 3371 
 3369 
 3365 
 3362 
 3360 
 3357 
 3353 
 3351 
 3347 
 3345 
 3342 
 
 3339 
 3336 
 3333 
 3330 
 3327 
 3324 
 
 3321 
 3319 
 3315 
 3313 
 3310 
 3307 
 3304 
 3301 
 3298 
 3295 
 3293 
 
 10-4659483 
 10-4656014 
 10-4652548 
 10-4649085 
 10-4645625 
 10-4642168 
 10-4638714 
 10-4635263 
 10-4631816 
 10-4628371 
 10-4624930 
 10-4621492 
 10-4618057 
 10-4614625 
 10-4611196 
 10-4607770 
 10-4604347 
 10-4600927 
 10-4597511 
 
 10-4594097 
 10-4590686 
 10-4587279 
 10-4583874 
 10-4580473 
 10-4577074 
 10-4573679 
 10-4570287 
 10-4566897 
 10-4563511 
 10-4560127 
 10-4556747 
 10-4553370 
 10-4549995 
 10-4546624 
 10-4543255 
 10-4539890 
 10-4536528 
 10-4533168 
 10-4529811 
 10-4526458 
 10-4523107 
 10-4519760 
 10-4516415 
 10-4513073 
 10-4509734 
 10-4506398 
 10-4503065 
 10-4499735 
 10-4496408 
 10-4493084 
 10-4489763 
 10-4486444 
 10-4483129 
 10-4479816 
 10-4476506 
 10-4473199 
 10-4469895 
 10-4466594 
 10-4463296 
 10-4460001 
 10-4456708 
 
 •7803705 
 -7810866 
 -7818022 
 -7825171 
 -7832314 
 -7839452 
 -7846583 
 •7853708 
 •7860827 
 -7867940 
 -7875047 
 7882149 
 7889244 
 7896333 
 7903416 
 7910494 
 7917566 
 7924630 
 7931690 
 
 •7938743 
 ■7945791 
 7952833 
 ■7959869 
 ■7966899 
 ■7973923 
 •7980941 
 •7987953 
 ■7994960 
 •8001961 
 •8008956 
 ■8015945 
 ■8022928 
 •8029906 
 -8036877 
 •8043843 
 •8050803 
 •8057758 
 •8064707 
 •8071649 
 •8078587 
 •8085518 
 •8092444 
 •8099364 
 -8106278 
 -8113187 
 •8120090 
 -8126988 
 -8133879 
 -8140765 
 •8147646 
 •8154521 
 -8161390 
 -8168253 
 -8175111 
 -8181964 
 •8188810 
 -8195652 
 -8202487 
 •8209317 
 -8216142 
 •8222961 
 
 5610659 
 •561 4588 
 5618515 
 5622439 
 5626360 
 5630278 
 5634194 
 5638107 
 ■5642018 
 •5645925 
 •5649831 
 •5653733 
 •5657633 
 •5661530 
 •5665424 
 •5669316 
 -5673205 
 -5677091 
 -5680975 
 -5684856 
 -5688735 
 -5692611 
 -5696484 
 -5700355 
 -5704223 
 
 -5708088 
 -5711951 
 -5715811 
 •5719669 
 •5723524 
 •5727377 
 
 •5731227 
 -5735074 
 -5738919 
 •5742761 
 •5746601 
 •5750438 
 5754272 
 ■5758104 
 5761934 
 5765761 
 ■5769585 
 ■5773407 
 ■5777226 
 ■5781043 
 ■5784858 
 ■5788669 
 ■5792479 
 5796286 
 ■5800090 
 •5803892 
 5807691 
 •5811488 
 5815282 
 5819074 
 5822864 
 5826651 
 ■5830435 
 •5834217 
 •5837997 
 ■5841774 
 
 3929 
 3927 
 3924 
 3921 
 3918 
 3916 
 3913 
 3911 
 3907 
 3906 
 3902 
 3900 
 3897 
 3894 
 3892 
 3889 
 3886 
 3884 
 3881 
 3879 
 3876 
 3873 
 3871 
 3868 
 3865 
 3863 
 3860 
 3858 
 3855 
 3853 
 3850 
 
 3847 
 3845 
 3842 
 3840 
 3837 
 3834 
 3832 
 3830 
 3827 
 3824 
 3822 
 3819 
 
 3817 
 3815 
 3811 
 3810 
 3807 
 3804 
 3802 
 3799 
 3797 
 3794 
 3792 
 3790 
 
 3787 
 3784 
 3782 
 3780 
 3777 
 
 10-4389341 
 J 0-4385412 
 10-4381485 
 10-4377561 
 10-4373640 
 10-4369722 
 10-4365806 
 10-4361893 
 10-4357982 
 10-4354075 
 10-4350169 
 10-4346267 
 10-4342367 
 10-4338470 
 10-4334576 
 10-4330684 
 1 0^4326795 
 0-4322909 
 10-4319025 
 10-4315144 
 10-4311265 
 10-4307389 
 10-4303516 
 10-4299645 
 10-4295777 
 10-4291912 
 10-4288049 
 10-4284189 
 10-4280331 
 10-4276476 
 10-4272623 
 10-4268773 
 10-4264926 
 10-4261081 
 10-4257239 
 10^4253399 
 10^4249562 
 
 10-4245728 
 10-4241896 
 10-4238066 
 10-4234239 
 10-4230415 
 10-4226593 
 10-4222774 
 10-4218957 
 10-4215142 
 10-421 1331 
 10-4207521 
 10-4203714 
 10-4199910 
 10-4196108 
 10-4192309 
 10-4188512 
 10-4184718 
 10-4180926 
 10-4177136 
 10-4173349 
 10-4169565 
 10-4165783 
 10-4162003 
 10-4158226 
 
 8182126 
 8180322 
 
 178516 
 8176711 
 
 174905 
 8173098 
 8171291 
 •8169483 
 8167675 
 
 165866 
 ■8164056 
 ■8162246 
 ■8160435 
 
 ■8158624 
 ■8156812 
 ■8155000 
 ■8153187 
 •8151374 
 ■8149560 
 ■8147745 
 •8145930 
 ■8144114 
 •8142298 
 •8140481 
 •8138664 
 •8136846 
 •8135027 
 ■8133208 
 •8131389 
 '8129569 
 •8127748 
 •8125926 
 -8124104 
 -8122282 
 -8120459 
 -8118635 
 •8116811 
 -8114986 
 -8113161 
 -8111335 
 -8109509 
 -8107682 
 -8105854 
 -8104026 
 -8102197 
 -8100368 
 -8098538 
 -8096703 
 -8094877 
 -8093045 
 -8091213 
 -8089380 
 -8087547 
 -8085713 
 -8083879 
 •8082044 
 •8080208 
 •8078372 
 •8076536 
 •8074698 
 •8072860 
 
 10-0270142 
 10-0270602 
 10-0271062 
 10-0271523 
 10-0271984 
 10-0272446 
 10-0272908 
 
 10-0273371 
 10-0273834 
 10-0274297 
 10-0274761 
 10-0275225 
 10-0275690 
 10-0276155 
 10-0276620 
 10-0277086 
 10-0277552 
 10-0278019 
 10-0278486 
 10-0278953 
 10-0279421 
 10-0279890 
 10-0280358 
 10-0280828 
 10-0281297 
 10-0281767 
 10-0282238 
 10-0282709 
 10^0283180 
 10-0283652 
 10-0284124 
 10-0284596 
 10-0285069 
 10-0285543 
 10-0286016 
 10-0286491 
 10-0286965 
 10-0287440 
 10-0287916 
 10-0288392 
 10-0288868 
 10-0289345 
 10-0289822 
 10-0290299 
 10-0290777 
 10-0291256 
 10-0291735 
 10-0292214 
 10-0292694 
 10-0293174 
 10-0293654 
 10-0294135 
 10-0294617 
 10-0290098 
 10-0295581 
 10-0296063 
 10-0296546 
 10-0297030 
 10-0297514 
 10-0297998 
 10-0298483 
 
 46C 
 460 
 461 
 461 
 462 
 462 
 463 
 463 
 463 
 464 
 464 
 465 
 465 
 465 
 466 
 466 
 467 
 467 
 467 
 468 
 469 
 168 
 470 
 469 
 470 
 
 471 
 
 471 
 471 
 472 
 472 
 472 
 
 473 
 474 
 
 473 
 475 
 474 
 475 
 
 476 
 476 
 476 
 477 
 477 
 477 
 478 
 479 
 479 
 479 
 480 
 480 
 480 
 481 
 482 
 481 
 483 
 482 
 
 483 
 484 
 484 
 484 
 
 485 
 
 972985 
 
 9-972893 
 9-972847 
 9-972801 
 9-972755 
 9-972709 
 9-972662 
 9-972616 
 9-972570 
 9-972523 
 9-972477 
 9-972431 
 9-972384 
 9-972338 
 9-972291 
 9-972244 
 9-972198 
 9-972151 
 9-972104 
 9-972057 
 9-972011 
 9-971964 
 9-971917 
 9-971870 
 9-97 1823 
 9-971776 
 9-971729 
 9-971682 
 9-971634 
 9-971587 
 9-971540 
 9-971493 
 9-971445 
 9-971398 
 9-97 13o0 
 9-971303 
 9-971256 
 9-971208 
 9-971160 
 9-971113 
 9-971065 
 9-971017 
 9-97Q970 
 9-970922 
 9-970874 
 970826 
 9-970778 
 9-970730 
 9-970682 
 9-970634 
 9-970586 
 9-970538 
 9-970490 
 9-970441 
 
 9-970393 
 9-970345 
 9-970297 
 9-970248 
 9-970200 
 9-970151 
 
 Cosine 
 
 Dif. 
 
 Secant 
 
 Covers 
 
 Cotang. Dit 
 
 Tani 
 
 Verseds. Cosec. 
 
 D. 
 
 Sine 
 
(29^) 21 Deg. NATURAL SINES, &c. 
 
 Tab. 10. 
 
 Sine 
 
 358167;> 
 
 3:)yyiio 
 
 i5f)lB2r. 
 Jj94540 
 35.07254 
 35999C8 
 3602682 
 3605395 
 3608108 
 3610821 
 3613534 
 3616246 
 3618958 
 3621669 
 3624380 
 3627091 
 3629802 
 3632512 
 3635222 
 3637932 
 3640641 
 3643351 
 3646059 
 3648768 
 3651.476 
 3654184 
 3656891 
 3659599 
 
 Wit. 
 
 1662306 
 3665012 
 3667719 
 3670425 
 3673130 
 3675836 
 367854t 
 3681246 
 3683950 
 3686654 
 3689358 
 3692061 
 3694765 
 3697468 
 3700170 
 3702872 
 3705574 
 3708276 
 3710977 
 3713678 
 
 49 3716379 
 
 12716 
 
 2715 
 
 2715 
 
 2715 
 
 2714 
 
 2714 
 
 2714 
 
 2713 
 
 2713 
 
 2713 
 
 2713 
 
 2712 
 
 2712 
 
 2711 
 
 2711 
 
 2711 
 
 2711 
 
 2710 
 
 2710 
 
 2710 
 
 2709 
 
 2710 
 
 27 
 
 2709 
 
 2708 
 
 2708 
 
 2707 
 
 2708 
 
 2707 
 
 2706 
 
 2707 
 
 2706 
 
 2705 
 
 2706 
 
 2705 
 
 270 
 
 2704 
 
 2704 
 
 2704 
 
 2703 
 
 270 
 
 2703 
 
 2702 
 
 2702 
 
 2702 
 
 2702 
 
 2701 
 
 2701 
 
 2701 
 
 6416321 
 6413605 
 6410890 
 6408175 
 6405460 
 6402746 
 16400032 
 6397318 
 6394605 
 6391892 
 6389179 
 6386466 
 6383754 
 6381042 
 6378331 
 6375620 
 6372909 
 6370198 
 6367488 
 
 Cover.-; 
 
 Cosec. j Tani!,-. 
 
 2-790428 1J3838640 
 2-7883153 3841978 
 2-7862059 3845317 
 2-7840999 3848656 
 2-78 19973.385 1996 
 2-7798932 3855337 
 2-7778024 
 2-7757100 
 2-7736211 
 2-7715355 
 
 2-7694532 
 2-7673744 
 2-7652988 
 
 2-7632267 
 2-7611578 
 2-7590923 
 2-7570301 
 2-7549712 
 2-7529157 
 
 6364778 2-7508634 
 
 6362068 
 6359359 
 6356649 
 6353941 
 6351232 
 6348524 
 6345816 
 6343109 
 6340401 
 6337694 
 6334988 
 6332281 
 6329575 
 6326870 
 6324164 
 6321459 
 6318754 
 6316050 
 6313346 
 6310642 
 6307939 
 6305235 
 6302532 
 6299830 
 6297128 
 6294426 
 6291724 
 6289023 
 6286322 
 
 3719079 
 3721780 
 3724479 
 3727179 
 3729878 
 
 3732577 
 3735275 
 3737973 
 3740671 
 3743369 
 3746066| 
 
 ^700 ^283621 
 ^'^""6280921 
 
 2701 
 2699 
 2700 
 2699 
 2699 
 2698 
 2698 
 2698 
 2698 
 2697 
 
 6278220 
 6275521 
 6272821 
 6270122 
 6267423 
 6264725 
 
 2-7488144 
 2-7467687 
 2-7447263 
 2-7426871 
 2-7406512 
 
 2-7386186 
 2-7365892 
 2-7345630 
 2-7325400 
 2-7305203 
 2-7285038 
 2-7264905 
 2-7244804 
 2-7224735 
 2-7204698 
 2-7184693 
 2-7164719 
 
 2-7144777 
 2-7124866 
 2-7104987 
 2-7085139 
 2-7065323 
 2-7045538 
 2-7025784 
 2-7006061 
 2-6986370 
 2-6966709 
 2-6947079 
 2-6927480 
 2-6907912 
 2-6888374 
 2-6868867 
 2-6849391 
 2-6829945 
 2-6810530 
 2-6791145 
 2-6771790 
 
 6262027 J2-675246, 
 625932912-6733171 
 6256631 12-6713906 
 6253934 2-6694672 
 
 3858679 
 
 3862021 
 
 3865364 
 
 3868708 
 
 3872053 
 
 3875398 
 
 3878744 
 
 3882091 
 
 3885439 
 
 3888787 
 
 3892136 
 
 3895486 
 
 3898837 
 
 3902189 
 
 3905541 
 
 3908894 
 
 3912247 
 
 3915602 
 
 3918957 
 
 3922313 
 
 3925670 
 
 3929027 
 
 3932386 
 
 3935745 
 
 3939105 
 
 3942465 
 
 3945827 
 
 3949189 
 
 3952552 
 
 3955916 
 
 3959280 
 
 3962645 
 
 3966011 
 
 3969378 
 
 3972746 
 
 3976114 
 
 3979483 
 
 3982853 
 
 3986224 
 
 398959 
 
 3992968 
 
 3996341 
 
 3999715 
 
 4003089 
 
 4006465 
 
 4009841 
 
 4013218 
 
 4016596 
 
 4019974 
 
 40233,54 
 
 4026734 
 
 4030115 
 
 4033496 
 
 4036879 
 
 4040262 
 
 2-6050891 
 2-6028258 
 2-6005659 
 2-5983095 
 2-5960564 
 2-5938068 
 2-5915606 
 
 Cotanc^. 
 
 Secant 
 
 (CosinelDif.l Vers. 1 Secant jCotai 
 
 2-5893177 
 2-5870782 
 2-5848421 
 2-5826094 
 2-5803800 
 2-5781639 
 2-5759312 
 2-5737118 
 2-5714957 
 2-5692830 
 2-5670735 
 2-5648674 
 2-5626645 
 2-5604649 
 2-5582686 
 2-5560756 
 2-5538858 
 2-5516992 
 
 2-5495160 
 2-547S359 
 2-5451591 
 2-5429855 
 2-5408151 
 2-5386479 
 2-5364839 
 2-5343231 
 2-5321655 
 2-53001 1 1 
 )278598 
 2-5257117 
 2-5235667 
 2-5214249 
 2-5192863 
 2-5171507 
 2-5150183 
 2-5128890 
 
 2-5107629 
 2-5086398 
 2-5065198 
 2-5044029 
 2-5022891 
 2-5001784 
 
 2-4980707 
 2-4959661 
 2-4938645 
 2-4917660 
 2-4896706 
 2-4875781 
 2-4854887 
 2-4834023 
 2-4813190 
 2-4792386 
 2-4771612 
 2-4750869 
 
 Vers. 
 
 1-0711450 
 
 1-0712647 
 
 1-0713844 
 
 1-0715043 
 
 1-0716244 
 
 1-0717445 
 
 1-0718647 
 
 1-0719851 
 
 1-0721056 
 
 1 -0722262 
 
 1-0723469 
 
 1-0724678 
 
 1-0725887 
 
 1-0727098 
 
 1-0728310 
 
 1-0729523 
 
 1-0730737 
 
 1-0731953 
 
 1-0733170 
 
 1-0734388 
 
 1-0735607 
 
 1-0736827 
 
 1-0738048 
 
 1-0739271 
 
 1-0740495 
 
 1-0741720 
 
 1-0742946 
 
 1-0744173 
 
 1-0745402 
 
 1-0746631 
 
 1-0747862 
 
 1-0749095 
 
 1-0750328 
 
 1-0751562 
 
 1-0752798 
 
 1-0754035 
 
 1-0755273 
 
 1-0756512 
 
 1-0757753 
 
 1-0758995 
 
 1-0760237 
 
 1-0761481 
 
 1-0762727 
 
 1-0763973 
 
 1-0765221 
 
 1-0766470 
 
 Dif, 
 
 Cosine 
 
 Tfiui^. 
 
 0664196 
 
 0665239 
 
 0666282 
 
 0667327 
 
 0668372 
 
 0669418 
 
 067046 
 
 0671512 
 
 067256 
 
 0673610 
 
 0674660 
 
 0675710 
 
 0676762 
 
 0677814 
 
 0678867 
 
 0679921 
 
 0680976 
 
 0682031 
 
 0683088 
 
 0684145 
 
 0685203 
 
 0686261 
 
 0687321 
 
 0688381 
 
 0689442 
 
 0690504 
 
 0691566 
 
 0692630 
 
 0693694 
 
 0694759 
 
 0695824 
 
 0696891 
 
 0697958 
 
 0699026 
 
 0700095 
 
 0701165 
 
 0702235 
 
 0703306 
 
 0704378 
 
 0705451 
 
 0706525 
 
 0707599 
 
 0708674 
 
 0709750 
 
 071082 
 
 0711904 
 
 1-0767720 0712983 
 
 1-0768971 
 
 1-0770224 
 
 1-0771477 
 1-0772732 
 1-0773988 
 
 0714062 
 0715142 
 0716222 
 0717304 
 0718386 
 
 1-0775246,0719469 
 l-0776504'0720553 
 1-0777764 0721637 
 1-0779025 0722723 
 1-0780287 0723809 
 1-0781550 0724896 
 1-0782815 0725984 
 1-0784080 0727072 
 1-0785347 0728161 
 
 Cosec. I Covert! 
 
 1043 
 
 1043 
 
 1045 
 
 1045 
 
 1046 
 
 1047 
 
 1047 
 
 1049 
 
 1049 
 
 1050 
 
 1050 
 
 1052 
 
 1052 
 
 |l053 
 
 1054 
 
 1055 
 
 1055 
 
 1057 
 
 1057 
 
 1058 
 
 1058 
 
 1060 
 
 1060 
 
 1061 
 
 1062 
 
 1062 
 
 1064 
 
 1064 
 
 1065 
 
 1065 
 
 1067 
 
 1067 
 
 1068 
 
 1069 
 
 1070 
 
 1070 
 
 1071 
 
 1072 
 
 1073 
 
 1074 
 
 1074 
 
 1075 
 
 1076 
 
 1077 
 
 1077 
 
 1079 
 
 1079 
 
 1080 
 
 1080 
 
 1082 
 
 1082 
 
 1083 
 
 1084 
 
 108 
 
 1086 
 
 1086 
 1087 
 1088 
 !088 
 1089 
 
 Dif. 
 
 9335804 
 
 9334761 
 
 9333718 
 
 9332673 
 
 9331628 
 
 9330582 
 
 9329535 
 
 9328488 
 
 9327439 
 
 9326390 
 
 9325340 
 
 9324290 
 
 9323238 
 
 9322186 
 
 9321133 
 
 9320079 
 
 9319024 
 
 9317969 
 
 9316912 
 
 9315855 
 
 9314707 
 
 9313739 
 
 9312679 
 
 9311619 
 
 9310558 
 
 9309496 
 
 9308434 
 
 9307370 
 
 9306306 
 
 9305241 
 
 9304176 
 
 9303109 
 
 9302042 
 
 9300974 
 
 9299905 
 
 9298835 
 
 9297765 
 
 9296694 
 
 9295622 
 
 9294549 
 
 9293475 
 
 9292401 
 
 9291326 
 
 9290250 
 
 9289173 
 
 9288096 
 
 9287017 
 
 9285938 
 
 9284858 
 
 9283778 
 9282696 
 9281614 
 9280531 
 9279447 
 9278363 
 
 927727 
 
 927619 
 
 9275104 
 
 9274016 
 
 9272928 
 
 9271839 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 
 35 
 
 34 
 
 33 
 
 32 
 
 31 
 
 30 
 
 29 
 
 28 
 
 27 
 
 26 
 
 25 
 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 
 19 
 
 18 
 
 17 
 
 16 
 
 15 
 
 14 
 
 13 
 
 12 
 
 11 
 
 10 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 
 4 
 
 3 
 
 2 
 
 1 
 
 
 
 Sine 
 
21 Deg. 
 
 LOG. SINES, Sec. 
 
 (i 
 
 Sine Dif.i Coscc. 
 
 10-'i4567()8 
 104453419 
 10-4450132 
 10-4446848 
 10-4443567 
 10-4440289 
 10-4437013 
 10-4433741 
 10-4430471 
 10-4427204 
 
 9-5549868 ''fJ, 
 
 9.5553152;_^;«; 
 
 9-5556433^-^' 
 
 9-55597 lldj;° 
 
 9-5562987g^^^ 
 
 9-55G6259I . 
 
 9-556"9529'^-'" 
 
 9-5572796 
 
 9-5576060 
 
 9-5579321 
 
 9-5582579 
 
 9-5585835 
 
 9-5589088 
 
 9-5592338 
 
 9-5595585 
 
 9-5598829 
 
 9-5602071 
 
 9-5605310 
 
 9-5608546 
 
 9-5611779 
 
 9-5615010 
 
 9-5618237 
 
 9-5621462 
 
 9-5624685 
 
 9-5627904 
 
 9-5631121 
 
 9-5634335 
 
 9-5637546 
 
 9-5640754 
 
 9-5643960 
 
 9-5647163 
 
 9-5650363 
 
 9-5653561 
 5656756 
 
 9-5659948 
 
 9-5663137 
 
 9-5666324 
 
 9-5669508 
 
 9-5672689 
 
 9-5675868 
 679044 
 43|9-5682217 
 449-5685387 
 459-5688555 
 
 46 9-5691721 
 
 47 9-5694883 
 489-5698043 
 49 9-5701200 
 509-5704355 
 5lb-5707506 
 52 
 53 
 54 
 55 
 66 
 67 
 58 
 59 
 60 
 
 / 
 
 9-5710656 
 9-5713802 
 9-5716946 
 
 9-5720087 
 9-5723226 
 9-5726362 
 9-5729495 
 9-5732626 
 9-5735754 
 
 3267 
 3264 
 3261 
 3258 
 3256 
 3253 
 3250 
 3247 
 3244 
 3242 
 3239 
 3236 
 3233 
 323 
 3227 
 3225 
 3223 
 3219 
 3217 
 3214 
 3211 
 3208 
 3206 
 3203 
 3200 
 3198 
 3195 
 3192 
 3189 
 3187 
 3184 
 3181 
 3179 
 3176 
 3173 
 3170 
 3168 
 166 
 3162 
 3160 
 3157 
 3155 
 3151 
 3150 
 3146 
 3144 
 3141 
 3139 
 3136 
 3133 
 3131 
 3128 
 
 Cosi 
 
 ne 
 
 Dif. 
 
 8-8222961 
 
 :^-8229774 
 
 8-8236582 
 
 • 213385 
 
 8-8250182 
 
 8-8256973 
 
 8-8263759 
 
 8-8270539 
 
 8277314 
 
 8-8284084 
 
 10-442394018-8290848 
 
 Verseds. 
 
 10-4420679 
 10-441742 
 
 10-4414165 
 10-4410912 
 10-4407662 
 10-4404415 
 10-4401171 
 10-4397929 
 
 10-4394690 
 
 10-4391454 
 
 10.438822 
 
 10-4384990 
 
 •10-4381763 
 
 10-4378538 
 
 10-437531 
 
 10-4372096 
 
 10-4368879 
 
 10-4365665 
 
 10-4362454 
 
 10-4359246 
 
 10-4356040 
 
 10-4352837 
 
 10-4349637 
 
 10-4346439 
 
 10-4343244 
 
 10-4340052 
 
 10-4336863 
 
 10-4333676 
 
 10-4330492 
 
 10-4327311 
 
 10-4324132 
 
 10-4320956 
 
 10-4317783 
 
 10 4314613 
 
 10-4311445 
 
 10-4308279 
 
 10-4305117 
 
 10-4301957 
 
 10-4298800 
 
 10-4295645 
 
 10-4292494 
 
 10-4289344 
 
 10-4286198 
 
 10-4283054 
 
 10-4279913 
 
 10-4276774 
 
 10-4273638 
 
 10-4270505 
 
 10-4267374 
 
 10-4264246 
 
 8-8297606 
 8-8304360 
 
 8-8311107 
 
 8-8317850 
 
 8-8324587: 
 
 8-8331318 
 
 8-8338044 
 
 8-834476, 
 
 8-8351480 
 
 8-8358190 
 
 3-8364895 
 
 8-8371594 
 
 8-8378288 
 
 8384976 
 
 8-8391660 
 
 8398337 
 
 8405010 
 
 8-8411677 
 
 8418339 
 
 8424996 
 
 8-8431647 
 8-8438294 
 8-8444934 
 8451570 
 8-8458200 
 8-8464826 
 8-8471445 
 8-8478060 
 8-8484670 
 8-8491274 
 8-8497873 
 8-8504467 
 8-8511055 
 8-8517639 
 8-8524217 
 8530790 
 8537358 
 8-8543921 
 
 8-8550479 
 
 8-8557032 
 
 8563579 
 
 8570121 
 
 8-8576659 
 
 8-8583191 
 
 589718 
 
 8-8596240 
 
 8-8602757 
 
 8-8609268 
 
 8-8615775 
 
 8622277 
 
 Secant 
 
 'Vhi\^. 
 
 9-6841774 
 9-6845549 
 9-5849321 
 9-5853091 
 9-5856859 
 9-5860624 
 9-6864386 
 
 9-5868147 
 9-5871904 
 9-5875660 
 9-5879413 
 9-6883163 
 9-5886912 
 
 9-5890657 
 9-5894401 
 9-5898142 
 9-5901881 
 9-5905617 
 9-5909351 
 9-5.913082 
 9-5916812 
 9-5920539 
 9-5924263 
 9-6927986 
 9-5931705 
 
 9-5935423 
 9-5939138 
 9-5942851 
 9-5946561 
 9-5960269 
 9-5953975 
 
 9-595767.9 
 9-5961380 
 9-5966079 
 9-5968776 
 9-5972470 
 9-5976162 
 
 9-5979852 
 9-5983540 
 9-5937225 
 9-5990908 
 9-5994588 
 9-5998267 
 9-6001943 
 9-6005617 
 9-600928.9 
 9-6012958 
 9-6016625 
 9-6020290 
 9-6023953 
 9-6027613 
 9-6031271 
 9-6034927 
 9-6038581 
 9-6042233 
 9-6045882 
 6049529 
 9-6053174 
 9-6056817 
 9-6060457 
 9-6064096 
 
 Dit. Cotansr. Covers 
 
 3776 
 3772 
 3770 
 3768 
 3765 
 3762 
 3761 
 
 3767 
 766 
 3753 
 3750 
 3749 
 3745 
 3744 
 3741 
 3739 
 3736 
 3734 
 3731 
 3730 
 3727 
 3724 
 3722 
 3720 
 371 
 3715 
 3713 
 3710 
 3708 
 3706 
 3704 
 3701 
 3699 
 3697 
 3694 
 3692 
 3690 
 688 
 3685 
 3683 
 ^680 
 3679 
 3676 
 3674 
 3672 
 3669 
 3667 
 3665 
 3663 
 3660 
 3658 
 3656 
 3654 
 3662 
 3649 
 3647 
 3645 
 3643 
 3640 
 3639 
 
 Covers. I Cotang. Dif. 
 
 10-4158226 
 10-4154451 
 10-41^50679 
 10-4146909 
 10-4143141 
 10-4139376 
 10-4135614 
 10-4131853 
 10-4128096 
 10-4124340 
 10-4120587 
 10-4116837 
 10-4113088 
 10-4109343 
 10-4105599 
 10-4101858 
 10-4098119 
 10-4094383 
 10-4090649 
 10-4086918 
 10-4083188 
 10-4079461 
 10-4075737 
 10-4072015 
 10-4068295 
 
 10-4064577 
 J 0-4060862 
 10-4057149 
 10-4053439 
 10-4049731 
 10-4046025 
 10-4042321 
 10-4038620 
 10-4034921 
 10-4031224 
 10-4027530 
 10-4023838 
 10-4020148 
 
 9-8072860 
 9-8071022 
 9:8069183 
 9-8067344 
 9-8065503 
 9-8063663 
 9-8061821 
 
 9-8059980 
 9-8058137 
 9-8056294 
 9-8064451 
 9-8052606 
 9-8050762 
 9-8048916 
 9-8047070 
 9-8045224 
 9-8043377 
 9-8041529 
 9-8039681 
 9-8037832 
 9-8035983 
 9-8034133 
 9-8032283 
 9-8030432 
 9-3028580 
 9-802672P 
 9-802487 
 9-802302 
 9-8021167 
 9-8019313 
 9-8017458 
 9-8016602 
 9-8013746 
 9-8011889 
 9-8010031 
 8008173 
 9-8006315 
 9-8004456 
 
 Secant 
 
 10-4016460 9-8002596 
 I0-4012776!9-8000735 
 10-40090&2j9-7998875 
 10-4-0054l2'9-7997013 
 0-400173319-7995151 
 10-3998057|9-7993288 
 10-39.94383:9-7991425 
 10-39.90711 9-7989561 
 10-398704219-7987697 
 I0-3983375i9-7985832 
 10-3979710 9-7983966 
 
 10-3976047 
 10-3972387 
 10-3968729 
 10-3965073 
 0-3961419 
 10-3957767 
 10-3954118 
 10-3950471 
 10-3946826 
 10-3943183 
 10-3939543 
 10-3935904 
 
 9-7982100 
 9-7980233 
 9-7978366 
 9-7976498 
 9'7974e'29 
 9-7972760 
 9-7970890 
 9-7969020 
 9-7967149 
 9-7965278 
 9-7963406 
 9-7961533 
 
 10 0298483 
 
 10-0298968 
 
 10-0299463 
 
 10-0299939 
 
 10-0300426 
 
 10-0300913 
 
 10-0301400 
 
 10-0301 
 
 10-0302376 
 
 10-0302864 
 
 10-0303363 
 
 10-0303842 
 
 10-0304332 
 
 10-0304823 
 10-0305313 
 10-0305804 
 10-0306296 
 10-0306788 
 10-0307280 
 
 10-0307773 
 10-0308266 
 10-030R759 
 10-0309254 
 10-0309748 
 10-0310243 
 
 10-0310738 
 10-0311234 
 10-0311730 
 10-0312227 
 10-0312724 
 10-0313221 
 10-0313719 
 10-0314217 
 10-0314716 
 10-0316215 
 10-0315714 
 10-0316214 
 10-0316715 
 10-0317216 
 10-0317717 
 10-0318219 
 10-0318721 
 10-0319223 
 
 10-0319726 
 10-0320229 
 10-0320733 
 10-0321237 
 10-0321742 
 10-0322247 
 10-0322753 
 10-0323259 
 10-0323765 
 10-0324272 
 10-0324779 
 10-0325287 
 10-0325795 
 10-0326303 
 10-0326812 
 10-0327321 
 10-0327831 
 10-0328341 
 
 Tan^. I Verseds 
 
 D.I Cosin 
 
 485 
 
 485 
 
 486! 
 
 487! 
 
 48 
 
 48 
 
 488 
 
 488 
 
 488 
 
 489 
 
 489 
 
 490 
 
 491 
 
 490 
 491 
 492 
 492 
 492 
 493 
 493 
 493 
 495 
 494 
 496 
 495 
 496 
 496 
 497 
 497 
 497 
 
 98 
 498 
 499 
 499 
 499 
 
 00 
 501 
 501 
 501 
 502 
 502 
 502 
 503 
 
 503 
 504 
 )04 
 305 
 505 
 506 
 06 
 506 
 ■i07 
 507 
 508 
 508 
 508 
 509 
 509 
 510 
 510 
 
 .osec. 
 
 D 
 
 9-97015 
 9-97010 
 9-97005 
 9 -97000 
 9-96995 
 9 -.96990 
 9-96986' 
 9-^6981 
 9-96976: 
 9-96971 
 9-96966- 
 9-96961, 
 9-969o6> 
 9-96951: 
 9-96,9461 
 9-969411 
 9-96937( 
 996932 
 9-96927: 
 9-96922: 
 9-96917: 
 9-96912' 
 9-96907- 
 9-96902; 
 9-96897; 
 9-968921 
 9-968871 
 9-96882; 
 9-96877; 
 9-96872; 
 9-96867: 
 9-968621 
 9-96857} 
 9-96852! 
 9-96847! 
 9-96842! 
 9-96837! 
 9-96832! 
 
 96827! 
 
 96822! 
 9-968 17e 
 
 96812/ 
 9-96807/ 
 9-96802/ 
 9-967977 
 9-96792f 
 
 )6787£ 
 9-96782E 
 9-9677 7£ 
 9-967724 
 9-967674 
 9-967623 
 9-96757i 
 9-967522 
 9-967471 
 9-96742C 
 9-96736.(] 
 9-9673 Ir; 
 9-967267 
 9-967216 
 9-9671 6£ 
 
 Sine 
 
(299) 2^ T>eS^. NATURAL SINES, &C. 
 
 Tab. 10. 
 
 ' Sine Oif. Coven- 
 
 ,i746066 
 
 ir4876'3 
 ,i7r)1459 
 <7:)4I56' 
 
 {7r)6"«5l^ 
 
 i7r)[)54; 
 
 .i7b"2243 
 J764938 
 37676;i'2 
 3770327 
 ^773021 
 J775714 
 3778408 
 3781101 
 3783794 
 3786'486 
 3789178 
 3791870 
 3794562 
 3797253 
 3799944 
 3802634 
 3805324 
 3808014 
 3810704 
 
 3813393 
 3316082 
 3818770 
 3821459 
 3824147 
 3826834 
 3829522 
 3832209 
 8834895 
 3837582 
 3840268 
 3842953 
 3845639 
 3848324 
 3851008 
 3853693 
 3856377 
 3859060 
 3861744 
 3864427 
 3867110 
 3869792 
 3872474 
 3875156 
 3877837 
 3880518 
 3883199 
 3885880 
 3888560 
 3891240 
 3893919 
 3896598 
 3899277 
 3901955 
 5904633 
 i907311 
 
 Cosin( 
 
 2G97 
 
 >Gi)G 
 
 iG97 
 
 iG9G 
 
 2695 
 
 2696 
 
 269 r 
 
 2694 
 
 269 
 
 2694 
 
 2693 
 
 2694 
 
 2693 
 
 2693 
 
 2692 
 
 2692 
 
 2692 
 
 2692 
 
 2691 
 
 2691 
 
 2690 
 
 2690 
 
 2690 
 
 2690 
 
 2689 
 
 2689 
 2688 
 2689 
 2688 
 2687 
 2688 
 2687 
 2686 
 2687 
 2686 
 2685 
 2686 
 2685 
 2684 
 2685 
 2684 
 2683 
 ->684 
 2683 
 2683 
 2682 
 2682 
 2682 
 2681 
 2681 
 2681 
 2681 
 2680 
 2680 
 2679 
 2679 
 2679 
 2678 
 2678 
 2678 
 
 6253934 
 6251237 
 6248541 
 624584^ 
 6243148 
 6240453 
 6237757 
 6235062 
 6232368 
 6229673 
 6226979 
 6224286 
 6221592 
 
 6218899 
 6216206 
 6213514 
 6210822 
 6208130 
 6205438 
 6202747 
 6200056 
 6197366 
 6194676 
 6191986 
 6189296 
 6186607 
 6183918 
 6181230 
 6178541 
 6175853 
 6173166 
 6170478 
 6167791 
 6165105 
 6162418 
 6159732 
 6157047 
 6154361 
 6151676 
 6148992 
 6146307 
 6143623 
 6140940 
 6138256 
 6135573 
 6132890 
 6130208 
 6127526 
 6124844 
 6122163 
 6119482 
 6116801 
 6114120 
 6111440 
 5108760 
 6106081 
 6103402 
 6100723 
 6098045 
 6095367 
 6092689 
 
 Dif. Vers. 
 
 Cosec. 
 
 2-6694672 
 2-6675467 
 2-6656292 
 2-6637148 
 2-6618033 
 2-6598947 
 2-6579891 
 2-6560865 
 2-6541868 
 2-6522901 
 2-6503962 
 2-6485054 
 2-6466174 
 2-6447323 
 2-6428502 
 2-6409710 
 2-6390946 
 2-6372211 
 2-6353506 
 2-6334828 
 2-6316180 
 2-6297560 
 2-6278969 
 2-6260406 
 2-6241872 
 2-6223366 
 2-6204888 
 2-6186439 
 2-6168018 
 2-6149624 
 2-6131259 
 2-6112922 
 2-6094613 
 2-6076332 
 2-6058078 
 2-6039852 
 2-6021654 
 2-6003484 
 2-5985341 
 5967225 
 2-5949137 
 2-5931077 
 2-5913043 
 
 2-5895037 
 2-5877058 
 2-5859107 
 2-5841182 
 2-5823284 
 2-5805414 
 2-5787570 
 2-5769753 
 2-5751963 
 2-5734199 
 2-5716462 
 2-5698752 
 
 2-5681069 
 
 2-5663412 
 
 2-564578 
 
 2-5628176 
 
 2-5610599 
 
 2-5593047 
 
 Tang. 
 
 4040262 
 4043646 
 4047031 
 4050417 
 4053804 
 4057191 
 4060579 
 4063968 
 4067358 
 4070748 
 4074139 
 4077531 
 4080924 
 4084318 
 4087713 
 4091108 
 4094504 
 4097901 
 4101299 
 
 4104697 
 4108097 
 4111497 
 4114898 
 4118300 
 4121703 
 4125106 
 4128510 
 4131915 
 4135321 
 4138728 
 4142136 
 4145544 
 4148953 
 4152363 
 4155774 
 4159186 
 4162598 
 4166012 
 4169426 
 4172841 
 4176257 
 4179673 
 4183091 
 4186509 
 4189928 
 4193348 
 4196769 
 4200190 
 4203613 
 4207036 
 4210460 
 4213885 
 4217311 
 4220738 
 1224165 
 
 Cotang. 
 
 2-4750869 
 2-4730155 
 2-4709470 
 2-4688816 
 2-4668191 
 2-4647596 
 2-4627030 
 2-4606494 
 2-4585987 
 2-4565510 
 2-4545061 
 2-4524642 
 2-4504252 
 
 •4483891 
 
 •4463559 
 
 •4443256 
 
 •4422982 
 
 •4402736 
 
 ■4382519 
 
 •4362331 
 
 •4342172 
 
 •4322041 
 
 •4301938 
 
 •4281864 
 
 •4261819 
 
 •4241801 
 
 •4221812 
 
 •4201851 
 
 •418191 
 
 •4162013 
 
 •4142136 
 
 -4122286 
 
 •4102465 
 
 •4082672 
 
 •4062906 
 
 •4043168 
 
 •4023457 
 
 •4003774 
 
 •3984118 
 
 3964490 
 
 ■3944889 
 
 3925316 
 
 •3905769 
 
 2-3886250 
 2-3866768 
 2-3847293 
 2-3827855 
 2-3808444 
 2-3789060 
 
 4227594 2 
 4231023 2 
 4234453 2 
 1237884 
 4241316 
 4244748 
 
 •3769703 
 •3750372 
 •3731068 
 3711791 
 ■3692540 
 ■3673316 
 3654118 
 3634946 
 3615801 
 3596683 
 3577590 
 3558524 
 
 Secant Vers. Dif. Cosine 
 
 0785347 
 
 0786616 
 
 0787885 
 
 0789156 
 
 0790427 
 
 0791700 
 
 079297 
 
 0794250 
 
 0795527 
 
 0796805 
 
 0798084 
 
 0799364 
 
 0800646 
 
 0801928 
 
 0803212 
 
 0804497 
 
 0805784 
 
 0807071 
 
 0808360 
 
 0809650 
 
 0810942 
 
 0812234 
 
 0813528 
 
 0814823 
 
 0816119 
 
 0817417 
 
 0818715 
 
 0820015 
 
 0821316 
 
 082261 
 
 0823922 
 
 0825227 
 0826533 
 0827840 
 0829149 
 0830458 
 0831769 
 
 0833081 
 0834395 
 0835709 
 0837025 
 0838342 
 0839661 
 0840980 
 0842301 
 0843623 
 0844947 
 0846271 
 0847597 
 0848924 
 0850252 
 0851582 
 0852913 
 0854246 
 0855578 
 0856912 
 0858248 
 0859585 
 0860924 
 0862263 
 0863604 
 
 Secant Cotan. Tang. Cosec. Covers Dif. Sine 
 
 0728161 
 0729252 
 0730342 
 0731434 
 0732526 
 0733620 
 0734714 
 0735808 
 0736904 
 0738000 
 0739098 
 0740195 
 0741294 
 
 0742394 
 0743494 
 0744595 
 0745697 
 0746799 
 0747903 
 0749007 
 0750112 
 0751218 
 0752324 
 0753432 
 0754540 
 0755649 
 0756758 
 0767869 
 0758980 
 0760092 
 0761205 
 0762318 
 0763433 
 0764548 
 0765664 
 0766780 
 0767898 
 0769016 
 0770135 
 0771255 
 0772376 
 0773497 
 0774619 
 0775742 
 0776S66 
 0777990 
 0779116 
 0780242 
 0781368 
 0782496 
 0783625 
 0784754 
 0785884 
 0787014 
 0788146 
 0789278 
 0790411 
 0791545 
 0792680 
 0793815 
 ^0794951 
 
 1091 
 
 1090 
 
 1092 
 
 1092 
 
 1094 
 
 1094 
 
 1094 
 
 1096 
 
 1096 
 
 1098 
 
 1097 
 
 1099 
 
 1100 
 
 1100 
 
 1101 
 
 1102 
 
 1102 
 
 1104 
 
 1104 
 
 1105 
 
 1106 
 
 1106 
 
 1108 
 
 1108 
 
 1109 
 
 1109 
 
 111 
 
 111 
 
 1112 
 
 1113 
 
 1113 
 
 1115 
 
 1115 
 
 1116 
 
 1116 
 
 1118 
 
 1118 
 
 1119 
 
 1120 
 
 1121 
 
 1121 
 
 1122 
 
 1123 
 
 1124 
 
 1124 
 
 1126 
 
 1126 
 
 1126 
 
 1128 
 
 1129 
 
 1129 
 
 1130 
 
 1130 
 
 1132 
 
 1132 
 
 1133 
 
 1134 
 
 1136 
 
 1135 
 
 1136 
 
 9271839 
 9270748 
 9269658 
 9268566 
 9267474 
 9266380 
 9265286 
 9264192 
 9263096 
 9262000 
 9260902 
 9259805 
 9258706 
 9257606 
 9256506 
 9255405 
 9254303 
 9263201 
 9252097 
 9250993 
 9249888 
 9248782 
 9247676 
 9246568 
 9245460 
 9244351 
 9243242 
 9242131 
 9241020 
 9239908 
 9238796 
 9237682 
 9236567 
 9235452 
 9234336 
 9233220 
 9232102 
 9230984 
 9229865 
 9228746 
 9227624 
 9226503 
 9225381 
 
 9224258 
 9223134 
 9222010 
 9220884 
 9219758 
 9218632 
 
 9217504 
 9216375 
 9215246 
 9214116 
 9212986 
 9211854 
 9210722 
 9209589 
 9208455 
 9207320 
 9206185 
 9206049 
 
22 Deg. 
 
 LOG. SINES, &C. 
 
 (2 
 
 Sine 
 
 9-5735754 
 9-5738880 
 9-5742003 
 9-5745123 
 9-5748240 
 9-5751356' 
 9-5754468 
 
 9-5757578 
 9-576'06'85 
 9-5763790 
 9-5766892 
 9-5769991 
 9-5773088 
 9-5776183 
 9-5779275 
 9-5782364 
 9-5785450 
 9-5788535 
 9-5791616 
 9-5794695 
 9-5797772 
 9-5800845 
 9-5803917 
 9-5806986 
 9-5810052 
 9-5813116 
 9-5816177 
 819236 
 9-5822292 
 9-5825345 
 9-5828397 
 9-58ai445 
 9-5834491 
 9-5837535 
 9-5840576 
 9-5843615 
 9-5846651 
 9-5849685 
 9-5852716 
 9-5855745 
 9-5858771 
 9-5861795 
 5864816 
 9-5867835 
 9-5870851 
 9-5873865 
 9-5876876 
 9-5879885 
 9-5882892 
 9-5885896 
 9-5888897 
 9-5891897 
 9-5894893 
 9-5897888 
 9-5900880 
 
 9-5903869 
 9-5906856 
 
 Dif. 
 
 9-5909841 
 
 9-5912823 
 
 9-5915803 
 
 5918780 
 
 3126 
 3123 
 3120 
 3117 
 3116 
 3112 
 3110 
 
 3107 
 3105 
 3102 
 3099 
 3097 
 3095 
 3092 
 3089 
 3086 
 3085 
 3081 
 3079 
 
 3077 
 
 3073 
 
 3072 
 
 3069 
 
 i066 
 
 3064 
 
 3061 
 
 3059 
 
 3056 
 
 3053 
 
 3052 
 
 3048 
 
 3046 
 
 3044 
 
 3041 
 
 3039 
 
 3036 
 
 3034 
 
 3031 
 
 3029 
 
 3026 
 
 3024 
 
 3021 
 
 3019 
 
 3016 
 
 3014 
 
 3011 
 
 3009 
 
 3007 
 
 3004 
 
 3001 
 
 3000 
 
 2996 
 
 2995 
 
 2992 
 
 2989 
 
 2987 
 
 2985 
 
 2982 
 
 2980 
 
 2977 
 
 Cosec. jVerseds 
 
 10-4264246 8-8622277 
 10-4261120 8-8628774 
 10-425799718-8635265 
 10-4254877 8-8641752 
 10-4251760 8-8648233 
 
 Cosine 
 
 Dif. 
 
 10-4248644 
 10-4245532 
 10-4242422 
 10-4239315 
 10-4236210 
 10-4233108 
 10-4230009 
 10-4226912 
 
 10-4223817 
 
 10-4220725 
 
 10-4217636 
 
 10-4214550 
 
 10-421146 
 
 10-4208384 
 
 10-4205305 
 
 10-4202228 
 
 10-4199155 
 
 10-4196083 
 
 10-4193014 
 
 10-4189948 
 
 10-4186884 
 
 10-4183823 
 
 10-4180764 
 
 10-4177708 
 
 10-4174655 
 
 10-4171603 
 
 10-4168555 
 
 10-4165509 
 
 10-4162465 
 
 10-4159424 
 
 10-4156385 
 
 8-8654710 
 8-8661181 
 8-8667648 
 8-8674109 
 8-8680566 
 8-8687018 
 8-8693464 
 8-8699906 
 
 8706342 
 8-8712774 
 8-8719201 
 8-B725623 
 8-8732040 
 
 8738452 
 
 8-8744859 
 8-8751261 
 8-8757658 
 8-8764051 
 8-8770438 
 8-8776821 
 
 8-8783198 
 
 8789571 
 
 8795939 
 
 8802303 
 
 8-8808661 
 
 8-8815014 
 
 8-8821363 
 
 8-8827707 
 
 8-8834046 
 
 8-8840380 
 
 8-8846710 
 
 Tang. 
 
 10-4153349 8-8853034 
 
 10-4150315 
 10-4147284 
 10-414425^ 
 10-4141229 
 10-4138205 
 10-4135184 
 10-4132165 
 10-4129149 
 10-4126135 
 10-4123124 
 10-4120115 
 10-4117108 
 10-4114104 
 10-4111103 
 10-4108103 
 10-4105107 
 10-4102112 
 10-4099120 
 10-4096131 
 10-4093144 
 10-4090159 
 10-4087177 
 10-4084197 
 10-4081220 
 
 Secant 
 
 8-8859354 
 8-8865669 
 8-8871980 
 8-8878285 
 8-8884586 
 8-8890882 
 8-8897173 
 8-8903460 
 8-8909742 
 8-8916019 
 8-8922291 
 8-8928559 
 8-8934822 
 8-8941080 
 8-8947334 
 8-8953583 
 
 8959827 
 8-896606'6 
 8-8972301 
 8-8978532 
 8-8984757 
 
 8990978 
 8-8997194 
 8-9003406 
 
 9-6064096 
 9r6067732 
 9-6071366 
 9-6074997 
 9-6078627 
 9-6082254 
 9-6085880 
 
 9-6089503 
 9-6093124 
 9-6096742 
 ^6 100359 
 9-6103973 
 9-6107586 
 9-6111196 
 9-6114804 
 9-6ll8409i 
 9-6122013 
 9-6125615 
 9-6129214 
 9-6132812 
 9-6136407 
 9-6140000 
 9-6143591 
 9-6147180 
 9-6150766 
 9-6154351 
 9-6157934 
 9-6161514 
 9-6165093 
 9-6168669 
 9-6172243 
 9-6175815 
 9-6179385 
 9-6182953 
 9-6186519 
 9-6190083 
 6193645 
 9-6197205 
 9-6200762 
 9-6204318 
 9-6207872 
 9-6211423 
 9-6214973 
 9-6218520 
 9-6222066 
 9-6225609 
 9-6229150 
 9-6232690 
 9-6236227 
 9-6239763 
 9-6243296 
 9-6246827 
 9-6250356 
 9-6253884 
 6257409 
 9-6260932 
 9-6264454 
 9-6267973 
 9-6271491 
 9-6275006 
 9-6278519 
 
 Dif. 
 
 3636 
 3634 
 3631 
 3630 
 3627 
 3626 
 3623 
 3621 
 3618 
 3617 
 3614 
 3613 
 3610 
 
 3608 
 3605 
 3604 
 3602 
 3599 
 3598 
 3595 
 3593 
 3591 
 3589 
 3586 
 3585 
 3583 
 3580 
 3579 
 3576 
 3574 
 3572 
 
 3670 
 3568 
 3566 
 3564 
 3562 
 3560 
 
 3557 
 3556 
 3554 
 3551 
 3550 
 3547 
 3546 
 3543 
 3541 
 3540 
 3537 
 3536 
 3533 
 3531 
 3529 
 3528 
 3525 
 3523 
 3522 
 3519 
 3518 
 3515 
 3513 
 
 Cotang. 
 
 10-3935904 
 10-3932268 
 10-3928634 
 10-3926003 
 10-3921373 
 
 Covers. I Secant 
 
 9-7961533 
 9-7959660 
 9-7957786 
 9-7955912 
 9-7954037 
 
 Covers. • Cotang. 
 
 Dif. 
 
 10-3917746 
 10-3914120 
 
 10-3910497 
 
 10-3906876 
 
 10-3903258 
 
 10-3899641 
 
 10-3896027 
 
 10-3892414 
 
 10-3888804 
 
 10-3885196 
 
 10-388159] 
 
 10-3877987 
 
 10-3874385 
 
 10-3870786 
 
 10-38671 
 
 10-3863593 
 
 10-3860000 
 
 10-3856409 
 
 10-3852820 
 
 10-3849234 
 
 10-3845649 
 
 10-3842066 
 
 10-3838486 
 
 10-3834907 
 
 10-3831331 
 
 10-3827757 
 
 10-3824185 
 
 10-3820615 
 
 10-3817047 
 
 10-3813481 
 
 10-3809917 
 
 10-3806355 
 
 10-3802795 
 
 10-3799238 
 
 10-3795682 
 
 10-3792128 
 
 10-3788577 
 
 10-3785027 
 
 10-3781480 
 
 10-3777934 
 
 10-3774391 
 
 10-3770850 
 
 10-3767310 
 
 10-3763773 
 
 10-3760237 
 
 10-3756704 
 
 10-3753173 
 
 10-3749644 
 
 10-3746116 
 
 10-3742591 
 
 10-3739068 
 10-3735546 
 10-3732027 
 10-3728509 
 10-3724994 
 10-3721481 
 
 9-7952161 
 9-7950285 
 9-7948408 
 9-7946531 
 9-7944653 
 9-7942774 
 9-7940895 
 9-7939015 
 9-7937135 
 9-7935254 
 9-7933373 
 9-7931491 
 9-7929608 
 9-7927725 
 9-7925841 
 9-7923956 
 9-7922071 
 9-7920186 
 9-7918300 
 9-7916413 
 9-791452 
 9-7912637 
 9-7910749 
 9-7908859 
 9-7906970 
 9-7905079 
 9-7903188 
 9-7901297 
 9-789940. 
 9-7897512 
 9-7895618 
 9-7893725 
 9-7891830 
 9-7889935 
 9-7888039 
 9-7886143 
 9-7884246 
 9-7882348 
 9-7880450 
 9-7878551 
 9-7876652 
 9-7874752 
 9-7872852 
 9-7870950 
 9-7869049 
 7867146 
 9-7865243 
 9-7863340 
 9-7861436 
 9-7859531 
 9-7857626 
 9-7855720 
 9-7853813 
 9-7851906 
 7849998 
 9-7848090 
 
 lang. 
 
 Verseds. 
 
 10-0328341 
 10-0328852 
 10-0329363 
 10-0329875 
 10-0330386 
 10-0330899 
 10-0331412 
 10-0331925 
 10-0332438 
 10-0332952 
 10-0333467 
 10-0333982 
 10-0334497 
 10-0335013 
 10-0336529 
 10-0336046 
 10-0336563 
 10-0337080 
 10-0337598 
 10-0338116 
 0-0338635 
 10-0339154 
 10-0339674 
 10-0340194 
 10-0340715 
 10-0341236 
 10-0341757 
 10-0342279 
 10-0342801 
 10-0343323 
 10-0343847 
 10-0344370 
 10-0344894 
 10-0345418 
 10-0345943 
 10-0346468 
 10-0346994 
 10-0347520 
 10-0348047 
 10-0348574 
 10-0349101 
 10-0349629 
 10-0350157 
 10-0350686 
 10-0351215 
 10-0351744 
 10-0352274 
 10-035280 
 10-0353335 
 10-0353867 
 10-0354398 
 10-0354931 
 10-0365463 
 10-0356996 
 10-0356530 
 10-0357063 
 10-0357698 
 10-0358132 
 10-0358668 
 10-0359203 
 10-0359739 
 
 D 
 
 511 
 
 511 
 
 512 
 
 511 
 
 513 
 
 513 
 
 513 
 
 513 
 
 514 
 
 515 
 
 515 
 
 515 
 
 516 
 
 516 
 
 517 
 
 517 
 
 5 
 
 518 
 
 51 
 
 619 
 519 
 520 
 520 
 521 
 521 
 521 
 522 
 522 
 522 
 524 
 523 
 524 
 524 
 525 
 525 
 526 
 526 
 527 
 527 
 527 
 528 
 528 
 
 529 
 
 529 
 
 529 
 
 530 
 
 531 
 
 530 
 
 532 
 
 531 
 
 533 
 
 532 
 
 533 
 
 534 
 
 533 
 
 535 
 
 534 
 
 536 
 
 535 
 
 536 
 
 Cosini 
 
 Cosec. 
 
 9-967161 
 
 9-96711^ 
 
 9-96706; 
 
 9-96701: 
 
 9-96696 
 
 9-9669 1( 
 
 9-96685J 
 
 9-96680; 
 
 9-96675( 
 
 9-96670^ 
 
 9-96665^ 
 
 9-96660] 
 
 966551 
 
 9-96649^ 
 
 9-96644/ 
 
 9 -966391 
 
 9-96634S 
 
 9-966292 
 
 9-96624C 
 
 9-966188 
 
 9-966136 
 
 9-966084 
 
 9-966032 
 
 9-965980 
 
 9-966928 
 
 9-965876 
 
 9-965824 
 
 965772 
 
 9-965719 
 
 9-965667 
 
 9-965615 
 
 9-9655631 
 
 9-965510I 
 
 9-965458; 
 
 9-965405; 
 
 9-965353! 
 
 9-965300( 
 
 9-965248( 
 9-965195; 
 9-965 142( 
 9-965089? 
 9-965037] 
 9-964984; 
 9-96493 1< 
 9-964878^ 
 9-964825e 
 9-964772C 
 9-964719^ 
 9-964666t 
 
 9646133 
 9-964560ii 
 
 964506S 
 9-9644537 
 
 9644004 
 9-964347C 
 
 9-9642937 
 9-9642402 
 9-9641868 
 9-9641332 
 9-9640797 
 9-9640261 
 
 D. Sine 
 
(294) 
 
 23 Deg. 
 
 NATURAL SINES, &C. 
 
 Tab. 10. 
 
 12678 
 
 3907311 
 39099891^.77 
 
 3915343i.,g7g 
 J9 18019;: 
 
 ?9-'06'95 
 3923371 
 392G047 
 3928722 
 3931397 
 3931071 
 3936745 
 3939419 
 3942093 
 39447G6 
 5947439 
 ^950111 
 3952783 
 3955455 
 
 Sine |l)il. 
 
 Covers 
 
 3958127 
 396*0798 
 i9634G8 
 3966139 
 
 3968809; 
 
 |2676 
 2676 
 2676 
 2675 
 2675 
 2674 
 2'674 
 2674 
 2674 
 
 2673 
 2673 
 2672 
 2672 
 2672 
 2672 
 
 2671 
 2670 
 2671 
 12670 
 
 3971479 
 
 2670 
 
 2669 
 397414812670 
 
 39768 18!::^^« 
 
 3979486 S 
 
 3982155 ''^^^ 
 
 ^984823 
 
 3987491 
 
 3990158 
 
 3992825 
 
 3995492 
 
 3998158 
 
 4000825 
 
 4003490 
 
 4006156 
 
 4008821 
 
 4011486 
 
 4014150 
 
 4016814' 
 
 4019478 
 
 4022141 
 
 4024804 
 
 4027467 
 
 4030129 
 
 4032791 
 
 4035453 
 
 4038114 
 
 404077 
 
 4043436 
 
 4046096 
 
 4048756 
 
 4051416 
 
 4054075 
 
 4056734 
 
 4059393 
 
 4062051 
 
 4064709 
 
 4067366 
 
 6092689 
 609001 1 
 6087334 
 6084657 
 6081981 
 6079305 
 6076629 
 6073953 
 6071278 
 6068603 
 6065929 
 6063255 
 6060581 
 6057907 
 6055234 
 6052561 
 6049889 
 6047217 
 6044545 
 
 6041873 
 6039202 
 6036532 
 6033861 
 6031191 
 6028521 
 6025852 
 6023182 
 6020514 
 16017845 
 '6015177 
 16012509 
 16009842 
 6007175 
 6004508 
 6001842 
 5999175 
 5996510 
 5993844 
 5991179 
 5988514 
 15985850 
 5983186 
 5980522 
 5977859 
 5975196 
 Jgg2i^972533 
 
 2662 
 2662 
 
 2668 
 2668 
 2667 
 2667 
 26671 
 2666 
 2667 
 2665 
 2666 
 2665 
 2665 
 2664 
 12664 
 2664 
 2663 
 2663 
 2663 
 
 Cosec. 
 
 Tang. 
 
 2661 
 2661 
 12661 
 2660 
 2660 
 2660 
 2659 
 2659 
 2659 
 2658 
 2658 
 2657 
 
 5969871 
 5967209 
 5964547 
 5961886 
 5959225 
 5956564 
 5953904 
 5951244 
 5948584 
 5945925 
 5943266 
 5940607 
 5937949 
 5935291 
 5932634 
 
 2-5593047 
 2-5575521 
 2-5558022 
 2-5540548 
 2-5523101 
 2-5505680 
 2-5488284 
 2-5470915 
 2-5453571 
 2-5436253 
 418961 
 2-5401694 
 2-5384453 
 2-5367238 
 2-5350048 
 2-5332883 
 2-5315744 
 2-5298630 
 2-5281541 
 2-5264478 
 2-5247440 
 2-5230426 
 2-5213438 
 2-5196475 
 2-5179537 
 2-5162624 
 2-5145735 
 2-5128871 
 2-5112032 
 2-5095218 
 2-5078428 
 2-5061663 
 2-5044923 
 2-5028207 
 2-5011515 
 2-4994848 
 2-4978204 
 
 2-4961586 
 2-4944991 
 2-4928421 
 2-4911874 
 2-4895352 
 2-4878854 
 2-4862380 
 2-4845929 
 2-4829503 
 2-4813100 
 2-4796721 
 2-4780366 
 2-4764034 
 2-4747726 
 2-4731442 
 2-4715181 
 2-4698943 
 2-4682729 
 2-4666538 
 2-4650371 
 2-4634227 
 2-4618106 
 2-4602008 
 2-4585933 
 
 4244748 
 4248182 
 4251616 
 4255051 
 4258487 
 4261924 
 4265361 
 4268800 
 4272239 
 4275680 
 4279121 
 4282563 
 4286005 
 
 Co tang. 
 
 Secant 
 
 4289449 
 4292894 
 4296339 
 4299785 
 4303232 
 4306680 
 4310129 
 4313579 
 4317030 
 4320481 
 4323933 
 4327386 
 4330840 
 4334295 
 4337751 
 4341208 
 4344665 
 4348124 
 4351583 
 4355043 
 4358504 
 4361966 
 4365429 
 4368893 
 
 4372357 
 4375823 
 4379289 
 4382756 
 4386224 
 4389693 
 4303163 
 4396634 
 4400105 
 4403578 
 4407051 
 4410526 
 4414001 
 4417477 
 4420954 
 4424432 
 4427910 
 4431390 
 4434871 
 4438352 
 4441834 
 4445318 
 4448802 
 4452287 
 
 2-3558524 
 2-3539483 
 2-3520469 
 2-3501481 
 2-3482519 
 2-3463582 
 2-3444672 
 
 2-3425787 
 
 2-3406'928 
 
 2-3388095 
 
 2-336928 
 
 2-3350505 
 
 2-3331748 
 
 2-3313017 
 
 2-3294311 
 
 2-3275630 
 
 2-3256975 
 
 2-3238345 
 
 2-3219740 
 
 2-3201160 
 
 2-3182606 
 
 2-3164076 
 
 2-3145571 
 
 2-3127092 
 
 2-3108637 
 
 2-3090206 
 
 2-3071801 
 
 2-3053420 
 
 2-3035064 
 
 2-3016732 
 
 2-2998425 
 
 2-2980143 
 
 2-2961885 
 
 2-2943651 
 
 2-2925442 
 
 2-2907257 
 
 2-2889096 
 
 2-2870959 
 
 2-2852846 
 
 2-2834758 
 
 2-2816693 
 
 2-2798653 
 
 2-2780636 
 
 2-2762643 
 
 2-2744674 
 
 2-2726729 
 
 2-2708807 
 
 2-2690909 
 
 2-2673035 
 
 2-2655184 
 
 2-2637357 
 
 2-2619554 
 
 2-2601773 
 
 2-2584016 
 
 2-2566283 
 
 2-2548572 
 
 2-2530885 
 
 2-2513221 
 
 2-2495580 
 
 2-2477962 
 
 2-2460368 
 
 l-0863ki04 
 1-0864946 
 1-0866289 
 1-0867634 
 
 Vers. Dif. 
 
 0794951 
 0796088 
 0797226 
 0798365 
 
 1-0868979 0799504 
 
 1-0870326 0800644 
 
 0801785 
 
 0802927 
 
 1-0871675 
 1-0873024 
 1-0874375 
 1-0875727 
 1-0877080 
 1-0878435 
 1-0879791 
 1-0881148 
 1-0882506 
 1-0883866 
 1-0885226 
 1-0886589 
 1-0887952 
 
 1-0889317 
 0890682 
 1-0892050 
 1-0893418 
 1-0894788 
 1-0896159 
 1-0897531 
 1-0898904 
 1-0900279 
 1-0901655 
 1-0903032 
 1-0904411 
 
 1-0905791 
 
 1-0907172 
 
 1-0908554 
 
 1-0909938 
 
 1-0911323 
 
 1-0912709 
 
 1-0914097 
 
 1-0915485 
 
 1-0916876 
 
 1-091826: 
 
 1-0919659 
 
 1-0921053 
 
 1-0922448 
 
 1-0923845 
 
 1-0925243 
 
 1-0926642 
 
 1-0928042 
 
 1-0929444 
 
 1-0930846 
 1-0932251 
 1-0933656 
 1-0935063 
 1-0936471 
 1-0937880 
 1-0939291 
 1-0940702 
 1-0942116 
 1-0943530 
 1-0944946 
 1 -0946363 
 
 0804069 
 0805212 
 0806356 
 0807501 
 0808647 
 08097.93 
 0810940 
 0812088 
 0813237 
 0814386 
 0815536 
 
 0816687 
 0817839 
 0818991 
 0820145 
 0821299 
 0822454 
 0823609 
 0824766 
 0825923 
 0827081 
 0828240 
 0829399 
 0830560 
 0831721 
 0832882 
 0834045 
 0835209 
 0836373 
 0837538 
 0838703 
 0839870 
 0841037 
 08^42205 
 0843374 
 0844544 
 0845714 
 0846885 
 0848057 
 0849230 
 0850403 
 0851578 
 0852753 
 0853928 
 
 Cosine 
 
 1137 
 1138 
 1139 
 1139 
 1140 
 1141 
 1142 
 1142 
 1143 
 1144 
 1145 
 1146 
 1146 
 
 1147 
 1148 
 1149 
 1149 
 1150 
 1151 
 1152 
 1152 
 1154 
 1154 
 1155 
 1155 
 
 1157 
 1157 
 1158 
 1159 
 1159 
 1161 
 1161 
 1161 
 1163 
 1164 
 1164 
 1165 
 1165 
 1167 
 1167 
 1168 
 1169 
 1170 
 1170 
 1171 
 1172 
 1173 
 1173 
 1175 
 
 1175 
 117 
 
 0855105jJ}77 
 
 !1178 
 1179 
 1180 
 
 0856282 
 0857460! 
 0858639 
 0859819 
 0860999 
 0862181 
 0863363 
 0864545 
 
 1180 
 1182 
 1182 
 1182 
 
 9205049 
 9203912 
 9202774 
 9201635 
 9200496 
 199356 
 9198215 
 9197073 
 919593 
 9194788 
 9193644 
 9192499 
 9191353 
 9190207 
 9189060 
 9187912 
 918676. 
 9185614 
 9184464 
 
 9183313 
 9182161 
 9181009 
 9179855 
 9178701 
 
 177546 
 9176391 
 9175234 
 9174077 
 9172919 
 9171760 
 9170601 
 9169440 
 9168279 
 9167118 
 9165955 
 
 164791 
 9163627 
 9162462 
 9161297 
 9160130 
 9158963 
 9157795 
 9156626 
 9155456 
 9154286 
 9153115 
 9151943 
 9150770 
 9149597 
 9148422 
 9147247 
 9146072 
 9144895 
 9143718 
 9142540 
 9141361 
 9140181 
 9139001 
 9137819 
 9136637 
 9135455 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 \\ 
 
 17 
 16 
 15 
 14 
 13 
 12 
 
 1 
 
 10 
 9 
 8 
 7 
 6 
 5 
 4 
 3 
 2 
 
 Cosine Oif. Vers; 
 
 Secant 
 
 Cotan 
 
 Tang. 
 
 Cosec. 
 
 Covers Dif. 
 
 Sine 
 
 afi 
 
23 Deg. 
 
 LOG. SIISTES, &C. 
 
 (2< 
 
 wSiii 
 
 Dif, 
 
 9-59187aO 
 9-5921755 
 9-5924728 
 
 5927698 
 9-5930666 
 9-5933631 
 9-5936594 
 9-5939555 
 9-5942513 
 9-5945469 
 9-5948422 
 
 5951373 
 9-5954322 
 
 9-5957268 
 9-5960212 
 9-5963154 
 9-5966093 
 9-5969030 
 95971965 
 
 9-5974897 
 9-5977827 
 9-5980754 
 9-5983679 
 9-5986602 
 9-5989523 
 9-5992441 
 9-5995357 
 9-5998270 
 9-600118 
 9-6004090 
 9-6006997 
 9-6009901 
 6012803 
 9-6015703 
 9-6018600 
 9-6021495 
 9-6024388 
 9*6027278 
 9-6030166 
 9-6033052 
 9-6035936 
 6038817 
 6041696 
 9-6044573 
 9-6047448 
 9-6050320 
 9-6053190 
 9-6056057 
 6058923 
 9-6061786 
 6064647 
 6067506 
 9-6070362 
 9-6073216 
 9-6076068 
 
 9-6078918 
 9-G081765 
 9-6084611 
 9-6087454 
 9-6090294 
 9-6093 133 
 
 Cosec. 
 
 2975 
 2973 
 2970 
 2968 
 2965 
 2963 
 2961 
 
 2958 
 
 2956 
 
 2953 
 
 2951 
 
 2949 
 
 2946 
 
 2944 
 
 2942 
 
 2939 
 
 2937 
 
 2935 
 
 2932 
 
 2930 
 
 2927 
 
 2925 
 
 2923 
 
 2921 
 
 2918 
 
 2.916 
 
 2913 
 
 2911 
 
 2909 
 
 2907 
 
 2904 
 
 2902 
 
 2900 
 
 2897 
 
 2895 
 
 2893 
 
 2890 
 
 2888 
 
 2886 
 
 2884 
 
 2881 
 
 2879 
 
 2877 
 
 2875 
 
 2872 
 
 2870 
 
 2867 
 
 2866 
 
 2863 
 
 2861 
 
 2859 
 
 2856 
 
 2804 
 
 2852 
 
 2850 
 
 2847 
 2846 
 2843 
 2840 
 2839 
 
 10-4081220 
 
 10-4078245 
 
 10-4075272 
 
 10-4072302 
 
 10-4069334 
 
 10-4066369 
 
 10-4063406 
 
 10-4060445 
 
 10-4057487 
 
 10-405453 
 
 10-4051578 
 
 10-4048627 
 
 10-4045678 
 
 10-4042732 
 
 10-4039788 
 
 10-4036846 
 
 Verseds. 
 
 8-9003406 
 9009613 
 8-9015816 
 8-9022013 
 8-9028207 
 8-9034395 
 8-9040579 
 8-9046759 
 8-9052934 
 8-9059104 
 8-9065270 
 8-9071431 
 8-9077588 
 8-9083740 
 8-9089887 
 9096030 
 
 Tanir. 
 
 Dif. 
 
 10-4033907 8-9102169 
 
 10-4030970 
 10-4028035 
 10-4025103 
 10-4022173 
 10-4019246 
 10-4016321 
 10-4013398 
 10-4010477 
 10-4007659 
 10-4004643 
 10-4001730 
 10-3998819 
 10-3995910 
 10-3993003 
 10-3990099 
 10-3987197 
 10-3984297 
 10-3981400 
 10-3978505 
 
 10-3975612 8-9223999 
 
 10-3972722 
 10-3969834 
 10-3966948 
 10-3964064 
 10-3961183 
 10-3958304 
 
 10-3956427 
 10-3952552 
 10-3949680 
 10-3946810 
 10-3943943 
 10-3941077 
 10-3938214 
 10-3935353 
 10-3932494 
 10-3929638 
 10-3926784 
 10-3923932 
 10-3921082 
 10-3918235 
 10-3915389 
 10-3912546 
 10^3909706 
 10-3906867 
 
 8-9108303 
 8-9114432 
 
 8-9120557 
 
 8-9126678 
 
 8-9132794 
 
 8-9138905 
 
 9145012 
 
 9151115 
 
 8-9157213 
 
 9163306 
 
 8-9169396 
 
 8-9175480 
 
 9181561 
 
 9187636 
 
 9193708 
 
 8-9199775 
 
 9205837 
 
 8-9211895 
 
 9217949 
 
 8-9230043 
 8-9236084 
 8-9242120 
 8-9248152 
 8-9254179 
 9260202 
 8-9266221 
 8-9272235 
 8-9278245 
 8-9284251 
 8-9290252 
 8-9296249 
 8-9302242 
 8-9308231 
 •9314215 
 -9320194 
 8-9326170 
 8-9332141 
 
 8-9338108 
 8-9344070 
 9350029 
 8-9355983 
 8-9361933 
 8-9367878 
 
 9-6278519 
 9-6282031 
 9-6285540 
 9-6289048 
 9-6292553 
 9-6296057 
 9-6299558 
 9-6303058 
 9-6306556 
 9-6310052 
 9-6313545 
 9-6317037 
 9-6320527 
 9-6324015 
 9-6327501 
 9-6330985 
 9-6334468 
 6337948 
 9-6341426 
 
 6344903 
 9-6348378 
 9-6351850 
 9-6355321 
 9-6358790 
 9-6362257 
 9-6355722 
 9-6369185 
 9-6372646 
 9-6376106 
 
 6379563 
 9-6383019 
 9-6386473 
 9-6389925 
 9-6393375 
 9-6396823 
 9-6400269 
 9-6403714 
 9-6407156 
 9-6410597 
 9-6414036 
 9-6417473 
 9-6420908 
 9-6424342 
 9-6427773 
 9-6431203 
 9-6434631 
 9-6438057 
 9-6441481 
 9-6444903 
 9-6448324 
 9-6451743 
 9-6455160 
 9-6458575 
 9-6461988 
 9-6465400 
 9-6468810 
 9-6472217 
 9-6475624 
 9-6479028 
 9-6482431 
 9-6485831 
 
 3512 
 3509 
 3508 
 3505 
 3504 
 3501 
 3500 
 3498 
 3496 
 3493 
 3492 
 3490 
 3488 
 3486 
 3484 
 3483 
 3480 
 3478 
 
 3475 
 3472 
 3471 
 469 
 3467 
 3465 
 3463 
 3461 
 3460 
 3457 
 3456 
 3454 
 3452 
 3450 
 3448 
 3446 
 3445 
 3442 
 3441 
 3439 
 3437 
 3435 
 3434 
 3431 
 3430 
 3428 
 3426 
 3424 
 3422 
 3421 
 3419 
 3417 
 3415 
 3413 
 3412 
 3410 
 3407 
 3407 
 3404 
 3403 
 3400 
 
 Cotang. 
 
 10-3721481 
 10-3717969 
 10-3714460 
 10-3710952 
 10-3707447 
 10-3703943 
 10-3700442 
 10-3696942 
 10-3693444 
 10-3689948 
 10-3686455 
 10-3682963 
 10-3679473 
 10-3675985 
 10-3672499 
 10-3669015 
 10-3665532 
 10-3662052 
 10-3658574 
 
 10-3655097 
 10-3651622 
 10-3648150 
 10-3644679 
 10-3641210 
 10-3637743 
 10-3634278 
 10-3630815 
 10-3627354 
 10-3623894 
 10-3620437 
 10-3616981 
 
 10-3613527 
 10-3610075 
 10-3606625 
 10-3603177 
 10-3599731 
 10-3596286 
 10-3592844 
 10-3589403 
 10-3585964 
 10-3582527 
 10-3579092 
 10-3575658 
 
 10-3572227 
 10-3568797 
 10-3565369 
 10-3561943 
 10-3558519 
 10-3555097 
 10-3551676 
 10-3548257 
 10-3544840 
 10-3541425 
 10-3538012 
 10-3534600 
 10-3531190 
 10-3527783 
 10-3524376 
 10-3520972 
 10-3517569 
 10-3514169 
 
 Covers. 
 
 ' Cosine Dif. Secant Covers. Cotaug.Dif. Tang. Verseds. Cosec. D. Sine 
 
 9-7848090 
 9-7846181 
 9-7844271 
 
 7842361 
 9-7840450 
 9-7838539 
 9-7836627 
 9-7834715 
 9-7832801 
 9-7830888 
 9-7828973 
 9-7827058 
 9-7825143 
 9-7823226 
 9-7821309 
 9-7819392 
 9-7817474 
 9-7815555 
 9-7813636 
 9-7811716 
 9-7809796 
 9-7807875 
 9-7805953 
 
 7804031 
 9-7802108 
 9-7800184 
 9-7798260 
 9-7796335 
 9-7794410 
 9-7792484 
 9-7790558 
 9-7788630 
 9-7786703 
 9-7784774 
 9-7782845 
 9-7780916 
 9-7778985 
 9-7777055 
 9-7775123 
 9-7773191 
 9-7771258 
 9-7769325 
 9-7767391 
 
 9-7765457 
 
 9-7763521 
 
 9-7761586 
 
 9-7759649 
 
 9-7757712 
 
 9-7755775 
 
 9-7753836 
 
 9-7751898 
 
 9-77^995% 
 
 9-774801 
 
 9-7746077 
 
 9-7744136 
 
 9-7742194 
 
 9-7740252 
 
 9-7738308 
 
 9-7736365 
 
 9-7734420 
 
 9-7732475 
 
 Secant i). Cosint 
 
 10-0359739 
 10-0360276 
 10-0360813 
 10-0361350 
 10-036188^ 
 10-0362426 
 10-0362964 
 10-0363504 
 10-0364043 
 10-0364583 
 10-0365123 
 10-0365664 
 10-0366205 
 10-0366747 
 10-0367289 
 10-0367832 
 10-0368375 
 10-0368918 
 10-0369462 
 10-0370006 
 10-0370551 
 10-0371096 
 10-0371642 
 10-0372188 
 10-0372734 
 
 10-0373281 
 10-0373828 
 10-0374376 
 10-0374924 
 10-0375473 
 10-0376022 
 
 10-0376572 
 10-0377122 
 10-0377672 
 10-0378223 
 10-0378774 
 10-0379326 
 10-0379878 
 10-0380431 
 10-0380984 
 10-0381537 
 10-0382091 
 10-0382645 
 10-0383200 
 10-0383755 
 10-0384311 
 10-0384867 
 10-0385424 
 10-0385980 
 10-0386538 
 10-0387096 
 10-0387654 
 10-0388213 
 10-0388772 
 10-0389332 
 10-0389892 
 10-0390452 
 10-0391013 
 10-0391574 
 10-0392136 
 10-0392698 
 
 537 
 537 
 537 
 538 
 538 
 538 
 540 
 539 
 540 
 540 
 541 
 541 
 542 
 
 542 
 543 
 543 
 543 
 544 
 544 
 545 
 545 
 546 
 546 
 546 
 547 
 547 
 548 
 548 
 549 
 549 
 550 
 550 
 550 
 551 
 551 
 552 
 552 
 553 
 553 
 553 
 554 
 554 
 555 
 555 
 556 
 556 
 557 
 556 
 558 
 558 
 558 
 559 
 559 
 560 
 560 
 560 
 561 
 561 
 562 
 562 
 
 9-961026 
 9-963972 
 9.963918 
 9-963865 
 963811 
 9-963757 
 9-963703 
 
 9-963649 
 9-963595 
 9-963541 
 9-963487 
 963433 
 9-9e^'i79 
 9-963325 
 9-963271 
 9-963216 
 9-963162 
 9-963108 
 9-963053 
 9-962999 
 9-962944 
 9-96289C 
 9-96283S 
 9-962781 
 9-96272C 
 
 9-962671 
 9-962617 
 9-962565 
 9-962507 
 9-962452 
 9-96239? 
 9-96234Si 
 9-962287 
 9-96223'J 
 9-962177 
 9-962122 
 9-96206? 
 9-962012 
 9-961956 
 9-961901 
 9-961846 
 9-961 79C 
 9 96173^ 
 9-96l68{ 
 9-96162^ 
 9-96l56f 
 9-96151C 
 9-96145; 
 9-96140i 
 
 9-96 134( 
 9-96 129( 
 9-96123^ 
 9-961 17{ 
 9-961 12i 
 9-96l06( 
 9-96l01( 
 9-96095' 
 9-96089! 
 9-96084: 
 9-96078( 
 9-96073( 
 
(oQG) 24 Peg, NATURAL SKVES, &C. 
 
 Tab. 10. 
 
 4007360 
 4070024 
 4072081 
 4075,137 
 4077993 
 4080649 
 
 4083305; 
 
 Sine 
 
 Dif. 
 
 2658 
 2657 
 •^656 
 2056 
 2656 
 2650 
 
 4085960] 
 4088615 
 4091269 
 4093923 
 4096577 
 4099230 
 
 4101883 
 4104536 
 4107189 
 4109841 
 4112492 
 4115144 
 4117795 
 4120445 
 4123096 
 4125745 
 4128395 
 4131044 
 4133693 
 4136342 
 4138990 
 4141638 
 4144285 
 4146932 
 
 4149579 
 4152226 
 4154872 
 4157517 
 4160163 
 4162808 
 4165453 
 4168097 
 4170741 
 4173385 
 4176028 
 4178671 
 4181313 
 4183956 
 4186597 
 4189239 
 4191880 
 4194521 
 4197161 
 4199801 
 4202441 
 4205080 
 4207719 
 4210358 
 4212996 
 4215634 
 4218272 
 4220909 
 4223546 
 4226183 
 
 2655 
 
 2655 
 
 2654 
 
 2654 
 
 2654 
 
 2653 
 
 2653 
 
 2653 
 
 2653 
 
 2652 
 
 2651 
 
 2652 
 
 2651 
 
 2650 
 
 2651 
 
 2649 
 
 2650 
 
 2649 
 
 2649 
 
 2649 
 
 2648 
 
 2648 
 
 2647 
 
 2647 
 
 2647 
 
 2647 
 
 2646 
 
 2645 
 
 2646 
 
 2645 
 
 2645 
 
 2644 
 
 2644 
 
 2644 
 
 2643 
 
 2643 
 
 2642 
 
 2643 
 
 2641 
 
 2642 
 
 2641 
 
 2641 
 
 2640 
 
 2640 
 
 2640 
 
 2639 
 
 2639 
 
 Covers 
 
 Co: 
 
 sine 
 
 5932034 
 5929976 
 5927319 
 5924603 
 5922007 
 5919351 
 5916695 
 
 914040 
 5911385 
 5908731 
 5906077 
 5903423 
 
 900770 
 
 5898117 
 895464 
 5892811 
 5890159 
 5887508 
 5884856 
 5882205 
 587955i> 
 5876904 
 5874255 
 5871605 
 5868956 
 
 5866307 
 
 5863658 
 
 5861010 
 
 5858362 
 
 5855715 
 
 5853068 
 
 5850421 
 
 5847774 
 
 5845128 
 
 5842483 
 
 583983 
 
 5837192 
 
 5834547 
 5831903 
 5829259 
 5826615 
 5823972 
 5821329 
 
 5818687 
 5816044 
 5813403 
 5810761 
 5808120 
 5805479 
 5802839 
 5800199 
 5797559 
 5794920 
 2g3Q 5792281 
 2638^789642 
 5787004 
 5784366 
 5781728 
 5779091 
 5776454 
 5773817 
 
 2-4585933 
 2-4569882 
 2-4553853 
 2-4537848 
 2-4521865 
 2-4505905 
 2-4489968 
 
 Cosec. iTang. Cotang 
 
 445228712-2460308 
 4455773 2-2442796 
 4459260 2-2425247 
 
 2-4474054 
 2-4458163 
 2-4442294 
 2-4426448 
 2-4410624 
 2-4394823 
 
 2638 
 2638 
 2637 
 2637 
 2637 
 
 Dif. 
 
 2-4379045 
 2-4363289 
 2-4347555 
 2-4331844 
 2-4316155 
 2-4300489 
 2-4284844 
 2-4269222 
 2-4253622 
 2-4238044 
 2-4222488 
 2-4206954 
 
 2-4191442 
 2-4175952 
 2-4160484 
 2-4145038 
 2-4129613 
 2-4114210 
 2-4098829 
 2-4083469 
 2-4068132 
 2-4052815 
 2-4037520 
 2-4022247 
 2-40O6995 
 2-3991764 
 2-3976555 
 2-3961367 
 2-3946201 
 2-3931055 
 2-3915931 
 2-3900828 
 2-3885746 
 2-3870685 
 2-3855645 
 2-3840625 
 
 2-3825627 
 2-3810650 
 2-3795694 
 2-3780758 
 2-3765843 
 2-3750949 
 2-3736075 
 2-3721222 
 2-3706390 
 2-3691578 
 2-3676787 
 2-3662016 
 
 4462747 
 4466236 
 4469726 
 4473216 
 4470708 
 4480200 
 4483693 
 4487187 
 4490682 
 4494178 
 4497675 
 4501173 
 
 2-2407721 
 2-2390218 
 2-2372738 
 2-2355280 
 2-2337845 
 2-2320433 
 2-2303043 
 2-2285676 
 2-2268331 
 2-2251009 
 2-2233709 
 2-2210432 
 
 4504672 2-2199177 
 4508171 2-2181944 
 4511672 2-2164733 
 
 Vers. 
 
 4515173 
 
 4518676 
 
 4522179 
 
 4525683 
 
 4529188 
 
 4532094 
 
 4536201 
 
 4539709 
 
 4543218 
 
 4546728 
 
 4550238 
 
 4553750 
 
 4557263 
 
 4560776 
 
 4564290 
 
 4567806 
 
 4571322 
 
 4574839 
 
 4578357 
 
 4581877 
 
 4585397 
 
 4588918 
 
 4592439 
 
 4595962 
 
 4599486 
 
 460301 
 
 4606537 
 
 4610063 
 
 4613591 
 
 4617119 
 
 4620649 
 
 4624179 
 
 4627710 
 
 4631243 
 
 Secant 
 
 5>ecant 
 
 2-2147545 
 2-2130379 
 2-2113234 
 2-2096112 
 2-2079012 
 2-2061934 
 2-2044878 
 2-2027843 
 2-2010831 
 2-1993840 
 2-1976871 
 2-1959923 
 2-1942997 
 2-1926093 
 2-1909210 
 2-1892349 
 2-1875510 
 2-1858691 
 2-1841894 
 
 2-1825119 
 
 2-1808364 
 
 2-1791631 
 
 2-1774920 
 
 2-1758229 
 
 2-1741559 
 
 2-172491 
 
 2-1708283 
 
 2-1691677 
 
 2-1675091 
 
 2-1658527 
 
 2-1641983 
 
 2-1625460 
 
 2-1608958 
 
 2-1592476 
 
 1-0946303 
 1-0947781 
 1-0949201 
 1-0950622 
 1-0952044 
 1-0953467 
 1-0954892 
 
 1-0956318 
 
 1-0957746 
 
 1-0959174 
 
 1-0960604 
 
 1-0962036 
 
 1-0963408 
 
 1-0964902 
 
 1-0966337 
 
 1-0967774 
 
 l-0969212i0883575 
 
 1-097065 110884771 
 
 1-0972091 10885967 
 
 Vers. 
 
 Dif. C 
 
 0864545 
 0865729 
 0866913 
 0868098 
 0809284 
 0870471 
 0871658 
 0872846 
 0874035 
 0875225 
 0876416 
 0877607 
 0878799 
 0879992 
 0381185 
 0882380 
 
 4634776 2-1576015 
 4638310 2-1559575 
 4641845 2.1543156 
 
 4645382 2-1526757 
 
 4648919 
 4652457 
 4655996 
 4659536 
 466307 7 
 
 Cotan. 
 
 2-1510378 
 2-1494021 
 2-1477683 
 2-1461366 
 2-1445069 
 
 Tang. 
 
 1-0973533 
 1-0974976 
 1-0976420 
 1-0977866 
 1-0979313 
 J -0980761 
 1-0982211 
 1-0983662 
 1-0985114 
 1-0986568 
 1-0988023 
 1-0989479 
 1-0990936 
 1-0992395 
 1-0993855 
 1-0995317 
 1-0996779 
 1-0998243 
 1-0999709 
 1-1001175 
 1-1002644 
 1-1004113 
 1-1005584 
 1-1007056 
 
 M008529 
 1-1010004 
 1-1011480 
 1-1012957 
 1-1014436 
 1-1015916 
 
 1-1017397 
 1-1018879 
 1-1020363 
 1-1021849 
 1-1023335 
 1-1024823 
 
 1-1026313 
 1-1027803 
 1-1029295 
 1-1030789 
 1-1032283 
 1-1033 
 
 0887165 
 
 0888363 
 
 0889562 
 
 0890762 
 
 0891962 
 
 0893163 
 
 0894365 
 
 0895568 
 
 0896772 
 
 0897976 
 
 08991 
 
 0900387 
 
 Cosec. 
 
 0901594 
 0902801 
 0904010 
 0905219 
 0906428 
 0907639 
 0908850 
 0910062 
 0911275 
 0912489 
 0913703 
 0914918 
 0916134 
 0917351 
 0918568 
 0919786 
 0921005 
 0922225 
 0923446 
 0924667 
 0925889 
 0927112 
 0928335 
 0929560 
 0930785 
 0932011 
 0933238 
 0934465 
 0935693 
 0936922 
 
 ..osinc 
 
 1184 
 1184 
 1185 
 1186 
 1187 
 1187 
 1188 
 1189 
 190 
 1191 
 1191 
 1192 
 1193 
 1193 
 1195 
 1195 
 1196 
 1196 
 1198 
 1198 
 1199 
 1200 
 1200 
 1201 
 1202 
 
 1203 
 1204 
 1204 
 1205 
 1206 
 1207 
 1207 
 1209 
 1209 
 1209 
 1211 
 1211 
 1212 
 1213 
 1214 
 1214 
 1215 
 1216 
 1217 
 1217 
 1218 
 1219 
 1220 
 1221 
 1221 
 1222 
 1223 
 1223 
 1225 
 1225 
 1226 
 1227 
 1227 
 1228 
 1229 
 
 9135455 
 9134271 
 9133087 
 9131902 
 9130716 
 9129529 
 9128^42 
 
 9127154 
 9125965 
 9124775 
 9123584 
 9122393 
 912120 
 
 9120008 
 9118815 
 9117620 
 9116425 
 9115229 
 9114033 
 9112835 
 9111637 
 9110438 
 9109238 
 9108038 
 9106837 
 9105635 
 9104432 
 9103228 
 9102024 
 9100819 
 9099613 
 
 9098406 29 
 
 Covers 
 
 9097199 
 9095990 
 9094781 
 9093572 
 9092361 
 9091150 
 9089938 
 9088725 
 9087511 
 9086297 
 9085082 
 9083866 
 9082649 
 9081432 
 9080214 
 9078995 
 9077775 
 9076554 
 9075333 
 9074111 
 9072888 
 9071665 
 9070440 
 9069215 
 9067989 
 9066762 
 9065535 
 9064307 
 9063078 
 
 Dif 
 
 Sine 
 
 De<2. 65. 
 
24 DecT. 
 
 LOG. Sr?N)ES, &c. 
 
 (2 
 
 Sine 
 
 9-809 ^ I HH 
 9-6095969 
 9-609dS0:i 
 9-6101635 
 9-6104465 
 9-6107293 
 9-6nO!18 
 
 9-6112941 
 9-6115762 
 9-6118580 
 6121397 
 9-6124211 
 9-6127023 
 9-6129833 
 9-6132641 
 .9-6135446 
 9-6138250 
 9-6141051 
 9-6143850 
 
 9-6146647 
 9-6149441 
 9-6152234 
 9-6155024 
 9-6157812 
 96160599 
 9-6163382 
 J 66164 
 
 Dif. 
 
 2836 
 
 2834 
 
 28. 
 
 2830 
 
 2828 
 
 2825 
 
 2823 
 
 2821 
 
 2818 
 
 2817 
 
 2814 
 
 2812 
 
 2810 
 
 2808 
 2805 
 2804 
 2801 
 2799 
 2797 
 2794 
 2793 
 2790 
 2788 
 2787 
 2783 
 
 2782 
 
 61717211;^^^ 
 9-^? 1 7^4961- '1^ 
 9-6177270^^'* 
 
 9-6180041 
 6182809 
 9-6185576 
 9-6188341 
 9-6191103 
 9-6193864 
 9-6196622 
 9-619937 
 9-6202132 
 9-6204884 
 9-6207634 
 9-6210382 
 
 9-6213127 
 9-6215871 
 9-6218612 
 9-6221351 
 
 622408B 
 9-6226824 
 9-6229557 
 9-6232287 
 9-6235016 
 9-6237743 
 9-6240468 
 9-6243! 90 
 
 6245911 
 9-6248629 
 9-6251346 
 9-6254060 
 9-6256772 
 9-6259483 
 
 Cosec. 
 
 Cosine 
 
 2771 
 
 2768 
 2767 
 2765 
 2762 
 2761 
 2758 
 
 2756 
 2754 
 2752 
 2750 
 2748 
 2745 
 2744 
 2741 
 2739 
 2737 
 2736 
 2733 
 2730 
 2729 
 2727 
 2725 
 2722 
 2721 
 
 2718 
 f7l7 
 2714 
 2712 
 2711 
 
 Dif. 
 
 i 0-3906867 
 10-3904031 
 10-3901197 
 10-3898365 
 10-3895535 
 10-3892707 
 10-3889882 
 
 10-3887059 
 10-3884238 
 10-3881420 
 10-3878603 
 10-3876789 
 10-3872977 
 10-3870167 
 10-3867359 
 10-3864554 
 10-3861750 
 10-3868949 
 10-3856150 
 10-3853353 
 10-3850559 
 10-]847766 
 10-3844976 
 10-3842188 
 i 0-3839401 
 
 10-3836618 
 0-3833836 
 10-3831056 
 10-3828279 
 10-3825504 
 10-3822730 
 10-3819959 
 10-38 1 71S ! 
 10-3814424 
 10-3811659 
 10-3808897 
 10-3806136 
 10-3803378 
 10-3800622 
 10-3797868 
 10-3795116 
 10-3792366 
 10-3789618 
 10-3786873 
 KK3784129 
 10-3781388 
 10-3778649 
 10-3775912 
 10-3773176 
 10-3770443 
 10-3767713 
 10-3764984 
 10-3762257 
 10-3759532 
 10-3756810 
 10-3754089 
 10-3751371 
 10-3748654 
 10-3745940 
 10-3743228 
 10-3740517 
 
 Verseds. 
 
 8-9367878 9-6485831 
 
 Secant 
 
 8-9373819 
 8-9379756 
 8-9385689 
 8-9391618 
 8-9397542 
 9403462 
 
 8-9409378 
 8-9415290 
 8-9421197 
 8-9427101 
 8-9433000 
 8-9438895 
 8-9444785 
 8-9450672 
 8-9456554 
 8-9462433 
 8-9468307 
 9474177 
 8-9480042 
 8-9485904 
 8-9491761 
 8-9497615 
 8-9503464 
 8-9509309 
 
 -9515150 
 8-952098/ 
 8-9526820 
 8-9532648 
 
 9538473 
 8-9544294 
 8-9550110 
 8-9555922 
 8-9561731 
 8-9567535 
 8-9573335 
 8-9579131 
 8-9584923 
 8-9590711 
 8-9596495 
 8-9602275 
 8-9608051 
 8-9613823 
 8-9619591 
 8-9625355 
 8-9631114 
 8-9636870 
 8-9642622 
 8-9S48370 
 
 9654114 
 8-9659854 
 8-9665590 
 8-9671322 
 8-9677050 
 8-9682774 
 8-9688494 
 
 •9694210 
 8-9699922 
 8-9705630 
 8-9711335 
 8-9717035 
 
 Tang. 
 
 Dif 
 
 Covers. 
 
 9-6489230 
 9-6492628 
 9-6496023 
 9-6499417 
 9-6502809 
 9-6506199 
 
 9-6509587 
 9-6512974 
 D-65 16359 
 9-6519742 
 9-6523123 
 9-6526503 
 9-6529881 
 9-6533257 
 9-6536631 
 9-6540004 
 6543375 
 9-6546744 
 9-6550112 
 9-6553477 
 9-6556341 
 9-6560204 
 9-6563564 
 9-6566923 
 9-6570280 
 9-6573636 
 9-6676989 
 9-6580341 
 9-6583692 
 9'6587041 
 
 9-6690387 
 9-6593733 
 9-659707( 
 6600418 
 9-6603758 
 9-6607097 
 9-6610434 
 9-6613769 
 9-6617103 
 9-6620434 
 9-6623765 
 9-6627093 
 9-6630420 
 9-6633745 
 9-6637069 
 9-664039! 
 9-6643711 
 9-6647030 
 9-6650346 
 9-6653662 
 9-66^397o 
 9-6660288 
 9-6663598 
 9-6666907 
 9-6670214 
 9-6673519 
 9-667682rf 
 9-6680126 
 9-6683426 
 9-668672 
 
 Cotang. 
 
 3399 
 3398 
 3395 
 3394 
 3392 
 3390 
 ?388 
 
 3387 
 3385 
 3383 
 3381 
 3380 
 3378 
 3376 
 3374 
 3373 
 3371 
 3369 
 3368 
 3365 
 64 
 3363 
 3360 
 3359 
 3357 
 3356 
 3353 
 3352 
 3351 
 3349 
 3346 
 3346 
 3343 
 3342 
 3340 
 3339 
 3337 
 3335 
 ^334 
 3331 
 3331 
 3328 
 3327 
 3325 
 3324 
 3322 
 V320 
 3319 
 i3i(, 
 3316 
 3313 
 331.'5 
 3310 
 3309 
 3307 
 3305 
 3304 
 3303 
 3300 
 3299 
 
 Cv>tai 
 
 »K. 
 
 Dif. 
 
 10-3514169 
 10-3510770 
 10-3507372 
 10-3503977 
 10-3500583 
 10-3497191 
 10-3493801 
 10-3490413 
 10-3487026 
 10-3483641 
 10-3480258 
 10-3476877 
 10-3473497 
 10-3470119 
 10-3466743 
 10-3463369 
 10-3459996 
 10-3456625 
 10-3453256 
 
 10-3449888 
 10-3446523 
 10-3443159 
 10-34397^6 
 10-3436436 
 10-3433077 
 10-3429720 
 10-3426364 
 10-3423011 
 10-3419659 
 10-3416308 
 10-3412959 
 10-3409613 
 10-3406267 
 10-3402924 
 10-3399582 
 
 Covers. 
 
 9-7732475 
 9-7730530 
 9-7728583 
 9-7726636 
 9-7724689 
 9-7722741 
 9-7720792 
 9-7718843 
 
 7716893 
 9-7714942 
 9-7712991 
 
 7711039 
 9-7709087 
 9-7707134 
 9-7705180 
 9-7703225 
 9-7701271 
 9-7699315 
 9-7697359 
 9-7695402 
 9-7693444 
 9-7691486 
 9-7689528 
 9-7637568 
 9-7685608 
 
 9-7683648 
 9-7681687 
 9-7679725 
 9-7677762 
 9-767579« 
 9-7673835 
 767 187 1 
 9-7669906 
 9-7667940 
 
 Secant 
 
 10-3396242 
 
 10-3392903 
 
 10-3389566 
 
 10-3386231 
 
 10-3382897 
 
 10-3379566 
 
 10-3376235 
 
 10-3372907 
 
 10-3369580 
 
 10-3366255 
 
 10-336293 
 
 10-33596*09 
 
 10-3356289 
 
 10-3352970 
 
 10-3349654 
 
 10-3346338 
 
 10-3343025 
 
 10-3339712 
 
 10-3336-102 
 
 10-3333093 
 
 10-3329786 
 
 10-3326481 
 
 10-3323177 
 
 10-3319874 
 
 10-3316574 
 
 10-3313275 
 
 3-766^974 
 9-7664007 
 9-7662040 
 9-7660072 
 9-7658103 
 9-7656134 
 9-7654164 
 9-7652193 
 9-7650222 
 9-7648250 
 9-7646I.V7 
 9-7644':>04 
 9-7642331' 
 9-7640356 
 9-7638381 
 
 9-7636405 
 9-7634429 
 9-7632452 
 9-7630474 
 9-7628496 
 9-7626517 
 9-7624537 
 9-7622557 
 9-7620577 
 9-7618595 
 9-7616613 
 9-7614630 
 
 Tang. 
 
 10-0392698 
 
 10-0393261 
 
 10-0393824 
 
 ! 0-0394388 
 
 10-0394952 
 
 10-0395516 
 
 10-0396081 
 
 10-0396646 
 
 10-0397212 
 
 10-0397778,...7 
 
 10-0398345I: -^ 
 
 D. 
 
 563 
 
 563 
 
 564 
 
 564 
 
 564 
 
 566 
 
 56 
 
 566 
 
 566 
 
 Cosin 
 
 10.0398912|^| 
 
 10-03994801 
 
 Verseds. 
 
 10-0400048 
 10-0400616 
 10-0401185 
 10-0401754 
 10-0402324 
 10-0402894 
 10-0403465 
 10-0404036 
 10-0404607 
 10-0405179 
 10-0405752 
 10-0406325 
 
 10-0406898 
 0-0407472 
 10-0408046 
 10-0408620 
 10 0409195 
 10-0409771 
 10-0410347 
 10-0410923 
 10-0411500 
 10-0412077 
 100412655 
 10-0413233 
 0-0413812 
 10-0414391 
 10-0414970 
 10-0415550 
 10-0416131 
 10-0416712 
 10-0417293 
 10-0417875 
 10-0418457 
 10.0419039 
 10-0419622 
 10-0420206 
 10-0420790 
 10-0421374 
 100421959 
 10-0422544 
 10-0423130 
 10-0423716 
 10-0424303 
 10-0424890 
 10-0425478 
 10-0426066 
 10-0426654 
 10-0427243 
 
 568 
 568 
 569 
 569 
 570 
 570 
 571 
 
 571 
 571 
 
 672 
 
 573 
 
 573 
 
 573 
 
 574 
 
 574 
 
 674 
 
 575 
 
 576 
 
 576 
 
 576 
 
 577 
 
 577 
 
 578 
 
 578 
 
 579 
 
 579 
 
 579 
 
 580 
 
 581 
 
 581 
 
 581 
 
 582 
 
 582 
 
 582 
 
 58,5 
 
 584 
 
 584 
 
 584 
 
 585 
 
 ■585 
 
 586 
 
 586 
 
 687 
 
 587 
 
 588 
 
 588 
 
 588 
 
 589 
 
 Cosec. 
 
 D. 
 
 9-96073( 
 9-96067; 
 9-96061; 
 9-96056 
 9-96050 
 9-960441 
 9-96039: 
 9-96033i 
 9-96027J 
 9-96022i 
 9-960l6i 
 9-960 lOJ 
 9-96005i 
 9-95999^ 
 9-95993J 
 9-95988] 
 9-95982-; 
 9-95976; 
 9-9597l( 
 9-95965^ 
 9-95959^ 
 9-95953f 
 9-95948i 
 9-959424 
 9.95936J 
 9-95931( 
 9-959255 
 9-959195 
 9-95913^ 
 9-95908(; 
 9-95902i! 
 
 9-958965 
 9-958907 
 9-958850 
 9-958792 
 9-958734 
 9-958676 
 
 -258618 
 9-958560 
 9-953503 
 9-958445 
 9-958386 
 9-958328 
 9-958270 
 9-958212 
 9-958154 
 9-958096 
 9-958037 
 9-957979 
 
 957921( 
 9-9578621 
 
 957804 
 9-9577451 
 9-957687( 
 9-957628' 
 9-957569; 
 9-95751 K 
 9-957452: 
 9-957393- 
 9-9573341 
 9-957275 
 
 Sine 
 
 T\. 
 
($5)8) ^5 r>eg. NATURAL SINKS, SiC. 
 
 Tab. 10. 
 
 JMiie 
 
 4'2-2SS\9 
 4231455 
 42/54090 
 423^,725 
 4239.{b'0 
 4241.004 
 
 7 42446'2« 
 
 8 4247262 
 9|4249r!95 
 
 10|4252528 
 
 11 4255161 
 
 12 4257793 
 
 13 4260425 
 144263056 
 
 15,4265687 
 1614268318 
 
 17 4270949 
 
 18 4273579 
 4276208 
 4278838 
 4281467 
 4284095 
 4286723 
 4289351 
 
 4291979 
 4294606 
 4297233 
 4299859 
 
 29 4302485 
 
 30 4305111 
 
 4307736 
 4310361 
 4312986 
 4315610 
 4318234 
 4320857 
 4323481 
 4326103 
 4328726 
 4331348 
 4333970 
 4336591 
 4339212 
 4341832 
 4344453 
 4347072 
 4349692 
 4352311 
 4354930 
 4357548 
 4360166 
 4362784 
 4365401 
 4368018 
 4370634 
 4373251 
 4375866" 
 4378482 
 4381097 
 4383711 
 
 Cosine Dlf. 
 
 Dit. Covers 
 
 2636 
 2636 
 2635 
 2635 
 2635 
 2634 
 2634 
 2634 
 2633 
 2633 
 2633 
 2632 
 2632 
 2631 
 2631 
 2631 
 2631 
 2630 
 2629 
 2630 
 2629 
 2628 
 2628 
 2628 
 2628 
 2627 
 2627 
 2626 
 2626 
 2626 
 2625 
 2625 
 2625 
 2624 
 2624 
 2623 
 2624 
 2622 
 2623 
 2622 
 2622 
 2621 
 2621 
 2620 
 2621 
 2619 
 2620 
 2619 
 2619 
 2618 
 2618 
 26 18 
 2617 
 2617 
 2616 
 2617 
 2615 
 '616 
 2615 
 2614 
 
 773817 
 
 577H81 
 
 768545 
 
 765910 
 
 76327 
 
 760640 
 
 5758006 
 
 )755372 
 
 5752738 
 
 5750105 
 
 5747472 
 
 5744839 
 
 5742207 
 
 5739575 
 
 5736944 
 
 5734313 
 
 5731682 
 
 5729051 
 
 5726421 
 
 5723792 
 5721162 
 5718533 
 5715905 
 5713277 
 710649 
 5708021 
 5705394 
 5702767 
 5700141 
 5697515 
 5694889 
 5692264 
 5689639 
 5687014 
 5684390 
 5681766 
 5679143 
 5676519 
 5673897 
 5671274 
 5668652 
 5666030 
 5663409 
 5660788 
 5658168 
 5655547 
 5652928 
 5650308 
 5647689 
 5645070 
 5642452 
 5639834 
 5637216 
 5634599 
 5631982 
 5629366 
 6626749 
 5624134 
 5621518 
 5618903 
 5616289 
 
 Vers. 
 
 Cosec. i'aiuv. 
 
 •3662016 
 •3647265 
 1-3632535 
 1-3617826 
 :-3603I36 
 t-3588467 
 !-35738I8 
 t-3559189 
 1-354458 1 
 1-3529992 
 1-3515424 
 !-3500875 
 ;-3486347 
 1-3471838 
 t-3457349 
 1-344288 1 
 2-3428432 
 2-3414002 
 2-3399593 
 2-3385203 
 2-3370833 
 2-3356482 
 2-3342152 
 2-3327840 
 2-3313548 
 2-3299276 
 2-3285023 
 2-3270790 
 2-3256575 
 2-3242381 
 2-3228205 
 2-3214049 
 2-3199912 
 2-3185794 
 2-3171695 
 2-3157615 
 2-3143554 
 2-3129513 
 2-3115490 
 2-3101486 
 2-3087501 
 2-3073636 
 2-3059588 
 2-3045660 
 2-3031751 
 2-3017860 
 2-3003988 
 2-2990134 
 2-2976299 
 2-296248 
 
 2948685 
 2-2934906 
 2-29;^] 145 
 2-290740 
 2-2893679 
 2-2879974 
 2-2866286 
 2-285261 
 2-2838967 
 2-2825335 
 2-2811720 
 
 Secant 
 
 Col ail I? 
 
 4663077 
 4666618 
 4670161 
 4673705 
 4677250 
 4680796 
 4684342 
 
 4687890 
 4691439 
 4694988 
 4698539 
 4702090 
 4705643 
 4709196 
 4712751 
 4716306 
 4719863 
 4723420 
 4726978 
 4730538 
 4734098 
 4737659 
 4741222 
 4744785 
 4748349 
 4751914 
 4755481 
 4759048 
 4762616 
 4766185 
 476975-5 
 
 4773326 
 4776899 
 4780472 
 4784046 
 4787621 
 4791197 
 4794774 
 4798352 
 4801932 
 4805512 
 4809093 
 4812675 
 
 4816258 
 4819842 
 4823427 
 4827014 
 4830601 
 4834189 
 
 4837778 
 4841368 
 4844959 
 4848552 
 4852145 
 4855739 
 4859334 
 4862931 
 4866528 
 4870126 
 4873726 
 4877326 
 
 vSccant 
 
 2-1445069 
 2-1428793 
 2-1412537 
 2-1396301 
 2-1380085 
 2-1363890 
 2-1347714 
 
 2-1331559 
 2-1315423 
 2-1299308 
 2-1283213 
 2-1267137 
 2-1251082 
 
 2-1235046 
 2-1219030 
 2-1203034 
 2-1187057 
 2-1171101 
 2-1155164 
 2-1139246 
 2-1123348 
 2-1107470 
 2-1091611 
 2.1075771 
 2-1059951 
 
 2-1044150 
 2-1028369 
 2-1012607 
 2-0996864 
 2-0981140 
 2-0965436 
 2-0949751 
 2-0934085 
 2-0918437 
 2-0902809 
 2-0887200 
 2-0871610 
 
 Veri 
 
 1-1033779 
 1-1035277 
 1-103677; 
 1-1038275 
 1-1039777 
 1-1041279 
 1-1042783 
 1-1044289 
 1-1045795 
 1-1047303 
 1-1048813 
 1-1050324 
 1-1051836 
 
 Cotan. 
 
 0856039 
 0840487 
 0824953 
 0809438 
 0793942 
 0778465 
 
 1053349 
 
 1054864 
 
 1056380 
 
 1057898 
 
 1059417 
 
 1060937 
 
 1-1062458 
 
 1-1063981 
 
 1-1065506 
 
 1-1067031 
 
 1-1068558 
 
 M 070087 
 
 1-1071616 
 
 1073147 
 
 1074680 
 
 ■1076214 
 
 ■1077749 
 
 ■107928 
 
 2-0763007 
 
 2-0747567 
 
 2-0732146 
 
 2-0716743 
 
 2-0701359 
 
 2-0685994 
 
 2-0670646 
 
 i.^-0655318 
 
 2-0640008 
 
 2-0624716 
 
 2-0609442 
 
 2-0594l87il-l 116573 
 1-1118144 
 11119716 
 1-1121290 
 1-1122865 
 1-1124442 
 1-1126019 
 
 1-1080823 
 1-1082363 
 1-1083903 
 1-1085445 
 1-1086989 
 1-1088533 
 1-1090079 
 1-1091627 
 1-1093176 
 M094726 
 1-1096277 
 1-1097830 
 
 1-1099385 
 1-1100940 
 1-1102498 
 M 104056 
 1-1105616 
 1-1107177 
 1-1108740 
 1-1110304 
 1-1111869 
 1-1113436 
 
 0936922 
 
 0938152 
 
 0939382 
 
 0940614 
 
 0941846 
 
 0943078 
 
 0944312 
 
 0945546 
 
 0946781 
 
 0948017 
 
 0949254 
 
 0950491 
 
 0951729 
 
 0952968 
 
 0954208 
 
 0955449 
 
 0956690 
 
 0957932 
 
 0959 
 
 0960418 
 
 0961662 
 
 096290 
 
 0964153 
 
 0965400 
 
 096G647 
 
 0.967895 
 0969144 
 0970394 
 0971644 
 0972895 
 0974147 
 0975400 
 0976653 
 0977908 
 0979162 
 0980418 
 0981676 
 
 2-0578950 
 2-0563732 
 2-054853 1 
 2-0533349 
 2-0518185 
 2-0503038 
 
 1-1115004 
 
 Tang. 
 
 Cosec. 
 
 0982932 
 0984190 
 0985449 
 0986708 
 0987969 
 0989230 
 0990492 
 0991754 
 0993018 
 0994282 
 0995547 
 0996812 
 
 0998079 
 
 0999346 
 
 1000614 
 
 1001883 
 
 1003152 
 
 1004422 
 
 1005693 
 
 1006965 
 
 1008237 
 
 1009511 
 
 101078 
 
 1012060 
 
 Covers 
 
 )ii. Cosine 
 
 1 230 
 1230 
 1232 
 1232 
 1232 
 1234 
 1234 
 
 1235 
 1236 
 1237 
 1237 
 1238 
 1239 
 1240 
 1241 
 1241 
 1242 
 1243 
 1243 
 
 1244 
 
 124 
 
 1246 
 
 1247 
 
 1247 
 
 1248 
 
 1249 
 
 1250 
 
 1250 
 
 1251 
 
 1252 
 
 1253 
 
 1253 
 
 1255 
 
 1254 
 
 1256 
 
 1257 
 
 1257 
 
 1258 
 
 1259 
 
 1259 
 
 1261 
 
 1261 
 
 1262 
 
 1262 
 
 1264 
 
 1264 
 
 1265 
 
 1265 
 
 1267 
 
 1267 
 
 1268 
 
 1269 
 
 1269 
 
 1270 
 
 1271 
 
 1272 
 
 1272 
 
 1274 
 
 1274 
 
 127 
 
 9063078 
 9061848 
 9060618 
 9059386 
 9058154 
 9056922 
 9055688 
 9054454 
 9053219 
 9051983 
 9050746 
 9049509 
 9048271 
 9047032 
 9045792 
 9044551 
 9043310 
 9042068 
 9040825 
 9039582 
 9038338 
 9037093 
 9035847 
 9034600 
 9033353 
 9032105 
 9030856 
 9029606 
 9028356 
 9027105 
 9025853 
 9024600 
 9023347 
 9022092 
 9020838 
 9019582 
 9018325 
 
 9017068 
 9015810 
 9014551 
 9013292 
 9012031 
 9010770 
 9009508 
 9008246 
 9006982 
 9005718 
 9004453 
 9003188 
 9001921 
 9000654 
 8999386 
 8998117 
 8996848 
 8995578 
 8994307 
 8993035 
 8991763 
 8990489 
 8989215 
 8987940 
 
 Dif. Sine 
 
 Deil. 64. 
 
^5 Beg, 
 
 LOG. SINES, kc. 
 
 (2 
 
 10 
 
 11 
 
 12 
 13 
 14 
 15 
 16 
 17 
 18 
 
 19 
 
 20 
 21 
 22 
 23 
 24 
 2,^ 
 2G 
 27 
 28 
 29 
 30 
 31 
 32 
 33 
 34 
 35 
 36 
 
 37 
 
 38 
 
 39 
 
 40 
 
 41 
 
 42 
 
 43 
 
 44 
 
 45 
 
 46 
 
 47 
 
 43 
 
 49 9 
 
 509 
 
 Sine 
 
 •6259483 
 •6262191 
 •6264897. 
 •6267601 
 •6270303 
 •6273003 
 •6275701 
 
 •6278397 
 •6281090 
 •6283782 
 •6286472 
 ■6289160 
 •6291845 
 
 •6294529 
 
 6297211 
 
 •6299890 
 
 •6302568 
 
 •6305243 
 
 ■6307917 
 
 •6310589 
 
 •6313258 
 
 •6315926 
 
 •631859 
 
 •632125 
 
 •6323916 
 
 •6326576 
 
 •6329233 
 
 •6331889 
 
 •6334542 
 
 •6337194 
 
 •6339844 
 
 •6342491 
 
 ■6345137 
 
 •6347780 
 
 •6350422 
 
 •6353062 
 
 •6355699 
 
 •6358335 
 
 •6360969 
 
 •6363601 
 
 6366231 
 
 •6368859 
 
 ■6371484 
 
 •6374108 
 
 •6376731 
 
 ■6379351 
 
 ■6381969 
 
 ■6384585 
 
 ■6387199 
 
 ■6389812 
 ■6392422 
 •6395030 
 ■6397637 
 •6400241 
 •6402844 
 •6405445 
 •6408044 
 •6410640 
 •6413235 
 •6415828 
 •6418420 
 
 Cosine 
 
 Dif.i Cosee. 
 
 2708 
 2706 
 2704 
 2702 
 2700 
 2698 
 2696 
 2693 
 2692 
 2690 
 2688 
 2685 
 2684 
 2682 
 2679 
 2678 
 2675 
 2674 
 2672 
 
 2669 
 2668 
 2665 
 2664 
 2661 
 2660 
 2657 
 2656 
 2653 
 2662 
 2650 
 2647 
 2646 
 2643 
 2642 
 2640 
 2637 
 2636 
 2634 
 2632 
 2630 
 2628 
 2625 
 2624 
 
 2623 
 2620 
 2618 
 2616 
 2614 
 2613 
 2610 
 2608 
 2607 
 2604 
 2603 
 2601 
 2599 
 2596 
 2595 
 2593 
 2592 
 
 Dif. 
 
 1 0^37405 17 
 1 0^3737809 
 10^3735I03 
 10^3732399 
 10^372969; 
 10-3726997 
 10-3724299 
 
 10-3721603 
 10-3718910 
 10-3716218 
 10-3713528 
 10-3710840 
 10-3708155 
 10-3705471 
 10-3702789 
 10-3700110 
 10^3697432 
 10^3694757 
 10^3692083 
 10^3689411 
 10-3686742 
 10-3684074 
 10-3681409 
 10^3678745 
 10-3676084 
 10-3673424 
 10-3670767 
 10-3668111 
 10-3665458 
 10^3662806 
 10^3660156 
 I0^3657509 
 10-3654863 
 10-3652220 
 10-3649578 
 
 Verseds'.j Tixuir. jDif. 
 
 8-9717035 9-6686725Ur,qo 
 9-GG900'23^fy7,'i^. 
 9^6693319u:q^ 
 9-6696613^^^ 
 
 8-9722731 
 8-9728424 
 8-9734113 
 8-9739797 
 8-9745478 
 8-9761155 
 8-9756828 
 8-9762497 
 8-9768163 
 8-9773824 
 g-9779482 
 8-978513 
 8-9790785 
 8-9796431 
 8-9802073 
 8-9807711 
 9813346 
 8-9818976 
 8-9824603 
 8-9830226 
 8-9835845 
 8-9841460 
 8-9847072 
 9852679 
 9868283 
 8-9863883 
 8-9869480 
 8-9875072 
 8-9880661 
 8-9886246 
 8-9891827 
 8-9897404 
 8^9902978 
 8-9908548 
 
 0-3646938]8-9914114 
 10-3644301 1 8-99 19676 
 10-364166518-9925235 
 10-3639031 18-9930790 
 10-3636399|8-9936341 
 10-3633769 8-9941888 
 
 10-3631141 
 10-3628516 
 10-3625892 
 10-3623269 
 10-3620649 
 10-3618031 
 10-3615415 
 10-3612801 
 10-3610188 
 10-3607578 
 10-3604970 
 10-3602363 
 10-3599759 
 10-3597156 
 10-3594555 
 10-3591956 
 10-358.9360 
 10-3586765 
 10-3584172 
 10-3581580 
 
 8-9947432 
 8-9952972 
 
 8-9958508 
 8-9964041 
 8-9969569 
 8-9975096 
 8-9980616 
 8-9986134 
 8-9991648 
 8-9997158 
 9-0002665 
 9-0008168 
 9-0013667 
 9-001 9 1 63 
 9 '0024655 
 9^0030144 
 9^0035628 
 9^0041109 
 9^0046587 
 9^0052061 
 
 Secant 
 
 9^6699906 
 9^6703 197 
 9^6706486 
 
 9-6709774 
 9^6713060 
 6716345 
 9^6719628 
 9^6722910 
 9^6726190 
 
 9-6729468 
 
 9.6732745 
 
 9-6736020 
 
 9-6739294 
 
 9-6742566 
 
 9-6745836 
 
 9-6749105 
 
 9-6752372 
 
 9-6755638 
 
 9-6758903 
 
 9-676216 
 
 9-6765426 
 
 9-676S6S6 
 
 9-6771944 
 
 9-6775201 
 
 9-6778456 
 
 9-6781709 
 
 9-6784961 
 
 9-6788211 
 
 9-6791460 
 
 9-6794708 
 
 9-6797953 
 
 9-6801198 
 
 9-6804440 
 
 9^6807682 
 
 9-6810921 
 
 9-6814160 
 
 9-6817396 
 
 9-6820632 
 
 6823865 
 9-6827098 
 9-6830328 
 9-6833557 
 9-6836785 
 9-6840011 
 9-6843236 
 9-6846459 
 9-6849681 
 9-6852901 
 9-6856120 
 9-6859338 
 9-6862553 
 9-6865768 
 9-6868981 
 9-6872192 
 9-6875402 
 9-6878611 
 
 6881818 
 
 3293 
 3291 
 3289 
 3288 
 3286 
 3285 
 3283 
 3282 
 3280 
 3278 
 3277 
 3275 
 3274 
 3272 
 3270 
 3269 
 
 3267 
 3266 
 
 265 
 3262 
 3261 
 3260 
 3258 
 3257 
 3255 
 3253 
 3252 
 3250 
 3249 
 3248 
 3245 
 3245 
 3242 
 3242 
 3239 
 3239 
 3236 
 
 236 
 3233 
 3233 
 3230 
 3229 
 3228 
 3226 
 3225 
 ■3223 
 3222 
 32201 
 3219: 
 32181 
 3215 
 3215 
 
 3213 
 3211 
 3210 
 3209 
 3207 
 
 Covers. Cotang. Dir. 
 
 Cotans^. Covers. Secant D. Cosine 
 
 10-3313275 
 10-3309977 
 10-3306681 
 10-3303387 9 
 
 10-330009] 
 10.3296803 
 10-3293514 
 10-3290226 
 10-32-^6940 
 10-3283655 
 10-3280372 
 10-3277090 
 10-3273810 
 10-3270532 
 10-3267255 
 10-3263980 
 10-3260706 
 10-3257434 
 10-3254164 
 10-3250895 
 10-3247628 
 10-3244362 
 10-3241097 
 10-3237835 
 10-3234574 
 10-3231314 
 10-3228056 
 10-3224799 
 10-3221544 
 10-3218291 
 10-3215039 
 10-3211789 
 10-3208540 
 10-3205292 
 10-3202047 
 10-3198802 
 10-3195560 
 10-3192318 
 10-3189079 
 10-3185840 
 10-3182604 
 10-3179368 
 10-3176135 
 
 10-3172902 
 10-3169672 
 10-3166443 
 10-3163215 
 10-3159989 9 
 10-3156764 9 
 
 10-3153541 9 
 10-3150319 9 
 10-3147099 9 
 ! 0-3 143880 .9' 
 10-3140662f9 
 10-3137447 9 
 
 10-3134232 
 10-3131019 
 10-3127808 
 10-3124598 
 10-3121389 
 10-3118182 
 
 lari^. 
 
 •7614630 
 •7612647 
 ■7610663 
 ■760S679 
 ■7606693 
 7604707 
 760'27'2\ 
 7600734 
 7598746 
 7596758 
 7594769 
 7592779 
 7590789 
 7588798 
 7586806 
 7584814 
 7582821 
 7580827 
 7578833 
 
 7576838 
 7574843 
 7572847 
 7570850 
 7568852 
 7566854 
 7564856 
 7562856 
 7560856 
 7558856 
 ■7556855 
 ■7554853 
 •7552850 
 7550847 
 ■7548843 
 7546839 
 7544833 
 7542828 
 7540821 
 7538814 
 7536806 
 7534798 
 7532789 
 7530779 
 7528769 
 7526758 
 7524746 
 7522734 
 7520721 
 7518708 
 7516694 
 7514679 
 7512663 
 7510647 
 7508630 
 7506613 
 7504695 
 7502576 
 7500556 
 7498536 
 7496516 
 7494494 
 
 10-0427243 
 10-0427832 
 10-0428422 
 10-0429012 
 10-0429603 
 10-0430194 
 10-0430785 
 
 10-0431377 
 10-0431970 
 10-0432563 
 10-0433156 
 10-0433750 
 10-0434344 
 10-0434939 
 10-0435534 
 10-0436130 
 10-0436726 
 10-0437322 
 10-0437919 
 
 10-0438517 
 
 10-0439114 
 
 10-0439713 
 
 10-0440311 
 
 10-0440911 
 
 10-0441510 
 
 10-0442110 
 
 10-0442711 
 
 10-0443312 
 
 10-044391 
 
 10-0444515 
 
 10-0445118 
 
 10-0445720 
 
 10-0446324 
 
 10-0446927 
 
 10-0447531 
 
 10-0448136 
 
 10-0448741 
 
 10-0449347 
 10-0449953 
 10-0450559 
 10-0451166 
 10-0451773 
 10-0452381 
 10-0452989 
 10-0453598 
 10-0454207 
 
 Versed^; 
 
 589, 
 
 590 ; 
 
 590; 
 
 591 
 
 591 
 
 591 
 
 592; 
 
 593 
 593 
 593 
 
 594 ; 
 
 594 
 
 595 
 
 595: 
 
 596; 
 
 596; 
 
 59fi: 
 
 597: 
 
 598 
 
 597; 
 
 599: 
 
 598; 
 
 600 ; 
 
 ')99', 
 
 600,: 
 
 601 
 
 601 
 
 601 
 
 602 
 
 603 
 
 60:^ 
 
 604] 
 
 603 
 
 604 
 
 605: 
 
 605 ; 
 
 606; 
 
 606; 
 
 606; 
 
 607 
 
 607 
 
 608 
 
 608 
 
 609; 
 
 ^2^|9-954579 
 l0-0454816,.,r^^!9-954518 
 
 611 1 
 6li 
 611 
 612; 
 
 6i2|; 
 
 613 
 
 9-957271 
 9-9572H 
 9-95715; 
 9-95709^ 
 9-95703f 
 9-95698( 
 9-95692) 
 9-95686^ 
 9-95680C 
 9-95674C 
 9-95-S68'; 
 9-95662.' 
 95656i 
 9-95650( 
 9-95644( 
 9-9063S; 
 9-95632/ 
 9-95626; 
 9-95620^ 
 9-95614^ 
 9-95608i 
 9-95602^ 
 9-95696E 
 9-95590^ 
 9-95584£ 
 
 9-95578£ 
 9-95672^ 
 9-95566E 
 9-95560^ 
 9-95554^ 
 9-95548g 
 
 9-95542g 
 9-955367 
 
 955307 
 9-955246 
 9-955186 
 9-955125 
 9-955065 
 9-955004 
 9-954944 
 9-954883 
 9-954822 
 9-954761 
 
 954701 
 9-954640 
 
 10-0455426 
 10-0456037 
 10-0456648 
 10-0457259 
 10-0457871 
 10-0458483 
 10-0459096 
 10-0459709 
 10-0460323 
 10-0460937 
 10-0461552 
 10-0462167 
 10-0462782 
 10-0463398 
 
 Cosec. 
 
 9-954457 
 9-954395 
 
 9-9.54335 
 9-954274 
 9-954212 
 19-954151 
 9-954090 
 
 !^'^'!;9-954029 
 
 ^ .iL'-953967 
 '!^'9-953906 
 ^.^19-953844 
 
 ; Ji9-953783 
 j! J :' 9-953721 
 
 -"^9-953660 
 
 D. 
 
 3 Q 2 
 
 Sine 
 Dea. 
 
(300) 26 Deg. NATURAL SINES, &C. 
 
 Tab. 10. 
 
 4383711 
 
 4.J8G326' 
 4;}88940 
 4391553 
 4394 16'6' 
 4396779 
 6 439939:^ 
 
 SilU 
 
 4402004 
 440-J615 
 4407227 
 4409838 
 4412448 
 4415059 
 4417668 
 4420278 
 4228H7 
 4425496 
 4428104 
 4430712 
 4433319 
 4435927 
 4438534 
 4441140 
 
 23 4443746 
 
 24 4446352 
 25 
 26 
 27 
 28 
 29 
 30 
 31 
 32 
 33 
 34 
 35 
 36 
 37 
 38 
 39 
 40 
 41 
 42 
 
 4448957 
 4451562 
 4454167 
 4466771 
 4459375 
 4461978 
 
 4464581 
 4467184 
 4469786 
 4472388 
 4474990 
 4477591 
 4480192 
 4482792 
 4485392 
 4487992 
 4490591 
 4493190 
 
 43 4495789 
 
 44 -i :98 !87 
 4f :S00'^4 
 
 4503 82 
 4506" 179 
 4508775 
 Tj 11372 
 4513967 
 4516563 
 4519158 
 4'-,2176:^ 
 4524347 
 45;'t941 
 452953,N 
 4532128 
 4534721 
 453:^3 1 < 
 453^»^»05 
 
 Dif. Covers 
 
 Co 
 
 sine 
 
 2616 
 
 2614 
 2613 
 613 
 2613 
 2613 
 2612 
 2611 
 2612 
 2611 
 2610 
 2611 
 2609 
 2610 
 2609 
 2609 
 2608 
 2608 
 2607 
 2608 
 2607 
 2606 
 2606 
 2606 
 2605 
 2605 
 2605 
 2604 
 2604 
 2603 
 2603 
 260) 
 2602 
 2602 
 2602 
 2601 
 2601 
 2600 
 2600 
 2600 
 2599 
 2599 
 2599 
 2598 
 2597 
 2598 
 
 ^59^5493821 
 259?h491225 
 
 Cosec. 
 
 •>6 16289 
 5613674 
 5611060 
 5608447 
 5605834 
 5603221 
 5600608 
 5597S96 
 5595385 
 5592773 
 5590162 
 5587552 
 5584941 
 5582332 
 5579722 
 5577113 
 5574504 
 5571896 
 5569288 
 5566681 
 5564073 
 5561466 
 5558860 
 5556254 
 553648 
 5551043 
 5548438 
 5545833 
 5543229 
 5540625 
 5538022 
 5535419 
 5532816 
 5530214 
 5527612 
 5525010 
 5522409 
 5519808 
 5517208 
 5514608 
 5512008 
 5509409 
 5506810 
 5504211 
 5501613 
 5499016 
 5496418 
 
 2-28 11720 
 2-2798124 
 2-2784546 
 2-2770987 
 2-2757445 
 2-2743921 
 2-2730415 
 2-2716927 
 2-2703457 
 2-2690005 
 2-2676671 
 2-2663156 
 2-2649756 
 2-2636376 
 2-2623012 
 2-260P667 
 2-2596339 
 2-2583029 
 
 Tang'. 
 
 48773'26 
 4880927 
 4884530 
 4888133 
 4891737 
 4895343 
 4898949 
 4902557 
 4906166 
 4809775 
 4913386 
 4916997 
 4920610 
 4924224 
 4927838 
 4931454 
 935071 
 4938689 
 
 2-2569736*4942308 
 
 2595 
 
 2595 
 2595 
 2594 
 2,j94 
 
 64fe86',>8 
 5486033 
 5483437 
 5480842 
 5478247 
 5475653 
 
 25945473^^.? 
 
 f!^,!54.7872 
 "^'"^'^ 5465279 
 
 2592 
 25.; 2 
 
 i i62Gk: 
 
 5460G9 
 
 2-2556461 
 2-2543204 
 2-25*29964 
 
 2516741 
 2-2503536 
 2-2490348 
 2-2477178 
 2-246402 
 2.2450889 
 2-2437770 
 2-2424669 
 2-2411585 
 2-2398517 
 2-2385468 
 2-2372435 
 2-2350419 
 'i-2346420 
 2'-2333438 
 2-2320474 
 2-2307526 
 2-2294595 
 2-2281681 
 
 •2268783 
 2-2255903 
 2-2243039 
 2-2230192 
 2-2217362 
 2-2204548 
 2-2191752 
 2-2178971 
 2-2166208 
 2-2153460 
 2-2140730 
 2-2128016 
 2-2115318 
 2-2102637 
 2-2089972 
 2-2077323 
 2-206469 1 
 2-205207? 
 2-20 -9476 
 2-20' -689 N 
 
 Dif. Vers. 
 
 4945928 
 
 4949549 
 
 4953171 
 
 4956794 
 
 4960418 
 
 4964043 
 
 4967669 
 
 4971297 
 
 4974925 
 
 4978554 
 
 4982185 
 
 4985816 
 
 4989449 
 
 4993082 
 
 4996717 
 
 500035 
 
 5003989 
 
 5007627 
 
 5011266 
 
 5014906 
 
 5018547 
 
 5022189 
 
 5025832 
 
 5029476 
 
 5033121 
 
 5036768 
 
 5040415 
 
 5044063 
 
 5047713 
 
 5051363 
 
 5055016 
 
 5058668 
 
 5062322 
 
 5065977 
 
 5069633 
 
 5073290 
 
 5076948 
 
 5080607 
 
 5084267 
 
 5087929 
 
 5091591 
 
 5095254 
 
 Cotang, 
 
 2-0503038 
 2-0487910 
 2-0472800 
 2-0457708 
 2-0442634 
 2-0427678 
 2-0412640 
 2-0397519 
 2-0382517 
 2-0367532 
 2-0362565 
 2-0337615 
 2-0322683 
 2-0307769 
 2-0292873 
 2-0277994 
 2-0263133 
 2-0248289 
 2-0233462 
 2-0218654 
 2-0203862 
 2-0189088 
 2-0174331 
 2-0159592 
 2-0144869 
 2-0130164 
 2-0115477 
 2-0100806 
 2-0086153 
 2-0071516 
 2-0056897 
 2-0042295 
 2-0027710 
 2-0013142 
 1 -9998590 
 1-9984056 
 1-9969539 
 
 1-9955038 
 1-9940564 
 1-9926087 
 1-9911637 
 1-9897204 
 1-9882787 
 1-9868387 
 1-9854003 
 1-9839636 
 1-9825286 
 1-9810952 
 1-9796635 
 1-9782334 
 1-9768050 
 1-9753782 
 1-9739531 
 1-9725296 
 1-9711077 
 1-9696874 
 }-9G*'12688 
 1-96685 18 
 i -9654364 
 1-964021^7 
 1-962 U 
 
 Secant \Coian. Tang, 
 
 Secant Vers. Dif. Cosiut 
 
 1126019 
 1127599 
 1129179 
 1130761 
 1132345 
 1133929 
 1135616 
 
 1137103 
 1138692 
 1140282 
 ■1141874 
 1143467 
 ■1146062 
 
 ■1146658 
 1148265 
 •1149854 
 •1151454 
 •1153056 
 ■1154659 
 ■1156263 
 ■1157869 
 •1159476 
 •1161084 
 1162694 
 1164306 
 1165919 
 1167533 
 1169148 
 1170766 
 1172384 
 ■1174004 
 •1176625 
 •1177248 
 ■1178872 
 •1180498 
 •1182124 
 •1183753 
 •1185383 
 •1187014 
 '1188647 
 ■1190281 
 •1191916 
 '1193553 
 '1195191 
 -1196831 
 -1198472 
 -1200115 
 -1201759 
 -1203405 
 •1205051 
 •1206700 
 -1208350 
 -1210001 
 .1211653 
 •1213308 
 -1214963 
 -1216620 
 -1218278 
 -1219938 
 -I22I6OO 
 •1223262 
 
 Coi 
 
 sec. 
 
 1012060 
 
 1013335 
 
 1014611 
 
 1015888 
 
 1017166 
 
 101844,= 
 
 1019724 
 
 1021004 
 
 1022285 
 
 1023567 
 
 1024849 
 
 1026132 
 
 1027416 
 
 1028701 
 
 1029986 
 
 1031273 
 
 1032660 
 
 1033847 
 
 1035136 
 
 1036425 
 
 1037715 
 
 1039006 
 
 1040297 
 
 1041589 
 
 1042882 
 
 1044176 
 
 1045471 
 
 1046766 
 
 1048062 
 
 1049359 
 
 1050656 
 
 1051955 
 
 1053254 
 
 1054564 
 
 1055854 
 
 1067156 
 
 1058458 
 
 1059760 
 
 1061064 
 
 1062368 
 
 1063674 
 
 1064979 
 
 1066286 
 
 1067594 
 
 1068902 
 
 1070211 
 
 1071520 
 
 1072831 
 
 1074142 
 
 1075454 
 
 1076766 
 
 1078080 
 
 107939 
 
 '080709 
 
 108202 
 
 108334 
 
 108465 
 
 1085976 
 
 108729 
 
 108861 
 
 1 
 
 Covers Dif. 
 
 1275 
 
 1276 
 1277 
 1278 
 1279 
 1279 
 1280 
 1281 
 1282 
 1282 
 1283 
 1284 
 1285 
 1285 
 1287 
 1287 
 1287 
 1289 
 1289 
 
 1290 
 1291 
 1291 
 1292 
 1293 
 1294 
 129: 
 1295 
 1296 
 1297 
 1297 
 1299 
 
 1299 
 1300 
 1300 
 1302 
 1302 
 1302 
 
 1304 
 
 1304 
 
 1306 
 
 1305 
 
 1307 
 
 1308 
 
 1308 
 
 1309 
 
 1309 
 
 1311 
 
 1311 
 
 1312 
 
 131 
 
 1314 
 
 1314 
 
 1315 
 
 1316 
 
 1316 
 
 1317 
 
 1318 
 
 131 
 
 1320 
 
 1320 
 
 8987940 
 8986665 
 
 898538958 
 
 8984112 
 8982834 
 8981556 
 
 8980276 54 
 8978996 53 
 8977715 52 
 8976433 
 8975151 
 8973868 
 
 8972584 48 
 
 8971299 
 
 8970014 46 
 
 8968727 
 8967440 
 8966153 
 
 8964864J42 
 
 896367 
 
 8962285 
 
 8960994 
 
 8959703 
 
 8958411 
 
 8957118 
 
 47 
 
 8955824 
 8954529 
 8953234 
 8951938 
 8950641 
 8949344 
 8948045 
 8946746 
 8945446 
 8944146 
 8942844 
 8941542 
 
 8940240 
 8938936 
 8937632 
 8936326 
 8935021 
 8933714 
 8932406 
 8931098 
 8929789 
 8928480 
 8927169 
 8925858 
 8924546 
 8923234 
 8921920 
 8920606 
 8919291 
 8917975 
 8916659 
 8915342 
 8914024 
 8912705 
 8911385 
 8910065 
 
 Sine 
 
 Des. 63. 
 
26 Deg. 
 
 LOG. STNES, kc. 
 
 (3 
 
 Sine Dif. Cosec. Verseds. Tang. Dif. Cotang. 
 
 •)-6418420 
 
 9-6421009 
 
 9-6"423596 
 
 9-642G182 
 
 9-6428765 
 
 9-6431347 
 
 9-6433926 
 
 6436504 
 
 6439080 
 
 9-6441654 
 
 6444226 
 
 9-6446796 
 
 9-6449365 
 
 9-6451931 
 9-6454496 
 9-6457058 
 9-6459619 
 9-6462178 
 9-6464736 
 
 9-6467290 
 9-6469844 
 9-6472395 
 9-6474945 
 9-6477492 
 9-6480038 
 9-64S^i582 
 9-6485124 
 9'648766li 
 
 6490203 
 9-6492740 
 9-6495274 
 9-6497807 
 9-6500338 
 
 6502868 
 9-6505395 
 9-6507920 
 9-6510444 
 9-6512966 
 9-6515486 
 9-6518004 
 9-6520521 
 9-6523035 
 9-6525548 
 9-6528059 
 9-6530568 
 9-6533075 
 9-6535581 
 9-6538084 
 9-6540586 
 
 6543086 
 9-6545584 
 9-6548081 
 9-6550575 
 9-6553068 
 
 6555559 
 
 55 9-6558048 
 
 9-6560536 
 9-6563021 
 9-6565505 
 9-6567987 
 9-6570468 
 
 Cosine 
 
 2589 
 2587 
 2586 
 2583 
 2582 
 2579 
 2578 
 2576 
 2574 
 2572 
 2570 
 2569 
 2566 
 
 2565 
 2562 
 2561 
 2559 
 2551 
 2555 
 2554 
 2551 
 2550 
 2547 
 2546 
 2544 
 2542 
 2541 
 2538 
 2537 
 2534 
 2533 
 2531 
 2530 
 2527 
 2525 
 2524 
 2522 
 
 2520 
 2518 
 2517 
 2514 
 2513 
 2511 
 2509 
 2507 
 2506 
 2503 
 2502 
 2500 
 2498 
 2497 
 2494 
 2493 
 2491 
 2489 
 2488 
 2485 
 2484 
 248; 
 2481 
 
 ■3581580 
 •3578991 
 •3576404 
 •3573818 
 •3571235 
 •3568653 
 •3566074 
 •3563496 
 ■3560920 
 •3558346 
 ■3555774 
 ■35532C4 
 ■3550635 
 ■3548069 
 •3545504 
 3542942 
 ■3540381 
 3537822 
 3535265 
 3532710 
 3530156 
 3527605 
 3525055 
 3522508 
 3519962 
 3517418 
 3514876 
 3512335 
 3509797 
 3507260 
 3504726 
 3502193 
 3499662 
 3497132 
 3494605 
 3492080 
 3489556 
 3487034 
 3484514 
 3481996 
 3479479 
 3476965 
 3474452 
 3471941 
 3469432 
 3466925 
 3464415 
 3461916 
 3459414 
 3456914 
 3454416 
 3451919 
 3449426 
 3446932 
 3444441 
 34419^2 
 ■3439464 
 3436979 
 ■3434495 
 ■3432013 
 •3429532 
 
 9-0052061 9 
 9-0057531 
 9-0062997 9 
 9-0068460 9 
 0073920 9 
 9-0079375 9 
 9-0084827 9 
 9-0090276 9 
 9-00957219 
 9-01011629 
 9-0106600 9 
 9-0112034 9 
 ■0117465 9 
 9 
 9 
 9 
 9 
 9 
 9 
 
 Dii.l Secant 
 
 9-012289 
 
 9-0128315 
 
 9-0133735 
 
 9-0139151 
 
 9-0144564 
 
 9-0149973 
 
 9-0155378 
 9-0160781 
 9-0166179 
 9-0171574 
 9-0176965 
 9-0182353 
 9-0187738 
 9-0193119 
 9-0198496 
 9-0203870 
 9-0209240 
 9-0214607 
 9-0219970 
 9-0225330 
 9-0230687 
 0236039 
 9-0241389 
 9-0246735 
 9-0252077 
 9-0257416 
 9-0262752 
 9-0268084 
 9-0273412 
 3-0278738 
 9-0284059 
 9-0289378 
 9-0294692 
 9-0300004 
 9-0';05312 
 9-0310616 
 
 0315917 
 9-0321215 
 9-0326509 
 9-0331800 
 9-0337088 
 0342372 
 0347652 
 9-0352930 
 9-0358204 
 9-03^'3174 
 9-03o874] 
 9-0374005 
 
 •688181 
 
 ■6885023 
 
 •6888227 
 
 •6891430 
 
 -6894631 
 
 •689783 1 
 
 ■6901030 
 
 ■6904226 
 
 •6907422 
 
 •6910616 
 
 •6913809 
 
 •6917000 
 
 •6920189 
 
 ■6923378 
 ■6926565 
 ■6929750 
 ■6932934 
 6936117 
 6939298 
 
 ■6942478 
 '>946656 
 ■6948833 
 6952009 
 6955183 
 6958355 
 6961527 
 •6964697 
 •6967865 
 •6971032 
 •6974198 
 6977363 
 •6980526 
 6983687 
 6986847 
 6990006 
 6993164 
 6996320 
 -6999474 
 ■7002628 
 -7005780 
 •7008930 
 -7012080 
 -7015227 
 •7018374 
 -7021519 
 -7024663 
 -7027805 
 •7030946 
 -7034086 
 •7037225 
 -7040362 
 -7043497 
 •704663-' 
 -7049765 
 •7052897 
 •7056027 
 •7059156 
 •7062284 
 ■7065410 
 ■7068535 
 •7071659 
 
 Covers. Cotang. Dif. 
 
 10-3118182 
 10-3114977 
 10^311 1778 
 10^3108570 
 10-3105369 
 U)-31021 69 
 10-3098970 
 10-3095774 
 10-3092578 
 10-3089384 
 10-3086191 
 10-3083000 
 10-3079811 
 10-3076622 
 10-3073435 
 10-3070250 
 10-3067066 
 10*3063883 
 10-3060702 
 10-3057522 
 10^3054 344 
 10^3051167 
 10^3047991 
 10-3044817 
 10-3041645 
 10-3038473 
 10-3036303 
 10-3032135 
 10-3028968 
 10-3025802 
 10-3022637 
 10-3019474 
 10-3016313 
 10-3013153 
 10-3009994 
 10-3006836 
 ld-3003680 
 
 10-3000526 
 10-2997372 
 10-2994220 
 10-2991070 
 10-2987920 
 10-2984773 
 10-2981626 
 10-2978481 
 10-2975337 
 10-2972196 
 10-2969054 
 10-2965914 
 10-2962775 
 1 0-2959638 
 10-2956503 
 10-2953368 
 10-2950235 
 10-2947103 
 10-2943973 
 10-2940844 
 10-2937716 
 10-2934590 
 10-2931465 
 ! 0-2928341 
 
 Covers. 
 
 9-7494494 
 
 9-7492472 
 9-7490449 
 
 9-7488426 
 9-7486402 
 9-7484377 
 9-7482352 
 
 9-7480326 
 9-7478299 
 9-7476272 
 9-7474244 
 9-7472216 
 9-7470186 
 7468156 
 9-7466126 
 9^7464 -^gs 
 9-7462063 
 9-7460030 
 9-7457997 
 9-7455963 
 9-7453928 
 9-7451893 
 9-7449857 
 9-7447821 
 9-7445784 
 
 Tanff. 
 
 ■7443746 
 ■7441707 
 ■7439668 
 ■7437628 
 ■7436588 
 7433547 
 ■7431505 
 •7429462 
 7427419 
 •7425375 
 ■7423331 
 •7421286 
 
 9-7419240 
 9-7417193 
 9 7415146 
 9-7413099 
 9-7411050 
 9-7409001 
 
 7406951 
 9-7404901 
 9-7402860 
 9-7400798 
 9-7398745 
 
 7396692 
 9 7394638 
 9-7392584 
 9-7390529 
 9-7388473 
 9-7386416 
 9-7384359 
 9-7382301 
 9-7380243 
 9-7378184 
 9-7376124 
 9-7374063 
 9-7372002 
 
 Verseds, 
 
 Secant D. Cosi 
 
 10-0463398 
 10-0464015 
 10-0464631 
 10-0466249 
 10-0465866 
 10-0466485 
 10-0467103 
 10-0467722 
 10-0468342 
 10-0468962 
 10-0469582 
 10-0470203 
 l0O470S2b 
 
 10-0471447 
 10-0472069 
 10-0472692 
 10-0473315 
 10-0473939 
 ! 0-0474563 
 
 10-0475187 
 10-0475812 
 10-0476438 
 10-0477064 
 10-0477690 
 10-0478317 
 10-0478945 
 10-0479572 
 10-0480201 
 10-0480829 
 10-0481459 
 10-0482088 
 10-0482718 
 10-0483349 
 10-0483980 
 10-0484611 
 10-048.5243 
 10-04«5876 
 
 10-0486508 
 10-0487142 
 10-0487776 
 10-0488410 
 10-0489044 
 10-0489680 
 10-0490315 
 10-0490951 
 10-0491588 
 10-0492225 
 10-0492862 
 10-0493500 
 10-0494139 
 10-0494777 
 10-0495417 
 10-0496056 
 10-0496697 
 10-0497337 
 10-0497978 
 10-0498620 
 10-0499^62 
 10-0499905 
 10-U500548 
 10-0501191 
 
 [n< 
 
 9-95366( 
 9-95359i 
 9'95353( 
 9^95347. 
 9-95341: 
 9-95336 
 9-953281 
 9-9.5322: 
 9-95316 
 9-95310. 
 9-95304 
 '^^' 9-952971 
 9-95291: 
 9-95285, 
 9-95279 
 9-952731 
 9 ■952661 
 9-95260( 
 9-95254; 
 9-95248 
 9-952411 
 9-95235( 
 9-95229; 
 9-95223 
 
 ^9-952,0; 
 ^=^79.95204: 
 6291 
 
 617 
 616 
 618 
 61 7; 
 619 
 618 
 619 
 620 
 620 
 620 
 
 622 
 622 
 622 
 623 
 623 
 624 
 624 
 624 
 
 625 
 626 
 626 
 626 
 
 628 
 630 
 
 Cosec. 
 
 9-95197! 
 
 9-95191; 
 . 19-95185^ 
 ^2919.95179 
 
 J.'^M9-95l66i 
 °3I|9-95160: 
 l^^ 9-95163! 
 ^^29.951471 
 
 9-95141: 
 
 633 
 632 
 634 
 
 634 
 634 
 634 
 636 
 635 
 636 
 637 
 6:^7 
 637 
 638 
 639 
 
 638 
 640 
 639 
 641 
 640 
 641 
 642 
 642 
 643 
 d43 
 643 
 
 D. 
 
 9-95134! 
 
 9-951281 
 9-95122: 
 9-95115! 
 9-95 109J 
 9-95103! 
 9-95096i 
 9-95090' 
 9^95084 
 9^95077: 
 9-95071; 
 9^95065( 
 9-95058( 
 9-95052: 
 9-95045! 
 9-95039' 
 9-.9j033( 
 9-95026( 
 9-95020: 
 9-95013! 
 9-95007; 
 9-95000! 
 9-94994, 
 9'94988< 
 
 Sun 
 
(302) 27 T)eg. natural sinks, Sec, 
 
 Tab. 10- 
 
 ' I Sine 
 
 4539905 
 4642497 
 4545088 
 4547679 
 4550269 
 4652859 
 4555449 
 4558038 
 4560627 
 4563216 
 4565804 
 4568392 
 4570979 
 4573566 
 4576153 
 4578739 
 4581325 
 4583910 
 4586496 
 4589080 
 459166;': 
 4594248 
 4596832 
 4599415 
 4601998 
 
 6460095 
 
 ^^^f 5457503 
 
 fl\ 5454912 
 
 ^^J' 5452321 
 
 1^^^^5449731 
 
 I ^^^° 5447141 
 
 '2589^444551 
 
 5441962 
 
 ,,.^^15439373 : 
 
 :e^«15436784i 
 
 gl5434196i 
 
 ^15431608' 
 
 (5429021 
 
 |S426434 
 
 J5423847 
 
 =^"^1261 
 
 2588} 
 
 '25881^434 
 I 35431. 
 
 2587, 
 2587[ 
 
 2587!' 
 2586;' 
 2586; 
 2585:' 
 
 2586', 
 
 25841] 
 
 25851' 
 
 2583 
 
 2584 
 
 4604580 
 4607162 
 4609744 
 4612325 
 4614906 
 4617486 
 4620066 
 4622646 
 4625225 
 4627804 
 4630382 
 4632960 
 4635538 
 4638115 
 4640692 
 4643269 
 4645845 
 4648420 
 4650996 
 4653571 
 4656145 
 4658719 
 4661293 
 4663866 
 4666439 
 4669012 
 4671584 
 4674156 
 4676727 
 4679298 
 4681869 
 4684439 
 4687009 
 4689578 
 4692147 
 4694716 
 
 Cosine 
 
 Dif. Covers 
 
 ,'542izoi 
 
 5418675 
 
 ,15416090 
 
 |5413504 
 
 15410920 
 
 15408335 
 
 ^15405752 
 
 ^^5403 1 68 
 
 ;^°^:5400585 
 
 ^^g^^;5398002. 
 
 25g2i5395420 : 
 
 Q^P?*? ' 
 
 ^^p:i5390256: 
 
 ;5° 15387675 
 
 ^^^'5385094 
 
 fs^^ 5382514 
 
 5379934 
 
 ;^«^ 5377354 
 
 ^^^^5374775 
 
 2^;^ 5372196 
 
 ,-;^;° 5369618 
 
 2^^^5367040 
 
 ^^^y 5364462 
 
 f.l:L 5361885 
 
 ^ 5359308 
 
 15356731 
 
 I 5354155 
 
 * 5351580 
 
 5349004 
 
 2577 
 2577 
 2576 
 2575 
 2576 
 2575 
 
 2574 
 2573 
 2573 
 2573 
 2572 
 2572 
 2571 
 2571 
 2571 
 2570^^, 
 
 2570 ;g 
 
 2569 'Jf 
 2^^^ 5307 
 
 -"' " 5346429 
 :,.Ct 5343855 
 ^^^4 534,281 
 5338707 
 5336134 
 5333561 
 5330988 
 5328416 
 5325844 
 5323273 
 5320702 
 "18131 
 15561 
 
 118 
 15 
 
 1299 
 )42 
 
 '853 
 
 112991 
 
 5310422 
 5307853 
 5305284 
 
 Dif. Vers. 
 
 C 
 
 osec. 
 
 2-2026893 
 2-2014326 
 2-2001775 
 2-1989240 
 2-1976721 
 2-1964219 
 2-1951733 
 2-1939262 
 2-1926808 
 2-1914370 
 2-1901947 
 2-1889541 
 2-1877150 
 
 1864775 
 1852417 
 1840074 
 1827746 
 1815435 
 1803139 
 
 2-1790859 
 
 2-1778595 
 
 2-1766346 
 
 2-1754113 
 
 2-1741895 
 
 2-1729693 
 
 2-1717506 
 
 2-1705335 
 
 2.1693180 
 
 2-1681040 
 
 2-1668915 
 
 2-1656806 
 
 2-1644712 
 
 2-1632633 
 
 2-1620570 
 
 2-1608522 
 
 2-1596489 
 
 2-1584471 
 
 2-1572469 
 
 2-1660482 
 
 2-1548510 
 
 2-1536553 
 
 2-1524611 
 
 2-1512684 
 
 2-1500772 
 
 2-1488876 
 
 2-1476993 
 
 2-1466127 
 
 2-1453275 
 
 2-1441438 
 
 2-1429615 
 
 2-1417808 
 
 2-140601 
 
 2-1394238 
 
 2-138247 
 
 2-1370726 
 
 2-1368993 
 
 2-1347274 
 
 2-1335570 
 
 2-1323880 
 
 2-1312206 
 
 2-130054. 
 
 Secant 
 
 Tang. 
 
 5095264 
 5098919 
 5102586 
 5106252 
 5109919 
 5113588 
 5117259 
 5120930 
 5124602 
 5128275 
 5131950 
 5135625 
 5139302 
 5142980 
 5146658 
 5150338 
 5154019 
 5157702 
 5161385 
 5165069 
 5168755 
 5172441 
 5176129 
 5179818 
 5183508 
 5187199 
 5190891 
 5194584 
 5198278 
 5201974 
 
 CotanfiT. 
 
 1-9626105 
 1-9612000 
 1-9597910 
 1-9583837 
 l-956978(^ 
 1-9555739 
 1-9541713 
 1-9527704 
 1<-951371I 
 1-9499733 
 1-9485772 
 1-9471826 
 1-9457896 
 
 1-9443981 
 1-9430083 
 1-9416200 
 1-9402333 
 1-9388481 
 1-9374645 
 1-9360826 
 1-9347020 
 1-9333231 
 1-9319457 
 1 -9305699 
 1-9291956 
 
 1-9278228 
 1 -92645 16 
 1-9250819 
 1-9237138 
 1 -.9223472 
 
 5205671 1-9209821 \ 
 
 5209368 
 5213067 
 5216767 
 5220468 
 5224170 
 5227874 
 5231678 
 5235284 
 5238990 
 5242698 
 5246407 
 5250117 
 5253829 
 5257541 
 5261266 
 5264969 
 5268685 
 5272402 
 6276120 
 5279839 
 5283560 
 5287281 
 5291004 
 5294727 
 5298452 
 5302178 
 5305906 
 5309634 
 5313364 
 5317094 
 
 Cotan, 
 
 1-9196186 
 1-9182565 
 1-9168960 
 1-9156370 
 1-9141795 
 1-9128236 
 1-9114691 
 1-9101162 
 1-9087647 
 1-9074147 
 1-9060663 
 1-9047193 
 1-9033738 
 1-9020299 
 1-9006874 
 1-8993464 
 1-8980068 
 1-8966688 
 1-8953322 
 1-89,39971 
 1-8926635 
 1-8913313 
 1-8900006 
 1-8886713 
 1-8873436 
 1-8860172 
 1-8846924 
 1-8833690 
 1-8820470 
 1-8807265 
 
 ang. 
 
 Secant 
 
 1223262 
 1224927 
 1226592 
 1228259 
 1229928 
 1231598 
 1233269 
 1234942 
 1236616 
 1238292 
 1239969 
 1241648 
 1243328 
 1245010 
 1246693 
 1248377 
 1250063 
 1251750 
 1263439 
 1255130 
 1256821 
 1258514 
 1260209 
 1261906 
 1263603 
 1265302 
 1267003 
 1268705 
 1270408 
 1272113 
 1273819 
 1275527 
 1277237 
 1278948 
 1280660 
 1282374 
 1284089 
 1285806 
 1287524 
 1289244 
 1290965 
 1292687 
 1294412 
 
 1296137 
 1297864 
 1299593 
 1301323 
 1303055 
 1304788 
 1306522 
 1308258 
 1309996 
 1311736 
 1313475 
 1315217 
 1316961 
 1318706 
 1320452 
 1322200 
 1323950 
 1325701 
 
 Cosec. 
 
 Ve 
 
 rs. 
 
 1089935 
 1091256 
 1092577 
 1093900 
 1095223 
 1096547 
 1097872 
 
 1099197 
 1100524 
 1101851 
 1103178 
 1104607 
 1106836 
 1107166 
 1108497 
 1109829 
 1111161 
 1112494 
 1113828 
 1115162 
 1116497 
 1 1 1 78;M 
 1119170 
 1120508 
 1121816 
 
 1123185 
 
 112452 
 
 1 125866 
 
 1127207 
 
 1128549 
 
 1129892 
 
 1131235 
 
 1132580 
 
 1133925 
 
 1135270 
 
 1136617 
 
 1137964 
 
 1139312 
 
 1140661 
 
 1142011 
 
 1143361 
 
 1144712 
 
 1146064 
 
 1147416 
 
 1148770 
 
 1160124 
 
 1151478 
 
 1162834 
 
 1154190 
 
 1155547 
 1 1 56905 
 1158264 
 1 1 69623 
 1160983 
 1162344 
 1163706 
 1165067 
 1166431 
 1167794 
 1169159 
 1170624 
 
 Dif. C 
 
 1321 
 1321 
 1323 
 1323 
 1324 
 1325 
 1325 
 1327 
 1327 
 1327 
 1329 
 1329 
 1330 
 1331 
 13,32 
 1332 
 1333 
 1334 
 1334 
 1335 
 
 xosinc 
 
 8910065 
 8908744 
 8907423 
 8906100 
 8904777 
 8903453 
 8902128 
 8900803 
 8899476 
 8898149 
 8896822 
 8895493 
 8894164 
 8892834 
 8891503 
 8890171 
 8888839 
 8887506 
 8886172 
 88848.3-8 
 ,,3..,8883503 
 ''^■'^18882166 
 8830830 
 8879492 
 8878154 
 8876815 
 8875475 
 
 1336 
 1338 
 1338 
 1339 
 1340 
 1341 
 1341 
 1342 
 1343 
 1343 
 1345 
 1345 
 1345 
 1347 
 1347 
 1348 
 1349 
 1360 
 1350 
 1351 
 1352 
 1352 
 1354 
 1354 
 1354 
 1356 
 1356 
 1357 
 1358 
 1359 
 1359 
 1360 
 1361 
 1361 
 1362 
 136-1 
 1363 
 1365 
 1365 
 
 Covers Dit. Sine 
 
 8874134 
 8872793 
 8871451 
 8870108 
 8858765 
 8867420 
 8866075 
 8864730 
 8863333 
 8862036 
 8860688 
 8859339 
 8857989 
 8856639 
 8865288 
 8853936 
 8852584 
 8851230 
 8849876 
 8848522 
 8847166 
 8845810 
 8844453 
 8843095 
 8841736 
 8840377 
 8839017 
 8837656 
 8836295 
 8834933 
 8833569 
 8832206 
 8830841 
 8829476 
 
 Deg. 62, 
 
!27 Deg. 
 
 LOG. SINVES, kc. 
 
 (303) 
 
 Sine iDif. 
 
 9-657046'8 
 9-a572946i 
 9-657o423i 
 9-6"577898j 
 9-6"58037Ii: 
 9-6582842 
 
 2478 
 2477 
 2475 
 2473 
 2471 
 2470 
 
 9.6585312.,4.y 
 
 9-658778oL.«fi 
 
 9-6590246^^^^ 
 
 9-6592710 
 
 9-6595173 
 
 9-6597633 
 
 9-6600093 
 
 9-6602550 
 
 9-6605005 
 
 9-6607459 
 
 9-660991 J 
 
 9-6612361 
 
 9-6614810 
 
 9-6617257 
 9-6619702 
 9-6622145 
 9-6624586 
 9-6627026 
 9-6629464 
 9-6631900 
 9-6634335 
 9-663676S 
 9-6639199 
 9-6641628 
 9-6644056 
 9-6646482 
 9-6648908 
 9-6651329 
 9-6653749 
 9-6656168 
 6658586 
 
 9-6661001 
 9-6663415 
 9-6665828 
 9-6668238 
 9-6670647 
 9-6673054 
 9-6675459 
 9-6677863 
 
 668026.^ 
 9-6682665 
 9-6685064 
 9-6687461 
 
 6689856 
 9-6692250 
 9-6694642 
 9-6697032 
 9-6699420 
 9-6701807 
 9-6704192 
 9-6706576 ^oao 
 
 6708958!,;,^;: 
 
 9-6711338 "^^^ 
 
 2464 
 
 2463 
 
 2460 
 
 2460 
 
 2457 
 
 2455 
 
 2454 
 
 2452 
 
 2450 
 
 2449 
 
 2447 
 
 244 
 
 2443 
 
 2441 
 
 2440 
 
 2438 
 
 2436 
 
 2435 
 
 2433 
 
 2431 
 
 M29 
 
 2428 
 
 2426 
 
 2424 
 2423 
 2420 
 2419 
 2418 
 2415 
 2414 
 241,3 
 2410 
 2409 
 2407 
 2405 
 2404 
 2402 
 2400 
 2399 
 2397 
 2395 
 2394 
 2392 
 2390 
 2388 
 2387 
 2385 
 
 2381 
 
 C( 
 
 jsec. 
 
 9-6713716 
 9-6716093 
 
 2378 
 2377 
 
 •342953 
 
 •3427054 
 
 ■3424577 
 
 •3422102 
 
 •3419629 
 
 ■3417158 
 
 •3414688 
 
 ■3412220 
 
 3409754 
 
 3407290 
 
 3404827 
 
 3402367 
 
 3399907 
 
 3397450 
 
 3394995 
 
 3392541 
 
 3390089 
 
 3387639 
 
 3385190 
 
 •3382743 
 •3380298 
 
 10 
 10 
 
 10-3377855 
 
 10 
 
 10 
 
 10 
 
 Verseds. 
 
 9-0374005 
 9-0379265 
 9-0384522 
 9-0389776 
 9-0395026 
 9-0400273 
 9-0405517 
 9-0410757 
 
 0415994 
 9-0421228 
 
 0426458 
 9-0431685 
 9-0436908 
 9-0442129 
 9-0447345 
 9-0452559 
 9-0457769 
 90462976 
 9-0468 180i9 
 9-0473380|9 
 9-0478578|9 
 
 Tang. |I)if. 
 
 •3375414 
 -3372974 
 •3370536 
 
 3363100 
 3365665 
 3363232 
 3360801 
 3358372 
 3355944 
 3353518 
 3351094 
 3348671 
 3346251 
 3343832 
 3341414 
 3338999 
 3336585 
 3334172 
 3331762 
 3329353 
 3326946 
 3324541 
 3322137 
 3319735 
 3317335 
 3314936 
 3312539 
 3310144 
 3307750 
 3305358 
 3302968 
 3300580 
 3298193 
 
 3295808 
 3293424 
 3291042 
 
 3288662 
 3286284 
 3283907 
 
 •0483771 
 9-0488962 
 9-0494149 
 9-0499333 
 9-0504514 
 9-0509691 
 9-0514865 
 9-0520036 
 9-0525204 
 
 0530368 
 
 9-05 
 
 0535529 
 
 0540687 
 
 0545842 
 
 0550993 
 
 0556141 
 
 0561286 
 
 9-0566428 
 
 9-0571566 
 
 90576701 
 
 9-0581833 
 
 9-0586962 
 
 9-0592088 
 
 9-0597210 
 
 0602329 
 
 9-0607445 
 
 9-0612558 
 
 9-0617668 
 
 •0622774 
 
 -0627877 
 •0632977 
 9-0638074 
 0643168 
 9-0648258 
 9-0663346 
 9-0658430 
 9-0663511 
 9-0668589 
 9-0673663 
 9-0678735 
 9-0683803 
 
 7071659 
 7074781 
 7077902 
 7081022 
 7084141 
 7087258 
 7090374 
 
 7093488 
 
 7096601 
 
 7099713 
 
 7102824 
 
 7105933 
 
 7109041 
 
 7112148 
 
 7115254 
 
 7118358 
 
 7121461 
 
 7124562 
 
 ■7127662 
 
 ■7130761 
 
 ■7133859 
 
 7136956 
 
 7140051 
 
 7143145 
 
 7146237 
 
 7149329 
 
 7152419 
 
 7155508 :,y.- 
 
 7158595™ 
 
 7161682 
 
 7164767 
 
 7167851 
 
 7170933 
 
 7174014 
 
 7177094 
 
 7180173 
 
 7183251 
 
 7186327 
 
 7189402 
 
 7192476 
 
 7195549 
 
 7198620 
 
 7201690 
 
 7204759 
 
 7207827 
 
 7210893 
 
 7213958 
 
 7217022 
 
 722008 
 
 3122 
 
 312 
 
 3120 
 
 3119 
 
 3117 
 
 3116 
 
 3114 
 
 3113 
 3112 
 3111 
 3109 
 3108 
 3107 
 
 3106 
 3104 
 3103 
 3101 
 3100 
 3099 
 3098 
 3097 
 3095 
 3094 
 3092 
 3092 
 3090 
 3089 
 
 ■7223147 
 •7226207 
 •7229266 
 •7232324 
 ■7235381 
 ■7238436 
 
 •7241490 
 •7244543 
 •7247595 
 ■7250646 
 ■7253695 
 •7256744 
 
 3087 
 3085 
 3084 
 3082 
 3081 
 3080 
 3079 
 3078 
 3076 
 3075 
 3074 
 3073 
 3071 
 3070 
 3069 
 3068 
 3066 
 3065 
 3064 
 3063 
 3062 
 
 3060 
 
 3059 
 
 3058 
 
 3057 
 
 3055 
 
 3054 
 
 3053 
 
 3052 
 
 305 
 
 3049 
 
 3049 
 
 Cotang. 
 
 10-2928341 
 
 10-2925219 
 
 10-2922098 
 
 10-2918978 
 
 10-2915859 
 
 10-2912742 
 
 10-2909626 
 
 10-2906512 
 
 10-2903399 
 
 10-2900287 
 
 10-2897176 
 
 10-2894067 
 
 10-2890959 
 
 10-2887852 
 
 10-2884746 
 
 10-2881642 
 
 10-28785, 
 
 10-2875438 
 
 10-2872338 
 
 10-2869239 
 
 10-2866141 
 
 10-2863044 
 
 10-2859949 
 
 10-2856855 
 
 10-2853763 
 
 10-2850671 
 
 10-2847581 
 
 10-2844492 
 
 10-2841405 
 
 10-2838318 
 
 10-2835233 
 
 10-2832149 
 
 10^2829067 
 
 10-2825986 
 
 10-2822906 
 
 10-2819827 
 
 10-2816749 
 
 10-2813673 
 10-2810598 
 10-2807524 
 10-2804451 
 10-2801380 
 10-2798310 
 10-2795241 
 10-2792173 
 10-2789107 
 10-2786042 
 10-2782978 
 10-2779915 
 10-2776853 
 10^2773793 
 10-2770734 
 10-2767676 
 10-2764619 
 10-2761564 
 10-2758510 
 10-2755457 
 10-2752405 
 10-2749354 
 10-2746305 
 10-2743256 
 
 Covers. 
 
 9-7372002 
 
 7369940 
 
 9-7367878 
 
 9-7365814 
 
 9-7363750 
 
 9-7361686 
 
 7359621 
 
 9-7357555 
 
 9-7355488 
 
 9-7353421 
 
 7351353 
 
 9-7349284 
 
 9-7347215 
 
 9-7345145 
 
 9-7343074 
 
 9-7341003 
 
 9^7338931 
 
 9-7336858 
 
 9-7334785 
 
 9-7332711 
 
 7330636 
 
 7328561 
 
 9-7326485 
 
 9-7324408 
 
 7322331 
 
 9-7320252 
 
 9-7318174 
 
 7316094 
 
 7314014 
 
 9-7311933 
 
 9-7309852 
 
 9-7307769 
 
 9-7305686 
 
 9-7303603 
 
 9-7301519 
 
 9-7299434 
 
 9-7297348 
 
 9-7295262 
 
 9-7293175 
 
 9-7291087 
 
 9-7288999 
 
 9-7286910 
 
 9-7284820 
 
 -7282729 
 
 •7280638 
 
 -7278546 
 
 •7276454 
 
 •7274361 
 
 •7272267 
 
 •7270172 
 
 -7268077 
 
 •7265981 
 
 •7263885 
 
 •7261787 
 
 •7259689 
 
 9-7257591 
 
 9-7255491 
 
 9-7253391 
 
 9-7251290 
 
 7249189 
 
 9-7247087 
 
 Secant D. Cosine 
 
 10-0501191 
 10-0501835 
 10-0502479 
 10-0503124 
 10-0503770 
 10-0504415 
 10-0505062 
 
 10-0505708 
 10-0506355 
 10-0507003 
 10-0507651 
 10-0508300 
 10-0508949 
 10-0509598 
 10-0510248 
 10-0510899 
 10-0511550 
 10-0512201 
 10-0512853 
 10-0513505 
 10-0514158 
 10-0514811 
 10-0515465 
 10-0516119 
 10-OSl 67 73 
 10-0517428 
 10-0518084 
 10-0518740 
 10-0519396 
 10-0520053 
 10-0520711 
 10-0521369 
 10-0522027 
 10-0522686 
 10-0523345 
 10-0524005 
 10-0524665 
 10-0525326 
 10-0525987 
 10-0526648 
 10-0527311 
 10-0527973 
 10-0528636 
 10-0529300 
 10-0529964 
 10-0530628 
 10-0531293 
 10-0531958 
 10-0532624 
 10-0533290 
 10-0533957 
 10-0534624 
 10-0535292 
 10-0535960 
 10-0536629 
 10-0537298 
 10-0537968 
 10^0538638 
 10^0539308 
 10-0539979 
 10-0540651 
 
 644 
 644 
 645 
 646 
 645 
 647 
 646 
 647 
 648 
 648 
 649 
 649 
 649 
 650 
 651 
 651 
 651 
 652 
 652 
 653 
 653 
 654 
 654 
 654 
 655 
 656 
 656 
 656 
 657 
 658 
 658 
 
 658 
 659 
 659 
 660 
 660 
 661 
 661 
 661 
 663 
 662 
 663 
 664 
 664 
 664 
 665 
 665 
 666 
 666 
 
 667 
 667 
 668 
 668 
 669 
 669 
 670 
 670 
 670 
 671 
 672 
 
 •9498809 
 '9498165 
 •9497521 
 •9496876 
 •9496230 
 •9495585 
 •9494938 
 •9494292 
 •9493645 
 •9492997 
 •9492349 
 •9491700 
 •9491051 
 •9490402 
 •9489752 
 -9489101 
 -9488450 
 -9487799 
 •9487147 
 
 9486495 41 
 •9485842 40 
 9485189 39 
 
 9484535 
 9483881 
 9483227 
 9482572 
 9481916 
 9-9481260 
 9-9480604 
 9479947 
 9479289 
 ■9478631 
 9477973 
 9477314 
 •9476655 
 ■9475995 
 9475335 
 
 9474674 
 9474013 
 9473352 
 9472689 
 9472027 
 9471364 
 9470700 
 9470036 
 9469372 
 9468707 
 9468042 
 9467376 
 9466710 
 9466043 
 9465376 
 9464708 
 9464040 
 9463371 
 9462702 
 9462032 
 9461362 
 9460692 
 9460021 
 9459349 
 
 Cosine DitJ Secant Covers. Cotang. Dif 
 
 rang. Verseds. Cosec. D.j Sine 
 
 Deg. 63. 
 
(304) 28 Deg. natural sines, kc. 
 
 Tab. Id. 
 
 ' Sine Dif. Covers 
 
 I 
 
 2 
 3 
 4 
 
 5 
 6 
 7 
 
 8 
 
 10 
 
 46047 Hi 
 4«;)72H4 
 4()99«52 
 4-0241.') 
 4704.086' 
 47075i>3 
 4710119 
 1712b'85 
 4715250 
 
 7815 
 4720380 
 4722944 
 4725508 
 4728071 
 4730634 
 4733197 
 4735759 
 4738321 
 4740882 
 4743443 
 4746004 
 4748564 
 
 1124 
 4753683 
 4756242 
 
 4758801 
 4761359 
 4763917 
 4766474 
 4769031 
 4771588 
 4774144 
 4776700 
 4779255 
 4781810 
 4784364 
 478691^ 
 4789472 
 4792026 
 4794579 
 4797131 
 4799683 
 4802235 
 4804786 
 4807337 
 4809888 
 4812438 
 
 12 
 13 
 14 
 15 
 
 16 
 17 
 
 18 
 
 19 
 
 20 
 
 2 
 
 221475 
 
 23 
 
 24 
 
 25 
 
 26 
 
 27 
 
 28 
 
 29 
 
 30 
 
 31 
 
 32 
 
 33 
 
 34 
 
 35 
 
 36 
 
 37 
 
 38 
 
 39 
 
 40 
 
 41 
 
 42 
 
 43 
 
 44 
 
 45 
 
 46 
 
 47 
 
 48 
 
 2:.b. 
 
 2568 
 
 2567 
 
 2567 
 
 2567 
 
 2566 
 
 2566 
 
 2565 
 
 2565 
 
 2565 
 
 2564 
 
 2564 
 
 2563 
 
 2563 
 
 2563 
 
 2562 
 
 2562 
 
 2561 
 
 2561 
 
 2561 
 
 2560 
 
 2560 
 
 2559 
 
 2559 
 
 2559 
 
 2558 
 
 2558 
 
 2557 
 
 2557 
 
 2557 
 
 2556 
 
 2556 
 
 2555 
 
 2555 
 
 2554 
 
 2555 
 
 2553 
 
 2554 
 
 2563 
 
 2552 
 
 2552 
 
 2562 
 
 2551 
 
 2551 
 
 2551 
 
 2550 
 
 48l4987f:5^-f. 
 4817537 ^^^^^ 
 
 4820086 
 4822634 
 4825182 
 4827730 
 4830277 
 4832824 
 4835370 
 4837916 
 4840462 
 4843007 
 4845552 
 4848096 
 
 Cosine Dif. 
 
 2549 
 2548 
 2548 
 2648 
 2547 
 2547 
 2546 
 2546 
 2546 
 2545 
 2545 
 2544 
 
 2-13005 J5 
 2'1288HJ>9 
 2-1277267 
 2-126.%-51 
 2-1254048 
 2-1242460 
 2-1230887 
 2-1219328 
 2-1207783 
 2-1196253 
 i-1 184737 
 2*1 173235 
 2-1161748 
 
 Cosec. 
 
 ranoT. 
 
 05'.>84 
 53027 Hi 
 i30014H 
 5297581 
 295014 
 529"447 
 5289881 
 5287315 
 5284750 
 5282185 
 5279620 
 5277056 
 5274492 
 5271929 
 5269366 
 5266803 
 5264241 
 5261679 
 5259118 
 5256557 
 5253996 
 5251436 
 5248876 
 5246317 
 5243758 
 5241199 
 5238641 
 5236083 
 5233526 
 5230969 
 5228412 
 5225856 
 5223300 
 5220745 
 5218190 
 5215636 
 5213081 
 5210528 
 5207974 
 5205421 
 5202869 
 52003 J 7 
 5197765 
 5195214 
 5192663 
 5190112 
 5187562 
 5185013 
 5182463 
 5179914 
 5177.5fi6 
 5174818 
 5172270 
 5169723 
 5167176 
 516-^G3OjS-O68O940 
 5162084 2-0670056 
 515.9538i2-06.=.9l86 
 5156993 
 5154448 
 5151904 
 
 r>3 17094 
 
 5320826 
 
 .5324559 
 
 5328293 
 
 5332029 
 
 5335765 
 
 5339503 
 
 5343242 
 
 5346981 
 
 5350723 
 
 535446 
 
 5358208 
 
 5361953 
 
 2-1 150274 5366699 
 2-1138815 5369446 
 2-1 127371 15373194 
 2-1 11 59401.5376943 
 2-110452315380694 
 2-109312115384445 
 2-1081733J5388198 
 2-10703&9j5391952 
 2-1058998.5395707 
 2-1047652 5399464 
 2-1036320|5403221 
 2-1 025002,6406980 
 2-1013698 5410740 
 2-100240815414501 
 2-09911315418263 
 2-0979869'5422027 
 2-0968620;5425791 
 2-095738515429557 
 2-09461 64! 5433324 
 2-0934957 5437092 
 2-0923764| 5440862 
 2-0912584 5444632 
 
 Cotang. 
 
 1 -8807265 
 1-8794074 
 1-8780898 
 1-8767736 
 1-8754.588 
 1-87414.55 
 1-8728336 
 
 1-8715231 
 1-8702141 
 1-8689065 
 1-8676003 
 1-8662955 
 1-8649921 
 1-8636902 
 1-8623896 
 1-8610905 
 1-8597928 
 1-8584965 
 1-8572015 
 
 1-85.59080 
 1-8546159 
 1-85332.52 
 1-8520358 
 
 Secant 
 
 1-1326701 
 
 1-1327453 
 
 1-1329207 
 
 1-1330,962 
 
 1-1332719 
 
 M334478 
 
 1-1336238 
 
 1-1337999 
 
 1339762 
 
 1341527 
 
 1343293 
 
 1345060 
 
 1346829 
 
 1348600 
 
 1350372 
 
 1352146 
 
 1353921 
 
 1-1356697 
 
 1-1367476 
 
 1-1359255 
 
 1-1361036 
 
 1-1362819 
 
 1-1364603 
 
 1-8494613 1-1368176 
 
 2-0901418 
 2-0890266 
 
 2-0879127 
 2-0868002 
 2-0856890 
 2-0845792 
 2-0834708 
 2-0823637 
 2-0812580 
 2-0801536 
 2-0790506 
 2-0779489 
 2-0768436 
 2-0757496 
 2-0746519 
 2-0735556 
 2-0724606 
 2-0713670 
 2-0702746 
 2-0691836 
 
 J2-0648328 
 
 <|2-0637484 
 
 2-0626653 
 
 Vers. Secant 
 
 6448404 
 5452177 
 5455951 
 
 5459727 
 5463503 
 5467281 
 5471060 
 
 5474840 
 5478621 
 5482404 
 5486188 
 
 1-8481761 
 
 1-8468923 
 
 1-8456099 
 
 1-8443289 
 
 1-8430492 
 
 1-8417709 
 
 1-8404.940 
 
 1-8392184 
 
 1 -8379442 
 
 1-8366713 
 
 1-8353999 
 
 1-8341297 
 
 1-8328610 
 
 1-8315936 
 
 1-8303275 
 
 1-8290628 
 
 1-8277994 
 
 1 •8265374 
 
 1-825276: 
 
 1-8240173 
 
 I -8227593 
 
 5489973 1-8215026 
 5493759 1-8202473 
 5497547 1-8189932 
 
 5501335 
 5505125 
 5.508916 
 5512708 
 5516.502 
 5520297 
 
 5524093 1 
 
 5627890rl 
 
 1-8177405 
 1-8164892 
 1-8152391 
 1-8139.904 
 1-8127430 
 1-8114969 
 
 5531688 
 553.5488 
 5539288 
 5543091 
 
 Cotan. 
 
 8102521 
 8090086 
 8077664 
 8065256 
 8052860 
 8040478 
 
 T; 
 
 ang. 
 
 Vers. 
 
 1170524 
 1171890 
 117.32.57 
 1174624 
 1175993 
 1177362 
 1178731 
 1180102 
 1181473 
 1182845 
 1184218 
 1185591 
 1186965 
 
 1188340 
 1189716 
 1191093 
 1192470 
 1193848 
 1196226 
 
 1196606 
 1197986 
 1199367 
 1200749 
 1202131 
 1203514 
 1204898 
 1206283 
 1207668 
 1209054 
 1210441 
 1378932! 121 1829 
 
 1369965 
 1371766 
 1373547 
 1375341 
 1377136 
 
 1380730 
 1382529 
 1384330 
 1386133 
 1387937 
 1389742 
 1391550 
 1393358 
 1395169 
 1396980 
 1398794 
 1400608 
 
 M 402425 122.9936 
 1-1404243 12313.34 
 
 1213217 
 1214606 
 12159.96 
 1217.387 
 1218778 
 1220170 
 1221563 
 1222957 
 1224351 
 1225746 
 1227142 
 122S538 
 
 1-1406062 
 1-1407883 
 1-1409706 
 1-1411530 
 
 1413356 
 
 1415183 
 
 1417012 
 
 1418842 
 
 1420674 
 
 1422507 
 
 1-1424342 
 
 1-1426179 
 
 1-1428017 
 
 1-1429857 
 
 1-1431698 
 
 1-14335411 
 
 1232732 
 
 1234132 
 
 1235532 
 
 1236933 
 
 12.38335 
 
 1239737 
 
 124114 
 
 1242545 
 
 1243949 
 
 1245355 
 
 1246761 
 
 1248168 
 
 124957.1 
 
 1250984 
 
 1262393 
 
 1253803 
 
 Cosec. I Covers 
 
 Dif 
 
 osme 
 
 1366 
 1367 
 1367 
 1369 
 1369 
 1369 
 1371 
 1371 
 1372 
 1373 
 1373 
 1.374 
 1375 
 1376 
 1377 
 1377 
 1.378 
 1378 
 1380 
 1380 
 1381 
 1382 
 1382 
 1383 
 1384 
 1385 
 1385 
 1386 
 1387 
 1388 
 1388 
 1389 
 1.390 
 1391 
 1.391 
 1392 
 1393 
 1394 
 1394 
 1.395 
 1396 
 1396 
 1398 
 1398 
 1398 
 1400 
 1400 
 1401 
 1402 
 1402 
 1404 
 1404 
 1404 
 1406 
 1406 
 1407 
 1407 
 1409 
 1409 
 1410 
 
 8829476 
 8828110 
 8826743 
 8825376 
 8824007 
 8822638 
 8821269 
 8819898 
 8818.527 
 8817165 
 J8815782 
 '8814409 
 8813036 
 8811660 
 8810284 
 8808907 
 8807530 
 8806152 
 8804774 
 8803394 
 8802014 
 8800633 
 8799251 
 8797869 
 
 8796486I3G 
 
 8795102 
 8793717 
 8792332 
 
 18790946 
 8789559 
 8788171 
 8786783 
 8785394 
 8784004 
 8782613 
 8781222 
 8779830 
 
 8778437 
 8777043 
 8775649 
 8774254 
 8772858 
 8771462 
 8770064 
 S76S666 
 8767268 
 8765868 
 8764468 
 8763067 
 8761665 
 8760263 
 8758859 
 8757455 
 8756061 
 8754645 
 8753239 
 8751832 
 8750425 
 8749016 
 8747607 
 8746197 
 
 Dii. Sine 
 
 Deg. 61. 
 
28 De^. 
 
 LOG. SINES, SiC. 
 
 (305) 
 
 Sine 
 
 Dif. 
 
 9-6716093 
 t)-6718468 
 
 6720841 
 9-6723213 
 9-6725583 
 9-6727952 
 9-67303*9 
 732684 
 735047 
 9-6737409 
 9-6739769 
 9-6742128 
 9-6744485 
 9-6746840 
 9-6749194 
 
 6751546 
 9-6753896 
 
 675624 
 9-6758592 
 
 9-5760937 
 9-6763281 
 9-6765623 
 9-6767963 
 9-6770302 
 9-6772640 
 9-6774975 
 9-6777309 
 9-6779642 
 9-6781972 
 9-6784301 
 9-6786629 
 
 6788955 
 9-6791279 
 9-6793602 
 9-6795923 
 9-6798243 
 9-6800560 
 9-6802877 
 9-6805191 
 9-6807504 
 9-6809816 
 9-6812126 
 9-6814434 
 9-6816741 
 9-6819046 
 9-6821349 
 9-6823651 
 9-6825952 
 9-6828250 
 9-6830548 
 9-6832843 
 9-6835137 
 9-6837430 
 
 6839720 
 9-6842010 
 9-6844297 
 9-6846583 
 9-6848868 
 9-6851151 
 9-r853432 
 
 (?855712 
 
 Cosec. IVerseds. 
 
 2375 
 2373 
 2372 
 2370 
 2369 
 2367 
 2365 
 
 2363 
 236'2 
 2360 
 2359 
 2357 
 i355 
 
 2354 
 2352 
 2350 
 2349 
 2347 
 2345 
 2344 
 2342 
 2340 
 2339 
 2338 
 2335 
 2334 
 2333 
 2330 
 2329 
 2328 
 2326 
 2324 
 2323 
 2321 
 2320 
 2317 
 2317 
 2314 
 2313 
 2312 
 2310 
 2308 
 2307 
 2305 
 2303 
 2302 
 2301 
 2298 
 2298 
 2295 
 2294 
 2293 
 2290 
 2290 
 2287 
 3286 
 2285 
 2283 
 2281 
 2280 
 
 10-3283907 9-0683803 
 10-3281532 9-0688869 
 
 10-3279159 
 10-3276787 
 10-8274417 
 10-3272048 
 10-3269681 
 10-3267316 
 10-3264953 
 10-3262591 
 10-3260231 
 10-3257872 
 10-3255515 
 10-3253160 
 10-3250806 
 10-3248454 
 10-3246104 
 10-3243755 
 10-3241408 
 10-3239063 
 10-3236719 
 10-3234377 
 10-3232037 
 10-3229698 
 10-3227360 
 
 10-3225025 
 10-3222691 
 10-3220358 
 10-3218028 
 10-3215699 
 10-3213371 
 10-3211045 
 10-3208721 
 10-3206398 
 10-3204077 
 10-3201757 
 10-3199440 
 
 10-3197123 
 10-3194809 
 10-3192496 
 10-3190184 
 10-3187874 
 10-3185566 
 10-3183259 
 10-3180954 
 10-3178651 
 10-3176349 
 10-3174048 
 10-3171750 
 10-3169452 
 10-3167157 
 10-3164863 
 10-3162570 
 10-3160280 
 10-3157990 
 10-3155703 
 10-3153417 
 10-3151132 
 10-3148849 
 10-3146568 
 10-3144288 
 
 an^. 
 
 Dif. 
 
 9-0693931 
 9-0698990 
 9-0704046 
 9-0709099 
 9-0714148 
 9-0719195 
 9-0724238 
 9-0729279 
 9-0734316 
 9-0739350 
 9-0744381 
 9-0749409 
 9-0754434 
 9-0759455 
 9-0764474 
 9-0769490 
 9-0774502 
 90779511 
 9-0784518 
 9-0789521 
 9-0794521 
 9-0799518 
 9-0804512 
 9-0809503 
 9-0814491 
 9-0819476 
 9-0824458 
 
 0829437 
 9-0834413 
 9-0839386 
 90844356 
 9-0849322 
 9-0854286 
 9-0859247 
 9-0864204 
 9-0869159 
 9-0874111 
 9-0879059 
 9-0884005 
 9-0888948 
 9-0893887 
 9-0898824 
 
 0903758 
 9-0908688 
 
 •0913616 
 9-0918541 
 9-0923462 
 9-0928381 
 9-0933297 
 9-0938210 
 9-0943120 
 9-094802 
 9-0952931 
 9-0957832 
 9-0962730 
 9-0967625 
 9-0972517 
 9-0977406 
 
 9-7256744 
 9-7259791 
 9-7262837 
 9-7265881 
 9-7268925 
 9-7271967 
 9-7275008 
 9-7278048 
 9-7281087 
 9-7284124 
 9-7287161 
 9-7290196 
 9-7293230 
 9-7ii96263 
 9-7299295 
 97302325 
 97305354 
 97308383 
 9-7311410 
 
 9-7314436 
 97317460 
 9-7320484 
 97323506 
 9732652 
 9-7329547 
 97332566 
 9-7335584 
 97338601 
 9-7341616 
 97344631 
 9-7347644 
 9-7350656 
 97353667 
 97356677 
 9-7359685 
 9-7362693 
 9-7365699 
 97368705 
 9-7371709 
 9-7374712 
 7377714 
 9-7380715 
 9-7383714 
 9-7386713 
 9-7389710 
 9-7392707 
 9-7395702 
 97398696 
 9-7401689 
 9-7404681 
 9-7407672 
 9-7410662 
 9-7413650 
 9-7416638 
 9-7419624 
 
 9-7422609 
 9-7425594 
 9-7428577 
 9-7431559 
 9-7434540 ; 
 
 9-098229319-7437520 
 
 3047 
 3046 
 3044 
 ^044 
 3042 
 3041 
 3040 
 3039 
 3037 
 3037 
 3035 
 3034 
 3033 
 3032 
 3030 
 3029 
 3029 
 3027 
 3026 
 
 3024 
 3024 
 3022 
 3021 
 3020 
 3019 
 3018 
 3017 
 3015 
 3015 
 3013 
 3012 
 3011 
 3010 
 3008 
 3008 
 3006 
 3006 
 3004 
 3003 
 3002 
 3001 
 2999 
 2999 
 
 2997 
 2997 
 2995 
 2994 
 2993 
 2992 
 2991 
 2990 
 2988 
 2988 
 2986 
 2985 
 2985 
 2983 
 2982 
 2981 
 12980 
 
 Cotan^. Covers. 
 
 10-2743256 
 
 9-7247087 
 
 10-2740209 
 10-2737163 
 10-2734119 
 10-2731075 
 10-2728033 
 10-2724992 
 10-2721952 
 10-2718913 
 10-2715876 
 10*2712839 
 10-2709804 
 10-2706770 
 10-2703737 
 10-2700705 
 10-2697675 
 10-2694646 
 10-2691617 
 10-2688590 
 
 10-2685564 
 10-2682540 
 10-2679516 
 10-2676494 
 10-2673473 
 10-2670453 
 10-2667434 
 10-2664416 
 10-2661399 
 10-2658384 
 10-2655369 
 10-2652356 
 10-2649344 
 10-2646333 
 10-2643323 
 10-2640315 
 10-2637307 
 10-2634301 
 10-2631295 
 10-2628291 
 10-2625288 
 10-2622286 
 10-2619285 
 10-2616286 
 10-2613287 
 10-2610290 
 10-2607293 
 10-2604298 
 10-2601304 
 10-2598311 
 10-2595319 
 10-2592328 
 
 0-2589338 
 10-2586350 
 10-2583362 
 10-2580376 
 10-2577391 
 10-2574406 
 10-2571423 
 
 10.2568441 
 
 97244984 
 9-7242880 
 9-7240776 
 9-7238671 
 9-7236565 
 9-7234459 
 9-7232352 
 9-7230244 
 9-7228136 
 
 7226027 
 97223917 
 9-7221807 
 9-7219695 
 
 7217584 
 9-7215471 
 9-7213358 
 
 9-7211244 10-0552138 
 
 9-7209129 
 
 9-7207014 
 
 7204898 
 
 9-7202781 
 
 97200663 10-0555543 
 
 Secant 
 
 D. 
 
 10-0540651 
 10-0541323 
 10-054199:. 
 10-0542668 
 100543341 
 100544015 
 10-0544690 
 10-0545364 
 10-0546040 
 10-0546715 
 10-0547391 
 10-0548068 
 10-0548745 
 10-054942.3 
 10-0550101 
 10-0550780 
 10-0551459 
 
 10-0552818 
 10-0553499 
 10-0554179 
 10-0554861 
 
 Cosii 
 
 9-9459349 
 9-9458677 
 9-9458005 
 9-9457332 
 9-9456659 
 9-9455985 
 9-9455310 
 
 672 
 672 
 673 
 673 
 674 
 675 
 674 
 ^^Q 9-9454636 
 
 97198545 10-0556225 
 97196426 10-0556908 
 97194307 10-0557591 
 9-7192186 10-0558275 
 97190066 10-0558959 
 97187944 10-0559644 
 97185821 10-0560329 
 97183698 10-0561015 
 97181575 10-0561701 
 97179450 10-0562388 
 97177325 10-0563076 
 9-7175199 10-0563762 
 97173072 10-0564451 
 97170945 10-0565139 
 
 97168817 10-0565828 
 97166688 10-0566518 
 9-7164559 10-0567208 
 9-7162429 10-0567898 
 9-7160298 10-0568589 
 97158166 10-0569280 
 9-7156034 10-0569972 
 9-7153901 100570665 
 97151768 10-0571357 
 97149633 10-0572051 
 9-7147498 10-0572745 
 97145362 10-0573439 
 97143226 10-0574134 
 97141089 10-0574829 
 97138951 10-0575524 
 97136812 10-0576221 
 9-7134673 10-0576917 
 9-7132533 10-0577614 
 9-7130392 10-0578312 
 9-7128250 10-0579010 
 97126108 10-0579709 
 97123965110-0580408 
 10-2565460i97121822 10-0581107 
 1 0-256248097 1 1 9677 1 0-058 1 807 
 
 675 
 676 
 677 
 677 
 678 
 678 
 79 
 679 
 679 
 680 
 681 
 680 
 682 
 682 
 682 
 683 
 683 
 684 
 684 
 685 
 685 
 686 
 686 
 687 
 687 
 687 
 689 
 
 6n8 
 
 689 
 690 
 690 
 690 
 691 
 691 
 692 
 
 692 
 
 692 
 
 694 
 
 694 
 
 694 
 
 695 
 
 695 
 
 695 
 
 697 
 
 696 
 
 697 
 
 698 
 
 698 
 
 699' 
 
 699' 
 
 6991 
 
 700 
 
 9-9453960 
 
 9-945328 
 
 9-9452609 
 
 9-9451932 
 
 )-9451255 
 
 )-9450577 
 9-9449899 
 9-9449220 
 9-9448541 
 9-9447862 
 9-9447182 
 9-9446501 
 
 9445821 
 9-9445139 
 9-944445 
 9-9443775 
 
 9443092 
 
 9-9442409 
 
 9-9441725 
 
 9-944104 
 
 9-9440356 
 
 9-9439671 
 
 9-9438985 
 
 9-9438299 
 
 9-9437612 
 
 9-9436925 
 
 9-9436238 
 
 9-9435549 25 
 
 9-9434861 
 
 9-9434172 
 
 9-9433482 
 
 9-9432792 
 
 9-9432102 
 
 9-943141 
 
 9-9430720 
 
 9-9430028 
 9429335 
 9-9428643 
 9427949 
 9427255 
 9-9426561 
 9-9425866 
 9-9425171 
 9-9424476 
 9-9423779 
 9-9423083 
 9-9422386 
 9-9421688 
 9-9420990 
 9-9420291, 
 9-9419592 
 19-9418893 
 9-94i8!93 
 
 ' Cosine Dif. Secant Covers, i Cotang.|Dif. Tang. IVerseds. Cosec. D.| Sinr 
 
 3 II 
 
 Deg. 61. 
 
(306) 29 Deg. natural sines, &c 
 
 Sine Dif. 
 
 4848096 
 
 4850G40 
 
 1853184 
 
 485572 
 
 4858270 
 
 4860812 
 
 4863354 
 
 4865895 
 
 4868436 
 
 4870977 
 
 4873517 
 
 4876057 
 
 4878597 
 
 4881136 
 
 4883674 
 
 4886212 
 
 4888750 
 
 174891288 
 
 4893825 
 4896361 
 4898897 
 4901433 
 4903968 
 4906503 
 4909038 
 4911572 
 4914105 
 4916638 
 4919171 
 4921704 
 4924236 
 4926767 
 4929298 
 4931829 
 4934359 
 4936889 
 4939419 
 4941948 
 4944476 
 4947005 
 4949532 
 4952060 
 4954587 
 4957113 
 4959639 
 4962165 
 4964690 
 4967216 
 4969740 
 4972264 
 4974787 
 4977310 
 4979833 
 1982355 
 4984877 
 
 4987399 
 64989920 
 4992441 
 4994961 
 4997481 
 5000000 
 
 2544 
 2544 
 2543 
 2543 
 2542 
 2542 
 2541 
 2541 
 2541 
 2540 
 2540 
 2540 
 2539 
 2538 
 2538 
 2538 
 2538 
 2537 
 i536 
 
 2536 
 2536 
 2535 
 2535 
 2535 
 2534 
 2533 
 2533 
 2533 
 2533 
 2532 
 2531 
 2531 
 2531 
 2530 
 2530 
 2530 
 2529 
 2528 
 2529 
 2527 
 2528 
 2527 
 2526 
 2526 
 2526 
 2525 
 2525 
 2525 
 2524 
 2523 
 2523 
 2523 
 2522 
 2522 
 2522 
 252] 
 2521 
 2520 
 2520 
 2519 
 
 Covers 
 
 5151904 
 5149360 
 5146816 
 5144273 
 5141730 
 5139188 
 136646 
 5134105 
 5131564 
 5129023 
 5126483 
 5123943 
 5121403 
 5118864 
 5116326 
 5113788 
 5111250 
 5108712 
 5106176 
 5103639 
 5101103 
 5098567 
 5096032 
 5093497 
 5090962 
 
 5088428 
 5085895 
 5083362 
 5080829 
 078296 
 5076764 
 5073233 
 5070702 
 5068171 
 5065641 
 5063111 
 5060581 
 5058052 
 5055524 
 5052995 
 5060468 
 5047940 
 5045413 
 
 5042887 
 5040361 
 5037835 
 5035310 
 5032785 
 
 Cosec. 
 
 2-0626653 
 2-0615836 
 2-0605031 
 2-0594239 
 2-0583460 
 2-0572695 
 2-0561942 
 2-0551203 
 2-0540476 
 2-0529762 
 2-0519061 
 2-0508373 
 
 URAL 
 
 Tang 
 
 Tab. 10. 
 
 5543091 
 5546894 
 5550698 
 5554504 
 5558311 
 5562119 
 5565929 
 5569739 
 5573551 
 5577364 
 5581179 
 5584994 
 
 2-0497698 5588811 
 
 2-0487036 
 2-0476386 
 2'0465750 
 2-0455126 
 2-0444516 
 2-0433916 
 2-0423330 
 2-0412757 
 2-0402197 
 2-0391649 
 2-0381114 
 2-0370592 
 2-0360082 
 2-0349585 
 2-0339100 
 2-0328628 
 2-0318168 
 2-0307720 
 
 2-0297286 
 2-0286863 
 0276453 
 2-0266056 
 2-0256670 
 2-0245297 
 2-0234937 
 2-0224689 
 2-0214253 
 2-0203929 
 2-0193618 
 2-0183318 
 2-0173031 
 2-0162756 
 2-0152494 
 2-0142243 
 ^0 132005 
 
 5030260j2-012l779 
 5027^36 2-01 11564 
 5025213 2-0101362 
 
 5022690 
 5020167 
 5017645 
 5015123 
 5012601 
 5010080 
 5007559 
 5005039 
 5002519 
 6000000 
 
 2-0091172 
 2-0080994 
 2-0070828 
 2-0060674 
 2-0050532 
 2-0040402 
 2-0030283 
 2-0020177 
 2-0010083 
 2-0000000 
 
 5592629 
 5696449 
 5600269 
 5604091 
 5607914 
 5611738 
 5615564 
 5619391 
 5623219 
 5627048 
 5630879 
 5634710 
 5638543 
 5642378 
 5646213 
 5650050 
 5653888 
 5657728 
 5661568 
 5665410 
 5669254 
 5673098 
 5676944 
 5680791 
 5684639 
 5688488 
 5692339 
 5696191 
 5700045 
 5703899 
 5707755 
 6711612 
 5715471 
 5719331 
 5723192 
 5727054 
 5730918 
 5734783 
 5738649 
 5742516 
 5746385 
 5750255J1 
 57541 26|l 
 1 
 1 
 1 
 1 
 
 Cotanff. 
 
 5757999 
 5761873 
 5765748 
 5769626 
 5773503 
 
 8040478 
 8028108 
 8015751 
 8003408 
 7991077 
 797S759 
 7966454 
 7954162 
 7941883 
 7929616 
 7917362 
 7905121 
 7892893 
 7880678 
 7868475 
 7856285 
 7844107 
 7831943 
 7819790 
 
 7807651 
 7795524 
 7783409 
 7771307 
 7759218 
 7747141 
 7735076 
 7723024 
 7710985 
 7698958 
 7686943 
 7674940 
 7662960 
 7650972 
 7639007 
 7627053 
 7615112 
 7603183 
 
 7691267 
 7579362 
 7567470 
 7555590 
 7643722 
 7531866 
 7620023 
 7608191 
 7496371 
 7484564 
 7472768 
 7460984 
 7449213 
 7437453 
 7425705 
 7413969 
 7402245 
 7390533 
 7378833 
 7367144 
 7355468 
 7343803 
 7332149 
 7320508 
 
 Secant Vers. Dii. Cosine 
 
 433541 
 
 435385 
 
 43723 
 
 439078 
 
 440927 
 
 442778 
 
 444630 
 
 446484 
 
 448339 
 
 450196 
 
 452055 
 
 453915 
 
 455776 
 
 457639 
 
 459504 
 
 461371 
 
 463238 
 
 465108 
 
 466979 
 
 468852 
 
 470726 
 
 472602 
 
 474479 
 
 476358 
 
 478239 
 
 480121 
 
 482005 
 
 483890 
 
 485777 
 
 487666 
 
 489556 
 
 491447 
 493340 
 495235 
 497132 
 499030 
 500930 
 502831 
 504734 
 506638 
 508644 
 510462 
 512361 
 514272 
 616185 
 518099 
 520015 
 621932 
 523861 
 525772 
 527694 
 529618 
 531543 
 533470 
 535399 
 537329 
 639261 
 641195 
 543130 
 645067 
 547005 
 
 1253803 
 1255214 
 1256625 
 1258037 
 1259450 
 1260863 
 1262278 
 1263693 
 1265109 
 1266525 
 126794: 
 1269360 
 1270779 
 
 1272199 
 1273619 
 1275040 
 1276462 
 1277884 
 1279307 
 1260731 
 1282166 
 1283581 
 1285007 
 1286434 
 1287862 
 
 1289290 
 1290719 
 1292149 
 1293580 
 1295011 
 1296443 
 1297876 
 1299309 
 1300744 
 1302179 
 1303614 
 1305061 
 1306488 
 1307926 
 1309364 
 1310804 
 1312244 
 1313685 
 1315126 
 1316569 
 1318012 
 1319456 
 1320900 
 1322346 
 1323791 
 1325238 
 1326686 
 1328134 
 1329583 
 1331033 
 1332483 
 1333934 
 1335386 
 1336839 
 1338292 
 1339746 
 
 1411 
 1411 
 1412 
 1413 
 1413 
 1415 
 1415 
 1416 
 1416 
 1417 
 1418 
 1419 
 1420 
 1420 
 1421 
 1422 
 1422 
 1423 
 1424 
 1425 
 1425 
 1426 
 1427 
 1428 
 1428 
 1429 
 1430 
 1431 
 1431 
 1432 
 1433 
 
 1433 
 1435 
 1435 
 1435 
 1437 
 1437 
 1438 
 1438 
 1440 
 1440 
 1441 
 1441 
 1443 
 1443 
 1444 
 1444 
 1445 
 1446 
 1447 
 1448 
 1448 
 1449 
 1450 
 1450 
 1451 
 1452 
 1453 
 1453 
 1454 
 
 8746197 
 8744786 
 8743375 
 8741963 
 8740550 
 8739137 
 8737722 
 
 8736307 
 
 873489 
 
 8733475 
 
 8732058 
 
 8730640 
 
 8729221 
 
 8727801 
 
 8726381 
 
 8724960 45 
 
 8723538 
 
 872211 
 
 8720693 
 
 8719269 
 
 8717844 
 
 8716419 
 
 87 1499 ■( 
 
 8713566 
 
 8712138 
 
 8710710 
 
 8709281 
 
 8707851 
 
 8706420 
 
 8704989 
 
 8703567 
 
 8702124 
 
 8700691 
 
 8699266 
 
 8697821 
 
 8696386 
 
 8694949 
 
 8693512 
 
 869207? 
 
 8690636 
 
 8689196 
 
 8687756 
 
 8686315 
 
 8684874 
 
 8683431 
 
 8681988 
 
 8680544 
 
 8679100 
 
 8677655 
 
 8676209 
 8674762 
 8673314 
 8671866 
 8670417 
 8668967 
 8667517 
 S666066 
 8664614 
 8663161 
 8661708 
 8660264 
 
 ' Cosine Dif. 
 
 Vers 
 
 Secant 
 
 Cotan. 
 
 Tang. Cosec. CoversjDif. Sine 
 
 Des. 60. 
 
29 Degr. 
 
 LOG. SINES, &C. 
 
 (307) 
 
 Sine 
 
 Dii 
 
 9-685571:2 
 9-6857991 
 9-6860267 
 9-6'862542 
 9-6864816 
 9-6867088 
 9-6869359 
 
 9-6871628 
 9-G873895 
 9 9-6876161 
 9-6878425 
 9-6880688 
 9-6882949 
 9-6885209 
 9-6887467 
 9-6889723 
 9-6891978 
 9-6894232 
 9-6896484 
 9-6898734 
 9-6900983 
 9-690323) 
 9-6905476 
 6907721 
 9-6909964 
 9-6912205 
 9-6914445 
 9-6916683 
 9-6918919 
 9-6921155 
 9-6923388 
 9-6925620 
 9-692785 
 9-6930080 
 9-6932308 
 9-6934534 
 9-6936758 
 9-6938981 
 9-6941203 
 9-6943423 
 9-6945642 
 9-6947859 
 9-6950074 
 9-6952288 
 9-6954501 
 9-6956712 
 9-6958922 
 9-6961130 
 9-6963336 
 9-6965541 
 9-696774b 
 9-6969947 
 9-6972148 
 9-6974347 
 9-6976545 
 9-6978741 
 9-6980936 
 9-6983129 
 9-6985321 
 9-6987511 
 
 10 
 11 
 12 
 
 13 
 
 14 
 
 15 
 
 16 
 
 17 
 
 18 
 
 1 
 
 20 
 
 21 
 
 22 
 
 23 
 
 24 
 
 25 
 
 26 
 
 27 
 
 28 
 
 29 
 
 30 
 
 31 
 
 32 
 
 33 
 
 34 
 
 35 
 
 36 
 
 37 
 
 38 
 
 39 
 
 40 
 
 41 
 
 42 
 
 43 
 
 44 
 
 45 
 
 46 
 
 47 
 
 48 
 
 49 
 
 50 
 
 51 
 
 52 
 
 53 
 
 54 
 
 55 
 
 56 
 
 57 
 
 58 
 
 59 
 
 Coscc. 
 
 609-6989700 
 
 2279 
 2276 
 2275 
 2274 
 2272 
 2271 
 2269 
 226/ 
 2266 
 2264 
 2263 
 2261 
 2260 
 2258 
 2256 
 2255 
 2254 
 2252 
 2250 
 2249 
 2248 
 2245 
 2245 
 2243 
 2241 
 2240 
 2238 
 2236 
 2236 
 2233 
 2232 
 
 2231 
 2229 
 2228 
 2226 
 2224 
 2223 
 2222 
 2220 
 2219 
 2217 
 2215 
 2214 
 
 2213 
 2211 
 2210 
 2208 
 2206 
 2205 
 2204 
 2202 
 2201 
 2199 
 2198 
 2196 
 2195 
 2193 
 2192 
 2190 
 2189 
 
 Cosine 
 
 10-3144288 
 0-3142009 
 10-3139733 
 10-3137458 
 J 0-3 135 184 
 10-3132912 
 10-3130641 
 10-3128372 
 10-3126105 
 10-3123839 
 10-31215 
 0-3119312 
 10-3117051 
 10-3114791 
 10-3112533 
 10-3110277 
 10-3108022 
 10-3105768 
 10-3103516 
 10-3101266 
 10-3099017 
 10-3096769 
 10-3094524 
 10-3092279 
 10-3090036 
 10-3087795 
 10-3085555 
 10-3083317 
 10-308108 
 10-3078845 
 10-3076612 
 10-3074380 
 10-3072149 
 10-3069920 
 10-3067692 
 10-3065466 
 10-3063242 
 10-3061019 
 10-3058797 
 10-3056577 
 10-3054358 
 10-3052141 
 10-3049926 
 10 3047712 
 10-3045499 
 10-3043288 
 10-3041078 
 10-3038870 
 10-3036664 
 10-3034459 
 10-3032255 
 10-3030053 
 10-3027852 
 10-3025653 
 10-3023455 
 10-3021259 
 10-3019064 
 10-3016871 
 10-3014679 
 10-3012489 
 10-3010300 
 
 Vci'seds 
 
 lang. Dif, 
 
 9-0982293 
 
 9-0987176 
 
 9-0992057 
 
 9(996934 
 
 91001809 
 
 9-1006681 
 
 9-1011549 
 
 -1016415 
 
 9-1021278 
 
 9-1026138 
 
 9-1030995 
 
 ■1035850 
 
 ■1040701 
 
 ■1045550 
 
 ■1050395 
 
 ■1055238 
 
 •1060078 
 
 •1064915 
 
 9-1069749 
 
 9-1074580 
 
 •1079408 
 
 9-1084234 
 
 9-1089056 
 
 9-1093876 
 
 9-1098693 
 
 9-1103507 
 9-1108318 
 9-1113126 
 9-1117932 
 9-1122735 
 9-1127534 
 
 1132331 
 9-1137125 
 
 1141917 
 9-1146705 
 9-1151491 
 •1156274 
 9-1161054 
 9-1165831 
 9-1170606 
 9-1175377 
 9-1180146 
 9-1184912 
 
 9-118967 
 
 9-1194436 
 
 9-1199193 
 
 9-1203948 
 
 9-1208700 
 
 9-1213449 
 
 9-1218196 
 
 9-1222939 
 
 9-1227680 
 
 9-1232419 
 
 9-1237154 
 
 9-1241887 
 
 9-1246617 
 
 9-1251344 
 
 9-1256068 
 
 9-1260790 
 
 9-1265508 
 
 9-1270225 
 
 Dif. Secant 
 
 9-7437520 
 9-7440499 
 9-7443476 
 9-7446453 
 9-7449428 
 7452403 
 9-7455376 
 9-7458349 
 9-7461320 
 9-7';64290 
 9-7467259 
 9-7470227 
 9-7473194 
 9-7476160 
 9-7479125 
 9-7482089 
 9-7485052 
 9-7488013 
 9-7490974 
 9-7493934 
 9-7496892 
 9-7499850 
 9-7502806 
 9-7505762 
 9-7508716 
 9-7511669 
 9-7514622 
 9-7517573 
 9-7520523 
 9-7523472 
 7526420 
 9-7529368 
 9-7532314 
 9-7535259 
 9-7538203 
 9-7541146 
 9-7544088 
 9-7547029 
 9-7549969 
 9-7552908 
 9-7555846 
 9-7558783 
 9-75617 
 9-7564653 
 9-7567587 
 7570520 
 9-7573452 
 9-7576383 
 9-7579313 
 9-7582242 
 9-7585170 
 9-7588096 
 9-7591022 
 9-7593947 
 9-7596871 
 9-7599794 
 9-7602716 
 9-7605637 
 9-7608557 
 9-7611476 
 9-7614394 
 
 Cotaiiji;. 
 
 Covers. 
 
 Covers. 
 
 2979 
 2977 
 2977 
 2975 
 2975 
 2973 
 2973 
 2971 
 2970 
 2969 
 2968 
 2967 
 2966 
 
 2965 
 
 29G 
 
 2963 
 
 •2961 
 
 2961 
 
 2960 
 
 2958 
 
 2958 
 
 2956 
 
 2956 
 
 2954 
 
 2953 
 
 2953 
 
 2951 
 
 2950 
 
 2949 
 
 2948 
 
 2948 
 
 2946 
 
 2945 
 
 2944 
 
 2943 
 
 2942 
 
 2941 
 
 2940 
 
 2939 
 
 2938 
 
 2937 
 
 2935 
 
 2935 
 
 2934 
 
 2933 
 
 2932 
 
 2931 
 
 2930 
 
 2929 
 
 2928 
 
 2926 
 
 2926 
 
 2925 
 
 2924 
 
 2923 
 
 2922 
 
 2921 
 
 2920 
 
 2919 
 
 2918 
 
 10-2562480 
 10-2559501 
 10-2556524 
 10-2553547 
 10-2550572 
 10-2647597 
 10-2544624 
 
 10-2541651 
 10-2538680 
 
 9-7119677 
 9-7117532 
 9-7115387 
 9-7113240 
 9-7111093 
 9-7108945 
 9-7106797 
 
 9-7104647 
 9-7102497 
 
 10-2535710 9-7100346 
 
 10-2532741 
 10-2529773 
 10-2526806 
 10-2523840 
 10-2520875 
 10-2517911 
 
 9-7098195 
 9-7096043 
 9-7093890 
 9-7091736 
 9-7089582 
 9-7087427 
 
 10-2514948{9-7085271 
 10-2511987 9-7083115 
 10-2509026 9-7080957 
 10-2506066 9-7078799 
 10-2503108 9-7076641 
 10-2500150 9-7074481 
 
 Cotang. 
 
 10-2497194 
 10-2494238 
 10-2491284 
 10-2488331 
 10-2485378 
 10-2482427 
 10-2479477 
 10-2476528 
 10-2473580 
 10-2470632 
 10-2467686 
 10-2464741 
 10-2461797 
 10-2458854 
 10-2455912 
 10-2452971 
 10-2450031 
 10-2447092 
 10-2444154 
 10-2441217 
 10-2438282 
 
 10-2435347 
 10-2432413 
 10-2429480 
 10-2426548 
 10-2423617 
 10-2420687 
 10-2417758 
 10-2414830 
 10-2411904 
 10-2408978 
 10-2406053 
 10-2403129 
 10-2400206 
 10-2397284 
 10-2394363 
 10-2391443 
 10-2388524 
 10-2385606 
 
 Secant 
 
 D. 
 
 9-7072321 
 9-7070160 
 9-7067999 
 
 9-7065837 
 9-7063674 
 9-7061510 
 9-7059346 
 9-7057180 
 
 7055015 
 9-7052848 
 9-7050681 
 
 7048513 
 9-7046344 
 9-7044174 
 9-7042004 
 9-7039833 
 9-7037661 
 9-7035489 
 9-7033316 
 9-7031142 
 9-7028967 
 9-7026792 
 9-7024616 
 9-7022439 
 9-7020262 
 
 7018034 
 9-7015905 
 
 7013725 
 
 7011545 
 9-7009363 
 9-7007182 
 9-7004999 
 9-7002816 
 9-7000631 
 9-6998447 
 9-6996261 
 
 6994075 
 9-6991888 
 9-6989700 
 
 Dif.l Tang. 
 3 R 2 
 
 10-0581807 
 
 10-0582508 
 
 10-0583209 
 
 10-0583910 
 
 10-0584612 
 
 10-0585315 
 
 10-0586018 
 
 10-0586721 
 
 10-0587425 
 
 10-0588129 
 
 10-0588834 
 
 10-0589539 
 
 10-0590245 
 
 10-0590952 
 
 10-0591658 
 
 10-0592366 
 
 10-0593073 
 
 10-0593781 
 
 10-0594490 
 
 10-0595199 
 
 10-0595909 
 
 10-0596619 
 
 10-0597330 
 
 10-0598041 
 
 10-0598752 
 
 10-0599465 
 
 10-0600177 
 
 10-0600890 
 
 100601604 
 
 10-060231 
 
 10-0603032 
 
 10-0603747 
 
 10-0604463 
 
 10-0605179 
 
 10-0605895 
 
 10-0606612 
 
 10-0607329 
 
 10-0608047 
 
 10-0608766 
 
 10-0609485 
 
 10-0610204 
 
 10-0610924 
 
 10-0611644 
 
 10-061236 
 
 10-0613086 
 
 10-0613808 
 
 10-0614530 
 
 10-0615253 
 
 10-0615976 
 
 10-0616700 
 
 10-0617424 
 
 10-0618149 
 
 10-0618874 
 
 10-0619600 
 
 10-0620326 
 
 10-0621053 
 
 10-0621780 
 
 10-0622508 
 
 10-0623236 
 
 10-0623965 
 
 10-0624694 
 
 Verseds. 
 
 701 
 
 701 
 
 701 
 
 702 
 
 703 
 
 703 
 
 703 
 
 704 
 
 704 
 
 705 
 
 705 
 
 706 
 
 707 
 
 706 
 
 708 
 
 707 
 
 708 
 
 709 
 
 709 
 
 710 
 
 710 
 
 711 
 
 711 
 
 711 
 
 713 
 
 712 
 
 713 
 
 714 
 
 714 
 
 714 
 
 715 
 
 716 
 
 716 
 
 716 
 
 717 
 
 717 
 
 71 
 
 71 
 
 719 
 
 719 
 
 720 
 
 720 
 
 721 
 
 721 
 
 722 
 
 722 
 
 723 
 
 723 
 
 724 
 
 724 
 
 725 
 
 725 
 
 726 
 
 726 
 
 727 
 
 727 
 
 728 
 
 728 
 
 729 
 
 729 
 
 9-9418193 60 
 9-941749259 
 
 Cosine 
 
 Cosec. 
 
 9-9416791 
 9-9416090 
 9-9415388 
 9-9414685 
 9-9413982 
 
 9-9413279 
 9-941257 
 9-941187 
 9-9411166 
 9410461 
 9-9409755 
 
 9409048 
 9-9408342 
 9-9407634 
 9-9406927 
 9-940621 
 9-9405510 
 9-9404801 
 9-9404091 
 9-9403381 
 
 9402670 
 9-9401959 
 9-9401248 
 
 9.400535 
 9-9399823 
 9-9399110 
 9-9398396 
 9-9397682 
 9-9396968 
 
 93962b3 
 9-9395537 
 9-9394821 
 9-9394105 
 9-9393388 
 9-9392671 
 9-9391953 
 9-9391234 
 9-9390515 
 9-9389796 
 9-9389076 
 9-9388356 
 9-9387635 
 9-9386914 
 9-9386192 
 9-9385470 
 
 9384747 
 9-9384024 
 
 9-9383300 
 9-9382576 
 9-9381851 
 9-9381126 
 9-9380400 
 9-9379674 
 
 9-9378947 
 9-9378220 
 9-9377492 
 9-9376764 
 9-9376035 
 9-9375306 
 
 D. 
 
 58 
 
 57 
 
 56 
 
 55 
 
 54 
 
 53 
 
 52 
 
 51 
 
 50 
 
 49 
 
 48 
 
 47 
 
 46 
 
 45 
 
 44 
 
 43 
 
 42 
 
 41 
 
 40 
 
 39 
 
 38 
 
 37 
 
 36 
 
 35 
 
 34 
 
 33 
 
 32 
 
 31 
 
 30 
 
 29 
 
 28 
 
 27 
 
 26 
 
 25 
 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 
 19 
 
 18 
 
 17 
 
 16 
 
 15 
 
 14 
 
 13 
 
 12 
 
 11 
 
 10 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 
 4 
 
 3 
 
 2 
 
 1 
 
 O 
 
 Sine 
 
 Desj. 60. 
 
(308) 30 T)e^, NATURAL SINES, &C. 
 
 Tab. 10. 
 
 6 
 
 7 
 
 9 
 10 
 II 
 12 
 
 13 
 14 
 15 
 16 
 17 
 18 
 19 
 20 
 
 Sine 
 
 >000(>0(» 
 
 .002519 
 
 ,005037 
 
 i00755 
 
 iO 10073 
 
 ;01259I 
 
 .015107 
 
 5017624 
 
 020140 
 
 022655 
 
 5025170 
 
 5027685 
 
 5030199 
 
 i0327l3 
 
 i035227 
 
 5037740 
 
 5040252 
 
 5042765 
 
 5045276 
 
 5047788 
 
 5050298 
 
 21 15052809 
 
 22 5055319 
 
 !)it 
 
 C'over>. 
 
 2519 
 2518 
 25 J 9 
 2517 
 2518 
 2516 
 2517 
 2516 
 2515 
 2515 
 2515 
 2514 
 2514 
 
 2514 
 2513 
 2512 
 2513 
 2511 
 2512 
 2510 
 
 SOOCOtiO 
 4997481 
 49949(i3 
 i09l4A4 
 4989927 
 4987409 
 4984893 
 4982376 
 4979860 
 4977345 
 4974830 
 4972315 
 4969801 
 
 4967287 
 4964773 
 4962260 
 4959748 
 4957235 
 4954724 
 4952212 
 [949702 
 
 23 
 24 
 
 25 
 26 
 27 
 28 
 29 
 30 
 31 
 32 
 33 
 34 
 35 
 36 
 37 
 38 
 39 
 40 
 41 
 42 
 43 
 44 
 45 
 46 
 47 
 48 
 49 
 50 
 .1 
 52 
 53 
 54 
 55 
 56 
 b7 
 58 
 59 
 60 
 
 5057828 
 5060338 
 5062846 
 5065355 
 5067863 
 5070370 
 5072877 
 075384 
 5077890 
 5080396 
 5082901 
 5085406 
 5087910 
 5090414 
 
 5092918 
 5095421 
 5097924 
 5100426 
 5102928 
 5105429 
 5107930 
 5110431 
 5112931 
 5115431 
 5117930 
 5120429 
 5122927 
 5125426 
 5127923 
 5130420 
 5132916 
 5135413 
 5137908 
 140404 
 5142899 
 5 I 45393 
 5147887 
 5150381 
 
 2507 
 2507 
 2506 
 2506 
 2505 
 2505 
 2504 
 2504 
 2504 
 
 2503 
 2503 
 25021 
 
 Cosine 
 
 -1: 
 
 if?! '14947 191 
 ^^^^4944681 
 ^^"^4942172 
 
 2510 
 2508 
 2509 
 2508 
 
 Cosec 
 
 2-0000000 
 1-9989929 
 1-9979870 
 1 -9969823 
 1-9959788 
 1-9949764 
 1 -9939753 
 1-9929752 
 1-9919764 
 1-9909787 
 1-9899822 
 1-9889869 
 1-9879927 
 
 1-9869997 
 1*9860080 
 1-9850172 
 1-9840276 
 1-9830393 
 1 -9820520 
 1-9810659 
 1-9800810 
 1-9790972 
 1-9781146 
 1-9771331 
 4939^621 1-9761 527 
 
 Tang. 
 
 4937154 
 493464 
 2507 493213 
 ^^^^929630 
 4927123 
 4924616 
 4922110 
 4919604 
 49 J 7099 
 4914594 
 4912090 
 4909586 
 
 2502 
 250 li 
 
 4907082 
 4904579 
 J4902076 
 '4899574 
 14897072 
 
 '4894571 
 14892070 
 14889569 
 4887069 
 :4884569 
 ,4882070 
 4879571 
 4877073 
 4874575 
 II4872077 
 24^4869580 
 ^:S^ 4867084 
 
 2501 
 2501 
 2500 
 2500 
 2499! 
 2499 
 2498 
 2498 
 2498 
 2497 
 
 2497 
 2495 
 2496 
 2495 
 2494 
 2494 
 2494i 
 
 4864587 
 4862092 
 4859596 
 4857101 
 4854607 
 4852113 
 148496] 9 
 
 Dif.l Vers. 
 
 1-9751735 
 1-9741954 
 1-9732185 
 1-9722427 
 1 •9712680 
 1-9702944 
 1-9693220 
 1-9683507 
 1-9673805 
 1-9664114 
 1-9654435 
 1-9644767 
 1-9635110 
 1-9625464 
 1-9615829 
 1-9606206 
 1-9596593 
 1-9586992 
 
 9577402 
 1-9567822 
 1-9558254 
 1-9548697 
 1-9539150 
 1-9523615 
 1-9520091 
 1-9510577 
 1-9501075 
 1-9491583 
 1-9482102 
 1-9472632 
 1-9463173 
 1-9453725 
 1-9444288 
 1-9434861 
 1-9425445 
 1-9416040 
 
 5773503 
 5777382 
 781262 
 5785144 
 5789027 
 5792912 
 r)796797 
 5800684 
 5804573 
 5808462 
 5812353 
 5816245 
 5820139 
 
 Cottmg 
 
 1 -7320508 
 1-7308878 
 1-7297260 
 1-7285654 
 1-7274060 
 1-7262477 
 1-7250905 
 1-7239346 
 1-7227797 
 1-7216261 
 1-7204736 
 1-7193222 
 1-7181720 
 5824034 1-7170230 
 5827930 1-7158751 
 
 5831828 
 >835726 
 5839627 
 5843528 
 847431 
 5851335 
 5855241 
 5859148 
 5863056 
 5866965 
 5870876 
 5874788 
 5878702 
 5882616 
 5886533 
 5890450 
 5894369 
 5898289 
 6902211 
 6906134 
 5910058 
 5913984 
 5917910 
 5921839 
 5925768 
 5929699 
 5933632 
 5937565 
 5941501 
 945437 
 5949375 
 >953314 
 5957255 
 5961196 
 5965140 
 5969084 
 5973030 
 5976978 
 5980926 
 5984877 
 5988828 
 .992781 
 .996735 
 6000691 
 6004648 
 6008606 
 
 1-7147283 
 1-7135827 
 1-7124382 
 1-7112949 
 
 1-7101527 
 
 1-7078717 
 1-7067329 
 1-7055953 
 
 Secant 
 
 i 1547005 
 j -1548945 
 1-1550887 
 1-1552830 
 1-1554775 
 1-1556722 
 1-1558670 
 1-1560620 
 i -1562572 
 1-1564525 
 1-1566480 
 1-1568436 
 1-1570394 
 1-1572354 
 1-1574315 
 1-1576278 
 1-1578243 
 1-1580209 
 1-1582177 
 1-1584146 
 
 -7090116 1-1586118 
 
 1-1588091 
 1-1590065 
 1-1592041 
 
 1*7044587 1-1594019 
 1-7033233 M595999 
 1-7021890 1-1597980 
 1-7010559 1-1599963 
 
 Secant | Cotan 
 
 1-6999238 
 1-6987929 
 1-6976631 
 1-6965344 
 1-6954069 
 1-6942804 
 1-6931550 
 1-6920308 
 1-6909077 
 1-6897856 
 1-6886647 
 1-6875449 
 1-6864261 
 1 -6853085 
 1-6841919 
 
 1-6830765 
 1-6819621 
 1-6808489 
 1-6797367 
 1-6786266 
 1-6775156 
 1-6764067 
 1-6752988 
 1-6741921 
 1 -6730864 
 1-6719818 
 ■6708782 
 
 1-6697758 
 1-6686744 
 1-6675741 
 I -6664748 
 1-6653766 
 •6642795 
 
 'Jang. 
 
 1-1601.947 
 1-1603933 
 1-1605921 
 1-1607911 
 1-1609902 
 1-1611894 
 M615889 
 1-1615885 
 1-1617883 
 1-1619882 
 1 1621883 
 1-1623886 
 1-1625891 
 1-1627897 
 1-1629906 
 1-1631914 
 1-1633925 
 
 1635938 
 1-1637953 
 1-1639969 
 1-1641987 
 1-1644007 
 
 1646028 
 1-1648051 
 1-1650076 
 1-1652102 
 1-1654130 
 
 1-1656160 
 1-16.58191 
 1-1660224 
 1-1662259 
 1-1664296 
 1-1666334 
 
 Vers. 
 
 Cosec. 
 
 1339746 
 1341201 
 1342656 
 1344113 
 1345570 
 1347027 
 1348486 
 
 1849945 
 
 1351405 
 
 1352866 
 
 1354327 
 
 1355789 
 
 1357252 
 
 1358716 
 
 1360180 
 
 1361646 
 
 1363111 
 
 1364577 
 
 1366044 
 
 1367512 
 
 1368981 
 
 1370451 
 
 1371921 
 
 1373392 
 
 1374863 
 
 1376336 
 
 1377809 
 
 1379283 
 
 1380757 
 
 1382232 
 
 1383708 
 
 1385185 
 
 1386663 
 
 1388141 
 
 1389620 
 
 1391099 
 
 1392580 
 
 1394061 
 
 1395643 
 
 1397025 
 
 1398501 
 
 1399993 
 
 1401477 
 
 1402963 
 
 1404449 
 
 1405936 
 
 1407424 
 
 1408912 
 
 1410401 
 
 1411891 
 
 141338l| 
 
 1414873 
 
 1416365 
 
 1417857 
 
 1419351 
 
 1420845 
 1422340 
 1423836 
 1425332 
 1426829 
 142832-7 
 
 Dif. 
 
 1455 
 1455 
 1457 
 1467 
 1457 
 1459 
 1459 
 
 1460 
 1461 
 1461 
 1462 
 1463 
 1464 
 1464 
 1465 
 1466 
 1466 
 1467 
 1468 
 1469 
 1470 
 1470 
 471 
 1471 
 1473 
 1473 
 1474 
 1474 
 1475 
 1476 
 1477 
 1478 
 1478 
 1479 
 1479 
 1481 
 1481 
 1482 
 1482 
 1484 
 1484 
 1484 
 1486 
 1486 
 1487 
 1488 
 1488 
 1489 
 1490 
 
 Cosine 
 
 8660254 
 8658799 
 8657344 
 8655887 
 8654430 
 8652973 
 8651514 
 8650065 
 8648595 
 8647134 
 8645673 
 864421; 
 42748 
 8641284 
 8639820 
 8638355 
 8636889 
 8635423 
 8633956 
 8632488 
 8631019 
 8629549 
 8628079 
 862660H 
 
 8625137136 
 
 8623664 
 
 8622191 
 
 8620717 
 
 8619243 
 
 S617768 
 
 8616292 
 
 8614815 
 
 8613337 
 
 8611869 
 
 8610380 
 
 8608901 
 
 S607420 
 
 8605939 
 8604457 
 8602975 
 8601491 
 8600007 
 8598523 
 
 8697037 
 8595551 
 8594064 
 8592576 
 8591088 
 8689599 
 
 ^overs 
 
 ,^ ,8588109 
 ^^^t>85866l9 
 492|8585,27 
 
 ^9^18583636 
 ^^^18682143 
 1494J8580649 
 
 8579155 
 8577660 
 8576164 
 8574668 
 8573171 
 8571673 
 
 1494 
 1495 
 1496 
 1496 
 1497 
 1498 
 
 Dif. 
 
 Sine 
 
 Des. 59. 
 
so Dcg. 
 
 LOG. STX^ES, &C. 
 
 (309) 
 
 bine iJDif. Cosec. Verseds. 
 
 Tanii::. Dif. 
 
 Cotang. ( Covers. 
 
 Secant i). Cosine 
 
 •6989700 
 •6991887 
 •6'994073 
 •6996*258 
 •6998441 
 •7000622 
 7002802 
 •7004981 
 ■7007158 
 •7009334 
 ■7011508 
 •7013681 
 ■7016852 
 ■7018022 
 •7020190 
 •7022357 
 •7024523 
 •7026687 
 ■7028849 
 •7031011 
 ■7033170 
 ■7035329 
 •7037486 
 •7039641 
 •7041795 
 
 •7043947 
 ■7046099 
 ■7048248 
 ■7050397 
 ■7052543 
 •7054689 
 
 ■7056833 
 •7058975 
 ■7061116 
 7063256 
 7065394 
 7067531 
 
 70696G7 
 7071801 
 7073933 
 7076064 
 7078194 
 7080323 
 7082450 
 7084575 
 7086699 
 7088822 
 7090943 
 7093063 
 7095182 
 7097299 
 7099415 
 7101529 
 7103642 
 7105753 
 7107863 
 7109972 
 7112080 
 7114186 
 7116290 
 7118393 
 
 218 
 
 2186 
 
 218 
 
 2183 
 
 218 
 
 2180 
 
 2179 
 
 2177 
 
 2176 
 
 2174 
 
 2173 
 
 217 
 
 2170 
 
 2168 
 
 2167 
 
 2166 
 
 2164 
 
 2162 
 
 2162 
 
 2159 
 
 2159 
 
 2157 
 
 2155 
 
 2164 
 
 2152 
 
 2152 
 
 2149 
 
 2149 
 
 2146 
 
 2146 
 
 2144 
 
 2142 
 
 2141 
 
 2140 
 
 2138 
 
 2137 
 
 2136 
 
 2134 
 
 2132 
 
 2131 
 
 2130 
 
 2129 
 
 2127 
 
 2125 
 
 2124 
 
 2123 
 
 2121 
 
 2120 
 
 2119 
 
 2117 
 2116 
 2114 
 2113 
 2111 
 2110 
 2109 
 2108 
 2106 
 2104 
 2103 
 
 3010300 
 
 3008113 
 
 3005927 
 
 3003742 
 
 3001559j9 
 
 2999378'9 
 
 29971 98 J9 
 
 299501919 
 
 2992842|9 
 
 2990666i9 
 
 •2988492 
 •2986319 
 •2984148 
 •2981978 
 •2979810 
 •2977643 
 •2976477 
 •2973313 
 ■297115] 
 •2968989 
 ■2966830 
 •2964671 
 •2962514 
 ■2960359 
 •2958205 
 •2956053 
 •2953901 
 •2951752 
 •2949603 
 •2947457 
 ■2945311 
 
 2943167 
 ■2941025 
 ■2938884 
 2936744 
 2934606 
 ■2932469 
 2930333 
 2928199 
 2926067 
 2923936 
 2921806 
 2919677 
 2917550 
 2915425 
 2913301 
 2911178 
 2909057 
 2906937 
 2904818 
 2902701 
 2900585 
 2898471 
 2896358 
 2894247 
 2892137 
 2890028 
 2887920 
 2885814 
 2883710 
 2881607 
 
 1270225 
 1274938 
 1279649 
 1284356 
 1289062 
 1293764 
 
 7614394 
 7617311 
 7620227 
 7623142 
 7626056 
 7628969 
 1298464 9-7631881 
 
 1303161 
 1307855 
 1312547 
 1317236 
 1321921 
 1326605 
 1331286 
 1335964 
 1340639 
 1345311 
 1349981 
 1354648 
 1359313 
 1363976 
 1368634 
 1373290 
 1377944 
 1382595 
 1387244 
 1391889 
 1396532 
 1401173 
 1405811 
 1410446 
 1415078 
 1419708 
 1424336 
 1428960 
 1433581 
 1438201 
 
 1442817 
 1447431 
 1462042 
 1456651 
 1461257 
 1465861 
 1470461 
 1475060 
 1479655 
 1484248 
 1488838 
 1493426 
 1498011 
 1502594 
 1607174 
 1511751 
 1516326 
 1620898 
 1525467 
 1530034 
 1634699 
 1639161 
 1643720 
 1548276 
 
 •7634792 
 •7637702 
 ■7640612 
 ■7643520 
 7646427 
 7649334 
 ■7652239 
 7655143 
 7658047 
 7660949 
 7663851 
 '7666751 
 7669661 
 7672550 
 ■767544ii 
 •7678344 
 •7681240 
 ■7684135 
 •7687029 
 •7689922 
 ■7692814 
 ■7695705 
 ■769P.596 
 ■7701485 
 ■7704373 
 7707261 
 7710147 
 7713033 
 7715917 
 7718801 
 7721684 
 7724566 
 7727447 
 7730327 
 7733206 
 7736084 
 7738961 
 7741838 
 7744713 
 7747588 
 7750462 
 7753334 
 7756206 
 7769077 
 7761947 
 7764816 
 7767686 
 7770652 
 7773418 
 7776284 
 7779149 
 7782012 
 7784875 
 ■7787737 
 
 2917 
 2916 
 2915 
 2914 
 2913 
 2912 
 2911 
 2910 
 2910 
 2908 
 2907 
 2907 
 290, 
 
 2904 
 2904 
 2902 
 2902 
 2900 
 2900 
 2899 
 2898 
 2896 
 2896 
 2895 
 2894 
 2893 
 2892 
 2891 
 2891 
 2889 
 2888 
 2888 
 2886 
 2886 
 2884 
 2884 
 2883 
 2882 
 2881 
 2880 
 2879 
 2878 
 2877 
 2877 
 2875 
 2875 
 2874 
 2872 
 2872 
 2871 
 2870 
 2869 
 2869 
 2867 
 2866 
 2866 
 2866 
 2863 
 2863 
 2862 
 
 10-2385606 9' 
 10-2382689 9' 
 10-23797739 
 10-237685819 
 10-2373944 9 
 
 10-237 1031 
 10-2368119 
 10-2365208 
 10^2362298 
 10-2359388 
 10-2356480 
 10-2353673 
 10-2350666 
 10-2347761 
 10-2344857 
 10-2341953 
 10-2339051 
 10-2336149 
 10-2333249 
 10-2330349 
 10-2327450 
 10-2324552 
 10-232 1656 
 10^2318760 
 10-2315865 
 10-2312971 
 10-2310078 
 10-2307186 
 10-2304295 
 10-2301404 
 10-2298515 
 
 10-2295627 
 10-2292739 
 10-2289853 
 10-2286967 
 10-2284083 
 10-2281199 
 10-2278316 
 10-2275434 
 10-2272553 
 10-2269673 
 10-2266794 
 10-2263916 
 10-2261039 
 10-2268162 
 10-2255287 
 10-2252412 
 10-2249638 
 10-2246666 
 10-2243794 
 10-2240923 
 10-2238063 
 10-2236184 
 10-2232315 
 10-2229448 
 10-2226582 
 10-2223716 
 10-2220851 
 10-2217988 
 10-2216125 
 10-2212263 
 
 6989700 
 
 6987512 
 
 6985322 
 
 6983132 
 
 6980942 
 
 6978750 
 
 •6976658 
 
 6974365 
 
 ■6972172 
 
 6969977 
 
 •6967782 
 
 •6965586 
 
 •6963390 
 
 •6961192 
 
 ■6958994 
 
 ■6956795 
 
 ■6954596 
 
 •6952396 
 
 •6950194 
 
 •6947993 
 
 •6945790 
 
 •6943587 
 
 •6941383 
 
 •6939178 
 
 •6936973 
 
 •6934766 
 
 •G932559 
 
 •6930352 
 
 •6928143 
 
 •6925934 
 
 9-6923724 
 
 9-6921513 
 
 9-6919302 
 
 9-6917090 
 
 9-6914877 
 
 9-6912663 
 
 9-6910449 
 
 9-6908233 
 
 6906017 
 
 9-690380 
 
 9-6901583 
 
 9-6899365 
 
 9-6897146 
 
 9-6894926 
 
 6892706 
 
 6890485 
 
 6888263 
 
 6886040 
 
 6883817 
 
 6881693 
 
 6879368 
 
 6877142 
 
 ^8749 16 
 
 6872688 
 
 6870460 
 
 9 
 
 9 
 
 9-6868231 
 
 9-6866002 
 
 9-6863772 
 
 9-6861641 
 
 9-6859309 
 
 9-6857076 
 
 10-0624694 
 10-0625423 
 10-0626153 
 10-0626884 
 10-0627615 
 10-0628347 
 10-0629079 
 
 10-0629811 
 10-0630544 
 10-0631278 
 10-0632012 
 10-0632746 
 10-0633481 
 
 10-0634217 
 
 10-0634953 
 
 10-0635689 
 
 10-0636426 
 
 10-0G3716-1 
 
 10-0637902 
 
 10-0638640 
 
 10-0639379 
 
 10-064011 
 
 10-0640859 
 
 10-0641599 
 
 10-0642340 
 
 10-0643082 
 
 10-0643823 
 
 10-0644566 
 
 10-0645309 
 
 10-0646052 
 
 10-0646796" 
 
 10-0647541 
 
 10-064828 
 
 10-064903 
 
 10-0649777 
 
 10-0650523 
 
 10-0661270 
 
 10-0652017 
 10-0652765 
 10-0653614 
 10-0654262 
 10-0655012 
 10-0665762 
 10-0666512 
 10-0657263 
 10-0658014 
 10-0658766 
 10-0659518 
 10-0660271 
 10-0661024 
 10-0661778 
 10-0662533 
 10-0663287 
 10-0664043 
 10-0664799 
 10-0665555 
 10-0666312 
 10-0667069 
 10-0667827 
 10-0668585 
 10-0669344 
 
 729 
 
 730 
 
 731 
 
 731 
 
 732 
 
 73 
 
 732 
 
 733 
 
 734 
 
 734 
 
 734 
 
 736 
 
 736 
 
 736 
 
 736 
 
 737 
 
 738 
 
 738 
 
 738 
 
 739 
 
 740 
 
 740 
 
 740 
 
 741 
 
 742 
 
 741 
 
 743 
 
 743 
 
 743 
 
 744 
 
 745 
 
 744 
 
 746 
 
 746 
 
 746 
 
 747 
 
 747 
 
 748 
 
 749 
 
 748 
 
 750 
 
 750 
 
 750 
 
 751 
 
 751 
 
 752 
 
 752 
 
 753 
 
 753 
 
 754 
 
 766 
 
 754 
 
 756 
 
 756 
 
 756 
 
 757 
 
 757 
 
 768 
 
 758 
 
 769 
 
 9375306 
 9374577 
 •9373847 
 9373116 
 9372385 
 9371653 
 ■9370921 
 •9370189 
 -9369456 
 •9368722 
 •9367988 
 -9367254 
 •9366519 
 •9365783 
 •9365047 
 •9364311 
 •9363574 
 •9362836 
 •9362098 
 9361360 
 9360621 
 9359881 
 9359141 
 9368401 
 9367660 
 9356918 
 9356177 
 9356434 
 9364691 
 9363948 
 9363204 
 9352459 
 9351715 
 9350969 
 9350223 
 9349477 
 
 9 
 9^9348730|24 
 
 9347983 
 9347236 
 9346486 
 9345738 
 9344988 
 9344238 
 9343488 
 9342737 
 9341986 
 9341234 
 9340482 
 9339729 
 9338976 
 9338222 
 9337467 
 9336713 
 9335957 
 9335201 
 9334446 
 ■9333688 
 9332931 
 9332173 
 •9331415 
 •9330656 
 
 ' Cosine Dif. Secant Covers. Cotang.lDif. Tang. Verseds. Cosec. D. Sine 
 
 ■ " ■ ■ " ' ' I " ' ■ I ■II J I ■ ■ I . 1 ■ 1 I I U I« III ■■ .....■!.. , ■ — 
 
 Deg, 59 
 
(310) 31 Deg. NATURAL SINES, 8cc. 
 
 Tab. 10. 
 
 Sine Dif. Covers 
 
 5150381 
 5152874 
 5155367 
 5157859 
 5160351 
 516284'i 
 5165333 
 5167824 
 5170314 
 5 1 72804 
 51752.93 
 5177782 
 5180270 
 5182758 
 5185246" 
 5187733 
 5190219 
 5192705 
 5195191 
 5197676 
 5200161 
 5202646 
 5205130 
 5207613 
 5210096 
 5212579 
 5215061 
 5217543 
 5220024 
 5222505 
 5224986 
 5227466 
 5229945 
 5232424 
 5234903 
 5237381 
 5239859 
 5242336 
 5244813 
 5247290 
 5249766 
 5252241. 
 5254717 
 5257191 
 5259665 
 5262139 
 5264613 
 5267085 
 5269558 
 5272030 
 5274502 
 5276973 
 5279443 
 5281914 
 5284383 
 5286853 
 5289322 
 5291790 
 5294258 
 5296726 
 5299193 
 
 Cosine Dif. 
 
 2493 
 2493 
 249 :<i 
 2492 
 2491 
 2491 
 2491 
 2490 
 2490 
 2489 
 2489 
 2488 
 2488 
 2488 
 2487 
 2486 
 2486 
 2486 
 2485 
 2485 
 2485 
 2484 
 2483 
 2483 
 2483 
 2482 
 2482 
 2481 
 2481 
 2481 
 2480 
 2479 
 2479 
 2479 
 2478 
 2478 
 2477 
 2477 
 2477 
 2476 
 2475 
 2476 
 2474 
 2474 
 2474 
 2474 
 2472 
 2473 
 2472 
 2472 
 2471 
 2470 
 2471 
 2469 
 2470 
 2469 
 2468 
 2468 
 2468 
 2467 
 
 4849619 
 4847126 
 4844633 
 4842141 
 4839649 
 4837158 
 4834667 
 4832176 
 4829686 
 4827196 
 4824707 
 4822218 
 4819730 
 4817242 
 4814754 
 12267 
 4809781 
 4807295 
 4804809 
 4802324 
 4799839 
 4797354 
 4794870 
 4792387 
 4789904 
 4787421 
 4784939 
 4782457 
 i779976 
 4777495 
 4775014 
 4772534 
 4770055 
 4767576 
 4765097 
 4762619 
 4760141 
 4757G64 
 4755187 
 4752710 
 4750234 
 4747759 
 4745283 
 4742809 
 4740335 
 4737861 
 4735387 
 4732915 
 4730442 
 4727970 
 4725498 
 4723027 
 4720557 
 4718086 
 4715617 
 4713147 
 4710678 
 4708210 
 4705742 
 4703274 
 4700807 
 
 Cosec. 
 
 Vers. 
 
 6008606 
 6012566 
 6016527 
 6020490 
 6024454 
 6028419 
 6032386 
 6036354 
 6040323 
 6044294 
 6048266 
 6052240 
 6056215 
 6060192 
 92B5490 6064170 
 6068149 
 6072130 
 6076112 
 6080095 
 
 9416040 
 9406646 
 9397262 
 9387889 
 9378527 
 9369176 
 9359835 
 9350505 
 9341185 
 9331876 
 9322578 
 9313290 
 9304013 
 9294746 
 
 9276244 
 
 9267009 
 
 9257784 
 
 9248570 
 
 9239366 
 
 9230173 
 
 9220990 
 
 9211817 
 
 9202655 
 
 9193503 
 
 9184362 
 
 9175230 
 
 9166110 
 
 9156999 
 
 9147899 
 
 9138809 
 
 9129729 
 
 9120659 
 
 9111600 
 
 91025 
 
 9093512 
 
 9084483 
 
 9075464 
 
 9066456 
 
 9057457 
 
 9048469 
 
 9039491 
 
 9030522 
 
 9021564 
 9012616 
 9003678 
 8994750 
 8985832 
 8976^24 
 8968026 
 8959138 
 8950259 
 89«il391 
 8932532 
 8923684 
 8914845 
 8906016 
 8897197 
 8838388 
 8879589 
 8870799 
 
 Secant 
 
 rang. 
 
 Cotang. I Secant 
 
 6084080 
 6088067 
 6092054 
 6096043 
 6100034 
 6104026 
 
 6108019 
 6112014 
 6116011 
 6120008 
 6124007 
 6128008 
 6132010 
 6136013 
 6140018 
 6144024 
 6148032 
 6152041 
 6156052 
 6160064 
 6164077 
 6168092 
 6172108 
 6176126 
 6180145 
 6184166 
 6188188 
 6192211 
 6196236 
 6200263 
 6204291 
 6208320 
 6212351 
 6216383 
 6220417 
 6224452 
 
 6228488 
 6232527 
 6236566 
 6240607 
 6244650 
 6248694 
 
 Cotan. 
 
 1 -66427951 
 1 '663 1834, 
 1-66208841 
 1-6609945! 
 1-659901 6| 
 1-6588097 
 1 -657718a 
 1-6566292 
 1-6555405 
 1-6544529 
 1-6533663 
 1 -6522808 
 1-^511963 
 1-6501128 
 1-6490304 
 1-6479490 
 1-6468687 
 1-6457893 
 1-6447111 
 
 1-6436338 
 1-6425576 
 1-6414824 
 1-6404082 
 1-6393351 
 1-6382630 
 1-6371919 
 1-6361218 
 1-6350528 
 1-6339847 
 1-6329177 
 i-6318517 
 1-6307867 
 1-6297227 
 1-6286597 
 1-6275977 
 1-6265368 
 1-6254768 
 1-6244178 
 1 -6233599 
 1-6223029 
 1-6212469 
 1-6201920 
 1-6191380 
 1-6180850 
 1-6170330 
 1-6159820 
 1-6149320 
 1.6138829 
 1-6128349 
 1-6117878 
 1-6107417 
 1-6096966 
 1-6086525 
 1-6076094 
 1-6065672 
 1-6055260 
 1 -6044858 
 1-6034465 
 1-6024082 
 1-6013709 
 1-6003345 
 
 1666334 
 1668374 
 167041<S 
 1 672459 
 1674504 
 1676551 
 1678599 
 1680649 
 1682701 
 1684755 
 1686810 
 •1688867 
 ■1690926 
 
 V 
 
 ers. 
 
 Dif. Cosine 
 
 1428327 
 1429826 
 1431325 
 1432825 
 1434326 
 1435827 
 1437329 
 1438832 
 1440336 
 1441840 
 1443345 
 1444851 
 1446357 
 
 1692986 1447865 
 1695048 1449373 
 
 1697112 
 1699178 
 1701245 
 1703314 
 1705385 
 1707457 
 1709531 
 1711607 
 1713685 
 1715764 
 
 1717845 
 1719928 
 1722013 
 ■1724099 
 ■1726187 
 ■1728277 
 ■1730368 1475119 
 ■1732462 1476640 
 ■1734557 1478161 
 
 1450881 
 1452391 
 1453901 
 1455412 
 1456923 
 1458436 
 1459949 
 1461462 
 1462977 
 1464492 
 
 1466008 
 1467525 
 1469042 
 1470560 
 1472079 
 1473598 
 
 1736653 
 1738752 
 1740852 
 1742954 
 1745058 
 1747163 
 1749270 
 1751379 
 1753490 
 1755603 
 1757717 
 1759833 
 1761951 
 1764070 
 1766191 
 1768314 
 1770439 
 1772566 
 1774694 
 1776824 
 1778956 
 1781089 
 1783225 
 1785362 
 1787501 
 1789642 
 1791784 
 
 1479684 
 1481207 
 1482731 
 1484255 
 1485781 
 1487307 
 1488833 
 1490361 
 1491889 
 1493418 
 1494947 
 1496478 
 1498009 
 1499541 
 1501073 
 1502606 
 1504140 
 1505675 
 1507210 
 1508746 
 1510283 
 1511821 
 1513359 
 1514898 
 1516438 
 1517978 
 1519519 
 
 1499 
 1499 
 1500 
 1501 
 1501 
 1502 
 1503 
 1504 
 1504 
 1505 
 1506 
 1506 
 1508 
 1508 
 1508 
 1510 
 1510 
 1511 
 1511 
 1513 
 1513 
 1613 
 1515 
 1515 
 1516 
 1517 
 1517 
 1518 
 1519 
 1519 
 1521 
 1521 
 1521 
 1523 
 1523 
 1524 
 1524 
 1526 
 1526 
 1526 
 1528 
 1528 
 1529 
 1529 
 1531 
 1531 
 1532 
 1532 
 1533 
 1534 
 1535 
 1535 
 1536 
 1537 
 1538 
 1538 
 1639 
 1540 
 1540 
 1541 
 
 8571673 
 8570)74 
 8568675 
 8567175 
 8565674 
 564173 
 8562671 
 8561168 
 8559664 
 8558160 
 855665 
 8555149 
 
 T\ 
 
 8553643 48 
 
 8552135 
 8550627 
 8549119 
 8547609 
 8546099 
 544588 
 
 8543077 
 8541564 
 8540051 
 853853B 
 8537023 
 8535508 
 8533992 
 8532475 
 8530958 
 8529440 
 8527921 
 8526402 
 8524881 
 8523360 
 8521839 
 8520316 
 8518793 
 8517269 
 8515745 
 8514219 
 8512693 
 8511167 
 8509639 
 8508111 
 8506582 
 8505053 
 8503522 
 8501991 
 8500459 
 8498927 
 8497394 
 8495860 
 8494325 
 8492790 
 8491254 
 8489717 
 8488179 
 8486641 
 8485102 
 8483562 
 8482022 
 8480481 
 
 Tang. Cosec. Covers Dif. Sine 
 
 ^ Deg. 5S. 
 
31 
 
 Deg. 
 
 LOG. SlUtS, &C. 
 
 (311) 
 
 Sine 
 
 7 9' 
 
 8 
 
 9 
 10 
 II 
 12 
 
 7118393 
 7120495 
 7122596 
 ■7124()95 
 •7126792 
 ■7128889 
 •7130983 
 
 ■7133077 
 7135169 
 ■7137260 
 7139349 
 7141437 
 7143524 
 
 7146609 
 7147693 
 '7149776 
 7151857 
 7153937 
 7156015 
 7158092 
 7160168 
 7162243 
 ■7164316 
 •7166387 
 ■7168458 
 ■7170526 
 7172594 
 •7174660 
 •7176725 
 ■7178789 
 •7180851 
 ■7182912 
 ■7184971 
 •7187030 
 ■7189086 
 7191142 
 •7193196 
 •7195249 
 •7197300 
 ■7199350 
 ■7201399 
 ■7203447 
 ■7205493 
 ■7207538 
 ■7209581 
 ■7211623 
 ■7213664 
 ■7215704 
 •7217742 
 •7219779 
 •7221814 
 •7223848 
 •7225881 
 •7227913 
 •7229943 
 •7231972 
 ■7234000 
 •7236026 
 •7238051 
 •7240075 
 •7242097 
 
 Dif. 
 
 2102 
 2101 
 2099 
 2097 
 2097 
 2094 
 
 2094 
 2092 
 2091 
 2089 
 2088 
 2087 
 2085 
 2084 
 2083 
 2081 
 2080 
 2078 
 2077 
 2076 
 2075 
 2073 
 2071 
 2071 
 2068 
 2068 
 2066 
 2065 
 2064 
 2062 
 2061 
 2059 
 2059 
 2056 
 2056 
 2054 
 2053 
 2051 
 2050 
 2049 
 2048 
 2046 
 2045 
 2043 
 2042 
 2041 
 2040 
 2038 
 2037 
 2035 
 2034 
 2033 
 2032 
 2030 
 2029 
 2028 
 2026 
 2025 
 2024 
 2022 
 
 Cose 
 
 c. 
 
 10-2881607 
 10-2879505 
 10-2877404 
 10-2875305 
 10-2873208 
 10-2871111 
 10-2869017 
 10-2866923 
 10-286'4831 
 10-2862740 
 10-2860651 
 10-2858563 
 10-2856476 
 
 10-2854391 
 10-2852307 
 10-2850224 
 10-2848143 
 10-2846063 
 10-2843985 
 
 10-2841908 
 10-2839832 
 10-2837757 
 10-2835684 
 10-2833613 
 10-2831542 
 
 10-2829474 
 10-2827406 
 10-2825340 
 10-2823275 
 10-2821211 
 10-2819149 
 10-2817088 
 10-2815029 
 10-2812970 
 10-2810914 
 10-2808858 
 10-2806804 
 10-2804751 
 10-2802700 
 10-2800650 
 10-2798601 
 10-2796553 
 10-2794507 
 10-2792462 
 10-2790419 
 10-2788377 
 10-2786336 
 10-2784296 
 10-2782258 
 10-2780221 
 10-2778186 
 10-2776152 
 10-2774119 
 10-2772087 
 10-2770057 
 10-2768028 
 10-2766000 
 10-2763974 
 10-2761949 
 10-2759925 
 10-2757903 
 
 Verseds. Tang. Dif. 
 
 1 548276 
 1552831 
 1557382 
 1561931 
 1 566477 
 1571021 
 1575562 
 1580101 
 1584637 
 1589171 
 1593702 
 1598230 
 1602756 
 1607280 
 1611800 
 1616319 
 1620835 
 1625348 
 1629859 
 
 1634367 
 1638873 
 1643376 
 1647876 
 1652374 
 1656870 
 1661363 
 1665854 
 1670342 
 1674828 
 1679311 
 1683791 
 1688269 
 1692745 
 1697218 
 1701689 
 1706157 
 1710623 
 
 1715086 
 1719547 
 1724005 
 1728461 
 1732914 
 1 737365 
 1741813 
 1746259 
 1750703 
 1755144 
 1759582 
 1764018 
 1768452 
 1772683 
 1777312 
 1781738 
 1786162 
 1790584 
 1795003 
 1799419 
 1803833 
 1808245 
 1812655 
 1817061 
 
 9-7787737 
 9-7790599 
 9-7793459 
 9-7796318 
 9-7799177 
 9-7802034 
 9-7804891 
 
 9-7807747 
 9-7810602 
 9-7813456 
 9-7816309 
 9-7819162 
 9-7822013 
 9-7824864 
 9-7827713 
 9-7830562 
 9-7833410 
 9-7836258 
 9-7839104 
 9-7841949 
 9-7844794 
 9-7847638 
 9-7850481 
 9-7853323 
 9-7856164 
 9-7859004 
 9-7861844 
 9-7864682 
 9-7867520 
 9-7870357 
 9-7873193 
 
 9-7876028 
 9-7878863 
 9-7881696 
 7884529 
 9-7887361 
 9-7890192 
 
 9-7893023 
 9-7895852 
 9-7898681 
 9-7901508 
 9-7904335 
 9-7907161 
 
 9-7909987 
 9-7912811 
 9-7915635 
 9-7918458 
 9-7921280 
 9-7924101 
 9-7926921 
 9-7929741 
 -7932560 
 •7935378 
 9-7938195 
 9-794101 
 
 9-7943827 
 9-7946641 
 9-7949455 
 9-7952268] 
 9-7955081 
 9-7957892 
 
 2862 
 2860 
 2859 
 2859 
 2857 
 2857 
 2856 
 2855 
 2854 
 2853 
 2853 
 2851 
 2851 
 2849 
 2849 
 2848 
 2848 
 2846 
 
 2845 
 2845 
 2844 
 2843 
 2842 
 2841 
 2840 
 2840 
 2838 
 2838 
 2837 
 2836 
 2835 
 2835 
 2833 
 2833 
 2832 
 2831 
 2831 
 2829 
 2829 
 2827 
 2827 
 2826 
 2826 
 2824 
 2824 
 2823 
 2822 
 2821 
 2820 
 2820 
 2819 
 2818 
 2817 
 2816 
 2816 
 2814 
 2814 
 2813 
 2813 
 2811 
 
 Cotang. 
 
 10-2212263 
 
 10-2209401 
 
 10-2206541 
 
 10-2203682 
 
 10-2200823 
 
 10-2197966 
 
 10-2195109 
 
 10-2192253 
 
 10-2189398 
 
 10-2186544 
 
 10-2183691 
 
 10-2180838 
 
 10-2177987 
 
 10-2175136 
 
 10-2172287 
 
 10-2169438 
 
 10-2166590 
 
 10-2163742 
 
 10-2160896 
 
 10-2158051 
 
 10-2155206 
 
 10-2152362 
 
 10-2149519 
 
 10.2146677 
 
 10-2143836 
 
 10-2140996 
 
 10-2138156 
 
 10-2135318 
 
 10-2132480 
 
 10-2129643 
 
 10-2126807 
 
 10-2123972 
 
 10-2121137 
 
 10-2118304 
 
 10-2115471 
 
 10-2112639 
 
 10-2109808 
 
 10-2106977 
 
 10-2104148 
 
 10-2101319 
 
 10-2098492 
 
 10-2095665 
 
 10-2092839 
 
 10-2090013 
 
 10-2087189 
 
 10-2084365 
 
 10-2081542 
 
 10-2078720 
 
 10-2075899 
 
 10-2073079 
 
 10-2070259 
 
 10-2067440 
 
 10-2064622f9 
 
 10-2061805 
 
 10-2058989 
 
 10-2056173 
 10-2053359 
 10-2050545 
 10-2047732 
 10-2044919 
 10-2042108 
 
 Covers. 
 
 9-6857076 
 9-6854843 
 9-6852609 
 9-6850374 
 9-6848139 
 9-6845902 
 9-6843665 
 
 9-6841428 
 
 9-6839189 
 
 9-6836950 
 
 9-6834710 
 
 9-6832469 
 
 9-6830227 
 
 9-6827985 
 
 9-6825741 
 
 9-6823498 
 
 9-6821253 
 
 9-6819007 
 
 6816761 
 
 9-6814514 
 
 9-6812266 
 
 9-6810018 
 
 9-6807769 
 
 9-6805519 
 
 9-6803268 
 
 6801016 
 
 679B764 
 
 6796511 
 
 6794257 
 
 6792002 
 
 6789747 
 
 6787491 
 
 6785234 
 
 ■6782976 
 
 ■6780717 
 
 ■6778458 
 
 677619S 
 
 9-677S937 
 9-677}676 
 9^6769413 
 9-6767150 
 9-6764886 
 9-6762622 
 
 9-6760356 
 9-6758090 
 9-6755823 
 9-6753555 
 9-6751287 
 9-6749017 
 
 9-6746747 
 9-6744476 
 9-6742205 
 6739932 
 9-6737659 
 9^6735385 
 9-6733110 
 9-6730835 
 9-6728558 
 9-6726281 
 9-6724003 
 9-6721725 
 
 Secant D. Cosine ' 
 
 10-0669344 
 10-0670103 
 10-0670863 
 10-0671624 
 10-0672384 
 10-0673146 
 10-0673908 
 10-0674670 
 10-0675433 
 10-0676196 
 10-0676960 
 10-0677724 
 10-0678489 
 
 10-0679254 
 10-0680020 
 10-0680787 
 10-0681553 
 10-0682321 
 10-0683089 
 
 10-0683857 
 10-0684626 
 10-0685395 
 10-0686165 
 10-0686935 
 10-0687706 
 10-0688478 
 10-0689250 
 10-0690022 
 10-0690795 
 10-0691568 
 10-0692342 
 
 10-0693117 
 
 10-0693891 
 
 10-0694667 
 
 10-0695443^.. 
 
 10-0696219 11^ 
 
 10-0696996 
 
 10-0697774 
 
 10-0698552 
 
 10-0699330 
 
 10-0700109 
 
 10-0700888 
 
 10-0701668 
 
 10-0702449 
 
 10-0703230 
 
 10-0704011 
 
 10-0704793 
 
 10-0705576 
 
 10-0706359 
 
 10-0707143 
 
 10-0707927 
 
 10-0708711 
 
 10-0709496 
 
 10-0710282 
 
 10-0711068 
 
 10-0711855 
 
 10-0712642 
 
 10-0713429 
 
 10-0714217 
 
 10-0715006 
 
 10-0715795 
 
 759 
 760 
 761 
 760 
 762 
 762 
 762 
 763 
 763 
 764 
 764 
 765 
 765 
 766 
 767 
 766 
 768 
 768 
 768 
 769 
 769 
 770 
 770 
 771 
 772 
 772 
 772 
 773 
 773 
 774 
 775 
 774 
 776 
 776 
 
 777 
 778 
 778 
 778 
 779 
 779 
 780 
 781 
 781 
 781 
 782 
 783 
 783 
 784 
 784 
 734 
 785 
 786 
 786 
 787 
 787 
 787 
 788 
 789 
 789 
 
 9-9330656 
 9-9329897 
 9-9329137 
 9-9328376 
 9-9327616 
 9-9326854 
 9-9326092 
 9-9325330 
 9-9324567 
 9-9323804 
 9-9323040 
 9-9322276 
 9-9321511 
 9-9320746 
 9-9319980 
 9-9319213 
 9-9318447 
 9-9317679 
 9-9316911 
 9-9316143 
 9-9315374 
 9-9314605 
 9-9313835 
 9-9313065 
 9-9312294 
 9-9311522 
 9-9310750 
 9-9309978 
 9-9309205 
 9-9308432 
 9-9307658 
 
 9-9306883 
 9-9306109 
 9-9305333 
 9-9304557 
 9-9303781 
 9-9303004 
 
 9-9302226 
 9-9301448 
 9-9300670 
 9-9299891 
 9-9299112 
 9-9298332 
 9-9297551 
 9-9296770 
 9^9295989 
 9-9295207 
 9-9294424 
 9-9293641 
 9-9292857 
 9-9292073 
 9-9291289 
 9-9290504 
 9-9289718 
 9-9288932 
 
 9-9288145 
 9287358 
 9-9286571 
 9-9285783 
 9-9284994 
 9-9284205 
 
 Cosine Dif. 
 
 Secant 
 
 Covers. 
 
 Cotang. Dif. 
 
 Tang. 'Verseds. 
 
 Cosec. D. Sine 
 
 Deg. 58, 
 
(31C) 32 Deg. NATURAL SINES, See. 
 
 Tab. 10. 
 
 Sine 
 
 5299 iy:{ 
 
 530IG59 
 5304125 
 5306591 
 5309057 
 5311521 
 5313986' 
 5316450 
 531891 
 5321376 
 5323839 
 326301 
 5328763 
 5331224 
 5333685 
 5336145 
 5338605 
 5341065 
 5343523 
 5345982 
 5348440 
 5350898 
 5353355 
 5355812 
 5358268 
 5360724 
 5363179 
 5365634 
 5368089 
 5370543 
 5372996 
 
 5375449 
 
 5377902 
 
 5380354 
 
 5382806 
 
 5385257 
 
 5387708 
 
 5390158 
 
 5392608 
 
 5395058 
 
 5397507 
 
 539995 
 
 5402403 
 
 5404851 
 
 5407298 
 
 5409745 
 
 5412191 
 
 5414637 
 
 5417082 
 
 5419527 
 5421971 
 5424415 
 5426859 
 5429302 
 5431744 
 
 5434187 
 543(>6«8 
 5439069 
 5441510 
 5443951 
 5446390 
 
 Dif. 
 
 2466 
 
 2466 
 
 2466 
 
 2466 
 
 2464 
 
 2465 
 
 2464 
 
 2463 
 
 2463 
 
 2463 
 
 2462 
 
 2462 
 
 2461 
 
 2461 
 
 2460 
 
 2460 
 
 2460 
 
 2458 
 
 2459 
 
 2458 
 
 2458 
 
 245 
 
 2457 
 
 2456 
 
 2456 
 
 2455 
 
 2455 
 
 2455 
 
 2454 
 
 2453 
 
 2453 
 
 2453 
 
 2452 
 
 2452 
 
 2451 
 
 2451 
 
 2450 
 
 2450 
 
 2450 
 
 2449 
 
 2448 
 
 2448 
 
 2448 
 
 2447 
 
 2447 
 
 2446 
 
 2446 
 
 2445 
 
 2445 
 
 2444 
 
 2444 
 
 2444 
 
 2443 
 
 2442 
 
 2443 
 
 2441 
 
 2441 
 
 2441 
 
 2441 
 
 2439 
 
 Covers 
 
 Cosi 
 
 ne 
 
 4700807 
 4698341 
 4695875 
 4693409 
 4690943 
 4688479 
 4686014 
 
 4683S50 
 
 4681087 
 
 4678624 
 
 4676161 
 
 4673699 
 
 4671237 
 
 466^776 
 
 4666315 
 
 4663855 
 
 4661395 
 
 4658935 
 
 4656477 
 
 4654018 
 
 4651560 
 
 4649102 
 
 464664 
 
 4644188 
 
 4641732 
 
 4639276 
 
 4636821 
 
 4634366 
 
 4631911 
 
 4629457 
 
 4627004 
 
 4624551 
 
 4622098 
 
 4619646 
 
 4617194 
 
 4614743 
 
 4612292 
 
 4609842 
 
 4607392 
 
 4604942 
 
 4602493 
 
 460004 
 
 4597597 
 
 4595149 
 
 4592702 
 
 4590255 
 
 4587809 
 
 4585363 
 
 4582918 
 
 4580473 
 
 4578029 
 
 4575585 
 
 4573141 
 
 4570698 
 
 4568256 
 
 4565813 
 
 4563372 
 
 4560931 
 
 4558490 
 
 4556049 
 
 4553610 
 
 Cosec. 
 
 Tang. 
 
 Dif. 
 
 1-8870799 
 1-8862019 
 1-8853249 
 1-8844489 
 1-8835738 
 1-8826998 
 8818266 
 1-8809545 
 1-8800833 
 1-8792131 
 1-8783438 
 1-8774755 
 1-8766082 
 1-8757419 
 1-8748764 
 1-8740120 
 1-8731485 
 1-8722859 
 1-8714244 
 
 1-8705637 
 1-8699040 
 1 -8688453 
 1-8679875 
 1-8671306 
 1-8662747 
 1-8654197 
 1-8645657 
 1-8637126 
 1-8628605 
 1-8620093 
 1-8611590 
 1-8603097 
 1-8594612 
 1-8586138 
 1-8577672 
 1-8569216 
 1-8560769 
 1-8552331 
 1-8543903 
 1-8535483 
 1-8527073 
 1-8518672 
 1-8510281 
 1-8501898 
 1-8493525 
 1-8485161 
 1-8476806 
 1 -8468460 
 1-8460123 
 1-8451795 
 1-8443476 
 1-8435166 
 1-8426866 
 1-8418574 
 1-8410292 
 1-8402018 
 1-8393753 
 1-8385498 
 1-8377251 
 1-8369013 
 1-8360785 
 
 624^694 
 6252739 
 
 Cotang. 
 
 1-6003345 
 1-5992991 
 
 6256786 1 -5982647 
 
 6260834 
 
 6264884 
 6268935 
 6272988 
 
 Vers. 
 
 Secant 
 
 6277042 
 6281098 
 6285155 
 6289214 
 6293274 
 6297336 
 6301399 
 6305464 
 6309530 
 6313598 
 6317667 
 6321738 
 6325810 
 6329883 
 6333959 
 6338035 
 6342113 
 6346193 
 6350274 
 6354357 
 6368441 
 6362527 
 6366614 
 6370703 
 6374793 
 6378885 
 6382978 
 6387073 
 6391169 
 6396267 
 6399366 
 6403467 
 6407669 
 6411673 
 6415779 
 6419886 
 6423994 
 6428105 
 6432216 
 6436329 
 6440444 
 6444560 
 
 6448678 
 6452797 
 6456918 
 6461041 
 6465165 
 6469290 
 
 6473417 
 6477546 
 6481676 
 6485808 
 6489941 
 6494076 
 
 Secant 
 
 1-5972312 
 1-5961987 
 1-5951672 
 -5941366 
 1-5931070 
 1-5920783 
 1-5910505 
 1-5900238 
 1-5889979 
 1-5879731 
 1-5869491 
 1-5859261 
 1-5849041 
 1-5838830 
 1-5828628 
 1-5818436 
 1-5808253 
 1-5798079 
 1-5787915 
 1-5777760 
 1-5767615 
 1-6757479 
 1-5747352 
 1-5737234 
 1-5727126 
 1-5717026 
 1-5706936 
 1-5696856 
 1-5686784 
 1-5676722 
 1-5666669 
 1-5656625 
 1-5646590 
 1-5636564 
 1-6626548 
 1-5616540 
 1-5606542 
 1-5596552 
 1-5586572 
 1-5576601 
 
 1-5666639 
 1-5556685 
 1-5546741 
 1-5536806 
 
 1-1791784 
 1-1793*928 
 1-1796074 
 1-1798222 
 
 Cotan, 
 
 1-1800372 1525691 
 
 Vers. 
 
 1519519 
 1521061 
 1622603 
 1524147 
 
 1-1802523 
 1-1804676 
 1806831 
 1-1808988 
 1-1811146 
 M813307 
 1-1815469 
 1-1817633 
 
 1-1819798 
 1-1821966 
 1-1824135 
 1-1826306 
 1-1828479 
 1-1830654 
 1-1832830 
 1-1835008 
 1-1837188 
 1-1839370 
 1-1841554 
 1-1843739 
 1-1845927 
 1-1848116 
 1-1850307 
 1-1852600 
 1-1854694 
 1-1856890 
 1-1859089 
 1-1861289 
 1-1863490 
 1-1865694 
 M867900 
 1-1870107 
 1-1872316 
 1-1874527 
 1-1876740 
 1-1878954 
 M881171 
 1-1883389 
 1-1885609 
 1-1887831 
 1-1890055 
 1-1892280 
 l-5526880ll-l 894508 
 
 Dif. 
 
 1-5516963 
 1-5507054 
 1-5497155 
 1-5487264 
 1-5477383 
 1-5467510 
 1-5457647 
 1-5447792 
 1-5437946 
 1-5428108 
 1-5418280 
 1-5408460 
 1-5398650 
 
 Tang. 
 
 1-1896737 
 M 898968 
 1-1901201 
 1-1903436 
 1-1905673 
 1-1907911 
 1-1910152 
 1-1912394 
 1-1914638 
 1-1916884 
 M919132 
 M92138I 
 M 923633 
 
 1527235 
 
 1528781 
 
 1 530327 
 1531874 
 1533421 
 1634370 
 1536519 
 1538068 
 1539619 
 1541170 
 1542722 
 1544274 
 1545828 
 1547382 
 1548936 
 1550492 
 1662048 
 1563605 
 1556162 
 1556721 
 1668280 
 1659839 
 1561400 
 1662961 
 1564523 
 66086 
 1567649 
 1569213 
 1570778 
 1572343 
 1573909 
 1575476 
 
 1677044 
 1578612 
 1580181 
 1681751 
 1583321 
 1684892 
 1586464 
 1688037 
 1589610 
 1591184 
 1592769 
 1594334 
 1596910 
 1597487 
 1599064 
 1600643 
 1602222 
 1603801 
 1605382 
 1606963 
 1608545 
 1610127 
 1611710 
 1613294 
 
 1542 
 1542 
 1544 
 15441 
 1644 
 1546 
 1546 
 1547 
 547 
 1549 
 1549 
 1549 
 1651 
 1551 
 1562 
 1552 
 1554 
 1554 
 1654 
 
 8480481 
 8478939 
 8477397 
 8475853 
 8474309 
 8472765 
 8471219 
 
 Cosec. 
 
 .osine 
 
 8469673153 
 R468126}52 
 8466579151 
 8465030^50 
 8463481 49 
 8461932 48 
 
 8460381 
 8468830 
 8457278 
 8455726 
 8454172 
 8462618 
 8451064 
 
 ^llU449bOS 
 
 1556 
 1557 
 1557 
 1559 
 1559 
 
 1559 
 1561 
 1561 
 1 562 
 1663 
 1563 
 1564 
 1565 
 1565 
 1566 
 1567 
 1568 
 1568 
 1569 
 1570 
 1570 
 1571 
 1572 
 1573 
 1573 
 1574 
 1575 
 1575 
 1576 
 1577 
 1577 
 1579 
 1579 
 1579 
 1581 
 1581 
 1582 
 1582 
 1583 
 1584 
 
 8447952 
 8446395 
 8444838 
 8443279 
 8441720 
 8440161 
 8438600 
 8437039 
 
 Covers Dif 
 
 8435477 
 
 8433914 
 
 8432351 
 
 8430787 
 
 8429222 
 
 8427657 
 
 8426091 
 
 8424524 
 
 8422956 
 
 8421388 
 
 8419819 
 
 8418249 
 
 8416679 
 
 8415108 
 
 8413536 
 
 8411963 
 
 8410390 
 
 8408816 
 
 8407241 
 
 8405666 
 
 8404090 
 
 8402513 
 
 8400936 
 
 8399357 
 
 8397778 
 
 8396199 
 
 83946181 
 
 8393037 
 
 8391455 
 
 8389873 
 
 8388290 
 
 8386706 
 
 I Sine 
 
 Deg. 57. 
 
32 De£j. 
 
 LOG. SINES, &C. 
 
 (313) 
 
 Sine Dif. 
 
 97242097 
 97244118 
 97246138 
 97248156' 
 97250174 
 97252189 
 97254204 
 
 97256217 
 97258229 
 97260240 
 97262249 
 97264257 
 97266264 
 97268269 
 97270273 
 97272276 
 97274278 
 97276278 
 97278277 
 97230275 
 97282271 
 97284267 
 97286260 
 97288253 
 97290244 
 97292234 
 97294223 
 97296211 
 97298197 
 97300182 
 97302165 
 97304148 
 97306129 
 97308109 
 97310087 
 97312064 
 97314040 
 97316015 
 97317989 
 97319961 
 97321932 
 97323902 
 97325870 
 
 97327837 
 97329803 
 97331768 
 97333731 
 97335693 
 97337654 
 
 97339614 
 97341572 
 97343529 
 97345485 
 97347440 
 97349393 
 97351345 
 97353296 
 97355246 
 97357195 
 97359142 
 97361088 
 
 CosiiK 
 
 2021 
 
 2020 
 
 2018 
 
 2018 
 
 201 
 
 2015 
 
 2013 
 
 2012 
 2011 
 2009 
 2008 
 2007 
 2005 
 2004 
 2003 
 2002 
 2000 
 1999 
 1998 
 1996 
 1996 
 1993 
 1993 
 1991 
 1990 
 1989 
 1988 
 1986 
 1985 
 1983 
 1983 
 1981 
 1980 
 1978 
 1977 
 1976 
 1975 
 1974 
 1972 
 1971 
 1970 
 1968 
 1967 
 1966 
 1965 
 1963 
 1962 
 1961 
 1960 
 1958 
 1957 
 1956 
 1955 
 1953 
 1952 
 1951 
 1950 
 1949 
 1947 
 1946 
 
 m 
 
 Cosec. 
 
 10-2757903 
 10-2755882 
 10-2753862 
 10-2751844 
 10-2749826 
 10-2747811 
 10-2745796 
 
 10-2743783 
 10-2741771 
 10-2739760 
 10-2737751 
 10-2735743 
 10-2733736 
 10-2731731 
 10-2729727 
 10-2727724 
 10-2725722 
 10-2723722 
 10-2721723 
 
 10-2719725 
 10-2717729 
 10-2715733 
 10-2713740 
 10-2711747 
 10-2709756 
 10-2707766 
 10-2705777 
 10-2703789 
 10-2701803 
 10-2699818 
 10-2697835 
 10-2695852 
 10-2693871 
 10-2691891 
 10-2689913 
 10-2687936 
 10-2685960 
 
 10-2683985 
 10-2682011 
 10-2680039 
 10-2678068 
 10-2676098 
 10-2674130 
 10-2672163 
 10-2670197 
 10-2668232 
 10-2666269 
 10-2664307 
 10-2662346 
 
 10-2660386 
 0-2658428 
 10-2656471 
 10-2654515 
 10-2652560 
 10-2650607 
 10-2648655 
 10-2646704 
 10-2644754 
 10-2642806 
 10-2640858 
 10-2638912 
 
 Verscds. 
 
 Secant 
 
 9-181706 
 
 9-1821466 
 
 9-1825868 
 
 9-1830268 
 
 9-183466 
 
 9-1839060 
 
 •1B43452 
 9-1847842 
 9-1852230 
 9-18566 
 9-1860998 
 9-1865378 
 9-1869756 
 
 1874132 
 9-1878505 
 9-1882876 
 9-1887245 
 9-1891611 
 9-1895974 
 9-1900336 
 9-1904695 
 9-190905 
 9-1913406 
 9-1917758 
 9-1922107 
 9-1926454 
 9-1930799 
 9-1935142 
 9-1939482 
 9-1943819 
 9-1948155 
 9-h952488 
 9-1956819 
 9-1961147 
 9-1965473 
 9-1969797 
 9-1974118 
 
 9-1978437 
 9-1982754 
 9-1987068 
 9-1991380 
 9-1995690 
 9-? 999997 
 9-2004302 
 9-2008605 
 9-2012906 
 9-2017204 
 9-2021499 
 9-2025793 
 
 Tjing'. 
 
 9-7957892 
 9-7960703 
 9-7963613 
 9-7966322 
 9-7969130 
 9-7971938 
 9-7974745 
 9-7977551 
 9-7980356 
 9-7983160 
 9-7985964 
 9-7988767 
 9-7991569 
 9-7994370 
 9-7997170 
 9-7999970 
 9-8002769 
 9-8005567 
 9-8008365 
 9-8011161 
 9-8013957 
 9-8016752 
 9-8019546 
 9-8022340 
 9-8025133 
 9-8027925 
 9-8030716 
 9-8033506 
 9-8036296 
 9-8039085 
 9-8041873 
 9-8044661 
 9-8047447 
 9-8050233 
 9-8053019 
 9-8055803 
 9-8058587 
 9-8061370 
 9-8064152 
 9-8066933 
 9-8069714 
 9-8072494 
 9-8075273 
 9-8078052 
 9-8080829 
 9-8083606 
 9-8086383 
 9-8089158 
 9-8091933 
 
 9-2030084 9-8094707 
 9-2034373|9-8097480 
 9-2038660;9-8 100253 
 9-2042944 9-8103025 
 9-2047226 9-8105796 
 9-2051506 9-8108566 
 9-2055783 9-8'l 11336 
 9-2060058|9-81 14105 
 9-2064331 19-8116873 
 9-2068602 9-81 19641 
 9-8122408 
 9-8125174 
 
 9-2072870 
 9-2077136 
 
 ilovcvs. 
 
 Cvt)tang. 
 
 Dif. Cotang\ Covers. I Secant D. Cosine 
 
 2811 
 2810 
 2809 
 2808 
 2808 
 2807 
 2806 
 2805 
 2804 
 2804 
 2803 
 2802 
 2801 
 
 2800 
 2800 
 2/99 
 2798 
 2798 
 2796 
 2796 
 2795 
 2794 
 2794 
 2793 
 2792 
 2791 
 2790 
 2790 
 2789 
 2788 
 2788 
 2786 
 2786 
 2786 
 2784 
 2784 
 2783 
 2782 
 2781 
 2781 
 2780 
 2779 
 2779 
 
 2777 
 2777 
 2777 
 2775 
 75 
 2774 
 
 77:i 
 2.773 
 2772 
 2771 
 2770 
 70 
 2769 
 2768 
 
 768 
 2767 
 2766 
 
 Dif. 
 
 10-2042108 
 10-2039297 
 10-2036487 
 10-2033678 
 10-2030870 
 10-2028062 
 10-2025255 
 10-2022449 
 10-2019644 
 10-2016840 
 10-2014036 
 10-2011233 
 10.2008431 
 10-2005630 
 10-2002830 
 10-2000030 
 10-1997231 
 10-1994433 
 10-1991635 
 10-1988839 
 10-1986043 
 10-1983248 
 10-1980454 
 10-1977660 
 10-1974867 
 10-1972075 
 10-1969284 
 10-1966494 
 10-1963704 
 10-1960915 
 10-1958127 
 10-1955339 
 10-1952553 
 10-1949767 
 10-1946981 
 10-1944197 
 10-1941413 
 10-1938630 
 10-1935848 
 10-1933067 
 10-1930286 
 10-1927506 
 10-1924727 
 10-1921948 
 10-1919171 
 10-1916394 
 
 9-6721725 
 
 9-6719445 
 
 )-6717l65 
 
 9-6714884 
 
 9-6712602 
 
 9-6710319 
 
 9-6708036 
 
 9-6705752 
 
 9-G703467 
 
 9-670118 
 
 9-669889, 
 
 9-6696607 
 
 9-6694319 
 
 9-6692030 
 9-6689741 
 9-6687450 
 9-6685159 
 9-6682867 
 9-6680574 
 9-6678281 
 9-6675986 
 9-6673691 
 9-6671395 
 9-6669098 
 9-6666801 
 9-6664502 
 9-6662203 
 9-6659903 
 9-6657603 
 9-6655301 
 9-6652999 
 9-66oOG96 
 9-6648392 
 9-6':460B7 
 9-6643781 
 9-6641475 
 9-6639168 
 9-6636860 
 9-6634552 
 9-6632242 
 9-6629932 
 9-6627621 
 9-6625309 
 9-6622996 
 9-6620683 
 9-6618368 
 
 10-1913617I9-6616053 
 0-1910842J9-6613737 
 10-1908067 9-6611421 
 
 10- 1905293 9-6609103 
 9-6606785 
 9-66044G6 
 
 10-1902520 
 10-1899747 
 10-1896975 
 10-1894204 
 0-1891434 
 10-1888664 
 10-1835895 
 10-1883127 
 10-18803.59 
 10-1877592 
 10-1874826 
 
 'lano:. 
 
 6602146 
 9-6599825 
 9-6597504 
 9-6595182 
 9-6592858 
 
 6590535 
 9-6538210 
 9-6585884 
 9-6583558 
 
 Verscds. 
 
 10-0715795 
 10-0716585 
 10-0717375 
 10-0718166 
 10-0718957 
 10-0719749 
 10-0720541 
 10-0721334 
 10-0722127 
 10-0722921 
 10-0723715 
 10-0724510 
 10-0725305 
 10-0726101 
 10-0726897 
 10-0727694 
 10-9728491 
 10-0729289 
 1 0-073008 
 10-0730886 
 10-0731686 
 10-0732486 
 10-0733286 
 10-0734087 
 10-0734888 
 10-0735690 
 10-0736493 
 10-0737296 
 10-0738099 
 10-0738904 
 10-0739708 
 10-0740513 
 10-0741319 
 10-0742125 
 10-0742931 
 10-0743739 
 10-0744546 
 10-0745354 
 10-0746163 
 10-0746972 
 10-0747782 
 10-0748592 
 0-0749403 
 10-0750214 
 10-0751026 
 10-0751839 
 10-0752651 
 10-0753465 
 10-0754279 
 10-0755093 
 10-0755908 
 10-0756723 
 10-0757539 
 10-0758356 
 10-0/59173 
 0-0759990 
 10-0760809 
 10-0761627 
 100762446 
 100763266 
 10-0764086 
 
 Cosec. 
 
 790 
 790 
 791 
 791 
 792 
 792 
 793 
 793 
 794 
 794 
 795 
 795 
 796 
 796 
 797 
 797 
 798 
 798 
 799 
 800 
 800 
 800 
 801 
 801 
 802 
 
 803 
 803 
 803 
 805 
 804 
 805 
 806 
 806 
 806 
 808 
 807 
 808 
 809 
 809 
 810 
 810 
 811 
 811 
 812 
 813 
 812 
 814 
 814 
 814 
 815 
 815 
 816 
 817 
 817 
 817 
 819 
 818 
 819 
 820 
 820 
 
 w. 
 
 9-9284205 
 
 9-9283415 
 
 9-9282625 
 
 9-92818;: 
 
 9-9281043 
 
 9-9280251 
 
 9-9279459 
 
 9'927S666 
 
 9-9'277ii7 
 
 9-9277079 
 
 9-9276285 
 
 9-9275490 
 
 9-9274695 
 
 9-9273899 
 
 9-9273103 
 
 9-9272306 
 
 9-9271509 
 
 9-9270711 
 
 9-926.9913 
 
 9-9269114 
 
 9-9268314 
 
 9-9267514 
 
 9-9266714 
 
 9-9265913 
 
 9-.9265112 
 
 9-9264310 
 
 9-9263507 
 
 9-9262704 
 
 9-9261901 
 
 9-9261096 
 
 9-9260292 
 
 9-925.9487 
 9-9258681 
 9-9267875 
 9-9257069 
 9-925£26l 
 9-925o454 
 9-9254646 
 9'9253837 
 9-9253028 
 9-.9252218 
 9251408 
 9-9250597 
 9-9249786 
 9-9248974 
 9-9248161 
 9-9247349 
 9-9246535 
 9-9245721 
 
 9244907 
 9-8244092 
 9-9243277 
 9-9242461 
 9-9241644 
 9-9240827 
 9-9240010 
 9-9239191 
 9-9238373 
 9-9237554 
 9-9236734 
 9 9235914 
 
 Sine 
 
 Des. .57. 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 
 8 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 17 
 16 
 
 5 
 14 
 13 
 12 
 11 
 
 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 
 4 
 
 3 
 
 2 
 
 1 
 
 
 
(3 14) 33 Peg. 
 Sine Dif. Covers 
 
 NATURAL SINKS, 3cC. 
 
 Tab. 10. 
 
 5446390 
 
 5448830 
 
 5453707 
 5456' 1 45 
 5458583 
 5461020 
 
 5463456 
 5465892 
 5468328 
 5470763 
 5473198 
 5475632 
 
 5478066 
 5480499 
 5482932 
 5485365 
 5487797 
 5490228 
 5492659 
 5495090 
 5497520 
 5499950 
 5502379 
 5504807 
 5507236 
 5509663 
 5512091 
 5514518 
 5516944 
 5519370 
 5521795 
 5524220 
 5526645 
 29069 
 5531492 
 5533915 
 5536338 
 5538760 
 5541182 
 5543603 
 5546024 
 5548444 
 5550864 
 5553283 
 5555702 
 5558121 
 5560539 
 5562956 
 5565373 
 ;i567790 
 5570206 
 557262 
 5575036 
 5577451 
 5579865 
 5582279 
 5584692 
 5687105 
 5589517 
 5591929 
 
 Cosine Dif. 
 
 2440 
 2439 
 2438 
 2438 
 2438 
 2437 
 2436 
 2436 
 2436 
 2435 
 2435 
 2434 
 2434 
 
 2433 
 2433 
 2433 
 2432 
 2^.3 1 
 2431 
 2431 
 2430 
 2430 
 2429 
 2428 
 2429 
 
 2427 
 2428 
 2427 
 2426 
 2426 
 2425 
 2425 
 2425 
 2424 
 2423 
 2423 
 2423 
 2422 
 2422 
 2421 
 2421 
 2420 
 2420 
 2419 
 2419 
 2419 
 2418 
 2417 
 2417 
 
 2417 
 2416 
 2415 
 2415 
 2415 
 2414 
 2414 
 2413 
 2413 
 2412 
 2412 
 
 4553610 
 4551170 
 4548731 
 4546293 
 4543855 
 4541417 
 4538980 
 4536544 
 4534108 
 4531672 
 4529237 
 4526802 
 4624368 
 4521934 
 4519501 
 4517068 
 4514635 
 4512203 
 4509772 
 4507341 
 4504910 
 4502480 
 4500050 
 4497621 
 4495193 
 4492764 
 4490337 
 4487909 
 4485482 
 4483056 
 4480630 
 4478205 
 4475780 
 4473356 
 4470931 
 4468508 
 4466085 
 4463662 
 4461240 
 4458818 
 4456397 
 4453976 
 4451556 
 4449136 
 4446717 
 4444298 
 4441879 
 4439461 
 4437044 
 
 4434627 
 4432210 
 4429794 
 4427379 
 4424964 
 4422549 
 4420135 
 4417721 
 4415308 
 4412895 
 4410483 
 4408071 
 
 Vers. 
 
 Cosec. Tang. 
 
 Secant 
 
 6494076 
 6498212 
 6502350 
 6506490 
 6510631 
 6614774 
 6518918 
 6523064 
 6527211 
 6531360 
 6535511 
 6539663 
 6543817 
 6547972 
 6552129 
 6556287 
 6560447 
 6564609 
 6568772 
 
 6572937 
 
 6577103 
 
 6581271 
 
 6585441 
 
 6589612 
 
 659378 
 
 6597960 
 
 6602136 
 
 6606313 
 
 6610492 
 
 6614673 
 
 6618856 
 
 6623040 
 
 6627225 
 
 6631413 
 
 6635601 
 
 6639792 
 
 6643984 
 
 6648178 
 
 6652373 
 
 6656570 
 
 6660769 
 
 6664969 
 
 666917] 
 
 6673374 
 
 6677580 
 
 6681786 
 
 6685995 
 
 6690205 
 
 6694417 
 
 6698630 
 
 6702845 
 
 6707061 
 
 6711280 
 
 6715500 
 
 6719721 
 
 6723944 
 
 6728169 
 
 6732396 
 
 6736624 
 
 6740354 
 
 6745085 
 
 Cotan, 
 
 Cotang, 
 
 5398650 
 5388848 
 6379054 
 6369270 
 5359494 
 5349787 
 5339969 
 
 5330219 
 5320479 
 5310746 
 5301023 
 6291308 
 5281602 
 
 5271904 
 5262215 
 5252536 
 5242863 
 5233200 
 5223545 
 5213899 
 5204261 
 5194632 
 5185012 
 5175400 
 5165796 
 5156201 
 5146614 
 5137036 
 5127466 
 ^117905 
 5108352 
 
 5098807 
 5089271 
 5079743 
 5070224 
 5060713 
 5051210 
 5041716 
 5032229 
 5022751 
 5013282 
 5003821 
 4994367 
 4984923 
 4975486 
 4966058 
 4956637 
 4947225 
 4937822 
 4928426 
 4919039 
 4909659 
 4900288 
 4890925 
 4881570 
 4872223 
 4862884 
 4853654 
 4844231 
 4834916 
 4825610 
 
 Tan? 
 
 Secant Vers. Dif. Cosine 
 
 M923633 
 
 1-1925886 
 
 M 928142 
 
 M 930399 
 
 I -1932668 
 
 M934918 
 
 M937181 
 
 1 -1939446 
 
 M941712 
 
 M 943980 
 
 1-1946251 
 
 M948523 
 
 M950796 
 
 1-1953072 
 
 1-1955350 
 
 1-1957629 
 
 1-195991 
 
 1-1962194 
 
 1-1964479 
 
 1-1966767 
 M 969066 
 1-1971346 
 M973639 
 1-1975934 
 1-1978230 
 1-1980529 
 1-1982829 
 1-1985131 
 1-1987435 
 M989741 
 1-1992049 
 M994359 
 M996671 
 M998985 
 1-2001300 
 1-2003618 
 1-2005937 
 1-2008258 
 1-2010582 
 1-2012907 
 1-2015234 
 1-2017563 
 1-2019894 
 1-2022226 
 1-2024561 
 1-2026898 
 1-2029236 
 1-2031577 
 1-2033919 
 1-2036264 
 1-2038610 
 1-2040958 
 1-2043308 
 1-2045660 
 1-2048014 
 1-2050370 
 1-2052728 
 1-2055088 
 1-2057450 
 1-2059814 
 1-2062179 
 
 1613294 
 1614879 
 616464 
 1618050 
 1619637 
 1621226 
 1622813 
 1624402 
 1625991 
 1627582 
 1629173 
 1630764 
 1632357 
 1633950 
 1635544 
 1637138 
 1638734 
 
 1685 
 16 
 
 8386706 60 
 8385121 59 
 
 ..^ 8383.^36 68 
 '^^^ 8381950 
 
 ^P^ 8380363 
 ■^"^ 8378775 
 
 1^8377187 
 8375598 
 
 1589 
 1591 
 1591 
 1691 
 1593 
 159.^ 
 
 1694 
 1594 
 1596 
 1596 
 
 8367643 
 8366050 
 8364456 
 8362862 
 8361266 
 8359670 
 
 1640330 ;Jq^ 
 1641926 Jggg 8358074 
 1 643524,. Qj, 8356476 
 1645122 ^PQ 8354878 
 1646721 ^qq 8353279 39 
 1648320!;^^^ 8351680 38 
 1649920!^", 8350080 37 
 165152l|jgQ2 8348479 36 
 l653123Lo^ 8346877 35 
 16547251!^^^ 8345276 34 
 1656328 J ^^4 8343672 33 
 1657932 p"^ 8342068 32 
 1659537,^-8340463 31 
 1661142 JgQg 8338858 30 
 1662748 ,p„^ 8337252 2^ 
 1664354 ;^"a 8335646 28 
 1665962^^^8334038 27 
 1667570 :^"a 8332430 26 
 1669178 J gjQ 8330822 
 
 I670788ijg{^ 8329212 
 I672398|jgj 
 
 1674009 
 1675620 
 1677232 
 1678845 
 1680459 
 1682073 
 1683688 
 1685304 
 1686920 
 1688537 
 1690155 
 1691774 
 1693393 
 1695013 
 1696634 
 1698256 
 1699877 
 1701500 
 1703123 
 1704748 
 1706372 
 1707998 
 1709624 
 
 Cosec. Covers! Dif 
 
 1 
 1611 
 1612 
 1613 
 1614 
 1614 
 1615 
 1616 
 1616 
 1617 
 1618 
 1619 
 1619 
 1620 
 1621 
 1621 
 1622 
 1623 
 1623 
 1625 
 1624 
 1626 
 1626 
 
 8374009 
 
 8372418 
 
 8370827 
 
 8369236149 
 48 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 
 8327602 
 8325991 
 8324380 
 8322768 
 8321155 
 8319541 
 8317927 
 8316312 
 8314696 
 8313080 
 8311463 
 8309845 
 8308226 
 8306607 
 8304987 
 8303366 
 8301745 
 8300123 
 8298500 
 8296877 
 8295252 
 8293628 
 8292002 
 8290376 
 
 Sine 
 
 Deg. 56. 
 
33 Beg. 
 
 LOG. SINES, &C. 
 
 (315) 
 
 Sine 
 
 9736' 1 088 
 
 1 9-736'3032 
 
 2 9-7364976 
 8 9736Y*918 
 4 9-73(58859 
 6 97370799 
 
 6 97372737 
 
 7 97374675 
 
 8 973766'! I 
 
 9 97378546 
 10 97380479 
 1197382412 
 
 12 97384343 
 
 13 97386273 
 
 14 97388201 
 
 15 97390129 
 
 16 97392055 
 
 17 97393980 
 
 18 97395904 
 
 19 97397827 
 
 20 97399748 
 
 21 97401668 
 
 22 97403587 
 
 23 97405505 
 
 24 97407421 
 
 25 97409337 
 
 26 9741J251 
 
 27 97413164 
 
 28 97415075 
 
 29 97416986 
 
 30 97418895 
 
 31 97420803 
 
 32 97422710 
 
 33 97424616 
 3497426520 
 
 35 97428423 
 
 36 97430325 
 
 37 97432226 
 
 38 97434126 
 
 39 97436024 
 
 40 97437921 
 
 41 97439817 
 
 42 97441712 
 
 43 97443606 
 
 44 97445498 
 
 45 97447390 
 
 46 97449280 
 
 47 97451169 
 7453056 
 
 48 
 
 49 97454943 
 97456828 
 97458712 
 97460595 
 97462477 
 97464358 
 7466237 
 97468115 
 97469992 
 97471868 
 97473743 
 97475617 
 
 Cosine 
 
 Dit. 
 
 1944 
 1944 
 1942 
 1941 
 1940 
 1938 
 1938 
 1936 
 1935 
 1933 
 1933 
 1931 
 1930 
 1928 
 1928 
 1926 
 1925 
 1924 
 1923 
 1921 
 1920 
 1919 
 1918 
 191G 
 1916 
 1914 
 1913 
 1911 
 1911 
 1909 
 1908 
 1907 
 1906 
 1904 
 1903 
 1902 
 1901 
 1900 
 1898 
 1897 
 1896 
 1895 
 1894 
 1892 
 1892 
 1890 
 1889 
 1887 
 1887 
 1885 
 1884 
 1883 
 1882 
 1881 
 1879 
 1878 
 1877 
 1876 
 1875 
 1874 
 
 Cosec. 
 
 10-2638912 
 10-2636968 
 10-2635024 
 10-2633082 
 10-2631141 
 10-2629201 
 10-2627263 
 
 10-2625325 
 10-2623389 
 10-2621454 
 10-2619521 
 10-2617588 
 10-2615657 
 10-2613727 
 10-2611799 
 10-2609871 
 10-2607945 
 10-2606020 
 10-2604096 
 10-2602173 
 10-2600252 
 10-2598332 
 10-2696'413 
 10-2594495 
 10-2592579 
 10-2590663 
 10-2588749 
 10-2586836 
 10-2584925 
 10-2583014 
 10-2581105 
 
 10-2579197 
 10-2577290 
 10-2575384 
 10-2573480 
 10-2571577 
 10-2569675 
 10-2567774 
 10-2565874 
 10-2563976 
 10-2562079 
 10-2560183 
 10-2558288 
 10-2556394 
 10-2554502 
 10-2552610 
 10-2550720 
 10-2548831 
 10-2546944 
 
 10-2545057 
 10-2543172 
 10-2541288 
 10-2539405 
 10-2537523 
 10-2535642 
 10-2533763 
 10-2531885 
 10-2530008 
 10-2528132 
 10-2526257 
 10-2524383 
 
 Verseds. 
 
 9.2077136 
 9-2081400 
 9-2085661 
 9-2089920 
 9-2094177 
 9-2098432 
 
 2102684 
 9-2106934 
 9-2111182 
 9-2115428 
 9-2119671 
 9-2123912 
 9-2128151 
 •2132388 
 9-2136622 
 9-2140854 
 9-2145084 
 9-2149311 
 
 2153537 
 9-2157760 
 9-2161981 
 9-2166199 
 9-2170416 
 9-2174630 
 9-2178842 
 
 9-2183052 
 9-2187259 
 9-2191464 
 9-2195668 
 9-2199868 
 9-2204067 
 9-2208263 
 9-2212458 
 9-2216650 
 2220839 
 9-2225027 
 9-2229212 
 
 9-2233396 
 
 9-2237577 
 
 9-2241755 
 
 9-2245932 
 
 9.2250106 9 
 
 9-2254279 
 
 9-2258449 
 9-2262617 
 
 2266782 
 9-2270946 
 
 2275107 
 9-2279266 
 
 2283423 
 9-2287578 
 9-2291731 
 9-2295881 
 9-2300029 
 9-2304175 
 9-2308319 
 9-2312461 
 9-2316601 
 9-2320738 
 9-2324874 
 9-2329007 
 
 Tang. 
 
 8125174 
 8127939 
 8130704 
 8133468 
 8136231 
 8138993 
 8141755 
 ■8144516 
 •8147277 
 •8150036 
 •8152795 
 •8155554 
 ■8158311 
 •8161068 
 •8163824 
 •8166580 
 •8169335 
 •8172089 
 •8174842 
 •8177595 
 ■8180347 
 ■8183098 
 ■8185849 
 ■8188599 
 •8191348 
 •8194096 
 ■8196844 
 ■8199592 
 •8202338 
 ■8205084 
 ■8207829 
 ■8210574 
 ■8213317 
 ■8216060 
 ■8218803 
 •8221545 
 ■8224286 
 ■8227026 
 ■8229766 
 ■8232505 
 ■8235244 
 •8237981 
 ■8240719 
 
 ■8243455 
 ■8246191 
 ■8248926 
 ■8251660 
 ■8254394 
 ■8257127 
 ■8259860 
 ■8262592 
 ■8265323 
 ■8268053 
 •8270783 
 •8273513 
 •8276241 
 •8278969 
 -8281696 
 •8284423 
 -8287149 
 •8289874 
 
 Dif. 
 
 2765 
 2765 
 2764 
 2763 
 2762 
 2762 
 2761 
 2761 
 2759 
 2759 
 2759 
 2757 
 2757 
 2756 
 2756 
 2755 
 2754 
 2753 
 2753 
 2752 
 2751 
 2751 
 2750 
 2749 
 2748 
 2748 
 2748 
 2746 
 2746 
 2745 
 2745 
 
 2743 
 2743 
 2743 
 2742 
 2741 
 2740 
 2740 
 2739 
 2739 
 2737 
 2738 
 2736 
 2736 
 2735 
 2734 
 2734 
 2733 
 2733 
 2732 
 2731 
 2730 
 2730 
 2730 
 2728 
 2728 
 2727 
 2727 
 2726 
 2725 
 
 Cotang. I Covers. 
 
 1874826 9-6583558 
 
 1872061 
 1869296 
 1866532 
 1863769 
 1861007 
 1858245 
 1855484 
 1852723 
 1849964 
 1847205 
 1844446 
 1841689 
 1838932 
 1836176 
 1833420 
 1830665 
 1827911 
 1825158 
 1822405 
 1819653 
 1816902 
 1814151 
 1811401 
 1808652 
 1805904 
 1803156 
 1800408 
 1797662 
 1794916 
 1792171 
 1789426 
 1786683 
 1783940 
 1781197 
 1778455 
 1775714 
 1772974 
 1770234 
 1767495 
 1764756 
 176201a 
 1759281 
 
 1756545 
 1753809 
 1751074 
 1748340 
 1745606 
 1742873 
 1740140 
 1737408 
 1734677 
 1731947 
 1729217 
 1726487 
 1723759 
 1721031 
 1718304 
 1715577 
 1712851 
 1710126 
 
 9-6581231 
 9-6578903 
 9-6576574 
 9-6574245 
 9-6571914 
 9-6569583 
 9-6567251 
 9-6564918 
 9-6562585 
 9-6560250 
 9-6557915 
 9-6555579 
 9-6553242 
 9-6550904 
 9-6548566 
 9-6546227 
 9-6543887 
 9-6541546 
 9-6539204 
 9-6536861 
 9-6534518 
 9-6532174 
 9-6529829 
 6527483 
 9-6525136 
 9-6522789 
 9-6520441 
 9-6518092 
 9-6515742 
 6513391 
 6511039 
 9-6508687 
 9-6506334 
 9-6503980 
 9-6501625 
 9-6499269 
 9-6496913 
 9-6494556 
 9-6492197 
 9-6489839 
 9-6487479 
 9-6485118 
 
 9-6482757 
 
 6480394 
 
 9-6478031 
 
 9-6475667 
 
 9-6473303 
 
 9-6470937 
 
 6468571 
 
 9-6466204 
 
 6463836 
 
 9-6461467 
 
 9-6459097 
 
 9-6456726 
 
 9-6454355 
 9-6451983 
 9-6449610 
 6447236 
 9-6444861 
 9-6442486 
 
 Secant D. Cosine 
 
 10-0764086 
 10-0764907 
 10-0765728 
 10-0766550 
 10-0767372 
 10-0768195 
 10-0769018 
 10-0769842 
 10-0770666 
 10-0771491 
 10-0772316 
 10-0773142 
 10-0773968 
 10-0774795 
 10-0775623 
 10-0776451 
 10-0777279 
 10-0778109 
 10-0778938 
 10-0779768 
 10-0780599 
 10-0781430 
 10-0782262 
 10-0783094 
 10-0783927 
 10-0784760 
 10-0785594 
 10-0786428 
 10-0787263 
 10-0788098 
 10-0788934 
 10-0789771 
 10-0790607 
 10-0791445 
 10-0792283 
 10-0793122 
 10-0793961 
 10-0794800 
 10-0795640 
 10-0796481 
 10-0797322 
 10-0798164 
 10-0799006 
 10-0799849 
 10-0800692 
 10-0801536 
 10-0802381 
 10-0803225 
 10-0804071 
 10-0804917 
 10-0805763 
 10-0806610 
 10-0807458 
 10-0808306 
 10-0809165 
 10-0810004 
 10-0810854 
 10-0811704 
 10-0812555 
 10-0813406 
 10-0814258 
 
 821 
 821 
 822 
 822 
 823 
 823 
 824 
 824 
 825 
 825 
 826 
 826 
 827 
 828 
 828 
 828 
 830 
 829 
 830 
 831 
 831 
 832 
 832 
 833 
 833 
 834 
 834 
 835 
 835 
 836 
 837 
 836 
 838 
 838 
 839 
 839 
 839 
 840 
 841 
 841 
 842 
 842 
 843 
 843 
 844 
 845 
 844 
 846 
 846 
 846 
 847 
 848 
 848 
 849 
 849 
 850 
 850 
 851 
 851 
 862 
 
 9-923591 
 
 9-9235093 
 
 9-9234272 
 
 9-9233450 
 
 9-9232628 
 
 9-9231805 
 
 9-9230982 
 
 9-9230158 
 
 9-9229334 
 
 9-9228509 
 
 9-9227684 
 
 9-9226858 
 
 9226032 
 9-922620 
 
 9224377 
 9-9223549 
 9-9222721 
 9-9221891 
 9-9221062 
 9-9220232 
 9-9219401 
 9-9218570 
 9-9217738 
 9-9216906 
 9-9216073 
 9-9215240 
 9-9214406 
 
 9213572 
 9-9212737 
 9-9211902 
 9-9211066 
 9-9210229 
 
 9209393 
 9-9208555 
 9-9207717 
 
 9206878 
 9-9206039 
 9-9205200 
 9-9204360 
 
 9203519 
 9-9202678 
 9-9201836 
 9-9200994 
 9-9200151 
 
 9199308 
 9-9198464 
 9-9197619 
 9-9196775 
 9-9195929 
 9-9195083 
 9-9194237 
 9-9193390 
 9-9192542 
 9-9191694 
 9-9190845 
 9-9189996 
 9-9189146 
 9-9188296 
 9-9187445 
 9-9186594 
 9-9185742 
 
 Dif. 
 
 Secant Covers. Cotang. Dif. 
 
 Tang. 
 
 Verseds. 
 
 Cosec. 
 
 D. 
 
 Sine 
 
 3 S2 
 
 Deg. 56, 
 
(316) 34 Deg. natural sines, kc. 
 
 Tab. 10. 
 
 Sine Dif. Covers Coscc. ITatig. Cotang-. Secant I Vers. Dii. Cosine 
 
 5594340 
 55.%751 
 bh09\G'2 
 56'01572 
 50"O.SJ)81 
 o()0(3390 
 5608798 
 oti 11206' 
 5613614 
 5616'0'il 
 5618428 
 5620834 
 5623239 
 
 625645 
 5628049 
 5630453 
 5632857 
 5635260 
 5637663 
 5640066 
 5642467 
 5644869 
 5647270 
 5649670 
 5652070 
 5654469 
 5656868 
 
 659267 
 5661665 
 5664062 
 
 666459 
 5668856 
 5671252 
 5673648 
 5676043 
 5678437 
 5680832 
 5683225 
 5685619 
 5688011 
 5G90403 
 5692795 
 
 5695187 
 5697577 
 5699968 
 
 5 
 5704747 
 5707136 
 5709524 
 5711912^:;;; 
 5714290 ^ 
 
 2387 
 2386 
 
 2411 
 2411 
 2411 
 2410 
 
 2409 
 409 
 2408 
 2408 
 2408 
 2407 
 2407 
 2406 
 2405 
 2406 
 2404 
 2404 
 2404 
 2403 
 2403 
 2403 
 2401 
 2402 
 2401 
 2400 
 2400 
 2399 
 2399 
 2399 
 2398 
 2397 
 2397 
 2397 
 2396 
 2396 
 2395 
 2394 
 2395 
 2393 
 2394 
 2392 
 2392 
 2392 
 2392 
 2390 
 239 
 2389 
 2390 
 2389 
 2388 
 2388 
 
 5716686 
 5719073 
 5721459 
 5723844 
 5726229 
 5728614 
 5730998 
 S733381 
 5735764 
 
 Cosine Dif. 
 
 2385 
 2385 
 2385 
 2384 
 2383 
 2383 
 
 440807 1 
 44«5660 
 4403249 
 4400838 
 4398428 
 4396019 
 4393610 
 4391202 
 4388794 
 4386386 
 4383979 
 4381572 
 4379166 
 4376761 
 4374355 
 4371951 
 4369547 
 4367143 
 4364740 
 
 4362337 
 4359934 
 4357533 
 4355131 
 4352730 
 4350330 
 4347930 
 4345531 
 4343132 
 4340733 
 4338335 
 4335938 
 4333541 
 4331144 
 4328748 
 4326352 
 4323957 
 4321563 
 
 4319168 
 
 4316775 
 
 4314381 
 
 4311989 
 
 4309597 
 
 4307205 
 
 4304813 
 
 430242 
 
 4300032 
 
 4297643 
 
 4295253 
 
 4292864 
 
 4290476 
 
 4288088 
 
 4285701 
 
 4283314 
 
 1280927 
 
 4278541 
 
 4276156 
 
 4273771 
 
 4271386 
 
 4269002 
 
 4266619 
 
 4264236 
 
 1-7882916 
 
 1-7875208 
 
 1-7867508 
 
 1-7859817 
 
 1-7852133 
 
 1-7844457 
 
 1-7836790 
 
 1-782913 
 
 I-7S21479 
 
 1-7813836 
 
 1-7806201 
 
 1-7798574 
 
 7790955 
 1-7783344 
 
 7775741 
 1-7768146 
 1-7760559 
 1-7752980 
 1-7745409 
 1'7737845 
 1-7730290 
 1-7722743 
 1-7715204 
 1-7707672 
 1-7700149 
 
 7692633 
 
 7685125 
 
 7677625 
 
 7670133 
 
 7662649 
 
 7655173 
 
 7647704 
 
 7640244 
 
 763279 
 
 7625345 
 
 7617908 
 
 7610478 
 
 7603057 
 
 7595642 
 
 7588236 
 
 7580837 
 
 7573446 
 
 7566063 
 
 6745085 
 6749318 
 6753553 
 6757790 
 6762028 
 G76626'<i 
 6770509 
 6774752 
 677S997 
 6783243 
 6787492 
 6791741 
 6795993 
 6800246 
 6804501 
 6808758 
 6813016 
 6817276 
 6821537 
 6825801 
 6830066 
 6834333 
 6838601 
 6842871 
 6847143 
 6851416 
 6855692 
 6859969 
 6864247 
 6868528 
 6872810 
 
 6877093 
 6881379 
 6885666 
 6889955 
 6894246 
 6898538 
 6902832 
 6907128 
 6911425 
 6915725 
 6920026 
 6924328 
 
 7558687 
 7551320 
 7543959 
 7536607 
 7529262 
 7521924 
 
 1-7514595 
 1-7507273 
 1-7499958 
 1-7492651 
 1-7485352 
 1 -7478060 
 1-7470776 
 1 -7463499 
 1-7456230 
 1 -7448969 
 1-7441715 
 1-7434468 
 
 Vers. 
 
 Secant 
 
 1-4825610 1-2062179 
 1-4816311 1-2064547 
 
 6928633 
 
 6932939 
 
 6937247 
 
 6941557 
 
 6945868 
 
 6950181 
 
 6954496 
 
 6958813 
 
 6963131 
 
 6967451 
 
 697\77:i 
 
 6976097 
 
 6980422 
 
 6984749 
 
 6989078 
 
 6993409 
 
 699774 
 
 7002075 
 
 Cotan. 
 
 1-4807021 
 
 1-4797738 
 
 1-4788463 
 
 1-4779197 
 
 1-4769938 
 
 1-4760688 
 
 1-4751445 
 
 1-4742210 
 
 1-4732983 
 
 1-4723764 
 
 1-4714553 
 
 1-4705350 
 
 1-46961 5i 
 
 1-4686967 
 
 1-4677788 
 
 1-4668616 
 
 1-4659452 
 
 1-4650296 
 
 1-4641147 
 
 1-4632007 
 
 1-4622874 
 
 1-4613749 
 
 1-4604632 
 
 1-4595522 
 
 1-4586420 
 
 1-4577326 
 
 1-4568240 
 
 1-4559161 
 
 1-4550090 
 
 1-4541027 
 
 1-4531971 
 
 1-4522923 
 
 1-4513883 
 
 1-4504850 
 
 1-4495825 
 
 1-4486808 
 
 1-4477798 
 
 1-4468796 
 
 1-4459801 
 
 1-4450814 
 
 1-4441834 
 
 1-4432862 
 
 1-4423897 
 
 1-4414940 
 
 1 -440599 
 
 1-4397049 
 
 1-43881 
 
 1-4379187 
 
 1-4370268 
 
 1-4361356 
 
 1 -43524 
 
 1-4343554 
 
 1-4334664 
 
 1-4325781 
 
 1-4316906 
 
 1-4308039 
 
 1-4299178 
 
 1 -4290326 
 
 1-4281480 
 
 ll 
 
 ang. 
 
 2066917 
 1-2069288 
 1-2071662 
 1-2074037 
 1-2076415 
 
 1-2078794 
 
 1-2081175 
 
 1-2083559 
 
 1-2085944 
 
 1-2088331 
 
 1-2090720 
 
 1-2093112 
 
 1-2095505 
 
 1-2097900 
 
 1-2100297 
 
 1-2102696 
 
 1-2105097 
 
 1-2107500 
 
 1-2109905 
 
 1-2112312 
 
 1-211472 
 
 1-2117132 
 
 1-2119545 
 
 1-2121960 
 
 1-2124377 
 
 1-2126795 
 
 1-2129216 
 
 1-2131639 
 
 1-2134064 
 
 2136491 
 
 2138920 
 
 2141351 
 
 2143784 
 
 2146218 
 
 2148655 
 
 2151094 
 
 215353 
 
 2155978 
 
 2158423 
 
 2160870 
 
 2163319 
 
 2165770 
 
 2168223 
 
 2170678 
 
 2173135 
 
 2175594 
 
 1-217805 
 
 1-2180518 
 
 1-2182983 
 
 1-2185450 
 
 1-2187919 
 
 1-2190390 
 
 1-2192864 
 
 1-2195339 
 
 1-2197816 
 
 1-2200296 
 
 1-2202777 
 
 l-2!20526'0 
 
 1-22077 46 
 
 1 709624 
 1711251 
 
 712879 
 1714507 
 1716136 
 1717766 
 1719397 
 1721028 
 1722660 
 1724292 
 1725926 
 1 727560 
 1729194 
 
 730830 
 1732466 
 1734103 
 1 735740 
 1737378 
 1739017 
 1740657 
 1742297 
 1 743938 
 1745580 
 1747222 
 1748865 
 1750509 
 1752153 
 1753798 
 1755444 
 1757091 
 1758738 
 1760386 
 1762035 
 1763684 
 1 765334 
 1766985 
 1768636 
 1770288 
 1771941 
 1773595 
 1775249 
 1776904 
 1778560 
 1780216 
 178187 
 178353 
 1785189 
 1786848 
 1788508 
 1790168 
 1791830 
 1 79349 
 1795154 
 \796S\7 
 179848] 
 1800 I 4( 
 180181 
 180347; 
 1805144 
 1 8068 1 1 
 
 Cosec. 
 
 1627 
 628 
 628 
 629 
 630 
 1631 
 631 
 632 
 632 
 634 
 1634 
 1634 
 1636 
 
 8290376 
 8288749 
 8287121 
 8285493 
 8283864 
 8282234 
 8280603 
 8278972 
 8277340 
 8275708 
 8274074 
 8272440 
 * 8270806 
 
 ,..„J8269170 
 lu^o g267534 
 
 8265897 
 8264260 
 8262622 
 8260983 
 
 1637 
 1637 
 1638 
 1639 
 1640 
 ,.,,^8259343 
 
 P^^ 8257703 
 ^;!A!8266062 
 
 64?i^254420 
 ^J>252778 
 1^^3 825,135 36 
 
 .,824949135 
 
 ^^^8247847 34 
 
 ,^.^2j 8246202 33 
 
 !!]5'8244556 32 
 
 ^^8242909 31 
 
 8241262 
 
 60 
 59 
 
 58 
 57 
 56 
 55 
 
 54 
 
 53 
 52 
 51 
 
 50 
 49 
 
 48 
 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 
 1647 
 1648 
 1649 
 1649 
 1650 
 1651 
 1651 
 1652 
 1653 
 1654 
 1654 
 1655 
 1656 
 1656 
 1657 
 1658 
 1658 
 1659 
 1660 
 1660 
 1662 
 1661 
 1663 
 1663 
 1664 
 1665 
 1665 
 : 1666 
 1667 
 1667 
 1669 
 
 8239614 
 8237965 
 8236316 
 8234666 
 8233015 
 8231364 
 8229712 
 18228059 
 8226405 
 8224751 
 8223096 
 8221440 
 8219784 
 8218127 
 8216469 
 8214811 
 8213152 
 8211492 
 8209832 
 8208170 
 8206509 
 8204846 
 8203183 
 8201519 
 8199854 
 8198189 
 8196523 
 8194856 
 8193189 
 8191520 
 
 Covers IJif. Sine 
 
 Deg. 55, 
 
54 Deg. 
 
 LOG. SINES, &C. 
 
 (317) 
 
 Sine Di.t'.| Cosec. Verseds. Tang. jDif. Cotang. Covers. Secant D 
 
 Cosine 
 
 9-7475617 
 97477489 
 9-7479360 
 9-7481230 
 9-7483099 
 9-74849()7 
 9.7486'833 
 
 9-7488698 
 9-7490562 
 7492425 
 9-7494287 
 9-7496148 
 9-7498007 
 9-7499866 
 7501723 
 9-7503579 
 9-7505434 
 9-7507287 
 9-7509140 
 9-7510991 
 9-7512842 
 9-7514691 
 9-7516538 
 9-7518385 
 7520231 
 9-7522075 
 9-7523919 
 7525761 
 9-7527602 
 9-7529442 
 9-7531280 
 9-7533II8 
 9-7534954 
 7536790 
 9-7538624 
 9-7540457 
 9-7542288 
 9-7544119 
 9-7545949 
 9-754777 
 9-7549604 
 9-7551431 
 9-7553256 
 9-7555080 
 9-7556902 
 9-7558724 
 9-7560544 
 9-75623<)4 
 9-7564182 
 9-7565999 
 9-7567815 
 5 lj9-7 569630 
 52 9-7571444 
 539-7573256 
 549-7575068 
 
 559-7576878 
 5697578687 
 
 9-7580495 
 9-7582302 
 9-7584108 
 9-7585913 
 
 872; 
 18711 
 1870 
 18691 
 1868 
 1866 
 1865 
 1864 
 1863 
 1862 
 1861 
 1859 
 1859 
 1857 
 1856 
 1855 
 1853 
 1853 
 1 
 1851 
 1849 
 1847 
 1847 
 1846 
 1844 
 1844 
 1842 
 1841 
 1840 
 1838 
 1838 
 1836 
 1836 
 1834 
 1833 
 1831 
 1831 
 
 1830 
 1828 
 1827 
 1827 
 1825 
 1824 
 1822 
 1822 
 1820 
 1820 
 1818 
 1817 
 1816 
 1815 
 1814 
 1812 
 1812 
 1810 
 1809 
 1808 
 1807 
 1806 
 1805 
 
 10-2524383 
 
 10-2522511 
 
 10-2520640 
 
 10-2518770 
 
 10-2516901 
 
 10-2515033 
 
 10-2513167 
 
 10-2511302 
 
 10-2509438 
 
 10-2507575 
 
 10-2505713 
 
 10-2503852 
 
 10-2501993 
 
 10-2500134 
 
 10-2498277 
 
 10-2496421 
 
 10-2494566 
 
 10-2492713 
 
 10-2490860 
 
 10-2489009 
 
 10-24871 
 
 10-2485309 
 
 10-2483462 
 
 10-2481615 
 
 10-2479769 
 
 10-2477925 
 
 10-2476081 
 
 10-2474239 
 
 10-2472398 
 
 10-2470558 
 
 10-2468720 
 
 10-2466882 
 
 10-2465046 
 
 10-2463210 
 
 10-2461376 
 
 10-2459543 
 
 10-2457712 
 
 10-2455881 
 
 10-2454051 
 
 10-2452223 
 
 10-2450396 
 
 10-2448569 
 
 10-2446744 
 
 10-2444920 
 
 10-2443098 
 
 10-2441276 
 
 10-2439456 
 
 10-2437636 
 
 10-2435818 
 
 10-2434001 
 
 10-2432185 
 
 10-2430370 
 
 10-2428556 
 
 10-2426744 
 
 10-2424932 
 
 10-2423122 
 10-2421313 
 10-2419505 
 10-2417698 
 10-2415892 
 10-2414087 
 
 9-2329007 
 9-2333138 
 9-2337267 
 9-2341393 
 9-2345518 
 9-2349640 
 9-2353761 
 9-2357879 
 9-2361995 
 9-2366109 
 9-2370221 
 9-2374330 
 2378438 
 2382543 
 9-2386647 
 9-2390748 
 9-2394847 
 9-2398944 
 2403038 
 
 9-2407131 
 9-2411222 
 
 9-8289874 
 9-8292599 
 9-8295323 
 9-8298047 
 9-8300769 
 9-8303492 
 9-8306213 
 9-8308934 
 9-8311654 
 9-8314374 
 9-8317093 
 9-8319811 
 9-8322529 
 9-8325246 
 9-8327963 
 9-8330679 
 9-8333394 
 9-8336109 
 9-8338823 
 9-8341536 
 9-8344249 
 
 9-2415310 9-8346961 
 9-2419396 9-8349673 
 9-24234819-8352384 
 2427563 9-8355094 
 9-2431643 9-8357804 
 
 9-2435721 
 9-2439797 
 9-2443871 
 9-2447942 
 9-2452012 
 9-2456079 
 9-2460145 
 9-2464208 
 9-2468269 
 9-2472328 
 9-2476385 
 9-2480440 
 9-2484493 
 9-2488544 
 9-2492593 
 9-2496640 
 9-2500684 
 9-2504727 
 9-2508767 
 9-2512806 
 9-2516842 
 9-2520876 
 9-2524909 
 9-2528939 
 9-2532967 
 9-2536993 
 9-2541017 
 9-2545039 
 9-2549059 
 
 2553077 
 9-2557093 
 9-2561107 
 9-2565119 
 9-2569128 
 9-2573136 
 
 9-8360513 
 9-8363221 
 8365929 
 9-8368636 
 9-8371343 
 9-8374049 
 9-8376755 
 9-8379460 
 9-8382164 
 9-8384867 
 9-8387571 
 9-8390273 
 9-8392975 
 9-8395676 
 9-8398377 
 9-8401077 
 9-8403776 
 9-840647 
 9-8409174 
 9-8411871 
 9-8414569 
 9-8417265 
 9-8419961 
 9-8422657 
 9-8425351 
 9-8428046 
 9-8430739 
 9-8433432 
 9-8436125 
 
 9-8438817 
 9-8441508 
 9-8444199 
 9-8446889 
 9-8449579 
 -8452268 
 
 2725 
 2724 
 2724 
 2722 
 2723 
 2721 
 2721 
 2720 
 2720 
 2719 
 2718 
 2718 
 2717 
 
 2717 
 2716 
 2715 
 2715 
 2714 
 2713 
 2713 
 2712 
 2712 
 2711 
 2710 
 2710 
 2709 
 2708 
 2708 
 2707 
 2707 
 2706 
 2706 
 2705 
 2704 
 2703 
 2704 
 2702 
 2702 
 2701 
 2701 
 2700 
 2699 
 2699 
 2699 
 2697 
 2698 
 2696 
 2696 
 2696 
 2694 
 2695 
 2693 
 2693 
 2693 
 2692 
 
 2691 
 2691 
 2690 
 2690 
 2689 
 
 10-1710126 
 10-1707401 
 10-1704677 
 10-1701953 
 10-1699231 
 0-1696508 
 10-1693787 
 10-1691066 
 10-1688346 
 10-1685626 
 10-1682907 
 10-1680189 
 10-1677471 
 10-1674754 
 10-1672037 
 10-1669321 
 10-1666606 
 10-1663891 
 10-1661177 
 10-1658464 
 10-1655751 
 10-1653039 
 10-1650327 
 10-1647616 
 10-1644906 
 10-1642196 
 10-1639487 
 10-1636779 
 10-1634071 
 10-1631364 
 10-1628657 
 10-1625951 
 10-1623245 
 10-1620540 
 10-1617836 
 10-1615133 
 10-1612429 
 
 10-1609727 
 10-1607025 
 10-1604324 
 10-1601623 
 10-1598923 
 10-1596224 
 10-1593525 
 10-1590826 
 10-1588129 
 10-1585431 
 10-1582735 
 10-1580039 
 10-1577343 
 10-1574649 
 10-1571954 
 10-1569261 
 10-1566568 
 10-1563875 
 10-1561183 
 10-1558492 
 10-1555801 
 10-1553111 
 10-1550421 
 10-1547732 
 
 9-6442486 
 9-6440109 
 
 6437732 
 9-6435354 
 9-6432975 
 9-6430596 
 
 6428215 
 9-6425834 
 9-6423452 
 9-6421068 
 
 6418685 
 
 6416300 
 9-6413914 
 9-6411528 
 9-6409141 
 
 6406753 
 9-6404364 
 
 6401974 
 
 6399583 
 9-6397192 
 9-6394800 
 
 6392406 
 9-639001 ;>f 
 9-638761 
 9-6385222 
 9-638282.^ 
 
 6380428 
 9-6378030 
 9-6375631 
 9-6373231 
 
 6370830 
 9-6368429 
 9-6366026 
 9-6363623 
 9-6361219 
 9-6358814 
 9-6356408 
 
 6354001 
 9-6351594 
 9-6349185 
 9-6346776 
 9-6344366 
 9-6341955 
 9-6339543 
 
 633713 
 9-6334717 
 9-6332303 
 9-6329888 
 9-6327472 
 9-6325055 
 9-6322637 
 9-6320218 
 9-6317799 
 9-6315378 
 9-6312957 
 9-6310535 
 9-6308112 
 9-6305688 
 9-6303264 
 9-6300838 
 9-6298412 
 
 10-0814258 
 10-0815110 
 10-0815963 
 10-0816817 
 10-0817671 
 10-0818525 
 10-0819380 
 0-0820236 
 10-0821092 
 10-0821949 
 10-0822806 
 10-0823664 
 10-0824522 
 
 10-0825381 
 10-0826240 
 10-0827100 
 10-0827960 
 10-0828821 
 10-0829683 
 10-0830546 
 1 0-083 140;" 
 0-0832270 
 1 0-0833 1S4 
 10-0833.998 
 10-0831863 
 10-0835728 
 iO-0836594 
 10-0837461 
 10-0838327 
 10-0839195 
 10-0840063 
 10-084093 
 10-0841800 
 10-0842670 
 10-0843540 
 10-0844411 
 10-0845282 
 10-0846154 
 10-0847026 
 10-0847899 
 10-0848772 
 10-0849646 
 10-0850521 
 10-0851396 
 10-0852271 
 10-0853148 
 10-0854024 
 10-0854901 
 10-0855779 
 10-0856658 
 10-0857536 
 10-0858416 
 10-0859296 
 10-08601 
 10-0861057 
 10-0861939 
 10-0862821 
 10-0863704 
 10-0864587 
 10-0865470 
 10-0866356 
 
 852 
 853 
 854 
 
 854 
 854 
 855 
 856 
 856 
 857 
 857 
 858 
 858 
 859 
 
 859 
 
 860 
 
 860 
 
 861 
 
 862 
 
 862 
 
 862 
 
 363 
 
 864 
 
 S64 
 
 865 
 
 865 
 
 866 
 
 867 
 
 866 
 
 868 
 
 868 
 
 868 
 
 869 
 
 870 
 
 870 
 
 871 
 
 871 
 
 872 
 
 872 
 
 873 
 
 873 
 
 874 
 
 875 
 
 875 
 
 875 
 
 877 
 
 876 
 
 87 
 
 878 
 
 879 
 
 878 
 
 880 
 
 880 
 
 880 
 
 881 
 
 882 
 
 882 
 
 883 
 
 883 
 
 883 
 
 885 
 
 9-9185742 
 
 9-9184890 
 
 9-918403 
 
 9-9183183 
 
 9-9182329 
 
 9-918147 
 
 9-9180620 
 
 9-9179764 
 
 9-9178908 
 
 178051 
 9-9177194 
 9-9176336 
 9-9175478 
 9-9174619 
 9-9173760 
 9-9172900 
 9-9172040 
 9-9171179 
 9-9170317 
 9-9169455 
 9-9168593 
 9-9167730 
 9-9166866 
 9-9166002 
 9-9165137 
 9-9164272 
 9-9163406 
 9-9162539 
 9-9161673 
 9-9160805 
 9-9159937 
 9-9159069 
 9-9158200 
 
 157330 
 9-9156460 
 9-9155589 
 )-91547l8 
 9-9153846 
 9-9152974 
 9-9152101 
 9-9151228 
 9-9150354 
 9-9149479 
 9-9148604 
 9-9147729 
 9-9146852 
 9-9145976 
 9-9145099 
 9-9144221 
 9-9143342 
 9-9142464 
 9-9141584 
 9-9140704 
 9-9139824 
 9-9138943 
 9-9138061 
 9-9137179 
 9-9136296 
 9-9135413 
 9-9134530 
 9-9133645 
 
 60 
 59 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 47 
 IG 
 45 
 14 
 43 
 12 
 41 
 40 
 39 
 38 
 37 
 36 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 17 
 16 
 15 
 14 
 13 
 12 
 
 llf 
 10 
 9 
 
 8 
 7 
 6 
 5 
 4 
 3 
 2 
 1 
 
 
 T 
 
 Cosine 
 
 Dif. 
 
 Secant 
 
 Covers. [Cotang. Dif. 
 
 Tang. 
 
 Verseds. 
 
 Cosec. 
 
 D. 
 
 Sine 
 
 00. 
 
(318) 35 Deg. NATURAL SINES, &c. 
 
 Tab. 10. 
 
 Sine 
 
 57357G4 
 5738147 
 5740529 
 5742911 
 5745292 
 5747072 
 5750053 
 5752432 
 5754811 
 5757190 
 5759568 
 761946 
 5764323 
 5766700 
 5769076 
 5771452 
 5773827 
 5776202 
 5778576 
 5780950 
 5783323 
 5785696 
 5788069 
 5790440 
 5792812 
 
 5795183 
 5797553 
 5799923 
 5802292 
 5804661 
 5807030 
 
 5809397 
 5811765 
 5814132 
 5816498 
 5818864 
 5821230 
 5823595 
 5825959 
 5828323 
 5830687 
 5833050 
 5835412 
 5837774 
 5840136 
 5842497 
 5844857 
 5847217 
 5849577 
 5851936 
 5854294 
 5856652 
 5859010 
 58G1367 
 5863724 
 5866080 
 5868435 
 5870790 
 5873145 
 5875499 
 5877853 
 
 D'li. Covers Cosec 
 
 2383 
 2382 
 2382 
 2381 
 2380 
 2381 
 2379 
 2379 
 2379 
 2378 
 2378 
 2377 
 2377 
 
 2376 
 2376 
 2375 
 .'376 
 2374 
 2374 
 2373 
 2373 
 2373 
 2371 
 2372 
 2371 
 2370 
 2370 
 2369 
 2369 
 2369 
 2367 
 2368 
 2367 
 2366 
 2366 
 2366 
 2365 
 2364 
 2364 
 2364 
 2363 
 2362 
 2362 
 2362 
 2361 
 2360 
 2360 
 2360 
 2359 
 2358 
 2358 
 2358 
 2357 
 2357 
 2356 
 2355 
 2355 
 2355 
 2354 
 2354 
 
 4264236 
 4261853 
 4259471 
 4257089 
 4254708 
 4252328 
 4249947 
 
 4247568 
 
 4243189 
 
 4242810 
 
 4240432 
 
 4238054 
 
 4235677 
 
 4233300 
 
 4230924 
 
 4228548 
 
 ^226173 
 
 4223798 
 
 4221424 
 
 4219050 
 
 4216677 
 
 4214304 
 
 4211931 
 
 4209560 
 
 4207188 
 
 4204817 
 
 4202447 
 
 4200077 
 
 4197708 
 
 4195339 
 
 4192970 
 
 4190603 
 
 4188235 
 
 4185868 
 
 4183502 
 
 4181136 
 
 4178770 
 
 4176405 
 
 4174041 
 
 4171677 
 
 4169313 
 
 4166950 
 
 4164588 
 
 4162226 
 
 4159864 
 
 4157503 
 
 4155143 
 
 4152783 
 
 4150423 
 
 4148064 
 
 4145706 
 
 4143348 
 
 4140990 
 
 413863 
 
 4136276 
 
 4133920 
 4131565 
 4129210 
 4126855 
 4124501 
 4122147 
 
 1-7434468 
 1-7427229 
 1-7419997 
 1-7412773 
 1-7405556 
 1-7398347 
 1-7391145 
 
 1-7383951 
 
 7002075 
 7006411 
 7010749 
 7015089 
 7019430 
 7023773 
 7028118 
 7032464 
 1-7376764 7036813 
 7041163 
 7045515 
 7049869 
 7054224 
 
 1-7369585 
 1-7362413 
 1-7355248 
 1-7348091 
 1-7340941 
 1-7333798 
 1-7326663 
 7319535 
 1-7312414 
 1-7305301 
 
 7058581 
 7062940 
 7067301 
 7071664 
 7076028 
 7080395 
 1-7298195 7084763 
 
 1-7291096 
 1-7284005 
 1-7276921 
 1-7269844 
 1-7262/74 
 1-7255712 
 1-7248657 
 1-7241609 
 1-7234568 
 1-7227534 
 1-7220508 
 1-7213489 
 1-7206477 
 1-7199472 
 1-7192475 
 1-7185484 
 1-7178501 
 
 1-7171525 
 1-7164556 
 1-7157594 
 1-7150639 
 1-7143691 
 1-7136750 
 
 1-7129817 
 1-7122890 
 1-7115970 
 1-7109058 
 1-7102152 
 1-7095254 7212227 
 
 Tang. 
 
 7089133 
 7093504 
 7097878 
 7102253 
 7106630 
 7111009 
 7115390 
 7119772 
 7124157 
 7128543 
 7132931 
 7137320 
 7141712 
 7146106 
 7150501 
 7154898 
 7159297 
 7163698 
 7168100 
 7172505 
 7176911 
 7181319 
 7185729 
 
 7190141 
 7194554 
 7198970 
 7203387 
 7207806 
 
 1-7088362 
 1-7081478 
 1-7074601 
 1-7067730 
 1-7060867 
 1-7054010 
 1-7047160 
 1-7040318 
 1-7033482 
 1-7026653 
 1-7019831 
 1-7013016 
 
 7216650 
 7221075 
 7225502 
 7229930 
 7234361 
 7238793 
 7243227 
 7247663 
 7252101 
 7256540 
 7260982 
 7265425 
 
 Cotang. 
 
 1-4281480 
 1-4272642 
 1-4263811 
 1-4251988 
 1-4246171 
 1-4237362 
 1-4228561 
 1-4219766 
 1-4210979 
 1-4202200 
 1-4193427 
 1-4184662 
 1-4175904 
 1-4167153 
 1-4158409 
 1-4149673 
 1-4140943 
 1-4132221 
 1-4123506 
 1-4114799 
 1-4106098 
 1-4097405 
 1-4088718 
 1-4080039 
 1-4071367 
 1-4062702 
 1 -4054044 
 1-4045393 
 1-4036749 
 1.-4028113 
 1-4019483 
 1-4010860 
 1-4002245 
 1-3993636 
 1-3985034 
 1-3976440 
 1-3967852 
 1-3959272 
 1-3950698 
 1-3942131 
 1-3933571 
 1-3925019 
 1-3916473 
 1-3907934 
 1-3899401 
 1-3890876 
 1-3882358 
 1-3873847 
 1-3865342 
 1-3856844 
 1-3848353 
 1-3839869 
 1-3831392 
 1-3822922 
 1-3814458 
 1-3806001 
 1-3797551 
 1-3789108 
 1-3780672 
 1-3772242 
 1-3763819 
 
 Secant Vers. Dif. Cosine ' 
 
 1-2207746 
 1-2210233 
 1-2212723 
 1-2215215 
 1-2217708 
 1-2220204 
 1-2222702 
 1-2225202 
 1-2227703 
 1-2230207 
 1-2232713 
 1-2235222 
 1-2237732 
 
 1-2240244 
 1-2242758 
 1-2245274 
 1-2247793 
 1-2250313 
 1-2252836 
 1-2255361 
 1-2257887 
 1-2260416 
 1-2262947 
 1-2265480 
 1-2268015 
 1-2270552 
 1-2273091 
 1-2275633 
 1-2278176 
 1-2280722 
 1-2283269 
 1-2285819 
 1-2288371 
 1-2290924 
 1-2293480 
 1-2296039 
 1-2298599 
 1-2301161 
 1-2303725 
 1-2306292 
 1-2308861 
 1-2311432 
 1-2314004 
 1-2316579 
 1-2319156 
 1-2321736 
 1-2324317 
 1-2326900 
 1-2329486 
 1-2332074 
 1-2334664 
 1-2337256 
 1-2339850 
 I -2342446 
 1-2345044 
 1-2347645 
 1-2350248 
 1-2352852 
 1-2355459 
 1-2358069 
 1-2360680 
 
 1808480 
 1810148 
 1811818 
 1813488 
 1815159 
 1816831 
 1818503 
 1820176 
 1821849 
 1823524 
 1825199 
 1826875 
 1828551 
 1830228 
 1831906 
 1833584 
 1835264 
 1836944 
 1838624 
 1840305 
 1841987 
 1843670 
 1845353 
 1847037 
 1848722 
 
 1850407 
 1852094 
 1853780 
 1855468 
 1857156 
 1858845 
 1860534 
 1862225 
 1863916 
 1865607 
 1867299 
 1868992 
 
 1870686 
 1872380 
 1874075 
 1875771 
 1877468 
 1879165 
 
 1880863 
 1882561 
 1884260 
 1885960 
 1887661 
 1889362 
 1891064 
 1892766 
 1894470 
 1896174 
 1897878 
 1899584 
 1901290 
 1902996 
 1904704 
 1906412 
 1908121 
 1909830 
 
 1668 
 1670 
 1670 
 1671 
 1672 
 1672 
 1673 
 
 1673 
 1675 
 1675 
 1676 
 1676 
 1677 
 1678 
 1678 
 1680 
 1680 
 1680 
 1681 
 
 1682 
 1683 
 1683 
 1684 
 1685 
 1685 
 
 1687 
 1686 
 1688 
 1688 
 1689 
 1689 
 1691 
 1691 
 1691 
 1692 
 1693 
 1694 
 1694 
 1695 
 1696 
 1697 
 1697 
 1698 
 1698 
 1699 
 1700 
 1701 
 1701 
 1702 
 1702 
 1704 
 1704 
 1704 
 1706 
 1706 
 
 1706 
 1708 
 1708 
 1709 
 1709 
 
 8191520 
 8189852 
 8188182 
 8186512 
 8184841 
 8183169 
 8181497 
 8U9824 
 8178151 
 8176476 
 8174801 
 8173125 
 8171449 
 8169772 
 8168094 
 8166416 
 8164736 
 8163056 
 8161376 
 8159695 
 8158013 
 8156330 
 8154647 
 8152963 
 8151278 
 8149593 
 8147906 
 8146220 
 8144532 
 8142844 
 8141155 
 8139466 29 
 
 8137776 
 8136084 
 8134393 
 8132701 
 8131008 
 8129314 
 8127620 
 8125925 
 8124229 
 8122532 
 8120835 
 8119137 
 8117439 
 8115740 
 8114040 
 8112339 
 8110638 
 8108936 
 8107234 
 8105530 
 8103826 
 8102122 
 8100416 
 8098710 
 8097004 
 8095296 
 8093588 
 8091879 
 8090170 
 
 CosinelDif. Vers. I Secant Cotan. 
 
 Tang. 
 
 Cosec. 
 
 Covers 
 
 Dif. Sine 
 Deg. 54. 
 
LOG. SINES, &C. 
 
 (319) 
 
 Sine 
 
 9-7585913 
 9-7587717 
 ! 9-7589519 
 3 9-7591321 
 9-7593121 
 I 9-7594920 
 19-7596718 
 9-7598515 
 9-7600311 
 9-7602106 
 7603899 
 9-7605692 
 9-7607483 
 9-7609274 
 9-7611063 
 9-7612851 
 9-7614638 
 9-7616424 
 9-7618208 
 9-7619992 
 9-7621775 
 9-7623556 
 9-7625337 
 9-7627116 
 9-7628894 
 
 7630671 
 9-7632447 
 9-7634222 
 9-763S996 
 9-7637769 
 9-7639540 
 9-7641311 
 9-7643080 
 9-7644849 
 9-764661 
 9-7648382 
 9-7650147 
 9-7651911 
 9-7653674 
 9-7655436 
 9-7657197 
 9-7658957 
 9-7660715 
 9-7662473 
 9-7664229 
 9-7665985 
 9-7667789 
 9-7669492 
 9-7671244 
 9-7672996 
 9-7674746 
 9-7676494 
 9-7678242 
 9-7679989 
 9-7681735 
 9-7683480 
 9-7685223 
 9-7686966 
 9-7688707 
 9-7690448 
 9-7692187 
 
 Cosine 
 
 Dif. Cosec. 
 
 1804 
 1802 
 1802 
 1800 
 1799 
 1798 
 1797 
 1796 
 1795 
 1793 
 1793 
 1791 
 1791 
 1789 
 1788 
 1787 
 1786 
 1784 
 1784 
 1783 
 1781 
 1781 
 1779 
 1778 
 1777 
 1776 
 1775 
 1774 
 1773 
 1771 
 1771 
 1769 
 1769 
 1767 
 1766 
 1765 
 1764 
 1763 
 1762 
 1761 
 1760 
 1758 
 1758 
 1756 
 1756 
 1754 
 1753 
 1752 
 1752 
 1750 
 1748 
 1748 
 1747 
 1746 
 1745 
 1743 
 1743 
 1741 
 1741 
 1739 
 
 ■2414087 
 •2412283 
 '2410481 
 •2408679 
 •2406879 
 •2405080 
 •2403282 
 
 •2401485 
 •2399689 
 •2397894 
 •2396101 
 •2394308 
 •2392517 
 •2390726 
 •2388937 
 •2387149 
 •2385362 
 ■2383576 
 •2381792 
 ■2380008 
 2378225 
 2376444 
 2374663 
 •2372884 
 ■2371106 
 ■2369329 
 •2367553 
 ■2365778 
 2364004 
 2362231 
 2360460 
 
 2358689 
 2356920 
 2355151 
 2353384 
 2351618 
 2349853 
 2348089 
 2346326 
 2344564 
 2342803 
 2341043 
 2339285 
 2337527 
 2335771 
 2334015 
 2332261 
 2330508 
 2328756 
 2327004 
 2325254 
 2323506 
 2321758 
 2320011 
 2318265 
 2316520 
 2314777 
 2313034 
 2311293 
 2309552 
 2307813 
 
 Dif. Secant 
 
 Verseds. Tang. Dif. 
 
 9-2573136 
 9-2577142 
 9-2581145 
 9-2585147 
 9-2589147 
 9-2593144 
 9-2597140 
 9-2601133 
 9-2605125 
 9-2609114 
 9-2613102 
 9-2617087 
 9-2621071 
 9-2625052 
 9-2629032 
 9-2633009 
 9-2636985 
 9-2640958 
 
 2644929 
 9-2648899 
 9-2652866 
 
 2656832 
 9-2660795 
 9-2664757 
 9-2668716 
 
 9-2672674 
 9-2676629 
 9-2680583 
 2684534 
 9-2688484 
 9-2692431 
 
 9-2696377 
 9-2700321 
 9-2704262 
 9-2708202 
 9-2712140 
 9-2716075 
 
 9-2720009 
 9-2723941 
 9-2727871 
 9-2731799 
 9-2735725 
 9-2739649 
 
 9-2743571 
 9-2747491 
 9-2751409 
 9-2755325 
 9-2759239 
 9-2763151 
 9-2767062 
 9-2770970 
 9-2774876 
 9-2778781 
 9-2782683 
 9-2786584 
 9-2790483 
 9-2794380 
 9-2798274 
 9-2802167 
 9-2806058 
 9-2809947 
 
 -8452268 
 
 -8454956 
 
 •8457644 
 
 -8460332 
 
 -8463018 
 
 -846570. 
 
 -8468390 
 
 -8471075 
 
 -8473760 
 
 -8476444 
 
 •8479127 
 
 •8481810 
 
 -8484492 
 
 -8487174 
 -8489855 
 •8492536 
 -8495216 
 •8497896 
 •8400575 
 
 -8503253 
 •8505931 
 •8508608 
 •8511285 
 •8513961 
 •8516637 
 •8519312 
 •8521987 
 •8524661 
 •8527335 
 •8530008 
 •8532680 
 •8535352 
 •8538023 
 •8540694 
 •9543365 
 •8546034 
 •8548704 
 •8551372 
 ■8554041 
 ■8556708 
 ■8559376 
 •8562042 
 •8564708 
 ■8567374 
 ■8570039 
 •8572704 
 •8575368 
 •8578031 
 •8580694 
 •8583357 
 •8586019 
 •8588680 
 •8591341 
 ■8594002 
 8596661 
 ■8599321 
 ■8601980 
 ■8604638 
 ■8607296 
 ■8609954 
 ■8612610 
 
 2688 
 2688 
 2688 
 2686 
 2687 
 2685 
 2685 
 
 2685 
 2684 
 2683 
 2683 
 2682 
 2682 
 
 2681 
 2681 
 2680 
 2680 
 2679 
 2678 
 2678 
 2677 
 2677 
 2676 
 2676 
 2675 
 2675 
 2674 
 2674 
 2673 
 2672 
 2672 
 2671 
 2671 
 2671 
 2669 
 2670 
 2668 
 2669 
 2667 
 2668 
 2666 
 2666 
 2666 
 2665 
 2665 
 2664 
 2663 
 2663 
 2663 
 2662 
 2661 
 2661 
 2661 
 2659 
 2660 
 
 2659 
 2658 
 2658 
 2658 
 2656 
 
 Cotang. 
 
 10-1547732 
 10-1545044 
 10-1542356 
 10-1539668 
 10-1536982 
 10-1534295 
 10-1531610 
 
 10-1528925 
 10-1526240 
 10-1523556 
 10-1520873 
 10-1518190 
 10-1515508 
 10-1512826 
 10-1510145 
 10-1507464 
 10-1504784 
 10-1502104 
 10-1499425 
 
 10-1496747 
 10-1494069 
 10-1491392 
 10-1488715 
 
 Covers. 
 
 9-6298412 
 9-6295985 
 9-6293557 
 9-6291128 
 9-6288698 
 9-6286267 
 9-6283836 
 9-6281403 
 9-6278970 
 9-6276536 
 9-6274101 
 9-6271665 
 9-6269228 
 9-6266791 
 9-6264352 
 9-6261913 
 9-6259473 
 9-6257031 
 9-6254589 
 
 9-6252147 
 9-6249703 
 9-6247258 
 9-6244813 
 
 10-1486039 9-6242367 
 10-1483363 9-6239919 
 
 10-1480688 9-6237471 
 
 10-1478013 
 10-1475339 
 10-1472665 
 10-1469992 
 10-1467320 
 10-1464648 
 10-1461977 
 10-1459306 
 10-1456635 
 10-1453966 
 10-1451296 
 10-1448628 
 10-1445959 
 10-1443292 
 10-1440624 
 10-1437958 
 10-1435292 
 10-1432626 
 10-1429961 
 10-1427296 
 10-1424632 
 10-1421969 
 10-1419306 
 
 10-1416643 
 10-1413981 
 10-1411320 
 10-1408659 
 10-1405998 
 10-1403339 
 10-1400679 
 10-1398020 
 10-1395362 
 10-1392704 
 10-1390046 
 10-1387390 
 
 Covers. Cotang. Dif. Tang. Verseds. Cosec. D. Sine 
 
 9-6235022 
 9-6232573 
 9-6230122 
 9-6227670 
 9-6225218 
 9-6222765 
 9-6220311 
 9-6217855 
 9-6215400 
 9-6212943 
 9-6210485 
 9-6208026 
 9-6205567 
 9-6203107 
 9-6200645 
 9 6198183 
 9-6195720 
 9-6193256 
 9-6190792 
 9-6188326 
 9-6185860 
 9-6183392 
 9-6180924 
 9-6178455 
 9-6175985 
 9-6173514 
 9-6171042 
 9-6168569 
 9-6166096 
 9-6163621 
 9-6161146 
 9-6158669 
 9-6156192 
 9-6153714 
 9-6151235 
 
 Secant D. Cosine 
 
 10-0866355 
 10-0867240 
 10-0868125 
 10-0369011 
 10-0869898 
 10-0870785 
 10-0871672 
 10-0872560 
 10-0873449 
 10-0874338 
 10-0875228 
 10-0876118 
 10-0877009 
 10-0877901 
 10-0878793 
 10-0879685 
 10-0880578 
 10-0881472 
 10-0882366 
 10-0883261 
 10-0884156. 
 10-0885052 
 10-0885949 
 10-0886845 
 10-0887743 
 10-0888641 
 10-0889540 
 10-0890439 
 10-0891339 
 10-0892239 
 10-0893140 
 10-0894041 
 10-0894943 
 10-0895845 
 10-0896749 
 10-0897652 
 10-0898556 
 10-0899461 
 10-0900366 
 10-0901272 
 10-0902179 
 10-0903085 
 10-0903993 
 10-0904901 
 10-0905810 
 10-0906719 
 10-0907629 
 10-0908539 
 10-0909450 
 10-0910361 
 10-0911273 
 10-0912186 
 10-0913099 
 10-0914012 
 10-0914927 
 10-0915841 
 10-0916757 
 10-0917673 
 10-0918589 
 10-0919506 
 10-0920424 
 
 885 
 885 
 886 
 887 
 887 
 887 
 888 
 889 
 889 
 890 
 890 
 891 
 892 
 
 892 
 892 
 893 
 894 
 894 
 895 
 895 
 896 
 897 
 896 
 898 
 898 
 899 
 899 
 900 
 900 
 901 
 901 
 902 
 902 
 904 
 903 
 904 
 905 
 
 905 
 906 
 907 
 906 
 908 
 908 
 909 
 909 
 910 
 910 
 911 
 911 
 
 912 
 913 
 913 
 913 
 915 
 914 
 916 
 916 
 916 
 917 
 918 
 
 9-913364f) 
 
 9-9132760 
 
 9-913187 
 
 9-9130989 
 
 9-9130102 
 
 9-9129215 
 
 9-9128328 
 
 9-9127440 
 
 9-9126551 
 
 9-9125662 
 
 9-9124772 
 
 !9-9123882 
 
 9-9122991 
 
 9-9122099 
 
 9-9121207 
 
 9-9120315 
 
 9-9119422 
 
 9-9118528 
 
 9-9117634 
 
 9-9116739 
 
 9-9115844 
 
 9-9114948 
 
 9-911405 
 
 9-9113155 
 
 9-9112257 
 
 9-9111359 
 
 9-9110460 
 
 9-9109561 
 
 9-9108661 
 
 9-9107761 
 
 9-9106860 
 
 9-9105959 
 
 9-9105057 
 
 9-9104155 
 
 9-9103251 
 
 9-9102348 
 
 9-9101444 
 
 9-9100539 
 
 9-9099634 
 
 9-9098728 
 
 9-9097821 
 
 9-9096915 
 
 9-9096007 
 
 9-9095099 
 
 9-9094190 
 
 9-9093281 
 
 9-9092371 
 
 9-9091461 
 
 9-9090550 
 
 9-9089639 
 
 9-9088727 
 
 9-9087814 
 
 9-9086901 
 
 9-9085988 
 
 9-9085073 
 
 9-9084159 
 
 9-9083243 
 
 9-9082327 
 
 9-9081411 
 
 9-9080494 
 
 9-9079576 
 
 Deg. 54. 
 
(320) S6 Deg. natural sixes, See, 
 
 Tab. 10. 
 
 5877853 .,„„ 4122147 
 
 Sine Dif. Covers 
 
 1 5880206 
 
 2 5882558 
 
 3 5884910 
 
 4 5887262 
 
 5 5889613 
 
 6 5891964 
 5894314 
 5896663 
 S899012 
 5901361 
 5903709 
 5906057 
 5908404 
 5910750 
 5913096 
 5915442 
 5917787 
 5920132 
 5922476 
 5924819 
 5927163 
 5929505 
 5931847 
 5934189 
 5936530 
 5938871 
 5941211 
 5943550 
 5945889 
 5948228 
 5950566 
 5952904 
 5955241 
 5957577 
 5959913 
 5962249 
 
 5964584 
 5966918 
 5969252 
 5971586 
 5973919 
 
 978583. 
 5980915 
 5983246 
 
 5990236 
 5992565 
 
 2352 
 2352 
 2352 
 2351 
 2351 
 2350 
 2349 
 2349 
 2349 
 2348 
 2348 
 2347 
 2346 
 2346 
 2346 
 2345 
 2345 
 2344 
 2343 
 2344 
 2342 
 2342 
 2342 
 2341 
 2341 
 2340 
 2339 
 2339 
 2339 
 2338 
 2338 
 2337 
 2336 
 2336 
 2336 
 2335 
 2334 
 2334 
 2334 
 2333 
 2332 
 
 5976251233^4023749 
 
 2332 
 2331 
 
 5985577 oooA 4014423 
 5987906 2'33^ 4012094 
 
 2328 
 
 4119794 
 4117442 
 4115090 
 4112738 
 4110387 
 4108036 
 4105686 
 4103337 
 4100988 
 4098639 
 4096291 
 4093943 
 4091596 
 4089250 
 4086904 
 4084558 
 4082213 
 4079868 
 4077524 
 4075181 
 4072837 
 4070495 
 4068153 
 4065811 
 4063470 
 4061129 
 4058789 
 4056450 
 4054111 
 4051772 
 4049434 
 4047096 
 4044759 
 4042423 
 4040087 
 4037751 
 4035416 
 4033082 
 4030748 
 4028414 
 4026081 
 
 4021417 
 4019085 
 4016754 
 
 4007435 
 
 5994893:^:;; 4005 J 07 
 5997221^^;:^ 4002779 
 5999549 ;:';5 4000451 
 6001876^^^^3098124 
 6004202 J5^^j3995798 
 6006528 .^3oJ3993472 
 
 532513991146 
 
 2H24i 
 
 6008854 
 6011179 
 6013503 
 6015827 
 6018150 
 
 Cosine 
 
 Cosec. I Tang. 
 
 2324 
 2323 
 
 Dif. 
 
 3986497 
 39^4173 
 3981850 
 
 Vers. 
 
 1-70 130 16: 
 1-7006208! 
 1 '6999407 
 1 -69926121 
 1-6985825) 
 1-6979044 
 1-6972271 
 1-6965504 
 1-6958744 
 1-6951990 
 1-6945244 
 1-6938504 
 
 6931771 
 1-6925045 
 1-6918326 
 
 6911613 
 1-6904907 
 
 6898208 
 
 6891516 
 1 -6884830 
 
 6878151 
 1 -687 1479 
 1-6864814 
 1-6858155 
 1-6851503 
 1-6844857 
 1-6838219 
 1-6831586 
 1-6824961 
 1-6818342 
 1-6811730 
 1-6805124 
 1-6798525 
 1-6791933 
 1-6785347 
 1-6778768 
 1-6772196 
 1-6765629 
 1-6759070 
 1-6752517 
 1-6745970 
 1-6739430 
 1-6732897 
 1-6726370 
 1-6719850 
 1-6713336 
 1-6706828 
 1-6700328 
 1-6693833 
 1-6687345 
 1-6680864 
 1-6674389 
 1-6667920 
 1-6661458 
 1-6655002 
 1-6648553 
 I •6642 110 
 1-6635673 
 1-6629243 
 1-6622819 
 1-6616401 
 
 7265425 
 7269871 
 7274318 
 727S767 
 7283218 
 7287671 
 7292125 
 7296582 
 7301041 
 7305501 
 7309963 
 7314428 
 7318894 
 7323362 
 7327832 
 7332303 
 7S36777 
 7341253 
 7345730 
 7350210 
 7354691 
 7359174 
 7363660 
 7368147 
 7372636 
 
 7377127 
 7381620 
 7386115 
 7390611 
 7395110 
 7399611 
 7404113 
 7408618 
 7413124 
 7417633 
 7422143 
 7426655 
 7431170 
 7435686 
 7440204 
 7444724 
 7449246 
 
 Cotang. 
 
 1-3763819 
 1-3755403 
 1-3746994 
 
 3738591 
 1-3730195 
 
 3721806 
 1-3713423 
 
 1-3705047 
 3696678 
 1-3688315 
 1-3679959 
 1-3671610 
 1-3663267 
 
 1-3654931 
 1-3646602 
 1-3638279 
 1-3629963 
 1-3621653 
 1-3613350 
 1-3605054 
 1-3596764 
 1-3588481 
 1-3580204 
 1-3571934 
 1-3563670 
 1-3555413 
 1-3547162 
 1-3538918 
 1-3530680 
 1-3522449 
 1-3514224 
 
 1-3506006 
 1-3497794 
 1-3489589 
 1-3481390 
 1-3473198 
 1-3465011 
 1-3456832 
 1-3448658 
 1-3440492 
 1-3432331 
 1-3424177 
 
 Secant Vers. Dif. Cosine ' 
 
 7453770 1-3416029 
 
 7458296 
 7462824 
 7467354 
 7471886 
 7476420 
 7480956 
 7485494 
 7490033 
 7494575 
 7499119 
 7503665 
 7508212 
 7512762 
 7517314 
 7521867 
 7526423 
 7530981 
 7535541 
 
 Secant 
 
 Cotan. 
 
 1-3407888 
 1-3399753 
 1-3391624 
 1 -3383502 
 1-3375386 
 1-3367276 
 1-3359172 
 1-3351075 
 1-3342984 
 1-3334900 
 1-332G822 
 1-3318750 
 1-3310684 
 1-3302624 
 1-3294571 
 1-3286524 
 1-3278483 
 1-3270448 
 
 1-2360680 
 1 -2363293 
 1-2365909 
 1-2368526 
 1-2371146 
 1-2373768 
 1-2376393 
 1-2379019 
 1-2381647 
 1 -2384278 
 1-2386911 
 1-2389546 
 1-2392183 
 1-2394823 
 1-2397464 
 1-2400108 
 1-2402754 
 1-2405402 
 1-2408052 
 1-2410704 
 1-2413359 
 1-2416016 
 1-2418675 
 1-2421336 
 1-2423999 
 
 1-2426665 
 
 1-2429333 
 
 1-2432003 
 
 1-243467 
 
 1-2437349 
 
 1-2440026 
 
 1-2442704 
 
 1-2445385 
 
 1-2448069 
 
 1-2450754 
 
 1-2453442 
 
 1-2456131 
 
 1-2458823 
 
 1-2461518 
 
 1-2464214 
 
 1-2466913 
 
 1-2469614 
 
 1-2472317 
 
 1-2476022 
 
 1 -2477730 
 
 1-2480440 
 
 1-2483152 
 
 1-2485866 
 
 1-2488583 
 
 1-2491302 
 
 1-2494023 
 
 1-2496746 
 
 1-2499471 
 
 1-2502199 
 
 1-2504929 
 
 1-2507661 
 
 1-2510396 
 
 1-2513133 
 
 1-2515872 
 
 1-2518613 
 
 1-2521357 
 
 Tanc^. 
 
 Coscc. 
 
 1909830 
 
 1911540 
 
 1913251 
 
 1914963 
 
 1916675 
 
 1918388 
 
 1920101 
 
 1921815 
 
 1923530 
 
 1925246 
 
 1926962 
 
 1928679 
 
 1930397 
 
 1932115 
 
 1933834 
 
 1935554 
 
 1937274 
 
 1938995 
 
 1940717 
 
 1942440 
 
 1944163 
 
 1945887 
 
 1947611 
 
 1949336 
 
 1951062 
 
 1952789 
 
 1954516 
 
 1956244 
 
 1957972 
 
 1959701 
 
 1961431 
 
 1963162 
 
 1964893 
 
 1966625 
 
 1968358 
 
 197009 
 
 1971825 
 
 1973560 
 
 1975295 
 
 1977031 
 
 1978768 
 
 1980505 
 
 1982244 
 
 1983982 
 
 1985722 
 
 1987462 
 
 1989203 
 
 1990944 
 
 1992686 
 
 1994429 
 
 1996173 
 
 1997917 
 
 1999662 
 
 2001407 
 
 2003153 
 
 2004900 
 
 2006648 
 
 2008396 
 
 2010145 
 
 2011895 
 
 2013645 
 
 1710 
 1711 
 1712 
 1712 
 1713 
 1713 
 1714 
 
 1715 
 1716 
 1716 
 1717 
 1718 
 1718 
 1719 
 1720 
 1720 
 1721 
 1722 
 1723 
 1723 
 1724 
 1724 
 1725 
 1726 
 1727 
 1727 
 1728 
 1728 
 1729 
 1730 
 1731 
 1731 
 1732 
 1733 
 1733 
 1734 
 1735 
 
 1735 
 1736 
 1737 
 1737 
 1739 
 1738 
 1740 
 1740 
 1741 
 1741 
 1742 
 1743 
 1744 
 1744 
 1745 
 1745 
 1746 
 174 
 
 1748 
 1748 
 1749 
 1750 
 1750 
 
 Covers 
 
 Dii; 
 
 8090170 
 8088460 
 8086749 
 8085037 
 8083325 
 8081612 
 8079899 
 
 8078185 
 8076470 
 8074754 
 8073038 
 8071321 
 8069603 
 8067885 
 8066166 
 8054446 
 8062726 
 80S 1 005 
 8059283 
 8057560 
 8055837 
 8054113 
 8052389 
 8050664 
 8048938 
 8047211 
 8045484 
 8043756 
 8042028 
 8040299 
 8038569 
 
 8036838 
 8035107 
 8033375 
 8031642 
 8029909 
 8028175 
 8026440 
 802470." 
 8022969 
 8021232 
 8019495 
 8017756 
 
 8016018 
 8014278 
 8012538 
 8010797 
 8009056 
 8007314 
 
 8005571 
 8003827 
 8002083 
 8000338 
 7998593 
 7996847 
 7995100 
 7993352 
 7991604 
 7989855 
 7988105 
 7986355 
 
 Sine 
 
 DecT. 53, 
 
S6 Dc5i. 
 
 LOG. SINES, Sec. 
 
 (321) 
 
 Sine Dif. Cosec. Versed 
 
 9-76"92187 
 9-76'93925 
 9-76-956'62 
 9769739H 
 9-76-99134 
 9-7700868 
 9-7 70260 
 9-7704332 
 9-7706063 
 9-7707793 
 9-770952 
 9-7711249 
 9-7712976 
 9-7714702 
 9-7716426 
 7718150 
 9-7719872 
 9-7721593 
 9-7723314 
 9-7725033 
 726751 
 9-7728468 
 9-7730185 
 9-7731900 
 9-7733614 
 
 9-7735327 
 9-7737039 
 9-7738749 
 9-7740459 
 9-7742168 
 9-7743876 
 9-7745583 
 9-7747288 
 9-7748993 
 9-7750697 
 9-7752399 
 9-7754101 
 9-7755801 
 9-7757601 
 9-7759199 
 9-7760897 
 9-7762593 
 9-7764289 
 9-7765983 
 9-7767676 
 9-7769369 
 9-7771060 
 9-7772750 
 9-7774439 
 9-7776128 
 9-7777815 
 9-7779501 
 9-7781186 
 9-7782870 
 9-7784553 
 9-7786235 
 7787916 
 9-7789596 
 9-7791275 
 9-7792953 
 9-7794630 
 
 Cosine Dit. 
 
 1738 
 1 737 
 1736 
 1736 
 1734 
 1733 
 1731 
 1731 
 1730 
 1729 
 1727 
 1727 
 1726 
 
 1724 
 1724 
 1722 
 1721 
 1721 
 1719 
 1718 
 1717 
 1717 
 1715 
 1714 
 1713 
 1712 
 1710 
 1710 
 1709 
 1708 
 1707 
 1705 
 1705 
 1704 
 1702 
 1702 
 1700 
 1700 
 1698 
 1698 
 1696 
 1696 
 1694 
 1693 
 1693 
 1691 
 1690 
 1689 
 168i9 
 
 1687 
 1^86 
 1685 
 1684 
 1683 
 1682 
 1681 
 1680 
 1679 
 1678 
 1677 
 
 10-2307813 
 
 10-2306076 
 
 10-2304338 
 
 10-2302602 
 
 10-2300866 
 
 10-2299132J9 
 
 10-2297399 
 
 10-2295668 
 
 10-2293937 
 
 10-2292207 
 
 10-2290478 
 
 10-2288751 
 
 10-2287024 
 
 10-2285298 
 10-2283574 
 10-2281850 
 10-2280128 
 10-2278407 
 10-2276686 
 
 10-2274967 
 10-2273249 
 10-2271532 
 10-2269815 
 10-2268100 
 10-2266386 
 10-2264673 
 10-2262961 
 10-2261251 
 10-2259541 
 [0-2257832 
 10-2256124 
 
 10-2254417 
 10-2252712 
 10-2251007 
 10-2249303 
 10-2247601 
 10-2245899 
 10-2244199 
 10-2242499 
 10-2240801 
 10-2239103 
 0-2237407 
 10-2235711 
 10-2234017 
 10-2232324 
 10-2230631 
 10/2228940 
 10-2227250 
 10-2225561 
 10-2223872 
 10-2222185 
 10-2220499 
 10-2218814 
 10-2217130 
 10-2215447 
 10-2213765 
 10-2212084 
 10-2210404 
 10-2208725 
 10-2207047 
 10-2205370 
 
 ■2809947 
 2813834 
 2817720 
 ■2821603 
 2825484 
 2829364 
 2833241 
 
 2837117 
 2840990 
 2844862 
 2848732 
 2852600 
 -2856466 
 •2860330 
 -2864192 
 -2868053 
 -2871911 
 ■2875768 
 -2879622 
 
 •2883475 
 
 -2887326 
 
 ■2891175 
 
 •2895022 
 
 -2898867 
 
 ■2902711 
 
 ■2906552 
 
 •2910392 
 
 •2914229 
 
 •2918065 
 
 •2921899 
 
 •2925731 
 
 ■2929561 
 
 -2933390 9 
 
 ■29372 I6j9 
 
 •2941041 9 
 
 ■29448639 
 
 ■2948684j9 
 
 ■29525039 
 
 ■2956320|9 
 
 ■2960136 9 
 
 ■2963949 9 
 
 •2967760 9 
 
 •2971570 9 
 
 -2975378 9 
 
 -2979184 9 
 
 •2982988 
 
 -2986790 
 
 -2990591 
 
 -2994389 
 
 •2998186 
 
 •3001981 
 
 -3005774 
 
 •3009565 
 
 -3013355 
 
 -3017142 
 
 -3020928 
 
 -3024712 
 
 -3028494 
 
 •3032274 
 
 •3036052 
 
 •3039829 
 
 Tano\ Dif. 
 
 Secant Covers. Cotans:. Dif. 
 
 •8612610 
 •8615267 
 •8617923 
 •8620578 
 •8623233 
 •8625887 
 •8628541 
 •8631195 
 •8633848 
 •8636500 
 ■8639152 
 ■864180,: 
 ■8644454 
 ■8647105 
 ■8649755 
 ■8652404 
 ■8655053 
 8657702 
 ■8660350 
 
 2662997 
 8665644 
 8668291 
 8670937 
 ■8673583 
 8676228 
 8678873 
 8681517 
 ■8684160 
 8686804 
 8689446 
 8692089 
 8694731 
 8697372 
 •8700013 
 -8702653 
 -8705293 
 -8707933 
 -8710572 
 ■8718210 
 -8715848 
 -8718486 
 -8721123 
 -8723760 
 -8726396 
 •8729032 
 ■8731668 
 ■8734302 
 ■8736937 
 8739571 
 8742204 
 ■8744838 
 ■8747470 
 8750102 
 ■8752734 
 ■8755366 
 ■E757996 
 ■8760627 
 ■8763257 
 ■8765886 
 ■8768515 
 •8771144 
 
 2657 
 
 2656 
 
 265 
 
 265 
 
 2654 
 
 2654 
 
 2654 
 
 2653 
 2652 
 2652 
 2651 
 2651 
 2651 
 2650 
 2649 
 2649 
 2649 
 2648 
 2647 
 2647 
 2647 
 2646 
 2646 
 2645 
 2645 
 2644 
 2643 
 2644 
 2642 
 2643 
 2642 
 2641 
 2641 
 2640 
 2640 
 2640 
 2639 
 2638 
 2638 
 2638 
 2637 
 2637 
 2636 
 2636 
 2636 
 2634 
 2635 
 2634 
 2633 
 2634 
 2632 
 2632 
 2632 
 2631 
 2631 
 2631 
 2630 
 2629 
 2629 
 2629 
 
 Cotaug. I Covers. 
 
 10-1387390 
 10-1384733 
 10-1382077 
 10-1379422 
 10-1376767 
 10-1374113 
 10-1371459 
 
 10-1368805 
 10-1366152 
 10-1363500 
 10-1360848 
 10-1358197 
 10-1355546 
 10-135289.^ 
 10-1350245 
 10-1347596 
 10-1344947 
 10-1342298 
 10-1339650 
 10-1337003 
 10- 1334356 
 10-1331709 
 10-1329063 
 10-1326417 
 10-1323772 
 
 10-1321127 
 10-1318483 
 10-1315840 
 10-1313196 
 10-1310554 
 10-1307911 
 10-1305269 
 10-1302628 
 10-1299987 
 10-1297347 
 10-1294707 
 10-1292067 
 10-1289428 
 10-1286790 
 10-1284152 
 10-1281514 
 10-1278877 
 10-1276240 
 10-1273604 
 10-1270968 
 10-1268332 
 10-1265698 
 10-1263063 
 10-1260429 
 10-1257796 
 10-1255162 
 10-1252530 
 10-1249898 
 10-1247266 
 10-1244635 
 10-1242004 
 10-1239373 
 10-1236743 
 10-1234114 
 10-1231485 
 10-1228856 
 
 9-6151235 
 9-6148755 
 9-6146275 
 9-6143793 
 9-6141311 
 9-6138827 
 9-6136343 
 9-6133858 
 9-6131372 
 9-6128885 
 9 6126397 
 9-6123908 
 9-6121418 
 9-6118928 
 9-6116436 
 9-6113944 
 9-6111451 
 9-6108956 
 9-6106461 
 9-6103965 
 9-6101469 
 9-6098971 
 9-6096472 
 9-6093972 
 9-6091472 
 9-6088971 
 9-6086468 
 9-6083965 
 9-6081461 
 9-6078956 
 6076450 
 9-6073943 
 9-6071436 
 9-6068927 
 9-6066417 
 9-6063907 
 9-6061396 
 9-6058883 
 9-6056370 
 9-6053856 
 9-6051341 
 9-6048825 
 9-6046308 
 9-6043791 
 9-6041272 
 9-6038752 
 9-6036232 
 9-6033710 
 9-6031188 
 9-6028665 
 9-6026141 
 9-6023616 
 9-6021090 
 9-6018563 
 9-6016035 
 9-6013506 
 9 6010977 
 9-6008446 
 9-6005914 
 9-6003382 
 9-6000849 
 
 Tani^. 
 
 Verseds 
 
 Secant ID. Cosine 
 
 10-0920424 
 10-0921342 
 10-0922260 
 10-0923180 
 10-0924099 
 10-0925020 
 10-0925941 
 10-0926862 
 10-0927784 
 10-0928707 
 10-0929630 
 10-0930554 
 10-0931478 
 
 10-0932403 
 10-0933329 
 10-0934255 
 10-0935181 
 10-0936108 
 10-0937036 
 10-0937964 
 10-0938893 
 10-0939823 
 10-0940753 
 10-0941683 
 10-0942614 
 
 10-0943546 
 10-0944478 
 10-0945411 
 10 0946344 
 0-0947278 
 10-0948213 
 10-0949148 
 10-0950084 
 10-0951020 
 10-0951957 
 10-0952894 
 10-0953832 
 
 18 
 18 
 920 
 19 
 921 
 921 
 921 
 922 
 923 
 923 
 924 
 924 
 925 
 926 
 926 
 926 
 927 
 928 
 928 
 929 
 930 
 
 10-0954770 
 10-0955709 
 10-0956649 
 10-0957589 
 10-0958530 
 10-0959471 
 10-0960413 
 10-0961356 
 10-0962299 
 10-0963243 
 10-0964187 
 10-0965132 
 
 10-0966077 
 10-0967023 
 10-0967969 
 10-0968916 
 10-0969864 
 10-0970812 
 10-0971761 
 10-0972711 
 10-0973661 
 10-097461 I 
 10-0975562 
 10-0976514 
 
 Cosec. 
 
 9-9079576 
 9-9078658 
 9-9077740 
 9-9076820 
 9-9075901 
 9-9074980 
 9-9074059 
 9-9073138 
 9-9072216 
 9-9071293 
 9-9070370 
 9-9069446 
 9-9068522 
 
 9-9067597 
 9-9066671 
 9-9065745 
 9-9064819 
 9-9063892 
 9-9062964 
 9-9062036 
 9-9061107 
 9-9060177 
 l^Z 9-9059247 
 ^:^V 9-9058317 
 9-9057386 
 9-90564 
 9-9055522 
 9-9054589 
 9-9053656 
 9-9052722 
 9-9051787 
 9-9050852 
 9-9049916 
 9-9048980 
 9-9048043 
 9-9047106 
 9-9046168 
 9-9045230 
 9-9044291 
 9-9043351 
 9-90424 1 1 
 9-9041470 
 9-9040529 
 
 9-9039587 
 
 9-9038644 
 
 9-9037701 
 
 9-9036757 
 
 9-9035813 
 
 9-9034868 
 
 9-9033923 
 
 ^9-9032977 
 
 ^9-9032031 
 
 9-9031084 
 
 9030130 
 
 9-9029 18e 
 
 9-9028239 
 
 931 
 932 
 932 
 933 
 933 
 934 
 935 
 935 
 936 
 936 
 937 
 937 
 938 
 938 
 939 
 940 
 940 
 941 
 941 
 942 
 943 
 943 
 944 
 944 
 945 
 945 
 946 
 946 
 947 
 948 
 948 
 949 
 
 950 
 
 ^"|9-9027289 
 ^J^i9-9026339 
 ^J9-9025389 
 '^'j9-9024438 
 9-9023486 
 
 D.i Sine 
 
 3 T 
 
 Deg 
 
(3'2Q) 37 Deg. natural sines, &c. 
 
 Tab. 10. 
 
 ' Sine Dif. Covers Cosec. Tang. 
 
 b'OlBloO 
 6*020473 
 6'02279o 
 6*0251 17 
 602743!) 
 6029760 
 6032080 
 6034400 
 6036719 
 6039038 
 6041356 
 6043674 
 6045991 
 6048308 
 6050624 
 6052940 
 6055255 
 6057570 
 6059884 
 6062198 
 6064511 
 6066824 
 6069136 
 6071447 
 6073758 
 6076069 
 6078379 
 6080689 
 6082998 
 6085306 
 6087614 
 6089922 
 6092229 
 6094535 
 6096841 
 6099147 
 6101452 
 6103756 
 6106060 
 6108363 
 6110666 
 6112969 
 6115270 
 6117572 
 6119873 
 6122173 
 6124473 
 6126772 
 6129071 
 6131369 
 6133666 
 6135964 
 6138260 
 6140556 
 6142852 
 
 6145147 
 6147442 
 6149736 
 6152029 
 6154322 
 6156615 
 
 2321 
 2320 
 2320 
 2319 
 2319 
 
 39§0962 
 ^.^3958644 
 
 Cosine Dif. 
 
 J323 
 J322 
 
 3981850 
 3979527 
 3977205 
 
 :^3974SS 
 '^-^3972561 
 3970240 
 3967520 
 3965600 
 3963281 
 
 2318 
 2317 
 2317 
 2316 
 2316 
 2315 
 ;315 
 2314 
 2314 
 2313 
 2313 
 2312 
 2311 
 2311 
 2311 
 2310 
 2310 
 2309 
 2308 
 2308 
 2308 
 2307 
 2306 
 2306 
 2306 
 2305 
 2304 
 2304 
 2303 
 2303 
 2303 
 2301 
 2302 
 2301 
 2300 
 2300 
 2299 
 2299 
 2298 
 
 2297 
 2298 
 2296 
 2296 
 2296 
 2295 
 2295 
 2294 
 2293 
 2293 
 2293 
 
 3956326 
 3954009 
 
 3951692 
 3949376 
 3947060 
 3944745 
 3942430 
 3940116 
 3937802 
 3935489 
 3933176 
 3930864 
 3928553 
 3926242 
 
 3923931 
 3921621 
 3919311 
 3917002 
 3914694 
 3912386 
 3910078 
 3907771 
 '.3905465 
 3903159 
 3900853 
 ja898548 
 3896244 
 3893940 
 1637 
 3889334 
 3887031 
 3884730 
 3882428 
 3880127 
 3877827 
 3875527 
 3873228 
 3870929 
 3868631 
 38663^4 
 3864036 
 3861740 
 3859444 
 3857148 
 3854853 
 3852558| 
 3850264! 
 3847971 
 3845678 
 3843385 
 
 6616401 
 6609990 
 6603586 
 6597187 
 6590795 
 6584409 
 6578030 
 
 6571657 
 6565290 
 6558929 
 655*2575 
 6546227 
 6539885 
 6533550 
 6527221 
 6520898 
 6514581 
 6508270 
 6501966 
 6495668 
 6489376 
 6483090 
 6476811 
 6470537 
 6464270 
 6458009 
 6451754 
 6445506 
 6439263 
 6433027 
 6426796 
 6420572 
 6414354 
 6408142 
 6401936 
 6395736 
 6389542 
 6383355 
 6377173 
 6370997 
 6364828 
 6358664 
 6352507 
 6346355 
 6340210 
 6334070 
 6327937 
 6321809 
 6315688 
 6309572 
 6303462 
 6297359 
 6291261 
 6285169 
 6279083 
 6273003 
 6266929 
 6260861 
 6254799 
 6248743 
 C242692 
 
 Vers. I Secant 
 
 7535541 
 7540102 
 7544666 
 7549232 
 7553799 
 7558369 
 7562941 
 7567514 
 7572090 
 757666Q 
 7581248 
 7585829 
 7590413 
 7594999 
 7599587 
 7604177 
 7608769 
 7613363 
 7617959 
 7622557 
 7627157 
 7631759 
 7636363 
 7640969 
 7645577 
 7650188 
 7654800 
 7659414 
 7664031 
 7668649 
 7673270 
 7677893 
 7682517 
 7687144 
 7691773 
 7696404 
 7701037 
 7705672 
 7710309 
 7714948 
 7719589 
 7724233 
 7728878 
 7733526 
 7738176 
 7742827 
 7747481 
 7752137 
 7756795 
 7761455 
 7766118 
 7770782 
 7775448 
 7780117 
 7784788 
 7789460 
 7794135 
 7798812 
 7803492 
 7808173 
 7812856 
 
 Cotang. 
 
 Cotan. 
 
 3270448 
 3262420 
 3254397 
 3246381 
 3238371 
 3230368 
 3222370 
 
 3214379 
 3206393 
 3198414 
 3190441 
 3182474 
 3174513 
 3166559 
 3158610 
 3150668 
 3142731 
 3134801 
 3126876 
 3118958 
 3111046 
 3103140 
 3095239 
 30?7345 
 3079457 
 3071575 
 3063699 
 3055828 
 3047964 
 3040106 
 3032254 
 3024407 
 3016667 
 3008733 
 3000904 
 2993081 
 2985265 
 2977454 
 2969649 
 2961850 
 2954057 
 2946270 
 2938488 
 2930713 
 2922943 
 2915179 
 2907421 
 2899669 
 2891922 
 2884182 
 2876447 
 2868718 
 2860995 
 2853277 
 2845566 
 
 2837860 
 2830160 
 2822465 
 2814776 
 2807094 
 2799416 
 
 Tang. 
 
 Secant Vers. Dif. Cosine 
 
 1-2521357 
 
 1-2524102 
 
 1-2526850 
 
 1-2529601 
 
 1-2532353 
 
 1-2535108 
 
 1-2537865 
 
 1-254062 
 
 1-2543387 
 
 1-25461 
 
 1-2548917 
 
 1-2551685 
 
 1 -2554456 
 
 1-2557229 
 
 1-2560005 
 
 1-2562782 
 
 1-2565562 
 
 1-2568345 
 
 1-2571129 
 
 1-2573916 
 
 1-2576705 
 
 1-2579497 
 
 1-2582291 
 
 1-2585087 
 
 1-2587885 
 
 1-2590686 
 
 1-2593489 
 
 1-2596294 
 
 1-2599102 
 
 1-2601912 
 
 1-2604724 
 
 1-2607539 
 
 i-2610356 
 
 1-2613175 
 
 1-2615997 
 
 1-2618820 
 
 1^2621647 
 
 1-2G24475 
 
 1-2627306 
 
 1-2630140 
 
 1-2632975 
 
 1-2635813 
 
 1-2638653 
 
 1-2641496 
 
 1-2644341 
 
 1-2647188 
 
 1-2650038 
 
 1-2652890 
 
 1-2&55745 
 
 1-2658601 
 
 1-2661460 
 
 1-2664322 
 
 1-2667186 
 
 1-2670052 
 
 1-2672921 
 
 1-2675792 
 
 1-2678665 
 
 1-2681541 
 
 1-2684419 
 
 1-2687299 
 
 1-2690182 
 
 Cosec. Covers 
 
 2013645 
 2015396 
 2017147 
 2018900 
 2020653 
 2022406 
 2024161 
 2025916 
 2027671 
 2029428 
 2031185 
 2032942 
 2034701 
 
 2036460 
 2038220 
 2039980 
 204174! 
 2043503 
 2045265 
 2047028 
 2048792 
 2050556 
 2052322 
 2054087 
 2055854 
 2057621 
 2059389 
 2061157 
 2062926 
 2064696 
 2066467 
 2068238 
 2070010 
 2071782 
 2073555 
 2075329 
 2077104 
 
 2078879 
 2080655 
 2082431 
 2084208 
 2085986 
 2087765 
 2089544 
 2091324 
 2093104 
 2094885 
 2096667 
 2098450 
 2100233 
 2102017 
 2103802 
 2105587 
 2107373 
 2109159 
 2110946 
 2112734 
 2114523 
 2116312 
 2118102 
 2119892 
 
 1751 
 1751 
 
 1753 
 1753 
 1753 
 1755 
 1755 
 
 7986355 
 7984604 
 7982853 
 7981100 
 7979347 
 7977594 
 7975839 
 7974084 
 7972329 
 7970572 
 7968815 
 7967058 
 7965299 
 7963540 
 7961780 
 7960020 
 7958259 
 
 1781 
 
 1757 
 1757 
 1757 
 1759 
 1759 
 1760 
 1760 
 1761 
 
 [5^^7956497 
 
 \lf,7954735 
 7952972 
 ;^^ 7951208 
 ;°^ 7949444 
 ;^° 7947678 
 ;^^ 7945913 
 
 1^^^7944146 
 7942379 
 ;°^ 7940611 
 J«« 7938843 
 1^^7937074 
 11,7935304 
 
 J^^J 7933533 
 7931762 
 ,i 7929990 
 ;;2 7928218 
 ;;^ 7926445 
 ,;: 7924671 
 
 177o 7922896 
 
 ;;^ 7919345 
 
 ;;^ 7917569 
 
 ^5^7915792 
 
 ;;„ 7914014 
 
 ^79 7912235 
 
 ,^^ 7910456 
 
 I^V 7906896 
 
 7905115 
 
 J 5^^' 7903333 
 583|7901550 
 
 ioj7897983 
 ;^^i7896l98 
 ;2^i7894413^ 
 tS^'7892627 
 |'g^i7890841 
 
 17889054 
 
 I„„i7887266 
 
 ;^«g^l78854; 
 
 1790 
 1790 
 
 7883688 
 7881898 
 7880108 
 
 60 
 59 
 5B 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 47 
 16 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 
 19 
 
 18 
 
 17 
 
 16 
 
 15 
 
 14 
 
 13 
 
 12 
 
 1 
 
 10 
 
 9 
 ■8? 
 
 71 
 
 6 
 
 si 
 
 21 
 
 Dif. SmcL 
 
 Deg. 5% 
 
m. 
 
 ?7 Deer. 
 
 LOG. SINES, &C. 
 
 (3f23) 
 
 Sine 
 
 7 
 
 8 
 
 9 
 10 
 11 
 12 
 13 
 14 
 15 
 16 
 17 
 18 
 19 
 20 
 21 
 22 
 23 
 24 
 25 
 26 
 27 
 28 
 2,9 
 30 
 31 
 32 
 33 
 34 
 35 
 36 
 37 
 38 
 39 
 40 
 41 
 42 
 43 
 44 
 45 
 46 
 47 
 48 
 49 
 50 
 61 
 52 
 53 
 54 
 55 
 56 
 57 
 58 
 59 
 60 
 
 7794630 
 7796306 
 779/981 
 7799655 
 7805 328 
 7803000 
 7804671 
 7806341 
 7808010 
 7809677 
 7811344 
 7813010 
 7814675 
 7816339 
 7818002 
 7819664 
 7821324 
 7822984 
 7824643 
 7826301 
 7827958 
 7829614 
 7831268 
 7832922 
 7834575 
 
 7836227 
 7837878 
 7839528 
 7841177 
 7842824 
 7844471 
 7846117 
 7847762 
 7849406 
 7851049 
 7852691 
 7854332 
 
 7855972 
 7857611 
 7859249 
 7860886 
 ■7862522 
 7864157 
 ■7865791 
 •7867424 
 •7869036 
 •7870687 
 •7872317 
 •7873946 
 ■7876574 
 •7877202 
 •7878828 
 •7880453 
 •7882077 
 •7883701 
 •7885323 
 •7886944 
 •7888565 
 •7890184 
 •7891802 
 •7893420 
 
 Dif.l Cosec. IVerseds. 
 
 1676 
 1675 
 1 674 
 1673 
 1672 
 1671 
 1670 
 1669 
 1667 
 1667 
 1666 
 1665 
 1664 
 1663 
 1662 
 1660 
 1660 
 1659 
 1658 
 
 1657 
 1656 
 1654 
 1654 
 165"3 
 1652 
 1651 
 1650 
 1649 
 1647 
 1647 
 1646 
 1645 
 1644 
 1643 
 1642 
 1641 
 1640 
 1639 
 1638 
 1637 
 1636 
 1635 
 1634 
 1633 
 1632 
 1631 
 1630 
 1629 
 1628 
 1628 
 1626 
 1625 
 1624 
 1624 
 1622 
 1621 
 1621 
 1619 
 1618 
 1618 
 
 ; 10-2205370 
 10-2203694 
 10-2202019 
 1 0^2200345 
 10-2198672 
 0-2197000 
 10-2195329 
 10-2193659 
 10-2191990 
 10-2190323 
 10^2188656 
 10-2186990 
 10-2185325 
 10-2183661 
 10-2181998 
 10-2180336 
 10-2178676 
 10-2177016 
 10-2175357 
 10-2173699 
 10-2172042 
 10-2170386 
 10-2168732 
 10-2167078 
 10-2165425 
 10^2 1637 73 
 10-2162122 
 10^2160472 
 1 0^2 158823 
 10^2157176 
 10-2155529 
 10-2153883 
 10-2152238 
 10-2150594 
 10-2148951 
 10-2147309 
 10-2145668 
 10-2144028 
 10^2142389 
 10^2140761 
 10^2139114 
 10^2137478 
 10-2135843 
 10-2134209 
 10-2132576 
 10^2130944 
 10^2 1293 13 
 10-2127683 
 10-2126054 
 10-2124426 
 10-2122798 
 10^2121172 
 10^2119547 
 10^21 17923 
 10^21 16299 
 
 10^2114677 
 10^2113056 
 10^21 11435 
 10^2 1098 16 
 10^2108198 
 10-2106580 
 
 9-3039829 
 9-3043604 
 9-3047376 
 9-3051143 
 9-3054917 
 9-3058684 
 9-3062450 
 9-3066214 
 9-3069976 
 9-3073736 
 9-3077494 
 9-3081251 
 9-3085006 
 
 9-3088759 
 9-3092510 
 9-3096259 
 9-3100007 
 9-3103752 
 
 Tang. 
 
 9-8771144 
 9-8773772 
 9-8776400 
 9-8779027 
 9-8781654 
 9-8784281 
 9-8786907 
 9-8789533 
 9-8792158 
 9-8794782 
 9-8797407 
 9-8800031 
 9-8802654 
 9^8805277 
 9-8807900 
 9-8810522 
 9-8813144 
 9-8815765 
 
 9-31 0749619-88 18386 
 9-3111238L9-8821007 
 9-3114979i9-8823627 
 9-3118717I9-8826246 
 9-3122454 9-8828866 
 9-3126189 9-8831484 
 9-3 129922:9-8834 103 
 3133654 9-8836721 
 
 9-3137383 
 9-3141111 
 9-3144837 
 9-3148561 
 9-3152284 
 9-3156005 
 9-3159724 
 9-3163441 
 9-3167156 
 9-3170870 
 9-3174582 
 9-3178292 
 9-3182000 
 9-3185706 
 9-3189411 
 
 3193114 
 
 3196815 
 9-3200515 
 9-3204213 
 9-3207909 
 9-3211603 
 9-3215295 
 9-3218986 
 9-3222675 
 9-3226362 
 9-3230048 
 9-3233731 
 
 3237413 
 9-3241094 
 9-3244772 
 
 3248449 
 9-3252124 
 9-3255797 
 9-3259469 
 9-3263138 
 
 m9_ 
 
 9-8839338 
 9-8841956 
 9-8844572 
 9-8847189 
 9-8849805 
 9^8852420 
 9^8855035 
 9^8857650 
 9^8860264 
 9-886287 
 9-8865492 
 9-8868105 
 9-8870718 
 9-8873330 
 9-8875942 
 9-8878554 
 888116 
 
 9-888377 
 9-8886386 
 9-8888996 
 9-889160, 
 9-8894214 
 9-8896823 
 9-8899432 
 9-8902040 
 9-8904647 
 9-8907254 
 9^8909861 
 9-8912468 
 9-8915074 
 9-8917679 
 9-8920285 
 9-8922890 
 9-8925494 
 8928098 
 
 Dif. 
 
 Cotang. 
 
 2628 
 2628 
 2627 
 2627 
 2627 
 2626 
 2626 
 
 2625 
 
 2624 
 
 2625 
 
 2624 
 
 2623 
 
 2623 
 
 2623 
 
 2622 
 
 2622 
 
 2621 
 
 2621 
 
 2621 
 
 2620 
 
 2619 
 
 2620 
 
 2618 
 
 2619 
 
 2618 
 
 2617 
 
 2618 
 
 2616 
 
 2617 
 
 2616 
 
 2615 
 
 2615 
 
 2615 
 
 2614 
 
 2614 
 
 2614 
 
 2613 
 
 2613 
 
 2612 
 
 2612 
 
 2612 
 
 2611 
 
 2610 
 
 261 
 
 2610 
 
 2609 
 
 2609 
 
 2609 
 
 2609 
 
 2608 
 
 2607 
 
 2607 
 
 2607 
 
 2607 
 
 2606 
 
 2605 
 
 2606 
 
 2605 
 
 2604 
 
 2604 
 
 10-1228856 
 lO^l 226228 
 10^1223600 
 10^1220973 
 10-1218346 
 10-1215719 
 10-1213093 
 
 10-1210467 
 10-1207842 
 10-1205218 
 10-1202593 
 10-1199969 
 10-1197346 
 10^1194723 
 I0^n92100 
 10^1189478 
 10^1 186856 
 10^1 184235 
 10-1181614 
 10^1 178993 
 10-1176373 
 10^1173754 
 10^1 171 134 
 10-1168516 
 10-1165897 
 10-1163279 
 10-1160662 
 10-1158044 
 10-1165428 
 10-1152811 
 10-1150195 
 10-1147580 
 10-1144965 
 10-1142350 
 10-1139736 
 10-1137122 
 10-1134508 
 10-1131895 
 10-1129282 
 10-1126670 
 10-1124058 
 10-1121446 
 10-1118835 
 10-1116225 
 10-1113614 
 10-1111004 
 10-1108395 
 10-1105786 
 10-1103177 
 10-1100568 
 10^1097960 
 10^1 095353 
 10-1092746 
 10-1090139 
 10-1087532 
 
 10-1084926 
 10-1082321 
 10-1079715 
 10-1077110 
 10-1074506 
 10-107190 
 
 Covers. 
 
 9-6000849 
 9-5998314 
 9-5995779 
 9-5993243 
 9-5990706 
 9-5988168 
 9-5985629 
 9-5983089 
 9-5980549 
 9-5978007 
 9-5975464 
 9-5972921 
 9-5970376 
 
 9-5967831 
 9-5965285 
 9-5962737 
 9-5960189 
 9-5957640 
 9-5955090 
 9-5952539 
 9-5949987 
 9-5947434 
 9-5944881 
 9-5942326 
 9-5939770 
 9-5937214 
 9-5934656 
 9-5932098 
 9-5929538 
 9-5926978 
 9-5924417 
 9-5921854 
 9-5919291 
 9-6916727 
 9-5914162 
 9-5911596 
 9-5909029 
 9-5906461 
 9-5903893 
 9-5901323 
 9-5898752 
 9-5896181 
 9-5893608 
 9-5^91034 
 9-5888460 
 9-5885886 
 
 5883308 
 9-5880731 
 9-5878153 
 9-5875573 
 9-5872993 
 9-5870412 
 
 5867830 
 9-5865247 
 9-5862663 
 9-5860078 
 9-5857492 
 9-5854905 
 9-5852318 
 9-5849729 
 
 Secant 
 
 D. f Cosine I ' \ 
 
 952 
 953 
 953 
 954 
 955 
 956 
 956 
 956 
 957 
 957 
 958 
 959 
 959 
 960 
 960 
 961 
 962 
 962 
 963 
 963 
 964 
 
 0-0976514 
 0-0977466 
 10-0978419 
 10-0979372 
 1 0-0980326 
 IO-098128J 
 10-0982236 
 10-0983192 
 10-0984148 
 10-0985105 
 1 0-0986062 
 10-0987020 
 10-0987979 
 10-0988938 
 10-0989898 
 0-0990858 
 10-0991819 
 10-0992781 
 10-0993743 
 10-0994706 
 10-0995669 
 10-0996633 ,, 
 10-0997597 ':^^ 
 10-0998562 
 10-0999528 
 10-1000494 
 10-1001461 
 10-1002428 
 10-1003396 
 10^1004364 
 10^1 005333 
 10-1006303 
 10-1007273 
 10-1008244 
 10-1009216 
 10-1010188 
 10-1011160 
 10-1012133 
 10-1013107 
 10-1014081 
 10-1015056 
 10-1016032 
 10-1017008 
 10^1017985 
 10-1018962 
 10^1019940 
 10-1020918 
 10-1021897 
 10-1022877 
 10-1023857 
 10-1024838 
 10^10258i9 
 10-102680 
 10-1027784 
 10-1028767 
 10-1029751 
 10-1030735 
 10-1031720 
 10-1032706 
 10-1033692 
 
 9-9023486 
 
 9-9022534 
 
 9-9021581 
 
 9-9020628 
 
 9-9019674 
 
 9-9018719|65 
 
 9-901776464 
 
 9-901680853 
 
 9-5847139 10-1034679 
 
 965 
 
 966 
 
 966 
 
 967 
 
 967 
 
 968 
 
 968 
 
 969 
 
 970 
 
 970 
 
 971 
 
 972 
 
 972 
 
 972 
 
 973 
 
 974 
 
 974 
 
 975 
 
 976 
 
 976 
 
 977 
 
 977 
 
 978 
 
 978 
 
 979 
 
 980 
 
 980 
 
 981 
 
 981 
 
 982 
 
 983 
 
 983 
 
 984 
 
 984 
 
 985 
 
 986 
 
 986 
 
 987 
 
 9-9015852 
 9-9014895 
 9-9013938 
 9-9012980 
 9-9012021 
 9-9011062 
 9-9010102 
 9-9009142 
 9-9008181 
 9007219 
 9-9006257 
 9-9005294 
 9-9004331 
 9-9003367 
 9-9002403 
 9-9001438 
 9-9000472 
 
 9-8999506 
 9-8998539 
 9-8997572 
 9-8996604 
 9-8995636 
 9-8994667 
 9-8993697 
 9-8992727 
 9-8991756 
 9-8990784 
 9-8989812 
 9-8988840 
 
 9-8987867 
 9-8986893 
 9-8985919 
 9-8984944 
 9-8983968 
 9-8982992 
 
 9-898201 
 9-8981038 
 9-8980060 
 9-8979082 
 9-8978103 
 9-8977123 
 9-8976143 
 9-8975162 
 9-8974181 
 9-8973199 
 9-8972216 
 9-8971233 
 9-8970249 
 9-8969265 
 8968280 
 9-8967294 
 9-8966308 
 9-8965321 
 
 52 
 51 
 50 
 49 
 48 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 36 
 
 35 
 34 
 33 
 32 
 31 
 30 
 29 
 28 
 27 
 26 
 25 
 24 
 23 
 22 
 21 
 20 
 19 
 18 
 
 17 
 16 
 15 
 14 
 13 
 12 
 
 11 
 
 10 
 9 
 
 8 
 7 
 6' 
 5 
 
 4 
 3 
 2 
 1 
 
 
 Cosine 
 
 Dif. 
 
 Secant | Covers. I Cotang. Dif. 
 
 Tang. IVerseds.) Cosec. 
 3 T 2 
 
 D, 
 
 Sine 
 
 Deg. 52. 
 
(3^4) 38 Deg. NATURAL SINES, &c. 
 
 Tab. 10. 
 
 Sine 
 
 (j15()6'I5 
 6" 158907 
 616M198 
 6M6'3489 
 616.H780 
 6'16'806{) 
 6170359 
 6172648 
 6174936 
 6177224 
 6179511 
 6181798 
 6184084 
 6186370 
 6188655 
 6190939 
 6193224 
 6195507 
 6197790 
 
 6200073 
 6202355 
 6204636 
 6206917 
 6209198 
 6211478 
 6213757 
 6216036 
 6218314 
 6220592 
 6222870 
 6225146 
 6227423 
 6229698 
 6231974 
 6234248 
 6236522 
 6238796 
 6241069 
 6243342 
 6245614 
 6247885 
 6250156 
 6252427 
 6254696 
 6256966 
 6259235 
 6261503 
 6263771 
 6266038 
 6268305 
 6270571 
 6275837 
 6275102 
 6277366 
 6279631 
 6281894 
 6284157 
 6286420 
 6288682 
 6290943 
 6293204 
 
 Dif. CoversI Cosec 
 
 2292 
 2291 
 2291 
 2291 
 
 2289 
 2290 
 2289 
 2288 
 2288 
 2287 
 2287 
 2286 
 2286 
 2285 
 2284 
 2285 
 2283 
 2283 
 2283 
 2282 
 2281 
 2281 
 2281 
 2280 
 2279 
 2279 
 2278 
 2278 
 2278 
 2276 
 2277 
 2275 
 2276 
 2274 
 2274 
 2274 
 2273 
 2273 
 2272 
 i'27] 
 2271 
 2271 
 2269 
 2270 
 2269 
 2268 
 2268 
 2267 
 2267 
 2266 
 >266 
 2265 
 2264 
 2265 
 2263 
 2263 
 2263 
 2262 
 2261 
 2261 
 
 3843385 
 3841093 
 3838802 
 3836511 
 3834220 
 3831931 
 3829641 
 3827352 
 3825064 
 3822776 
 3820489 
 3818202 
 3815916 
 3813630 
 3811345 
 3809061 
 3806776 
 3804493 
 3802210 
 3799927 
 379764; 
 3795364 
 3793083 
 3790802 
 3788522 
 
 3786243 
 3783964 
 3781686 
 3779408 
 3777130 
 3774854 
 
 3772577 
 
 3770302 
 
 3768026 
 
 3765752 
 
 3763478 
 
 3761204 
 
 3758931 
 
 3756658 
 
 3754386 
 
 375211 
 
 3749844 
 
 3747573 
 
 3745304 
 
 3743034 
 
 374076, 
 
 3738497 
 
 3736229 
 
 3733962 
 
 3731695 
 
 3729429 
 
 3727163 
 
 3724898 
 
 3722634 
 
 3720369 
 
 3718106 
 
 3715843 
 
 3713580 
 
 3711318 
 
 3709057 
 
 3706796 
 
 1 •6242692 
 1-6236648 
 1-6230609 
 1-6224576 
 1-6218549 
 1-6212528 
 1-6206513 
 1-6200504 
 1-6194500 
 1-6188502 
 1-6182510 
 1-6176524 
 1-6170544 
 1-6164569 
 1-6158600 
 1-6152637 
 1-6146680 
 1-6140728 
 1-6134783 
 1-6128843 
 1-6122908 
 1-6116980 
 1-6111057 
 1-6105140 
 1-6099228 
 1-6093323 
 1-6087423 
 1-6081528 
 1-6075640 
 1-6069757 
 1-6063879 
 
 1-6058008 
 1-6052142 
 1-6046281 
 1-6040426 
 1-6034577 
 1-6028734 
 1-6022896 
 1-6017064 
 1-6011237 
 1-6005416 
 1 -5999600 
 1-5993790 
 1 -5987986 
 1-5982187 
 1-5976394 
 1 -5970606 
 1-5964824 
 1-5959048 
 1-5953276 
 1-5947511 
 1-5941751 
 1-5935996 
 1-5930247 
 1-5924504 
 
 Tang. 
 
 7812856 
 
 7817542 
 
 7822229 
 
 7826919 
 
 783161 
 
 7836305 
 
 7841002 
 
 7845700 
 
 7850400 
 
 7855103 
 
 7859808 
 
 7864515 
 
 7869224 
 
 7873935 
 
 7878649 
 
 7883364 
 
 7888082 
 
 7892802 
 
 7897524, 
 
 7902248 
 
 7906975 
 
 7911703 
 
 7916434 
 
 7921167 
 
 7925902 
 
 7930640 
 7935379 
 7940121 
 7944865 
 794961 1 
 7954359 
 7959110 
 7963862 
 796S6\7 
 7973374 
 7978134 
 7982895 
 7987659 
 7992425 
 7997193 
 8001963 
 8006736 
 8011511 
 8016288 
 8021067 
 8025849 
 8030632 
 8035418 
 8010206 
 
 8044997 
 8049790 
 8054584 
 8059382 
 8064181 
 8068983 
 
 1-5918766 
 
 1-5913033 
 
 1-5907306 
 
 l-5901584i80882l2 
 
 1 -5895868-8093025 
 
 1-5890157*8097840 
 
 8073787 
 8078593 
 8083401 
 
 Cotang. Secant Vers. Dit. Cosine ' 
 
 1-2799416 
 1-2791745 
 1-2784079 
 1-2776419 
 1-2768765 
 1-2761116 
 1-2753473 
 1-2745835 
 1-2738204 
 1-2730578 
 1-2722957 
 1-2715342 
 1-2707733 
 1-2700130 
 1 -2692532 
 1 -2684940 
 1-2677353 
 1-2669772 
 4-2662196 
 1-2654626 
 1-2647062 
 1-2639503 
 1-2631950 
 1-2624402 
 1-2616860 
 
 1-2609323 
 1-2601792 
 1-2594267 
 1-2586747 
 1-2579232 
 1-2571723 
 1-2564219 
 1-2556721 
 1-2549229 
 1-2541742 
 1-2534260 
 1-2526784 
 1-2519313 
 1-2511848 
 1-25043^8 
 1-2496933 
 1-2489484 
 1-2482040 
 1-2474602 
 1-2467169 
 1-2459742 
 I -2452320 
 1-2444903 
 1-2437492 
 1-2430086 
 1-2422685 
 1-2415290 
 1-2407900 
 1-2400516 
 1-2393136 
 1-2385762 
 1-2378393 
 1-2371030 
 1-2363672 
 1-2356319 
 2348972i 
 
 1-2690182 
 
 1-2693067 
 
 1-2695955 
 
 1-2698845 
 
 1-2701737 
 
 1-2704632 
 
 1-2707529 
 
 1-2710429 
 
 1-271333 
 
 1-271623 
 
 1-2719142 
 
 1-2722052 
 
 1-2724963 
 
 1-2727877 
 
 1-2730794 
 
 1-2733712 
 
 1 -2736634 
 
 1-2739557 
 
 1-2742484 
 
 1-2745412 
 
 1 -2748343 
 
 1-2751276 
 
 1-2754212 
 
 1-2757151 
 
 1-2760091 
 
 1-2763034 
 
 1-2765980 
 
 1-2768928 
 
 1-2771878 
 
 1-277483 
 
 1-2777787 
 
 1-2780744 
 
 1-2783705 
 
 1-2786667 
 
 1-2789632 
 
 1-2792600 
 
 1-2795570 
 
 1 -2798543 
 
 1-2801518 
 
 1-280449.' 
 
 1-2807475 
 
 1-2810457 
 
 1-2813442 
 
 1-2816430 
 
 1-2819419 
 
 1-2822412 
 
 1-2825407 
 
 1-2828404 
 
 1-2831404 
 
 1-2834406 
 
 1-2837411 
 
 1-2840418 
 
 1-2843428 
 
 1-2846440 
 
 1-284945 
 
 1-2852472 
 
 1-2855492 
 
 1-2858514 
 
 I -286 1 539 
 
 1 -2864566 
 
 1-2867596 
 
 211989 
 
 2121684 
 
 2123476 
 
 2125268 
 
 212706 
 
 2128855 
 
 2130650 
 
 2132445 
 
 2134241 
 
 2136037 
 
 2137835 
 
 2139633 
 
 2141431 
 
 2143230 
 
 2145030 
 
 2146831 
 
 2148632 
 
 2150434 
 
 2152236 
 
 2154039 
 
 2155843 
 
 2157648 
 
 2159453 
 
 2161259 
 
 2163065 
 
 2164873 
 
 2166680 
 
 2168489 
 
 2170298 
 
 2172108 
 
 2173918 
 
 2175730 
 
 2177541 
 
 2179354 
 
 2181167 
 
 2182981 
 
 2184795 
 
 2186610 
 
 2188426 
 
 2190243 
 
 2192060 
 
 2193877 
 
 2195696 
 
 2197515 
 
 2199335 
 
 220115 
 
 2202976 
 
 2204798 
 
 2206620 
 
 2208443 
 
 2210267 
 
 2212091 
 
 2213916 
 
 2215742 
 
 2217569 
 
 2219396 
 
 2221223 
 
 2223051 
 
 2224880 
 
 2226710 
 
 2228540 
 
 1792 
 1792 
 1792 
 1793 
 1794 
 1795 
 1795 
 1796 
 1796 
 1798 
 1798 
 1798 
 1799 
 1800 
 1801 
 1801 
 1802 
 1802 
 1803 
 1804 
 1805 
 1805 
 1806 
 1806 
 1808 
 1807 
 1809 
 1809 
 1810 
 1810 
 1812 
 1811 
 1813 
 1813 
 1814 
 1814 
 1815 
 1816 
 1817 
 1817 
 1817 
 1819 
 18i9 
 1820 
 1820 
 1821 
 1822 
 1822 
 1823 
 1824 
 1824 
 1825 
 1826 
 1827 
 1827 
 1827 
 1828 
 1829 
 1830 
 1830 
 
 7880108 
 
 7878316 
 
 7876524 
 
 7874732 
 
 7872939 
 
 7871145 
 
 7869350 
 
 78675, 
 
 7865759 
 
 7863963 
 
 786216 
 
 7860367 
 
 7858569 
 
 7856770 
 
 7854970 
 
 7853169 
 
 7851368 
 
 7849566 
 
 7847764 
 
 7^45961 
 
 7844157 
 
 7842352 
 
 7840547 
 
 7838741 
 
 7836935 
 
 7835127 
 
 7833320 
 
 7831511 
 
 7829702 
 
 7827892 
 
 7826082 
 
 7824270 
 
 7822459 
 
 7820646 
 
 7818833 
 
 7817019 
 
 7815205 
 
 7813390 
 
 7811574 
 
 7809757 
 
 7807940 
 
 7806123 
 
 7804304 
 
 7802485 
 
 7800665 
 
 7798845 
 
 7797024 
 
 7795202 
 
 7793380 
 
 7791557 
 7789733 
 7787909 
 7786084 
 7784258 
 7782431 
 7780604 
 7779.777 
 7776949 
 7775120 
 7773290 
 7771460 
 
 ICosi 
 
 ne 
 
 Dif. Vers. Secant jCotan.! 'l^ng. | Cosec. {Covers | Dif. Sine 
 
 ~^' Deg. 51 
 
58 Deg. 
 
 LOG. SINKS, SiC. 
 
 (3^5) 
 
 Sine Dif. 
 
 0!9-7893420 
 
 .07895036 
 9-78966'52 
 97898266' 
 97899880 
 97901493 
 6 97903104 
 
 7 
 
 8 
 
 9 
 10 
 11 
 12 
 13 
 14 
 15 
 16 
 17 
 18 
 19 
 20 
 21 
 22 
 23 
 24 
 25 
 26 
 27 
 28 
 29 
 30i 
 
 3197943083 
 
 3297944670 
 
 3397946256 
 
 3497947841 
 
 3597949425 
 
 36 97951008 
 
 37 
 
 38 
 
 39 
 
 40 
 
 41 
 
 42 
 
 97904715 
 97906325 
 97907933 
 97909541 
 97911148 
 97912754 
 97914359 
 97915963 
 97917566 
 97919168 
 97920769 
 97922369 
 97923068 
 97925566 
 97927163 
 97928760 
 97930355 
 97931949 
 97933543 
 97935135 
 97936727 
 97938317 
 97939907 
 97941496 
 
 43 
 44 
 4'5 
 46 
 47 
 48 
 49 
 50 
 51 
 52 
 3 
 54 
 55 
 56 
 57 
 58 
 59 
 60!9 
 
 97952590 
 97954171 
 97955751 
 97957330 
 9-7958909 
 97960486 
 97962062 
 97963638 
 97965212 
 97966786 
 97968359 
 97969930 
 97971501 
 97973071 
 97974640 
 97976208 
 97977775 
 97979341 
 97980906 
 97982470 
 9-7984034 
 9-7985596 
 97987158 
 7988718 
 
 1616 
 1616 
 1614 
 1614 
 1613 
 1611 
 1611 
 1610 
 1608 
 1608 
 1607 
 1606 
 1605 
 1604 
 1603 
 1602 
 1601 
 1600 
 1599 
 1598 
 1597 
 1597 
 1595 
 1594 
 1594 
 1592 
 1592 
 1590 
 1590 
 1589 
 1587 
 1587 
 1586 
 158." 
 1584 
 158: 
 1582 
 
 1581 
 1580 
 1579 
 579 
 1577 
 1576 
 1576 
 1574 
 1574 
 1573 
 1571 
 1571 
 1570 
 1569 
 1568 
 1567 
 1566 
 1565 
 1564 
 1564 
 1562 
 1562 
 1560 
 
 Cosec. 
 
 Verseds. Tang. Dif. Cotang. Covers. 
 
 10-2106^80 9" 
 
 10-2104964|9' 
 
 10-2103348 
 
 10-2101734 
 
 10-2100120 
 
 10-2098507 
 
 10'2096896 
 
 3263138 
 3266806 
 •3270473 
 •3274137 
 •3277800 
 •3281461 
 •3285121 
 
 ■3288778 
 
 •3292434 
 
 ■3296089 
 
 •329974 
 
 •3303392 
 
 •3307041 
 
 •3310688 
 
 •3314334 
 
 3317978 
 
 3321620 
 
 3325261 
 
 3328900 
 
 3332537 
 3336172 
 3339806 
 3343438 
 3347068 
 3350697 
 10-2066457|9-3354323 
 10-2064865 9-3357949 
 10-2063273 9-3361572 
 10'206I683;9-3365194 
 10-2060093j9-3368814 
 10-2058504 9-3372432 
 
 10-2095285 
 10-2093675 
 10-2092067 
 10-2090459 
 10-2088852 
 10-2087246|9 
 10-2085641 j9< 
 10-2084037 9' 
 10-2082434:9- 
 10-20808329- 
 10-2079231 !9• 
 lO•207763l|9• 
 10-207603219- 
 10-2074434|9- 
 I0-2072837|9- 
 10-2071240 9- 
 10-2069645I9- 
 1 0-206805 1'9- 
 
 1 0-20569 17|9' 
 10-2055330 9' 
 1 0-2053 744' 9- 
 10-20521599' 
 1 0-205057 5; 9- 
 10-20489929' 
 10-204741o'9' 
 10-2045829'9- 
 
 10-2044249 
 10-2042670 
 10-2041091 
 10-2039514 
 10-2037938 
 10-2036362 
 10-2034788 
 10-2033214 
 10-2031641 
 10-2030070 
 10-2028499 
 10-2026929 
 10-2025360 
 10-2023792 
 10-2022225 
 10-2020659 
 10-2019094 
 10-2017530 
 10-2015966 
 10-2014404 
 10-2012842 
 10-2011282 
 
 3376049 
 3379664 
 3383278 
 3386889 
 3390499 
 3394107 
 3397714 
 3401319 
 9-3404922 
 9-3408524 
 9-3412124 
 9-3415722 
 9-3419319 
 9-3422913 
 9-3426507 
 9-3430098 
 9-3433688 
 9-3437276 
 9-3440863 
 9-3444448 
 9-3448031 
 9-3451612 
 9-3455192 
 9-3458770 
 
 9-3462347 
 9-3465922 
 9-3469495 
 9-3473067 
 9-3476637 
 9-3480205 
 
 9-8928098 
 
 9-8930702 
 
 9-8933306 
 
 9-8935909 
 
 9-893851 
 
 9-8941114 
 
 9-8943715 
 
 9-8946317 
 
 9-894891 
 
 9-8951519 
 
 9-8954119 
 
 9-8956719 
 
 9-8959319 
 
 9-8961918 
 
 9-8964517 
 
 9-8967116 
 
 9-8969714 
 
 9-8972312 
 
 9-8974910 
 
 9-8977507 
 9-8980104 
 9-8982700 
 9-8985296 
 9-8987892 
 9-8990487 
 9-8993082 
 9-8995677 
 9-8998271 
 
 9000865 
 9-9003459 
 9-9006052 
 9-9008645 
 9-9011237 
 9-9013830 
 9-9016422 
 9-9019013 
 9-9021604 
 9-9024195 
 9-9026786 
 9-9029376 
 9-9031966 
 9-9034555 
 9-9037144 
 9-9039733 
 9-9042321 
 9-9044910 
 9-9047497 
 9-9050085 
 9-9052672 
 9-9055259 
 9-9057845 
 9-9060431 
 9-9063017 
 9-9065603 
 9-9068188 
 9-9070773 
 9-907S357 
 
 9075941 
 9-9078525 
 9-9081109 
 9-9083692 
 
 2604 
 2604 
 2603 
 2602 
 2603 
 2601 
 2602 
 2601 
 2601 
 2600 
 2600 
 2600 
 2599 
 2599 
 2599 
 2598 
 2598 
 2598 
 2597 
 
 2597 
 
 2596 
 
 2596 
 
 2596 
 
 259 
 
 2595 
 
 2595 
 
 2594 
 
 2594 
 
 2594 
 
 2593 
 
 2593 
 
 2592 
 
 2593 
 
 2592 
 
 2591 
 
 2591 
 
 2591 
 
 2591 
 
 2590 
 
 2590 
 
 2589 
 
 2589 
 
 2589 
 
 2588 
 2589 
 2587 
 2588 
 2587 
 2587 
 2586 
 2586 
 2586 
 2586 
 2585 
 2585 
 2584 
 2584 
 2584 
 2584 
 2583 
 
 10-1071902 
 
 10-1069298 
 
 10-1066694 
 
 10-1064091 
 
 10-1061489 
 
 10-1058886 
 
 10-105628 
 
 10- 1053683 
 
 10-1051082 
 
 10-1048481 
 
 10-1045881 
 
 10-1043281 
 
 10-1040681 
 
 10-1038082 
 
 10-1035483 
 
 10-1032884 
 
 10-1030286 
 
 10-1027688 
 
 10-1025090 
 
 10-1022493 
 
 10-101989 
 
 10-1017300 
 
 10-1014704 
 
 10-1012108 
 
 10-1009513 
 
 10-1006918 
 
 10-1004323 
 
 10-1001729 
 
 10-0999135 
 
 10-0995541 
 
 10-0993948 
 
 10-0991355 
 
 10-0988763 
 
 10-0986170 
 
 10-0983578 
 
 10-0980987 
 
 10-0978396 
 
 10-0975805 
 10-0973214 
 10-0970624 
 10-0968034 
 10-0965445 
 10-0962856 
 10-0960267 
 10-0957679 
 0-0955090 
 10'0952503 
 10-0949915 
 10-0947328 
 10-0944741 
 10-0942155 
 10-0939569 
 10-0936983 
 10-0934397 
 10-0931812 
 
 10-0929227 
 10-0926643 
 10-0924059 
 10-0921475 
 10-0918891 
 10-0916308 
 
 9-5847139 
 9-5844549 
 9-5841957 
 9-5839364 
 9-5836771 
 9-5834176 
 9-5831581 
 
 '5828985 
 5826387 
 5823789 
 5821190 
 5818589 
 5815988 
 
 5813386 
 5810783 
 5808179 
 5805574 
 5802968 
 5800361 
 
 9 
 9 
 9 
 9 
 9 
 9 
 9 
 9 
 
 9-5797753 
 9-5795144 
 9-5/92534 
 >-5789923 
 9-5787311 
 9-5784698 
 9-5782085 
 9-5779470 
 9-5776854 
 9-5774237 
 9-5771620 
 9-5769001 
 9-5766382 
 
 76376 
 9-5761139 
 9-5758517 
 9-5755893 
 9-5753269 
 
 9-5750643 
 9-5748017 
 9-5745390 
 9-5742761 
 9-5740 132 
 9-5737502 
 9-5734870 
 9-5732238 
 9-5729605 
 9-5726970 
 5724335 
 9-5721699 
 
 9-5719062 
 9-5716423 
 9-5713784 
 9-5711144 
 9-5708503 
 
 5705861 
 9-5703218 
 9-5700573 
 9-5697928 
 9-5695282 
 9-5692635 
 
 5689987 
 
 Secant Dif. Cosine 
 
 ■1034679 
 ■1035666 
 •1036654 
 •1037642 
 ■1038631 
 •1039621 
 •1040611 
 •1041602 
 •1042594 
 •1043586 
 •1044578 
 ■1045571 
 ■1046565 
 •1047560 
 ■1048555 
 ■1049550 
 1050547 
 1051543 
 1052541 
 1053539 
 1054537 
 1055537 
 1056536 
 1057537 
 1058538 
 1059539 
 1060542 
 1061544 
 1062548 
 1063552 
 1064556 
 1065561 
 1066567 
 1067574 
 1068581 
 1069588 
 1070596 
 1071605 
 1072615 
 1073625 
 1074635 
 1075646 
 1076658 
 
 1077671 
 1078684 
 1079697 
 1080711 
 1081726 
 1082742 
 1083758 
 1084774 
 1085792 
 1086809 
 1087828 
 1088847 
 1089867 
 1090887 
 1091908 
 1092929 
 1093951 
 1094974 
 
 987 
 
 988 
 
 988 
 
 989 
 
 990 
 
 990 
 
 991 
 
 992 
 
 992 
 
 992 
 
 993 
 
 994 
 
 995 
 
 995 
 
 995 
 
 997 
 
 996 
 
 998 
 
 998 
 
 998 
 
 1000 
 
 999 
 
 1001 
 
 1001 
 
 1001 
 
 1003 
 
 1002 
 
 1004 
 
 1004 
 
 1004 
 
 1005 
 
 1006 
 
 1007 
 
 1007 
 
 1007 
 
 1008 
 
 1009 
 
 1010 
 
 1010 
 
 1010 
 
 1011 
 
 1012 
 
 1013 
 
 1013 
 
 1013 
 
 1014 
 
 1015 
 
 1016 
 
 1016 
 
 1016 
 1018 
 1017 
 1019 
 1019 
 1020 
 1020 
 1021 
 1021 
 1022 
 1023 
 
 9-8965321 
 9-8964334 
 9-8963346 
 9-8962358 
 9-8961369 
 9-8960379 
 9-8959389 
 9-8958398 
 9-8957406 
 9-8956414 
 9-8955422 
 9-8954429 
 9-8953435 
 9-8952440 
 9-8951445 
 9-8950450 
 9-8949453 
 9-89484.57 
 9-8947459 
 9-8946461 
 9-8945463 
 9-8944463 
 9-8943464 
 9-8942463 
 9-8941462 
 
 9-8940461 
 
 9-8939458 
 
 9-8938456 
 
 9-8937452 
 
 9 8936448 
 
 9-8935444 
 
 9-8934439 
 
 9-8933433 
 
 9-8932426 
 
 9-8931419 
 
 9-8930412 
 
 9-8929404 
 
 9-892839 
 
 9-892738 
 
 9-892637 
 
 9-8925365 
 
 9-8924354 
 
 9-8923342 
 
 9-8922329 
 9-8921316 
 9-8920303 
 9-8919289 
 9-8918274 
 9-8917258 
 9-8916242 
 9-8915226 
 9-8914208 
 9-8913191 
 9-8912172 
 9-8911153 
 9-8910133 
 9-8909113 
 9-8908092 
 9-8907071 
 9-8906049 
 9-8905026 
 
 ' Cosine Dif. 
 
 Secant Covers. I Cotang. Dif. Tang. Verseds. 
 
 Cosec. Dif. Sine 
 
 Deg. 51 
 
(32(5) 39 Deg. natural sines, &c. 
 
 Tab. 10. 
 
 Sine Dif. Covers Cosec. Tang. |Cotang. Secant Vers. Dif. Cosine | ^ 
 
 6:^93204 
 6295464 
 6297724 
 6299983 
 6302242 
 6304500 
 6306758 
 6309015 
 6311272 
 6313528 
 6315784 
 6318039 
 6320293 
 
 6322547 
 6324800 
 6327053 
 6329306 
 6331557 
 6333809 
 
 6336059 
 6338310 
 6340559 
 6342808 
 6345057 
 6347305 
 
 6349553 
 
 6351800 
 
 6354046 
 
 6356292 
 
 6358537 
 
 6360782 
 
 6363026 
 
 6365270 
 
 6367513 
 
 6369756 
 
 6371998 
 
 36j63 74240 
 
 37|6376481 
 
 38 {6378 721 
 
 3916380961 
 
 40j6383201 
 
 41 6385440 
 
 426387678 
 
 :i60679(i 
 3604536 
 3602276 
 3600017 
 3697758 
 3695500 
 3693242 
 3690985 
 ooe;fi 3688728 
 ^^^^. 3686472 
 3684216 
 3681961 
 3679707 
 3677453 
 3675200 
 3672947 
 3670694 
 3668443 
 3666191 
 3663941 
 3661690 
 3659441 
 3657192 
 3654943 
 3652695 
 
 3650447 
 3648200 
 3645954 
 
 2260 
 2260 
 2259 
 2259 
 2258 
 2258 
 2257 
 2257 
 
 22 5 ( 
 
 2255 
 
 2254 
 
 2254 
 
 2253 
 
 2253 
 
 2253 
 
 2251 
 
 2252 
 
 2250 
 
 2251 
 
 2249 
 
 2249 
 
 2249 
 
 2248 
 
 2248 
 
 2247 
 2246| 
 
 6389916 
 
 6392153 
 
 6394390 
 
 6396626 
 
 6398862 
 
 6401097 
 
 6403332 
 
 6405566 
 
 6407799 
 
 6410032 
 
 6412264 
 
 6414496 
 
 6416728 
 
 6418958 
 
 6421189 
 
 642341 
 
 6425647 
 
 6427876 
 
 2246 
 2245 
 2245 
 2244 
 2244 
 2243 
 2243 
 2242 
 2242 
 2241 
 2240 
 2240 
 2240 
 2239 
 2238 
 2238 
 2237 
 2237 
 2236 
 29'^6 
 2235K^^^3« 
 
 3643708 
 3641463 
 3639218 
 3636974 
 3634730 
 3632487 
 3630244 
 3628002 
 3625760 
 3623519 
 3621279 
 3619039 
 3616799 
 3614560 
 3612322 
 3610084 
 3607847 
 3605610 
 3603374 
 
 2235 
 
 13598903 
 
 ^^,.,3596668 
 ;:'^^3594434 
 ^^^^1359220] 
 ;;^33589968 
 ;;^;!3587736 
 ^^"^^'"585504 
 
 2232 
 2230 
 2231 
 2229 
 2229 
 2229 
 
 3583272 
 3581042 
 3578811 
 35765B2 
 3574353 
 3572124 
 
 1-5890157 
 1-5884452 
 1-5878752 
 1-5873058 
 1-5867369 
 1-5861685 
 1-5856007 
 1-5850374 
 1-5844667 
 1-5839005 
 1-5833348 
 1-5827697 
 1-5822051 
 1-5816411 
 1-5810776 
 1-5805146 
 1-5799521 
 1-5793902 
 1-5788289 
 1-5782680 
 1-5777077 
 1-5771479 
 1-5765887 
 1-5760300 
 5754718 
 1-5749141 
 1-5743570 
 1-5738004 
 1-5732443 
 1-5726887 
 1-5721337 
 l-67"i5792 
 1-5710252 
 1-5704717 
 1-5699188 
 1-5693664 
 1-5688145 
 1-5682631 
 1-5677123 
 1-5671619 
 1-5666121 
 1-5660628 
 1-5655141 
 1-5649658 
 1-5644181 
 1-5638708 
 1-5633241 
 1-5627779 
 1-5622322 
 
 1-5616871 
 1-5611424 
 1-5605982 
 1-5600546 
 1-5595115 
 1-5589689 
 
 1-5584268 
 
 1-5578852 
 
 1-5573441 
 
 1-556803 
 
 1-5562634 
 
 1-5557238 
 
 8097840 
 8102658 
 8107478 
 8112300 
 8117124 
 8121951 
 8126780 
 8131611 
 8136444 
 8141280 
 
 14611 
 8150958 
 
 155801 
 8160646 
 8165493 
 8170343 
 8175195 
 8180049 
 8184905 
 8189764 
 8194625 
 8199488 
 8204354 
 8209222 
 8214093 
 
 821896 
 
 8223840 
 
 8228718 
 
 8233597 
 
 8238479 
 
 8243364 
 
 8248251 
 
 8253140 
 
 8258031 
 
 8262925 
 
 8267821 
 
 827271 
 
 8277620 
 
 8282523 
 
 8287429 
 
 8292337 
 
 8297247 
 
 8302160 
 
 8307075 
 
 8311992 
 
 8316912 
 
 8321834 
 
 8326759 
 
 8331686 
 
 8336615 
 
 834J547 
 
 8346481 
 
 8351418 
 
 8356357 
 
 8361298 
 
 8366242 
 
 8371188 
 
 8376136 
 
 8381087 
 
 8386041 
 
 8390996 
 
 2348972 
 1-2341629 
 1-2334292 
 1-2326961 
 1-2319634 
 1-2312313 
 1-2304997 
 1-2297687 
 1-2290381 
 1-2283081 
 1-2275786 
 1-2268496 
 1-2261211 
 1-2253932 
 1-2246658 
 1-2239389 
 1-2232126 
 1-2224866 
 1-2217613 
 1-2210364 
 1-2203121 
 1-2195883 
 1-2188650 
 1-2181422 
 1-2174199 
 1-2166982 
 1-2159769 
 1-2152562 
 1-2145359 
 1-2138162 
 i-2 130970 
 1-2123783 
 1-2116601 
 1-2109424 
 1-2102252 
 1-2095085 
 1-2087924 
 
 1-2080767 
 1-2073615 
 1-2066468 
 1-2059327 
 1-2052190 
 1-2045058 
 1-2037932 
 1-2030810 
 1-2023693 
 1-2016581 
 1-2009475 
 1-2002373 
 1-1995276 
 1-1988184 
 1-1981097 
 1-1974015 
 1-1966938 
 1-1959866 
 1-195279^ 
 M945r!^6 
 1-1938679 
 1-1931626 
 1-1924579 
 1-1917536 
 
 1-2867596 
 1-2870628 
 1-2873663 
 1-2876700 
 1-2879740 
 1-2882782 
 1-2885827 
 1-2888875 
 1-2891925 
 1-2894977 
 1 -2898032 
 1-2901090 
 1-2904150 
 1-2967213 
 1-2910278 
 1-2913346 
 1-2916416 
 1-2919489 
 1-2922564 
 1-2925642 
 1-2928723 
 1-2931806 
 1-2934892 
 1-2937980 
 1-294107 
 I-294C164 
 1-2947260 
 1-2950359 
 1-2953460 
 1-2956564 
 2959670 
 1-2962779 
 1-2965890 
 1 -2969004 
 1-2972121 
 2975240 
 1-2978362 
 
 1-2981487 
 1-2984614 
 1-2987743 
 1-2990876 
 1-2994011 
 1-2997148 
 1-3000288 
 
 2228540 
 2230371 
 2232203 
 2234035 
 2235868 
 2237702 
 2239536 
 
 2241371 
 
 2243206 
 
 2245043 
 
 2246879 
 
 2248717 
 
 2250555 
 
 2252394 
 
 2254233 
 
 2256074 
 
 2257914 
 
 2259756 
 
 2261598 
 
 2263441 
 
 2265284 
 
 2267128 
 
 2268973 
 
 2270818 
 
 2272664 
 
 2274511 
 
 2276368 
 
 2278206 
 
 2280055 
 
 2281904 
 
 2283754 
 
 2285605 
 
 2287456 
 
 2289308 
 
 2291160 
 
 2293014 
 
 2294868 
 
 2296722 
 
 2298577 
 
 2300433 
 
 2302290 
 
 2304147 
 
 2306004 
 
 2307863 
 
 1831 
 832 
 832 
 1833 
 1834 
 1834 
 1835 
 1835 
 1837 
 1836 
 1838 
 1838 
 1839 
 1839 
 184 
 1840 
 1842 
 1842 
 1843 
 1843 
 1844 
 1845 
 1845 
 1846 
 1847 
 1847 
 1848 
 1849 
 1849 
 1850 
 1851 
 1851 
 
 7771460 
 7769629 
 77G7797 
 7765965 
 7764132 
 7762298 
 7760464 
 7758629 
 7756794 
 7754967 
 7753121 
 7751283 
 7749445 
 7747606 
 7745767 
 7743926 
 7742086 
 7740244 
 7738402 
 7736559 
 7734716 
 
 7732872 39 
 
 7731027 38 
 
 7729182 37 
 
 772733636 
 
 7725489 
 
 7723642 
 
 7721794 
 
 7719945 
 
 7718096 
 
 7716246 
 
 7714395 
 
 ,0,27712544 
 p^2^77l0692 
 
 ^.^7708840 
 «^J7706986 
 
 !^^^|7705132 
 
 17703278 
 
 ":j!i7701423 
 
 \lTi7699'667 
 
 ^^^^7697710 
 
 1-300343112309722 
 1-3006576 2311582 
 1-3009724 2313442 
 
 1-3012875 
 1-3016028 
 1-3019184 
 1 -3022343 
 1-3025504 
 1-3028667 
 1.-3031834 
 1-3035003 
 1-3038175 
 1-3041349 
 1-3044526 
 1-3047706 
 1-3050888 
 1-3054073 
 
 2315303 
 
 2317165 
 
 2319027 
 
 2320890 
 
 2322754 
 
 232461 
 
 23264^3 
 
 2328348 
 
 2330215 
 
 2332082 
 
 2333949 
 
 2335817 
 
 2337686 
 
 2339556 
 
 7695853 
 7693996 
 
 1857 
 
 1857 
 
 1859 ^ 
 ..„ 7692137 
 7690278 
 17688418 
 7686568 
 7684697 
 7682835 
 
 1859 
 
 1860 
 
 I860;; 
 
 1861 
 
 1862 
 
 1862 
 
 1863 
 
 1864 
 
 1 
 
 1^^5i7673517 
 
 ^^.^7671652 
 '86/1 „„ 
 
 J7669785 
 ^%7667918 
 
 «^J|766605 
 ^^.^7664183 
 
 ^5;^7662314 
 ^'^'^"7660444 
 
 7680973 
 7679110 
 ^"^7677246 
 ^•^^7675382 
 
 35 
 
 34 
 
 33 
 
 32 
 
 31 
 
 30 
 
 29 
 
 28 
 
 27 
 
 26 
 
 25 
 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 
 19 
 
 18 
 
 17 
 
 16 
 
 15 
 
 14 
 
 13 
 
 12 
 
 11 
 
 10 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 
 4 
 
 3 
 
 2 
 
 1 
 
 
 
 Cosine Diu Vers. 
 
 Secant Cotan 
 
 Tang. 
 
 Cosec. 
 
 Covers Dif. t Sine 
 
 Deg. 50, 
 
39 Deg. 
 
 LOG. SINES, &C. 
 
 (327) 
 
 Sine Dit, 
 
 Cosec. Verseds. Taog. Dif. Cotang. Covers. 
 
 Secant Dif. Cosine 
 
 9-7988718 
 9-7090278 
 97991836 
 9-7993394 
 9-7994951 
 9-7996507 
 9-7998062 
 9-7999616 
 9-8001169 
 9-8002721 
 9-8004272 
 9-8005823 
 9-8007372 
 
 9-8008921 
 9-8010468 
 9-8012015 
 9-8013561 
 9-8015106 
 9-8016649 
 9-8018192 
 9-8019735 
 9-8021276 
 9-8022816 
 9-8024355 
 9-8025894 
 9-8027431 
 9-8028968 
 9-8030504 
 9-8032038 
 9-8033572 
 9-8035105 
 9-8036637 
 9-8038168 
 9-8039699 
 9-8041228 
 9-8042757 
 9-8044284 
 9-8045811 
 9-8047336 
 9-8048861 
 9-8050385 
 9-8051908 
 9-8053430 
 9-8054951 
 9-8056472 
 9-8057991 
 9-8059510 
 9-8061027 
 9-8062544 
 9-8064060 
 9-8065575 
 9-8067089 
 8068602 
 9-8070114 
 9-8071626 
 9-8073136 
 9-8074646 
 9-8076154 
 9-8077662 
 9-8079169 
 9-8080675 
 
 11560 
 1558 
 1558 
 1557 
 1556 
 1555 
 1554 
 1553 
 1552 
 1551 
 1551 
 1549 
 
 1549 
 1547 
 1547 
 1546 
 1545 
 1543 
 1543 
 1543 
 1541 
 1540 
 1539 
 1539 
 
 1537 
 1537 
 1536 
 1534 
 1534 
 1533 
 1532 
 1531 
 1531 
 1529 
 1529 
 1527 
 
 1527 
 1525 
 1525 
 1524 
 1523 
 1522 
 1521 
 1521 
 1519 
 1519 
 1517 
 1517 
 1516 
 1515 
 1514 
 1513 
 1512 
 1512 
 1510 
 1510 
 1508 
 1508 
 1507 
 1506 
 
 164 9 
 
 2011282 
 
 ^009722 
 
 2008 
 
 2006606 
 
 2005049 
 
 2003493 
 
 2001938 
 
 20U0384 
 
 1998831 
 
 1997279 
 
 1995728 
 
 1994177 
 
 1992628 
 
 1991079 
 
 1989532 
 
 1987985 
 
 1986439 
 
 1984894 
 
 1983351 
 
 1981808 
 
 1980265 
 
 1978724 
 
 1977184 
 
 1975645 
 
 1974106 
 
 1972569 
 
 1971032 
 
 1969496 
 
 1967962 
 
 1966428 
 
 1964895 
 
 1963363 
 
 1961832 
 
 1960301 
 
 1958772 
 
 1957243 
 
 1955716 
 
 1954189 
 
 1952664 
 
 1951139 
 
 1949615 
 
 1948092 
 
 1946570 
 
 1945049 
 
 1943528 
 
 1942009 
 
 1940490 
 
 1938973 
 
 1937456 
 
 1935940 
 
 1934425 
 
 1932911 
 
 1931398 
 
 1929886 
 
 1928374 
 
 1926864 
 
 1925354 
 
 1923846 
 
 1922338 
 
 1920831 
 
 1919325 
 
 9-3480205 
 9-3483772 
 3487337 
 9-3490900 
 9-3494462 
 9-3498022 
 9-3501580 
 
 9-9083692 
 9-9086275 
 9-9088858 
 9-9091440 
 9-9094022 
 9-9096603 
 9-9099185 
 
 9-3505137 
 
 9-3508692 
 
 9-3512246 
 
 9-3515798 
 
 9-3519348ie 
 
 9-3522897 
 
 9-9101766 
 9-9104347 
 9-9106927 
 9-9109507 
 9112087 
 9-9114666 
 
 9-3526444 
 9-3529989 
 9-3533533 
 9-3537075 
 9-3540615 
 9-3544154 
 9-3547691 
 9-3551227 
 9-3554761 
 9-3558293 
 9-3561824 
 9-3565353 
 
 9-3568880 
 9-3572406 
 9-3575930 
 9-3579453 
 9-3582974 
 9-3586494 
 9-359001 1 
 9-3593528 
 9-3597042 
 9-3600555 
 9-3604067 
 9-3607576 
 
 9-3611084 
 9-3614591 
 9-3618096 
 9-3621599 
 9-3625101 
 9-3628601 
 9-3632100 
 9-3635597 
 9-3639092 
 9-3642586 
 9-3646079 
 9-3649569 
 
 9-3653068 
 
 9-3656546 
 
 9-3660032 
 
 9-366351 6j9 
 
 9-3666999!9 
 
 9-3670480j9 
 
 9-36739599 
 
 9-3677437!9 
 
 9-3680914 9 
 
 9-3684389,9 
 
 9-3687862i9 
 
 9-3691334 9 
 
 9-9117245 
 9-9119824 
 9-9122403 
 9-9124981 
 9-9127559 
 9-9130137 
 9-9132714 
 9-9135291 
 9-9137868 
 9-9140444 
 9-9143020 
 9-9145596 
 
 9-9148171 
 9-9150747 
 9-9153322 
 9-9155896 
 9-9158471 
 9-9161045 
 
 9-9163618 
 9-9166192 
 9-9168765 
 9-9171338 
 9-9173911 
 9-9176483 
 9-9179055 
 9-9181627 
 9-9184198 
 9-9186769 
 9-9189340 
 9-9191911 
 
 9-9194481 
 9-9197051 
 9-9199621 
 9-9202191 
 9-9204760 
 9-9207329 
 
 9209898 
 9212466 
 9215034 
 9217602 
 9220170 
 9222737 
 9225304 
 9227871 
 9230437 
 9233004 
 9235570 
 9238135 
 
 2583 
 2583 
 2582 
 2582 
 2581 
 2582 
 2581 
 2581 
 2580 
 2580 
 2580 
 2579 
 2579 
 2579 
 2579 
 2578 
 2578 
 2578 
 2577 
 2577 
 2577 
 2576 
 2576 
 2576 
 2575 
 2576 
 2575 
 2574 
 2575 
 2574 
 
 2573 
 2574 
 2573 
 2573 
 2573 
 2572 
 2572 
 2572 
 2S7I 
 2571 
 2571 
 2571 
 2570 
 2570 
 2570 
 2570 
 2569 
 2569 
 2569 
 2568 
 2568 
 2568 
 2568 
 2567 
 2567 
 2567 
 2566, 
 2567 
 2566 
 2565 
 
 10-0916308 
 10-0913725 
 10-0911142 
 10-0908560 
 10-0905978 
 10-0903397 
 10-0900815 
 10-0898234 
 10-0895653 
 10-0893073 
 10-0890493 
 10-0887913 
 10-0885334 
 10-0882755 
 10-0880176 
 10-0877597 
 10-0875019 
 10-0872441 
 10-0869863 
 10-0867286 
 10-0864709 
 10-0862132 
 10-0859556 
 10-0856980 
 10-0854404 
 
 10-0851829 
 10-0849253 
 10-0846678 
 10-0844104 
 10-0841529 
 10-0838955 
 10-0836382 
 10-0833808 
 10-0831235 
 10-0828662 
 10-0826089 
 10-0823517 
 10-0820945 
 10-0818373 
 10-0815802 
 10-0813231 
 10-0810660 
 10-0808089 
 
 10-0805519 
 10-0802949 
 10-0800379 
 10-0797809 
 10-0795240 
 10-0792671 
 10-0790102 
 10-0787534 
 10-0784966 
 10-0782398 
 10-0779830 
 10-0777263 
 10-0774696 
 10-0772129 
 10-0769563 
 10-0766996 
 10-0764430 
 10-0761865 
 
 6689987 
 5687338 
 5684688 
 5682037 
 5679385 
 5676732 
 5674078 
 
 9 
 9 
 9 
 9 
 9 
 9' 
 9 
 
 9-5671423 
 9-5668766 
 9-5666109 
 9-5663451 
 9-5660792 
 9-5658132 
 
 9-5655471 
 9-5652809 
 9-5650146 
 9-5647482 
 &-5644817 
 9-5642151 
 
 9-5639484 
 9-5636816 
 9-5634147 
 9-5631477 
 9-5628806 
 9-6626134 
 9-5623461 
 9-5620787 
 9-5618112 
 9-5615436 
 9-5612759 
 9-5610080 
 9-5607401 
 9-5604721 
 9-5602040 
 9-5599358 
 9-5596675 
 9-5593991 
 9-5591305 
 9-5588619 
 9-5585932 
 9-5583244 
 9-5580555 
 9-5577864 
 9-5575173 
 9-5572481 
 9-5569787 
 9-5567093 
 9-5564398 
 9-5561701 
 
 9-5559004 
 9-5556306 
 9-5553606 
 9-5550906 
 9-5548204 
 9-5545502 
 9 5542798 
 9-5540094 
 9-5537388 
 9-5534681 
 9-5531974 
 9-5529265 
 
 1094974 
 1095997 
 1097021 
 1098046 
 1099071 
 1100097 
 1101123 
 
 1102150 
 1103178 
 1104206 
 1105235 
 1106264 
 1107294 
 1108325 
 1109356 
 1110388 
 1111420 
 1112453 
 1113487 
 1 1 14521 
 1115556 
 1116592 
 1117628 
 1118665 
 1119702 
 1120740 
 1121779 
 1122818 
 1123858 
 1124898 
 1125939 
 
 1126981 
 
 1128023 
 
 1129066 
 
 1130110 
 
 1131154 
 
 1132199 
 
 1133244 
 
 1134290 
 
 1135337 
 
 1136384 
 
 1137432 
 
 1138481 
 
 1139530 
 
 1 140580 
 
 1141630 
 
 114268 
 
 1143733 
 
 1144785 
 
 1145838 
 
 1146891 
 
 1 147945 
 
 1149000 
 
 1150055 
 
 1151111 
 
 1152168 
 
 1153225 
 
 1 1 54283 
 
 1155341 
 
 11 5640 J 
 
 1157460 
 
 1023 
 1024 
 1025 
 1025 
 1026 
 1026 
 
 1027 
 1028 
 1028 
 1029 
 1029 
 1030 
 1031 
 1031 
 1032 
 1032 
 1033 
 1034 
 
 1034 
 1035 
 1036 
 1036 
 1037 
 1037 
 1038 
 1039 
 1039 
 1040 
 1040 
 1041 
 1042 
 1042 
 1043 
 1044 
 1044 
 1045 
 
 1045 
 1046 
 1047 
 1047 
 1048 
 1049 
 1049 
 1050 
 1050 
 1051 
 1052 
 1052 
 1053 
 1053 
 1054 
 1055 
 1055 
 1056 
 
 1057 
 1057 
 1058 
 1058 
 1060 
 1059 
 
 8905026 
 8904003 
 8902979 
 8901954 
 8900929 
 8899903 
 8898877 
 8897850 
 8896822 
 8895794 
 8894765 
 8893736 
 8892706 
 8891675 
 8890644 
 8889612 
 8888580 
 8887547 
 8886513 
 
 '8885479 
 
 8884444 
 
 ■8883408 
 
 '8882372 
 
 •8881335 
 
 ■8880298 
 
 ■8879260 
 
 ■8878221 
 
 •8877182 
 
 ■8876142 
 
 •8875102 
 
 ■8874061 
 
 ■8873019 
 
 •8871977 
 
 •8870934 
 
 ■8869890 
 
 •8868846 
 
 ■8867801 
 
 •8866756 
 
 ■8865710 
 
 ■8864663 
 
 ■8863616 
 
 •8862568 
 
 •8861519 
 
 •8860470 
 
 ■8859420 
 
 ■8858370 
 
 ■8857319 
 
 •8856267 
 
 •8855215 
 
 •8864162 
 
 •8853109 
 
 •8852055 
 
 •8851000 
 
 884994 
 
 •8848889 
 
 ■8847832 
 
 •8846775 
 
 •8846717 
 
 ■8844659 
 
 •8843599 
 
 •8842540 
 
 Cosine 
 
 Dif. 
 
 Secant 
 
 Covers. Cotang 
 
 Dif. 'I'ang. 
 
 Verseds. 
 
 Cosec. Dif. S 
 
 >ine 
 
 Deg. 50. 
 
(328) 2jfDe£j. natural sines, &:c. Tab. 10. 
 
 Sine Dif. Covers Cosec. Tanij. Cotang. Secant Vers. Dir. Cosine ' 
 
 6"4'2787b" 
 6'430I04 
 6*432332 
 643455.9 
 6436785 
 6439011 
 6441236 
 6443461 
 6445685 
 6447909 
 6450132 
 6452355 
 6454577 
 6456798 
 6459019 
 6461240 
 6463460 
 6465679 
 6467898 
 6470116 
 6472334 
 6474551 
 6476767 
 6478984 
 6481199 
 6483414 
 : 6485628 
 6487842 
 6490056 
 
 29 6492268 
 
 30 6494480 
 
 6496692 
 6498903 
 6501114 
 6503324 
 6505533 
 6507742 
 6509951 
 6512158 
 6514366 
 6516572 
 6518778 
 6520984 
 6523189 
 6525394 
 6527598 
 6529801 
 6532004 
 6534206 
 
 6536408 
 6538609 
 6540810 
 6543010 
 6545209 
 6547408 
 
 6549607 
 6551804 
 6554002 
 6556198 
 6558395 
 6560590 
 
 2228 
 2228 
 2227 
 2226 
 2226 
 2225 
 2225 
 2224 
 2224 
 2223 
 2223 
 2222 
 2221 
 2221 
 2221 
 2220 
 2219 
 2219 
 2218 
 2218 
 2217 
 2216 
 2217 
 2215 
 2215 
 2214 
 2214 
 2214 
 2212 
 2212 
 2212 
 2211 
 2211 
 2210 
 2209 
 2209 
 2209 
 2207 
 2208 
 2206 
 2206 
 2206 
 220a 
 2205 
 2204 
 2203 
 2203 
 2202 
 2202 
 2201 
 2201 
 2200 
 2199 
 2199 
 2199 
 2197 
 2198 
 2196 
 2197 
 2195 
 
 i572124 
 3569896 
 3567668 
 3565441 
 3563215 
 3560989 
 3558764 
 3556539 
 3554315 
 3552091 
 3549868 
 3547645 
 3545423 
 3543202 
 3540981 
 3538760 
 3536540 
 3534321 
 3532102 
 3529884 
 3527666 
 3525449 
 3523233 
 3521016 
 3518801 
 3516586 
 3514372 
 3512158 
 3509944 
 3507732 
 3505520 
 3503808 
 3501097 
 3498886 
 3496676 
 3494467 
 3492258 
 3490049 
 3487842 
 3485634 
 3483428 
 3481222 
 3479016 
 3476811 
 3474606 
 3472402 
 3470159 
 3467996 
 3465794 
 3463592 
 3461391 
 3459190 
 3456990 
 3454791 
 3452592 
 
 3450393 
 3448196 
 3445998 
 3443802 
 3441605 
 3439410 
 
 Cosine Dif. 
 
 1-5557238 
 1-5551848 
 1 -5546462 
 1-5541081 
 1-5535706 
 1-5530335 
 1-5524970 
 1-5519610 
 1-5514254 
 1-5508904 
 1-5503558 
 1-5498218 
 1-5492882 
 
 1-5487552 
 1-5482226 
 1-5476906 
 1-5471590 
 1-5466280 
 1-5460974 
 1-5455673 
 1-5450378 
 1-5445087 
 1-5439801 
 1-5484520 
 1-5429244 
 1-5423973 
 1-5418706 
 1-5413445 
 1-540SJ189 
 1-5402937 
 1-5397690 
 5392449 
 1-5387212 
 1-5381980 
 1-5376752 
 1-5371530 
 1-5366313 
 1-5361100 
 1-5355892 
 1-5350689 
 1-5345491 
 1-5340297 
 1-5335109 
 1-5329925 
 1-5324746 
 1-5319572 
 1-5314403 
 1-5309238 
 1-5304078 
 1-5298923 
 1-5293773 
 1-5288627 
 1-5283487 
 1-5278351 
 1-5273219 
 1-5268093 
 5262971 
 5257854 
 1-5252741 
 1-5247634 
 1-5242531 
 
 8390995 
 
 8395955 
 
 8400915 
 
 8405878 
 
 8410844 
 
 8415812 
 
 8420782 
 
 84257 
 
 8430730 
 
 8435708 
 
 8440688 
 
 8445G70 
 
 8450655 
 
 8455643 
 
 8460633 
 
 8465625 
 
 8470620 
 
 8475617 
 
 8480617 
 
 8485619 
 
 8490624 
 
 8495631 
 
 8500640 
 
 8505653 
 
 8510667 
 
 8515684 
 
 8520704 
 
 8525726 
 
 8530750 
 
 8535777 
 
 8540807 
 
 8545839 
 
 8550873 
 
 8555910 
 
 8560950 
 
 8565992 
 
 8571037 
 
 8576084 
 
 8581133 
 
 8586185 
 
 8591240 
 
 8596297 
 
 8601357 
 
 8606419 
 
 8611484 
 
 8616551 
 
 8621621 
 
 8626694 
 
 8631768 
 
 8636846 
 
 8641926 
 
 8647009 
 
 8652094 
 
 8657181 
 
 8662272 
 
 8667365 
 8672460 
 8677558 
 8682659 
 8687762 
 8692867 
 
 1917536 
 1910498 
 1903465 
 1896437 
 1889414 
 1882395 
 1 875382 
 
 1868373 
 1861369 
 1854370 
 1847376 
 1840387 
 1833402 
 
 1826422 
 1819447 
 1812477 
 1805512 
 1798551 
 1791595 
 1784644 
 177769S 
 1770756 
 1763820 
 1756888 
 1749960 
 1743038 
 1736120 
 1729207 
 1722298 
 1715395 
 1708496 
 1701601 
 1694712 
 1687827 
 1680947 
 1674071 
 1667200 
 1660334 
 1653472 
 1646615 
 1639763 
 1632916 
 1626073 
 1619234 
 1612400 
 1605571 
 1598747 
 1591927 
 1585112 
 
 1578301 
 1571495 
 1564693 
 1557896 
 1551104 
 1544316 
 1537532 
 1530754 
 1523979 
 1517210 
 1510445 
 1503684 
 
 1-3054073 
 1-3057261 
 1-3060451 
 1-3063644 
 1-3066839 
 1-3070038 
 1-3073239 
 1-3076442 
 1 -3079649 
 1-3082858 
 1-3086069 
 1-3089284 
 1-3092501 
 1-3095720 
 1-3098943 
 1-3102168 
 1-3105396 
 1-3108626 
 1-3111860 
 1-3115095 
 1-3118334 
 1-3121575 
 1-3124820 
 1-3128066 
 1-3131316 
 
 1-3134568 
 1-3137823 
 1-3141081 
 1-3144341 
 1-3147604 
 1-3150870 
 1-3154139 
 1-3157410 
 1-3160684 
 1-3163961 
 1-3167240 
 1-3170523 
 1-3173808 
 1-3177096 
 1-3180386 
 1-3183680 
 1-3186976 
 1-3190274 
 1-3193576 
 1-3196881 
 1-3200188 
 1-3203498 
 1-3206810 
 1-3210126 
 1-3213444 
 1-3216765 
 1-3220089 
 1-3223416 
 1-3226745 
 1-3230078 
 1-3233413 
 1-3236750 
 1-3240091 
 1-3243435 
 1-3246781 
 1-3250130 
 
 2339556 
 2341426 
 2343296 
 2345168 
 2347040 
 2348913 
 2350786 
 2352660 
 2354535 
 2356410 
 2358286 
 2360162 
 2362040 
 2363918 
 2365796 
 2367675 
 2369555 
 2371436 
 2373317 
 2375198 
 2377081 
 2378964 
 2380848 
 2382732 
 2384617 
 2386503 
 2388389 
 2390276 
 2392163 
 2394051 
 2395940 
 2397830 
 2399720 
 2401611 
 2403502 
 2405394 
 2407287 
 2409180 
 2411074 
 2412969 
 2414864 
 2416760 
 2418657 
 2420554 
 2422452 
 2424350 
 2426249 
 2428149 
 2430049 
 2431950 
 2433852 
 2435754 
 2437657 
 2439561 
 2441465 
 2443370 
 2445276 
 2447182 
 2449089 
 2450996 
 2452904 
 
 1870 
 1870 
 1872 
 !872 
 1873 
 1873 
 1874 
 1875 
 1875 
 1876 
 1876 
 1878 
 1878 
 1878 
 1879 
 1880 
 1881 
 1881 
 1881 
 1883 
 1883 
 1884 
 1884 
 1885 
 1886 
 1886 
 1887 
 1887 
 1888 
 1889 
 1890 
 1890 
 1891 
 1891 
 1892 
 1893 
 1893 
 1894 
 1895 
 1895 
 1896 
 1897 
 1897 
 1898 
 1898 
 1899 
 1900 
 1900 
 1901 
 1902 
 1902 
 1903 
 1904 
 1904 
 1905 
 1906 
 1906 
 1907 
 1907 
 1908 
 
 7660444 
 7658574 
 7656704 
 7654832 
 7652960 
 7651087 
 7649214 
 7647340 
 7645465 
 7643590 
 7641714 
 7639838 
 7637960 
 7636082 
 7634204 
 763232, 
 763044, 
 7628564 
 7626683 
 7624802 
 7622919 
 7621036 
 7619152 
 7617268 
 7615383 
 
 7613497 
 7611611 
 7609724 
 7607837 
 7605949 
 7604060 
 7602170 
 7600280 
 7598389 
 7596498 
 7594606 
 7592713 
 7590820 
 7588926 
 7587031 
 585136 
 7583240 
 7581343 
 7579446 
 7577548 
 7575650 
 7573751 
 7571851 
 7569951 
 7568050 
 7566148 
 7564246 
 7562343 
 7560439 
 7558535 
 7556630 
 7554724 
 7552818 
 7550911 
 7549004 
 7547096 
 
 Vers. 
 
 Secant 
 
 Cotan.JJTang, 
 
 ^osec. 
 
 Covers 
 
 Dif. Sine 
 De.ff. 4Q. 
 
40 Deg. 
 
 LOG. SINES, &C. 
 
 (329) 
 
 Sine 
 
 9-8080675 
 9-8082180 
 9-8083684 
 9-8085188 
 9-8086690 
 9-8088192 
 9-8089692 
 9-8091192 
 9-8092691 
 8094189 
 9-8095686 
 9-8097182 
 9-8098678 
 9-8100172 
 9-8101666 
 9-8103159 
 9-8104650 
 9-8106141 
 9-8107631 
 9-8109121 
 9-8110609 
 9-8112096 
 9-8113583 
 9-8115069 
 9-8116554 
 9-8118038 
 9-8119521 
 9-8121003 
 9-8122484 
 9-8123965 
 9-8125444 
 126923 
 9-8128401 
 9-8129878 
 9-8131354 
 9-8132829 
 9-8134303 
 
 9-8135777 
 ■8137250 
 9-8138721 
 9-8140192 
 9-8141662 
 42 9-8143131 
 9-8144600 
 9-8146067 
 9-8147534 
 9-8148999 
 9-8150464 
 9-8151928 
 
 9-8153391 
 9-8154854 
 9-8156315 
 9-8157776 
 9-8159235 
 9-81S0694 
 9-8162152 
 9-8163609 
 9-8165066 
 9-8166521 
 9-8167975 
 9-8169429 
 
 Dif. 
 
 1505 
 1504 
 1504 
 1502 
 1502 
 1500 
 1500 
 1499 
 1498 
 1497 
 1496 
 1496 
 1494 
 1494 
 1493 
 1491 
 1491 
 1490 
 1490 
 1488 
 1487 
 1487 
 1486 
 1485 
 1484 
 1483 
 1482 
 1481 
 1481 
 1479 
 1479 
 1478 
 1477 
 1476 
 1475 
 1474 
 1474 
 1473 
 1471 
 1471 
 1470 
 1469 
 1469 
 
 1467 
 1467 
 1465 
 1465 
 1464 
 1463 
 1463 
 1461 
 1461 
 1459 
 1459 
 1458 
 1457 
 1457 
 1455 
 1454 
 1454 
 
 Cosec. 
 
 10-1919325 
 10-1917820 
 10-1916316 
 10-1914812 
 10-1913310 
 10-1911808 
 10-1910308 
 10-1908808 
 10-1907309 
 10-1905811 
 10-1904314 
 10-1902818 
 10-1901322 
 
 10-1899828 
 10-1898334 
 10-1896841 
 10-1895350 
 10-1893859 
 10-1892369 
 10-1890879 
 10-1889391 
 10-1887904 
 10-1886417 
 10-1884931 
 10-1883446 
 10-1881962 
 10-1880479 
 10-1878997 
 10-1877516 
 10-1876035 
 10-1874556 
 
 10-1873077 
 10-1871599 
 10-1870122 
 10-1868646 
 10-1867171 
 10-1865697 
 10-1864223 
 10-1862750 
 10-1861279 
 10-1859808 
 10-1858338 
 10-1856869 
 10-1855400 
 10-1853933 
 10-1852466 
 i 0-1851001 
 10-1849536 
 10-1848072 
 10-1846609 
 10-1845146 
 10-1843685 
 10-1842224 
 10-1840765 
 10-1839306 
 10-1837848 
 10-1836391 
 10-1834934 
 10-1833479 
 10-1832025 
 10-1830571 
 
 Verseds, 
 
 9-3691334 
 9-3694804 
 9-3698272 
 9-3701739 
 9-3705205 
 9-3708669 
 9-3712131 
 9-3715592 
 9-3719051 
 9-3722508 
 9-3725965 
 9-3729419 
 9-3732872 
 
 9-3736323 
 9-3739773 
 9-3743221 
 9-3746668 
 9-3750113 
 9-3753557 
 9-3756999 
 9-3760440 
 9-3763879 
 9-3767316 
 9-3770752 
 9-3774186 
 9-3777619 
 9-3781050 
 9-3784480 
 9-3787908 
 9-3791335 
 9-3794760 
 9-3798184 
 9-3801606 
 9-3805026 
 9-3808445 
 9-3811863 
 9-3815279 
 9-3818693 
 9-3822106 
 9-3825517 
 9-3828927 
 9-3832335 
 9-3835742 
 
 9-3839147 
 9-3842551 
 9-3845953 
 9-3849354 
 9-3852753 
 9-3856151 
 
 a-3859547 
 9-3862942 
 9-3866335 
 9-3869727 
 9-3873117 
 9-3876506 
 
 9-3879893 
 9-3883278 
 9-3886662 
 9-3890045 
 3893426 
 9-3896806 
 
 Tang. 
 
 9-9238135 
 
 9-9240701 
 
 9-9243266 
 
 9-9245831 
 
 9-9248396 
 
 9-9250960 
 
 9-9253524 
 
 9-9256088 
 
 9-9258652 
 
 9-9261215 
 
 9-9263778 
 
 9-9266341 
 
 9-9268904 
 
 9-9271466 
 
 9-9274028 
 
 9-9276590 
 
 9-9279152 
 
 9-9281713 
 
 9-9284274 
 
 9-9286835 
 
 9-9289396 
 
 9-9291956 
 
 9-9294516 
 
 9-9297076 
 
 9-9299636 
 
 9-9302195 
 
 9-930475 
 
 9-9307314 
 
 9-9309872 
 
 9-9312431 
 
 9-9314989 
 
 9-9317547 
 9-932010 
 9-9322662 
 9-9325220 
 9-9327777 
 9-9330334 
 9-9332890 
 9-9335446 
 9-9338003 
 9-9340559 
 9-9343114 
 9-9345670 
 9-934822 
 9-9350780 
 9-9353335 
 9-9355889 
 9-9358444 
 9360998 
 9-9363552 
 9-9366105 
 9-9368659 
 9-9371212 
 9-9373765 
 9-9376318 
 
 9-9378871 
 9-9381423 
 
 9383975 
 9-9386527 
 9-9389079 
 
 9391631 
 
 Dif. 
 
 2566 
 2565 
 2565 
 2565 
 2564 
 2564 
 2564 
 2564 
 2563 
 2563 
 2563 
 2563 
 2562 
 2562 
 2562 
 2562 
 2561 
 2561 
 2561 
 2561 
 2560 
 2560 
 2560 
 2560 
 2559 
 2560 
 2559 
 2558 
 2559 
 2558 
 2558 
 2558 
 2557 
 2558 
 2557 
 2557 
 2556 
 
 2556 
 2557 
 2556 
 2555 
 2556 
 2555 
 2555 
 2555 
 2554 
 2555 
 2554 
 2554 
 2553 
 2554 
 2553 
 2553 
 2553 
 2553 
 2552 
 2552 
 2552 
 2552 
 2552 
 
 Cotang. 
 
 10-0761865 
 10-0759299 
 10-0756734 
 10-0754169 
 10-0751604 
 10-0749040 
 10-0746476 
 10-0743912 
 10-0741348 
 10-0738785 
 10-0736222 
 10-0733659 
 10-0731096 
 10-0728534 
 10-0725972 
 10-0723410 
 10-0720848 
 10-0718287 
 10-0715726 
 
 10-0713165 
 
 10-0710604 
 
 10-0708044 
 
 10-0705484 
 
 10-0702924 
 
 10-0700364 
 
 10-0697805 
 
 10-0695245 
 
 10-0692636 
 
 10-0690128 
 
 10-0687569 
 
 10-068501 
 
 10-0682453 
 
 10-0679895 
 
 10-0677338 
 
 10-0674780 
 
 10-0672223 
 
 10-0669666 
 
 Covers. 
 
 9-5529265 
 9-5526555 
 9-5523845 
 9-5521133 
 9-5518420 
 9-5515706 
 9-5512992 
 9-5510276 
 5507559 
 550484 
 9-5502122 
 9-5499402 
 9-5496681 
 9-5493959 
 9-5491236 
 9-5488511 
 9-5485786 
 9-5483060 
 9-5480333 
 9-5477604 
 9-5474875 
 9-5472145 
 9-5469413 
 9-5466681 
 9-5463947 
 9-5461212 
 9-5458477 
 9-5455740 
 9-5453002 
 9-5450264 
 9-5447524 
 9-5444783 
 9-5442041 
 9-5439298 
 9-5436554 
 9-5433809 
 9-5431063 
 
 Secant 
 
 10-0667110 9-5428316 
 
 10-0664554 
 10-0661997 
 100659441 
 10-0656886 
 10-0654330 
 10-0651775 
 10-0649220 
 10-0646665 
 10-0644111 
 10-0641556 
 10-0639002 
 10-0636448 
 10-0633895 
 10-0631341 
 10-0628788 
 10-0626235 
 10-0623682 
 10-0621129 
 10-0618577 
 0-06160:^5 
 10-0613473 
 10-0610921 
 10-0608369 
 
 9-5425568 
 9-5422818 
 9-5420068 
 9-5417317 
 9-5414564 
 9-5411811 
 9-5409056 
 9-5406301 
 9-5403544 
 9-5400786 
 9-5398027 
 9-5395268 
 9-5392507 
 9-5389745 
 9-5386982 
 9-5384218 
 9-5381452 
 
 9-5378686 
 9-5375919 
 9-5373151 
 9-5370381 
 9-5367611 
 9-5364839 
 
 10-1157460 
 
 10-1158521 
 
 10-1159582 
 
 10-1160643 
 
 10-1161706 
 
 10-1162768 
 
 10-1163832 
 
 10-1164896 
 
 10-1165961 
 
 10-1167026 
 
 10-1168092 
 
 10-1169159 
 
 10-1170226 
 
 10-1171294 
 
 10-1172362 
 
 10-1173432 
 
 10-1174501 
 
 10-1175572 
 
 10-1176643 
 
 10-1177715 
 
 10-1178787 
 
 10-1179860 
 
 10-1180933 
 
 10-1182008 
 
 10-1183082 
 
 10-1184158 
 
 10-1185234 
 
 10-1186311 
 
 10-1187388 
 
 10-1188466 
 
 10-1189545 
 
 10-1190624 
 
 10-1191704 
 
 10-1192785 
 
 10-1193866 
 
 10-1194948 
 
 10-1196030 
 
 10-1197113 
 
 10-1198197 
 
 10-1199281 
 
 10-1200366 
 
 10-1201452 
 
 10-1202538 
 
 10-1203625 
 
 10-1204713 
 
 10-1205801 
 
 10-1206890 
 
 10-1207979 
 
 10-1209070 
 
 10-1210160 
 
 10-1211252 
 
 10-1212344 
 
 10-1213437 
 
 10-1214530 
 
 10-1215624 
 
 10-1216719 
 
 10-1217814 
 
 10-1218910 
 
 10-1220006 
 
 10-1221104 
 
 10-1222201 
 
 Dit. 
 
 1061 
 1061 
 1061 
 1063 
 1062 
 1064 
 1064 
 1065 
 1065 
 1066 
 1067 
 1067 
 1068 
 1068 
 1070 
 1069 
 1071 
 1071 
 1072 
 
 1072 
 1073 
 1073 
 1075 
 1074 
 1076 
 1076 
 1077 
 1077 
 1078 
 1079 
 1079 
 1080 
 1031 
 1081 
 1082 
 1082 
 1083 
 1084 
 1084 
 1085 
 1086 
 1086 
 1087 
 1088 
 1088 
 1089 
 1089 
 1091 
 1090 
 1092 
 092 
 1093 
 1093 
 1094 
 1095 
 
 Cosine 
 
 9-884254060 
 
 9-8841479 
 9-8840418 
 
 8839357 
 9-8838294 
 9-8837232 
 9-8836168 
 9-8835104 
 9-8834039 
 9-8832974 
 
 8831908 
 9-8830841 
 9-8829774 
 9-8828706 
 9-8827638 
 9-8826568 
 9-8825499 
 9-8824428 
 9-8823357 
 9-882228 
 9-8821213 
 9-8820140 
 9-8819067 
 9-8817992 
 9-8816918 
 9-8815842 
 9-8814766 
 9-8813689 
 9-8812612 
 9-8811534 
 9-8810455 
 
 8809376 
 9-8808296 
 9-8807215 
 9-8806134 
 9-8805052 
 9-880397U 
 
 9-8802887 
 9-8801803 
 
 9-8800719 
 
 1095 
 1096 
 1096 
 1098 
 1097 
 
 9-87996o4 
 9-8798548 
 9-8797462 
 
 9-8796375 
 9-8795287 
 9-8794199 
 9-8793110 
 9-8792021 
 9-8790930 
 9-8789840 
 9-8788748 
 9-8787656 
 9-8786563 
 9-8785470 
 9-8784376 
 9-8783281 
 9-8782186 
 9-8781090 
 9-8779994 
 9-8778896 
 9-8777799 
 
 59 
 
 58 
 57 
 56 
 55 
 54 
 53 
 52 
 51 
 50 
 49 
 48 
 47 
 46 
 45 
 44 
 43 
 42 
 41 
 40 
 39 
 38 
 37 
 iG 
 1-35 
 ^4 
 33 
 32 
 
 n 
 
 29 
 
 28 
 ■2) 
 •26 
 25 
 24 
 23 
 
 21 
 20 
 19 
 li 
 
 17 
 16 
 15 
 14 
 13 
 12 
 11 
 10 
 
 9 
 
 8 
 
 7 
 
 6 
 
 4 
 3 
 
 2 
 
 Cosine Dif. 
 
 Secant Covers. Cotang. Dif. Tang. Verseds. Cosec. Dif. . Sine 
 
 3 U 
 
 Deg. 49. 
 
(330) 41 Deg. NATURAL SINES, &c. 
 
 Tab. 10. 
 
 Sine 
 
 10 
 
 II 
 
 ['2 
 
 14 
 15 
 16 
 17 
 18 
 19 
 20 
 21 
 22 
 23 
 24 
 
 25 
 26 
 27 
 28 
 29 
 30 
 31 
 32 
 33 
 34 
 35 
 
 6562785 
 6564980 
 6567174 
 6569367 
 6571560 
 6573752 
 6575944 
 6578135 
 
 >80326 
 6582516 
 
 8470fi 
 6586895 
 6589083 
 6591271 
 6593458 
 6595645 
 6597831 
 6600017 
 6602202 
 6604386 
 6606570 
 6608754 
 6610936 
 6613119 
 6615300 
 6617482 
 6619662 
 6621842 
 6624022 
 6626200 
 6628379 
 6630557 
 6632734 
 6634910 
 6637087 
 
 Dif. 
 
 366639262 
 
 6641437 
 
 6643612 
 
 6645785 
 
 6647959 
 
 6650131 
 
 6652304 
 
 6654475 
 
 6656646 
 
 6658817 
 
 6660987 
 
 6663156 
 
 6665325 
 
 6667493 
 
 666966] 
 
 6671828 
 
 6673994 
 
 6676160 
 
 6678326 
 
 6680490 
 
 6682655 
 
 6684818 
 
 6686981 
 
 6689144 
 
 6691306 
 
 2195 
 2195 
 194 
 2193 
 2193 
 2192 
 2192 
 2191 
 2191 
 2190 
 2190 
 2189 
 2188 
 2188 
 2187 
 2187 
 2186 
 2186 
 2185 
 2184 
 2184 
 2184 
 2182 
 2183 
 2181 
 2182 
 2180 
 2180 
 2180 
 2178 
 2179 
 2178 
 2177 
 2176 
 2177 
 2175 
 2175 
 2175 
 2173 
 2174 
 2172 
 2173 
 2171 
 2171 
 2171 
 2170 
 2169 
 2169 
 2168 
 2168 
 2167 
 2166 
 21 
 
 2166 
 2164 
 2165 
 2163 
 2163 
 2163 
 2162 
 
 Covers 
 
 Cosine 
 
 3439410 
 3437215 
 3435020 
 3432826 
 3430633 
 3428440 
 3426248 
 3424056 
 3421865 
 3419674 
 3417484 
 3415294 
 3413105 
 
 3410917 
 
 3408729 
 
 3406542 
 
 3404355 
 
 3402169 
 
 3399983 
 
 3397798 
 
 3395614 
 
 3393430 
 
 3391246 
 
 3389064 
 
 3386881 
 
 3384700 
 
 3382518 
 
 3380338 
 
 3378158 
 
 3375978 
 
 3373800 
 
 3371621 
 
 3369443 
 
 3367266 
 
 3365090 
 
 3362913 
 
 3360738 
 
 3358563 
 
 3356388 
 
 3354215 
 
 3352041 
 
 3349869 
 
 3347696 
 
 3345525 
 
 3343354 
 
 3341183 
 
 3339013 
 
 3336844 
 
 3334675 
 
 3332507 
 
 3330339 
 
 3328172 
 
 3326006 
 
 3323840 
 
 3321674 
 
 3319510 
 
 3317345 
 
 3315182 
 
 3313019 
 
 3310856 
 
 3308694 
 
 .osec. 
 
 Dif. 
 
 1-5242531 
 1-5237433 
 1-5232339 
 1-5227250 
 1-5222166 
 1-5217087 
 1-5212012 
 
 1-5206942 
 1-5201876 
 1-5196815 
 1-5191759 
 1-5186708 
 1-5181661 
 1-5176619 
 1-5171581 
 1-5166548 
 1-5161620 
 1-5156496 
 1-5151477 
 1-5146462 
 1-5141452 
 1-5136447 
 1-5131446 
 1-5126450 
 1-5121459 
 1-5116472 
 1-5111489 
 1-510651 
 1-5101538 
 1-5096569 
 5091605 
 1-5086645 
 1-5081690 
 1-5076739 
 1-5071793 
 1 -5066852 
 I -5061915 
 1-5056982 
 1-5052054 
 1-5047131 
 1-5042211 
 1-5037297 
 1-5032387 
 1-5027481 
 1-5022580 
 1-5017683 
 1-5012791 
 1-5007903 
 1-5003020 
 1-4998141 
 1-4993267 
 1-4988397 
 1-4983531 
 1-4978670 
 1-4973813 
 1-4968961 
 1-4964113 
 1-4959270 
 1-4954431 
 1-4949596 
 1-4944765 
 
 Tang. 
 
 Vers. 
 
 8692867 
 8697976 
 8703087 
 8708200 
 8713316 
 8718435 
 8723556 
 8728680 
 8733806 
 8738935 
 8744067 
 8749201 
 8754338 
 
 8759478 
 8764620 
 8769765 
 8774912 
 8780062 
 8785215 
 8790370 
 8795528 
 8800688 
 8805862 
 8811017 
 8816186 
 
 8821357 
 
 8826531 
 
 8831707 
 
 8836886 
 
 8842068 
 
 8847253 
 
 8852440 
 
 8857630 
 
 8862822 
 
 8868017 
 
 8873215 
 
 8878415 
 
 8883619 
 
 8888825 
 
 8894033 
 
 8899244 
 
 8904458 
 
 8909675 
 
 8914894 
 
 8920116 
 
 8925341 
 
 8930569 
 
 8.935799 
 
 8941032 
 
 8946268 
 
 8951506 
 
 8956747 
 
 8961991 
 
 8967238 
 
 8972487 
 
 8977739 
 
 8982994 
 
 8938251 
 
 8993512 
 
 8998775 
 
 8904040 
 
 Cotane. 
 
 1-1503684 
 1-1496928 
 1-1490176 
 1-1483429 
 1-1476687 
 1-1469949 
 1-1463215 
 1-1456486 
 
 Secant 
 
 Secant 
 
 Cotan. 
 
 1449762 
 1-1443041 
 1-1436326 
 1-1429615 
 1-1422908 
 1-1416206 
 1-1409508 
 1-1402815 
 1-1396126 
 1-1389441 
 1-1382761 
 1-1376086 
 1-1369414 
 1-1362747 
 1-1356085 
 
 1349427 
 1-1342773 
 1-1336124 
 1-1329479 
 1-1322839 
 1-1316203 
 1-1309571 
 1- 1302944 
 1-1296321 
 1-1289702 
 1-1283088 
 1-1276478 
 1-1269872 
 1-1263271 
 1-1256674 
 1-1250081 
 M 243493 
 1-1236909 
 1-1230329 
 1-1223754 
 M217183 
 1-1210616 
 1-1204053 
 1-1197495 
 1-1190941 
 1-1184391 
 
 1-1177846 
 1-1171305 
 1-1164768 
 I -1158235 
 1-1151706 
 t-1 146182 
 1-1138662 
 1-1132146 
 1-1125635 
 1-1119127 
 1-1112624 
 M106125 
 
 1-3250130 
 1-3253482 
 1-3256837 
 1-3260194 
 1-3263554 
 1-3266918 
 1-3270284 
 1-3273653 
 
 1-3277024 
 1 -3280399 
 1-3283776 
 1-3287156 
 1-3290539 
 1-3293925 
 1-3297314 
 1-3300706 
 1-3304100 
 1-3307497 
 1-331089^ 
 
 ■3314301 
 1-3317707 
 1-3321116 
 1-3324527 
 1-3327942 
 
 3331359 
 1-3334779 
 1-3338203 
 1-3341629 
 1-3345058 
 1-3348489 
 1-3351924 
 1-3355362 
 1-3358802 
 
 3362246 
 1-3365692 
 1-3369141 
 1-3372594 
 1-3376049 
 1-3379507 
 1-3382968 
 1-3386432 
 1-3389898 
 1-3393368 
 1-3396841 
 1-3400316 
 1-3403795 
 1-3407276 
 1-3410761 
 1-3414248 
 
 1-3417738 
 1-3421232 
 1-3424728 
 1-3428227 
 1-3431729 
 1-3435234 
 1-3438742 
 1-3442253 
 1-3445767 
 1-3449284 
 1-3452804 
 1-3456327 
 
 Vers. 
 
 Tang. 
 
 2452904 
 2454813 
 2456722 
 2458632 
 2460543 
 2462454 
 2464366 
 
 2466279 
 2468192 
 2470106 
 2472020 
 2473936 
 2475851 
 
 '2477767 
 
 2479684 
 
 2481602 
 
 2483520 
 
 2485439 
 
 2487359 
 
 2489279 
 
 2491200 
 
 2493121 
 
 2495043 
 
 2496966 
 
 2498889 
 
 2500813 
 
 2502738 
 
 2504663 
 
 2606589 
 
 2508516 
 
 2510443 
 
 2512371 
 
 2514299 
 
 2516228 
 
 2518158 
 
 2520088 
 
 2522019 
 
 2523951 
 
 2525883 
 
 2527816 
 
 2529749 
 
 2531683 
 
 2533618 
 
 2535554 
 
 2537490 
 
 2539426 
 
 2541364 
 
 2543301 
 
 2545240 
 
 2547J79 
 
 2549119 
 
 2551059 
 
 2553001 
 
 2554942 
 
 2556885 
 
 2558827 
 2560771 
 2562716 
 2564660 
 2666606 
 2568552 
 
 Dif. Cosine 
 
 Cosec. 
 
 Covers 
 
 1909 
 1909 
 1910 
 1911 
 1911 
 1912 
 1913 
 1913 
 1914 
 1914 
 1915 
 1916 
 1916 
 
 1917 
 1918 
 1918 
 1919 
 1920 
 1920 
 1921 
 1921 
 1922 
 1923 
 1923 
 1924 
 1925 
 1925 
 1926 
 1927 
 1927 
 928 
 1928 
 1929 
 1930 
 1930 
 1931 
 1932 
 1932 
 1933 
 1933 
 1934 
 1935 
 1936 
 1936 
 1936 
 1938 
 1937 
 1939 
 1939 
 1940 
 1940 
 1942 
 1941 
 943 
 1942 
 
 1944 
 1944 
 1945 
 1946 
 1946 
 
 7547096 
 7545187 
 7543278 
 7541368 
 7539457 
 7537546 
 7535634 
 7533721 
 7531808 
 7529894 
 7527980 
 7526065 
 7524149 
 7522233 
 7520316 
 7518398 
 7516480 
 7514561 
 7512641 
 7510721 
 7508800 
 7506879 
 7504957 
 7503034 
 7501111 
 
 7499187 
 7497262 
 7495337 
 7493411 
 7491484 
 7489557 
 7487629 
 7485701 
 7483772 
 7481842 
 7479912 
 7477981 
 7476049 
 7474117 
 7472184 
 7470251 
 7468317 
 7466382 
 
 7464446 
 7462510 
 7460574 
 7458636 
 7456699 
 7454760 
 7452821 
 7450881 
 7448941 
 7446999 
 7445058 
 7443115 
 7441173 
 7439229 
 7437285 
 7435340 
 7433394 
 7431448 
 
 Dif. 
 
 Sine 
 
 60 
 
 59 
 
 58 
 
 57 
 
 56 
 
 55 
 
 54 
 
 53 
 
 52 
 
 51 
 
 50 
 
 49 
 
 48 
 
 47' 
 
 46 
 
 45 
 
 44 
 
 43 
 
 42 
 
 41 
 
 40 
 
 39 
 
 38 
 
 37 
 
 36 
 
 35 
 
 34 
 
 33 
 
 32 
 
 31 
 
 30 
 
 29 
 
 28 
 
 27 
 
 26 
 
 25 
 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 
 9 
 
 18 
 
 17 
 
 16 
 
 16 
 
 14 
 
 13 
 
 12 
 
 11 
 
 10 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 
 4 
 
 3 
 
 2 
 
 1 
 
 _0 
 
 T 
 
 Deg. 48. 
 
41 Beg. 
 
 LOG. SINES, Sec. 
 
 (331) 
 
 Sine Dif. Cosec. Verseds. Tang. Dif. Cotang. Covers. Secant Dil. Cosine 
 
 9-8 169429 
 9-8170882 
 9-8172334 
 9-8173785 
 9-8175235 
 9-8176685 
 9-8178133 
 9-8179581 
 9-8181028 
 9-8182474 
 9-8183919 
 9-8185364 
 9-8186807 
 9-8188250 
 9-8189692 
 9-8191133 
 9-8192573 
 9-8194012 
 9-8195450 
 9-8196888 
 9-8198325 
 9-8199761 
 9-8201196 
 8202630 
 9-8204063 
 9-8205496 
 9-8206927 
 9-8208358 
 9-8209788 
 9-8211217 
 9-8212646 
 9-82l4o73 
 9-8215500 
 9-8216926 
 9-8218351 
 9-8219775 
 9-8221198 
 9-8222621 
 9-8224042 
 9-8225463 
 9-8226883 
 9-8228302 
 9-8229721 
 
 9-8231138 
 9-8232555 
 8233971 
 8235386 
 9-8236800 
 8238213 
 9-8239626 
 9-8241037 
 9-8242448 
 9-8243858 
 9-8245267 
 9-8246676 
 9-8248083 
 9-8249490 
 9-8250896 
 9-8252301 
 9-8263705 
 9-8255109 
 
 1453 
 1452 
 1451 
 1450 
 1450 
 1448 
 1448 
 1447 
 1446 
 1445 
 1445 
 1443 
 1443 
 1442 
 1441 
 1440 
 1439 
 1438 
 1438 
 1437 
 1436 
 1435 
 1434 
 1433 
 1433 
 1431 
 1431 
 1430 
 1429 
 1429 
 1427 
 1427 
 1426 
 1425 
 1424 
 1423 
 1423 
 1421 
 1421 
 1420 
 1419 
 1419 
 1417 
 
 1417 
 1416 
 1415 
 1414 
 1413 
 1413 
 1411 
 1411 
 1410 
 1409 
 1409 
 1407 
 1407 
 1406 
 1405 
 1404 
 1404 
 
 1830571 
 1829118 
 1827666 
 1826215 
 1824765 
 1823315 
 1821867 
 1820419 
 1818972 
 1817526 
 1816081 
 1814636 
 1813193 
 1811750 
 1810308 
 1808867 
 1807427 
 1805988 
 1804550 
 1803112 
 1801675 
 1800239 
 1798804 
 1797370 
 1795937 
 1794504 
 1793073 
 1791642 
 1790212 
 1788783 
 1787354 
 1785927 
 1784500 
 1783074 
 1781649 
 1780225 
 1778802 
 
 1777379 
 1775958 
 1774537 
 1773117 
 1771698 
 1770279 
 1768862 
 1767445 
 1766029 
 1764614 
 1763200 
 1761787 
 1760374 
 1758963 
 1757552 
 1756142 
 1754733 
 1753324 
 
 1751917 
 1750510 
 1749104 
 1747699 
 1746295 
 1744891 
 
 3896806 
 3900184 
 3903561 
 3906936 
 3910309 
 3913682 
 3917052 
 
 9 
 
 9 
 
 9 
 
 9 
 
 9 
 
 9' 
 
 9' 
 
 9-3920421 
 
 9-3923789 
 
 9-3927155 
 
 9-3930520 
 
 9-3933883 
 
 9-3937245 
 
 9-3940605 
 
 9-3943964 
 
 9-3947321 
 
 9-3950677 
 
 9-3954031 
 
 9-3957384 
 
 9-3960735 
 
 9-3964085 
 
 9-3967434 
 
 9-3970781 
 
 9-3974126 
 
 9-3977470 
 
 9-3980813 
 
 9-3984154 
 
 9-3987493 
 
 9-3990831 
 
 9-3994168 
 
 9-3997503 
 
 9-4000837 
 
 9-4004169 
 
 9-4007500 
 
 9-4010829 
 
 9-4014157 
 
 9-4017484 
 
 9-4020809 
 
 9-4024132 
 
 9-4027454 
 
 9-4030775 
 
 9*4034094 
 
 9-4037412 
 
 4040728 
 9-4044043 
 9-4047356 
 9-4050668 
 9-4053978 
 9-4057287 
 9-4060595 
 9-4063901 
 9-4067206 
 
 4070509 
 9-4073811 
 9-4077111 
 9-4080410 
 9-4083708 
 
 -4087004 
 9-4090298 
 9-4093591 
 9-4096883 
 
 •9391631 
 •9394182 
 •9396733 
 •9399284 
 •9401835 
 •9404385 
 •9406936 
 •9409486 
 •9412036 
 ■9414585 
 •9417135 
 •9419684 
 •9422233 
 •9424782 
 •9427331 
 •9429879 
 •9432428 
 •9434976 
 •9437524 
 •9440072 
 •9442619 
 •9445166 
 •9447714 
 •9450261 
 •9452807 
 ■9455354 
 •9457900 
 •9460447 
 •9462993 
 •9465539 
 •9468084 
 •9470630 
 •9473175 
 •9475720 
 •9478265 
 •9480810 
 •9483355 
 •9485899 
 •9488443 
 •9490987 
 ■9493531 
 •9496075 
 •9498619 
 •9501162 
 •9503705 
 •9606248 
 •9508791 
 9611334 
 •9513876 
 
 9516419 
 •9518961 
 ■9521503 
 9524045 
 ■9526587 
 ■9529128 
 ■9531670 
 9634211 
 •9536752 
 •9539293 
 •9541834 
 •9544374 
 
 2551 
 2551 
 2551 
 2551 
 2550 
 2551 
 2650 
 2550 
 2549 
 2550 
 2549 
 2649 
 2549 
 2549 
 2548 
 2549 
 2548 
 2548 
 2548 
 2547 
 2547 
 2548 
 2547 
 2546 
 2547 
 2546 
 2547 
 2546 
 2546 
 2545 
 2546 
 2545 
 2546 
 2545 
 2545 
 2645 
 2544 
 2544 
 2644 
 2544 
 2544 
 2544 
 2543 
 2543 
 2543 
 2543 
 2543 
 2542 
 2543 
 2542 
 2542 
 2542 
 2542 
 2541 
 2542 
 2541 
 2541 
 2541 
 2541 
 2540 
 
 10-0608369 
 
 10-0605818 
 
 10-0603267 
 
 10-0600716 
 
 10-0698165 
 
 10-0595615 
 
 10-0593064 
 
 10-0590514 
 
 10-0587964 
 
 10-0585415 
 
 10-0582865 
 
 10-0580316 
 
 10-0577767 
 
 10-0575218 
 
 10-0572669 
 
 10-0570121 
 
 10-0567572 
 
 10-0565024 
 
 10-0562476 
 
 10-0559928 
 
 10-0557381 
 
 10-0554834 
 
 10-0552286 
 
 10-0549739 
 
 10-0547193 
 
 10-0544646 
 
 10-0542100 
 
 10-0539553 
 
 10-0537007 
 
 10-0534461 
 
 10-0531916 
 
 10-0529370 
 
 10-0526825 
 
 10-0524280 
 
 10-052173 
 
 10-0519190 
 
 10-0516645 
 
 10-0614101 
 
 10-0611557 
 
 10-0509013 
 
 10-0606469 
 
 10-0603925 
 
 10-0501381 
 
 10-0498838 
 
 10-0496295 
 
 10-0493752 
 
 10-0491209 
 
 10-0488666 
 
 10-0486124 
 
 10-0483581 
 
 10-0481039 
 
 tO-0478497 
 
 10-0475955 
 
 10-0473413 
 
 10-0470872 
 
 10-0468330 
 
 10-0465789 
 
 10-0463248 
 
 10-0460707 
 
 10-0458166 
 
 10-0455626 
 
 5364839 
 6362067 
 5359293 
 5356518 
 5353742 
 5350965 
 5348187 
 
 5345408 
 
 5342628 
 
 533984 
 
 5337065 
 
 5334281 
 
 5331497 
 
 5328712 
 
 5325925 
 
 6323137 
 
 5320349 
 
 5317559 
 
 5314768 
 
 581 1976 
 
 5309183 
 
 6306389 
 
 5303594 
 
 9-5300797 
 
 9-5298000 
 
 9-5295201 
 
 9-5292402 
 
 9-5289601 
 
 9-5286799 
 
 9-5283997 
 
 9-5281193 
 
 9-5278388 
 
 9-5275682 
 
 y-5272774 
 
 9-5269966 
 
 9-5267157 
 
 9-5264346 
 
 9-5261535 
 
 9-5258722 
 
 9-5255908 
 
 9'5253094 
 
 9-5250278 
 
 9-5247461 
 
 9-5244643 
 
 9-6241823 
 
 5239003 
 
 9-5236182 
 
 9-5233359 
 
 9-5230536 
 
 9-5227711 
 9-5224885 
 9-5222058 
 9-521 923'J 
 9-5216401 
 9-5213571 
 9-5210739 
 9-5207907 
 9-5205073 
 9-5202239 
 9-5199403 
 9-5196566 
 
 1222201 
 
 1223300 
 
 1 224399 
 
 1225499 
 
 1226599 
 
 1227700 
 
 1228802 
 
 1229904 
 
 1231007 
 
 12321 
 
 1233215 
 
 1234320 
 
 1235426 
 
 1236532 
 
 1237639 
 
 1238747 
 
 1239855 
 
 1240964 
 
 124207 
 
 1243184 
 
 1244294 
 
 1245406 
 
 1246518 
 
 1247631 
 
 1248744 
 
 1249858 
 
 1250973 
 
 1252088 
 
 1253205 
 
 1254321 
 
 1255439 
 
 1256567 
 1257675 
 1258795 
 1269915 
 1261035 
 1262156 
 1263278 
 1264401 
 1265524 
 1266648 
 1267773 
 1268898 
 1 270024 
 1271151 
 1272278 
 1273406 
 1274534 
 1275663 
 1276793 
 1277924 
 1279055 
 1280187 
 1281319 
 1282452 
 
 1283586 
 1284721 
 1285866 
 1286992 
 1288128 
 1289265 
 
 1099 
 1099 
 
 nop 
 
 1100 
 
 no 
 
 1102 
 1102 
 1103 
 1104 
 1104 
 1105 
 1106 
 1106 
 
 1107 
 1108 
 1108 
 1109 
 1109 
 
 nil 
 
 1110 
 1112 
 1112 
 1113 
 1113 
 1114 
 1116 
 1115 
 1117 
 1116 
 1118 
 1118 
 1118 
 1120 
 1120 
 1120 
 1121 
 1122 
 
 1123 
 1123 
 1124 
 1125 
 1125 
 1126 
 1127 
 1127 
 1128 
 1128 
 1129 
 1130 
 1131 
 1131 
 1132 
 1132 
 1133 
 1134 
 
 1135 
 1135 
 1136 
 1136 
 1137 
 
 9-8777799 
 9-8776700 
 9-8775601 
 9-8774501 
 9-8773401 
 9-8772300 
 9-8771198 
 9-8770096 
 9-8768993 
 9-8767889 
 9-8766785 
 9-8765680 
 9-8764574 
 
 9-8763468 
 
 9-8762361 
 
 9-8761253 
 
 9-8760145 
 
 9-8759036 
 
 9-8757927 
 
 9-87568 
 
 9-8755706 
 
 9-8754594 
 
 9-8753482 
 
 9-8752369 
 
 9-8751256 
 
 1641 
 40 
 39 
 
 38 
 37 
 36 
 
 9-8750142 
 9-8749027 
 9-8747912 
 9-8746795 
 9-8745679 
 9-8744561 
 9-8743443 
 9-8742325 
 9-8741205 
 9-8740085 
 9-8738965 
 9-8737844 
 9-8736722 
 9-8735599 
 9-8734476 
 9-8733352 
 9-8732227 
 9-8731102 
 
 9-8729976 
 
 8728849 
 9-8727722 
 9-8726594 
 9-8725466 
 9-8724337 
 
 9-8723207 
 9-8722076 
 9-8720945 
 9-8719813 
 9-8718681 
 9-8717548 
 9-8716414 
 9-8715279 
 9-8714144 
 9-8713008 
 9-8711872 
 9-8710735 
 
 Cosine Dif. Secant Covers. Cotang. Dit 
 
 Tang. 
 
 Verseds. 
 3U2 
 
 Cosec. 
 
 Dif. 
 
 Sine 
 
 Deg. 48. 
 
(3SQ) 42 Deg. natural sines, &c. 
 
 Tab. 10. 
 
 Sine 
 
 6*691306' 
 6693468 
 6695628 
 6697789 
 6699948 
 6702108 
 6704266 
 
 7 6706424 
 
 8 6708582 
 
 9 6710739 
 10 6712895 
 
 16715051 
 
 12 6717206 
 
 13 6719361 
 
 14 6721515 
 
 15 6723668 
 166725821 
 17 6727973 
 
 3282794 
 
 3280639 1 
 
 3278485 1 
 
 3276332 1 
 
 3274179 1 
 
 3272027 
 
 18 6730125 215^3269875 
 
 1'9 6732276 r,,r;, 3267724 
 
 20 6734427 oi^n 3265573 
 
 21 6736577 9 J ?J^ 3263423 
 
 22 6738727 o,^" 3261273 
 
 25 
 
 6740876 
 6743024 
 6745172 
 
 26 6747319 2147 
 2146 
 
 28 
 
 30 
 
 39 
 
 2162 
 2160 
 2161 
 2159 
 2160 
 2158 
 2158 
 
 Dif. Covers Cosec 
 
 3308694 I 
 3306532 1 
 3304372 1 
 3302211 
 3300052 1 
 3297892 1 
 3295734 1 
 ,-,,^„ 3293576 1 
 ;^; 3291418 I 
 ;J^^ 3289261 ' 
 :; ^^32871 05 t 
 ;:;j° 3284949 1 
 
 67516122145 
 2145 
 
 6755902 
 
 9144 
 
 32 6760190 0140 3239810 
 
 33 6762333 2 lt3237667 
 
 34 6764476 2 42 3235524 
 
 35 6766618 2 49 3233382 
 
 36 6768760 0,47 3231240 
 
 6775181 
 
 2155 
 2155 
 2154 
 2153 
 2153 
 2152 
 2152 
 
 2149 
 
 2148 
 2148 
 2147 
 
 2144 
 
 3259124 
 3256976 
 
 3254828 
 3252681 
 3250534 
 3248388 
 3246243 
 3244098 
 
 2141 
 
 37 6770901 9140 3229099 
 
 38 6773041 :;;.„ 3226959 
 
 2140 
 2139 
 
 40 6777320;; ^"3222680 
 
 41 6779459 ;^fi 3220541 
 
 42 6781597 2137 3218403 
 
 2137 
 2136 
 
 CosinelDifJ Vers. 
 
 3224819 
 
 1-4778431 
 
 1'4773755 9195471 
 
 1-4769084 9200841 
 
 1-4764417 9206214 1-0862228 
 1 -4759754 921 1 590 1 -0855889 
 1-4755095 9216969 1-0849554 
 
 1-4750440 .0222350 
 
 1-4745790 9227734 1-0836896 
 
 3216266 1-4741144 9233122 1-0830573 
 
 44 6785871, .,o.. 3214129 1-4786502 9238512 1-0824254 
 
 43 6783734 
 446785871., 
 
 45 6788007 ^Jofi 321 1993 1-4731864 9243905 1-0817939 
 
 46 6790143 0,0.3209857 1-4727230 9249301 1-0811628 
 
 47 6792278 9! or 3207722 1-4722600 
 
 48 6794413 2134 3205587 1-4717975 
 
 49 6796547 9 , ^a 3203453 1 -47 1 3354 
 
 50 6798681 9 50 3201319 '-i'^^ot'^^ 
 
 51 68008 13 9 „ 3199187 
 
 52 68029469^^3197054 
 6805078 9 Jf 3194922 
 6807209 2130 3192791 
 6809339 9, on 319066! 
 681 14.69 9^" 3188531 
 6813599;^" 3186401 
 68 1 5728 2 ;^ 3 184272 
 6817856.,;;° 3182144 
 6819984^^*^3180016 
 
 Tang. Cotang. 
 
 •4944765 9004040 1-1106125 
 •4939940 9009309 M099630 
 •4935118 9014580 1-1093140 
 •4930301 9019854 M 086653 
 •4925488 9025131 1-1080171 
 -4920680 9030411 M073693 
 -4915876 9035693 M067219 
 4911076 9040979 1-1060750 
 •4906280 9046267 M054284 
 •4901489 9051557 M047823 
 •4896703 9056851 M041365 
 •489 1 920 9062 1 47 1 • 1 0349 1 2 
 •4887142 9067446 M028463 
 •4882369 9072748 M022019 
 •4877599 9078053 1-1015578 
 -4872834 9083360 1-1009141 
 -4868073 9088671 1-1002709 
 1-4863317 9093984 1-0996281 
 1-4858565 9099300 1-0989857 
 1-4853817 9104619 1-0983436 
 1-4849073 9109940 1-0977020 
 1 ^4844334 9 1 1 5265 1 -0970609 
 1-4839599 9120592 1-0964201 
 1-4834868 9125922 1-0957797 
 1-4830142 9131255 1-0951397 
 1 -4825420 9 1 3659 1 1 -0945002 
 1-4820702 9141929 1-0938610 
 1-4815988 9147270 1-0932223 
 1-4811278 9152615 1-0925840 
 4806573 9157962 1-0919460 
 1-4801872 9163312 1-0913085 
 1-4797176 9168665 1-0906714 
 1-4792483 9174020 1-0900347 
 1^4787795 9179379 1^0893984 
 1-4783111 9184740 1-0887624 
 
 ■4708736 
 1-4704123 
 1-4699514 
 1-4694910 
 1-4690309 
 1-4685713 
 1-4681120 
 1-4676532 
 1-4671948 
 1-4667368 
 1-4662792 
 
 Secant 
 
 928715 
 9292573 
 
 9297996 
 9303421 
 9308849 
 9314230 
 
 Secant 
 
 9190104 1-0881269 
 
 1-0874918 
 1-0868571 
 
 9254700 1-0805321 
 9260102 1-0799018 
 9265506 3-0792718 
 0786423 
 9276324 1-0780132 
 9281738 1-0773845 
 4 1-0767561 
 1-0761282 
 1-0755006 
 
 9325151 
 
 Cotan. 
 
 •0748734 
 1-0742467 
 1 -0736203 
 
 9319714 1-0729943 
 
 1-0723687 
 
 Tang. 
 
 1-3456327 
 1-3459853 
 1-3463382 
 1-3466914 
 1-3470449 
 1-3473987 
 1'3477528 
 1-3481072 
 1-3484619 
 1-3488168 
 1-3491721 
 1-3495277 
 1-3498836 
 1-3502398 
 1-3505963 
 1-3509531 
 1-3513102 
 1-3516677 
 1-3520254 
 
 1-3523834 
 1-3527417 
 1-3531003 
 1-3534593 
 b3538185 
 1-3541780 
 1-3545379 
 1-3548980 
 1-3552585 
 1-3556193 
 1-3559803 
 1-3563417 
 1-3567034 
 1-3570654 
 1-3574277 
 1-3577903 
 1-3581532 
 1-3585164 
 1-3588800 
 1-3592438 
 1-3596080 
 1-3599725 
 1-3603372 
 1-3607023 
 
 1-3610677 
 1-3614334 
 1-3617995 
 1-3621658 
 1-3625324 
 1-3628994 
 1-3632667 
 1-3636343 
 1-3640022 
 1-3643704 
 1-3647389 
 1-3651078 
 1-3654770 
 1-3658464 
 1-3662162 
 1-3665863 
 1-3669567 
 1-3673275 
 
 Vers. Dif. Cosine 
 
 2568552 
 2570498 
 2572446 
 2574394 
 2576342 
 2578292 
 2580242 
 2582192 
 2584143 
 2586095 
 2588047 
 2590000 
 2591954 
 
 2593908 
 2595863 
 2597819 
 2599775 
 2601732 
 2603689 
 2605647 
 2607606 
 2609566 
 2611525 
 2613485 
 2615447 
 2617408 
 2619371 
 2621834 
 2623297 
 2625262 
 2627227 
 2629192 
 2631158 
 2633125 
 2635092 
 2637060 
 2639029 
 2640998 
 2642968 
 2644939 
 2646910 
 2648882 
 2650854 
 
 2652827 
 
 2654801 
 
 2656775 
 
 2658750 
 
 266072 
 
 2662701 
 
 2664678 
 
 2666655 
 
 2668633 
 
 2670612 
 
 2672591 
 
 2674571 
 
 2676551 
 
 2678533 
 
 2680514 
 
 2682497 
 
 2684479 
 
 2686463 
 
 1946 
 1948 
 1948 
 1948 
 1950 
 1950 
 1950 
 1951 
 1952 
 1952 
 1953 
 1954 
 1954 
 1955 
 1956 
 1956 
 1957 
 1957 
 1958 
 1959 
 1959 
 1960 
 1960 
 1962 
 1961 
 1963 
 1963 
 1963 
 1965 
 1965 
 1965 
 1966 
 1967 
 1967 
 1968 
 1969 
 1969 
 1970 
 1971 
 1971 
 1972 
 1972 
 1973 
 1974 
 1974 
 1975 
 1975 
 1976 
 1977 
 
 1977 
 1978 
 1979 
 1979 
 1980 
 1980 
 1982 
 1981 
 1983 
 1982 
 1984 
 
 7431448 
 7429502 
 7427554 
 7425606 
 7423658 
 7421708 
 7419758 
 7417808 
 7415857 
 7413905 
 741 1953 
 7410000 
 7408046 
 7406092 
 7404137 
 7402181 
 7400225 
 7398268 
 7396311 
 
 7394353 
 7392394 
 7390435 
 7388475 
 7386515 
 7384553 
 7382592 
 7380629 
 737S666 
 7376703 
 7374738 
 7372773 
 7370808 
 7368842 
 7366875 
 7364908 
 7362940 
 7360971 
 7359002 
 7357032 
 7355061 
 7353090 
 7351118 
 7349 146J 
 
 7347173 
 7345199 
 7343225 
 7341250 
 7339275 
 7337299 
 7335322 
 7333345 
 7331367 
 7329388 
 7327409 
 7325429 
 7323449 
 7321467 
 7319486 
 7317503 
 7315521 
 7313537 
 
 Cosec. Covers Dif^ Sine 
 Deg, 47. 
 
43 Deg. 
 
 LOG. SINES, &C. 
 
 (333) 
 
 Sine 
 
 Dif. Cosec. 
 
 Verseds 
 
 fang. Dif. Cotang. Covers. Secant Dif. Cosine 
 
 9-8255109 
 9-8256512 
 9-8257913 
 9-8259314 
 9-8260;i5 
 9-8262114 
 9-8263512 
 9-8264910 
 9-8266307 
 9-8267703 
 9-8269()98 
 9-8270493 
 9-8271887 
 9-8273279 
 9-8274671 
 
 8276063 
 9-8277453 
 9-8278843 
 9-8280231 
 9-8281619 
 9-8283006 
 
 8284393 
 9-8285778 
 9-8287163 
 9-8288547 
 9-8289930 
 
 8291312 
 9-8292694 
 9-8294075 
 9-8295454 
 
 8296833 
 9-8298212 
 9-8299589 
 
 8300966 
 9-8302342 
 9-8303717 
 9-8305091 
 9-8306464 
 9-8307837 
 9-8309209 
 9-8310580 
 9-8311950 
 9-8313320 
 
 9-8314688 
 9-8316056 
 9-8317423 
 9-8318789 
 9-8320155 
 9-8321519 
 9-8322883 
 9-8324246 
 9-8325609 
 9-8326970 
 9-8328331 
 9-8329691 
 9-8331050 
 9-8332408 
 9-8333766 
 8335122 
 9-8336478 
 9-8337833 
 
 1403 
 1401 
 1401 
 1401 
 1399 
 1398 
 1398 
 1397 
 1396 
 1395 
 1395 
 1394 
 1392 
 
 1392 
 1392 
 1390 
 1390 
 1388 
 1388 
 1387 
 1387 
 1385 
 1385 
 1384 
 1383 
 1382 
 1382 
 1381 
 1379 
 1379 
 1379 
 
 1377 
 1377 
 1376 
 1375 
 1374 
 1373 
 
 1373 
 1372 
 1371 
 1370 
 1370 
 1368 
 1368 
 1367 
 1366 
 1366 
 1364 
 1364 
 1363 
 1363 
 1361 
 1361 
 1360 
 1359 
 1358 
 1358 
 1356 
 1356 
 1355 
 
 1744891 
 1743488 
 1742087 
 1740686 
 1739285 
 1737886 
 1736488 
 1735090 
 1733693 
 1732297 
 1730902 
 1 729507 
 1728113 
 1726721 
 1725329 
 1723937 
 1722547 
 1721157 
 1719769 
 
 1718381 
 1716994 
 1715607 
 1714222 
 1712837 
 1711453 
 1710070 
 1708688 
 1707306 
 1705925 
 1704546 
 1703167 
 1701788 
 1700411 
 1699034 
 1697658 
 1696283 
 1694909 
 1693536 
 1692163 
 1690791 
 1689420 
 1688050 
 1686680 
 1685312 
 1683944 
 1682577 
 1681211 
 1679845 
 1678481 
 1677117 
 1675754 
 1674391 
 1673030 
 167\669 
 1670309 
 1668950 
 1667592 
 1666234 
 1664878 
 1663522 
 1662167 
 
 9-4096883 
 9-4100174 
 9-4103462 
 9-4106750 
 9-4110036 
 9-4113321 
 9-4116604 
 9-4119885 
 9-4123166 
 9-4126445 
 9-4129722 
 9-4132998 
 9-4136273 
 9-4139546 
 9-4142818 
 9-4146088 
 4149357 
 9-4152625 
 9-4155891 
 9-4159156 
 9-4162419 
 9 4165681 
 9-4168942 
 9-4172201 
 9-4175459 
 9-4178715 
 9-4181970 
 9-4185223 
 9-4188475 
 9-4191726 
 9-4194975 
 
 9-4198223 
 9-4201470 
 9-4204715 
 9-4207959 
 9-4211201 
 9-4214442 
 9-4217681 
 9-4220920 
 9-4224156 
 9-4227392 
 9-4230626 
 9-4233858 
 9-4237089 
 9-4240319 
 4243548 
 9-4246775 
 9-4250000 
 9-4253225 
 
 9-4256447 
 
 9-4259669 
 
 9-4262889 
 
 9-4266108 
 
 9-4269325 
 
 9-4272541 
 
 4275756 
 
 9-4278969 
 
 9-4282181 
 
 4285392 
 
 4288601 
 
 9'4291809 
 
 9-9544374 
 9-9546915 
 9-954945.^ 
 9-9551995 
 9-9554535 
 9-9557075 
 9-9559615 
 9-9562154 
 9-9564694 
 
 9567233 
 9-9569772 
 9-9572311 
 9-9574850 
 9-9577389 
 9-9579927 
 9-9582465 
 9-9585004 
 9-9587542 
 9-9590080 
 9-9592618 
 9-9595155 
 9-9597693 
 9-9600230 
 9-9602767 
 
 9605305 
 9-9607842 
 9-9610378 
 9-9612915 
 9-9615452 
 9-9617988 
 9-9620525 
 9-9623061 
 9-9625597 
 9-9628133 
 9-9630669 
 9-9633204 
 9-9635740 
 9-9638275 
 9-9640811 
 9-9643346 
 9-9645881 
 9-9648416 
 9-9650951 
 9-9653486 
 9-9656020 
 9-9658555 
 9-9661089 
 9-9663623 
 99666157 
 9-9668692 
 9-9671225 
 9-9673759 
 9-9676293 
 9-9678827 
 9-9681360 
 9-9683893 
 9-9686427 
 9-9688960 
 9-9691493 
 9-9694026 
 9-9696559 
 
 2541 
 2540 
 2540 
 2540 
 2540 
 2540 
 2539 
 2540 
 2539 
 2539 
 2539 
 2539 
 2539 
 2538 
 2538 
 2539 
 2538 
 2538 
 2538 
 2537 
 2538 
 2537 
 2537 
 2538 
 2537 
 2536 
 2537 
 2537 
 2536 
 2537 
 2536 
 2536 
 2536 
 2536 
 2535 
 2536 
 35 
 2536 
 2535 
 2535 
 2535 
 2535 
 2535 
 2534 
 2535 
 2534 
 2534 
 2534 
 2535 
 2533 
 2534 
 2534 
 2534 
 2533 
 2533 
 2534 
 2533 
 2533 
 2533 
 2533 
 
 10-0455626 
 10-0453085 
 10-0450545 
 10-0448005 
 10-0445465 
 100442925 
 10-0440385 
 10-0437846 
 10-0435306 
 10-0432767 
 10-0430228 
 10-0427689 
 10-0425150 
 10-0422611 
 10-0420073 
 10-0417535 
 10-0414996 
 10-0412458 
 10-0409920 
 10-0407382 
 10-0404845 
 10-0402307 
 10-0399770 
 10-0397233 
 10-0394695 
 
 10-0392158 
 10-0389622 
 10-0387085 
 10 0384548 
 10-0382012 
 10-0379475 
 
 -5196566 
 •5193728 
 -5190889 
 -5188049 
 •5185207 
 •5182365 
 -5179521 
 
 '5176677 
 -5173831 
 -5170984 
 -5168136 
 -5165287 
 -5162436 
 -5159585 
 -5156733 
 •5153879 
 •5151024 
 -5148168 
 •5145311 
 
 •5142453 
 •5139594 
 •5136734 
 •5133872 
 •5131009 
 •5128146 
 •5125281 
 •5122415 
 •5119548 
 •5116679 
 •5113810 
 •5110940 
 
 10-0376939 
 10-0374403 
 10-0371867 
 10-0369331 
 10-0366796 
 
 -5108068 
 -5105195 
 -5102321 
 -5099446 
 -5096570 
 10-03642<j0 9-5093693 
 
 10-0361725 
 10-0359189 
 100356654 
 10-0354119 
 10-0351584 
 10-0349049 
 10-0346514 
 10-0343980 
 10-0341445 
 100338911 
 10-0336377 
 10-0333843 
 10^033 1308 
 1 0^0328775 
 10^0326241 
 I0^0323707 
 100321173 
 10-0318640 
 10-0316107 
 10-0313573 
 10-0311040 
 10-0308507 
 10-0305974 
 10-0303441 
 
 -5090814 
 -5087934 
 •^085054 
 •5082172 
 ■5079289 
 •5076405 
 •5073519 
 •5070633 
 •5067745 
 •5064857 
 •5061967 
 •5059076 
 •5056183 
 ■5053290 
 •5050396 
 5047500 
 5044603 
 5041705 
 5038806 
 5035906 
 5033005 
 5030102 
 5027198 
 5024294 
 
 ■1289265 
 1290403 
 1291542 
 1292681 
 1293821 
 1294961 
 1296102 
 
 1297244 
 
 1298387 
 
 1299530 
 
 1300674 
 
 1301818 
 
 1302963 
 
 1304109 
 
 1305256 
 
 1306403 
 
 1307551 
 
 1308699 
 
 1309848 
 
 1310998 
 
 1312149 
 
 1313300 
 
 1314452 
 
 1315604 
 
 1316758 
 
 1317912 
 
 1319066 
 
 132022 
 
 1321377 
 
 1322534 
 
 1323691 
 
 1324849 
 
 1326008 
 
 1327167 
 
 1328327 
 
 1329488 
 
 1330649 
 
 1331811 
 
 1332974 
 
 1334137 
 
 1335301 
 
 1336466 
 
 1337631 
 
 1338797 
 
 1339964 
 
 134U32 
 
 1342300 
 
 1343469 
 
 1344638 
 
 1345808 
 
 1346979 
 
 1348151 
 
 1349323 
 
 1350496 
 
 1351669 
 
 1352344 
 
 1354019 
 
 1355194 
 
 1356371 
 
 1357548 
 
 1358725 
 
 1138 
 1139 
 1139 
 1140 
 1140 
 1141 
 1142 
 1143 
 1143 
 1144 
 1144 
 1145 
 1146 
 1147 
 1147 
 1148 
 1148 
 1149 
 1150 
 1151 
 1151 
 1152 
 1152 
 1154 
 1154 
 1154 
 1155 
 1156 
 1157 
 1157 
 1158 
 1159 
 1159 
 1160 
 1161 
 1161 
 1162 
 1163 
 1163 
 1164 
 1165 
 1166 
 1166 
 
 1167 
 68 
 1168 
 1169 
 1169 
 1170 
 1171 
 
 9^8710735 
 9-8709597 
 9-8708458 
 9-8707319 
 9-8706179 
 9-8705039 
 9-8703898 
 9-8702756 
 9-8701613 
 9-8700470 
 9-8699326 
 9-8698182 
 9-8697037 
 9-8695891 
 9-8694744 
 9-8693597 
 9-8692449 
 9-8691301 
 9-8690152 
 
 9-8689002 
 
 9-868785 
 
 9-8686700 
 
 9-8685548 
 
 9-8684396 
 
 9-8683242 
 
 9-8682088 
 
 9-8680934 
 
 9-8679779 
 
 9-8678623 
 
 9-8677466 
 
 9-8676309 
 
 9-867515 
 9r8673992 
 9-8672833 
 9-8671673 
 9^8670512 
 9-8669351 
 9-8668189 
 9-8667026 
 9-8665863 
 9-S664699 
 8663534 
 9-8662369 
 9-8661203 
 9-8660036 
 9-8658868 
 9-8657700 
 9-8656531 
 9-8655362 
 9-8654192 
 
 '9-8653021 
 "'^9-8651849 
 
 1172 
 1173 
 1173 
 1175 
 1175 
 175 
 1177 
 77 
 1177 
 
 9-8650677 
 9-8649504 
 9-8648331 
 9-8647156 
 9 8645981 
 9-8644806 
 9-8643629 
 9-8642452 
 9-8641275 
 
 ' Cosine 'Dif. Secant Covers. Cotang. Dif. Tang. Verseds. Cosec. iDif. Sine 
 
 . --. . ^ Deg. 47. 
 
(334) 43 Deg. natural sines, &c. 
 
 Tab. 10. 
 
 Sine 
 
 681998-1 
 68221 n 
 6824237 
 6826363 
 6828489 
 6830613 
 6832738 
 
 7 6834861 
 
 8 6836984 
 6839107 
 
 Dif. Covers 
 
 2127 
 2126 
 212G 
 2126 
 2124 
 2125 
 2123 
 2123 
 2123 
 
 6841229^12? 315877 
 
 68433505!^! 3156650 
 
 6845471 2,20 3154529 
 
 6847591 
 6849711 
 6851830 
 6853948 
 6856066 
 6858184 
 6860300 
 6862416 
 6864532 
 6S66647 
 6868761 
 6870876 
 
 6872988 
 6875101 
 6877213 
 6879325 
 6881435 
 6883546 
 6885655 
 6887765 
 6889873 
 6891981 
 6894089 
 6896195 
 6898302 
 6900407 
 6902512 
 6904617 
 6906721 
 6908824 
 
 6910927 
 6913029 
 6915131 
 6917232 
 6919332 
 6921432 
 6923531 
 6925630 
 6927728 
 6929825 
 6931922 
 6934018 
 6936114 
 
 56 6938209 ?9?^ 
 
 6940304 _.-^ 
 6942398 ?^^^ 
 
 6944491 
 
 6946584^093 
 
 Cosine Dif 
 
 3180016 
 3177889 
 3175763 
 3173637 
 3171511 
 3169387 
 3167262 
 
 3165139 
 3163016 
 3160893 
 
 2120 
 2119 
 2118 
 2118 
 2118 
 2116 
 
 2116 
 2116 
 2115 
 2114 
 2114 
 2113 
 2113 
 2112 
 2112 
 2110 
 2111 
 2109 
 2110 
 2108 
 2108 
 2108 
 2106 
 2107 
 2105 
 2105 
 2105 
 2104 
 2103 
 2103 
 
 2102 
 2102 
 2101 
 2100 
 2100 
 2099 
 2099 
 2098 
 2097 
 2097 
 2096 
 2096 
 
 2095 
 
 2093 
 
 3152409 
 3150289 
 3148170 
 3146052 
 3143934 
 3141816 
 3139700 
 3137584 
 3135468 
 3133353 
 3131239 
 3129125 
 
 3127012 
 3124899 
 3122787 
 3120675 
 3118565 
 3116454 
 3114345 
 3112235 
 3110127 
 3108019 
 3105911 
 3103805 
 3101698 
 3099593 
 3097488 
 3095383 
 3093279 
 3091176 
 
 3089073 
 3086971 
 3084869 
 3082768 
 3080668 
 3078568 
 3076469 
 3074370 
 3072272 
 3070175 
 3068078 
 3065982 
 
 3063886 
 3061791 
 3059696 
 3057602 
 3055509 
 3053416 
 
 Cosec. 
 
 1-4662792 
 1-4658220 
 1-4653652 
 1-4649089 
 I -4644529 
 1-4639973 
 1-4635422 
 1-4630875 
 1-462633 
 1-4621792 
 1-4617257 
 1-4612726 
 1-4608198 
 1-4603676 
 1-4599156 
 1-4594641 
 1-4590130 
 1-4585623 
 1-4581120 
 1-4576621 
 1-4572127 
 1-4567636 
 1-4563149 
 1-4558666 
 1-4554187 
 1-4549712 
 1-4545241 
 1-4540774 
 1-4536311 
 1-4531852 
 1-4527397 
 1-4522946 
 1-4518498 
 1-4514055 
 1-4509616 
 1-4505181 
 1-4500749 
 1-4496322 
 4491898 
 1-4487478 
 1-4483063 
 1-4478651 
 1-4474243 
 1-4469839 
 1-4465439 
 1-4461043 
 1-4456651 
 1-4452262 
 1-4447878 
 
 1-4443497 
 1-4439120 
 1-4434748 
 1-4430379 
 1-4426013 
 1-4421652 
 
 1-4417295 
 1-4412941 
 1-4408592 
 1-4404246 
 1-4399904 
 1-4395565 
 
 Tang. 
 
 9325151 
 9330591 
 9336034 
 9341479 
 9346928 
 935238(. 
 9357834 
 
 9363292 
 9368753 
 9374216 
 9379683 
 9385153 
 9390S25 
 9396101 
 9401579 
 9407061 
 9412545 
 9418033 
 9423523 
 
 9429017 
 9434513 
 9440013 
 9445516 
 9451021 
 9456530 
 9462042 
 9467556 
 9473074 
 9478595 
 9484119 
 9489646 
 9495176 
 9500709 
 06245 
 9511784 
 9517326 
 9522871 
 9528420 
 9533971 
 9539526 
 9545083 
 9550644 
 9556208 
 9561774 
 9567344 
 9572917 
 9578494 
 9584073 
 9589655 
 9595241 
 9600829 
 9606421 
 9612016 
 9617614 
 9623215 
 9628819 
 9634427 
 964Q037 
 9645651 
 9651268 
 9656888 
 
 Cotang. 
 
 1 •0723687 
 
 1-0717435 
 
 1-0711187 
 
 1-07049^.^ 
 
 1-0698702 
 
 1-0692466 
 
 1-0686233 
 
 1-0680004 
 
 1-067377 
 
 I -0667558 
 
 1-0661341 
 
 1-0655128 
 
 1-064891 
 
 1-0642713 
 1-0636511 
 1-0630313 
 1-0624119 
 1-0617929 
 1-0611742 
 
 1-0605560 
 1-0599381 
 1-0593206 
 1-0587035 
 1-0580867 
 1-0574704 
 1-0568544 
 1 -0562388 
 1-0556235 
 1-0550087 
 1-0543942 
 1-0537801 
 1-0531664 
 1-0525531 
 1-0519401 
 1-0513275 
 1-0507153 
 1-0501034 
 1-0494920 
 1-0488809 
 1 -0482702 
 1-0476598 
 1-0470498 
 1-0464402 
 1-0458310 
 1-0452221 
 1-0446136 
 1-0440055 
 1-0433977 
 1-0427904 
 1-0421833 
 1-0415767 
 0409704 
 1-0403645 
 1-0397589 
 1-0391538 
 1-0385489 
 1-0379445 
 1-0373404 
 1-0367367 
 1-0361333 
 1-0355303 
 
 Secant Vers. Dif. Cosine ' 
 
 1-3673275 
 1-3676985 
 1-3680699 
 1-3684416 
 1-3688136 
 1-3691859 
 1-3695586 
 1-3699315 
 1-3703048 
 1-3706784 
 1-3710523 
 1-3714266 
 1-3718011 
 
 1-3721760 
 1-3725512 
 1.3729268 
 1-3733026 
 1-3736788 
 1-3740553 
 1-3744321 
 1 -3748092 
 1-3751867 
 1-3755645 
 1-3759426 
 1-3763210 
 1-3766998 
 1-3770789 
 1-3774583 
 1-3778380 
 1-3782181 
 1-3785986 
 
 1-3789792 
 1-3793602 
 1-3797416 
 1-3801233 
 1-3805053 
 1-3808877 
 1-3812704 
 1-3816534 
 1-3820367 
 1-3824204 
 1-3828044 
 1-3831887 
 1-3835734 
 1-3839584 
 1-3843437 
 1-3847294 
 1-3851153 
 1-3855017 
 1-3858883 
 1-3862753 
 1-3866626 
 1-3870503 
 1-3874383 
 1-3878266 
 
 1-3882153 
 1-3886043 
 1-3889936 
 1-3893832 
 1-3897733 
 1-3801636 
 
 2686463 
 2688447 
 2690432 
 2692417 
 2694403 
 2696390 
 2698377 
 2700365 
 2702354 
 2704343 
 2706332 
 2708323 
 2710314 
 2712305 
 2714297 
 2716290 
 2718284 
 2720278 
 2722272 
 2724268 
 2726264 
 2728260 
 2730257 
 2732255 
 2734253 
 2736252 
 2738252 
 2740252 
 2742253 
 2744254 
 2746256 
 2748259 
 2750262 
 2752266 
 2754271 
 2756276 
 2758281 
 2760288 
 2762295 
 2764302 
 2766310 
 2768319 
 2770329 
 2772339 
 2774349 
 2776360 
 2778372 
 2780385 
 2782398 
 2784411 
 2786426 
 2788441 
 2790456 
 2792472 
 2794489 
 2796506 
 2798524 
 2800543 
 2802562 
 2804582 
 2806602 
 
 1984 
 1985 
 1985 
 1986 
 1987 
 1987 
 1988 
 1989 
 1989 
 1989 
 1991 
 1991 
 1991 
 1992 
 1993 
 1994 
 1994 
 1994 
 1996 
 1996 
 1996 
 1997 
 1998 
 1998 
 1999 
 
 2000 
 2000 
 2001 
 2001 
 2002 
 2003 
 2003 
 2004 
 2005 
 2005 
 2005 
 2007 
 2007 
 2007 
 2008 
 2009 
 2010 
 2010 
 
 2010 
 2011 
 2012 
 2013 
 2013 
 2013 
 2015 
 2015 
 2015 
 2016 
 2017 
 2017 
 2018 
 2019 
 2019 
 2020 
 2020 
 
 7313537 
 
 7311553 
 
 7309568 
 
 7307583 
 
 7305597 
 
 7303610 
 
 7301623 
 
 7299635 
 
 7297646 
 
 7295657 
 
 7293668 
 
 7291677 
 
 7289686 
 
 7287695 
 
 7285703 
 
 728371a 
 
 7281716 
 
 7279722 
 
 7277728 
 
 7275732 
 
 7273736 
 
 7271740 
 
 7269743 
 
 7267745 
 
 7265747 
 
 7263748 
 
 7261748 
 
 7259748 
 
 7257747 
 
 7265746 
 
 7253744 
 
 7251741 
 
 7249738 
 
 7247734 
 
 7245729 
 
 7243724 
 
 7241719 
 
 7239712 
 
 7237705 
 
 7235698 
 
 7233690 
 
 72316181 
 
 7229671 
 
 7227661 
 
 7225651 
 
 7223640 
 
 7221628 
 
 7219615 
 
 7217602 
 
 7215589 
 
 7213574 
 
 7211559 
 
 7209544 
 
 7207528 
 
 7205511 
 
 7203494 
 
 7201476 
 
 7199457 
 
 7197438 
 
 7195418 
 
 7193398 
 
 Vers. 
 
 SecantlCotan.l Tang. 
 
 Cosec. [Covers Dif. 
 
 Sine 
 
 Deg. 46. 
 
43 De^. 
 
 LOG. SINES, &C. 
 
 (335) 
 
 Sine Dif. 
 
 9-8337833 
 9-8339188 
 9-8340541 
 9-8341894 
 9-8343246" 
 9-8344597 
 9-8345948 
 
 9-8347297 
 
 9-8348646 
 
 9-8349994 
 
 9-835134 
 
 9-8352688 
 
 9-8354033 
 
 1355 
 1353 
 1353 
 1352 
 1351 
 1351 
 1349 
 
 1349 
 1348 
 1347 
 1347 
 1345 
 1345 
 1344 
 1344 
 1342 
 1342 
 1341 
 1340 
 1340 
 1338 
 1338 
 1337 
 1337 
 1335 
 1335 
 1334 
 1333 
 1332 
 1332 
 1331 
 1330 
 1329 
 1329 
 1328 
 327 
 1326 
 
 1325 
 1325 
 1324 
 1323 
 1322 
 1322 
 1321 
 1320 
 1319 
 1319 
 1317 
 1317 
 
 1317 
 1315 
 1315 
 1314 
 1313 
 1312 
 1312 
 1311 
 1310 
 1309 
 1309 
 
 Cosec. Verseds. Tang. Dif. 
 
 •1662167 
 ■1660812 
 1659459 
 1658106 
 •1656754 
 1655403 
 1654052 
 
 1652703 
 1651354 
 1650006 
 1648659 
 1647312 
 1645967 
 1644622 
 1643278 
 1641934 
 1640592 
 1639250 
 1637909 
 1636569 
 1635229 
 1633391 
 1632553 
 1631216 
 1629879 
 1628544 
 1627209 
 1625875 
 1624542 
 1623210 
 1621878 
 1620547 
 1619217 
 1617888 
 1616559 
 1615231 
 1613904 
 1612578 
 1611253 
 1609928 
 1608604 
 1607281 
 1605959 
 
 1604637 
 1603316 
 1601996 
 1600677 
 1599358 
 1598041 
 
 1 596724 
 1595407 
 1594092 
 1592777 
 1591463 
 1590150 
 1588838 
 1587526 
 1586215 
 1534905 
 1583596 
 1582287 
 
 9-4291809 
 
 9-4295015 
 
 9-4298220 9 
 
 9-4301424 
 
 9-4304626 
 
 9-4307827 
 
 9-4311027 
 
 9-4314225 
 9-4317422 
 9-4320617 
 
 4323811 
 9-4327004 
 9-4330196 
 9-4333386 
 9-4336574 
 9-4339762 
 
 4342948 
 9-4346133 
 9-4349316 
 9-4352498 
 
 4355678 
 9-4358858 
 9-4362036 
 9-4365212 
 9-4368387 
 9-4371561 
 9-4374734 
 9-437790 
 9-4381075 
 9-4384243 
 9-4387411 
 
 4390576 
 9-4393741 
 9-4396904 
 9-4400066 
 9-4403227 
 9-4406386 
 
 9-4409544 
 9-4412700 
 9-4415855 
 9-4419009 
 9-4422162 
 9-4425313 
 4428463 
 9-4431611 
 9-4434758 
 9-4437904 
 9-4441049 
 9-4444192 
 9-4447334 
 9-4450475 
 9-4453614 
 9-4456752 
 9-4459889 
 9-4463024 
 9-4466158 
 9-4469291 
 9-4472422 
 9-4475552 
 9-4478681 
 9-4481808 
 
 -9696559 
 -9699091 
 -9701624 
 •9704157 
 -9706689 
 -9709221 
 -9711754 
 
 •9714286 
 
 •9716818 
 
 •9719350 
 
 -9721882 
 
 •9724413 
 
 •972694 
 
 •9729477 
 
 •9732008 
 
 •9734539 
 
 •9737071 
 
 •9739602 
 
 •9742133 
 
 •9744664 
 
 •9747195 
 
 •9749726 
 
 •9752257 
 
 •9754787 
 
 •9757318 
 
 •9759849 
 
 •9762379 
 
 ■9764909 
 
 •9767440 
 
 •9769970 
 
 •9772500 
 
 ■9775030 
 
 9777560 
 
 •9780090 
 
 •9782620 
 
 ■9785149 
 
 •9787679 
 
 •9790209 
 
 •9792738 
 
 •9795268 
 
 '9797797 
 
 9800326 
 
 •9802856 
 
 •9805385 
 
 •9807914 
 
 •9810443 
 
 ■9812972 
 
 ■9815501 
 
 •9818030 
 
 •9820559 
 ■9823087 
 9825616 
 ■9828145 
 9830673 
 9833202 
 
 9835730 
 ■9838259 
 ■9840787 
 ■9843315 
 ■9845844 
 •9848372 
 
 2532 
 2533 
 2533 
 2532 
 2532 
 2533 
 2532 
 2532 
 2532 
 2532 
 2531 
 2532 
 2532 
 2531 
 2531 
 2532 
 2531 
 2531 
 2531 
 2531 
 2531 
 2531 
 2530 
 2531 
 2531 
 2530 
 2530 
 2531 
 2530 
 2530 
 2530 
 2530 
 2530 
 2530 
 2529 
 2530 
 2530 
 2529 
 2530 
 2529 
 2529 
 2530 
 2529 
 2529 
 2529 
 2529 
 2529 
 2529 
 2529 
 2528 
 2529 
 2529 
 2528 
 2529 
 2528 
 2529 
 2528 
 2528 
 2529 
 2528 
 
 Cotang. 
 
 139 
 
 10-0303441 
 
 10-0300909 
 
 10-0298376 
 
 10-0295843 
 
 10-0293311 
 
 10-0290779 
 
 10-0288246 
 
 10-0285714 
 
 10-0283182 
 
 10-0280650 
 
 10-0278118 
 
 10-0275587 
 
 10-0273055 
 
 10-0270523 
 
 10-0267992 
 
 10-0265461 
 
 10-0262929 
 
 10-0260398 
 
 10-0257867 
 
 10-0255336 
 
 10-0252805 
 
 10-0250274 
 
 10-0247743 
 
 10-02452 
 
 10-0242682 
 
 10-0240151 
 
 10-0237621 
 
 10-0235091 
 
 10-0232560 
 
 10-0230030 
 
 10-0227500 
 
 10-0224970 
 
 10-0222440 
 
 10-0219910 
 
 10-0217380 
 
 10-0214851 
 
 10-0212321 
 
 10-0209791 
 10-0207262 
 10-0204732 
 10-0202203 
 10-0199674 
 100197144 
 10-0194615 
 10-0192086 
 10-0189557 
 10-0187028 
 10-0184499 
 10-0181970 
 10-0179441 
 10-0176913 
 10-0174384 
 10-0171855 
 10-0169327 
 10-0166798 
 10-0164270 
 10-0161741 
 10-0159213 
 10-0156685 
 10-0154156 
 10-0151628 
 
 Covers. 
 
 9-5024294 
 9-5021388 
 9-5018480 
 9-5015572 
 9-5012663 
 9-5009752 
 9-5006840 
 9-500392/ 
 9-5001013 
 9-4998098 
 9-4995182 
 9-4992264 
 9-4989345 
 9-4986425 
 9-4983504 
 9-4980582 
 9-4977658 
 9-4974734 
 9-4971808 
 9-4968881 
 9-4965953 
 9-4963024 
 9-4960093 
 4957 16^! 
 9-4954229 
 9-4951295 
 9-4948360 
 9-4945424 
 9-4942486 
 9-4939547 
 9-4936608 
 
 9-4933667 
 9-4930724 
 9-4927781 
 9-4924836 
 9-4921891 
 9-4918944 
 9-4915996 
 9-4913046 
 9-4910096 
 9-4907144 
 9-4904191 
 9-4901237 
 9-4898282 
 9-4895326 
 9-4892368 
 9-4889409 
 9-4886449 
 9-4883488 
 9-4880525 
 9-4877562 
 9-4874597 
 9-4871631 
 9-4868664 
 9-4865696 
 9-4862726 
 9-4859755 
 9-4856783 
 9-4853810 
 9-4850836 
 9-4847860 
 
 Secant Dif. Cosine 
 
 1358725 
 1359904 
 1361083 
 1362263 
 1363443 
 1364624 
 1365806 
 1366989 
 1368172 
 1369356 
 1370540 
 1371726 
 1372912 
 
 1374098 
 1375286 
 1376474 
 1377662 
 1378852 
 1380042 
 1381233 
 1382424 
 1383617 
 1384810 
 1386003 
 1387197 
 1388392 
 1389588 
 1390785 
 1391982 
 1393179 
 1394378 
 1395577 
 1396777 
 1397978 
 1399179 
 1400381 
 1401584 
 
 1402787 
 1403991 
 1405196 
 1406401 
 1407607 
 1408814 
 1410022 
 1411230 
 1412439 
 1413649 
 1414859 
 1416071 
 1417282 
 1418495 
 1419708 
 1420922 
 1422137 
 1423352 
 1424568 
 1425785 
 1427002 
 1428221 
 1429439 
 1430659 
 
 1179 
 1179 
 1180 
 1180 
 1181 
 1182 
 1183 
 1183 
 1184 
 1184 
 1186 
 1186 
 1186 
 1188 
 1188 
 1188 
 1190 
 1190 
 1191 
 
 1191 
 1193 
 1193 
 1193 
 1194 
 1195 
 1196 
 1197 
 1197 
 1197 
 1199 
 1199 
 1200 
 1201 
 1201 
 1202 
 1203 
 1203 
 1204 
 1205 
 1205 
 1206 
 1207 
 1208 
 1208 
 1209 
 1210 
 1210 
 1212 
 1211 
 
 1213 
 1213 
 1214 
 1215 
 1215 
 1216 
 1217 
 1217 
 1219 
 1218 
 1220 
 
 9-8641275 
 9-8640096 
 9-8638917 
 9-8637737 
 9-8636557 
 9-8635376 
 9-8634194 
 9-8633011 
 9-8631828 
 8630644 
 9-8629460 
 9-8628274 
 9-8627088 
 9-8625902 
 9-8624714 
 9-8623526 
 9-8622338 
 9-8621148 
 9-8619958 
 9-8618767 
 9-8617576 
 9-8616383 
 9-8615190 
 9-8613997 
 9-8612803 
 
 9-8611608 
 9-8610412 
 9-8609215 
 9-8608018 
 9-8606821 
 9-8605622 
 9-8604423 
 9-8603223 
 9-8602022 
 9-8600821 
 9-8599619 
 9-8598416 
 9-8597213 
 9-8596009 
 -8594804 
 9-8593599 
 9-8592393 
 9-8591186 
 9-8589978 
 9-8588770 
 9-8587561 
 9-8586351 
 9-8585141 
 9-8583929 
 9-8582718 
 9-8581505 
 9-8580292 
 9-8679078 
 9-8577863 
 9-8576648 
 9-8575432 
 9-8574215 
 9-8572998 
 9-8571779 
 9-8570561 
 9-8569341 
 
 Cosine Dif. 
 
 Secant 
 
 Covers. Cotang. Dif. 
 
 Tang. 
 
 Verseds. Cosec. Dif. Sine 
 "■"" Deg. 46. 
 
(336) 44 Deg. natural sines, &c. 
 
 Tab. 10. 
 
 Sine 
 
 Dif. Covers Cosec 
 
 Tang. Cotang Secant 
 
 Vers. 
 
 Dih Cosine 
 
 6946584 
 6948676 
 6950767 
 6952858 
 6954949 
 6957039 
 6959128 
 
 6961217 
 6963305 
 6965392 
 6967479 
 6969565 
 6971651 
 
 6975736 
 6975821 
 6977905 
 6979988 
 6982071 
 6984153 
 6986234 
 6988315 
 6990396 
 6992476 
 6994555 
 6996633 
 6998711 
 7000789 
 7002866 
 7004942 
 7007018 
 7009093 
 7011167 
 7013241 
 7015314 
 7017387 
 7019459 
 7021531 
 7023601 
 7025672 
 7027741 
 7029811 
 7031879 
 7033947 
 
 7036014 
 7038081 
 7040147 
 7042213 
 7044278 
 7046342 
 7048406 
 7050469 
 7052532 
 7054594 
 7056655 
 7058716 
 7060776 
 7062835 
 7064894 
 7066953 
 7069011 
 7071068 
 
 2092 
 2091 
 2091 
 2091 
 2090 
 2089 
 2089 
 2088 
 2087 
 2087 
 2086 
 2086 
 2085 
 2085 
 2084 
 2083 
 2083 
 2082 
 2081 
 2081 
 2081 
 
 Cosine 
 
 2079 
 2078 
 2078 
 2078 
 2077 
 2076 
 2076 
 2075 
 2074 
 2074 
 2073 
 2073 
 2072 
 2072 
 2070 
 2071 
 2069 
 2070 
 2068 
 2068 
 2067 
 2067 
 2066 
 2066 
 2065 
 2064 
 2064 
 2063 
 2063 
 2062 
 2061 
 2061 
 2060 
 
 2059 
 2059 
 2059 
 2058 
 2057 
 
 3053416 
 3051324 
 3049233 
 3047142 
 3045051 
 3042961 
 3040872 
 
 303878:^ 
 3036695 
 3034608 
 3032521 
 3030435 
 3028349 
 3026264 
 3024179 
 3022095 
 3020012 
 3017929 
 3015847 
 3013766 
 3011685 
 3009604 
 3007524 
 300544S 
 3003367 
 3001289 
 299921] 
 2997134 
 2995058 
 2992982 
 2990907 
 2988833 
 2986759 
 2984686 
 2982613 
 2980541 
 2978469 
 2976399 
 2974328 
 2972259 
 2970189 
 2968121 
 2966053 
 2963986 
 2961919 
 2959853 
 2957787 
 2955722 
 2953658 
 2951594 
 2949531 
 2947468 
 2945406 
 2943345 
 2941284 
 2939224 
 2937165 
 2935106 
 2933047 
 2930989 
 
 Dif, 
 
 1-4395566 
 1-4391231 
 1-4386900 
 1-4382574 
 4378251 
 1-4373932 
 1-4369616 
 1-4365305 
 1-4360997 
 1-4356693 
 1-4352393 
 1-4348097 
 1-4343805 
 1-4339516 
 1-4335231 
 1-4330950 
 1 -4326672 
 1-4322399 
 1-4318129 
 
 1-4313863 
 
 1-4309600 
 
 1-4305342 
 
 1-4301087 
 
 1-4296836 
 
 1-4292588 
 
 1-4288345 
 
 1-4284105 
 
 1-4279868 
 
 1-4275636 
 
 1-4271407 
 
 1-4267182 
 
 1-4262961 
 
 1-4258743 
 
 1-4254529 
 
 1-4250319 
 
 1-4246112 
 
 1-4241909 
 
 1-4237710 
 
 1-4233514 
 
 1-4229323 
 
 1-4225134 
 
 1-4220950 
 
 1-4216769 
 
 1-4212592 
 
 1-420841 
 
 1-4204248 
 
 1-4200082 
 
 1-4195920 
 
 1-4191761 
 
 1-4187605 
 
 1-4183454 
 
 1-4179306 
 
 1-4175161 
 
 1-4171020 
 
 1-4166883 
 
 1-4162749 
 
 1-4158619 
 
 1-4154493 
 
 1-4150370 
 
 1-4146251 
 
 2928932 1.4142136 
 
 9656888 
 9662511 
 9668137 
 9673767 
 9679399 
 9685035 
 9690674 
 9696316 
 9701962 
 9707610 
 9713262 
 9718917 
 9724575 
 9730236 
 9735901 
 9741569 
 9747240 
 9752914 
 9758591 
 9764272 
 9769956 
 9775643 
 9781333 
 9787027 
 9792724 
 
 9798424 
 9804127 
 9809833 
 9815543 
 9821256 
 9826973 
 9832692 
 9838415 
 9844141 
 9849871 
 9855605 
 9861339 
 9867079 
 9872821 
 9878567 
 9884316 
 9890069 
 9895825 
 9901584 
 9907346 
 9913112 
 9918881 
 9924654 
 9930429 
 
 9936208 
 9941991 
 9947777 
 9953566 
 9959358 
 9965154 
 9970953 
 9976756 
 9982562 
 9988371 
 9994184 
 1000000 
 
 Vers. I Secant 
 
 1-0355303 
 1-0349277 
 1-0343254 
 1-0337235 
 1-0331220 
 1 -0325208 
 1-0319199 
 1-0313195 
 1-0307194 
 1-0301196 
 1 -0295203 
 1-0289212 
 1-0283226 
 1-0277243 
 1-0271263 
 1-0265287 
 1-0259315 
 1-0253346 
 1-0247381 
 1-0241419 
 1-0235461 
 1-0229506 
 1-0223555 
 1-0217608 
 1-0211664 
 1-0205723 
 1-0199786 
 1-0193853 
 1-0187923 
 1-0181997 
 1-0176074 
 1-0170155 
 1-0164239 
 1-0158326 
 1-0152418 
 1-0146512 
 1-0140610 
 1-0134712 
 1-0128817 
 1-0122925 
 1-0117038 
 1-0111153 
 1-0105272 
 1-0099394 
 1-0093520 
 1-0087649 
 1-0081782 
 1-0075918 
 1-0070058 
 1-0064201 
 1-0058348 
 1-0052497 
 1-0046651 
 1-0040807 
 1-0034968 
 1-0029131 
 1-0023298 
 1-0017469 
 1-0011642 
 1-0005819 
 1-0000000 
 
 Cotan 
 
 1-3901636 
 1-3905543 
 1-3909453 
 1-3913366 
 1-3917283 
 1-3921203 
 1-3925127 
 1-3929054 
 1-3932985 
 1-3936918 
 1-3940856 
 1-3944796 
 1-3948740 
 
 1-3952688 
 
 1-3956639 
 
 1-3960593 
 
 1-3964551 
 
 1-3968512 
 
 1-3972477 
 
 1-3976445 
 
 1-3980416 
 
 1-3984391 
 
 1-3988369 
 
 1-3992351 
 
 1-3996336 
 
 1-400032 
 
 1-4004317 
 
 1-4008313 
 
 1-4012312 
 
 1-4016315 
 
 1-4020321 
 
 1-4024330 
 1-4028343 
 1-4032360 
 1-4036380 
 1-4040403 
 1-4044430 
 1-4048461 
 1-4052494 
 1-4056532 
 1-4060573 
 1-4064617 
 1-4068665 
 
 1-4072717 
 1-4076772 
 1-4080831 
 1-4084893 
 1-4088958 
 1-4093028 
 
 1-4097100 
 1-4101177 
 1-4105257 
 1-4109340 
 1-4113427 
 1-4117517 
 1-4121612 
 1-4125709 
 1-4129810 
 1-4133915 
 1-4138024 
 1-4142136 
 
 Tang. 
 
 2806602 
 
 2808623 
 
 2810645 
 
 2812667 
 
 2814690 
 
 2816713 
 
 2818737 
 
 2820762 
 
 2822787 
 
 282481 
 
 2826839 
 
 2828866 
 
 2830894 
 
 2832922 
 
 2834951 
 
 2836981 
 
 2839011 
 
 2841041 
 
 2843073 
 
 2845105 
 
 2847137 
 
 2849170 
 
 2851204 
 
 2853238 
 
 2855273 
 
 2857309 
 
 2859345 
 
 2861382 
 
 2863419 
 
 2865457 
 
 2867496 
 
 286953 
 
 2871574 
 
 2873615 
 
 2875656 
 
 2S77697 
 
 2879740 
 
 2881782 
 
 2883826 
 
 2885870 
 
 2887914 
 
 2889959 
 
 2892005 
 
 2894052 
 
 2896099 
 
 2898146 
 
 2900194 
 
 2902243 
 
 2904293 
 
 2906343 
 
 2908393 
 
 2910444 
 
 2912496 
 
 2914549 
 
 2916602 
 
 2918655 
 
 2920709 
 
 2922764 
 
 2924820 
 
 2926876 
 
 2928932 
 
 Cosec. 
 
 2021 
 2022 
 2022 
 2023 
 2023 
 2024 
 2025 
 2025 
 2026 
 2026 
 2027 
 2028 
 2028 
 
 2029 
 2030 
 2030 
 2030 
 2032 
 2032 
 2032 
 2033 
 2034 
 2034 
 2035 
 2036 
 2036 
 2037 
 2037 
 2038 
 2039 
 2039 
 2039 
 2041 
 2041 
 2041 
 2043 
 2042 
 2044 
 2044 
 2044 
 2045 
 2046 
 2047 
 2047 
 2047 
 2048 
 2049 
 2050 
 2050 
 2050 
 2051 
 2052 
 2053 
 2053 
 2053 
 2054 
 2055 
 2056 
 2056 
 2056 
 
 Covers 
 
 7193398 
 
 7191377 
 
 7189355 
 
 7187333 
 
 7185310 
 
 7183287 
 
 7181263 
 
 7179238 
 
 7177213 
 
 7175187 
 
 7173161 
 
 7171134 
 
 7169106 
 
 7167078 
 
 7165049 
 
 7163019 
 
 7160989 
 
 7158959 
 
 7156927 
 
 715489 
 
 7152863 
 
 7150830 
 
 7148796 
 
 7146762 
 
 7144727 
 
 7142691 
 
 7140655 
 
 7138618 
 
 7136581 
 
 7134543 
 
 7132504 
 
 713046 
 
 7128426 
 
 7126385 
 
 7124344 
 
 7122303 
 
 7120260 
 
 7118218 
 
 7116174 
 
 7114130 
 
 7112086 
 
 7110041 
 
 7107995 
 
 7105948 
 7103901 
 7101854 
 7099806 
 7097757 
 7095707 
 7093657 
 7091607 
 7089556 
 7087504 
 7085451 
 7083398 
 7081345 
 7079291 
 7077236 
 7075180 
 7073124 
 7071068 
 
 Dif. 
 
 1 Sine 
 
 Deg. 45, 
 
44 Deg. 
 
 LOG. SINES, kc. 
 
 (537) 
 
 Siiie Dif. Cosec. IVerseds. Tang. Dif. Cotang. 
 
 Covers. Secant IDif. Cosine 
 
 9-8417713 
 9-8419021 
 9-8420328 
 9-8421634 
 9-8422939 
 9-8424244 
 9-8425548 
 9-8426851 
 9-8428154 
 8429456 
 9-8430757 
 9-8432057 
 9-8433356 
 9-8434655 
 9-8435953 
 9-8437250 
 9-8438547 
 9-8439842 
 9-8441137 
 9-8442432 
 9-8443725 
 9-8445018 
 9-8446810 
 9-8447601 
 9-8448891 
 
 9-8450181 
 9-8451470 
 9-8452758 
 9-8454045 
 9-8455332 
 9-8456618 
 9-8457903 
 9-8459 J 88 
 9-8460471 
 9-8461754 
 9-8463036 
 9-8464318 
 9-8465599 
 9-8466879 
 9-8468158 
 0-8469436 
 9-8470714 
 9-8471991 
 
 9-8473267 
 9-8474543 
 9-8475817 
 9-8477091 
 9-8478365 
 9-8479637 
 9-8480909 
 9-8482180 
 9-8483450 
 9-8484720 
 9-8485989 
 9-8487257 
 9-8488524 
 9-8489791 
 9-8491057 
 9-8492322 
 9-8493586 
 9-8494850 
 
 1308 
 1307 
 1306 
 1305 
 1305 
 1304 
 1303 
 
 1303 
 
 1302 
 
 1301 
 
 1300 
 
 1299 
 
 1299 
 
 1298 
 
 1297 
 
 1297 
 
 1295 
 
 1295 
 
 1295 
 
 1293 
 
 1293 
 
 1292 
 
 1291 
 
 1290 
 
 1290 
 
 1289 
 
 1288 
 
 1287 
 
 1287 
 
 1286 
 
 1285 
 
 1285 
 
 1283 
 
 1283 
 
 1282 
 
 1282 
 
 1281 
 
 1280 
 
 1279 
 
 1278 
 
 1278 
 
 1277 
 
 1276 
 
 1276 
 
 1274 
 
 1274 
 
 1274 
 
 1272 
 
 1272 
 
 1271 
 
 1270 
 
 1270 
 
 1269 
 
 1268 
 
 1267 
 
 1267 
 
 1266 
 
 1265 
 
 1264 
 
 1264 
 
 10-1582287 9-4481808 
 10-1580979 9-4484934 
 
 10-1579672 
 10-1578366 
 10-1577061 
 10-1575756 
 10-1574452 
 10-1573149 
 10-1571846 
 10-1570544 
 10-1569243 
 10-1567943 
 10-1566644 
 10-1565345 
 10-1564047 
 10-1562750 
 10-1561453 
 10-1560158 
 10-1558863 
 
 10-1557568 
 10-1556275 
 10-1554982 
 10-1553690 
 10-1552399 
 10-1551109 
 10-1549319 
 10-1548530 
 10-1547242 
 10-1545955 
 10-1544668 
 10-1543382 
 
 10-1542097 
 10-1540812 
 10-1539529 
 10-1538246 
 10-1536964 
 10-1535682 
 10-1534401 
 10-1533121 
 10-1531842 
 10-1530564 
 10-1529286 
 10-1528009 
 10-1526733 
 10-1525457 
 10-1524183 
 10-1522909 
 10-1521635 
 10-1520363 
 10-1519091 
 10-1517820 
 10-1516550 
 10-1515280 
 10-1514011 
 10-1512743 
 101511476 
 10-1510209 
 10-1508943 
 10-1507678 
 10-1506414 
 10-1505150 
 
 9-4488059 
 9-4491183 
 9-4494305 
 9-4497426 
 9-4500546 
 9-4503664 
 9-4506781 
 9-4509897 
 9-4513011 
 9-4516124 
 9-4519236 
 9-4522346 
 9-4525456 
 9-4528564 
 9-4531670 
 9-4534776 
 9-4537880 
 9-4540982 
 9-4544084 
 9-4547184 
 9-4550283 
 9-4553380 
 9-4556477 
 9-4559572 
 9-4562665 
 9-4565758 
 9-4568849 
 4571939 
 9-4575027 
 9-4578115 
 9-4581201 
 9-4584286 
 9-4587369 
 9-4590451 
 9-4593532 
 9-4596612 
 9-4599690 
 9-4602767 
 9-4605843 
 9-4608918 
 9-4611991 
 
 9-4615063 
 9-4618134 
 9-4621203 
 9-4624271 
 9-4627338 
 9-4630404 
 
 9-4633468 
 9-4636531 
 9-4639593 
 9-4642654 
 9-4645713 
 9-4648771 
 9-4651828 
 9-4654884 
 9-4657938 
 9-4660991 
 9-4664043 
 9-4667093 
 
 9-9848372 
 9-9850900 
 9-9853428 
 9-9855S56 
 9-9858484 
 9-9861012 
 9-9363540 
 9-9866068 
 9-9868596 
 
 9871123 
 9-9873651 
 9-9876179 
 9-9878706 
 9-9881234 
 9-9883761 
 9-9886289 
 
 9888816 
 9-9891344 
 9-9893871 
 9-9896399 
 9-9893926 
 9-9901453 
 9-9903981 
 9-9'906508 
 9-9909035 
 9-9911562 
 9-9914089 
 9-9916616 
 9-9919143 
 9-9921670 
 9-9924197 
 9-9926724 
 9-9929251 
 9-9931778 
 9-9934305 
 9-9936832 
 9-9939359 
 9-9941886 
 9-9944413 
 9-9946940 
 9-9949466 
 9-9951993 
 9-9954520 
 
 9-9957047 
 9-9959573 
 9-9962100 
 9-9964627 
 9-9967154 
 9-9969680 
 
 9-9972207 
 9-9974734 
 9-9977260 
 9-9979787 
 9-9982314 
 9-9984840 
 9-9987367 
 9-9989893 
 9-9992420 
 9-9994947 
 9-9997473 
 1-0000000 
 
 Cosine Dif. Secant Covers. Cotang. Dif. 
 
 2528 
 2528 
 2528 
 2528 
 2528 
 2528 
 
 2528 
 2528 
 2527 
 2528 
 2528 
 2527 
 2528 
 2527 
 2528 
 2527 
 2528 
 2527 
 2528 
 2527 
 2527 
 2528 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2527 
 2526 
 2527 
 2527 
 2527 
 2526 
 2527 
 2527 
 2527 
 2526 
 2527 
 2527 
 2526 
 2527 
 2527 
 2526 
 
 2527 
 2526 
 2527 
 2527 
 2526 
 2527 
 
 10-0151628 
 
 10-0149100 
 
 10-0146572 
 
 10-0144044 
 
 10-0141516 
 
 10-0138988 
 
 10-0136460 
 
 10-0133932 
 
 10-0131404 
 
 10-0128877 
 
 10-0126349 
 
 10-0123821 
 
 10-0121294 
 
 10-0118766 
 
 10-0116239 
 
 10-0113711 
 
 10-0111184 
 
 10-0108656 
 
 10-0106129 
 
 10-0103601 
 
 10-0101074 
 
 10-0098547 
 
 10-0096019 
 
 10-0093492 
 
 10-0090965 
 
 10-0088438 
 
 10-0085911 
 
 10-0083384 
 
 10-0080857 
 
 10-0078330 
 
 10-0075803 
 
 10-0073276 
 
 10-0070749 
 
 10-0068222 
 
 10-0065695 
 
 10-0063168 
 
 10-0060641 
 
 10-0058114 
 
 10-0055587 
 
 10-0053060 
 
 10-0050534 
 
 10-0048007 
 
 10-0045480 
 
 10-0042953 
 
 10-0040427 
 
 10-0037900 
 
 10-0035373 
 
 10-0032846 
 
 10-0030320 
 
 10-0027793 
 
 10-0025266 
 
 10-0022740 
 
 10-0020213 
 
 10-0017686 
 
 10-0015160 
 
 10-001263 
 
 10-0010107 
 
 10-0007580 
 
 10-0005053 
 
 10-0002527 
 
 10-0000000 
 
 9-4847860 
 4844883 
 9-4841905 
 9-4838926 
 9-4835946 
 9-4832964 
 9-4829981 
 
 9-4826997 
 9-4824012 
 9-4821026 
 9-4818038 
 9-4815049 
 
 10-1430659 
 10-1431879 
 10-1433100 
 10-1434322 
 10-1435545 
 10-1436768 
 10-1437992 
 10-1439216 
 10-1440442 
 10-1441668 
 10-1442894 
 10-1444122 
 
 9-4812059110-1445350 
 10-1446579 
 
 9-4809068 
 9-4806075 
 9-4803082 
 9-4800087 
 4797091 
 9-4794093 
 
 9-4791095 
 9-4788095 
 4785094 
 47820D2 
 9-4779088 
 9-4776083 
 
 9-4773078 
 9-4770070 
 9-4767062 
 4764052 
 9-4761042 
 9-4758030 
 
 9-4755016 
 9-4752002 
 9-4748986 
 4745969 
 9-4742951 
 9-4739932 
 9-473691 
 9-4733889 
 9-4730866 
 9-4727841 
 9-4724816 
 9-4721789 
 9-4718761 
 9-4715732 
 9-4712701 
 9-4709669 
 9-4706636 
 9-4703602 
 9-4700566 
 9-4697530 
 9-46Sil492 
 9 4691452 
 
 10-1447808 
 10-1449039 
 10-1450270 
 10-1451501 
 10-1452734 
 
 10-1453967 
 10-1455201 
 10-1456436 
 10-1457671 
 10-1458907 
 0-1460144 
 
 10-1461381 
 10-1462619 
 lO-.l 463858 
 10-1465098 
 10-1466338 
 10-1467579 
 10-1468821 
 10-1470064 
 10-1471307 
 10-1472551 
 10-1473796 
 10-1475041 
 
 10-1476287 
 10-1477534 
 10-1478782 
 10-1480030 
 10-1481279 
 10-1482529 
 10-1483780 
 10-1486031 
 10-1486283 
 10-1487535 
 10-1488789 
 10-1490043 
 10-1491298 
 10-1492554 
 10-1493810 
 10-1495067 
 
 4688412 10-149632; 
 
 9-4685370 
 9-4682327 
 9-4679283 
 9-4676237 
 9-4673190 
 9-4670142 
 9-4667093 
 
 Tang. 
 
 10-1497583 
 10-1498843 
 10-1500103 
 IQ- 150 1363 
 10-1502625 
 10-1503887 
 10-1505150 
 
 1220 
 
 1221 
 
 1222 
 
 1223 
 
 1223 
 
 1224 
 
 1224 
 
 1226 
 
 1226 
 
 1226 
 
 1228 
 
 1228 
 
 1229 
 
 1229 
 
 1231 
 
 1231 
 
 1231 
 
 1233 
 
 1233 
 
 1234 
 
 1235 
 
 1235 
 
 1236 
 
 1237 
 
 1237 
 
 1238 
 
 1239 
 
 1240 
 
 1240 
 
 1241 
 
 1242 
 
 1243 
 
 1243 
 
 1244 
 
 1245 
 
 1245 
 
 1246 
 
 1247 
 
 1248 
 
 1248 
 
 1249 
 
 1250 
 
 1251 
 
 1251 
 
 1252 
 
 1252 
 
 1254 
 
 1254 
 
 1255 
 
 1256 
 
 1256 
 
 1257 
 
 1258 
 
 1258 
 
 1260 
 
 1260 
 
 126Q 
 
 1262 
 
 1262 
 
 1263 
 
 Verseds, Cosec. Dif. Sine 
 
 9-8569341 
 9-8568121 
 9-8566900 
 9-8565678 
 9-8564455 
 9-8563232 
 9-8562008 
 9-8560784 
 9-8559558 
 9-8558332 
 9-8557106 
 9-8555878 
 9-8554650 
 9-8553421 
 8552192 
 8550961 
 9-8549730 
 9-8548499 
 9-8547266 
 9-8546033 
 8544799 
 9 8543564 
 9-8542329 
 9-8541093 
 8539856 
 9-8538619 
 537381 
 9-8536142 
 9-8634902 
 9-8533662 
 9-8532421 
 9-8531179 
 8529936 
 8528693 
 8527449 
 9-8526204 
 9-852495 
 9-8523713 
 9-8522466 
 9-852121 
 9-8519970 
 9-851872 
 9-8517471 
 9-8516220 
 9-8514969 
 9-851371 
 9-8512465 
 9-85112II 
 9-8509957 
 9-8508702 
 9-8507446 
 9-8506190 
 8504933 
 9-8503675 
 9-8502417 
 9-8501157 
 9-849989 
 9-8498637 
 9-8497375 
 9-8496113 
 9-8494850 
 
 52 
 
 51 
 
 >0 
 
 49 
 
 48 
 
 47 
 
 46 
 
 45 
 
 44 
 
 43 
 
 42 
 
 41 
 
 40 
 
 39 
 
 38 
 
 37 
 
 36 
 
 35 
 
 34 
 
 33 
 
 32 
 
 31 
 
 30 
 
 9 
 
 28 
 
 27 
 
 26 
 
 25 
 
 24 
 
 23 
 
 22 
 
 21 
 
 20 
 
 19 
 
 18 
 
 17 
 
 16 
 
 15 
 
 14 
 
 13 
 
 12 
 
 11 
 
 10 
 
 9 
 
 8 
 
 7 
 
 6 
 
 5 
 4 
 3 
 2 
 1 
 
 
 3 X 
 
 Deg. 45. 
 
338 
 
 
 DIFFERENCE OF 
 
 LAT. 
 
 AND 
 
 DEPARTURE. 
 
 Tab. 
 
 ]]. 
 
 Course 
 
 Dist. 1. 
 
 Dist. 2. 1 
 
 Dist. 3. 1 
 
 Dist. 4. 1 
 
 Dist. 5. 1 
 
 Course 1 
 
 Pts. 
 
 D. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 dT 
 
 Pts. 
 
 
 I 
 
 0-9998 
 
 0-0175 
 
 1-9997 
 
 0-0349 
 
 2-9995 
 
 0-0524 
 
 3-9994 
 
 0-0698 
 
 4-9992 
 
 0-0873 
 
 89 
 
 
 
 2 
 
 0-9994 
 
 0-0349 
 
 1-9988 
 
 0-0698 
 
 2-9982 
 
 0-1047 
 
 3-9976 
 
 0-1396 
 
 4-9970 
 
 0-1745 
 
 88 
 
 
 0^ 
 
 
 0-9988 
 
 0-0491 
 
 1-9976 
 
 0-0981 
 
 2-9964 
 
 0-1472 
 
 3-9952 
 
 0-1963 
 
 4-9940 
 
 0-2453 
 
 
 7 1 
 
 
 3 
 
 0-9986 
 
 0-0523 
 
 1-9973 
 
 0-1047 
 
 2-9959 
 
 0-1570 
 
 3-9945 
 
 0-2093 
 
 4-9931 
 
 0-2617 
 
 87 
 
 
 
 4 
 
 0-9976 
 
 0-0698 
 
 1-9951 
 
 0-1395 
 
 2-9927 
 
 0-2093 
 
 3-9903 
 
 0-2790 
 
 4-9878 
 
 0-3488 
 
 86 
 
 
 
 5 
 
 b-9962 
 
 0-0872 
 
 1-9924 
 
 0-1743 
 
 2-9886 
 
 0-2615 
 
 3-9848 
 
 0-3486 
 
 4-9810 
 
 0-4358 
 
 85 
 
 
 j 
 
 
 0-9952 
 
 0-0980 
 
 1-9904 
 
 0-1960 
 
 2-9856 
 
 0-2941 
 
 3-9807 
 
 0-3921 
 
 4-9759 
 
 0-4901 
 
 
 7 h 
 
 
 6 
 
 0-9945 
 
 0-1045 
 
 1-9890 
 
 0-2091 
 
 2-9836 
 
 0-3136 
 
 3-9781 
 
 0-4181 
 
 4-9726 
 
 0-5226 
 
 84 
 
 
 
 7 
 
 0-9925 
 
 0-1219 
 
 1-9851 
 
 0-2437 
 
 2-9776 
 
 0-3656 
 
 3-9702 
 
 0-4876 
 
 4-9627 
 
 0-6093 
 
 83 
 
 
 
 8 
 
 0-9903 
 
 0-1392 
 
 1-9805 
 
 0-2783 
 
 2-9708 
 
 0-4175 
 
 3-8611 
 
 0-556Y 
 
 4-9513 
 
 0-6959 
 
 82 
 
 
 0| 
 
 
 0-9892 
 
 0-1467 
 
 1-9784 
 
 0-2935 
 
 2-9675 
 
 0-4402 
 
 3-9567 
 
 0-5869 
 
 4-9459 
 
 0-7337 
 
 
 7 i 
 
 
 9 
 
 0-9877 
 
 0-1564 
 
 1-9754 
 
 0-3129 
 
 2-9631 
 
 0-4693 
 
 3-9508 
 
 0-6257 
 
 4-9384 
 
 0-7822 
 
 81 
 
 
 
 10 
 
 0-9848 
 
 0-1736 
 
 1-9696 
 
 0-3473 
 
 2-9544 
 
 0-5209 
 
 3-9392 
 
 0-6946 
 
 4-9240 
 
 0-8682 
 
 80 
 
 
 
 11 
 
 0-9816 
 
 0-1908 
 
 1-9633 
 
 0-3816 
 
 2-9449 
 
 0-5724 
 
 3-9265 
 
 0-7632 
 
 4-9081 
 
 0-9540 
 
 79 
 
 
 1 1 
 
 
 0-9808 
 
 0-1951 
 
 1-9616 
 
 0-3902 
 
 2-9424 
 
 0-5853 
 
 3-9231 
 
 0-7804 
 
 4-9039 
 
 0-9755 
 
 
 7 
 
 
 12 
 
 0-9781 
 
 0-2079 
 
 1-9563 
 
 0-4158 
 
 2-9344 
 
 6237 
 
 3-9126 
 
 0-8316 
 
 4-8907 
 
 1-0396 
 
 78 
 
 
 
 13 
 
 0-9744 
 
 0-2250 
 
 1-9487 
 
 0-4499 
 
 2-9231 
 
 0-6749 
 
 3-8975 
 
 0-8998 
 
 4-8719 
 
 1-1248 
 
 77 
 
 
 
 14 
 
 0-9703 
 
 0-2419 
 
 1-9406 
 
 0-4838 
 
 2-9109 
 
 0-7258 
 
 3-8812 
 
 0-9677 
 
 4-8515 
 
 1-2096 
 
 76 
 
 
 1 
 
 
 0-9700 
 
 0-2430 
 
 1-9401 
 
 0-4860 
 
 2-9101 
 
 0-7289 
 
 3-8801 
 
 0-9719 
 
 4-8502 
 
 1-2149 
 
 
 6| 
 
 
 15 
 
 0-9659 
 
 0-2588 
 
 1-9319 
 
 0-5176 
 
 2-8978 
 
 0-7765 
 
 3-8637 
 
 1-0353 
 
 4-8296 
 
 1-2941 
 
 7b 
 
 
 
 16 
 
 0-9613 
 
 0-2756 
 
 1-9225 
 
 0-5513 
 
 2-8838 
 
 0-8269 
 
 3-8450 
 
 1-1025 
 
 4-8063 
 
 1-3782 
 
 74 
 
 
 1 i 
 
 
 0-9569 
 
 0-2903 
 
 1-9139 
 
 0-5806 
 
 2-8708 
 
 0-8709 
 
 3-8278 
 
 1-1611 
 
 4-7847 
 
 1-4514 
 
 
 Si 
 
 
 17 
 
 0-9563 
 
 0-2924 
 
 1-9126 
 
 0-5847 
 
 2-8689 
 
 0-8771 
 
 3-8252 
 
 1-1695 
 
 4-7815 
 
 1-4619 
 
 73 
 
 
 
 18 
 
 0-9511 
 
 0-3090 
 
 1-9021 
 
 0-6180 
 
 2-8532 
 
 0-9271 
 
 3-8042 
 
 1-2361 
 
 4-7553 
 
 1-5451 
 
 72 
 
 
 
 19 
 
 0-9455 
 
 0-3256 
 
 1-8910 
 
 0-6511 
 
 2-8366 
 
 0-9767 
 
 3-7821 
 
 1-3023 
 
 4-7276 
 
 1-6278 
 
 71 
 
 
 1 ^ 
 
 
 0-9415 
 
 0-3369 
 
 1-8831 
 
 0-6738 
 
 2-8246 
 
 1-0107 
 
 3-7662 
 
 1-3476 
 
 4-7077 
 
 1-6844 
 
 
 61 
 
 
 20 
 
 0-9397 
 
 0-3420 
 
 1.8794 
 
 0-6840 
 
 2-8191 
 
 1-0261 
 
 3-7538 
 
 1-3681 
 
 4-6985 
 
 1-7101 
 
 70 
 
 
 
 21 
 
 0-9336 
 
 0-3584 
 
 1-8672 
 
 0-7167 
 
 2-8007 
 
 1-0751 
 
 3-7343 
 
 1-4335 
 
 4-6679 
 
 1-7918 
 
 69 
 
 
 
 22 
 
 0-9272 
 
 0-3746 
 
 1-8544 
 
 0-7492 
 
 2-7816 
 
 1-1238 
 
 3-7087 
 
 l-4»84 
 
 4-6359 
 
 1-8730 
 
 68 
 
 
 2 
 
 
 0-9239 
 
 0-3827 
 
 1-8478 
 
 0-7654 
 
 2-7716 
 
 1-1481 
 
 3-6955 
 
 1-5307 
 
 46194 
 
 1-9134 
 
 
 6 
 
 
 23 
 
 0-9205 
 
 0-3907 
 
 1-8410 
 
 0-7815 
 
 2-7615 
 
 1-1722 
 
 3-6820 
 
 1^5629 
 
 4-6025 
 
 1-9537 
 
 67 
 
 
 
 24 
 
 0-9135 
 
 0-4067 
 
 1-8271 
 
 0-8135 
 
 2-7406 
 
 1-2202 
 
 3-6542 
 
 1-6269 
 
 4-5677 
 
 2-0337 
 
 66 
 
 
 
 25 
 
 0-9063 
 
 0-4226 
 
 1-8126 
 
 0-8452 
 
 2-7189 
 
 1-2679 
 
 3-6252 
 
 1-6905 
 
 4-5315 
 
 2-1131 
 
 65 
 
 
 2 ^ 
 
 
 0-9040 
 
 0-4276 
 
 1-8080 
 
 0-8551 
 
 2-7120 
 
 1-2827 
 
 3-6160 
 
 1-7102 
 
 4-5199 
 
 2-1378 
 
 
 5 i 
 
 
 26 
 
 0-8988 
 
 0-4384 
 
 i-7976 
 
 0-8767 
 
 2-6964 
 
 1-3151 
 
 3-5952 
 
 1-7535 
 
 4-4940 
 
 2-1919 
 
 64 
 
 
 
 27 
 
 0-8910 
 
 0-4540 
 
 1-7820 
 
 0-9080 
 
 2-6730 
 
 1-3620 
 
 3-5640 
 
 1-8160 
 
 4-4550 
 
 2-2700 
 
 63 
 
 
 
 28 
 
 0-8829 
 
 0-4695 
 
 1-7659 
 
 0-9389 
 
 2-6488 
 
 1-4084 
 
 3-5318 
 
 1-8779 
 
 4-4147 
 
 2-3474 
 
 62 
 
 
 2^ 
 
 
 0-8819 
 
 0-4714 
 
 1-7638 
 
 0-9428 
 
 2-6458 
 
 1-4142 
 
 3-5277 
 
 1-8856 
 
 4-4096 
 
 2-3570 
 
 
 M 
 
 
 29 
 
 0-8746 
 
 0-4848 
 
 1-7492 
 
 0-9696 
 
 2-6239 
 
 1-4544 
 
 3-4985 
 
 1-9392 
 
 4-3731 
 
 2-4240 
 
 61 
 
 
 
 30 
 
 0-8660 
 
 0-5000 
 
 1-7321 
 
 1-0000 
 
 2-5981 
 
 1-5000 
 
 3-4641 
 
 2-0000 
 
 4-3301 
 
 2-6000 
 
 60 
 
 
 2 1 
 
 
 0-8577 
 
 0-5141 
 
 1-7155 
 
 1-0282 
 
 2-5732 
 
 1-5423 
 
 3-4309 
 
 2-0564 
 
 4-2886 
 
 2-5705 
 
 
 51 
 
 
 31 
 
 0-8572 
 
 0-5150 
 
 1-7143 
 
 1-0301 
 
 2-5715 
 
 1-5451 
 
 3-4287 
 
 2-0602 
 
 4-2858 
 
 2-5752 
 
 59 
 
 
 
 32 
 
 0-8480 
 
 0-5299 
 
 1-6961 
 
 1-0598 
 
 2-5441 
 
 1-5898 
 
 3-3.922 
 
 2-1197 
 
 4-2402 
 
 2-6496 
 
 68 
 
 
 
 33 
 
 0-8387 
 
 0-5446 
 
 1-6773 
 
 1-0893 
 
 2-5160 
 
 1-6339 
 
 3-3547 
 
 2-1786 
 
 4-1934 
 
 2-7232 
 
 57 
 
 
 3 
 
 
 0-8315 
 
 0-5556 
 
 1-6629 
 
 1-1111 
 
 2-4944 
 
 \'6667 
 
 3-3259 
 
 2-2223 
 
 4-1573 
 
 2-7779 
 
 
 5 
 
 
 34 
 
 0-8290 
 
 0-5592 
 
 1-6581 
 
 1-1184 
 
 2-4871 
 
 1-6776 
 
 3-3162 
 
 2-2368 
 
 4-1452 
 
 2-7960 
 
 56 
 
 
 
 35 
 
 0-8192 
 
 0-5736 
 
 1-6383 
 
 1-1472 
 
 2-4575 
 
 1-7207 
 
 3-2766 
 
 2-2943 
 
 4-0958 
 
 2-8679 
 
 55 
 
 
 
 36 
 
 0-8090 
 
 0-5878 
 
 1-6180 
 
 1-1756 
 
 2-4271 
 
 1-7634 
 
 3-2361 
 
 2-3511 
 
 4-0451 
 
 2-9389 
 
 54 
 
 
 3| 
 
 
 0-8032 
 
 0-5957 
 
 1-6064 
 
 1-1914 
 
 2-4096 
 
 1-7871 
 
 3-2128 
 
 2-3828 
 
 4-0160 
 
 2-9785 
 
 
 4i 
 
 
 37 
 
 0-7986 
 
 0-6018 
 
 1-5973 
 
 1-2036 
 
 2-3959 
 
 1-8054 
 
 3-1945 
 
 2-4073 
 
 3-9932 
 
 3-0091 
 
 53 
 
 
 
 38 
 
 0-7880 
 
 0-6157 
 
 1-5760 
 
 1-2313 
 
 2-3640 
 
 1-8470 
 
 3-1520 
 
 2-4626 
 
 3-9401 
 
 3-0783 
 
 52 
 
 
 
 39 
 
 0-7771 
 
 0-6293 
 
 ^5543 
 
 1-2586 
 
 2-3314 
 
 1-8880 
 
 3-1086 
 
 2-5173 
 
 3-8857 
 
 3-1466 
 
 61 
 
 
 3i 
 
 
 0-7730 
 
 0-6344 
 
 1-5460 
 
 1-2688 
 
 2-3190 
 
 1-9032 
 
 3-0920 
 
 2-5376 
 
 3-8650 
 
 3-1720 
 
 
 41 
 
 
 40 
 
 0-7660 
 
 0-6428 
 
 1-5321 
 
 1-2856 
 
 2-2981 
 
 1-9284 
 
 3-0642 
 
 2-5712 
 
 3-8302 
 
 3-2139 
 
 50 
 
 
 
 41 
 
 0-7547 
 
 0-6561 
 
 1-5094 
 
 1-3121 
 
 2-2641 
 
 1-9682 
 
 3-0188 
 
 2-6242 
 
 3-7735 
 
 3-2803 
 
 49 
 
 
 
 42 
 
 0-7431 
 
 0-6691 
 
 1-4803 
 
 1-3383 
 
 2-2294 
 
 1-0074 
 
 2-9726 
 
 2-6765 
 
 3-7157 
 
 3-3457 
 
 48 
 
 
 M 
 
 
 0-7410 
 
 0-6716 
 
 1-4819 
 
 1-3431 
 
 2-2229 
 
 1-0147 
 
 2-9638 
 
 2-6862 
 
 3-7048 
 
 3-3578 
 
 
 4i 
 
 
 43 
 
 0-7314 
 
 0-6820 
 
 1-4627 
 
 1-3640 
 
 2-1941 
 
 1-0460 
 
 2-9254 
 
 2-7280 
 
 3-6568 
 
 3-4100 
 
 47 
 
 
 
 44 
 
 0-7193 
 
 0-6947 
 
 1-4387 
 
 1-3893 
 
 2-1580 
 
 1-0840 
 
 2-8774 
 
 2-7786 
 
 3-5967 
 
 3-4733 
 
 46 
 
 
 4 
 
 45 
 
 0-7071 
 
 0-7071 
 
 1-4142 
 
 1-4142 
 
 2-1213 
 
 1-1213 
 
 2-8284 
 
 2-8284 
 
 3-5355 
 
 3-5355 
 
 45 
 
 4 
 
 n 
 
 i 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 1 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 Dist. 1. 
 
 Dist. 2. 
 
 Dist. 3. { 
 
 Dist. 4. 
 
 Dist. 5. 
 
^ahi 1.1. 
 
 FOR DEGREES AND QUARTER-POINTS. 
 
 339 
 
 Course 
 
 1 Dist. 6. 
 
 Dist. 7. 
 
 I , Dist. 8. 
 
 Dist. 9. 
 
 Dist. 10. 
 
 Course | 
 
 Pts. 
 
 D. 
 
 Lat. Dep. 
 
 Lat. 
 
 Dep 
 
 1 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 D. 
 
 89 
 
 Pts. 
 
 
 1 
 
 5-9991 0-1047 
 
 6-9989 
 
 0-1222 
 
 {7-9988 
 
 0-1396 
 
 8-9986 
 
 0-1571 
 
 9-9985 
 
 0-1745 
 
 
 2 
 
 5-9963 0-2094 
 
 6-9957 
 
 0-2443 
 
 7-9951 
 
 0-2792 
 
 8-9945 
 
 0-3141 
 
 9-9939 
 
 0-3490 
 
 88 
 
 
 o| 
 
 
 5-9928!0-2944 
 
 6-9916 
 
 0-3435 
 
 17-9904 
 
 0-3925 
 
 8-9892 
 
 0-4416 
 
 9-9880 
 
 0-4907 
 
 
 7 i 
 
 
 3 
 
 5-9918I0-314O 
 
 6-9904 
 
 0-3664 
 
 i7-9890 
 
 0-4187 
 
 8-9877 
 
 0-4710 
 
 9-9863 
 
 0-5234 
 
 87 
 
 
 
 4 
 
 5-9854I0-4185 
 
 6-9829 
 
 0-4883 
 
 7-9805 
 
 0-5581 
 
 8-9781 
 
 0-6278 
 
 9-9756 
 
 0-6976 
 
 86 
 
 
 
 5 
 
 5-9772 
 
 0-5229 
 
 6-9734 
 
 0-6101 
 
 7-9696 
 
 0-6972 
 
 8-9658 
 
 0-7844 
 
 9-9619 
 
 0-8716 
 
 85 
 
 
 i 
 
 
 5-9711 
 
 0-5881 
 
 6-H663 
 
 0-6861 
 
 7-.%'15 
 
 0-7841 
 
 8-95^7 
 
 0-8822 
 
 9-9518 
 
 0-9802 
 
 
 7 \ 
 
 
 6 
 
 5-9671 
 
 0-6272 
 
 6-9617 
 
 0-7317 
 
 7-9r)6'2 
 
 0-8362 
 
 8-9507 
 
 0-9408 
 
 9-9452 
 
 1-0453 
 
 84 
 
 
 
 7 
 
 5-9553 
 
 0-7312 
 
 6-9478 
 
 0-8531 
 
 i7-9404 
 
 0-9750 
 
 8-9329 
 
 1-0968 
 
 9-9255 
 
 1-2187 
 
 83 
 
 
 
 8 
 
 5-9416 
 
 0-8350 
 
 6-9319 
 
 0-9742 
 
 7-9221 
 
 1-1134 
 
 8-9124 
 
 1-2526 
 
 9-9027 
 
 1-3917 
 
 82 
 
 ■ 
 
 1 
 
 
 5-9351 
 
 0-8804 
 
 6-9242 
 
 1-0271 
 
 7-9134 
 
 1-1738 
 
 8-9026 
 
 1-3206 
 
 9-8918 
 
 1-4673 
 
 
 H 
 
 
 9 
 
 5-9261 
 
 0-9386 
 
 6-9138 
 
 1-0950 
 
 7-9015 
 
 1-2515 
 
 8-8892 
 
 1-4079 
 
 9-8769 
 
 1-5643 
 
 81 
 
 
 
 10 
 
 5-9088 
 
 1-0419 
 
 6-8937 
 
 1-2155 
 
 7-8785 
 
 1-3892 
 
 8-8633 
 
 1-5628 
 
 9-8481 
 
 1-7365 
 
 80 
 
 
 
 11 
 
 5-8898 
 
 1-1449 
 
 6-8714 
 
 1-3357 
 
 7-8530 
 
 1-5265 
 
 8-8346 
 
 1-7173 
 
 9-8163 
 
 1-9081 
 
 79 
 
 
 I 
 
 
 5-8847 
 
 1-1705 
 
 6-8655 
 
 1-3656 
 
 7-8463 
 
 1-5607 
 
 8-8271 
 
 1-7558 
 
 9-8079 
 
 1-9509 
 
 
 7 
 
 
 12 
 
 5-8689 
 
 1-2475 
 
 6-8470 
 
 1-4554 
 
 7-8252 
 
 1-6633 
 
 8-8033 
 
 1-8712 
 
 9-7815 
 
 2-0791 
 
 78 
 
 
 
 13 
 
 5-8462 
 
 1-3497 
 
 6-8206 
 
 1-5747 
 
 7-7950 
 
 1-7996 
 
 8-7693 
 
 2-0246 
 
 9-7437 
 
 2-2495 
 
 77 
 
 
 
 14 
 
 5-8218 
 
 1-4515 
 
 5-7921 
 
 1-6935 
 
 7-7624 
 
 1-9354 
 
 8-7327 
 
 2-1773 
 
 9-7030 
 
 2-4192 
 
 76 
 
 
 1 i 
 
 
 5-8202 
 
 1-4579 
 
 6-7902 
 
 1-7009 
 
 7-7602 
 
 1-9438 
 
 8-7303 
 
 2-1868 
 
 9-7003 
 
 2-4298 
 
 
 6 1 
 
 
 15 
 
 5-7956 
 
 1-5529 
 
 6-7615 
 
 1-8117 
 
 7:7274 
 
 2-0706 
 
 8-6933 
 
 2-3294 
 
 9-6593 
 
 2-5882 
 
 75 
 
 
 
 16 
 
 ^•7676 
 
 1-6538 
 
 6-7288 
 
 1-9295 
 
 |7-6901 
 
 2-2051 
 
 8-6513 
 
 2-4807 
 
 9-6120 
 
 2-7562 
 
 74 
 
 
 1 1 
 
 
 5-7416 
 
 1-7417 
 
 6-69P>6 
 
 2-0320 
 
 17-6555 
 
 2-3223 
 
 8-6125 
 
 2-6126 
 
 9-5694 
 
 2-9028 
 
 
 6i 
 
 
 17 
 
 5-7378 
 
 1-7542 
 
 6-6941 
 
 2-0466 
 
 7-6504 
 
 2-3390 
 
 8-6067 
 
 2-6313 
 
 9-5630 
 
 2-9237 
 
 73 
 
 
 
 18 
 
 5-7063 
 
 1-8541 
 
 6-6574 
 
 2*1631 
 
 7-6085 
 
 2-4721 
 
 8-5595 
 
 2-7812 
 
 9-5106 
 
 3-0902 
 
 72 
 
 
 
 19 
 
 5-6731 
 
 1-9534 
 
 6-6186 
 
 2-2790 
 
 7-5642 
 
 2-6045 
 
 8-5097 
 
 2-9301 
 
 9-4552 
 
 3-2557 
 
 71 
 
 
 1 1 
 
 
 5-6493 
 
 2-0213 
 
 6-5908 
 
 2-3582 
 
 17-5324 
 
 2-6951 
 
 8-4739 
 
 3-0320 
 
 .9-4154 
 
 3-3689 
 
 
 61 
 
 
 20 
 
 5-6382 
 
 2-0521 
 
 6-5778 
 
 2-3941 
 
 7-5176 
 
 2-7362 
 
 8-4572 
 
 3-0782 
 
 9-3969 
 
 3-4202 
 
 70 
 
 
 
 21 
 
 5-6015 
 
 2-1502 
 
 6-5351 
 
 2-5086 
 
 7-4686 
 
 2-8669 
 
 8-4022 
 
 3-2253 
 
 9-3358 
 
 3-5837 
 
 69 
 
 
 
 22 
 
 5-5631 
 
 2-2476 
 
 6-4903 
 
 2-6222 
 
 7-4175 
 
 2-9969 
 
 8-3447 
 
 3-3715 
 
 9-2718 
 
 3-7461 
 
 68 
 
 
 2 
 
 
 5-5433 
 
 2-2961 
 
 6-4672 
 
 2-6788 
 
 7-3910 
 
 3-0615 
 
 8-3149 
 
 3-4442 
 
 9-2388 
 
 3-8268 
 
 
 6 
 
 
 23 
 
 5-5230 
 
 2-3444 
 
 6-4435 
 
 2-7351 
 
 7-3540 
 
 3-1258 
 
 8-2845 
 
 3-5166 
 
 9-2050 
 
 3-9073 
 
 67 
 
 
 
 24 
 
 5-4813 
 
 2-4404 
 
 6-3948 
 
 2-8472 
 
 7-3084 
 
 3-2539 
 
 8-2219 
 
 3-6606 
 
 9-1355 
 
 4-0674 
 
 66 
 
 
 
 25 
 
 5-4378 
 
 2-5357 
 
 6-3442 
 
 2-9583 
 
 7-2505 
 
 3-3809 
 
 8-1568 
 
 3-8036 
 
 9-0631 
 
 4-2262 
 
 65 
 
 
 2| 
 
 
 5-4239 
 
 2-5653 
 
 6-3279 
 
 2-9929 
 
 7-2319 
 
 3-4204 
 
 8-1359 
 
 3-8480 
 
 9-0399 
 
 4-2756 
 
 
 5| 
 
 
 26 
 
 5-3928 
 
 2-6302 
 
 6-2916 
 
 3-0686 
 
 7-1904 
 
 3-5070 
 
 8-0891 
 
 3-9453 
 
 8-9879 
 
 4-3837 
 
 64 
 
 
 
 27 
 
 5-3460 
 
 2-7239 
 
 6-2370 
 
 3-1779 
 
 7-i2b0 
 
 3-6319 
 
 8-0191 
 
 4-0859 
 
 8-9101 
 
 4-5399 
 
 63 
 
 
 
 28 
 
 5-2977 
 
 2-8168 
 
 6-1806 
 
 3-2863 
 
 7-0636 
 
 3-7558 
 
 7-9465 
 
 4-2252 
 
 8-8295 
 
 4-6947 
 
 62 
 
 
 2i 
 
 
 5-2915 
 
 2-8284 
 
 6-1734 
 
 3-2998 
 
 7-0554 
 
 3-7712 
 
 7-9373 
 
 4-2426 
 
 8-8192 
 
 4-7140 
 
 
 5 1 
 
 
 29 
 
 5-2477 
 
 2-9089 
 
 6-1223 
 
 3-3937 
 
 6-9970 
 
 3-8785 
 
 7-8716 
 
 4-3633 
 
 8-7462 
 
 4-8481 
 
 61 
 
 
 
 30 
 
 5.1962 
 
 3-0000 
 
 6-0622 
 
 3-5000 
 
 6-9282 
 
 4-0000 
 
 7-7942 
 
 4-5000 
 
 8-6603 
 
 5-0000 
 
 60 
 
 
 2| 
 
 
 5-1464 
 
 3-0846 
 
 6-0041 
 
 3-5987 
 
 6-8618 
 
 4-1128 
 
 7-7196 
 
 4-6269 
 
 8-5773 
 
 5-1410 
 
 
 5 i 
 
 
 31 
 
 5-1430 
 
 3-0902 
 
 6-0002 
 
 3-6053 
 
 6-8573 
 
 4-1203 
 
 7-7Uo 
 
 4-6353 
 
 8-5717 
 
 5-1504 
 
 59 
 
 
 
 32 
 
 5-0883 
 
 3-1795 
 
 5-9363 
 
 3-7094 
 
 6-7844 
 
 4-2394 
 
 7-6324 
 
 4-7093 
 
 8-4805 
 
 5-2992 
 
 58 
 
 
 
 33 
 
 5-0320 
 
 3-2678 
 
 5-8707 
 
 3-8125 
 
 6-7094 
 
 4-3571 
 
 7-5480 
 
 4-9018 
 
 8-3867 
 
 5-4464 
 
 57 
 
 
 3 
 
 
 4-9888 
 
 3-3334 
 
 5-8203 
 
 3-8890 
 
 6-6518 
 
 4-4446 
 
 7-4832 
 
 5-0001 
 
 8-3147 
 
 5-5557 
 
 
 5 
 
 
 34 
 
 4-9742 
 
 3-3552 
 
 5-8033 
 
 3-9144 
 
 6-6323 
 
 4-4735 
 
 7-4613 
 
 5-0327 
 
 8-2904 
 
 5-5^19 
 
 56 
 
 
 
 35 
 
 4-9149 
 
 3-4415 
 
 5-7341 
 
 4-0150 
 
 6-5532 
 
 4-5886 
 
 7-3724 
 
 5-1622 
 
 8-1915 
 
 5-7358 
 
 55 
 
 
 
 36 
 
 4-8541 
 
 3-5267 
 
 5-6631 
 
 4-1145 
 
 6-4721 
 
 4-7023 
 
 7-2812 
 
 5-2901 
 
 8-0902 
 
 5-8779 
 
 54 
 
 
 3 i 
 
 
 4-8192 
 
 3-5742 
 
 5-6225 
 
 4-1699 
 
 6-4257 
 
 4-7656 
 
 7-2289 
 
 5-3613 
 
 8-0321 
 
 5-9570 
 
 
 4| 
 
 
 37 
 
 4-791 8 
 
 3-6109 
 
 5-5904 
 
 4-2127 
 
 6-3891 
 
 4-8145 
 
 7-1877 
 
 5-4163 
 
 7-9864 
 
 6-0182 
 
 53 
 
 
 
 38 
 
 4-7281 
 
 3-6940 
 
 5-5161 
 
 4-3096 
 
 6-3041 
 
 4-9253 
 
 7-0921 
 
 5-5409 
 
 7-8801 
 
 6-1566 
 
 52 
 
 
 
 39 
 
 4-6629 
 
 3-7759 
 
 5-4400 
 
 4-4052 
 
 6-2172 
 
 5-0346 
 
 6-9943 
 
 5-6639 
 
 7-7715 
 
 6-2932 
 
 51 
 
 
 3^ 
 
 
 4-6381 
 
 3-8064 
 
 5-4111 
 
 4-4408 
 
 6-1841 
 
 5-0751 
 
 6-9571 
 
 5-7095 
 
 7-7301 
 
 6-3439 
 
 
 4| 
 
 
 40 
 
 4-5963 
 
 3-8567 
 
 5-3623 
 
 4-4995 
 
 6-1284 
 
 5-1423 
 
 6-8944 
 
 5-7851 
 
 7-6604 
 
 6-4279 
 
 50 
 
 
 
 41 
 
 4-5283 
 
 3.9363 
 
 5-2830 
 
 4-5924 
 
 6-0377 
 
 5-2485 
 
 6-7924 
 
 5-9045 
 
 7-5471 
 
 6-5606 
 
 49 
 
 
 
 42 
 
 4-4589 
 
 4-0148 
 
 5-2020 
 
 4-6839 
 
 5-9452 
 
 5-3530 
 
 6-6883 
 
 6-0222 
 
 7-4314 
 
 6-6913 
 
 48 
 
 
 3 1 
 
 
 4-4457 
 
 4-0294 
 
 5-1867 
 
 4-7009 
 
 5-9276 
 
 5-3725 
 
 6-66S6 
 
 6-0440 
 
 7-4095 
 
 6-7156 
 
 
 4i 
 
 
 43 
 
 4-3881 
 
 4-0920 
 
 5-1195 
 
 4-7740 
 
 5-8508 
 
 5-4560 
 
 6-5822 
 
 6-1380 
 
 7-3135 
 
 5-8200 
 
 47 
 
 
 
 44 
 
 4-3160 
 
 4-1680 
 
 5-0354 
 
 4-8626 
 
 5-7547 
 
 5-5573 
 
 6-4741 
 
 6-2519 
 
 7-1934 
 
 6-9466 
 
 46 
 
 
 4 
 
 45 
 
 i 
 
 4-2426 
 
 4-2426 
 
 4-9497 
 
 4-9497 
 
 5-6509 
 
 5-6569 
 
 6-3640 
 
 6-3640 
 
 7-0711 
 
 7-0711 
 
 45 
 
 4 
 
 ^ 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 IDep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 
 -3 
 
 ■ 
 
 Dist.6. 1 
 
 Dist. 7. 1 
 
 Dist. 8. ! 
 
 1 Dist. 9. 
 
 Dist. 10. I 
 
 3x2 
 
340 LENGTHS OF 
 
 CIRCULAR 
 
 ARCS. 
 
 1 
 
 ^ab. 
 
 Jl' 
 
 D 
 
 1 
 
 Arc 
 
 L)t 
 
 Arc 
 
 
 Arc 
 
 f 
 ~1 
 
 Arc 
 
 'L 
 
 Arc 
 
 48 
 
 
 A 
 
 •0174533 
 
 61 
 
 1-0646508 
 
 2-1118484 
 
 2909 
 
 1 
 
 2 
 
 •0349066 
 
 62 
 
 1^0821041 
 
 122 
 
 2-1293017 
 
 2 
 
 5818 
 
 2 
 
 97 
 
 2 
 
 2 
 
 3 
 
 •0523599 
 
 63 
 
 1^0995574 
 
 123 
 
 2-1467550 
 
 3 
 
 8727 
 
 3 
 
 146 
 
 3 
 
 2 
 
 4 
 
 •0698132 
 
 64 
 
 M170107 
 
 124 
 
 2-1642083 
 
 4 
 
 11636 
 
 4 
 
 194 
 
 4 
 
 3 
 
 5 
 
 •0872665 
 
 65 
 
 M344640 
 
 125 
 
 2-1816616 
 
 b 
 
 14544 
 
 5 
 
 242 
 
 5 
 
 4 
 
 6 
 
 •1047198 
 
 66 
 
 1-1519173 
 
 126 
 
 2^1991149 
 
 6 
 
 17453 
 
 6 
 
 291 
 
 6 
 
 5 
 
 7 
 
 •1221730 
 
 67 
 
 1 •1693706 
 
 127 
 
 2-2165682 
 
 7 
 
 20362 
 
 7 
 
 339 
 
 7 
 
 6 
 
 8 
 
 •1396263 
 
 68 
 
 I •1868239 
 
 128 
 
 2-2340214 
 
 8 
 
 23271 
 
 8 
 
 388 
 
 8 
 
 6 
 
 9 
 
 •1570796 
 
 69 
 
 h2042772 
 
 129 
 
 2-2514747 
 
 9 
 
 26180 
 
 9 
 
 436 
 
 9 
 
 7 
 
 10 
 
 •1745329 
 
 70 
 
 I •2217305 
 
 130 
 
 2-2689280 
 
 10 
 
 29089 
 
 10 
 
 486 
 
 10 
 
 8 
 
 11 
 
 •1919862 
 
 71 
 
 b2391838 
 
 131 
 
 2-2863813 
 
 11 
 
 31998 
 
 11 
 
 533 
 
 11 
 
 9 
 
 12 
 
 •2094395 
 
 72 
 
 1-2566371 
 
 132 
 
 2-3038346 
 
 12 
 
 34907 
 
 12 
 
 582 
 
 12 
 
 10 
 
 13 
 
 •2268928 
 
 73 
 
 1-2740904 
 
 133 
 
 2-3212879 
 
 13 
 
 37815 
 
 13 
 
 630 
 
 13 
 
 11 
 
 14 
 
 •2443461 
 
 74 
 
 1-2915436 
 
 134 
 
 2-3387412 
 
 14 
 
 40724 
 
 14 
 
 679 
 
 14 
 
 11 
 
 15 
 
 •2617994 
 
 75 
 
 1-3089969 
 
 135 
 
 2-3561945 
 
 16 
 
 43633 
 
 15 
 
 727 
 
 16 
 
 12 
 
 16 
 
 •2792527 
 
 76 
 
 1-3264502 
 
 136 
 
 2^3736478 
 
 16 
 
 46542 
 
 16 
 
 776 
 
 16 
 
 13 
 
 17 
 
 •2967060 
 
 77 
 
 1-3439035 
 
 137 
 
 2-3911011 
 
 17 
 
 49451 
 
 17 
 
 824 
 
 17 
 
 14 
 
 18 
 
 •3141593 
 
 78 
 
 1-3613568 
 
 138 
 
 2^4085544 
 
 18 
 
 52360 
 
 18 
 
 873 
 
 18 
 
 16 
 
 19 
 
 •3316126 
 
 79 
 
 1-3788101 
 
 139 
 
 2-4260077 
 
 19 
 
 55269 
 
 19 
 
 921 
 
 19 
 
 15 
 
 20 
 
 •3490659 
 
 80 
 
 1-3962634 
 
 140 
 
 2^4434610 
 
 20 
 
 58178 
 
 20 
 
 970 
 
 20 
 
 16 
 
 21 
 
 •3665191 
 
 81 
 
 1-4137167 
 
 141 
 
 2^4609142 
 
 21 
 
 61087 
 
 21 
 
 1018 
 
 21 
 
 17 
 
 22 
 
 •3839724 
 
 82 
 
 1 •4311 700 
 
 142 
 
 2^4783675 
 
 22 
 
 63995 
 
 22 
 
 1067 
 
 22 
 
 18 
 
 23 
 
 •4014257 
 
 83 
 
 1-4486233 
 
 143 
 
 2-4958208 
 
 23 
 
 66904 
 
 23 
 
 1116 
 
 23 
 
 19 
 
 24 
 
 •4188790 
 
 84 
 
 1-4660766 
 
 144 
 
 2^5132741 
 
 24 
 
 69813 
 
 24 
 
 1164 
 
 24 
 
 19 
 
 25 
 
 •4363323 
 
 85 
 
 1-4835299 
 
 145 
 
 2^5307274 
 
 25 
 
 72722 
 
 26 
 
 1212 
 
 26 
 
 20 
 
 26 
 
 •4537856 
 
 86 
 
 1-5009832 
 
 146 
 
 2^5481807 
 
 26 
 
 76631 
 
 26 
 
 1261 
 
 26 
 
 21 
 
 27 
 
 •4712389 
 
 87 
 
 1-5184364 
 
 147 
 
 2-5656340 
 
 27 
 
 78540 
 
 27 
 
 1309 
 
 27 
 
 22 
 
 28 
 
 •4886922 
 
 88 
 
 1-5358897 
 
 148 
 
 2-5830873 
 
 28 
 
 81449 
 
 28 
 
 1357 
 
 28 
 
 23 
 
 29 
 
 •5061455 
 
 89 
 
 1-5533430 
 
 149 
 
 2-6005406 
 
 29 
 
 84358 
 
 29 
 
 1406 
 
 29 
 
 23 
 
 30 
 
 •5235988 
 
 90 
 
 b5707963 
 
 150 
 
 2-6179939 
 
 30 
 
 87266 
 
 30 
 
 1454 
 
 30 
 
 24 
 
 31 
 
 •5410521 
 
 91 
 
 1-5882496 
 
 151 
 
 2-6354472 
 
 31 
 
 90175 
 
 31 
 
 1603 
 
 31 
 
 25 
 
 32 
 
 •5585054 
 
 92 
 
 1-6067029 
 
 152 
 
 2-6529005 
 
 32 
 
 93084 
 
 32 
 
 1651 
 
 32 
 
 26 
 
 33 
 
 •5759587 
 
 93 
 
 1-6231562 
 
 153 
 
 2-6703538 
 
 33 
 
 95993 
 
 33 
 
 1599 
 
 33 
 
 27 
 
 34 
 
 •5934119 
 
 94 
 
 1-6406095 
 
 154 
 
 2-6878070 
 
 34 
 
 98902 
 
 34 
 
 1648 
 
 34 
 
 27 
 
 35 
 
 •6108652 
 
 95 
 
 1-6580628 
 
 155 
 
 2-7052603 
 
 35 
 
 101811 
 
 36 
 
 1697 
 
 35 
 
 28 
 
 36 
 
 •6283185 
 
 96 
 
 1-6756161 
 
 156 
 
 2-7227136 
 
 36 
 
 104720 
 
 36 
 
 1745 
 
 36 
 
 29 
 
 37 
 
 •6457718 
 
 97 
 
 1-6929694 
 
 157 
 
 2-7401669 
 
 37 
 
 107629 
 
 37 
 
 1794 
 
 37 
 
 30 
 
 38 
 
 •6632251 
 
 98 
 
 1-7104227 
 
 158 
 
 2-7576202 
 
 38 
 
 110538 
 
 38 
 
 1842 
 
 38 
 
 31 
 
 39 
 
 •6806784 
 
 99 
 
 1-7278760 
 
 159 
 
 2-7750736 
 
 39 
 
 113446 
 
 39 
 
 1891 
 
 39 
 
 32 
 
 40 
 
 •6981317 
 
 100 
 
 1-7453293 
 
 160 
 
 2-7926268 
 
 40 
 
 116365 
 
 40 
 
 1939 
 
 40 
 
 32 
 
 41 
 
 •7155850 
 
 101 
 
 1-7627825 
 
 161 
 
 2-8099801 
 
 41 
 
 119264 
 
 41 
 
 1988 
 
 41 
 
 33 
 
 42 
 
 •7330383 
 
 102 
 
 1-7802358 
 
 162 
 
 2-8274334 
 
 42 
 
 122173 
 
 42 
 
 2036 
 
 42 
 
 34 
 
 43 
 
 •7504916 
 
 103 
 
 1-7976891 
 
 163 
 
 2-8448867 
 
 43 
 
 125082 
 
 43 
 
 2085 
 
 43 
 
 35 
 
 44 
 
 •7679449 
 
 104 
 
 1-8151424 
 
 164 
 
 2-8623400 
 
 44 
 
 127991 
 
 44 
 
 2133 
 
 44 
 
 36 
 
 45 
 
 •7853982 
 
 105 
 
 1-8325957 
 
 165 
 
 2-8797933 
 
 45 
 
 130900 
 
 45 
 
 2182 
 
 45 
 
 36 
 
 46 
 
 •8028515 
 
 106 
 
 1-8500490 
 
 166 
 
 2-8972466 
 
 46 
 
 133809 
 
 46 
 
 2230 
 
 46 
 
 37 
 
 47 
 
 •8203047 
 
 107 
 
 1-8675023 
 
 167 
 
 2-9146999 
 
 47 
 
 136717 
 
 47 
 
 2279 
 
 47 
 
 38 
 
 48 
 
 •8377580 
 
 108 
 
 1-8849556 
 
 168 
 
 2-9321631 
 
 48 
 
 139626 
 
 48 
 
 2327 
 
 48 
 
 39 
 
 49 
 
 •8552113 
 
 109 
 
 1 -9024089 
 
 169 
 
 2-9496064 
 
 49 
 
 142635 
 
 49 
 
 2376 
 
 49 
 
 40 
 
 50 
 
 •8726646 
 
 110 
 
 1-9198622 
 
 170 
 
 2-9670597 
 
 60 
 
 146444 
 
 50 
 
 2424 
 
 50 
 
 40 
 
 51 
 
 •8901179 
 
 111 
 
 1-9373155 
 
 171 
 
 2-9845130 
 
 51 
 
 148353 
 
 51 
 
 2473 
 
 51 
 
 41 
 
 52 
 
 •9075712 
 
 112 
 
 1-9547688 
 
 172 
 
 3-0019663 
 
 52 
 
 151262 
 
 52 
 
 2621 
 
 52 
 
 42 
 
 53 
 
 •9250245 
 
 113 
 
 b9722220 
 
 173 
 
 3-0194I 96 
 
 53 
 
 154171 
 
 53 
 
 2670 
 
 53 
 
 43 
 
 54 
 
 •9424778 
 
 114 
 
 1-9896753 
 
 174 
 
 3-0368729 
 
 54 
 
 167080 
 
 54 
 
 2618 
 
 54 
 
 44 
 
 55 
 
 •9599311 
 
 115 
 
 2-0071286 
 
 175 
 
 3-0543262 
 
 55 
 
 169989 
 
 55 
 
 2666 
 
 55 
 
 44 
 
 56 
 
 •9773844 
 
 116 
 
 2-0245819 
 
 176 
 
 3-0717795 
 
 56 
 
 162897 
 
 56 
 
 2715 
 
 56 
 
 46 
 
 67 
 
 •9948377 
 
 117 
 
 2^0420352 
 
 177 
 
 3-0892328 
 
 57 
 
 166806 
 
 57 
 
 2763 
 
 57 
 
 46 
 
 58 
 
 1^01229]0 
 
 118 
 
 2-0594885 
 
 178 
 
 3-1066861 
 
 58 
 
 168715 
 
 58 
 
 2812 
 
 58 
 
 47 
 
 59 
 
 1 -0297443 
 
 119 
 
 2^0769418 
 
 179 
 
 3-1241394 
 
 59 
 
 171624 
 
 59 
 
 2860 
 
 59 
 
 48 
 
 60 
 D 
 
 b047l976 
 
 120 
 
 2-0943951 
 
 180 
 
 3-1415927 
 
 60 
 
 174533 
 
 60 
 // 
 
 2909 
 vrc 
 
 60 
 
 III 
 
 48 
 
 Arc 
 
 De 
 
 Arc 
 
 Del Arc 
 
 Arc 
 
Tab. 13. COMMON AND HYP. LOGARITHMS. 
 
 141 
 
 CL HYP. LO. 
 
 02302585 
 04G051/0 
 06907755 
 09210340 
 11512925 
 13815511 
 16118096 
 18420681 
 20723266 
 23025851 
 25328436 
 27631021 
 29933606 
 32236191 
 34538776 
 36841361 
 39143947 
 41446532 
 43749117 
 46051702 
 
 48354287 
 50656872 
 52959457 
 55262042 
 57564627 
 
 HYP. LO. 
 
 598672121 
 62169798 
 64472383 
 66774968 
 69077553 
 71380138 
 73682723' 
 7598530L, 
 78287893! 
 80590478 
 82893063 
 85195648 
 87498234 
 89800819 
 92103404 
 94405989 
 96708574 
 99011159 
 01313744 
 03616329 
 05918914 
 08221499 
 10524084 
 12826670 
 15129255 
 
 CL HYP. LO. CL HYP. LO. 
 
 17431840 
 19734425 
 22037010 
 24339695 
 26642180 
 28944765 
 31247350 
 33549935 
 35852520 
 38155106 
 40457691 
 42760276 
 45062861 
 47365446 
 49668031 
 51970616 
 54273201 
 56575786 
 58878371 
 61180957 
 63483542 
 65786127 
 68088712 
 70391297 
 72693882 
 
 1-74996467 
 1-77299052 
 1-79601637 
 1-81904222 
 1-84206807 
 1-86509393 
 1-88811978 
 1-91 114563 
 1-93417148 
 1-95719733 
 1-98022318 
 2-00324903 
 2-02627488 
 2-04930073 
 2-07232658 
 2-09536243 
 2-11837829 
 2-14140414 
 2-16442999 
 2-18745584 
 2-21048169 
 2-23360754 
 2-25653339 
 2-27965924 
 2-30258509 
 
 A TABLE of Rumbs, shewing the Degrees, Minutes, and 
 Seconds, that every Point and Quarter-point of the Com- 
 pass makes with the Meridian. Tab. 1 4 
 
 No 
 
 ith 
 
 Pts 
 
 .qr. 
 
 
 
 
 
 1 
 
 
 
 
 
 2 
 
 
 
 
 
 3 
 
 NbE 
 
 NbW 
 
 1 
 i 
 
 
 
 1 
 
 
 
 1 
 
 2 
 
 
 
 I 
 
 3 
 
 NNE 
 
 NNW 
 
 2 
 
 
 
 
 
 2 
 
 1 
 
 
 
 2 
 
 2 
 
 
 
 2 
 
 3 
 
 NEbN 
 
 NWbN 
 
 3 
 
 
 
 
 
 3 
 
 1 
 
 
 
 3 
 
 2 
 
 
 
 3 
 
 3 
 
 NE 
 
 NW 
 
 4 
 
 
 
 
 
 4 
 
 1 
 
 
 
 4 
 
 2 
 
 
 
 4 
 
 3 
 
 NEbE 
 
 NWbW 
 
 5 
 
 
 
 
 
 5 
 
 1 
 
 
 
 5 
 
 2 
 
 
 
 5 
 
 3 
 
 ENE 
 
 VVNW 
 
 6 
 
 
 
 
 
 6 
 
 I 
 
 
 
 6 
 
 2 
 
 
 
 6 
 
 3 
 
 EbN 
 
 WbN 
 
 7 
 
 
 
 
 
 7 
 
 1 
 
 
 
 7 
 
 2 
 
 
 
 7 
 
 3 
 
 East 
 
 West 
 
 8 
 
 
 
 / 
 
 // 
 
 Pts 
 
 qr. 
 
 48 
 
 45 
 
 
 
 1 
 
 37 
 
 30 
 
 
 
 2 
 
 26 
 
 15 
 
 
 
 3 
 
 15 
 
 
 
 1 
 
 
 
 3 
 
 45 
 
 1 
 
 1 
 
 52 
 
 30 
 
 1 
 
 2 
 
 41 
 
 15 
 
 1 
 
 3 
 
 30 
 
 
 
 2 
 
 
 
 18 
 
 45 
 
 2 
 
 1 
 
 7 
 
 30 
 
 2 
 
 2 
 
 56 
 
 15 
 
 2 
 
 3 
 
 45 
 
 
 
 3 
 
 
 
 33 
 
 45 
 
 3 
 
 1 
 
 22 
 
 30 
 
 3 
 
 2 
 
 11 
 
 15 
 
 3 
 
 3 
 
 
 
 
 
 4 
 
 
 
 48 
 
 45 
 
 4 
 
 1 
 
 37 
 
 30 
 
 4 
 
 2 
 
 26 
 
 15 
 
 4 
 
 3 
 
 15 
 
 
 
 5 
 
 
 
 3 
 
 45 
 
 5 
 
 1 
 
 52 
 
 30 
 
 5 
 
 2 
 
 41 
 
 16 
 
 5 
 
 3 
 
 30 
 
 
 
 6 
 
 
 
 18 
 
 46 
 
 6 
 
 1 
 
 7 
 
 30 
 
 6 
 
 2 
 
 56 
 
 15 
 
 6 
 
 3 
 
 45 
 
 
 
 7 
 
 
 
 33 
 
 46 
 
 7 
 
 1 
 
 22 
 
 30 
 
 7 
 
 2 
 
 11 
 
 15 
 
 7 
 
 3 
 
 
 
 
 
 8 
 
 
 
 South 
 
 SbE 
 
 SSE 
 
 SEbS 
 
 SE 
 
 SEbE 
 
 ESE 
 
 E b S 
 
 East 
 
 S b W 
 
 ssw 
 
 SW b s 
 
 sw 
 
 SW b w 
 
 wsw 
 
 W b s 
 
 West 
 
342 A LIST OF ERRORS DISCOVERED AXD CORRECTED. 
 
 I. In Gardiner s Edition of 1742, in 4to. 
 
 In (Ik Logarithms. 
 
 101213 
 
 3630 
 
 14 
 
 4059 
 
 15 
 
 4488 
 
 W 
 
 4917 
 
 U 
 
 5346 
 
 21308 
 
 5427 
 
 26719 
 
 8202 
 
 29315 
 
 0899 
 
 34259 
 
 7747 
 
 34728 
 
 6798 
 
 35704 
 
 7534 
 
 61193 
 
 2106 
 
 S9502 
 
 5316 
 
 60844 
 
 2178 
 
 64445 
 
 1892 
 
 65640 
 
 1686 
 
 66607 
 
 5199 
 
 67329 
 
 2022 
 
 69519 
 
 1035 
 
 71492 
 
 2574 
 
 ' 73,338 
 
 3291 
 
 73983 
 
 1319 
 
 74294 
 
 9537 
 
 74742 
 
 5647 
 
 75561 
 
 2977 
 
 76000 
 
 8136 
 
 76041 
 
 0478 
 
 76031 
 
 9907 
 
 77316 
 
 2694 
 
 82958 
 
 8583 
 
 Absolute Nu 
 
 nibers. 
 
 6462 
 
 6492 
 
 8668 
 
 8688 
 
 9167 
 
 9157 
 
 
 
 In the S 
 
 ines. 
 
 0° 
 
 40' 
 
 45" 
 
 8-0738436 
 
 
 
 59 
 
 12 
 
 8-2360264 
 
 1 
 
 7 
 
 48 
 
 8-2949277 
 
 1 
 
 24 
 
 
 
 8-3879622 
 
 2 
 
 4 
 
 
 
 8-5570536 
 
 11 
 
 24 
 
 10 
 
 9-2960174 
 
 13 
 
 27 
 
 30 
 
 ^'2,m'i67G 
 
 32 
 
 3 
 
 50 
 
 9-7249837 
 
 37 
 
 26 
 
 20 
 
 275 diff. 
 
 37 
 
 26 
 
 50 
 
 275 difF. 
 
 52 
 
 32 
 
 40 
 
 162 difF. 
 
 55 
 
 43 
 
 10 
 
 9-9171322 
 
 65 
 
 4 
 
 20 
 
 ^7 difF. 
 
 65 
 
 4 
 
 30 
 
 98 difF. 
 
 65 
 
 4 
 
 30 
 
 9-9575403 
 
 70 
 
 30 
 
 SO 
 
 9-97^3838 
 
 75 
 
 53 
 
 30 
 
 52 difF. 
 
 77 
 
 22 
 
 20 
 
 9-9893657 
 
 82. 
 
 
 
 40 
 
 9-9957646 
 
 85 
 
 55 
 
 
 
 9-9988962 
 
 
 In 
 
 the Tai 
 
 gents'. 
 
 3» 
 
 21' 
 
 0" 
 
 8-7674175 
 
 8 
 
 36 
 
 20 
 
 9-1799393 
 
 10 
 
 13 
 
 50 
 
 9-2564267 
 
 .13 
 
 21 
 
 30 
 
 9-3756001 
 
 43 
 
 56' 
 
 30 
 
 9-9839523 
 
 44 
 
 12 
 
 20 
 
 9-9879549 
 
 68 
 
 19 
 
 20 
 
 10-4006638 
 
 71 
 
 21 
 
 
 
 10-4717147 
 
 73 
 
 18 
 
 
 
 10-5228579 
 
 77 
 
 1 
 
 40 
 
 10-6375975 
 
 84 
 
 7 
 
 10 
 
 10-9871756 
 
 86 
 
 39 
 
 40 
 
 11-2340287 
 
 87 
 
 19 
 
 20 
 
 11-3300317 
 
 88 
 
 20 
 
 30 
 
 11-5383295 
 
 89 
 
 55 
 
 10 
 
 12-8520268 
 
 L to 20 places, 916. 
 
 96189 
 
 Expl.&Use 
 
 ,p.ll,1.4b 
 
 ot. m|, m\. 
 
 y^ 
 
 
 
 
 Note, that some very few places are omitted where a figure does not perfectly appear, as they 
 are not real errors, and cannot mislead, but may easily be filled up by the differences. — It is 
 also to be observed, that some of these errors in both the books are not in all copies of the 
 same edition, as I have experienced by collating divers copies : a circumstance probably occa- 
 sioned by types sometimes working out at the press, and carelessly supplied again ; and some- 
 times by discovering and correcting errors after the copies of some sheets have been but partly 
 worked df. And the same in the French edition following. — All the real errors in both books 
 are brought together in these tables, both those I have seen printed elsewhere, and those re- 
 ceived by private communication, besides upwards of twenty detected by myself, in comparing 
 the proofe of my book with the like p^jrts of the others. 
 
tN LOGARITHMIC TABLES. 
 
 343 
 
 II. Jw the Avignon Edition of 1770. 
 
 In the ijogarithms. 
 
 100288 
 
 4897 
 
 100499 
 
 6174 
 
 101213 
 
 3630 
 
 14 
 
 4059 
 
 15 
 
 4488 
 
 16 
 
 4917 
 
 17 
 
 5346 
 
 14151 
 
 7871 
 
 17740 
 
 9536 
 
 24626 
 
 3939 
 
 25803 
 
 6702 
 
 33071 
 
 4473 
 
 34259 
 
 7747 
 
 34728 
 
 6798 
 
 37268 
 
 3361 
 
 37696 
 
 2953 
 
 38119 
 
 1415 
 
 42431 
 
 6833 
 
 43284 
 
 3274 
 
 44218 
 
 5991 
 
 44781 
 
 0938 
 
 46309 
 
 6654 
 
 46559 
 
 0036 
 
 51193 
 
 2106 
 
 54681 
 
 8364 
 
 58987 
 
 7563 
 
 59502 
 
 5316 
 
 59889 
 
 3471 
 
 €0844 
 
 2178 
 
 63064 
 
 7815 
 
 64149 
 
 1899 
 
 64347 
 
 5283 
 
 64445 
 
 1892 
 
 64881 
 
 1175 
 
 €8128 
 
 3256 
 
 68761 
 
 3422 
 
 68859 
 
 9607 
 
 69339 
 
 9776 
 
 69519 
 
 1035 
 
 69533 
 
 1910 
 
 70076 
 
 5693 
 
 71021 
 
 3864 
 
 74703 
 
 3380 
 
 81674 
 
 0838 
 
 84393 
 
 3068 
 
 85328 
 
 0916 
 
 86486 
 
 9458 
 
 89322 
 
 9584 
 
 89680 
 
 6956 
 
 94841 
 
 9961. 
 
 93614 
 
 3408 
 
 Absolute T 
 
 lumbers. 
 
 4770 
 
 4670 
 
 3520 
 
 5520 
 
 7235 
 
 7135 
 
 7635 
 
 7535 
 
 Sheet c last lu 
 
 le, M^, ir 
 
 Pro.P 
 
 arts. 
 
 Sh.i. ] 
 
 Jif. 94 
 
 9 
 
 85 
 
 In the Sines. 
 
 0° 
 
 6' 
 
 36'' 
 
 7-2832698 
 
 
 
 15 
 
 36 
 
 7-6568492 
 
 
 
 37 
 
 3 
 
 8-0325059 
 
 
 
 45 
 
 30 
 
 8-1217248 
 
 2 
 
 10 
 
 35 
 
 8-5795094 
 
 2 
 
 34 
 
 53 
 
 8-6535839 
 
 2 
 
 37 
 
 28 
 
 8-6607629 
 
 2 
 
 39 
 
 23 
 
 8-6660134 
 
 3 
 
 11 
 
 38 
 
 8-7459722 
 
 3 
 
 26 
 
 47 
 
 8-7789797 
 
 18 
 
 44 
 
 20 
 
 621 difF. 
 
 45 
 
 4 
 
 50 
 
 9-8500947 
 
 65 
 
 4 
 
 20 
 
 97 difF. 
 
 
 
 30 
 
 98 difF. 
 
 
 
 30 
 
 9-9575403 
 
 67 
 
 17 
 
 30 
 
 9-9649579 
 
 75 
 
 53 
 
 30 
 
 52 difF. 
 
 83 
 
 52 
 
 10 
 
 9-9999154 
 
 
 In 
 
 the Tangents. 
 
 0° 
 
 9' 
 
 17" 
 
 7-4314311 
 
 
 
 11 
 
 47 
 
 7-5349960 
 
 
 
 14 
 
 23 
 
 7-6215882 
 
 
 
 23 
 
 38 
 
 7-8372579 
 
 
 
 24 
 
 16 
 
 7-8487435 
 
 
 
 24 
 
 54 
 
 7-8599331 
 
 
 
 37 
 
 15 
 
 8-0348694 
 
 1 
 
 19 
 
 15 
 
 8-3628023 
 
 1 
 
 22 
 
 57 
 
 8-3826268 
 
 3 
 
 
 
 7 
 
 8-7196777 
 
 3 
 
 6 
 
 28 
 
 8-7347535 
 
 3 
 
 19 
 
 9 
 
 8-7633926 
 
 3 
 
 54 
 
 38 
 
 8-B347909 
 
 5 
 
 5 
 
 
 
 8-9491676 
 
 17 
 
 39 
 
 40 
 
 9-5029635 
 
 23 
 
 5 
 
 20 
 
 9-6297224 
 
 23 
 
 22 
 
 
 
 9-6355321 
 
 35 
 
 4 
 
 40 
 
 9-8464809 
 
 67 
 
 13 
 
 50 
 
 10-3770260 
 
 73 
 
 20 
 
 50 
 
 10-5241600 
 
 88 
 
 3 
 
 10 
 
 11-4685399 
 
 
 Sheet S 1 
 
 79 deg. 
 
 
 
 T4 
 
 12° 60' 
 
 
 Table to 20 
 
 places. 
 
 
 
 59 
 
 77085-20 &c. 
 
 
 
 825 
 
 91645-39485 
 
 
 
 1083 
 
 03462-84566 
 
 
 Table III. 
 
 Fthe same. ' 
 
 DifF.n.ib.00127 
 
 53175-47 &c. 
 
 Logist. 
 
 Log. 
 
 0' 52" 
 
 Hyp.L. 
 
 6-75 
 
 1-9095425 ^ 
 
 
 In the las 
 
 tpage. 
 
 
 line 20 
 
 0-0019633 
 
 
 
 22 
 
 1-2403375 
 
 
 
 24 
 
 1-2403375 
 
 
 
 26 
 
 5-8455077 
 
344 
 
 A LIST OF EftRORS CORRECTED, &C. 
 
 III. The following List of Errors in Callet's Tables Portatives have been 
 discovered in reading his book with the proof-sheets of the 2d edition of 
 my Tables. 
 
 In Callet's Tables Portatives, Paris 1783. 
 
 In the Introduction, 
 Page 9, line 1 , read i/b 
 41, — 9, — comprise 
 
 19, -W 
 44, — 10, — L'lc 
 46, —28,— Sp. 
 
 In the Logarithms 
 
 47891 
 
 2539 
 
 60844 
 
 2178 
 
 64113 
 
 9461 
 
 64445 
 
 1892 
 
 64547 
 
 8761 
 
 70357 
 
 3073 
 
 76872 
 
 7682 
 
 77054 
 
 8515 
 
 78050 
 
 3729 
 
 99018 
 
 7142 
 
 IV. In Taylor's Tables, London 1792 ; besides those mentioned in the book 
 ' itself. / 
 
 Page 56, line 32, for-}- 2, read -|- l. 2 
 
 57, — 10 and 1 1 , read only viie root 
 
 P ^^.A P 
 
 •—16, for L read 
 
 — 25, for _ read 
 
 27, for 4p read |p 
 
 In the 
 
 Sines. 
 
 to 23' 
 
 38'/ 
 
 43007 
 
 I 23 
 
 39 
 
 43281 
 
 v. In Callet's Stereotype Edition, Paris 1795. 
 
 In the L 
 
 ogar 
 
 thms. 
 
 1014 
 
 3795 
 
 24626 
 
 3939 
 
 33071 
 
 4473 
 
 43130 
 
 7795 
 
 63919 
 
 7418 
 
 56246 
 
 0916 
 
 67319 
 
 2986 
 
 81674 
 
 0838 
 
 99018 
 
 7142 
 
 fable I. 
 
 t6 20 Places. 
 
 965 
 
 56538 
 
 1071 
 
 94608 
 
 1085 
 
 85148 
 
 1105 
 
 21729 
 
 1115 
 
 84779 
 
 1125 
 
 47981 
 
 1135 
 
 29741 
 
 fable II 
 
 I. of the same. 
 
 00132 
 
 Dif. 34589 
 
 In the Differences. 
 
 185 — 1 
 
 185 — 3 
 
 66-- 6 
 
 19 
 
 56 
 40 
 
 In the Tangents. 
 
 0° 23' 38" 
 24 54 
 
 2579 
 9331 
 
 VI. In the Table Trigonometriques 
 Decimates, of 1801. 
 
 In the Logarithms. 
 
 Num. 
 
 Log. 
 
 24626 
 
 3939 
 
 33071 
 
 4473 
 
 53919 
 
 7418 
 
 81674 
 
 0838 
 
 Printed hy S. Heiinihon» Wcybridge. 
 
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