ee ee een aa Mestith Shere Sul NS PO ae “aye UNIVERSITY OF ILLINOIS LIBRARY AT URBANA-CHAMPAIGN MATHEMATICS The person charging this material is re- sponsible for its return to the library from which it was withdrawn on or before the Latest Date stamped below. Theft, mutilation, and underlining of books are reasons for disciplinary action and may result in dismissal from the University. To renew call Telephone Center, 333-8400 UNIVERSITY OF ILLINOIS LIBRARY AT URBANA-CHAMPAIGN 6 1987 a 2me a ~ a> | APR i8 RED MAY 31 1995 MAY 12 SCD RBG 27 COR MAY 22 RED L161—O-1096 Digitized by the Internet Archive in 2022 with funding from University of Illinois Urbana-Champaign https://archive.org/details/tablesoflogarithOOstan_0 _ oe 7 = + iu ha hive ole yt a % ure ae i Ad | : , 7 7 "1 We oe | a ; ti i . he, weev Faery psa, eu he «, eae aa ; 7 em aast tiie Pr , "Ngee y J eo a Mot 1 | 7 , 2 Pee Ms ? t Mt J : 7 uy, - Jae 1 hy ay Ny ; i TABLES or LOGARITHMS OF NUMBERS, AND OF LOGARITHMIC SINES, TANGENTS AND SECANTS, TO SEVEN PLACES OF DECIMALS; TOGETHER WITH OTHER TABLES OF FREQUENT USE IN THE STU DY0F. MAT HEM -A-PICS, AND IN PRACTICAL CALCULATIONS. BY DN THON YD. SEA Niskoy os Ae Me: Professor of Mathematics in Yale College. NEW HAVEN: DURRIE & PECK. PRINTED BY B. L. HAMLEN, Printer to Yale College. 1847. Entered, according to Act of Congress, in the year 1846, by Antuony D. Staytey, in the Clerk’s office of the District Court of Connecticut. Composition and Presswork by ; B. L. HAMLEN, New Haven. ead Stereotyped by RICHARD H. HOBBS, Hartford. Ves oe © ‘- le ee ee PREFACE. Tue following collection of tables has been prepared, chiefly with a view to meet the wants of college students. ‘Tables of much less extent would perhaps be regarded by many as sufli- cient for this purpose: and such indeed are most of the tables in common use. ‘hese smaller tables are doubtless suitable enough for the illustration of principles and rules of calculation ; but from the inaccurate results which they usually give in the solu- tion of problems, they enable the mathematical student who em- ploys them, to see but little of the use of tables to the computer. Tables in which the logarithms of numbers are carried to as many as seven places of decimals are needed for the proper solution of many of the problems to be met with in any common course of mathematics. Indeed logarithms of five or six places of dec- imals are now seldom used in calculations requiring any but the lowest degree of accuracy. In F'rance, at the examinations for admission to the military and naval schools, candidates have for several years been required in their computations to use loga- rithms of seven decimal figures. ‘The tables which are there most generally used are those of Callet. 'The tables of like ex- tent most commonly employed in England are Hutton’s: and those of Vega are most used in Germany. ‘The only similar ta- bles hitherto published in this country are Hassler’s: and these have been found so inconvenient from the smallness of the type ¥in which they are printed, that they are much less used than Sthose of Hutton and Callet imported from abroad. = 'The following work is one of sufficient extent to furnish nearly »the same aid to computers as is afforded by the tables of Hutton Sor Callet. In presenting it to the public, our principal concern is to show that proper care has been taken to secure its correct- ©ness, in carrying it through the press; as anew work of this kind | ‘inaccurately printed would be worse than useless. We therefore -state the following particulars. The pages of the tables were first made by the printer to agree very nearly with the copy. _ Four or five proofs of each were afterwards read in connection (4) PREFACE. with different tables, before the work was printed. 'T'wo and in several cases three proofs were examined before the page was stereotyped, and two proofs from the plates were examined after- wards. ‘This proof reading was done exclusively by the writer. In comparing the proofs with different tables, the corresponding columns of figures were in each case placed closely side by side, that the eye might readily detect any disagreement. An exam- ination of the proofs with the assistance of another in the ordi- nary way, would have required much less time: but the other method was preferred as better suited for the detection of errors. The tables employed in correcting the proofs were chiefly those of Vega, Callet, Hutton, Babbage and Shortrede. Babbage and Callet were most relied on for accuracy. But their tables were not found free from error. It is a common opinion with regard to works which have been stereotyped, that while they are open to correction as errors are discovered in them from time to time, they are also made permanently secure of whatever de- gree of accuracy they once acquire. But in using two copies of Callet’s tables, one of recent and one of earlier date, it was seen that some errors from which the latter was free, had found their way into the former. A notice of several errors observed in the different tables which we have had occasion to examine, will be published in another place. After the following tables were ready for the press, the editor found among the Memoirs of the Astronomical Society of Lon- don an article by Mr. Babbage, in which he mentions six errors that are common to almost all the tables of logarithms he has seen. From his own table these errors are of course excluded. And as that had been used in correcting the first proofs of the following table of logarithms, we were furnished with tolerable means of forming an opinion concerning the merits or defects of the first proof reading. On referring to the proofs concerned, it was found that all the errors in question had been noticed and corrected. Our second proofs of the table of logarithms were compared with Shortrede’s table. We therefore examined this table with reference to the errors noticed by Babbage; and in it found five of them. We then referred to a list of nine or ten errors that we had discovered in the same table, and found all of these five among them; which encouraged the belief that not many errors had been overlooked in the second proof reading. PREFACE. (5) As we are informed that Babbage’s table was employed in the correction of Shortrede’s, it seems a little remarkable that all the five errors referred to should have escaped notice. But the general correctness of the latter table need not be therefore dis- trusted, as we may infer from what is stated above, that those errors form a large proportion of all the errors which it contains. Next in importance to the table of logarithms of numbers, 1s that of logarithmic sines, tangents, &c. Hutton in his table of sines, tangents, &c. gives them only at intervals of a minute each, through all except the first two degrees of the quadrant, where sines and tangents are given for every second. 'The differences of successive sines, tangents, &c. in some parts of his table are accordingly quite large, and in finding intermediate sines, tan- gents, &c. the process of interpolation is inconveniently long. ‘There is also room for considerable error in this process, unless second differences are taken into account, which would render the work still longer. In Callet’s table, sines and tangents are given at intervals of seconds for the first five degrees, and sines, cosines, tangents and cotangents, at intervals of ten seconds for the whole of the quadrant. His table is therefore much more convenient than Hutton’s. In one respect however it is less con- venient, as it fails to give secants and cosecants, which Hutton does not omit. We have endeavored to combine the main advantages of these two tables in the second table of this collection. In giving se- -eants and cosecants, our table agrees with that of Hutton. It differs from his chiefly in giving sines, tangents, &c. at intervals of ten seconds instead of minutes, for the first fifteen degrees. In consequence of this and of a special arrangement for the first two degrees, no error greater than a unit in the last place of deci- mals can happen in any part of the table, from the neglect of second differences in interpolation; whereas there would have been room for errors thirty-six times as great as this, if the sines, tangents, &c. had been given, as in Hutton’s table, only to min- utes, after the second degree of the quadrant. ‘There are many cases in which a required result cannot be accurately determined, unless the result be known approximately from some preliminary calculation. This first calculation does not commonly require to be made with much exactness: and if it be logarithmic, it ought to be made with logarithms of less than (6) PREFACE. seven decimal figures. For convenient use in hasty calculations of this and other kinds, we have added to the larger tables of logarithms and logarithmic sines, tangents, &c. smaller tables of logarithms, antilogarithms, logarithmic sines, tangents, &c. car- ried only to five places of decimals. Before we determined to embrace these tables in the collection to be made, we had intended that the two leading tables should be followed by a variety of smaller ones, useful in navigation, surveying, &c. Several such tables were accordingly selected and prepared for the press, but most of them were set aside to make room for the smaller logarithmic tables, which seemed likely to be of more general use. A few of the most important however have been retained, and will be found at the end of the volume. The table on page 338 was copied from one in common use, the correctness of which we had no reason to distrust. But after — this page was stereotyped, we observed that the numbers in it could not be depended on for accuracy in their final figures. This ~ defect may however be deemed of little practical importance, as no great exactness is called for in cases where those numbers are used, ‘The table of meridional parts, which was prepared for the stere- otyper immediately after page 338, was withheld till it could be examined, cursorily at least, with reference to such inaccuracies © as had been observed in that page. And in this table too, sev- eral numbers were found erroneous, by a unit, in the final figure. ‘These were corrected: but the table may still contain errors of — the kind in question, as the examination was a hasty one, being much less thorough than it would have been had the occasion — for it been earlier suggested. The numbers given in this table are carried to the first place of decimals. Meridional parts given in whole numbers, as they commonly are, are unsuitable for use in many cases where accuracy is demanded. CONTENTS. INTRODUCTION. of Logarithms Of the Table of Pegucitias of Nam bsts : ** Table of Artificial Sines, Tangents, &c. ** Table of Natural Sines and Cosines “¢ Smaller Table of Logarithms of Numbers . “© Table of Antilogarithms ** Smaller Table of Artificial Sines, Panrenes &e. ‘© Traverse Table ‘¢ Table of Meridional Parts : “Table for correcting Middle Latitude : “© Table of Logarithms for computing Compound inereee &c. *¢ Tables for interchanging Common and Hyperbolic Loga- rithms : “© Table for finding the Pawns of eieulat anes ** Tables on page 340 : TABLES. ‘Table of Logarithms of Numbers ‘Table of Artificial Sines, Tangents, &c. 'Table of Natural Sines and Cosines Smaller Table of Logarithms of Numbers ‘Table of Antilogarithms Smaller Table of Artificial Sines, Ataaget ts io. Traverse Table or Table of Departure and Difference of Tesitiida Table of Meridional Parts Workman’s Table for correcting Middle Tatitode : Table of Logarithms for computing Compound Interest, &c. Table for converting Common into Hyperbolic Logarithms Table for converting Hyperbolic into Common Logarithms Table for finding the Lengths of Circular Ares Table of Logarithms carried to thirty places of decimals ‘Table of Numbers often used Nore.—There is an error in several copies of the tables, that was occasion- ed by a mistake of the stereotyper in substituting 0 for a 6 which had been marked as imperfect, in the final proof for his use. The error is on page 205, in the cosine of 7° 50’ 40”, which should be 9.9959169 instead of 9.9959109. ' DN TT RSE Det CT UCrN: LOGARITHMS. Arr. 1. A Logarirum of a number ts the EXPONENT which shows what power* that number is of a given number. Thus if the given number is 2, the logarithm of 8 is 3, that of 32 is 5, that of 64 is 6, &c. because 8 =2?, 32=2°, 64=2°, &c. andif 3 is the given number, the logarithm of 9 is 2, that of 27 is 3, that of Slis 4, &c. ‘To distinguish the logarithms of one of these two classes from those of the other, the former are said to belong to a system of logarithms of which 2 is the base, and the latter to a_ system of which 3 is the base. ‘To make either system complete, the logarithms of all the numbers 1, 2, 3, 4, &c. must be obtained, by regarding each number as a power of the base, and finding the exponent which denotes what that power is. Thus if the base is 2, each number is to be considered as a power of 2, and the exponent denoting the power is to be ascertained, and taken for the logarithm of the number. For example, let the number be 13: this is greater than 2° and less than 2‘; and there is some number between 3 and 4, which in- dicates what power 13 is of 2: that number is the logarithm of 13; and though not assignable at once, it may be determined without difficulty by various methods of calculation which need not be specified here. Any number except one may be made the base of a system of logarithms ; for by giving the number different indices, we may form powers of it that shall equal any numbers whatever; but as all the powers and roots of one are alike, we cannot represent other numbers by any powers or roots of the number one. 2. Logarithms are employed chiefly to facilitate numerical cal- culations. And for this purpose it is best to make use of the 4 The word power is often used to denote a quantity with any index whether : 44 2 4 7-2 5 fractional or integral, positive or negative. In this sense,a*,a@ ,a areall powers of a. With this extended meaning the term is employed in these pages. B (10) INTRODUCTION. logarithms of no more than one system. 'The method of pre- paring for use a system of logarithms, is to take the numbers I, 2,3, 4, &c. in their natural order, (to a greater or less extent as occasion demands,) and considering them all as powers of the base, to determine their logarithms accordingly, and then arrange » the logarithms together with the numbers in a table. ‘The sys- tem which has been chosen as most convenient, is that whose base is 10. It is for reasons pertaining to the common mode of reckoning by tens, (and to be stated more explicitly in Art. 17,) that this system is preferred. Logarithms in the system whose base is 10, are called common logarithms or Briggs” log- arithms. The common logarithm of a number then 1s the exponent which shows what power that nwmber is of 10. When the kind of logarithms spoken of is not specified, com- mon logarithms are always to be understood. 3. The logarithms of the numbers which are exact powers of 10 are at once obvious: thus the logarithms of the numbers 1000, 100, 10, 1, 54, +25, and 10-", its logarithm must either be —(2+1) or be between -(n+1) and —n, that is, must be either —(m+1) or —(n+1)+ a decimal; the characteristic therefore is —(n-+1); so that the characteristic of the logarithm of a decimal is nega- tive, and is one greater than the number of ciphers at the begin- ning of the decimal; as is stated in the second part of the fore- going rule. 8. When the characteristic of a logarithm is negative, it is often, for convenience, made positive by the addition of 10; which can lead to no error, if it be kept in mind that such a change has taken place, and due care be taken to make allowance for it afterwards, at a proper time. Thus instead of the logarithms 1.8272047, 4.0260108, we may write 9.8272047, 6.0260108. 9. Since we have a rule by which we can readily find the characteristic of the common logarithm of any proposed number, tables are needed only to furnish the mantissas of logarithms. ‘These mantissas have been calculated and arranged in tables to such an extent as has been found convenient for practical pur- poses. It is unnecessary here to describe the manner of com- puting them; it will be sufficient to show how they are arranged for use in the following tables. In describing these tables how- ever, it is necessary to refer to certain properties of logarithms which will now be stated. 10. If L, M, N, &§c. be several numbers, and J, m, n, §c. their logarithms in a system of which the base is b, the logarithm of LMN &c. is equal to l+-m+n+e. _ For from the nature of logarithms, (Art. 1) L=0b', MW=6”", eb") Sc. hence LMN &ec. =b'b"b" Ge Hornets" 3 but. if LMN §. is the (l+m+n-+ &§c.)th power of b, /+m+n+ §e. is the logarithm of LM WN &c. as was asserted. _ Therefore the logarithm of the product of several numbers equals the sum of the logarithms of the numbers. | 11. Again, if W and N be two numbers whose logarithms are m and n, the logarithm of M—N equals m—n. For as M=b" and N=6", M—N=6b"-0"=6"—". Therefore the logarithm of the quotient of one number divided by another is equal to the logarithm of the dividend diminished by that of the divisor. (14) INTRODUCTION. 12. Again, if M is a number whose logarithm is m, the loga- rithm of M" is mn. For as M=b", M"=b""; but if M” is the mnth power of the base b, mn is the logarithm of MW". Therefore the logarithm of any power of a number ts obtained by multiplying the logarithm of that number into the number denoting the power. 13. Finally, if MZ is a number whose logarithm is m, the log- “ 1 arithm of M " is - For as M=b", M"*=b"- Therefore the logarithm of any root of a number is obtained by dividing the logarithm of that number by the number denoting the root. 14. The following definition will prepare the way for one or two inferences to be drawn from these principles. The significant figures of a number are those which remain — after rejecting all ciphers that occur either at the end or at the © beginning of the number. : Thus the significant figures of 8021700 are 80217; those of the decimal .00010408 are 10408. 15. If two different numbers have the same significant figures, occurring in the same order, their logarithms will have different — characteristics, but the same mantissa. For two such numbers may be made alike, by merely re- moving the decimal point in one of them to the right or — left; and as changing the position of the decimal point, is_ elitiontont to multiplying or dividing by 10° 100, 1000, &c.— the greater number must be equal to the smaller one onli ; plied by some exact power of 10, which we will denote by 10°, — nm being a whole number; then (Art. 10) the logarithm of the greater number must be equal to the logarithm of the smaller number increased by the logarithm of 10" which is n. Now. by adding the integer to the smaller logarithm to obtain the greater, we alter the characteristic, but leave the mantissa un- changed. The logarithms of the two numbers therefore have — hike mantissas with unlike characteristics. ‘Thus the logarithm — of 108.06 is 2+ a decimal, and that of 1080600 is 6-+- the same decimal, because 1080600 = 108.06 x 10; also the logarithm oe . S| 4 if | At LOGARITHMS. (15) .00203 is —3+ a decimal, while that of 20.3 is 1+ the same decimal. : 16. Again, if the logarithms of two numbers have different characteristics, but the same mantissa, the significant figures of the numbers must be the same, and must occur in the same or- der; and the numbers will differ only as to the position of the decimal point. For then the difference of the logarithms is a whole num- ber, which we may denote by 7; but this difference is the loga- rithm of the quotient of one of the numbers divided by the other (Art. 11); the quotient itself therefore is 10", and accord- ingly one of the numbers is equal to the other multiplied by 10"; but a number after bemg multiplied by any exact power of 10 as 10", will have the same significant figures as before, and only the position of the decimal point will be changed. If for example, the logarithms of two numbers are 2+ a decimal and — 1+ the same decimal, and if it be known that the number to which the first logarithm belongs is 231.02, then we infer that the number to which the other logarithm belongs must be 23102. For the difference of the logarithms is the integer 3, and the quotient of the greater number divided by the less is therefore 10°; but the greater is 231.02, as has been supposed ; therefore the less is 231.02~—10% =.23102. 17. What is stated in the two preceding articles will apply to he common logarithms of numbers only. Such logarithms are therefore much more convenient than others for general use; smce when the common logarithm of any number has been ‘ound, those of various other numbers having the same signifi- sant figures are obtained without difficulty, simply by changing ‘he characteristic, according to the principles stated above. (16) INTRODUCTION. Taste or Locarrrums or Numpers: pp. 1-153. i 18. This is a table of the numbers 1, 2, 3, &c. up to 100000, with the mantissas of their common logarithms, which are also the mantissas of the logarithms of other numbers whose signzfi- cant figures fall between 1 and 100000. ‘To these the proper characteristics, omitted for convenience, are to be prefixed ac- cording to the rule in Art. 6. The first three pages contain all the numbers from 1 to 1000, (except those ending with 0,) arranged in columns headed N. By the side of each number, in the next column headed Log. is to be found the mantissa of its logarithm, carried to seven places: of decimals, the decimal point being omitted, and the first three figures being separated a little from the other four, for ease of reading. Thus the true mantissa of the logarithms of 8, 37 and 809, are .9030900, .5682017 and .9079485, respectively. In the subsequent pages, in columns on the left and headed Num. are all numbers from 1000 to 10000; the first two figures being stated only at convenient intervals, as they are the same for several numbers in succession. In the columns headed 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, are the mantissas of the logarithms of numbers carried to seven places of decimals, or rather the four last figures only of these mantissas, except in the column headed 0, where to some of the mantissas, the first three figures also are given. Bach mantissa belongs to a number whose first four figures are op-, posite it in the left-hand column headed Num. and whose fifth figure stands at the head of the column containing the mantissa. And the whole logarithm of this number will be the mantissa with the characteristic 4 prefixed. These mantissas will accord- ingly be spoken of as the logarithms of the numbers composed. of five figures in the way just mentioned, the characteristic 4 being understood as prefixed to each mantissa, in conformity with the rule in Art. 6. Wherever the character » occurs, a cipher must be understood. The use of the space between the columns headed 4 and 5 is, by dividing the page, to facilitate the finding of any column sought. Also, at the beginning of each page the figures are made heavier, that as we consult the table they may more readily catch the eye. TABLE OF LOGARITHMS. (17) In the columns headed Diff. §& Mult. are several numbers placed opposite the nine digits, the number opposite 1 being in each case the difference of two consecutive logarithms in the table, and those opposite the other digits being corresponding mul- |tiples of the differences over them. 19. All this will be readily understood from the following in- dication of the meaning of the first part of page 6. Numbers. Logarithms. Numbers. Logarithms. 11200 4.0492180 11212 4.0496831 11201 4.0492568 RPO ek eh os _ 11202 4.0492956 11218 4,0499154 f §6©11203 4.0493343 11219 A.0499541 + 11204 4.0493731 11220 4.0499929 / 11205 4.0494119 11221 4.0500316 | 11206 4.0494506 11222 4.0500703 | 11207 A,0494894 Ry eT ae ee mr _ 11208 4.0495281 11229 4,0503411 | 11209 4.0495669 11230 4.0503798 : .11210 4.0496056 11231 4.0504184 ( 11211 4,0496444. &ec. &e. a | Here it is seen that the leading figures 049 are those, not only | of the mantissa of the logarithm of 11200, but also of all the ‘following ones that come before the mark ¢. : ‘This mark + which stands for 0, is used to give notice that for ‘the mantissa in which it occurs, and for all succeeding mantissas ‘to the end of the line, the three leading figures are to be found in 'the next lower line and under an asterisk standing opposite the ‘character +; whereas in other cases, the three leading figures of ‘any mantissa are in the same line with the other four, or are the ‘first to be found in a preceding line. 3 | The use of the asterisk in connexion with the sign +, 1s to ‘mark more distinctly the line in which a change takes place in the three leading figures of the mantissa. _ 20. The difference of the first two mantissas on the page be- fore us, which are .0492180 and .0492568, is if we neglect the decimal point, 388; the next difference viz. that of 0492568 and } 0492956, is also 388; the next is 387 ; and so on in the following ‘series, 388, 388, 387, 388, 387, 388, 387, 388, 387 ; these differen- ‘ces being found smaller and smaller as we proceed to the bottom of | the page, where the difference between two consecutive mantissas | Cc | | (18) INTRODUCTION. is 368. Now the differences 388, 387, 386, 385, &c. are placed in the column headed Dif. § Mult. each opposite the number 1; | and the multiples of each difference by the numbers 2, 3, 4, .. . 9, | are placed under that difference, and opposite these multipliers. _ The use of the multiples and differences will be stated below. From page 22 onward, there is a column marked Dzff. which | contains simply the differences between consecutive logarithms | in the table, and is of but little use. The manner of using the table of logarithms, may now be con- | veniently explained. To find the logarithm of a given number. 21. If after rejecting ciphers at the begining or end of the number when they occur, there are not more than three remain- | ing figures, these figures are to be found in one of the columns _ headed NV. on one of the first three pages of the table, and op~- | posite the number, in the next column headed Log. will be found | a number which with the decimal point prefixed is the mantissa _ of the required logarithm, carried to seven places of decimals. The characteristic of the logarithm must be supplied according to the rule in Art. 6. The first three pages of the table are to be used only in the case | just specified. ‘The remainder of the table must be employed in | every other case, and is available in that case also, though not so | convenient then as the first three pages. If then the first three pages of the table be disregarded, the — general method of finding the logarithm of a number is the . following. 22. First suppose the given number to consist of five integral | figures not followed by a decimal. The first four figures of the number will be found on the left | in the column headed Num. of one of the pages of the table: and if the fifth figure is 0, the required logarithm carried to | seven places of decimals, will be found opposite the first four fig- ures in the next column headed 0; or at least the four last of the decimal figures will be found there, and the place of the three — leading figures when vacant, must be supplied by those of the first previous logarithm in which all the seven decimal figures appear: but if the fifth figure of the given number is one of the nine digits, it will be found at the top of one of the nine columns which follow the column headed 0, and under this fifth figure — TABLE OF LOGARITHMS. (19) and opposite the first four will be found the last four decimal fig- ures of the logarithm sought: the three leading figures are to be looked for in the column headed 0, and opposite the other four ; and if not found there, they may be found a little above in the same column, unless the character + either stands in place of one of the four decimal figures first obtained, or is somewhere on the left in the same line with them, in which case the three leading figures are to be found directly wnder an asterisk, that stands op- posite the mark «+. The proper characteristic viz. 4, is to be pre- fixed to the seven decimal figures. Thus the logarithms of 57100, 10350, 57680, 57708, 42083, 44978, 23449, are 4.7566361, 4.0149403, 4.7610253, 4.7612360, 4.6241067, 4.6530001, 4.38701243, respectively. _ 23. Next if the number concerned consist of five integral fig- ures with a decimal fraction annexed, find the logarithm of the five integral figures by the preceding rule, and to this add a cor- rection for the additional decimal; which is found by multiply- ing the decimal into the difference between the logarithm taken from the table and the following one. Thus the logarithm of 10800.76 is found by taking the loga- rithm of 10800 from the table, and increasing this logarithm by the product of .76 into the difference between the logarithm of 10800 and the next one in the table, viz. that of 10801. Now the logarithm of 10800 is 4.0334238, and that of 10801 is '4.0334640 ; their difference viz. 402 multiplied into .76 gives (305.52, which we may call 306, taking the nearest whole num- ber. This added to 4.0334238 will give 4.0334544 for the log- varithm required. It will be observed that the difference 402 has been regarded as a whole number, whereas it is really a decimal, the last figure +2 belonging to the seventh decimal place. But this can lead to ‘no error, if after obtaining the correction 306 we make its last figure fall in ‘the seventh decimal place when we add it to the logarithm 4.0334238. The logarithms of 87012.9 and 27018.61 found in this way, are respectively 4.9395836 and 4.4316630. | _ 24. 'The rule given for correcting a logarithm as found for five integral figures of a number, on account of an additional decimal, is derived from the consideration, that whatever is the difference between the logarithms of one number and the next in the table, the difference between the logarithms of the second number and ) (20) INTRODUCTION. the succeeding one is the same, or is only one less; and so on: for, if for the difference of a unit in two numbers there is a cer- tain difference in their logarithms, and for a difference of two in the numbers, twice the former difference in the logarithms, and so on, then we may infer that for half a unit added to the least number, there should be added to the logarithm of that number half the difference between this logarithm and the next, and in short, for any decimal part of a unit added to the least number, there should be added to its logarithm a proportional part of the difference between this and the next logarithm. For example, the logarithm of 27018 is 4.4316532, that of 27019 is 4.4316693 which exceeds the former by 161, and that of 27020 is 4.4316853, being 160 greater than the preceding and 321 greater than the first logarithm: if then with an addition of one to the number 27018 there is an addition of 161 to its loga- rithm, and with an addition of two the addition to the logarithm is very nearly twice as great, an addition of .61 to the number should give an addition of .61 x 161 to its logarithm. » 25. The logarithmic correction for the decimal part of a num- ber may be considered as made up of corrections for the several figures of the decimal; and instead of multiplying the whole decimal at once into the difference of the logarithms concerned, we may multiply this difference by the first figure of the decimal, — and as this figure stands for tenths, divide the product by 10, which will give the correction due to the first decimal figure ; then multiply the difference by the second figure and divide by 100, to obtain the correction for that figure; next multiply by the third figure and divide by 1000, to obtain the correction for — the third figure, and so on; and lastly take the sum of all these — partial corrections, for the total correction required. But the labor of such multiplications may be saved by using the columns of differences and multiples given in the table; for among these diflerences we may find the difference between any — two consecutive logarithms of the table, and under it, its multi- ples by all the numbers 2, 3, 4, 5, 6, 7, 8, 9. 26. To obtain by this means the logarithmic correction due — to the decimal part of a number, find the difference between the logarithm to be corrected and the next, look for that difference — under the heading Diff. § Mult. and from it together with its — eight multiples as found there, select the numbers corresponding — TABLE OF LOGARITHMS. (21) o the different figures of the decimal ; then having divided the aumber which belongs to the first decimal figure by 10, that which belongs to the second by 100, and so on, add together the quotients ; their sum will be the required correction. When me of the figures in the decimal concerned is 0, there will of sourse be no partial correction due to it. To find for example, the logarithm of 98741.207. The logarithm of the whole number 98741 is 4.9944975; the lifference between this and the next tabular logarithm is 44; inder 44 in the table of differences and multiples and opposite 2 ss the number 88, which divided by 10 gives 8.8 for the first par- jal correction; the second figure in the decimal .207 being 0 nay be disregarded ; for the third figure the correction is .308, is 308 is the multiple opposite 7. The whole correction then is 3.8+.308=9.108 or 9 nearly; and the required logarithm is 1.9944984. It is more convenient and sufficiently accurate to take account xf one decimal figure only, in each partial correction. Thus n place of .3808 in the preceding example, may be substituted amply .3. 27. In ascertaining the difference between one logarithm in the table and the next, it will generally be sufficient to find the ast figure of this difference ; for this will show which of the dif- erences at hand under the heading Diff. §& Mult. is the one to »e employed, as two that end with the same figure are not to be ound near each other any where in the table, except on the 4th nage. ‘I'hus in the case of the example preceding, the difference yetween 9944975 and 9945019 is obtained by taking 5 from 9, which shows that the difference ends with 4, and then looking in he table of differences and multiples for the nearest difference mding thus, which is found to be 44. 28. If the number whose logarithm is sought has four or more lecimal figures, the logarithmic correction due to all after the hird will be extremely small, and the required correction may de obtained with sufficient accuracy from the first three figures ; he third figure ought however to be increased by one, when he first neglected figure is 5 or more. Thus instead of the num- vers 27109.345502, 10340.189601, we may employ 27109.346, 10340.19. 29. We have hitherto supposed the number whose logarithm s sought, to have five integral figures with or without a decimal (22) INTRODUCTION. annexed ; but if this is not the case, we may proceed to find its logarithm as if the first five of its significant figures were integral and the rest decimal, only taking care to substitute instead of the characteristic 4, the true characteristic of the logarithm of the given number as determined by the rule in Art. 6. For the loga- rithms of numbers having the same significant figures differ only with respect to the characteristic, as has been shown in Art. 15. If the number proposed has Jess than five significant figures, the deficiency may be made up by the addition of ciphers. 30. The use of the table will now be illustrated by a few ad- ditional examples. To find the logarithm of 870358.63. ) Logarithm of 87035 without the characteristic, .9396939 f Addition for first figure of .863 ; AO ‘ second re gar ; ; ; 3 7 third Fe : 4 : ; - Om Logarithm of 870358.63 with proper characteristic, 5.9396982 To find the logarithm of 0.14031897. ae Logarithm of 14031. ; . .1470886 © Correction for first figure of 897 ; : : 248 | es second ae ; 27.9 a third es ; 2.2 Logarithm of .14031897 . . LATL164 | To find the logarithm of 20.2147839. | Logarithm of 20214 ; : 3056523 Addition for first figure of 784 : . 149.8 Gg second 4 " ; F y 17.1 ‘ third a } , A | Logarithm of 20.2147839 : : ‘ . 1,3056691 To find the number answering to a given logarithm. 31. First suppose the characteristic of the logarithm to be 4; the number sought will then have five integral figures. The} first three figures of the given mantissa are to be found in a col- umn headed 0, and the other four are to be looked for in the same column or in one of the nine following columns; and if they are there, the number sought will consist only of five in- tegral figures, the last of which will be found over the four final TABLE OF LOGARITHMS. (23) figures of the mantissa, at the head of the column, and the other four will be found opposite the same final figures, in the column on the left headed Num.; supposing the vacant places of that column to be filled with their appropriate figures. _ Thus the number answering to the logarithm 4.3321758 is obtained by turning to a part of the table where the leading decimal figures of the logarithm are 332, as in page 23; we find chere a mantissa exactly equal to the given one viz. 3321758, and supplying 4 the omitted characteristic of the table, we have whe given logarithm 4.3321758; the number answering to which 's 21487. In lke manner the numbers answering to the logarithms 15274108, 4.8430022, 4.5270883, 4.7869643, will be found to de 33683, 69663, 33658, 61230. But if the given logarithm is not to be found in the table, calling between two consecutive logarithms found there, then the ‘ive integral figures of the number answering to the least of these ‘ogarithms, taken from the table as in the preceding case, will orm the integral part of the required number; to which is to be mnexed a decimal correction, for the excess of the given loga- ithm above the tabular one that answers to the five integral fig- wes. The correction is found by dividing the difference of the siven logarithm and the tabular logarithm next below it, by the _ifference between the two tabular logarithms next above and ext below it. _ This correction depends upon a comparison of the given loga- ithm with the two in the tables between which it falls, and is rived from the following proportion, which though not strictly eeurate is nearly so. . The difference between the tabular logarithms, is to the differ- ace of the corresponding numbers which is 1, as the difference etween the least of these logarithms and the given one, to the ifference of their corresponding numbers. _ As the third term is less than the first, the fourth will be less ian the second, that is less than 1. ‘This term, which is found y dividing the third term by the first, when annexed as a deci- .al to the five integral figures corresponding to the least of the vo tabular logarithms, will give the logarithm sought. ‘Thus, _we seek the number whose logarithm is 4.7875397, this loga- thm not being in the table, we find there two consecutive man- issas .7875384, .7875455, that with the addition of the omitted | | (24) INTRODUCTION. characteristic 4 form two logarithms, of which one is greater and | the other less than the given one; the number answering to the. least of these is 61311, which is the integral part of the required number; to find the decimal part, we divide the difference be- | tween 397 and 384, by the difference between 455 and 384; the quotient viz. 42 or .183 nearly, added to 61311 gives 61311. 183 for the number sought. | 32. In converting 1% to a decimal fraction by the common method, we annex a cipher to 13, and for the first decimal figure | take the number which multiplied by 71 will equal 130 or fall just below it; then after subtracting the product from 130 and annexing a cipher to the remainder, we proceed in the same way to find a second decimal figure, and so on. Now this process may be shortened, by aid of the table of dif. ferences and multiples : for in that we find the difference 71 to- gether with its multiples by all the digits 2,3,...9; having then annexed a cipher to 13, we see by glancing at these multi-. ples, which one equals or falls next below 130; the digit oppo- site this is the first decimal figure sought; we then subtract this. multiple from 130, and after adding a cipher as before, look again} for the next lower multiple, opposite which is the second dec- imal figure sought; and so on. | Should any remainder, after having a cipher annexed, fall be- low the difference 71 itself, the decimal figure sought will be 0, and we may proceed immediately to find the next, by annexing an additional cipher to the remainder. . 33. If instead of annexing ciphers to the remainders and sub-. tracting the entire multiples, we leave the remainders unaltered, and divide the multiples by 10, 100, 1000, é&c. we shall obtain the} same or very nearly the same result. It will be best, however, not to do this till after the first decimal figure is obtained. Thus in the preceding example, after obtaining the first decimal figure} 1 and subtracting the corresponding number 71 from 130, we) may seek the multiple which divided by 10 or with the omis- sion of its last figure, shall equal or just fall below the remainder 59; this we shall find to be 568, opposite which is the digit 8 the second decimal figure sought; 568 divided by 10 is 56.8 or nearly 57; this taken from 59 leaves 2: we are now to look for the multiple which divided by 100 shall differ least from 2; this is 213, opposite which is say number 3, the third decimal figure sought ‘| TABLE OF LOGARITHMS. (25) In ike manner let the numbers answering to the logarithms 4.8111890 and 4.1610157 be found: they are 64742.433 and 14488.243. _ 34. We have thus far supposed the characteristic of the given logarithm to be 4. But if the logarithm have a different characteristic, we must seek the corresponding number as if the oinnidtavibite were 4, ‘and instead of so placing the decimal point that the number shall have five integral figures, give it the position required by the true ‘characteristic of the logarithm according to the rule in Art. 6: ‘for if two logarithms differ only in their characteristics, the num- bers answering to them will have the same siiiificatis figures, aud will differ only as to the positions of their decimal points. Thus to find the number whose logarithm is 3.9595809, look “or it as if the characteristic of the logarithm were 4; but instead of placing the decimal point after the fifth figure, inline it after the fourth, so that the number of integral figures may. be one zreater then the characteristic 3. The number so obtained will be 9111.3124. In like manner shall we find that the numbers answering to the logarithms 1.6360175, 2. 7583012, are .43253129, .057319343, cespectively. | 35. We have then this general rule for finding the number answering to a given logarithm. ' If the mantissa of the logarithm is to be found in the table, ook opposite it in the column headed Num. on the left, for a inst four figures of the number sought, and over it for the fifth igure. Then determine the place of the decimal point from the rastcristic of the logarithm, according to the rule in Art. 6; ‘nnexing or prefixing ciphers, if necessary. ' But if the mantissa of the logarithm proposed is not to be found 'n the table, take the one next below it; opposite this will be ‘ound the fest four figures of the Pith number, and over it ‘he fifth: then to find a few additional figures, fant more than hhree,) take the difference between the mantissa of the given log- rithm and the mantissa next below it in the table, and also the lifference between the latter and the next greater one in the ta- ale look under the heading Diff. § Mult. for the latter differ- ; hike, and from it with its eight multiples given there, select the amber which is either equal to the former difference multiplied | D — (26) INTRODUCTION. by 10 or just below it; opposite this number will be found the sixth figure sought; subtract the number from the difference thus multiplied, and look for the largest multiple which divided by 10 gives a quotient less than the remainder or equal to it; opposite this multiple will be the seventh figure of the required number; find the difference of the quotient and remainder, and look opposite the multiple which divided by 100 comes nearest this difference, for the eighth figure. 36. A few examples are subjoined in illustration of the rule. To find the number whose logarithm is 6.8110210. First five-figures of number sought, 4.7.3 .441- ey. 64717 whose logarithm ends with 184. Furst additional figure for diff. of 210 and 184....... 39 found opposite the multiplier 201. : Second additional figure for diff. of 260 and201...... 8% opposite which is 536. ; Third additional figure for diff. of 59 and 53.6 or 54...... 7s Eight figures of the number then are....... 64717387 35 and the number itself is 6471738.7, having seven integral figures, — because 6 is the characteristic of the logarithm. | To find the number whose logarithm is 3.4172019. First five figures of number sought ......... 26133 First figure. oi correction) for diff. 126 ©... VL rf opposite which is 1162. ' Correction for, ditty of 1'162,and 1260 i2. ee eee Fee 5@ opposite which is 830. Gorrectaonsior aol 98iand B89," > Sa ee en 95 Then as the given characteristic is 3, the required number is .0026133759. The numbers answering to the logarithms 2.7865943,_ 0.0294236, 2.4220180, 8.7230263, are in like manner found to” be 611.7786, 1.070098, .026425183, 528477220. 4 TABLE OF LOGARITHMIC SINES, &C. (27) Taste or Locarirumic Sines, Tancents, &c. pp. 155-277. 37. This is a table of the logarithms of sines, tangents, se- -eants, cosines, cotangents and cosecants, carried to seven places of decimals. ‘These logarithms are called logarithmic or artificial \sines, tangents, &c. to distinguish them from the sines, tangents, &c. themselves, which are called natural sines, tangents, &c. The natural sines, tangents, é&c. are some of them greater and others less than unity. Their logarithms must accordingly have characteristics of which some are positive and some negative. In order to render these all positive, it has been found convenient to increase each one by 10: no error can result from this if we always bear in mind that they have been thus altered. The first two pages viz. 156 and 157, being of a different character from the rest, and indeed not a necessary part of the table, may be here left out of view, to be subsequently described. For the first 90 pages, that is from page 158 to page 247, the sines, tangents, &c. are given at intervals of 10 seconds; for the remainder of the table, at intervals of one minute. At the top and bottom of each page are numbers in heavy type, denoting degrees ; next, in an abbreviated form, are the titles of the columns of num- bers of which the body of the page is composed; in the right and left hand columns are numbers denoting minutes and tens of seconds for the first 90 pages, and minutes only for the remain- ing pages: in the former case, the minutes are printed in heavier type and with the mark ’, to distinguish them from the numbers 10, 20, 30, 40, 50 denoting tens of seconds. To find the sine, tangent, Sc. of a given are. _ 38. The following is the rule for finding the sine, tangent, &c. of a given number of degrees and minutes, from 0° to 180°. _ Look for the degrees at the top or bottom of the page, and in the column at the side of the page under or over the degrees hus found look for the minutes: then if the degrees are at the ‘op, look for the name of the required number at the top, other- wise at the bottom of the page; in the column under or over hhis name, and opposite the minutes already found, will be the 1umber sought. Thus to find from the table the sine of 18° 20’, we first look for [8° which we find at the éop of the 251st page, and in the col- (28) INTRODUCTION. umn under this at the side of the page we look for 20’: we then | look for the name of the required number viz. sine, at the top of | the page, because 18° is there; and in the column under the. name sine and opposite the 20 minutes, we find the required number which is 9.4976824; the omitted characteristic 9. being | supplied. The characteristic when omitted is always to be supplied as here. In like manner it will be found that the cotangent of 126° 447 is 9.8729032, the secant of 89° 2’ is 11.7728665, and the cosine of 175° 47’ is 9.9988228. If there are tens of seconds in addition to the given number of degrees and minutes, and the degrees are found on one of the first 90 pages, then by a similar method to the one just stated, | we may find the sine, tangent, &c. of this number of degrees, minutes and seconds. We are to look for the degrees and min- utes as before, and then finding the seconds between the given number of minutes and the next greater number of minutes, look » opposite them for the number sought. Thus the cosine of | 14° 5’ 40” is 9.9867250, the omitted figures 9.986, being sup-— plied ; and the tangent of 100° 37’ 20” is 10.7268913. | 39. In all other cases the given number of degrees, minutes | and seconds will not be found exactly in the table; but the given number of degrees and minutes, and frequently the even tens of | seconds also, will be found there, with the corresponding sine, tangent, &c. and next to this sine, tangent, &c. will be found | the sine, tangent, é&c. for one minute or as the case may be for | 10 seconds more; and the required sine, tangent, &c. will fall ' between the latter and the former: to obtain it, take from the table the former sine, tangent, &c. viz. that which belongs to the given number of degrees and minutes, or degrees, minutes, | and even tens of seconds; and for the additional seconds prepare a correction, by multiplying them into the number that is found — in the nearest column headed diff. 1’, opposite the place where the number sought would fall if inserted in the table: then if | the tabular number to be corrected is the least of the two consecu- - tive ones between which the required number falls, the correction - thus obtained is to be added to it; but if it be the greatest, the correction is to be subtracted from it. Thus to find the tangent of 19° 27’ 45”.4, take from the tabla 7 the tangent of 19° 27’ which is 9.5479430, and for the seconds TABLE OF LOGARITHMIC SINES, &c. (29) 15.4 obtain a correction by multiplying 45.4 into 67.03 the qumber found in the nearest column headed dif. 1” opposite the lace where the required tangent would fall if inserted in the able; for it would fall between the tangents of 19° 27’ and 19° 28’, The correction thus obtained is 3043.162 or 3043 if the raction .162 be neglected. Then as the tangent of 19° 27’ is ess than that of 19° 28’, the tangent sought is 9.5479430 +3043 x 9.5482473, the correction being applied to the decimal part of he tabular number, as it should always be. 40. In explanation of the preceding rule, it may be observed hat as the sines, tangents, &c. in the table, for the first 90 pages, we given at intervals of 10 seconds, the difference between any |Wo consecutive ones is a difference for 10 seconds; and the part f this difference due to each of the 10 seconds would be a tenth fit, if the differences were the same for all intervals of the same vumber of seconds: though this is not strictly true to any extent, vet if we regard it as true for an extent only of 60 seconds or less, he resulting error in most cases will be extremely small. Ac- cordingly, in the first 90 pages of the table, one tenth of each dif- erence between two consecutive numbers is given, with the im- ied assumption that it would be the difference of consecutive ines, tangents, &c. for intervals of 1” each, near the place where > occurs. _ And in the latter part of the table, where the intervals are a winute each, the differences given for 1” are the numbers which esult from dividing the differences of the consecutive sines, angents, &c. by 60. _ Having thus the variations of sines, tangents, &c. given for atervals of 1’, we can readily find by multiplication the varia- ‘ons for any small number of seconds, and thus from a tabular ine, tangent, &c. near the required one, obtain the required one “self; by applying to the former a correction for the number of econds’ interval between the two. _ The number of seconds for which a correction is required will lways be less than 60. 7 Al. It will be seen that each column of differences is made to nswer for the two columns of tabular numbers on each side of .; one for sines and cosecants, another for tangents and cotan- ents, and a third for secants and cosines. The reason of this vill be obvious if we consider that the natural sine of an angle nultiplied by the cosecant of the same angle, equals the square | | | ) (30) INTRODUCTION. of the radius or unity; that the logarithm of the sine added ti the logarithm of the cosecant accordingly equals 0 which is thy logarithm of unity; and if 10 be added to the logarithmic sin and cosecant severally, their sum will become 20. ‘The sum o the numbers given in the table for the sine and cosecant of thi same angle, should then be 20 in every case; and if in passin; through an interval of 1” or any number of seconds, the sine in creases by a certain amount, the cosecant must, for the same in terval of variation, decrease by the same amount. ‘The corres, ponding sines and cosecants therefore vary by equal differences but in opposite ways. The same may be said of tangents and cotangents, and also 0 secants and cosines. 42. In finding a correction to be applied to a tabular numbet we may perform the required multiplication in an abbreviated way Let the figures of the multiplier be taken in an inverted order and let the wnt figure be put under the place of tenths in thi multiplicand ; then if each figure of the multiplier be multiplie into the figure above it and into all the preceding figures of thi multiplicand, the following ones being neglected, we shall haw! several partial products, in each of which the last figure belong) to the place of tenths, and the sum of which, if we neglect th final figure, will be the whole correction sought. For example, if the difference for 1’ taken from the table 1) 67.91, and the number of seconds for which the correction is t be made, 17’.32, the method of procedure is as follows. | 67.91 23 71 679.1 A75.3 k 20.1 1.2 | 1175.7 The correction therefore if we take the nearest whole num ber is 1176. Instead of wholly neglecting portions of the multiplicand ir the manner specified above, it will be better to regard them far as is necessary to see what number must be carried from eacl to make the right hand figure of every partial product as correc | as may be. TABLE OF LOGARITHMIC SINES, &c. (31) ' ‘This method of multiplication may be applied to the preceding »xample thus, 67.91 23 71 —_—_—_—_—_—_—— 679.1 AT5.A 20.4 | 14 t = Se 1176.3 The integral result viz. 1176, does not differ from that before sbtained: but in some cases one or two units would be gained a accuracy by the change in question. | _ 43. 'Two or three examples may now be given, in further -il- astration of what may be deemed the best method of using the able of sines, tangents, &c. Lo find the cosine of 123° 11/ 26”.7. cos. 123° 11’=9.7382412, diff. 1” =32.18, to be multiplied as below by 26.7. | 32.18 7 62 — 643.6 193.1 | 22.5 | 859.2 “he resulting correction 859, added to the above tabular number, ives 9.7383271 for the required cosine. | To find the cosecant of 79° 14! 17.3. _ cosec. 79° 14’ 10”=10,0077094, | diff. 1”=4.0, which multiplied by 7.3 ives the correction 29. This taken from the tabular number to scorrected, leaves 10.0077065 for the cosecant sought. To find the tangent of 168° 36’ 47.8. tang. 168° 36’ 40” = 9.3041318, ie == 18,7, 108.7 87 760.9 87.0 — | 847.9 | | l } (32) INTRODUCTION. Subtracting the correction 848, we obtain 9.3040470 for the tan-_ gent sought. To find the arc answering to a given sine, tangent, Sc. A4. As the sines, tangents, &c. given in the table are those of . an exact number of degrees and minutes, or degrees, minutes — and tens of seconds, if the proposed number happens to be the | same with one of those in the table, it will of course be the sine, tangent, &c. of an exact number of degrees and minutes, or of © degrees, minutes and tens of seconds. | Then look for the given sine, tangent, &c. in a column of the | table over or under the appropriate name ; and if it is found there, ! the number of degrees required will be found at the top or bottom | of the page, according as the name of the given number is at | the top or bottom of the column in which it is found; and. under or over the number of degrees, in the column at the | side, the required number of minutes or as the case may be of | minutes and tens of seconds, will be found opposite the given number. Thus the sine 9.9651953 will be found to be the sine © of 67° 22’. For, looking in the columns marked sin. at the top or bottom, we find the proposed number on page 255, in a column having the title szn. at the bottom; we cheregare take the number of degrees given at the bottom of the page viz. 679, | and over this number of degrees, in the right-hand column, we find 22 standing opposite the given sine, for the required number of minutes. In like manner shall we find that the tangent 9.3178527 is. the tangent of 11° 44’ 40”, the secant 10.8585473 is the secant of 82° 2’ 20”. . 45. There are two numbers of degrees at the top and also at. the bottom of each page, one less and the other not less than 90°. Their sum is invariably 179°; and under or over each is a cole umn of minutes or of nutes and tens of seconds, at the side. of the page, so arranged that the sum of every two opposite num- bers in the two columns is 60’ or 1°. This added to the for mer sum makes 180°; so that the number of degrees and min- utes, as found on the right, is in every case the supplement of the corresponding number of degrees and minutes found on the left hand. TABLE OF LOGARITHMIC: SINES, &C. (33) Hither of these numbers belongs as properly to the sine, tan- gent, &c. corresponding to it in the table, as the other; for the sine of an angle and that of its supplement are the same: so is it with the cosecant. Also the cosine of an angle and that of its supplement agree in numerical value, though they have opposite signs. ‘The same is true of the secant, tangent and cotangent. But in practice, the nature of edch case will generally deter- mine whether the required number of degrees is or is not less than 90°. _ 46. If the proposed sine, tangent, &c. is not to be found ex- actly in the table, there are however two successive ones between which it falls; then look for these, and taking that which is op- posite the least number of minutes or tens of seconds, find the corresponding number of degrees and minutes, or degrees, min- utes and tens of seconds, as in the preceding case; and to correct ‘this for the difference between the tabular sine, tangent, é&c. just spoken of and the given one, add such a number of seconds as ‘shall result from dividing that difference by the difference for 1” ,as found at the proper place in the table. The sum will be the required number of degrees, minutes and seconds. _ Thus, to find the number of degrees, minutes and seconds answering to the sine 9.9766321. On the 251st page, in the column marked sin. at the bottom, ywill be found two consecutive numbers between which the pro- posed sine falls, one opposite 22 the other opposite 23 minutes ; taking the former, we find 71° 22/ for the corresponding number of degrees and minutes: the difference between the given sine and 9.9766171 is 150; this divided by 7.10 the difference for 1” ‘as found in the table, gives 21’.13 for the number of seconds which must be added to 71° 22’ to make up the required num- ber of degrees, minutes and seconds. _ In like manner the cosine 9.8055233 will be found to be the cosine of 50° 16’ 48.88; the tangent 9.3768555, the tangent of 13° 23’ 44.21; the cosecant 10.0059330, the cosecant of 80° 33/ 03.14. | In each of these cases there is also a number of degrees, min- ates and seconds greater than 90°, answering to the proposed sine, tangent, &c. = E | (34) INTRODUCTION. A7. The number of seconds to be obtained by division accord- ing to the preceding rule, may be found most conveniently by - cutting off figures from the divisor, instead of annexing ciphers to the dividend when there would be occasion for this in the | common mode of dividing. It will be best however to add one + cipher to the dividend at the outset.. And when the dividend | is thus multiplied by 10, if we multiply the divisor also by 10, the value of the quotient will not be aflected. Now for the first 90 pages of the table, the divisors (which are the tabular differences for 1/’,) have one decimal figure, and mul- | tiplying them by 10 makes them all integral. So far as these 90 pages are concerned, the following example will serve to show how the division is to be performed. Let 2442 be the number to be divided, and 335.3 the tabular | difference for 1’ by which it is to be Biddle Then annexing a cipher to 2442 and dividing by the whole number 3353, we ob tain 7 for the first figure of the quotient and 949 fora reéninihtel if the division is continued, the rest of the quotient will be a decimal: to obtain the next figure, instead of annexing a cipher to 949, we cut off the right hand figure of the divisor and divide | i 949 by 335; the quotient is 2: this multiplied by 335 gives 670, | and if we have regard to the figure cut off, so far as to see what | ought to be carried from it to the product obtained from the other figures, we find that this product must be increased by 1, as six tenths is nearer one than nothing ; then subtracting 671 from 949 we find the remainder 278 which divided by 33 gives 8 for the third quotient figure ; multiplying by this and carrying 4 as. we should do, we shat 268; this taken from 278 leaves 10, which nivided by 3 gives 3 a a fourth quotient figure. This process may be exhibited as follows. 4 3353 )24420(7.283 i 23471 | —— 949 671 278 268 —_——__. 10 10 It will hardly ever be worth while to seek for more than neo decimal figures. ae TABLE OF LOGARITHMIC SINES, &C. (35) 48. From page 248 onwards, the tabular differences for 1” are carried to two places of decimals. If these when used for divi- ‘sors be regarded as integral after the dividend is multiphed by ‘10, the quotient will be ¢en times too small ; but it may readily ‘be made correct by changing the place of the decimal point. _ For example, to find the quotient of 1182 2148 )11820(5503 ‘divided by 21.48, we may divide 11820 by 10740 2148, as in the scheme annexed, which we will give us the figures of the required quo- 1080 tient ; but in order that they may have their 1074 local values, the decimal point must be put —— after the second figure instead of the first. 6 The quotient as thus determined is 55.03. 6 , 49. The following examples may be of use in illustrating what precedes. _ fequired the number of degrees, minutes and seconds, whose sine is 9.703539 1. _ The number 9.7035329 is the sine of 30° 21/ ; the difference petween 29 and 91 is 62; the tabular difference for 1” is 35.95. Then, 3595 )620( 1.72 360 | 260 252 | —— 8 7 The answer therefore is 30° 21/ 1.72. | Required the number of degrees, minutes and seconds, whose potangent is 10.8683783. _ 10.8685308 is the cotangent of 7° 42/ 30”; the difference of 5308 and 3783 is 1525; the tabular difference for 1”, 158.4. Then, 1584)15250(9.63 14256 | , 994 950 | Ad | 48 ' The answer therefore is 7° 42/ 39/.63. {36) INTRODUCTION. We may now explain the use of pages 156 and 157. 50. By turning to page 158 and several of the following pages, it will be seen that the numbers in the columns marked diff. 1” vary rapidly, the difference for the first interval of 10” being infinite, for the next 301030, for the next 176091, &c. whereas these differences further on in the table vary slowly, being nearly the same for several successive intervals of 10’. Now in cases where the sine, tangent, é&c. are not found in the table, we cannot deter- mine them accurately by the rules we have given for the purpose, unless the differences in question vary slowly; as those rules are founded on the supposition that the differences are, for short dis- tances in the table, nearly uniform. Accordingly, the 156th and — 157th pages are prepared as a substitute for the ¢welve subsequent pages, to be used when strict accuracy is required. In the columns headed sin. tan. cot. cosec. are given the loga- rithmic sines, tangents, cotangents and cosecants, to every minute of two degrees: the columns headed sec. and cos. contain the corresponding secants and cosines; of these however, all the | figures except the last four are in each case to be found at the head or at the foot of the column. ‘The left hand column of | page 156 presents the number of seconds in each number of min- ~ utes opposite it in the next column. And in the left hand co- | lumn of page 157, is given the number of seconds for every num-__ ber of minutes from 1° or 60’ to 2° or 120% F Under the heading g—n are two columns of numbers, each consisting of four figures that are to be preceded by the figures 4.685 which stand above and below these columns. Each num- | ber in the first of these two columns is the excess of a logarithmie — sine opposite and adjacent to it, above the logarithm of the oppo- site number of seconds at the side of the page on the left; and) each number in the other column is the excess of the opposite and. | adjacent logarithmic tangent, above the logarithm of the opposite | number of seconds. "hus 4.6855747 is the excess of 7.1626960 over the logarithm of 300 which is 2.4771213; and 4.6855788 | is the excess of 7.7190026 over the logarithm of 1080 which is | 3.0334238. The numbers in the columns under the heading — g+n, are such as result from adding to each cotangent and cose= cant in the adjacent columns, the logarithm of the opposite num-= ber of seconds. Thus 15.3144197 is the sum of 12.2140492 and | TABLE OF LOGARITHMIC SINES, &c. (37) the logarithm of 1260 which is 3.1003705; and 15.3144398 is the sum of 11.8460925 and the logarithm of 2940 which is 3.4683473. 51. If the sines in the column headed sin. were not given, they might be found from the numbers in the next column. Ret if q be put for the sine of any number of minutes less than 120/ or 2° and n for the logarithm of the corresponding number of seconds, the value of g-n will be given by the table; which value in- creased by 2 will be the value of q the ae sine. If for example the sine of 1° 23/ be required, we shall find by looking in the first of the columns headed g—n on page 157, that q—n=4.6855327: therefore ¢=4.6855327-++-n; but the loga- rithm of 4980 the number of seconds in 1° 23/ is 3.6972293: hence ¢=8.3827620, the sine required. In a corresponding manner may tangents, cotangents and cose- eants be found. ‘To find for example the cosecant of 0° 37’, we obtain from the table the equation g +n =15.3144335, whence g=15.3144335 —n; and as the number of seconds in 37’ is 2220 whose logarithm is 3.3463530, ¢g=11.9680805. 52. ‘The numbers in the columns headed g—n and g+n, are given only at intervals of 1’ or 60”; but they vary so slowly and regularly, that we may by a simple prs parton find the correspond- ing numbers for intervening points with facility and accuracy. To find for instance in the first of these columns the number belonging to 0° 40’ 37”, we observe that its last four figures must be less than 5651 but greater than 5646: the difference of these two numbers viz. 5 being a variation for an interval of 1’ or 60”, the part of this variation for 37” may be found by the proportion 60:37::5:c='25=3 nearly. The last four figures of the re- quired number are therefore 5648; and the number itself is 4.6855648. In like manner may we find the number that be- tongs, in either of the four columns headed q—n and g+n, to any number of degrees, minutes and seconds from 0° to 2°, _ 53, If the numbers thus found by interpolation be increased or as may be necessary diminished in each case by the logarithm of the corresponding number of seconds, the corresponding sines, tan- zents, cotangents and cosecants will be obtained. Let it be required for example to find the sine of 1° 3’ 41.79. By inspecting the solumn headed sin. on page 157, we shall find that the required sine is between 8.2630424 and 8.2698810. But to obtain it ac- (38) INTRODUCTION. curately by interpolation in this column would be inconvenient, as the differences of the numbers there are large and vary rapidly. If however, we put qg for the required sine and » for the loga- rithm of the corresponding number of seconds, we can easily obtain the value of g-n from the proper column headed q— 1: this value is 4.6855500 ; the correction for 41’.79 being nearly 6, which has to be taken from 5506. Now the number of seconds opposite 1° 3/ in the table is 3780, which increased by 41.79 becomes 3821.79 whose logarithm we shall find to be 3.5822669; this is the value of n, and since gq —n=4.6855500, g =8.2678169, which is the sine required. Again, to find the cotangent of 0° 57’ 34”. 46. gt+n=15.3143845 n= 3.5383802 ". gq +11.7760048, the cotangent sought. — 54. In like manner may these two pages be used, when the. number of degrees, instead of being 0° or 1°, is 88°, 89°, 909, | 9T°, 178° or 179°... But if the number of denver: is “art at the bottom of the page, the title of the quantity sought must be looked for there also ; and if the number of degrees is on the right | hand, the number ae minutes must be found in the right hand column; and in this case, the opposite number of seconds in the left hand column diminished by the given number of seconds, is that whose logarithm 7 is intended to represent. Let it be required to find the tangent of 88° 21’ 37”.5. As 88° is at the bottom of the page and on the right hand, we are to look for the title tan. at the bottom, and for 21 the number of minutes, in the right hand column ; opposite this number in the first column on the other side of the page will be found 5940, for the number of seconds to be diminished by 37.5 the given number of seconds; the logarithm of the remainder 5902.5 is 3.7710360, which is the value of n. Opposite 21’ and 22’, and over the title gt+n, in the column next to the column of tangents, are to be found the numbers 3051 and 3075; the proper intermediate num-_ ber for 21/375 is 3066. cheers q+n=15.3143066 ; and hence q=11.5432706, the tangent sought. | Again, to find the cosine of 91° 27’ 43”.7. gq —n=4.6855277 log. 5263.7. =, n=3.7212911 te ee - g =8.4068188, the required cosine. TABLE OF LOGARITHMIC sINES, &c. (39) To find the coseecant of 179° 19/ 52.25. gq +n=15,3144350 log. 2407.75 = n= 3.3816114 q =11.9328236, the cosecant sought. 55. The columns having the titles sec. cos. at the top, and -cosec. sin. at the bottom, may be used for finding sines, cosines, ‘secants and cosecants, in the ordinary way. T'o obtain for example the cosine of 1° 17/ 25”.5, In the column headed cos. and opposite the 17” which stands under 1°, will be found the number 8911 ; and opposite 18’, the number 8882; the proper intermediate number for 17/ 25.5 is 8899, in which we have the last four figures of the required co- ‘sine ; the preceding figures are 9.999, as found at the top or bot- tom of the column concerned. 'The complete cosine therefore is 9.9998899. Thus also the cosecant of 90° 55/ 47.5 may be found to be 10.0000572. ' Instead of the columns here referred to however, it is best to use the corresponding ones, in the twelve subsequent pages. 56. The 156th and 157th pages are likewise to be used, when with a given sine, tangent, &c. that falls within the limits of these pages, it is required to determine accurately the number of degrees, minutes and seconds to which it belongs. In em- ploying them for this purpose, we have first to find the two con- secutive sines, tangents, &c. between which the given one falls, and the corresponding values of q—norg+n. We may then determine by interpolation the value of g—m or qtn as the case may be, for the given sine, tangent, &c. itself ; which last juantity is represented by g. If q be diminished by q-n or caken from q+n, the remainder will be n the logarithm of a aumber of seconds, from which the number itself is to be found, and thence the required number of degrees, minutes and seconds. | 4 Let it be required to find the degrees, minutes.and seconds be- -onging to the tangent 8.2743291. This falls between the tan- cae of 1° 4’ and 1° 5/ opposite which in the preceding column inder the heading q—n are: the numbers 6250 and 6266; the ntermediate number corresponding to the given tangent, will be ound by ordinary interpolation to be 6260; the complete value of q—n is accordingly 4,.6856260. Taking this from q that is 2743291, we find for the value of 2, 3.5887031 which is the (40) INTRODUCTION. logarithm of the number 3878.851. The number next less than’ this in the column of seconds is 3840, to which corresponds. 1° 4’... The required number of degrees, minutes and seconds is’ therefore 1° 4’ 38”.851. : Or if we take the number of degrees found on the right hand, we must look for the number of minutes in the right hand col- umn, opposite the number of seconds next greater than 3878. 851, Viz. 3900, and take the difference of 3900 and 3878.851 for the} number of the required seconds. In this way we shall obtain: 178° 55’ 21.149 for the number sought ; which is evidently the) supplement of the one before obtained. If the title of the given quantity be at the bottom of the page, the required number of degrees is to be found there also. | 57. 'To obtain the value of g - n or g+m corresponding to the given sine, tangent, &c. we may find approximately by the gen-| eral table the required number of degrees, minutes and seconds, and take the value of g—m or g+mn as the case may be, corres- ponding to the number thus found. The required number of degrees, minutes and seconds in the preceding example, we shall rendile find on page 164 to be nearly 1° 4’ 40’. ‘Then as the numbers in the proper column headed g—mn on page 157 which correspond to 1° 4’ and 1° 5! are 6250 and 6266, the intermediate number corresponding to 1° 4’ 40” is easily seen to be 6261 nearly, which differs only a unit in the last place of figures from the result before obtained viz. 6260. And if we take 4.6856261 for the value of q—m, the value of m will be 3.5887030; which is the logarithm of 3878.85. The required number of degrees, minutes and seconds thus obtained is 1° 4’ 38.85, differing only a thousandth om a second from the previous result. 58. If the given quantity belongs to either of the columns headed sec. and cos. the required number of degrees, minutes and seconds is to be found in the ordinary way. In this case how- ever, it is better to make use of one of the twelve subsequent pages. TABLE OF NATURAL SINES AND COSINES. (A1) Taste or Naturan Sines anp Cosines: pp. 279-287. | 59, ‘This is a table of natural sines and cosines for every min- ute from 0° to 90°, carried to five places of decimals. The dec- imal point, omitted for convenience, is to be prefixed to each sine | and cosine as given in the table. | Lo find the sine or cosine of a given number of degrees and / minutes. | If the given number is dess than 45°, look for the degrees at the top of the page and for the minutes on the left: then oppo- site the minutes and under the degrees in the column headed sin. or cos. as the case may be, will be found the required sine or /cosine. | If the number of degrees and minutes falls between 45° and ,90°, the degrees must be looked for at the bottom of the page, -and the minutes on the right: then opposite the minutes and over the degrees in the column having the proper title at the foot, ;will be found the required sine or cosine. | The sine of 7° 33/ is .13139, and the cosine:of 67° 31’ is | 38241. | 60. At the top of each page and on the left hand are given the differences between consecutive numbers in the columns headed sm. ‘These differences are for intervals of 1’ or 60” each. In columns under them are given the proportional parts for every number of seconds less than 60; the part belonging to any num- ‘ber of seconds, standing opposite this number as found in the adjacent column of minutes. | There are like columns of differences and proportional parts on the right, over the title Diff. to be used in connexion with the columns headed cos. _ Lo find by aid of these columns the sine or cosine of a Liven number of degrees, minutes and snconps. _ Look for the two consecutive sines or cosines between which ‘the required one must fall ; find their difference and the propor- tional part of it belonging to the given number of seconds; this added to the sine of the given number of degrees and minutes or subtracted from the cosine as the case may be, will give the required sine or cosine. | h f i F (42) INTRODUCTION. To find the sine of 28° 43’ 51”. This must fall between the sines of 28° 43’ and 28° 44’, The sine of 28° 43’ as found in the table is 48048, and differs 25 from that of 28° 44’: 25 being a variation for 1’ or 60”, to find the part belonging to 51” look in the column of propor- tional parts under 25, and opposite 51 in the adjacent column of. minutes, where will be found the number 21; which added to the sine of 28° 43/ gives .48069 for the required sine. To find the cosine of 67° 21’ 37”. The cosine of 67° 21’ is .38510, and differs 27 from that of — 67° 22’: the proportional part of 27 for 37” is 17; which sub- tracted from .38510 gives .38493 for the cosine required. 61. If the number of degrees, minutes and seconds is between 90° and 180°, take the cosine or sine of its excess above 90°, according as the sine or cosine of the given number is required. Thus for the stne of 143° 20’ 17” take the cosine of 53° 20/ 17”, - and for the cosine of 117° 26’ 35” take the sine of 27° 26/ 35”. If regard is to be had to positive and negative signs, the cosine | of more than 90° must be taken negatively. ) 62. To find the number of degrees, minutes and seconds an- swering to a given sine or cosine. If the given number is the same with one of those in the table, the required number will consist of degrees and minutes only. Then if the column which contains the given number has the name of that number at the top, the required degrees will be | found there also, and the minutes will be found opposite the | number, in the column of minutes on the left: but if the name : of the given number appears at the foot of the column concemed, — the degrees will be found there, and the minutes on the right. | The sine .92870 is that of 68° 14’, and the cosine .87321 is that of 29° 10’. 5 When the given sine or cosine is not to be found in the table, — look for the two consecutive sines or cosines between which | it falls; one of these must answer to the number of degrees — and minutes required; find the difference between it and the — given sine or cosine, also the difference between it and the other tabular sine or cosine; then under or over the latter difference in | a column of proportional parts, find the former difference ; oppo- — site that, in the adjacent column of minutes, will be found the | required number of seconds. | TABLE OF LOGARITHMS. (43) T'o find the number of degrees, minutes and seconds answer- ing to the cosine .93208. This falls between the cosines of 21° 14’ and 21° 15/ given in the table. 21° 14’ is therefore the required number of degrees and minutes. The cosine of 21° 14’ differs 3 from the given one, and differs 10 from the cosine of 21° 15’. On page 282 in the column of proportional parts over the difference 10, will be found the number 3 opposite the numbers from 15 to 20 in the adjacent column of minutes: one of these numbers is to be taken for the required number of seconds; let this be 18, as being near the middle of them; then 21° 14’ 18” is the number of degrees, minutes and seconds required. 'T'o find the number of degrees, minutes and seconds whose sine is .82036. This falls between the sines of 55° 7’ and 55° 8’.. The sine of 55° 7’ differs 4 from the given one, and differs 16 from that of 55° 8’. The number 4 in the column of proportional parts over the difference 16, stands opposite 15 in the adjacent column of minutes: this is to be taken for the required number of se- conds. 55° 7’ 15” is then the number of degrees, minutes and seconds sought. Taste or Locarirrums or Numpers: pp, 289-293. 63. This is a table of logarithms of numbers carried to five places of decimals. The logarithms are given without any char- | acteristics; and to be fitted for use, must in each case be prece- ded by a decimal point and the proper characteristic as deter- mined by the rule in Art. 6. To find by this table the logarithm of a given number. 64. If the number consist of three significant figures, look for them in a column headed N: then in the next column headed Log. and opposite those figures will be found the mantissa of ' the logarithm sought. | The mantissa of the logarithm of 37.9 is .57864, and the whole ' logarithm 1.57864. . If the number has only two significant figures, annex a cipher, or if it has only one, annex two ciphers, and then proceed as before. | | | (44) INTRODUCTION. 65. If the number consists of more than three significant fig- ures, look for the logarithm answering to the first three signifi- cant figures, as in the preceding case: and then if these figures are found on one of the first three pages of the table, look oppo- site them in the column of proportional parts under the fourth figure, for a correction which is to be added to the logarithm of | the first three figures; and if there is a fifth figure, then in the | column under this and opposite the first three figures may be found a number which divided by 10 will give the proper addi- tional correction: the correction due to a siath figure may be found in a similar manner, the divisor 10 being however ex- | changed for 100. To find the logarithm of 30.1745. The decimal part of the logarithm of 301 is 47857; the cor- rection for 7 is 101, for 4, 5.7, for 5, .72: the whole correction | therefore is 107 nearly. Then 47964 preceded by the decimal point and the proper characteristic viz. 1 is the logarithm sought. But if the first three figures of the given number with the cor-_ responding logarithm are found in one of the last two pages of | the table, look on the right, in the nearest column headed D. for : the difference between this and the following logarithm; and look for the same difference on page 293 under the heading | D. in the table of differences and proportional parts: then opposite - this difference, and under the fourth figure of the number will be found the correction due to that figure, and under the fifth, 10 times the correction due to that, and under the sixth, 100 times: the correction due to that; whence may be easily obtained the | whole correction which added to the logarithm of the first three figures of the proposed number will give the logarithm sought. To find the logarithm of 7.41809. The logarithm of 741 as given in the table is 86982; the corresponding difference in the column headed D. is 58; opposite | this difference and under 8, in the table of differences and propor- tional parts on page 293, stands the number 46, which is the | first correction; and under 9 stands the number 52, one hun- dredth of which is the next correction: the whole correction © therefore is 46.52 or 47 if the nearest integer be taken, and thes required logarithm is .87029. In seeking the number which corresponds to a given logall rithm, the next table should be used. TABLE OF ANTILOGARITHMS. (45) | Taste or ANTILOGARITHMS: pp. 294-299. 66. ‘T‘his is a table of numbers answering to given logarithms. | n the columns headed Z. are the mantissas of logarithms carried ‘o three places of decimals. In each column headed Num. are he first five figures of the numbers belonging to the mantissas in he preceding column. Lo find by this table the number answering to a given loga- ‘uthm. _ 67. If the mantissa of the logarithm consist of only three decimal igures, look for these figures in the column headed Z. then in he next column headed Num. and opposite those figures, will ve found the first five figures of the required number. The haracteristic of the given logarithm will show where to place he decimal point in this number. _ 'To find the number answering to the logarithm 2.057. _ Opposite the decimal .057 as found in a column headed ZL. tands the number 11402 in the succeeding column headed Vum. and as the index of the given logarithm is 2, the number ought must have three integral figures: it is therefore 114.02. _ 68. If the mantissa of the given logarithm consists of more han three figures, look for the number answering to the first hree figures, as in the preceding case: and then if these figures re found on one of the last four pages of the table, look oppo- ite them on the right in the adjacent table of proportional parts nd in the column under the fourth figure, for a correction which 3 to be added to the number answering to the first three figures f the given mantissa; and if there is a fifth figure in the man- issa, then in the column under this, will be found a number vhich divided by 10 is the proper additional correction: if there 3 also a sixth figure, the correction due to'that may be found in he same way, except that the divisor 10 must be changed to 100. _ To find the number answering to the logarithm 5.830309. _ Opposite the decimal .830 in the table is the number 67608, and inder the heading 3 in the table of proportional parts is 47, the irst correction; under 9 is 141, one hundredth of which is another orrection : the sum of the two is 48 nearly, which added to 67608 “ives 67656; and as the index of the logarithm 1 is 5, the number ought must fae six integral figures: it is therefore 676560. (46) INTRODUCTION. But if the first three figures of the given mantissa with thy number corresponding, are found on one of the first two page of the table, look on the right in the adjacent column head ed D. where will be found the difference between that and thi following number, and look for the same difference on page 29; in the table of differences and proportional parts under the head ing D. then opposite this difference, and under the fourth fig of the mantissa, will be found the correction due to that figure under the fifth, 10 times the correction due to that, and unde, the szzth, 100 times the correction due to that. To find the number belonging to the logarithm 2.016439. The number answering to the decimal .016 in the table is 10375 the adjacent number in the column marked D. is 24; opposit the difference 24 in the table of proportional parts on page 295 stand 10 in the column headed 4, 7 in the column headed 3, anc 22 in the column headed 9: the correction to be added to 1037 is therefore 10+.7+.22, or 11 nearly ; and as the index of the given logarithm is — 2, the number sought must be .010386. Taste or Locarirumic Sines, 'T'ancents, &c. pp. 300-322. 69. This is a table of artificial sines, tangents, &c. to every minute from 0° to 180°, carried td five places of decimals; anc is designed for use in connexion with the two preceding tables. — To find by this table the sine, tangent, Sc. of a given num) ber of degrees and minutes. Look for the number of degrees at the top or bottom oi one of the pages; and according as this number is on the right or left, look on the right or left for the number of min} utes: then opposite the minutes, will be found the last four o five figures of the required sine, tangent, &c. in the colum i having the corresponding title at the head or foot, according as. the degrees are found at the top or bottom of the page: the preceding figures may be found either at the head or at the foot of the column in which the others occur. | Thus the tangent of 96° 36’ is found to be 10.93665. In this case the title tan. is looked for at the bottom of the page, because 96° the given number of degrees is found there, and the minutes aré looked for in the left hand column, as 96° is on the left of the ae: 4 companying number 88°. | TABLE OF LOGARITHMIC SINES, &c. (47) When the numbers at the head and foot of a column are not ne same, they are marked with an asterisk, and the upper or the »wer one is to be prefixed to the numbers in the intervening plumn, according as these numbers are above or below that in yhich occurs the character + standing for 0. This number itself aust be preceded by the larger of the two numbers marked with ue asterisk. | The cotangent of 172° 54’ is 10.90463, | _ 172° 50’ “ 10.90053, | i 172° 33’ “ 10.88351. To find the sine, tangent, Sc. of a given number of degrees, nutes and sECONDS. 70. If the number of degrees is 0°, 89°, 90° or 1799, it will be jund at the beginning of the table on page 300; and the requi- id sine, tangent, &c. is to be found as in the case where page 96 is employed. ‘The method of using that page is pointed out Arts. 51, 52, &c. One or two examples will be sufficient to ‘sow how we are to proceed in the case before us. To find the tangent of 90° 23/47”. ‘This must fall between the tangents of 90° 23/ and 90° 24’. (pposite these tangents in the adjacent column stands the num- 42, which is the last part of the quantity denoted by g+n, e first part viz. 15.314 being at the top and bottom of the lumns headed g-+-n. 15.31442 is then the whole value of g+n. The number of seconds in the left hand column opposite 23/ 11380; this added to 47 gives 1427, the logarithm of which as stained from page 289 is 3.15442: this is the value of n; mnce q the required tangent is 12.16000. :'To find the cotangent of 89° 31’ 26”. ‘This must fall between the cotangents of 89° 31’ and 89° 32’, \posite which in the adjacent column headed q—m are the imbers 59 and 58, the former of which preceded by the figures ‘385 over and under the column headed g—n, gives 4.68559 for evalueofq—n. In the column of seconds is the number 1740 posite 31/ in the right hand column of minutes; which column ‘used in this case because 89° is a right hand number of degrees. 40 diminished by 26 gives 1714, whose logarithm 7 is 3.23401. ie required quantity q is therefore 7.91960. In like manner the cosecant of 179° 46’ 18” will be found to 12.39956. (48) INTRODUCTION. But if for example the sine of 90° 46’ 42” be required, it is sufficient to look for it as the sine of 90° 47’, which is found at, once to be 9.99996. 71. All of the table except the part just noticed, 1s to be used according to the following directions. Find the sine, tangent, &c. of the given degrees and minutes, and according as this is less or is greater than the one required, correct it for the additional seconds, by adding or by subtracting, the number in the adjacent column headed d. that stands op posite the given number of seconds as found in the left hand, column of minutes. | If however the sine, tangent, &c. of the given degrees and minutes be found on one of the first eight pages of the table, correct it by adding or subtracting the product of the given num- ber of seconds into the number in the adjacent column headed d. 1”, that stands between the tabular sine, tangent, &c. next greater and that next less than the required one. 4 a } { To find the cotangent of 72° 36/ 42”. The cotangent of 72° 36’ is 9.49607: and in the proper column headed d. is the number 31 opposite 42 in the left hand column, of minutes. 31 subtracted from 9.49607 leaves 9.49576 for the cotangent sought. To find the cosine of 99° 27’ 44’.6. | The cosine of 99° 27’ is 9.21534; the product of 44.6 into 1.27 the difference for 1’ as found in the table is 57 neat which added to 9.21534 gives 9.21591 for the cosine required. — A To find the secant of 166° 41’ 38”. #. | This must fall between the secants of 166° 41’ and 166° 4g! which are 10.01184 and 10.01181, their difference pettig Oo: as this is a difference for an interval of one minute, ;%; or ;'; must be the difference for 1’; this multiplied by 38 is 33 or 2 nearly, which taken from 10. 01184, leaves 10.01182 for the secant sought. \ This example is designed to show how we are to proceed in all cases when the differences for 1’ are not to be found in the table. . § To find the number of degrees, minutes and seconds belonging to a given sine, tangent, sre. a 72. Look for the given sine, tangent, &c. in a column having the appropriate title at the top or bottom, and if it be found there, | } . TABLE OF LOGARITHMIC SINES, &c. (49) the required number will consist of degrees and minutes only : then look for the degrees at the top or bottom of the page, ac- cording as the name of the given quantity is at the top or bottom of the column in which it is found; and look for the minutes on the right or left, according as the right or left hand number of degrees is taken for the required one. Thus if the quantity given is the secant 10.50004, we find it on page 309, in a column having the title sec. at the bottom. The ern Kér of degrees found there is, on the left hand 108°, ind on the right 71°; and the fiviatiber of minutes is 26’ or 34’, According as it is ued on the left or on the right. The given humber is therefore the secant of 108° 26/ or 719 34’. | 73. But if the given sine, tangent, &c. is not to be found ex- ‘ctly in the table, look for the two consecutive ones between vhich it falls, and taking that which is opposite the least num- ver of minutes, find the corresponding number of degrees and jninutes, and for the additional number of seconds due to the ‘ifference between the given sine, tangent, &c. and the tabular ne just specified, look in the left hand column of minutes oppo- ite this difference as found in the appropriate column headed d. ' Thus if the number of degrees, minutes and seconds whose osine is 9.49741 be sought, we readily find for the required umber of degrees and minutes 71° 40’, whose cosine is 9.49768, Ixceeding the given cosine by 27: then in the left hand column f minutes, and opposite 27 in the appropriate column headed d. ve find 43 for the required number of seconds. The number ought is therefore 71° 40/ 43”. ‘ If 108° be taken for the degrees instead of 71°, the minutes vill be 19/ and the seconds 17” or 18”. ' When the required number of degrees and minutes is found ‘0 one of the first eight pages of the table, the additional seconds le not to be found in the manner above indicated ; but to obtain aem, we must divide the difference between the given sine, tan- ent, &c. and the sine, tangent, &c. of the required number of legrees and minutes, “ the difference for 1” as found in the ap- ropriate column headed d.1”. Thus if the degrees, minutes ad seconds corresponding to the cotangent 10.99208 be sought, -e find 5° 48’ for the required degrees and minutes, the cotan- lent of which is 10.99321, exceeding the given cotangent by | G — (50) INTRODUCTION. 113; this divided: by 2.10 the difference for 1” as found in the aval gives 54 nearly for the required number of seconds. To find the degrees, minutes and seconds whose: cosecant is 10.00626. This falls between 10.00628 and 10. 00625,, the cosecants of 80° 17’ and 80° 18’, the former of which exceeds the latter by. 3 and exceeds the given cosecant by 2: and:as 3 is the differ- ence for 1’ or 60”, the number of seconds to which the difference 2 is due, must be 2 of 60. . | The Stinahies required 4 is therefore 80° 17’ 40”. This example will serve to show how we are to proceed in ) cases when the differences for 1’’ are not given in the table. | 74, Lastly, if the required number of degrees is found to be either 0°, 89°, 90° or 179°, look opposite the. sine, tangent, &e., nearest the given one, for the corresponding value of q - or g +n in the adjacent column, and subtract the given quantity from) g+n or diminish it by g- as the case may be, to obtain n the logarithm of a number of seconds.. Then having found the required number of degrees and minutes, look opposite the min- utes and in the column on the left, for a number of seconds: the difference between this and the number whose logarithm is n, will be the number of seconds required. 1 Thus if the degrees; minutes and seconds answering to the cotangent 7.96304 be required ; we find the nearest cotangent to be 7.96889, and the corresponding value of gq — 7 to be 4. 68559; which taken from the given cotangent leaves 3.27745 for the value of n. The number answering to this logarithm is 1894.3, as may be readily found from the table of antilogarithms. ‘The required number of degrees and minutes is 89° 28’, and 192018 the number of seconds on. the left, opposite 28’.. The required number of seconds therefore is 25.7, which 1 is the difference be- tween 1920” and 1894.3. as If however the given number belong to ¢ one of the two columns headed sec. and cos. the required number is to be found directly by inspection. Thus if the cosecant 10.00004 be the number given, we shall find it in the table with 89° 11’, 89° 12’,—89° 16’, for corresponding numbers ;. either of which or rather the mean of them viz. 89° 13’ 30” may be taken for the number sought. TRAVERSE TABLE. (51) | ‘Traverse ‘laste, on Tasie or Departure anp DirreRENCcE oF LatirupE: pp. 323-329. ' 75. In this table are given the differences of latitude and the Hepartures, to four or five places of decimals, for distances from 1 to 9 inclusive, and for courses or bearings from 0° 'to 90° at intervals bf 15’, as alk for each of the 32 quarter points of the quadrant. These distances may be reckoned as tens, hundreds, thou- sands, &c. or tenths, hundredths, thousandths, &c. if the posi- ‘ion of the decimal point in each departure and difference of lati- ude in the table be changed accordingly. | To find the departure and difference of latitude ua a given dis- lance and bearing. ' If the given bearing is less than 45°, Idole for it on the left in ne of the pages of the table, and look a the distance at the top wr bottom of the page: then over or under the distance and oppo- ‘ite the bearing, will: be found the difference of latitude in the ‘folumn headed diff. lat. and. the departure in the next column: vut if the bearing is more than 45°, look for it on the right; and hen for the difference of latitude, look in the column over the itle diff. lat. and look for the Beartic in the preceding column. | Thus for the bearing 10° 45’ and the distance 7, the difference if latitude and the departure will be found to be 6.8772 and 1.3057, respectively. And for the bearing 63° 30’ with the distance 30=3 tens, the ‘ifference of latitude and the departure are 13.3859 and 26.8480. | When the given distance has more than one significant figure, ind the departure and difference of latitude for each numeral ‘cure of the distance: having regard to its local value, and take he sum of the several differences of latitude thus found, for the thole difference of latitude, and the sum of the several depart- pes for the whole neerturel Thus, if with the bearing 54° 15/ cher be given the distance 3.049, we shall find the differences of latitude for the parts 'f the distance represented by the several figures 6, 3, 4, 9 to be ‘5.055, 1.75275, .02337, .0052582: then, Heslectine a few of ne last decimal figures we may take the sum of 35.055, 1.7527, 234 and .0053, (which is 36.8364,) for the required difference f latitude. The departure found in like manner is 51.1685. (52) INTRODUCTION. If the given bearing falls between two consecutive bearings in. the table, the departure and difference of latitude may be found by fitemnolation: in the usual way. Thus if the distance be 4 and the bearing be 6° 20’, we shall. find the difference of Jatitude to be 3.97558 and the departuig 0.44125. 76. The traverse table will serve to show the comparative: values of the parts of any right angled triangle: for if the hypot-, enuse be regarded as a distance, and one of the acute angles as a bearing, the opposite side will be the corresponding departure, and | the remaining side the difference of latitude. Of the four quantities, distance, bearing, departure, and differ- ence of latitude, if any two be given, the others corresponding to these may be readily obtained. ‘They are to be looked for at the place in the table where the two given ones shall be found to correspond. Thus if there be given the departure 3.90518 and the differ- ence of latitude 0.86576, 4 will be found for the correspond distance, and 77° 30’ for the bearing. If the two given quantities cannot be found corresporiiaa exactly in the table, the required quantities must be obtained by interpolation. | TasLe or Meripionat Parts: pp. 3380-337. bY 77. This is a table giving, to every minute of latitude, the length of Mercator’s meridian expressed in geographical miles or minutes of an arc at the equator. The miles in the length of this meridian for any latitude, are called the meridional parts for that latitude. These parts carried to tenths, are placed in the table under the degrees and opposite the minutes of the corresponding Jatitudes. ‘Thus the meridional parts for the latitude 3° 40’ are 220.2, and for 30° 27’ they are 1919.6. | Worxman’s Taste ror correcting Mropte Lartirupe: p. 338. 78. If the departure made by a ship in sailing ona single cou from one parallel of latitude to another, be reckoned in degrees, minutes and seconds upon a parallel whose latitude is a mean between the latitude left and the one arrived at, it will correspond WORKMAN’S TABLE. (53) nearly with the difference of longitude made by the ship. But that the correspondence may be exact, the departure must be reckoned upon a parallel whose latitude 1s somewhat greater than tthe middle latitude just mentioned. 'The table in question is de- signed to furnish for the most important cases, the correction that nust be added to the middle latitude to give this greater latitude. The correction may be found in minwtes, by looking under he difference of the two given latitudes and opposite the middle latitude. | Thus if the two latitudes concerned are 37° and 53°, the middle latitude is 45°, the difference of latitude 16°, and the re- yuired correction 35’; which added to the middle latitude gives 15° 35’ for the middle latitude corrected. | Tasies: pp. 339, 340. | | 79. The use of the Table for computing CP OG Interest js too obvious to require any illustration. | 80. ‘The use of the Tables for interchanging Common and Ayperbolic Logarithms may be learned from the three follow- ng examples. _ (1.) The common logarithm of a number being 2.840651, to ind the hyperbolic logarithm of the same number, with nine or ‘en decimal figures. Se a ill te SU Si ay ta go G0B1 201860 8 att Mibeha% OLBABNESOF 44 er a eR hes &, 0, 0921084087 MO yy Wet ar'er 6“). -s (O0OLBSSLSSTE : Mowe ns it te NS? 2 COMOOTEH1293 ee rr et So OK0N00023026 | Mem esled escola. , 266408406471 _ If the given logarithm has a negative characteristic, we may sroceed as in the following case. | | | | | } (54) INTRODUCTION. (2.) To convert the common ropaxifhin 6.89042 into a hyper-| bolic logarithm carried to the tenth decimal place. 6.89042 = — 5.10958 5 .... 11.5129254650 Miwa 0.2302585093 009,0h 3 vi Sea ; . 0.0207232658 0005 eee” aay 0.0011512925 00008. . 0.0001842068 om OGnSs 1. : . —11:7652427394 — 12.2347572606 (3.) The hyperbolic logarithm of a number being 3.0290119, to find the corresponding common logarithm with ten decimal figures. Spe: hi at ah etl he yee we 1,3028834457 O22 ey Rs ORO A De DOS OSES OE .009 7 POU 229 50.0089086503 .00001 Road pees Se OOO AS 420 00001. =. =. Se. 0,00000043438 0000009. eS SSS 0,0000003909 : SO290L 19 x. te dee ly 3 ein aut BIAS ; 81. To show the use of the Table for finding the lengths y Circular Arcs the following example will be sufficient. ) To find the length of an arc of 2079-41’ 38”.09, with tele decimal figures. Oa aii, : . 3.490658503989 a, 4" 0.122173047640 AQ ict Oe Saar Se . 0.011635528347 Lis shui the tea, 5 MD OOO290RER 209 S000 Sate . 0.000145444104 8” 0.000038785094. | 0”, 09 . . 0.000000436332. 207° 41’ 38”.09 . ) 3.624942633715 82. With regard to the two tables on page 340, no oon ae tion 1s necessary. 4 2 ko odes | haralpeias al Log. 8 000 0000 301 0300 477 1213 602 0600 698 9700 778 1513 845 og80 g03 0900 994 2425 041 3927 079 1812 113 9434 146 1280 176 og13 204 1200 230 4489 4489 255 2725 278 7536 322 2193 342 4227 361 7278 380 2112 397 9400 414 9733 431 3638 447 1580 462 3980 491 3617 505 1500 518 5139 531 4789 544 0680 556 3025 568 2017 579 7836 591 0646 612 7839 7839 623 249 633 4685 643 4527 653 2125 662 7578 72 0979 681 2412 690 1961 707 5702 716 0033 724 2759 732 3938 3938 740 3627 748 1880 755 8749. 763 4280 770 8520 N. 00 | 67 68 69 wh - ——__ J 812 We 819 5439 Log. LOGARITHMS OF NUMBERS. Log. 826 0748 832 5089 838 } 84g1 851 2583. 857 3325 863 3229 869 2317 | 875 0613 880 8136 886 4907 4907 892 0946 897 6271 908 4850 913 8139 919 o781 924 2793 929 4189 534 134 4985_ 939 5193 944 4827 949 3900 959 0414 963 7878 968 4829 973 1279 977 7236 982 2712 986 7717 O91 2261 995 6352 004 3214 167. 008 6002 o12 8372 o17 0333 021 1893 025 3059 029 3838 033 4238 037 4265 045 3230 049 2180 053 0784 056 9049 060 6978 064 4580 068 1859 071 8820 075 5470 082 5854, 086 3598 089 9051 093 4217 096 9100 100 3705 —_——._ | -——_—_— 103 8037 107 2100 123 8516 Log. N. 134 135 136 137 138 139 141 142 143 144 145 146 147 148 149 151 Log. 127 1048 130 3338 133 5389 136 7206 139 8791 143 0148 149 2191 152 1883 155 3360 158 3625 161 3680 164 3529 167 3193 170 2617 173 1863 178 9769 181 8436 184 6914 1875207 190 3317 193 1246 195 8997 198 6571 201 201 3971 206 8259. 8259 209 5150 212 1876 214 8438 217 4839 220 1081 N. 201 202 203 204 205 206 207 208 209 211 212 213 214 215 216 217 218 219 221 222 293 224 295 226 227 228 229 231 232 233 303 1961 305 3514 a dah 309 6302 311 7539 313 8672 315 9703. 318 0633 320 1463 324 9895. 326 3359 328 3796 330 4138 332 4385 334 4538 N. 267 268 269 271 299 273 428 1348 429 7523 432 9693 434 5689 436 1626 © 437 7506 439 3327 440 9og1 442 47098 444 o448 445 6042 448 7063 450 2491 451 7864 336 4597 338 4565 340 4441 344 3923. 346 3530 348 3049 350 2480 352 1825 354 1084 356 0259, 357 9348 359 8355 363 6120 365 4880 367 3559 453 3183 454 8449 456 3660 457 8819 459 3925 460 8978 463 8930 465 3829 466 8676 468 3473 469 8220 471 2917 472 7564 474 2163 475 6712 222 7165 225 3093 227 8867 934. 235 236 369 2159 371 0679 372 9120 478 5665 480 0069 481 4426 Ody CT — 232 9961 235 5284 238 o461 240 5492 243 0380 245 5127 247 9733 250 4200 252 8530 257 6786 260 0714 262 4511 264 8178 267.1717 269 5129 237 238 374 7483 376 5770 378 3979. 482 8736 484 2998 485 7214 382 0170 383 8154 385 6063 271 8416 274 1578 276 4618 281 0334 283 3012 285 5573 287 8017 290 0346 292 2561 294 4662 296 6652 298 8531 263 264 265 266 387 3898 389 1661 390 9351 392 6970 394 4517 396 1993 399 6737. 4ot 4005 4o3 1205 404 8337 406 5402 408 2400 409 9331 A411 6197 413 2998 416 6405. 418 3013 419 9557 421 6039 423 2459 Pats 332 424 8816 |} 333 Log. Ne Log. A N. 487 1384 488 5507 489 9585 492 7604 494 1546 495 5443 506 5050 507 8559 50g 2025 510 5450 511 8834 513 2176 514 5478 515 8738 9171959 | 519 8280 521 1381 522 4442 Log. 1 2 N. Log. N. Log. 334 335 336 339) 338 339 341 342 343 344 345 346 | 348 349 5293 7465 525 0448 526 3393 527 6299 528 9167 530 1997 4ot 402 403 603 1444 604 2261 605 3050 N. Log. 669 3169 670 2459 671 1728 Loh 405 406 532 7544 534 0261 535 2941 536 5584 537 8191 539 0761 54o 3295 541 5792 542 8254 407 408 409 AIl Gt2 413 414 415 416 fh GOL 352 353 | 354 b 355 356 | 357 358 | 359 361 F 362 f 363 364 365 366 367 368 | 369 | 371 | 372 ioe | 374 § 375 376 1 377 378 379 ft 381 | 382 | 383 545 3071 546 5427 547 7747 549 0033 550 2284 551 4500 417 418 552 6682 4 553 8830 555 0944 097.5072 558 7086 559 go66 561 1014 562 2929 563 4811 564 6661 565 8478 567 0264 569 3739 | 437 570 5429 571 7088 572 8716 574 0313 575 1878 576 3414 577 4918 578 6392 580 9250 582 0634 583 1988 606 3814 607 4550 608 5260 609 5944 610 6602 611 7233 613 8418 614 8972 615 g5or 617 0003 618 o481 619 0933 673 0209 673 9420 674 8611 675 7783 676 6936 677 6070 678 5184 679 4279 680 3355 534 Bos 536 537 538 539 AAI 542 543 682 1451 683 0470 , 683 9471 620 1361 621 1763 622 2140 624 2821 625 3125 626 3404 627 3659 628 3889 629 4096 630 4279 631 4438 632 4573 634 4773 635 4837 636 4879 637 4897 638 4893 639 4865 640 4814 641 4741 642 4645 644 4386 645 4223 646 4037 647 3830 648 3600 649 3349 684 8454 685 7417 686 6363 687 5290 688 4198 689 3089 691 0815 691 9651 692 8469 693 7269. 7269 694 6052 695 4817 696 3564 697 2293 698 1005 699 8377 700 7037 701 5680 LOGARITHMS OF NUMBERS. N. Log. N. Log. a -} 727.5413 | 601 | 778 eee 728 3538 729 1648 729 9743 730 7823 731 5888 602 603 604 605 606 733 1973 733 9993 734 7998 735 5989 736 3965 TXT 7 1926, 607 608 609 611 612 613 737 9873. 9873 614, 738 7806 739 5723 741 1516 741 9391 97427251 615 616 650 3075 651 2780 652 2463 384 P 385 | 386 | 387 p 388 | 389 391 392 | 393 395 396 397 398 584 3312 585 4607 586 5873 587 7110 588 8317 589 9496 592 1768 593 2861 594 3926 595 4962 596 5971 597 6952 598 7905 599 8831 399 600 9729 N. Log. 654 1765 655 1384 656 0982 657 0559. 0559 658 o1t4 658 9648 659 9162 660 8655 661 8127 663 7009 664 6420 665 5816 666 5180 667 4530 668 3859 Log. 529 531 532 533 N. 702 4305 703 2914 704 1505 705 0080, 705 8637 706 7178 708 4209 709 2700 FIO 1174 710 9631 711 8072 712 6497 AES 713 4905. 714 3298 715 1674 716 8377 7176705 718 5017 719 3313 720 1593 720 9857 721 8106 722 6339 9723 4557 725 0945 725 9116 726 7272 Los. 743 5098 744 2930 745 0748 745 8552 746 6342 747 4118 748 9629 749 7363 790 5084 751 2791 752 0484 752 8164 753 5831. 754 3483 755 1123 756 6361 757 3960 758 1546 4 | 758 911g 759 6678 760 4225 633 634 635 636 637 638 639 641 642 643 779 5965 | 780 31 780.3978 | 781 0369 = | 781 7994) : 782 789 192k 786 0412) | 786 7514) ‘| 787 4605. | 788 1684 | 738 875 789 S807" 5807 790.2852 | 790 9885. | 791 6906 7930916 | 793 7904 794 4880 802 0898 t 802 773 : 803 4571) 804 12 1394 _ 804 8207 — 805 500 806 8580, 807 5350 580 808 2110 761 1798 761 9278 762 6786 564 1761 764 9230 765 6686 766 4128 767 1559 767 8976 768 6381 769 3773 770 1153 771 5875 772 3217 773 0547 773 7864 774 5170 779 2¢ 2463 644 645 646 647 648 649 651 652 653 654 655 656 657 658 659 661 662 663 775 9) 9743 | 664 776 7012 Log. 665 777 4268 | 666 N. ’ a 812 2447 813 5810 — 814 24 M N. 668 - 669 671 | 672 | 673 674 675 676 677 678 | 679 681 682 683 654 685 686 87 688 N. a Log. 824 7765 825 4261 826 7225 827 3693 828 o151 828 6599 829 3038 829 9467 830 5887 831 2297 831 8698 667 | 824 1258 Log. N. Loge ae Log. N. 865 6961 866 2873 866 8778 867 4675 868 0564 868 6444 869 8182 870 4039 870 9888 871 5729 872 1563 872 7388 833 1471 833 7844 834 4207 835 0561 |_ 835 6906 836 3241 §36 9567 837 5884 838 2192 839 4780 840 1061 840 7332 841 3595 841 9848 842 6092 8/3 2398 843 8554 844 4772 845 7180 846 3371 846 9553 847 5727 848 1891 848 8047 849 4194 850 0333 850 6462 851 8696 §52 4800 853 0895 853 6982 654 3060 854 9130 855 5192 856 1244 856 7289 873 3206 873 go16 874 4818 877 3713 877 9470 878 5218 8o1 802 803 804 805 806 807 808 809 Sir 812 813 814 815 816 | 817 818 819 903 6325 904 1744 go4 MIO G05 4560. 905.7959 eliabat 906 8735 907 4114 907 9485 909 0209 909 5560 glo 0905 910 6244 gtr 1576 gtt 6902 867 868 869 871 872 873 LOGARITHMS OF NUMBERS. 938 o1gt 938 5197 939 0198 934 935 936 3 Log. | 970 3469 — 970 8116 971 2758 940 0182 940 5165 941 0142 937 938 939 971 7396 972 2028 972 6656 874 875 876 877 878 879. 881 882 883 Q12 2291 912 7533 913 2839 884 885 886 821 822 823 879 0959 879 6692 880 2418 824 825 §26 914 3432 914 8718 915 3998 915 9272 916 4539 916 9800 857 9353 858 5372. 859 1383 859 7386 860 33280 860 9366 861 5344 862 1314 862 7275 863 9174 864 5111 Log. 865 1040 791 792 793 794 795 796 797 798 799 N. 881 3847 881 9550 882 5245 883 0934 883 6614 884 2288 884 7954 885 3612 885 9263 827 828 829 831 832 833 887 0544 | 837 887 6173 888 1795 888 7410 889 3017 889 8617 890 4210 890 9796 891 5375 892 6510 893 2068 893 7618 894 3161 894 8697 895 4225 895 9747 896 5262 897 0770 898 1765 898 7252 899 2732 899 8205 900 3671 900 913 gor 4583 902 0029 902 5468 Log. 849 851 852 853 854 855 856 857 858 859 917 5055 918 0303 918 5545 887 888 889 891 892 893 894 895 896 941 5114 942 0081 942 5041 941 942 943 942 9996 943 4945 943 9889 944 9759 945 4686 945 9607 944 945 946 973. 5806 974 0509 974 au ey 974 9720 975 4318 979 8911 976 3500 976 8083 977 2662 946 4523 946 9433 947 4337 947 9236 948 4130 948 9018 949 8777 950 3649 950 8515 951 3375 951 8230 952 3080 978 1805 f 978 6369 fie 2 79 979 5484 980 0034 980 4579 980 9119 981 3655 981 8186 982 7234 983 1751 983 6263 919 6010 920 1233 920 6450 g21 1661 921 6865 922 2063 897 898 B99! gol go2 903 952 7924 953 2763 953 7597 984 0770 984 5273 984 9771 954.7248 955 2065 955 6878 904 905 906 956 1684 956 6486 957 1282 985 4265 985 8754 986 3238 987 2192 987 6663 988 1128 924 7960 925 3121 925 8276 926 3424 926 8567 927 3704 9°07 908 a? 957 6073 958 0858 958 5639 Oil gi2 g13 959 5184 959 9948 960 4708 927 8834 928 3959 928 9077 929 9296 930 4396 g3o 9490 931 4579 g31 9661 932 4738 932 9808 ; 933 4873 933 9932 914 915 916 SEZ 918 519 921 922 ( 23 924 925 926 861 862 863 864 865 866 N. 960 9462 961 4211 961 8955 988 55go 989 0046 989 4498 989 8946 990 3389 990 7827 991 6690 992 1115 992 5535 962 3693 962 8427 963 3155 992 9951 993 4362 993 8769 964 2596 964 7309 905 2017 965 6720 966 1417 966 6110 935 0032 935 5073 936 0108 936 5137 937 o161 927 928 929 31 30 969 8816 937 5179 | 933 ‘Log. N. 967 0797 967 5480 g68 0157 968 9497 969 4199 Log. 994 3172 994 7569 995 1963 996 0737 996 5117 996 9492 997 3864 997 8231 998 2593 | 998 6952 999 1305 999 5655 | Log. 4 LOGARITHMS OF NUMBERS. Num. 0 ] 2 3 4 1000 [000 0000|0434|0869| 1303/1737 OI 434114775)|5208) 5642/6076 02 | * 8677\911119544\9977|¢411 03 | 001 3009|3442)3875|4308!4741 04 | * 7337/7770/8202/8635|9067 “05 #002 1661|2093| 2525|2957/3389 ‘06 5980|641 1|6843|7275|7706 07 | 003 0295]0726)1157/1588)2019 08 4605|5036/5467|5898|6328 09 | * 8912/9342 9772 #203)}0633 10 10 | 004 3214|3644|4074|4504|4933 II #as75 2 7941 837 8800/9229 12 | 005 1805}2234/2§63) 3092/3521 13 6094|6523|6952|7380|7809 14 | 006 0380/0808) 1 236] 1664) 2092 15 4660/5088)/5516/5944/6372 16 | * 8937!9365/9792|¢219|0647 17 | 007 3210/3637|4064|4490| 4917 18 | * 7475!7904/8331|8757/9184 19 | 008 1742/2168) 25g94|3020] 3446 10 20 6002/6427/6853!7279|7704 21 | 009 0257/0683) 1108|1533!11959 22 4509) 4934|5359!5784/6208 23 | * 8756|9181 Bos #030|0454 24 | 010 3000}3424| 3848) 4272|4696 25 | * 7239/7662/8086/8510|8933 26 | O11 1474|1897|2320|2743|3166 27 5704|6127|6550/6973!7396 28 | * 9931|#354)0776/1198) 1621 29 | 012 4154)4576|4996|5420|5842 1030 | * 8372/8794\9215|9637|%059 31 | 013 2587/3008)3429|3850}4271 32 | * 6797)7218]7639|8059/8480 33 | 014 1003/1424]1844]2264|2685 34 5205|5625|6045|6465|6885 35 * 9403}9823]¢243}0662/1082 36 | 015 3598]401 7/4436) 4855|5274 37 | * 7788/8206|8625|9044|9462 38 | 016 1974)2392|2810|3229|3647 39 6155/6573|6991|7409|7827 10 40 | 07 0333}0751}1 168] 1586) 2003 4I 4507|4924|5342|5759|6176 42 * 8677|9094|9511/9927/#344 43 | 018 2843}3259)3676|4092|4508 44) * 7005/7421/7837 6953 R469 45.| 019 1163}1578 1994|2410|2825 46 5317|5732|6147|6562/6977 47 * 9467|9882|e296)0711|1126 48 | 020 3613]4027|4442|4856|5270 49 | * 7755|8169|/8583/8997|9411 10 50 | 021 1893]2307/2720|3134/3547 51 6027|6440|6854|7267|7680 52 | 022 0157/0570|0983}1396)1808 5g 4284) 4696|5109/5521|5933 54 | * 8406/8818)9230/9642]+054 55 | 023 2525)2936|3348/3759) 4171 56 * 6639|7050|7462|7873)/8284 57 | 024 0750|1161}1572|1982]2393 58 4857|5267|5678/6088|6498 59 | * 8960)/9370/9780)|¢190|0600 Num Una Bigg sh eS SE NOY EE 2171|2605|3039 6510/6943|7377 0844|1277|1710 5174|5607|6039 9499|9932|#364 38211425314685 8138/8569/g001 2451\2882|3313 6759!7190|7620 1063}1493|1924 5363|5793/6223 99 4088/0517 950|4379|4808 8238 2521 6799 1074 8666/9094 2949|3377 722717695 1501/1928 5344|5771|6198 9610) ¢037|0463 3872|4298|4724 8130|8556/8981 2384|2809|3234 6633/7058}7483 0878] 1303/1727 5120/5544|5967 9357|9780|#204 3590]4013|4436 7818/8241 |8664 2043}2465|2887 6264/6685/7107 0480|0go01}1323 4692|5113/5534 8901|9321|9742 3105}3525}3945 730517725|8144 1501|1920|2340 5693/6112/6531 9881}¢300|0718 4065) 4483}4g01 8245|8663|9g080 2421|2838|3256 6593}7010|7427 0761/1177|1594 4925|5341}5757 9084|9500/9916 3240|3656| 4071 7392|7807|8222 1540}1955/236 5684 et: 651 9824) ¢238)0652 3961437414787 8093)/8506/8919 2221/2634|3046 6345|6758/7170 0466|0878}1289 4582|4994|5405 8695/9106/9517 2804|3214|3625 6909|7319|7729 TO10|1419|1829 cen og Saee 3473|3907 7810/8244 2143/2576 6472/6905 0796)1228 5116/5548 9432/9863 3744|4174 8051/8481 2354|2784 6652|7082 0947|1376 5237/5666 9523!9951 3805] 4233 8082/8510 2355|2782 6624|7051 0889) 1316 5150/5576 9407/9832 3659} 4084 7907/8332 215142575 6391|6815 0627|1050 4859}5282 9086|9509 3310|3732 7529/7951 1744|2165 5955|6376 ¢162/0583 4365}4785 8564/8984 2759/3178 6950 Tee 1137|155 5319|5737 9498}9916 3673|40g0 7844/8260 2010|2427 6173/6589 #332/0747 4486)4902 8637}9052 2784|3198 6927/7341 1066|1479 5201/5614 133219745 459|3871 7582/7994 1701|2113 5817/6228 9928) +339 40364446 | 8139/8549 2239) 2649 = Oe, NO COA OMOB cp ei Diff. & Mult, 430] 432| 434 860| 864; 868 1290|1296) 1302 1720}1728)1736 | 2150|2160| 2170 2580|2592) 2604 3010)|3024'3038 | 3440 3456,3472 3870)3888) 3906 — ee | | | | OO OY ANH wn nh COU AOR Gv who Cw HA ab wr wed hy COI HO wy H |xo CO~AI Mah wn ~ ho CO HOW wp 424| 426) 428 — 1272|1278|1284 © 1696)1704)1712 2120/2130|2140 © 2544|2556| 2568 — 2.968)}2982|2996 — 3392|3408|3424 | 3816)3834|3852 420| 421| 422) | 840] 842) 844 1260|1263|1266 1680} 1684) 1688 2100|2105|2T10 2520|2526| 2532 2940} 2947 28 3360|3368|3376 3780|3789/3798 | 417] 418| 419 | 834| 836} 838 | 1251|1254/1259 1668|1672|1676 2085|2090|2095 2502|2508 at 2919/2926] 2933 | 3436 3344 3353 3753)/3762|3771 © 414} 415| 416 828] 830} 832_ 1242|1245|1248 | 1656|1660) 1664 | 2070|2075|2080 - 2484|2490|2496 2898|2905|2912 3375 3300 3308 3726|3735|3744 411] 412), 41d 822| 824) 826 1233|1236|1239 +4 2466 ee a 4 2877|2884] 2891 © 3288|3296|3304 | 3699/3708 3717 408| 409} 410° 816 818 ae 1224/1227|1230 | 1632| 1636) 1640 2040|2045| 2030 2448|2454|246 2856/2863| 2870 © 3264|3272|3280 3642/3681) 3 Num. LOGARITHMS OF NUMBERS. ee ke: Ge. ike, A 1060 | 025 3059/3468) 3878) 4288) 4697 I * 7154!7563)7972/8382|8791 026 1245/1654) 2063|2472|288r 5333)/5741|6150/6558]/6967 * 9416/9824) 4233)0641| 1049 027 3496) 3904) 4312|4719/5127 * 7972/7979|8387|8794|9201 028 1644) 20512458) 2865] 3272 5713)/6119/6526/6932|7339 * 9777|+183|0590/0996) 1 402 029 3838) 4244|4649|5055|5461 * 7895)8300/8706| 9111/9516 030 1948} 2353/2758) 3163/3568 5997|6402/6807/721 1/7616 031 0043}0447/0851|1256} 1660 ~ 4085/4489] 4893|5296|5700 * 8123/8526|8930 93 3\9737 032 2157/2560] 2963) 3367/3770 6188]6590|6993)7396|77 033 0214/0617/ 1019/1422 1824 4238) 4640|5042|5444|5846 * 8257/8659|9060/9462/9864 034 2273)]2674|3075|3477 3808 6285|6686/7087|7487/7888 035 0293|0693}1094| 1495/1895 4297| 4698) 5098/5498 /5898 * 8298|8698}9098/9498|9898 036 2295) 2695) 3094/3494 3893 6289|/6688)}7087|7486|7885 037 0279|0678/1076)1475|1874 4265! 4663|5062}5460|5858 * 8248|5646|9044|9442|9839 038 2226) 2624|3022/3419/3817 6202/6599|/6996|7393|7791 039 0173/0570|0967| 1364/1761 4141}4538]4934}5331|5727 # 8106/8502/8898!9294|9690 040 2066) 2462|2858!3254|3650 6023/6419|6814/7210/7605 * 9977|¢372\0767| 1162/1557 041 3927|4322/4716)5111/5506 * 7873/8268/8662/9056)9451 042 1816) 2210| 2604) 2998|3392 5755|6149|/6543|6936)7330 * 9691|+084/0477|0871|1264 043 3623)4016|4409| 4802|5195 * 7951|7944|8337|8729|91 22 044 1476) 1869}2261| 2653/3045 5398|5790/6181/6573/6965 * 9315/9707|#099|0490|0882 045 3230|3621|4012|4403 4795 * 7141|7531|7922/8313|8704 046 1048/1438 1829/2219/2610 He 5342|5732|6122/6512 * 8852/9242|9632|¢021/0411 047 2749)3138|3528|3917| 4306 * 6642/7031/7420|780 ae 0921|130 1698 2087 3 048 0532 4418) 4806|5195|5583/5972 * 8301/8689|9077|9465|9853 0. oO eee as 9b yy ig 5107|5516|5926/6335/6744 9200 ee ¢018|0427/0836 3289/3698} 41067|4515)4924 7375|7783/8192|8600 “se 1457| 1865] 2273! 2680/3088 5535|5942|6350|6757|7165 9609) +016}0423}0830} 1237 por 4086) 4492| 4899/5306 8152/8558)8964|9371 1808] 2214/2620}3026/3432 5867|627216678|7084 7489 9922|4327/0732|1138/1543 3973}4378)4783|5188) 5592 8020/84 25|8830| 9234) 9638 2064] 2468} 2872|3277/3681 6104|6508)/691 2/7315|7719 #140|0544|0947|1350|1754 4173)4576|4979|5382|5785 8201|8604|}9007|9409|981 2 2226) 2629/3031/3433|3835 624816650)7052/7453|}7855 ¢265|0667|1068]1470/1871 4279) 4680|508 1/548 2/5884 8289|8690|9091/9491|9892 2.2.96] 2696| 3096/3497) 3897 6298/6698}7098/7498) 7898 #297|0697|1097| 1496] 1896 4293|4692|5091/5491|5890 8284/8683) 9082|9481|9880 2272)|2671|3070|3468|3867 6257|/6655/7053/7451|7849 ¢237|0635)1033/1431|1829 4214) 461 2|5009}5407|5804 8188}8585|8982!937919776 2158]2554}2951|3348/3745 6124|6520|6917/731 3/7709 086/048 2|0878} 1274] 1670 4045|4441|4837|5232)5628 8001|8396|8791/9187|958 2 1952|2347)2742/3137|3532 5900]/6295|6690|7084}7479 9845|¢239|0633) 1028/1422 3786) 4180] 4574}4968|5361 |. 7723/8117/8510/8904 9297 1657|2050]2444) 2837) 3230 5587|5980|6373/6766)7159 9514/9907} +#299|0692| 1084 3437|3829)4222|4614|5006 7357|7749|8140|8532/8924 1273|1664)2056|2447| 2839 5186|5577|5968/6359|6750 9095|9485/9876) ¢267|0657 3000) 3391)3781|4171|4561 6902|7292|7682/8072|8462 0801|1190|1580) 1970/2359 4696|5085|5474/5864/6253 8587|8976|9365|9754| «143 2475|2864|3253|3641|4030 6360|6748}7136|}7525)7913 #241}0629|1017| 1405/1792 a0 ds 58. 9 Diff. & Mult. 405} 406] 407 810} 812! 814 1215|1218|/1221 1620] 1624/1628 2025|2030|2035 2430|2436|2442 2835|2842 2849 3240|3248|3256 3645}3654)3663 | SO CON OAR Wd ma COI OHO wn m [so CON MAOAR wh mI Cr AOR wry 4 402| 403| 404 804} 806) 808 1206/1 209/1212 1608/}1612/1616 2010|2015}2020 2412|2418|2424 2814) 2821/2828 3216|3224/3232 3618] 3627|3636 399| 400] 401 798| 800] 802 1197/1200|1203 1596) 1600}1604 1995] 2006] 2005 2394|2400)2406 2793| 2800] 2807 3192|3200|3208 3591|3600|3609 396] 397) 398 792| 794| 796 1188|11g1|1194 1584) 1588)1592 198q)1985|1990 2.376) 2382/2388 2772|2779|2786 3168|3176|3184 3564|3573/3582 393} 394) 395 786| 788) 790 1179|1182/1185 157211576/1580 1965] 1970/1975 2358) 2364|2370 2751/2758/2765 3144|3152|3160 3537|3546|3555 OW OY OUR W Hho OI OMAR wD 4] 390| 391] 392 780] 782] 784 1170|1173|1176 1560] 1564|1568 1950]1955|1960 2340} 2346}2352 2930] 2737/2744 3120/31 28/3136 3510|3519)3528 OO ODN DOW wn a A® 5 774| 776] 778 1161|1164}1167 1548] 1552)1556 1935|1940|1945 2322\2328)2334 2709|2716|2723 3096) 3104|3112 3483|3492|3501 | Diff. & Mult. Y Num. 0 1 2 0 Do LOGARITHMS OF NUMBERS. me : af: eit a RE a Sh AES OP va te © SA ES ne 3 4 1120 [049 2180/2568)2956|3343|3731 21 6056|6444|6831|7218)7606 22 | * 9929|¢316)0703|1090|1477 23 | 050 3798/4184) 457114958|5344 24 | * 7663/8049/8436|8822|9208 25 | 051 1525/1911|2297|2683!3069 26 5384|5770|6155|6541|6926 27 | * 9239]9624|¢of0|0395|\0780 28 | 052 3091/3476)3861 4246| 4631 29 | x 6939)732417709|8093|8478 11 30 | 053 0784]1169|1553|1937|2321 OT 4626)5010/5394|5778|6162 32 | «x 8464)8848)9232|9615|\9999 33 | 054 2299|2682/3066|3449| 3832 34 6131/6514/6896/7279 7662, 35 * 9959|#341|0724)1106)1489 36 | 055 3783)4166/4548| 4930/5312 37 | * 7605/7987|8369|8750\9132 38 | 056 1423}1804|2186|2567|2949 39 5237|5619|6000/6381|6762 1I 4o * 9049|9429|9810\¢191|0572 4t | 057 2856)3237|3618/3998|4379 42 * 6661/7041|7422|7802/8182 43 | 058 0462}0842|1229|1602}1982 44 4260} 4640|5019|5399|5778 45 | * 8055)8434|/8813|9193/9572 46 | 059 1846|2225)2604| 2983) 3362 Pe 5634|6013}6391|6770|71 48 48 * 9419/9797\¢175|0554}0932 49 | 060 3200|]3578/3956|4334/4712 1150 | *°6978/7356|7734/81 11/8489 51 | o61 0753}1131|1508} 1885/2262 52 4525|4902|5279)5656|6032 53 | * 8293|8670\9046\9423|9799 54 1 062 2098/2434) 281113187/3563 55 5820 6196 6572|6948|7324 56 | * 9578)9994}4330|0705) 1081 57 | 063 3334|3709)4084| 4460) 4835 58 | «* 7086/7461|7836/8211|8585 59 | 064 0834}1209) 1584/1958) 2333 f 11 60 4580} 4954|5329|5703|6077 61 * 8322)8696|9070|9444|9818 62 | 065 20612435} 2809/3 182)3556 63 5797|6171|6544|6917|7291 64 | * 9530|9903)¢276/0649| 1022 65 | 066 3259|363214005|4377|4750 66 | * 6986)7358|7730|8103|8475 67 | 067 0709|1081|1453|1825|2197 68 4428|4800|5172/5544|5915 69 | * 8145)8517/8888)9259/963r t IL 70 | 068 1859/2230)2601)2972|3343 71 5569/5940|631 1/6681|7052 72.4 #* 9276/9947\¢017|/0388/0758 73 | 069 2980/3350/3721|4091|4461 74 | * 6681/7051|7421|7791|8160 75 | 070 0379)/0748|1118}1 487] 1857 76 4073|4442|4812}5181|5550 77. | * 7765|8134|8503|8871\9240 78 | 071 1453}1822|2190/2559|2927 5138)\5506|5875|/6243}6611 3. 4 Br 6 UT as eo 4119|4506|4894/5281 7993|8380|8767|9154 1863] 2250] 2637|3024/3411 5731/6117|6504|6890|7277 9595|9981|*367|0753| 1139 3455|384114227|4612 nore 731.2 7097 8083|8468|8854 1166|1551|1936) 2321/2706 5016|5400|5785/61 70/6555 8862/9247|9631|¢016)0400 2706|3090|3474|3858) 4242 6546)6929|7313}7697|/8081 ¢38 2/0766] 1149|1532|1916 42154598) 4981 |5365|5748 8045|8428/8811|9193/9576 1871|2254| 2636/3019|3401 5694|6077|6459|6841/7223 ane 9896) ¢278|0659| 1041 330/371 2|4093|4475| 4856 7143|7524|7905|8287|8668 0953|1334|1714]2095|2476 4759|5140|5520/5900|6281 8562/8942)9322)9702|+082 2362/2741|3121/3501/3881 6158|6537/6917|7296|7676 9951|¢330|0709) 1088} 1467 3741141 19|4498]4877|5256 7527|7909|8284|8662| 9041 1310}1688| 2066) 2444) 2822 5090/5468) 5845|6223|66o1 8866) 9244) 96219999) 376 2639|3017|3394/3771|4148 5669 541 #176/0552/0929|1305| 1682 3939] 4316) 4692|5068|5444 7699|8075|8451|8827|9203 1456) 1832|2207|2583} 2958 5210|5585)5960|6335|6711 8960}9335|9710|4085|0460 2708|3082|3457|3831|4205 6451|6826]7200]7574}7948 #192|0566}0940) 1314) 1688 3930|4303|4677|5050|5424 7664|8037|8410|8784 9157 1395|1768)2141|2514|2886 5123|5495|5868|6241|/6613 8847|9220 Hee 9964] 336 2569] 2941|3313|3685|4057 6287|6659|7030/7402|7774 #002|/0374|0745|1116)1487 3714|4085)4456| 4827/5198 6409|6786|7163|7540|7916 | 7423)7794|8164|8535 1129|1499|1869|2240 4831/5201|5571|5941 8530|8900|9270|9639 2226}2596|2965}3335 5919|6288/6658/7027 9509|9978| #347/0715 05. 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Se Oa 78. -Q * 8820 YS eee 9924|+292 Ries sa a 234|3602|3970 6175|6542/6910|7277|7644 * 9847|¢215}0582/0949|1316 073 3517|3884| 4251|4617|4984 * cy ER ei pea 074 0847|1213)1579|1945}2311 4507|4873|5239)5605/5970 « 816418530188951926119626 075 1819/2184|2549)2914)3279 5470|5835/6199|6564/6929 * 9118|9482|9847\¢211 of76 076 2763|3127/3491|3855|4220 ~ 6404|6768)7132}7496|7860 077 0043/0407}0771|1134|1498 3679/4042|4406| 4769|5133 * 7312/7675|8038|8401|8764 078 0942| 1304) 1667| 2030] 2393 4568|4931|5293/5656|6018 * 8192 8554 8916/9278)}9640 079 1812|2174/2536|2898]3260 5430)5792|6153/6515|6876 * 9045/9406|9767|+1 28/0490 080 2656) 3017|3378|/3739|4100 6265|6626|6986) 7347/7707 * 9870|¢231\0591\0952|1312 o81 3703 3833) 4193|4553|4913 * 7073|7432|7792|8152/8512 082 0669] 1029] 1388] 1748/2107 4263] 4622|4981|5341|5700 * 7854|8213|8571/8930|9289 083 1442| 18o0la159l2517|28%6 §026/5385)5743/6101/6459 8608 |8966) 9324) 9682/ #040 184 2187) 2545|2902|3260|3618 5763|6120/6478)6835|7192 # 9336)/9693|+050|0407|0764 085 2906|3263|3619/3976| 4333 6473|6829|7186)7542|7899 086 0037/0393/0750]| 1106/1462 ~ 3398/3954] 4310| 4666/5022 - 8197/79 12|7868/8224/8579 087 071 2|1067|1423)1778/2133 — 4265|4620]4975|5330|568 *. 7814|8169|8524/8878}923 088 1361/1715|2070|2424/277 4905|5259|5613|5967/6321 1180 8 4337 8011 1683 5351 9016 2677 6336 9992 0940 4584 8224 1862 5496 9127 2755 6380 ¢003 3622 7238 0851 4461 8068 1672 5273 8871 2467 6059 9648 3234 6817 0398 3975 7550 1121 4690 8255 248 6040 4705|5072 8379,8746 2050) 2416 5717/6084 382)9748 043)3409 6702|7068 #357|0723 3644) 4010|4375|4740 7294|7659|8024|/8388 1305] 1669 4948|5312 8588/8952 2225/2589 5859/6222 9490|9853 3118/3480 6743)7105 0365/0727 vided 7999|7961 1212/1573 482215183 8429/8789 2032|2393 5633)5993 9231/9591 2826/3185 6418|6777 #007|0365 3593|3951 7176|7534 0756) 1114 4333|4690 7907|8264 1478/1835 5046)5403 8612/8968 1818) 2174/2530) 2886 5378}5734|6089|6445 8935|9290|9646| +001 2844|3199 639516750 8}9943|+297}0652 3|3488)}3842|4196 7030/7384 0660) 1028/1396|1763) 2131 5440|5807 9113\9480 2783 3 50 6450/6817 #114\0481 3775/4141 7433'7799 1088|1453 51058 8753 2398 6040 2034 5676 9316 2952 6585 #216 3843 7467 1089 3316 6949 0579 4206 7830 1451 5068 8683 2295 5904 go1o 3113 6713 #310 4707 8322 1934 5543 g15o 2753 6353 9950 3545|3904 7136|7495 0724/1083 4309| 4668 7892/8250 1471|1629 5048|5405 8621/8979 2192/2549 5760/6116 9324|9681 3242 6801 0357 3909 7459 1006 4550 8092 3554 7104 7738 9680 | * 8446)8800/9153)9507|9861 089 1984] 2337/2691 |3045/3398 5519|5872!6226\6579|6932 ‘| * 9051|9404|9757|¢1 10/0463 690 3581|293313286|3639)3 gi 6107|6460|\681 9|7164|7517 * gO en o29 091 3152}3504|3855| 4207/4559 6670|7021|7373}7724|8076 (092 0185}0536|0887) 1239) 1590 3697|4048| 4399|4750|5101 * 7206}7557|7908|8259|860 093 0713/1064|1414)1764}o11 Ooo be St. oes 0569 4105 7639 1169 4697 7869/8222 1392|1744 4911|5263 8427/8779 1941|2292 0923/1276 4459) 4812 7992|8345 1522/1875 5049/5402 8574/8926 2096) 2448 5614/5966 9130/9482 2644) 2995 1630 5165 8698 2228 5755 9279 2800 6318 9833 3346 5452|5803|6154|/6505|6856 8960|9311|9661}¢012|0363 2465|2816|3166|3516) 3867 OO COI OOW wn WO OU ONKwre WO ON ONK wn 4 OW OU OOK wn #4 O CI OTOK ww WO OT AaAHRwh Diff. & Mult. 365| 366 730] 732 1095) 1.098 1460) 1464 1825|1830 2190/2196 2555) 2562 2920/2928 3285 3294 362 363| 724| 726 1086) 1089 1448|1452 1810/1815 2172/2178 2534|2541 2896|2904 392813265 360 720 1080 1440 1800 2160 2520 2880 3 7 1077 1486 1795 2194 Des Fe, 2872 3231|3240 356 712 1068 1424 1780 2136 2492 2848 3204 357 714 1071 1428 1785 2142 2499 2856 nor5 353] 354 706| 708 1059) 1062 1412\1416 1765|1770 2118/2124 2471/2478 2824|2832 3177|3186 350] 351 367 734 1101 1468 1835 2202 2569 2936, 3303 364 728 1092 1456 1820 2184 2548 2912 3276 361 722 1083 1444 1805 2166 2527 2888 3249 358 716 1074 1432 1790 3148 2506 2864 Bob! 385 710 1065 1420 170 2130 2485 2840 3195 352 700| 702] 704 1050|1053|1056 1400| 1404|1408 1750/1754) 1760 2100/2106|2112 2450|2457|2464 2800) 2808) 2816 3150}3159|3168 | 2 Dei a ie > Ea AA Diff. & Mult. 8 LOGARITHMS OF NUMBERS. Bd - > | 1240 [093 4217/4567|4917/5267|5618 | 5968/6318|6668|/7018|7368 | 1 | 349) 350) 351 _ 41 | * 7718)8068/8418|8768|9117 | 9467|/9817|%167|0517|0866 | 2 | 698) 700} 703 42 | 094 1216)1566|1915}2265|2614 | 2964|/3313}3663) 401 2|4362 | 3 |1047/1050 1053 | 43 4711|5061/5410|5759|6109 | 6458|6807|/7156|7506}7855 | 4 |1396)1400/1404. 44| * 8204|8553|8902|9251|9600 | 9949|¢298|0647|0996)1345 | 5 |1745)1750|1755 © 45 | 095 1694}2042]2391|2740|3089 | 3437|/3786)4135| 4483) 4832 6 ac sA56 ae 46 5180 5 5877|6226/6574 | 6923/7271|7620|7968/8316 Z a5qal toot BS * 47 | »* 8665!9013/9361/9709|4057 | 0406!0754]1102]1450|1798 aay 315013 5 48 | 096 2146|2494|2842|3190|3538 | 3885|4233/4581 4929 Bona |_9 Tate T0 ie 49 5624] 5972|6320|6667|7015 | 7363)7710|8058/8405/8753 2 1256 # 9100/944819795|¢14210490 | 0837/1184]1531|1879]2226 - aii 51 | 097 a che 3769 3614 3962 4309} 4656|5003 5340 5696 : oe sad a ‘ 52 6043|6390/6737|7084/7431 | 7777|8124|8471|8817/9164 | 3 Be eas on 4 53 | * 9511/9857}/¢204}0550}0897 | 1243}15g90}1936)2283/2629 | 4 |138411388l1399_ 54 | 098 2975)3322|3668)401 4/4360 | 4707|5053|5399|5745|6091 | 5 1930449 rode 55 _ 6437/6783)71 291747517821 | 8167/8513|885919205|9551 | 6 |2076/2082)2088 — te ee es #242/058810934|1279 | 1625|1971|2316|2662|3007 | 7 |2422/2429/2436 — 57 | 099 3353|3698|4044|4389 138 50801542515771 (611616461 | 8 |2768!/2776/2784 58 | = 6806)7152}7497|7842|8187 | 8532/8877|922219567/9912 | 9 3114|3123}3132 © 59 | 100 0257|0602/0947/1292|1637 | 1982|/2327|2671|3016)3361 ah) 12 60 3705|4050|4395|4739|5084 | 5429|5773|6118]6.462|6806 . a 61 | * 915117495 7840 $18, 8528 8893 9217/9561|9905|4249 | 1 | 343 344 345 62 | 101 0594]0938)1282)1626)1970 | 2314|2658]3002|3346|36g0 | 2 686) 688} 690 63 4034|4377|4721|5065|5409 | 5752|6096|6440/6784|7127 | 3 |1029/1032)1035 - 64] * 7471/7814|8158/85o1 8848 g188|9532|9875)+219|0562 s (ae 1376 a 65 | 102 0905)1249/1592|/1935|2278 | 2621|2965}3308)365 1/3994 Vira Seis 66} 43371468015023/536615709 | 6052 6 oe 6738/7081 (9423 : ee aclae 67 | * 7766 8) 8452|8794|9137 | 9480|9822|¢165}0507|0850 | g |, 4d 68 | 103 1193]1535|1877/2220|2562 | 2905)3247/3589|3932|4274 San ~ 69 — 4616)4958|5301|5643/5985 | 6327/6669|701 1|7353|7695 2 i 1270 | *. 8037/8379|8721|9063)9405 | 9747|#089|0430\0772|1 114 71 | 104 1456}1797|2139|2480/2822 | 3164/3505/3847/4188)4530 | 1 | 340 ee 342” 72 4871|5213/5554|5895|6237 | 6578/6919|7260|7602|7943 | 2 | 680] 682° 684 73} * 8284/8625/8966|9307/9648 | 9989|¢331\0671|101 2/1353 | 3 |1020/1023 10a 74 | 105 1694|2035}2376|2717|3058 | 3398|3739|4080|4421|4761 | 4 |1360 45 510215442|5783|6124|6464 | 6805|7145|7486|7826|8166 | 2 {170° 76 | * 8507/8847:9187|/9528/9868 | +208)0548}0889} 1229] 1569 ; pote 77 | 106 1909|2249) 2589|2929|3269 | 3609|3949|4289|4629|4069 | 2 |? - 8 yA 78 5309|5648|5986|6328|6668 | 7007|7347|7687|8020/8366 | ® |2720)2728\ 3788 79 | * 8705)9045}9385|9724|¢063 | 0403|0742|1082|1421)1760 9_|3060)3069 7 12 80 | 107 2100/2439]2778/3117/3457 | 3796|4135|4474)4813}5152 ae 81 | 5491/5830|6169|6508|6847 | 7156|7525}7664/8203|8541 | 4 | 337] 338] 339 82:| °x 8880 wy 9558|9896|¢235 | 0574)0912|1251/1590}1928 | » | 674] 676] 678 83 | 108 2267|2605}2944|3282|3620 | 3959/4297|4635|4974/5312 | 3 : 84 5650/5986 '!6327|6665|7003 | 7341|767@88017|8355/6693 | 4 85 | * 9031|9369!9707|¢045|0383 | o721|1 396|1734]2072 | > |1685)16g0 1699 86 | 109 2410|2747|3085|3423|3760 | 4098|443994773)5111|5448 6 |2022/2028 2034 87 5785|6123|6460|6798/7135 | 7472/7810/8147|8484/8821 | 7 2.359} 2366) 2373 88 | * 9159\9496|9833|¢170\0507 | 0844/1 rgR|1518|1855|2192 | 8 |2696|2704)2712 89 | 110 2529] 2866|3203/3540|3877 | 4213/4550|4887/522415560 |_9 |3033|3042/309F 12.90 5897|6234|6570/6907|7244 | 7580)7917|8253|8590|8926 : a gt | * 9262)9599|9935!%272/0608 | 0944|1280/1617/1953}2289 334) 335 g2 | 111 2625!2961|3297/3633|3969 | 4306|4642|4977|5313|5649 | | Gaal ool 692 93 5985|6321|6657|6993/7329 | 7664|8000 8336 8671/9007 | 3 ee 94 | * 9343|9678|+014}0350)0685 | 1021|1356|1691|2027/2362 | % |1336 134011344 95 | 112 2698|3033)3368/3704) 4039 | 4374)4709|5045|5380|5715 | 5 |1670)1675 96 6050|6385/6720|7055/7390 | 7725|8060/8395|8730|9065 | 6 |2004|2010 97 | * 9400 ke #069|0404|0739 | 1074]1408]1743]2078|2412 | 7 |2338)2345 98 | 113 2747|3081|3416)3751/4085 | 4420]4754|5088/5423|5757 | 8 |2672/2680 99 6092|6426|/6760|7094|7429 | 7763|8097|8431|8765|g099 | g |3006}3015) Num oe | jee” Dae Oot Coa Diff. & Mult. LOGARITHMS OF NUMBERS, takes cu es) 4 * 9434/9768) ¢102|0436|0770 114 2773/3107|3441|3774|4108 611016443|6777|75 10|/7444 * 9444 ga77 #111|0444/0777 115 2776|3109|3442|3775|4108 6105/6438|6771|7103|7436 # - 9432/9764] #097|0429)0762 116 2756/3088/3420/3753/ 4085 6077|6409|/6741}7073/7405 * 9396|9728|#060/0392|0723 117 2713|3044]3376|3707| 4039 6027|6358/6689/702 1/7352 * 9338|9669|¢000}0331}0662 118 2647|2978 a 3639/3970 5954|6284/6615|6945|7276 *% 9258|9588/9918} 4248/0578 119 2559) 2889/3219|3549|3879 5858|6187/6517/6847|7177 * 9154|9484|9813|¢143|0472 120 2448|2777|3106)3436|3765 * 5739|6068|6397|6726|7055 # 9028|/9357|9686) +01 4)0343 121 2315/2643)2972|3300/3628 5598/5927|6255|6583/691 1 * 8880/9208] 9536/9864| +192 122 21459}2487|2814/3142|3470 5435|5763|6090|6418|6745 * 8709|/9036/9364|9691|¢018 123 19812308] 2635) 2962|3289 525015577|5903/6230)6557 * 8516/8843|9169|9496)9822 124 1781)|2107)|2433|2759|3086 5042|5368|5694|6020|6346 # 8301|8627/8953 9779 9605 125 1558} 1884/2209) 2535/2860 4813|5138|5463|5788|6114 * 8065)/8390/8715/9040|9365 126 1314} 1639] 1964| 2288) 2613 4564 '|4886}5210)5535)5859 * 7806/8130/8454/8779|9103 127 1048] 1372] 1696} 2020/2344. - 4288)4612 4935}5259/5583 #7525 7849|8172|8496|8819 128 0760) 1083) 1407/1730) 2053 3993/4316] 4639) 4962/5285 +o 7223|7546| 7869/8191 /8514 129 0451|0773|1096|1418|1741 36763998) 4321|4643|4965 6899}7221|7543}7865|8187 130 0119|0441|0763}1085|1407 3338|3659|398 1|4303| 4624 6553 6875 7196751817839 ~ & —9767}4088)0409)0730} 1052 131 2978|3299|3620|3941/4262 6187|6507|6828)7149|7469 * 9393/9713|4034)0354)0675 132 2597|2917|3237|3558|3878 _-» 5798/61 19|6439|6758|7078 * 8998)9317/9637 9927 $277 133 2195/2514} 2834|3153|3473 Oe U5 Bey Sie Ser, Ges 73 8-9 1104|1437|1771|2105|2439 4442|4775|5109|5443/5776 7777|8111|8444|8777|9111 II10|1444|1777/2110|2443 4441|4774|5107|5439|5772 7769|8101|8434|8767|9099 1094|1427|1759)2091|2424 4417|4749|5081|5413|5745 7737|8069|8401 |8733/9065 -1055}1387|1718}2050} 2381 # 4370|4702|5033}5364|5696 7683/8014 0993|1324 4301| 4631 7606}7936 og09/123 yt 4530 7506| 7836 o8or| 1131 4094) 4423 7384/7713 8345/8676] 9007 1655} 1986} 2316 4962|5293|5623 8267/8597|8927 1569}1899| 2229 4868)5198|5528 8165/8495|8825 1460/1789]2119 4752|5081|5410 8042!8371|8699 0672|1000}1329|1657|1986 3957/4285] 4614|4942|5270 7239|7568}7896|8224/8552 0520/0848] 1175|1503/1831 3797|412514453|4780}5108 7073|7400|7727|8055/838 2 0345|0672|1000|1327|1654 3616} 3942|4269|4596| 4923 6883|7210|7537|7863)/8 190 #14910475|0802/1128/1454 341 213738| 4064) 4390|4716 667216998|7324 as 7976 9930}4256}058 2|0907| 1233 3186/3511|3837)4162|4487 6439/6764)7089|7414|7739 9690|¢015|0339|0664|0989 2938}3 263) 3587|391 2/4237 6184|6508/6833}7157|7481 9427|9751|#076|0400|0724 2668 | 2992|3316}3640|3964 5907|6230|6554/6878)/7202 9143/9466|9790|¢113}0437 2377|2700}3023|3346|3670 5608/5931 |6254|6577|6g00 8837/9160]}9483|9805/ +128 2064] 2386}2709/3031/3354 5288/5610/5932|6255|6577 8510)8832/915419476|9798 1729|2051|2372|2694|3016 4946/5267 8161|8482 1373] 1694 4583) 4903 7790181 Il 0995|1316 4198|4518 7398|7718 0596)0916 379214112 2 Bee. 8 Oat 5589/591 1/6232 8803}91 24/9446 2015| 2336) 2657 52.24|5545|5866 8431|8752|9072 1636) 1956/2277 4838)}5158|5478 8038/8358|8678 1236)1555/1875 4431|4750|5070 Diff. & Mult. —<—-_. © COWS MNw ww we SO Cry AOK wp ww SO. CO~AI Orn wp = OO OU AMOR wb NO OI OaAWwn we 331| 332] 333 662! 664} 666 993 6 1324 1328 1332 1655] 1660] 1665 1986] 1992/1998 2317/2324]2331 2648 | 2656) 2664 2979|2988 2997 328] 329] 330 656} 658} 660 984) 987| 990 1342/1316|1320 1640} 1645|1650 1968] 1974/1980 2296) 23032310 2624|2632|2640 2952|2961}2970 325] 326] 327 650} 652! 654 975| 978 1300} 1304} 1¢ 1625/1630 1950} 1956 2275/2282 2600] 2608 2925}2934]2 322) 323| 324 644| 646) 648 906) 959) 972 1288] 1292/1296 161q1615|1620 1932]1938]1944 2254|2261/2268 257642584| 2592 2898}2907|2916 f 319] 320] 321 638] 640] 642 957| 960} 963 1276|1280|1284. 1595| 1600} 1605 1914) 1920|1926 2233] 2240|2247 2552}2560| 2568 2871/2880] 2889 Diff. & Mult. LOGARITHMS OF NUMBERS. * 8581|}8900|9219|9538|9857 134 17712090} 2409} 2728/3046 4959|5277|5596| 591 4/6233 * 8144|8462|8780|9099/9417 135 1327}1645| 1963} 2281/2599 4507| 4825/51 43)5461|5779 * 7685|8003/8320}8638|/8956 136 0861/1178/1496)1813/2131 4034} 4352) 4669) 4986/5303 * 7206/7523|7840|8157|8473 137 0375|0691| 1008/1325|1641 3541 3828 4174|4491|4807 6705|7022|7338 “654 7970 * 9867}+183)/0499}0815)1131 138 3027|3343|3659|3974|4290 6184|6500|/6816|7131/7447 * 9339)9655/9970}¢285)\0601 139 2492|2807|3122|3438/3753 5643|5958|6272/6587\6902 * 8791|9106|9420/9735|4050 140 1937|2251| 2566] 2880/3195 5080|5395|5709|6023/6337 * 8229/8536/8850/9164|9478 141 1361|1675| 1988} 2302/2616 4498} 481 1|5125|5438)5752 » * 7632|7946|8259)8572|8885 142 0765} 1078] 1391|1704] 2017 3895|4208| 4520/4833/5146 7022|7335)7648|7960)/8273 143 0148|0460|0773] 1085|1398 3271|3584}3896) 4208] 4520 6392|6704|7016/7328}7640 * 9511/9823/4135}0446|0758 144 2628] 2939}3251|3562/3874 5742|6053/6365|6676|6987 * 8854/9165/9476/9787| +098 145 1964|2275|2586|2897|3207 5072|5382|5693/6004/6314 * 8177|8488/8798|/9108/9419 146 1280|1591|1901|2211|2521 4381|4691|5001|531 1/5621 * 7480|7790|8100|8409)8719 147%0577|0886] 1196/1505}1815 3671/3980) 4290|4599| 4908 6763}7072|738 1|7690|7999 * 9853)/+162/0471 ia 108 148 2941|3250/3558|3867 Ath 6027|6335/6643|6952|7260 * 9110/9418/9726) 4035/0343 149 2191|2499}2807|3115|3423 5270|5578 5886/6193/6501 * 8347|8655|8962/927019577 150 1422|1729| 2036] 2344/2651 4494|4801|5108/5415|5722 * 7564)7871/8178)8485/8792 151 0633 ay 1246) 1553/1859 3699) 4005}4311|4618)4924 6762|7069|7375)}768 1/7987 * 9824|4130|0436|0742|1048 On Leyes 8 4176|/0495|0814)1133|1452 3365|3684|4003|4321|4640 6551|6870}7188/7507|7825 9735|+054|0372] 0690) 1008 2917|3235|3553/3871|4189 6096|641 4/6732) 7050/7367 92739591 |9908)| +226/0543 2448] 2765|3083|3400|3717 5620|5937|6255|6572|6889 8790 9107|9424|9741|4058 1998] 2275|2591| 2908/3225 5124|5440|5756|6073/6389 8287/8603/8919]9235|9551 1447|1763)}2079|2395|2711 4606|4922|5237|5553)5869 7762|8078|8393|8709| 9024 0916]1231}1547|1862|2177 4068) 4383|4698} 5013/5328 7217|7532|7847\8161|8476 0364|0679|0993) 1308} 1622 3509|3823}4138|4452|4766 6651 |6966|7280)7594|7908 9792)|¢106/0419|0733| 1047 2930)3243|3557/3871|4184 6065 9199 2330 6379/6692 9512/9825 2643}2956 7006}7319 4138/0451 3269/3582 5459/5772|6084|6397|6710 8586|8898/9211/9523/9836 1710|2022/2335| 2647/2959 4832|5144|5456|5768|6080 7952|8264|8576|8888/9199 1070}1381| 1693} 2005) 2316 4185|4497|4808]5119|5431 7298/76 10)7921|8232|8543 0409}0720)}1031|1342|1653 3518/3829) 41 40|4450|4761 6625)|6935|7246|7556|7867 9729|+039|0350|0660|0970 2831|3141|3451|3761|4071 5931 )6241|6551/6861/7170 G029/9338|9648!9958| +267 2124|2434|2743|3052)3362 5217/5527|5836|61 45/6454 8308)8617|8926/9235)9544 1397/1706] 2015|2324/2632 4484|4793|5101|/5410/5718 7569|7877|8185/8493|8802 0651 |095g} 1267/1575) 1883 3731|4039|4347| 4655) 4962 6809|7116|7424/7732/8039 9882 #192|0499/0807/1114 2958}3265|3573| 3880) 4187 6030/6337|6644/6951|7257 9099)9406)9712)+019/0326 2166|2472|2779|3085| 3392 5231|5537|5843\6150 6486 8293|/8600|8906)/ 9212/9518 1354] 1660] 1966) 2272/2578 Dy 6): Dee e ee | {S© Cry AOD Wh Hho Cn OOrh wp FAS CON OO wp Kho CO~ Omni wp - OO OWOHOORWN - | CIA OMNwR wv a hee) Cn HAOw wb a — Dy gli keh GB ecm ese hh (OC ae 133 5389|5708|6028/6347/6666 | 6985)7305|7624/7943)|8262 31 638 997 1276 1595 1914 2933 } 3852 2871 317 634 951 1268 1585 1902 2219 2536 2853 315 630 949 126q 1575 1890 22045 2520 2835 313 626 939 1252 1565 1878 2191 2504 2817 311 622 933 1244 1955 1866 2177 2488 2799 309 618 927 1236 1545 1854 2163 2472 2781 307 | 614 21 At: 150 1842 2149 2456 2763 1590 320.” 640 — 960 1280 1600 1920 | 2240 2560 | 2880 318 636 954 1272 am 1908 2926 | 2544 | 2862 98 LOGARITHMS OF NUMBERS. Rb ee Se 152 2883 3189|3495|3801|4107 6246 6552|6858}7163 * 8996|9301/9607| 991 2|4¢217 153 2049) 2354) 2659) 2964|3270 hee 6015/6320 8453 8758|9063| 9368 1500] 1804/2109] 2413 4544|4848|5153|5459 7586|7890|8194|8498 0626,0930/1234)1538 3360}3664)3968}4271/4575 6396|6700) 7003|7307|7610 * 9430|9733) ¢037!0340}0643 156 2462|2765|3068|3371|3674 5492|5794|6097|6400|6703 * 8519)/8822/9124/942719729 157 1544|1847|2149|2452|2754 4568) 4870|5172|5474|5776 * 7589)7891|8193/8495|8797 158 0608]0910}1212/1513)1815 3625|3927|4228/4530| 4831 6640|6941|7243|7544|7845 * 965319954) ¢255}0556/0857 159 2663) 2964/3265|3566| 3867 567 2|5973/6273/6574|6875 * 8678|8979|9280/9580|988 1 160 1683]1983)2284!2584) 2884 4685) 4985)|5286/5586|5886 * 7686|7986)8285|8585/8885 161 0684|0984|1 283} 1583/1883 3680|3980|4279|4578| 4878 6674|6973|7273|757217871 * 9666|9965|+264/0563!0862 162 2656) 2955|3254/3553/3852 5941 * 8149 154 1199 4240 * 7282 155 0322 5644)5943|6241|6540|6839 : * 8630|8928/9227|9525|9824' 163 1614] 191 2|2210}2508|2807 4596|4894|5192|5490|5788 * 7575|/7873|8171|8469|8767 164 0553/0851|1148}1446|1743 3529}3826}4123|4421/4718 6502|6799|7097|7394|7691 * 947419771 |+068|0365|0662 165 2443/2740|3037|3334|3631 5411|5707|6004|6301|6597 * 8376/8673/8969|9265|9562 166 1340} 1636} 1932/2228) 2525 4301|4597)4893)\5 189 5485 —-7261}7556)}7852/8 148|8444 167 0218)051 4/0809] 1105] 1400 3173 3469 3764|4060|4355 6127,6422|6717|701 2|7308 * 9078'9373|9668) 9963) +258 168 rt fis "tae 2617 a4 2|3207 4975 5269|5564/5859|/6153 * 7920 8215)8509|§803|9098 169 0864 1158|1452|1746| 2040 ay ie 4393) 4687|4981 6744|7038|7332|7626|7920 * 9682'9975|¢269|0563|0856 0. A» Se Bend 5.16 4412|4718 7469|7774 0523/0828 3575|3880 6625/6929 9672/9977 2718|3022 576116065 8802/9106 1842|2145 4879/5182 7914/8217 0946} 1249 3977/4280 7006/7308 403210334 3056}3359 6079/6381 9099/9401 2117\2418 5133|5434 8146|8448 11581459 4168|4469 717517476 #181/0481 3184)3485 6186/6486 9185/9485 2182|2482 54,77|9477 8170|8470 A 161/1460 /4150|4449 ~*8°°9 5024/5329 5635 _ 8080 8388 8691 113311439 1744 4185|4490 4795 7234|7539 7844 0586 0891 3631 3935 6370|6674'6978 9410|9714/ 4018 2449|2753 3057 5486|5789 6093 8520/8824 9127 1553} 1856) 2159 4583) 4886 5189 7611|7914|/8216 0637}0939}1 242 366 1|3963| 4265 6683|6985|7287 9702|#004}0306 2720|3022|3323 5736|6037|6338 8749|9050/9351 1760] 2061 |2362 4770|5070|5371 7777|8077|8378 0782] 1082/1383 3785] 4085)4385 6786|7086|7356 9785 4084 0384 2781|3081|3380 5776|6075|6375 8769}9068|9367 1759/2098 |2357 4748|5047|5345 4281 3327 9137|7436|7734|8033)/833 1 #122/0420/0719|1017|1315 3105|3403|3701|3999|4297 6086/6384|668 2|6979|7277 9064!9362|9660/9958} 255 2041 |2339) 2636) 2934|3231 5016|5313)5610|5908|6205 7988)8285)8582|8880)|9177 0959] 1256} 1553) 1850}2 146 3927/4224) 4521)4817)5114 6894|7190|7487|7783|8080 9858}4155|0451}0747| 1043 9821|3117 5781|6077 874019035 1696) 1991 4650} 4946 7603|7898 0553'0848 3501|3796 6448\6742 3413}3709|4005 6373|6669|6965 9331|9627|9922 2287)|2582|2878 5536)5831 8488/8783 1438|1733 4386) 4680 7331/7626 5241 8193 1143 4991 9392|9686 2335} 2629 5275|5569 8213|8507 1150]1443 5 6 7037 998 1|+275|0569 2923)3217|3511 5863/61 57 ee 8801|9094|9 1737| 2030/2324 ens Re Con AOR wn \ | |S© Cn Aok wr feu bey CON AnD wh { WOW SDIMARWN ~ 0 Say Aomrwr -\ CI AON wn =} CY AOR wr = Diff. & Mult. Diff. & Mult. ve 12 LOGARITHMS OF NUMBERS. ‘s Num. OF ND aes ieee Hm eT Pb. «a Diff. & Mult, 1480 | 170 2617/2911|3204/3497|3791 | 4084|4377|4671|4964|5257 | 1 293 | 294 NS 81 5551 5RAA 6137 6430 6923 7017|7310|7603/7896|8189 | 2 56 588 a 82 | * 8482/8775|9068)9361|9654 | 9947|+240|0533|0826)1119 | 3 | 879] 882 — 83 } 171 1412]1704/1997/2290|2583 | 2876|/3168)3461/3754|4046 | 4 | 1172 1176 84 4339|4632|4924)5217|550g | 5802/6095|6387/6680|6972 4 ee a7¢ m 85 7265|7557/7849|8142|8434 | 8727\9019|9311/9604/9896 7 met ee 86 | 172 0188]0480/0773| 1065/1357 | 1649|1941]2233/2526/2818 8 | 2344 | 23500mm 87 3110}3402|3694|3986|4278 rd 4862|5154|5446|5737 9 | 2637 | 2646 88 6029|6321/6613/6905|7197 | 7488/7780|807218364)8655 | 47° ~~ 7 | ~N 89 | ,* 8947|9239/9530|9822/4113 | 0405}0697|0988) 1 280) 1571 14 90 | 173 1863]2154}2446|}2737|3028 | 3320)3611)3903|4194|4485 | 1 291 292 91 4776|5068|5359|5650'5941 | 6233/6524/6815 a106 7397 | 2] 582} 584° | 92 | * 7688)7979/8270|/8561|8852 | 9143/9434/9725|¢016/0307 | 3 873 | 876 93 | 174 0598|0889/1180}1471/1761 | 2052|2343/2634)2925)3215 | 4 | 1164 | 1168° 94 3506)3797|4087|4378/4669 | 4959/5250/5540/5831/6t21 | 5 | 1455 | 1460 5 6412|6702|6993|7283|7574 | 7864/8155/8445|8735|9026 | 6 | 1746 | 1752 26 * 9316}g606 hor #187|0477 | 0767/1057/1348}1638] 1928 Z sel 2000 x 97 | 175 2218)2508/2798|3088)3378 | 3668/3958] 4248|4538/4828 on a Fs 98 5118)5408|5698}5988/6278 | 6567/6857|7147/7437/7727 | 9.) 20t9 | 202 % 99 | * 8016/8306/8596/8885/9175 | 9465)9754|4044/0333|0623 | - 15.00 | 176 0913/1202}1492|1781|2071 | 2360/2649}2939|3228)3518 i OI 3807 4096 386 4675|4964 | 5253 5543 5832 6121\6410 | ! ae 586 5 02 6699/6988! 7278|7567|7856 | 8145|8434/8723|g01 2/9301 3 Be , oF 03 | * 9590/9879|¢168/0457/0745 | 1034)1323/1612!1g901|2190 56 Phe i 04 | 177 2478|2767|3056/3345/3633 | 392214211|4499|4788|5076 4 As wre? ra 05 5365|5654}5942|6231 6519 | 6808/7096]7385|7673/7961 | 6 1734 | 1740 7 | 06 | * 8250/8538)8826)9115}9403 | 969119980] 4268]0556/0844 7 | 2023 | 20307” 07 | 178 1133}1421|1709)1997/2285 | 2573|2861 3149|3437|3725 | 8 | 2312 | 2320. | 08 4013|4301|4589)4877/5165 | 5453)5741 6029|6317|6605 9 | 2601 2601 | 2610 | og 6892}7180|7468|7756/8043 | 8331 8619|8907|9194|9482 ‘% 1510 | * 9769|¢057/0345)0632/0920 | 1207/1495|1782|2070| 2357 i II | 179 2645)2932/3219|3507|3794 | 4082|4369|4656|4943/5231 | 1 { 287 | 288 — 12 5518/5805 |6092/6380/6667 | 6954/7241/7528|78 15/8102 | 2 574 576 13 * 8389/8676/8963)9250|9537 9824]¢111}0398|0685|0972 | 3 861 864 ci 14 | 180 1259)1546|1832)2119/2406 | 2693}2980|3266|3553|3840 : ee 1152 | 15 | 412614413} 4700) 4986/5273 | 5559)5846|6133)6419]6706 | La 6 278|7565)7851|8138 | 8424|8911|8 283]9570 pew: en Oe Met eed Bh 7 t992719209/9979 | 7 | 5009 | 2016Nmm 17} * 9856)¢142\0428/0715/1001 | 1287/1573] 1859|2145|2432 8 | 2296 | 2304 rai 18 | 181 2718)3004|3290|3576/3862 | 4148!4434|4720|5006|5292 2583 | oboail A 19 5578 |5864|6150/6435|6721 | 7007/7293|7579) 7864 Bide Loin mae 7? 1520 * 8436)872219007|9293\9579 9864|+150|0435}0721|1007 ¥ 21 | 182 1292)1578}1863)2149)2434 | 2720\3005 3290/3576/3861 | 285 286 22 4147|4432|4717|/5002|5288 | 5573/585816143 6429/6714 | 9 570 | 572 Wy 23 6999 7284/756917854|8140 | 8425/8710 8995|9280|9565 | 3 855 | 85800 24 | * 9890)¢135\0420]0704|0989 | 1274]1559]1844]2129|2414 41 1140 | 1144. 25 | 183 2698] 2983)3268)/3553/3837 | 4122|4407|4691|4976|526r | 5 | 1425 | 1430 26 5545)5830|6114|6399/6684 | 6968]7253/7537|820/8106 | 6 | 1710 | 1716 27 | # oe 8675|8959)9244/9528 | 9812]/¢096)0381|0665}o949 | 7 | 1995 | 2002 28 | 184 1234}1518}180212086)2370 | 2654 2939|3223|3507 3791 8 | 2280 2288 29 4075|4359/4643/4927|5211 | 5495)5779|6063/6347|6630 | 9 | 2565 | 2574— 15 30 6914/7198|7482|7766|8050 | 8333|8617|/8901|9185|9468 ; 31 %* 9752)¢036|0319}0603|0886 | 1170|1454 1737|2021|2304 83 84 32 | 185 2588)2871/3155|3438/3721 | 4o005|4288 4572|4855|5138 4 566 568 f 33 9422/5705)5988/6271/6555 | 6838}7121|7404}7687}7970 | 3 | 3 Seal 34 | * 8254/8537|8820\9103/9386 9669/9952)+235)/0518|o801 his ae 36m i 35 | 186 1084)1367|1650|1932|2215 | 2498}2781|3064]3347 3629 | 5 | 1415 1420 36 391 2|4195|4478/4760|5043 | 5326/5608|/5891/617416456 | 6 1698 | 17049) | 37 6739)7021|7304|7586|7869 | 8151|8434/8716 8999/9281 | 7 | 1981 | 1988 38 | * 9563/9846]4128/0410/0693 | 0975)1257|1540|1822|2104 | 8 | 2964 | 2272 39 | 187 2386] 2668]2951/3233/3515 4079' 4361|4643|4925 | 9 | 2547 | 2556 | Num 0 Ley 2 Oo 4 5:6 , 1 8a Diff. & Mult. Py LOGARITHMS OF NUMBERS 13} ————. ff Num. | a ES Sy, 1540 [18 5207/54 9/5 77160536835 | 6617/0899]7183 74037735 us Siow * 42 | 188 SAA 1125 8590|8872/9154 | 943519717\9999|¢280 ee be Dk ae Bae ee eh e091 97e | 22a g593|2010| 20908978 qs ean 7 6/5348]56 : ; ‘ 6473/67547035|731717598 | 7899181601844; ae ss Laie Nebr aks ; oO ie i 9289 9566) 9847|+128}0409 | 0690\0971}1252/1533|18 6 | 1686 aun Me reyes seta cine haat ea eens 1814 | 9 | 1967 | 1974 mas, 2% 1841546515945|6026 | 63071658716868l7148|7429 | & | 2248 326 71017990/8271/8551|8832 112/9393|96 ae 25 49 | 190 Ard 0705 9112|9393|9673/9953) +234 19 | 2929 | 2950 _ 2538 at 799|1075|1355}1636 | 1916)2196}2476|2757/3037 Ree ofslelee oceceless. see eelecaoe Rox ae 7816958|7238 | 7518|7798|807818357\8637 | 4 | 556 280 53 | 191 15 ee eel 977 soe 0316}0596]0876| 1155 1435 3 a 360 2 3113/33921|3 71} 840 54 4510|4790|5069|5348|5628 | 5907 6187 6466 6245 095 erly 120 : ; 7304|7583)7862|81 42/8421 | 8700 89791925919538|98 6 wea ae : 92 sry 0375|0654/0933|1212 | 1491|1770 Ke 3308 Shon Bis p om 2 2886|3165|3444|3723|4002 | 42811455 1838 : 2607 | 2 9 1960 ; 567515953|6232(651 16789 | 7068l734717625|7904 9396 2232 | 2240 9 | * 8461|8740|9018|9297|9575 | 985 Lewes Key 7625/7904|8183 |_9 | 291} 2511 | 2520 ‘5.60 | 193 1246 803 ae poked paki 2 1524|1803/2081|235 638 6 9 | 2 2916|31g94/3 GR ere ASA ese Sinead Di Seo8l5ocol6a5ales32 | | 277 | 2 7 G4 | O8inl aonradd gee | Sonate Ryinontagiia | 3) 234 | 5 nea 4239/0701 0979} 12 5 3 :: 194 ce os 2923/3200)3478 3256 cae be oh ye 1806 4 ae 83 143]5421|5698|5976|6253 | 6531/6808 5 | 1385 | 1390 Bis bscbeclonesckalroat oe. | Sons 958119858|ex36l04r3 | > | tesa 1068 68 1521/1798 | 2075|2353|2630|2907/3 1939 | 1946 60 Sot pee apr GR | Abdi i ta7)3d99 rel see ied dep at : 9|6506|6783|7060|7336 | 7613}7890|8167|8443 Balke ie Rake A 70 | * 8997/9273/9550|9826)¢103 | 03 0656 Ue | 7 ToslaBoalboneleaeals630 3144842) S099 3975 dady | 2 4525|4802/5078|5354/5630 | 5907/6183/645 ats 249 275 | 296 ie 728717563|7839/811518391 | 866718943|92 19194 aed ie oa ee | gcse | ean ta | 4] ne | 9 2806|3081|335713633)3 the 908 | 4184)4460|473 5 | 1375 | 1380 By], seoeuosigs | Sota lin || a 78 | 198 1070|1345) 1620] 1896 Z, 9694/9969|¢244|0520}0795 fd Mca ea 71 | 2446)2 8 | 2200 | 2208 aes 3821|4096|4371|4646|4921 | 5196 5491 596 on! Boob 9 | 247 2475 3484 ce) 6571|6846/7121)7395|76 8 7395|7670 | 7945|8220/8495|876 . as 91919 ay 9868|+143/0417 | 0692|0967 oa 516255 3 Be | 9p zea atone | Baby raiotoyeed ss || 305 | Si 8 2 181|6455)|6 48 3 & 7553|826|810018374|8648 | 8qaalgrg7igd7t las iat 3} 819] 822 | 86 200 ne YS 0841/1115}1389 | 1662/1936)2210/2484|2758 3 1365 ao 87 6s 6043 ay? 3853/4127 | 4401|4674|4948)5222 5496 6 | 1638 1644 86 | « oie oS : 317|6590\6864 | 7137/7411|7684}7958|8231 | 7 | 1911 | 1 18 89 | 2 778|9052|9325/9599 | 9872|+146)0419|06 8 ¢ 89 | 201 1239)1512]1786)205 el gant eck 2184 |, 2192 ; : 786)2059|2332 | 2605|2879|3152/3425/3698 | 9 | 2457 | 2466 Brae 79 004 | 5327155101883 6x58 a5 92 | * 943r AES 7248|7521|7794 | 8066/8339|8612|8885|9158 93 | 202 3158 273 9975)¢249)0522 | 0794|1067|1340| 1612 7885 I] 271 | 272 34 | 88315156 a4aBlS2ecl5en3 | 624516678 \Groclrobal334 aalibacs: bene ofits. 460 28/5700|5973 | 6245|6518]6790/7062|7335 3 | 813 | 816 | eres 7879)8151|8424)8696 | 8968|9240|9519|9785| 05 4 | 1084 | 1088 97 3040 oat ele 1145|1417 | 1689)1961/2233/2505}2 li 6 eae $8 568 ray mr 3865/4137 | 4409|4681|4952|/5224 5406 ae Se 99 | * 8485/8756 8 6583/6855 | 7126|7398|7670|7941/|8213 fs 2168 Lye 9028'929G19571 | 9842\¢114]0385]065710928 3 aie um. 0 1 9 9 | 24 Dee PAR? | 25D: 2448 ae a ae 9 Diff. & Mult. 5 '6 7 8 9 LOGARITHMS OF NUMBERS. 5) BS 8. 9 2557/2828) 3099|3371|3642 5269 7980 0690 3397 6103 8807 1510 421i 6g10 607 2303 4997 7690 0380 3070 5757 8443 1327 3810 6490 554115812 8251/8522 0960] 1231 3668/3939 6374|6644 9078/9348 6083/6354 8793|g064 1502]1773 4209/4480 6915|7185 9618/9889 1780} 2050|2320]2590 4481|4751|5021|5291 7180|7449|7719|7989 9877|+147|0416)0686 2573]2842|3112/3381 5267|5536|5805|6074 7959|8228|8497|8766 0649}0918}1187|1456 3338) 3607|3876) 4145 6026/6294/6563/6832 8711|8980)9248|9517 1395|1664|1932|2200 4078| 4346) 461 4! 4882 6758|7026/7294|7562 9170|9437!970519973 1847|2115|2382| 2650 4523) 4790|5058}5325 7197|7464|7732|7999 9870|+137|0404|0671 2541|2808] 3075) 3342 5210|5477|5744|/6010 7878/81 44|841 1/8678 +241 2918 } 5593 8266 0938 3609 6277 8944 0544 3208 5871 8532 IIQI 3849 6505 g160 1813 0810|1077/1343) 1610 3474|3741|4007|4273 6137|6403|6669)/6935 8798} 9064/9330) 9596 1457|1723|1989)2255 4115/4381) 4646|4912 6771|7037|7302|7568 9425|9691|9956| 4221 2078] 2343] 2609] 2874 Num. 0 1 4 43 4 1600 (204 ¥200|1471|1 7438/2014 2285 or 391314185) 4456! 4727|4998 02 6625|6895/7167|7438)7709 03 | * 9335}9606/9877|+148}0419 04 | 205 2044)2314|}2585}2856|3127 05 4750|5021|5292|5562|5833 o6 7455|7726|7996|8267|/8537 O7 206 0159/0429|0699|0969| 1 240 08 2860|3131|3401|3671|3941 09 5560/5830|6100|6370|/6640 1610 | * 8259)8529)8798/9068|9338 It | 207 0955|1225)1495|1764) 2034 12 3650]3920|4189) 4459)4728 13 6344|6613}6882|7151}7424 14} * 9035/9304/9573|9842|/¢111 15 | I8 1725|1994}2263] 2532) 2801 16 4414) 4082}4951/5220}5488 17 7100|7369|7637)/7906/8174 18 | * 9785|4054)/0322/05go0|0859 19 | 209 2468)2737)3005}3273}3541 16 20 §150|5418/5686)5954/6222 a1 * Sab a cae asl 22 | 210 0508/0776} 1044] 1312}1579 23 3185]3453|3720|3988)4255 24 5860|61 28/6395|666 2/6930 95 * 8534/8801|9068) 9335/9603 26 | 211 1205/1472]1740| 2007) 2274 27 3876/41 42|4409|4676| 4943 28 6544}6811|7078|7344| 7611 29 * 9211|9477|9744|¢011|0277 16 30 | 212 1876)2142/2409/ 2675] 2942 31 4540} 4806) 5072|5338|}5605 32 7202|7468|7734|8000/8 266 33 | * 9862]¢128/0394|0660 0926 34 | 213 2521/2786)3052/3318}3584 ~ 38 5178|5443|5709|5974|6240 36 | 7833)/8098/8364|8629/8895 37 | 214 0487/0752/1017/1 283] 1548 38 3139|3404|3669|3934| 4199 39 5790|6055/6319)/6584/6849 16 40 * 8438)/8703/8968|9233)9498 4t | 215 1086/1350] 1615! 1880)2144 42 3732|3996)4260) 4525/4789 43 6376|6640|6904/7169/7433 44 | * 9018)9282|9546\9811|4075 45 | 216 1659)1923}2187)2451}2715 46 4298] 4562| 48 26)5090/5354 47 6936|7200|7463|7727|7991 48 | * 9572/9836)+099|0363!0626 49 | 217 2207|2470|2733]2997|3260 16 5o 4839|5103|5366|5629/5892 51 7471|7734|7997|8260|8523 52 | 218 0100|0363|0626/0889} 1152 53 2729|2991|3254|3517|3779 54 5355|5618|5880|61 43/6405 55 | * 7980|8242|8505|8767|9030 56 | 219 0603|0866/1128!1390|1652 57 3225|3487|3749)401 1/4273 58 5845|6107|6369|663 1 |6893 59 | * 8464|8726/8987|9249|9511 Num 0 ] 2 3 4 4464|4730|4995|5260 7114|7379|7644/7909 9762|4027|0292/0556 2409| 2673] 2938|3203 5054|5318}5583)/5847 7697/7961 |8226|8490 0339|0603/0867) 1131 2979|3243|3507|3771 5617|5881|6145|6409 8254|/8518)/8781/9045 0890]1153|1416)1680 3523|3786|4050|4313 6155)6418|6682/6945 8786] 9049/1931 2/9575 1415|1677|1940] 2203 4042|4305|4567| 4830 6668|6930| 7193/7455 9292|9554|9816) +079 1914|2177|2439)2701 4535|4797|5059)|5321 7155|7417|7678|7940 9773|4+034|0296)0558 D6. 6. 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| 1265 5173/5426/5679)5932/6185 | 6438|6691|6944|7197|7450 | 6 | 1512 | 1518 7793|7956|8209|8462\8715 | 8967/9220|9473/9726|9979 | 7 | 1764 | 1771 | 235 0232|0484|0737|0990| 1243 1495|1748|2001/2253}2506 | 8 | 2016 | 2024 P_2759}3011]326413517|3769 | 4022/4274|4527|4779|5032 | 9 | 2268 | 2277 O° | 2) eas ie Oe 7 ee 9 Diff. & Mult. 250 1759|2004 0 a 235 5284/5537 * 7809/8061 236 0331\0584 2853/3105 5373/5625 * 7891/8143 237 0408|0660 2923/3175 5437|5689 * 7950/8201 238 0461/0712 2.971|3222 5479|9730 * 7986/8236 239 0491/0741 2995/3245 5497|5747 * 7998 8248 240 04980748 2996/3246 5492|5742 * 7988/8237 241 0482/0731 2974/3223 5465/5714 * 7954/8203 242 0442|0691 2929/3175 ae 5663 * 7898/8146 243 0380|0629 2861|3109 5341/5589 * 7819|8067 244 0296)0543 2771/3019 5245|5492 7718|7965 245 0189}0436 2658] 2905 5127|5373 7994|7840 246 0059|0306 2523/2769 4986}5232 7447/7693 * ggo7|4153 247 2365|2611 4823/5068 7278|7524 * 9733/9978 248 2186)2431 4637|4882 7087|7332 * 9536|9781 249 1984|2228 4430|4674 6874/7119 * 9318/9562 LOGARITHMS OF NUMBERS. 2 ae 24. 5789)6042/6294 8313/8566 8818 0836/1088)}1340 3357|360g9 3861 5876/61 28/6380 §394|8646 8898 ogr1|1163/1414 3426)3678) 3929 5940|6191/6443 8452|8703/8955 0963}1214/1465 3472|3723/3974 5980/6231 /6482 8487|8737|8988 0992)\1242)1493 3495|3746!3996 5998/6248 6498 8498/8748 8998 0997/1 247|1497 3495|3745|3995 5992|6241|6491 8487/8736)8985 0980) 1229/1479 3472|3721|3970 5963)/621 2/6461 8452/8701|8950 0940) 1189)1437 3426}3675/3923 5911|6160/6408 8395|8643|8891 0877/1125/1373 3357|3605|3853 5837|6085|6332 8315}8562|/8810 0791|1039)1286 3266)351 4/3761 5740|5987|6234 8212/8459|/8706 0683}0930]1177 3152)3399|3646 5620|5867/6114 8087/8333/8580 0552/0798) 1045 3016}3262/3508 5478/5724|5970 7939|8185)8431 0399|0645|0891 2857|3103|3349 5314|5559|5805 7769|8015|8260 +223/0469|0714 2676] 2921|3166 5127|5372|5617 7577|7822|8067 #026/0271|0515 2473|2718|2962 4919|5163/5408 7363|7607/7852 9806} +050/0294 Uy: | 2248] 2492/2736 JASE Fiat § 5B Be a 6547/6799|}7092|7304)7556 9070)9323)9575|9827| +079 1592|1844| 2097| 2349) 2601 4113|4365|4617/ 4869/5121 6632|6884|7136 7382 7639 9150|9401|9653|9905| +156 1666] 1917|2169|2420)|2672 4181/4432] 4683) 4935|5186 6694/6945)7196)7448}7699 9206|9457/9708|9959|+210 - 1716]1967|2218/2469| 2720 4225|4476|4727/4977|5228 6732|6983|7234|7484|7735 9238|9489|9739| 9990) #240 1743|1993|2244}2494|2744 4246|4496|4747|4997|5247 6748|6998|7248)7498|7748 9248)9498 974819998) +248 1747|1997|2247|24960) 2746 4244|4494|4744|4993|5243 6740|6990|7239|7489|7738 9235/9484)9734}9983) 4232 1728] 1977|2226|2476| 2725 4220}4469|4718|4967|5216 6710/6959|7208/7457/7705 199|9447 45|+194 7686 7935 ate 2735 S680 4172|4420|4669/4917|5 166 6656)6905/7153|}7401|7650 9139/9388) 9636)}9884) +132 1621/1869) 2117/2365) 2613 4101|4349)4597|4845!5093 6580/6828] 7076)7324/7571 9058/9305}9553)9801) +048 1534|1781 2029 2276/2524 4008} 4256) 4503!4750| 4998 648 2|672916976)7223|7470 8953|9200}9448)9695/9942 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19 Diff. & Mult. 228 454 456 681 684 g08 | 912 1135 | 1140 1362 | 1368 158 15 1816 asa 2043 | 2052 . 227 226 452 678 904 1130 1356 1582 1808 2034 225 450 675 goo 1125 1350 17) 1800 2025 295 446 669 892 1115 1338 1561 1784 2007 222 444 666 888 1110 1332 1554 221 442 663 884 1105 1326 1547 1768 | 1776 1989 | 1998 Diff. & Mult. 19 80 81 0 2 a es #4 292 2561/2982/3004|3225/3447 4776|4997|5219|5440)5662 6990|721117433|7654|7875 * 9203/9424/9645|9867| +088 293 1415|1636| 1857|2078|2299 3626/3847] 4068] 4289] 4510 5835|6056|6277|6498/6719 * 8044|8264|8485|8706|8927 294 0251/0472|0692|/0913)1134 2457| 2678) 2898}3119)3339 4662| 4883) 5103)/5324|5544 6866|7087|7307|752717748 % 9069|9289/9510|9730|9950 295 1271/1491 {1711/1931 |2151 3471|3691}391114131|435r 5671|5891|6111/6331/6550 7869|8089|830g/8529|8748 296 0067|0286]0506|0726|0945 2.263) 2482|2702|2922|31 41 4458] 4677|4897|51 16/5336 665 2|6871|7091|7310/7529 * 8845|9064/9283]9502|9722 297 1037/1256) 1475) 1694]1913 3227/3446|3665|3884|4103 5417|5636/5854|6073/6292 7605|7824|8043)/8 261 |8480 * 9792/01 1|0230/0448}0667 298 1979|2197|2416|2634|2853 4164) 4382|4601|4819|5038 6348|6566|6785 ar 7221 * 8531/8749|8967/9185|9404 299 0713|0931|1149|1367|1585 2893/3111|3329|3547|3765 5073)5291|5509|5727/5945 7252|7469|7687|7905|81 23 * 9429\9647|9864|+082|0300 300 1605] 1823)2041|2258}2476 378 1/3998|4216| 4433/4650 5955/6172|6390|6607|6824 * 8128/8345|8562|8780|8997 301 0300)0517/0734}0951|1 168 2471|2688}2905/31 22/3339 4641|4858|5075|5291|5508 6809}7026]7243)7460)7677 #* 8977/9194|9411|9627/9844 302 1144|1360]1577/1794}2010 3309|3526|3742|3959|4175 5474|56g0)5906|61 23/6339 7637|7853|8070|8286/8502 * 9799|*016|/0232|0448|0664 303 1961|2177|2393} 2609/2825 4121|4337|4553)4769| 4984 6280|6496|6711|6927|7143 * 8438|8653)8869)\9085|93or 304 0595)08 10} 1026}1242|1457 2751|2966)|3182/3397|3613 4905}5121|5336 5b 5767 7059|7274|7490|7705|7920 * 9212/9427/9642/9857| 4072 305 1363|1578/1793|2008) 2224 ati | 2439] 2654) 2869/3084|3299 ae vid) 4 LOGARITHMS OF NUMBERS. 5-6 aad a8 329 3668}3590|/4t1114333|4554 5883|/6105|6326|6547|6769 8097/83 18)8539|8760|898 2 0309|0530|075 1/0973) 1194 2520|2741|2962|3183)3405 4730) 4951|5172|5393/5614 6940|7160|7381|7602)7823 9147/9368 |9589|9810]¢030 1354}1575|1795|2016) 2237 3560/3780] 4001|4221|4442 5764/5985|6205|6426|6646 7968/8 188|8408|8629|8849 #170/0390|0610|0831| 1051 2371|2591/2811/3031/3251 4571|4791|5011|5231/5451 6770|6990/7210)7430|7650 8968/9188|9408) 9627/9847 1165/1385) 1604} 1824|2043 3361/3580] 3800] 4019] 4238 5555|5774|5994|6213|6433 7748|7968|8 1 87|8406|8626 9941|+160|0379)0598) 0817 2132/2351|2570|2789| 3008 4322|4541|4760|4979|5198 6511|6730)6949}7168)7386 8699)/8918|9136)9355|9574 0886]1104/1323]1542]1760 3071|3290]3508] 3727/3945 5256|5474|5693|591 1/6129 7439|7658|7876|8094/8313 9622|9840|+058|0276/0494 1803/2021} 2239/2457] 2675 3983) 4201|4419|4637|4855 6162/6380|6598/68 16|7034 8340|8558/8776|8994/9211 0517/0735|0953] 1170} 1388 2693] 291 1|3128/3346|3563 4868/5085 |5303/5520|5737. 7042|7259|7476|7693/791 1 9214|9431|9648}9866| +083 1386] 1603/1820) 2037/2254 3556|3773|3990|4207|4424 5725/5942|6159|6376|6593 7893|81 10|8327/8544/8760 #061/0277/0494/071 1/0927 2227|2443) 2660} 2876] 3093 4392|4608) 4825/5041 baby 6556 6772/6988) 7204/7421 8718|8935|9151/9367|9583 0880]1096}1312)1528}1745 3041|3257|3473|3689| 3905 5200|5416|5632|5848|6064 7359|7575|7790|8006) 8222 9516}9732/9948] #163037 1673) 1888} 21042319 3338 3828) 4043|4259|4474| 4690 5982/6198|6413/6628|6844 8135/8351 /8566|8781|8996 0288)0503|0718)0933}1148 4 ee ey a | Diff. & Mult. j 221 222 5} 442 444. | 663 666 884} 888 1105 | 1110 | 1326 | 1332 1547 | 1554) 1768 | 1776 | 1989 | 1998) | OO OY OOW wn 21 438 657 876 1095 1314 1533 1752 197 Oo OY Dor wb 4 218 am 436 872 — T0go 1308 15269 I 217 2} 434 3 651 4 868 5 | 1085 6 | 1302 7 | 1519 8 | 1736 1744 9 | 1953 | 1962 is ie AY 4 wer: 215 | 2100Rm 430 432 — 645 | 648 | 860 | 864 | 1075 | 1080 I2 12 | 1Bo5 ee 4 1720 | 1728 1935 | 1944 | Diff. & Mult. | = —s OO OI AAW wp LOGARITHMS OF NUMBERS. 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SO OI AAW Wd co KR © 139 278 417 556 695 834 973 1112 I 2 3 4 5 6 7 8 9 | 1251 138 276 414 552 690 828 966 1104 1242 OO COA OOH why D co nr Diff. & Mult. 1 40 Num. 3160 61 62 63 64 65 66 31 31 31 90 Ord 8245|8382 LOGARITHMS OF NUMBERS. eae (4 499 6871)7008)7146)7283)7421 8520|8657|8794 * 9619\9756.9893!¢031|0168 500 0992|1129|12607| 1404) 1541 5or 5o2 * 2365) 2502 3737|3874 5109|5246 6481/6618 7852|7989 2639] 2777|2914 4012|4149|4286 5383/5521|5658 6755|6892|7029 8126|}8263/8400 9222/9359|9496 0593|0730}0867 1962/2099] 2236 33323469] 3606 4701|4838| 4974 6069|6206/6343 7437/75 74/7711 8805|8942/9078 0172|/0309|0446 1539] 1676) 1812 2909|3042/3178 4271|4408)4544 5637|5773/5910 7002|7138|7275 8366/8503/8639 9731|9867|+003 9634/9771 1O04| 1141 2373}2510 3743/3879 511115248 6480/6617 7848|7984 9215/9352 0582/0719 1949|2086 3315|3452 4681}4817 6046/6183 7411|7548 8776/8912 0140/0276 503 1094}1231/1367|1503}1640 2.458] 2594 3821/3957 5183/5319 6545)|668 1 7907|8043 * 9268)9404 504 0629/0765 1989/2125 3349|3485 2730) 2867|3003 on 4229|4366 5456)5592|5728 6818)6954/7090 8179)8315|8451 9540] 9676|98 12 0901}1037|1173 2261| 2397/2533 3621}3757|3893 oy (Otel BS. ee 7558/7695; 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LOGARITHMS OF NUMBERS. Ir | * 9592/9723 12 | 520 0903|1034 i3 2214)/2345 14 3525/3656 15 4835] 4966 16 6145|6276 vy 7455|7586 18 8764/8895 19 | 521 0073|0203 33 20 1381|1512 21 2689/2820 22 3996/41 27 23 5323 5434 24 6610/6741 an 7916/8047 26 | * 9222/9353 27 | 522 0528/0659 28 1833)1964 29 3138/3268 33 30 4442|4573 31 5746|5877 32 7050|7180 33 8353)8483 34 | * 9656/9786 35 | 523 0958) 1089 36 2260)2391 a7 3562|3692 38 4863) 4993 39 6164/6294 0 #T Num 0 1 2 3 4 3280 | 515 8738|8871|Q003|9136\9268 8r | 516 0062}0195|0327|045g|0592 82 1386)1518) 1650) 1783) 1915 83 2709 2841|2973|3106|3238 84 403114164) 4296| 4428) 4560 85 5354|5486|5618/5750|5883 86 6676/6808/6940}7072|7204 87 7997/81 29/8261 8393/8526 88 | * 9318)9450|9582|971 4/9846 89 | 517 0639|0771|0903|1035) 1167 32 90 1959|2091|2223/2355/2487 91 3279341 1}3543]3675 3807 92 4598} 4730] 4862|4994/5126 93 5917|/6049/6181 |6313 6445 94 7236|7368|7500|7631/7763 95 8554|8686|88 18}8950|9081 96 | * 9872|¢004/0136|0267/0399 97 | 518 1189}1321]1453}1585 1716 98 2507| 2638) 2770| 29023033 99 3823|3955|4086)| 4218/4350 33 00 §139|5271|5403/5534|5666 Ol 6455|6587|6718/6850/6981 02 7771|7902|8034|8165)8297 03 | * 9086)9217/9349|9480|9612 04 | 519 0400|0532]0663}0795)0926 05 1715|1846|1977|2109| 2240 06 3028|3160|3291|3423|3554 07 4342|4473| 4605| 4736) 4867 08 5655|5786|5918|6049|6180 09 6968|7099|7230|7361|7493 33 10 8280|841 118542|8674/8805 9854|9985| +116 1166|1297|1428 2477|2608| 2739 3787|3918]4049 5097/5228/5359 6407|6538/6669 7717|7847|7978 9026|91 56/9287 0334}0465}0596 1642|1773]1904 2950|3081|3212 4258|4388| 4519 5565|5695/5826 6871|7002|7133 8178/8308/8439 9484)961 419745 0789]0920| 1050 2094|2225)2355 3399|3529|3660 4703) 4834) 4964 6007/61 37/6268 7311|7441|7571 8614|8744)8874 9916|¢047|0177 1219|1349}147 bn? 2657 ars 3822|3952|4083 5124/5254|5384 6424|6554|6684 2 3 4 5. OT a8 £9 400|9533|9665)9798|9930 ou 3856 89 ce, 1253 2047} 2180]231 2|2444|2577 3370]3502|3635|3767| 3899 4693|4825|4957|5089|5222 6015|6147/6279/641 1/6543 7336|7469|7601|7733|7865 8658|8790|8922|9054| 9186 9978|#111/0243|0375}0507 1299|1431|1563)1695| 1827 2619}2751|2883}3015}3147 3939}4071|4202 4334| 4466 5258}5390/5522/5654|5785 6577|6709|6840\6972!7 104 7895|8027/8159|8291|8422 9213|9345|9477|9608!9740 0531|0663}0794|0926) 1058 1848] 1980]2111/2243|2375 3165|3297/3428|3560/3692 4481|4613|4745| 4876/5008 5797|5929|6061 |6192/6324 7113/7245|7376| 7508) 7639 8428|8560|8691|8823/8954 9743\9875|+006)0137|0269 1058}118g9|1320)1452|1583 2372) 2503/2634] 2766) 2897 3685]381 7/3948] 4079/4211 4999|5130}5261|5392/5524 631 1|6443|6574|6705|6836 7624\7755|7886/801 8/8149 8936|9067|9198/9329|9461 0248|0379|0516|0641|0772 1559|1690 2870/3001 4180| 4311 1821/1952|2083 3132/3263|3394 4442|4573\4704 5490|5621|5752|5883|6014 6800|6931|7062|7193|7324 8109|8240/8371|8502|8633 9418}9549|9680)| 981 119942 0727|0858)0988)1119}1250 2035)/2166/2296/2427| 2558 3343)3473|3604|3735| 3866 4650)}478 11491 1|5042|5173 5957/6088)/6218/6349|6479 7263/7394|7525 “658 7786 8570|8700|8831|8961|g092 9875| 4006/01 36/0267|0397 1181|1311|1442|1572/1703 2486) 2616)2747)|2877|3007 3790)3921|4051/4181|4312 5094|5225|5355)5486/5616 6398/65 29|6659|6789|6920 7702|7832)/7962|8093/8223 g005|9135}9265)9395/9526 0307|0437|0568}0698|0828 1609|1740|1870|2000| 2130 291 1|3041/3172/3302|3432 4213|4343|4473| 4603|4733 5514|5644|5774| 5904/6034 6814}6945}7075|7205|}7335 Di 6 7 eB e Diff. w _ Diff. Diff. & Mult, le Cr Anh whw = WO OY ANWR whr ~] Ne) N © OY AOR ww Diff. & Mult. | LOGARITHMS OF NUMBERS. O71 822.1 3° 4 523 7465|7595\7725)7855/7985 8765|8895|9025/91 55/9285, 524 0064|0194|0324|0454}0584 1364|1494|1624|1753) 1883 2663] 2793] 2922|3052/3182 3961|4091|4221/4351|4481 5259|5389/5519|5649|5779 6557|6687/68 17/6946) 7076 7854|7984|81 1 4|/8 2448373 * 9151|9281/9411|9540|9670 525 0448|0578/0707|0837|0967 1744|1874|2003) 2133}2263 3040|3170]3299|3429|3558 4336] 4465}4595|4724)4854 5631|5760|5890|6019/6148 6925|7055|7184|7314|7443 8220/8349|8478|8608/8737 * 9513/9643|9772|9902|¢031 526 0807/0936) 1066] 1195)1324 2100}2229| 2359] 2488/2617 3393}3522|3651}3781|3g10 4685} 48 14|4944|5073|5202 5977|6106|6235|6365|6494 7269|7398|7527|7656|7785 8560|8689)88 18)/8947|9076 * 9851|9980/+109/0238|0367 527 oa gah fang 1528|1657 2431|2560| 2689) 2818) 2947 3721|3850|3979) 4108) 4237 5010]5139/5268)5397|5526 6299|6428|6557/6686)/68 14 7588)|7716|7845|7974|8103 * 8876/9004|9133|9262|9391 528 0163/0292|0421/0550|0678 1451|1579) 1708] 1837] 1966 2738} 2866] 2995)3124|3252 4024) 4153|4282|4410|453 531 1|5439|5568/5696 5898 6596/6725|6854/6982|7111 7882|8010|8139|8267/8396 * 9167/9295|9424|9552|9681 529 0452|0580|0709) 0837/0965 1736} 1864) 1993} 2121 2250 3020]31 48|3277)3405|3533 4304) 4432|4560|4689| 4817 5587|5715|5843|5972|6100 6870|6998}71 26/7254) 7383 8152/8280/8408|8537)/8665 * 9434|9562|9690/9819|9947 530 0716}0844}0972| 1 100|1228 1997|21 25} 2253) 2381/2509 3278} 3406) 3534] 3662/3790 4558) 4686) 48 1 4|4943\5071 5839|5967|6095/6223 6351 7118|7246|7374|7502|7630 8398)8526|8654|878 2|8g09 * 9677|9805|9933) 4060/0188 531 0955} 1083|1211|1339) 1467 2234|2362|2489 2617\2745 351 213639) 3767|389514023 Of JL 2a ae Doe Th Sa 8115|8245)/8375)8505) 8635 941519545|9675| 9805/9935 0714|0844|0974| 1104] 1234 2013|2143|2273| 2403} 2533 3312|3442|3572|3702/3831 4610|4740|4870|5000|51 30 5908|6038/6168/6298/6427 7206|7336|7465|7595|7725 8503|8633/8762|8892|9022 9800|9929| #059) 0189/0318 1096/1226] 1355| 1485) 1615 2392)|2522/2651/2781| 2911 3688/38 17|3947|4076/4206 4983/51 13|5242/5372|55o1 6278|6407|/6537|6666|6796 7572|7702|7831|7961 |80g90 8867/8996] 91 25]9255|9384 0160|0290/0419|0548|0678 1454|1583|1712|1841}1971 2746} 2876|3005|3134|3264 4039|4168)4297|4427|4556 5331|5460|5590|5719|5848 6623/6752|6881/7010|7140 7914|8043/8173|8302|843 1 9205|9334|9463)9593|9722 0496|0625)0754}0883) 1012 1786] 1915] 2044] 2173] 2302 3076|3205|3334|3463/3592 4366) 4494) 4623)4752|4881 5655|5783)5g1 2/6041 |6170 6943|7072|7201/7330|7459 8235|8360|8489)/8618/8747 9520|9648/9777|9906| +035 0807|0936|1065| 1193|1322 2094|2223|2352| 2480) 2609 3381|3510|3638| 3767/3896 4668/4796|4925 5053/5182 5954|608 2/621 163396468 7239) 7368|7496|7625|7753 8525|8653/8782|8910|903g 9809|9938| +066) 01950323 1094] 1222/1351/1479|1608 2378) 2506] 2635| 2763) 2892 3662|3790]3919/4047|4175 4945|5074|5202|5330/5458 6228|6356/6485|661 3/6741 7511|7639|7767|7896|8024 8793|8921|9049|9178|9306 #075}0203}0331}0459|0588 1356) 1485) 1613/1741) 1869 9637| 2766) 2894| 3022/3150 3918) 4046) 4174 4302|4430 5199|5327|5455 5583/5711 6479|6607|6734|6862/6990 7758|7886|801 4/81 42/8270 9037|9165|9293|942119549 0316|0444|0572|0700|0828 1595|1722| 18501978] 2106 2873) 3001/31 28|3256) 3384 4150|4278|4406| 4534) 4661 Bags 374°8) 9 Diff. 130 _ bo be) 128 Diff. 43 Diff. & Mult. OO OUI NOTH wh = ~] co ° 129 258 387 516 645 774 903 1032 1161 le CY AOR wh - ¥ Cr Hah wn - 127 254 381 508 635 762 889 1016 1143 Diff. & Mult. ODI OOH wr O44 531 4789 4917 606616194 7343/7471 8619'8747 * 9896/4023 532 1171/1299 2446) 2574 3721/3849 4996|5123 627016397 7944)7671 8817/8945 533 0090]0218 1363/1490 2635/2762 3907/4034 5179}5306 6450/6577} 7721|7848 * 8991/9118 534 0261/0388 1531/1658 2800] 2927 LOGARITHMS OF NUMBERS. 2 3 4 5045 5172)5300 6322|6449/6577 7598|77 26/7854 8875|g002|9130 0151/0278|0406 1426|1554|1681 2701|2829/2956 3976)4104|4231 5251|5378|5506 6525|6652/6780 7799|7926|8053 9072/9199/9326 0345|0472|0599 1617|1745|1872 28g0|3017/3144 4161|4289|4416 5433)|5560|5687 6704|6831)/6958 | 7975|8102|8229 9245|9372|9499 0515|0642|0769 1785)191 2|2039 3054|3181|3308 4069 5338 6606 7874 * QI4I 535 0408 1675 41964323 5464|5591 6733/6859 8000/8127 9268|9394 0535/0662 1802|1928 4450|4576 5718/5845 6986/7113 8254|8381 9521/9648 0788]0915 20595|2181 2941|3068 4207|4334 5473/5599 673816865 8003/8129 * 926719394 536 2534 5628 1795/1922 3059)3185 432214448 5584|5711 6847/6973 8109|8 235 * 9370\9496 537 0631 2988 1892/2018 3153}3279 4413/4539 5673|5799 6932 7086 8191/8317 * 94509575) 538 0708/0834 1906 2092 3223)3349) 4481|4606 5737/5863 6994)71 19 8250,837 3194|3321|3448 4460|4587)4713 5726)5852|5979 are 97118)7244 8 256/838 2/8509 9520)9647|9773 0784|0911|1037 2048|2174|2301 331£1|3438}3564 4574|4701|4827 5837|5963/6089 7099|7225|7352 8361|8487|8613 9622|9749|9875 0884) ror0| 1136 2144}2270|23 3405 353113657 4665 4791/4917 5924 6050|61 76 7184 :7310}7436 8443 8569/8694 9701 9827/9953 0959 1085} 1211 2217/2343 2469 3475 3601|3726 4732 4858)4983 5989 6114/6240 7249 7371/7496 8501 8627/8752 * 95069631 A 9757 9882|+008 oie 4 Be G 26y “aes. ae 5428/5556) 5683) 581 1)593 6705|6832|6960}|7088/ 721 7981|8109/8237|8364/8492 9258/9385) 9513/9640] 9768 0533|0661|0789|0916] 1044 1809] 1936|2064}2191|2319 3084) 321 1}3339}3466) 3594 4359|4486|4614|4741|4868 5633|5760/5888|6015)6143 6907|7034}7162/7289/7416 8181/8308}8435|8563/8690 9454|958 1|9708} 9836/9963 0727|0854/0981| 1 108} 1236 1.999|2126|2254) 2381/2508 3271|3398|3526}3653|3780 4543)4670|4797|4924|5051 58 14|5941 |6068|6196/6323 7085}721 2|7339)7466|7594 8356|8483|8610/8737|8864 9626/9753/9880) ¢007/0134 0896] 1023}1150}1277|1404 2165} 2292|2419]2546| 2673 3435|3561 |3688)3815|3942 4703|4830|4957|5084|5211 5972|6099|6225|6352)/6479 7240|7366|7493)7620/7747 8507|8634|8761 |8888| 9014 9775/9901 |#028|0155|0281 1042|1168]1295}1422|1548 2308] 2435|2561|2688)2815 3574|3701|3827/3954| 4081 4840|4967|5093|5220/5346 6105/6232|5359|6485/661 2 7371|7497|7623}7750|7876 8635/8762|8888)9015|9141 9900] +026/0152|0279|0405 1163}1290/1416)1543] 1669 2427) 2553) 2680/2806] 2932 3690}3817|3943| 4069/4195 4953}5079|5206|5332|5458 6216)6342|6468|6594|6721 7478} 7604|7730|7856|7982 8739|8866|8992|91 18/9244 #001|0127|0253|0379|0505 1262/1388} 1514] 1640/1766 2523|2649)2775]2901|3027 3783}3909|4035| 4161/4287 5043|5169|5295|5421/5547 6302|6428|}6554/6680/6806 7561|7687/7813!7939|8065 88 20/8946|9072|9198|9324 4079|0205|0330|0456|0582 1337|1463/158811714) 1840 2595/2720) 2846)2972 3098 3852/3978) 4103|4229 4355 5109}5235)5360/5486 5612 6366/6491 |661 7/6743 6868 762217747 |7873)7999 8124 8878] 9003 9129|9255|9380 0133/0259 0384,0510,0635 of 6 oS 58 gs Diff. Diff. le CON ODO Gh Diff. & Mult, 128 | 256 384 512 640 768 Ss CO~ I Anh wr et Oo COI MOK Wh -» Or i] LOGARITHMS OF NUMBERS. 2 3 4 539 0761/0887|1012|1138)1263 2016/2141 3271/3396 4525| 4650 5779|5904 7032|7158 8956/8411 * 9538/9664 540 0791/0916 2043/2168 3295|3420 4546) 4671 5797|5922 7048|7173 8298|8423 * 9548|9673 541 0798 ste 2047|2172 3296|3421 4544) 4669 5792/5917 7040/7165 8288/8412 * 9535)/965 542 0781 ee 2028/2152 3274/3398 4519/4644 5768 5889 7010|7134 8254/8379 * 9498) 9623 543 0742|0867 1986|21 10 3229)3353 4472|45 5714 pees 6956) 7081 8198/8322 * 9439 9564 544 0680/0805 1921|2045| 3161/3285 4401|4525 5641/5765 6880/7004 8119/8243 * =9358\9481 545 0596|0720 1834|1957 3071/3195)3319 4308) 4432|4556 5545)\566 6781 6908 702 8018/8141 $565 2267} 2392) 2518 3522) 3647/3772 4776|4901|5027 6030|6155|6280 7283)|7408|7534 8536|8661/8787 9789/9914) #039 1041|1167|1292 2293) 2419) 2544 3545|3670)3795 4796|4921)/5047 6047 6172|8297 7298) 7423|7548 8548|8673/8798 9798|9923| +048 1048]1172|1297 2297|2422/2546 3546|3670|3795 4794|4919|5044 6042/6167|6292 7290|7415)7539 8537|8662|8787 9784\9909|¢033 1031/1155/1280 2277|2402/2526 3523|3648|3772 4769|4893|5018 601 4|61 38/6263 7259)7383|7508 8503/8628/8752 9747|9872|9996 0991|1115/1240 2235|235g9] 2483 3478 | 3602|3726 4720|4845|4 5963/6087 ae 7205|7329|7453 8446|8571|8695 9688 |981 2/9936 0929|1053|1177 2169) 2293/2417 3409|3533|3657 4649) 4773) 4897 5889|601 3/6137 7128|}7252/7376 8367|/8491|8615 9605 9729/9853 0843|0967| 1091 2081/2205) 2329 3442|3566 4679|4803 5916/6040 715217276 8388/8512 5792 * 9253 9377 9500,9624/9747 546 0489 0612/0736 0859|0983 1724/1847 1971/2094 2218 2958 | 3082/3205 (3329)3452 4193 4316 4439 4563! 4686 oie | 2 3 4 5 6 1389|1514 2643) 276 3898 4023 5152/5279 6406/6531. 7659|7784 8912/9037 0165|02g0 1417|1542 2669|2794 3920| 4046 §172|5297 6423/6548 7673/7798 8923/9048 0173/0298 1422|1547 2671/2796 3920) 4045 5168/5293 6416|6541 7664/7789 8911/9036, 0158/0283 1405|1529 2651/2775 3897/4021 5142/5267 6387|6512 7632/7756 8876| 9001 4120/0245 1364} 1488 2607/2732 3850|3975 5093/5217 6335/6460 7977/7701 8819/8943 060|0184 1301/1425 25412665 3781|3905 5021|5145 6261/6385 7500|7624 8738/8862 9977|#I01 1215/1339 2452/2576 3690|3813 4927|5050 6163/6287 7400/7523 8635/8759 987119995 1106/1230 2341/2465 Yes Bed 1640|1765|1891 2894/3020|3145 4149|4274|4400 5403|5528/5653 6656|678 2/6907 7910|8035/8160 9163/9288|9413 0415|0540|0666 1667|1793|1918 2919|3044|3170 4171|4296|4421 5422|5547|5672 6673/6798 |6923 7923|8048|8173 9173|9298|9423 0423|0548|0673 1672|1797|1922 2921|3046|3171 4170}4295|4419 5418/5543|5668 6666/6791 6915 7913|8038|8163 9161 |9285/9410 0407|0532|0657 1654|1779|1903 2900}3025|3149 41 46|4270|4395 5391/5516/5640 6636/6761 |6885 7881|8005/8130 91 25]9250/9374 0369/0494|0618 1613|1737|1862 2856}2980|3105 4099|4223|4348 5342|5466|55g0 6584|6708)|6832 7826|7950|8074 9067\9191/9315 0308|0432)0556 1549|1673)1797 2789) 2913|3037 4029|4153|4277 5269|5393|5517 6508|6632|6756 7747|7871|7995 8986/91 10/9234 0224/0348|0472 1462|1586|1710 2700) 2824/2947 3937} 406114185 5174|5298|5421 6411|6534|6658 7647|7770|7894 8883)|9006|9130 #118)0242|0365 1353|1477|1600 2588)2711/2835 3576) 36 4810/4933 5 6 99) 3822/3946) 4069 5056 5180/5303 Lanes 9 Diff. 125 124 Diff. ie Cn Amd wnr 45 Diff. & Mult. 126 252 378 5o4 630 756 882 1008 1134 OO OW AOR wWD 125 250 375 500 625 750 875 1000 1125 124 248 372 496 620 744 868 992 1116 Aad cwuby » © Or] 479 246 369 492 615 738 861 984 1107 OO OI AOADRwn ww Diff. & Mult. beet La AG LOGARITHMS OF NUMBERS. OO a Num. Dien ah. 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I2I 120 Diff. peers. pi ieeda potest: dacovasil re CO AOd wp w» 47 Dit. & Mult. 122 244 366 488 610 932 854 976 1098 121 242 363 484 605 726 847 968 1089 120 240 360 480 600 720 840 960 1080 I II 2 338 3 baie 4| 476 5 | 595 6] 714 | tng 8 952 9 | 1071 Diff. & Mult. 0 LOGARITHMS OF NUMBERS. a 3. 4 561 1014|1133)1252/1372\1491 2207|2326/ 2445) 2565) 2684 3399|3519|3638|3757|3876 4592|4711|4830|4949|5069 5784|5903)/6022|61 41/6260 6975|7094]7214|7333}7452 8286|8405|8524|8643 9477|9596|9715|9834 0667/0786|0g05| 1024 1858} 1977} 2096) 2215 3048) 3167/3286}3405 8167 * 9358 562 0548 1739 2929 4118 5308 6497 7685 8874 563 0062 1250 2437 3624 4811 5997 7183 8369 4237|4356|4475 5427|5546|5664 6616|/6734|6853 7804)7923|8042 8993|9111|9230 0181|0299,0418 1368}1487 2556}2674 3743|3861 4930|5048 6116/6235 7302|7421 8488/8606 4594 5783 6972 8161 934 0537 1606/1725 2793|2912 3980) 4099 5167/5285 6353/6472 7539|7658 8725/8843 * 9555/9673/9792|9910|#029 564 0740|0858|0977|1095| 1214 1925} 2043} 2162/2280] 2398 3109 4293 5477 6661 7844 * 9027 565 0209 1392 2573 3955 4936 6117 7298 8478 * 9658 566 0838 2017 3196 3228)3346 4412|4530 5595/5714 6779/6897 7962/8080 9145/9263 0328/0446 1510/1628 2692/2810 3873)3991 5054|5173 6235/6353 7416|7534 8596|8714 9776|9894 0956) 1074 2135|2253 3314|3432 3464) 3583 4648) 4767 5832)5951 7016/7134 8199)8317 9382|9500 0564}068 2 1746|1864 2928)3046 4109|4228 5291|5409 64716590 7652|7770 8832/8950 4012/0130 1192/1310 2371/2489 3550/3668 437514493) 461 1|4728|4846 5553/5671|5789/5907/6025 6731|6849|6967|7085|7203 GOO * 9087 567 0264 1440 2617 3793 4969 6144|6262|6379|6497 7320|7437|7555|7672 8495|861 2|8729|8847|8 8027/8145 9204/9322 038404 1558\1626 2735) 2852 3911/4028 5086) 5204 8262/8380 9440)9557 ° 0617 1793 2970 4146 5329 0734 IQII 3087 4263 5439 6615 7790 * 9669/9787|9904|+021/0139 568 0843/0961| 1078) 1196! 1313 0 1. 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LOGARITHMS OF NUMBERS. ON o> See 575 1878|1994|2109 * 3033 ah 3264 4188}4303)4419 5342|545815573 6496)661 2/6727 7650|7765|788 1 8803/8918}9034 9956) 4071/0187 576 1109}1224/1339 2261|2377|2492 3414)3529|3644 3.4 2225)2340 3380|3495 4534|4650 5688/5804 6842/6958 7990/8111 91499264 0302/0417 1455|1570 2607|2722 3759/3874 4565} 4680) 4796) 491 1|5026 §717|5832|5947|6062/6177 6868)}6983}7098) 7213/7328 8019/8134 §249\8364|8479 * 9170/9285 577 0320|0435 1470}1585 2620/2734 9400|9515|9630 0550}0665!0780 1700| 1815/1930 2849|2964 3079 D:D are ae 2456} 2571|2687)|2802/2918 361 1|3726}3842|3957| 4072 4765} 488 1|4996|5111/5227 5919|6035|6150|6265|6381 7073|7188|7304/7419|7534 8227/8342|8457|8573|8688 9380|9495|9610}9726|9841 0533|0648)0763|0878|0994 1685} 1800]1916|2031|2146 2837| 2953/3068 3183) 3298 3989|4105|4220)4335|4450 5141|5256)5371|5487| 5602 6292|6408|6523|6638/6753 7444|7559|7674|7789) 7904 8594|8709|8824/8939/9055 9745|9860/9975)|+090|0205 0895| ror0}1125)1240)1355 2045|2160)2275}2390}2505 3194|3309|3424| 3539) 3654 * 3769) 3884) 3999 4918|5033/5148 6067)6182/6296 7215|7330|7445 8363)8478/8593 9511}9626)9741 578 0659|0774)0888 e 579 0973 1806] 1921/2036 2953|3068|3182 4100|4214|4329 4114|4229 526315378 6411|6526 7560/7675 8708/8823 9896 9970 1003)1118 2150/2265 3297|3412 4444|4558 5246|5361|5475|55g90)5705 6392/6507/662 1/6736/6850 7538) 765 2|7767|7882)7996 8683!5798|8912|/9027|9141 9828}9943|¢057|0172/0286 1088] 1202|1317|1431 2118) 2232/2347) 2461/2576 4343} 4458 5492/5607 6641|6756 7789|7904 8937/9052 #085|0200 1233)1347 2380)2494 3526|3641 4673|4788 5819/5934 6965/7080 8111/8225 9256}9370 0401|0515 1546) 1660 2690} 2804 4573)|4688)| 4803 5722|5837|5952 6871|6986)7100 8019)8134/8249 9167|9282|9397 0315}0429|0544 2609] 2724}28 4902|5017|5135 6048/6163/6278 7194|7309}7423 8340|8454|8569 9485)9599|9714 0630}0744|0859 1774| 1889] 2003 2919|3033|31 48 1462|1577 oe 8: 3756] 3870|3985, 3262/3376 4406) 4520 5550|5664 6693/6807 7836|7950 * 8979\9093 580 0121/0235 1263]1377 2405|2519 3547|3661 4688) 4802 5829|5943 6969/7083 8110/8224 * 9250/9364 581 0389)0503 1529/1643 2668)|2782 3807/3921 349136053720 4635|4749|4863 5778|5893|6007 6922/7036/7150 8065/8179|8293 9207/9321|9436 0350|0464|0578 1492|1606!1720 2633) 2748} 2862 3775)388g) 4003 4916|5030)5144 6057/6171/6285 7197/731 217426 8338/8452|8566 9478|9592|9706 0617\0731|0845 1757|1871}1985 2896|3010)3124 4035] 4148} 4262 4945|5059)5173 5289 5401 6084/6197 7222/7335 8359|8473/8587|8700 6311}6425/6539 7449 7563/7677 8814 * 94971961019724 983819951 0 | 2 3 4 3834|3948|4063)41 77/4292 4978|5092|5207|5321|5435 6121/6236/6350|6464/6579 7264|7379|7493|7607|7722 8407/|8522|8636/8750|8864 9550|9664]9778|9893| +007 0692/0806)0921|1035|1149 1834] 1948) 2063/2177|2291 2976|3090|3204}33 18/3432 4117|4231|4346| 4460/4574 5258/5372|5487|5601|5715 6399|6513/6627|674 1/6855 7540|7654|7768) 788 2/7996 8680|8794|8908}902 2/9136 9820|9934|4¢048|0162|0276 0959\1073/1187)1301|1415 2099] 2212|2326)2440)2554 3238) 3351|3465|3579| 3693 4376|4490| 4604|4718) 4832 5515|5628)/5742|5856/5970 6653/6766 6880|6994 7108 7790|7904|8018|8132|8245 8928)9042|9155|9269|9383 ¢065|0179'029310406|0520 Die 0 2 eas ae Diff. Diff. 4 oO MIM NH wp = ¥ * LOGARITHMS OF NUMBERS. 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Diff. 114 228 342 456 570 684 798 gi2 1026 & CON ArWwn 113 he COI AOR Wb 112 224 336 448 560 672 784 896 1008 ie CAI OOrR wp ws III 222 333 444 555 666 er 888 999 Diff. & Mult. 112 O OI DOL wn 0 588 8317 * 9436, 589 0555 1674 2792 3910 598 6145 7263 8379 * 9496 590 0612 1728 2844 3999 5075 6189 7304 8418 * 9532 591 0646 1760 2873 LOGARITHMS OF NUMBERS. eee ae 84291854 1|8653'8765 9548|9660, 9772/9884 0667/0779 0891] 1003 1786] 1898) 2009/2121 2904/3016) 3128/3239 4022 ratice 4357 5140|4251/5363'5475 6257/6369 6481/6592 7374|7486|7598|7709 8491|8603|87 14/8826 9943 105 9608/9719/9831 0724|0836}0947 1840|1951|2063]217 2956|3067|3179)3290 4071|4183|4294|4406 5186|5298/5409/5521 6301/6412 6524/6635 7415|7527|7638)7750 8530/8641|8753/8864 9644/9795 | 9866) 9978 0757\0869|0980} 1og1 1871} 1982/2093) 2205 2984|3095|3207|3318 3986) 4097|4208|/4319)4431 5098 6210/6322 7322 8434 * 9546 592 0657/0768) 0879|09g0 1768 2878 3988 5098 6208 7318 8497 * 9536) 593 0644 1753 2861 3968 5076 6183 7290 8397 * 9503 594 0609 1715 2820 3926, §209)5321|5432 5543 6433|6544|6655 7434|7545|7656}7767 8545|8656|8768|8879 9657/9768 |9879|9990 ILOl 1879|1990|2T01|2212 2989|3100/3211|3322 4099/4210|4321|4433 5209|5320/5431)5542 6319|6430|654 1/6652 7429|7540/7650|7761 8538|8649|8760|8870 9647|9757|9868)9979 0755|0866|0977| 1088 1863] 1974/2085) 2196 297 1|3082|3193)3304 4079|4190) 4301/4411 §187/5297|5408)551g 6294/6404)6515|6626 740117511|7622|7933 8507/8618/8729|8839 9614/9724|9835]9945 0720|0830/0941|1051 1825} 1936) 2046} 2157 2931/3041|3152/3262 4036) 4147|4257|4368 5030 5141/5251 6135 6246/6356 793917350 7460 8344 8454/8564 * —9447,9558)9668 595 0551,0661|0772 1654 1764|1875 2757.2867 2978 3860 3970/4080 Ox 15 5362/5472 6466)6577 7571|7681 8675/8785 778\988 5889 ne 1985/2095 3088/3198 4191!4301 3 4 * 58 7 aS aa Diff. | Diff. & Mult, | 8877|8989|9101|9213)9325 1-| Ii 9996 +08 ate 2330 2443 2 By 1115|1227|1338) 1450) 1562 3 336 22.33/2345|2457|2569| 2680 4| 448 3351|3463/3575|3687|3798 5 | 560 4469)4581| 4693| 48044916 6 on P| 5587/5698|58 10/5922|6034 d 4 | 6704|6816|6927/7039!7151 ee 7821|7933|8044)8156|8268 3 I 8938]9049/9161|9273'9384 { 4054|0166|0277/0389/0501 rapott aB4{r andl Weel Ota 2286) 2398/2509] 2621/2732 3402)3513 360% 3736/3848 4517|4629|4740|4852|4963 5632|5744|5855|5967|6078 6747|6858/6970)7081/7193 786 1/7973|8084|8 1 96/8307 8975/9087|9198/9310/9421 #089]0201 |031 2}0423/0535 1203}1314|1426|1537|1648 2316]2427|2539|2650|2761 3429}3540|365 2|3763| 3874 4542|4653|4764) 4876 | 4987 5654) 5765/5877|5988 6099 6766/6878 |6989|7100/7211 7878)7989|8101|821 2/8323 I It 8g990|9101|921 2|9323,9434 2 | =a #101021 210323|/0434/0546 3 | 3337 1212}1323)1434)1545|1656 4 ia et » 2323} 2434|2545)| 2656/2767 6 | 666.— 3433}3544|3655| 3766/3877 7 | 999 4544) 4655|4766|4876|4987 | 111 | 8 | 888 5653/5764|5875/5986|6097 9} 999 6763/6874)6985|7096| 7207 — 7872|7983|8094|8205|8316 898 1|9092|9203|9314|9425 #090]0201|0312/0423/0533 1199] 1309|1420|1531|1642 . 2307] 2417|2528]2639)2750 1} 341 5|3525|3636|3747/|3858 “ie 4522|4633)4744| 4854) 4965 Me 5630} 5740/5851|5962|6072 . 6737|6847|6958|7069)7179 Be 7843/7954|8065/81 75/8286 ig 8950|9060/9171|9282/9392 , #056'0167|0277|0388|0498 ; * 1162|1273]1383| 1494) 1604 {. 2268} 2378|2489| 2599/2710 oe 3373/3483) 3594|3704) 3815 + 4478) 4588) 4699) 4809] 4920 L 5583) 5693 5804 oid Gga8 * 6687|6798|6908)7019)7129 : 118 7792|7902|801 2/81 23/8233 3 330 °8895/9006|91 16 9227/9337 4 460m 9999] #1 10}0220/0330|0441 5.| 550mm 1103)1213}1323| 1434) 1544 6 | 660 — 2206) 2316) 2426) 2537/2647 7 | 770m 3308|3419|3529|3639|3750 8 | 880 44111452 1146321474214852 191 990, 5 6 7 8 Q | Dif. | Diff. & Mult LOGARITHMS OF NUMBERS. Ge Ts 8. ! OD E* 53 9 SRP SS NS RR a a re ce ’ OF 1-82 63 ° 4 Wg Pie at int. 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Oe 602 0600|0708 1686|1794 2771|2879 3856/3964 4941|5049 602516134 7109/7218 8193/8302 * 9277/9385 603 0361/0469 1444|1552 2527|2635 3609/3717 4692|4800 5774|5882 6855/6964 7937/8045 9018/9126 604 0099|0207 1180}1288 2369 33413449 4421\4529 5500|5608 6580/6688 76597767 8738/8846 * 9316/9924 605 0895) 1002 1973|2080 305013158 4328/4236 5205/5313 6282/6390 7359|7467 8435)8543 * 9512/9619 606 0587|06,5 16631771 2739|2846 3814|3921 4889) 4996 5963|6071 7037/7145 8111 8219 * 9185/9993 607 0259|0366 1332|1439 2405|2512 3478|3585 4550|4657 5622 6694/6802 7756}7873 8837/8945 2261 * 9gog|+or6, 608 0979) 1087 2050|2157 3120)3227 4191/4298 Oy 20 5730) ns a 0817\0926|1034 1903|2011|2120 2988] 3096}3205 4073|4181|4290 5158|5266/5375 6242|6351/6459 7326|7435|7543 8410/8519|8627 9494|9602|9711 0577|0686|0794 1660 1769] 1877 2743] 2851|2960 3826)3934| 4042 4908|5016|5124 5990|6098/6206 7072|7180|7288 8153\8261/8370 9235}9343|9451 0315}0424|0532 1396} 1504) 1612 2.477|2585|2693 3557| 3665/3773 4637|4745| 4853 5716|5824|5932 6796|6903|701 1 7875|7983|8090 8953/g061|9169 4032/0140|/0248 1110|1218|1326 2188] 2296|2404 3266|3374|3482 4343)4451|4559 5421\5528|5636 6498)6605)/6713 7574}7682|7790 8651|8758|8866 9727/9834) 9942 0803|og10| 1018 1878) 1986}2093 2954|3061|3169 4029) 4136|4244 5103\5211|5318 6178|6285/6393 7252|7360|7467 8326)8434|8541 9400|9507/9615 0473}0581/0688 1547|1654)1761 2620/2727|2834 3692|3800)3907 4765) 4872] 4979 5837|5944,6051 6909|7016}7123 7980\8087|8195 9052)9159 9266 0123/0230,0337 1194\1301|1408 2264)2371/2478 333434413548 4404'4511) 4618 2.3 4 a 36 1143)1251 Tae Fo 1360)1468)1577 2228|2337/2445|2554) 2662 3313/3422 art 4507 5483/5591 6567/6676 7651/7760 8735|8844 9819/9927 0902|I010 1985/2093 3068/3176 4150/4259 5341 6315|6423 7396|7504 8478)|8586 9067 0640/0748 1720|1828 2801|2909 3881}3989 4961 |5068 6040/6148 7119|7227 8198/8306 9277/9385 0355|0463 1434| 1541 2512/2619 3589|3697 4667/4774 5744/5851 6821/6928 7897/8005 8974|9081 #050|0157 1125|1233 2201}2308 3276|3384 4351|4459 5426|5533 6500/6608 7574|7682 8648/8756 9722|9829 0795)0903 1869] 1976 2941|3049 4O14|4121 5086|5194 6158/6266 7230/7337 8302/8409 9373/9480 0444}0551 1515\1622 2585] 2692 3656|3763 472514832 Dats 3530|3639/3747 4615|4724|4832 5700/5808 |5917 6784|6893|7001 7868|7977|8085 8952|g060|9169 036/01 44)0252 1119|1227|1335 2202|2310|2418 3284|3393|3501 4367|4475|4583 5449|5557|5665 6531|6639|6747 7613/7721|7829 8694/8802|8g910 9779/9883 |9991 0856|0964| 1072 1936|2044}2152 3017|3125|3233 4097|4205)}4313 5176|5284|5392 6256|6364|6472 7335|7443|7551 8414|8522|8630 9493|9601|9708 0571|0679|0787 1649|1757|1865 2943 380§}3912|4020 488% 4990|5098 5959|6067|6175 7144/7251 9296|9404 0372|0480 7789)7897|8004 8863/8971|9078 9937| #0440151 IOJO|LIL7 2083]2190 3156|3263'3371 4229|4336|4443 5301|5408|5515 6373\6480 6587 7445\7552|7659 8516\8623 8730 9987 9694:9801 0658)}0765 0872 1729 1836|1943 2799 2906/3013 3870! 3977| 4084 4939 504615153 TS aay pif. | Diff. & Mult] 108 107 Diff. , OI DOW we On a OO OI Aah wn Si an OO Mb wre x ° = a4 LOGARITHMS OF NUMBERS. 55 | we wwe | oe ® 6° 778 °9. | pik’ | pie © Malt, 608 5260)5367/5474/5581|5688 | 5795|5902\6009/6116)6223 I | 107 6330)6437/6544|6651|6758 | 6865/6972/7078!7185|7292 2 | 214 7399|7506|7613!7720/7827 | 7934}/8041|8148/8254|8361 3] 3o1 8468/8575)8682/8789/8896 | 9003/9110/9216/9323}9430 4 | 428 * 9937}9644)9751/9858/9964 | #071/0178)0285|0392/0499 5 | 535 609 0605|0712/0819/0926) 1033 | 1140/1246)1353| 1460) 1567 6 642 1674|1781|1887|1994|2101 | 2208/2315]2421|2528) 2635 Hs ge 2742| 2849|2955|3062|3169 | 3276)3382)3489/3596/3703 63 3809|3916|4023/ 4130/4236 | 4343|4450|4557|4663|4770 eae 4877|4984|5090/5197/5304 | 5411/5517|5624/5731|5837 5944|6051|6157|6264|6371 7011|71 18/7224) 7331/7438 8075|8184 aes 8398|8504 * 9144}9251|9357/9464|9571 610 0210/0317|0423/0530|0637 1276) 1383} 1489) 1596/1702 2342) 2448) 2555|2661|2768 3407|3514|3620/3727|3833 4472|4579| 4685|4792|4898 6478|6584|6691|6798/6904 7544|7651 7798} 7864/7971 8611|8718/8824|893 1/9037 9677|9784|9890 0743|0850|0956 1809/1916 2874|2981 5005|5111 3088 3940|4046|4 153 2022 5218 9997|#to4 1063}1170 2129]2%35 31943301 4259|4366 5324|5431 5537|5644)/5750|/5856/5963 6602|6708/6815|6921|7027 7666|7772|7879|7985|8092 8730|8836|8943|9049|9156 * 9794/9900] 4007/01 13/0219 611 0857/0964) 1070| 1176} 1283 6069|6176|6282|6389/6495 713417240|7347|7453]7560 8198|8304|8411/8517|8624 9262)9368/9475|958 1/9687 0326|0432|0538/0645|0751 1389|1495)|1602|1708| 1814 2452/2558) 2665|2771|2877 3515} 3621/3728)3834 3940 4578| 4684) 4790|4896|5003 5640|5746/5852|5959/6065 6702|6808|6915/7021|7127 7764|7870|7976|8082|8189 88 26/8932|9038|91 44|9250 9887|9993|4099/0205|0311 0948) 1054} 1160] 1266} 1372 2009) 2115}2221|2327|2433 3069/3175) 328 1/3387/3493 4130|4236| 434214448] 4554 5190|5296|5402|5508/5614 62496355646 1|6567|6673 7309|7415)7521|7627/7733 8368)/8474/8580|8686]8792 9427|9533}9639|9745|9851 0486] 0592/0698 0803 0909 1544| 1650] 1756) 1862/1968 2603|2708} 26 1 4|2920|3026 3661 /3766/3872/3978) 4084 1921| 2027/21 33/2240] 2346 2984) 3090} 3196|3302|3409 4046} 4153) 4259] 4365/4471 5109/5215/5321/5428/5534 6171|6277|6384|6490|6596 7233)7339|7445|75 5m 7658 8295|8401|8507|8619/8719 * 9356)/9462|9569|9675|/9781 612 0417/0524|0630|0736|0842 1478} 1584] 1691}1797 1903 2539] 2645} 2751|2857) 2963 3599|3706} 381 2|3918|4024 4660) 4766) 4872) 4978) 5084 5720/5826] 5931|6037/6143 6779|6885|6991|7097|7203 7839|7944|8050|8 156/8262 8898] 9004|9109|9215)9321 * 9957|#062/0168]0274|0380 613 ror5}1121)1227/1333 1439 2074/2179} 2285)/2391|2497 3132)3237/3343/3449|3555 OO OA OO whr D (ee) (or) 4 106 4189) 4295|4401|4507/4613 | 4718|4824|4930|5036|5141 5247/5353 5459|5564/5570 | 5776)5881/5987|6093/6199 6304)6410/6516|6621|6727 | 6833\6939/7044|7150|7256 7361|7467|7573|7678|7784 | 7890|/7996/8101|8207/8313 8418|8524|8630/8735|8841 | 8947|9052|9158|9263|9369 * 9475|9580|9686| 979219897 | #003/0109/0214|0320/0425 5 614 0531|0637\074210848 0954 | 1059,1165}1270)1376)1482 4 ae 1987|1693}1798|1904/2009 | 2115/2221|2326)243) 2537 3 315 2643) 2748) 2854|2960|3065 | 3171/3276|3382|3487|3593 y ioe 3698) 3804)3909|4015|4121 | 4226/4332|4437]4543| 4648 5 | 525 4754|4859| 4965|5070|5176. | 5281/5387/5492|5598/5703 6 | 630 9809)5914/6020\6125|6231- | 6336/6442/6547/6652\6758 7 | 735, 6863|6969| 7074|7180|7285 7391|7496|7602|7707/781 2 8 | 840 7918'8023'81 291823418340 | 844518550/86561876118867 9 | 945 OO Lo ae GY 8 (9 Ul pint) Dae ea Mal. 56 LOGARITHMS OF NUMBERS. Num Own Fie OB 4 5) 6 7 8-39 Diff. | Diff. & Mult, 4120 | 614 8972'9078 9183/9288) 9394 9499) 9605 9710\9815}9925 1'| 1060 21 | 615 0026)0132 0237/0342'0448 0553'0658 .0764|0869|0975 2 | 212 22 1080|1 185 1291 heen: 1607|1712|1817/1923|2028 3} Si 23 2133) 2239 2344|2449)2555 | 2660)2765)2871|2976|3081 4 | 424 24 3187|3292 3397|3502/3608 | 3713)3818)3924|4029|4134 5 | 530 05 424014345\4450|455514661 | 4766|4871|4976|5082|5187 0 ES 26 5292 3397; 5503|5608/5713 | 5818/5924|6029|6134|6239 ate 8 27 6345)6450 6555 6660/6766 | 6871/6976/7081)7186)7292 54m 28 7397 7802 7607|7712|7818 | 7923|8028)8133|8238/8344 I Ae 29 8449 8554 8659 8764/8870 | 8975|9080\9185}9290/9395 41 30 | * 9501/9606.9711!9816\9921 | +026)0131|0237/0342|0447 31 | 616 0552|0657/0762/0867|0972 | 1078)1183)1288}1393|1498 32 1603}1708/1813)1918}2024 | 2129|2234]2339|2444|2549 33 265412759 2864] 2969|3074 | 3179|3284|3390|3495|3600 34 3705/38 10)3915|4020)4125 | 4230}4335)4440 4545 4650 35 4755|4860/4965|5070|5475 | 5280/5385|5490|5595|5700 36 5805)5910|/6015|61 20/6225 | 6330)6435|6540|6645|6750 | 105 39 6855|6960}7065)7170|7275 | 7380|7485|7590|7695|7800 38 7905/8010|8115|8220)8325 | 8430)8535|8639|8744|8849 39 8954/9059)9164|926919374 | 9479\9584|9689)9794|9899 41 40 | 617 0003/0108)}0213}0318}0423 | 0528)0633|0738|0843}0947 AI 1052|1157/1262|1367|1472 | 1577|1682|1786|1891| 1996 42 2101|2206/2311|2415|2520°| 2625)2730]2835/2940/3045 43 3149)}3254|3359|3464|3569 | 3673|3778/3883 3088 4093 44 4197|4302|4407|451 2/4617 | 4721|4826|4931|5036)5141 c 45 5245/5350/5455|5560|5664 | 5769|5874|5979|6083|6188 46 6293|6398|6502|6607/6712 | 6817/6921/7026|7131|7236 1 | 105 47 7340|7445|7550|7655|7759 | 7864}7969/8073|8178|8283 > | aie 48 8387/8492|8597|8702|8806 | 8911}9016)9120\9225|9330 3 | Sua 49 | * 9434,9539\9644/9748|9853 | 9958!4¢062\0167/0272|0376 4 | 420 41 50 | 618 0481|0586/0690|0795}o900 | 1004}1109|1219 1318] 1423 5a 51 1527|1632/1737|1841|1946 | 2050)2155|226Mf 364) 2469 6 | 630° 52 2573) 2678/2783) 2887|2992. | 3096|3201/336G)3410)3515 7 | 7a 53 3619|3724|3828| 3933/4038 | 4142|4247|435114456| 4560 8 | 840 54 4665|4769|4874|4979|5083 | 5188|/5292/5397| 5501/5606 9 | 945 55 5710/5815|5919|/6024|6128 | 6233/6337|6442|6546)|6651 56 6755/6860/6954|7069|7173 | 7278|7382!7487|7591|7696 59 7800|7905|8009|8114|8218 | 8323/8427|8531|8636|8740 58 §845)8949|9054|9158|9263 | 9367\9471|9576|9680|9785 59 * 9889'9994|+098|0202|0307 | 0411/0516|0620]0725}0829 41 60 | 619 0933)1038|1142}1246}1351 | 1455}1560}1664]1768| 1873 4; 61 1977/2082] 2186) 2290] 2395 | 2499|2603)2708) 281 2}2916 ny 62 3021/3125)3229/3334|3433 | 3549}3647/3751|3655|3960 Me 63 4064) 4168) 4273| 4377/4481 | 4586|4690|4794|4899) 5003 64 §107/5212)5316/5420|/5524 | 5629|5733)/5837|5942|6046 65 6150,6254|6359|646 3/6567 | 6671}6776/6880|6984|7088 66 7193,7297|7401|7505|7610 | 7714|7818]7922|8027|8131 has 67 8235/8339 8443|8548|8652 | 8756|8860,8964|go6g9/9173 3 68 x 9277, Se 9485|9590|9594 | 9798|9902,¢006/or11}0215 ‘i 69 | 620 0319 0423,0527/0631|0736 | 0840 0944} 1048} 1152}1256 ix 41 70 1361/1465 1569 1673/1777 | 1881/1985 2090|2194/2298 i 71 2402 2506 2610/9714|2818 | 2922 3027) 3131}3935 3339 4 r 72 3443 3547 3651|375513859 | 3963,4068 4172|427614380 Sai 73 4484 4588 4692/4795|4go00 | 5004 (5108, 5212 5316,5420 3 ry 74 5524 5628 5733)/5837)/5941 6045. 6149 6253 an dea 4 416 a5 6555 6669 6773;6877/6981 | 7085|/7189 7293 7397/7501 5 | 520 76 7605 7709 781 3/7917 8021 | 8125) 8229 8333/8437)8541 104 6 | 624 77 8645 8749. 8853)8957|9061 gin 9269 9373|947619580 7 | 728 78 | * 9684 9788, 9892|9996|¢100 | 0204/0308 (0412 0516|0620 8 | 832 79 | 621 0724 0828. 0932!1035!1139 | 1243 1347'145111555 1659 9 | 936 Num QO: it ae AS 4. 5 6 7 8 Q | Dif | Diff. & Mult. LOGARITHMS OF NUMBERS. Oe Re 3, 74 621 1763) 1867 1971/2079 2178 2802| 2906) 3009 3113/3217 3840/3944| 4048) 4152'4256 4879| 4982/5086] 51905294 5917)/6021/6124/6228 6332 6955|7058)7162/7266'7370 7992|8096|8200|8303 8407 9030] 9133}9237\9341|9444 622 0067/0170|0274|0378|0482 1104]}1207\1311/1415|1518 2140} 2244|2348) 2451/2555 3177|3280) 3384) 3487/3591 4213|4316|4420|4524| 4627 5249|5352|5456| 5559/5663 6284/6388|6491 6598 6698 7320|7423|7527|7630/7734 8355|8458)8562|8665 8769 * 9390|9493|9597|9700|9804 623 0424/0528|0631}0735}0838 1459| 1562/1666) 1769/1872 2493)2596] 2700] 2803/2906 3527|3630)3734)3837|3940 4560| 4664) 4767| 4871/4974 5594|5697|5801/5904|6007 6627/6730|6834|6937|7040 7660|7763|7867|7970/8073 8693|/8796}8899| 9002/9106 *# 9725/9828/9932] 4035/0138 624 0757/0861 |0964| 1067|1170 2821|2924)3027/31 3852}3956} 4059/41 4884) 4987|5090)5 1 GD 296 5915/6018)6121|6224/6327 6945|7048|7151}7254/7358 7976|8079/8 182|8285|8388 9006/9109)9212|9315!9418 625 0036}0139|0242|0345/0448 1066) 1169) 1272|1375)1478 2095) 2198) 2301|2404|2507 31 25}3227/3330/3433}3536 4154) 4256| 4359) 4462|4565 5182)5285|5388| 5491/5594 6211|6314|6416/6519|6622 7239|7342|7445|7548|7650 8267|8370)8473|8575|8678 * —9295}93938)/9500] 9603/9706 626 0322|0425|0528|0631|0733 1350} 1453) 1555|1658|1761 2377| 2480} 2582| 2685/2788 3404} 3506] 3609) 371 2/3814 4430| 4533) 4636) 4738/4841 5457|5559|5662/5764|5867 6483}6585|6688|6790/6893 7509) 761 1/7714|7816|7919 8534|8637|8739|8842|8944 * 9560/9662|9765|9867|9970 627 0585}0687|0790|0892\0995 1610/1712/1814|1917}2019 2634|2737| 2839) 2942|3044 is I nS See 8 BCs 15 8 49 2282/2386 2490| 2594] 2698 3321/3425 3529) 3633/3736 4359/4463 4567|4671/4775 5398|5502/5605)5709/5813 6436/6540 6643/6747/6851 7473|7577|7681|7785| 7888 8511/8615,8718/8822)8926 9548]9652/9756|9859| 9963 0585|0689)0793| 0896] 1000 1622/1726] 1829/1933)2037 2658) 2762) 2866) 2969/3073 3695|3798|39g02| 4006/4109 4731/4834) 4938|5041/5145 5766/5870|5974/6077|618 1 6802|6906|7009|71 13/7216 7837/7941 |8044|8 1 48/8251 8872|8976|9079|9183)9286 7T\*#O1 1/01 14}0217|0321 0942|1045)1148) 1252/1355 1975] 2079} 2183/2286) 2389 3010}3113}3217}3320|3423 4044| 41 47|4250|4354|4457 5077/5181 |5284/5387)5491 6111|6214/6317|/6420|6524 7144)7247|7350|7453}7557 8176/8 280|8383|/8486|8589 9209931 2/9415}9519/9622 0241|0344|044810551|0654 1273}1377|1480)| 1583] 1686 2305/2408! 2511/2615)2718 3337|3440|3543)3646]3749 4368|447114574|4677|4781 5399|5502|5605}5705/581 2 6430|6533/6636/6739/6842 7461 |7564|7667|7770|7873 8491|8594|8697|8800)8903 9521|9624/9727|9830|9933 0551|0654|0757|0860}0963 1581/1683] 1786) 1889) 1992 2610)2713} 2816] 2919/3022 3639|3742|3845|3948)4051 4668|4771|4874|4977|9079 5697|5799|5902|6005|6108 6725,6828/6931|7033}7 136 7753}7856/7959|8062|8 164 8781 |8884/8987| 9089/9192 9809/9913 |#014|01 17/0220 0836/0939] 1042|1144|1247 1863} 1966] 2069/2171}2274 2890) 29933096) 3 198|33o1 3917|4020/4122|4225|4328 4943\5046|5149|5251/5354 5970,6072/6175|6277|/6380 6996) 7098)7201|7303|7406 8021/81 24|8226|8329|8432 9047/91 49|9252|9354|9457 #072/0175|0277|0380|0482 1097} 1200] 1302|1405| 1507 212.2|2224|9327|2429) 2532 31 46|324913351|345413556 a 6ie7 28 29 a Diff. 103 Diff. 57 — Diff. & Mult. 104 208 312 416 O COU MOAR wr On i) e) 103 206 309 4I2 515 618 721 824 © ON AOR wnp » Fas 102 204 306 408 510 612 714 816 918 Cn’ Amb wnr ~» ‘oO Diff. & Mult. LOGARITHMS OF NUMBERS. A | i as a 5 6 By WB Ko 627 3699/3761 3863|3966|4068 | 4171|4273|4376|4478/4580 4683) 4785|4888|4990|5092 | 5195|5297|5399|5502|5604 §707|5809|5911/6014/6116 | 6219)6321/6423/6526/6628 6730/6833/6935|7037|7140 | 7242|7344)7447|7549| 7651 7754|7856|7958|8061|8163 | 8265/8368)8470|8572|8675 8777|8879|8982|9084/9186 | 9288/9391|\9493}9595|9698 % 9800|9902|4004/0107|0209 | 0311]0414/0516|0618)0720 628 0823)0925|1027)1129|1232 | 1334)1436/1538) 1641/1743 1845|1947|2050|2152|2254 | 2356 2458) 2561|2663|2765 2867|2970|3072|3174/3276 | 3378)3481)3583)/3685| 3787 3889|3991|4094|4196|4298 | 4400)4502|4605|4707|4809 4911|5013}5115)5218)5320 | 5422|/5524)5626 5728/5830 5933|6035|6137|6239/6341 | 6443/6545|/6647/6750/6852 6954) 7056|7158|7260/7362 | 7464|7566|7669)7771|7873 7975|8077|8179/8281/8383 | 8485|8587/8689/8792|8894 9506|9608}9710/9812/9914 Diff. | Diff. & Mult 103 | 206 309 4i2 515 618 721 824 927 OO MT Anh wp 8996/9098) 9200|9302/9404 629 0016 1037 2057 3076 4096 0118)0220 1139|1241 2159) 2261 3178)/3280 4198} 4300 0322/0424 1343|1445 2363|2465 338213484 4402|4504 0526|0628|0730|083 2/0934 1547|1649}1751|1853}1955 2567| 2668) 2770)2872/2974 3586) 3688 | 3790/3892|3994 4606|4708|48 10/491 1/5013 5115)5217/5319/5421/5523 6134)}6236|6338/6440\6542 7153/7255}7357|7459|7561 8172|8274/8376|8478|8579 * 9190|9292|9394|949619598 630 ae eye ne 2874 2676 1226)1328)} 1430) 1532/1634 2244| 2346) 2448) 2549) 2651 3262|3363]3465|3567|3668 4279|4380) 448 2| 4584| 4686 5296/5397/5499|5601|5702 6312|641 4/65 16/661 7/6719 7329|7431}7532|7634|/7735 5625|5727/5829/5931|6033 6644|6746/6848}6950| 7051 7663|7765|7866| 7968/8070 8681 8885|8987| 9089 9699 0717 1735 193g9]2041|2142 2753) 2855} 2956|3058/3160 3770|387213 075|4177 8345|8447|8548 * 9361|9463/9564 631 0377|0479}0580 1393) 1494} 1596 2408) 2509)2611 3423/3524} 3626 4438|4539|4641 5452)555415655 64676568] 6669 8650/8752 9666/9768 0682/0783 1697/1799 2712\2814 3727/3829 4742/4844 5757/5858 6771/6872 9869/9971} 4#072|0174|0275 0885] 0986] 1088|1189}1291 1900] 2002] 2103}2205|2306 2915/3017/3118/3220|3321 3930]4032!4133|4235|4336 4945)|5046)5148|5249/5351 5959/6061 |6162|6264|/6365 E Cn Aor wn 6974|7075|7177|7278|7379 7988|8089/8190 8292 8393 g001|9103|9204|9306|9407 #015/0116/0218/0319]0420 1028}1130|1231|133211434 2041|2143/2244|2345]2446 7481|7582!7684|7785|7886 8495|8595|8697|8799|8900 * 9508|9610|9711/981 2|9914 632 0522/0623 Ae 0826/0927 1535} 1636) 1737|1839|1940 2548) 2649] 2750 3560) 3662/3763 4573) 467414775 5585|5686/5788 6597|6698/6800 7609}7710|7811 8620/8722/8823 * 32/9733|9834 633 B53 0744 2845 1654| 1755|1856 2664) 2765/2866 3674|3775|3876 Ow hig 2852|2953 3864} 3965 4877|4978 5889/5990 6g01|7002 7912|8014 8924/9025 9935|4+036 0946) 1047 1957|2058 2967|3068 397814079 3d 4 305413155) 3257|3358|3459 4067|4168|4269|4370| 4472 5079|5180|5282/5383|5484 6091|6192|6294|6395 6496 7103/7204!7305|7407/7508 8115/8216/8317/8418 8519 9126)9227|9328)/942919531 0137|0238]0339|0441|0542 1148/1249|1350]1451}1552 2159] 2260/2361 |2462!2563 3169/3270|3371/3472|3573 4180) 428 1!438214483)4584 2) 6. 7 RBS COU AOR wn $ : 1or Diff. | Diff, & Mult. 633 4685)4786| 4887 LOGARITHMS OF NUMBERS. BBB Py: 4 4988|5089 5997|6098 Oe.) 5694|5795/5896 6704/6805) 6906 97713/7814!7915 8723/88 24/8924 % 9732/9832|/9933 634 0740\0841 * 1749}1850 2757|2858 3765) 3866 4773|4873 5780/5881 6788/6888 0942|1043}1144 1950]2051|2152 2959|3059|3160 3967|4067|4168 4974|5075|5176 598 2/6082/6183 6989|7090|7 190 5 6 5190/5291 6199/6300 7209/7310 8218/8319 9227/9328 0236/0337 1245|1345 2253}2354 4S HO 5391/5492|5593 6401|6502|6603 7411|7512/7613 8420)8521/8622 9429|9530| 9631 0438}0539] 0639 1446|1547| 1648 2455) 2555] 2656 7795|7895|7996|8097)/8197 8801/8902}9003}9103/9204 * 9808|9909| 009/01 10/0211 635 0814/0915) 1016} 1116)1217 1820]1921|2022|2122/2223 -2826]2927|3028|3128]3229 3832/3933) 4033|4134|4234 4837|4938|5039| 5139/5240 5843|5943|6044|6144|6245 6848|6948|7049/7149|7250 785 2|7953/8053/8154/8254 8857|8957|9058)9158}9259 * 9861/9962|4062/0162|0263 636 0865]}0966) 1066) 1 166} 1 267 1869) 1969] 2070| 2170] 2270 2873|2973|3073|3174|3274 3876|397 4879|4979|5080 5882|598 2/608 2|6 —™ 6884'6985)7085|7 7887/7987|8087|8 8889|8989) 9089 * 9891|/9991|+091 637 0893}0993] 1093 1894] 1994|2094|2 2895/2996) 3096 3897|3997|4097 4897|4997|5097 5808 5008 6008 6898|6998| 7098 7898|7998|8098 §898|8998| 9098 % 9898|9998 +098 326 1|3362|3463)| 3563} 3664 4269|4370|4470|457 1/4672 5276|5377|5478|5579|5679 6284|6385|6485|6586|6687 7291) 7392|7492|7593| 7694 8298|8399|8499|8600 8701 9305}9405}9506|9607|9707 0311/0412/0512|0613/0714 1317|1418]1519|1619|1720 9323|}2424|2525]2625}2726 3329}3430|3530|3631)|3731 4335| 4435) 4536| 4636) 4737 5340/5441|5541|5642}5742 6345|6446|6546|6647|6747 7350|7450|7551} 765117752 8355|8455|8556| 8656/8756 935919459 0363/0464 1367|1467 2371|2471 3374|3475 4377|4478 5380|5481 6383/6483 7386|7486 9560|9660/9761 0564|0664)0765 1568} 1668] 1769 2571|2672/2772 3575|3675|3776 4578) 4678) 4779 5581/5681|5782 6584|6684/6784 7586/7686) 7787 8388|8488)8588 9390/9490)9590 0392|0492|0592 1394|1494|1594 8689/8789 9691/9791 0692/0793 1694]1794 8 0897/0997 1896| 1996 2895| 2995 3894/3994 4893) 4992 5891 Bok 6889'6989 1097|1197|1297 2096} 2196] 2296 3095|3195|3295 4094) 4194) 4294 5092)5192|5292 6090/61 90|6290 7088/7188) 7288 7887/7986 8884|8984 * 9882/9981 8086/8186, 8286 9084) 9183) 9283 #08 1/0181|0280 639 0879|0978)1078)1178|1277 1876} 1975|2075|2175\2274 287 2|2972|3072|3171\3271 3869) 3968! 4068) 4168} 4267 Ope 1 22. eal 2395| 2495) 2595)2695|2795 3396) 3496/3596) 3696) 3796 4397|4497|4597|4697|4797 5398/5498)5598/5698|5798 6398|6498|6598|6698/6798 7398|7498|7598| 7698/7798 8398}8498|8598 8698/8798 939819498 | 9598} 9698) 9798 0398]0497|0597|0697|0797 1397|1497)|1597|1697|1796 2396) 2496) 2596) 2696/2795 3395) 3495) 3594| 3694/3794 4393|4493)4593| 4693) 4793 5392|5492\5591/|5691|5791 6390/6490\6589 6689/6789 7388/7488 '7587| 7687/7787 8385|8485 8585|8685|8784 9383|9483 9582|9682|9782 0380|0480|0580)|0679|0779 1377|1477|1577|1676| 1776 2374) 2474) 2573|2673\2773 337 1|3470|3570|3669|3769 4367| 4466) 4566| 4666! 4765 Git <8 — 9 Diff. 101 100 Diff. lo C~I AOR wp » lo Cn AOR wp wr 59 Diff. & Mult. 101 202 303 404 505 606 707 808 909 100 200 300 4oo 500 600 700 800 goo Con OO wh NY ‘oO On Se) foe) ‘oO ~ Diff. & Mult. 0 639 456 586 I 6857 7852 8847 * 9842 640 0837 1832 2826 3820 4814 5808 6802 7799 8788 * 9781 641 0773 1765 2758 3749 4741 5733 6724 7715 8705 * 96 642 0686 1676 2666 3656 4645 5634 6623 761 2|7711|7810)7909|8007 8601 |8699|8798|8897|8996 LOGARITHMS OF NUMBERS. Ee 5|4965|5064 5164)5263 5g60|6060 '6956/7056 7992|8051 8947/9046 42|4041 es 1036 1931|2031 29263025 3920) 4019 4914|5013 5907|6007 6901|7000 7894/7993 8887/8986 9880/9979 0872/0972 1865] 1964 2857| 2956 3849|3948 4840|4939 5832|5g31 6823/6922 7814|7913 8805/8904 969795|9894 0785|0884 1775}1874 2765] 2864 3755|3854 4744|4843 5733/5832 6722/6821 3. 4 6160/6259 7155|7255 8151|8250 9146/9245 OI 41/0240 1136}1235 2130|2230 3125/3224 4119)4218 5113|5212 6106/6205 7100|7199 8093/8192 go86|9g185 4078/0178 IO7I|1170 2063|2162 3055|3154 4047|4146 5039/5138 6030)61 29 7021|7120 8012|8111 9003/9102 9993|+092 0983} 1082 1973/2072 2963|3062 3953|4052 4942|5041 5931|6030 6920/7019 * 9589/9688|9786|9885|9984 643 his 2676 ay 2893 Mons 1565| 1663} 1762|1861| 1960 2552|2651}2750|2848]2947 3540|3638}3737 3836/3935 4527|4625|4724|4823|4922 5514/5612/5711|5810/5g08 6500/6599|6698|6796|6895 7487|7585|7684|7783|7881 8473 * 9459 644 0445 1431 2416 34o1 4386 5371 6355 7339 8323) * 9307 645 0291 1274 2257 3240 0 8572/8670 9558] 9656 0543|\0642 8769/8868 9755/9853 O741 1529 2514 3499 1628}1726 2613)2711 3598} 3696 083 838 2810 3795 4484) 4583 546915567 6453/6552 4681/4780 5666/5764 6650/6749 7438 84292 9405 0389 1372 9355 3338 Z 7536!-635 8520/8618 9504|g602 0487/0586 1471|1569 2454)2552 3437|3535 oO 7733 8717 9701 0684 1667 2650 3633 4 5. 68°78 29 5363|5463|5562|5662)5761 6359/6458 |6558!6657|6757 7354|7454|7553|7653| 7753 8350|8449|8549|8648|8748 9345)9444|9544|9643)/9743 0340|0439|0539|0638|0738 1335] 1434/1534] 1633}1732 2329] 2429|2528|2627/2727 3323|3423|3522|3622|3721 4317|4417|4516|4616|4715 5311|5411/5510)5609/5709 6305|6404|6504}6603|6702 7298|7398|7497|7596| 7695 8291|83g91|8490/8589/8688 9284/9383/9483|9582|968 1 0277|0376|0475/0575|0674 1269) 1369 1468} 1567) 1666 2262)|2361|2460)2559| 2658 3254|3353}3452|355 1/3650 4245|4344|4444|4543|4642 5237|5336/5435}5534|5633 6228/6327|6426|6526)6625 7219|7318}7417|7517|7616 8210|8309|8408}8507) 8606 9201}9300/9399|9498|9597 0191|0290|0389|0488}0587 1181|1280/1379|1478|1577 2171/2270}2369| 2468/2567 3161|3260|3359|3458| 3557 4151|4249|4) 47|4546 9095|919419292|9391 19490 ¢083/0182}0280]0379|0478 1071|1170}1268}1367| 1466 2058} 2157} 2256) 2355) 2454 30463 145|3243|3342|3441 4033] 4132|4231|4329| 4428 5020/5119/5218|5316/5415 6007|6106/6204/6303|6402 6994/709217191/7290/7388 7980 sk 8177/8276|8374 8966|9065|9163/9262|9361 9952)|#051|0149]0248]0346 0938} 1036) 1135) 1233) 1332 1923} 2022/2120/2219}2317 2908] 3007|3105|3204)/3302 3893/3992|4090|4189| 4287 4878) 4977|5075|5174|5272 5863|5961|6060/6158/6257 6847|6946|7044|7142|7241 7831/7930|8028 8127/8225 8815|8914|901 2/91 10/9209 9799|9897/9996| s094)o192 0782)088 1 |0979| 1077/1176 1766) 1864) 1962) 2061/2159 2749) 2847|2945|3043}3142 3731/3830 3928' 4026/4124 Do). 6 67> 98> ae Diff. ee) ve) Diff. 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LOGARITHMS OF NUMBERS. 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LOGARITHMS OF NUMBERS. O02) gh 2. St 4600 | 662 7578|7673|7767|7862)7956 Ol O2 03 04 05 06 8522|8617/8711|8805/8g00 * 9466/9561|9655'9749 9844 663 0410}0504|0598 0693/0787 1353|1447| 1542|1636|1730 2296) 2391|2485) 2579) 2674 3239|3334|3428)3522|3616 4182|4276|4371|4465) 4559 §125/5219/5313/5407|5502 6067|6161|6256/6350|6444 7009|7103}7198}7292|7386 7951|8045|81 40/8234/8328 8893|8987|908 1|9175|9270 9835|9929|#023|/011 7/0211 0776|0870)0964] 1058) 1152 1717|1811/1905|1999|2093 2658|2752|2846|2940\3034 3599| 3693] 3787/3881) 3975 4539|4633}4727|4821/4915 5480|5574|5668|5762|5856 « 6420/65 1 4|6608|6702|6796 7360|7454|7548|7642|7736 8299|8393|8487|858 1/8675 a 9333}9427|9521/9015 0178|0272|0366|}0460|0554 1117|1211/1305|13g9|1493 2056) 2150|2244|2338)} 2432 2995|3089|3183|3277|3370 3934}4027|4121|4215|4309 4872)|4966|5059|5153}5247 5810/5904|5998|6091/6185 6748|6842|6935|7029|7123 7686|7779|7873|7967 8623/8717/8810|8904 * 9560|9654/9748|9841 666 0497|0591|0685}0778 8061 8998 9935 0872 1434}1528}1622|1715| 1809 2371|2465|2558) 2659|2746 3307}3401|3495|3588| 3682 4244|4337|4431|4525|4618 5180|5273)5367|5461|5554 6116/6209|6303}6396|64g0 7051171 45|7238|7332|7426 7987|8080|8174|8267|8361 8922|9016}9109|9203}9296 * 9857/9951/4044|01 380231 667 0792/0886)0979|1072|1166 1727|1820) tg14}2007|2101 2661)2755|2848}2941|3035 3595)368g/3782)3876| 3969 - 4530}4623)4716|4810|4903 5463}5557|5650|5744|5837 6397|6490|6584|6677 7331|7424|7517|761 117704 8264/8357|8450|8544 A 6 7 Ss ae 8050)81 45 8239 8334/8428 8994|9089 9183 9277/9372 9938|¢032\0127 02210315 088 1|0976) 1070 1164/1259 1825)1919| 2013 2108/2202 2768) 2862/2956) 3051|3145 3711/3805] 3899 3994/4088 4653|4748|4842| 4936/5030 5596/5690! 5784'5879|5973 6538 |6632/6727/6821|6915 7480|7574|7669)7763|7857 8422|8516/86 10/8705|8799 9364|9458|9552|9646|9740 0305|0399|0494|0588]0682 1247|1341)1435)1529]1623 2188}2282| 2376) 2470|2564 31 28}3222/3317)3411|3505 4069) 4163! 4257) 435114445 5009}5104)/5198|/5292/5386 5950|6044|6138/6232/6326 6890|6984|7078)7172|7266 7830)7924|8018|8111|8205 8769/8863)8957/9051|9145 9709|9803|9896|9990|+084 0648|0742|0836}0930}]1023 1587| 1681/1775] 1869/1962 2526| 2620/2713/2807|2901 3464) 3558|3652|3746|3840 4403) 4497|4590|4684|4778 5341|5435|5529/5622/5716 6279|6373|6466|6560|6654 7217|731017404|7498|7592 8154/8248|8342|8436|8529 9992}918519279}9373) 9467 #029]01 23/021610310|0404 0966) 1060} 1153/1247|1341 1903} 1996} 2090|2184|2277 2839] 2933|3027|3120|3214 3776) 3869)3963) 4056] 4150 471 2|4805|4899|4993|5086 5648} 574 1|5835)5929|6022 6584|6677|677 1|6864/6958 7519|7613}7706)7800}7893 8454)8548|8642|8735|8829 9390/9483|9577}9670/9764 0325}0418|}051 2|0605|0699 1259}1353|1446| 1540} 1633 2194|2287/2381/2474|2568 31 28}3222)3315|3409|3502 4063) 4156)4249}4343| 4436 4996|5090|5183|5277|5370 5930|6024/6117|6210|6304 6864|6957|705 1171 44/7237 7797|7891|7984|8077/8170 8730|8824/8917|go10\9104 * 9197|9290\9383 668 0130]0223)0316 1062|1156)1249 1995!2088)2181 292713020131 14 0 iL, ge 0410|0503 o 4 9663) 9757 0596) 0689 1529) 1622 2461\2554 339313486 Do 6 9850|9943|+036 0783)\0876)\0969 1715|1808} 1902 2647)|2741|2834 35801367313766 7288 aed Diff. Diff. OO ON Hor wd Cr AO ws Se) LOGARITHMS OF NUMBERS. _ Num. OO ae2°3 «4 4660 | 668 3859)3952)4046)4139)4232 61 4791|4884)4977|5071)5164 62 5723|5816)|5909|6002/6095 63 6654/6747 '6840|6934|7027 64 7585|7679|7772|7865!7908 65 8516|8610|8703/8796)/ 8889 66 | * 9447|9540|9633/9727|9820 67 | 669 0378]0471|0564|0657/0750 68 1308] 1402}1495| 1588) 1681 69 2.239) 2332|2425)2518)2611 46 70 3169|3262|3355|3448)/3541 71 4099|4192|4285| 4378/4471 72 5028/51 21/5214/5307|5400 73 5958|605 1 |6144/6237/6330 74 6887|6980/7073|7166)7259 79 7816/7909|8002|8095|8 188 76 8745/8838)/8931|9024|9117 77. | * 9674|9767|9859|9952| 4045 ~ 78 | 670 0602|0695!0788|088 1|}0974 79 1530|1623|1716| 1809] 1902 46 80 2459) 255112644|2737/|2830 81 3386|3479|3572|3665|3758 82 4314) 4407|4500|4592}4685 83 5242|5334|5427|5520}5613 84 6169|6262!6354|6447|6540 85 7096|7189|7281|7374|7467 86 8023/8116|8208|8301 |8394 87 8950|9042|9135/9228|9320 88 | * 9876)9969|¢061/0154)0247 89 | 671 0802/0895|0988) 1080}1173 46.90 1728/1821)1914| 2006] 2099 gI 2654] 2747|2839|2932|3025 92 3580)|3673|3765|3858)3950 93 4506|4598|4691|4783| 4876 94 5431|5523)/5616|5708/5801 95 6356/6448|654 1 |6633|6726 96 7281|7373}7466|7558|7651 : 97 8206 BA9SIb 99) 84838575 : 98 9130|9223)9315|9407|9500 : 99 | 672 0054)0147\0239 0332/0424 ' 47:00 0979|1071}1163|1256}1348 oI 0 1995|2087| 2180/2272 02 2826} 2919)3011|3103/3196 03 3750|3842|3934|4027|4119 4 4673|4765) 4858} 4950|5042 05 5596|5689!5781|5873)5965 06 6519|6612|6704|6796/6888 | 07 7442|\7534|7627|7719| 7811 08 8365|8457|8549|8641|8734 09 | * 92871937919471|9564) 9656 47 10 | 673 0209}0301\0393|0486|0578 | II 1131|1223}1315|1 408} 1500 | 12 2053) 2145/2237|2329)2421 13 2974|3067/3159|3251|3343 14 3896|3988 | 4080|4172|4264 5] 4817/4909/5001}5093]5185 | a6 5738/5830|5922|601 4/6106 17 6659/6751 |6843|6935|7027 | 18 7579|7671/7763|7856|7948 19 8500/8592|8684'8776|8868 | Num O41 = 2 "R48 9 myo: es eS 9 4325)44181451 1|4605|4698 5257|5350|5443|5536|5630 6188|6282'6375|6468/6561 7120|7213/7306|7399|7492 8051|8144|8237/8330|8423 8982|9075|9168/9261|9354 13|¢006}0099/0192|0285 0843|0936|1029}1122/1215 1774|1867|1960}2053}2146 2704] 2797|2890| 2983) 3076 3634|3727|3820|3913)4006 4564) 4656) 4749|4842)4935 5493|5586)5679|5772/5865 6422|6515|6608|6701|6794 735217445|7537|7630|7723 8281|8373|8466|8559| 8652 9209|9302|9395|9488|9581 0138]0231|0324|0416!0509 1066) 1159) 1252/1345) 1438 1995|2087| 2180] 2273/2366 3108|3201|3294 2922/3015 3850/3943 4778) 4871 5705|5798 6632/6725 7559|7652 8486}857 9413 gh 4036|4129|4221 4963)5056/5149 5891/5983)6076 6818/6911)7003 7745|7837|7930 8672|8764|8857 9598)9691 9783 0339}0432|0524|0617\0710 1265|1358|1451|1543| 1636 2191|2284|2377| 2469/2562 3117|3210|3302|3395|3487 4043)4135|4228|4320]4413 4968|5061}5153/5246)5338 5893|5986|6078|6171|6263 6818|691 1|7003}7096|7188 7743|7836|7928|8021 |8113 8668|8760|8853|8945|go038 9592/9685|9777|9870|9962 0517|0609|0701|0794|0886 1441|1533|1625|1718|1810 2364|2457|2549| 2642/2734 3288)3380)3473|3565|3657 421 1|4304| 4396) 4488) 4581 5135)5227/5319|541 2/5504 6058|6150/624216335|6427 6981|7073|7165]7257)7350 7903/7996|8088|8180|8272 8826/8918) gor0|g102|/9195 9748) 9840|9932|+#025/0117 0670|0762|0854}0947/1039 1592|1684] 1776] 1868) 1961 2514) 2606] 2698| 2790] 2882 3435|3527|3619|371 2|3804 4356) 4449) 4541) 4633] 4725 5997|5370|5462|5554)5646 6198|6290/6383)\6475/6567 7119|7211|7303|7395|7487 8040|8132|8224/8316|8408 8960!9052|91 44/9236) 9328 Be) 6 003.748} ),.9 65 Diff. Diff. & Mult. 93 186 27 302 465 558 651 744 837 93 OO OWN AA wb 92 184 276 368 460 552 644 736 828 © OY AOL wb Diff. | Diff. & Mult. p* 0 LOGARITHMS OF NUMBERS. 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ODI MAH Wd & OO OWI AOR Wh Diff. & Mult. | LOGARITHMS OF NUMBERS. 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Diff. 67 Diff. & Mult. gl 182 273 364 455 546 637 728 819 lo COI Arh wb lo Con) Moh Wb 8 “8 267 356 445 534 623 CNA HRwd 712 8o1 »e) Diff. & Mult. Num. LOGARITHMS OF NUMBERS. Od ae a8" 34 4840 | 684 8454/8543)8633/8723)8813 * 9351|9441|9530|9620/9710 685 02.48)0338|0427|0517|0607 * 1145/1234|1324|1414|1503 2041|2131|2221/2310)2400 2938) 3027|3117)3207/3296 3834)3924|4013)4103|4193 4730|48 20] 4909|4999|5089 5626|5716|5805|5895|5984 6522|/6611/6701/6791|6880 7417|7507|7596|7686| 7776 8313/8402|8492/8581|8671 9208|9297|9387/9476}9566 686 0103 0192|0282|0371|0461 # 0998] 1087|1177|1266)1356 1899|1982|2071}2161|2250 2787| 2876) 2966|3055|31 45 368 1|3770|3860}3949| 4039 4575|4665|4754|4843|4933 5469|5558|5648/5737|5826 6363|6452|6541|663 1/6720 7256|7346|7435|7524|7614 8150/8239|8328|8418)/8507 9043/9132}9221|/9311\9400 9936)}+025|0114}0204|0293 687 0828)0918|1007| 1096/1186 1721/1810} 1g00|198g|2078 2613} 2703)2792| 2881/2970 3506)3595|3684/3773|3863 4398) 4487|4576|4665|4755 5290}5379)}5468|5557/5646 6181|6270/6360/6449|6538 7073|7162|7251|7340|7429 7964|8053|8142|823 1/8321 8855|/8944|9033/91 23/9212 * 9746/9835|9924|¢013/0103 688 0637/0726|0815|0904)0993 * 1528)1617|1706|1'795|1884 2418} 2507|2596) 2685/2774 3308}3397|3486|3575|3664 4198) 4287| 4376/4465) 4554 5088|5177|5266|5355|5444 5978|6067|6156/6245/6334 6867|6956|}7045/71 34/7223 7797|7845|7934|8023|8112 8646|8735|8823/8912)g001 9535/9624|9712|9801/98go0 689 0423051 2|0601|0690)0779 1312]1401}1490}1579| 1667 2200| 2289] 2378] 2467|2556 3089]3177|3266/3355|3444 3977/4065) 4154|4243|4332 4864|4953)5042/5131|5220 5752|5841|5930|6018|/6107 6640|6728|6817/6906|/6995 7527|7616}7704/7793|7882 8414|8503|8591/8680|/8769 * 9301)9390/9478|9567|9656 690 0188]0276)0365|0454)0542 1074|1163!125211340) 1429 O ‘Bagaaeuni et & 6° RI, FB. 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LOGARITHMS OF NUMBERS. 69 ~ Num OF Lvgnos .4 SGT S89 9. 4) Die | Dire Mok. 4900 |690 1961\2049|2138)2227/2315 | 2404/2493|2581| 2670/2758 I 89 oI 2847|2936)3024/3113/3201 | 32g0 3379|3467| 3556/3644 . 2 | 198 02 3733|3822|3g10|}3999|4087 | 4176)4265 4353|4442|4530 3 | 267 03 4619|4708}4796 1882 4973 | 5062)5150 5239|5327|5416 4 | 356 04 5505|5593|5682/5770/5859 | 5947/6036)/6124/6213/6302 5 | 445 05 6390|6479|6567|6656|6744 | 6833\6921|7070|7098|7187 6 aa 06 97275|7364|7452|7541|7630 | 7718}7807|7895)7984/8072 2 07 8161|8249/8338/8426)8515 | 8603|8692|8780|8869|8957 ee 08 9046|9134|9223}9311/9399 | 9488}9576)/9665)9753/9842 mab a? 09 | * 9930/¢019|0107\0196/0284 | 0373\0461/0550|0638|0726 49 10 | 691 0815/0g03/0992|1080|1169 | 1257}1346)1434/1529}1617 II 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 4352|4440!4528| 4617/4705 | 4793|4882|4970)5058/5147 15 §235/5324|/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|g033|g121 | 9210/9298/9386|9474) 9563 4920 | * 9651/9739/9828/9916|4004 | 0092/0181/0269|0357|0445 21 | 692 0534/0622|0710|0798|0887 | 0975}1063}1151|1240]1328 22 1416|1504)1593|1681)1769 | 1857)1945|2034)2122|2210 23 2298} 2387|2475|2563/265r | 2739/2828/2916|3004|30g2 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 1 | 88 27 5826|5914|6002|6090 6178 | 6266/6354|6443|653 1/6619 2 | 176 28 6707|6795|6883|6971|7059 | 7148)7236|7324)741 2|7500 3 | 264 29 7588)/7676|7764|7853)\7941 | 8029|8117|8205/8293)/8381 4 a 49 30 8469|8557|8645|8733|8822 | 8910|8998|9086\9174/9262 61 58 31 | * 9350!9438|9526|)9614\9702 | 9790|9878|9967|¢055)0143 7 | 616 32 | 693 0231|0319|0407}0495|0583 | 0671}0759/0847|0935)1023 8 | 704 33 I£11|1199}1287|1375|1463 | 1551|1639)1727|/1815)1903 9 | 792 34 1991/2079] 2167|2256}2344 | 2432|2520|2608| 2696/2784 ene I ak PE 35 2872|2960|3048|3136/3224 | 3312|3400]3488)3576)3664 | 88 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 621 4|6302 39 6390/6478|6566|6654/6742 | 6830|6918]7006|7094|7182 ’ 49 40 7269|7357|7445|7533|7621 | 7709|7797|788517973|8061 4I 8149|8236|8324)8412|8500 | 8588|8676|8764/885 2/8940 42 9027/91 15|9203|9291|9379 | 9467)9555|9643/9730)9818 43 | * 9906/9994|¢082/0170/0258 | 0345|0433|0521|0609|/0697 44 | 694 0785|0872/0960|1048}1136 | 1224|1312|1399|1487|1575 45 1663}1751/1839|1926|2014 | 2102|2190/2278|2366)2453 46 2541|2629|2717|2805|2892 | -2980|3068]3156)3244|3331 47 3419|3507|3595|3682/3770 | 3858|3946|4034| 4121/4209 48 4297|4385|4472|4560| 4648 | 4736|4824|4911|4999|5087 49 5175|5262|5350)5438/5526 | 5613/5701|5789,5877|5964 49 5o 6052|6140\6227/6315|6403 | 6491/6578|6666 6754/6842 51 6929|7017|7105 719217280 | 7368)7456|7543/763117719 : 8 52 7806|7894|7982|8069|8157 | 8245/8333|8420|8508|8596 ose 53 8683/8771 |8859|8946|9034 | 912219209|9297/9385|9472 3 oe 54 | * 9560|9648]9735|9823 9911 | 9998)+086}0174\0261}0349 4 | 348 55 | 695 0437/0524/0612|070010787 | 0875|0962|1050/1138]1225 5 | 435 56 1313|1401|1488|1576|1663 | 1751/1830|1926)2014|2102 6 | 522 57 2189] 2277/2364] 2452|2540 | 2627|2715|2802 2890) 2978 7 | 609 58 3065|3153|3240|3328|3416 | 3503/3591|3678/3766|3854 8 | 696 | 59 39411402914116'4204|4991 | 4379446714554! 464214729 9 | 783 Num. ie Soy Ghee Mea ee 4 BS Oily SS ee ] Diff. | Diff. & Mult. 170 LOGARITHMS OF NUMBERS. pir. | Diff. & Mult. 2: Metts 4969 | 635 4817|4904|4992\5079/5167 | 5255|5342/5430|5517/5605 Fh 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|81 43/8230 } 64 8318}8405 8493/8580|8668 | 8755/8843/8930|9018]/g105 {| 65 193|9280/9367|9455|9542 | 9630\9717/9805/9892|9980 | 66 | 696 ae ee ia 2330 aie Kiet 0592|0679|0767|0854 { | 67 0942|1029/1116/1204|1291 | 1379|1466)1554/1641|1728 , 68 1816]1903|1g991|2078]2166 | 2253|2340)2428}2515|2603 | 69 2690)2777|2805|2952|3040 | 3127/3214)3302|3389|3477 1 | 88 49 70 3564|3651|3739|3526|3913 | 4001/4088) 4176}4263 4350 3 a ei 71 4438|4525| 461 2|4700|4787 | 4874|4962|5049|5137|5224 41 ae 72 5311/5399)5486|5573|5661 | 5748/5835|5923/6010/6097 5 ae 73 6185|6272|6359|6447\6534 | 6621|6709|/6796/6883/6970 6 | 598 | 74 7058)/7145|7232|7320|7407 | 7494]/7582|/7669|7756|7844 7 | 616 a) 7931|8018|8105/8193)8280 | 8367|8455|8542|8629)8716 8 | 704 76 8804/8891 /8978!9066|9153 | 9240\9327/9415|9502|9589 9 | 792 77 | * 9676/9764 985119938}4025 | o113!0200|0287|0374|0462 iv 78 | 697 0549|0636/0723/0811|0898 | 0985]1072/1160|1247|1334 | 79 1421|1508)1596|1683|1770 | 1857]/1945|2032|2119}2206 |. | 49 80 2.293) 2381|2468|2555|2642 | 2729/2817|2904]2991 |3078 } | 81 3165|3253|3340|3427|3514 | 3601|3689|3776|3863|3950 ~f 82 4037| 41 24|4212|4299|4386; | 4473]4560|4647|4735|4822 ll 83 4909|4996|5083)5170/5257 | 5345|5432|5519|5606/5693 ay 84 5780|5867]5955/6042|6129 | 6216|6303|6390|6477|6505 | | 85 6652|6739|6826|6913/7000. | 7087/7174/7261|7349|7436 ) 86 7523!7610|7697/7784|7871 | 7958)8045/8132/8220|8307 iy | 87 8394/8481|8568|8655|8742 | 8829/8916 9003/9090|9177 | 88 | * 9264)/9352/9439|9526|9613 | 9700/9787/9874|9961|+048 Ms 89 | 698 0135}0222}0309)0396|0483 | 0570|0657\0744|0831/0918 Ms 49 90 1005|1092|1180|1267/1354 | 1441|1528|1615|1702|1789 ay gI 1876|1963|2050/2137|2224 | 2311|2398/2485)2572|2659 8 ‘dd 92 2746] 2833|2920|3007|3094 | 3181|3268/3355/3442|3529 7 J 93 3616}3703|3790|3877/3964 | 4051/4138/4224|431 1/4398 si 94 4485) 457 2|4659|4746|4833 | 4920|5007|5094|5181|5268 i 95 5355|5442|5529/5616/5703 | 5790|5877|5964/6050|6137 4 96 6224/6311 |6398/6485|6572 | 6659|6746|6833|6920| 7007 a 97 7093|7180)7267|7354|7441 | 7528|7615|7702|7789|7876 a 98 7903|8049|8136/8223/8310 | 8397|8484/8571|8658/8744 | 99 8831|8918|9005|g092|9179 | 9266/9353\9439|9526|9613 5 5000 | * 9700|9787\9874|9961|¢047 | 0134/0221/0308|0395|0482 +; O1 | 699 0569|0655\0742|0829|0916 | 1003]10g0]1176|1263|1350 a) 02 1437/1524|1611/1697|1784 | 1871 7068 2045}2131|2218 | 03 2305|2392|2479|2565}2652 | 2739]2826)2913}2999|3086 1 | 87a of 3173|3260|3347|3433)3520 | 3607|3694|3780|3867|3954 : e 05 4041141 28) 421 4|4301|4388 | 4475|4561|4648|4735|4822 4 348 06 4908) 4995|5082|5169/5255 | 5342/5429/5516/5602|5689 51435 07 5776|5863|5949|6036|6123 | 6210/6296,6383/6470/6556 6 | 5228. 08 6643|6730/6817/6903/6990 | 7077|7163|7250|7337|7424 7 | 60 Mr) 09 7510|7597|7684|7770|7857 | 7944|8031|8117|8204|8291 816 'e 50 10 8377|8464/8551|8637/8724 | 8811|8897|8984|907119157 9 | 783 Il | * 9244)9331/941719504|9591 | 9677|9764/9851|9937|4024 e 12 | 700 O111|0197,0284)037110457 | 0544|0630/071 7}0804|0890 13 0977|1064/1150|1237/1324 | 1410]1497|1583|1670|1757 14 1843|1930|2017|2103|2190 | 2276|2363)2450|2536)2623 i 15 2.709] 2795 | 2883) 2969/3056 | 3142}3229|3316/3402|3489 fs 16 3575)3662|3748]3835|3922 | 4008|/4095)4181|4268)4354 17 4441|4528| 461 4|4701|4787 | 4874|4960|5047|5133|5220 18 5307/5393|5480|5566/5653 | 5739/5826)5912|5999|6085 19 61721625816345'643216518 660% 6691'6778'6864'6951 Oe ee es 5 6 7 8 9Q 3 Diff | Dift & Mult Num. LOGARITHMS OF NUMBERS. 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B ae oe: 6.8 eS. 9 7470|7556|7643)77 29) 7816 8335|8421|8508|8594/8681 9199|9286|937 2\9459|9545 #064|0151]0237/0323\0410 0929|1015)1101/1188/1274 1793| 1879/1966) 2052/2138 2657|2743|2830/2916|3002 3521|3607|3694|3780| 3866 4385|4471 15% 4644|4730 5248/5334}5421|5507|5594 6112|6198/6284/6371|6457 6975}7061|7147|7234|7320 7838}7924|8010|8097|8183 8701|8787|8873)8960] 9046 9563} 9650|9736| 9822/9908 0426051 2|0598)0685|0771 1288) 1375|1461/1547| 1633 2151)2237|2323|2409| 2495 3013}3099|3185|3271/3357 3874/3961 |4047|4133|4219 4736} 4822|4909 4995|508 1 5598/5684/5770|5856|5942 6459|6545|6631/671 7/6804 7320|7406}7492|7579) 7665 8181/8267|8353!8440/8526 9042/91 28}9214|9300/9386 9903/9989]¢075)0161|0247 0763|0849|0935) 102 | 1107 1624|1710|1796| 1882} 1968 2484] 2570|2656]2742|2828 3344] 3430|35 16] 3602/3688 4204) 4290|4376| 446 1|4547 5063/5149|5235|5321|5407 5923}600g9|6095|618 1/6266 678 2|6868/6954|7040|71 26 7641)7727|7813)7899|7985 8500/8586|8672|8758/8844 9359/9445|9531|9617/9702 0218}0303}0389|0475/0561 1076] 1162/1248)1334 1419 1934} 2020]2106|2192|2278 2792| 2878] 2964|3050|3136 3650) 3736) 3822)3g08|3993 4508] 4594|4680|4765|4851 5366/5452|5537|5623/5709 6223/6309|/6395'6480|6566 7080|7166/7252/7338/7423 7938|8023/8109|8195|8280 8795|8880|8966/9052\9137 9651/9737/9823}9908] 9994 0508}0594|0679|0765|0850 1364} 1450|1536)1621|1707 2221/2306|2392|2477)| 2563 3077/3162/3248|3333|3419 3933) 4018/4104 4189] 4275 4788) 4874|4959|5045|5131 5644|5729|5815|5901!5986 6499|6585/6670|6756|684r 7355|7440)7526)761 1|7697 8210/8295/8381/8466/8552 ae, 0. 2y 8 9 | Dit Diff. 86 ho COU OOK wr we lo Con Maw wp 71 Diff. & Mult. 86 172 258 344 430 516 602 688 774 85 170 255 340 425 510 595 B80 765 Diff. & Mult. | COI OOw wh a Se) ra 72 LOGARITHMS OF NUMBERS. ra Num. 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LAZ 73d 4 9716\9800)9885|9969 0561/0645|0729|0814 1405) 1490) 1574|1659 2250/2334] 2419|2503 3094|3178|3263}3347 3938) 4023)4107|4191 478 2|4867| 4951/5035 5626/5710|5795|5879 6470|6554|6638)/6723 7313)7398|7482)|7566 8157/8241/8325|8410 go00|g9084|9168}9253 9843|9927|#011|0096 0686|0770|0854)0939 1528] 1613/1697|1781 2371|2455|2539|2624 3213}3298|3382|3466 4056|4140|4224|4308 4898) 4982|5066|5150 5655|5739|5824|5908 6497/6581 |6665|6750 7339|7423}7507|7591 8180/8 264|8348|8432 9021/9105|9189|9274 5992 6834 7675 8517 9358 * 9862 9946|+031 01 15|0199 1544|1628 2385| 2469 3225|3309 4065) 4149 4905/4989 5745/5829 6585|6669 7425|7509 8264/8348 9104/9187 * 9943|4027 714 0782/0866 1620/1704 2459|2543 3298/3381 4136/4220 49745058 5812/5896 6650/6734 7488)\7571 8325/8409 9162/9246 0837\0920 1674|1757 2510|2594 713 0703/0787/0871|0956| 1040 1712/1796/1880 2553|2637/2721 3393)3477|3561 4233|4317|4401 5073|5157|5241 5913)5997|6081 6753/6837\6921 7593/7677|7761 8432|8516|8600 9271|9355|9439 O110|0194|0278 0949|1033}1117 1788) 1872|1956 2527|2711|2795 3465|3549}3633 4304) 4387|4471 5142|5226/5309 5980/6063|6147 6817|6901|6985 7655}7739)7823 8493|8576|8660 9330|9414|9497 715 0000|0083|0167/0251/0335 1004}1088|1171 1841|1925|2008 2678)2761|2845 3347|3430|351 4|3598|3681 4183) 4267) 4350|4434|4518 5019|5103|5187|5270|/5354 5856|5939|6023|6106/6190 6691|6775|6859|6942|7026 7527|76 1 1|7694|7778|7861 8363)/8446|8530|8613|8697 9198!928219365!944919532 il 2 9 aA 10 =) Our? ¢054|/0138/0223 0898}0983) 1067 1743}1827| 1912 2587} 2672/2756 3432|3516)3601 4276|4360|4445 5120/5204|5289 5964/6048}6132 6807/6892|6976 765417755\7619 8494|8578|8663 9337|9421/9506 0180)0264/0349 1023/1107|1191 1865} 1950/2034 2708 | 2792/2876 3550|3634|3719 4392|4477|4561 5234|5319|5403 Steg |0307\0392 1152}1236 1996]2081 2841/2925 3685|3769 4529|4613 5373|5457 6217/6301 7060/7145 7904|7988 8747|8831 9990|9574 0433)0517 1276] 1360 2118|2202 3045 3887 4729 5571 2961 3803 4645 5487 6076/6160 6918}7002 7799|7843 8601/8685 9442|9526 6245 7086 7928 8769 9610 6329 7170 8012 8853 9694 6413 7254 8096 8937 9778 o451 0283|0367 0535)0619 1124/1208 1964] 2048 2805) 2889 3645/3729 4485} 4569 5325/5409 6165/6249 7005/7089 7845/7928 8684/8768 9523|9607 1460 2301 3141 3981 4821 5661 6501 7341 8180 g020 9859 1292|1376 Py RP IE DS ty 2.973|3057 3813}3897 4653|4737 9493)5577 6333)6417 7173|7257 8012/8096 8852/8936 9891197795 0362|0446|0530|0614 1201|1£285|1369}1453 2040|2124|2208)2291 2878} 2962|3046|3130 3717/3801|3884)/3968 4555} 4639}4723|4806 5393|5477|5561|5645 6231|6315|6399)6482 7069}7153)|7236)}7320 7906|7990|8074/8158 8744|8828/8911|8995 9581|9665!9749|9832 0418]0502/0586|0669 1255)1339|1423/1506 0698 1637 2375 3214 4o52 4890 5728 6566 7404 8241 9°79 9916 0753 1590 2092|2176 2929/3012 3765) 3849 4601|4685 5438|5521 6273/6357 7109/7193 7945|8029 8780|8864 9616'9699 5 6 2259)2343|2427 3096|3180)3263 3932|4016|4100 4769|4852| 4936 5605|5688/5772 6441|6524|6608 7276|7360|7444 8112/8196|8279 8948}9031/9115 978319866!9950 78 9 G Diff. 84 Diff. 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0660|0742 1484|1566|1648)1731 Ea Ta: | 4149 4973 5798 6623 7447 8271 9095 1401 2.225 3048)/3130}321 2/3295 3871|3953)|4036|4118 4694)4776|4858|4941 5517|5599|968 1/5763 6339)6421|6504/6586 7162|7244|7326|7408 7984|8066|81 48/8231 8806|8888/8971|9053 9628|9710/9792|9875 0450|0532)061 4/0696 1272}1354|1436)1518 2093|2175|2257|2340) 2422 2914] 2997|3079 3161/3243 3736) 3818]39q00|3982| 4064 4557|4639| 4721/4803) 4885 5378|5460|5542|5624|/5706 6198|6280/6362|6445 6527 7019|7101|7183)7265|7347 7839|7921|8c03|8086 8 167 8660|8742|8824/8906|8988 9480|9562| 9644/9726) 9808 0300|038210464|0546|0628 1120/1202|1283/1365|1447 1939|2021|2103/2185|2267 3086 7491 2759} 2841|2923)3005 3578|3660}3742|3824|3906 4397|4479|4561|4643|4725 5216|5298|5380|5462|5544 6035/61 17/6199 6281 6363 6854|6936)7018)7099|7181 967.2/7754|7836|79 #6 8000 8491|8573|/8655|8736 8818 9555/9636 0373|0454 TIgI|1272 2008) 2090 2826) 2908 3643|\3725 4461\4542 0945|1027|1 109 1763|1845|1927 2581|2662|2744 3398) 3480) 3562 4216|4297\4379 5033|5114/5196|5278|5360 5850|5931|6013 6095 6176 6667/6748 |6830\6912 6993 7483|7565)|7647|7728|7810 8300'8382!8463'854518626 1 2 3.4 o188 1013 1839 2664 3489 4314 5138 5963 6787 7529/7612 8353|8436 9177|9260 4001/0084 0825/0907 2307| 2389] 2472|2554 3377 4200 5023 5846 6668 8313 9135 9997 0779 1600 LOGARITHMS OF NUMBERS. SU Oh a Se Diff. 0270/0353)0435 1096|1178/1261 1921|2004 2746) 2829 3571|3654 4396|4479 5921/5303 6045/6125 6870}6952 7694|7777|7859 8518/8601 |8683 9424|9507 9342 0166 ag9go 1813 2636 3459 4282 7573 8395 9217 #039 o861 1682 2504 3325 4146 4967 5788 6609 7429 0248 1072 1895 3542 4365 5105/5188 5928/6010 6750 6833 OL21 0943 1765 3407 4228 5049 5870 6691 7511 2719 7655 8477 9299 2586 2086 2911 3736 4561 5386 6210 7035 7941 0331 1154 1978 2801 3624 4447 5270 6092 1237 2883 5352 6915 7737 855g 9382 0203 6997 8642 1025/1107 3489) 3571 4310|}4393 5131/5213 5952/6034 6773/6855 7593|7675 8250/8332/84 14/8496 9070 9890 0710 1529 2349 3168 3988 4807 5626 6445 7263 8082 8900 9718 0536 1354 2172 2989 3807 4624 5441 6258 7075 7892 8708 9972 0792 1611 2431 3250 4070 4889 5708 6526 7345 8164 8982 9800 0618 1436 2254 3071 3889 4700 5523 6340 7157 7973 8790 ie eOn det f 8 9152 92349316 ¢054/0136 0874|0956 1693|1779 2513)2595 3332/3414 4151|4233 4971|5052 5790/5871 6608/6690 7427|7509 8245/8327 9064|9146 9882/9964 0700/0782 1518}1599 2335|2417 3153}3235 3970] 4052 4788) 4869 5605|5686 6422\6503 7238/7320 8055/8137 887118953 8765 9989 0413}0495 0518)0600 11343|1426 2169)2251 2994 3819|3901 4644|4726 5468|5551 62936375 7117|7200 3076 8024 §848 9672 1319 2060}2142 2966 3706|3789 4529 4612 5434 6175|6257 7°79 7520/7902 8724 946419546 0286/0368 1189 1847|1929|2011 2668|2750}2832 3654 4475 5296 6116 6937 ed 8578 398 aes 1038 1857 2677 3496 4315 5134 5953 6772 7591 8409 9227 #045 0863 1681 2499 3316 4134 4951 5768 6585 7402 8218 9035 9 82 Diff. 75 Diff. & Mult. 83 166 249 332 415 498 581 664 TA. lo Con ODUdX wn | lo Cu AOR wn # 81 162 243 324 405 486 567 648 729 Diff. & Mult. Ov Hob wn - Se) 176 we . «se Num. Oa. 102) tS. 4 Ba... Gah. een lee Diff. | Diff. & Mult, | 5320 1725 9116/9198 9280) 9361/9443 | 9524|9606| 96889769 9851 . 21 * 9933|¢014/0096)0177/0259 | 0341/0422)0504/0585 0667 22 | 726 0749 0830)0912/0994|1075 | 1157|1238|1320]1401}1483 23 1565|1646|1728!180g)1891 | 1973|2054)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 26 401 2|4093|4175|4256|4338 | 4419|4501|4582 466414745 27 4827|4908|4990|5072/5153 | 5235/5316)5398|5479 5561 28 5642|5724|5805|5887|5968 | 6050/6131/6213|6294/6376 29 6457|6539|6620|6702/6783 | 6865/6946)7028/7 1109/7191 I a : 53 30 7272|7354|7435|7517|7598 | 7679|7761|7842!7924|8005 3 ae 31 8087|/8168/8250/833 1/8413 | 8494|8576|8657/8739|8820 41338 32 8901|8983)\9064|9146|9227 | 9309|9390|947219553/9634 5 | tie 33 | * 971619797|9879\9950|¢042 | 0123/0204/0286|0367|0449 6 | 492 34 | 727 0530}0612}0693)0774)0856 | 0937|1019|/1100]1181|1263 7 | 594 35 1344|1426)1507|1588]1670 | 1751|1833]1g14|1995|2077 8 | 656 36 2.158)2240|2321)2402/2484 | 2565}2647|/2728|2809| 2891 9 | 738 a 2.972/3053|3135|3216)3298 | 3379|3460)3542|3623/3704 38 3786|3867|3948|4030/4111 | 4192|4274|4355|4437|4518 39 4599) 468114762) 4843/4925 | 5006/5087|5169|5250)5331 53 40 5413)5494|5575|5657|5738 | 5819/5901|5982|6063)/6144 4I 6226/6307|6388/6470|6551 | 6632\6714/6795|6876)6958 42 7039}7120|7201|7283/7364 | 7445}7527|7608|7689|7770 43 7852|7933|8014|8096|8177 | 8258/8339|8421|8502|8583 44 8664|8746|8827|8gu8/8990 | 9071/9152}9233)9315)9396 4) * 9477|9558|9640/9721|9802 | 9883/9965|¢046)01 27/0208 46 | 728 0290|0371|0452|0533|0614 | 0696|0777|0858|09g39|1021 47 1102|1183/1264|1346|1427 | 1508/158g]1670}1752|1833 48 I914]1995)2076| 21582239 | 2320|2401}2482}2564)2645 49 2726/2807} 2888] 2970|3051 | 3132)3213|3294|3375|3457 350 3538) 3619|3700|3781|3863 | 3944'4025|4106|4187|4268 5r 4350|4431)4512|4593|4674 | 4755|4836|4918|4999|5080 52 5161|5242/5323/5404)5486 | 5567/5648)5729|5810|5891 53 5972|6054|6135|6216|6297 | 6378/6459|6540/6621/6703 54 6784/6865|6946|7027|7108 | 7189)7270/7351)7433)7514 55 7595|7676|7757|7838|7919 | 8000|8081/8162/8244|8325 56 8406|8487|8568|8649|/8730 | 8811|8892)8973|9054}9135 57 9216|9298)9379|9460\9541 | 9622/9703|9784|9865|9946 58 | 729 0027|0108]0189}0270|0351 | 0432|0513/0594|0675|0757 59 0835}091g9} 1000] 1081}1162 | 1243)1324|1405|1486|1567 53 60 1648}1729|1810|1891|1972 | 2053/2134|2215|2296/2377 61 2458) 2539] 2620/2701/2782 | 2863/2944|3025|3106|3187 81. 62 3268) 3349)3430]3511|35g2 | 3673)3754|3835|3916/3997 63 4078) 4159|4240|4321|4402 | 4483|4564|4645|4726| 4807 I 64 4888] 4969|/5050|5131/5212 | 5292/5373|5454)5535)5616 3 65 5697|5778|5859|5940\6021 | 6102/6183)6264|6345/6426 4 66 6507/6588 |6669/6749/6830 | 6911/6992}7073)7154|7235 5 67 7316|7397|7478|7559|7640 | 772117801/7882|7963|8044 6 68 §125/8206|8287|8368|8449 | 8530|8610/8691/8772/8853 7 69 8934]9015)}9096|9177|/9258 | 9338)9419/9500/9581|g662 8 5370 | * 9743)9824|9905|9985|4066 | 0147\0228|0309|0390!0471 9 71 | 730 0552|0632)0713}0794)0875 0956)1037|1118)1198| 1279 72 1360}1441|1522/1603/1683 | 1764|1845 1926) 2007| 2088 73 2168) 2249]2330)2411}2492 | 2573)/2653|2734|2815|2896 q4 2977|3057|3138)3219}3300 | 3381|3461|3542|3623|3704 ri 3785|3865)3946)4027|4108 | 4189|4269 4350|4431|4512 76 4593|4673|4754|4835)\4916 | 4997\5077|5158}5239|5320 ei, 5400|5481|5562|5643\5723 | 5804/5885 5966)/6046|6127 78 6208/6289/6369)6450 6531 | 6612/6692/6773:6854|6935 79 7015!7096'7177'17258'7338 | 7419!7500'75811766117742 0 Daze ce at Diff. LOGARITHMS OF NUMBERS. Bie 61,407 ohana Diff. & Mult, | LOGARITHMS OF NUMBERS. at's Be 730 7823)7903)7984 8630,8711/8791 * 9437/9518/9598 731 0244/0324}0405 TOS \I13L/1212 1857| 1938/2018 2663) 2744|2825 3470|3550|3631 4276) 435614437 5082|5162|5243 5888|5968|6049 3.4 8065/8146 8872/8953 96799760 0486)0567 1292|1373 2099/2180 2903) 2986 3712/3792 4518] 4598 5324\5404 6129/6210 Sy .G6 827 .71-8 29 8226 8307/8388)|8468 8549 9033/91 14/919519276/9356 9840|9921)¢002}0082/0163 0647|0728 vere 0889|0970 1454| 1534) 1615|1696)1776 2260) 2341|2422|2502|2583 3067) 3147|3228)3309|3389 3873)3953| 4034) 4115)4195 4679 eee 4840) 4921|5001 5485|5565|/5646/5727|5807 6291/6371|6452/6532/6613 6693/6774/6854|6935|7016 7499|7979 830418385 GIOgigI gy * 991419995 732 0719|0800 1524) 1605 2329) 2409 3133|3214 3938} 4018 4742|4829 5546|5626 6350|6430 7153)7234 7997/8037 8760/8841 * 9564/9644 733 0367/0447 1170/1250 1973|2053 2775) 2856 3578} 3658 4380| 4461 5183/5263 5985/6065 6787|6867 7660|7740|7821 8465|8546|8626 9270/9351 |9431 ¢075|01 56/0236 0880)0961 | 1041 1685/1 766|1846 2490| 2570/2651 3294/3375|3455 4098)}4179)4259 4903) 4983|5063 5707|5787|5867 6510|6591|6671 7314|7394|7475 8118/8198|8278 8921|g001|g082 9724|9805}9885 0527|0608/0688 1330/141 1/1491 2133)2213)2294 2936|3016| 3096 3738) 3819] 3899 4541|4621|4701 5343)5423|5503 6145|6225|6305 6947|7027|7107 7096|7177|7257|7338)7418 7902/7982 8707/8787 9512/9592 0317|0397 8063/8143/8224 8868/8948)9029 9673|9753|9834 0478}0558|0639 1122/1202|1283/1363|1444 1927|2007| 2087|2168|2248 2731)|2812)2892|2972|3053 3535} 3616) 3696/3777|3857 4340| 4420) 4501|4581| 4661 5144|5224|5305|5385|5465 5948|6028/6109|6189 Sie 6752|6832/6912 7555|7636/7716 8359|8439|8519 9162/9242|9323 9965} +046)01 26 6993|707 7799|7877 8600/8680 9403|9483 0206/0287 0768|0849|0929) 1009} 1090 1571|1652|1732/181 2/1892 2374] 2454| 2535] 2615] 2695 3177|3257 3979/4059 4781/4862 5584/5664 6386/6466 7187/7268 3337|3417|3498 4140|4220|4300 4942|5022|5102 5744|5824|5904 6546|6626/6706 7348|7428|7508 7988) 7669/7749 8390|8470|8550 9192|9272/9352 * 9993|¢073|0153 734 0794|0874|0954 1595} 1675)1755 2396) 2476) 2556 3197|3277|3357 3997|4077|4158 7829|7909 8630|8711 9432/9512 0233/0313 1034/1115 1835/1916 2636/2716 3437!3517 4238)4318 4798| 4878 5598/5678 6398|6478 7198/7278 79988078 8798/8878 * 9598/9678 4958 |5038)5118 5758/5838 |5918 6558|6638|6718 7358/7438|7518 8158/8238/8318 8958 |9038)9118 9758|9837|9917 735 0397|0477|0557|0637|0717 1196 1276 1356) 1436) 1516 1995, 2075|2155/2235)2315 2794 2874|2954|3034|3114 3593 3673 3753/3833) 3913 4392|4472 4552|4632| 4711 5191 52705350 5430/5510 Cand 2 3 4 7989|8069|8150)8230|8310 8791|8871|8951|9031/9111 9592|9672|9752/9833|9913 0393|0474|0554|0634|0714 1195/1275|/1355|1435|1515 1996) 2076} 2156) 2236) 2316 2796| 2877|2957|3037/3117 3597|3677|3757|3837|3917 4398| 4478)}4558|4638|4718 5198|5278)5358)5438)/5518 5998/6078 |6158)6238/6318 6798/6878 |6958|7038/7118 7598|7678/7758)|7838/7918 8398|8478/8558/8638/8718 9198|9278|9358'9438|9518 9997|#077|0157|0237\0317 0797|0877|0957/1036|1116 1596) 1676| 1756/1836) 1916 2395} 2475|2555|2635]2715 3194|3274)3354}3434/3513 3993) 4073|4152|4232|4312 4791|4871)4951|5031/5111 559015670'5749'5829 5909 nd Orornduiiss: O Diff. 80 Diff. G* Diff. & Mult. lo COI OOH Wb OO CO~TI MOB Wb Or OO wb - Se) 77 81 162 243 324 405 486 567 648 729 80 160 240 320 400 480 560 640 720 7 15 237 316 395 474 553 632 711 Diff. & Mult. 78 LOGARITHMS OF NUMBERS. Num. OMSL 2 3 “y4 5 6 7 8 9 | Dif. | Dif. & Mult | 5440 |'735 5989|6069|61 49/62 28/6308 | 6388/6468|6548 |6628)6707 e Al 6787|6867|6947|7027|7107 | 7186|7266|7346|7426)7506 42 7585|7665)7745|7825/7905 | 7984)8064|8144|8224|/8304 43 8383/8463|8543|8623/8702 | 8782|8862\8942|\9022/9101 44 9181|9261|9341|9420|9500 | 9580)9660|/9740/9819|9899 45 * 9979|¢059|0138|0218|0298 0378|0457|0537|061 7/0697 46 | 736 0776|0856|0936}1016|1095 | 1175}1255)1335}1414)1494 47 1574|1653|1733]1813]1893 | 1972|2052|2132|/2212/2291 48 2371/2451|2530|2610| 2690 | 2770|2849|2929|3009/3088 49 316813248|3327|3407|3487 | 3567|/3646)3726|3806/3885 1 | -Somn 5450 | 3965|4045|4124|4204|4284 | 436314443/4523|4602|4682 3 | ae aI 4762|4841|4921|5001|5080 | 5160/5240|5319|5399|5479 4+ 3a 52 5558)5638|5718|5797|5877 | 5957|6036)/61 16|6196/6275 5 | ded 53 6355|6435|6514|6594|6674 | 6753|6833|691 2\6992|7072 6 | 480 54 7151|7231|7311/7390|7470 | 7549|7629|7709|7788|7868 7 | 56g ) 55 7948|8027|8107/8186/8266 | 8346 8425|8505|8584|8664 8 | 640 . 56 8744|8823/8903|8982|9062 9142|9221|9301|9380 9460 9 | 720 57 | * 9540|9619!9699|9778|9858 | 9937|#017|0097\0176|0256 58 | 737 0335|0415}0494/0574|0654 | 0733/0813|0892\0972|1051 59 1131}1210)1290|1370|1449 | 1529)1608}1688)1767| 1847 54 60 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|4471|4550|4630 | 4709|4789|4868|4948|5027 64 5107|5186|/5266/5345}5425 | 5504|5584|5663/5743| 5822 65 5902/5981|6061|6140|6220 | 6299/6378|6458/6537/6617 66 6696|6776|6855|6935|7014 | 7094|7173)7252|7332|7411 67 7491|7570|7650|7729|7808 | 7888]}7967|8047|81 26/8206 68 8285|8364/8444|8523/8603 | 8682|8762|/8841|8920|g000 69 9079|9159|9238!9317|9397 | 9476|9556|9635|9714|9794 5470 | * 9873]9953|4032/o111/or191 | 0270|0350|0429|0508/0588 71 | 738 0667|0747|0826j0905)0985 | 1064}1143|1223/1302|1382 72 1461|1540|1620]1699|1778 | 1858|1937|2016)2096/2175 73 2.254)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 7 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 54 80 7806|7885|7964|8043/8123 | 8202|8281|8360|/8440/8519 m 81 8598|8677|8756/8836)8915 | 8994|9073/9153/9232\9311 | 82 | * 9390|9470|9549|9628|9707 | 9786|9866|9945|¢024/o103 | 83 | 739 0182|0262/0341|0420|0499 | 0578|0658]0737|0816|0895 ; p fe 84 0974)1054)1133|1212/1294 | 1370]1450]}1529/1608) 1687 3 037 i 85 1766] 1845|1925}2004]2083 | 2162/2241]2321|2400)2479 4 | 316 86 2558} 2637)2716)2796}2875 | 2954]/3033|/3112/3191/3270 5 395 mi 87 3350/3429] 3508) 3587/3666 | 3745|3824|3904|3983! 4062 6 | 474 | 88 4141|4220|4299|4378|4458 | 4537|4616|4695/4774|4853 7 | 553 89 4932\5011|5091|5170|/5249 | 5328|5407|/5486)5565)5644 8 | 632 | 54 go 5723|5803}5882|5961/6040 | 6119|6198]6277|6356|6435 9 | 7 gI 651 4|6594|6673|6752|6831 | 6910/6989|7068)7147|}7226 | 92 7305|7384|7463|7543|7622 | 7701/7780|7859|7938|8017 oll 93 8096/8 175/8254/8333|8412 | 8491|8570|8649|8728/8808 ™ 94 8887|8966) 9045/91 24\9203 | 928219361/9440\9519|9598 95 | * 9677\9756|9835|991419993 | ¢072\0151\0230\0309|0388 vi 99 | 740 2469 2546 2625 ee 2733 0862|0941|1020 pa 1178 i 97 1257|1336)1415|1494|1573 | 1652|1731|1810|1889}1968 \ 98 2047|2126)2205)2284|2363 | 2442|2521|2600]2679!2758 99 2837|2916|29951307413153 | 3232/3311|3390|3469'3548 al Num 0.1,2,.8. 4. 5-6. 7% 8. 9 LDif | Dit. me Num. 5500 |'740 3627|3706|3785|3864|3943 or LOGARITHMS OF NUMBERS. Oy 1-2 3. 4 4416|4495|4574| 4653/4732 5206|5285/5364/5443)5522 5995|6074|/6153/6232|/6311 6784/6863|6942|7021/7100 7573|7652!7731|7810|7889 8362/8441 |8520|8599/8678 9151|9230|9308|9387/9466 9939|#018}0097/0176}0255 0728/0807|0885|0964) 1043 1516) 1595] 1674|1752/1831 2304] 2383) 2462/2541] 2619 3092|3171|3250|3328/3407 3880|3959|4037|4116/4195 4668) 4746/4825) 4904/4983 5455|5534|5613/5691|5770 6243|6321|6400|6479|6557 7030|7109|7187|7266/7345 .7817|7896/7974|8053|8132 8604|8683/8761|8840/8919 * 9391|9469|9548) 9627/9705 742 0177|0256|0335}0413}0492 0964} 1043}1121|1200]1279 1750|1829}1908| 1986) 2065 2537|2615) 2694) 2773/2851 3323)/3401|3480| 3559/3637 4109]4187|4266}4345| 4423 4895|4973|5052|5130|5209 5680/5759/5837}5916/5995 6466/6544|6623|6702/6780 7251|7330/7408)7487|7565 8037/81 15|8194|8272/8351 8822|8900|8979|9057|9136 * 9607|9685|9764|9842|9921 743 0392|0470|0549|0627|0705 1176) 1255/1333} 1412/1490 1961|2039|2118| 2196/2275 2745|2824}2902|2981|3059 35303608) 3686|3765|3843 4314) 4392|4470|4549|4627 5098|5176|5254/5333/5411 5882|5960/6038/61 17/6195 6665/6744|68 22|6900/6979 7449|7527|7605|7684|7762 8232/8311|8389|8467|8546 9016)9094/9172|9250|9329 * 9799|9877/9955|¢034)o112 744 0582|0660|0738}08 17/0895 1365)|1443|1521 1599|1678 2147|2226|2304}2382|2460 2930/3008} 3086) 3165|3243 3712|3791|3869|3947|4025 4495| 4573) 4651|4729| 4807 5277)5355|5433|5511 5590 6059)6137|6215|6293|6372 68.41/6919|6997|7075|7153 762.2|770117779|7857|7935 8404|848 2/8560|8638 ie 9185|9264]9342|9420|9498 * 9967\4¢045!0123!0201 0279 OG A re eee & Gee 88 19 4022|4101|4180/4259|4338 4811|4890|4969| 5048/5127 5601|5679|5758/5837| 5916 6390|6469|6548 6626/6705 7179|7258/7337|7415|}7494 7968|8047|81 25/8204 8283 8756|8835|891 4|8993|9072 9545|9624|9703|978 2/9860 0334|0412|0491|0570|0649 1122/1201/1280|1358|1437 1910/1989] 2068) 2146) 2225 2698] 2777/2856] 29353013 3486|3565|3644/3722) 3801 4274) 4353|4431|4510|4589 5061/51 40/5219/5298|5376 5849|5928|6006/6085/6164 6636/67 15|6794|6872|6951 7423)|7502|7581|7660)7738 8210|8289/8368/8447|8525 8997|9076|9155|9233|9312 9784|9863|994 1 |¢020}0099 0571|0649|0728|0807|0885 1357|1436)1515|1593|1672 2144} 2222|2301}2379) 2458 2930|3008|3087/3166)3244 3716|3794|3873|3952|4030 4502/4580] 4659|4737| 4816 5288|5366)5445|5523|5602 6073/61 52|6230|6309|6387 6859|6937/7016|7094/7173 7644|7722|7801/7880/7958 8429|8508|8586|8665/8743 9214|9293|9371 9999|¢078}0156 0784|0862|0941 1569}1647|1725 2353)2431|2510 3137|3216)3294 3922|4000| 4078 9450|9528 0235|0313 1019/1098 1804|1882 2588) 2667 3373|3451 4157|4235 4706) 4784|4862|4941|5019 5490}5568}5646|5725|5803 6273|6352|6430/6508|6587 7057|7135|7214|7292|7370 7841|7919|7997|8076|8154 8624/8702|8781/8859|8937 9407|9485|9564| 9642/9720 0190|0268|0347|04 250503 0973|1051|1130|1208}1286 1756|1834|1912| 1991/2069 253g9}2617|2695/ 2773) 2852 3321|3399|3478| 3556/3634 4103|4182|4260| 4338/4416 4886|4964|5042)5120/5199 5668|5746|5824|5902|5981 6450|6528|6606 7932|7310/7388 8013|8091|8170 8795|8873/8951 9576|9654/9732 0357!0435!0514 of 6. .°°7 6684/6762 7466|7544 8248/8326 9029|9107 9810/9889 059210670 Se a9 Diff. Diff. lo OMI ANH wp Be ~— X 719 Diff. & Mult. OO OY MAWwnhd w @) Diff. & Mult. “80 Num. 0 1 2 3 4 5560 | '745 0748 0826|0904|0982|1060 61 1529|1607|1685| 1763/1841 62 2310) 2388) 2466) 2544|2622 63 3091|3169)3247|3325|3403 64 3871/3949] 4027|4105/4183 65 4652) 4730] 4808) 4886| 4964 66 5432)5510|5588|5666/5744 67 6212/6290/6368)/6446/6524 68 6992/7070|71 48|7226/7304 69 7772|7850|7928|8006/8084 55 70 8552|8630|8708)/8786/8864 71 | * 9332/9410|9487|9565\9643 72 | 746 o111\|0189|0267/0345}0423 73 0890|0968) 1046/1 1424/1202 74 1670/1748} 1825|1903|1981 75 2449} 2527| 2605) 26822760. 76 3228/3306} 3383/3461 |353g va 4006! 4084) 4162|4240|4318 78 4785 | 4863] 4941|5019|5097 79 5564|5641|5719|5797|5875 55 80 6342|6420/6498|6575|6653 81 7120/7198|7276|7354|7431 82 7898/7976|8054|8132|8210 83 8676/8754|8832|8910/8987 84} * 9454/9532|9610/9687/9765 85 | 747 0232/0310/0387|0465|0543 86 1009} 1087] 1165) 1243/1320 87 1787/1864) 1942|2020|2098 88 2564) 2642]2719|2797|2875 89 3341/3419}3497|3574|3652 55 go 4118] 4196|4273| 4351/4429 gI 4895|4973}5050/51 28/5206 92 5672|5749|5827/5905|5982 93 6448|6526|6603/668 1 6759 94 7225|7302|7380|7458)}7535 95 8001/8079|8156/8234/8311 96 8777|8855|8932|9010|9087 97 | *_ 9553)963119708/9786|9863 98 | 748 sie’ 0407|0484|0562|0639 99 1109|1182/1260|1337|1415 56 00 1880|1958|2035|2113)2190 OI 2656) 2733} 281 1| 2888/2966 02 3431}3509|3586|3664|3741 03 4206|4284|4361|4439|4516 04 4981|5059|5136|/521 4/5291 05 5756)/5834| 591 1|5989|6066 06 6531|6608/6686|6763|/6841 07 7306|7383)7460|7538)7615 08 8080|8157|8235/8312|8390 09 8854|8932|9009|9087|\9164 5610 | * 9629)9706/9783|9861\9938 II | 749 0403)0480|0557|0635/0712 12 1177|1254|1331|1409|1486 13 1950) 2028] 2105|2183|2260 14 2724|2801|2879|2956|3034 ° 15 3498|3575|3652 ae 16 427114348] 4426|4503!4580 17 5044/5122|/5199|5276/5353 18 5817|5895/5972/6049 6127 19 6590 6668!674516822 6899 Num Qa Lege S.A LOGARITHMS OF NUMBERS. Sr Br 8 eo 1138(1217|1295|1373|1451 1919] 1998] 2076) 2154] 2232 2700) 2778] 2856) 29343013 3481|3559|3637|3715|3793 4261|4340|4418)4496| 4574 5042|5120|5198/5276|5354 5822|5900|5978|6056|/6134 6602}6680|6758/6836|6914 7382|7460|7538|7616|7694 8162/8240/8318|8396|8474 8942|9020/9098| 9176/9254 9721|9799|9877|9955| #033 0501/0579|0657|0735|0813 1280) 1358]1436)1514)1592 2059} 2137}2215/2293|2371 2838] 2916|2994|3072/3150 361 7|3695|3773|3851|3929 4396|4474|4552| 4629/4707 5174|5252|5330/5408|5486 5953|6031|6108/6186|6264 6731/6809|6887|6965|7042 7509|7587|7665|7743/7821 8287/8365|8443/8521 |8598 9065|9143/9221/9299/9376 9843|9921|9998|4076)0154 0621|0698|0776|0854}0932 1398] 1476}1554|1631|1709 21752253) 2331) 2409) 2486 2953}/3030}3108}3186|3263 3730|3807|3885)]3963) 4040 4507)|4584|4662|4740|4817 §283}5361|5439|5516)5594 6060/6138)/6215)6293|6371 6836|691 4|6992|7069/7147 7613|7690|7768|7846/7923 8389|8467|8544|8622|869 9165}9243}9320|9398 aye 9941} #019|0096|0174)0251 0717}0794}0872)0950| 1027 1492|1570}1648)}1725]1803 2268} 2346|2423|2501|2578 3043)3121]3198|}3276|3354 3819} 3896|3974|4 51/4129 4594) 467114749] 4826|4904 5369}5446/5524/5601|5679 6144|6221|6299|6376/6453 6918}6996}7073)7151|7228 7693|7770|7848|7925|8003 8467|8545|8622/8700|8777 9242|9319|9396|9474]9551 #016]0093/0170|0248|0325 0790|0867/0944|1022 1099 1564|1641|1718}1796|1873 2337|2415|2492|2569|2647 311113188} 3266| 3343/3420 3884) 3962| 4039) 4116]4194 4658}4735)|481 2|4890|4967 6204/6281 |6358|6436/6513 6977'7054171311720917286 LP Per 5431|5508|5585|5663|5740— J oOo Diff. pitt. | Diff. & Mult lo Cr HAorhowb lo CI HOR whp COU AOhRwh ~ [XO 0 749 7363)/7440\7518 8136 8908 * 9681 750 0453 1225 1997 2764 3541 4312 LOGARITHMS OF NUMBERS. a Pree > 4 \222° 7672 8213/8290/8368|8445 8986) 9063) 91 40|9217 9758|9835|9913\9990 0530|0608]0685/0762 1302} 1380|1457}1534 2074} 2152/2229) 2306 2846/ 2924|3001|3078 3618|3695|377213850 4390) 4467|4544|4621 5084|5161 5855/5932 6626/6704 5238|5315)5392 6010|6087|6164 '6781/6858|6935 e. 6 7750|7827 8522/8599 9295/9372 0607/0144 0839)0916 1611/1688 2383} 2460 3155/3232 3927|4004 4698}4775 5470|5547 624116318 7012/7089 Th wa 7904/7981|8059 8677/8754|8831 9449|9526}9604 0221/0299|0376 0994/1071|1148' 1766] 1843}1920 25382615) 2692 3309)3387)3464 4081|4158}4235 4853|4930|5007 5624|5701|5778 6395|6472|6549 7166/7243|7320 Diff. 81 Diff. & Mult. § 7398|7475| 7552!7629|7706 8168/8246) 8323|8400/8477 8939|9016| 9093|9170|9247 * 9710|9787/9864|9941|¢018 791 0480}0557|0634|071 1}0789 1251/1328|1405}1482 1559 2021}2098] 2175|2252|2329 | 783|7860|7937|801 4/8091 8554|8631/8708|8785|8862 9325) 9402/9479] 9556| 9633 0095}0172/0249/0326|0403 0866/0943) 1020)1097|1174 1636]1713]1790|1867|1944 2406] 2483} 2560|2637|2714 3176)3253)3330|3407|3484 3946|4023|4100|4177|4254 4716|4793|4870|4947|5024 5485|5562}5639/5716|5793 6255|6332|6409/6486|6563 7024|7101/71'78|7255|7332 7793|7870|7947|8024|8101 8562|8639|8716|/8793|8870 93319408) 9485/9562|9639 O100|0177|0254|0331\0408 08690946 1099/1176 1637}1714 1868/1945 2406|2483) 2559] 2636/2713 3174|3251/3328}3404)3481 OO ON AAD Wh Go (oo) nr 2791) 2868 | 2945/3022|3099 35613638) 3715|3792/3869 4331} 4408] 4485] 4562|4639 5101|5177|5254|5331|5408 5870|5947/6024|6101|6178 6639|6716|6793|6870/6947 7409|7486| 7563}7639|7716 8178/8255/8332|8409/8485 8947|9024/9101|9178|9254 * 9716|9793/ 9870/9946) +023 752 0484}0561}0638|0715|}0792 1253] 1330] 1407|1484| 1560 2022/2098 | 2175/2252/2329 2790) 2867] 2944|3020|3097 77 1023 1791 3558} 3635 4326) 4403 5094/5171 5862/5939 6629/6706 3712/3788|3865 4480) 4556| 4633 5248|5324|5401 6015/6092|6169 6783|6860|6936 3942|4019| 4096 4710|4787|4864 5478|5555)5631 6246)6322|/6399 7013}7090|7167 4172|4249 4940|5017 5708|5785 6476/6553 7243!7320 8011/8088 8778/8855 7781|7857|7934 8548/8625) 8701 9315|9392|9469/9545/9622 0082)0159/0236/0312|0389 0849/0926) 1002/1079] 1156 1616) 1692)|1769/1846; 1922 2382) 2459) 2536 2689 3149|3226|3302 3455 3915 |3992|4069 4222 4682|4758|4835 4988 5448/5524) 5601 5754 6214)6290|6367|6443|6520 6979|7056|7133)7209|7286 7745/78 22)7898)7975/8051 851 1|8587|8664|8740|8817 9276/9353 )9429|9506'9582 #041/0118/0194|0271|0347 0806 0883|0959) 1036) 1112 7397|7474| 7550|762717704 8164|8241|8318|8394|8471 8932|9008!9085|9162|9238 * 9699|9775|9852)/9929/4005 793 0466}0542|0619|0696|0772 1232|1309|1386/1462)1539 1999] 2076] 2152)2229|2306 2766) 2842] 2919] 2996/3072 ~» 3532|3609|3685|3762|3839 4298) 4375| 4452|4528|4605 §065|5141/5218|5294|5371 5831/5907 5984|6060/6137 6596|6673/6750/68 26/6903 7362)/7439)7515|7592|7668 8128)/8204/8281|8357|/8434 8893)/8970|9046|91 23/9199 *# 9659/9735|981 21988810065 754 0424|0500|0577 2653 P30 2612 3379 4145 4911 5677 OO OWI OOD wn w Co [e) 1189) 1265/1342|1418)1495 1954| 2030/2107|2183|2260 2719!2795!2872/ 294813025 a | 2 3 4 1] 9 1571|1648|1724 23362413) 2489 310113178 3254 a 1801|1877 2566) 2642 3330|3407 Be D Diff. Diff. & Mult. 0) S iee 82 LOGARITHMS OF NUMBERS. Num. Dad BRB. 4 5 6 +7 -8 9 | Dif, | Die Mae 5680 | 754 3483)3560)3636|3713)3789 | 3866|3942|4019\4095|4171 oe 81 4248|43241440114477|4554 | 4630|4707|4783|4859|4936 82 501 2|5089/5165|5242|5318 304 5471|5547|5624|5700 $ 83 5777|5853]5929|6006|6082 | 6159/6235/6311|6388|6464 84 6541|6617|6694|6770|6846 | 6923|6999|7076|7152|7228 85 73051738 117457|7534|7610 | 7687)7763|7839|7916|7992 86 8069/81 45]8221/8298|8374 8450|8527/8603|8680/8756 87 8832|8909|8985!9061/9138 | 9214/9290/9367|9443/9520 88 | * 9596/9672/9749/9825|9901 | 9978|+054|0130}0207}0283 89 | 755 0359|0436]0512|0588)0665 | 0741}0817 0894)0970| 1046 I 77 56 go 1123|1199}1275|1352|1428 | 1504/1581/1657|1733) 1810 3 a | gI 1886] 1962|2038]2115/2191 | 2267)2344)2420|2496)2573 4 | 308 92 2649] 2725|2802|2878/2954 | 3030|3107/3183)3259)3336 5 | 385 93 341 2|3488]3564|364113717 | 3793/3870) 3946/4022) 4098 6 ) JOR 94 417514251|4327|4403|4480 | 4556|4632|4709|4785|4861 7 | 539. 95 4937|5014|50g0|5166|5242 | 5319/5395|5471|5547|5624 8 | 616 | 96 5700|5776|5852|5929 6005 | 6081/6157/6233/6310/6386 9 | 693 : 97 6462|6538/6615|6691|6767 | 6843/6920\6996/7072|7148 “ae 98 7224|7301|7377|7493/7529 | 7606}7682/7758!7834/7910 99 7987|8063)8139/8215|8291 | 8368/8444|8520)8596/8672 | 57 00 8749|8825|8901'8977/9053 | 9130/9206|9282|/9358)/ 9434 Me or | * 9510/9587}9663|9739/9815 | 9891|9967|4044)/01 20)0196 | 02 | 756 0272|0348|0424|0501|0577 | 0653|/0729|/0805|0881}0958 | 03 1034]1110}1186)1262}1338 | 1414)1491|1567|1643|1719 o4 1795|1871|1947|2024]2100 } 2176)2252)2328)2404/2480 05 2556|2633)2709/2785|2861 | 2937|3013|3089/3165|3242 ; | 06 3318}3394|3470|3546|3622 | 3698|3774)3850/3927|4003 a 07 4079|4155|4231|4307|4383 | 4459)}4535|461 1|4687|4764 08 4840|4916)4992|5068/5144 | 5220/5296/5372|5448/5524 | 09 5600|5677|5753/5829|5905 | 5981|6057/6133/6209,6285 | 57 10 6361|6437|6513)}6589|/6665 | 6741|6817|6893|6970/7046 a II 7122|7198|7274|7350|7426 | 7502|7578|7654)7730)7806 12 7882|7998|/8034/8110)8186 | 8262/8338/8414/8490|8566 13 8642/87 18|/8794|8870/8946 | 9022/9098|9174/9250/9326 14} * 9402|9478|9554|9630|9706 | 9782/9858/9934|¢o10}0086 | 76 15 | 757 0162|0238]0314/0390|0466 | 0542)0618|0694 077010846 16 0922/0998|1074|1150)1226 | 1302]1378)1454|1530|1606 17 . 1682]1758)/1834} 1910] 1986 | 2062/2138)2214/2290)2366 18 2442|2517|2593|2669|2745 | 2821|2897|2973|3049|3125 19 3201|3277/3353|3429)3505 | 3581|3657/3733)/3808/3884 57 20 3960/4036)4112|4188/4264 | 4340)|4416|4492|4568| 4644 ., 21 4719|4795|487114947|5023 | 5099)5175|5251}5327|/5403 22 5479|5554|5630|5706/5782 | 5858)5934|60r0 6086/6162 23 6237|6313}6389/6465/6541 | 6617/6693 6769|6845 6920 1 | 7m 24 6996|7072/7148|7224|7300 | 7376/7451|7527|7603)|7679 3 a 25 7755|7831/7907/7982|8058 | 8134/8210/8286/8362|8438 4 | 304 26 8513|8589|8665/8741|8817 | 8893)8968)/9044|91 20/9196 5 | 380. 27 9272|9348)9423/9499|9575 | 9651/9727/9803|9878|9954 6 | 456 28 | 758 0030/0106/0182|0258/0333 | 0409/0485}0561|0637\0712 "4 | 539 29 0788/0864}0940/1016)1091 | 1167/1243)1319}1395|1470 8 | 608 57 30 1546) 1622|1698|1774|1849 | 1925)2001/2077/2153)2228 9 | 684 3I 2.304}2380|2456|2531|}2607 | 2683/2759|2835|2910|2986 33 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 36 6091|6167/6243 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 | —-8362184381851.4/858918665 | 874118816188921896819043 Num se: § 5.16 wl eo ae Diff. | Diff. & Mult. Num. DPOGMHITHMS? Of NUM BERS’. On x 2 3 4 5740 | 758 91 19 9195|9270|9346)9422 * 987 759 0632|0708|0783)0859)0934 9951} #027/0102/0178 1388) 1464) 1539|1615| 1691 2144} 2220) 2296) 2371/2447 2900} 2976! 305 2/3127)3203 3656|3732|3807|3883|3959 441 2|4488) 4563) 4639|4714 5168|5243/5319!5394/5470 5923|5999|6074 Sit 6225 667816754 7434|7509 8189/8264 6830/6905 7585|7660 8340|8415 6981 7736 8491 8944|9019/9095)/9170|9246 * 9699/9774|9850|9925)| #000 760 0453/0529|0604|0680|0755 1208/1 283/1359]1434|1510 1962|2038)2113)2189|2264 2717|2792|2867/ 2943/3018 3471|3546|3622|3697|3772 4225) 4300) 4376|4451|4526 4979|5054|5130|5205/5280 5733|5808/5883/5959|6034 6486|656 2|/6637|671 2|6788 7240|7315|7390|7466|7541 7993/8068) 81 44|8219/8294 8746|8822|8897|8972/9048 * 9500|9575/9650/9725/9801 761 0253/0328|0403}0478}0554 1005|1081|1156}1231|1307 1758] 1833] 1909|1984|2059 2511|2586/2661|2737/2812 3263/3338) 341 4)3489)3564 4016) 4091/4166) 4241/4316 - 4768) 4843) 4918} 4993|5069 5520 5595|9570 5745/5821 6272|6347/6422|6497/6573 7024|7099|7174|7249|7324 97775|7851)7926|8001|8076 8527|8602/8677/8752/8828 9278/9354 9429|9504)9579 Se Caer Peg 9497 9573) 9649|9724)9800 0254/0329}0405|0481/0556 1010/1086) 1161}1237/1313 1766) 1842/1917) 1993|2069 2522/2598! 2674/2749| 2825 3278) 3354|3429|3505|3581 4034| 4110|4185| 4261/4336 4790|4865|4941|5016|5092 5545|5621|5696|5772|5848 6301|6376|6452/6527/6603 7056/7132|7207|7283|7358 7811|7887|7962|8038/8113 8566|8642|8717/8793|8868 9321 9997 9472|9548) 9623 0076}0151|0227/0302|0378 0831}0906|0981|1057|1132 1585] 1661|1736)}1811|1887 2339} 2415|2490) 2566) 2641 3094|3 169}3245| 3320/3395 3848)3923)3999| 4074/4149 4602|4677|4753| 4828 | 4903 5356|543 1}5506|558 2/5657 6109/6185|6260|6335|6411 6863|6938)701 4|7089|7164 7616|7692|7767|7842|7918 8370/8445|8520|8596/8671 91 23/9198|9274|9349/9424 9876}9951}#027,0102/0177 0629/0704|0780| 0855/0930 1382|1457/1532| 1608) 1683 2134) 2210/2285} 2360/2435 2887}2962|3037/3113)3188 3639)3715|3790|3865| 3940 4392|4467|4542|4617|4693 5144|5219|5294|5369/5445 5896/5971|6046/61 21/6197 6648 |6723|6798|6873|6948 7400|7475|7550|7625|7700 8151|/8226/8301|8377/8452 8903|8978]9053|g1 28/9203 965419729|9804|9879|9955 0405'0480|0556|063 11/0706 762 0030/0105 0180/0255|0330 0781/0856 093 1| 1006 1532|1607| 1682/1757 108L 1832 * 9785/9860 763 0534|0609 0684 0759|0834 2283 laa 2508} 2583 3034/3109 3184}3259/3334 3784|3859' 3934] 4009|4085 4535|4610'4685|4760| 4835 5985 536015435 5510/5585 6035 eye 6261/6336 6786/6861, 6936)701 1}7086 7536}761 1;7686|7761|7836 8286 8361/8435 8510|8585 9035|91 10.9185)9260/9335 9935} ¢010/0085 1284 1359 1434 1509|1583 2033) 2108) 2183) 2258) 2333 2782|2857 2932|3007|3082 353113606 36811375613831 Derry ce, “hee 1156] 1232|1307|/1382/1457 1907|1982}2058| 2133) 2208 2658/2733] 2808! 2883] 2959 3409|3484|3559|3634|3709 4160] 4235|4310!4385|4460 4910}4985)5060|5135/5210 5660/5735|5810 58855960 6411|6486|6561|6636,6711 7161|7236)731 1/7386}7461 7911|7986|8061|8136|8211 8660|8735|88 10/8885 8960 9410|9485|9560|9635|9710 0160|0235/0310|0385 0459 0909/0984] 1059}1134|1209 1658) 1733/1808) 1883) 1958 2408} 2482} 2557] 2632/2707 3157|3232|3306}3381|3456 390613980! 405514130 4205 Om '6 27 aeRs 179 Diff. 75 Diff. hs CIMA wp ee ko Orn Hoh wb aX On ie) 83 Diff. & Mult. 76 152 228 304 380 456 532 608 684 74 148 222 296 370 444 518 592 666 Con OO Gh ‘oO Diff. & Mult. ty 45 oT 84 LOGARITHMS OF NUMBERS. Num, Op beer es 4 5 6 7 8 9 | Dim | Dim & Mun | 5800 1763 4280/4355) 4430 4505)4579 | 4654)4729/4804|4879)4954 4 OI 5029|5104)5178/5253/5328 5403/5478 5553|5628/5702 yal 02 5777|5852|5927\6002/6077 | 6151/6226/6301/6376)/6451 i} 03 6526|6601/6675 6750/6825 | 6900 6975|7050]7 1 24/7199 | o4 7274|7349|7424|7499|7573 | 7648)7723|7798|7873}7947 i 05 8022|8097|8172 8247)8321 | 8396,8471|/8546)862 1/8696 | 06 8770|8845|8920 89959070 | 9144/9219|929419369/9443 . | 07 | * 9518)9593|9668 9743/9817 | 9892/9967|¢042/011 7/0191 | 08 | 764 0266/0341/0416 0490 0565 | 0640'0715}0789|0864\0939 | 09 1014|1089}1163)1238 1313 | 1388]1462|1537|1612|1687 I 5 58 10 1761|1836|1911|1986|2060 | 2135|2210]2285|2359| 2434 3 oom Vi 2509}2583|2658/2733|2808 | 2882}2957|3032|3107|3181 41 Sem 12 3256|3331|3406|3480/3555 | 3630|3704|3779|3854|3929 5 | Som 13.| © 4003/4078|4153|4227|4302 | 4377|/445114526|4601|4676 6 io 14 4750|4825|\4900|4974|5049 | 5124|/5198)5273|5348|5423 7 | So5mmel 15 5497|5572|5647/5721/5796 | 5871|5945|6020/6095|6169 8 | 600. 7} 16 6244/6319|6393|6468/6543 | 6617|/6692/6767|/6841|6916 9 | 675 17 6991|7065|7140|7215|7289 | 7364|7439}7513}7588|7663 18 7737|7812|7886| 7961/8036 | 8110/8185)8260/8334 oer 19 8484|8558|8633\8707/8782 | 8857/8931}g006|9081/915 1 58 20 9230|9304|9379'9454|9528 | 9603\9678|9752/9827|\9901 on 2I * 9976|¢051}0125|0200/0274 | 0349|0424|0498|0573|0647 | 22 | 765 0722/0797|0871|0946|1020 | 1095|1170|1244|131 eee 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 Dw 4450} 452'5|4599|4674|4748 | 4823)4897|4972|5046|5121 28 5195|5270|5344|5419|5493 | 5568)5643/5717|5792|5866 t 29 5941|6015,60g90/6164|/6239 | 6313'6388)6462|6537|/6611 re 58 30 6686/6760|/6835)/ 6909/6984 | 7058)7132|/7207|7281)7356 ¥ ] 31 7430|7505)7579}7654|7728 | 7803/7877|7952|8026|/8101 Be 32 8175|8250/8324\8399|8473 | 8547,8622/8696|8771/8845 30 8920|8994/9069|91 43/9218 | 929219366}9441|9515|9590 34} * 9664)9739/9813/9888|9962 | #036/0111|0185)0260)0334 35 | 766 0409|0483/0557|0632|0706 | 0781/0855|0930) 10041078 . 36 1153/1227/1302}1376|1450_ | 1525)1599|1674|1748| 1823 Ds ay 1897|1971|2046|2120)2195 | 2269]2343|2418|2492|2567 ; | 38 2641}2715)2790) 2864/2938 | 3013/3087|3162|3236|3310 ae 39 3385)3459|3534 3608|3682 | 3757|3831|3905|3980| 4054 a 58 4o 4128|4203|4277|4352|4426 | 4500|4575|4649|4723|4798 * Al 4872|4946|5021/5095|5169 | 5244|5318)5393|5467|5541 ? t: 42 5616)/5690/5764/5839|5913 | 5987)6062/6136/6210/6285 a 43 6359|6433)6508/6582|/6656 | 6730/6805|/6879/6953/7028 A 74 | 44}: 7102/71 76/7251}7325)7399 | 7474)7548!7622|7697|/7771 3 1 ¥ 45 7845|7919|7994/8068|8142 | 8217/8291|8365|8440|8514 4\2 46 §588|8652/8737/8811/8885 | 8960/9034|9108|9182/9257 5 | 370 47 93319405 |9479/9554|9628 | 9702/9777|9851|9925|9999 6 | 444 | 48 | 767 0074|0148)0222/0296'0371 | 0445}0519|0593|0668}0742 7 | 518 49 0816'0890,0965)1039|1113 | 1187|1262|1336|1410|/1484 8 | 592 ay 58 50 1559/1633)1707|1781|1856 | 1930|2004}2078|2153|2227 9g | 666 51 2301|2375|2449 2524)2598 | 2672|2746)2821|2895| 2969 4 52 3043)3117|3192/3266)3340 | 3414|3488|3563|3637|3711 » 53 3785/3859) 3934) 4008/4082 | 4156|4230|4305|4379|4453 a 54 4527|4601|4676)|4750|4824 | 4898|4972|5046)/5121|5195 f) 55 5269/5343|5417)5492/5566 | 5640/5714/5788|5862 5937 56 601 1/6085,6159 6233/6307 | 6381 645616530 6604/6678 BF 6752/6826)/6901|6975)7049 | 7123/7197/7271|7345|7420 f° 58 74947568) 7642|7716|7790 | 7864|7938|8013|8087|8161 59 8235'8309 8383 8457'8531 | 8606'8680'8754'8828!8902 Nar: 0 b'°2 3.4 5 6 7 8. 9 J Dim | Dice ome LOGARITHMS OF NUMBERS. 85 Num. BPs) FRY 3, A 5860 | '767 8976)9050\91 24)9198)9273 * 9717/9791|9865| 9940) +04 768 0458/0532|0606|0680\0754 1199) 1273/1347|1421}1495 1940}201 4/2088) 2162/2236 2680] 2754} 2828) 2902/2976 3421|3495)3569/3043|3717 4161/4235! 4309)4383|4457 4901|4975/5049|51 23/5197 5641/5715}5789|5863/5937 638 1|6455/6529/6603/6677 — 712117195|7269) 7343/7417 7860|7934|8008/808 2|8156 8600/8674/8745|88 22/8896 * 9339)9413/9487|9561|9635 769 0079|0153|0227|0300]0374 0818)0892|0966| 1040/1114 1557|1631|1705}1779}| 1852 2296) 2370] 2444|2517|2591 - 3035/3108}3182/3256/3330 3773|3847|3921/3995| 4069 451 2|4586| 4659) 4733) 4807 5250/5324/5398|5472|5546 5988/6062|/6136/62 10/6284 6727|6800|6874/6948| 7022 7465|7538]761 2|7686|7760 8203|8276|8350/8424|8498 8940|9014}9088)/9162|9235 * 9678|9752|9826|9899)9973 770 0416|0489|0563|0637|0711 1153/1227|1300|1374|1448 1890) 1964|2038}2 11 1/2185 2627/2701/2775| 2849} 2922 3364|3438}351 2|3585]3659 4101!4175|4249) 4322/4396 4838 | 491 2|4985|5059|5133 5575/5648|5722|5796|5869 6311|6385|6459)6532|6606 7048|7121|7195|7269|7342 7784|7858/7931|8005|8078 8520/8594|8667/874 1/8815 9256|9330|9403|9477/9551 9992| #066] 01 39)021 3/0286 771 0723/0801 |0875}0949| 1022 1463}1537|1611|1684]1758 4 ee 2273/2346) 2420) 2493 2934|3008 308 1|3155|3229 3670|3743/3817|3890|3964 4405|4478| 4552) 4625) 4699 5140/5213|5287|5360|5434 5875/5948 |6022|6095|6169 6610|6683|6757|6830|6903 7344|7418|7491|7565|7638 8079|8152|8226 8299/8373 8813/8887|8960|9034|9107 * 9547\9621 9694|9768|9841 772 0282|0355|0428 hos are 1016] 1089|1162|1236|13 1750|1823)1896| 1970 2043 2483|255712630!2704|29797 eo) SD eS ee eee 8. eG 347|9421|9495|9569| 9643 2088 0162/0236/0310\0384 0829}0903/0977|1051}1125 1569] 1643|1717/1791|1866 2310} 2384) 2458] 2532) 2606 3050}3124/3198}3273|3347 3791|3865 3989 4013}4087 4531|4605}4679) 4753) 4827 5271|5345|5419|5493|5567 601 1/6085/6159|6233/6307 6751|6825/6899|6973/7047 7491|7505}7639/7713)7787 8230|8304/8378|8452|8526 8970}9044)9118}9192/9265 9709}9783!9857|9931| 4005 0448}0522|0596|0670|0744 1187/1261}1335| 1409) 1483 1926] 2000] 2074}21 48} 2222 2665|273g}2813|2887| 2961 3404|3478}3552|3626| 3699 4143|4216|4290} 4364) 4438 488 1|4955}5029/5103/5176 5619|5693/5767|5841|5915 6358/6431 |6505/6579/6653 7096|7169/7243|7317/7391 7834|7907|7981|8055/8129 8571/8645/8719/8793/8867 9309|9383}9457|9530}9604 #047/01 21|0194/0268|0342 0784|0858}0932) 1005] 1079 1522|/1595)1669/1743) 1817 2.259|2333|2406|2480}]2554 2996|3070|3143/3217|3291 3733|3807}3880)3954| 4028 4470|4543|4617|4691|4764 5206|5280/5354|5427|5501 5943|6017/6090|6164/6238 6679|6753/6827|6900/6974 7416)7489|7563)7637|7710 8152/8226/8299/8373/8447 8888/8962/9035|9109|9183 9624|9698)9771/9845|9918 0360|0434!0507|0581|0654 1096] 1169|1243|1316)1390 1831/1909|1978/2052| 2125 2567| 2640|2714|2787| 2861 3302|3376)3449|3523/3596 4037|411114184)4258! 4331 4772|4846| 4919) 4993/5066 5507/5581 /5654/5728/5801 6242|6316/6389|6463/6536 6977|7050|71 24|7197|7271 771 217785|7858!7932/8005 8446)8519|8593|8666/8740 9180)9254/9327|9401|9474 9915|9988|4061|0135}0208 0649|0722/0795|0869)0942 1383) 1456)|1529}1603|1676 2117|2190|2263|2337|2410 2850! 2924! 2997'3070'3144 ReGen) 'S <9 Diff. & Mult, Diff. 74 O OI ADaAR wn ew | ° 73 146 219 292 365 438 511 584 657 OO OY AAR wp Diff. | Diff. & Mult. Num. LOGARITHMS OF NUMBERS. Ory we 3.64 5 6 DS RS BP 5920 | '772 3217/3290|3364)3437|3510 21 22 x 3951 4024|4097|4171|4244 4684|4757|4831| 490414977 5417|5491|5564|5637/5711 3584|3657|3731|3804|3877 4317|4391|4464)4537|4611 5051|5124)5197|5271|5344 5784|5857|5931|6004/6077 6150|6224|6297 6884)6957|7030 7616|7690|7763 834g9|8423|8496 9082|/9155}9228 9815} 9888}9961 6370/6444 7103/7177 7836|7910 8569/8642 9302/9375 ¢034|/0107 6517/6590 7250/7323 7983}8056 8716/8789 9448|9521 0181|0254 6664|6737/6810 7397|7470|7943 8129/8203/8276 8862|8935|goo9 9595|9668)9741 0327|0400|0474 773 0547|0620/0693|0767|0840 1279)1352|1426|1499|1572 2011/2085|2158/2231/2304 2743] 2817/2890) 2963/3036 3475|3549|3622|3695|3768 4207|4280|4354| 4427/4500 4939|5012|5085|5158/5232 5670|5744|5817|5890|5963 6402|6475|6548|6621|6694 7133/7206|7280|7353|7426 7864)|7938|8011|8084|8157 8596)/8669|8742|88 15/8888 9326|9400)9473| 9546/9619 774 0057|0130|0203|0277|0350 0788/0861 |0934| 1007/1080 1519|1592| 1665/1738) 1811 2249|2322|2395) 2468) 2541 2979|3052/3125/3198/3271 3710|3783|3856) 3929] 4002 4440) 4513|4586| 4659/4732 5170|5243|5316|5389/5462 5900|5972|6045)|61 18/6191 6629|6702|6775|6848|6921 7359|7432|7505|7578}7651 8088}8161/8234|8307|8380 8818}8891|8964|9036/9109 * 9547|9620|9693/9766|9839 775 0276}0349|0422|0495|0568 # 1005|1078|1151|1224}1297 1734} 1807) 1880} 1952|2025 0913]|0986} 1060}1 133|1206 1645|1719|1792|1865/1938 2377|2451|2524|2597|2670 3109) 3183|3256|3329|3402 3841}3915}3988| 4061/4134 4573|4646|4719|4793|4866 5305|5378)5451|5524|5597 6036/6109|6183/6256|6329 6768/6841 |6914/6987|7060 7499|7972|7645|7718)7791 8230/8303|8376|8449|8522 8961|9034|9107|9180)9253 9692/9765|9838| 991 119984 0423|0496}0569|0642\0715 1153}1226/1299|1372|1446 1884} 1957|2030)2103)2176 261 4|2687| 2760/2833) 2906 3345|3418}3491|3564/3637 4075|41 48) 4221|4294|4367 4805) 4878| 4951 |5024|5097 5535|5608|5681|5754/5827 6264|6337/6410|6483)6556 6994|7067|7140|7213)7286 7724|7797|7869|7942/8015 8453)/8526/8599|8672/8745 9182|9255|9328/9401|9474 991 1|9984|#057|0130)0203 0641/0713}0786}0859|0932 1369)1442|}1515)1588) 1661 2098] 2171|2244|2317|2390 2463) 2535 3191/3264 3920/3993 4648) 4721 5376|5449 2608} 2681/2754 3337|3410|3483 4065|4138|4211 4794|4867| 4939 5522/5595|5668 6104|6177|6250 6832|6905|6978 7560|7633|7706 8288)/8361/8434 9016|9089)/9161 9743|9816}9889 776 0471|0543|0616 1198]1271|1343 1925|1998| 2071 2652)2725/2798 3379|3452|3524 4106|4179/4251 4833)}4905| 4978 5559|5632|5704 6286 635816431 One Dee 6323|6396. 7O51|7124 7779|7851 8506|8579 9234|9307 9962|+034 0689/0762 1416|1489 2143|2216 2870|2943 3597/3670 4324) 4397 5051/5123 577715850 6503/6576 o. 4 2827|2g900|2973 3555|3628/3701 4284)4357|4430 501 2/5085/5158 5740|581 3/5886 64696541 |6614 7196|7269/7342 7924|7997|8070 8652|8725/8798 9380)9452)9525 0107,0180|0253 0834 0907|0980 1562|1634)1707 2289 2361|2434 3016) 3088/3161 3743 3815)3888 4469 4542)4615 5196 5269/5341 5922)5995|6068 6649 672116794 Bey Oe 3046|3118 3774|3847 4502|4575 523115304 5959/6032 6687/6760 7415|7488 8143/8215 8870/8943 9598)9671 0325}0398 1053|)1125 1780) 1852 2507/2579 3234)3306 3961} 4033 4687|4760 5414|5486 6140\6213 6867!6939 8, a Diff. . Diff. | Diff. & Mult, v 1 he COU AOR Wh - 734) 146 || 219 | 2927] 365 438 | Sit 584 | 657 5 OO STI AAR Wh LOGARITHMS OF NUMBERS. 2 22 3. 4-4 776 7012/7084) 7157,7230/7302 7738) 781 1}7883) 7956 8028 8464|8537/8609/868 2/8754 9190/9263) 9335)|9408/9480 # 9916|9988) +061/0134/0206 777 0642071 4|0787/0859|0932 1367/1440) 1512/1585|1657 2093}|2165) 2238) 2310/2383 2818/2890) 2963| 3035/3108 3543/3616) 3688/3761 /3833 4268)4341|4413}4486|4558 4993/5066) 5138/52 11/5283 5718|5791|5863)/5935|6008 6443|6515|6588 6660/6733 7167/7240)7312/7385|7457 7892|7964| 8037/8 109|8182 8616/8689/8761/8834|8906 9340/1941 3}9485|9558|9630 778 0065|0137|0209|0282|0354 0789)0861 0933) 1006) 1078 1513/1585/ 1657/1730) 1802 2236/2309) 2381} 2453/2526 2960/3032/3105|3177/3249 3683|3756)3828/3q00|3973 4407| 4479 4552|4624| 4696 5130|5202|5275/5347|5419 5853/5926 5998/6070/6143 6576|6649|6721/6793|6866 7299|7372|7444|7516|7588 8022)/8094|8167/8239|8311 8745|88 17/8889|8962|9034 * 9467/9540) 961 219684|9756 779 0190|0262|0334|0406|0479 0912/0984) 1056| 1129/1201 1634] 1706/1779|1851 1923 2356) 2429/2501} 2573} 2645 3078! 3150/3223 3295/3367 3800) 3872) 3944|4017| 4089 4522) 4594| 4666/4738] 4810 5243|5316!5388|5460|5532 5965|6037/6109/6181/6253 6686|6758|6831/6903/6975 7408'7480|7552| 7624] 7696 8129/8201|8273|8345|8417 8850/8922/8994/9066/9138 -* 9571 |9643/9715/9787/9859 780 0291|0363/0435|0507/0580 1012/1084) 1156|1228}1300 1732) 1804) 1877|1949|2021 2453)2525|2597 2669)2741 3173|3245 3317|3389|3461 3893 3965/4037 4109/4181 4613) 468514757 4829|4901 5333/5405|5477 5549/5621 605361 25|6197/6269|6341 6773\6845\6917 6989|7061 7492|7564|7636|7708|7780 8212/8284/8356|8428'8500 893 £|9003|9075|9147\9219 * 9650'972219794/9866'9938 Gy he 2 OB TA A 7375|7448|7520 8101/8174 8246 8827|8900/8972 9553) 9626) 9698 0279 0351/0424 1004|1077/114 1730] 1802|187 2455) 2528] 2600 3181/3253} 3326 3906) 3978) 4051 463 1|4703|4776 5356 5428/5501 6080/6153'6225 6805)6878|6950 7530/7602|7675 8254/8327|8399 8978|9051/9123 9703|9775|9847 0427|0499|0571 1151/1223/1295 1874|1947|2019 2598) 2670)2743 3322|3394|3466 4045|4117|4190 4768| 4841/4913 5492|5564|5636 6215/6287/6359 6938)7010/7082 7661/7733)7805 8383'8456|/8528 9106/9178|9251 9829)9901|9973 0551|0623|0695 1273|1345/1418 1995| 2067/2140 2717|2790}2862 3439/351 1/3584 4161|4233)4305 4883) 4955|5027 5604}5676|5748 6326|6398|6470 7047|7119)7191 7768|7840/791 2 8489|856 1/8633 9210/9282|9354 | 9931] ¢003|0075 0652!0724/0796 1372|1444|1516 2093) 2165} 2237 2813/2885) 2957 3533) 3605/3677 4253/4325|4397 4973|5045|5117 5693/5765|5837 6413)|6485|6557 7133)7204|7276| 7852|7924 7996, 8571|8643/8715, 9291|9363|9435 4010'0082!0154 om. GT 8 9 8319/8391 9045/9117 9771/9843 0496/0569 1222/1295 1947/2020 267312745 3398/3471 4123/4196 4848) 4921 5573|5646 6298/6370 17022/7095 7747|7819 8471/8544 9196/9268 992019992 0644/0716 1368/1440 2092/2164 2815/2888 3539/3611 4262|4335 4985|5058 5709|5781 6432/6504 7155|7227 7877/7950. 8600/8672 9323}9395 045/01 17 0768/0840 1490|1562 2212/2284 2934|3006 3656/3728 4377/4450 5099|5171 5821/5893 6542/6614 7263/7335 7984|8057 8705|8778 9426|9498 0147/0219 0868|0940 1588} 1660 2309| 2381 3029/3101 3749}3821 4469|4541 5189/5261 5909/5981 6629/6701 7348)7420 8068/8140 8787|8859 9506/9578 0226/0297 oo Diff. 7593|7665 72 Diff. e Ci AoW whe x 87 Diff. & Mult. | 73 146 219 292 365 438 511 584 657 72 144 216 288 360 432 504 576 648 SO OY Ar whpw 71 142 213 284 aa5 426 497 566 639 Diff. & Mult. Cn AON wnp x »e) LOGARITHMS OF NUMBERS. o 6: bP BS 29 0729|0801|0873|0945|1016 1448|1520|1592/1663)1735 2167|2238) 2310) 2382/2454 2885|2957|3029/3101|3173 3604|3676|3748)3819|3891 432214394] 4466) 4538]4610 5041|5112/5184|5256/5328 5759|5831|5902|5974|6046 6477|6549|6620|6692|6764 7195|7267|7338|7410|7482 7913|7984|8056|81 28/8200 8630|8702|8774/8846|8917 9348|9420)9491|9563}9635 #065|0137\0209|0281|0352 0783}0855}0926|0998}1070 1500|1572|1644}1715|1787 2217|2289|2361|2432)2504 2934|3006| 3078/31 49|3221 3651|3723/3794|3866/3938 4368} 4440} 451 1|4583| 4655 5085/5156/5228|5300/5371 5801|5873|5944|6016/6088 6518|6589|6661|6732/6804 7234|7305|7377|7449|7920 7950|8022|8093|8163/8236 8666|8738|8809|888 1|8952 9382|9454|9525|9597 0098/0169|0241 081 4|0885|0957 1529|1601|1672 2245|2316|2388)}245 2960|3032|3103}317 9668 0313/0384 1028|T 100 1744|1815 2531 3246 3675|3747|3818|3890|3961 88 Num. Oi ME NS SR. 4 6040 | 781 0369/0441|0513 0585|0657 4I 1088] 1160] 1232)1304)1376 42 1807|1879|1951|2023)2095 43 2526|2598}2670|2742|2813 44 3245|3316|3388}3460|3532 45 3963|4035|4107|4179 4250 46 468114753|4825|4897| 4969 47 5 400|5472|5543|5615|5687 48 6118/6190|6261/6333|6405 49 6836|6908|6979)7051|7123 60 50 7554|7626|7697|7769|7841 yt 8272|8343|8415|8487|8559 52 8989|9061|91 33\9204/9276 53 | * 970719778|9850|9922|9994 54 | 782 0424}0496|0568|0639)0711 55 1141\1213|1285|1357| 1428 56 1859] 1930|2002|2074|2146 57 2576|2647|2719|2791|2863 58 3293)3364|3436)3508|3579 59 4010|4081}4153)4225|4296 60 60 4726|4798| 4870] 4941|5013 61 5443}551 4}5586| 5658/5729 62 6159|6231|6303|6374|6446 63 6876|6947|7019|7091|7162 64 7592|7664|7735|7807|7878 65 8308/8380)|8451|8523)8594 66 9024|9096|9167|9239|9310 67 | *_ 9740|9812|9883|9955| +026 68 | 783 0456|0527|05g99|0670|0742 69 1171|1243)1314}1 386) 1458 60 70 1887|1958/2030|2102/2173 1 2602|2674|2745|281 7/2888 72 3318|3389|3461|3532|3604 73 4033|4104|4176|4247|4319 74 4748) 481 9|4891|4962|5034 7) 5463|5534|5606|5677|5749 76 6178|6249|632 1/6392 6464 yi] 6892|6964|7035|7107|7178 78 7607|7678|7750|7821|7893 79 8321/8393|8464) 8536|8607 60 80 9036|9107/9179|9250|9322 81 | * 9750/9821/9893|9964| +036 82 | 784 0464|0536|/0607|0678|/0750 83 1178)1250/1321|1392|1464 84 1892) 1963) 2035|2106|2178 85 2606] 2677/2749] 2820| 2891 86 3319)3391 3480 3534 3605 87 4033) 4104141 76|4247|4318 88 4746) 4818|4889| 4960/5032 89 5460|5531|5602|5674|5745 60 go 6173/6244|6316|6387/6458 91 6886)6957|7029|7100|71 71 92 7599|7670|7742|78 13/7884 93 831 2/8383|8454|85 26/8597 94 9024|9096]9167|9238|9310 95 | * 9737|9808|9880/9951|+022 96 | 785 ah te cae 2863 0735 97 1162|1233|1304|1376|1447 98 1874|1945|201 7|2088) 2159 99 2586] 2658|2729! 2800/2871 Num 0.) Tey eS 4 4390|4462|4533|4605| 4676 5105/5177|5248/5320|5391 5820|5892/5963/6035|61 06 6535|6606|6678/6749|682r 7250|7321|7393|7464/7536 7964|8036)8107/8179|8250 8679|8750|8821|8893|8964 9393|9464|9536}9607|9679 0107|0179|0250|0321}0393 0821|0893|0964|1035)1107 1535|1607|1678|1749|1821 2249}2.320)2392|2463 2534 2963|3034|3105)3177|3248 3676| 3748) 38 1 g}3890|3962 4390|4461|4532|4604| 4675 5103|5174|5246|5317|5388 5816/5888) 5959|6030|6102 6529|6601 |6672|6743/6815 97242|731 4|7385|7456|7528 7955|8027|8098|8 169|8241 8668/8739|881 1|8882/8953 9381|9452|9523|9595|9666 0093|0165/0236/0307|0378 0806|0877|0948|1019} 1091 1518} 1589) 1661}1732|1803 2230) 2301) 2373|2444)2515 29421301 4'3085|315613227 5: . 6.5 7 Baas Diff. | Diff. & Mult. “4 pitt. | Dif. & Mult, 7 , lo C~y HAudwhsy COW AOW wn w or Or Se) Do Ww ‘oO al LOGARITHMS OF NUMBERS. 89 Num. mr 2 YS. O44 OC STA4s 79 Diff. | Diff. & Mult. 6100 | 785 3298/3370 3441)3512|3583 | 3654|3726|3797|3868)\3939 ol 4010) 408114153! 4224)4295 | 4366|4437|4509| 4580/4651 02 4722|4793|4864| 4936/5007 | 5078/5149|5220/5291|5363 03 5434|5505 597015647 5718 | 5789/5861|5932/6003/6074 04 6145)6216/6288/6359/6430 | 6501/6572/6643|6714|6786 05 6857|6928/6999|7070|7141 | 7212/7283/7355)7426|7497 06 7568|7639|7710/7781|7852 | 7924/7995/8066|8137|8208 07 8279|8350|8421/8493/8564 | 8635|8706/8777|8848|8919 08 8990|9061}9132/9204/9275 | 9346)9417|9488)9559|9630 09 | * 9701/9772\9843|\9915/9986 | #057\0128/0199|/0270\0341 61 10 | 786 0412}0483\0554|0625}0696 | 0767/0839|09 Glog8t 1052 I ay a si 1123)1194|1265/1336|1407 | 1478|}1549|1630|1691|1762 2] 142 12 1833]1905|1976|2047|2118 | 2189|2260 2334|2402|2473 Bie ae 13 2544| 2615/2686] 2757/2828 | 2899|2970|3041|3112|3183 4 | 284 14 3254/3325|3396/3467|3538 | 3609/3681 3732 3823)3894 3° 1s 355 15 3965) 4036] 4107/4178|4249 | 4320|4391|4462!4533|4604 : ae 16 4675|4746|4817| 4888) 4959 | 5030/5101/5172/5243/5314 : 8 ed 17 5385)5456|5527|5598/5669 | 5740|5811|5882}5953/6024 7 63 18 6095|6166|6237/6308/6379 | 6450/6521|6592|6663/6734 a2. Ree? 19 6805/6876/5946/7017/7088 | 7159|7230/7301|7372|7443 61 20 7514|7585/7656/7727|7798 | 7869|7940|801 1|8082|8153 ees 8224/8295/8366/8437/8508 | 8579|8649/8720|8791|8862 22 8933}9004|9075|91 46/9217 | 9288]9359|9430|9501|9572 23 | * 9643|9714|9784|9855|9926 | 9997|¢068}0139/0210/0281 24 | 787 0352/0423 0494|0565|0635 | 0706|0777|0848|o0g19|oggo0 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 Hn .:29 3896|3967|4038)/4109|4180 | 4250/4321 4392|4463|4534 {61 30 4605| 4676|4746|4817|4888 | 4959|/5030/5101|5171|5242 ‘ | Mee 5 5313|5384)5455|5526/5596 | 5667/5738/5809|5880|5951 32 6021/6092/6163/6234/6305 | 6376|6446/6517|6588}6659 33 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|/8641/871 2/8783 36 8854|8924|8995|9066|9137 | 9207\9278|9349|9420|9490 37 | * 9561/9632)9703!9774|9844 | 9915\9986|4057|0127/0198 38 | 788 0269/0340/0410]0481/0552 | 0623/0693|0764|0835|0906 39 0976] 1047)1118}1189/1259 | 1330}1401}1472|1542|1613 51 4o 1684) 1754} 1825|1896}1967 | 2037)/2108|2179|2250)2320 4I 2391|2462/2532|2603)2674 | 2745/2815) 2886] 2957/3027 y i 42 3098) 3169/3240/3310/3381 | 3452/3522|3593| 3664/3734 4 i 43 3805/3876) 3947| 4017/4088 | 4159|4229|4300|4371/4441 an ae 44 451214583)4653| 4724/4795 | 4865]4936|5007/5078/5148 4480 45 5219|5290/5360/5431|5502 | 5572/5643|5714/5784/5855 5 | 350 46 5926|5996|6067|6138/6208 | 6279\6350|6420|6491|6561 6 | 420 47 6632|6703|6773/6844|6915 | 6985|7056|7127/7197|7268 7 | 490 48 7339)7409/7480/7551|7621 | 7692|7762/7833|7904|7974 8 | 560 49 8045/81 16/8186/8257|8327 | 8398)8469|8539|8610|8681 9 | 630 31 50 8751|8822|8892|8963|9034 104/91 75|9245|931619387 51} * 9457/9528 9598 eb Bh Aa 3861 ee An: eae 52 | 789 0163|0234|0304|0375|0446 | 0516/0587/0657 072810799 53 0869\0940|10r10}1081]1151 | 1222 1293) 1363|1434| 1504 54 1579|1645|1716|1787|1857 | 1928]1998|2069|2139|2210 55 2281/2351/2422|9492/2563 | 2633/2704/2774|2845 2916 56 2986|3057|3127|3198|3268 | 3339|3409|3480|3550| 3621 57 3692|3762)3833|3903|3974 | 4044|411514185|4256| 4326 58 4397/4467 4538|4608|4679 | 4749|4820 4890|4961|5032 59 5102151 73!52431531415384 | 545515525155961566615737 Num. Ge}. 2... 63. Fa Diff. | Diff. & Mult. Wn Gee ny 8? °D " H™ 90 LOGARITHMS OF NUMBERS. Bo [6 we S #9 6160|6230|6301/6371|6442 6865}6935|7005 7569|7640/7710 8274|8344|8415 8979|9049/9119 9683/9753/9824 0387|0458|0528 1092|1162|1232 1796) 1866} 1936 7076|7146 7781|7851 8485/8556 9190/9260 9894/9965 0599|0669 1303]1373 2007|2077 2500] 2570) 2640] 2711/2781 3204|3274|3344|3415|3485 3907|3978/4048|4118)4189 4611)4681}4752| 4822/4892 5315|5385/5455)5526|5596 6018|/6088)6159|6229|6299 6721|6792|6862|6932/7003 7424|7495|7965|7635|7706 8128/8198/8268/8338|84o09 8831|8901}8971|9041)9112 9533}g504|9674]9744|9814 0236/0306|0377|0447|0517 093g} 1009}1079|1150/1220 1641}1711)1782|1852|1922 2344|2414|}2484| 2554) 2625 3046) 31 16}3186|3257/3327 3748|3818) 3889) 3959) 4029 4450|4520|4591|4661|4731 5152}522215292/5363|5433 5854|5924|5994|6064|6135 6556|6626|6696/6766/6836 7257|7327|7398|7468| 7538 7959|8029|8099/8169|8239 8660|8730|8500!8871/|8941 9361|94321950219572/9642 ¢063|0133|0203|0273/0343 0764|0834]0904|0974| 1044 1465|1535|1605)1675}1745 2165}2235| 2306) 2376) 2446 2866) 2936 3567|3637 4267/4337 4967)|5038 5668/5738 63686438 3006| 3076) 3146 3707|3777|3847 4407|4477|4547 5108)5178/5248 5808/5878|5948 6508)6578|6648 Num. 0 1 2 3 4 6160 | '789 5807 5878|5948|/6019 6089 + POT 6512 6583 6653/6724 6794 62 7217, 7287|7358|7428)7499 63 7922/7992|8063/8133 8204 64 8626 8697|8767|5838 8908 65 9331 |9401/9472|9542\9613 66 | 790 0035/0106|01 76/0247 0317 67 0739)0810/0880}0951|1021 68 1444|1514|1584 1695)1725 69 2148) 2218/2288) 2359/2429 61 70 2852|2922|2992|3064@8 133 71 3555| 3626) 3696|3769337 72 4259|4330|4400| 447984541 a3 4963|5033/5103)517 74 5666|5737|5807|587 75 6370|/6440|6510/6581' 76 7073|7143|721 4|7284|7354 if 7776|7846|7917|7987|8097 78 8479)8549|8620/8690|8760 79 9182|9252|9323/9393|9463 61 80 | * 9885)9955}¢025|0096'0166 81 | 791 0587|0658/0728/0798/0868 82 1290|1360/1431}1501)1571 83 1992) 2063) 2133/2203) 2273 84 2695|2765| 2835) 2905/2976 85 3397|3467)|3537|3608/3678 86 4099) 4169|4240/4310|4380 87 4801|4871|4942|501 2/5082 88 5503/5573|5643/571 4/5784 89 6205/6275|6345/64 15/6486 61 90 6906|6977/7047|7117|7187 gI 7608) 7678/7748) 7818/7889 92 8309|8380|8450)8520!85g0 93 9011|9081|9151/9221 19291 94 | * 9712/9782/9852/9922/9992 95 | 792 0413|0483]0553]0623|0694 96 1114/1184} 1254) 1324/1394 97 1815/1885} 1955) 2025/2095 98 2516/2586) 2656) 2726/2796 99 3216}3286}3356)3427|3497 62 00 3917|3987|4057|4127|4197 ol 4617|4687!4757|4827|4897 02 5318!5388)5458/5528/5598 03 6018)/6088/6158/6228|6298 04 6718)/6788/6858)6928|6998 05 7418|7488) 7558|7628|7698 06 8118/8188/8258/8328/8398 07 8817/8887|8957|9027|9097 08 * —9517|9587|9657|972719797 09 | 793 0217|0287|0356|0426|0496 62 10 0916/0986) 1056}11 26/1196 II 1615|1685}1755|1825) 1895 12 2314) 2384|2454|2524 2594 13 301 4/3083}3153)3223)3293 14 3712|3782|3852)3922|3992 15 4411|4481|4551| 4621 4691 16 5110|/5180/5250/5320|5390 Fe 5809)/5879|5948|6018/6088 18 6507|6577|6647/6717|6787 19 7206 7275173451741 517485 Num. OP Pe. «74 7068|71 38/7208) 7278/7348 7768|7838]7908/7978 8048 8468|8538|8608|8678/8747 916719237|9307|9377|9447 9867/9937|#007)0077|0147 0566|0636|0706/0776]0846 1266] 1336) 1406) 1475)1545 1965}2035}2105|2175/2245 2664|2734| 2804} 2874] 2944 3363)3433|3503|3573|3643 4062|4132|4202|4272|4341 4761|4831|4900|4970| 5040 5459|5529|5599|5669|5739 6158|6228/6298|/6367/6437 6856|6926)|6996|7066|7136 799517625176941776417834 5 6 7% 8 9°] Dim | Dif & Mult. Diff. 7O Diff. & Mult, WO Ov AOL why OO OU DOWwnw = ae, ay = , FES 142 213 284 355 426 497 568 639 : . Num. OP ah oes (A 6220 | 793 7904|7974/8043 8113/8183 21 8602/8672 8742/8811 8881 22 9300] 9370/9440'9509 9579 23 | * 9998/4068 0138/0207 0277 24 | 794 0696/0766|0835' 0905 0975 25 1394) 1463) 1533/1603) 1673 26 2091|2161/2231|2300) 2370 27 2.789] 2858/2928] 2998! 3068 28 3486 | 3556! 3626) 3695|3765 29 4183! 4253) 4323! 4392| 4462 62 30 4880) 4950/5020 50g0|5159 31 5578|5647|5717/5787/5856 32 6274)'6344|6414)6484)6553 33 6971|7041|7111|7180|7250 34 7668) 7738)7807|7877|7947 35 8365|8434|8504|8574|8643 36 9061/91 31|9200|9270|9340 37 | * 9757/9827/9897|9966| +036 38 | 795 0454)0523 0593|0663/0732 39 11501219) 1289}1359|1428 62 40 1846/1915) 1985)2055)2124 4I 2542/2611/2681|2751/2820 42 3238} 3307|3377|3446|3516 43 3933) 4003|4072|4142|4212 44 4629) 4698| 4768 | 4838) 4907 45 5324|5394/5464|5533|5603 46 6020/6089]6159/6228/6298 © 47 6715|6785|6854/6924|6993 48 7410|7480|7549|76 19/7688 49 8105/81 75/8 244/831 4|8383 62 50 8800/8870/8939|9009/9078 51 * 9495/9564) 9634|9703/9773 52 | 796 0190}0259|0329|0398|0468 53 0884|0954] 1023) 1093/1162 54 1579)1648|1718|1787|1857 55 2273) 2343|2412|2481/2551 56 2967/3037|3106) 3176/3245 57/ 3662|3731|3800|3870]3939 58 4356] 4425) 4494/4564) 4633 59 5050/5119}5188/5258/5327 6260 5743)/5813|5882|5951/6021 61 6437|6506|6576|6645|6714 62 7131|7200|7269| 7339/7408 63 7824|7893)7963/8039/81o1 64 8517|8587/8656)8725/8795 65 9211|9280/9349|9419'9488 66 * 9904|9973 2043 . ie cars 67 | 797 0597|0666|0736|0805'0874 68 1290|1359| 1428] 1498/1567 69 1983)2052)2121/2191|2260 62 70 2675|2745|281.4/2883) 2952 71 3368|3437|3507| 3576/3645 72 4060)4130 4199)\ 4268! 4337 73 4753) 48221 4891|4961|5030 74 5445)5514|558415653 5722 79 6137/6207|6276\6345|6414 76 6829|6899|6968|7037|7106 77 7521|7390|7660!7729|77098 78 8213/8282|8351|84a1 8490 79 8905'8974!9043'91 ralg181 Num 0 1 2 Dui A LOGARITHMS OF NUMBERS. ese 8 8253/8323/8393 8462 8951/9021)9091/9160 9649;971919789 9858 0347|0417|0487'0556 9 8532 9230 9928 0626 1045|1114)1184 1742|1812/1882 2440] 2510}2579 3137|3207|3277 3835) 3904|3974 4532|4602|4671 5229/5299/53 5926|5996/6065 6623)/6693|6762 7320)7389/7459 8016|8086/8156 8713/8782|8852 9409|9479)9549 0106/01 75/0245 0802/0871|0941 1498} 1567|1637 2194 2890 3586 4281 4977 2263) 2333 2959/3029 3655/3725 4351|4420 5046/5116 1324 1952/2021 2649) 2719 3347|3416 4044) 4114 4741/4811 1254 B5.43815508 6135/6205 6832\6902 7229 7998 (8225/8295 8922/8991 9618/9688 0314/0384 1011/1080 1707|1776 2403/2472 3098)3168 3794|3864 4490| 4559 5185/5255 567215742|5811/5881 6367|6437|6506/6576 7063|7132|7202/7271 7798|7827|7897|7966 8453|8522/8592|8661 9148}9217/9287|9356 9842/9912/9981| 4051 0537}0606|0676/0745 1232|1301/1370|1440 5950 6646 7341 8036 8731 9426 0120 0815 1509 1926]1995/2065 2620} 2690|2759 3314}338413453 4009} 4078/4147 4703|4772|48A41 5396] 5466) 5535 6090/6160]/6229 6784|6853/6923 7477|7547|7616 8171|/8240|8309 8864/8933}9003 9557|9627/9696 0250/0320/0389 0943} 1013} 1089 1636) 1706)1775 2329 2398|2468 3022|3091|3160 371 4|3784|3853 4407|4476|4545 5099|5168)/5237 5791|5860|5930 648365536629 7179|7245|7314 7867|7936|8006 8559|8628/8697 925119320 9389 hg ORT 2134|}2204 2829) 2898 3523/3592 4217/4286 4911/4980 5605)5674 6298/6368 6992|7061 7685/7755 8379/8448 9072/9141 9765/9835 0458|0528 I151|1221 1844|1913 2537)| 2606 3229/32 Gs 3057 4614) 4684 5307/5376 5999/6068 6691 |6760 7383)7452 8075|8144 8766|8836 9458!9527 8 9 Diff. Diff. lo COU Anh wr lo CY Arp wp - TF Diff. & Mult. 70 140 210 280 350 420 490 5bo 630 6 138 207 276 345 414 483 552 621 Diff. & Mult. 92 LOGARITHMS OF NUMBERS. Num. OF ae 63 Yr4. 5. 6 FI SB FD Diff. | Diff. & Mult, 6280 | . * 9596|9666/9735\9804|9873 | 9942|¢011/o080|o150jo219 a od 81 | 798 0288|0357/0426)0495'0565 | 0634!0703/0772|0841|0910 % 82 0979|1048)1118}1187|1256 | 1325|1394/1463}1532| 1601 ‘| 83 1671/1740] 180g] 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 $I 88 5125|5194/5263/5333)/5402 | 5471/5540|5609/5678 5947 | 89 5816/5885)5954/6023|6092 | 6161|6230/6299/6368 6437 a! 62 go 6506/6575|6645|6714|6783 | 6852\6921/6990)7059/7128 r |. 708 | gI 7197|7266)7335|}7404}7473 | 7542|7611/7680|7749/7818 2.| 3400 92 5885|7956|8025|8094/8163 | $232|8301|837018439|8508 3| 210 | 93 8577|8646|8715|8784|8853 | 8922|8991|9060)91 29/9198 4 | 280 | 94 9267/9336)}9405|9474|9543 | 9612)9681}9750|9819/9888 | 69 d 3507 || 99 | * 9957/#026|0095|0164|0233 | 0302/0371|0440/0509|0578 - ie | 99 | 799 0647/0716)0785|0854)0923 | 0992|1061|1130|1199]1268 8 | oom ll 97 1337|1406}1475|1544|1613 | 1682)1751/1820|}1889)1958 9 | 630 | 96 2027/2096] 2164|2233|2302 | 2371|2440|2509/2578)2647 2 99 2716/2785|2854/2923)2992 | 3061/3130/3199/3268/3337 63 00 3405|3474|3543|3612|3681 | 37501381 9|3888|3957|4026 + OI 4095}4164]4233|4302|4370 | 4439)4508|4577|4646|4715 | 02 4784) 4853) 4922/4991 |5060 | 5129/5197|5266|5335|5404 03 5473/5542|5611/5680|5749 | 5818/5886|5955|6024|6093 04 6162/6231 |6300|6369)/6438 | 6506|6575/6644/6713/6752 i 05 685 1|6920/6989|7058/7126 | 7195}7264)7333|}7402|7471 4 06 7540|7609/7677/7746|7815 | 7884|7953|8022/8091/8159 07 8228|8297|8366|8435/8504 | 8573)8641/8710|8779/8848 08 8917/8986)9055|91 23/9192 | 9261|9330\9399|9468|9536 09 | * 9605/9674/9743|\9812/9881 | 9949/¢018)0087)0156/0225 63 10 | 800 0294|0362|/0431|0500|0569 | 0638}0707/0775|0844/0913 ay II 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 442114490|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 63 20 7171|7239|7308|7377/7446 | 7514/7583}7652/7720/7789 21 7858/7927/7995|8064/8133 | 8201|8270|8339|8408/8476 Lae 22 8545|8614|8682/8751|8820 | 8888/8957|9026/9094\9163 oe 23 9232/9301 |9369/9438|9507 | 9575|/9644/9713/9781|9850 3 ee 24 | * 9919/9987|¢056|0125|o1g93 | 0262|0331}0399/0468)/0537 I 4 | 276 25 | 801 0605/0674/0743/0811/0880 | 0949]1017/1086}1155|1223 5 | 345 26 1292|1361|1429|1498|1566 | 1635/1704/1772|1841|1910 6 | 414 27 1978] 2047|2116|2184)2253 | 2322/2390|2459| 2527/2596 7 | 483 — 28 2665|2733)2802|2871/2939 | 3008)3076/3145/3214)/3282 8 | 552 | 29 3351|3420)3488/3557|3625 | 3694/3763|3831|3900|3968 _9 | bar 63 30 4037|4106|4174|4243|4312 | 4380!14449|4517|4586|4655 31 4723|4792|4860|4929|4998 | 5066|5135/5203|5272|5340 32 9409|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|767 2/7740 | 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 | % 95221959119659|9728|9796 | 9865|9933)4002|0070/0139 39 } 802 020810276103451041310482 | 0550!061910687!0756'0824 Num. Oni ghey ys) od 5 6 7 8 Q | Diff. | Diff. & Mul | } aa Num. LOGARITHMS OF NUMBERS. eee SS. ' 6340 [802 0893|0961|1030 fey 1167 1578} 1646|1715/1783|1851 2262 2331/2399) 2468} 2536 2947|3016 308, 3153)3221 3632}3700|3769|3837|3906 4316] 4385)4453| 4522] 4590 5001|5069)5138/5206)5274 5685}5753|5822/58g0!5959 6369|6438/6506/6574/6643 7093|7122|7190/7258|7327 7737|7806| 787417942|8011 8421|8490)/8558/8626)8695 9105/9173/9242 93109378 *_ 9789|9857)9925/9994| +062 803 0472}0540|0609|/0677|0745 1156) 1224/1292|1361|1429 1839 7 1976) 20442112 2522|2590]2659|2727|2795 3205|3274|3342|3410|3478 3888) 3957|4025| 4093) 4161 4571|4639|4708|4776| 4844 5254/5322|5391|5459)5527 5937|6005|6073|/6141|6210 6619|6687/6756/6824/6892 7302|7370|7438/7506| 7575 7984|8052/8121/8189)8257 8666/8735)8803|887 1/8939 9348) 9417}9485|9553| 9621 804 0031|0099|0167}0235|0303 071 2|0781|0849|0917|0985 1394|1463/1531|1599| 1667 2076/2144) 2212}2281/2349 2758] 2826) 2894/2962|3030 3439|3507|3575|3644/3712 4121)4189|4257/4325| 4393 4802) 4870] 4938)|5006|5074 5483)/5551|5619)5687|/5756 6164|6232|6300/6368/6437 6845|6913|6981|7049/7118 7526|7594|7662|7730|7798 8207|8275/8343)/8411|8479 8887|8956}902.4|9092/9160 * 9568|9636/9704/9772/9840 805 0248/0316)}0385|0453|0521 0929|0997|1065|1133)1201 1609] 1677|1745| 1813/1881 2289|2357|2425| 2493/2561 2969|3037|3105|3173|3241 3649|3717|3785| 3853/3921 4329|4397|4465| 4533) 4601 5009|5077/5145|5212/5280 5688/5756|5824|5892| 5960 6368|6436|6504|6571 6639 7047)7115|7183|7251|7319 7726|7794|7862|7930|7998 8405|8473|8541 8609|8677 9085/9152|9220|9288) 9356 *# 9764)9831|9899|9967|4035 806 0442/0510|0578 is O714 1121!1189112571132511393 OF th 2 eee BOF tat 9 AC 9 yr thes p 1441/1509 1920] 1988/2057| 2125/2194 2605} 2673)2742/2810/2879 3289/3358) 3426|3495)3563 3974|4042/4111/4179/4248 4658/4727|4795| 4864) 4932 5343|5411|5480)5548|/5617 6027/6096/6164/6232/6301 6711|6780|/6848|/6916/6985 7395|7464) 7532|7600}7669 8079/81 48/8 216|8284|8353 8763/8831|8g00|8968/9037 9447|9515|9583|9652/9720 0130]0199|0267|0335|0404 081 4}0882|0951| 101g) 1087 1497|1566)1634}1702|1771 2181)2249)2317}2385|2454 2864] 2932/3000] 3069) 3137 3547|3615/3683|3752|3820 42304298} 4366) 4435|4503 4913/4981|5049|5117|5186 5595|5664)5732|5800|5868 6278|6346|6414/6483)/6551 6960|7029|7097/7165}7233 7643'7711|7779|7848]7916 8325/8393/8462|8530/8598 9007|9076/91 44) 9212/9280 9690/9758] 98 26|9894|9962 0372|0440]0508}0576|0644 1053} 1122/1190]1258}1326 1735|1803/1872|1940|2008 2417/2485} 2553/2621|2690 . 3098|3167|3235|3303|3371 3780) 3848!3916|3984|4052 446114529] 4598] 4666] 4734 5143|5211|5279/5347|5415 5824|5892/5960|6028/6096 6505|6573|/6641/6709/6777 7186)7254|7322|7390|7458 7866|7934|8003|8071|8139 8547|8615/8683|8751 |8819 9228/9296] 9364|9432|9500 9908/9976) 044/01 12/0180 0589/0657|0725|0793|0861 1269/1337/1405|1473}1541 1949} 2017} 2085) 2153/2221 2629| 2697) 2765/2833] 2901 3309|3377|3445|3513/3581 3989|4057|4125|4193|4261 4669|4737| 4805) 4873]4941 5348}5416|5484/5552|5620 6028/6096/6164|6232|6300 6707|6775|6843|691 1/6979 7387/7455|7523|7590/7658 8066/8 134/8202|8270|8338 8745|8813/8881|8949|9017 9424|9492|9560|9628/9696 0103|/0171/0239|0307|/0374 0782/0850}0917|0985| 1053 - 1460! 1528} 1596\1664'1732 oe, 68 9 Diff. 68 lo Cr OnR wb 93 Diff. & Mult. 6 138 207 276 345 414 483 552 621 O OI AMA ND Wh 68 136 204 272 340 408 476 544 612 67 134 201 268 335 402 469 536 603 Cn AOR Wb Se) Diff. | Diff. & Mult. 94 Num. LOGARITHMS OF NUMBERS. UF 1 ae ra: 4 6400 |806 1800)1868)1935)2003|2071 OI *% 807 * 808 * 2478) 2546) 261 4/2682|2750 3157|3225/3292/3360)3428 3835) 3903) 3971 4038) 4106 4513|4581|4649|4717/4784 5191|5259|5327|5395|5463 5869/5937/6005|6073/6141 6547/6615'6683/6751|6818 7225)7293|7361|7428|7496 7903|7970|8038/8106/8174 8580|8648|8716|8784)/ 8551 925819326)9393/9461/9529 9935|¢003/0071/0138}0206 061 2}0680|/0748|08 16|0883 1290|1357|1425|1493|1560 1967|2034|2102|2170| 2237 2644|2711}2779|2847|2914 3320|3388)3456|3523)/ 3591 3997/4065) 4132|4200|4268 4674|4741|4809|4877|4944 5350|5418/5486|5553) 5621 6027|6094|6162|6230/6297 6703|6771|6838 es 6974 7379|7447|7914|7982|7650 8055/81 23/8191 |8258/8326 8731|8799|8867|8934|g002 9407|9475|9542|9610|9678 0083)0151|0218}0286)0353 0759|0826|0894|0961| 1029 1434|1502|1569|1637|1704 2110|2177|2245]2312|2380 2785} 2853] 2920|2988) 3055 3460}3528|3595|3663/3730 4136|4203|4271|4338| 4406 481114878] 4946|5013|5081 5486) 5553|5620|5688/5755 6160|6228)/6295|6363/6430 6835|6903/6970|7037|7105 7510|7977|7645|771 2|7780 8184|8252|8319/8387/8454 885g9|8926|8994|9061|91 28 9533} 9600) 9668/9735|9803 809 0207|0275|0342|0409|0477 088 1|0949|1016) 1084} 1151 1555|1623]1690|1757|1825 2229/2297 2903|2970 3577|3644 4250/4318 4924)4991 5597|5664 6270/6338 2364|2431|2499 3038|3105|3173 3711|3779|3846 4385|4452|4520 5058/5126)5193 5732|5799|/5866 6405|6472|6540 Be 6 7 - a 2139|2207|2275| 2343/2410 2817/2885] 2953/3021|3089 3496/3564) 3632|3699| 3767 4174|4242|4310|4378]4445 4852|4920| 4988}5056!5124 5530/5598|5666/5734|5802 6208/6276|6344|64 1 2|6479 6886|6954|7022|7089)7157 7564|7632|7699|7767|7835 8242|8309|8377|8445|8513 8919/8987|9055|g91 22/9190 9596|9664|9732|9800|9867 0274|0342|0409|0477|0545 0951} 1019}1086]1154)1222 1628] 1696}1764| 18311899 2305} 2373] 2440]2508} 2576 2982|3050|3117|3185)3253 3659/3726] 3794|3862|3929 4336 4403] 447 1|4538)| 4606 501 2|5080|5147|5215|5283 5689|5756|5824/5891|5959 6365|6432|6500|6568}6635 7O41 780 7176|7244|7312 7717|7789|7853|7920| 7988 8393|8461|8529|8596/8664 ae 9137|9204|9272|9340 9745|98 13/9880] 9948} 4015 0421|0488/0556/0624|0691 1096} 1164] 1232| 1299} 1367 1772|1840]1907|1975|2042 2447| 2515) 2582|2650|2718 3123|3190]3258}3325|3393 3798}3865) 3933) 4000] 4068 4473|4541| 4508] 4676|4743 5148/5216|5283/5351/5418 5823}5890|5958/6025|6093 6498 |6565|6633|6700/6768 717217240|7307|7375|7442 7847|791 4|7982|8049/8117 8521/8589|8656|8724|8791 9196|9263|9331|9398|9466 9870/9938} #005|0072|01 40 0544|061 2|0679/0747|0814 1218|1286|1353}1421|1488 1892]1960/2027| 2094/2162 2566] 2634/ 2701/2768) 2836 3240}3307|3375)3442|3509 3914|3981| 4048] 4116)4183 4587|4654|4722|4789) 4856 5260/5328|5395}5462|5530 5934|6001|6068/61 36/6203 6607|6674|6742|6809|6876 # 6944|7011|7078|7146|7213 7617|7684)7751|7819|7886 8290/8357|84 24/8491 |8559 8962|9030|9097/9164|9232 9635/9702/9770|9837|9904 810 0308|0375|0442|0510\0577 0980) 1048)1115}1182|1249 1653/172011787!1855\1922 OF ae 23 4 | 7280|7347|7415 7953|8020|/8088 8626 a siead 9299 9360/9438 9972|4#039)0106 0644/0711|0779 1317|1384|}1451 1989!2056'2123 Day Cad 7482/7549 8155\8222 8828/8895 9501/9568 0173/0241 0846\0913 15181586 219112258 8. «9 Diff. 72 Diff. & Mult, f WO OY AMOK Wh | OO OY AnD ww 67 134 201 268 — 335 4O2 469 536° 603 i i t { =¥% Z - = Diff. | Diff. & Mult. | 810 * 811 * 812 813 LOGARITHMS OF NUMBERS. Oe b 12.3 4 2.325)2392|2460| 2527/2594 2997|3065) 31 32|3199|3266 3670|3737|3804| 3871/3938 4342|4409|4476| 4543| 4610 5013)5081|5148)5215|5282 5685/5752|/5820|5887|5954 6357|6424|6491/6558|6626 7029/7096/7163)7230)7297 7700|7757)|7834|7902|7969 8372|8439|8506|8573/8640 Sor4lo781(e8Blgoraleab 9714/9791/9040)991 9/9902 0385}0452/0519 2236 0653 1056/11 23/1 190}1257|1324 1727}1794)|1861|1928|1995 2398) 2465} 2532 2599| 2666 3068 | 3135|3203/3270|3337 3739|3806|3873}3940|4007 4409|4476|4544) 461 1|4678 5080/5147|5214|5281|5348 5750|5817/5884| 5951/6018 6420|6487/6554|6621|6688 7090|7157|7224|7291/7358 7760|7827|7894|7961|8028 8430)/8497|8564|8631 8698 9100|9167/9234|9301|9368 9769|9836!9903|9970| +037 0439|0506|0573|0640|0707 1108} 1175/1242|1309/1376 1778| 1845) 191 2|1979|2045 2447|2514|2581/2648|2715 3116/3183|3250/3317/3384 3785 /3852/3919|3986| 4053 44544521 4388 4655) 4722 5123/5190|5257|5323/5390 5792|5858|5925|5992|605 6460/6527 6294 661 a8 7129|}7196/7262|7329/7396 7797|7864|7931|7998|8064 8465|8532|8599|8666|8733 9134|9200|9267/9334|9401 * 9802|9868|9935}|¢002|0069 0470|0536|0603) 0670/0737 1138}1204| 1271/1338) 1405 1805] 1872) 1939] 2006] 2072 2473) 2540|2607| 2673/2740 3141|3207|3274|3341|3408 3808/3875 3942|4008) 4075 4475)4542|4609|4676|4742 5143|5209/5276/5343)/5410 5810|5877 5943|6010|6077 6477|6544|6610|6677'6744 7144)721117277|7344|7411 781 1|7877|7944| 801 1/8077 8478|8544|861 1|8678|8744 9144 9211|9278|9344\9411 # 9811/9877|\9944) e011 0077 814 0477/0544|0610|0677/0744 1144}1210|1277|1343|1410 1810] 1876!1943!2010|2076 Gee 1 2 83 ee Se. Gane &8i 09 2661)2729| 2796) 2863/2930 3333}3401|3468) 3535/3602 4006) 4073)4140|4207|4274 4678|4745)| 481 2|4879|4946 5349|5417/5484|5551|5618 6021|6088|61 56/6223|6290 6693|6760/6827/6894/6961 7364/7432|7499| 7566/7633 8036/8 103/81 70/8 237/8304 8707|8774|8841|8909|8976 378|9446)951 3|9580|9647 ei ue any aa 2318 0721|0788)0855}0922|0989 1392|1 459] 1526] 1593] 1660 2062|2129/2197|2264/2331 2733} 2800) 2867|2934| 3001 3404|3471|3538)|3605|3672 4074|4141|4208)4275|4342 4745|481 2|4879|4946/5013 5415|5482|5549|5616|5683 6085/6152|6219/6286/6353 6755/68 22|6889/6956)7023 7425|7492|7559| 7626/7693 8095/8 162/8229/8296/8363 8765|8832|8899/8966| 9033 9435|9502}9569/9636/9702 0104}0171/0238}0305)0372 0774|0841}0908|0975| 1041 1443|1510]/1577|/1644}1711 2112/2179|2246| 2313/2380 278 2| 2848) 2915| 2982/3049 3451|3518|3584| 3651/3718 4120|4186} 4253|4320|4387 4788| 4855) 4922|4989|5056 5457/5524] 5591|5658)5725 6126/61 93/6260/6326|/6393 6794|6861 |6928/6995|7062 7463)7530|7597| 7663/7730 8131|8198)8265|8332|8399 8799|8866|8933}9q000| 9067 9468|9534|9601/9668|9735 0136/0202|0269|/0336|0403 0804|0870|0937]1004| 1071 1471|1538]1605|1672|1739 2139|2206) 2273] 2339] 2406 2807| 2874] 2940|3007|3074 3474|3541|3608|3675/3741 4142|4209| 4275|4342|4409 4809) 4876] 4943}5009|5076 5476|5543|5610|5676/5743 6143/6210|6277|/6344/6410 6810/6877|6944|7011|7077 7477|7544|761 11767717744 81 44/821 1|8278|8344|8411 8811|8878/8944)g011 9078 9477|9544|9611|9677|9744 0144|0211|0277|0344|/0411 0810|0877|0944] 1010] 1077 1477|1543|1610|1677|1743 2143/2210122796)2343 2409 aan. On ead S.,* 9 Diff. 67 Diff. 95 Diff. & Mult. 67 134 201 268 335 4o2 469 536 603 OO OW AOR Wb 66 132 198 064 330 396 462 528 594 OO OY AHOAHR wn ew Diff. & Mult. ‘.. ; co 96 LOGARITHMS OF NUMBERS. | Num. Osa: ee 4. 52 6 uth SB SD Diff. | Diff. & Mult, | 6520 | 814 2476) 2543|2609 2676\2742 AL 2876) 2942|3009|3075 | 21 3142|3209 3098 3342/3408 | 3475|3542|3608)3675|3741 ‘ 22 3808|3875|3941'4008|4074 | 4141|4207|4274|4341|4407 i 23 4474\4540|4607 4674/4740 | 4807/4873) 4940|5006|5073 ) 24 §140|5206|5273 5339/5406 | 5472|5539|5605|5672|5739 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 65 30 132|9198}9265,9331|9398 | 9464)9531|9597|9664/9730 1 | 6a 31] * Bee 3363 becloe6 2063 ee 29/0196 Sa 4 a5 0395 2 | 13470 32 | 815 0462/0528|0595'0661/0728 | 0794|0861)0927|0994| 1060 3 | 201 32 1127|1193|1260'1326|1392 | 1459|1525 ae 1658|1725 4 | 268 34 1791|1858]1924]1991|2057 | 2124/2190/2257)2323|2389 5 | 339 a 2456|2522|2589/2655|2722 | 2788]2855}2921|2988|3054 : ye 36 3120|}3187)3253|3320|3386 | 3453|/3519|3586|3652|3718 8 £36 37 3785/3851|3918|3984|4051 | 4117|4183|4250)4316 4383 6da 38 4449|4516|4582\4648|4715 | 4781|4848]4914|4981|5047 aa 16 39 §113}5180|5246/5313/5379 | 5445|5512|5578)5645|5711 65 40 5777|5844|5910|5977|6043 | 6109/6176|6242|6309/6375 4I 6441|6508/6574|6641|6707 | 6773|6840|6906|6973|7039 42 7105|7172|/7238|7305|7371 | 7437/7504|7570|7636|7703 43 7769|7836|7902|7968|8035 | 8101|8167|/8234|8300|8367 44 8433|8499|8566|8632|8698 | 8765)8831|8897/8964|9030 45 9097|9163|9229\9296|9362 | 9428)9495|9561|9627|9694 46 * 9760 306 2308 ES os oa D) 2188 Bay, es I 2359 47 | 816 0423)0490/0556|0622|0689 0785 0821/0888 be 1020 48 1087 1133 1219}1286|1352 | 1418)1485|1551|1617|1684 49 1750|1816/1883)1949|2015 | 2081|2148|2214|2280|2347 65 50 2413|2479|2546|261 2/2678 | 2745)281 1/2897 2943|3010 ST 3076) 3142|3209 3275/3341 | 3407|3474/3540|3606|3673 52 3739|3805|3871|3938|4004 | 4070|4137|4203|4269|4335 53 4402|4468}4534| 4600|4667 | 4733|4799|4866|4932|4998 54 5064|5131)5197|5263|5329 | 5396|5462 5528/5594|5661 55 5727|5793|5859|5926|5992 | 6058|6124/6191|6257/6323 56 6389/6456|6522/6588|6654 | 6721|6787|6853|6919/6986 57 7052|7118}7184|/7251|7317 | 7383|7449|7515}7582|7648 | 58 7714|7780| 7847791317979 | 8045|8111|8178/8244|8310 59 8376|8443/8509|8575|8641 | 8707/8774|8840/8906|8972 65 60 9038/9105|9171\9237|9303 | 9369|9436)950219568) 9634 61 | * 9700/9767|9833)9899|9965 | #031]0098|0164]0230/0296 1 | 6am 62 | 817 0362|0428)0495|0561|0627 | 0693)0759|0826|0892 0988 a | #am 63 1024|10g90|1156|1223/128g | 1355]1421|1487|1553)1620 3 | 198 64 1686|1752/1818]1884|1950 | 2017|2083|2149]2215)2281 4 | 264_ | 65 2347|2413|2480|2546)2612 | 2678)2744|2810|2876)2943 5 | 330m 66 3009|3075|3141|3207|3273 | 3339}3406)3472|3538|3604 6 | 396 67 3670|3736|3802|3869|3935 | 4001)4067|4133|4199|4265 7 | 462 68 4331|4398| 4464) 4530|4596 | 4662|4728|4794|4860|4927 8 | 528 69 4993|5059|5125|5191|5257 | §323)5389/5455|5521|5588 9 | 594. 65 70 5654/5720|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 7536|7702|7768|7835|7901 | 7967|8033)\8099|8165|8231 74 8297|8363/8429|8495|8561 | 8627|8693/8759|8825|88g2 | 75 8958)9024|9090|9156)9222 | 9288|935419420|9486\9352 | 76 * 9618}9684|9750 381619889 5548 7 rdloo8olor 46 pane ( 77 | 818 0278}0344)0410|0477|0543 | 0609|0675|0741|0807|0873 | 78 0939|1005|1071|1137}1203 | 1269/1335|1401|1467|1533 a 79 1999!1665!173111797!1863 | 1929!1995l2061121 27/2193 | Num. On. bo Ry yd 4 9.) 6. 37) ge ee Dit| Dish e Mal Ww eb y ' LOGARITHMS OF NUMBERS. 97 Num. ee 2 oe WO. <4 6580 | 818 2259)2325 re 2457|2523 81 2919|2985|3051/3117/3183 82 3290 3645|3711/3777|3843 83 4239|4305|4370|4436) 4502 84 4898) 4964|5030/5096|5162 85 5558) 5624/5690/5756/5822 86 6217|6283/6349|6415/6481 87 6877|6943|7008|7074|7140 88 7536|7602/7668|7734/7800 89 8195/8261 |/8327|/8393|8459 65 90 8854|8920|8986|9052/9118 | 9E | * 9513/9579)/96451971 119777 92 | 819 0172/0238/0304]0370)/0436 93 0831}0897|0962| 1028) 1094 94 1489] 1555|1621|1687|1753 95 2148|2214|2280|2346) 2411 96 2806) 2872/2938|3004/3070 97 3465/3531 |3597|3662|3728 | v2 98 4123) 4189|4255|4321/4386 99 4781|4847|4913|4979|5045 | 66 00 5439|5505|5571|5637/5703 {Or 6097|6163|6229 ek 6360 02 6755/68 21|6887|6953|7018 | 03 7413|7479|7545|7610) 7676 [ tO4 8071|8136/8202|8268/8334 05 8728|8794|8860|8925|8991 06 9386 olby 9517/9583] 9649 07 | 820 0043|/0109|0175|0240/0306 Y L608 0700|0766/0832 wee 0963 | 1 09 1358} 1423] 1489]1555| 1620 66.10 2015] 2080/2 146]2212|2277 | onal 2672/|2737/2803/2869|2934 {| eee? 3328/3394|3460| 3525/3591 13 3985 4oer 4117|4182|4248 14 4642|4708| 4773] 4839) 4905 15 5298/5364/5430|5495|5561 16 5955/6021|6086|6152|6218 17 6611/6677/6743/6808|/6874 18 7268) 7333|7399|7464|7530 19 7924\7989|8055|8121|8186 66 20 8580/8645|8711|8777|8842 | pat 9236/9301 |9367|9433| 9498 22 * 9892|9957|4023 0089/0154 23 | 821 0548|0613|0679|0744|0810 24 1203|1269}1334|1400| 1465 25 1859] 1924)1990| 2055/2121 26 2514 2880 2645|2711|2776 27 3170|3235!3301|3366/3432 f a6 3825|3891|3956|4022| 4087 | 139 4480\4546| 461 1|4677| 4742 66 30 5135|5201!5266/5332|5397 ‘pest 5790|5856|5921|5987|6052 f hee 6445\651 116576 6642|6707 33 7100|7165|7231|7296|7362 34 7755|7820|7886|7951|8017 ae 8409|8475|8540|8606|8671 | 36 9064/91 29/9195|9260\9326 _ 37 | .* 9718/9784|984919914|9980 38 | 822 0372/0438}0503\0 69|0634 39 1027| 109211158 122311288 Num. 0 1 2 ot oe Go? Fi BS 89 2589) 2655) 2721|2787/2853 3249/3315|3381|3447|3513 3909)3975|4041|4107|4173 4568) 4634|4700|4766) 4832 5228)/5294|5360/5426/5492 5888}5953/6019/6085)6151 6547|/6613/6679|6745|681 1 7206)727217338|7404|7470 7866/7931|7997/8063/8129 8525/8591 |8656/87 22/8788 9184/9250!9315|9381|9447 9843) 9908 |9974|+040|0106 0501|0967/0633/0699)0765 1160] 1226) £292|1358)1424 1819} 1885) 1950|2016) 2082 2477| 2543} 2609] 26752741 3136)3202|3267|3333|3399 3794|3860)|3926/3991|4057 4452}4518| 4584] 4650/4715 5110|5176|/5242|5308|5374 5768)5834/5900/5966|6032 6426/6492|6558|6624 6689 7084}7150)7216}7281/7347 7742|7808) 7873|7939|8005 8399|8465|8531 bo? 9057/91 23|9188|9254/9320 9714|9780|9846)991 2/9977 0372|0437|0503|0569|0635 1029/1095|1 160|1226/ 1292 1686) 1752/1817|1883/1949 2343} 2409] 2474/2540) 2606 3000}3066/3131|3197|3263 3657}3723|3788/3854/3920 4314)4379|4445|4511|4576 4970}5036|5102)5167/5233 5627/5692|5758|5824|5889 6283/6349/6414}6480|6546 6939|7005|7071/7136/7202 7996|7661|7727|7793/7858 Diff. | Diff. & Mult. 66 OO COr~ Mow wb wr Oo |S) e) 8662 8252/8317|8383 8449/8514 8908 |8973\9039|9105/9170 9964) 9629] 9695|9761 |9826 meas 0220|0285/0351|0416|0482 3.) tdo 0875|0941|1007|1072/1138 a Toh 1931|1597|1662/1728/1793 % seo 2187/2252/2318|2383|2449 ip BaD 2842/2908) 2973| 3039/3104 6 | 390 3497|3563| 3628) 3694/3759 7 | 455 4153)4218|4284)4349|4415 8 | 520 4808) 4873] 4939|5004|5070 9 | 585 5463|5528/5594|5659/5725 6118|6183)/6249/6314/6380 6773|6838/6904 6969|7034 7427|7493|7558)/7624|7689 8082/81 47/8213/8278|8344 8737|8802|8867|8933|8998 9391/9456|9522 of 4045/0111/0176|0242!0307 0700/0765} 0830 0896/0961 1354'1419'1485'1550!1615 13 87/9653 ee th Nee as. 9 Diff, | Diff. & Mult. 98 Num. LOGARITHMS OF NUMBERS. Od oS #854 6640 | 822 1681/1746/1812|1877\1942 Num. * 2335} 2400] 2466] 253125 2989|3054)3119/3185)3250 3643)3708|3773|3839)3904 4296) 4362|4427|4492|4558 4950)5015}5081|51 46/5211 5603|5669|5734/5799/5865 6257/6322/6387/6453/6518 nee 6975|7941|7106/7171 7963|7629|7694/7759)|7825 8216/8282/8347|841 2/8478 8869/8935|9000/9065/9131 9522/9588}9653/9718/9784 823 0175|0241/0306|037 1/0436 0828/0893/0958| 1024} 1089 1481/1546) 1611|1676| 1742 2.133}2198}2264) 2329/2394 2786] 285 1/2916) 2981|3047 3438|3503| 3568/3634) 3699 4090|4155|4221|4286/4351 4742|4808 5394/5460 6046/6111 6698/6763 7350/7415 8002/8067 8653|8718 9305/9370 4873|4938|5003 5525|55g0/5655 6177/6242|6307 68 28|/6894|6959 7480/7545|7611 8132/8197/8262 8783/8849|8914 94359500} 9565 By Bet ea We) 2008|2073|2139/2204| 2269 2662|2727|2793/2858 ae 3316)3381|3446) 3512/3577 3969) 4035)4100 4166/4231 4603 4688) 4754 4819) 4884 5277|5342|5407|5473|5538 5930/5995|6061|61 26/6191 6583/6649/6714|6779|6845 7237|7302|7367|7433|7498 7890/7955 |8021|8086/8151 8543|8608}8674|8739|8804 9196/9261|9327|9392/9457 9849 9914 9979|#045|O110 0502|0567|063 2|0697|0763 1154|1220|1285}1350\1415 1807|1872/1937|2003|2068 2459}2525)25g90}2655|2720 3112/3177/3242|3307|3373 3764|3829|3894|3960|4025 4416|4481|4547| 461 2/4677 5068/5134|5199|5264/5329 5720|5786 6372/6437 7024|7089 7676|7741 8327/8392 897919044 9630/9695 5851/5916)5981 6503/6568 |6633 7154|7220|7285 7806) 7871/7936 8458|8523|/8588 9109|9174|9239 9761/9826/9891 * 9956|4021\0086)01 51/0216 824 0607|0672/0737/0803|0868 * 825 0364 0429|0494)/0 1258) 1323) 1389/1454) 1519 1909} 1975|2040| 2105/2170 2560} 2625} 2691| 2756) 2821 3211|3276)3341/3406|3472 3862|3927|3992|4057|4122 4513/4578) 4643|4708| 4773 5163)5228/5293/5358}5423 5814|5879|5944|6009|6074 6464/6529 6294 6659/6724 711417179|7244|7310)7375 7765|7830)7895|7960|8025 8415|8480|8545|8610/8675 9065/9130|9195/9260|9325 9715|9780|9845 ee 9975 59|0624 IOI 4/1079|1144]1 209] 1274 1664|1729|1794 1859]1924 2313}2378|2443|2508 2bq3 2963)3028)3093/3157|3222 361 2|3677|3742|3807|3872 4261|4326|4391|4456| 4521 4910|4975|5040|5105|5170 9559)5624|5689|5754|5819 6208/6273|6338/6403|6468 6857/6922|6987|7052|7117 7506|7571|7636/7700| 7765 8154|8219/8284|8349|8414 8803|8868)8933)/8998/ 9062 * 9451/9516/9581|9646| 9711 99 | 826 o100/0165!02291029410359 Ded Me mB: 4. 028210347|0412|0477|0542 0933/0998} 1063/1128|1193 1584)1649]1714|1779|1844 2235] 2300] 2365) 2430)2495 2886) 2951|3016|3081|3146 3537|3602|3667|3732|3797 4187}4252|4318|4383|4448 4838 eee 4968|5033/5098 5489|5554|5619|5684|5749 6139|6204|6269|6334|6399 6789|6854/6919/6984|7049 7440|7505|7570|7635|7700 8090|8155)8220/8285|8350 8740|8805|8870/8935}g000 9390|9455|9520/9585|9650 #040/0105/0169|0234|0299 0689]/0754)0819/0884|0949 1339|1404| 1469] 1534/1599 1988}2053)2118)2183|2248 2638} 2703} 2768] 2833) 2898 3287|3352|3417/3482|3547 3937|4002|4066/4131/4196 4586|4651|4716|4780|4845 5235|5300|5365|5430|5494 5884|5949)/60 1 4}6078/6143 6533/6598)/6662|6727|6792 718117246|731 1|7376/7441 7830}7895)7960|8025|8090 8479|8544|8608/8673/8738 9127/9192|9257/9322|9387 9776|9840|9905)9970|+035 0424/0489!055410618!0683 9; 6. af BS SRo ta, lo COI ODOwh wp - 65 O OWN ANHR wd Ww ———_—_——$—$—$— $$ Diff. | Diff. & Mult. | Diff. | Diff. & Mult, | ] | Num. 6700 | 826 0748)0813)0878 LOGARITHMS OF NUMBERS. | bie J lee 1396) 1461| 1526 2044 2109|2174 2692|2757|2822 3340|3405|3470 3988)4053/4117 4635|4700| 4765 5283/5348/5413 5931|5995|6060 6578|6643/6707 7225/7290/7355 7872|7937|8002 8519/8584) 8649 9166) 9231/9296 * 9813|9878!9943 827 0460/0525 0590 1107|1172/1236 1753|1818)1883 2400]2465) 2529 3046|3111/3176 6277|6342|6406 3 4 0942)|1007 1591|1655 2239) 2303 2887] 2951 3534/3599 4182/4247 4830} 4895 5477/5542 6125|6190 6772/6837 7419/7484 8067/8131 8714/8778 9361/9425 #007|0072 0654]0719 1301|1366 1947|2012 2594} 2659 3240|3305 D102, ¥0'8. 5:9 1072/1137}1202/1267/1331 1720|1785/1850| 1915/1979 2368) 2433)2498) 2563) 2627 3016) 3081|3146/3210|3275 3664] 3729|3794| 3858/3923 4312|4376|4441|4506|4571 4959|5024|5089/5154/5218 5607)/5672/5736|5801|5866 6254631 9}/6384|6448/65 13 6902|6966|703 1/7096)7160 7549|7614|7678}7743|7808 8196/8261 /8325|8390/8455 8843|8908)8972|9037|9102 490|9555|9619|9684/9749 3135 0201|0266|0331|0395 0784}0848|0913}0978] 1042 1430]1495| 1560] 1624 er: 2077/21 41/2206)2271|233 2723|2788/2852/2917/2982 3370|3434]3499|3563| 3628 4016|4080!4145|4210/4274 4662|4727|4791|4856|4920 5308|5373|5437|5502|5567 5954/6019/6083/61 48/6212 6600/6665 /6729|/6794|6858 * 9505/9 828 0151/0215|0280|0344 0409 6923|6987/7052|7117/7181 7969/7633) 7698/7762) 7827 8214|8279)8343/8408/8473 8860 6 8989|9053|9118 70|9634)9699|9763 0796/0860)0925|0989| 1054 1441|1506)1570|1635] 1699 2086) 2151/2215) 2280)2344 2731|2796) 2860/2925] 2989 3376/3440) 3505|3569|3634 402114085] 4150| 4214 4279 4665/4730! 4794) 4859|4923 5310|5375|5439|5503|5568 5955|6019/6083/61 48|6212 7246|7310 7891/7956 8537|8602 7375|7439|7504 8021/8085|8 150 8666/8731 /8795 6599|6663/6728 7243|7308)/7372 7887/7952/8016 8532/8596/8660 9176/9240] 9304 6792|6857 7437|7501 8081/8145 8725|8789 9369/9433 * 9820|9884|9948)4013/0077 829 0463/0528/0592|0656|0721 1107|1171|1236)1300)1365 1751}1815|1879|1944| 2008 2394) 2459] 2523/2587] 2652 3038|3102/3166|3231|3295 368 1|3745}38 10|3874|3938 4324|4389|4453 4517] 4582 4967|5032 9 5160/5225 5611|5675]5739|5803/5868 6254/6318/638216446/6511 6896|6961|7025 7089|7154 7539/7603} 7668) 7735 7796 8182|8246/8310 8375 8439 8824/8889!8953|9017|9081 Bg A. = R d 9183! 9247/931 2|9376/9441 98 28] 9893/9957| 4022/0086 0473|0538/0602|0667|0731 T119|1183/1248/1312/1377 1764} 1828] 1893}1957/2022 2409] 2473) 2538) 2602/2667 3054]3118|3183|3247/3312 3698|3763}|3827| 3892/3956 4343| 4408) 4472|4537|4601 4988/5052|5117|5181|5246 5632|5697/576 1 |58 26/5890 6277/6341 |6406/6470|6535 6921|6986/7050|7114 7179 7965|7630}7694|7759}7823 8210/8274|8338|8403/8467 8854|8918|8982|9047|9111 9498|9562|9626] 969119755 0141|0206|0270|0335|0399 0785) 0850)0914|0978| 1043 1429}1493)/1558) 1622] 1686 2073] 2137|2201|2266}2330 2716]2780)2845|2909|2973 3359)3424|3488|3552|3617 4003|4067|4131/4196|4260 4646) 4710|4775|4839|4903 5289/5353)5418/5482|5546 5932|5996|6061 |61 25/6189 6575|6639|6704|6768/6832 7218)7282/7346\7411|7475 7861/7925) 7989|8053/8118 8503/8567|8632|8696|8760 914619210|9274/933819403 a 2° OD Diff. Diff. Ke CON AOW wry 99 Diff’ Mult. 65 130 195 260 325 390 455 520 585 64 128 192 326 320 384 448 S12 576 Diff. & Mult. LOGARITHMS OF NUMBERS. Rr i: Boe: SA * 9467/9531|9595|9660\9724 830 0109|0174|0238}0302|0366 0752|0816/0880)0944) 1009 1394|1458}1522)1587|1651 2036] 2100|2164}2229|2293 2678] 2742|2806| 2871/2935 3320/3384|3448|3512|3577 3962| 4026) 4090 4604) 4668} 4732 5245|5309/5373 5887|5951|6015 6528/6592|6656 7169|7234|7298 7811|7875|7939 8452|8516)8580 9093/9157/9221 9734|9798| 9862 0375}043g9|0503 1016| 1080/1144 1656|1720|1784 2297| 2361/2425 2937| 3001/3066 3578} 3642/3706 4218|4282|4346 4858] 4922|4986 5499|5563|5627 6139/6203/6267 6778|6842|6906 4154|4218 4796|4860 5438)5502 6079)6143 6721/6785 7362/7426 8003|8067 8644/8708 928519349 9926/9990 0567|0631 1208)1272 1849|1913 2489) 2553 3130/3194 3770|3834 4410|4474 5050/5114 5691|5755 6331/6395 6970/7034 7418|7482|7546|7610|7674 8058/81 22/8186)8250/8314 8698|8762|8826/8890/8954 9337|9401|9465|9529|9993 9977|#041|0105|0169/0233 0616/0680|0744|0808|0872 1255|1319}1383)1447|1511 1895] 1959/2022) 2086)2150 2534]2598) 2662|2725|2789 3173)]3237|3300|3364|3428 381 2|3875}3939| 4003] 4067 4450| 451 44578] 4642/4706 5089|5153)/5217|5281|5345 5728|5792|5855)5919|/5983 6366/6430|6494|6558/6622 7005|7069/7132/7196|7260 7643|7707|7771|7835|7898 8281|8345|8409|8473|8537 8919|8983|9047\9111/9175 9558}9621|9685 0195|0259|0323 0833}0897\0961 1471|1535)1599 2109}2173}2236 2746)2810|2874 3384)3448)3511 4021/4085) 4149 4659|4722|4786 9749|9813 0387/0451 1025|1088 1662/1726 2300] 2364 2938|3001 3575|3639 421214276 4850} 4913 5296|5360|5423 5933|5997|6960 6570|6634/6697 7207|7271'7334 Oe Toa. 5487|5551 6124|6188 6761|6825 739817462 3. 4 MIRE BE hr Ns te BRE) 9788|985219917|9981|4045 0431|0495}0559|0623|0687 1073|1137|1201|1265|1330 1715|1779|1843 ee 1972 2357|2421|2485| 2550/2614 2999|3063/3127|3192|3256 3641|3705|3769|3833|3898 4283|4347|4411|4475|4539 4924|4988)5053|5117|5181 5566|5630|5694|5758/5823 6207}6272/6336|6400|6464 6849|6913|6977|7041|7105 7490|7954|7618|7683|7747 8131/8195|8260|8324/8388 8772|8837|8g01 |8965|9029 9413)|9478|9542|9606|9670 4054/01 19}0183}0247|0311 0695|0759|0823|0887|0952 1336} 1400| 1464] 1528) 1592 1977|2041|2105|2169| 2233 2617) 2681 |2745| 2809) 2873 3258}3322/3386|3450|3514 3898)3962|4026|4090}4154 4538] 4602|4666| 4730/4794 5178|5242|5306)5371|5435 5819}5883|5947|6011|6075 6459|6523/6587|6651|6715 7098|7162|7226/7290|7354 7738}7802)|7866|7930/7994 8378|8442|8506|8570|8634 9018}9081|9145|9209|9273 9657|9721/9785|9849|9913 0296/0360|0424/0488|0552 ae 1000|1064/1128}1192 1575]1639|1703|1767|1831 2214|2278|2342|2406|2470 2853] 2917|2981|3045/3109 3492|3556|3620| 3684) 3748 4131|4195}4259| 4323) 4387 4770|4834| 4898) 4961|5025 5408|5472|5536/5600|5664 6047|6111|6175|6239/6302 6686]6749|6813/6877/6941 7324|7388|7452|7515|7979 7962|8026|8090/81 54/8217 8600/8664|8728/8792|8856 9238|9302|9366|9430|9494 | 9877/9940|+004|0068}0132 0514|0578|0642|0706|0770 1152|1216/1280]1344) 1407 1790/1854 bs 1981|2045 2428|2491|2555| 2619) 2683 3065}3129}3193|3256)3320 3703)3766|3830|3894)3958 4340| 4404) 4467/4531 }4595 4977|5041|5105|5168]5232 5614/5678/5742/5806|5869 6251|6315/6379|6443|6506 6888]6952!7016)7080/7143 752517589!7653!771617780 DG. Ted O wu Diff. Oo ONION wd Diff. & Mult. | Diff. | Diff. & Mult. | Num. Q2f 22 23 24 * 9441/9504|9 836 0075)0138|0201|0265|0328 LOGARITHMS OF NUMBERS. Ar S2° 33+ 4 Oe Oa 7 ee 8/39 6820 | 833 7844 7907 7971|8035|8098 8480|8544|8608|867 2|8735 9117/9181/9244}9308/9372 * 9754|/9817|9881/9945| 4008 834 0390]0454|0517 oe 81/0645 1027|1090)1154)1217|1281 1663] 1726/1790] 1854|1917 2299] 2363/2426) 2490)2553 ae 2999|3062)|3126}3190 3571|3635)}3698| 3762/3826 4207|4271|4334)4398|4461 4843] 4906) 4970|5034|5097 5479|5542|5606|5669|5733 6114/61 78|6241|6305|6368 6750/68 13|6877|6940|7004 7385) 7449|751 2|7576|763 8021/8084/81 48/8211 Souk 8656/87 19/8783/8846|8910 9291|9354)9418|9481|9545 * 9926/9990|¢053)0117/0180 835 0561|0625]0688)0751/0815 1196)1259}1323)1386}1450 1831|1894]1958)2021|2085 2465| 2529] 2592|2656)2719 3100}3163|3227|3290|3354 3735|3798)3861/3925/3988 py 4432|4496 4850 4623 5003|5067|5130/5194|5257 5638|5701|5764|58 28/5891 6272|6335/6398|6462/6525 6906|6969/7033|7096/715 hic ee 7666 i ae 8174|/8237|8300|8364|8427 8807/8871 ws 8997/9061 68)9631|9694 0708|0771|0835}0898|0961 1341|1405|1468)1531}1595 1975} 2038/2101|2165|2228 2608) 2671|2735|2798|2861 3241|3304}3368|3431|3494 3874] 3937|4001|4064|4127 4507 Heo 4634) 4697/4760 5140|5203|5267/5330/5393 5773|5836|5899|5963|6026 6405)6469/6532|6595|6658 7038/7101|7164|7228|7291 7670|7734|7797|7860 7938 8303|8366|8429|8493/8556 8935|8998|9062/91 25/9188 * 9567|9631\9694|9757/9820 837 0199|0263 Bie 2380 aus 0832|0895)0958] 1021/1084 1463|1527|1590|1653)1716 2095) 2158] 2222|2285|2348 2727|2790| 2853] 201712080 3359|3422|3485|3 43 361 I 3990) 4053) 4117|4180|4243 4622) 4685)}4748) 481114874 525315316/53791544215506 Lad Ihe Wiles are §162/8226/8289|8353)\8417 5799 8862 ches 8990}9053 9435}9499|9963 | 9626) 9690 0072/01 36}0199|0263)0327 0708/0772|0836|0899|0963 1345}1408| 1472/1536 ye 1981/2045]2108)2172/223 2617|2681|2744) 2808/2872 3253}3317|3380|3444|3508 3889]3953|4016| 4080) 4143 4525| 4589} 4652|4716!4779 5161|5224/5288)5351/5415 5796|5860)5924|5987|6051 6432|6496|6559|6623/6686 7067/7131 Gh 7258/7322 7703|7766|7830|7893|7957 8338 |8402/8465|8529/8592 8973|9037|9100|9164|9227 9609) 967219736)9799) 9863 0244|}0307|0371|0434|0498 0878]0942|1005| 1069/1132 1513|1577|1640|1704|1767 2148}221 2/2275) 2338] 2402 2783)}2846/2910]2973|3037 3417|3481|3544|3608}3671 4052|4115|4179|4242|4306 4686) 4750) 481 3|4876| 4940 5320/5384/5447|5511|5574 ey 6018|6081|61 45/6208 6 89|6652/6716/6779|6842 7223)7286|7349| 7413/7476 7857/7920|7983|8047|8110 8490|8554|8617|8681|8744 9124/9188)9251|9314)9378 9758|9821/9885|9948| ¢or1 0391|0455}0518)0581|0645 1025|1088]1151/1215}1278 1658}1721/1785|1848| tg11 2291|2355| 2418} 2481|2545 2925|2988|3051/31 15/3178 3558/3621|3684|3748|3811 4191|4254|4317|4381|4444 4824| 4887! 4950|5013|5077 5456|5520}5583/5646/5709 6089|6152|6216/6279|6342 6722|6785/6848|691 1/6975 7354|7417|7481|7544|7607 7987|8050/81 13/81 76/8240 8619|868 2|8745|8809/8872 9251|9314|9378|9441|9504 9883] 9947|¢010|0073}0136 0516]0579|0642|0705|0768 1147|1211/1274|1337|1400 17791843] 1906] 1969)2032 2411|2474|2538) 2601|2664 3043) 3106) 3169|3232)3296 3674|3738/3801|3864|3927 4306) 4369| 4432| 4495 1259 4937|5001|5064)51 27/5190 55691563 2/5695!575815821 Oe Ge at. 28 9 Diff. 1* Diff. 101 Diff. & Mult. 64 128 192 126 320 384 448 419 576 OO OYUN ONAN wWLH Cr AOR wb Go -_ Nn 567 : Diff. & Mult. LOGARITHMS OF NUMBERS. 102 Num. 0 1 2 3 4 6880 | 837 5884|5948|601 1\6074|6137 81 6516|6579|6642|6705|6768 82 7147|7210|7273|7336/7399 83 7778|7841|7904|7967|8030 84 8409|8472|8535|8598)/ 8661 85 039|9103|9166|9229| 9292 86] x 676 3033 Sect 9859/9922 87 | 838 0301|0364|0427\0490)0953 88 0931/0994] 1057/11 21|1184 89 1562|1625}1688) 1751/1814 68 go 2192/2255] 2318] 2381/2444 91 2822/2886) 2949|301 2/3075 92 3453)3516|3579|3642|3705 93 4083) 4146|4209|4272|4335 94 4713|4776|4839|4902|4965 95 5343|5406}5469|5532|5595 96 5973|6036/6098/6161|6224 97 6602|6665/6728|6791 |6854 98 7232|7295|7358}7421|7484 99 7861|7924|7987|8050/81 13 69 00 8491/8554|8617|8680/8743 oI 9120}9183/9246|9309|9372 02 | * 9750|/9812/9875/9938| +001 03 | 839 0379|0442|0505|0567/0630 o4 1008] 1071|1134|1197|1259 05 1637|1700]1763| 1826) 1888 06 2266] 2329] 23922454] 2517 07 2895) 2957/3020|3083/3146 08 3523|3586|3649|371 2/3775 09 4152|4215|4278/434114403 69 10 4780} 4843|4906| 4969|5032 Il 5409|5472|5535|5597|5660 12 6037|6100/6163/6226)6289 13 6666)6728|6791/6854)6917 14 7294|7357|7419|7482|7945 15 7922|7985|8047/8110|8173 16 8550/8613|8675|8738)/ 8801 17 9178]9241|9303}9366) 9429 18 | * 9806/9868/9931|9994| +057 19 | 840 0433|0496|055g9|0622/0684 69 20 1061|1124/1186)1249|1312 21 1688/1751/1814/1877/1939 22 2316)2379|2441|2504| 2567 23 2943|3006|3069|3132|3194 24 3571|3633}3696|3759|38 21 25 4198} 4260/4323] 4386|4449 26 48 25| 4888] 4950)}501 3/5076 27 5452)5515|5577|5640|5703 28 6079/6141|6204}6267|6330 29 6706/6768|683 1|6894/6956 69 30 7332)7395}7458|7520|7583 31 7959|8022|8084|8147|8210 32 8586)8648/871 1/8773|8836 33 921 2/9275|9337|9400|9463 34 | * 9838)9901/9964|+026)0089 35 | 841 0465)0527|0590/0653|0715 36 1091/£153|1216)1279|1341 37 1717|1780|1842|1905|1967 38 2343) 2406) 2468 | 2531|2593 39 2969! 303113094/3157\3219 Num 0 1 2 3.44 S26 fa FS 9 6200]6263|6326|6389)6452 6831/6894|6957|7020/7084 7462)7525|7588|7652|7715 8093|8156|8219/8282|8346 8724|8787|8850/891 3/8976 9355|9418)9481|9544/ 960 9986|+049|0112/0175)0238 0616/0679|0742|0805|0868 1247|1310}1373|1436|1499 1877] 1940)2003| 2066] 2129 2507/2570] 2633)]2696|2759 3138)3201}3264|3327|33g0 3768) 3831/3894 Au 4020 4398) 4461|4524|4587| 4650 5028/5091|5154/5217/5280 5658/5721/5784|5847|5g10 6287|/6350|6413|6476|6539 oot 6980|7043|7106|/7169 7947761 0|7673|7736|7798 8176|8239/8302|8365|8428 8806|8869/8931|8994|9057 9435|9498|9561 |962.4|9687 0064/0127/0190|0253)0316 0693|0756|0819|0882}0945 1322/1385|1448)1511|1574 1951|2014|2077|21 40/2203 2580) 2643)2706| 2769/2832 3209|3272|3335/3398|3460 3838] 3g00| 3963/4026] 4089 4466)| 4529] 4592|4655|4718 5095/5 158}5220/5283|5346 5723/5786|5849| 591 2/5974 63511641 4|6477|6540|6603 6980|7042|7105|7168}7231 7508] 7671|7733|7796|7859 8236|8299/8361 |8424/8487 8864/8927|8989|9052/9115 9492|9954|9617|9680/9743 0119|0182|0245|0308)0371 0747|0810)0873|0935)0998 1375|1437|1500|1563}1626 2002}2065|21 28] 2190/2253 2630] 2692/2755) 2818/2881 3257|3320|3382/3445|3508 3884|3947|4010|4072/4135 451 114574|4637| 4699) 4762 5138/5201|5264/5326|5389 5765)5828|5891/5953|/6016 6392/6455|65 18/6580) 6643 7019|7082|7144)7207|7270 7646|7708|777 1/7834) 7896 8272|8335/8398/8460) 8523 8899|8961|9024/9087|914 9525 9088 3650 ae ct 0152/0214 0277|0339|0402 0778)}0840)0903|0966) 1028. 1404|1467)1529\1592|1654 2030}2093|2155|2218)2280 2656/2719)2781|2844| 2906 32893344|34071347013532 De GO BT) aN ae Diff. ty By Diff. & Mult, ’ ef 1 i 128 192 256 320 63 OO OW AOR WDH & lo Cr HO wp 567 | i 1 ] | | Diff. | Diff. & Mult. | oO Num. LOGARITHMS OF NUMBERS. “Num. Gera £S #3. .4 6940 | 841 3595/3657|3720)3782/3845 At 4220|4283|4346|4408|4471 42 4846) 4909 ayn 5034|5096 43 5472|5534|5597|5659|5722 44 6097|6160|6222 6284 6347 4) 6723/6785 |6848|6910/6973 46 7348|7410|7473)7535|7598 47 7973|8036|8098/8 1618223 48 $298 8661/8723/8786|8848 49 9223!9286|9348)/ 9411/9473 6950 | * 9848)9911|9973|4036|0098 i 51 | 842 3493 3835 3608 0660 eas 52 1098}1 160] 1223}1285}1348 53 1722|1785/1847|1910|1972 54 2347|2409|2472 1334 2597 r39 2971/3034|3096) 3159/3221 56 3606 3658) 372 1|3783|3845 57 4220) 428 2|4345|4407|4470 58 4844] 4907|4969|5031|5094 59 5468}5531|5593|5656/5718 69 60 6092|6155/6217/6280|6342 61 6716|6779/6841/6904|/6966 62 7340|7403|7465| 7527/7590 63 7964|8026/8089|8151|8213 64 8588/8650/87 1 2/8775/8837 65 9211|9274/9336/9398|9461 66 | * 9835/9897 aes wout 2084 67 | 843 0458|0520/0583/0645|0707 68 1081/1144] 1206|1268}1331 69 1705|1767| 1829) 1892/1954 - 69 70 2328] 2390] 2452]2515|2577 71 ap 3013}3075|3138|3200 72 3574|3636|3698|376 1/3823 73 4197|4259|4321|4383| 4446 74 4819|4882)4944|5006|5069 75 5442|5504|5567 5629/5691 76 6065/61 27/6189/6251|6314 77 6687/6749/68 1 2|6874|6936 78 7310|7372|7434|7496|7559 79 7932|7994|8056)81 19/8181 ‘ 69 80 8554|8616 8679|8741|8803 81 9176|9239|9301|9363/9425 82 9798| 986 1|9923|9985| +047 83 | 844 0420}0483|0545|0607 0669 84 1042/1104]1167|1229/1291 85 1664|1726|1788)1851|1913 86 2286) 2348]2410|2472|2534 87 2907|2970|3032/3094/3156 88 3529|3591|3653/3715|3778 89 4150|4213|4275|4337|4399 _ 69 90 4772|4834|4896| 4958) 5020 gi 5393|5455|5517/5579|5642 92 601 4/6076|6138'6201|6263 93 6635|6697|6759|6822|6884 94 7256|7318|7380|7443|7505 95 7877|7939|8001|8063/8126 96 8498) 8560|8622| 8684/8746 97 9119)9181\9243]9305|9367 9 * 9739|9801|9863|9926|9988 99 } 845 0360!0422!0484'0546 7508 Oe 1 S2"a 9 on & 4 78 129 3908 3970|4033|4095/4158 | 4 33) 4596] 4658|4721/4784 §159/5221|5284/5347| 5409 5784|5847/5909 ure 6035 6410|6472|6535|6597/6660 7035}7098|7160}7223}7285 7660)7723/7785|7848|7910 8286/8348|8411|8473|8536 op 1|/8973|9036)9098|9161 9936) 9598|9661|97 23|9786 0160/0223|0285/0348)0410 0785|}0848|0910 oa 1035 1410|1472/1535|1597| 1660 2035] 2097) 2160}2222)/2284 2659) 2722|2784|2846] 2909 3284} 3346|3408|3471|3533 3908|3970|4033) 4095/4158 4532|4595|4657|4719|4782 5156|5219/5281|5344/5406 5780|5843]5905|5968|6030 6404|6467|6529|6592|6654 7028|7091|7153|7215|7278 76521771 4|7777|7839|7902 8276|/8338/8401|8463)/8525 8899|8962|9024|9086/9149 9523/9585|9648|9710|9772 0146|0209|0271|0333) 0396 0770|0832}0894|0957| 1019 1393)1455/1518}1580) 1642 2016} 2079] 2141|2203/2265 2639) 2702|2764|2826| 2889 3262|3325/3387/3449|3511 3885) 3948) 4010|4072|4134 4508)|4570|4633|4695/4757 5131|5193)5255|5318/5380 5753|5816/5878|5940|6002 6376|6438|6500/6563/6625 6998|7061|7123/7185|7247 7621|7683|7745|7808}7870 8243|/8305|8368/8430|8492 8865|8928|8990|9052|9114 9487|9550|961 2|9674| 9736 0109|0172|0234}0296/0358 0731|0794|0856|0918}0980 1353)1415/1478}1540} 1602 1975|2037|2099|2161|2294 2597| 2659] 2721|2783|2845 3218|3280|3343|3405|3467 38 40)3902|3964| 4026) 4088 4461|4523|4585|4647|4710 508 2|5145)5207|5269|5331 5704|5766|5828| 5890) 5952 6325|6387|6449,6511|6573 6946} 7008}7070)7132|7194 7567|7629|7691|7753|7815 8188/8 250/831 2/8374|8436 8808|8870/8933)/8995|9057 9429|9491\9553|9615|9677 4050/01 12/01 74|0236|0298 0670!073210794!0856!0918 eG as a8) 49 103 Diff. | Diff. & Mult. 63 126 18 se 315 378 441 5o4 567 lo Cry Doak wr ho CON AOD Gt Ww — & Diff. | Diff. & Mult. aah ” LOGARITHMS OF NUMBERS. Or 8D AaB ed 845 0980] 1042|1104|1167 1229 1601/1663) 1725|1787|1849 2221/2283/2345|2407| 2469 2841|2903/2965|3027/3089 3461|3523/3585|3647|3709 4081) 4143|4205|4267/4329 4701|4763|4825|4887|4949 5321|5383/5445|5507|5569 5941|6003/6065/61 27/6189 6561|6623|/6685|6746|6808 7180|7242|7304| 7366/7428 7800] 7862|7924|7986|8047 8419}8481/8543|8605|8667 9038) 9100|9162/9224)9286 * 9658]9720]/978 1|9843]9905 846 0277|0339|0401|0462|0524 0896]0958} 1020/1082]1143 1515/1577|1639|1700]1762 2134|2196)2257/2319)2381 2752] 281 4/2876) 2938|3000 3371|3433/3495|3557| 3619 3990}4052|4113|4175|4237 4608 | 4670|4732|4794| 4856 52.27/5289/5350/541 2/5474 5845|5907|5969/6031 |6092 6463/65 25|6587|6649|6711 7081|71 43|7205|7267)7329 7700|7761|7823/7885|7947 8318)/8379/8441|8503/8565 8935/8997|9059|91 21/9183 * 9553/9615|9677|9739|9800 847 0171|0233|0295|0356/0418 0789|0850|0g91 2}0974/ 1036 1406) 1468}1530| 1591] 1653 2024} 2085) 2147|2209| 2271 2641/2703)2764] 2826] 2888 3258] 3320/3382)3443)3505 3876|3937|3999|4061|4122 4493/4554) 4616|4678|4739 5110/5171/5233/5295|5356 5727|5788/5850] 5912/5973 6343|6405|6467|6528|6590 6960|7022!7084|7145|7207 7977|7639|7700|7762/7824 8193)8255|8317/8378/8440 8810/8872|8933/8995|9057 9426|9488|9550| 9611/9673 0043}0104|0166}0228/0289 0659}0721/0782|0844|0g05 1275/1337|1398/1460}1522 1891|1953}201 4/ 2076/2138 2507 2860 2630] 2692|2754 3123/3185)3246)3308 3369 3739|3800/3862|3924)3985 4355|4416 4478 4839 4601 4970)5032|5093/5155|5216 5586|5647|5709|5770}5832 6201/6263/6324/6386|6447 6817|6878|6940|7001| 7063 7432'7493!7555!7616!7678 Oe bh we 8S 4 Bib A ae we. 1291|1353|1415|1477|1539 I911|1973| 2035) 2097] 2159 2531|2593) 2655|2717|2779 3151|3213)3275|3337|3399 3771|3833}3895|3957|4019 4391|4453|4515)4577| 4639 §011|5073/5135|5197|5259 5631|5693|5755|5817|5879 6251|6313|6375/6437/6499 6870|6932/6994/7056|7118 7490/7552! 761 4|7676|7738 8109/8171/8233/8295|8357 8729/8791 |8853 ite 5 he: 9348]9410/9472|9534/9596 9967|*029]0091|0153}0215 0586/0648]0710|0772/0834 1205}1267|1329}1391}1453 1824/1886] 1948] 2010] 2072 2443} 2505] 2567/2629) 2691 3062}3124|3186|3247|3309 3680}3742|3804| 3866) 3928 4299|4361|4423)4485| 4546 4917|4979|5041|5103)5165 5536/5598/5660|572 1/5783 6154/6216/6278|6340|6401 6772|6834|6896|6958|7020 7391|7452}7514|7576| 7638 8009|8070/8132|8194/8256 8626|8688/8750)88 1 2/8874 92.44|9306}9368|9430}9491 9862|9924}9986|+047\0109 0480}0542|0603|0665|0727 1097|1159}1221|1283)1344 | £715|1777| 1838] 1900} 1962 23322394] 2456} 2518}2579 2950] 301 1}3073}3135|3197 3567|3629|3690|3752|3814 4184) 42.46] 4307| 4369) 4431 4801}4863)4925)|4986|5048 | 5418)5480}5542/5603 5665 6035}6097/6158}6220/6282 6652/671 4/6775|6837|6899 - 7269|7330|7392}7454}7515 7885} 7947|8009|8070/8132 8502|8563|8625|8687|8748 9118}9180|9241/9303)/9365 9735/9796|9858 9919/9981 0351041 2|0474|0536}0597 0967/1029! Logo}1152/1213 1384 1645|1706/1768) 1830 2199|2261}2322|2384| 2446 2815|2877| 2938] 3000/3061 3431}3493}3554 4047|4108|4170 4662) 4724) 4786 5278)/5340|5401 5893/5955|6017 6509)6570|6632 7124|7186|7247|7309|7370 7739'7801!7862!7924'7985 o 6 47 G8 ae Diff. | Diff. & Mult. "S ‘sy 62 lo CON AOR wd (Se) | joe) SO OW AON wp ae w = ° Diff. | Diff. & Mult: * Num. 7060 61 62 63 64 LOGARITHMS OF NUMBERS. PrP 3S eo. 4 848 8047|8109)8170|8232|8293 8662/8724|8785)/8847|8908 9277|9339|9400/9462|9523 9892/9954) ¢015|0077|0138 849 0507|0568] 0630]0691|0753 1122}1183) 1245} 1306/1368 1736) 1798) 1859] 1921/1982 2351|2412|2474)2535]2597 2965)3027/3088)/3150|3211 3580] 364 1|3703/3764)3826 4194|4256| 4317|4378|4440 4808} 4870] 4931|4993|5054 5423|5484| 5545|5607|5668 6037|6098/6159|6221/6282 6651|6712|6773/6835|6896 7264|7326|7387|7449|7510 7878|7940|8001/8062|8124 8492 $253 8615|8676|8737 9106/9167/9228|9290|9351 # 971919780}9842) 9903/9965 850 0333}0394|0455]0517}0578 eae 1007|1069|1130]1191 1959] 1621/1682|1743/1805 2172|2234/2295|2356| 2418 2786] 2847| 2908) 2969| 3031 3399|3460|3521|3582|3644 4011|4073|4134]4195|4257 4624) 4686|4747| 4808} 4869 5237|5298)5360/5421|5482 5850/5911|/5972|6034|6095 6462|6524/6585|6646|6707 7075|7136)7197|7299|7320 7687|7749|7810|7871|7932 8300|8361/8422|8483|8545 891 2|8973|9034|9095|9157 * 9524/9585] 9646|9708] 9769 851 0136]0197|0258/0320 2487 0748]080g9|0870|0932|0993 1360] 1421/1482)1544| 1605 1972|2033| 2094] 2155) 2216 2583} 2645] 2706| 2767/2828 3195}3256|3317|3379|3440 3807| 3868) 3929/3990|4051 4418|4479|4540| 4602| 4663 5030|5091/5152/5213/5274 5641}5702|5763/5824/5885 6252|6313/6374|6435|6496 6863 oa 6985|7046|7108 7474|7935|7596|7657|7719 8085/81 46|8207|8268/8329 8696|8757|88 18|8879|8940 9307|9368 9429|9490}9551 7 9979|#040|0101|0162 0528)0589|0650|071 110772 1139) 1200]1 261|1322|1383 1749|1810]1871\1932| 1993 2359] 2420]2481|2542| 2604 2970|3031}3092|3153|3214 3580]3641|3702|3763|3824 4190142511431 21437314434 | 4495145561461714678 4739 Get 1 2. Ge Sey Oued ee eo §355|8416|8478|8539|8601 8970/9031|9093|9154)9216 335 9646|9708|9769|983 1 9 ages Ve) 0199 0261032 2/0384/0445 081 4|0876}0937|0999) 1060 1429|1490|1552|1613/1675 2044|2105)2167| 2228/2289 2658} 2720|278 1|2843] 2904 3273}3334|3396|3457|3518 3887|3948| 4010/4071|4133 4501|4563|4624) 4686/4747 5115|5177|5238)5300/5361 5730|5791|5852|5914|5975 6344|6405|6466|6528|6589 6958}7019|7080/7142|7203 7971|7633|7694|7795|7817 8185|82.46|8308}8369/8431 8799|8860)8922/8983|9044 9412|9474|9535}9596)|9658 #026/0087/0149]0210)0271 0639}0701|0762/0823)0885 1253)1314]1375|1437|1498 1866] 1927|1988/ 2050) 2111 2479] 2540} 2602] 2663/2724 3092|3153/3215|3276|3337 3705|3766)3828)}3889|3950 4318] 4379|4440]| 4502/4563 4931|4992|5053)5115|5176 5273 5605|5666|5727|5788 6156/6217|6279|6340|6401 6769|6830/6891|6952|/7014 7381|7442|7504|}7565|7626 7993|8055/81 16|8177|8238 8606/8667 |8728|8789|/8851 9218|9279/9340/9402|9463 9830|9891]9952|¢014]0075 0442|0503|0564|0626|0687 1054/1115/1176|1238| 1299 1666|1727|1788|1849 eh 2278 | 2339|2400}2461|2522 2889] 2950/301 2|3073/3134 3501)}3562|3623| 3684/3746 4112|4174|4235|4296|4357 4724|4785| 4846] 4907|4968 5335|5396/5457|55 19/5580 5946|6008 6069/61 30/6191 6558|6619|6680|6741/6802 7169}7230|7291|7352|7413 7780|7841|7902|7963|8024 8391/8452|8513|/8574|8635 9001 9062/91 24/9185|9246 961 2|9673|9734|9795/9856 0223|0284|0345|0406|0467 0833|0894|0955/1017|1078 ¥444)1505) 1566) 1627|1688 2054}2115|2176| 2237/2298 2665] 2726/2787] 2848] 2909 3275|3336| 3397/3458) 3519 3885|3946|4007| 4068/4129 Se Gs 4.89 14 Diff. 61 Diff. 105 Diff. & Mult. COU Mob wb ww — io) COn Aon wp (Se) je) On 549 : | Diff. & Mult. 106 LOGARITHMS OF NUMBERS. Num, 7120 21 22 23 24 25 26 27 28 29 71 30 ar 32 33 34 35 36 71 40 71 50 " 2722|2783|2844]290 OFAN 63. V4 852 4800)4861 ae 4983|5044 5410|5471|5532|/5593/5654 6020|6081 |6142|6203/6264 6629|6690/675 1/681 2|6873 7239|7300|7361/7422|7483 7849|7910/7971|8032/8092 8458/8519/8580|864 1/8702 9068|9129/9189|9250/9311 * 9677|9738)9799| 9860/9921 853 0286|0347|0408|0469|0530 0895|0956)1017|1078] 1139 1504|1565| 1626) 1687|1748 2113|2174|2235/2296|2357 a ame 3331|3392|3453)3514|3575 3940] 4001|4062|4122/4183 4548) 4609| 4670) 473 1|4792 5157/5218|5279 5765|5826/5887|5948|6009 6374|6435|6495|6556|6617 6982|7043!7104}7165|7225 7590/7651/7712|7773/7834 8198/8259/8320/8381/8442 8807/8867 ite 8989|9050 9414|9475/9936 854 0022/0083/0144)0205|0265 0630|0691|0752|081 2}0873 1238/1299|1359|1420/1481 1845] 1906/1967| 2028/2088 2453 a 2574| 2635] 2696 3060/31 21/3182|3243|3303 3668) 3729|3789/3850 ve I 4275/4336] 4397|4457|4518 4882)|4943|5004}5064|5125 5489/5550|561 1|5671|5732 6096|6157|6218|6278/6339 6703)/6764|6825|/6885|6946 7310/7371|7432|7492 7917|7978|8038|8099|8160 8524/8584|/8645|8706|8766 9130]9191/9252\9312/9373 * 9737/9797/9858 9919 9979 855 0343/0404|0464}0 25|0586 Pee IOLO}LO7I|IL3T/1I1G2 1556) 1616/1677/1738|]1798 2162|2223/2283}2344/2404 2768) 2829] 2889) 2950/3010 3374|3435]3495|3556]3616 3980/4041|4101|4162|4222 4586/4646) 4707|4768| 4828 5192|5252/5313/5373/5434 5797|5858|5918/5979/603 6403|6463/6524/6584 6642 7008|7069/71 29|7190/7250 7614|7674]7735|7795|7856 8219}8280/8340|8401|8461 8824|8885/8945|qo006|9066 9429/9490|9550|961 119672 856 0035)0095|0156/0216}0277 0640107001076 11082 110882 Oees bie, Bo 4 BG et PO AQ 5105|5166|5227|5288|5349 5715|5776/5837/5898/5959 6325/6386|6447|6508|6568 6934|6995|7056/71 17/7178 7544|7605|7666/7727|7788 8153|8214/8275|8336|8397 8763|8824|8885|8946| 9007 937219433|9494|9955|9616 9982 #042|0103}0164|0225 0591|0652|0713/0773|0834 1200|1261|1322|1383)1443 1809|1870 aie 1992/2052 2418]2479]2540|2600)2661 3027/3088] 31 48/3209|3270 3635}3696|3757|38 18/3879 4244|4305|4366|4427|4488 4853) 4914|4974|5035|5096 546115522|5583|5644|5705 6070)6130|6191|6252/6313 6678|6739|6800|6860)692 1 7286|7347|7408|7469|7530 - 7894|7955|8016|8077|8138 8502|8563|8624|8685|8746 GL 10/9171|9232|9293 9354 971819779|9840/990 1/9962 0326/0387/0448|0509|0569 0934]0995| 1056] 1116/1177 1942 "ite: 1663)1724|1785 2149/2210/2271/2331|2392 2757|2817| 2878] 2939|3000 3364|3425|3486|3546|3607 3971|4032|4093|4154)4214 4579|4639|4700|4761 |4822 5186}5247|5307|5368)5429 5793|5854/5914|5975|6036 6400/6461 16521 |6582|6643 7007|7067|71 28/71 897249 761 4|7674|7735|7796|7856 8220|8281/8342|8402/8463 8827/8888 |8948|go09|9070 9433949419555) 9615} 9676 4040/0101/0161|0222/0283 0646|0707|0768/08 28 oe 1253}1313}1374}1435|149 1859|1919|1980/2041/2101 2465} 2526) 2586) 2647] 2707 3071]3132]3192/3253/3313 3677|3738|3798|3859|3919 4283|4343|4404|4465'4525 4889) 4949|5010/5070)5131 5494|5555/5616|5676) 5737 6100/6161/6221|/6282/6342 6706|6766|6827/6887/6948 7311|7372|7432|7493|7553 7916)7977|8037| 8098/8159 8522|/8582|8643|8703/8764 9127|9187/9248 9308 9369 9732/9793|9853)9914)9974 0337|0398|0458|0519.0579 094211002!1063! 1123 1184 lo COI AMOR whd OO OI HAO Wd Dit. | Diff. & Mule x 61 122 183 244 305 366 427 ‘ca mn 488 | | 549% e EN 9 ie a eR eS 3 6007 ai8 Ri Diff. Diff, & Mult] } \e LOGARITHMS OF NUMBERS. 107 Num. we oe 8S + 4 5 6 7 8 9Q | Dif. | Dif. & Mult. 7180 | 856 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 ante 4449/4509 | 4570|4630|4691|4751|4812 86 4872|4933)4993|5053/5114 | 5174)5235 5295|5356|5416 87 5476 5B3y tas 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 71 90 7289|7349|7410|7470/753r | 7591|7651)7712|7772|7832 I 61 gI 7893|7953|8014|8074/8134 | 8195|/8255)8316|8376|8436 2) 122 92 8497|8557|8618|8678|8738 | 8799/8859|8919|8g80|9040 3 | 183 93 9101 /9161/9221|9282|9342 | 9402|9463/9523)9584|9644 4 | 244 94 | * 9704/9765|9825)9885!9946 | ¢006/0067/0127/0187/0248 5 it 99 | 857 0308|0368)0429/0489|0549 | 0610/0670\0730\0791/0851 : - 96 lie 0972/1032}1093/1153 | 1213 1274 1334|1394|}1455 8 | 488 97 1915/1575) 1636] 16961756 | 1817/1877}1937| 1998) 2058 549 98 2118) 2179|2239/2299|2360 | 2420/2480 ha 2601/2661 ES ak 99 2722|2782)2842)2903/2963 | 3023/3084/3144|3204|3265 72 00 3325|3385|3446|3506|/3566 | 3627|3687|3747|3807|3868 Ol 3928 |3988|4049|4109|4169 | 4230|4290/4350|441114471 02 4531\4591|4652|471 214772 | 4833 4893|4953|5014|5074 03 5134|5194|5255|5315|5375 | 5436|5496|5556|5616/5677 04 .5737|5797|5858)5918/5978 | 6038/6099/6159/6219|6280 05 6340)\6400/6460|6521/6581 | 6641/670116762'6822|6882 06 6943|7003/7063)71 23/7184 | 7244|7304|/7364)7425|7485 07 -7945|7605|7666|7726/7786 | 7847|7907|7967|8027|8088 08 8148|8208)8268|8329 8389 | 8449|8509|8570|8630/8690 09 8750/8810/8871|8931|\8991 | 9051/911219172/9232|9292 72 10. 9353}9413|9473|9533|9594 | 9654|971419774'9835)9895 11 | * 9955)4015|0075}0136)0196 | 0256/0316|0377/0437|0497~ 12 | 858 2859 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)2123/2183/3243!2303 15 2363} 2424|2484|2544|2604 | 2664)2724]2785)2845|2905 16 2965| 3025) 3086/31 46/3206 | 3266/3326|/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|50rr | 5071/5132/5192/5252/5312 72 20 5372|5432!5492|5552|5613 | 5673/5733|5793|/5853 oor 21 5973|6034|6094/6154/6214 | 6274/6334/6394'6455/6515 pitta. 22 6355 6635/6695|6755|6815 | 6876/6936|6996/ 7056/7116 Pee 23 7176}7236|7296|7357|7417 | 7477|7537|7997|7657|7717 Pith 9 24 7777|7837|7898|7958|8018 | 8078|/8138/8198 8258|8318 a be 25 8379|8439 8499|8559|8619 | 8679/8739'8799/8859/8919 5 | 300 26 Boi ade ees 5160 oie ob 9340 oieoin4ba 9520 6 | 360 — 27 | = * =9981\9641\9701|9761/9821 | 9881/9941) ¢001\0061/0121 7 | 420 : | 6 28 | 859 0181/0242/0302/0362/0422 | 0482}0542}0602|0662/0722 8 | 480 eet + 29. 0782|0842|0902|0962/1023 | 1083}1143)1203)1263)1323 9 | 540 72 30 1383|144311503|1563|1623 | 1683!1743|1803/1863)1924 31 1984|2044|2104|2164|2224 | 2284/2344|2404|2464) 2524 32 2584|2644|2704|2764)2824 | 2884) 2944)3005 3065/3125 33 3185 |3245)3305|3365|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 36 4986 |5046)5106|5¥66/5226 | 5286)5346/5406 5466/5526 37 5586 |5646|5706|5766/5826 | 5886'5946\6006 6066|61 26 38 6186)6246 6306)/6366|/6426 | 6486'6546,6606 6666/6726 | 60 39 6786 6846 6906|6966'7026 | 7086'7146|7206'7266' 7326 Num. hi. IS Pe oak Diff. | Diff. & Mult. Bia rOrgul 4) 8:19 108 LOGARITHMS OF NUMBERS. Num. 0 1 2 3 4 7240 | 859 7386|7446|7506 7966/7626 AI 7985|8045|8105/8165)8225 42 8585|8645|8705|8765|8825 43 9185|9245|9305|9365/9425 44. | * 9784|9844)9904|9964)4024 45 | 860 0384)0444)0504|0564|0624 46 0983} 1043|1103/1163)1223 47 1583]1643) 1702] 1762|1822 48 2182/2242|2302|236212422 49 2781/2841] 2901/2961 |3021 72 50 3380|3440|3500}3560|3620 51 $779 4039|4099|4159|4219 5a 4578) 4638) 4698| 4758) 4817 53 5177|5237|5297|5356/5416 54 5776|5835|5895|5955|6015 55 6374|6434|6494|6554|661 56 6973|7033|7092|7152|7 Ag 7571|7631|7691|7791|7 9M 58 8170|8229|8289|8349|8409 59 8768/88 28|8888|8947|g007 72 60 9366|9426|9486|9546)9605 61 * 9964|4024/0084|/0144)0204 62 | 861 0562/0622/0682|0742/0802 63 1160|1220/1280|1340|1400 64 1758}1818) 1878} 1938)1997 65 2356} 2416|2476} 2536) 2595 66 2954|3014|3073|3133)/3193 67 3552|3611|3671|3731|3791 68 4149|4209| 4269)| 4328/4388 69 4747|4806| 4866) 4926/4986 72.70 5344|5404|5464|5523/5583 71 5941/6001 |6061|6121/6180 72 6539|6598|6658|67 18|6778 73 7136/7196|7255/7315|7375 74 7733|7793|7852|791 2|7972 a5 8330/8390|8449|8509|8569 76 8927 ae 9046|9106/9166 77 | * 9924|9983|9643|9703/9762 78 | 862 0121/0180|0240|0300|0359 79 0717|0777|0837|0896|0956 72 80 1314}1373|1433}1493|1552 81 1910|1970|2030) 2089]2149 82 2507|2566] 2626] 2686/2745 83 3103/3163]3222|3282/3342 84 3699|3759|3819|3878|3938 85 4296|4355|4415|4474)4534 86 4892|4951|5011|5070|5130 87 5488|5547|5607|5666|/5726 88 6084|6143|6203/6262/6322 89 6680/6739|6799|6858/6918 72.90 7279|7335|7394|7454]751 4 91 7871|7931|7990|8050|810 92 8467/8526/8586|8645 8708 93 9062/91 22/9181|9241/9300 94 | * 965819717/9777|9836|9896 95 | 863 0253]0312|0372|0432\0491 96 0848|0908)0967| 1027/1086 97 1443 1303 1562/1622/1682 98 2039|2098| 2158] 2217/2277 99 2634]2693|2753)2812|2872 Num Oj A She: BGS aoe ee 7686|7746|7806}7866|7925 8285|8345|8405|8465|8525 8885/8945|9005|9065/91 25 9485 9h 45 9605)9665|9724 0084)0144|0204|0264|0324 0684/0744}0803|0863|0923 1283] 1343|1403}1463)1523 1882] 1942|2002]2062|2122 2481|2541|2601|2661|2721 3081|3140|3200]3260|3320 3680/3739|3799|3859/3919 4279|4338)4398|4458|4518 4877|4937|4997|5057|5117 5476|5536|5596|5656)5716 6075/6135/6195|6254/6314 6673|6733/6793/6853|6913 727217332|7392|7452|7511 7870 Ie 7990|8050|8110 8469|8529/8588)|8648/8708 9067|9127/9187\9247|9306 9665|9725|978519845|9905 0263|0323}0383}0443|0503 0861|0921/0981|1041} 1101 1459) 1519|1579|1639) 1699 2057|2117|2177|2237|2296 2655) 2715/2775|2834| 2894 3253)3313|3372|3432|3492 3850}3910|3970|4030) 4089 4448) 4508|4567|4627|4687 5045|5105|5165|5225|5284 5643|5703/5762|5822/5882 6240|6300|6360|6419/6479 6837|6897|6957|7016|7076 7434|7494|7554|7614|7673 8031/8091 |8151|8211/8270 8628/8688 /8748|8808/8867 9225)}928519345|9404|9464 9822|9882|9941|¢001|0061 0419|0479|0538}0598/0658 1016|1075/1135]1194}1254 1612|1672|1731/1791|1851 2.209) 2268] 2328/2387] 2447 2805} 2865]2924|2984|3043 3401|3461|3520)3580|3640 3997|4057|4117|4176|4236 4594|4653/4713|4772|4832 5190/5249 ey 5368/5428 5786/5845|590 6382/6441|6501|6560|6620 6977|7037|7097|7156|7216 7573|7633)7692|7752|781 1 8169|8228)}8288|8347|8407 8764|8824/8883 eae 9003 9360|94 19 9479|9539|9598 9955} #015|0074|0134|o193 0551|0610|0670\0729|0789 1146|1205|1265|1324)1384 1741|1801|1860|1920|1979 2336/2396) 2455}2515)2574 2931|299113050131 1013169 Diy 6 47 Be ae Diff. | Diff. & Mult, | lo COW OMNI wh 540. 59 118 177 236 295 — 354 © 413 @ 472 S3r OO CON AOWWDH & Diff. | Diff, & Mult. Num. Bos 7300 OI 02 03 04 05 863 oe 382 * LOGARITHMS OF NUMBERS. we 2 a3 F 4 3288 |3348|3407|3467 3883) 3942|4002| 4061 4418|4478)4537|4597| 4656 5013)/5072/5132/5191|5251 5608|5667/5727/5786|5845 6202|6262|/6321/6381|6440 6797|6856|6916/6975|7034 7391|7451/7510|7569|7629 7985)|8045/8 104|8164|8223 8580|8639|8698|8758|8817 9174)|9233|9293)/9352|9411 9768) 9827/9887/9946|+005 864 0362/0421}0481|0540|0599 ¥ 865 0447/0506 * 0956/1015}1075/1134 1193 1550] 1609/1668) 1728|1787 2143| 2203) 2262/2321/2381 5111/5170|5229|5289/5348 5704|5763/58 23/5882 5941 6297|6357|6416/6475|6534 6890/6950}7009/7068}71 28 7483 1843 7602/7661/7721 8076|8136)8195/8254|8313 8669|8728/8788)/8847|8906 9262/9321|9380/9440|9499 9855/9914 9973 #032/0092 0966/0625}0684 1040]1099}1158/1217/1277 1632|1691/1751|1810/1869 2225/2284 2343|2402|2461 2817|2876| 2935] 2995/3054 3409|3468}3527|3587|3646 4001/4060] 4120/41 79/4238 4593|4652|4712|4771|4830 5185|5244|5304|5363|5422 5777|5836|5895|5955|6014 6369|/6428/6487/6546|6606 6961|7020|7079/7138|7197 7952|761 1|7671/7730|7789 8144/8203|8262/8321/8380 8735|8794|8854)/8913 8972 - 9327/9386)9445|9504}9563 9918!9977| +036|0095)0155 866 0509|0568|0627|0687/0746 1L00|1 160] 1219] 1278/1337 1691/1751|1810|1869| 1928 2282|2342|2401|2460/2519 2873|2932|2992|3051|/3110 3464|3523}3582|3641 3701 4055|4114|4173/4232|4291 4646) 4705) 4764|4823|4882 5236/5295/5354|541 3/5472 5827|5886|5945|6004|6063 6417/6476|6535|659416653 7008}7067|7126/7185|7244 7598|7657|7716|7775|7834 818818247|8306/836518424 ORR 1. 2) Roan a, 62 TREO 3526|3586)3645|3705/3764 4121|4180|4240|4299|4359 4716|4775|4835)4894/4954 5310]5370|5429|/5489|5548 5905|5964|6024|/6083/6143 6499|6559/6618|6678/6737 7094) 7153)7213)7272/7332 7688)7748| 7807|7867|7926 8283/8342|8401|8461|8520 8877|8936/8996|9055|9114 9471|9530|9590|9649/9708 006501 24}0184|0243]/0302 0659)0718/0778|0837|0896 ¥253]1312/1371|1431|1490 1846} 1906] 1965] 2025) 2084 2440}2500| 2559/2618] 2678 3034/3093/3152|3212/3271 3627|3687|3746)3805| 3865 4221/4280 shoe 4399|4458 481 4|4873)493 4992|5051 5407|5467|5526|5585|5645 6001|6060|61 19/61 79/6238 6594|6653|671 2/6772/6831 7187|7246|7305|7365|7424 7780|7839|7898|7958|8017 8373|8432|8491|8551/8610 eee g025/9084/9143}9203 92998!961819677/9736|9795 0151}0210/0269|0329|0388 0743}0803/0862|0921|0980 1336|1395]1454) 1514/1573 1928] 1988/2047] 2106}2165 2521/2580/2639] 2698) 2758 3113]3172/3231]3291|3350 3705|3764|3824)3883)3942 4297|4356|4416)4475|4534 4889) 4948}5008|5067/5126 5481|5540|5600 5659/5718 6073|6132|6191|6251/6310 6665/6724/6783/6842|69or 7256|7316|7375|7434|7493 7848)7907|7966|8025|8085 8440|8499|8558|861 7/8676 9031|9090|9149|9208|/9268 9622|9681/9741|9800/9859 0214}0273/0332|0391|0450 0805/0864) 0923) 098 2| 1041 1396) 1455/1514 1573} 1632 1987|2046| 2105} 2164}2223 2578} 2637| 2696/2755] 2814 3169/3228|3287 3760) 3819/3878 ae 3996 4941|5000/5059/51 18/5177 as 5591|5650/5709|5768 paeiaO weg 7)" Sx 9 109 Diff. | Diff. & Mult. 60 120 180 240 300 360 420 480 540 < COI HOR wr = Lo Cn AON wd Diff. | Diff. & Mult. LOGARITHMS OF NUMBERS. Oy, GG eS. 4 866 8778/8837/8896|8955|9014 9368|9427|9486|9545|9604 9958)}¢017|/0076|0135}0194 867 0548}0607|0666|0725)0784 1138|1197|1256/1315}1374 1728) 1786] 1845/1904] 1963 2317|2376| 2435) 2494) 2553 2907| 2966} 3025|3084|3142 3496|3555| 361 4/3673)3732 4086)|4145\4203|4262|4321 4675|4734|4793|4852|4911 5,264|5323/5382|5441|5500 5853)591 2|5971|6030|6089 6442/6501|6560 7031|7090|7149 7620/7679|7738 8209|8268)/8327 8798/8857 ey 9387|9445|9504 1152/1211|1270 1740|1799|1858 2329|2388)2446 2917|2976|3035 3505|3564|3623 4093|4152|4211 4681)4740\4799 5269|5328|5386 5857|5915|5974 6444|6503|6562 6619/6678 7208|7267 7797| 7856 8386/8445 8974|9033 9963) 9622 * 9975|¢034]0093|0152|0211 868 0564}0622|0681|0740 0749 * 1329}13 he! 1976 2505} 2564 3093/3152 368 1|3740 4269/4328 4857/4916 5445/5504 6033]/6092 6621/6679 ~ 7032/7091 7620/7678 8207/8266 7150|7208/7267 7737|7796|7855 8325/8383)8442 8794|8853/8912|8971|g029 9382/944119499|9558|9617 * 9969|+028/0086/0145|0204 869 0556}0615}0674|0732/0791 1143]1202}1261|/1319)1378 1730}1789] 1848} 1906} 1965 2317|2376]2435}2493)2552 2904|2963)3021/3080/3139 3491)/3549|3608 | 3667/3725 4077|4136|4195|4253)4312 4664] 4723|4781|4840|4899 5251|5309/5368/5427|5485 5837|5896/5954|601 3/6072 6423/6482|6541|6599|6658 7010|7068)|7127|7186/7244 7596|7655|7713/7772|7830 8182/8241 8768/8827 9354|9413 * 9940 9999 870 0526/0584 II12|/1170 1697|1756 2283|2341 2868} 2927 3454|3512 Oo i 8299/8358)8417 8885)/8944|9003 9471|9530|9588 ¢057/0116/0174 0643|0702|0760 1229]1287|1346 1814/1873}1931 2400] 2458 aie 2985) 3044/3102 3571|3629|3688 2 3 4 Di. OC Ral 8. oD 663|9722|9781|9840/989 2553 031210371|0430 3480 08430902 ye 1020|1079 1433] 1492|1551|1610|1669 2022|2081|2140|2199)2258 261 2|2671/2730]2789) 2848 3201|3260]3319|3378}3437 3791|3850|3909|3968) 4027 4380] 4439|4498}4557| 4616 ae 5028/5087|5146|5205 5559|5618|5677|5735/5794 6148|6207|6266|6325|6383 6737|6796|6855)|691 46972 7326/7385|7444|7502|7561 g19 7974|8032|8091|8150 4 8503/8562|8621}8680/8739 9092/9151|9210|9269|9328 968119740) 9799|9857 ae 0269]0328|0387|0446|0505 0858}0917|0976| 1034/1093 1446} 1505) 1564) 1623|1682 2035/2093] 2152/221 1/2270 2623} 2682/2740) 2799|2858 3211|3270|3329|3387|3446 3799) 3858) 3917|3975|4034 4387|4446|4505| 4563) 4622 4975|5034/5093|/5151|5210 5563/5622|5680/5739|5798 6151|6209/6268/6327|6386 6738/6797|6856|6915|6973 7326|7385/7443}7502|7561 7913/7972|8031/8090)/81 48 8501/8560/8618|/8677/8736 9088) 9147|9206/9264}9323 9675|9734|9793|9852\/9910 0263/0321|0380|0439|0497 0850/0908 |0967] 1026] 1085 1437/1495 1354 1613/1672 2024] 2082/21 41|2200|2259 261 1|2669)]2728/2787|2845 31.97}3256/3315|3373|3432 3784}3843)|3g901|3960| 4019 4371|4429|4488| 4547/4605 4957|5016|5075|5133|5192 5544|5603/5661|5720|5778 6130/6189|6248|6306/6365 6717/6775|6834|6892|6951 7303}7361|7420|7479|7537 7889|7948|8006/8065/81 23 8475|8534)8592|8651|8710 9061/91 20|9178)9237|9296 9647|9706|9764|9823/9881 0233|0292|0350|0409|0467 0819|0877|0936/0994| 1053 1404| 1463} 1522/1580 1639 1990} 2049] 2107|2166|2224 2576/2634] 2693) 2751|2810 3161/3220) 3278] 3337/3395 3746|3805|3863| 3922/3981 SY '.6 67 eae 9073|9132|9191|9250|9309 Diff. 59 Diff. & M lo COW OOW Wb O OA HAR wn I l 1 ult,” ‘if ~e A ha oes | , f t | | | ! Dist. | Diff. & Mult. 4} Num. 21 420 870 LOGARITHMS OF NUMBERS. Oe 122 23 4 4039 pe 4156|4215|4273 4624) 4683) 4741} 4800] 4858 5210/5268/5327/5385|5444 5795|5853) 591 2|5970|/6029 6380 6438)6497|6555|6614 oe 7023|7082|7140 7199 7949|7608|7666|7725|778 8134/8193|8251|8310|8368 8719|8777|8836|8894 cae 9304|9362)9421|9479|9537 9888 9947 #005/0063|01 22 0473}0531|0589|0648/0706 1057|1115/1174|1232|1291 1641|1700|1758/1817|1875 2226) 2284|2342|2401|2459 2810/2868] 2927/2985|3043 3394|3452 381 I 3569 3627 3978) 4036) 4095|4153|4211 4562|4620|4679)4737|4795 51 46}5204|5262|5321/5379 5729|5788/5846|5904|5963 6313|637116430|6488)6546 6897|6955)/7013/7072/7130 7480) 7539/7597|7655|7714 8064|8122|8180/8239/8297 8647|8705/8764|8822|/8880 9230]9289|9347|9405|9464 * 9814/9872/9930|9988) «047 872 0397/0455|0513}0572|0630 0980} 1038/1096) 1155}1213 1563] 1621|1679|1738/1796 2146| 2204} 2262|2320)2379 2728|2787|2845|2903)|2962 3311|3369/3428|3486|3544 3894|3952|4010|4069|4127 4476) 4535|4593|4651|4709 5059|5117/5175|5234|5292 5641|5700|5758/58 16/5874 6224|6282|6340/6398|6457 6806)/6864|6923/6981}7039 7388|7446|7505|7563}7621 7970|8029|8087/8145|8203 825, 861 1|8669)8727|/8785 9134|9193|9251/9309|9367 *® 9716/9774)9833) 9891 |9949 873 0298|0356|0414|0473|0531 0880]0938|0996)1054|1113 1462 ee 1578] 1636] 1694 2043}2101/2159|2218|2276 2625|2683|2741|2799|2857 3206] 3264|3322|3380|3439 3787|3845|3904 ae: 4020 4369)4427|4485|4543|4601 4950|5008|5066|51 24/5182 5531|5589|5647|5705|5763 6112/6170/6228|6286/6344 6693|6751|6809|6867/6925 7274|7332|7390|7448 7506 7855|7913)|7971|8029|8087 8435/8493/855 11861018668 OME - 2 “-Seag a Oa ae OD 4332|4390|4449|4507| 4566 4917|4975|5034/5092|5151 5502|5561|5619|5678/5736 6087|6146/6204|6263/6321 6672|6731|6789|6848|6906 7257|7316|7374|7432|7491 7842|7900/7959/801 7/8076 8427|8485|8544|8602|8660 g011|9070/91 28|9187)9245 9596|9654/9713!9771|9830 0180|0239|/0297|0356/0414 0765|08 23/088 2|0940)0999 1349] 1408] 1466} 1524/1583 1933] 1992|2050| 2109/2167 2518] 2576}2634} 2693/2751 3102|3169)3219}3277|3335 3686|3744|3803|3861|3919 4270|4328|4387|4445|4503 4854\ 491 2|4970|5029/5087 5437|5496|5554/5613|5671 6021 |6080|6138|6196/6255 6605|6663/6722/6780|6838 7188|7247|7305|7363|7422 7772|7830|7889|7947|8005 8355/8414|8472|8530|8589 8939|8997|9055|9114|9172 ghas hbo 9639|9697|9755 0105|0163/0222/0280|0338 0688]0747|0805|0863|0921 1271|1330}1388/1446| 1504 1854] 191 2|1971|2029|2087 2437|2495|2554)2612|2670 3020|3078/3136)3195|3253 3603|3661}3719|3777|3836 4185|4243|4302|4360| 4418 4768|4826|4884)4942|5001 5350|5408|5467|5525/5583 5933|5991|6049|6107|6166 6515|6573|6631 |6690/6748 7097|7155|7214|7272|7330 7679|7738|7796|7854|7912 8261/8320/8378|8436|8494 8843|8g02|8960|9018|9076 942519484|9542|9600|9658 ¢007|0065|0124)0182|0240 0589|0647|0705|0764]08 22 T171|1229|1287|1345|1403 1752|1810|1869/1927|1985 2334}2392|2450/2508} 2566 2915|2973|3032|3090)31 48 3497|3555|3613) 3671/3729. 4078} 4136|4194|4252)4311 4659|4717|4775|4834|4892 5240|5298/5357|5415|5473 5821|5880|5938|5996|6054 6402|6461|6519|6577|/6635 6983)7041|7100|7158/7216 7564|7622|7680|7738/7797 8145/8203|8261/8319|8377 872618784|884218g00!8958 See 67, 8B. 9 111] pit. | Dim. & Mult. | Lo Corn AOrbB wpb w Or Ns 58 116 174 232 290 348 406 464 522 OO OI AAWH wd Diff. | Diff. & Mult. 112 LOGARITHMS OF NUMBERS. Num. 0 1 2 3 4 7480 | 873 9016\9074|9132\9190/9248 81 * 9597|965519713/9771/9829 82 | 874 0177|/0235|0293\0351\040g 83 0757|08 15/0874|0932|0990 84 1338) 1396)1454|1512|1570 85 1918/1976) 2034|2092|2150 86 2.498) 2556) 261 4/2672|2730 87 3078/3136)3194|3252|3310 88 3658|3716|3774|3832|3890 89 4238) 4296) 4354441 2/4470 7490 4818) 4876|4934|4992|5050 91 5398|5456/5514/5572|5630 92 5978|6036/6094/6152/6210 93 6557/6615|/6673/6731|678 94 7137|7195|7253}731 1/73 99 7716|7774|7832|7890|79 96 8296/8354|841 2|8470/852 97 8875|8933|8991|9049|9107 98 9454|9512|9570|9628) 9686 99 | 875 0034|00g1]01 49|0207/0265 75 00 0613|0671|0728|0786|0844 OI 1192|1250|1307|1365|1423 02 1771|1828}1886|1944|2002 03 2349|2407|2465|2523}2581 04 2928/2986) 3044/3102|3160 05 3507/3565} 3623}368 1/3738 06 4086)}4143)4201|4259|4317 07 4664|4722|4780|4838| 4896 08 5243}5300|5358|5416|5474 09 5821|5879|5937|5995|6052 75 10 6399|6457/6515|6573/6631 II 6978|7035|7093}7151/7209 12 7996/7614) 7671|7729|7787 13 8134/8192|8249)8307|8365 14 §712/8770|8828|8885|8943 15 9299!9348)9405|9463|95 21 16 * 9868)9925)9983|+041|0099 17 | 876 0446)0503}0561\0619|0677 18 1023) 1081/1139) 1197/1254 19 1601|1659}1716|1774] 1832 75 20 2178) 2236|2294}2352|2409 21 2756|2814|2871|2929|2987 22 3333}3391|3449|3506|3564 23 391 1}3968) 4026] 4084] 4142 24 4488 |4546|4603) 4661/4719 25 5065|5123)/5180|5238/5296 26 5642|5700|5758/58 15/5873 27 6219|6277|6335|6392|6450 28 6796|6854|691 1|6969|7027 29 7373)7431|7488|7546|7604 75 30 7950|8007|8065|81 23/8180 31 8526)8584|8642 8699/8757 32 9103/9161/9218/9276|9334 33 | * 9680/9737|9795|9853!9910 34 | 877 0256|0314)0371|0429|0487 35 0833/0890}0948] 1005|1063 36 1409} 1467|1524] 1582/1639 37 1985|2043|2100)2158}2216 38 2561] 2619] 2677|2734/2792 39 3137 3105 3253/331013368 Num 0 ig ea ek OY Oahel eS ae 9306|9364|9422|9480|9538 9887/9945|¢003|0061/01 19 0467|0525|0583)064 1/0699 1048]1 106|1164/1222/1280 1628] 1686}1744|1802|1860 2208] 2266] 2324|2382|2440 2788} 2846] 2904] 2962|3020 3368)}3426}3484|3542|3600 3948|4006| 4064/41 22/4180 4528|4586|4644|4702|4760 5,108|5166/5224|5282/5340 5688|5746|5804|5862/5920 6268|6325|6383/644 116499 6847|6905|6963}7021!7079 7427|7485|7543|7600|7658 8006/8064}/81 22/8180/8238 8585|8643|8701|8759|8817 9165]9223|9281|9339|9396 9744|980219860)9918|9976 0323/0381 |0439]0497|0555 0902 ye 1018/1076|1134 1481|1539}1597|1655}1713 2060} 2118/2176)2234|2292 2639|2697}2755|2813}2870 3218]3275}3333/3391|3449 3796|3854|391 2|3970/4028 4375)|4433| 4491/4548) 4606 4953)5011|5069/5127|5185 5532|5590|5648|5705|5763 6110|6168]6226|6284/6342 6689/6746 |6804/6862|6920 7267|7325|7382|7440|7498 7845|7903}7960|8018|8076 8423}848 1 |8539|8596|8654 9001/9059/9116}9174|9232 9579|963719694|9752|9810 0157|0214|0272/0330|0388 0734|0792|0850|0908}0965 1312|1370|1428|1485/1543 1890] 1947|2005|2063)2121 2.467|2525| 2583) 2640) 2698 | 3045|3102/3160)3218)3276 3622|3680/3737/3795|3853 4199|4257|4315)4372|4430 4776|4834] 4892|4950|5007 5354/541 1|5469|5527|5584 5931|5988/6046|6104/6161 6508|6565/6623/668 1/6738 7085/71 42|7200/7258|7315 7661 |7719|7777|7834) 7892 8238|8296/8353|841 1/8469 88 15|8872|8930|8988) 9045 9391|9449|9507|9564|9622 9968 | +026}0083|0141\0199 0544|0602}0660/0717|0775 1121|/1178}1236)1294|1351 1697|1755)1812|1870|1928 2273|2331|2388|2446| 2504 2849] 2907)2965|3022|3080 342513483|35411359813656 5 6 ST eS ae Diff. 58 lo CO AOh wb - lo CUI AO wh et Dif. | Diff. & Mult. "toh LOGARITHMS OF NUMBERS. } Nun Ger 2 FS 33 4 1540 | 877 3713)3771|3829)3886|3944 4t 4289|4347|4405| 4462/4520 42 4865)4923)4980)5038| 5096 43 544154995556 561 4/5671 44 6017/6074 6132/6189 6247 45 6592/6650/6708/6765|68 23 46 7168) 7226}7283)7341)7398 47 7743|7801/|7859 7916 7g74 48 8319|8376|8434|8492|8549 49 8894/8952|9009|9067|91 24 | 75 50 9470|9527|9585| 9642/9700 51 | 878 0045}0102/0160|0217/0275 52 0620|0677|0735|0792/0850 53 1195|1252/1310| 1367/1425 54 1770|1827| 1885] 1942/2000 55 2345] 2402| 2460) 2517/2575 56 2919|2977|3034|3092/3149 57 3494)3552|3609|3667|3724 58 4069) 4126/4184) 4241|4299 59 4643) 470114758] 4816|4873 75 60 5218|/5275|5333/5390|5448 61 5792/5850/5907/5965|6022 62 6367|6424|6482/6539)/6596 63 6941|6998)7056|7113/7177 64 7515}7573|7630|7687|/7745 65 8089/81 47/8204|8262|8319 66 8663)/8721/8778|8836/8893 67 9237/9295|9352|9410|9467 68 | * 9811/9869)9926\9983| e041 69 | 879 0385)0442}0500/0557}0615 75:70 0959] 1016/1074/1131)1188 71 1932) 1590|1647|1705|1762 72 2106|2163]2221/2278/2335 73 2680) 2737] 2794) 2852/2909 74 3253|3310/3368/3425|3482 72 3826}3884|3941|3998| 4056 76 4400| 4457|4514|4572|4629 77 4973)|5030)5088|5145|5202 78 5546|5603/5661/5718/5775 79 6119/61 76|6234|/6291/6348 75 80 6692|6749|6807|6864|6921 81 7265|7322|7380/7437|7494 mops 7838)7895|7952|801 0|8067 83 8411|8468)8525|8582|8640 84 8983)9041|9098/9155/9212 85 | * 9556|9613|9670/9728/9785 86 | 880 af 28 re 86 2043 aise 2355 87 0701|0758}0815|0873}0930 88 12731330) 1388/1445}1502 89 1846|1903|1960|2017|2074 75 90 2418|2475)2532|2589|2647 gl 2990|3047|3104|3162/3219 92 3562|3619/3676|3734|3791 93 4134|4191|4248|4306|4363 94 4706) 4763} 4820|4877|4935 95 5278|5335)5392|5449|5507 96 5850/5907|5964|6021|6078 97 | 6421|6478|6536|6593|6650 98 6993|7050|7107|7164|7222 99 7964!762217679'7736'7793 Num. Dad 2, Bd es: ie 4059\4117 4577|4635| 4693 5153/5211|5268 5729/5787|5844 6305/6362'6420 6880/6938 |6995 7456/7513 ek 8031/8089/8146 8607/8664/8722 9182/9239'9297 4OOI ee , 4750) 4808 5326/5384 5902/5959 6477/6535 7053/7110 7628}7686 8204/8261 8779/8837 9354/9412 757|9815|987219930!19987 333% 2396 oe ores oho, 0907|0965|1022/1080|1137 1482|1540}1597|1655|1712 2057}2115|2172|2230)2287 2632] 2690}2747| 2805| 2862 3207|3264|3322|3379|3437 378 2|3839|3896)3954|/4011 4356) 4414) 4471|4529|4586 4931|4988)}5046|5103/5161 5505|5563|5620|5678|5735 6080)/6137|6194|6252/6309 6654|67 1 1|6769/68 26/6884 7228|7286/7343|7400|7458 7802|7860/7917|7975|8032 8376/8434|8491|8549|8606 8950/9008] 9065/91 23/9180 9524'9582|9639|9696|9754 0098/01 56|0213|0270|0328 0672/0729|0787|0844|og01 1246|1303}1360|1418|1475 1819|1877 oes 1991|2049 2393)2450| 2508) 2565} 2622 2966|3024|308 1|3138|3196 3540|3597|3654/3712|3769 4113|4170|4228)4285|4342 4686/4744) 4801|4858| 4916 5259/5317|5374|5431/5489 5833|5890|5947|6004|6062 6406|6463|6520|6577|6635 6979|7036|7093 7551|7609/7666 8124/8181 |8239 8697|8754)|8811 9270|9327|9384 7150/7208 7723|7781 8296/8353 8869/8926 944119499 9842/9899|9957|¢014/0071 0415|0472|0529]/0586|0644 0987|1044)1102/1159|1216 155g9|/1617|1674|1731|1788 2132/2189|2246| 2303/2361 2704|2761|2818|2875/2933 3276/3333}3390|3448}3505 3848|3905|3962|4020|4077 4420|4477|4534| 4592| 4649 4992\5049|5106|5163|5221 5564|5621|5678|5735|5792 | 6135)/6193/6250|6307|6364 6707|6764|6821|6879|6936 7279|7336|7393|7450) 75907 7850!7907'7964!8022!18079 Bry 6 F.8D 15 Diff. 4174/4232 Diif. 113 Diff. & Mult. ho COI OnhK wb - lo COU MOAR Wh 58 116 174 232 290 348 406 464 522 97 114 I7I 228 285 342 399 456 513 Diff. & Mult. 114 Num. * 9550|9607|9664 882 0120/0177/0234 wo AY 883 0365)|0422/0479 884 0019,0076/0133 LOGARITHMS OF NUMBERS. One AT eee Pa ext 8707|8764/8822/8879/8936 9279, 9336/9393) 9450|9507 * 9850!9907|9964|¢021|0078 881 0421/0478)0535|0592|0650 0992|1049|1 106}1163)1221 1563} 1620|1677|1735|1792 2191|2248)}2305]2363 2762|2819 3333}33g0 3904}3961 4474|4531 5045|5102 15615 6186 675616813 732617383 7897/7954 8467|8524 9037\9094 0689) 0746)0803 1259|1316}1373 1829|1886]1943 2398} 2455|2512|2569}2626 2968] 3025/3082 3537|3594|3651 4107|4164|4221 4676| 4733|4790 5245/5302|5359 5815|5871}5928|59 6384/6441 |6497 6953)7010}7066 752217578!7635 8090|8147|8204/8261|8318 8659 9228)9285}9342 7|9853/9910 0934)0990}|1047 1502)1559/1616 2070|2127/2184 2639] 26952752 3207|3264/3320 3775) 3832) 3889 4343|4400|4457 491 1|4968)|5024 5479|5536|5592 6047|6103/6160 661 4/6671|6728 7182|7239|7296 7750|7806/7863 8317|8374|8431 8885) 8941|8998 9452|9509|9565 0586|0643|0700 1154|1210|1267 1721/177711834|189111948 01> thee 43 274 5; Oleh eee 7600 | 880 8136 8193/8250)8307|8364 | 8422|/8479)8536/8593/8650 Bee 9050|9107|9104/9222 9964|9621|9679|9736)9793 0136}0193|0250|/0307|0364 0707|0764|0821|0878}0935 1278} 1335) 1392|1449| 1506 1849}1906 ey 2020] 2077 2420]2477| 25934) 2591| 2648 2990|3048|3105|3162/3219 3561|3618|3675/3732|3789 4132|4189|4246|4303|4360 4703|4760| 4817/4874) 4931 5273|5330|5387|5444/5501 5844/5901 sae 6015/6072 641 4|647116528)6585|6642 eae) 704117098}7155|7212 7954|761 1|7669|77 26) 7783 8125|8182/8239|8296/8353 8695|8752|8809|8866| 8923 9265|9322/9379| 9436/9493 9835) 9892|9949|4006|0063 0405|0462/0519!0575|0632 0974|1031|1088 1145|1202 1544|1601|1658}1715|1772 2114|2171|2228/2285|2342 2683)2740]2797| 2854] 2911 3253|3310|3367|3424|3481 38 2.2|3879|3936|3993|4050 4392|4448|4505| 4562/4619 496 1|5018|5075|5132|5188 5530/5587|5644|5701|5758 6099/61 56/621 3/6270|6327 6668 |6725|6782|6839|/6896 7237|7294|7351|7408/7465 7806|7863}7920|7977|8034 8375|8432|8489)8545|8602 8944|9000|9057/91 14/9171 9512/9569|9626|9683|9740 0081|0138}0195}0251/0308 0649|0706|0763}08 20/0877 1218}1275}1331|1388}1445 1786}1843]1900]1957|2014 2354|2411|2468|2525|2582 2923} 2980) 3036) 3093/3150 3491}3548|3604|3661|3718 4059|4116|4173)|4229|4286 4627|4684|4741|4797|4854 5195|5252|5308|5365|5422 5763|5819|5876|5933/5990 6330|6387/6444|6501 6558 6898|6955|7012 7466}7523|7579 8033|/8090]8147 8601|8658|8714 9168)9225/9282 9736|9792|9849 0303|0360|0416 7068/7125 7636/7693 8204|8260 8771/8828 9338|9395 9906|9963 0473|0530 0870|0927|0983) 1040] 1097 1437|1494|1551|1607|1664 2004|2061/2118)2174)2231 5: 6 Al aga Diff. Diff. Diff. & Mult oe lo Con MAOrWw wp Diff. & Mult | LOGARITHMS OF NUMBERS. 115 | } Num. oe al 2 3.54 oe FS7 = 8 6.9 Diff. | Dim. & Mult. 1/660 | 884 2288/2344) 2401\2458)2514 | 2571)2628/2685) 2741) 2798 | 61 2855/2911 |2968/3025|3081 | 3138/3195)3251/3308/3365 {1 62 342.113478|3535| 3592/3648 | 3705'3762|3818/3875)3932 | 63 3988 | 4045 4102|4158/4215 | 427214328/4385'4442)4498 1 64 4555|4612|4668) 4725|4782 | 4838|4895'4952|5008|5065 | 65 512215178/5235|5292|5348 | 540515462|5518|5575/5631 } 66 5688|5745/5801/5858)5915 | 5971|6028/6085/61 41/6198 { 67 6255/6311|6368/6425/6481 | 6538)6594|6651|6708/6764 68 6821|6878|6934|6991|7048 | 7104|7161|7217|7274|7331 | 69 7387|7444)7501|7957|7614 | 767117727|7784/7840|7897 176 70 7994|8010)8067/8124|8180 | 8237)8293|8350/8407|8463 I a7 71 8520/8576 8633/8690/8746 | 8803|8860/8916|8973}g029 2] 114 72 9086|9143)9199 9086 9312 | 9369)9426/9482 ae 9595 F4 ert 73. | * 9652\/9709/9765|982219878 | 9935/9992|4048/0105/0161 4} 228 | 74 885 0218]0275/0331/0388/0444 | 0501|0557|0614)/0671/0727 5.4 1985 Peak 0784)0840|0897\0954| 1010 | 1067/1123)1180}1237/1293 ae H 676 1350}1406/1463)1519/1576 | 1633/1689|1746) 1802/1859 k g ie Diva 1915|1972|2029|2085}2142 | 2198/2255/2311|2368/2425 es + 78 2481|2538|2594/2651/2707 | 2764/2820|2877|2934|2990 eed 1 79 3047|3103/3160|3216|3273 | 3329|3386)3443|3499|3556 | 76 80 361 2|3669|3725|3782|3838 | 3895|3951)4008|4065) 4121 } 81 4178|4234|4291)4347|4404 | 4460)4517|4573|4630| 4686 } 82 4743|4800} 4855| 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)/68g1|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|881 2|8868/8925 | 8981|9037|9094|9150|9207 6 263|9320|9376|9433|9489 | 9546|9602|9659/9715|9772 ; a * 3838 5885 9941 Sane pea 0110/0167 aa a6 0336 92 | 886.0393/0449|0506/0562\0619 | 0675)0732/0788|0844)ogor 93 | . 0957/1014|1070}1127|1183 | 1240]}1296]1352/1409|1465 94} = 1522|1578)1635|)1691/1748 | 1804|1860)1917/1973|2030 95 2086] 2143/2199|2256}2312 | 2368)2425|2481}2538)2594 96 2651/2707) 2763/2820/2876 | 2933/2989) 3046)3102/3158 97 3215/3271|3328)3384|3441 | 3497|/3553|3610|3666)/3723 98 3779|3835)|3892|3948|4005 | 4061|4118/4174|4230)4287 99 4343|4400|4456| 4512/4569 | 4625)4682|4738|4794| 4851 177 00 4907|4964|5020|/5076/5133 | 5189/5246/5302/5358/5415 Bey 5471|5528|5584)/ 5640/5697 | 5753/5810/5866)5922/5979 56 02 6035|6092/6148|6204'6261 | 6317/6373/6430/6486/6343 5 03 6599|6655|6712|6768/6824 | 6881|6937)/6994)7050|7106 3 a8 04 7163|7219|7275|7332|7388 | 7445)7501|7557|7614|7670 4 we 05 7726|7783!7839|7896|7952 | 8008}8065)81 21|8177/8234 5 | 280 06 8290|8346/8403|8459/8515 | 8572/8628|8685/8741/8797 6 | 336 07 8854|8910|8966|9023/9079 | 9135)9192|9248/9304|9361 7 | 392 08 9417|9473)9930|9586|9642 | 9699|9795|9811/9868|9924 8 | 448 1 09 | * 9980/¢037/0093|0149,0206 | 0262/0318]0375/0431|0487 9 | 504 17710 | 887 0544|0600|0656)0713 0769 | 0825)0882/0938)0994| 1051 D oer 7 1107|1163)1220)1276)1332 | 1389/1445|1501/1558)1614 B (Siro 1670|1727|1783}1839)1895 | 1952}2008)2064/2121|2177 ‘es 2233|2290|2346)2402)2459 | 2515/2571|2627/2684|2740 | 14 2796] 2853)|2909|2965|3022 | 3078/3134 3190|3247|3303 oss) 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 | 47664823 4879|4935 4991 18 5048)5104|5160/5217/5273 5329/5385)5442/5498}5554 | 19 5610'5667'5723'577915835 | 5892'5948\6004 6060'6117 ‘Num. Oe 2. £3 44 BRAG oNs8 - (ies | 24 4288)}4344 4399|4455|4510 | 4566|4621/4677|4732|4788 Ault San 25 4843|4899|4954|5010|5065 | 5121/5176|5232|5287/5343 5 | 995 26 5398|5454|5509|5565/5620 | 5676/5731|5787/5842|5898 6 | 330 27 5953|6009|6064/6120/6175 | 6231/6286,6342|6397/6453 7 | 385 28 6508|6564|6619|6675|6730 | 678616841 oor 6952!7007 8 | 440 29 7063|7118)}7174}7229|7285 | 7340|7396|7451|7507|7562 9 | 495 8 30 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|9t70 9226 33 928 1/9337|9392\9448|9503 | 9558|9614|9669|9725|9780 34 | * 9836|9891|9947|+002/0057 | 6113/0168/0224 0279/0335 35 | 894 0390/0445|0501|0556|06r2 0667|0723/0778 0833!0889 36 0944/1000/1055/1111/1166 | 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 ob 39 2607'2662'271712773!2828 | 2884'2939|2994 3050'3105 Ba NO 29991299419 090'S TOD jum. Cab AD oh. GR ye Be O. hs 689 Diff. | Diff. & Mult. 118 Num. | 7840 |894 3161 4I “* 966919724 LOGARITHMS OF NUMBERS. et 3216 3715/3770 426814324 4822|4878 5376/5431 5929}5985 6483) 6538 7037|7092 7590|7645 8143/8199 8697/8752 9250)9305 * 9803/9858 895 0356/0411 0909} 0964 1462/1517 2015}2070 2568} 2623 3120|3176 3673|3728 4225)4281 4778) 4833 5330|5386 5883/5938 6435/6490 6987|7042 7939|7595 8092/8147 8644|8699 9195/9251 * 9747|9803 896 0299/0354 08510906 1403/1458 1954] 2009 2506) 2561 3057/3112 3608/3664 4160|4215 4711|4766 5262/5317 5813|5868 6364/6419 6915|6970 7466|7521 8017|8072 8568/8623 9118/9173) 897 0220|0275 0770|0825 1320|1375 1871/1926 242112476 _ 2971|3026 352 t}3576 4071|4126 4621|4676 517115226 2 38 4 3271|3327|3382 3825) 3881/3936 4379'4435) 4490 4933|4988|5044 5487|5542/5597 6040/6096)6151 6594/6649,6704 7147|7203|7258 7701|7706|7811 8254|830g9/8365 8807|8863/8918 9360/9416|9471 9914/9969|#024 0467/0522 1020|1075 1572/1628 2125|2181 2678/2733 3231|3286 3783) 3839 4336/4391 4888| 4944 5441/5496 5993/6048 6545\6601 7098}7153 7650|7705 8202/8257 8754|8809 9306/9361 9858|9913 0409|0465 0961} 1016 1513|1568 2064) 2120 2616)2671|2 3167|3222 371913774 4270|4325 4821|4876 537215428 5923|5979 6475|6530)6 7025/7081 7576) 7631 8127/8189 8678/8733 9229/9284 9779|9834 9 0330/0385 0880]0935 1431 Db 3438|3493 a, 4047 454 TAB 89 3548|3604(3659 4102|4158/4213 5 460114656 471114767 5099|/5154,5210|5265|5320 5653/5708 5763/5819 5874 | 6206/6262 6317/6372/6428 6760/6815 6870/6926/6981 7313)7369 7867/7922 8420|8475 8973}9028 9526\9582 0079|0135 0632}0688 1185}1241 1738/1794 2291|2346 2844] 2899 3397/3452 3949/4004 4502|4557 5054)5109 5607/5662 7424|7479|7935 7977 8033/8088 8531|8586|8641 9084)9139/9194 9637|9692/9748 0190|0245|0301 0743|0798)0854 1296|1351|1407 1849) 1904 yang 2402|2457/2512 2954| 3010/3065 3507|3562|3618 4060|4115)4170 461 2|4667|4723 5165|5220/5275 5717|5772|5828 6159/6214 6269 6325/6380 6711|6766,6822|6877|6932 7263/7319 7815/7871 8368/8423 7374|7429|7484 7926/7098 1/8036 8478)8533/8588 8919|8975|9030|9085|91 40 94719527 4023|0078 0575/0630 1127|1182 9582|9637|/9692 0134|0189|0244 ,0685|074 1/0796 1237|1292|1347 1678/1733 2230)2285 2781/2837 3333)3388 1789] 1844) 1899 2340}2395|2450 2892|2947|3002 3443|3498|3553 3884) 3939) 3994| 4050/4105 4435|4491 4987|5042 5538/5593 6089/6144 6640/6695 7191|7246 774217797 8292/8347 8843)8898 9394) 9449 9944)9999 04950550 1045|1100 1596) 1651 4546| 4601|4656 5097|5152/5207 5648)/5703|5758 6199|6254|6309 6750|6805|6860 7301|7356/7411 7852|7907|7962 8403}8458/8513 8953/9008 |9063 990495599614 #054/0109|/0165 0605|0660|0715 1155\}1210|1265 1706) 1761/1816 1981 2531 3081 3631 4181 4731 Rep 191 3686 3741 4236 4291 4786 4841 5281 572115776 0 1 5831 2 5336, 5391 58865941 a 4 2146|}2201/2256 2696) 2751} 2806 3246|3301|3356 3796|3851)3906 4346}4401|4456 4896) 4951 |5006)5061 5446|5501|5556 5996'6051!6 106. 23tt 2861 3411 3961 4511 5611 6161 2366 2916 3466 4016 4566 5116 5666 6216 5) 3.6 87, aS Diff. Diff. Diff. & My CO~w AoW wpe - lo Cr ANH wb eo) ™ ragy rH sare 897 6271/6326 * 9846199 900 0392/0447|0502|0556|0611 LOGARITHMS OF NUMBERS. OTE S43 4 6381 6436)6491 6821/6876 6931 |6986|7040 7370 742517480 7835 7590 7920 Le Tay ab 8085/8140 8469|8524 8579|8634|8689 9019/9074 '9129)9184|9238 * 9568 9623}9678 9733/9788 898 o117\0172 0227|0282|0337 0667/07 22)0776|0831|0886 1216}1271|1326)1380|1435 1765 1820)1875 1930]1984 2424|2479]2533 2863) 2918 | 2973|3027/3082 3412|3467|3521/3576| 3631 3960} 4015} 4070/41 25/4180 4509|4564| 4619) 4674) 4729 5058/51 13/5168]5222/5277 5606) 5661/5716|5771/5826 6155|6210/6265/6320/6374 6703/6758 6813/6868 |6923 7252|/7307/7361/7416|7471 7800) 7855|7910|7965/8019 8348|8403/8458)8513|8568 8897|8951|9006|9061|9116 9445|9499|9554|9609|9664 * 9993 ¢048)0102/0157/0212 899 0541|0595|0650|0705|0760 1089|1143}1198/1253|1308 1636 1691/1746] 1801| 1856 2184] 2239)2294| 2348] 2403 2732| 2787) 2841] 2896) 2951 3279/3334 3389|3444|3499 3827/3882 3937)3991|4046 4375|4429|4484| 4539] 4594 4922|4977|5031|5086|5141 5469/5524|5579| 5634/5688 6017|6071|61 26/618116235 6564/6619|/6673|6728|6783 7111|7166}7220/7275|7330 7658)7713|7767|7822|7877 8205/8 260|8314/8369|8424 8752|8807|8861/8916/8971 9299|9354|9408/9463|9518 00/9955) ¢010/0064 0939|0994] 1048) 1103}1158 1486|1540|1595| 1650|1704 2032|2087|2141/2196|2251 2579] 2633)|2688)/2743 2797 3125/3180|3234 3289/3344 3671|3726|3781|3835|3890 4218|4272|4327|4381|4436 4764|4818) 4873) 4928 4982 5310)5364)5419|5474|5528 5856/5910 5968 6020/6074 6402/6456/651 1|6566|6620 6948|7002|/7057|7112|7166 7494|7548|7603|7657|7712 8039)8094|8148|8203|8258 8585186,018694184918803 Oi, Bie eS oy SORT 2.8 3:9 6546/6601 |6656/671 1 |6766 7095|7150|7205/7260)7315 7645|7700|7755|7810/7865 8195|8250/8304/8359|8414 8744|8799|8854|8909 8964 9293|9348)9403/9458|9513 9843/9898 |9953/ #008 |0062 0392/0447|0502/0557|0612 0941}0996/1051}1106|1161 1490|1545|1600/ 1655/1710 2039} 2094|2149| 2204/2259 2588 |2643)2698) 2753] 2808 3137/3192|3247|3302|3357 3686/3741 /3796|385 1/3906 423514290|4345|4399|4454 4784) 4838) 4893|4948|5003 5332|5387|5442|5497|5552 588 1|5936)5990/6045|6100 6429|6484|6539|6594|6649 6978}7032}7087|7142/7197 7526/7581 |7636| 7690/7745 8074|8129|8184|8239/8294 8622/8677|8732|8787|8842 9171|9225)9280]9335}9390 9719|9774|9828| 9883) 9938 0267|0321|0376/0431|0486 0815}0869|0924|0979| 1034 1363]1417|1472/1527/1582 1910/1965)2020|2075|2129 2458]2513) 2568] 2622/2677 3006]3060/3115|3170/3225 3553} 3608] 3663/3718/3772 4101|4156|}4210|4265|4320 4648|4703)}4758] 48 1 2|4867 5196/5250|5305/5360/5415 5743|5798|5852}5907|5962 6290|6345/6400|/6454/6509 6837|6892|6947|7002|7056 7384|7439|7494| 7549|7603 7932|7986|804 1/8096|8150 8479|8533)8588/8643|8697 9025/9080/9135|9189|9244 9972|9627| 968297369791 0119]0174/0228]0283|0338 0666|0720/0775/0830|0884 1212/1267|1322/1376/1431 1759|181 4/1868) 1923/1977 2305/2360] 2415|2469|2524 2852}2906|2961|3016|3070 3398|3453)3507|3562|3617 3944|3999|4054|4108}4163 4491|4545| 4600] 4654|4709 5037|5091|5146/5201|5255 5583)5637|5692|5747|5801 6129/6183|6238|6293/6347 6675|6729/6784 6839/6893 7221|7275|7330|7384|7439 7766) 78 21|7876| 7930) 7985 8312/8367/8421|8476/8530 88581891 218967/9022!9076 Oe GOR. 28. oO 119]. Diff. | Diff. & Mult, fs 55 IIo 165 220 275 330 385 .| 44o 495 ho CY AMR wh 54 108 162 216 270 Cr HArbwyp w IX Dh co COG] & Av om : | Diff. | Diff. & Mult. f 120 Num. LOGARITHMS OF NUMBERS. Oi a ee eS 4 7960 1900 9131/9185 9240|9294|9349 80 10 x gor go2 # 903 9676}9731|9785|9840|9894 0222/0276|0331/0385|0440 0767|0822|0876|0931!0985 1313)1367|1422|1476|1531 1858) 191 2/1967|2021|2076 2403) 2458) 251 2}2567)| 2621 2948|3003|3057|3112/3166 3493)3548)|3602|3657|3711 4038) 4093) 4147|4202|4256 4583} 4638) 4692|4747|4801 5128/5183/5237|5292/5346 5673)5727|578 2|5836/5891 6218|6272/6327|6381|6436 6762|6817|6871/6926/6980 7307|7361|7416|7470|7525 7851|7906|7960|8015/8069 8396)/8450)8505|8559/8614 8940)8995|9049|9104|9158 9485)9539/9594|9648|9702 0029/0083|0138]0192|0247 0573}0628]0682|0736)0791 II17/1172|1226/1280|1335 1661|1716|1770|1824|1879 2205/2260] 2314|2368} 2423 2749|2804| 2858} 291 2|2967 3293|3347|3402|3456/3511 3837)}3891|3946|4000)4054 4381|4435|4489|4544|4598 4924|4979|5033|5087|5142 5468] 5522)5597/5631|5685 6011/6066)6120/6174/6229 6555|6609|6663|6718/6772 7098/7152|/7207/7261/7315 7641|7696|7750|7804|7859 8185/8239/8293/8348|8402 8728)/8782/8836/8891|8945 9271/9325}9380]9434/9488 9814|9868)9923)9977| +031 0357}041110466|0520|0574 0900]0954} 1008} 1063} 1117 1443] 1497|1551| 1606} 1660 1985) 2040] 209421 48/2203 2528]2582|2637|2691}2745 3071}3125|3179|3234|3288 3613/3668) 3722|3776/3830 4156/42 10|4264|4319|4373 4698) 4753) 4807|4861 |4915 5241|5295|5349|5403)/5458 5783|5837|5891|5946|6000 6325|6379|6434|6488|6542 6867/6922|6976|7030/7084 7409|7464|7518|7572|7626 7951|8006|8060|81 1 4|8168 8493|8548|8602|/8656/87 10 9035)9089/9144|9198)9252 * 9577\9631|9685!9740|9794 904 0119|0173/0227|0281|0336 066 1/0715|0769|0823|0877 1202!1125611310!136511419 On 2 AS 4 ge Re 540510406 9513/9567|9622 9949) #004|0058)01 13/0167 0494|0549|0604|0658)0713 1040] 1094] 1149}1203)1258 1585) 1640] 1694|1749|1803 2130}2185| 2239] 2294) 2349 2676| 2730] 2785| 2839) 2894 3221|3275|3330)3384| 3439 3766) 3820] 3875}3929/3984 4311|4365|4420|4474|4529 4856) 491 0|4965|5019|5074 §401|5455|5509|5564|5618 5945|6000)6054|6109/6163 6490|6544|6599|6653|6708 7035|7089|7144/7198|7252 7979|7634|7688|7743|7797 8124|8178|8233|8287/8341 8668|8723|8777|8831|/8886 921 2|9267/9321/9376|9430 9Z57/9811|9866| 992019974 0301/0355|0410|0464)0519 0845)0900}0954}1008} 1063 1389] 1444) 1498}1552|1607 1933 ee 2042|2096) 2151 2477|2532| 2586) 2640] 2695 3021|3076|3130}3184|3239 3565361 9|3674|37 28/3782 4109|4163|4217/4272|4326 4652|14707|4761|4815|4870 5196)5250|5305|5359|5413 5740|5794|5848|5903|5957 6283|6337/6392|6446|6500 6826/6881 |6935|6989|7044 7370|7424|7478}7933|7587 7913|7967|8022/8076/81 30 8456)851 1/8565|8619|8674 8999|9054/9108/9162|9217 994219597|9651/9705|9760 0085}01 40|0194/0248|0303 0628)0683|0737|0791|0846 1171/1226) 1280) 1334/1388 1714|1768| 1823} 1877/1931 2257)|2311|2365|2420|2474 2.799] 2854] 2908] 2962/3017 3342|3396|3451|3505/3559 3885 3939|3993|4047|4102 4427|4481|4536|4590|4644 9|5024|5078)5132/5186 551 2|5566/5620/5674/5729 6054|6108|6163|6217/6271 6596|6650|6705|6759|68 13 7138/7193/7247|7301|7355 7680|7735|7789|7843|7897 8222/8277/8331|8385|8439 8764/8819/8873|8927|8981 9306 9360|9415}9469|9523 9848 990219956 56h 5065 0390/0444) 0498|0552|0606 0931 oe 1040|1094|1148 1473\1 oY 6 7 8S pag 2711581'11635!1690 Diff. I 2 3 4 5 46 7. 8 pas I 2 3 4 5 6 7 8 9 Diff. Diff. & Mul} Diff. & Mult. Say 55 LI0 | 165 220 275 330 385 440 495 iy LOGARITHMS OF NUMBERS. 12] | I a ck a [ Num. 0 1 2°38 4°) 5 6-7 8 9 | Dim | vim & mult. 1020 (904 1744)1798|1852|1906;1960 | 2014 ge eh Sa 2177|2231 21 2285/2339) 2393)2448/2502 | 2556/2610/2664)2718|2772 | 92 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 | 472114775 4829| 4883) 4937 26 499° 5046/5100/5154|5208 | 5262/5316)5370)5424 5479 27 5533/5587|5641/5695|5749 | 5803|5857 591 1/5965|6020 28 6074)6128/6182/6236/6290 | 6344/6398|6452|6506|6560 a8 6615/6669/6723/6777|6831 | 6885|6939)/6993/7047|7101 | 30 30 7155|7210/7264)7318}7372 | 7426/7480|7534|7588}7642 I 54 S wdr 7696|7750|7804|7858|7913 | 7967|8021|8075|81 29/8183 2} 108 | 32 8237/8291 |8345|8399/8453 | 8507|8561/8615|8670/8724 3 | 162 | 33 8778|8832|8886|8940 sg 9048|9102/9156}9210|9264 4 | 216 | 34 9318) 9372|9426|9480/9534 | 9589|/9643|9697|\9751|9805 5 | 270 35 | * 9859/9913|9967|4021/0075 | 0129/0183}0237\0291/0345 6 | 324 | 36 | 905 et 2453 hoy 0561/0615 0669 0724/0778 0833 0886 H Bee | 0940 ae 1048/1102/1156 | 1210/1264/1318}1372|1426 i 1480] 1534/1588] 1642|1696 | 1750|1804/1858|1912|1966 aS: | 2020}2074|2128}2182}2236 | 2290)2344|2398| 2452/2506 | 2560] 2615|2669/2723|2777 | 2831|2885]2939 2993 3047 | 3101/3155)3209)3263/3317 | 3371/3425 3479|3533)3587 ; 3641)3695|3749|3803/3857 | 3911|3965|4019|4073/4127 | 54 4181]4235|4289|4343)4397 | 4451|4505|4559)| 461 3/4667 472114775|4829| 4883) 4937 | 4991|5045|5099|5153|5207 5260/5314/5368/5422|5476 | 5530/5584/5638 5692|5746 5800}5854|5g908|5962/6016 | 6070/6124/6178|6232|6286 6340/6394|6448/6502|6556 | 6610/6664/6718/6772|6826 6880|6934/6988|7042)7096 | 7149)/7203|7257/7311|7365 7419|7473|7527}7581|7635 7689|7743|7797|7851|7905 7959|8013/8067/8121/8175 | 8229|8282/8336|8390|8444 8498)855 2|8606|8660/8714 | 8768/8822|8876|8930/8984 9038| 9092/91 46/9199|9253 | 9307)/9361\9415|9469|9523 9577/9631 |9685|973919793 | 9847|9901|9954|+008]0062 0116/0170|0224|0278|0332 | 0386|0440|0494|0548|0602 0655/0709|0763|0817|0871 | 0925/0979)1033/1087|1 141 1195|1248/1302|1356|1410 | 1464}1518|/1572|1626|1680 1734 1788] 1841 |1895|1949 | 2003|2057/2111}2165)2219 2273}2327|2380/2434)2488 | 2542|2596/2650}2704/2758 281 2/2865/2919/2973|3027 | 3081}3135|3189/3243)3297 3350|3404|3458)3512)3566 | 3620/3674|3728/3781/3835 3889|3943)3997|4051/4105 | 4159/4212|4266|4320|4374 53 4428) 4482}4536| 4590) 4643 | 4697|4751|4805| 4859/4913 I 5 4967|5020]5074|5128/5182 | 5236/5290/5344/5397/545r Se an 4 §505/5559|5613/5667/5721 | 5774/5828/5882|5936|/5990 : +9 65 6044)6098|6151|6205/6259 | 6313/6367/6421/6474|6528 5 | 265 66 6582|6636|6690/6744/6798 | 6851|6905/6959|7013/7067 6 | 318 (369 7121|7174/7228)7282|7336 | 7390|7444|7497/7551|7605 7 | 371 68 7659|771317767|7820)7874 | 7928}7982/8036|8090|8143 8 | 424 69 8197/8251 /8305/8359/8412 | 8466/8520)8574|8628|8682 9 | 477 30 70 8735/8789|8843)8897|8951 | g004}9058|9112/9166/9220 71 9273|9327/9381|9435|9489 | 9543|9596|9650|/9704|9758 72 | * 9812/9865|991919973|4027 | 0081/0134/0188/0242|0296 73 | 907 0350|0403|0457|0511|0565 | 0618/0672/0726/0780|0834 74 0887|0941|0995|1049)1103 | 1156}1210)1264/1318]1372 at 1425/1479] 1533|1587|1640 | 1694/1748) 1802|1856 1909 76 1963} 2017|}2071|2124|2178 | 2939|2986|2340 2393|2447 77 2501|2555/2608}2662)2716 | 2770|2823)2877]2931| 2985 78 3038 eae 3146|3200|3254 | 3307|3361/3415|3469|3522 79 3576|3630!3684!373713791 | 3845138993952! 4006! 4060 Num Osu 1. (2- Boe oe 6 7.28 19 Diff. | Diff. & Mult. 16 K 122 Num. LOGARITHMS OF NUMBERS. a a 8080 | 907 4114/4167|4221 8x 82 83 - 84 85 $6 87 88 89 80 90 gi 92 93 94 95 96 465114705 i756 5188)5242 5296| 5726/5780|5833 6263'6317|6370 6800/6854/6908 7337|7391|7445 7874) 7928|7982 8411|8465|8519 8948} 9002/9056 9485) 9539/9593 908 0022)0076/0129 0559\061 2}0666 1095) 11491203 1632|1686)1739 2169)2222)2276 2705| 2759) 2812 3241|3295)3349 3778) 383113885 4314)4368| 4421 4850) 4904) 4957 5386)5440|5494 5922|5976|6030 6458/651 2|6566 6994|7048|7 102 7530/7584|7637 8066/81 20/8173 8602|8655/8709 9137|9191|9245 * 9673/9727|9780 909 0209/0262/0316 0744|0798|0851 o 4 4275|4329 4812) 4866 5350/5403 5887/5941 6424'6478 6961}7015 7498/7552 $046 8089 8573/8626 9109/9163 9646/9700 0183)}0237 072010773 1256)1310 1793/1847 2329/2383 2866) 2920 3402|3456 3939|3992 4475|4528 5011|5065 5547\5601 6083/6137 6619|6673 7155|}7209 76917745 8227\8280 8762/8816 9298|9352 9834|9887 0369/0423 pee 0958 BG SEF WB: SO 4382|4436|4490|4544)4597 4920|4974|5027|5081|5135 5457|551 1|5565/5618|5672 5994|6048|6102|61 56/6209 6532/6585 |6639'6693|6747 7069|71 23/71 76|7230|7284 7606|7660|7713|7767|7821 8143|8197/8250/8304|8358 8680/5734)8787|8841|8895 9217/9270/9324|9378| 9432 9754|9807)}986 1/9915) 9968 0290|0344|0398}0451)0505 0827/088 1|0934|0988) 1042 1364) 1417|1471|1525|1578 1900|1954|2008)2061)2115 2437|2490| 2544} 2598) 2651 2973|3027|3080/3134|3188 3510/}3563) 361 7|3670| 3724 4046) 4099/4153 458 2| 4636) 4689 5118 | 5072/5225 5654|5708|5762 6190|6244|6298 6726/6780/6834 4207/4260 4743|4797 5279)5333 5815/5869 635116405 6887/6941 1279|1333|1386|1440| 1494 1815/1868} 1922 ree 2029 2350|2404)2457|2511|2564 2885] 2939|2992|3046)3099 3420|3474|35 27/358 1|3634 3955] 4009 4490|4544 5o25 5079 5560/5614 4062|41 16/4169 4597|4651|4704 5132|5186)/5239 5667|5721|5774 6095/61 49|6202 6630/6683/6737 7165|7218/7271 7699|7753|7806 8234'8287|/8341 8768|8822/8875 9303/9356] 9409 * 9837|9890\9944 910 0371|0425|0478 0905|0959/1012 1440|1493|1546 1974|2027|2081 2508/2561/2615 3042/3095|3148 3576|3629)3682 4109|4163/4216 4643) 4697/4750 5177|5230|5284 5710'5764|5817 One AX eee 6256/6309 6790/6844 7325/7378 7860/7913 8394/8447 8929|8982 9463|9516 9997|*051 0532/0585 1066/1 tr 1600} 165 2134|2187 2668) 2721 3202|3255 3736)3789 4270|4323 4803) 4857 5337|53g90 5871!5924 5 ier 7262|7316|7369|7423|7477 7798}7852)7905|7959|8012 8334/8387|8441|8495|8548 8870/8923)8977| 9030/9084 9405|9459|99 1 2|9566|9619 9941|9994|*048/o101/0155 0476|0530}0583)0637|0690 1012/1065|1119|1172|1226 1547|1601|1654|1708/} 1761 208 2|2136)2189| 2243) 2297 2618|2671|2725/2778| 2832 3153|3206|3260}3313)3367 3688|3741|3795|3848| 3902 4223|4276|4330| 4383) 4437 4758|481 1|4865) 4918] 4972 5293/5346|5400|5453|5507 5828/588 1/5935/5988|6042 6362|6416|/6469|/6523)6576 6897|6951|7004|7058}71 17 7432|7485|7539|7592)7646 7966|8020/8073/81 27/8180 8501/8554/8608 8661/8715 9035|9089/9142/9196)9249 9570|9623!9677|9730/9784 0104/0158|0211|0264/0318 0638 |0692|0745|}0799|0852 1173/1 226/1279) 1333/1386 1707|1760}18 13) 1867| 1920 2241|2294|2348] 2401/2454 2775|28 28} 2882 2935/2988 3309 3362|3415|3469|3522 3842|3896|3949|4003) 4056 4376|4430|4483| 4536/4590 4910|4963|5017/5070|5123 5444)5497|5550)5604|5657 5977'603116084!6137'6191 Bo: 6. eae Diff. Diff. lo CON An wry Let Ae eS A a AB BN I OP ee AE RE BS I TE ce ee Se) Wn LOGARITHMS OF NUMBERS, DF 91 42°48 | A 910 6244 pe 6351|6404\6457 I git * 6778/6831|6884|6938|6991 7311|7364/7418|7471|7524 7844) 7898) 795 1/8004|8058 8378|8431/8484|8538)/8591 8911|8964|9018|9071|91 24 9444] 9497|9551|9604|9657 9977|#030|0084)0137}01g0 0510|0564/0617|0670|0723 1043/1096} 1150) 1203)1256 1576) 1629/1683) 1736/1789 2109|2162/2215|2269/ 2322 2642| 2695) 2748) 2802|2855 3174|3228|3281|3334|3387 3707|3760}38 1 4|3867|3920 4240] 4293/4346) 4399|4453 4772| 4825) 4879|4932|4985 5305/5358}5411/5464|5518 5837|5890)5943/5997|6050 6369)6423|6476|6529/658 2 6902/6955) 7008|7061}7114 7434) 7487| 7540/7593) 7647 7966) 8019|8072|8126/8179 8498/8551|8604|8658|871 1 9030) 9083] 9136919019243 9562|9615|9668|9721\9775 912 0094)01 47/0200|0253/0306 * 0626) 0679|0732|0785|0838 1157|1210|1264/1317|1370 1689) 1742|1795|1848| 1902 2221|2274|2327/ 2380/2433 2752/2805] 2858] 291 2/2965 3284/3337] 3390/3443) 3496 3815/3868) 3921 nes 4028 4346) 4399|4453|4506|4559 4878} 4931|4984|5037|5090 5409|5462/5515/5568)/5621 5940|5993|6046|6099)6152 6471|6524|6577/6630/6683 7002/7055|7108|7161|7214 7533!7586|7639|7692|7745 §064/8117/8170|8223/8276 8595|8648|8701 ey 807 91 26|9179|9232/9285|9338 9656|9709|9762/9815)9868 913 0187|0240|0293|0346)0399 0717|0770|0824/0877\0930 1248) 1301|1354|1407| 1460 1778|1831|1884)1937|1990 2309) 2362)2415|2468| 2521 2839) 2892|2945]2998/3051 3369 3429 3495 3228 3581 3899) 3952|4005|4058/4 111 4430} 4483}4536| 4589) 4642 4960|5013|5066)5119|/5172 5490|5543/5596|5649)5702 6019|6072/61 25/6178|6231 6549)/6602|6655|6708/6761 7079|7132|7185|7238)7201 7609) 76621771 517768|7821 Oe L142 298 PA BD FG Pal 2°89 6511\6564 6618} 667116724: 7044)7098)7151!17204|7258 7978|7631'7684| 7738/7791 8111/8164 8218\8271/8324 8644/8698)/8751|8804|8858 9177/9231|9284/9337/9391 9711|9764/9817|9871)\9924 94419297 0350|0404|0457 07770830} 0883/0937 | oggo 1310}1363/1416)1470|1523 1843) 1896) 1949) 2002/2056 2375) 2429) 248 2| 2535! 2588 2908) 2961/3015|3068/3121 3441|3494 3547|3601|3654 3973)4027) 4080}4133}4186 4506|4559) 461 2|4666| 4719 5038} 5092|5145|5198/5251 5571|5624/5677|5731|5784 6103|6156'6210|6263/6316 6635|6689|6742|6795|6848 7168/7221|7274|7327/7381 7700|7753}7806/7859|7913 §232/8285/8338/8392|8445 8764|8817/8870|8924|8977 9296|9349|9402/9456| 9509 9828) 9881|9934|9987| +041 0360|0413|0466}0519}0572 0891 /0945}0998|1051}1104 1423/1476] 1529/1583) 1636 1955} 2008 | 2061|2114|2167 2486) 2539} 2593] 2646 2699 3018}3071/3124}3177|3230 3549|3602|3656| 3709/3762 408114134|4187|4240 4293 461 2|4665}4718|4771 4824 5143/5196|5249|5303/5356 5674/57 28/5781 |5834|5887 6206/6259)631 2|6365/6418 6737|6790|6843|6896|6949 7268/7321/7374|7427|7480 7798|7852|7905|7958/8011 8329/8382|8436/8489/8542 8860|8913|8966|9019|9072 9391|9444|9497/9550|9603 992219975|4028|008 1/0134 045210505'0558|0611|0664 0983) 1036) 1089]1142|1195 1513|1566)1619| 1672/1725 2044] 2097} 2150) 2203)}2256 2574) 2627| 2680} 2733/2786 3104)3157|3210/3263/3316 3634 3687|3740)3793|3846 4165|4218]4271|4324|4377 4695) 4748 | 4801} 4854|4907 5225)/5278/5331|5384/5437 5755|5808|5861)/5914|5967 6284|6337|6390|6443|6496 6814|6867,6920|6973}7026 7344|7397|7450|7503}7556 7874|7927|7980|8033 /8086 ms 96, 278.9 123 ! Diff. | Diff. & Mult. Diff. 53 106 159 212 265 318 art 424 477 OO COI HAR wh - 52 104 156 208 260 312 364 416 468 lo Cr MDOhwrnr -» Diff. & Mult. 124 Num. LOGARITHMS OF NUMBERS. Orig Gd Bes Be -B: ett G8 8 8200 | 913 8139, 8191/8244 8297\8350 OI 02 03 04 05 06 O7 08 8668/8721,8774 8827/8880 9198)9251 9304'9356 9409 * 9727/9780 .9833)9886!9939 914 0257|0309|0362|0415|0468 0786/0839)0892)0945 0998 1315|1368|1421|1474|1527 1844) 1897|1950|2003) 2056 2373|2426]2479|2532|2585 2903} 2955) 3008) 3061 3114 3432|3484|3537|35g0|3643 3961| 4013/4066) 4119|4172 4489) 4542|4595|4648|4701 5018|5071|5124|5177|5230 5547|5600/5653|5706|5758 6076/61 29/6181 |6234'6287 6604/6657|6710/6763/6816 7133|7186}7239|7291|7344 76611771 4|7767|7820|7873 8190/8243/8295/8348|84o1 8718|8771|8824|8877|8930 9246|9299|9352|9405/9458 9775|9828| 9880/9933 9986 0303]0356|0409/0461)0514 083 1|0884]0937|098g] 1042 1359|1412|1465/1517|1570 1887] 1940} 1993} 2045)2098 2415|2468)2521|2573)|2626 2943 a 3048|3101|3154 3471|3523)3576|3629|3682 3998) 4051|4104]4157|4209 4526|4579|4632|4684|4737 5054|5106/5159}521 2/5265 5581 |5634|5687|5739|5792 6109|6161|6214/6267|6320 6636|6689|6742!6794|6847 7163}7216)7269/7322|7374 7591 |7743|7796|7849|7902 §218|/8271|8323/8376|8429 8745|8798|8850) 8903/8956 9272|9325}9378|9430|9483 9799|9852|9905|9957| #010 0326|0379|043 1|0484|0537 0853)0906|0958] 1011|1064 1380) 1433/1485|1538) 1591 1907|1959| 201 2|2065/2117 2433} 2486) 2539] 2591] 2644 2960)3013}3065|3118)3171 3487|3539}3592|3644|3697 4013|4066!4118|4171|4224 4539) 4592|4645|4697|4750 5066/51 19)5171)5224/5276 5592|5645|5697|5750|5803 6118/6171|6224)6276/6329 6645|6697|6750|6802|6855 7171|722317276|7329|7381 7697|7749|7802|7855|7907 8223/8275/8328)/8381|8433 8749|8801|8854|8907|8959 ek 9327193801943219485 Oud 2 3 4 8403'8456)8509|8562 8615 8933 8986) 9039|9092 9145 9462'9515/9568/9621'9674 9992)|+045|0098 0151/0204 ee 0574|0627|0680!0733 1050|1103/1156}1209|1262 1580] 1633] 1686] 1738/1791 2109|2162|2215)2268) 2321 2638|2691|2744| 2797/2850 3167|3220}3273/3326|3379 3696)3749|3802)3855|3908 4225|4278|4331|4384|4437 4754|4807| 4860] 491 2|4965 5283)/5335}538815441|5494 5811|5864)5917|5970|6023 6340|6393|6446|6499|6551 6869/6921 |6974|7027|7080 7397|7450)7503}7556)| 7609 7926|7978)/8031 |8084|8137 8454|8507|8560|8613|8665 8982|9035|9088|91 41/9194 va 9563}9616}9669'9722 +039|0092|0144|0197|0250 0567|0620|0673)0725\0778 1095|1148}1201|1253|1306 1623/1676|1729|1781|1834 2.151|2204}2257|2309|2362 2679|2732| 2784) 2837| 2890 3207|3260]331 2|3365|3418 3734|3787)/3840|3893)3946 4262|4315|4368|4420|4473 4790|4843|4895|4948|5001 5317|5370|5423|5476)5528 5845|5898|5950|6003/6056 6372|6425|6478/653 1 |6583 6900|6952|7005/7058) 7111 7427|7480|7532|7585|7638 7994|8007|8060/8 11 2/8165 8481|8534|8587|8640|8692 9009/9061 |9114/9167|\9219 9536/9588) 9641|9694)9746 0063}0115|0168|0221|0273 0590|0642|0695}0748|0800 1116|1169)1222/1274|1327 1643} 1696]1749|1801/1854 2170|2223|2275}2328|2381 2697|2749| 2802/2855) 2907 3223)3276)]3329|3381|3434 3750}3802|3855|3908 | 3960 4276|4329|4382)|4434| 4487 4803} 4855) 4908|4961 |5013 5329|5382|5434|5487|5540 5855/5908 |5961|6013 6066 638 2|6434|6487|6539 6592 6908|6960}7013}7066)7118 7434|7486|7539|7592|7644 7960)801 2|8065|8118 8170 8486/8538)|8591|8644 8696 9012)9064|9117/9169'9222 953819590!9643'9695 9748 5) GO 727 ae See Diff. Diff. Diff. & Mu OO OWN ODOb wn | | ———_—_—_—_— Diff. & Mult LOGARITHMS OF NUMBERS. Qe: jl * 9800/9853 917 0326/0379 0852|0904 1378} 1430 1903/1956 2429/2481 2138 4 me - Og T2358 9 9906/9958 | ort 0431 |0484|0537 0957| L010) 1062 1483) 1535/1588 2008 2061/2113 2534) 2586)2639 2954|3007 3059) 3112/3164 ne 3532 400 3584| 3637/3690 4057|41 10! 416214215 4530) 458 2| 4635 | 4687/4740 5055/5108 5580}5633 5160|5213/5265 5685) 5738|5790 6105/6158 6210/6263/6315 6630/6683 7155|7208 7680)7733 8205/8257 8730/8782 9254}9307 * 9779\9831 918 0303/0356 6735|6788|6840 7260)7313}7365 7785)|7837/|7890 8310|8362|8415 8834|8887|8939 9359] 9412|9464 9884) 9936/9989 0408/0461 0513 0063|0116|/0169}0221|0274 | 0589|0642\069410747|0799 tris 9 1167|1220]1272|1325 1640|1693|1745/1798| 1851 2166/2218) 2271/2323|2376 2691/2744] 2796|2849|2901 3217|3269/3322|3374/3427 3742|3795|3847)/3g00]3952 4267|4320|4372|4425|4477 4793) 4845| 4898) 4950|5003 5318)5370|5423/5475/5528 5843|5895|5948|6000/6053 6368/6420/6473/6525/6578 6893|6945|6998|7050!7103 7418|7470!7523|7575|7628 7942|7995|8047|8100|8152 8467|8520/8572 8992|9044|9097 9517/9569) 9621 #041|0094|01 46 0566|0618/0671 8625/8677 9149|9202 9674/9726 0198)0251 0723/0775 08 28/0880|0933)0985| 1038 1352|1405| 1457) 1510}1562 1877/1929] 1981| 2034/2086 2401}2453)| 2506) 2558} 2611 2925|2978| 3030) 3082/3135 3449|3502|3554/3607|3659 3973| 4026] 4078) 4131|4183 4497|4550} 4602| 4655/4707 5021|5074/5126)5179|5231 5545/5598] 5650) 5702/5755 6069/61 22|6174|6226|6279 6593 6645|6698)/6750|6802 7117/7169|7221|7274|7326 7640] 7693/7745|7797|7850 8164/8216)8269/8321|8373 8687|8740|8792/8844|8897 1090|1143)1195]1247|1300 1614|1667/1719|1772|1824 2139] 2191|2244| 2296) 2348 2663} 2715/2768) 2820] 2873 3187|3240|3292|3344|3397 3711|3764|38 16) 3869|3921 4235|4288|4340|4393|4445 4759|481 2| 4864491 7/4969 5283/5336|5388)/5441|5493 5807/5860|591 2|5964/6017 633 1|6383)/6436|6488)6541 6855|6907|6960|701 2/7064 7378/7431|7483)7536)7588 7902|7954|8007/8059|8112 8426/8478 8949|g002 8530|8583)8635 9054|9106}9159 9211/9263 * 9734\9787 9316|9368|9420 9839|9891|9944 919 0258|0310|0362|0415|0467 078 1|0833)0886| 0938] 0990 1304] 1356} 1409] 1461}1513 1827) 1880] 1932} 1984/2037 2350| 2403) 2455/2507|2560 2873) 2.926|2978| 3030/3083 3396|3449|3501| 3553/3606 3919|3972|4024| 40764128 4442|4494) 4547|4599| 4651 5017|5069/51 22/5174 5488)5540|5592|5644|5697 6010/6062/6115/6167|6219 6533 |6585|6637|6690|6742 7055|7108}7160|721 2/7264 7578} 7630|7682|7735|7787 8100/8152|8205|8257|8309 8623 '8675|8727|8779|8831 9145 9197/92491930119354 * 9667/9719|9771|9824|9876 920 0189024 1|0294|0346|0398 071 11076310816!0868]0920 Qik $20 eS ae 9473|9525|9577|9630|9682 9996|+048/o101|/0153/0205 0519|0572|0624/0676|0729 1043|1095/1147|1200|1252 1566] 1618] 1670]1723)1775 2089|2141| 2193/2246) 2298 261 2|2664) 2717/2769) 2821 3135|3187|3239/3292|3344 3658|3710|3762|38 15/3867 41814233) 4285|4338|4390 4703|4756| 4808/4860) 4913 5226|5279/5331/5383|5435 5749|5801/|5853]5g06/5958 6272|6324|6376/6428|/6481 6794|6846|6899|6951|7003 7317|7369|7421|7473|7526 7839|7891|7943/7996|8048 8361 |8414|8466|8518|8570 888 4|8936|8988|9040|9093 9406|9458}9510/9563|9615 9928/9980} ¢033|0085|0137 0450|0502)0555|0607|0659 09721102411077/112911 181 By. CO. 7 88, 69 K* Diff. Diff. lc Cn AoW wn wa 125 | Diff. & Mult, 53 106 159 212 265 318 371 424 477 OO OI OAR wD 4 to [@>) 2) | Diff. & Mult. 126 Num. 8320 | 920 21 . 3842 921 922 * 923 Orc 1233)1285 1755|1807 2277/2329 2799)|2851 SSIS 3895 43644416 4886) 4938 §407/5459 5929/5981 6450/6502 6971|7023 7493|7545 801 4|8066 8535/8587 9056/9108 9577/9629 0098/0150 0619/0671 1I4O}11g2 1661 2181 2702 3229 3743|3795 4263|4315 4784|4836 5304|5356 5824|5876 6345|6397 6865|6917 7385/7437 7905/7957 8425/8477 8945)8997 9465/9517 9984| +036 0504/0556 1024|1076 1543}1595 2063)2115 2634 2|3154 2113673 4I4o 4192 4659)4711 79)5231 5698/5750 6217/6269 6736/6788 725517306 7773|7825 8292/8344 8811/8863 9330)9381 9848/9900 0367/0419 0885/0937 1404|1455 192211974 0 1 1713 2233 2754 3274 LOGARITHMS OF NUMBERS. 2 3 4 1338) 13901442 1860] 1912/1964 2381/|2434| 2486 2903} 2955/3008 3425|3477|3529 3947/3999|4051 4468} 4521|4573 4990|5042|5094 5511|5564|5616 6033)/6085|6137 6554|6606|6659 7076|7128}7180 7597|7649)7701 8118)8170|8222 8639/8691|8743 g160|921 2|9264 968 1|9733|9785 0202|0254|0306 0723|0775|0827 1244|1296|1348 1765/1817|1869 2.285/2337|2389 2806|2858]2910 3327|3379|3431 3847|3899/3951 4367|4420\4472 4888) 4940] 4992 5408|5460/5512 5928|5980)|6032 6449|6501|6553 6969|7021|7073 7489|7541|7593 8009/8061 |8113 8529/8581 |8633 g049\9101|9153 9569|9620|9672 0088/01 40|0192 0608}0660|0712 1128)1180}1232 1647|1699|1751 2167|2219)2271 2686}2738) 2790 3206|3257|3309 3725|3777|3829 4244|4296|4348 4763|4815|4867 5282|/5334/5386 5801|5853)5905 6321/637216424 6839|6891|6943 7358)7410|/7462 7877|7929|7981 '8396/8448|8500 8915|8967|9018 9433|9485)9537 9952|#004|0056 0470|0522|0574 0989)1041|1093 1507\1559) 1611 2026/2077/2129 2 3 4 has aif 1494|1546)1599 2016|2068)2121 2538] 2590}2642 3060|3112/3164 3582)|3634|3686 4103)4155|4208 4625|4677|4729 5146)5199|)5251 5668/5720|5772 6189|6241|6294 6711/6763/6815 7232|7284|7336 7793)|7805|7857 8274|8327|8379 8796]/8848|89g00 9317|9369/9421 9838}9890|9942 0358}041 1/0463 0879 0931 0983 1400] 1452/1504 1921/1973/2025 2442|2494|2546 2962| 301 4/3066 3483) 3535|3587 4003|4055|4107 4524|4576|4628 5044] 5096|5148 5564|5616/5668 6085|6137|6189 6605|6657/6709 7125)7177/7229 7645|7697|7749 8165|8217|8269 8685/8737|8789 9205|9257/9309 9724|9776|9828 0244]0296|0348 8g 1651/1703 2173|2225 2695|2747 3216|3269 3738}3790 4260/4312 4781| 4833 5303/5355 5824|5876 634616398 6867/6919 7388/7440 7910/7962 8431/8483 8952|g004 9473|9525 9994|+046 0515/0567 1036) 1088 1556} 1608 2077|2129 2.598]2650 3118}3170 3639) 3691 4159|4211 4680) 4732 5200/5252 5720/5772 6241/6293 6761/6813 7281/7333 7801}7853 8321/8373 8841|8893 936119413 9880) 9932 0400|0452 0764/0816 1283}1335 1803/1855 2323/2374 2842|2894 336113413 0868|0920|0972 1387|1439|1491 1907/1959] 2011 2.426|2478| 2530 2946} 2998|3050 3465)|3517|3569 38813933} 3984 4400] 4452|4504 4919|4971|5023 5738 S4ps 5542 5957|6009|6061 6476|65 28/6580 6995}7047|7099 7514|7566|7618 8033|8085|8137 8552|8603/8655 9070|91 22/9174 95599641 /9693 O107/015g9/0211 0626|0678/0730 1144|1196}1248 1663}1715|1766 218112233)2285 MT! 4036) 4088 4556} 4608 5075/5127 5594|5646 6113/6165 6632/6684 7151|7203 7670/7722 8188/8240 8707/8759 9226/9278 974419796 0263/0315 0781|0833 1300|1352 1818)1870 2337/2388 S29 Diff. | Diff. & Mu) — a 52 lo COW Dob wb OO O11 AoW wn tN Diff. | Diff. & Mult LOGARITHMS OF NUMBERS. SH) Orgs W'at Be 49 | Num. he 2 S24 3-4 13380 | 923 2440) 2492|2544)2596, 2647 Sr 2958}3010|3062/3114/3166 82 3477)|3528|3580) 3632/3684 83 3 99}4046)4098) 4150) 4202 84 4333 4564 4616] 4668) 4720 85 5031|5082|5134|5186) 5238 86 5549| 5600) 565 2|5704|5756 87 6066/61 18)/6170|6222'6274 88 6584/6636 '6688/6740/6791 89 7102|7154|7205|7257|7309 33 90 7620/7671 |7723/7775|7827 } 91 8137|8189/8241/8292|8344 L 92 8655|8707|/8758)/ 8810/8862 fb 93 9172|9224|/9276/ 9327/9379 94] * 9690/9741/9793/9845|9897 | 95 | 924 0207/0259|0310/0362/0414 | 96 0724|0776|0828|0879|0931 if 97 1242/1293|1345}1397|1448 1 98 1759|1810|1862/1914|1966 1 99 2276) 2328/2379) 2431| 2483 13400 2793} 2845 | 2896] 2948] 3000 1 or 3310/3362)3413/3465) 3517 4} 02 3827/3878) 3930/3982| 4034 1 03 4344) 4395| 4447|4499| 4550 | 04 4860) 491 2|4964|5015|5067 05 5377|5429|5481/5532/5584 | 06 5894|5946|5997|6049|6101 } 07 6410|6462)6514/6565|6617 | 08 6927|6979|7030|7082|7134 | 09 7444\7495|7547|7598|7650 1}4 10 7960)801 2/8063/81 15/8167 | II 8476|8528)8580|863 1/8683 | 12 8993|9044|9096/9148|9199 13 9909/9561 }961 2|9664/9715 ) 14 | 925 0025/0077/0128/0180|0232 | 15 0541|0593|0644)0696|0748 1 16 1057|1109|1 160} 1212/1264 } 17 1573] 1625|1676| 1728/1780 Hi 18 spa 2141 /2192|2244) 2296 ae f°) 2605} 2657/2708) 2760) 2811 \4 20 3121/3172|/3224|3276|3327 ue 8 3637|3688/3740)3791/3843 aa 4152|4204|4256| 4307/4359 1 ag 4668) 4720/ 4771/4823) 4874 24 5184|5235/5287|5338) 5390 | 25 see 5751|5802|5854|5g905 26 6215|6266/6318)6369/6421 27 6730|678 1683368856936 | 28 7245|7297|7348|7400|7451 29 7761|781 2|7864)7915|7967 | 430 8276/8327|8379|8430/8482 31 8791|8842|8894|8945|8997 | 32 9306/9357|9409|9460|9512 | 33 | * 9821|/9873|9924|9975| +027 | 34 | 926 0336)0387|0439|0490|0542 | 35 0851|0902|0954| 1005] 1057 i! 36 1366|1417|1469|1520\1572 37 1880] 1932/ 1983/2035] 2086 38 2395|2447| 2498} 2550} 2601 39 2910!2961!3013|3064'3116 ‘um, 2 3 4 Ov. T 2699 2751 3217/3269 3736|3787 42544305 4772\ 4823 5290/5341 580815859 6325\6377 68436895 7361/7413 78787930 8396|8448 8913/8965 9431/9483 9948) #000 0466 0983 1500 2017 2534 3051 3568 4085 4602 SIIg 5636/5687 6152/6204 6669/6720 7185/7237 7702|7793 8218/8270 8734/8786 9251/9302 9767|\9819 0283/0335 0799/0851 1315|1367 1831|1883 2347|239 2863 ber k 3379/3430 3895|3946 4410)4462 4926) 4977 5441|5493 5957|6008 6472/6524 6988}7039 7503|}7554 8018/8070 8533)8585 g048|g100 9563/9615 0078)0130 0593}0645 1108/1160 1623|1675 2138) 2189 2653/2704 o517 1035 £552 2069 2586 3103 3620 4137 4654 5170 2803 '3321 3839 4357 4875 2855 3891 4409 4927 5393)5445 5911|5963 6429/6481 6947)6998 7464|7516 7982/8034 8499)8551 9017/9069 9534/9586 0052/0104 0569/0621 1086/1138 1604} 1655 12121/2172 2638)2689 3155) 3206 3672/3723 4189/4240 4705|4757 5222/5274 5791 6307 6824 7340 7857 8373 8889 9406 573 6255 6772 7289 7805 8321 8838 9354 9870/9922 0386/0438 0902|0954 1418|1470 1934/1986 2450/2502 2966|3018 3482/3534 3998) 4049 4513}4565 5029|5080 5544/5596 6060/6111 6575/6627 7091|7142 7606|}7657 8121/8173 3167/3219 8636|8688 9151/9203 9667|9718 0181/0233 0696)0748 1211/1263 1726/1778 2241|2292 2755/2807 sats 3373}3425 3943 4461 4979 5497 6015 6532 7050 7568 8085 8603 9120 9638 0155 0673 1190 1707 2224 2741 3258 3795 4292 4809 5326 5842 6359 6875 7392 7908 8425 8941 9457 9973 0490 1006 1522 2038 2554 3069 3585 4GIOI 4616 5132 5648 6163 6678 7194 7709 8224 8739 9254 9779 0284 0799 1314 1829 2344 2858 3270|3322! J373 Ho a 8 9 Diff. Diff. 127 Diff. & Mult. OO CII MOO wd (Se) = No cE 102 153 204 255 306 gay 408 459 Oo OI AOD wp - Diff. & Mult. Lis 128 Num. 0 l LOGARITHMS OF NUMBERS. SF HZ A B +6 ey °RB 89 Diff. Diff. & Mul 368 2|3733|3785|3836|3888 he 3939 4453 4968 5482 5997 627, 7025 7539 8053 8567 9081 * 9595 927 O109) 0622 1136 1650 8440 1926 3424)3476|3527|3579| 3030 4 39|3990) 404 2|4093 4505/4556) 4608 5019,5071|5122 5534|5585|5637 6048)/6099|6151 6562'661 4/6665 7076)71 28/7179 7590|7642|7693 8105)8156|/8207 8618)|8670/8721 9132!9184/9235 9646) 9698'9749 0160!0211/0263 4145 4659 S174 5688 6202 6716 7231 7745 8259 8773 9287 9800 0314 0674 1187 1701 0725|0777|0828 1239/1290|1342 1752|1804|1855 4196} 4248) 4299 4711|4762|4814 5225|5277|5328 5739|5791|5842 6254|6305/6357 6768/68 19}6871 7282/7333) 7385 7796|7847|7899 8310|8362/8413 4351|4402 4865|4916 5379/5431 5894/5945 6408/6459 6922/6974 7436/7488 7950|8002 8464|8516 8824|8875|8927 9338/9389}9441 9852/9903) 9955 0366) 0417/0468 0879)/0931|0982 1393|1444)1496 8978]}g030 9492/9543 #006|0057 0520/0571 1033]1085 1547|1598 1907|1958) 2009 2061/2112 2163) 2215/2266/2317|2369 2677|2728/2780)| 2831 | 2882 3190|3242|3293|3344) 3396 3704) 3755} 3806 3858] 3g09 4217|4268|4320/4371|4422 4730|4782'4833! 4884] 4935 5243|5295|5346/5397|5449 5757|5808|5859/5910|5962 6270|6321|6372'6424/6475 6783|6834|6885 6937)6988 7296|7347|7398|7449|7501 7808|7860/7911|7962|8014 8321|8373)8424/8475|8526 2420|2471|2523/2574]2625 2934| 2985) 3036/3088)/3139 3447|3498|3550| 3601 |3652 3960}401 2|4063!4114|4166 4474) 4525} 4576|4628|4679 4987)|5038|5089|5141|5192 5500|5551|5603|5654|5705 6013)6064|61 16|6167|/6218 6526/6577|/6629/6680|6731 7039|7090|7142|7193)7244 7552|7603|}7655|7706/7757 8065/81 16/8167|8219/8270 8578)/8629|8680|8732|8783 9142|9193|9244|9296 5603 9654 ane a 9808 0116}0167|0218|0270/0321 0628]0680|0731|0782|0833 1I41|1192/1243)1295/1346 1653|1705|1756|1807|1858 2166|2217|2268/2319/2371 OO COYW Ar wd 8834|8885|8937/8988) 9039 9347/9398|9449 9501/9552 * 9859/9911|9962|+013|0065 928 0372/0423|0475,0526|/0577 0885 |0936)0987| 1038) 10go0 1397|1448} 1500|1551| 1602 190g9|1961|2012|2063|2114 2429 2934 3446 2473)2524 2985|3037 3498/3549 2576/2627 3088 3139 3600/3651 2678] 2729} 2780)2832|2883 3190|3241}3293 3702/3754|3805 3344|3395 3856|3907 3959|4010|4061|411 2/4163 4471452214573) 4624|4675 4983|5034}5085|51 36/5187 5495|5546|5597 5648/5699 6007/6058)/6109 6160/6211 6518|6570|6621|6672/6723 7030|7081|7133'7184|7235 7542|7593|7644;'7696|7747 8054|8105|8156 8207/8258 8565/8616 wiaed ied 8770 9077/91 28/9179 9230/9282 * 9588)9640/9691 9742/9793 929 0100/0151 |0202 0253/0304 0611/0662|0714 0765/0816 1123|1174/1225 1276|1327 1634} 1685 1736.1787 1838 2145/2196) 2247 2298|2350 2656) 2707 2758 2810 2861 3167|3218/3269 3321/3372 3678!3729'3780 383213883 Owed AR 1HB - v4 4215|4266|4317|4368)4419 4727|4778| 4829) 4880/4931 5239/5290|5341|5392|5443 5751|5802/5853/5904}5955 6263)6314}6365|6416|6467 6774|6826|6877|6928/6979 7286|7337|7389|7440/7491 7798|7849|7900|7951 |8003 8310/8361/8412|8463/8514 8821/8872|8923|8975|9026 9333/9384)9435|9486|9537 9844,9895|9945| 9998 #049 0356 ,0407|0458|0509|0560 0867/0918 0969/1020/t071 pen 1480}1532)}1583 1889) 1941/|1992|2043| 2094 2401} 2452/2503} 2554) 2605 291 2|2963|3014)3065/3116 3423)3474|3525|3576| 3627 393413985! 403614087!4138 Do: 6. 27 8. ae OOINAMAANHR WH Diff. LOGARITHMS OF NUMBERS. Oc Te2-'3. 4 13500 | 929 4189)4240)4291|4343) 4394 ; 4700]4751|4802|4853 4905 5211|5262/5313)5364 5415 5722|5773/5824/5875|5926 6233/6284/6335 6386 6437 6743)\6794|6845 68966947 7254|7305|7356)}7407|7458 - 7764|7815|7866)7917|7969 8275|8326|8377/8428|8479 8785/8836 /8887/8938 8989 9296|9347/9398|9449)9500 * 9806|9557|9908)/9959|¢o10 930 0316}0367| 0418) 0469/0520 0826|0877|0928]0979| 1030 1336) 1387| 1438/1489] 1540 1847) 1898} 1949|2000}2051 2357| 2408} 2459| 2510/2561 2866/2917) 2968|3019|3070 3376|3427|3478)3529)3580 3886} 3937/3988! 4039] 4090 4396|4447|4498| 4549] 4600 4906) 4957|5008/5059|/5110 5415|5466|5517/5568/5619 5925|5976|6027/6078|61 29 6434/6485'6536/6587|6638 6944|6995|7046|7097|7148 7453|7504|7555| 7606} 7657 7963|801 4|8064/8115|8 166 8472|8523/8574|8625|8676 8981|9032|9083/9134]9185 9490] 994119992) 9643/9594 9999|#050/0101/0152|0203 0508/0559|0610)0661/0712 1017|1068|111g/1170/1221 1526| 1577} 1628] 1679|1730 2035] 2086/2137] 2188/2239 2544] 2595} 2646) 2697) 2748 3053/3104|3155|3205|3256 356 2/361 2|3663/371 4/3765 4070|4121|4172|4223|4274 4579|4630| 4680/4731 |4782 5087|5138}5189)5240/5291 5596|5647|5697|5748|5799 6104|6155|6206|6257/6307 661 2/6663|6714|6765/6816 7121/7171|7222|7273 7629|7680|7731|7781 8137/8188/8239)8289|8340 8645|8696/8747|8798|8848 9153|9204|9255|9306)9356 * 9661/9712|9763|9814|9864 932 0169|0220|0271|0321/0372 0677|0728)}0778|0829|0880 | 1185| 1235/1286) 1337/1388 | 1692|1743)1794|1845|1896 2200] 2251|2302|2352|2403 2708| 2759] 2809] 2860) 2911 3215/|3266/3317/3368}3418 3723/3774] 3824/3875|3926 4230\4281|4332|4382|4433 Peak P28 te4 a? LON OTS MO 4445 4496|4547|4598 4649 4956 5007 5058/5109 5160 5466 5517 5569 5620 5671 5977, 6028/6079 6130)/6181 6488 6539|6590|6641|6692 sh 7050 7203 7509/7560 7713 8020)8071 8294 8530/858 1/863 2|8683/8734 9040] 9091/9142/9194/9245 9551)9602}9653|9704|9755 0061/01 12/0163)0214)/0265 0571|0622/0673|0724|0775 1081/1132/1183}1234|1285 1591|1643|1694/1745|1796 2102/2153}2204|2255)| 2306 2663} 2713|2764|2815 3172|3223|/3274/3325 3682|3733/3784|3835 4192|4243|4294|4345 4702|4753|4804 5211/5262/5313 5721|5772|5823 6231/6282|6333 6740|6791|6842 7250|7300/7351 7759|7810|7861 8268|8319/8370 8777|8828)/8879 9287|/9338|9388 9796|9847|9898 0305|0356|0407 08 14|0865|0g16|0967 1323/1374|1425|1475 1832|1883| 1933) 1984 2341/2391 }2442|2493 2849} 2900}2951|3002 3358)3409)3460]3511 3867|3918|3968/4019 4375|4426)4477|4528 4884|4935|4986}5036 5392|5443|5494|5545 5901|5952|6002|6053 6409 6460/6511 |6562 6917|6968|7019}7070 7426|7476|7527}7578 7934|7985|8035|8086 8442|8493|8544|8594 8950|g001|g052|9102 9458|9509|9560|9610 9966} ¢017|0067|/0118 0474|0525|0575|0626 0982) 1032 1083]1134 1489} 1540|1591|1642 1997/2048] 2099| 2149 2.505|2555| 2606] 2657 962|301 2|3063/3114|3165 3469|3520|3571|3621|3672 3977|4027|4078| 41 29/4180 4484) 453514585|4636| 4687 a6 47.28 °<9 Diff. Diff. 129 Diff. & Mult. Diff. & Mult. 130 Num. 0 1 Or Mess 44. 8560 1932 4738/4788 48394890 4941 61 5245|5296) 5346|5397/5448 62 §752|5803/5854|5904 5955 63 6259|/6310|6361|641 2.6462 64 6767/68 17|6868|691 9 6969 65 7274|7324|7375|7426|7476 66 778 1|7831|7882|7933!7983 67 8288/8338|/8359|8440'8 490 68 8795/8845|8896|8947|8997 69 9301|}9352}9403|9453 9504 8570 | * 9808/9859/9910|9960 e011 71 | 933 0315}0366/0410/0467/0518 72 0822}0872|0923/0974|1024 73 1328]1379|1430]1480/1531 74 1835|1885| 1936] 1987 2037 75 2341|2392|2443|2493) 2544 76 2848] 2898] 2949|3000| 3050 o 3354|3405|3499|3506|3557 78 3860}3911|39602| 401 2| 4063 79 4367|4417)4498|45 1914569 85 80 4873) 4923|4974|5025|5075 81 5379}5430|5460]553 1/5581 82 5885|5936|5986|6037'6088 | 83 6391|6442|649216543/6594 84 6897|6948)}5995!7049|7099 85 9403|7454|7994|7555|9605 86 7909|7959|8010/8061/8111 87 8415|8465|85 16/8566/8617 88 8920|8971|9021|9072/91 23 89 9426|9477 9527 9578|9628 85 90 321998 2|¢033|0083/0134 “ 934 2339 7788 0538 0589/0639 92 0943|0993}1044| 1094) 1145 93 1448] 1499] 1549|1600|1650 94 1953|2004|2095|2105|2156 95 2459|2509|2560] 2610/2661 96 2964|3015|3065)31 16/3166 97 3469|3520|3579}3621/3671 98 3974|4025|4079|4126/4176 99 4479|4530| 4580] 4631| 4682 86 00 4985|5035|5086]5 1136/5187 OI 5489|5540 5590/5641 5691 02 5994)\6045|6095|61 46/6196 03 6499|6550|6600|665 1/6701 04 7004|7054}7195|7155|}7206 05 7509|7559|7510|7660|7711 06 8013|8064/8114)8165|8215 07 8518|8568|8619/8669|8720 08 9023/9073|9123|9174\9224 09 9527|9578|9628 \9678|9729 86 10 | 935 0032/0082|0132/0183]0233 II 0536|0586|0637/0687]/0738 12 1040] 1o91|1141}1191|1942 13 1544] 1595| 1645/1696] 1746 14 2049|2099]2150|2200| 2250 15 2553] 2603) 2654/0704|2754 16 3057|3107|3158/3208}3259 17 3561|361 1|3662|371 2/3763 18 4065|4115|4166| 4216/4266 19 4569|4619|4670| 472014770 Num. 0 ] 2 3.4é«4 LOGARITHMS OF NUMBERS. De Ger ee ee. ~ 29) 499115042) 5093/51 44)5194 5499|5549|5600|5651|5702 6006/6057|6107/6158/6209 6513/6564/661 4/6665/6716 7020}7071|7122/7172|7223 7527|7578|7629|7679|7730 8034|/8085/8136|8186/8237 8541|8592|8643| 8693/8744 9048} 9099|9149)9200/9251 9555|9606/ 9656) 9707/9758 0062/0112/0163)0214/0264 0568] 0619|0670}0720|0771 1075|1126/1176|1227/1278 1582] 1632|1683| 1733/1784 2088} 2139] 2189] 2240/2291 2595| 2645} 2696] 2746/2797 3101}315213202]3253/3303 3607|3658|3709 3759/3810 4114|4164]4215| 4265/4316 4620|4670|4721|4772|4822 5126]5177|5227|5278|5328 5632|5683|5733)/5784|5834 6138|6189|6239/6290/6341 6644 6698 6745|6796|6846 7150}7201/7291|7302/7352 7656|7707|7797}7808] 7858 8162/821 2/8263/8313/8364 8668/87 18}8769/88 19/8870 9173|9224|9274)9325|9375 967919729|9780|9831|9881 0184/0235|0286|0336|0387 0690|0740|0791|0842|0892 1195/1246} 1296/1347|1398 1701/1751}1802/1852/1903 2206/2257] 2307| 2358) 2408 271 1}2762|2812|}2863/2914 3217|3267|3318}3368|3419 3722|3772|/3823/3873/3924 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LOGARITHMS OF NUMBERS. Opes a0 eB 4 eee 938 5197|5247)5297 5947) 9397 I 5698)/5748/5798)|5848 5848 6198|6248/6298/6348 6398 6698|6748|6798)/6848 6898 7198|7248|7298|7348|7398 7698)7748|7798|7848|7898 8198)/8248/8298/8348 8398 8698/8748|8798|8848 8898 9198|9248|9298/9348|9398 eS a A ed 5447|5497|5547|5598)| 5648 5948|5998/6048|6098|6148 6448|6498|6548/6598/6648 6948/6998) 7048|7098)7148 7448|7498|7548|7598| 7648 7948|7998|8048|8098/81 48 8448|8498|8548|8598)/8648 8948/8998) 9048) G098|91 48 9448|9498|9548|9598| 9648 Diff. Diff. & Mul 9948/9998} ¢048|0098)01 48 0448] 0498) 0548|0598|0648 * 9698)9748!9798 | 9848/9898 939 0198|0248)0298 03480398 0697|0747|0797 1197|1247|1297 1697|1747|1797 2196|2246/2296 2696|2746)2796 3195)3245/3295 3695|3745|3795 4194/4244 4294 0847|0897 1347|1397 1847|1897 2346) 2396 2846|2896 3345|3395 3845) 3894 4344)4394 4693)4743|4793|4843| 4893 0947|0997| 1047|1097/1147 1447|1497|1547|1597|1647 1947| €997| 2046] 2096] 2146 2446) 2496) 2546} 2596)| 2646 2946) 2996) 3045|3095|3145 3445) 3495|3545|3595|3645 39443994) 4044] 4094|4144 4444|4494| 4544) 4593| 4643 4943|4993|5043|5093|5143 5193/5242 5692/5742 6191|6241 6690/6740 7189)}7239 7688/7738 8187/8237 8685|8735 5292|5342|5392 5392|5841|5891 6291|6341|6390 6790|6840/6889 7289)7339|7383 7788|7837|7887 8286|8336|8386 8785|8835|8885 5442|5492 5941/5991 6440/6490 6939|6989 7438)7488 7937|7987 8436)8486 §542|5592|5642 6041/6091|6141 6540|6590\6640 7039|7089|7139 7538|7588)7638 8037|8087/8137 8536|8586|8636 9184|9234|9284|9334|9384 8935|8985|9035|9084|9134 9434|9483|9533| 9583} 9633 * 9683)9733/9783 940 0182/0231|0281 0680|0730|0780 1179|1229|1278 1677|1727|1777 2176|2225|2275 2674|2724|2774 3172/3222|3272 9833|9882 03310381 0830|0880 1328|1378 1827/1877 2325/2375 2823)2873 3322/3372 3670|3720 3770|3820|3870 9932/9982|¢032|0082/0132 04310481 OS A9PS7e 1428/1478 1926|1976 2425|2475 2923/2973 3421|3471 3920/3969 0531|0580|0630 1029|1079|1129 1528|1577|1627 2026) 2076) 2126 2524|2574|2624 3023}3073|3122 3521/3571|3621 4019|4069|4119 4169|4218| 4268) 4318} 4368 4667|4717|4766)48 16) 4866 5165)5215|5264|531 4/5364 5663/5713|5762|581 2/5862 6161/6211|6260|63 10/6360 4418}4468|4517|4567|4617 4916|4966|5015)5065|5115 5414|5464)5513/5563/5613 591 2|5962|601 1/6061 6111 6410|6460|6509|6559|6609 6659|6709|6758 7157|7206|7256 7654|7704|7754 8152/8202|8252 8650/8700 8749 9147}9197|9247 9645)9695|9744 orAajorg2 0242 0640,0690|073g 1137|1187|1237 1635/1684|1734 2132}2182/2931 2629) 2679) 2729 3126)3176/3226 3623) 3673/3723 4120|4170|4220 461 71466714717 ees fae! 2 6808/6858 7306|7356 7804/7853 8301}8351 8799|8849 9297/9346 9794|9844 0292/0341 0789|0839 1286) 1336 1784/1834 2281/2331 2778) 2828 3275/3325 3772|3822 4270/4319 4766\4816 3d 4 6908/6957 7405}7455 7903|7953 7007|7057|7107 7505|7555}7605 8003/8053/8 102 8401|8451|8500|8550|8600 8899/8948 /8998|9048| 9098 939519446} 9496 | 954519595 9894) 9943|9993|+043|0093 0391|0441|0491|0540}05go0 0889]0938}0988| 1038] 1088 1386} 1436}1485)1535)1585 1883} 1933) 1983] 2032/2082 2380) 2430/2480) 2530) 2579 2878) 2927|2977|3027|3077 3375)3425|3474| 3524/3574 387 2|3922|3971|4021|4071 4369| 441914468) 4518/4568 4866] 4916'4965| 501515065 Dy 6 st oa ane Diff. 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Oe HT. re Beas OF NUMBERS. we om) 2a. 29 5363)/5412/5462|5512|5562 5860/5909|5959|6009|6058 6356/6406/6456|/6505/6555 6853)6903|6952|7002/7052 7350|7399'7449|7499|7548 7846|7896|7946|7995|8045 8343}8393/8442|8492/8542 8840/8889 ey 8988)9038 9336/9386) 9435) 9485/9535 9832|9882|9932|9981)4031 0329|0378)0428|0478 0825}0875|0924)0974 1321|1371|1420|1470 1817|1867)1917|1966 2313} 2363/2413|2462/2512 2810|285g| 290g) 2958)3008 3306 3352 3405|3454|3504 3801}3851/3901|3950|4000 4297|4347|4397|4446|4496 4793) 4843) 4892|4942|4991 5289|5339|5388/5438/5487 5984 5834|5884/5933|5983 6280|6330|6379|6429|6479 6776/6825 6895 Goa 6974 7271|7321|7371|7420|7470 7767/78 16|7866) 7916/7965 8262/8312/8361/8411|8461 8758/8807/8857/8906/8956 9253|9303/9352/9402/9451 9748|9798| 9847) 9897/9946 0244/0293|0343}0392|0442 0739|0788|0838}0887/0937 1234) 1283/1333]1382|1432 1729|1778| 1828) 1877/1927 2224} 2273)/2323/2372|2422 2719|2768| 2818 3214|3263/3313 3708) 3758/3807 4203)4253|4302 4698|4747|4797 5192|5242|5291|5341|5390 5687|5737|5786/5835|5885 6182/6231/6280|6330/6379 6676|6726|6775|68 24/6874 7170|7220|7269)7319|7368 7665|7'71 4|7764|7813|7863 8159/8209|8258/8307/8357 8653|8703|8752|8802|8851 91.48)9197|92.46/9296|9345 96.42|9691|9741/9790/9839 0136)0185/0235)0284|/0333 0630|0679|0729|/0778|0827 1124 to 1223|1272/1321 1618} 1667|1716}1766)1815 2112/2161|2210|2260|2309 2605) 2655) 2704/2753) 2803 3099/31 48}3198)3247|3297 3593|3642|3691|3741|3790 4086) 4136) 4185/4234) 4284 4580! 462914679! 472814777 me eee 8. 9 0527 1023 1520 2016 2867|2917 3362/3412 3857|3906 4352|4401 4846| 4896 133 | Diff. & Mult. Diff. 5o 100 150 200 250 300 350 4Ooo 450 ho Cr HDOoW wpb 4 : lo CY AON wDn Diff. | Diff. & Mult. L 1 134 Num. LOGARITHMS OF NUMBERS. 0 1 8800 | 944 4827/4876 OI O2 03 04 * 945 * 947 5320/5370 5814/5863 6307|6356 6800/6850 7294|7343 7787|7836 8280/8329 8773/8822 9266/9315 9759/9808 0252/0301 07450794 1238/1287 1730/1780 2593/3279 2716|2765 3208}3258 3701|3750 41934243 4686) 4735 5178/5227 5671/5720 6163)\6212 6655|6704 7147|7196 7639)7688 8131/8180 8623)8672 9115|}9164 9607|9656 0099|0148 0591/0640 1082|1131 1574| 1623 2066/2115 2557| 2606 3049|3098 3540|3589 4031|4080 4523/4579 5014/5063 5505/5554 5996/6045 6487/6536 6978) 7027 7469|7518 7960/8009 84518500 8942/8991 9433/9482 992319972 0414|0463 09050954 1395|1444 1886) 1935 2376| 2425 2866) 2915 3357|3406 384713896 Ord 2 3 4 4925 4975/5024 5419 5468/5518 5912 640664556504 68996948] 6998 7392 7885/7935 8379|8428|8477 8872 9365 9858)9907|9956 0351|0400|0449 0843|0893}0942 1336/1386) 1435 1829|1878|1928 2371/2420 281 4|2864|2913 3307|3356|3405 3799) 3849) 3898 4292/4341|4390 4784) 4834) 4883 5277|5326|/5375 5769|5818/5867 6261/63 10|6360 93292 6753/6803|/6852 7246|7295|7344 7738|7787|7836 8230|8279|8328 8722|8771|8820 9214|9263)|9312 9705|9755|9804 0197|0246|0296 0689/0738|0787 1181}1230|1279 1672|1721/1771 2164|2213)2262 2655|2705|2754 3147|3196)3245 3638)|3687|3737 4130|4179|4228 4621|4670|4719 5112/5161|5210 5603|5652|5702 6094/61 446193 6586|6635/6684 7077|7126!7175 7568/7617|7666 8058)8108|8157 8549|8598|8647 9040\9089|9138 9531 4022 0512 1003 1493 1984 9580)9629 0071/0120 0561/0610 1052/1 1OL 1542/1591 2033}2082 2474|2523|2572 2965) 301 4)3063 3455) 3504} 3553 3945 3994'4043 Biga v4 5: 96. 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A eo Be 658 JOR. =O Diff. | Diff. & Mult. ‘ 953 2763)2812/2860)2908 2957 | 3005 3054/3102/3150)3199 as 3247 3295 3344 3392 3440 | 3489 3537/3585) 3634/3689 . 3731 3779, 3827/3876 3924 3972 4021/4069! 4117/4166 83 421414262 4311 4359 4407 4456, 4504|4552| 4601| 4649 84 4697 4746 4794 4842| 4891 4939 4987|5036 5084/5132 85 5181 5229, 5297 5326/5374 '5422|5471|5519 5567/5616 86 5664/57125761 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 7597| 7645/7694) 7742177 7838/7887|7935|7983|8032 I 4 , Soko 8128 hee 8225 $393 8321 §35018418 5766 8515 2 98 92 8563/861 1/8660 8708/8756 | 8804/8853)8901|8949|8998 34247 93 9046/9094) 9143/919119239 | 9287/9336)9384'9432/ 9481 4 | 196 94 9529)9577'9625/9674/9722 | 9770!9819)9867/9915)9963 5 | 245 95 | 954 0012/0060)0108|0157/0205 | 0253'0301/0350 0398'0446 6 a 0494/0543 0591|0639/0688 | 0736 0784/0832|088 1 0929 Z 300 97 0977|1025/1074)1122/1170 | 1219 1267/1315)1363)1412 ne 98 1460) 1508/1556]1605/1653 | 1701/1749}1798) 1846 1894 ve ala 99 1943/|1991|2039)2087| 2136 | 2184/2232)2280|2329!2377 Jo 00 2425) 2473) 2522/2570/2618 | 2666/2715/2763! 2811 2859 OI 2908 | 2956 3004)3052/3tor | 3149/3197|3245/ 3294/3342 02 3390) 3438 | 3487|3535/3583 | 3631/3680|3728/3776| 3824 03 3873 3921/3969! 4017/4065 | 4114|4162!4210/4258 4307 04 4355 4403) 4451|4500|4548 | 4596)/4644|4692|4741 4789 05 4837|4885 | 4934) 4982|5030 | 5078/5127|5175|5223)/5297 06 5319/5368 /5416/5464/5512 | 5561 5609/5657|5705/5753 07 5802|5850)5898)/5946|5994 | 6043/6091|6139|6187/6236 08 6284/6332'6380|6428|6477 | 6525'6573/6621 6669/6718 09 6766|6814 6862|6910/6959 | 7007|/7055/7103|/7152|7200 30 10 7248) 7296|7344|7393|7441 | 7489|7537|7585|7634| 7682 II 7730/7778 | 7826) 7874|7923 | 7971|8019|8067/81 15/8164 12 8212|/8260,8308|8356/8405 | 8453/8501 8549|8597|8646 13 8694/9742|8790|8838)/ 8886 | 8935/8983|9031|907g 9127 14 9176 /9224|9272|9320|9368 | 9416)9465/9513/9561|9609 15 9657|9705|9754|9802'9850 98|9946|9995| +043 0091 16 955 0139 BiB 2535 fae 2339 oN aan 0726 0524 0523 17 0621|0669)0717|0765|0813 | 0862/0910/0958) 1006! 1054 18 T102|1150|/1199|1247|1295 | 1343 1391|1439) 1488) 1536 19 1584|1632|1680|1728/1776 | 1825/1873 1921/1969) 2017 30 20 2065)2114/2162/2210/2258 | 2306/2354/2402|2451 2499 21 2547|2595 |2643/2691|2739 | 2788] 2836|2884|2932| 2980 3 22 3028|3076 3125|3173/32aT | 3269/3317|3365 3413 3461 r| 4 23 3510)3558 3606) 3654/3702 | 3750|3798 3846 38953943 3 96 24 3991/4039 4087) 4135/4183 | 4231|4280|4328| 4396\4404 ‘ a a0 4472|4520|4568|4616| 4665 | 4713|4761 4809 4857| 4905 5 | 240 26 4953 5001|5050!5098) 5146 5194|5242|5290 5338/5386 6 | 288 27 5434/5483 5531/5579|5627 | 5675|5723/5771|58195867 7 | 336 28 5916|5964 601 2\6060/6108 | 6156/6204|6252'6300! 6348 8 | 384 29 6397 6445 6493 6541/6589 | 6637/6685|6733 6781/6829 9 | 432 70 30 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 82248272 33 8320/8368 8416 8764 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 36 | * 9762/9810,9858|9906!9 954 | #003|0051\0099|01 47,0195 37 | 956 0243/0291 0339/0387 0785 0483|0531|0579 0627/0675 38 0723/0771 |0819|0868}0 ee 0964) 1012) 1060/1108} 1156 39 1204 1252'130011348'1 1444! 149211540! 1588! 1636 vum, OP. 1. 2 DS 5 a Bee G7 oe8..9 Diff. | Diff. & Mult. 18 Lo 956 * 997 # 958 * LOGARITHMS OF NUMBERS. 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Diff. | Diff. & Mult. lo COI OOK wr - lo COrN AOR wn wa 139 Diff. & Mult. G32 ol 92 961 * 962 # 963 LOGARITHMS OF NUMBERS. OY ae, ae 5 4 8955|Q002|9050)9097|9144 9429|9476|9524|9571|9618 9903|9950|9998) #045)0092 0377|0424|0472|0519/0566 08510898) 0946/0993] 1040 1467/1514 1325|1372|1419 1941|1988 1799/1846|1893 2272/2320} 2367/2414! 2462 2746) 2793} 2841 |2888) 2936 3220/3267|3314|3362|3409 3693/3741|3788}3835|3883 4167|4214|4262|4309|4356 4640| 4688] 4735|4783| 4830 5114/5161/5209|5256/5303 5587|5635/5682|5729/5777 6061|6108/6155|6203/6250 6534|658 1|/6629|/6676|6723 7007|7099|710217149/7197 7481|7528|7575|7622|7670 7954|8001 |8048)8096)81 43 8427|8474|8521/8569|8616 8900|8947|8994|9042|g089 9373|9420|9467|9515|9562 9846|9893| 994019988] +035 0319|0366)0413}0461/0508 0792|0839|0886|0933|0981 1264)1312}1359/1406)1454 1737|1784|1832|1879|1926 2210|2257|2304|2352|2399 2683|2730|2777/2824)2872 3155|3202/3250)3297|3344 BG peed: Bees 1D 9192|9239|9287|9334/9381 9666|9713|9761|9808 | 9855 0140}0187/0235)/0282|0329 061 4|0661|0709|0756|0803 1088/}1135}1183)1230)1277 1562|1609|1656)1704)1751 2035)|2083}2130)2178|2295 2509} 2557) 2604] 2651| 2699 2983|3030|3078|3125)3172 3457)350413551|3599|3646 3930|3978| 4025) 4072/4120 4404|4451|4498| 4546) 4593 4877|4925|4972|5019|5067 5351|5398}5445|5493|5540 5824/5871|5919|5966|6013 6297|6345|6392|6439|6487 6771/68 18|6865|6913|6960 7244|7291|7339|7386|7433 7717|7764| 781 2|7859| 7906 8190}8238}8285/8332|8380 8663/871 1|8758|8805|8853 9136\9184|9231/9278)9326 | 9609|9657|9704| 9751/9799 0082|0130/0177|0224|0271 0555|0602|0650|0697|0744 1028}1075|1123}1170/1217 1501|1548) 1595} 1643] 1690 1974} 2021} 2068/21 15/2163 2446| 2.493) 2541| 2588} 2635 2919|2966| 3013) 3061/3108 3391 |3439}3486| 3533/3580 3628 4100 4573 5045 5517 5990 3675|3722|3769| 3817 4147|4195|4242|4289 4620|4667|4714|4762 5092|5139|5187|5234 5565|5612|5659/5706 6037|6084/6131/6179 3864}3911}3958 4336} 4384) 4431 4809) 4856) 4G03 5281|5328/5376 5753)/5801|5848 6226/6273/6320 4006) 4053 4478) 4525 4951|4998 5423|5470 5895/5942 6367/6415 * 964 6462|6509|6556|6604/6651 6934698 1|7028|7076|71 23 7406|7453)7501|7548|7595 7878|7925|7973|8020|8067 8350/8398/8445|8492/8539 88 22|8869|8917/8964|g011 9294|9341|9389/9436|9483 9766|981 3|9860)9908|9955 0238/0285|0332|0379|0427 0710|0757|0804)0851 0898 1181/1229] 1276|1323|1370 1653}1700}1747|1795|1842 2125)/2172|/2219)2266)2313 2596 2643/2691|2738)]2785 3068/3115|3162|3209|3256 3539)3586| 3634) 3681/3728 4o11|4058!4105|4152 4199 4482\4529|4576| 4623) 4671 4953/5001 |5048) 5095/5142 5425)/5472/5519/5566)5613 5896)5943/5990/6037|6084 6367 6414/6461 6508/6555 6838 6885)|6932'697917027 On. 1 28 4 -6698|6745|6792|6840|6887 7170|7217|7265/731 2|7359 7642|7689|7737|7784)/7831 8114/8161|8209/8256|8303 8586|8634/8681|8728/8775 9058}9105|9153/9200/9247 9530/9577|9625| 967219719 #002/0049|0096/01 44/0191 0474)}0521|0568|0615 0663 0946|0993| 1040) 1087/1134 1417|1464]1512)155g9| 1606 1889|1936/1983)2030/2078 2361/2408|2455 2502) 2549 2832) 2879|2926|2974 3021 3304)3351|3398|3445 3492 3775|3822)3869| 3916 | 3964 4246|4294|4341|4388| 4435 4718} 4765) 481 2| 4859 4906 5189/5236) 5283)/5330/5378 5660|5707|5755|5802|5849 6131|6179|6226|6273 6320 6603 6650|6697|6744 6791 7074171 211716817215|/7262 BG i eae Diff. | Diff. & Mult, Diff. 96 144 240 288 336 384 432 le CI OAR wD & O OI MOANW wd 4 iw) Qo On EF aS AGRE ah 48 | 192° Diff. & Mult. f Num. 9220 [964 7309|7356|7403)7451|7498 2) 22 * 965 * LOGARITHMS OF NUMBERS. Ge & 2.3. +4 7780)7827|7874| 792217969 8251|8298/8345|8392|8440 8722/8769|58 16|8863/8910 9193|9240|9287|9334|9381 9664/9711|9758|9805| 9852 0135)0182}0229'0276|0323 0605) 065 2}0699|0746/0793 1076|1123}1170|1217)1264 1546|1594)1641}1688}1735 2017|2064|2111/2158/2205 2488) 2535|2582| 2629/2676 2958}3005|3052| 3099/3146 3428) 3475|3522)3569/3617 3899| 3946) 3993| 4040/4087 4369)|4416) 4463} 4510|4557 4839) 4886) 4933] 4980|5027 5309|5356|5403|5450|5497 5780/5827|5874/5921|5968 6250/6297/6344|6391|6438 6720/6767|68 1 4/6861 |6908 7190|7237|7284|7331|7378 7660/7707|7754)|7801|7848 8130|8177|8224/8270/8317 8599|8646/8693|8740|8787 9069) 91 16}9163) 9210/9257 9539] 9586) 9633) 9680/9727 0009|0056]0103)01 4g|0196 0478|0525}0572|0619|0666 0948}0995)1042)1089/1136 1417/1464/1511/1558}1605 1887|1934| 1981/2028) 2075 2356| 2403) 2450|2497|2544 2826) 2873/2919|2966/3013 3295|3342)3389|3436/3483 3764) 381 1}3858)}3905|3952 4233] 4280] 4327|4374|4421 BO T.8;%-9 7545|7592|7639/ 7686/7733 8016/8063/81 10 8157)8204 8487|8534/858 1 |8628 8675 8958/9005) 9052! 9099/9146 9428)9475|9523)9570|9617 9899)|9946| 9993) +040\0087 0370|0417;0464,051 1;0558 0841/0888}0935 098 2| 1029 1311|1358|1405|1452|1499 1782/1829) 1876) 1923)1970 2.252|2299|2346| 2393] 2440 2723}2770)2817/2864)2911 3193|3240|3287|3334| 3381 3664|371 1/3758) 3805|3852 4134|4181|4228 4604) 4651|4698 5074|5121|5168 4275|4322 4745|4792 5215)5262 5686/5733 5545|5592|5639 6015|6062|6109/6156|6203 6485|6532|6579|6626|6673 6955|7002|7049| 7096/7143 7425|7472|7519| 7566/7613 7895|7942|7989|8036|8083 8364)841 1/8458) 8505/8552 8834|8881|8928)8975 go22 9304|935119398)/9445|9492 9774|9821 |9868| 991 5|9962 0243|0290}0337\0384/0431 0713/0760/0807)|0854)ogot 1183)1230|1276|1323/1370 1652/1699/1746 2122/2168)2215 2591| 2638} 2685 3060|3107/3154 3530|3577|3623 3999/4046) 4093 1793|1840 2262/2309 2732/2779 3201/3248 3670/3717 4140|4187 4703)4750|4796 5172|5219/5266 5641|5688)5735 6110/6157/6204 6579|6626|6673 7048|7095|7142 7517|7564|7610 7985|8032|8079 8454/8501/8548 8923|8970/9017 9392|9438|9485 9860|9907|9954 967 0329|0376|0423 0797|0844)0891 4843|4890 5312|5359 5782/5828 6251|6297 6720/6766 7188/7235 7657|7704 8126/8173 8595|8642 9064|91 10 9532|9579 4001/0048 0469}0516 0938)}0985 4468) 4515|4562) 4609) 4656 4937|4984|503 1|5078|5125 5406/5453|5500|5547|5594 5875) 5922!5969|6016/6063 6344|6391|6438)6485|6532 6813|6860|6907/6954|7001 7282|7329|7376|7423/7470 7751|7798|7845| 7892/7939 §220/8267|831 4)8360|8407 eee 9197 9626 0095 0563 1032 8735|8782 9204|9251 9673/9720 ot41\0188 0610/0657 1078|1125 8829/8876 9298/9345 9767)\9813 0235}0282 0704|0750 1172/1219 1266) 1313/1359] 1406/1453 1734|1781|1828/1875| 1922 2203) 2249/2296) 2343|2390 2671/2718|2765| 2811/2858 3139] 3186) 3233|3280|3326 3607|3654|3701|3748|3795 4076) 41 22}4169|4216|4263 4544) 4590| 4637| 4684) 4731 5012!505915105|5152/5199 DA 1 22 anes 1500|1547|1594| 1641/1687 1968/2015) 2062]2109|2156 2437| 2484) 2530)2577|2624 2905] 2952|2999|3046| 3092 3373)3420|3467)351 4/3561 3841|3888|3935|3982|4029 4310|4356}4403| 4450|4497 4778}4825| 4871/4918) 4965 5246/5293\5339| 538615433 eG yiog Hi 8 9 Diff. 47 Diff. lo Cr AOD wh le CON OOK whe 4 14] Diff. & Mult. | 46 92 138 184 230 276 322 368 414 Diff. & Mult. eu @ FT 142 LOGARITHMS OF NUMBERS. | Num. D tk ge) 43 A 5 6 7 8 9 | Dift | Dift & mae} 9280 | 967 5480)/5527|5573|5620|5667 | 5714|5761|5807|/5854)5go1 we 81 5948|5995|6041|6088|6135 | 6182)/6228/6275/6322/6369 y 82 6416/6462|6509|6556|6603 | 6650/6696|6743)/6790|6837 | 83 6884|6930/6977|7024)7071 | 7117|7164/7211|7258}7305 84 735117398|7445|7492|7538 | 7585|7632|7679|7726|7772 85 7819)7866/7913)7959|8006 | 8053)8100/8146/8193/8240 \ 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 | * 9690\9736/9783|9830|9877 | 9923\9970|4017|0064/01 10 : 92.90 | 968 0157\02040251\0297|0344 | 0391}0438)0484/0531/0578 1 | 47ay 9I 0625}0671/0718}0765)0812 | 0858)0905}0952|0999|1045 2| 648 I 92 1092|}1139)1185|1232|1279 | 1326)1372]1419|1466)1513 3 | 1417) 93 1559] 1606) 1653|1700|1746 | 1793|/1840|1886)1933]1980 4| 188 | 94 2027|2073}2120]2167/2214 | 2260|2307|2354|2400|2447 5 | 235 ; 95 2494) 2541|2587|2634|2681 | 2728)/2774|2821|2868)2914 6 aa 96 2961|3008/3055|3101|3148 | 3195|3241|3288)}3335)3382 Z 3 2 97 3428|3475|3522|3568|3615 | 3662|3709]3755|3802|3849 433 it 98 3895|3942|3989|4036|4082 | 4129|4176|422214269|4316 Beh ‘| 99 4362|4409|4456|4503|4549 | 4596|4643|4689| 4736) 4783 . g3 90 4829|4876|4923|4970|/5016 | 5063/5110|/5156|5203|5250 ra oI 5296|5343/5390)5437|5483 | 5530/5577/5623/5670/5717 02 5763/5810 5857|5903|5950 | 5997\6043/60g90|6137|6184 03 6230/6277|6324/6370|6417 | 6464|6510|6557|6604|6650 04 6697|6744|6790|6837|6884 | 6930|6977|7024)7070|7117 05 7164]7210|7257|7304|7350 | 7397|7444|7490|7537|7584 06 7630| 7677|7724|7770|7817 | 7864)7910|7957|8004|8050 07 8097/8144|8190|8237|/8284 | 8330/8377/8424|8470|8517 08 8564|8610/8657|8704|8750 | 8797|/8844|8890|8937|8984 09 9030|9077/9124|9170|9217 | 9264)9310/9357|9404|9450 93 10 9497|9943|9590|9637|9683 | 9730|9777|9823|9870/9917 : II | * g963)#010/0057\0103)0150 | 0196/0243/0290|0336/0383 | 12 | 969 0430|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 1935 1782 15 1829/1875) 1922/1968|2015 | 2062)2108/2155)2202|2248 16 2.295|2341|2388)2435|2481 | 2528)2574/2621)2668/2714 | 17 2761|2808] 2854} 2901|2947 | 2994|3041|3087|3134|3180 18 3227/3274|3320|3367/3413 | 3460|3507/3553|3600|3647 19 3693|3740|3786|3833/3880 | 3926)3973/4019|4066|4113 93 20 4159/4206) 4252|4299|4346 | 4392|4439)4485|4532|4578 my oI 4625|4672|4718|4765|4811 | 4858)4905}4951|4998|5044 3 46 22 5o0gt/5138|/5184/5231|5277 | 5324/5371/5417/5464|5510 : 5 | 23 5557|5603/5650/5697/5743 | 57g90|5836|/5883/5929/5976 3.) 136 al 24 6023|/6069/6116|/6162|6209 | 6256|6302/6349|/6395/6442 4 | 184 ‘| 25 6488|6535|6582/6628|6675 | 6721/6768)68 14/6861 |6908 5 | 230 26 6954|7001|7047|7094)7140 | 7187|7234)/7280|7327|7373 6 | 276 | 27 * 7420|7466|7513)7559|7606 | 7653}7699/774617792|7839 7 | 3229 28 7885|7932|7978|8025|8072 | 8118/8165/8211 $338 8304 8 | 368 29 8351|8397|8444|8491|8537 | 8584|8630|8677|8723|8770 9 | 414 93 30 8816/8863|8910|8956|9003 049|9096/91 42|9189|9235 31 9282/9328 975 Wee (68 oa1e oer 9608 2654 9701 | 32 | * 9747/9794)9840|9887\9933 | 9980|¢027|0073/01 20\0166 | 33 | 970 0213/0259|0306|0352|0399 | 0445,0492|0538|0585|0631 | 34 0678|0724)0771/0818|0864 | og11|0957|1004| 1050/1097 35 1143|1190|1236|1283|1329 | 1376)1422/1469)1515/1562 36 1608) 1655)1701|1748|\1794 | 1841|1888)1934|1981|2027 a7 2074) 21 20)2167|2213)2260 | 2306/2353|2399| 2446) 2492 38 2539} 2585/2632|2678)2725 | 2771/2818]2864/2911 se 39 3004!3050|3097'3143!3190 | 3236'3283/332913376|3422 Num 0 1 4 of. 6 vk eee as Diff. | Diff. & Mult. 9340 I N un. LOGARITHMS OF NUMBERS, rea 23 5 4 970 3469)3515|3562|3608/3655 97% * . ee 3980|4027|4073|4120 4 29 4445) 4492|4538| 4585 4863) 4910! 4956/5003 5049 5328)}5375)5421|5468/5514 a3 5840|5886|5932|5979 6258|/6304/6351|6397|6444 6722|6769|68 15|6862|6908 7187/7233)|7280|7326}7373 765 2|7698'7745|7791|7837 8116/8163)/8209/8255)/8302 858 1|8627|8673|8720|/8766 9045/9091|9138/9184|9231 9509|9556|9602|9649/9695 9974| #020|0067/0113/0159 0438/0484|}0531|0577|0624 0902}0949/0995|1041|1088 1366] 1413/1 459|1506| 1552 1830] 1877|1923/1970|2016 2294|2341}2387|2434) 2480 2758) 2805] 2851] 2898/2944 3222|3269/3315|3362/3408 3686|3733/3779|3826|3872 4150|4197|4243|4289|4336 461 4|4660|4707|4753|4800 5078/5124/5171/5217|5263 5542|5588|/5634| 5681/5727 6005|6052/6098/61 44/6191 6469|6515|6562/6608|6654 6932|6979|7025|7071|7118 7396|7442|7489|7535|7581 7859|7906|7952|7998/8045 8323/8369 /8415/8462/8508 8786/8833 /8879|8925|8972 9249|9296|9342)9388|9435 9713)9759|9805|9852/9898 972 0176/0222/0269/0315|0361 * 0639) 0685)0732|0778}0824 1102|1149)1195|}1241|1288 1565) 1612|1658}1704|1751 2028} 2075|2121|2167|2214 2491}2538)]2584) 2630] 2677 2994/3001 |3047|3093/3139 3417|3463|3510|3556| 3602 3880/3926) 3973|4019|4065 4343) 4389|4435/4482| 4528 4805} 4852|4898| 4944/4991 5268/5314|5361|5407|/5453 5731|5777|5823|5870/5916 6193/6240|6286/6332|6378 6656|6702|6748|6795|6841 7118}7165/7211 ie 7303 7581|7627|7673|7720|7766 8043|8089|81 36/8 18 2/8228 8506|8552|8598|8644 8690 8968/901 4|9060\9107/9153 9430|9476|9523)9569|9615 9892|9938/9985|+031|0077 973 0354|0401|0447 se 0539 0816'0863!0g09!0955! 1001 On) $2353 Na ay Cah 2 8-09 3701|3748|3794|3841|3887 4166) 4213|4259| 4306) 4352 4631|4678|4724|4771|4817 5096}5142/5189/5235)5282 5561|5607/5654/5700/5747 6025/6072/6118/6165/6211 6490/6537/6583 6629/6676 6985 7001|7048}7094|7141 7419|7466)7512/7559}7605 7884|7930|7977|8023/8070 8348|8395|8441/8488)8534 8813|8859/8906)895 2/8999 9277|9324|9370/9416|9463 9742|9788|9834|988 1/9927 0206/0252|0299/0345|03g1 0670|0716}0763/0809|0856 1134/1181|1227|1273|1320 1598}1645|1691|1738/1784 2062|2109/2155| 2202/2248 2526/2573] 2619|2666) 2712 7 3037|3083)/3130|3176 3454}3501|3547|3594|3640 3918}3965)|401 1|4057|4104 4382|4429|4475|4521|4568 4846) 4892|4939/4985|5031 5310}5356|5402|5449|5495 5773/58 20/5866] 591 2/5959 6237/6283/6330|6376/6422 6701|6747|6793|6840|6886 7164)7211|7257|7303/7350 7628|7674)7720|7767/7813 8091 |8137|8184/8230\8276 8554|8601|8647|8694/8740 9018)9064)9111/9157/9203 948 1/9527|9574 9620/9666 9944/9991 |+037|0083)0130 0408|0454|0500|0547|0593 0871|091'7|0963) 1010] 1056 1334|1380}1426/1473|1519 1797| 1843] 1889}1936) 1982 2.260) 2306) 2352/2399) 2445 2723) 2769] 2815} 2862|2908 3186}3232/3278|3325|3371 3649)3695)3741)3787|3834 4111|4158)4204|4250) 4296 4574) 4620) 4667/4713'4759 5037|5083}5129/5176|/5222 5500|5546|5592|5638/5685 5962/6008|6055|6101|6147 6425/6471|6517|6563/6610 6887|6933|6980)7026)7072 7350|7396|7442|7488)7535 781 2|7858|7905)7951|7997 8274|8321|8367|8413/8459 8737|8783|8829|8875 8922 9199/9245|9291|9338)9384 9661/9707|9754|9800|9846 0123/0170/0216/0262|0308 0585|0632|0678|0724)0770 1048] 1094/1140! 1186/1232 DR Tie ot OS a) Diff. Diff. lo COn HAOw wb + ke COW OOw wr 143 Diff. & Mult. 46 92 138 184 B30 ~* 276 322 368 414 Diff. & Mult. 144 Num. (era: SRAM CEE > A. ob a7 eee” VS Diff. | Diff. & Mult, 9400 | 973 1279\1325|1371\1417\1463 | 1510|1556)/1602\1648)|1694 | ol 1741|1787|1833)1879]1925 | 1972|2018]/2064/2110|2156 02 2202|2249|2295/ 2341/2387 | 2433/2480]2526)2572/2618 03 2664] 2711/2757) 2803/2849 | 2895|2941|2988]3034|3080 o4 3126)3172/3219/3265|3311 | 3357|3403)3449|3496|3542 05 3588 | 3634|3680/3727|3773 | 3819)/3865]391 £|3957/4004 06 4050) 4096|4142|4188|4234 | 4281|4327|4373|4419|4465 07 451114558} 4604| 4650| 4696 | 4742|4788|4835|4881 ene 08 4973)5019|5065/5112)5158 | 5204}5250/5296|/5342|5389 09 5435|5481|5527/5573|561g | 5665/5712|5758/5804/5850 94 10 5896|5942|5989|6035|6081 | 6127/6173/6219/6265|6312 1 | 47 II 6358]/6404|6450|6496|6542 | 6588|/6635/6681|6727/6773 2 94 12 6819/6865|6911/6958}7004 | 7050|7096/7142/7188/7234 3 |] 141 13 728117327|7373|7419|7465 | 7511|7557|7604|7650|7696 4 | 188 14 7742\7788|7834|7880|7926 | 7973|8019)8065/81 11/8197 5 } Soe 15 8203)8249|8295|8342/8388 | 8434]848018526|8572|8618 oa 16 8664|8711/8757|8803/8849 | 8895/8941|8987/9033|g080 3 2 } 17 9126/9172/9218'9264\9310 | 9356/940219449|9495|9541 433 18 | * 9587/9633!9679 9725,9771 | 9817/9864/9910/9956| +002 Reis 19 | 974 0048)0094|0140|0186|0232 | 0279!0325]037110417/0463 94 20 0509|0555|0601'0647|0693 | 0740|0786|0832/0878)0924 21 0970/1016) 1062)1108|1154 | 1201/1247 ee 1339}1385 . 22 1431|1477|1523|/1569/1615 | 1661|1708}1754}1800]1846 23 1892|1938|1984|2030|2076 | 21422)2168/2215}2261/2307 24 2353]2399|2445|2491|2537 | 2583]2629|2675]2721|2768 25 2814] 2860/2906) 2952/2998 | 3044|30g0|3136]3182|3228 26 3274|3320|3367)3413)3459 | 3505)3551}3597)3643)3689 27 3735/378 1 |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 94 30 5117/5163/5209 5255/5301 | 5347/5393/5439|5485|5531 g 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|6590,6636/6683 | 6729/6775|6821/6867\6913 34 6959|7005|7051|7097/7143 | 7189}7235}7281|7327|7373 35 7419|7465|751 1/7557|/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!9398!9444 | 9490|9536]9582/9628/9674 94 40 | *_ 9720|9766/9812)9858|9904 |. 9950/9996}+042|0088|0134 4 41 | 979 0180/0226/0272/0318/0364 | 0410|0456}0502!0548|0594 | 46 11 £6 8 2 0640|0686 0732'0778)/0824 | 0870]0916}0962| 1008/1054 i 43 I100/1146|1192/1238/1284 | 1330/1376)1422|1468)1514 3 208 44 1960) 1606/1652) 1698/1744 | 1790|1836)1882|1928)1974 y 184 45 2020|2066)2112/2158/2204 | 2250|2296/2341/2387/2433 5 | 230 46 2479)2525|2571|2617|2663 | 2709 pis 2801/2847|2893 6 | 276 47 2939} 2985|3031/3077/3123 | 3169|3215|3261/3307|3353 7 | 322 48 3399/3445|3491|3537|3583 | 362913675/3721/3767|3813 8 | 368 49 3858] 3904) 3950, 3996/4042 | 4088]4134|4180!4226/4272 9 | 414 94 50 4318|4364|4410'4456'4502 | 4548|4594|4640|4686|4732 [ SI 4778|4824| 4870 4915|4961 | 5007/5053|5099/5145/5191 . 52 5237|5283/5329 5375/5421 | 5467/5513 5559/5605 5651 | 53 5697/5743)/5788 5834/5880 | 5926|5972\6018 6064/6110 | 54 _ 6156/6202/6248,6294/6340 | 6386/6432/6478)/6523 6569 55 6615/6661 |6707,'6753/6799 | 6845|6891|6937)/6983|7029 56 7075|7121|7166,721 2/7258 | 7304/7350|7396|744217488 is 57 7534|7580| 7626 7672/7718 | 7763}7809 7355 7901/7947 ab 58 7993 mal 8085/8131|8177 | 8223/8269/8315|8360\8406 59 8452!1849818544'8590!18636 | 868218728|8774/8820!8865 Num. One 2. Be 63) 4 5 § 28. ae Dif. | Diff. & Mult LOGARITHMS OF NUMBERS. LOGARITHMS OF NUMBERS. 145 ‘Nam. Oe ol E243 4 59 6 7 8 9 | vi | Dime Mutt. | (9460 | 975 8911|8957,9003\9049' 9095 141|9187,9233\927919325 Me 61 ie of I 6'9462 3508 abd ee $646 0692 orb loy8.4 62 | * 08299875 9921|9967|¢013 0059/0105,0151/0197|0243 63 | 976 0288 0334 0380 0426;0472 0518 0564/0610 0656 0701 64 0747/0793 0839/0885,0931 | 0977/1023 10069)1114/1160 65 1206/1252)1298]/1344/1390 | 1436)1481/1527|1573 1619 66 1665/1711/1757|1803|1849 | 1894 1940/1986) 2032/2078 67 2124/2170!2216/2261}2307 2383 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 3729/3775) 3821|3867/3913 I 46 71 3958! 4004) 4050 say 4142 | 4188/4233 4279|4325|4371 2 2 72 4417|4463| 4509|4554| 4600 | 4646|4692|4738| 4784) 4830 3 | 138 73 4875) 4921) 4967/5013|5059 | 5105|5150/5196|5242|5288 4 | 184 74 5334|5380)5425|5471/5517 | 5563 5609|/5655|5701|5746 5:1 930 75| _ 5792/5838|5884/5930|5976 | 6021/6067/6113'6159|6205 oper 76 6251|6296/6342/6388/6434 | 6480 6525657 1/6617/6663 Z 368 77 6709|6755/6800/6846|6892 6938/6984/7d30/7075/7121 vy 78 7167|7213/7259|7305|7350 | 7396|7442|7488!7534 7579 BER. 79 7625) 7671/7717/7763|7808 | 7854 7900/7946!7992|8038 94 80 8083/81 29/8175/8221/8267 | 8319/8358 8404/8450|8496 ns) §541|8587/8633|8679|8725 | 877018816,8862 8908!8954 82 9000|9045/9091/9137/9183 | 92.29|927419320/9366|9412 83 9498'9503|9549|9595|9541 | 9686|9732 9778/9824|9870 84} * 9915/9951|#007/0053|0099 | o144 0190/0236,0282/0328 85 | 977 0373)0419|0465|0511/0556 | o602 0648 '0694/0740|0785 86 0831]0877/0923 0969) 1014 | 1o60;1106/1152 1197/1243 87 1289/1335)1381}1426/1472 | 1518/1564 1609/1655|1701 88 1747|793|1838|1884)1930 | 1976]2021|2067|21 13/2159 89 2204} 2250/2295}2342/2388 | 2433 2479/2525) 2571/2616 94 90 2662) 2708] 2754| 2799} 2845 2891|2937/2982| 3028/3074 gI 3120/3165]3211|3257/3303 3349|3394|3440|3486|3532 92 3577|3623|3669|3715|3760 | 3806/3852 3898)}3943/3989 93 4035) 408 1|4126/4172/4218 | 4264 4309|4355|4401|4447 | 94 4492) 4538) 4584/4630] 4675 | 4721/4767|4812/4858 4904 95 4950} 4995)5041)5087]5133 | 5178/5224/5270/5316)/5361 95 9407|5453}5499|5544|5590 | 5636/5681'5727 5773/5819 97 5864)/5910|5955|6002/6047 | 6093 6139)6184/6230|6276 6322/6367/6413 6459/6505 | 6550/659616642|6687/6733 99 6779|5825|6870|6916|6962 | 7007/7053 7099|7145|7190 95 00 7236)7262|7327/737317419 | 7465|7510/7556\7602/7647 OI 7693/7730] 7785| 7830/7876 | 7929 7967|/8013)\8059/8105 q 45 02 8150}81.96/8242/8287/8333 | 8379/8424 8470|8516/8562 ‘ " 03 8607/8653|8699/8744 8790 | 8836|/8881|8927 8973 go1g 3 45 | 04 9064)91 10/9196}9201/9247 | 9293/9338'9384 943019476 4 \ 180 1. 405 952119567|9613/9658!9704 | 9750/9795}9841/9387|9932 5h 25 06 | * 9978l¢024]0069|0115/0161 | 0207/0252 0293;0344/0389 6 | 270 07 | 978 0435|0481\052610572/0618 | 0663 0709,0755 0800]0846 6 ad he | 08 0892|0937|0933} 1029/1074 | 1120/1166/1911 1257/1303 8 | 360 09 13481394] 1440}1485} 1531 1577|1622|1668)1714|1760 9 405 _ 35 10 1805/1851) 1897|1942/1938 | 2033 2079.21 25, 2170/2216 } 11 2262|2307| 2353} 2399] 2444 2490 2536|2581|2607 2673 . 12 2718/9764|2810|9855 99Q0L | 2947|2992)3038 3084/3129 13 3175|3221|3266/331/3358 3403|3449 3495 3540|3586 14 3631|3677|3723|3768|3814 | 3860 seg 3997/4042 15 4088|4134|4179|4225|4270 | 4316 4362 4407 4453|4499 16 4544) 4590) 4636) 468 1|4727 4773|4818 4864 4999|4955 17 5001 |5046|5092|5138/5183 | 522915974 5320 5366 SAT 18 9457|5503}5548)5594)5640. | 5685/5731/5776, 5822/5868 19 591315959!6005!6050 6096 | 614116187 6233:6278'6324 Num. Ones T°: 02% Gn ee 5 6 7 8 9 J Dit. | Dif. & Mult. \p 19 M LOGARITHMS OF NUMBERS. Ott 2 3. 978 6369)6415)6461|6506)/6552 6826/6871 |6917/6962|7008 7282/7327|7373|7419)7464 7738|7783} 7829 875 7920 8194|8239|8285|8331/8376 8650/8695/874 1|8787|/8832 9106)915119197|9243|9288 9562|9607|9653| 9698/9744 979 0017|0063/0109/0154)0200 0473)0519|0564)0610|0656 0929|0975|1020|1066/ 1111 1385|1430 1840/1886 2296|2341 2751|2797 3207/3253 3662/3708 41184163 4573|4619 5028/5074 5484)5529 5939}5984 6394/6440 6849|6395 730417350 7799|7805 8214/8260 8659/8715 9124|9170 997919524 1476} 1521|1567 1931|1977}2023 2387|2433)2478 2843} 2888) 2934 3298}3344) 3389 3754|3799|3845 4209/4254 4300 4664)4710]4755 5120/5165|5211 5575/5620) 5666 6030/6076/61 21 6485|653116576 6940|6986}703 1 7395|7441|7486 7850478967941 8305835 1|8396 8760|8806/8351r 9215}9261|9306 9670/9715|9761 980 0034}0079|01 25/01 70/0216 981 0488)0534 0943/0989 1398|1443 1852/1898 2307}2352 2761) 2807 3216/3261 3670/3716 4125|4170 4579/4624 5033|5079 5487|5533 5942/5987 6396/6441 6850/6895 7304}7349 7758}7803 8212/8257 8666/8711 gr1gig165 9573/9519 0027/0072 0481|0526 0579|0625}0670 1034|1080|1125 1489}1534}1580 1943} 1939] 2034 2398|2443|2489 2852|2898] 2943 3307|3352)|3398 3761 |3807|385 2 4215|4261|4306 4670|4715|4761 5£24)5169)5215 5578)5624|5669 6§032|6078/6123 6486/6532|6577 6941|6986}703 1 7395|7440}7485 7849}7894|7939 8302|8348/8393 8756|8802|8847 9210/9256|9301 9664/9709/9755 0118/0163)0208 0571|061 7/0662 ee 8 ee BBs ee 6643|6689/6734/6750 7094 7299 7145/7191|7236 7510|7595|7601|7647/ 7692 7906/8011/8057/8103/8148 8422/8467|8513/8559 8604 8878/8923 5999 9015|9060 9334|9379|9423|9470/9516 9790|9833}988 1/9926) 9972 0245|0291|0337/0382|0428 0701|0747|0792/0838| 0883 1157|1209/1248|1294|1339 1613|1658}1704|1749|1795 2068) 2114/2159)2205|2250 2524/|2569| 2615/2660! 2706 2979|3025|3070|3116)3161 3435|3480|3526|357 13617 3890|3936/398 1/4027] 4072 4346|4391|4437|4482| 4528 4801 |4846|4892|4937|4983 5256|5302|5347|5393/5438 5711/5757|5802|5848) 5893 6167/6212|6258/6303|6349 6622|6667/6713/6758)6804 7077/71 22|7168)7213)7259 7532|7577|7623|7668|7714 7987|8032/8078)/81 23/8169 8442|8487|8533|8578| 8624 8897/8942|8988/9033) 9079 9352|9397|9442|9488)}9533 9806|9852/9897/9943|9988 0261/0307|0352|0398]0443 0716}0761|0807|0852|0898 1170/1216)1261/1307|1352 1625)1671/1716)1761\1807 2080|2125|/2171|2216)2261 2534|2580|2625/2671|2716 2989|3034}3080|3 125|3170 3443)3489)|3534)3579|3625 3897) 3943}3988)| 4034] 4079 435214397|4443|4488| 4533 4806) 485 1|4897/4942/4988 5260/5306|/5351|5397|5442 5714|5760}5805|585 1/5896 6169|6214|6259|6305/6350 6623/6668 /6714/6759|6804 7077|7122|7168/7213/7258 753117576|7622 7985|8030/8075 8439/8484/8529 8892/8938|8983 9346|9392|9437 9300|9345|9891 0254|0299|0344 7667|7712 8121/8166 8575/8620 902919074 9482/9528 9936|9982 0390\0435 0934|0980/ 1025) 1070/1116 1388} 1433|1479|1524| 1569 1841/1887] 1932] 1977/2023 2295|2340! 2386} 2431) 2476 2748|2794) 2839) 2884] 2930 3202/3247132921333813383 Oye 2 Gs | ot 0707|0753|0798|0844|0889 1161)1206)1252|1297|1342 1615|1660/1705|1751/1796 2068) 2113)2159)2204]2250 2522)2567|261 2/2658/2703 2975|3020}3066)3111|3156 3428134741351913564|3610 Sy 657 aS HeD Diff. & Mult, | __ Dif | c 463 92 138 184 230 322 368 414 lo CO~A AOR wh O OWN ANWR wpn bo ~J o 405 ‘ | | Diff. & Mult. ee x Diff. LOGARITHMS OF NUMBERS. Num. 0 1 me ¥ 4 9580 | 981 3655)3700)3746)379 1/3836 81 4108| 4154/4199! 4244) 4290 82 4562| 4607| 4652) 4698/4743 83 5015/5060|5106/5151/5196 84 5468/5513)5559) 5604/5649 85 5921|5966)601 2|6057|/6102 86 6374/6420/6465)65 10/6555 87 6827/6873/6918/6963}7008 88 7280|7326|7371/7416|7461 89 7733|7778|7824|7869|7914 95 90 8186/8231/8277/8322/8367 gi 8639|8684|8729|8775|/8820 92 999219137/9182|9228|9273 93 9544|9590|9535| 9680/9726 94 | * 9997\¢042|0088]0133/0178 95 | 982 0450|0495|0540|0586|0631 96 0992/0948|0993) 1038} 1083 97 1355| 1400] 1445 1491/1536 98 1807} 1853/1898}1943/1988 99 2260} 2305/2350] 2396|2441 96 00 2.71 2}2758) 2803) 2848} 2893 Or 3165)/3210}3255)3300| 3346 02 3617/3662|3707/375313798 03 4069/41 15|4160|4205|4250 04 4522/4567! 4612!4657|4702 05 4974|5019/5064)5109/5155 06 5426}5471|5516|5561|5607 07 5878/5923/5968|601 4|6059 08 6330|6375|6420|6466/6511 09 6782|6827/6872|6918/6963 96 10 7234|7279|7324|7369|7415 Il 7686/7731|7776| 7821/7867 12 8138/8 183)/8228/8273/8318 13 8589|8635|8680/8725|8770 14 9041|9085/9132|9177|9222 15 9493/9538) 9583) 9628) 9674 16] * 9945/9990|4035/0080|01 25 17 | 983 0395}0441|0486|0532|0577 18 0848|0893|0938}0983) 1028 19 1299|1344!1390|1435|1480 96 20 1751/1796] 1841/1886) 1931 pyat 2202|2247/2292|2338| 2383 22 2654/2699] 2744] 2789/2834 23 3105|3150/3195|3240|3285 24 3556) 3601/3646] 3692/3737 25 4007) 4053) 4098/41 43/4188 26 44594504] 4549| 4594) 4639 27 4910|4955)5000/5045)|5090 98 5361|5406}5451|5496)5541 29 981 2/5857|5g02|5947|5992 96 30 6263/6308)6353/5398/6443 31 6714|6759|6804|6849 6894 32 7165|7210|725517300)7345 33 7616) 7661|7706|7751 7796 34 8066/81 11/8157|8202/8247 35 8517|8562|8607|8652 8697 36 8963) 9013} 9058|9103|91 48 37 941.9|9464|9599)9554\9599 38 | * 9869/9914)/9959|¢004|0049 39 | 984 032010365!041010455|0500 Num. gle URRY Siok ae * & 6% 7 3882| 3927/3972 4335 4380) 4426 4788 4834/4879) 5241 9287/5333) 5695|5740|5785, 6148\6193/6238 6601/6646 6691 7054|7099|7144 7507|7992|7597 7960|8005|8050 8412/8458|8503 8865)891 1/8956 9318 93639409 977198169861 0223|0269)0314 0676|0721|0767 IT2g/1174|1219g) 1581|1626|1672 2034|2079|2124 2486|2531|2577 2939) 2984/3029 3391|3436/3481 3843|3888| 3934 4295|4341|4386 4748|4793|4838 5200/5245|5290 5652|5697|5742 6104/6149/6194 6556/6601 /6646 7008} 7053/7098 7460|7505|7550 7912|7957|8002 8364|8409|8454 8815|8860)8906 9267/9312|9357 9719|9754)9809 0170|0216|0261 0622/0667/0712 1073] 1119} 1164 1525}1570|1615 1976| 2022/2067 2.428)2473}2518 2879) 2924/2969 3331/3376)3421 378 2|3827/3872 4233) 4278|4323 4684|4729|4774 §135)5180}5225) 5586) 5631/5677 6037|608 2/61 26 6488|6533)6579 6939/6984) 7029 739017435) 7480 7841|7886|7931 §292|8337|8382 8743|8788/8833) 9193\9238|9283, 9644|9589|9734 0095\o1 4ojo185. 0545!10590!0635 &. 6 2.7 Sy 4471|4516 4924/4970 (537715423 5831/5876 6284/6329 6737/6782 7190|7235 7643|7688 8095/8141 8548/8594 9001|9046 9494)9499 999719992 0359|0405 0812/0857 1264)1310 1717|1762 2169}2215 2622| 2667 3074/3119 352713572 3979/4024 4431|4476 48834928 5335/5385 5787/5833 6240/6285 6692/6737 7143'7189 7595|7641 8047/8092 8499|8544 8951/8996 9403/9448 9854/9899 0306/0351 0757|0803 1209|1254 1660) 1706 2112/2157 2563/2608 3015/3060 3466)3511 3917/3962 4368) 4413 4819) 4865 5271/5316 572215767 6173/6218 6624/6659 7075/7120 7525'!97571 7976 8021 8427|8472 8878 8923 93289374 9779)9824 023010275 0680'0725 8.49 Dif. 4018| 4063 Dif. lo Cw Amb wh w 147 Diff. & Mult. 46 92 138 184 230 276 322 368 414 45 fe) I 3. 180 225 270 315 360 405 OO CO~ AND Wh w» Diff. & Mult. 148 Nun. LOGARITHMS OF NUMBERS. OP ah: ee P84 9640 | 984 0770 0815/0860]0905|0951 4I 1221/1266/1311|1356}14o1 42 1671/1716)1761| 1806) 1851 43 2122/9167/2212/2257|2302 44 2572|2617|2662|2707/2752 4D 3022)3067|3112/3157|3202 46 3473) 3518) 3563|3608)3653 47 3923/3968) 4013| 4058} 4103 48 4373|44 18|4463)4508]4553 49 4823| 4868) 4913}4958)5003 95 50 5273/5318) 5363)/5408/5453 51 5723/5768) 5813)5858|5903 5 6173/6218|6263/6308|6353 53 Ob esiiogsiar i? 6758/6803 54 7073\7118/7163|7208/7253 7D 7523/7568) 7613|7658|7703 56 7973/8018}8063/8107|8152 57 8422|8467|85 1 2|8557|8602 58 8872/8917|8962|9007/9052 59 9322|9367/9412|9457|9502 9660} ¥* 9771\9816)9861!9906/9951 61 | 985 0221/0266)/0311/0356jo401 62 0670]0715|0760|0805}0850 63 1120|1165|1210|1255|1300 64 1569/1614) 1659) 1704|1749 65 2019] 2064/2108} 2153}2198 66 2468) 2513/2558] 2603} 2648 67 2917|2952|3007|3052!3097 68 3366) 341 1|3456]3501|3546 69 38 16|3861}3905}3950]3995 96 70 4265|4310|4355|4399|4444 71 471414759} 4804) 4849] 4893 7g 5163|5208/5253)5298|5342 73 561 2|5657|5702|5747|5791 74 6061/6106/6151/6196|/6240 a3 6510|6555|6600|6644|6689 76 6959|7003}7048| 7093/7138 77 7407|7452|7497|7542|7587 78 7856|7901 |7946}7991 |8036 79 §305/8350/8395/8440|8484 96 80 8754|8798/8843 8888/8933 81 9202|9247|9292|9337|9382 82 | * 9551\9696/9740\9785/9830 83 | 986 0099/01 44)0189|0234|0279 84 0548}0593|0637|068 2/0727 85 0996] 1041/1086) 1131]1176 86 1445|1489/1534) 1579|1624 87 1893] 1938} 1983) 2027|2072 88 2341/2386) 2431|2476)2521 89 2790] 2834] 2879) 2924] 2969 96 90 3238] 3283)/3327|/337213417 91 3686) 373 1|3776)3820|3865 92 4134|4179|4224' 4268/4313 93 458 214627|4672|4717|4761 94 5030|5075/5120,5165|5209 95 5478|5523/5568/5613|5657 96 5926/5971 |6016 6050/6105 97 6374|6419|6464/6508/6553 98 6822/6867|6911/6956|7001 99 7270'731417359'740417449 0 Lee 3.44 ae i Ss 0996) 1041/1086) 1131/1176 1446} 1491|1536) 1581 1626 1896] 1942|1987|2032/2077 2347|2392|2437|2482|2527 2797| 2842/2687] 2932/2977 3247|3292/3338}3383)/3428 3698|3743|3788|3833/3878 4148|4193|4238|4283|4328 4598|4643| 4688) 4733) 4778 5048|5093|/5138/5183/5228 5498|5543)5588|5633)5678 5948|5993|6038|6083)61 28 6398|6443|6488|6533|6578 6848|6893|6938|6983|7028 7298|7343|7388}7433|7478 7748|7793|7838)7883|7928 8197|8242|8287/8332|8377 8647/8692|8737|878 2/8827 9097|9142|9187/9232/9277 9546|9591|9636|968 1|9726 9996|+041}0086|0131j0176 0446]0491}0535|0580|0625 0895}0940}0985| 1030} 1075 1345|1389)1434|1479 1524 1794|1839) 1884) 1929 1974 2243/2288] 2333) 2378) 2423 2693|2737/2782) 2827/2872 3142|3187|3232|3277|3321 3591/3636] 3681 |3726/3771 4040|4085|4130|4175)4220 4489|4534|4579| 4624|4669 4938|4983}5028/5073/5118 5387|543215477|5522|5567 5836) 588 1|5926)5971|6016 6285/6330/6375|6420)/6465 6734|6779|6824|6869 6914 7183|7228|7273/7318|7363 7632|7677|/7722|7766|7811 8081|8125|8170|82 15/8260 8529/8574|8619|8664/8709 8978}9023|9068|911 2/9157 9426)|9471/9516|9561|9606 9875|9920|9965|¢010}0054 0324|0368/0413)0458|0503 0772/0817|0862|0907|0951 1220]1265|1310}1355}1400 1669]1714|1758}1803|1848 2117|2162|2207|2252|2296 2565) 2610] 2655/2700] 2745 3014|3058/3103)31 48} 3193 3462/3507|3551|3596/3641 3910|3955|4000) 4044) 4089 4358|4403| 4448) 4493|4537 4806) 4851|4896|4941|4985 §254|5299}5344|5389|5433 5702/5747/5792|5836)5881 6150/6195/6240/6284)6329 6598|6643|6687/673 2/6777 7046|7090|7135|7180|7225 74931753817583\762817673 5 6. io7, Sa aa i 4 Ais, |) Diff. 45 le OMIM OR wh 180 225 270 360 lo COA Ooh wn 4o5 45 35 315% v8 r | Diff. | Diff. & Mult, Diff. & Mult, Num. 700 {986 7717/7762 LOGARITHMS OF NUMBERS. Meer: pale | 7807)789217890 8165/8210/8255 82998344 8613|/8657/8702 8747/8792 9060/9105 9150 919519239 9508/9553/9597 | 9642|9687 0134 0 1 955)#000,0045 0090 987 0403 0448|0492 0537\0582 0850|0895 0940/0985] 1029 1298)1342|1387/1432)1477 1745|1790|1834] 1879! 1924 2192|2237|2282) 2326) 2371 2640) 2684] 2729] 2774) 2818 3087|3131/3176)3221|}3266 3534|3579)3623)3668/3713 3981/4026) 4070) 4115) 4160 4428) 4473|4517|4562|4607 4875|4920|4964|5009|5054 5322/5367|5411}5456/5501 5769/58 14|5858)5903)5948 62 eee 6305/6350|6395 6663)|6707/6752/6797|6841 7109|7154|7199}7243|7288 7556|7601}7646}7690]7735 8003/8048}8092/8 1 37/8182 8450|8494|8539|8583/8628 8896)/8941|8985/9030|9075 9343|9387|9432|9477/9521 * 978919834 9878} 9923/9968 988 0236 414 0280|0325)0370)041 068 2|0727/0771|0816|0861 1128)1173}1218)1262/1307 1575|1619| 1664/1709) 1753 2021/2066) 21 10}2155| 2200 2467)\251 2|2556| 2601 | 2646 2913/2958/3003]3047| 3092 3360|3404|3449|3493|3538 3806}3850)3895)3939|3984 425214296) 4341 | 4386/4430 4698|4742|4787)| 483 1|4876 5144|5188)5233/5277/5322 §590|5634}5679|5723/5768 6035)/6080)|6 1 25/6 1696214 6481|6526/6570|66 1 5|6660 6927|6972|7016|7061/7105 7373|7417|7462|7506|7551 7818|7863)7908|7952!7997 8264/8309 8353/8398|/8442 8710|8754|8799|8843)8888 9155|9200/9244|9289)9333 * 9601)9045/9690/973419779 989 0046/0091)0135)0180 0224 0492|0536)0581 062510670 0937\0981| 1026] 1071} 1115 1382|1427|1471|1516|1560 1828)1872|1917|1961/ 2006 slp 2362|2406|2451 2718|2762|2807/2851|28 3163) 3208)3252|3297|3341 3608 | 3653! 3697|3742|3786 4053| 4098141 421418714231 Sa ARR? ers 5 Ge" 7 7941/7986 8389/8434 8837/8881 6926 9284 9329 9374 9732197769821 0179 0224/0269 8478 8.39 8523/8568 8971/9016 94189463 9866|9911 0313,0358 0627/0671|0716 1074/1119) 1163 1521|1566|1611 1969/2013) 2058 2416|2461)2505 2863) 2908) 2953 3310!3355|3400 3757|3802|3847 4205) 4249 4294 4652|4696| 4741 0761/0806 1208/1253 1656/1700 2103/2148 2550|2595 2997|3042 3444|3489 3892/3936 4339|4383 4786|4830 §233|5297 Diff. 8031(8076)8120° 5099|5143)5188 5545!5590/5635,/5680,5724 5992|6037|6082|61 26/6171 6439 6484)6529,6573,6618 6886\6931 6975|7020|7065 7333|7377|7422|7467|7511 7780|7824|7869|7914|7958 8226/8271|8316|8360/8405 8673)/8717|8762/8807|8851 9119,9164|9209|9253/9298 9566)961 119655!970019745 #012/0057/0102/0146/0191 045910503 0548)0593|/0637 0905)}0950|0994) 1039) 1084 1352] 1396)1441/1485)1530 1'798| 1842|1887!1932)1976 2244) 228g} 2333|2378| 2423 2690) 2735/2780) 2824] 2869 3136/3181 sr hah 3315 3583) 3627|3672!3716|/3761 4029|4073|4118}4162|4207 4475) 4519|4564) 4609/4653 4921|4965|5010;5054|5099 536771541 1|5456/550015545 581 3|5857|5902|5946/5991 6258/6303)6348|6392|6437 6704/6749 6793/6838 6882 7150|7194|7239|7284|7328 7596|7640|7685|7729|7774 8041|8086)8130'8175/8220 8487/8531 |8576)8621)8665 8932/8977|9022)9066/9I 11 9378|9423!9467|951 2/9556 oan 9913/9957|¢002 0269 0313)0358|0402/0447 0714|0759)0803'0848 0892 1160/1204) 1249] 1293) 1338 1605] 1649] 1694] 1738/1783 2050) 2095} 2139) 2184| 2228 2495| 2540) 2584/2629 2673 2940} 2985) 3030\3074|3119 3386|3430|3475)3519'3564 383 1|3875|3920|3954| 4009 4276) 4320|4365!4409'4454 Be Oak eS. &D DS Dif. uu * 149 Dit. & Mult. SO COI AAR wh S) io Qn 405 | | OO OI MYL Wb Le} D +N Diff. & Mult. | 150 LOGARITHMS OF NUMBERS. Num. OV 1D G2 e383 6 4 59 6 7 8 9Q | Dift | Dim & Mul | 9769 [989 4498 4543 4587\ 4632\4676 4721/4769)4810 4854|4899 BY 61 4943 4988 5032 5077/5121 | 5166)5210|5255 5299/5344 aa Gad. 538815433,5477/552115566 | 561015655/5699 5744/5788 63 5833 5877|5922,5966/601r | 6055 61006144 618916233 64 6278/6322,6367,641116456 | 6500 6545! ice 6634/6678 65 672216767/6811/6856|6g00 | 6945/6989 7034 7078/7123 f 66 7167/721217256,7301|7345 | 7390|/7434]7478 7523/7567 7 761 2)7656,7701|7745|7790 | 7834 7879129 7923 7968/8012 } 68 8057/8 1041/8145 8190/8234 | 8279/8323 8368 8412/8457 1 69 8501/8546,8590,8634|8679 | 87238768 a 8901 ; 97 70 8946 8990/9035 9079|9123 | 9168|9212)9257 9301/9346 1 {| 40m) 71 9390 943919479 9523/9568 | 9612/9657\9701 9746/9790 2 72 | * 9835 987919923) 9968|#012 | 0057|o101/0146 o190)0235 3} 1350) 73 | 990 0279|0323}0368)0412|0457 | 0501|0546 0590: 0634]0679 4 | 180 } 74 0723/0768|0812}0857|0go1 | 0946)0990 ere 1123 5 | 225 75 1168}1212}1257|1301|1345 | 1390|1434)1479 1523}1568 6 3.5 76, 1612)1656/1701/1745/1790 | 1834)1878)1923 1967|2012 3 360 77 2056/2101)2145)2189]2234 | 2278)2323 2367 2411/2456 405 78 2500|2545| 2589] 2634/2678 | 2722/2767|2811/2856)2900 94 Seal 79 2944) 2989|3033)3078|3122 | 3167|3211 Koala 3344 97 80 33893433) 3477|3522)3566 | 361113655 3699 374413788 | Neo roe 3833)3877|3921|3966|4o10 | 4055|4099|4143 4188)4232 ‘y 82 4277|4321|4365|4410|4454 | 4499/4543 4587) 4632| 4676 83 4721)4765|4809|4854|4898 | 4942|4987|5031 507615120 84 5164)5209/5253/5298/5342 | 5386/5431 ia i 5564 85 5608)5553|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) 7073/7117 | 7161/7206)7250,7295|7339 89 7383|7428)747217516/7561 | 7605|7649 7694,7738 7783 97 90 7827/7871|7916|7960|8004 | 8049|8093/8137,8182/8226 y 91 8271|8315}8359|8404|8448 | 8492)8537|858 1|8625|8670 92 8714)8758/8803|/8847/8891 | 8936)8980,9025 9069/9113 93 9158/9202/9246)9291|9335 | 937919424)9468)951 2/9557 94 | * 9601|/9645\9690/9734/9778 9823/9867 991 1|9956| #000 95 | 991 0044 0089/0133 0177/0222 | 0266/0310/0355/0399|0443 96 0488|0532}0576|0621/0665 | 0709,0754}0798|0842|0887 97 0931/0975) 1020|1064|1108 | 1153/1197|1241|1286)1330 98 1374)1419 1463) 1507 1552 | 1596)1640|1685|1729|1773 99 1818) 1862|)1906) 1951/1995 | 2039)2083)2128/2172)2216 ; 98 00 2261/2305) 2349|2394|2438 | 2482)2527|/2571/2615|2660 “A Or 2704} 2748|2793| 2837/2881 | 2925}2970\3014|3058}3103 02 3147/3191 3236128013324 | 336913413/3457|3501/3546 I nt i 03 3590|3634|3679|3723/3767 | 3812)3856,3900)3944)3989 3 35 o4 4033) 4077|4122)416614210 | 4255|4299|4343|4387/4432 y 176 | 05 4476 4520 4565|4609|4653 | 4697 ee 4830)4875 5 |} 220 | 06 4919 49 63/5007}5052|5096 | 5140 5185/5229 5293/5317 6 | 264 - 07 536315408 5450}5495)5539 | 5583)5627;5672/5716)5760 7 | 308 08 5805 5849 5893/5937/5982 | 6026 6070) 6115/6159|/6203 8 | 352 09 6247 6292 6336/6380/6424 | 6469/6513 6557|6602\6646 9 | 396 — 95 10 6699 6734/6779,6823/6867 | 6911|6956,7000)7044|7088 | II 7133,7177|7221|7266|7310 | 7354)7393)/7443)7487|7531 | A ALS 7979, 7620/7664]7708|7752 | 7797|7841|7885|7929|7974 | 13 8018 8062/8107/8151/8195 | 8239,8284 8328/8379|8416 14 en i 8549|8593|8638 | 8682)8726,8770)8815|8859 15 8903 8947|8992|9036|g080:| 9124/9169 9213]/9257\9301 16 9345, ‘oboe 9434}9478)\9522 | 9567 Sone 9655 SBob ey 17] * 9783 9832 9376/9921 ei #009,0053,0098}01 42/0186 18 | 992 0230! 0275|0319|0363|0407 | 0451/0495 0540|0584]0628 19 0673:07171076110805!0850 | 0894'0938/0982!1026! 1071 Num Oe bo eS. (4 5.6 37 8 3D & Dim, | Dit, & Mull. "| | 0 992 1115 1557 1999 2044) 2088 LOGARITHMS OF NUMBERS. L. Sx 1159 1203) 1601/1646 * 993 * 2441|2486|2530 3.4 1248/1292 1690|1734 2132)2176 2574|2618 GS Gre he, 8 EO 1336|1380| 1424) 1469/1513 1778) 1822)1867\ 1911/1955 2.220)2265|2309) 2353/2397 2662)2707/2751 2795} 2839 2884) 2928) 2972|3016|3060 3326) 3370}341 4/3458)}3502 3768}38 1 2|3856) 3900] 3944 4210)4254'4298|4342|4386 465 1|4696'4740|4784|4828 5093|5138)/5182/5226)5270 5535/5579 Sad OSBI Sa 5977/6021 6065/6 109!6154 6419/6463 6507/6551|65 5 6860/6905 6949 6993/7037 7302|7346|7390)7435|7479 7744|7788|7832|7876|7920 8185/8229 8274/8318)/8362 8627/8671 |8715/8759|8803 9068)/9112/9156)9201/9245 9510}955419598|9642|9586 9951/9995|#039/0083 0128 0392|0436)048 1}0525/0569 0834)0878 0922/0966) 1010 1275|1319}1363}1407|1451 1716|1760) 1804} 1848} 1893 2157|2201/2245|2290|2334 2598) 2642|2687/2731/2775 3039|308313128/3172|3216 3480|3524|3569|3613|3657 3921/3955) 4010/4054 4098 4362| 4406) 4450|4495|4539 4803) 4847| 4891|4935|4980 3105|3149)3193)3237|3281 3547 yee 3635) 3679)3723 3989) 4033)4077|4121|4165 4431|4475|4519|4563| 4607 4872) 4917|4961|5605|5049 5314|5358|5403 9447\5491 9756)5800 5844/5889}5933 6198|6242|/6286/6330/6375 6640|6684|6728/6772|6816 7081/71 25/7170/7214|7258 7523|7567|761 1/7655) 7699 7964|8009|8053/8097|8 141 8406|8450|8494/8538|8583 8847|8892/8936|8980\9024 9289!9333|9377|9421 1/9465 9730|9774|98 19|9863|9907 0172|0216|0260|0304|0348 0613)0657|0701|/0745|0789 1054) 1098] 1142/1187|1231 1495|1540| 1584] 1628) 1672 1937|1981|2025) 2069) 2113 2378} 2422/2466) 2510)2554 2819|2863] 2907] 2951]2995 3260|3304|3348}3392|3436 3701|3745|3789| 3833) 3877 4142 4186 4230|4274|4318 4583) 462714671/4715|4759 5024'5068/51 12/5156|5200 5244 5288/5332 5376)}5420 5685/5729 5773 6126|6170,6214 6566/66 10/6654 7007/7059 1/7095 7448)7492)\7536 7888/7932)\7976 8329)8373|8417 5817/5861 6258/6302 6698/6743 7139|7183 7580/7624 8020/8064 84618505 8769)/8813|8857/8901|8945 9210}9254/9298|9342|9386 9650) 9694 9738) 9782/9826 994 0090,0134 0178/0222/0266 0531|0575)0619 0971|1015) 1059} 1103}1147 I4II 14551499 1543|1587 1851 1895 1939] 1983 2027 2291/2335, 2379) 2423) 2467 2731/2775 2820) 2864] 2908 3172)3216 3260/3304/3348 3612 3656 3700 3744|3788 4051 4095 4139 4183)4227 4491/4535 4579| 4623|4667 4931 Bia i ae 5107 5371|5415 54595503 5547 5811/5855 9899/5943 5987 6251|6295 6338;6382|6426 66906734 oT eee 6866 7130'7174 7218}726217306 Oy 1 o2) KS 4 0663)0707 5464/5509}5553 5905|5949|5993| 6346)6390|6434 6787/6831/6875 722717271/7315 7668/771 217756 8108)8152|8197 8549|8593/8637 §989|9033|9077 943019474/9518 9870/9914/9958 0310|0355}0399 0751\0795|0839 11g91|1235}1279 1631|1675|1719 2071/21 15}2159 2511/2555}2599) 2952|2996|3040 3392|3436)3480 3831}3875 3919, 4271 43154359 471147554799 5151 Peek 5591|5635,5679 603160756119 6470/6514,6558 6910/6954 6998 7350:7394 7438 Se, 6, MY 5597/5641 6037\6082 6478\6522 6919/6963 7359|7404 7800/7844 8241/8285 8681/8725 912219166 9562/9606 #002/0046 0443}0487 0883!0927 1323] 1367 1763|1807 /2203|2947 2643/2687 3084/3128 3524|3568 3953/4007 (4403 4447 4843| 4887 5283/5327 5723/5767 6163/6207 6602'6646 7042|7086 748217525 9 Diff. ie SN Diff. lo COn AOh wr lo COA OOK we e 151 Diff. & Mult. 44 88 132 176 220 264 308 352 396 43 86 129 172 215 258 301 344 387 Diff. & Mult. 152 Nun. 0 LOGARITHMS OF NUMBERS. Lm | 9880 (994 7509 7613/7657 8009 8448 8888 9327 * 9707 995 0206 0645 1085 1524) 1963 2402 2841 3280 3719 4158 4597 5036! 5474 5913 6352) 6791 7229 7668 8106 8545 8983 9422 * 9860 996 0298 0737 1175 1613 2051 2489) 2927 3365 3803 4241 4579 AYI7 5554|5598|5642 5992 6430; 6868 8053/8097, 8492'8536 8932)8976 9371/9415 9811 9855) 02500294 0689/0733 1128}1172 1568) 1612 2007/2051 opslenze 330413568 3763} 3807 7 420214246 464114685 5080)9123 5518)5562! pas 6396/5440, 6834'6878 F29IRMISEY 7712/7799 8150|/8194 8589/8632 9027|907 I 9405 9509) 990419948 0342/0386 0780!0824 1219/1262 1657/1701 2095) 2139 2533|2577 2971/3015 3409/3453 3847|3891 4285|4329 4723/4766 5161|5204 6036 6080 64746517 691116955 * 997 7305)7349 7743,7786 81808924 8618 8661 709 9299 94929536,9580 9930 .9974, 0367 O4TI 0804 0848 oie oie 1679 1722 2116 2160 2553 2597 7393 7830 8268) 8705 9143 eor7| 0455, 0892 1329 1766 2203 2640 3077] 2990 3034 3427 3471 Od 3514 3d 3. 4 2701/7749 814118185 8580 8624 9020 ‘9064 9459 9503 8 42 {0338 0382 0777 0821 12161260 1656 1699 2095)2139 0534|2578 92973 3017 3412/3456 3851/3895 4290\4334 47294772 5167|5211 56065650 6045 6089 648416597 6922|6966 7361|7405 7799|7843 8238/8282 8676/8720 9115|9159 9953}9597 9991|#035 0430)0474 0868|o91 2 1306] 1350 1744|1788 2182}2226 2621/2664 3059/3102 3497|3540 3935|3978 4372|4416 4810|4854 5248/5292 5686/5730 \16124|6167 6561/6605 6999/7043 '7436|7480 7874|\7918 8311/8355 8749/8793 9186/9230 9624|9667 0061/0105 0498|0542 0936|0979 1373|1416 1810/1854 2247/2291 2684|2728 3121/3165 355813602 3.4 5 BT 7789 7833|7877 $229 8273/8317, 8668 9108 9547 9986, 0426 0865.0 1304 1743 2182 2622 3061 3500 3939 4377 4816 5255 5694 6133 6571 7O1O 7449 7887 8326 8764 9202 9941 0079 0517 0956 1394 1832! 2270 2708 3146 3584 4022 4460 4898 5336 a772 6211 6649 7086 8712/8756. 9152 Hoax +030)0074 0470) 0514 8 9 7921/7905 8361|8405 8800/8844 9239 9283 967919723 0118/0162 0557/|0601 09090953 o997|r041 48} 1392 1787|1831 aire 310413448 3543|3587 3982|4026 4421|4465 4860] 4904 5299)5343 5738/5782 is ee 6615/6659 7054/7098 7492|7536 7931|7979 8369|8413 8808/8852 9246\9290 9685/9728 0123|0167 0561 |0605 0999|1043 1438)1481 1876) 1920 2314)2358 2752)2796 3190|3234 3628) 3672 4066|4110 4504|4548 494214985 5379/5423 5817/5861 6255/6299 6693,6736 7130)7174 1436|1480 1875}1919 2314/2358 09|2753/2797 3192/3236 3631/3675 4070|4114 4509|4553 4948 4992 5387/5431 5825/5869 6264/6308 6703|6747 7142/7185 7580)7624 8019/8062 8457/8501 8896|8939 9334|9378 9772|9816 0211/0254 0649|0693 1131 1569 1963) 2007 2402|2445 2840/2883 3278/3321 3716/3759 415314197 4591 |4635 5029/5073 5467| 5511 5905|5948 6342/6386 §780|6824 7218/7261 1087 1525 7524)7568 7061/8005, 8399/8443 8836/8880 9274/9318 97119755; 01 48)0192 0586/0629 1023/1067 146011504 podi6A 2334|2378 en 3208/3252) 3645 3689 7611 8049 8486, 8924, 9405 9361 9799 0236 0673 1985 2422 2859 ITlO. 1548; 7655 8093 8530) 8968 9842 0280! 0761 O717 1154 1591 2028 2465 2 903| 7699 8136 8574 goll 9449 9886 0323 1198 1635 2072 |2509 2946 3296 3340 3383 3733 3776 3820 2, Oa cee Diff. & Mult. Diff. & Mult O OIA Wd Oo OY AOWwrns LOGARITHMS OF NUMBERS. 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253 7228 0067 fo) 757 4545|3000"! 240 2416) 753 7654 328-0 agate. 60%) t 52 4 007 757 4616 3 9 942 5384 ie }o} 761 1194 ‘9 3634.3 238 8806] 761 1266 12.239 2463)7. 564 7610 3634. 4 Ra: ee 10 ioboon3 Sed fe Se Sa ; 073 | 9.9999927140/ —___ co-sin. diff, 1" sec Kee co-tang. | diff. 1'’ tang. co-sec -SeC. sin. go sin. 120'|7.764 75371- 796 1617 799 5153 802 8432 2''7.806 1458 809 4235). 812 6766 815 9055)4° 819 1106}- | dim 1” 908 2866): LOGARITHMIC SINES, I 2 co-sec. tang. 2.235 2463|7.764 7610 231 6423 228 0678 224 5226 221 Oo61 217 5178 =68 3654 704 29? 379 0018 785 gos 112,014 0573}7.- a ey '3379.7 3353.6 327. 9 3646 3277.7 3253.1 7-910 8793 ‘2 913 4567 556 916 o189 -7|2547. 918 5660) 553)" 921 0983 923 6159 ” 7-926 1190}, 928 6077 ; 931 0823 933 5428|5 935 9895), 938 4224 30'17.940 8419 co-sin. 190° diff, Tat 200 4847 210 6242 GI 207 2180 bi ae 203 8383} 796 1702 197 1568 12.193 854217.806 1547 rT 1851 351 190 5765} 809 4325 187 3234] 812 6858 184 0945, 815 91 48): 180 8894] 819 1201). 177 7078] 822 3018 174 5493}7. ee 4604): res 4136} 828 5962): 168 3004 165 2094 162 1402 159 seaaby 150 puis 147 Ne 144 1671 141 2426 .138 3377}7.861 6738 135 4521 132 5855 129 7377 126 9084 124 0975] 87591 147; .121 3047|7.878 5077|7 118 5297] 881 4829 115.7723] 884 2404 113 0323] 886 9806 110 3095} 889 7036 107 6037] 892 4o .104 9146]7.895 0988 diff. 1’ 3604.2 3594.6 3545.3 6.7 3488.4 3460.6 813 (33.3 799 3240|/ 29.0" 802 8590)..55-- 3135.8 913036°5 3005.6 2757. % 2740.2 27230 2706.0 2 102 2420] 8977715 099 5859} 900 4279 096 9458] 903 0681 094 3217] 905 6923/7 ogi 7134] 908 3008 ‘ 12.089 1207}7.910 8938 086 5433 083 9811 081 4340 078 9017 076 3841 913 4713 = 12.073 8810}7.926 1344 071 3923} 928 6233 068 9177] 931 0981 066 4572] 933 5588 064 0105 12.059 1581}7.940 8584|~ sec. co-tang, 936 0057 : 061 5776) 938 4388 |, TANGENTS, co-tang. | i ee Sa de 231 6328 228 o602 224 5149 220 9982 217 3098 .214 0492 210 6149 207 2096 203 8298 200 4760 197 1480 ..193 8453 190 5675 187 3142 184 0852 180 8799 177 6982 .174 5396 171 4038 168 2904 165 1993 162 1299 159 0821 .156 0556 153 0500 150 0650 147 1004 144 1560 141 2313 .138 3262 135 4404 132 5737 129 7257 126 8963 124 0853 121 2923 * 718 5171 115 7596 113 0194 110 2904 107 5904 .104 9012 102 2285 099 5721 096 g2k9 094 3077 Ogl 6992 lra. 089 1062 086 5287 083 9664 o81 4tgI 078 8866 076 3688 9 12.073 8656 dif, ' 071 3767 068 gor 066 qaie 063 9943 o61 5612 |12.059 1416 tang. &c. sec, 10.0000073 007 0076 0077 0078 0080 10.000008 I 0082 0084 0085 0086 0088 10.0000089 10.0000097 0099 O100 O10I O103 O04 10.0000106 0107 O109 O110 Or12 o113 10,00001 15 o116 ors OLIg O21 0123 10.00001 24 0126 0127 0129 O13SI O132 10.0000134 0136 0137 o139 Or4l O142 10.00001 44 0146 0145 oO149 o15t 0153 10.0000155 0156 0158 o160 o162 o164 10. cote bad nce co-sec, yey tk 9-999992 7140) 9925] Be co-sin. ie} eval 9: 9999070 4 9874) 9873) 4 al Lore) | 9866} 1 9-999980Cim 9864 5 LOGARITHMIC SINES, TANGENTS, &c. 161 o° 179° sin. diff. m co-sec, tang. diff.1'’| — co-tang. sec. co-sin. 30" 40 841 12. se 158117.940 8584 12.059 1416)10.0000165 | 9g, 83513015 1 7 043 5 460 ©! 056-7521] 943 2646 se a 056 7354 0167 4 7772833 Bo} 20} 945 6406} R hat ee 3594| 945 6575 ape D 054 3425 0169 9831 40} 130} 948 0203)° 342 6 051 9797] 948 0374 moe @! 051 9626 O171 9829} 30} 4o iso 3869/3353, 049 6131] 950 4042 ae vet 049 5958 0173 9827} 205 5o} 952 7408 DBL. 047 2592) 952 7582 past 047 2418 0175 9825! rol 317.955 je 3398 6 12.044 918117.955 0996 3398, 912-044 9004} 10.0000177 | 9.9999823)29/| ‘10 997 4103/5316 .4| 0429895) 957 4264 at ae 042 5716 0178 98221 5of 20} 959 7267 5303. 040 2733] 959 7447 andes 040 2553 0180 9820} 4of 30} 962 0306 i fe, 37 9694) 962 0488/77 oo | «037 9512 0182 9818} 30f fol 964 3223 nt 71 935 6777| 964 3408 res es 035 6592 o184 9816} 20} 50} 986 6020)°°77°2) 033 oa 66 6206|°°72""| 033 3794 0186 98141 10} 32!17.958 Ae SESE 12.031 1302]7.968 8886|” 9956. 3/1 2-O3E 1114] 10.00001 88 | 9.999981 2128) Io} 971 1258 aah A 028 8742} 971 1449 aAAS 028 8551 o1g0 9810] 50 20} 973 3702 eB 026 6298} 973 3894)° 09330 026 6106 O192 9808} 4o} 30} 975 6030| 994 024 3970} 975 6224|? 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072 9850|"7 074 7614 .923 5003}8.076 5306 921 7386 919 9539 918 2363 916 4958 078 2926 080 0475 081 7953 083 5361 085 2700 088 7172 090 4305 092 1372 093 8371 gti 3155 909 6024 907 8960 906 1963 904 5032 gor 1368 899 4633 897 7962 896 1355 894 4812 098 8975 100 5712 102 2386 11.892 8331]8.107 2025 891 G12] 108 8446 889 5555 887 9260 886 3026 884 6852 112 1104 113 7341 115 3518 883 0738)8.116 9634 881 4683 879 8688 878 2752 876 6873 875 1053 118 5691 120 1689 121 7629 124 9333 11.873 5290}8.126 5099 871 9584 870 3935 868 8342 867 2804 865 7322 128 0807 131 2056 864 1896]8.135 8510}; 862 6523 861 1205 859 5941 856 0730 856 5573 137 3886 853 5415 852 0414 850 5466 849 0568 847 5721 146 5011 148 9015 11.846 0925 8. 153 9516 844 6179 843 1483 841 6837 840 2240 838 ian, sec. co-tang. 069 4102 i O71 2012], 783.8 095 5305)" .902 8168]8.097 2172 110 4806 ; Los S57 OL: 129 6460|_; 144 9956), 1798.5 1.0 Betis 4 1505.5 1500.4 1479.9 1474.9 | aiff, 134 TANGENTS, co-tang. 11.934 1943|10.0000294 932 3883 0296 930 5898 0299 928 7988 0301 927 0150 0304 925 2386 0306 11.923 4694]10.0000309 921 7074 O31 919 9525 0314 918 2047 0316 916 4639 0319 914 7300 0322 11.913 0030]10.0000324 gi 2828 0327 909 5695 0329 907 8628 0332 906 1629 0334 904 4695 0337 11.902 7828}10.0000340 gor 1025 0342 899 4288 0345 897 7614 0348 896 1005 0350 894 4458 0353 11.892 7975]10.0000356 891 1554 0358 889 5194 0361 887 8896 0364 886 2659 0367 884 6482 0369 11.883 0366]10.0000372 881 4309 0375 879 8311 0378 878 2371 0380 876 6490 0383 875 0667 0386 11.873 4901]10.0000389 871 9193 0392 870 3540 0394 868 7944 0397 867 2404 0400 865 6919 0403 11.864 1490]10.0000406 862 6114 0409 &61 0793 0412 859 5526 0415 858 0313 O417 856 5152 0420 11.855 0044|10.0000423 853 4980 0426 851 9985 0429 850 5033 0432 849 0133 0435 847 5283 0438 9569] 1} 11.846 0484]10.0000441 | 9.9999559}1] 844 5735 0444 9556] 5) 843 1036 0447 9553] 4)” 841 6387 0450 |- 9550} 3 840 1787 0453 9547] 2) 838 7235 0456 9544) 1 |11.837 2733 10.0000459 | 9.9999541 1 tang. | &c. sec. eel t co-sec, sin. LOGARITHMIC SINES, NE ee re es ea ee a sin. diff. t'' co-sec, tang. ditk. HY 50! 8. 162 6808 11.837 3192|8.162 7267 10} 164 1259 — 835 8741] 1641722 ae. 20} 165 5663 435.6 834 4337] 165 6128) 735" | 30} 167 co#9 1430.8 832 9981] 167 0487 a3. 4o} 168 432 Tob. > 831 5673] 168 4799 #4565 50 169 8589) 751 5 830 1411] 169 9064 457.8 518.171 2804 Aree 11.828 7196)8.171 3282 rA19.1 10} 172 6972 Ay Sam 827 3028] 172 7453 a ay 20] 174 1094 549, 825 8906) 174 1579 1407.9 30} 1755171 1403, 824 4829] 175 5658 Hae 40] 1769202 1398.6 823 0798} 176 9693 1398.9 50] 178 3188 13 bi 821 6812] 178 3682 1394.4 52''8.179 7129 38 "g| 11-820 2871)8.179 7626) | 32 fo} 181 1025 a 818 8975} 181 1525 13828 » 20) 182 4877 380.8 817 5123] 182 5381 1381.1 30} 1838685] 376°} 816 1315] 183 g192| 378 fo} 185 2450 ee. 814 7550] 185 2959 1349.4 50] 186 6170 36 ‘3| 813 3830] 186 6683] 7520") 53//8.187 9848 363.4 11.812 0152/8.188 0364 1363.8 fro} 189 3482 135 810 6518} 189 4002 +35 5 20] 190 7074 a 809 2926} 190 7597 138 3 30} 192.0624) 375 807 9376] 192 1150 Gato fo} 193 4131 1346.5 806 5869) 193 4660) 374 fF S0} 194 7596 Cita A 805 2404] 194 8129 (3702 04118.196 1020) 34°3/1 1.803 8980)8. 106 1556) 338 6 10} 197 4403 1334.1 802 5597] 197 4942 1334.4 20] 198 7744 1330.0 801 2256} 198 8286 Fado } 30} 200 10 1326.01 799 8956] 200 1590 1326.3 » 40} 201 4304 ear. 798 5696] 201 4853 eek 5o} 202 7523 13182 797 2477| 202 8076 1318.3 95'/8.204 0703) 3 3°0|11-795 9297]8.204 125g aida 10} 205 3842 Sante 794 6158} 205 4401 ‘fo 4 20} 206 6942 1306.6 793 3058} 206 7505 lob 3 30} 208 0002 1302.9| 79! 9998} 208 0568 Picat 40} 209 3024 1398.2 790 6976] 209 3593 1298.6 50} 210 6006) 43 789 3994]. 210 6579 1294.7 pe: 211 8949 ok 5 11.788 105148.211 9526 Se To] 213 1854) 9 22>| 786 8146] 213 2434) 92°" a 214 4721 hae 785 5279] 214 5304 1983.3 Jo} 215 7550| * 9 784 2450] 215 8137 scl Ge 40] 2170341 ay 782 9659] 217 0931 1275. 5o} 218 3095|!?7 6 781 6905} 218 3688) | ye 718.219 5811 ob. 11.780 4189]8.219 6408 ans 10} 220 8490 5642 779 1510 ?20,9090| B46 20] 222 1132 1abo.5 777 8868} 222 1736 1260.9 30] 223 3737 1256 776 6263} 223 4345 1a5eS 40] 224 6306 i538 775 3694) 224 oor 1253.6 Sol 225 8839 1240.6 7741161] 225 9453 rake b 5818. pi 1335 wa 11.772 8665)/8.227 7953 casey To} 228 3796 19495 771 6204] 228 4417 1242.9 20} 229 6221 1238.9 770 3779} 229 6846 1930.3 30} 230 8610 935.5, 769 1390} 230 9239 1235 8 40] 232 0965) 53,2} 767.9035} 232 1597 19393 | 50} 233 328 reakes 766 6716] 233 3920 sa08 8 199/}8.234 5568 ve 11.765 443218.234 6208 i 53 [10] 235 7818), 5515] 764 218} 235 8461] 1000. | 20} 237 0033) ae, 762 9967} 237 0680 Ane 6 (30 238 2214 eee 761 7786) 238 2865 ee \40} 239 4361 rare 760 5639 te 5o15 yaihe | 59] ai 6474 1207.9 739 3526] | 240 7132 1208.3 1308.241 8553 11.758 1447 8. iy Bik co-sin. | diff. 1'' sec. co-tang. | diff. 1'’ TANGENTS, &c. co-tang. 11.837 2733} 10. 0000459 sec, 835 8278 0462 834 3872 0466 832 9513 0469 831 5201 0472 830 0936 0475 11.828 6718] 10.0000478 827 2547 0481 825 8421 0484 824 4342 0487 823 0307 0491 821 6318 0494 11.820 2374]10.0000497 818 8475 0500 817 4619 0503 816 o808 0506 814 7041 0510 813 3317 0513 11.811 9636)10.0000516 810 5998 0519 809 2403 0523 807 8850 0526 806 5340 0529 805 1871 0533 .603 8444]10.0000536 802 5058 0539 801 1714 0542 799 8410 0546 798 5147 0549 797 1924 0552 11.795 8741|10.0000556 794 5599 0559 793 2495 0563 791 9432 0566 790 6407 0569 789 3421 0573 11.788 0474|10.0000576 786 7566 0580 785 4696 0583 784 1863 0587 782 9069 0590 781 6312 0594 11.780 3592110.0000597 779 0910 0600 777 8264 0604 776 5655 0608 775 3083 o611 774 0547 0615 11.772 8047|10.0000618 771-5583 0622 770 3154 0625 769 0761 0629 767 6403 0632 766 6080 0636 11.765 3792}10.0000640 764 1539 0643 762 9320 0647 761 hes, 0651 760 4985 0654 759 2868 0658 11.758 0785; 10.0000662 tang. co-sec, TANGENTS, &c. co-tang, | 11.758 0785 11.750 8985 11.743 8351 11.730 0437 724 4240 11.723 308t 11.716 6766 11.710 1441 11.703 7083 _ D Ne) ~l ww D aD nn tang. 10.0000662 sec. 0665 0669 0673 0676 0680 10.00006084 0687 0691 0695 0699 0703 10,0000706 0710 O714 0718 0722 0725 10.0000729 0733 o737 O74I 0745 0749 10.0000753 0757 0761 0764 0768 0772 10.0000776 10.0000800 0804 0809 0813 0817 0821 10.0000825 0829 0833 0837 o841 0846 10.0000850 0854 0858 0862 0866 0871 '10.0000875 11.691 1158)10.0000900 co-sec,. co-sin, i 9.9999338}60) 9 335) eye 9331] 4 9327] 3c 9324] as 9320} 10) 9: sae I ee 72 sin ae 164 LOGARITHMIC SINES, j 1° sin. ari LA4 co-sec, tang. dif, 1'' LO! 18.041 8553 of 6th 758 head gene 9215 10 243 0599) oor 5 736 9401) 243 1264) | j 20 548 208 SB 0 irre ies a} eetligy Thal 36 a0 sis Bye |ttgt-4 : - ¥, ee : ° 247 8451), 28, ee 49) 2479131 1! 18.249 0332 1184,8/11°79° 9668)8.249 1015 j 10 250 2180] 13,6 749 7820 250 2868 20] 251 3996 1178.5 748 6004] 251 4688 30} 252 5781 oor 747 4219 252 6476) | | 4o 293 7533 fee 746 2467| 253 8232 5o] 254 9254 1168.9 ‘745 0746} 254 9956 | 2! 18.256 0943 1465.5 11.743 9057}8.256 1649 10 257 2600) 162.9 742 7400]. 257 3310 20 258 42271, 1594 741 5773 258 4 a J 30] 259 5822), 554 5 740 4178 259 6540 40 200 7387], 153.3 He cant mete he 261 8920 a oe 738 1080] 261 964 3/ 18.263 0424 ster 11.736 9576}8.263 1153 | 10 264 1895) 1473 735 8104] 264 2630 | 50 2695 3339) 41.9 734 6661} 265 4076 | 28089] 72S] 200 ol 968 448411293] 731 2513) 268 8236 x4 Pee Na eget fis negunee 4 gee Ghee 11.730 1190]8.269 9563 10 271 0104) 1464 728 9896 271, 0860] , 20 279 13051 123.6 ie gi Sey 130] 27 2604 190.6 72 i 96} 273 308) | 4o 274 3810}, 115.9 725 6190] 274 4578 | 59} 275 4987| 114.9 fe Ae 275 5760 5/ (8.276 6136 1113. oftt 229 3864|8.276 6912 10 277 7296) 109.9 72.2.2744| 277 8036 20 278 8348) | 46.3 721 1652} 278 9132 30 279 9411) 103.6 ib Ste Rai Bae aatapealle it aii ate Ne ae 282 r4! { 1098.0 717 8546] 282 2251 2838434 | O53 11.716 7566)8.283 3234] | Be we oP cose 715 6614] 284 4190 20 285 43101, 80.4 714 5690] 285 5118 30} 286 5207 1086.9 713 4793} 286 6019 40 287 6076 4843 7123924) 287 6893 ye 6919 ropes ope! : oe He | 7! 8.289 7734 1078.9 TL.710 2266}8.289 59], J 10 ape 8923) Gog 4 709 1477] 290 9352 = en 9285 1093.5 70h sbi o cabs 0] +293 0020 1070.9 706 9980} 293 0857 1 40] 2940729) 668.3) 709.9271] 294 1570 ; “ i 244 Sp 1065.6 704 8589} 295 2256 295 2067] 563.6 11.703 7933]8.296 2 7 10 297 3997 1060.4 Uap ik flee “wt 9 che 1059.8 70 99} 298 4159 Zo} 300 4433/1023] Bo0 5568] 300 5998 So] Sor 4959)'°22"7| 6985041] 301 8850 ok ad 9 Weo%o.4 98 5041] 301 5830 9/ (8.302 5460 ae" 11.697 4540}8.302 6335 10 303 5937| 645.1 696 4063} 303 6816 20 304 6388) 675.5 695 3612] 3047271 30 4 6813 ey pa pee oF ha fo 30 70410376 Ghee Joy 8786) 2038. a ged 9911035.1 9 wn 1035.6 +0) 8.308 7941 11.691 2059 8.308 8842 co-sin, y diff. 1" sec. ve co-tang. | diff. 1’’ 91° LOGARITHMIC SINES, TANGENTS, Wc. 165 | Bis : ‘ . ” Js SRG - ; - . diet. 1 — tang. i ait) ad aah sec, co-sin. 00 7941 11.691 20 : i an mal FS 28a 51 2S aa 8 1 oom. Sonn Jo} 3108570), 5-3} 689 1430] 310 9479 1030.6 6h sal 0905 9095} 50 of S11 8848 pany 688 1152} 311 9761 1028.2 688 ate 9999 9091} 4o fof 312 9101],653°,| 687 0899] 313 oo19 1025.8] Gon oe 9087] 30} Ho} 313.9331|1022°| 686 06691 314.0253 1023.4) go6 sal og! 9082} 20} 118,314 9536)10°."?|11.685 046418.315 0462|1070'2 11.684 ora ogee 9078} 10F | Oh. 315 9717), 615 8 684 0283] 316 0648 1018.6 683 pes 10.0000926 | 9.9999074]/49/| | 316 9875) ,3'3} 683 0125] 317 0810 LO16.2)" ayo Boe. 9069) 50} ‘o} 318. 0008) 5+ | 681 9992] 318 0948 1013.8) ¢ 9, pao oa 9065] 4o qf aipogtss| sng) Sips ed) oles] Sl) Bol 10} 320 020 5 gt hai 9. Oo 218.321 0269 eS 11.648 ike 8.301 ae: 1006.7 _ pi ut 0948 9052] 10} ‘| 322 0309/1008] 677 g691| 322 1266 1004.9] eT 83) 10.0000953 | 9-9999047/48! |0} 323 0326 3) 676.9674] 323 1287 1002-1 646 So 0997 g043} Sof Gf Sagcdig} 9°] 675 900i] 3nd 1380] 2979) 58715] 0905] gos jo} 325 02 ot 7. ? 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ES bes '9'18.361 3150] 9°2""|11.638 685018.361 4297] 9°70 635 P72 1142 8858] 10 GBs 2304 rot 634 76 an ye 915.6 11.638 5703}10.0001147 | 9-9998853/41 1] 363 1433] 9'3-| 636.5641 363 25801 913-6 637 6547 1152 8848} 50} jo} 364.0545 9722] 635 g4551 364 1705] 9118 seh ie 117 32481 2) of sedge Sele] SATE Sona) Siybes es| aS 10 71 { 634 1287] 365 908.0 rg It 334] 20 048.366 776 909.6 7 9885 634 0115 1171 8820] 10 (3 weal £1,633 2231)8.366 8945 906.0 11.633 1055]10.0001176 5. dod88a% 4)! co-sin. | diff. 1'' sec, eétane, dir 77) cea eS EE 5° . tang. co-sec, sin, sin. | 20'18.366 7769 367 6806 368 5824 369 4823 370 3804 371 2766 21'8.372 1710 10] 373 0635 373 9542 374 8430 375 7301 376 6153 22/18.377 4988 F 10} 378 3804 379 2603} 380 1384 381 0147 1 381 8892 123'/8.382 7620 383 6330 384 5023 335 3699 386 2357 387 0998 24! 8.387 9622 1 10] 388 8229 20 } 30 1 4o 1 5o| 392 2486 125! 8.393 1008 P10} 393.9513 1 20] 394 8002 30} 395 6475 i 390 5391 | 4o 396 4930 8 397 3370] 7." 126'18.398 1793 ‘ 1 50 399 0199 399 8590/2 389 6818} 9° 391 3947), LOGARITHMIC SINES, dif. 1"' 903.7 gor.8 599.9 898.1 396.2 894.4 892.5 890.7 888.8 887.1 400 6964|93¢ 401 5392 4o2 3664|° > $27118.403 1990 10} 404 03co0 120} 404 8594 30} 405 6873 #40} 4065135 P50] 407 3382 1238'18.408 1614 408 9829)9 409 8029 410 6214 4tt 4383 412 2537 £2/18.413 0676 110} 413 8800, 20] 414 6908 30] 415 5001 Q 1 40] 416 3079 150] 417 1142 130/18.417 9190 co-sin. v1? 810.8 809. 07.8 805.3 804.8 dif. 1"! 11.633 223118.366 8945 627 8290]8.372 2915 622 5012|8.377 6223 11.617 2380]8.382 8886 591 8386]8.408 3037 11,582 0810/8.418 0679 co-sec. tang. dit "’ 632 3194] 367 7987 631 4176} 368 7010) 630 5177} 369 60142 629 6196] 370 4999 628 7234] 371 3967 626 9365} 373 1845 626 0458] 374 0757 2 625 1570} 374 9651 624 2699} 375 8527 623 3847] 376 7384 8 621 6196} 378 5045 620 7397] 379 3849 619 8616} 380 2634 618 9853} 381 1403/, 618 1108] 382 0153 616 3670} 383 7601 8 615 4977| 384 6299 614 6301] 385 4980 613 7643} 386 3643 612 9002] 387 2290 ie! -612 0378/8.388 0918) 967, 611 1771] 388 9530 610 3182] 389 8125 855.8 609 4609} 390 6703|g5 6", 608 6053} 391 5264 854.4 607 7514} 392 3808 859.8 859.5 606 8992/8.393 2336] a5 0, 606 0487] 394 0846 605 1998] 394 9340] 9 42°¢ 604 3525) 395 7818)342'. 603 5070} 396 62791977. 602 6630] 397 4724 849.8 601 8207/8.398 3152 Bin, 399 1564 83 rm 399 99591838 401 6702 834.8 402 5050 833.1 600 9801 600 1410 599 3036 598 4678 597 6336 596 8010]8.403 3381 $376 595 9700] 404 1696 8 595 1406] 404 9996 898.4 594 3127} 405 8280 896.8 593 4865} 406 6548 ae 592 6618] 407 4800 823.7 591 o171| 409 1258 ok 590 1971] 409 9463|q_ 589 3786] 410 7653 588 5617} 411 5828 587 7463| 412 3988 30.0 819.0 817.5 816.0 814.4 586 932418.413 2132 ies 586 1200] 414 0261 8543 585 3092] 414 8374 80 ; 584 4999} 415 6473 Sons 583 6921} 416 4556 or, : 582 8858] 417 2605 ee sec. co-tang. |dif.1'’ TANGENTS, co-tang. 11.633 1055 632 2013 631 2990 630 3086 629 5001 628 6033 627 7085 626 8155 625 9243 625 0349 624 1473 623 2616 622 3777 621 4955 620 6151 619 7366 618 8597 617 9847 617 1114 616 23 615 ante 614 5020 613 6357 6127710 O11 9082 611 0470 610 1875 609 3297 608 4736 607 6192 606 7664 605 9154 605 0660 604 2182 603 3721 602 5276 .601 6848 600 8436 600 0041 599 1661 598 ae 597 4950 596 6619 595 8304 595 0004 594 1720 593 3452 592 5200 591 6963 590 8742 590 0537 589 2347 588 4172 587 6012 586 7868 585 9739 585 1626 584 352% 583 5444 582 7375 11.581 9321}10.0001488 tang. sec. Sc. ani 10.0001176 Ps 1181 oO 1186 é 1191] 4 1196 120] 10.0001 206 6 1211 1216 1221 1296 1231 oO 10,0001 236 4 1241 1246 125) 1256 oO 1261 fe) 10.0001 266 fe 1271 1276 - 1281 1286 1291 10.0001 297 1302 1307 ¥ 1312 1317 1302 10.0001328| ° 1333] ° 133¢ 1343 1349 1354 10.0001 359 1362 1370 1375] ° 1380] ° 1386 10.0001 391 1396 Ni 1402 1407 1412 1418) ° 10.0001423 ° 1428 1434 1439 1445 1450 10.0001456 1461 1467 1472 1477 1483 co-sec, 0.5 0.6 8 co-sin. 533] 4 0.6 £58 2 "£19-9998544)3] 0.5/9 999 83g 8528} 3! 8 8 9.9998 523) 2 517] 512}30 3 & | f LO GARITHMIC SINES ’ p] we. 167 ___HOGARITHWIC SINES, TANGENTS, We. 167 lo : : ' : : ail co-sec. p) AI C8 ere rE a) (aa * 1 118 Mae 803.31! 1.582 0810}8.418 06 nant Us vith dats fr 12 : 419 5242 801 S81 2777 0679/853.8/11-281 932 Ae eh ae of 420 3245 800 3 580 4758 802.4 581 7183 10.0001 488 Ret ow Vebadar 1234|79°°9 579 6755 Secteth (580-305 1494| °® 9-999851 21304 oO} 421 9208 797-4 578 8766 709 579 550 1500 0.6 ke 5oj U 8.422 7168 Lie ti fH yt 422 0725 798.0 578 7255 ee NG 84e5 4 Toh 423 511317949] 596 4 3918.49 86g0|790-9 577 9275 UT o, id Bo oP . 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% 7776866 5o 6878} 4o 6870! 30 6862] 20] 6854] 10} 99968 4649/5 79976038 5o 6830] 4o 6822] 30} 6814} 208 O} 4of 30} 6782 6773 6765] 20 6757} 10} 9-9996749,47! .9996700146") 799980 2| 5o} 6683} 4o} 6675] 30} 6667} 20 6659] 10 .9996650'45/j TT acs a 9] 10 9.9996601144/ 6592 50 6584] 4o 6576} 30 6567} 20 6559] 10 .9996550143! , mee ss 50 6534] fo} 6525} 30 65171 20 6508} 10} .9996500! 42! f 2 nig ie 50 6483} 4o 6474) 30 6466} 20 6457] 10 .9990449.41'} 4 eye: 50 6432) 4o} 6423} 30} 6415} 20] 6406) 10 9-9996398 40! sin, 87° sin. 2018. 609 7341 610 2505. 610 7663, 6rr 2815 611 7961) 612 3101 1228.615 8910 ae 616 4oor), 123/18.618 9369 2° Or daa), 619 9479 620 4519 6ar 4589 j24/18.621 9616 622 4637 622 9652 623 4661 624 4662 626 4594 627 4527 127/18.630 glil 631 8942 632 3849 632 8750 633 3¢ 646 634 3422 LOGARITHMIC SINES, 516.4 515.8 1515.2 620 9557, 623 9664) 125'18.624 9653.4 625 4639 7 625 9620) 626 9563) 631 4029) 634 8301{4 635 3175 505. 6 505.0 636 2906 12,/18.636 7764 637 2616 637 7463 638 2304 638 7140 635 8043 1485. 8 |485. 2 484.7 484.1 483.6 483.1 639 1971 130'/8.639 6790 co-sin. 482.5 dif. y"" saat loa) = _ Lal = 11.390 265 _ 11.360 32048.640 0931 _ 11.387 1765,8.613 i _ L onl _ = _ .384 1090}8.616 2616 375 0347)8.625 3518 .372 0516 8.628 3402 369 0889 8.631 3083 366 1463 8.634 2563 363 2236 8.637 1845, TANGENTS, ae es tang. 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Go-sec, di” sin. “|@ 96° LOGARITHMIC SINES, TANGENTS, &c. 199 173° dif. 1"' co-sec. tang. dif.1’'| co-tang. sec. d.l'') co-sin. 5 10.924 520119.078 5760 10.921 4240|10.0030960 996904010! 5 6556|"72-7] 924 3444) 078 7542)'78-2| “gar 2458] 0986) 29)” doi) 50 075 8312 1B 5 924 1688] 078 9323 ae 921 0677 IOII| 45 8989} 40 « aes 923 9933} 079 1103 we of 920 8897 1036) 45 8964] 30 72's 923 8178} 079 2883 ag 920 7117 1061 We 8939] 20 o} 076 3575 hay 923 6425} 079 4662 77-9 920 5338 1087 an 8913] 10 9.076 5329 tee 10.923 4671|9.079 6441|177°9}10.920 3559] 10.0031112 ».5|9:9968888} 9! ‘'o} 076.7081 a 923 2919} 079 8218 77- 920 1782 1137 6 8863] 50 oO} 076 8833 wg 923 1167] 079 9995 apa 920 0005 1163] 5 5 8837] 40 ao} 077 0584 tae 922 9416} 0801771 ne gig 8229 1188 Xe! 8819} 30 oO} 077 2334 jes 922 7666] 080 3547|'77"?| ~ 919 6453 1213) 6 8787] 20 o} 077 4083 ti 922 5917] 080 5322 ve ty 91g 4678 1239] 45 8761} 10 "9.077 5832 8 10.922 4168]9.080 7096 eal 10.919 2904}10.0031 264] 5, 5|9-9968736] 8! 9} 077 7580 oF 922 2420} 080 &869 wide 91g 1131 1289| 6 8711} 50 3} 077 9327|'74°7| 922.0673] 081 0642|177° 918 9358 1315] 4 5 8685} 40 a} 078 1074 yg 921 8926] 081 2414|'77°7| 918 7586 1340| 45 8660} 30} 078 2820 ae 921 7180] 081 4185|'77"") 18 5815 1365] 56 8635] 20 078 4565 174, g21 5435} o81 5956 Riget 918 4044 1391 at 8609] 10 9.078 6310 Nis! 10.921 36g0}9.081 7726 eee 10.918 2274|10,0031 416 AG 9-996858.4] 7! 078 8054 ae 921 1946] 081 9495 6 918 0505 1442 ah 8558] 50 078 9797 oe 921 0203] 082 1264 hae 917 8736 1467] 6 8533} 4o J 079 1539 mp4 920 8461] 082 3032 me 917 6968 1493) 4 5 8507} 30 079 3281 if 920 6719] 082 4799 eee 917 5201 1518] 4 5 8482} 20 } 079 5022) 7 ol. 9204978} 982 6565 66 917 3435 1543] 5'6 8457] 10 079 6762 con 10.920 3238]9.082 8331 ate 10.917 1669}10.0031569} 4, 5/9-9968431] 6 079 8502 tog 920 1498} 083 0096 146.4 916 9904 1594] 46 8406] 50 080 0240 919 9760} 083 1860 o6 y 916 8140 1620 ste 8350} 4o } 080 1979) 75°9| 919 8021] 083 3624/1724] 916 6376 1645] 4'6 8355] 30 4 080 3716 Hehe 919 6284] 083 5387 a6: 916 4613 1673] 55 8329} 20 080 5453 ey 919 4547} 083 7149 Ae 916 2851 1696 ay 8304] 10 9.080 7189 a6 10.919 2811]9.083 8911 eRe 10.916 1089]10.0031722| , 6/9-9968278] 5! > 080 8924 ee 919 1076] 084 0672 beak 915 9328 1748] 9.5 8252] 5o 081 0659 34 918 9341] 084 2432 ma 915 7568 1773] 56 8227] 40 081 2393 at 918 7607] 084 4191 eee 915 580g 1799] 9.5 8201} 30 081 4126) 75} 918 5874} 084 5950 ws "Z| 915 4050 1824| 4 6 8176} 20 081 5858 pnt 918 4142} 084 7708 58 915 2292 1850 a8 8150} 10 9.081 7590 ae 10.918 2410]9.084 9466 5G 10.915 0534|10.0031875) 5 ¢|9.99681 25] 4/ 081 9321 aes 918 0679} 085 1222 8 6 914 8778 1901| 5 6 8099] 50 >} 082 1052 he : 917 8948 085 2978 . 15 6 914 7022 1927] 5 5 8073] 4o MH} 082 2781|) 7?" 917 7219} 085 4734 8 914 5266 1952| 5 6 8048} 30} HD) 082 4510|172'9 917 5490] 085 6488 a j 914 3512 1978) 5 6 8022] 20 HH] 082 6230|'7?°9 gt7 3761] 085 8242 at 4 914 1758 2004] 4 5 7996} 10 082 7966 beng 10.917 2034]9.085 9996 oe 10.914 0004}10.0032029] 5 6/9-9967971| 3! } 082 9693 nian 917 0307} 086 1748 si ; g13 8252 2055] 5 6 7945| 50 083 1419

  • | 908 4838] 094 8514) 7 °°2) G05 1486 3359 40] ogt 6854 (6 908 3146} 095 0232 ay 3} 904 9768 3378 50] ogr 8546 6, 908 1454} 095 1950 ie 904 8050 3404 Be 9.092 0237 bad 10.907 976319.095 3667 ane 10.904 6333]10.0033430 092 1927 168 907 8073] 095 5383 shied 904 4617 3457} 5 20] 092 3616 BN, 907 6384] 095 7099 He '5| 904 2901 3483 Jo} 092 5305] 69°) 907 4695} 095 8814 nae 904 1186 3509 40] 092 69931 69" 907 3007} 096 0528 es 903 9472 3535 50} 092 8680 fants 907 1320] 096 2242 Hike 3] ~ 9037758 3562 7! 19.093 0367 ARie 10.906 9633}9.096 3955 th 10.903 6045) 10.0033588 56% 10} 093 2053) ge’) 906-7947} 096 5667 a >| 903 4333 3614) 20} 093 3739 168.41 908 6261} 096 7379 or: 903 2621 3640} ** 30) 093 5423), 68.4 906 4577] 096 gogo} ,-, 4} 903 0910 3667 6 140} 093 7107), 684] 906 2893) 097 0800 ee go02 9200 3693) 36 50 4 8791 168. 906 1209] 097 2510 7 go2 7490 3719 mm 8! 19. 094 0474], 695/10: ee 9526]9-097 4219 ue g 10.902 5781|10.0033746 ae , IO] 094 2156 168.1 905 7844] 097 5928|1 7 obi go2 4072 3772 6 20] 094 3837 168. 905 6163} 097 7636 si go2 2364 3798 oe 30} 094 5518] 62"! G05 4482] 097 9343 pn 902 0657 3895 a 40} 0947198} ¢_ 905 2802} 098 1049 ia goi 8951 3851) >" 50} 094 8877 oles 905 1123] 098 2755 sa gor 7245 3878 ae 9 19.095 0556 ee 10.904 9444|9.098 4460 bey 5|10-901 5540]10.0033904 ae To] 095 2234 ‘non 904 7766] 098 6165 ty gor 3835 3930] ?° 20] 095 3912 a 904 6088] 098 7869 83 gor 2131 3957 a. 30} 095 5589 6.6 OM 4411] 098.9572 a gor 0428 3983] ?° 40} 095 7265 1645 904 2735 om a 70. 900 8725 4o10 re! 50] 095 8940 6,5 904 1060} 0g po: 900 7023 4036) ?° 10!]9.096 0615|'”7"?| to. 203 9385)9. fe 4698 shad "/10.900 5322|10.0034063) ?*7 co-sin. |dif. 1’ sec. co-tang. |dif. L’’ tang. co-sec. |d. ‘o} ror 5520 LOGARITHMIC SINES, co-seCc. 10.903 9385}9.099 4678 903 7711 903 6037 903 4364 903 2692 go3 1020 gor 7671 tang. 10.901 9338)9.101 5044 101 6737 101 8429 102 O121 102 18192 102 3502 3 , z 10.900 9349}9-102 5192 900 7687 900 6025 900 4364 goo 2703 g00 1043 102 6881 | 102 8569 103 0257 103 1945 103 3631(2 : 1880 10.899 9384}9.103 5317 899 7725 899 6067 899 4410 899 2753 165.8 165.4 ror 3867 165.3 193 7002 ifn’ 10. 170.1 169.4 169.3 Ay 169.2 |169.2 169.1 169.0 | 169.0 16h011° 168.6 168.5 TO. .2 10. 2 110-897 9523}9.105 5500 16 z 897 7872 897 6222 897 4572 897 2923 897 1275 896 7980 806 6333 896 4688 896 3042 896 1398 164. 10.8 894 6625 894 4987 894 3349 894 1712 105 7177 105 8854 106 0531 106 2207 78 106 3882] ie 10.896 9627}9.106 5557) 106 7231 106 8904 7d 108 8936)! 109 0602 109 2266), 109 3930 10.894 0076}9.109 5594 co-tung. ro. dif. 1"' TANGENTS, co-tang. goo 5322 898 8344 898 6650 898 4956 898 3263 898 1571 897 9879 897 5188 897 6498 897 4808 897 3119 Se 4683 6 2998 806 1333 895 9629 895 7945 895 6262 895 4580 895 2899 895 1218 893 4443 893 2769 893 1096 892 9423 892 7751 tang. sec, 10.0034063 4089 4116 4142 4169 4195) | 10.0034222 4248) ° 4275) 9 4301)" 4328) >" 4355 10.0034381 4408 4434 4461 4468] ~~ 451 4| . 10.0034541} ° 4568 | 4994| 5 4621) =" 4074 + 10.0034701 = Ee ae OU OU OA aa) > OD a : O~A Q &e. 2 10.0034862 ae: 4888 4915 4942| >"? 4969 aks 4996 10:0035023 ; 504g] > 5076 5103 5130 5507 10.0035184 ; 5 For 5238 5265 3.4 5292 5318 10.0035345 eeyP) 5399 5426 5453) > 5480 10.0035507 5534) > 5562 5589 5616 5643 co-sec. 5566 4o} 5539 30} 312] 20F 5486 10 9-996545g147f 2 7'9.9964655|42! 2.7/7? 4628} 50} —_ co-sin. {difil’’ sec. co-tang. jdif.1"’ tang. 202 LOGARITHMIC SINES, TANGENTS, &c. To a sin. dif. 1°” co-sec. tang. ait.” co-tang. ; F i 20'l9.105 9924 10.894 0076]9.109 5594 10.890 4406 10 ; 106 7360 ey 893 8440} 109 7257 Dag 890 2743 20} 106 3195 163.4 893 6805} 109 8919) 66, 890 1081 30 106 4829] 63 4 893 5171| 110 0581 166.1 889 9419 40} 106 6463 163. 893 3537] 110 2242 166.0 889 7758 So} 106 8097) 63 5 893 1903] 110 3902] Geo 889 6098 21'/9.106 9729 Bo 10.893 0271]9.110 5562) g-" 10.889 4438 ro} 107 1361 163. | 892 8639) 1107221 ‘656 889 2779 20] 107 2993 163.0 892 7007} 110 8879 165 8 889 1121 30] 107 4623 63 892 5377| 111 0537 165.8 888 9463 4o} 107 6253 ea 892 3747] 111 2195 165 6 888 7805 5o| 107 7883 6 : 892 2117] 111 3851 165. 888 6149 22'19.107 9512 fea k 10.892 0488}9.111 5508 65.5 10.888 4492 ro} 108 1140]"2>'4| 891 8860] 111-7163) ¢2'2| 888 2837 20} 108 2768 nae 891 7232) 111 8818 165.4 888 1182 30} 108 4395 "6a b 891 5605] 112 0472 186 887 9528 40} 108 6021 162.6 891 3979] 112 2126 165.3 887 7874 5o| 108 7647 65 891 2353] 1123779 165.0 887 6221 23'19.108 9272 162.5 10.891 0728]9.112 5431 165.9 10.887 4569]10.0036159 7" 10] 109 0897 Gao 890 9103] 112 7083 Bb 887 2917 6187 20] 109 2521 46913 890 7479] 112 8734 165.1 887 1266 6214 30] 109 4144 160.3 890 5856] 113 0385 165.0 886 9615 6241 i 4o} 109 5767 °64'9 890 4233} 113 2035 164, 886 7965 6268) 5 50] 109 7389 Pie 890 2611] 113 3684 ams 886 6316 6296] 5 9-109 gor0| | >”, |10.890 0990}9.113 5333} G4 2] t0-886 4667] 10.0036323} 5 110 0631] ¢°'o| 889 9369) 113 6982 1642 886 3018 6351 110 2251|12”")| 8897749] 113.8629], ¢/°7/ 886 1371 6378 110 3871 Panik 889 6129} 1140276 646 885 9724 6405 110 5490 ates 889 4510] 114 1922 164.6 885 8078 6433 110 7108|'¢1'a| 889 2892) 114 3568] 67's} 885 6432 6460) 5 5/19.110 8726 6i, 10.889 1274)9-114 5213] 6/5 10.885 4787}10.0036487| 5 111 0343] 717} 888 9657] 114 6858) 6 /',| 885 3142 6515 T1z 1960 bain 888 8040] 114 8502 164.3 885 1498 6542| 5 rr1 3576 16 ‘5 888 6424] 1150145 164.3 884 9855 6570 ITI 5SIgI 161 5 888 4809] 115 1788 164.5 884 8212 6597 111 6806 ey 888 3194] 115 3430 164. 884 6570 6625 26'19.111 8420 613 10.888 1580]9.115 5072 ea 10.884 4928]10,0036652 4 10] 112 0033] ¢1°3 887 9967} 1156713 6A. 884 3287 6680 20] 112 1646 613 887 8354] 115 8353 164 °| - 884 1647 6707 30] 112 3259 Grit 887 6741] 115 9993] 63 884 0007 6735 4o| 112 4870 a 887 5130] 116 1632 163 9| 883 8368 6762 5o] 112 6481 pag: 887 3519] 116 3271 Hey 883 6729 6790 27'19.112 8092 Haas 10.887 1908}9,116 4909) 63° 10.883 5091]10.0036817 ; ro] 112.9702] 6.0] 8870298] 116.6546), 63..| 8833454 6845) 5 20} 113 1311] 6 9} 886 8689] 116 8183| 65 883 1817 6872 30] 113 2920 aie 886 7080} 116 9819) 63'¢ 883 o181 6g00 Go} 113 4528|"2°""| 886 5472] 117 1455] 63'¢| 882 8545 692 5o} 113 6135 ae 886 3865] 117 3090} 63. 882 6g10 6955 23'l9.113 7742 oe é 10.886 2258]9.117 4724 163.4 10.882 5276]10.003698 2 ro] 113.9348] 2°"-| 886 0652} 117 6358] 633) 882 3642 7010} 2 20] 1140954 (600% 885 9046} 1177991 163.3 882 2009 7038 30] 114 2559 Mt 885 7441] 1179624 163. 882 0376 7065 4o] 114 4163] 60°} 885 583] 118 1256 163.4; 081 8744 7093 150] 114 5767 160. 885 4233] 118 2887 631 881 7113 7121 129'19.114 7370]! 20°3|10.885 2630|9.118 4518] 63\, {10.881 5482]10.0037148) > ro} 114 8973 be 885 1027} 118 6149 + Oe 881 3851 7176 , a0) 1150975 160 884 9425) 118 7778] 6, 881 2222 7204 130} 115 2176 60 884 7824) 118 9407 Base 881 0593 7335 Go} 115 3777|"2°"3| 8846223] 119 1036] 16,'2) 880 8964 7259 5o} 115 5377 bos 884 4623) 119 2664] 6, 880 7336 7287 130/19.115 6977 10.884 3023]/9.119 4291 ‘/)10.880 570g9/10.003731 4 q — co-sec. dl” sin. 97° LOGARITHMIC SINES, TANGENTS, &c. 203 172° sin dif, 1" co-sec, tang. ee 2 co-tang. sec, d.l/| co-sin, Wig.115 6977 10.884 3023!9.119 4291 10.880 5709/10.003731 '9.9962 86130" i 115 Be pi 884 1424 ; 1 a: 5 75 ae 880 4082 Ta 2.87 epee: te 116 0174 528 883 9826] 1197544 162.5 880 2456 7370 ab 2630] 4o 116 1772 ae 883 8228] 119 916g 166: 880 0831 7398 ad 2602] 30 116 3369 {ia 883 6631] 120 0794) 6h ) 879 9206 7425 rH 2575] 20 116 4966 56 883 5034] 120 2419 162.5 879 7581 7453 a8 2547] 10 "9.116 6562 4 10.883 3438|9.120 4043 162.4 10.879 5957|10.0037481 se 9-9962519]29! 116 8157 5 883 1843] 120 5666 et. 879 4334 7509 2.8) 2491 5o 116 9752 BO 4 883 0248] 1207288 : at 879 2712 7536 cg: 2464] 4o 117 1346 Bef 882 8654] 120 8910 aan 879 1090 7564 2.6 2.436] 30} 117 2940 mse 882 7060] 121 0532 Bee 878 9468 7592 28 2408] 20 117 4533 a 882 5467] 121 2153 hi 878 7847 7620 2.8 2380} 10 "19.117 6125 Ro 10.882 3875]9.121 3773 eas 10.878 6227}]10.0037648 a4 9-9962352)28! Bert] 7717 ta 882 2283] 121 5393 +o 878 4607 7676 sta 2324] 50 fo} 117 9308 nes 882 0692] 121 7012 aed 878 2988 7703 ra 2297] 40 fo} 118 0899 ae 881 g1o1} 121 8630 ae 878 1370 7731 a6 2269} 30 Jo]. 118 2489 ee, 881 7511] 1220248 pe 8 877 9752 7799 ae 22411 20 118 4079 588 881 5921] 122 1866 te 6 877 8134 7787 a8 2213] 10 19-118 5667 58. 10.881 4333]9.122 3482 ee 10.877 6518]10.0037815 #6 9.9962185}27! 118 7256 58. 881 2744] 122 5099 Se 877 4901 784 ae 2157} 50 ‘Q} 118 8843 58:3 8811157] 1226714 te 877 3286 7871 ae 2129] 40} 119 0431 58.6 880 9569} 122 8329 ya 877 1671 7899 = 2101| 30 HY 119 2017] 566 880 7983] 1229944 an 877 0056 7927 5S 2073} 20 119 3603]'289| 880 6397] 123 1558|"21'4) 876 8442 7955, 73) 20451 10 "9.119 5188 58.5 10.880 481 2]9.123 3171 yee! 10.876 6829]10.0037983 ei 9-9962017|26! 119 6773 58 4 880 3227] 123 4784 Mas 876 5216 8or1 oe 1989} 50 119 8357|'20°4| 880 1643] 123 6396]! 17] 876 3604 8039 28] 1961 40 119 9941|'2,°3| 880.0059] 123 8007|'g,"1| 876 1993 8067] 2° 1933] 30 | 120 1524 58.0 879 8476] 123 9618 baat 876 0382 8095 7 1905] 20 120 3106 758.0 879 6894] 124 1229 see 875 8771 8123 a 1877] 10 9-120 4688 58.1 10.879 531219.124 2839 baie 10.875 7161|10,0038151) ~" 9.9961849]25! 120 6269 Bt 879 3731} 124 4448 baci 875 5552 8179 fe 1821] 50 120 7850 58, 879 2150] 124 6057 6h 8 875 3943 8207 me 1793] 40 # 120 9430 5 a 879 0570] 124 7665 ‘Ba: 875 2335 8235 in 1765] 30 I2t 1009 rl 878 8991| 124 9272 teal 875 0728 8263 ie 1737] 20 121 2588 ry 878 7412] 125087 mat 874 9121 8291 Se 1709] 10 P/9-121 4167| 77 '9}10.878 5833}9.125 2486 "60, £|10:874 7514] 10.0038319 5 g|9-9961081/24/ , 1215744 5S, 878 4256] 125 4og1 aan 874 5g09 8347 a 1653] 50 p} 120 7322/'27"7| 878 2678] 125 5697 Maa gt 874 4303 8375 st 1625] 4o 121 8898 56 878 1102] 125 7301 bids 874 2699 8403 ie 1597] 30 )} 122 0474 he 877 9526} 125 8905 B54 874 1095 8431] >" 1569] 20 | 122 2049 5,5 -877 7951] 126 0509 baa 873 9491 8460 aif 1540] 10 9.122 3624 BA 10.877 6376]9.126 2112 ye 10.873 7888]10.0038488 isp 9.996151 2}23! 122 5198 5 877 4802| 126 3714 ore 873 6286 8516 ie 1484] 50 1226772|/27°3| 877 3228} 1265316 30 ,| 873 4684 8544) 3's 1456} 40 122 8345|'27'3| 877 1655 126 6917 bot; 873 3083 8572| o's 1428] 30] )} 122 9918 gh 877 0082} 126 8518 wie 873 1482 8600] 2" 1400} 20 | 123 1490 ade 876 8510} 127 0118 ate 872 9882 8629 4 1371] 10 119.123 3061 abe 10.876 6939]9.127 1718 aoe 10.872 8282]10.0038657 oe 9.9961 343}22! = 123 4632|'27"") 876 5368) 127 3317|157'2| 872 6683 8685] >"3) 1315) 5o 123 6202 ibe. 876 3798} 127 4915 Rig 872 5085 8713 3 1287] 4o 1237771 a 876 2229] 1276513 ree 872 3487 8742 3 1258} 30 123 9340 56.2 876 0660] 127 8110 pail 872 1890 8770 re 1230] 20} 124 0909 56.8 875 gogi} 127 9707 ray 872 0293 8798 tp 1202] 10 9-124 2477 36. 10.875 752319.128 1303 526 10.871 8697]10.00388 26 . 9.9961174]21! 124 4044 5B 875 5956] 128 2899 55 871 7101 8855 mies 1145} 50 124 5611|"22'2| 875 4389) 128 4494) 127 7) 871 5506 8883] °"3| 1117] 40] 124 7177| 56 5 875 2823] 128 6088 +34 871 3912 8911] 5 108g} 30 124 8742 56 5 875 1258} 128 7682|! ee 871 2318 8940 =e 1060] 20 125 0307 156.5 874 9693} 1289275 See 871 0725 8968) 5 'g 1032] 10 9.125 1872| ~ ~|10.874 8128}9.129 0868 T9-?! 10.870 9132)10.0038996| ~~ 9.9961004;20! co-sin. |dif.1'’ sec. co-tang. {dif.1"’ tang. co-sec. |d.1” sil. 82° To aif, 1” | LOGARITHMIC SIWNES, TANGENTS, sin. co-sec, tang. dif. 1''| co-tang. sec, ai 140'19.125 1872) 10.874 8128)9.129 0868 10.870 9132}10.0038996 : Y 125 3436 ae 874 6564 13 2460 re 870 7540 ooa5 me 120! 125 4999 be 3 874 5001] 129 4052 ft 870 5948 9053 28 | 30} 125 6562 56. 874 3438] 129 5643 ata 870 4357 9081) 4o] 125 8124 Uses 874 1876} 129 7233 wes 870 2767 ore fe) 8 0890 P50} 125 9685 Pare 874 0315] 129 8823 56 870 1177 9138) 33 086a) pe 9.126 1246 ae 10.873 875419.130 0413 15a. 10.869 9587110.0039166 & 9-9960834]1¢ 126 2807 156 0 873 7193] 130 2002] 7°) 869 7998 9195 a8 8 | 20] 126 4367|12."°| 873 5633} 130 3590] 59a] 869 6410 9223) 5 130} 126 5926 ee 873 4074) 130 5178) 56 869 4822 9252 %: 4o] 126 7485|'72'2) 873 2515] 130 6765) 70°6| 869 3235 9280] So} 126 go43 155, 873 0957 130 8351] 59" 869 1649 9309 BY 42'19.127 0600 eae 7\10.872 9400|9-130 9937 158.6) 10-869 0063}10.0039337| 5’. \9-9960663 TO! +1277 2157 ae 872 7843) 131 1523] 5o°5| 868 8477 9366 Ae 063. 20} 127 3714|'22-7| 872 6286] 131 3108|750"7| 868 6892 9394) 5 0606 | 30) 127 5269 ee 6 672 4731] 131 4692 158.4 868 5308 9423 oe 4o| 127 6825 5B. 5 872 3175] 131 6276 158.3 868 3724 9451) 5 5o] 127 8380)! Be 872 1620] 131 7859 158.3 868 2141 9480 3B 052 4319.127 9934] 5 n°3|10.872 0066}9. 131 9442| 59 ,|10-868 0558}10.0039508) 5 9.9960492 fro} 128 1487 55 3 871 8513} 132 1024 pi 867 8976 9537 58 o4 20) 128 Sofol py '3) 871 6960] 132 2605)" 158.1 807 7395 9565] 5 30} 128 4593 555 871 5407| 132 4186 158.1 867 5814 9594 ae | 40] 1286145 55, 871 3855} 132 5767 158.0 867 4233 9622) 5 150} 128 7696 BB. ; 871 2304] 1327347 5 : 867 2653 9651 a 0349 bass A 128 9247 155 ol 1° 871 0753}9.132 8926 oe 9 10.867 1074 10099079 wi 9-9960321}) | 129 0797| 554) 8709203) 133 0505) 5 73 866 9495 9708 ape : 20] 129 2347 5A. 870 7653} 133 2083 15.8 866 7917 9737 a2 130} 129 3896 5 48 870 6104] 133 3661 56, || 866 6339 9765) 5” | 4o| 129 5444 54.8 870 4556] 133 5238 + i 866 4762 9794 me | 50] 129 6992 54. 870 3008} 133 6815 ae 6| 866 3185 9823 ag 45!19.129 8539 5A 7| 10.870 1461|9.133 8391 1545 10.866 1609]10.0039851] 509-9 10] 130 0086 BAO 869 9914] 1339 tl 5| 866 0034 9880 = 20| 130 1633] 7; {5 869 8367] 134 1541), 5 4} 865 8459 9909| 52 3o| 130 3178) 57"2| 869 6822] 134 3115] 577) 865 6885 9937| 5, § 40} 130 4723 1545 869 5277] 134 468 BoA 865 5311 9966 ah So} 130 6268 54 Ar 869 3732] 134 6263 ims 865 3737|10.0039995 3 46!19.130 7813) 5 4°3\10. 869 188 9.134 7835 Be. 10.865 2165]10.0040023} * 10} 130 9355 BA 3 869 0645} 134 9408 ee, 865 0592 0052| —" 20} 131 0898 BA 3 868 9102} 135 0979 5S 1| 864 9021 0081] . 8 t 30) 131 2441 IBA 868 7559) 135 2550 rah 864 7450 O109 x fo} 131 3983 BA, 868 6017| 135 4rat| 2? 864 5879 0138} 5°? 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ORO GTO Bag) 0825 tr ocak phn 169 9838 oe 830 0162] 174 7868 144.0/ 895 aes 5030 aa} 00 yi 170 3245 ae 829 8755} 174 9307 anh 825 0693 8062 3.2 pa . 170 2652 te ~~ 7348} 1750746 eS 824 oad 8093 3.1 or 20 } 170 4059 140.6 95941] 175 2184 ; 38 824 7816 8125 3:2 1854 10 Ng.170 2 dG 10. 825 (535 9. wp ae oe : 10.824 6378]10.0048156 a 9-9951844}29/ 170 6871) 7" 29 3129) 175505 824 4941 8188) 3° 170 8277 Di 829 1723} 175 6496 sa ‘h 824 3504 bate 3. i = 170 9682 act 829 0318] 175 7933 13. 4 824 2067 8251] 32 CPR to 171 1086 ios 828 8914] 175.9369 13. 5 824 0631 8283 ana 1717| 20 } 171 2490 1403 828 7510] 176 0804 823 9196 8314 $1 1686} ro} Ng.171 3893 "3|10.828 6107]9.176 2239 ' 10.823 7761|10.0048346 3,2 51654]28/ 171 52961423! 808 4704)” 176 3674 143.5 823 6326 8399] 2277? 16031 50 171 6699 ye 828 3301] 176 5108 bas 823 4892 8409 he 1591| 4 171 8101 ryt 828 1899} 1766542 mes 823 3458 8441 a2 1Sho 30 171 9503 idol 828 0497] 176.7975 ae 823 2025 8472 et 1528} 20 ] 172 0904 ton 827 9096} 176 9408 ih 823 0592 8504 oa 1496] 10 9.172 ae AKO 10. ear hee 9.177 0840 ap ; 10.822 9160]10.0048536 te 9. 9951 46d 27! i} 172 370 27 6295} 177 2272] 73° ane 28 8567] 3° 172 5105 ea 827 4895} 177 3703 ne 822 bine 8599 oo Mor i 172 6504 net ay 827 3496] 177 5134 Yee 822 4866 8631 oy 1369} 30 172 7903 cats 827 2097} 177 6565 a "822 3435 8662| 3! 1338] 20 172 9301 1328 827 0699} 177.7995 3. ©} 822 2005 8694 3.2 1306] 10 9.173 0699 9-°| 10.826 9301}9.177 9425 phe 10.822 0575]10.0048726 gs 51274|26! y «173 2097 pet 826 7903] 178 0854 142.9) “gar gt 46 8459 3.1997 1943 50 } 173 349411297} 826 6506} 178 2283|!4?-9] 891 9717 8580) 3*2 1211] 4c 173 4890 we 826 Siro] 178 3711 caine 821 6289 Bho? og 1179 30] 173 6286 326 826 3714] 178 5139 ee 821 4861 8853 3.2 1147} 20 | + 173 7682 1305 826 2318] 178 6566 : * ; 821 3434 8884 ie Tr116] ro} BP 27 307 139.3 10820 opto 78 7999) da g'0 821 2907 rocoto 9 ap-995 tobe Le : I i) 174 1866 a4 825 8134] 179 0846 po 820 9154 8480 3.2 ia ho 174 3260 323 825 6740] 179 2271 hb 820 7729 gor2 3.2 0988} 30 174 4653|"39'3| 825 5347] 179 3697|'42"7| 820 6303 9043) 21] 0959] 20 | 174 6046 ans 825 3954] 1795121 ant 5 820 4879 9075 2 0925] 10 a “i eon 10. as 256 9.179 6546 pe 3| 10-820 3454] 10.0049 107 we 9.9950893}24! 17 I 2511 179 796 820 2031 139] 5° 86 175 0222 ae 824 sand i 308 142. i 820 0607 ote ie act a | 175 1613 fant 824 8387| 180 0816 oH 819 9184 9203 2:3 0797| 30 y 175 3004 OCs 824 6996} 180 2238 ne 819 7762 9234 As 0766] 20 4 175 4394 8 Be 824 5606] 180 3660 +7 r 819 6340 9266 =p 0734] 10 (17 bad 138.9 ha aey 9.180 5082 oh ; 10.819 4918}10.0049298 ‘e 9.9950702]23/ $175 7173] 46° 24 2827} 1806503 819 3497 JO) 51% 0670] 5 We 175 8562 aay 824 1438] 1807924 se 810 aon 2369 ae 0638 me ] 175 9950) 398 824 0050] 180 9344 whips 819 0656 9394 fe 0606] 30 176 1338|'52'-| 823 8662] 181 0764| 7 | 818 9236 9426) 3". 0574] 20 iP 176 2725 sagt 823 7275} 181 2183 yeu 818 7817 9458 ye 0542] 10 119-176 4112 ‘7| 10.823 5888}9.181 3602 -9! 10.818 6398] 10.0049490 . 505.1.0}22! | 176 5499 ee 823 4501] 181 5021 ve 3 818 4979 ee 3.2|9°99 0478 BG 176 6885} 39'5 823 3115] 181 6439 i 818 326, 9554 ap 0446} 4o 176 8270 138.6 823 1730] 181 7856 pe 7| 818 2144 9586 an 0414} 30 176 9656 138.4 823 0344] 181 9273 ey 71 818 0727 9618 0382] 20 i} 177 1040 138. §22 8960} 182 0690 At 6 817 9310 9650 Se 0350} 10 119-177 2425) 30 9/10.822 7575}9.182 2106 F)|10.817 7894] 10.0049682| >" 5031 8/21! 177 3808 py 822 6192} 182 3522 ye 817 6478 9714 3.2|7°99 0286) 50 177 5192 738.3 822 4808} 182 4938 7B 5 817 5062 9746 on 0254] 4o | 177 6575|'35°5| 822 3425] 182 6353 fh 817 3647 9778] 3°, 0222| 30 i} 177 7997 138.2 822 2043] 1827767 on 4 817 2233 9810 34 0190} 20 I] 177 9339 138.0 822 0661] 1829181 ae 4 817 0819 9842 ee 0158] 10} g.178 0721] ~ “|10.821 9279/9.183 sas 10.816 9405|10.0049874 "9.99501 26}20! co-sin. {dif. 1’’ sec. co-tang c dif, 1"’ tang, So-sec, i» \dy! al! sin, ie hha 30 g]° 27 R* 40/19.178 0721 10 141./19.178 goor Io] 179 0379 20 30 40 50 179 4512 179 5888 42'19.179 7265 / 10] 179 8640) 180 0016 180 1390 180 2765 180 4139) 43'19.180 5512 10 20 30 4o 5o 180 8258 181 1002 181 6484 181 7854), 181 9223) | 182 0592 45'19.182 1960 10 182 3328 182 4695 182 6062 182 7428 182 8794 . 146//9.183 o160 183 1525 183 2890 183 4254 : 183 5618)" 183 6981\? 47'19.183 8344|" 183 9706 184 1068 184 2430 184 3791 184 5152 48'19.184 6519|_ 10] 184 7872 co-sin. 98° I 179 1797], 179 3135) | 180 6885)" I 180 9630) , 181 2373 , 44"19.181 3744 181 5114) _. LOGARITHMIC SINES, dif, 1°’ co-sec. 821 7898 821 6517 821 5137 821 3757 821 2378 4 10.821 0999|9-183 9068 : 820 9621 820 8243 820 6865 820 5488 820 4112 820 1360 819 9984 819 8610 819 7235 819 5861 819 3115 819 1742 819 0370 818 8998 818 7627 818 4886 818 3516 818 2146 818 0777 817 9408 817 6672 817 5305 817 3938 817 2572 817 1206 816 8475 816 7110 816 5746 816 4382 816 3019 816 0294 815 8932 815 7570 815 6209 815 4848 815 2128 815 0768 814 9409 814 8051 814 6693 814 3978 814 2621 814 1265 813 9909 813 8553 dif. l sec, tang. 10.821 9279|9.163 0595 183 2008 184 0478 10.820 2735}9.184 7525 184 8933 185 0340 185 1747 185 3154 : 185 4560)! 10.819 4488}/9.185 5966 185 7371 185 8776 186 o181 186 1585 186 2988 o| 10-818 6256}9.186 4392 186 5794 186 7197 186 8599 187 0000 187 1401 10.817 8040|9.187 2802 : 187 4202 979 10.816 9840}9.188 1196 188 2594 {10-816 1656]9.188 9575] 37° 189 0970 ‘ 10.815 3488}9.189 7939 189 9331], 3 190 7677 190 9067 191 0456 1gt 1845 191 3233 10.813 7198]9.191 4621 co-tang. 90 4897) 32. 10.814 5335]9.190 6287 139.0 dif. 1’’) co-tang. 141.3 10.816 0932 a 815 ee 815 8112 815 6702 815 5293 5 815 3884 "Z|10.815 2475 FA0:0 815 1067 814 9660 814 8253 814 6846 814 5440 10.814 4034 814 2629 814 1224 813 9819 813 8415 813 7012 10.813 5608 813 4206 ae 813 2803 4 4 813 1401 ay: 813 0000 Og 812 8599 40.0 10-822 7198 y 812 5798 812 4398 812 2999 812 1600 812 0202 6|10.811 8804 139-8 811 7406 811 6009 811 4612 811 3216 811 1820 10.811 0425 810 9030 810 7635 140.5 140.5 140.5 140.4 140.3 140.4 140.2 140.3 139-5 810 6241] | 810 4847 810 3454 10.810 2061 810 0669 809 9276 ‘809 7885 809 6494 809 5103 139.3 139.2 139. 139.0 138.9 138.9 138.8 138.8 dif. 1’ 809 2323 809 0933 808 9544 808 8155 808 6767 ee tang. TANGENTS, sec. 10.0050067 &c. d.1” 0099) 3 O31 o164 o196 0228 10.0050260 0292 0325 0357 0389 O421 10.0050454 0486 0518 0551 0583 0615 10.0050648 0680 O712 0745 0777 0809 10.0050842 0874 0907 0939 097! 1004 10.0051036 1069 IIO1 1134 1166 1199 10.0051231 1264 1296 132 1362 1394 10.0051 427 1459 1492 1525 1557 1590 10.809 3713}10.0051623 1655 1688 1721 1753 1786 10.808 5379}10.00518 19 902 00 02 WD WW WWW WH WW WWW WW WWW WW WWW WWWWWWWWWWWWWWwww wwrs WW WW WW WH WWE WK Wi Wh WL WH KWL WHWH WH Dd WH bd WH bb WHEL WH co-sin. FA 17 5« Ke 99948769] 8736} LOGARITHMIC SINES, TANGENTS, &c. 211 s° | 171° sin. aif) '’ co-sec. tang. dif. 1'' co-tang. sec es co-sin. 50/lg. 186 2802 135.5|1% 10.813 719519 191 4621 10.808 5379] 10. t0.0051819) 3, 8181 10! ro} 186 4157)! 135.4 813 5843] 191 6008 wise 808 3992 857 at 3 sabia 149} 50 go} 186 5511 135 813 4489} 191 7395 38.6 808 2605 a € 8116} 40} 30} 186 6865 135.3 813 3135] 191 8781 38. 808 1219 1917 3.3 8083} 30 Go| 186 8218 135 813 1782] 192 0168 138.4 807 9832 1950 oe 8050] 20 36 186 9571 135.9| 913.0429) 192 1553)" 138.6 807 8447 1982 33 8018} 10 519.187 0923 135.9| 10 812 9077|9.192 rat 138.4 10.807 7061}10.0052015 33 9-9947985] 9! . 187 2275 135 812 7725) 192 432 385 807 5677 2048 3. 7952} 50 20| 187 3627 135 812 6373) 192 aaa 38 807 4292 2081 i 7919] 40 30} 187 4978 135. 812 5022] 192 7092 1383 807 2908 2114 in 7886! 30] dol 187 6329) 732"') 812 3671] 192 8475 ae 807 1525 2146) 3° 7854] 20 50 187 7679 135.01. 812 2321] 192 9859 38'| _ 807 0141 2179] 3°3 7621] Lo} 92'9.187 9029 135 of 812 0971]9.193 1241 138.3 10.806 8759]10.0052212 3.3 9-9947788] 8! 188 eg 134. 811 9621] 193 2624)" 38 806 7376 2245] 3°3 97551 50 188 172 134 811 8272) 193 4006 38, 806 5994 2278 33 77221 4o 30] 188 3076) 3 811 6924] 193 5387 aa 806 4613 2311) 3°3 7689} 30 Go} 188 4425) 5 4 811 5575] 193 6768|' 385 806 3232 2344] 3° 7656] 20 ‘50 188 5772 134.8 811 4228} 193 8149 pty 806 1851 2376 33 7624] 10 93/19.188 7120 1342710" 811 2880]9.193 9529 oe °| 10.806 0471]10.0052409 3.319:9947991] 7! 188 8467 134. 811 1533] 194 ogog 3 805 9091 2442| 3°3 758] So 188 9813 34. 811 0187] 194 2288 api 9 805 7712 2475 =e 7525} 40 189 115 134. 810 8841 hod 3667 wag 805 6333 2508] 3°3 7492| 30 189 2505] 372, 810 7495] 194 5046 1348} 805 4954 2541] 3"5 Ly 20 ‘50 189 3850 34 8106150} 194 6424 30 805 3576 2574 33 7426] 10 34!19.189 5195 34 10.810 4805]9.194 7802 ae 10.805 2198]10.0052607| 3 3/9.9947393] 6! 189 6539 3x: 810 3461] 1949179 hs 805 0821 2640} 3°3 7360} 50 420] 189 7883 134.3 810 2117} 195 0556 1306 804 9444 2673) 3'3 7327} 40 30 189 9226 134.4 8100774] 195 1932 Ag 804 8068 2706 33 7294] 30 40) 190 0570 134, 809 9430} 195 3308 at 804 6692 2739] 3°3 7261} 20} i99} 190 1912) 37 809 8088} 195 4684 at 804 5316 2772| 3.3 7228] 10 55!19.190 3254 134.|!° 809 6746)9. ee 6059 ale 5|10.804 3941 10.0052805} 3 319.9947 195] 0! TO] 190 4596 134 809 5404] 195 7434 Re. 5| 804 2566 2838] 3 3 7162] 50 120) 190 5938 134 809 4062! 195 8809 1344 804 1191 2871] 3 3 7129] 40 90] 190 7278 ry 809 2722} 196 0183 1353 803 9817 2904 3.3 7096] 30 : 190 8619 ie 809 1381} 196 1556 an 803 8444 2937| 3.3 7063} 20 4 190 9959 “ie 809 0041| 196 2929 7343 803 7071 2970) 3.3 7030} 10 219-19 1299) 33 0 \10- 808 8701]9. 106 4302 13 10.803 5698}10.0053003) 3 3}9.9946997| 4! 10] 191 2638) 35 9} 808 7362] 196 5674 pas 803 4326 3036 3.4 6964] 50 #20) 191 3977| 33.2) 808 6023 196 7046 ee 803 2954 3070] 3°3 6930} 4o 30} 191 5315] 733",| 808 4685] 1968418] 377} 803 1582 3103) 3'3| 6897] 30 0} 191 6653/°33",| 808 3347] 196 9789] 1371} 803 o2rt 3136] 3'3| 6864] 20 50] 191 7991 133. 808 2009] 197 1160 wii 802 8840 3169 3.3 6831] 10 579.191 9328 33,4 10.808 067219.197 2530 aud 10.802 7470]10.0053202 3.3 9-9946798} 3! F '10} 192 0665 133. 807 9335} 197 3g00 erty 802 6100 3235} 33 6765] 50 20] 192 2001] 33'4| 807 7999] 197 5269 teas 802 4731 3268) 3° 6732] 4o] 30} 192 3337|'53°5| 807 6663] 197 6638 1362) 802 3362 3302) 3°3 6698} Jo 140} 192 4672 133 807 5328] 197 8007 96: 802 1993 3335) 33 6665} 20} 50} 192 6007 £33 807 3993] 197 9375 136.8 802 0625 3368 3.3 6632] 10} 819.192 7342 133.4 10.807 2658]9.198 0743 136.811: 801 9257|10.0053401 3.4 9-9946599} 2! | To] 192 8676 ae 807 1324] 198 2111) 94 801 7889 3435 33 6565] 50 20} 193 0010 133.3} 806 9990 198 3478) 32/6] 801 6522 3468) 3 3 6532} 4o} 193 1343|'33°3| 806 8657] 198 4844) 13,'¢) 801 5156 3501] 33) 6499) 30] . 193 2676) 33°3| 806 7324} 198 6210) 34'6) 801 3790 3534) 3; 6466} 20} |50} 193 400 133 806 5991] 198 7576 oe 801 2424 3568 33 6432] 10 199119.193 5341 ae 10.806 465919.198 8941 136. 5/10.801 1059}10.0053601 3.319-9946399} 1! | 193 6672) 33',| 806 3328] 199 0306) 34'5| 800 9694 3634! 3 3 6366} 50 193 8004) 33 806 1996] 199 1671| 36° 7| 800 8329 3667) 3% 6333] 4o 193 9334|133°°| 806 0666] 199 3035] 800 6965 3701} 3.3 6299} So} 194 0665) 33 805 9335 34 4399), 36,3, 800 5601 3734) 3.3 6266} 20} 194 1995) 3) 805 8005} 199 2| 36 3} 800 4238 3767 3.4 6233} 10 019.194 3324) ‘910.805 6676 9 199 71 (ap 10.800 2875]10.0053801! ~~ "|9.9946199} U0! co-sin, late jes sec. co-tang. dif, 1'’ tang. co-sec, 212 LOGARITHMIC SINES, g° a i ae a a eee | ; 1702 | &e. TANGENTS, sin. dif. 1" co-sec, tang. dif.l'’| co-tang Bec. d.J’’| co-sin. 0 f-i9d 33249310808 rBly-199 712830800 2875] t0.00838oH| 53 soda ol "14 Soba 1328 805 4o18| 199 9850|"25:2| 8000150] 3867 ‘* 30] 1947311 ora 805 2689! 200 1211 136. 799 8789 3901 33 fo} 194 8639 my 805 1361] 200 2573 136'4 799 7427 3934 3.4 50] 194 9966)" oat 805 0034] 200 3934/7364] 799 6066 3968) 3"3 1’ }9.195 1293 192-7! 16.804 8707|9.200 5294 "-|10.799 4706] 10.0054001} 5°3|9- 10] 195 2620 i: 804 7380} 200 6654 i, 799 3346 4034 ~ 20] 195 3946 ee 804 6054] 200 8014 135. 799 1986 4068 4 30] 195 5272 ed 804 4728] 200 9373 135.2 799 0627 4101) 3° 40} 195 6597 gk 804 3403] 201 0732 135.2 798 9268 4135 rt So] 195 7922 (39 5 804 2078] 201 2091 135.8 798 7909 4168 3.4 2! 19.195 9247 394 eee a g.201 3449 138.9 yttek: 51]10.0054202) 3"3/9- 10} 196.0571 j 03 9429} 201 480 , 7 194 4235) 4° 20 te 1895 ate 803 grb 201 6163 Hee 308 3835 4269 + 30] 196 3218 aon 803 6782] 201 7520 rp 798 2480 4302 3. 4o| 196 4541 tk 803 5459] 201 8877 135.6 798 1123 4336 o- So} 196 5864 2 803 4136] 202 0233 135.5 797 9767 4369 3. 3! 19.196 7186 192-2) 19.803 2814 g.202 1588 ‘210.797 8412]10.0054403 4 ' 10] 196 8507 ot "803 1493] 202 2944 mia! 797 7056 4436 7 20} 196 9829 aan 803 0171} 202 4299 135.4 797 5701 4470 ite 30} 197 1150/73°"0| 802 8850] 202 5653/35" 797 4347 4503} 4o| 197 2470 a 802 7530] 202 7007], 35" 797 2993 4537 oe So} 197 3790 ane 802 6210] 202 8361 13 : 797 1639 4571 Ee 4! 19.197 5110 ?-O! 19.802 4890|9.202 9714 "3|10.797 0286]10.0054604) 5/19. 10] 197 6429 ph 802 3571] 203 1067 a 796 8933 4638 3 20] 1977748 en 802 2252] 203 2419 135.9 796 7581 4671 3. 30] 197 9066 ae 802 0934] 203 3771 65 796 6229 4705 tp fo 198 0384|'31'8| 801 9616] 203 5123|152"?| 796.4877 4739) 3°3 So} 198 1702 ae 801 8298] 203 6474 135 1 796 3526 4772 “ 5! 19.198 3019 tS -7!10.801 6981|9.203 7825] © rf 10.796 2175]10.0054806 3.4/0, 10] 198 4336 ate 801 5664) 203 9175 re: 796 0825 4840 3.4 20] 198 5652 ote 801 4348] 204 0525 3 795 9475 4873 3.3 30} 198 6968 ney 801 3032] 204 1875 Vi 795 8125 4907 3.4 4o| 198 8284 131.5 801 1716] 204 3224 acre: 795 6776 4941 ie 5o} 198 9599 (Bia 801 ofo1| 204 4573 1342 799 5427 4974 3. 6! 19.199 se ‘are si go87 Ai 5922 1348 08 4078 10.0055008 a4 ; TO} 199 222 , 00 7772| 204 7270 ; 795 2730 5042! 5° bolt tho asis 131-4) 800 6458] 204 8617|134°7 795 1383 5076| 34 30] 199 4855) 737 °3 800 5145} 204 9964 134. 795 0036 5rog| 33 4o| 199 6168 313 800 3832] 205 1311 ae 794 8689 5143 3.4 5o} 199 7481 men 800 251g} 205 2658 134.6 794 7342 5197 3.4 7! 19.199 8793 : 10.800 1207]9.205 4004] _ 4 7'-|10.794 5996]10.0055211 3.4/9, 10] 200 0105 Se 7! 799 9895| 205 5350 ae 794 4650 5244 3.3 20] 200 1417 ot *| 799 8583] 205 6695 134. 794 3305 5278 3.4 30] 200 2728 Ba 799 7272] 205 8040 134. 794 1960 5312| 3-4 4o| 200 4038 Se °| 799 5962] 205 9384 34. 794 0616 5346 a 50] 200 5349 ine 799 4651] 206 0728 34. 793 9272 5380) 3-4 8! 19.200 sae ahh 10.799 3342 Fave ail: 1343 10.793 ne 10.0055413 ae 10} 20079 799 2032] 206 3415 : 793 6585 54 : 20| 200 9277, wi Be 0723} 206 4758 y i 5242 348, 3.4 30] 201 0586 sate 798 9414] 206 6101 13%: 793 3899 5515) 3-4 4o} 201 1894 rie 798 8106] 206 7443 1341 793 a 554 3.4 50) 201 3202), 3. 798 6798} 206 8784) 3 ii 793 1216 5583) 24 9! |9.201 ae Za ihe eh 9-207 ee 341 10.792 a 10.0055617 ae : ro] 201 581 798 41 207 I : 2 8533 5651] 5° 20} 201 7123 Se 708 2877 ee Be ep si 7193 5685 3.4 30] 201 8429 Aa 798 1571] 207 4147 Bho 792 bge3 5719 3.4 4o| 201 9735 : a5 798 0265} 207 5487 33. 792 4513 5753 3.4 och 5o] 202 1040 re 797 8960] 207 6826 ‘ 9 792 3174 5786 3.3 4214 ‘te . 10!|9.202 2345|"~~*~|10.797 7655)9.207 8165 9 10.792 1835]10.0055820 3:4 9.99441 80]50 co-sin. |dif, 1'' sec. co-tang. |dif.1'’ tang. co-sec. {d.1"’ sin. ¥ « LOGARITHMIC SINES, TANGENTS, &e. 213 | = 170° | sin. dif. 1''| co-sec. tang. dif. 1'’} co-tang. sec. d.l”| co-sin. N'o.202 2345 10.797 7655/9.207 8165 10.792 1835]10.0055820} 4 ,|9.9944180|50! bol’ 202 3650 Bee ate 6360” 207 9504)"33°2 ae 0496 5854 a 7 K66| SON lo} 202 4954 dnty 797 5046} 208 0842 733.8 791 9158 5888 34 4112} 40} bo} 202 6258 ae 797 3742| 208 2180 133, 791 7820 5922 3.4 4078} 30} 202 7561 Bo 3| 797 2439] 208 3517 33, 791 6483 5956 vy, 4044] 20} 202 8864 a 797 1136} 208 4854 133, 791 5146 59 35 4o10} 10} 9.203 0167 ae 10.796 9833]9.208 6191 1336 10.791 3809}10.0056025 3.4 9.9943975}49! 203 1469 ty . 796 8531] 208 7527 336 791 2473 6059 3.4 3941} 50} 203 2771 3 796 7229] 208 8863 ; 36 791 1137 6093 3.4 3907] 4of 'o} 203 4072 55 796 5928] 209 0199 133.5 790 9801 6127/ 3, 3873] 3of 203 5373) 150's| 796.4627] 209 1534) 53" y| 790 8466 6161) 34 3839} 20} 203 6673 ae 796 3327] 209 2868 133.5 790 7132 6195 34 3805] 10 203 7974 799-T110.796 2026 9.209 4203 133.3 10.790 5797|10.0056229 au 9.994377 148! 203 9273 wth 796 0727| 209 5536 133.4 790 4464 6263 3.4 3737] 50 204 0573 tb 799 9427| 209 6870 1333 790 3130 6297 34 3703} 40 | 204 1872|°7°2) 795 8128] 209 8203] 33"3| 790 1797 6331] 3% 3669] 30f D| 204 3170] 77°") 795 6830] 209 9536] °33"5| 790 0464 6365} 35 3635} 20 I} 204 4469 9°9| 995 5531] 210 0868 aay 789 9132 6400 3.4 3600} 10 Ng.204 5766 ata 10.795 423419.210 2200 abt 10.789 7800]10.0056434 a4 9.9943566]47/ 204 7064|'99""| 795 2936] 210 3532|'33°1| 789 6468 6468) 3°%| 3532) 50} 204 8361|'99°2| 795 1639) 210 4863|°35°)| 789 5137 6502] 3% 3498} 40} 204 9657] 152°} 795.0343} 2106194) 33°5| 789 3806 6536| 3°%, 3464} 3o} 205 0954 ae 794 9046) 210 7524 a3 789 2476 6570 35 3430] 205 205 2249 ecla 7947751} 210 8854 133 : 789 1146 6605 iA 3395} 10} 205 3545 1325 10.794 6455]9.211 0184 7% ‘°\10.788 9816] 10.0056639 34 9.9943361 46! 205 4840] 159°} 7945160] 211 1513] 139°9} 788 8487 6673) 37 3327] 5of } 205 6134 aoe 794 3866) 211 2842 ae 788 7158 6707) 3°5 3293] 40 | 205 7429 te 794 2571) 211 4170 308 788 5830 6742 aa 3258] 30 § 205 8722|'?9: 794 1278] 211 5498 page 788 4502 6776) 3 4 3224] 20 206 0016 a 793 9984] 211 6826 er 788 3174 6810 3.4 3190] TO 19.206 1309 rea 10.793 8691|9.211 8153 ag 10.788 1847]10.0056844) 3 5 9.9943156)}45! 206 2602/1?" 793 7398] 211 9480 aga 788 0520 6879) 3 4 3121} 50 Py 206 3894 129°7) 793 6106] 212 0807 ae 787 9193 6913 3.4 3087} 40 | 206 5186) 129°? 793 4814] 212 2133 139.6 787 7867 6947) 3.5 3053} 30 206 6477 $20; 793 3523] 212 3459 ns 787 6541 6982} 3 4 3018] 20 206 7765 ees 793 2232] 212 4784 1395 787 5216 7016 3A 2984] Io} 206 9059|+29°*|10.793 0941\9.212 6109 cae 10.787 3891]10.0057050} 3'5|9-.9942950}44! 207 0349 tie 792 9651] 212 7434 vas ‘| 787 2566 7085 34 2915} 50 207 1639|-°9°°| 792 8361| 212 8758 135. 787 1242 7119] 3°5 2881| 4o 207 2929-729} 792 7071] 213 0082 ee 786 9918 7154] 3°% 2846} 30 '} 207 4218 28.9 792 5782) 213 1406 nae, 786 8594 7188 aur 2812} 20 ) 207 5506 ae 792 4494) 213 2729 aa 786 7271 7222| 35 2778! 10 [19.207 6795 pe 10.792 3205]9.213 4051 vas 10.786 5949|10.0057257] 3, 9:9942743}43! Hy} 207 8083 28.8 792 1917] 213 5374 oral 786 4626} - 7291) 35, 2709} 50 bi] 207.9370 oe 792 0630} 213 6696 : eri 386 3304 7326) 3° 2674] 4o i 208 0657 ee 791 9343] 213 8017 re 786 1983 7360 34 2640] 30 I] 208 1944 a 791 8056} 213 9338 3 ; 786 0662 7394] 3.5 2606] 20f | 208 3230 £96 791 6770] 214 065 oat 785 9341 7429 3.4 2571] 10 9.208 4516 128.6 10.791 5484|9.214 1980 tad 10.785 8020] 10.0057463 3.5 9:9942537|42! 208 5802 128.6 791 4198] 214 3300 vate 785 6700 7498 3.4 2502| 5o 208 7087 108 791 2913] 214 4619 ate 785 5381 9532 35 2468] 4o 208 8372|128"9) 791 1628] 214 5939|137"°| 7854061] 7567/37) 2433) 30 208 9656 oa 791 0344] 2147258 3 2 785 2742 7601) 3'5 2399} 20 209 0940 = 790 9060} +214 8576 ea he 785 1424 7636 Be 2364] 10 9.209 2224 +: 10.790 7776|9.214 9894 ape 10.785 0106]10.0057670} 3° /9-9942330}4 1! 209 3507 8 790 6493} 2151212 at 784 8788 7705 35 2295} 50 209 4790 138 790 5210} 215 2529 3 ‘ 784 7471 7740 54 2260} 4o 209 6072 138 ‘ 790 3928} 215 3846 Bhatt 784 6154 7774| 35, 2226} 30 209 7354| on '4| 790 2646] 215 5163)°3°°2| 784 4837 7809! 34) 2T9T} 20 209 8636) 7 3"7| 790 1364) 215 6479/73 °'6| 784 3521 7843) 35 2157] 10 209 9917|*7°""|10.790 0083}9.215 7795|1°*")\10.784 2205 10.0057878 sy 9-9942122 40’ co-sin. (|dif.1’’ sec, co-tang. |dif.1’’ tang. co-sec. |d 1" sin. LOGARITHMIC SINES, go sin. dif 1" 120'19.209 991758 5 ro} 210 1198) 5 210 2479 158.0 210 3759 raped 210 5039) 4 -" 210 6318) | 7-9 9-210 7597] 97 210 8875 211 0154 211 1431 211 2709 211 3986), 2219-211 5263) | 211 6539 211 7815], 211 gogo 212 0365 212 1640 9-212 2914 212 4188 319.213 817 213 9446)" 26'|9.214 5787 214 7054 214 6321 ‘ 214 9587 215 0853} _- 215 2118 9.215 3384 215 4648 215 5913 asiG 126.1 129'19.216 8536 ee dita” Co-sin. 99° 6 10.788 4737|9.217 3556 I 4 10.787 7086]9.218 1417 - 10.785 421319.220 4917 5 ) 110.784 6616}9.221 2724 co-sec. tang. ait jl’ 2 53n-8 (an3 216 8309 a 216 9621, 217 0933 217 2245 789 788 9846 788 8569 788 7291 788 6014 HH ewe 217 4867)" 217 6178 217 7488 217 8798 218 0108 788 3461 788 2185 788 og10 787 9635 787 8360 787 5812 787 4538 787 3265 787 1992 787 0720 218 2726)" 5° 218 4034|120°8 218 7957 130.7 "5 | 10-786 9448)9.218 9264) 30 é 130.6 786 8176 786 6905 786 5634 786 4363 786 3093 219 0570 130.4 219 97031304 220 1009 3°. 3 220 2312 130.3 220 3615 Fe 130.2 785 9285 785 8017 785 6748 785 5481 785 2946 785 1679 785 0413 784 9147 784 7882 220 6219 130.0 130.0 130.0 221 1424 784 5352 784 4087 784 2823 784 1559 784 0296 221 4024 221 5324 129.8 221 7921 221 9220 te % 10.783 g033]9.222 0518 98 922 1815/5797 222 3113 - 783 7771 783 6509 783 5247 783 3985 783 2724 10.783 1464}9.222 8298 783 0203] 222 9594 782 8944 782 7684 782 6425 129. sec. co-tang. jdif. 1" 131.0 130.9 130.9 221 6623/1792 TANGENTS, co-tang. 784 0889 783 9574 783 825 783 6945 783 5631 10.783 4317 783 3004 783 1691 783 0379 782 9067 782.7755 10.782 6444 782 5133 782 3822 782 2512 782 1202 781 9892 10.781 8583 781 7274 784 2205]10.0057878 3 791 130.8 10.781 0736 780 9430 780 8124 780 6818 780 5512 780 4207 10.780 2903 780 I 780 ones 779 8991 779 7088 779 6385 10.779 5083 779 3781 779 2479 779 1178 778 9877 778 8576 10.778 7276 778 5976 778 4676 778 3377 778 2079 778 0780 10.777 9482 9777 8185 777 6687 777 5590 777 4294 777 2998 10.777 1702 777 0406 776 9111 776 7817 776 6522 776 5228 10.776 3935 tang. 7947 7982 8016 8051 10.0058086 8120 8155 8190 8224 8259 10.0058294 8329 8363 8398 8433 8468 10.0058502 8537 8572 8607 8642 8677 10.0058711 8746 8781 8816 8851 8886 10.0058921 8956 8991 9026 9061 9095 10.0059130 9165 200 2035 9270 9306 1070059341 9516 10.0059551 9586 9621 9656 é 9692 9727 10.0059762 &c. . . 2 [@>) 09 49 09 9 09 9 22 9 2 C2 CY G9 G9 G9 U9 Ho WO G2 02 22.02 02 U2 G2 U2 WL U9 U9 U9 U9 G9 G9 U2 G2 G2 G2 02 9 G9 C2 O2 U8 OO U8 9 9 G9 9 Go Go Go G2 2 Le GeOV OV OVD OVOUOWON OVO NOVA D ON OVA OF NO non n ak Anannan kh Anan aonkh and oro on djl! 3.4 co-sin. J | 94g} 1 9-9941 914136 880} 5 LOGARITHMIC SINES, TANGENTS, & Cc. 170° paca alc mee a ee ek ade een mee meee { ; ; s1n, : t — os "19 jo} - 221 2424 i N9.221 3671|*? § 221 4918)! | 221 6164 I} 221 7410 } 221 8656 )] 221 ggo2 217 Soy? 125.8 N 3125.8 dif. scl tf co-sec, tang. dif. 1'’ 10.782 3908)9.223 6065 782 2650} 223 7359)" - 782 re 223 8652 782 0135} 223 9944|" 781 8878] 224 1236 139. 6 781 7621| 224 2528|129-? 10.781 6365]9.224 3819/19 9" 781 510g! 224 Bry1|i 29? 781 3854] 224 6401|!29-° 781 2599} 224 7692|'29'! 781 1344] 224 8982 eae 781 0090} 2250271 eta 10.780 883619.225 1561 abe 5 780 7583] 225 2849 ae? 780 6329} 225 4138 oe 3 780 5077] 225 5426 a 780 3824) 2256714 bit 780 2572] 225 8001 Shy sis 10.780 1320]9.225 9289 See 6 780 0069} 226.0575 bas, 779 8818] 226 1862 ref p 779 7968} 226 3148 sige 779 6317} 226 4433 ele.. 779 5068} 226 5719 10.779 3818)9.226 7004 779 2569] 2268288 779 1320} 2269572 779 0072] 227 0856 778 8824] 227 2140 778 7576) 2273423 1247 10.778 6329!9.227 4706)" Mi - 346 778 5082] 227 5988 : mAb 778 3836] 2277270 rex 778 2590] 227 8552 778 1344) 227 9833 778 0098] 228 1114 10.777 8853/9.228 2395 1293 777 7609 777 6364 777 5120 777 3877 777 2634 228 3675] 228 4955 228 6235 228 7514)! 228 8793 ; 10.777 1391|9.229 0071 777 0148 776 8906 776 7664 776 6423 776 5182 ‘| £9°776 3941)9-229 7735 : 776 2701 776 1461 776 0222 775 8982 779 7744 10.775 6505)9.230 5386 775 5267 775 4029 779 2792 7°75. BOS 224 9682} | 775 0318 9:22. 225 0918} '? co-sin. ———— dif. 1'’ sec. 229 1350 229 2627 229 3905 229 5182 229 6459 229 9OII 230 0287 230 1562 230 2837 : 230 4112 . 230 6660) | 230 7933] 230 9207 231 0479 234 1752], co-tang. £017.2 ney. 10.774 9082 9 231 3024|'?7"? dif, 1" 1 co-tang. 10.776 3935 776 2641 776 1348 776 0056 775 8764 779 7472 10.775 6181 779 4889 779 3599 775 2308 775 1018 774 9729 10.774 8439 774 7151 774 5862 774 4574 774 3286 774 1999 10.774 0711 773 9425 773 8138 773 6852 773 5567 9773 4281 7 10.773 2996 ly aig Me) 773 0428 772 9144 772 7860 772 6577 : 10.772 5294 772 4012 772 2730 772 1448 772 0167 771 8886 o| 10-771 7605 771 6325 771 5045 971 3765 771 2486 771 1207 10.770 9929 770 8650 770 7373 770 6095 770 4818 770 3541 10.770 2265 770 0989 769.9713 769 8438 769 7163 769 5888 10.769 4614 769 3340 769 2067 769 0793 768 9521 768 8248 sid Soe 6976 yf tag, sec, 10.0059973 10.0060008 004 0079 O11g 0149 10.0060185 10.0060397 0432 0467 0503 0538 0574 10.0060609 0644 06380 OFS 0751 0786 10.0060822 0857 0893 0926 0964 0999 10.0061035 10.0061 248 1284 1320 1355 1391 1426 10.0061 462 1495 1534 > RK eG So 2 2 Ga Gs GaGa Ga 0 Go GS 6 2 Go Go G2 GaGa Ge Go Ge Ga ew Go oo GG d, 1" 3.6 co-sin, 5 9: 9940027 30] 6454) 15 '5| 746 3546} 260 7439/1193 Pa ee ee 0940| 3°2) 9000} 20 9.253 7609 10.746 2391\9.260 8625] ' 19.3 739 2568 0978} 3° foaat fo eae ' 10.739 1375]10.0071016 3.8 8 co-sin. {dif 1"' as tit gicind 9.9928984/40' sec. -} " 255 0292 2219-255 1444] 255 2594 255 3745 255 4895 LOGARITHMIC SINES, 255 6045 ; 255 7195 319.255 8344 ‘ 255 9493 256 0641 256 1790 256 2938 256 4085 9-256 5233]! 256 6380 256 7526)" 256 8673 256 981 257 5068 : 9-257 2110 257 3255 257 4400 ‘ 257 5545 257 6689 257 7833 : 9-257 8977 258 1263 258 2406)! 258 3548 258 4690|' 9.258 5832 258 6973 258 8114 258 9255 259 0396 259 1536 9.259 2676 259 3815 259 4955) 259 6094), 259 7232 259 8371 9-259 9509 260 0646 260 1784 ; 260 2921 260 4058 : 260 5194 30'\9.260 6330 co-sin, dif, 1’’ co-sec. 10.746 239119.260 8625 746 1236] 260 9818 746 0082. 745 8928 743 7774 745 6621 tang. 10.745 5468|9.261 5779 : 745 4315] 261 697 745 3163 745 2011 745 0859 744 9708 7447406] 262 4111 744 6255 744 5105 744 3955 744 2805 10.744 1656]9.263 0053 2 263 1240 : 744 0507 743 9359 743 8210 743 7062 743 5915] 263 5987 e 10.743 4767}9.263 7173 743 3620 743 2474 743 1327 743 o181 742 9035} 264 3099 10.742 7890}9.264 4283 742 6745] 264 5467 742 5600 742 4455 742 3311 742 2167 2 10.742 1023}9.265 1382 741 9880} 265 2564 741 8737 741 7594 741 6452 741 5310 ? 10.741 4168]9.265 8470 2 741 3027 741 1886 741 0745 740 9604 740 8464 10.740 7324]9.266 5547 740 6185 740 5045 740 3906 740 2768 740 1629 dsi, 1"? 119.3 119.3 I1Q.1 6) 10-744 8556)9.262 2921 : I 118.6 148.4 118.4 118.2 117-9 I 266 6726 : 79 10.740 0491|9.267 2613 : 739 9354 739 8216 739 7°79 739 5942 739 4806 ""|10.739 3670]9.267 9669 et sec. co-tang. dif. 1" *!10.734 8618 9 a 10.734 1530]10.0072638 TANGENTS, co-tang, 10.739 1375}10.0071016 739 0182 1055 738 8989 1093 738 7796 1132 738 6604 1170 738 5413 1208 10.738 4221]10.0071247 738 3030 1285 738 1839 1324 738 0648 1362 737 9458 1401 737 8268 1439 10.737 7079]10.0071478 737 5889 1516 1555 1593 1632 1671 10.736 9947|10.0071709 736 8760 1748 736 7572 1786 736 6385 1825 736 5199 1864 736 4013 1902 10.736 2827] 10.0071941 736 1641 1979 736 0455 2018 735 9270 2057 735 8086 2095 735 6901 2134 10.735 5717|10.0072173 735 4533 2212 735 3349 2250 735 2166 2289 735 0983 2328 734 9800 2366 10.0072405 734 7436 2Add 734 6254 734 5073 734 3892 734 2711 734 0350 733 9170 733 7990 733 6811 733 5632 10.733 4453 733 3274 733 2096 733 0918 732 9741 732 8563 10.732 7387 732 6210 732 5033 732 3857 732 2682 732 1506 2677 2716 2755 2793 2832 10.0072871 2910 2949 2988 3027 3066 10.0073105 : 10.732 0331|10.0073339 tang. NO ‘oO &c. 9-9928984140)| 39/7" ga46) Bal 8907} 4c) 8868} 3c! 8830} 2¢} 8792} 1¢ 9.928983 39) 8715} 5¢) 8676} 4c. 8638} 3¢ 8599] 2c 8561 "219-9928522|38) 8484] 5c 8445} 4c 8407} 3¢ 8368] 2¢ 8329} tc 9-9928 2911387: Baba 5c 8214] 4c 8175 x 8136} 2¢ 8098} 1¢ .9928059)36; 959 8 re oo 7517) Ae 7478} 3 7440} 2 ihn ‘IC 9-9927362}33: 7323] 5c 7284) acy 7245) 3¢ 7207| 2 7168) 1c) 9-9927 1 29) 3 7090 5¢ 7051} AC NO WOOO 00 DD DODOODO DWODOD DOD DODD WO DD DOD MO DOD DH DO DO DD DO DOE ee 100° LOGARITHMIC SINES, TANGENTS, We. 221 | co-sec, tang. difst”’ 10.739 3670]9.267 9669 739 2534] 268 0844 739 1398 739 0263 738 9128 738 7993 10.738 6859]9-268 6714 738 5725} 268 7887 738 4591 738 3458 738 2325 738 1192 10.738 0059/9-269 3749 737 8927 737 7795 737 6664 737 5532 117, I 737 2140 737 1010 736 9880 736 8751 ; 736 7622 ‘2\10.736 6493}9-270 7786 2| 736 5364] 270 8953 736 4236 Lr 3108 736 1980 736 0853 116.6 : 10.735 9726}9-271 4788) 66 935 8599 271 5954 116 735 7473] 2717120 m66 735 6347] 271 8286). 116.5 735 5221] 271 9451 116.5 : 735 4095| 272 0616)” 10.735 297019-272 1780 735 1845} 272 2945 735 0721 734 9596 734 8472 1106. 734 7349) 2727599). 6 3 “3|10.734 6225/9-272 8762), 6” 116.8 116.9 116.7 116.8 116.4 116.5 116.4 jo) 265 4898 734 5102] 272 9924) 16 Jo} 265 6021 apie 734 3979] 273 1087 eae jo} 265 7143 uate 734 2857| 273.2249 116 ho} 265 8265 aah 7341735} 273 3411 6. ; 734 0613 "64 733 7249 733 6128 733 5008 116.0 273 9219] 16.0 h! 9.266 7232 ei: 10. fo] 266 8352|11?°°} 733 1648 | mee eae, ES! 0529 732 9410 732 8291 7327173 _ 1 DO _ HOO 00 dif.1'') dif. 1" co-sin. sec, co-tang. poo° 169° co-tang, sec. d.1''| eo-sin, 10.732 0331 10.0073339 ai 9.9926661 30! 731 9156) 3378| 39!" "” 6622) 50 731 7981 3417| 35] 6583) 4o 731 6807 3456 3 6544} 30 731 5633 3495] 3°? 6505] 205 731 4459 3534) 3'2) 6466) 10} 10.731 3286}10.0073573 3.619:9926427|29! war 2013 3612 32 6388] 50 731 0940 3651 cir 6349 40} 730 9767 3690 a6 6310} 30 730 8595 3730 3.9 6270] 20} 730 7423 3769 3.9 6231 10} 10.730 6251|10.0073808) 3'7/9.9926192)28/| 730 5080 3847 3 6153} 5of 730 3909 3886 3.9 6114] 4ok 730 2738 3925 ya 6075} 30} 730 1568 3965 3.9 6035} 205 730 0398 4oo4 3.9 5996} 10 10.729 9228]10.0074043 3.9 9-9925997|27! 729 8058 4o82 3.9 5918] 50 729 6889 4121 46 5879} 40 729 5720 4161 3.9 5839] 30 729 4551 4200 3.9 5800} 20 729 3383 4239 ee aay 5761 10 10.729 2214|10.0074278 fa 9-9925722126 729 1047 4318 3. 56821 50 728 9879 4357 36 5643} 4o 728 8712 4 he 5604} 30 728 7545 4436 3.9 5564} 20 728 6378 4475 a6 5525 10 10.728 5212]10.0074514 4% 9-9925486)25! 728 4046 4554 3.0 5446] 5o§ 728 2880 4593 3.9 5407 40} 728.1714 4632 y 5368} 30 728 0549 4672 3.9 5328] 20 727 9384 4711 3.9 5289 = 10.727 8220]10.0074750 ve: 9-9925250}24 7277055 4790 3.9 5210} 5o} 727 5891 4829 £6 5171} 40 727 4728 4869 3.9 531) 30 mo AON 4908 Lo 5092] 20} 727 2401 4948 3.9 5052] ro} 10.727 1238]10.0074987 AiG 9.992501 3)23/ 727 0076 5027 3.9 4973} 50} 726 8913 5066 Lo 4934] 40 726 7791 5106 3.9 4894} 30} 726 6589 5145 Mis 4855} 20 726 5428 a1 §5 3.9 4815} 10 10.726 4267|10.0075224 ne 9-9924776}22! 726 3106 5264 3 4736} 5o} 726 1945 5303 ne 4697) 40 726 0785 5343 3.9 4657} 30} 725 9625 5382 ic 4618} 20} 725 8466 5422 3.9 4578 fool 10.725 7306]10.0075461 £6 9-9924539/2L! 725 6147 5501 Keo 4499; 50 725 4988 B54 3. 725 3830 5580 i i a Pea Hic i 20 725151 O of 10 ‘/110.725 0356}10.0075699 a 9-9924301}20! tang. | PET al!’ aire a s* | 10° sin. 40 9. 267 3945}, 267 5063 267 6180 267 7297 267 8414 5o{ 267 9531 19.268 0647 268 1763 268 2879 268 3994 268 5109 268 6224 9.268 7338 268 8452 268 9566 269 0680 269 1793 269 2906 319.269 4019 269 5131 269 6243 269 7355 269 8467)" o} 269 9978) | 9.270 0689 270 1799 270 2910 270 4020 270 5129 270 6239 5'19.270 7348 270 8457 270 9565 271 0674 271 1782)! 271 2889 9.271 3997 271 5104 * 271 6211 Ds ir he 271 8423 ; 271 9529 719.272 0635 272 1740 272 2845 272 3950 272 5055 272 6159 9-272 7263 272 8366 ; 272 9470 273 0573 273 2778 | 273 1675 49'19.273 3880 oy co-sin. 109° LOGARITHMIC SINES, dif. 1’ co-sec. tang. ihre. 111.8|1°: 732 6055 6055}9.274 9644 1158 111.7 111.7 rat T11.7 111.6 111.6 111.6 t11.5 Tri. TL£1;5 III.4 L114 jig i za YTI.A rare TIt.3 TItss II¥,2 Ill III II itt TI1.¥ mon, NY La — — e) jo LTEO _ ~ je) sO [11.0 aS: 110.9 110.8 110.9 110.8 110.7 110.8 110.7 9| 10-726 6120)9.281 1736) | 9 een ee dit. A 732 4937 732 3820 732 2703 732 1586 732 0469 10.731 9353}9.275 6584 731-8237 73 7121 73t 6006 731 4891 731 3776 10.731 266219.276 3514| 731 1548 731 0434 730 9320 730 8207 730 7094 .276 1205]! 275 0802 715-4 275 1959|, 15.7 275 31 16}! E5 275 4272 275 5428 a 275 7740} 275 8895) 1 276 0050|! es 276 2360) 276 4668)" 276 5829|" 276 6975 iE 3 276 8128 mere 276 9281 6 5 5 5 vee 5.4 5.4 5.4 TANGENTS, co-tang. 10.725 0356 724 9198 724 8041 724 6884 724 5728 724 4572 10.724 3416 724 2260 724 1105 723 9950 723 8795 723 7640 10.723 6486 723 5332 723 4178 723 3025 723 1872 723 0719 10.730 Bobt 9:277 0434 Sy ae Shro. 722 9566 730 4869 730 3757 730 2645 730 1aao 730 0422 277 1586)! 29°F 9936 277 3889 e 277 5041], 277 6192) HAs 10.729 931119.277 7343| 729 8201 729 7090 729 5980 729 4871 729 3761 10.729 2652)9.278 4242 729 1543 729 0435 728 9326 728 8218 728 7III 10.728 6003}9.279 1131 4 728 4896 728 3789 728 2683 728 1577 728 O471 114.9 278 5391 : ny 278 6539) 14.8 278 7687|" rt 278 8835 4. 278 9983 ea} ; 279 4571" 10.727 9365}9.279 8009) | Se 727 8260 7279495 727 6050 727 4945 727 3841 727 1634 727 0530 726 9427 726 8325 726 7299 726 5018 726 3916 726 2815 726 1714 726 0613 10.725 951319. 281 8585 sec, 279 9155 280 6300}! - 10.727 2737|9.280 4878) | 280 6022\|! j 280 7165 i 280 8308 a 280 9451), ; 14.3 281 05 4 rife co-tang. |dif.1" 722 8414 of 10-722 2657 722 1507 722 0356 721 9207 721 8057 721 6907 721 5758 721 4609 721 3461 721 2313 721 1165 721 OO17 10.720 8869 720 7722 720 6575 720 5429 720 4283 720 3137 10.720 1991 720 0845 719 9700 719 8555 719 7411 719 6266 10.719 5122 719 3978 719 2835 10. is 10.718 8264 7487123 718 5980 718 4838 718 3697 ihe 2556 tang. &c. sec. oe je co-sin. ‘ | 10.0075699 9. 24301, 5730 2917” 426 opt 799 5779 a8 5818 5858 Btn] 10.00759 3.9 4.0 4.0 10.0076176 6216 6255 6295 6335 6375 10.0076415 6455 4.0 3.9 4.0 4.0 4.0 4.0 4.0 Mee 4.0 4.0 ta 10.0076654 10. 0076804 6934) 7°, 6974] 15 7014 A® 7094] 7° 7094 10.0077134 4.010 7174 4.0 7214 4 7254) 7 6 4.0 7294 7334 a 10. it bar 4.0 10.0077615 ig. 7655) 7 5 7695 4.0 7739 4ut 7779) 4.6 7816 As 10.0077856 Ae 7896 c 9-9923824)1h 3784 Pa 9-992358 h 3545) 4 u LOGARITHMIC SINES, TAN GENTS, & ’ Cc. 293 a SN A SENT STU Ges Bee 10° CORREA RR nN aE rE hd - dif. 1 co-sec. tang. if, ae 3 ; 169° 019-27 048 : TRE age Sere o° ec, Lo yee Veoh 274 1589 110.0|/? Le ah pee 8585 f 10.718 1415 10.0078098| , _ BL 0} 274 2687 110.0) 295 9333 33) g7ape is 918.0275 it 4.0|9-9921902} 10! o} 274 3786 109.9 a5 282 0865 . 717 9135 81 78| 4-0 1862] 50 (0 274 4886 T1I0O.0 ie By 282 2005 . 717 7995 ang At 1829 40 io] 274 5985 109. ni ye pe 3145 , 717 6555 ashy An 1781} 30] 19.274 7083 109-8) 6.995 9 TJ} 252 4284) 3" 217 S716 85 WG 17411 20} of 274 8182|'09.9) 725 2gr7i9.282 5423) 113.910.7117 4577 arenas lonehee rey 10 274 9280 . 7250 ah 8 t 717 3438 8380 0 1660} ‘ lof 275 0378) 109-8 720] 282 7700/1128! 717 2300 380} 6 16001 Sot jo} 279 pis Poo} ou aoe a3 8838)112°°| a1 160 Et re 1580] 40 Bags 2593/9099) og opao] 283 seegitt3.8| 12 oo3d Seay Ree l9.275 3669|'°9-5| 10.924 633 10.2 3 1114/7 73'-| 716 8886 ees ae eee ee Joh 275 4766|09-7| 9945 + 9.283 2251 ‘710.716 7749] 10.00 B58 4.0 1458} 10 {o} 275 5863 ae bo4 4334 36S ye . 716 6612 Tt 4.0\9 err e 0 275 6 e} 09. 7 2 : 7165 5 es 4a 139 “A fof 275 8054 res 7a Sedu} 283 56031715 4). 716 pit Maaeabce Pes RS e fo} 275 9x50)? 2 716 3202 4.1 297} 30 Bg.276 245 109.5) 5, ce ae 283 7934) 5" 316 2066 a 16 Tabet a6 o| 276 1340 109.5 3 ake 9.283 9070) 3". |10.716 0930]10.00 BG 5 Su 1216} 10 o ie Ata 723 7565 ey aya 3] 715.9795] 79865| 4 2999379 i o} 276 352 9: 4 oO ' 15.8660 4ul 135} 5ol ee 4628 4 i oi 5 247913. a1 7525 376 4.0 1094} 4o Of a7 5717/1094} 793 4283 ae rae 1 715 6390 8087 4.1 oe 30 HM19-276 6811) ?"3 . 715 5256 Ah AD 13] 20 Jo} 276 7904 109.3 ace a 9.284 5878 5 ANG 1S Bia ee Ad 0973} 10 M6 Bo97|"093), 253. 1008h 284 Seugltt34| © Zee 288s 79065) §.0|9-9920953} 6! a 277 0089 199.2 oa 00 284 8146 : . a15 1854 Za ve 0892 aa } 277 1182 109.3 (a gant 284 9279|_ >" Weosat ae 4.0 0851| 4o ) 92977 2274 109.2 A oe I 285 o412 . 514 9588 peri Aa o8r1k30 Hil9.077 3366) 1°9-2 72277261 285 1545 : + 9230] 7 Poon 9-277 3366), 7"1| 10-722 6034}9.28 7148455] ga71 Po} 277 4457/99 599 5543 9-285 2677) | 3",|10.714 7323|10.007931 4.0 0729! 10 P| 277 9549) 107") Lie eh 3 ion | 714 6191 3359 4.19 cab : J} 277 6640|'°9" ! 714 505 4-0 48} 5o | 277 ‘es ae ay oe a at el aid Baas x33 gait ce MOOS has 2778 9.1 ; . | 30 ‘Ig “ue Set 109.0} 4 sea age 285 8335 ‘ ae ae pie 5 0526] 20 278 1001 109.0 ily rs 9 9.285 9466 : 10.714 0534 Pra at 4ul 0486} 10 278 2090 108.9 fet: 999] 286 0596 . 713 404 » 2 4.19 9920445 4! | 278 3179 108-9 a pe on 1726 . Bee 2336 4.0 0404] 5ot 4 278 4268 108.9 a as 286 2856 . tae ; 4 0364] 4o | 278 5357|108-9 ee : a} 286 3986113: 413 Goid 9 Bs fat 03231 30 9-278 6445 108.8}, rh feae 200 51 Poh as: 713 4885 275 Aut 0282] 20 } 278 7533|108-8 721 3555}9.286 62.45| 5 "a|10.713 3755 Pee 9\ 4.0 0241| 10 | 278 8621 {108-8 Lise ae 286 7373) 5.9] 713 2627 2570 | Ail o? oe. 3! |] 278 9709 108.8) 722 1379 2868502] 2°2) 713 1498 ve Li aGokee | 279.0796 108.7 se 0291] 286 9630) “"3| 713 0370 ee 4. orig} 4o }} 279 1883)108°7 720 9204] 287 0758|5)>'5] 712 g2da|10.0079961 Jol 00781 30 9:279 2970 108.7 yia06 eu 287 1886 . ae My tetahinate: 9.9920038} 20 5279 4056 een; 20 5 Ad 9-287 SOTA ig tO-712 0906 10.0080044) 4°! 9:9919997) 10} B79 2142 Soho, eh eet ie 712 5859 ons 4.1 99919956) 2! | | 279 6228 108.6 pes 58} 287 5268 . Sie dats Flee 4.0 9915} 50 279 7314 108.6 Lat b%6 287 6395) 73 @| 712 3605 0166) 4°! 9875} 40 } 279 8399 108.5 bs, a 6} 287 7521 : 512 2479 oe Ast 9834] 30 19-279 9484 108.5 es thes Hah 287 8647 : ro 1388 yey re Hed ts i 280 0569) 108-9 -720 0516}9.287 9773)__ ~"7|10.712 0227]10 So8b28 4.1 9752} 10 280 1653 108.4 Lae 288 0899 : 711 ror . ied 4a 9-9919711 1/ 280 2738 108.5| 7198347} 288 2024 Gil, ake 3976 aoe Aut 96701 50 1 980 3821|108-3 DAF paatedes S49 l119.5|'- THY Coa COTE fabs kame | 280 4905 ope hy. Book 288 4274) 15. 711 5726 O45 4.0 9588] 30 ‘ 9.280 5 88 108.3 719 095 288 5398 12.4 It Ab J2 4ut 9548 20 t . inbeate 10.719 401 29.288 6523 112.5], (oe ee 0493 AE ee co-sin. ({dif.1'' sae: Sas “7 477 oe eae 99919466 qr ang. j{dif.1'’ tang. co-sec, a1” ca ad ae co-sin, dif, dL! sec. roe 10.712 9520)9.295 3489 co-tang, 224 LOGARITHMIC SINES, 11° sin. aie i co-sec. tang. |dif.l"’ 0! 19.280 5988 | 10.719 401219.288 6523 10 f 280 7072084 a5 2928 4 288 7647 ing 20] 280 8154 ran 719 1846} 288 8770 43 4 | 30] 280 9237, 03°)| 719 0763) 288 9894) 15. 40} 281 0319 8. 718 9681] 289 1017 te% 5o} 281 1gorle. Z 718 8599] 289 2140), 1573 1’ |9.281 2483 108 : 10.718 7517}9.289 3263 ae 10] 281 3564 Bis 718 6436} 289 4385 ers & 20} 281 4645 10a" || 718 5355] 289 5507], 15" i So} 281 5726 a 718 4274] 289 6629), |, p40} 281 6806, TP eT 718 3194] 289 7750) |, 50} 281 7887 eae 718 2113} 289 8872 age a 2! 19.281 8967 1° “\10.718 1033/9.289 9993601 10} 282 0046 Sort 7179954] 2901114 (iam BO} 292.1 £30) > = 717 8874] 290 2234 fh ers 30} 282 2205 see 717.7799) 290 3354 hep e 4o| 282 3284) 78 7176716} 290 4474 ees 5o| 282 4362 a, 717 5638] 2905594), ae 3! |9.282 5441} 8 10.717 4559)9-290 6713 7 rd } 10} 282 6519 65. 717 3481} 290 7832 ie 20, 282 7596 4 717 2404] 290 8951 ne 30] 282 8674) 007 717 1326] 291 0070 ay | 40} 282 9751) eee 717 0249} 291 1188] |g P50! 283 0828 gs 716 9172] 291 2306 y 8 4! 19.283 1905, dy, 10.716 8095)9.291 3424 ones 10] 233 2981 ah 716 7o1g) 291 4542/77 20] 283 4057) ph 716 5943] 291 5659 oie 30} 283 5133 sah 716 4867 agt 6776| 2 4o| 283 6209 ak 716 3791] 291 7893 nee So} 283-7284) od | 716 2716} 291 goog ee 5! |9.283 B30) oA 10.716 1641|9.292 0126 ne ro] 283 9433, ale 716 0567) 292 1242 ie 20] 284 0508; a 719 9492| 292 2357 7 16 30} 284 1582) 0 4 715 8418] 292 3473 oor do 284 2656 1077! 715 7344) 292 4588| 7" 5o] 284 373015 °3| 715.6270] 2925703}, nae 6! 19.284 4803 se Ay 10.715 5197|9-292 6817), | 1's FIO] 284 5876) 05.3 715 4124] 292.7932 erie 120} 284 6949 ie 715 3051] 292 9046 A a 30}. 284 8021! pa 719 1979] 293 0160] 553 4o] 284 9093 ,o. 5 719 0907] 293 1273 er e 50} 285 0165) pie ; 7149835] 293 2387 ane” 7! 19.285 ye Th Gis 10.714 8763,9.293 3500) ||", to} 285 2308| 10. >| 714 7692| 293-4612), 1°3 f20} 285 3380 ha 714 6620] 293 5725 a oe 30} 285 4450 Ro 7145550} 293 6837) 4 go) 285552111070) 714 4479) 293 7949]: 11 9 5o} 285 6591) ‘ : 714 3409] 293 9061 aes = 8! }9.285 7661) ce 10.714 2339,9-294 0172 ts 10! 285 och Saale 714 1269 294 1284), 516 20] 285 980r| 66',| 714 0199] 294 2394)... 5 30} 286 0870) a 713 9130} 294 3505 “ we 4o| 286 1939 106.8 713 8061} 294 4616 Leaps 50] 286 3097] .66, 713 6993) 294 5726 eee | 9 19.286 4076 108 g|10-713 592.419.294 6836) || 6 110] 286 5144) 66.8 713 4856} 294 7945 ‘a : H20| 2866212 66. 713 3788] 294 9055 ; ae: 30} 286 72791,56.8| 7132721) 295 0164 ae 4o, 286 8347! a " 713 1653] 295 1273 ay: 5o} 286 9414 713 0586] 295 2381 ‘ 110.8 ait, 1.” co-tang. TANGENTS, Sc. 168° 0 d.l"’ sec. co-sin, 10.711 3477}10.0080534) ¢ | 9-991946 TEP 2300 0575 43 9 711 1230 0616 Ai 711 0106 0657| 45 710 8983 0698) 7, 710 7860 0739 ee 10.710 6737 10.0080780) 44 9-9919220)5 710 5615 0821 e: iia) 710 4493 0862 Ke 710 3371 0903 Ait 710 2250 0944 poe 710 1128 0985 43 10.710 0007|10.0081026 he: 9-9918974 709 8886 1067 re, 8 709 7766 1108 Ae 709 6646 1149 is 709 5526 1190 43 709 4406 1252 ay 10.709 3287]10.0081 273 ne 709 2168 1314 Rey 709 1049 1355 ik 708 9930 1396 a 708 8812 1437 At 708 7694 1478 ms 10.708 6576}10.0081520 4. 708 5458 1561 ste 708 4341 1602 ne 708 3224 1643 ds 708 2107 1684 as 708 0991 1726 ne 10.707 9874|10.0081767 i, 707 8758 1808 a 707 7643 1849 re 707 6527 1891 x 707 5412 1932 ae 707.4297 1973) 7 10.707 3183}10.0082014) 7 707 2068 2056 i 707 0954 2097 oh 706 9840 2138 i 706 8727 2180 Gs 706 7613 Pe ee 10.706 6500]10.0082263) 4°? 706 5388 2304 ve 706 4275 2345 ie 706 3163 2387) 4? 706 2051 2428 af 706 0939 2470 38 10.705 9$28]10.008 2511) 4°! 705 8716 2559) 4:1 705 7606 2594 4.2 705 6495 2635| 4°! 705 5384 2677 4.2 705 4274 2718) a 10.705 3164]10.0082760 "210, 705 2055 2801 4.1 705 0945 2843 4.2 704 9836 2884 ve 704 8727 2926 ie 74) 704 7619 2967 ie 7033) 10.704 651 1]10.0083009) *** 19.991 69911: tang. co-sec. [d.l’’ sin. | ye 29 LOGARITHMIC SINES, TANGENTS, &c. 225 z fae. a 168° sin. dif.1'' co-sec. tang. dif.1''| co-tang. sec, d.l"|} co-sin. | 87 048 aw ee : pet? an a 10. a ae 9: 399 raat 6.811% en a! 10,0083009 4.9\9° 9916991! 50 $987 2613)'068) 512-7387] 295 Pesca elt. Sota] alee 287 3679 106.6 712 6321| 2956813 110.8) 04 3187 3134 ye a = 287 474 7125255] 295 7920)" FO-7) 704 2080 a oA 43% ra Ss. 287 5810 ge 712 4190} 295 9027 BIOT 904 0973 391 Ate hay 0 287 6875)" 6 5|10-712 3125]9.296 0134 1T°-7!10.703 9866| 10.0083 5 in rag! 287 7940 AS 712 2060} 296 1240 110.6 703 S60 ) 3300 wile ene So 287 9005 . 110.7 4.2 iad esd 298) ait ae Me BON 288 113 ae: 711 8867] 296 4558/1 7° ) 703 5442 3405) 4:2 6575 288 2197 ee 711 7803] 296 5664 ae 503 4336 3464] 4 6333 % ; 110 f :: rey 06. 4|1° ae mi 9. At oy ioe agihe Sea 10.0083508 vn 9-9916492|48! 288 5387 an 711 4613 ep Sopa ra a3 ses Ec Ae i a 288 6449 eg 711 3551] 297 0083 110.5 702 9917 3634 Ae 6366 30 288 7512 abs: 711 2488 294 1187], me, 702 8813 3675 ef 6325] 20 288 8574 tos 711 1426] 297 2291| 11° 702 7709 3717 42 6283] 10 9.288 9636 | 0971 10.711 0364/9.297 3395)! 10-4] 10.702 6605]10.0083759} 4°?|9.9916241/47! 289 0697/2°F!} 710.9303] 297 4498|110°3] 702 5502] esas ae 289 1759 Ae 710 8241 19 5601 FEQ.S sie op 3840 41 eee ey 289 2820 ere 710 7180] 297 6704 it0.3 702 3296 3884 42 61 16 30 289 3881) 6 | 7106119} 297 7806 en 3 702 2194 3926 oa 6074} 20 ) an 106.01. 71° 5059] 297 8909 iy 5| 702 1091 3968) % wy 6032| 10} 8 Pee 06.0142" pu mei 9: se van 110-2| 10°70! 2959 10.0084010 479 9-991 5990/40} 289 8121 oe 710 ha 298 aoy4) 0 * Lint =786 ren 4.2 ye x yi 289 9181 BiG 710 0819} 298 3316 T1021 Jor 6684 4135 4.2 5k85 30% 290 0240 05 ? 709 9760] 298 4417 sept 7o1 5583 4197 4-2 5823) 20} 290 1299 mee 709 8701 298 5517 TTO-0} wor 4483 4219 44 57811 10} 9.290 2357 5.9] 19*799 7643)9.298 6618 110-6401 3382 or a gaa is 1573945! | 290 3416 ae 709 6584] 298 7718 Say oI 2282 309| 41 oie é I) 290 4474 eu 709 5526 ne 881811 10°° ue: 1182 rove 4-2 5098 el 290 5532 tie 709 4468] 298 9918 FTO-0) 701 0082 4386| 4°? 5614} 30 2g0 6589 OGa 709 3411} 299 1017 be 3 700 8983 4428 4-2 5572| 20] 290 7646 105.8 709 2354} 299 2117 Sa) 700 7883 4470 4.2 5530] 10 9 a ae ro 10.709 ae 9-299 et ool 10.700 6784]10.008451 2 419: 9915488 /44! 760 709 0240] 2 5686 FAL Ae 291 0817 “Ee! 08 9183 ie a3 oer. os 4587 phe A-2 a 3 291 1873 1086 708 8127] 299 6511 me 700 3489 4638 4-4 5362 301 agi 2929)102"5| 708.7071) 299 7609] °?'a| 700 2391 4680| 4"2} 5320} 20} 291 3985 ee 708 6015] 299 8707 to9.8 700 1293 4722)", 4.2 5278] ro} 9-291 5040 10.708 4960}9.299 9804] , 109-7! 10.700 0196|10.0084764 aa 152361431 291 6095 Apo 708 3905] 300 ogot x07" 699 9099 4806 4.2/9.9? 5194 50} 291 7150 oe 708 2850] 300 1998|'°9'7| 699 8002 4848) 4°? 3183 40 291 8205 faa 708 1795} 300 3095 aie 699 6905 4890 “pe 5110} 3of 291 9259 154 708 0741] 300 4191| 07" 699 5809 4932 ue 5068} 20 292.0313} = 4| 707 9687 300 5288|" ons 699 4712 4974 +2 5026] ro} 9.292 oa 105, 4| 10-707 8633}9-300 6383 a g| 10-699 3617 10.0085016 bee 9.991 4984142" 2 242 ’ 252 3474023] 707 6536] 300 8544 109.2 reed tamedeyr tO Daa ap | 292 4527 +6 707 5473] 300 9670 ante: 699 0330 5142 4-2 4858| 30} 292 5580} 5 707 4420) 301 0764|° 5 698 9236 5185) 49 4815} 20} 292 6632) 0>"3| 707 3368] 301 1859 to 5| 698 8141 5209) 4? 4773} 10} 9-292 7685) | x" 5|10.707 2315)9.301 2954 tod 43°: 698 7046} 10.0085 269 aa 9.991473 1/41! 292 8737 iBerks, (02 1263] 301 4048 mite y 698 5952 531q 4.2 4689} 50 292 9788} 55.5) 7070212], Sor 5142 9: 3 698 4858 5353) 4°? 4647| 4o} 293 0840) °5'5| 706 9160} 3o1 6235 F09-2| 698 3765 53095 we. 4605} 30} 293 1891 boss 706 8109] 301 7328 109.9 698 2672 5437 4.4 4563) 20} 293 2942 as 706 7058] 301 8422 a8 698 1578 5480 ‘s 4520} 10} ie 293 3993 10.706 6007]9.301 9514|*°9'?| 10.698 0486 10.0085522| “°/9.9914478)40! co-sin. j|dif. 1'’ sec co-tang. |dif.1'’ tang. Ducartne al” sin | 226 11° LOGARITHMIC SINES, TANGENTS, Wc. 16), la. 1" co-sin. | sin. i et dif. 1'’ co-sec, tang. co-tang. sec, 20! 9.293 3993 10} 293 5043 20} 293 6093 293 7143 294 3437 294 4485)" 294 5532 9.294 6580 294 7627 294 8674 : co-sin. 101° 10.706 6007}9.301 9514 IT0).0 09.3 10.698 0486 10.0085522 dif. 1" 706 4957| 302 0607 706 3907] 302 1699|'° 3 706 2857} 302 2791 wee 706 1807} 302 3883 ton 9 706 0758} 302 4975 eg 10.705 9709|9.302 6066|'°9 : 2| 705 8660} 302 7157| 109: 705 7612] 302 8248|109" 705 6563} 302 933g)'O9" 705 5515) 303 0429 rey) 705 4468} 303 1519|'09-° 10.705 3420]9.303 2609 Fes 705 2373} 303 3699 ita 705 1326] 303 4788 ee 709 0279] 303 5877 ae 704 9233) 303 6966)'9°°? 5| 704 8186 303 8054) 6 10.704 7141]9.303 9143 aes 704 6095} 304 0231 ae, 704 5050}. 304 1318 ey 704 4004} 304 2406 ae 704 295g} 304 3493 rene 704 1915} 304 4580 mee 10.704 087119.304 5667 mee 703 g826| 304 6754 wo 703 8783] 304 7840 1086 703 7739] 304 8926 aoe 703 6696] 305 0012/! 703 5653 305 1097] 2G 10.703 4610]9.305 2183] 10°" 503 3567] 305 3268]102: 703 2525} 305 4353 703 1483} 305 5437 703 0441] 305 6521 702 9400] 305 7605 , [10-702 835q19.305 8689 702 7318} 305 9773 702 6277] 306 0856 702 5237} 3061939]. ~ 702 4196} 306 sone eS 702 3156] 306 4105/708"5| 693 5895 10.702 211719.306 5187 ay 3 10.693 4813 702 1077| 306 6269 pie 693 3731 693 2649 693 1568 693 0486 692 9405 - 10.692 8325 692 7244 692 6164 692 5084 692 4004 692 2924 10.692 1845 9 692 0766 691 9687 691 8608 691 7530 691 6452 10.691 5374 co-tang. |dif. 1’ ; 697 9393 697 8301 697 7209 697 6117 697 5025 10.597 3934 697 2843 697 1752 697 sa 99 9971 696 B81 10.696 7391 696 6301 696 5212 696 4123 696 3034 696 1946 10.696 0857 695 9769 695 8682 695 7594 695 6507 695 5420 10.695 4333 695 3246 695 2160 695 1074 694 9988 694 8903 10.694 7817 694 6732 694 5647 694 4563 694 3479 694 2395 10.694 1311 694 0227 693 9144 693 806) 693 6978 108.4 108.4 108. 108. 108. 108. 108. 701 4846} 307 2756 : 701 3809] 307 3836] 3" oe 10.700 966119.307 8155 700 8625] 307 .9234).07° 700 7589] 308 2313 lg 700 6553] 308 1392 ee 700 5517} 308 2470 thy 308 3548|1 07" tang. 10.0088073 5564 5606 5648 5691 5733 10.0085775 KAXRRLLARRAD b Web WKHKHKWHHDH 4,9|9°991 3978 4. 10.0086283 43 6326 6495 10.0086538) 4° 10.0086793 6835 6878 6920 6963 7005 10.0087048 7090 7133 7176 7218 7261 10.0087304 7346 7389 7432 7474 7917 10.0087560 7602 7645 7688 7731 7773 10.0087816 7859 7902 7944 7987 8030 Wwwrs Ww Wh Wyn Wh Wh b AALAR AS AR RR R28 5 RRR RRR RRR RR 5S RRR RRR 8585 co-sec. d.1!’ WwwWwrs WWwWwh WWWwh WwWWwWn WWwr 9-99144 8) 4436 401 ] 20} 3886 3844) 38024 3759 37f 9.9913717) i 3674) A) te .991 2606) 9:99 364: 2611 290 25a 2486 "519-991 244¢ 230f singe sis Mo 227 C SINES, TANGENTS, LOGARITHMI 168° " -sin. a" tang. dif.l''| co-tang. saith il z ae 30! ‘ ” ec, 2 eins dif. 1"') co-s an 10.691 5374|10. shag 23, '9. eae i! ney : 16553 10.700 3.47}9.308 4 4 10 691 4296 ek | 4.3 184t| 4o | 9.299 758 103.5 700 2412) 308 ‘i, 6g1 3219 8159 4.2 1799} 30 | 2997 103.4 700 1378] 308 iis 3 107-7 6g1 2142 Pets 4.3 1756} 20 299 She 103. ; 700 0343) 308 ee 07 691 1065 ae pee ievteas 299 9697 103.4 699 9309} 308 89 O7. 690 9988 hee 4.3 9.991 1670]29! e009! 1034. 6998276] 309 0012 107-8 10.690 891 2|10.0088330) 4°53 1627] 50 1724 03.41 rida eh ager st 690 7836 eareeownt “ea tee } 9.300 2758) 3.3 699 6209] 309 2164 107.6 0 6760 8416 4.3 1| 30 ‘b 300 ‘gg 103. 3 699 5176 309 2 6 107.6 690 5684 rie 4.3 1498 20 9300 4824) 3 3 699 4143] 309 431 107.5 690 4609 8 214.3 1455} 10 | 300 5859/03", 3111] 309 5391) 7 50's 3534 O43 2|28! 8 pi 66) 0 22| 690 nal cedars ) 300 68 9 103.2 699 2079 309 64 107. 10. 690 2459 TOx 0088 3 4.3 369 5o {300 §253/!03|10, 699 104719-309 754115 97.5 Or ieee” ooidnhiet We aoe } 9.300 aes 103.2 699 0015] 309 861 107 690 0310 867 4.3 1283] 30 |” 300 9985) 103.2 698 8983} 309 9690 107.4 689 9236 8717 4.3 1240| 20 i 3or 1017) 635 9 310 0764 8760 43 a tt 48) 103.1] 998 7952 Be ay alee Coenen BN Meu $e wor 2048) 3.1 698 6921) Sr 1838), 689 7088 46 4°3 9.9911 154127! is oa 3°79| 103.0 698 5891} 310 3285 107.3} 14, 689 6015 a gicig 4.3 Ir11| 50 $30! 41091503. fay eter Oo ae dead tee 689 4941 eave onli: 40 [9-301 51401503. 628 aBeo| 31o6r32/2°7| | 684 3668 sce 43| — lonsh So t _ 301 6170 103.0 698 2800] 310 6132 107. 689 2796 sen 4.3 0982| 20 4 301 7200 102-9 698 1771] 3107204 07. 689 1723 ce 4.3 0939] 10 Bor 8229) 43.6 698 0741| 310 8277 107 689 0651 7 4 4.3 9. opr ohgh 26! meee 999 rong} 6979712] 310 9349 707-2! 10.688 9579|10.008910 4.3 31 5of Me 2102.9), edly a har beng nn Mlben 8507 Jrhhel ee eka 4o 39.302 I. jis 102.9 697 7654] 311 et 107-1) 688 7436 7333 4.3 0767] 30 i 902 2346) 55.8 697 6626] 3rr 25 107.1! 688 6365 hea Aaa 0723] 20 E 302 3374) 558 697 5598] 311 3635 107-1) 688 5294 9277) 4.3 0680} 10} 4 302 4402) 5.8 697 4570] 311 4706 107. 688 4223 a 43 9.9910637]25! L302 5430 102.8 697 3542| 311 5777 Lon, *|10.688 3152]10.0089 4.3 0594] 50 F202 0458 aoa.7h. 677 raaal” 311 y918|1°7| 688 2082) 9406 431 O88if'40 3 9-302 7485) 102.7 697 1488] 311 ree 107.0 688 1012 ae 4.3 0508] 30 i 302 8512 102. 697 0461 311 Oe 107 687 9942 ee 4.4 0464] 20 gf 302 9939) 55.5 696 9434] 31200 tae : 687 8873 75 4.3 0421] 10 $303 0566) 59.6 696 8408] 312 1127 107. 687 7803 9279! 4.3 9.9910378]24! } 303 1599| 0 on 696 7382) 312 2197) 07" 9110.687 6734|t0 Ber 4.3 0335] 50 & $03 2618| 5, 6 FerS9 620019 322 330015 5 687 5665 FO8t al te Seanad Ab 9.303 3644| 0 2.5 696 5331] 312 43 3 106. 687 4597 aes 4.4 0248} 30 y 303 4 B56 696 4305| 312 540 106. 687 3528 Vs 5 4.3 0205] 20 2 303 5695 02.5 696 3280] 312 6472 106.8 687 2460 2535 4.3 0162] 10} 303 6720 102.5 696 2255] 312 re 106.8 687 1392 831 4.3 9.99101 19]23 fi 303 7745 102.4 696 1231} 312 eee! 06.7 7|10.687 0325}10.0089 4.4 0079 50 #303 8769) 655 10.696 0206|9-312 791 06.8)" 686 9257 2 4.3 9-9910032] 40 15 303.9794) 5 55. 4 695 9182} 313.0743}, 06.7} 696 8190|10.00899 | 4:3 9.9909989] 30} : 304 0818} 054 695 8158} 313 1810 106.7) 686 7123/10. ign 4.4 9945} 20} 304 1842 102.3 695 7135] 313 2877 106.6 686 6057 oo 4.3 9902} 10} #) 304 2865) 107 695 6111] 313 3943 106-71. 686 aoen 0098} 4"3 9909850122 i 304 3889 102.3 695 5088 313 5o1o 106.6 10.686 3924 LO: ager 4.4 ri 9815 5o} | 304 491 102.21 56, 695 4066}9.313 6076 106.6 686 2858 OF 3 4.3 9772| 40 7.304 5934 02.3 695 3043 313 7142 106. 686 1793 pai 4.3 9729 30 B 304 6957] 5 5 695 2021] 313 aie 106-6) 696 0727 03.5 4.4 9685] 20 ? 304 7979 9:9 695 0999] 313 7355 106.5) gg5 9662 0368 4.3 9642| 10 H 304 3 694 9977 314 ote 106.5 685 8597 0) 4 4.4 9.9909598 2)! Hg) 0023) 5" 694 8955] 314 1403) e's 10.685 7532|10. ppeveas 4.3/7°77 0555] 50 fee 1042 |r09.1 sy) eT Rae a ark i 9512} 40] 7-305 2066) 694 6913} 314 3532) 6 685 5403 a 4.4 9468} 30 1 305 30 87\ 0 19-1! 694 5892 314 4597 106.4) gg5 4339 05 5 4.3 9425} 20 a 305 4108 102.1 694 4871] 314 5661 106.3 685 3276 ONT Ad 9381} 10 d 305.5129) 65/6 694 3851] 3146724 106.4] 685 oar0 gk, 4.3 9.9909338;20! 4 305 6149 102.0 69 4 2831) 3147788 106.3 10.685 1149}10.0090 ON bie — : 305 7169 LO9-0 10. Bind 18ti 9: 314 8851 Ps et al” sin. >. 305 8189 dif.’ tang. co-sec. ” sec, poriang 78° coins eo-sin, dif. 1 aliens : oc an Seta Me lion aca | LOGARITHMIC SINES, 11° date! sin, p40! 9.305 8189) 69.0 , 10] 305 9209) 20} 306.0228 f 30] 306 1247 ? 40} 306 2266)1° "8 50] 306 3984] °° 141!19.306 4303) 1°12 f10! 306 5321 20! 306 6339 1 30} 306 7356 | 40} 306 8373 150} 306 9391 42"\9.307 0407 10} 307 1424 20} 307 2440 | 30} 307 3456 40] 307 4472 Bo} 307 5488) 1° | 2 (43/19.307 6503 a a 10] 3077518 20] 307 8533 30] 307 9548 140; 305 0562 P50} 308 1576, 44'19.308 2590) | 308 3604), 20] 308 4617\" 30] 308 5630 | 40] 308 6643), 5ol 308 7656 F 45!19,308 8668 : 10} 308 9680} , 20] 309 0692 : So] 309 1704 40] 309 2715 Se} 309 3726), 6, j46'19.309 4737 a 10] 309 5748), 6 20} 309g 6759|1° ; | 30] 309 7769 40} 309 8779 150} 309 9788), 47"\9.310 0798 So Io} 310 1807 20] 310 2816 30] 310 3825 ; 40) 310 4833 ; $50) 310 5841], 143/\9.310 6849, 110} 310 7857) 120} 310 8864), 30] 310 9872), 40] 311 0879 150} 311 1886, | 149/\9.311 2892 10} 3114 3898 1201 311 4904 : So} 311 Sgro}, 140) 311 6916) So] 311 7921], pou 9: 311 8926 eb OY IOl. j IOL.7 IO1.7 101.8 101.6 101.7 101.6 101.6 101.6 101-5 IOI-5 101-4 IO1I-4 |IO1 4 ol 4 co-sin. 101° co-sec. tang. 633 9772 693 8753 693 7734 693 6716 : 10.693 5697}9.315 5226 693 4679} 315 6288]! 693 3661} 315 7349|* 693 2644] 315 8410 dif. 1"’ —_— 106.2 106.1 693 1627} 315 9471 a 693 o609} 316 0532 10.692 9593}9.316 1592 692 8576} 316 2652 692 7560] 316 3712 692 6544] 316 4772 692 5528} 316 5832], 692 4512] 316 6891 | 10. 6s 3497|9.316 7980]! 692 2482 692 1467 692 0452 691 9438 691 8424 I I 10.691 patel eave - aig 6g1 63 691 aes 691 4370 691 3357 691 2344 ?!10.691 1332|9.318 0640} | 691 0320} 318 1696] * 690 9308} 318 2751), 690 8296} 318 38071! 690 7285} 318 4862 690 6274] 318 5917)*°; ‘ 917|105.5] 19.68; 3098 10.690 5263}9.318 6972} 690 4252} 318 8026] | 690 3241 690 2231] 319 0135) 690 1221] 319 1188 690 0212] 319 22421, 10.689 9202}9.319 3295 689 8193} 319 £349 689 7184] 319 5401 06. fe) 106.0 106.0 106.9 oo 103.9 TANGENTS, sain 10.685 I 1149 685 0086 684 9023 684 7960 684 6898 684 58.36 "110.684 4774 684 3712 684 2651 684 1590 684 0529 683 9468 10.683 8408 683 7348 683 6288 683 5228 683 4168 683 3109 10.683 2050 683 ogg 682 9933 682 8875 682 7816 682 6759 7 10.682 5701 682 4644 682 3587 682 2530 682 1473 682 0417 ‘4110.681 9360 10 318 9081) | 105.2 689 6175} 319 6454|'° a 689 5167] 319 7507 689 4159] 319 8559), 10. 684 315119.319 9611 689 2143] 320 06621" 689 1136 689 0128 688 g121 688 8114 ‘ 10.688 7108|9.320 5918) | 688 6102} 320 6968}! : 688 5096] 320 8018 681 8304 681 7249 681 6193 681 5138 681 4083 681 1974 681 og1 680 9665 680 8812 680 7758 10.680 6705 680 5651 680 4599 680 3546 680 2493 680 1441 2 10.680 0389 679 9338 679 8286 679 7235 679 6184 679 5133 oe 10.679 4082 688 4ogo] 320 9068|'° 688 3084] 321 O117 688 no70 321 1167]: 10.688 107419.321 2216 sec. .co-tang. 105.0 104.9 dif. 1" i 679 3032 679 1982 79 0932 678 9883 678 8833 10. 678 7784 tang. sec, 10. 0090662 10. sitet 0967 140 10.0091447 1490 2190 10. wiooaitn 2278 10. an 2542 2586 262 2675] 44 2717| 4 ee 805 10. eva 3070 10.0093290 co-sec, &c. 16 co-sin. 4A 9509838 ‘ata 1” 4.3 4. 8 e 9: 990858 781¢ 4 $ 7 9907768 au 9.9907502 : 749€ i 449-9900 4.4 : dl’ 1” | 5 I § | 9: 9909095) 4.4 9033, : LOGARITHMIC SINES, TANGENTS, &c. 229 j11° 168° sin. dif. 1 co-sec tang. dif.1''| co-tang. sec. d.l”| co-sin 50! SII #920 10.688 1074]9.321 2216 10.678 7784 10.0093290| , , 9. 06710] 10/4 Tol’ 311 9931/20] 688 oob9)” 32x 3265|'049| 648 6735, 3354) 44 79 866) 50 20} 312 0935 ete 687 9065} 321 4314 1049 678 5686 3378 a5 6622] Go} Bec Shs] Saeed ees cy ae 312 3948 100.4 687 6053] Sar 7458 roeg| 678.2542! 3511 4°41 6489) 10} pi ial OS? ep aah Oe atoms capor eel 312 6958110 aa 30 Stee 1047] Gr 9399 3640/44| 6350) 40 319 7961|7°°| 684 203g] 322 1648)104-7| 647 8352 36871441 6313) 30 312 263 100-2] 6B 1635] 302 2695|'°47| 649 7305 3732141 62681 20h 312 9966/03) 684 034) 322 37421 !47] 699 6238 3776144] 620d) r0l 9.313 0968 ke 10.686 9032|9.322 4788 ey 6|10-677 5212/10.0093820 # ; 9-99061 80} 8! 313 2671|'°2"| G86 7029] 32a 68601045] 677.5120] 39091421 Goo aol 313 39732] 686 027] 322 7926|"045| 67 2074) 30531 4-4| oda] 30] 313 Hee FOO-T) 686 3026 322 bear! I 104.5 659 aks 3 7 4.4 6003} 20 313 de 1001} 686 4on5| 323 0016)! dee 646 99 984 Oat ay 5959} 10} 9.313 6976 es 10.686 3024}9.323 1061) 104.5]1° 676 8939,10.0094086 LA? 9905914] 7! sraBereltoo| Gye 0nd] 323 roa 5] OTe 41144) lela 313 Ars 100-0} 686 0024} 323 4195)" ae 676 380% 4219 a 5781] 30 314 opp |!02-9) 685 go24| 323 528910441 646 AnGr 4263| 4:41 5934] 20) 314 o76 eb 685 Jo24 323 62631! coa.4 676 3717 4307 i; : 5693] 10 9.314 2975 ae 10.685 7025|9.323 7327|.° 104.3 10.676 2673) 10. page?) LAG beat a 54403] 99 Goscoe| sedoaslO43| Greece] 4acrl42]— Sebal ao 314 5971| 97°} 685 goag_ 324 0456043] 675.9544, 4485/44). 5515) 30 314 6969 99:8 685 303° 324 1499 104.3 675 gr01 4529 4.4 5471] 20 314 poe es 685 2033} 324 254; a5 3 675 7459 4574 ve 5426] 10§ 9.314 8965 nee 10.685 1035}9.324 3584 a. : 10.675 bre 10. aegis 45 gee 4 B22] Siar esol Seal eed Bol 315 19571 99°7| 684 8043| 324 6709|104-?| 65 3291 4752 v y 5248| 30 Yo} 315 2954 99-7} 6847046] 3247750 bods! 675 fc 4796} “75 5204] 20 So} 315 3951) 99°27) 684 6049] 324 8791 eet 675 1209 4841 As 5159} 10 6 4 315 4947 9.3 10.684 5053 9.324 9832 ted. : 10.675 0168|10.0094885 LA\F- eae y fol 3136555] 99-5) 684.3064] 305 xoy3|'O49| 69a bo8] 4rd] 4 S020 do Bo 315 7535 99-6} 684 2065] 325 2953 fay 674 7047 5019 ¥ 4981| 30} fol 315 8930| 99->| 684 1070] 325 3993/'0%°| 674 6007 5063/44} 4937] 20] Do} 315 9926 99:6 684 0074] 325 5033 eae 674 4967 5108 t 4892| 10} 79.316 og21 99-9| 10.683 9079)9.325 6073 104-9! 10.674 3927|10. 0095152 519: 9904848] 3! to} 316 1915 99-4) 683 $064 325 7112 non 674 2888 5197 iy 4803} 5o 20 316 2910 99°9} 683 7090} 325 8151/"03°9| 674 1849 5dr 43 4759) 40 30] 316 3904] 99-4} 683 6096] 325 grg0|193°2| 674 0810 5286| 775) 4714) 30] fo] 316 4898 99-4) 6835102] 326.0228 ar 673 9772 5331 LA 4669] 20 50} 316 5892| 99-4) 683 4108] 326 1267|'03°9| 673 8733 5375 45), 4625} 10} '8l19.316 6885 998 10.683 3115}9.326 9305}! 103.8] 20-073 7695 eat ei 4A a of | ig ogo cae ee Seca eo] aE Bo] 316 9864] 99°2| 683 0136] 3265418] °3'7| 673 4582 5554) 7 4446| 30 fo 317 0857| 993) 682 9143] 326 6455|°5°7| 673 3545 5598, 44) 4402] 29] 90} 317 1849] 97°°) 682 8151] 326 7492 ae 673 2508 5643 43 4357} 10} 99.317 2841 cs 10.682 7159]9.326 8529 eae 10.673 1471|10. ae a 4.49 Irate 4 : 2 Oo i 97 5 oN gabe eos hg) eto Bh fa) 08 30] 3175816] 99°'| 682 4184] 327 1638 672 8362 5829) 75 4178} 30 40| 317 6807| 97°") 682 3193] 327 2674] | £03,6 672 7326 5867 ‘4 4133} 20 Sol 317.7998) 99°] 6822202] 327 3710)" sa 672 6290 5911 45 4089} 10 09.317 8789) 99°"! 10.682 1211|9.327 ish 109-9) 10,672 Boe5 pence 9-9904044| 0! [230 — | 120° LOGARITHMIC SINES, sin. for 9.317 8789 H IO 120! 3180770 § 30] 318 1760 318 2749 ? ; 20) 318 373g) 4O 2! 9. 4 10 13! 19.319 6581) 7 F rol 319 7567 ? : 20 9 I 30] 319 9539 i 4O 318 9671 319 0659 319 1647 319 2634 319 3621 9 319 4608 319 5595 319 8553 320 0525 5o 320 3480 320 4464 320 5440] ? 320 6434 9 320 7417) 9 1 5! 19.320 8400 10] 320 9384 9 20| 321 0367 A 30] 321 1350 4o| 321 2333 S50) 321 3315 I fo | 8! 19.322 6066 F 9! 19.323 1938) 323 2916) 9 323 3894] ? 110|9.323 7802 6! [9.321 4297 ? 321 5279 9 321 6261 321 7243 321 8224 321 9205 7 9.322 0186 9 fro} 3221167 Be | 20 322 2147 30] 3223127 322 4107 5o| 322 5084 322 7046) 322 8025) IO 322 9003| 9 322 9982 323 0950 323 4871 323 5848 323 6825 co-sin. 390 1510) 2 | 4! 19.320 2495 102° dif, 1"' 317 9780) 7 oF 99-0 99.0 oO. 8 8 8 8 8 8 8 8. 8 8 8 8 8 8 98. 98.2 8.2 difd'/ co-sec, tang. 10.682 121 119.327 4745] 3 5)10.672 5255 10.0095956 682 0220! 3275780 681 9230] 327 6815 681 8240} 327 7850 681 7251] 327 8885 681 6261} 327 9919 Si 10.681 527219.328 0953 681 4283) 328 1987 681 5294! 328 3oar 681 2305; 328 4054 681 1317} 328 5087 681 0329; 328 6120 10.680 934119.328 7153 680 8353] 328 8185 680 7366] 328 9218|- 680 6379] 329 0250 680 5392] 329 1282 680 4405} 329 2313 10.680 3419/9.329 3345 680 2433) 329 4376 680 1447} 329 5407 680 0461} 329 6437 679 9475| 329 7468 679 8490; 329 8498 10.679 7505]9.329 9528 679 6520] 330 0558 679 5536] 330 1588 679 4551 679 3567| 330 3646 679 2583} 330 4675 10.679 1600|9.330 5704 she 679 0616) 330 6732 678 9633} 330 7761 678 8650] 330 8789 678 7667| 330 9817 678 6685} 331 0844 678 4721 678 3739 678 2757| 331 4952 678 1776] 331 5979 : 678 0795} 331 7005 10.677 9814}9.331 8031 a 677 8833] 331 9057 677 7853} 332 0083 677 6873) 332 1108 677 5893} 332 2133 677 4913] 332 3158 10.677 3934)9.332 4183], 677 2954] 332 5207 677 1975} 332 6232 677 0997| 332 7256 677 0018} 332 8280 676 9040} 332 9303 “ 10.676 8062}9.333 0327 676 7084, 333 1350 676 6106; 333 2373 676 5129] 333 3396 676 4152) 333 4418 676 3175} 333 5440 10.676 2198!9.333 6463 - $C. co-tang. 330 2617 : 331 3926) | dif.1'’ 103.5 ~ 1035 103.4 103.4 103.4 103.3 103.3 103.3 103.3 03. 103.1 103.0 103.1 103.0 Ve te 103.0 103.0 102.9 102.9 102.8 102.9 102.8 102.8 102.7 TANGENTS, co-tang. 672 4220 672 3185 672 2150 672 1115 672 0081 10.671 9047 671 8013 671 6979 671 5946 671 4913 671 3880 4 10.671 2847 671 1815 671 0782 670 9750 670 8718 670 7687 ; 10.670 6655 670 5624 670 4593 670 3563 670 2532 670 1502 10.670 0472 669 9442 669 8412 669 7383 669 6354 669 5325 10.669 4296 669 3268 669 2239 669 1211 669 0183 668 9156 eh 70,668.81 28 102.6 . 102.6 . . . . . I I I I I + a 2) 2 2 2 2 2 2 3 0 oO O ce) O oO 16) ie) I 5 5 5 5 4 5 4 102.4 103.3 2.3 102.3 3 . . . . . . oO 02 102 102.2 102.2 TO2. dif 1" 668 7101 668 6074 668 5048 668 4021 668 2995 10.668 ee 668 0943 667 9917 667 8892 667 7867 667 6842 10.667 5817 667 4793 667 3768 667 2744 667 1720 667 0697 10.666 9673 666 8650 666 7627 666 6604 666 5582 666 4560 10.666 3537 tang, sec. 6001 6046 6090 6135 6180 10.00962.25 6270 6314 6359 6404 5691 10.00 653 6584 6629 6673 6718 10.0096763 6808 6853 6898 6943 6988 10.0097033 7078 71 aS 7168 py ie 7258 10.0097303 7349 7394 7439 7484 7529 10.0097574 7619 7664 7710 7799 7800 10.0097845 8 10.0098 117 8162 8207 8252 8208 8373 10.0098388 8434 8479 8524 8570 8615 10.0098661 co-sec. SO AAARAARARARRAR RAR RARARRARRAARARRARARAR RAR &e. ‘) co-sin. > . 3192 3102 Orn OVOWN OVO ROT Or nn OV OPOV OTL, OO Or Or BR "£19-9902967 : 2922 2832 2742 D OVOr Ov OA OV ON 2651 2561 2336 2.200 "r19-9902155 21 EO 1929 “519-990 1793 1748 319-990 1476 AnNAaAABDANAAAAAAAAAAnNaAaADnnananan KQADARARAAAARAAARARARARRA pe sin, 1 2064} . 2019} 30 1974] 20) O44 50) 50} 2606} 40 "5 19-9903506}58)I, j 3461} Se "5 19:9903237 7! 3147} 4 2877] 40 27871 20) "319-9902697)50! ul 2516 20] 2471 . 10) "> |9.9902426}54! é 2381} 459) 2290} 30} 2245] 20 1883/52! 1838] 50 1702} 2 1657] 10 1612)514 1566) 50} 1521! Zo} 1430 20 1385} | LO 9-9901339)51 LOGARITHM IC SINES, TANGENTS, &c. 231 12° } sin dif.1"' we . uf. — CY " io! 323 78 ca ell a Pita ta bites 5S gpd, § sec. d.l"| co-sin .323 7802 10.676 2198]9.333 6463 Sti OS ead a = 10 323 8778 rik 676 1222 333 7484|10?°) i se Sef! Mae tort 45 9-990133g9}50/] $90] 323.9755 974 | 676.0245] 333 8506|705"2| 666 1494 Sas Ma So Bo} 324.0731 278) 675 9269] 333 95a8),5."7} 666 aes Be kerid ang eee ‘40 324 1707 a3 675 8293] 334 0549 102.1} ger ods ri 45 1203} 30 ad 324 2682 97.5 675 7318 334 1570 [02.1 665 8430 8888 4.6 1158] 20% [19-324 3657 GG 10.675 6343}9.334 2591 102.1) 4 665 7Abo| FoibodB633 aS II12| 10 Ho} 324 4633) 27°, | 675 5367] 334 3614), 50°0) 665 638 IEE $.619 92 OTE | 20} 324 5607) 37") 675 4393) 334 4631) 50°] 665 fc Fe) Bh Beales [30] 324 6582] 97°7 | 675 3418] 334 5659] '°0"") 665 Taal ms Seka ¥ ehel ae Mo] 324 7556] 27°2) 675 2444] 334 6671] °°] 665 332 OED ic ete fot Bade [50 324 8531 fe 675 1469] 334 7691 102.0} ger 3309 a 46 0885} 20] 2N19.324 9509 67.3 10.675 0495|9.334 8711/12"? 10.665 1289]10.00 ie 4.9 ope a [To} 325 0478 97-4 674 95221 334 9730/19} 665 0270 ee 55| 4-6 9-9900794)48"} /20 325 1452 °3 674 8548] 335 0749 101-9} 66 ooh 9292 as 0748} 5o} (30 325 2425 9 3 674 7575 335 1768 Io! 9 664 353 2297 4 6 0703 4o} Mo] 325 3398) 97°3| 674 6609} 335 27861015] 664 ree eA eA ia be pgp 325 4371 97°3 | 674 5629] 335 3805]118) 664 br95 eae iy! wpeedl 3if9-325 5344] 97" | 10.674 4650]9.335 4823 HOB eh ney Serle Geet LAlSaBORE STATE ‘10 305 6316 Les 674 3684 335 5841 101.8 664 Ars ’ ane 4.6 9.990052) 47'} fro} 325 7988) 97° | 674 2719] 335 6859 POLS egg deed ot eer alo % Mecalal 30 325 8260 97-2 674 1740 335 7876 T 664 2124 ae 45 ceed 4O Mo} 325.9232] 97-7) 674.0768) 335 8893/101-7) 664 1107 SORE |. yeaaalaet 2 AS 97-1 673 9797| 335 g910]-°''7| 664 o0go : onl 4:9 z ; ad oe eg 1174 97-1 10.673 882619.336 0927] °° "7!10.663 9073}10.00 aed 4.6 OP ean 10 $26 2145 Lei 673 7855] 336 1944 101-7\" 663 Bots 0099799) 7 6 9-9900247|46! ho} 336 3116] 97-1 | 673 6884} 336 2960],01°°] 663 7040 979791 a5 ere Bo} 326 4087] 97°% | 673 5913] 336 3977/1917) 663 Goad BAA Bl Capa tee fo} 326 5057 57.0| 673.4943) 336 4993 TOr-O} 663 5007 236 46 heh oat 27 on | 1, 075, 2975: 336 6008 101-51 663 3992| 10.00 Pee a. Med Sef 5i}9.326 6997| 27° | 10.673 3003}9.336 7024 101-6) 663 522 6lioo:eocon| 40\0 ceeocn S45" fo} 326 79661 9°9| - 673 2034)” 336 B039)'%'3] 663 1961] 0073] 46 99899973 49 Ro} 326 8936] 27°) | 673 1064] 336 9054 101-5) 663 0646 007814.) Panel vel 0 326 9905 96.9 673 0095 337 0069 101-5 ech, 9931 0164 45 7536 4o} 50 a, eas G68 Wy.’ boa Seale 324-3080 tons] 662 8916 o210| 46 9790 aA i, 6.8 72 8157| 337 209 ‘ 662 4-6 ; i paar 2811 905 ore rely. 37 0 ord s.8b i ooxondo 4 Poot ie 6. 72 0221 7 4429 . 662 5873 nae 4.5|7" f 7 272 25.3 672 4285] 337 6154 ah eh ses O19 4.6 8, aa 27 ; 72 3317) 337 7168)" 662 2832 | 4-6 F 0 327 7650 7 672 2350} 337 8181 101.3 669 ‘Bie eee 4-6 921) ea] 719.327 8617] 72°! |10.672 138319.337 9194 TOT.91 5.662 0806110 ban| 4:6 aha fo} 327 9584 po7 672 0416] 338 0207 101.3] 66; 9793 reed 4:5 kage tad bas 20 328 0551 oa 671 9449] 338 1219 OTA Gor $281 0668 4.6 aie 1 io} 328 1518 96.6 671 8482} 338 2232 101.3 661 7768 0714 4.6 2 RG 30 Ho} 328 2484) 26.5} 671 7516) 338 3244 101.2) 661 6756 Oa OIG, Gage ee) 30) Fe6 |, 071 6550) 338 4256 rOre?) ©. 661 5744 ceaar ace aerated ae pie 56.5 Geet rat 9-338 5267 wes 10.661 4733] 10.0100852 4a 9899148 49) | ee 71 4619] 338 627 7! 661 379 6)” a} Kal lol 328 6346 6 671 3654] 338 7290"F| 661 agr0 OPEL AG. - Secel aa [o} 328 7312] 957] 671 2688] 338.8301 0777/61 1699 CAG. ead ff esha 24] Gora Sigh | Sol] SOA) Bag nT 66, 71.0759] 339 0323/ — "| 660 96 4.6 lee e229 0206 54 10.670 9794]9.339 1333] 71 “0) 10.660 0) Nenad Des esr k 0} 329 1170] 95°%| 670 683o|” 339 2343) 010) 660 651 1173; 46 ete tcl Jo] 329 2134) 92° | 670.7866] 339 3353/07] 66 ro £0 iW ; 664 4- ID Af An 4 670 0902 339 4363 nay 660 5634 1968 46 aE 70 339 5372|100° é 4. iM) AH bea a 670 497 339 636| 101-9 B60 3618 1355 4.0 B64, 73 . I E Z i id ni 10.670 401219.339 7391 °°-9! 10.660 2609] 10.0101 403 4.6 9.9898597140! co-sin. dif. 1"’ sec. co-tang. |dif.1"’ tang. co-sec. aa sin. ob 02° | Te 232 12° sin. 209.329 5988 10} 329 6950 20 329 8875 LOGARITHMIC SINES, dif. 1"’ 329 7913 7 329 9838 299 9 330 0800 9.330 1761 330 2723 330 3684 330 4645 330 5606 330 6567 22/19.330 7527 330 8487 330 9447 331 0407 331 1367 331 2326 9.331 3285 331 4244 331 5203 331 6161) 7 331 711g 331 8077 9.331 9035 331 9993 332 0950 332 1907 332 2864 332 3820 3/19-332 4777 o32°5933 332 6689 332 7645 332 8600 332 9556 9.333 o511 333 1466 333 2420 353.3375 333 4329 333 5283 9.333 6237 333 7190 333 8144 333 9097 334 0050 334 1002 9.334 1955 334 2907 334 3859 334 4811 334 5763 334 6714 99.334 7665 334 8616 334 9567 335 0517 335 1468 335 2418 9-335 3368 co-sin, 102° co-sec. tang. 10.670 4or2 9.339 7391 670 3050} 339 8400 ; 670 2087] 339 9409 670 1125} 3400417 670 0162] 340 1425 669 9200 340 2433 af, 1°" 100.9 00.9 100.8 100.8 * | 10.669 823919.340 3441} Xe) ous On Se we ie ae eae wil WAAR Ot gil. 669 7277] 340 4449 669 6316] 340 5456 669 5355 340 6464) 669 4394} 340 7471 669 3433 340 8477 ' & 10.669 2473|9.340 9484 : 669 1513} 341 0490 669 0553) 341 1496], 668 9593} 341 2502 668 8633] 341 3508)" 668 7674] 341 4514 : 9 10.668 6715}9.341 5519 668 5756| 341 6524|" 668 4797] 341 7529|" 668 3839] 341 8534 668 2881 668 1923] 342 0542 I 341 9538), 10.668 0965}9.342 1546 ‘ 668 0007] 342 2550 667 go5o} 342 3554 667 8093} 342 4557 667 7136} 342 5560 667 6180] 342 6563)" 10.667 5223}9.342 7566 667 4267} 342 8569 667 3311| 342 9571 667 2355} 343 0573) 667 1400] 343 1575 667 0444] 343 2577 10.666 9489}9.343 3578 666 8534] 343 4580 666 7580] 343 5581|* 666 6625) 343 6582 666 5671] 343 7582 666 4717| 343 8583 10.666 376319.343 9583 666 2810] 344 0583 666 1856] 344 1583]" 666 0903} 344 2583 665 9950] 344 3582 665 8998] 344 4581 10.665 8045}9.344 5580 665 7093] 3446579 665 6141] 3447578 665 5189} 344 8576 665 4237| 344 9574 665 3286) 345.0572 10.665 2335]9.345 1570 665 1384] 345 2568 665 0433} 345 3565 664 9483] 345 4562 664 8532] 345 5559 664 7582] 345 6556 10.664 6632}9.345 7552 sec. co-tang. TANGENTS, co-tang. 10.660 2609 660 1600 660 0591 659 9583 659 8575 659 7567 10.659 6559 659 5551 659 4544 659 3536 659 2529 659 1523 10.659 0516 658 g510 658 8504 658 7498 658 6492 658 5486 10.658 4481 658 3476 658 2471 658 1466 658 0462 657 9458 10.657 8454 657 7450 657 6446 657 5443 657 4440 657 3437 10.657 2434 657 1431 657 0429 656 9427 656 8425 656 7423 10.656 6422 656 5420 656 4419 656 3418 656 2418 656 1417 10.656 0417 655 5419 9 10.655 4420 655 3421 655 2422 655 1424 655 0426 654 9428 6 10.654 8430 654 7432 654 6435 654 5438 654 4441 654 3444 61 0.654 2448 dif. 1"' tang. 10.0101 403 1449 10.0101680 1726 &c. d.1" 4.6 4.7 co-sin, 9898597/44 69-5 ale 4.619-9898320}2 8274 §) j 9 ; 1 10.0101957 vy 9.9898043)8 é ft 4.6 2003 2049 2099 2141 2188 280 4 6 4.6 4 ‘7 tone nap 46 pei 3} 10.0102511 2558| 4°7 2604 2650 2697 2743 6 10.0102789 4 2836} 7 2882 4-6 4 4 4 |9:9897489 6 6 ‘7 7 7164 | 4.6 9 3021 10.0103068 : 3114 10.0103626 3672 3719 3765 3812 10.0104185 4 2\ 4 4.6 4 4. 3858| 4:6 4 4 6 tf, 6 6 Wy: 6 7 604 7 6 9-9895819 6149} 96099 ¢ A * ' i) 7442} | 7396 of 7350} } 7303} | 7257), 9.989721 I LOGARITHMIC SINES, TANGENTS, W&c. 233 | 12° > 167° sin. dif.l''| co-sec. tang. |dif.l'’| co-tang. sec. d.1'’} co-sin. (Oi|9.335 3368 10.664 663219.345 7552 3 Bp* | 55/3001 335 13191 949.| 664 3683|” 343 4540] 997 | 77 Me eM oikaeneriee [oc 335 5267] 97°| 664 4733] 345.9545] 992) 654 0455 Zaah aol): Seahae 335 6216, 49) 664 3784) 346.0541] 97°2| 653 945g Aausk47)" Becal as 335 7165] 942] 664 2835| 346 15361 99°2| 653 8464 ya cae oe 335 8113 at 664 1887] 346 2532| 972] 653 7468 4418 4.6 Beas ae 9.335 9062) 94°9 | 10.664 093819.346 3527) 99°? |10.653 6473} 10.0104465| 47 eRe 336 coro| 94:8 | 663 gogo” 346 4529| 9%; 6535458] 4.9/2 P92 336 0958 Hs 663 ped 346 5517 99: | 653 4483 4364 4-7 baat a 336 1906] 4") 663 S094] 346 6512 99°| 653 3488 1605] 49} 3954 30 336 2854) ? A | 963 7146] 346 7506 99-4] 653 2494 4652 4:7 5348] 20 336 3801| 97°3 | 663 199] 346 8500 99-4! 653 1500 4695|471 7) 302] 10 9-336 4749) 24°- |10.663 525119.346 9494 99-4 | 10.653 0506|10.0104 46 4-To 9895 954)98) 0} 336.5696 ey 663 304) 347 0488| 994 652 9512} 403) 2)" 252 FoI 10] 336 6643 9 46 663 3355] 347 1482) 27° 652 8518 483 +0 B16r 6 ‘o| 336 Pa ? 46| 063 2411] 347 2475 99° | 652-7525 1886 4-7 5114 30 jo} 336 8535| 94°} 663 1465] 347 3469994) 652 6531 ABBA TLE Sob,|S0 336 9482 246 663 0518] 347 4462| 99 | 652 5538 4980] 477 eA gel us [OR Bo A oid pal og Gooey {pate 337 231 ue 662 7681 349 7h nee 652 2561 a 4-7 ae. 4 o| 337 3264] 9 662 6736] 347 8432| 99 | 652 1568 31671491 4835} 30 0} 337 4209 ae 662 5791] 347 9424 99:2} 652 0576 5214 A 4786 : o| 3375154) ? 45 | 062 4846} 348 0415 99-7) 651 9585 5261| 4:7 493 i 19.337 6099) ? Y, |10.662 3901}9-348 1407 99:2 |10.651 $593|10.0105308| 4719.98 46 A of 337 7043 ay 662 2957) 348 2398) 971} 651 w6oo} 5355) 47 cme y 3 : of 337 7987) 24 {| 662 2013} 348 3369 99°F | 651 6611 54o2| 4-7 4598 io 0] 337 8931) 977 | 662 1069} 348 4380 99°") 651 5620 5449) 4°7 4561] 30 o} 337 9875 ors 662 0125] 348 5371/99! | 651 4629 5496 7 4504] 20} of 338 0819|24°3| 661 9181] 348 6362] 99°] 651 3638 5543|4°7| 4459 10 9-338 1762 a3 10.661 8238/9-348 7352 99-° |10.651 2648 10.0105590 4-70.08 fAr 9) of 338 2705| 94°3| 661 7295] 348 8342|99'°| 651 1658 5639] 47/7 4363) 5 o} 338 3648 ee 661 6352] 348 9332| 99°°| 651 0668 5684) 4:7 7316 40} 0} 338 4591 ee 661 S409] 349 0322 99:91 650 9678 5731 4-7 4269} 30 o} 338 5533 243 661 4467| 349 1311 9-9} 650 8689 5978 4-7 ee 20 338 6476 Lat 661 3524] 349 2301] 22°] 650 7699 5825] 4:7 4175} 10 338 7418 94°? 110.661 2582 9-349 3290 98.9 10.650 6710|10.0105872 4.7 8941 28}24! o} 338 835 94.1 661 1641] 349 427 98. 650 5721 5 i 4.7 ear e eA 338 9301 cae 661 o6991 349 5269 98.81 650 4933 B66 4-7 1034 a 339 0243] 94°7 |. 660 9757] 349 6256 9-9} 650 3944 6613|4°7| 3989 30 2} 339 1184] 94" | 660 8816] 349 7244| 93 | 650 2756 6061| 4°38} 3939) 20 9] 339 2125] 94" | 660 7875] 349 8232 98.81 650 1768 6108/47} 3899] ro] 9.339 3065 ae 10.660 6935]9-349 9220 988 | 10.650 0780}10.0106155 4-719.9893845123! 339 4006 9) 660 5994] 350 0208 gee 649 9792 6209| 4:7 Ra 73 al 50 9} 339 4946] 94° | 660.5054} 350 1195] 92 | 649 8805 6249] 47 a bib 3, 339 5887 aa 660 4113] 350 2183 98.8 649 7817 6296 47 3704} 30 339 6826 972| 6603174) 3503170] 93°7| 649 0830 6343) Z| 3657] 20 3 339 7766 a 660 2234) 350 4157 95.7 649 5843 6391 fe 360g} 10 "9.339 8706 9+ °° | 10.660 1294)9-350 5143 98.6 10.649 4857|10.0106435 a7 893562122! 339 9645 949 660 0355] 35061301 92-2| 649 3870 6485) 4°7 17 95 35) So 340 0584) 939 | 659 9416| 3507116] 93-2| 649 2884 6532/47} 3468] 4o | 4 340 1523 a 659 8477| 350 8102 98.6 649 1898 6579 4-7 3421] 30} 340 2462|932| 659 7538] 350 9088) 9g'| 649 0912 6629/45} 3373} 20 340 3400] 93°5| 659 6600] 351 0074] 9e'n| 648 9926 6674|4-7| 3326] 10 9.340 4338| 92° | 10.659 566219-351 1059| 9°°2 |10.648 8941|10.0106721) 4’7|9.9893279}2" 340 5276|92°2| 659 4724 351 2048} 9851 648 755 6268| 42-71" 73033)! 340 6214] 93° 659 3486| 351.3030| 9 | 648 boro 65161 4-8} 3184 a 340 7152|938| 659 2848] 351 4ord| 2p°¢| 648 5986 6863/47} 3137} 3of 340 S089 a, 659 1gt1} 351 4999 98.5 648 5001 6910 4-7 3090} 20 }} 340.9026 937) 659 0974] 351 5984 98° | 648 4016 6958| 45] 3042} 104 9.340 9963 10.659 0037]9-351 6968 9°°4 | 10.648 3032]10.0107005 4-7 9.9892995 201] co-sin. | dif.1"’ sec. co-tang. |dif.1’’ tang. eo-sec, |d.1’’ sin. ene atte ir lmmmiw ey bys | a 30 234 129° sin. 40'19.340 9963 10} 341 ogoo 20] 341 1836 30] 341 2773 4o| 341 3709 Hol 341 4644 41/19.341 5580 10} 341 6516 20] 341 7451 30] 341 8386 S4o] 341 9321 5o| 342.0255 42/19.342 1190 1o| 342 2124 20] 342 3058 30} 342 3992 4o| 342 4925 5o] 342 5859 43/|9.342 6792 10] 3427725 20| 342 8657 30} 342 9590 4o} 3430522 5o} 343 1454 449.343 2386 10] 343 3318 20] 343 4249 30] 343 5180 4o| 343 6111 150} 343 7042 45'19.343 7973 10} 343 8903 20] 343 9833 30} 344 0763 4o| 344 1693 So} 344 2623 46119.344 3552 10] 344 4481 20] 3445410 30] 344 6339 4o| 344 7267 5o| 344 8196 47'19.344 9124 10] 345 0052 120} 345 0979 30} 345 1907 4o| 345 2834 5o} 345 3761 48'/9.345 4688 10} 345 5615 345 6541 345 7467 345 8393 345 9319 49'19.346 0245 10} 3461170 20] 346 2095 30} 346 3020 40} 346 3945 50} 346 4870 5019-346 5794 co-sin. LOGARITHMIC SINES, TANGENTS, a&c. S| 2 167 cate 1 co-sec. tang. dif. l'’} co-tang. sec. lai” co-sin. r0.659 0037|9.351 6968) 04 ; 10.648 3032 10.0107005) , ,|9.989299512 $38] 358107 3a: Goue 984) cae ioe ico) aoa anh 658 7227] 351 9919 3 648 0081 7147 ei 2853} ¢) 33.5 eee on sth 09031 6 33.3| 647 9097 7194 iF! 2806} : ve, 658 5356 218 647 8114 7249| 4 2758 76 10. bade: 44209. oe sees 9 3 | 10-647 7131}10,0107289 A. 9. o8gay1 58 348 2 3852 647 6148 3 4\ 933) 658 Ae 352 4835) 99° 645165, 2384 46): 2 93-5) 658 1614) 352 5817] 9 647 4183 9431| 42 93:9 | 658.0679) 352 6799 98.21 647 3201 doge ae 5 657 9745} 352 7781 ANE 647 2219 4, ew, 10. me ate 9: si i 28. 5 [10-647 1237|10.0107573 4. ue 9: sate {1} 7 7979 297 ; 647 0255 23 a : 657 6942| 353 0726 ap 646 9274 3354 1} cm 3 657 6008} 353 1708 ee 646 8292 2284 = %| 057 5075) 353 268 239| 046.7311 2237] 333 657 4141| 353 366 ea 646 6331 * 2189] } 33°3 |10: on vs 9. $58 “NG Saia sree ie 10.0107858} 4'4\9: 98921 Oo 70 93:3] 657 1343) 353 6611] 93" | 646 338g Lo 657 0410} 3537591 a6 646 2409 335 | 696.9478) 353 8571 9°! 646 1429 8049} 4 93-5 | 6568546) 353 9550] 92-9] 646 o450 8096| 42] 190 92°? 110.656 761419.354 0530] 7 © | 10.645 9470] to. inet, 4.8) 0 98 1856 93.2 | G20 ebal” Bed 100i 9791 | 643 bor arokedh Gee I ot 65657511 354 2488|97°9| 645 7579 34 48 9 93-1) 656 4820] 354 3467| 972) 645 6533 4. 3, | 6563889) 354 4445] 27") | 645 5555 : 331 | 656 2958] 354 5424 97°2| 645 4576 8382 1618 en 10. Sie 202719. Se rae 5 10.645 3598} 10. eee 4 Z 9. 9891571} a ‘ 1097 4 7380| 72° 645 2620 1523) 93-01 656 o167] 3548358 97°8| 645 1642 8595, 4°8| 49g 93:0) 655 9239] 354.9336 97'8| 645 0664] 8579/44) 1428 929) 655 8307] 3550313} 97°7| 644 9687 8620] 7 1380 93:0 655 439] 355 12901 97°71 | 644 8qrol «866814 °| aa ee ee oe gers ro Abe 10.644 7733}10.0108715 y 819-9891 285}; 55 551 244,977 | 644 6756 8763 Pee 055 ioe 355 4221] 97-7 644 An bri| 48 a 98 | 655 3661] 355 5197) 97 | 644 4803 Fg | 095.2733] 355 6174 97°71 644 3826 92 | 655 1804) 355 7150] 27-6 | 644 2850 0.8 10. oe we 9. ee 8126 as 10.644 1874] 10.0109002 j 9948} 355 gio1| 7” 644 08 92-7) 654 9021] 356.0077) 979 | 643 mee. | 654 8093} 356 1052] 97°7 | 643 8948 ae 654 7166} 356 2027 pike 643.7973 9193 97 | 654 6239] 356 3002] 975 | 643 6998 9241 Pea 10. ae yt 9: a 3977 ay 10.643 6023}10.0109289 He 48 9. 9907 4385) 356 4951| 974 | 643 504 336 0664 se 654 3459} 356 bos 97.4) 643 tanh 9330148 0616)) 99-6) 654 2533] 356 6900] 97°3 | 643 3100 4: | Ome 76 654 16071 356 7873 a 643 2129 4 0520 30.6 654 0681| 356 8847 As {| 643 1153 9528) 73| 0472 92.5 10. ri ae 9. ae ase se eee pe: 10. Sead 489" ae O 92-2 6537905] 357 63 97°31 642 3333 974 48) Saal 9 a 653 6980} 357 2740 Alps 642 7260 0280 975 | 6536055, 357 3713/27") | 642 6287 0232 re 4 | 693 5130] 357 4685 97° ie 642 5315 3 0188 “110.653 4206)9. 357 5658| 97°? |10.642 4342|10. 0109863 ~|9-9890137 dif 1" | Oa sec, | co-tang. aif, 1" tang. co sec, Ss, Coy 235 Ze : = dif. 4 s co-sec, tang. dif, 1'’ nite 167° f ech Pee Es. -tang, ~ f ot “she ma 10.653 4206 9.357 5658 a Pep es tn aegis! of 3 5| 92-4 shal” aEy CRORE Cie £63) fe oe TN ) 346 Her: 2.4 653 2358): 359 nea 97-2 a 3370 ae 4.8|9-9890 1371 0! a} 346 948 92.3 653 1434| 357 8573 97-1 oe 2398} 10.0109959 4.8 ‘ 0089} 50 347 2413 92.4 653 o5tr} 357 9545 97-2 32 1427|10.0110007 4.8 a dts a 4o 347 1336| 92° 652 9587} 358 0516) 97°" 420455 OB) 4-8|9:9599992) 301 ‘of 347 2259] ?>" 10.652 8664)9.358 1487] 97-* oe 9484 6103) 4°° 9949) 20} o| 347 3182 92.3 te pik 358 2458| 97° a; ane 10.0110151 Bs 9 988384, of] of 3 92. 2 6818] 358 3429] 97°! : OI 3) i Bay s004l g2.a| Gen ged 358 feel Gat | Bae cee on] 48] 235) xoh o| 347 5948 92.2 652 4974] 358 5370 97-0 ee S600 0296 4.9 77 | 40} lg.347 6870) 2") |10 G52 agli SonGer Ey ess 0344| 4's 56 a 3 ga)” 130]9.358 7310] 97°° 2 0392| 7 ve 373 92-1 692 2208} 358 Pleo en wel 10440 4319 988°560 a 3 92.2 21287] 358 9249| 92°9 et L720 6488] S731. bie o. eee ey Mbt ous 97.0 vee 0791 omGren ae 50} 6348 1477| 92°! 651 9444] 359 1188 96.9] 6 0 9781 0584 4.8 a ‘ oe 3119.348 2397) 92°° 651 8523] 359 2157| 99-9 Gap 8 0632/4281 23681 20 of 348 3318) 9°"? Mees Tes Fe 3126 ay vs oe Hs 0680 a aaa a ‘of 348 4238 g2- 65 2 59 4094 gv: 64 5 10.0110729 "319-988 ha a | 348.5158) 92-0 1 5762] 359 5063 96-9 © 5906 on 4. 927 Ms Gs 81929) Get deco ro 603: |965| eaoseey 0873 48] 8 go R948 '6q98| 92°° 651 3922] 359 6999] 90°8 4o 3969 6873/4°° OHIO AS mi 99 651 3002 9! 06.8 640 3001 4.8 9127] 3of i 9.348 7 I 91.9 359 7967 9 0921 Lol. 348 F335 91-9 agech 2083]9.359 8935 96-8 |, an Re 0969 a ey 20} iol 348 gI. 11164) 35 i 96-7 640 1065} 10.011 1018 9 1} 10} 349 dale ane el 0245 36 3869 96.7 eae 0098 1066 4.8| abt yey A 349 1593 91-9 og 9326; 360 1836 96.7 632 ey 1114 4.8 ohne 7 340 25 91.8 50 8407| 360 2803 96.7 9 164 1162 4.8 o 9 20I1 650 6 639 71 4. 8838] 30} 9.349 3429 91.8 6 7489 360 3770 90:7 6306 97 1211 4.8 878 2 ‘ Fal 343.4843) 98 | 650 5653)” 360 5903 P| 10.634 Bx6d{r0.0111305| 48 824i 19 3 gi. 0 5703| 92"7 ; 0111307] 7 -|9. Hing 23) Soh) Mo cing ee) Gaya] dg sald tl a! 349 7100| 9'*7| 6 17| 360 7635) 72° M4 1404] 7 85061 - 502 6.5 39 2365 4:8 96} 4o 349 8017| 91°? 900] 360 8600) 7 1452 Bs 8007 27 | One 122, $0 926 8 Bap Has: +) 200514 ro be fol 349 651] 9°°2| 650 0140)” 1 0531] 96's |10.638 946 1549| 4.8} 8451] 10 jo} 350 076 g1.6 6 oo14g| 361 1496 96.5 638 an berks 48 9.9888403} 4! tol 350 1684] 91-7 a9 9233] 361 2461 96:5] 638 2 1645} 7 8355] 5o Blo} 350 2600 91.6 We 8316} 361 3426 96:5] 638 b5 9 1694 Ag Paoal ital }o} 350 35161 91-6 a4? a4o0| 361 4390] 92°4| 638 74 1742] 7. 8958| 30 No.3! ‘ 49 6484, 361 5 96.5 5610 a ) 19.350 4432| 9° |10.64 1 5395 638 464 791| 4.8] 820 if 649 5568]9.36 95.4 4045 1839] 4 9 2°} ile 350 5347 gt. 6 9 9 I 6319 10.638 368 9 4.8 8161] Io Pio} 350 6262 91-5 ae 4653) 361 7283 96-4] 638 {10.011 1887] / 9.988113} 3! ttl: 3738] 36 96.4 2717 1936] 42 ft] 350 7178| 91-2 ie i 1 8247 638 1753 936] 78} 8064) So Erol. 350 8003 gi.5 49 2822] 361 g210 96.3 6 f 1984 8016 1] 9 64 6.4 38 0790 33 4-9 16] 40 r 350 g007 91.4 a9 1907 362 O174 9 63 20 6 3 | / ; 649 0993 6.3 7 9826 9081| 4°° 7907} 90 | 9.350 9922 91.5 - 9 999 362 1137 9 6 OoO1 y, I ibe ; 0.649 0078)9.36 96.3 37 8863 2130 fre) 7919) 207 |; 3h ia bid on 916d) 36 3063| 9:3 Heat Te 10.0112178| 4° 9.988782 or | Bo} 351 266494) 64 sol 362 4025| 92] 6395975] 2275 {177731 50h is 8 7336] 36 96.3 7 5975 geese Oo }? 351 3578 91.4 6A 7 2 4988 637 5ot 7! 4: 7729] 40 Bho} 351 4401 91.3 48 6422| 362 5950 96.2} 63 2 2324| 42 “6761 30] 648 55 7 4090 33 4.8 76} 30 au 9.351 5405 gt.4 09 362 6912 9 637 3 88 72 4 7628 Ne 4 35 Tas 10.648 4595}9.362 78 96.2 Be 2 2421 2 Hf] 3316518 21°5| a Say 30 Jo%4| 95-2632 aed 2516 48),.9997501|1"| 35 8 g1.2 27 9 362 . 2 : 48 15] 351 9086 943] 648.0944] 363 97971 96:1] 636 geaal 2613 48) 1434 “el Pho} 35 ra 9 363 90.1 2615| 7 ; 1 p.8S2 ae ee 648 0032} 363 3680 96.1 oF 8281 2663 fe ee Jo} — 10.647 9120|9.363 3641 96.1 6 7320 2712 9 a 20} SE {dana aliaes 10.636 6359 10.0112761 ‘Io 8803 2 sec. co-tang, dif. we ; ——— o ha 9 0 nd 7 tang. co-sec. |d.1" si ean) in, 236 139 LOGARITHMIC SINES, TANGENTS, &c. co-sin, | | j ' sin. dif.l//| — co-sec. tang. dif. 1''| co-tang. sec. d.1! 0! 19.352 0880 : 10.647 9120)9.363 3641 10.636 6359}10.0112761 10] 352 1792 2 647 8208] 363 4602 i 636 5398 2809 20} 352 2704191"? | 647 7296] 363 5562/99] 636 4438 2858 30} 352 3615/27 | 647 6385] 3636522] 92° | 636 3478 2907 Ifo] 352 4507/98? | 647 5473] 363 7482| 92°} 636 2518 9955 L501 3525438) 9)! | 647 4562] 3638442| 9,0} 636 1558 3004 11! 19.352 6349] 21°! |10.647 3651|9.363 9401] 72°? |10.636 ies 10.0113053 Pro} 352.7259) 97° | 647 2741] 364.0361) 9-°| 635 9639 3101 20] 3528170] 21°" | 647 1830] 364 1320] 75"? | 635 8680 3150 1 30} 352 go8o 91:9} 647 0920] 364 2279 5 635 7721 3199 ‘ Gol 352 9990| 21° | 647 0010} 364 3238) 95°2| 635 6762 5o| 353 0900] 27°°| 646 groo| 364 4196) 2x"° | 635 5804 3296} 7 2! 19.353 1810 9F-° | 10.646 8190]9.364 5155 72 10.635 4845}10.0113345 +s. 10} 353 2719 Ee 646 7281} 364 6113 eB 635 3887 48 5.8 20] 353 3629) 9°] 646 6371] 364 7071] 2'g| 635 2929 30} 353 4538] 9°9| 646.5462} 364 8029] 22" | 635 1971 | 40] 353.5447] 9°°2| 646 4553] 364 8986] 95°27] 635 1014 9°" | 646 3645] 364 9944) 25°" | 635 0056 3! 19.353 7264 2°°2 |10.646 273619.365 ogor| 75°7 |10.634 9099 fro} 353 8172/7", | 646 1828)" 365 1858 o 2 | 634 8142 20| 353 go8o| 2°" | 646 og20} 365 2815 7 | 634.7185 130} 353 9988 9°°3) 646 co12| 365 3772) 92°2| 634 6228 fol 354 0896} ? 645 9104] 365 4728| 9) 634 5272 bo] 354 1803|2°°7 | 645 8197] 365 5685] 95"f| 634 4315 | 4! 19.354 2710) ? 3 10.645 7290|9.365 6641 256 10.634 3359|10.01 13930 nA 9. fro! 354 3618/75 | 645 6382) 365 7597 76 634 2403 3979 Be 20] 354 4524] 92° 645 5476| 365 $533 a5 634 1447 4028} 47} 301 35454311 9°°7 | 645 4569] 365 9508 6 634 0492 4077 4o| 354 6338| 9°72 | 645 3662] 366 0464) 9;"-| 633 9536 4126 }50] 3547244) 9°"2 | 645 2756] 366 1419) 7 633 8581 417! 15! 19.354 8150 yes 10.645 1850]9.366 2374 55 10-633 7626}10.0114224 4 | ro] 354 9056] 9°"3| 645 0944] 366 3329 95 4| 633 6671 4: 20; 354 9962 5 645 0038} 366 4283 ae: 633 5717 30} 355 0867) 7°°2| 644 9133] 366 5238 A y| 633 4762 4.9 140} 355 1772 oar: 644 8228} 366 6192 5 A 633 3808 14 [50] 355 2677|9°°2| 644 7323] 366 7146) 95° | 633 2854 4469) 42 | 6! 19-355 3582] 9°°- 10.644 6418}9.366 8100 a 7 {10-633 1900] 10.0114518 1.0) 9-9885.482)5 10] 355 4487| 207 | 644 5513)" 366 9054 92-4) 633 0946 4567| 72) 543346 20] 355 5391 a5 644 4609} 367 0007 53 632 9993 4616; 4? / 30] 355 6296) 20°, | 644 3704} 367 0960 94| 632.9040 4665 : 140] 355 7200 a 644 2800] 367 1914 eee 632 8086 4 4 5o| 355 8104] 2°°3| 644 1896] 367 2866] 7-"3| 632 7134 4763 ye 5937): 7! 19-355 9007 Za 10.644 0993}9.367 3819 233 10.632 6181}10.01 14812 abe 9.9885 188)5 ro} 355 9911 ae 644 0089| 367 4772 632 5228 4861| 4°9 5139) F 20] 3560814 ae 643 9186} 367 5724 a 632 4276 °3| 643 8283] 367 6676 cas 632 3324 I 4o| 356 26201 9°°2 | = 643 7380} 367 7628 oe 632 2372 50] 356 3523) 9°°3| 643 6477] 367 8580 tes 632 1420 BI 19-356 4426| 2°°- |10.643 5574/9.367 9532] 25"1 |10.632 0468 10] 356 5328) 9°°° | 643 46721 368 0483) 95", | 631 9517 5057 49 rae 10.0115106 40 9-9884894)5 5155) 29} 4845) 20| 356 6230| 9°? | 643 3770] 368 1435| 92" | 631 8565 5205 ve 4795) 44 | 30} 356 7132| 9°? | 643 2868] 368 2386) 9°") | 631 7614 5254|49| 4746 | 40] 356 8034] 9°? | 643 1966] 368 3337] 77",| 631 6663 5303 Ae 4697| ‘4 5o} 356 8935 as 643 1065} 368 4287 oe 631 5713 5352 Ke 4648} i} 9! 19-356 9836] 2°°* |10.643 016419.368 5238 oe 10.631 4762]10.0115401 AG 9.9884 599) 10] 357.0738) 2°" | 642 9262] 368 6188 Fo; 634 3812 5450 a | f 20] 357 1639 en 642 §361| 368 7138 Pa 631 2862 4500) 44 30] 357 2539 9° | 642 7461] 368 8088] 22°, | 631 1912 4o| 357 3440| 9°°T | 642.6560] 368 9038) 95°5 | 631 0962 Bol 357. 4340| 92°°| 642 5660} 368 9988 a 631 0012 1019-357 5240 9°-° | 10.642 4760)9.369 0937 94-9 | 10.630 go63 co-sin. |dif. 1"' sec. co-tang. |dif. 1” tang. ; 103° 76 |3° LOGARITHMIC SINES, TANGENTS, &c. : a ' 166° | 19.357 5 6 . 10.0115697 50! 17337 6140] %-°| 64a S560) 369 1680] 94-9 | 630 Srndh aoe) 4.92 PMO 0 357 7040 ge 642 2960; 369 2835 94:9) 636 7165 Hoe 4-9 ce 7k } 357 79401 2°°°| 642 2060} 369 3784 94-9) 6306216 5844 4.9 4156 oe } 357 8839 $9-9| 642 1161] 369 4733) 942) 630 5267 58o4| °°! Ar06| 20 357 9738 B22 642 0262] 369 5681 coe 630 4319 5943 4-9 405 i 9.358 0637 7-9 | 10.641 9363}9.369 6629 94. 10.630 3371]10.0115992 4.9 884 hs i J 358 1536, 82) 64x 8464)” 369 7577] 48 | 630 3493 Brahe aesalccd | 358 2434 99°| 641 7566] 369 8525) 49) 630 1475 Gogi| 49). 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G58 3499 7030 #9 i 30 | 360 0365] 89-7 | 639 9635] 371 7445] 944 628 2555 7080| 2°] 2990} 20 | 360 1259 tae 639 8741] 371 8389 94-4) 698 1611 7130 30 2870] Io 9.360 2154} 27: 10.639 784619.371 9333 94.4 10.628 0667]10.01171 4-9 882821145! | 360 3048 sop 639 6952] 372 0276 Le 627 ay aa 5.0179 pio 50} 360 3942 oe 639 6058] 372 1220 Pole 627 8780 7278 4-9 27221 4of | 360 4835) £9°7| 639 5165] 372 2163 943) 697 7837 5328] 2° 2679] 30 | 360 5729 B33 639 4271] 372 3106 3743 627 oes 7378 vey 2622] 20} 360 6622 86.3 639 3378] 372 4049 273 627 5991 7427 Ra 2573] tof Pe 5 eh ino ea fo Stoo costa dt 27 4o 360 9301 ae 639 0699] 372 6877 as Sx 3793 Ta6 2 ihe ke 361 0193 ae 638 9807| 372 7819 ae 627 2181 7626 3:0 2374] 30 361 1086 ee 638 8914] 372 8761 aes 627 1239 7675 49 2325} 20 _ 361 1978 i 638 8022} 372 9703 9 G3 627 0297 hy ia 5-0 22.75] 1of oe oe 89.2 ya ze eas mF oe 10.626 9355]10.0117775 x 9-988 2225/43) ! 1 3762] 57° 2 73 1586] 77 626 8414 Sat. y 2175) 5o} / 361 4653 ee 638 5347] 373 2527 4. 626 7473 J844 4-9 ah 4o 361 5544 89°F) 638 4456] 373 3468] 97-1 | 626 6532 7924) 2°} 2076} 30 361 6436 59? | 638 3564) 373 44o9| 94-1 | 626 5591 7974|2°°| 2026} 20 - 361 7327 a 638 2673} 373 5350 prs 626 4650 8024 5-0 1976] 10 (9.361 8217 9-9 | 19.638 178319-373 6291 94-* 110.626 3709}10.0118073 4-910, 88 1927)/42'} 361 gr08| 89! | 638 0892] 373 7231|94-°| 626 me 8193291” 18791 50 | 361 9998 oe 638 o002| 373 8171 94.0 626 B83 8173 ao Boe 4o . 362 0889 haa 637 9111] 373 9111 ta 626 0889 8223 5-0 1777| 30 | 362 1779 Be 637 8221} 374 0051 a 625 9949 8272 4-9 1728} 20 _ 362 2668 8 ? 637 7332] 374 oggt a 625 goog 8322 S 1678] 10 ele 9 Bo gt Se ea ag be Oe ee poe Bee 10.01 pois a bebe aul | 4 7 2} 374 2870 29 7130 22] - I Oo} | 362.5337] 83°9| 637 4663] 374 3809| 95°9| 625 6191 847991 1581 dol t 362 6226) 99°9| 637 3774] 374 4748] 93°2| 625 5252 85221 °°] 1478} 30} 362 7115) 85°9| 637 2885) 374 5686) 93°] 605 4314 8572| | 14281 20} i 6362 8003 88.9 . 637 1997] 374 6625 78 625 3375 8621 #9 1379} 10; 19-362 8892 10.637 1108|9.374 7563} 9°"? |10.625 2437}10.0118671 3 9-9881329 40" | co-sin. one r Bec. co-tang. jdif.1’’ tang. 8 co-sec. |di” sin. ag 76° 238 | LOGARITHMIC SINES, TANGENTS, &c , Re, 166 aaa } 13° As sin. dif. 1''| —co-sec. tang c é 4 -tang, J | 120'19.362 8892 10.63 aot a | 88.8 |19:037 1108|9.374 7563 ; oh i pc azn O28 ah oun Sa 28 Osa pg San BP ag 88.8 Sk oa ict Ne ; 3 1279}: i] Sek Sete) Ie) md ao | 40}, 303 2444 ay) 636 7596] 375 1315 938) 624 8685 Bye 2° 121'19.363 4219] 20"? |10.6 669] 375 2252) 93'8) 624 7748 Bgat| 2° | Pie ge8 4 9 88.7 {1° 36 5781]9-375 3190] 75°_ |10.624 68 rot ox 2-0 ; Ree eral ain oye gael aan aay 93-7 | 6o4 5873 or P 7 ogall | 30) 363 6880| 88-7 830.3024] 398 Goor 3.7| O24 (536) semi] 3° : B Rt 950 0) Maps Oe a: | 363-7700 59 636 2334] 375 6937] 922 a4 3083 913113 2/19.363 536 xe 6| 6361347] 375 7873 936! Go4 012 g21| 2° a 9 91 88.6 10.636 0461}9.375 8810 97 10.624 11 : go7t| 2 Sahih 6) gO] ES 48 Sg) Sod onkd 3h hag: 88 5 cera 9 rt 0682 93.5 623 9318 9371 ee aes 88.6 par! o4| 376 1617 36 623 8383 88.5 g18| 376 2553) 95° ; eit 3 394 3907) 88.5 635.6033| 346 3488) 9" rey ik aoe abs 38 5 10.635 514819-376 4423 93.5 a oT 9521 3545737] ga'g| 639 4263)” 376 9358 93.5.1 "603 4649 wae Baoiny ahs) G8 Siny Yeoagd 38) Gets] ar 88.4 Pay (277248 33 4) ae 364 8390) g5'4| 839 1610) 376 8162 93-4| Gas BaBl s,s Gees 9 368 Pee 88.4 635 0726] 376 9096 994 623 ogo4 ik 0 me 884 10.634 984219-377 0030 93.4 sO 6a4 9 9822 Fs 369 1042] 55°3| 034 8958 397 0964) 92°4| 622 9036 aan. fe pk ees OY ee pee 399 1898 92-4] 622 bro core 365 3602 933| 9347191) 377 2831 83) G00 169 paiecens BoP 30931 a5 3 634 6308| 377 3765) 93°4 6s 6436 ae 25'19.365 j5g| 88-3 6345425) 377 4698] 93°3| 622 5302 on tol” 365 63401 80 10.634 4542|9.377 5631 93:3 | 10.622 436 0193) 22 20} 365 Se 88.2 Sp ee a2 oe 23 622 3436 eons 3 oe PP BRAN a4 real. Geet ee S| ena aed on Jol 365 89871 882] 634 10% 377 8429| 23°,| 622 1591 32 88.2 41013] 377 9361| 25° Beal © a6 9.386 ob591 g5.2 | S24ords| 378 3293] 932 Goel oeeRe 10} 366 wt 88. 10.633 9250}9.378 1225 93.2 10.621 go j ons a1 5 20| 366 2513) 2° peek Wiebe" oT Gar 7843 rowor20t7| 5-019 aa 30] 366 3394/22 | . 633 Priel Si gai Ce apc a7) aa O 88.1 606] 378 4020] 73° 2 731 5: df ens) shel aes] taal ale So} 365 5155] gor] 633 4845], 378 S883 F3 5. | 719-366 6036 ae 2 [10-633 3954\9-378 6813 93-1 pe et 10 0726) 5.1 bikes oy 88 6 a oy a 7743 ae 621 a tae 5 ol 99979229 Q 88.0 5h 78 8674) 23, : S] eg 2) Gd Sass] Gaal a ss 736 88-0 O8Ad| 879.0954). Be Ree PSB Sony oes cuceney 93:0] Gao 85ao]roag| 2 a ‘ ‘ 84.9 10.632 868519.379 2394 93.0 10.620 7606}10 Per ee Fok 23 Ce al fg a stad i i a 26927} 379 4253] 7. : 4 “ wre 378) 6326048 349 5183] 929 620 ‘r8 1185 5 Ne 84.9 632 5170] 379 61tI 92-9} 650 388 1230 Bul 9.367 2209) 87.8 632 4291] 379 7040] 9°") 620 2 és 1334/5 4 pi 84.8 10.632 341319.379 7969 9?°2 |10.620 ae 13891 5 369 8343 87.8 632 2535] 379 8897 92.8 620 ae sarees 30 987m 365 | 87.8 632 1657] 379 9826|2°°2| 620 : rage 568 9221 632 0779] 380.0754 bap 6 ome we 5. : 631 9902] 380 1682] 9?" rae 184 5. §| 631 9025] 380 2610 92.8 Be m9 5.0 10.631 814719.380 3537) 9?°7 17g Ona. co-sin. Foie ag AN Be PE TR I ER Pg, ie WP ap ox | 103° 9.368 7111 | 368 7987 368 8863 | 368 9738 369 0613 369 1488 9.369 2363 369 3238 369 4112 369 4987 369 5861 _ 369 6735 19.369 7608 369 8482 | 369 9355 | 370 0229 _ 370 1102 | 370 1974 19.370 2847 |’ 370 3719 } 370 4592 ) » 370 5464 370 6336 | 370 7207 co-sin. }3° ~ co-sec. 631 7271 631 6394] 380 5392 vain 631 5517] 380 6319) 27 380 7246| 9°"? 631 3765} 380 8173 ac 631 4641 tang. 10.631 8147]9.380 3537 92.8 10.619 6463 380 4465 10.631 2889}9.380 9100 631 2013 631 1137 631 0262 630 9387 630 8512 630 6762 630 5888 630 5013 630 4139 630 3265 10.630 2392}9.382 0205 p24 630 1518 630 0645 629 9771 629 8898 629 8026 3 10.629 715319.382 5748 a 3 629 6281 629 5408} 382 7595 629 4536} 382 8517 381 0026} 2 381 0952 rod 381 1878 9 381 2804) 7° 381 3730} ? 381 5581] 7 381 6506| 7? 381 7431| ? 381 8356] 9 381 9280) 7 2.6 2.6 2.6 6 10.630 7637|9-381 4655 oR 581) 305 25 2.5 2.4 382 1129 382 2053} 7°" 382 4825] 92° 382 6671| 72" 629 3664] 382 9440) ? 629 2793 10.629 19219. 629 1050 629 0179 628 9308 628 8437 628 7566 10.628 6696)9-383 6816) 77°5 628 5826] 383 7737] 7°" 628 4956] 383 8658) 7°" 383 9579 igs 628 3216] 384 049 628 2347) 384 142 oe 10.628 1477]|9-384 2340 a’ 628 0608} 384 3260 pa 627 9739] 384 4180 7 628 4086 2% 383 6363| 92° 383 1285 ag 383 2207 ck 383 3120| 92°? 383 408° ee 383 4973] 2°" Tee | 383 5894 oa 627 8870} 384 5100 a 627 8002 627 7133] 384 10.627 6265}9-384 785 : 627 5397] 384 8777 a ‘7 627 4529| 384 9696] °° 385 0615) 91° 627 2794} 385 1534 ? 627 1927] 385 2452 ? 10.627 1060}9-385 3370 2 627 0193] 385 4288 626 9326} 385 5206 7 627 3662 384 6020 dif. L’’ 92.4 2.2 ’ 92.1 6939 91.9 8| 91-9 18 1.8 91.8 1.8 1.8 LOGARITHMIC SINES, TANGENTS, &c. co-tang. 619 5535 61g 4608 619 3681 619 2754 619 1827 10.619 0900 618 9974 618 9048 618 8122 618 7196 618 6270 10.618 5345 618 4419 618 3494 618 2569 618 1644 618 0720 10.617 9795 617 8871 617 7947 617 7023 617 6099 617 5179 10.617 4252 617 3329 617 2405 617 1483 617 0560 616 9637 10.616 8715 616.7793 616 6871 616 594 616 597 616 4106 10.616 3184 616 2263 616 1342 616 0421 615 9501 615 8580 10.615 7660 615 6740 615 5820 615 4900 615 3980 615 3061 10.615 2142 615 1223 615 0304 614 9385 614 8466 614 7548 10.614 6630 614 5712 614 4794 614 3876 614 2959 sec, 10.0121685 1735 1786 1837 1887 1938 10.0121958 2039 2090 2140 2191 2242 10.0122292 2343 2394 2444 2495 2546 10.0122596 2647 2698 2749 2800 2850 10.0122901 2952 3203 3054 3104 3155 10.0123206 3257 3308 335 3410 3461 10.0123512 3563 3614 3664 37RD 3766 10.0123817 3868 3919 cee 3022 4073 10.0124124 4175 4226 4277 4328 4379 10.0124430 4481 4533 4584 4635 4686 er = eas he a ee ee Sep Mol ieee) Pr) re Oe OV OF OF OF OF OF OD OF OF OF OF OF OF OF OF OV OF OV OF OV OV OV OV OV OV OV OV OV OV ON ON OV OTOH ON OVOV OV OTN 1 DV OVD OV OV OV OW ON OV OV OVO? OV OV ON OV OVO a Ne a se we . ee Bi Ring Tee Oe Abr Sd A lee le ie Sa oe . 7 ee ee Oe Or ee ee ee el 239 166 co-sin. 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| 607 8834) 405 7482] ge", | 594 2518 6316] 5 3684} 10 9.392 1993 rae. 10.607 8007]9.405 8363} 99°, |10.594 1637}10.0136370 5A 9-9863630}43! 392 2820 am 607 7180] 405 9243] g9°, | 594 0757 6424) 5"3 3576) Sof 392 3647| 2° °2| 607 6353) 406 0124/ ge',| 593 9876 6477] 5" 3523} 4o 392 4473| 3? | 607 5527] 406 1004] ga" | 593 8996 6531| 23] 3469} 30] 392 5300 * 607 4700} 406 1884 88.0 593 8116 6584 we 3416} 20 392 6126] 87°0| 607 3874| 406 2764| ga | 593 7236 6638| 24] 3369] r0 9.392 6952 85 10.607 3048}9.406 3644 rt: 10.593 6356}10.01 36693] 5"3 9-9863308/42/f 392 7778 al 607 2222| 406 4524] g ‘Ol 593 5476 6745) 5 3255) So} 392 8604 Ba) 607 1396} 406 5403 aa 593 4597 6799) 5 3201] 40 392 9430} o°"2| 607.0570] 406 6282] 977) 593 3718 6853] 2°35] 3147} 30] 393 0255 Bo, 606 9745} 406 7161 rans 593 2839 6906 54 3094] 20 393 1080 bi 606 8920} 406 8040 paige 593 1960 6960 5. 4 3040 10 9.393 1905 85.5 10.606 8095}9.406 8919 ee 10.593 1081]10.0137014 te 9.9862986]4 1! 393 2730 Go. 606 7270] 406 9798 ae 593 0202 7068] 5"3 2939 5o} 393 3555 B05 606 6445] 407 0676] 37° | 592 9324 7121) By 2379} 4of 393 4380) 9°") | 606 5620] 407 1555) g7'2| 592 8445 7175) 54 2825} 30} 393 5204 ay 606 4796] 407 2433 a 592 7567 7229) 5 4 2771} 20) 393 6028 fe 606 3972| 407 3311 gs 592 6689 7283 cw 27171 10 9.393 6852| °?4 | 10.606 3148]9.407 4189| -7*~ |10.592 5811]10.0137337| ~~"|9.9862663)40)' | co-sin. |dif.1'’ sec. co-tang. j|dif.1'’ tang. co-sec, dl”) — sin. | 5° | 244 &c. 14° TANGENTS, LOGARITHMIC SINES, 165° dif. 1"' d.l’| co-sin, = ——- co-sec. tang. co-tang. SEC. 209.393 6852 393 7676 393 8500 393 9324 394 0147 394 0971 9-394 1794 394 2617 0] 394 3439 - 394 4262 394 5084 394 5907 9.394 6729 394 7551 394 8373 394 9194 395 0016 395 0837 3/19-395 1658 395 2479 395 3300 395 4120 395 494 395 5761 397 7031 397 7847 397 8663 397 9478 398 0293 29/19.398 1109 10.606 3148)9.407 4189 606 2324] 407 5067 606 1500] 407 5944 606 0676} 407 6822 605 9853] 407 7699 605 9029} 407 8576 10.605 8206}9.407 9453 605 7383} 408 0330 605 6561] 408 1207 605 5738] 408 2083 605 4916} 408 2959 605 4093} 408 3836 10.605 3271}9.408 4712 605 2449] 408 5588 605 1627} 408 6463 605 0806} 408 7339 604 9984] 408 8214 604 9163} 408 gogo 10.604 8342}9.408 9965 604 7521] 409 0840 604 6700] 4091714 604 5880} 409 2589 604 5059] 409 3464 604 4239} 409 4338 10.604 3419]9.409 5212 604 2599] 409 6086 604 1779] 409 6960 604 0959] 409 7834 604 0140] 409 8707 603 9321] 4099581 10.603 850119.410 0454 603 7682] 410 1327 603 6864] 410 2200 603 6045] 410 3073 603 5227] 410 3945 603 4408] 410 4818 10.603 35g90]9.410 5690 603 2772] 410 6562 603 1954] 410 7435 603 1137} 410 8306 603 o319g} 410 9178 602 9502} 411 0050 10.602 8685]9.411 0921 602 7868) 411 1792 602 7051] 411 2663 602 6234] 411 3534 602 5418} 411 4405 602 4601] 411 5276 10.602 3785]9.411 6146) g 602 2969] 411 7017 602 2153] 411 7887 602 1337] 411 8757 602 0522 601 9707] 412 0497 10.601 8891]9.412 1366} g 87.8 87.7 87.8 87.7 87.7 87.7 87.7 10.592 5811 592 4933 592 4056 592 3178 592 2301 592 1424 10.592 0547 591 9670 591 8793 591 7917 591 7O41 591 6164 10.591 5288 591 4412 5g1 3537 591 2661 591 1786 5g1 0910 10.591 0035 590 9160 590 8286 590 7411 590 6536 590 5662 10.590 4788 590 3914 590 3040 590 2166 590 1293 5g0 0419 10.589 9546 589 8673 589 7800 589 6927 589 6055 589 5182 10.589 4310 589 3438 589 2565 589 1694 589 0822 588 9950 * {10.588 9079 87.0 87.0 87.0 87.0 411 9627] 97" 86.9 588 8208 588 7337 588 6466 588 5595 588 4724 10.588 3854 588 2983 588 2113 588 1243 588 0373 587 9503 10.587 8634 10.0137337 7390| 7444 cp 7552 7606 10.0137660 7713 7767 7821 7875 7929 10.0137983 8037 80901 8145 81 8583 10.0138307 8361 8415 8469 8523 8577 10.0138631 8685 873 8798 8847 8901 pi aaas5 goro 9064 9118 9172 9226 10.0139280 9335 9389 9443 9497 9551 10.0139606 9660 9714 9769 9823 9877 10.0139931 10.0139986 10.0140040 0094 O149 ~ 0203 10.0140258 IV CON MOY Is} OHO > e O-: ~ wr ) z Z -~— oe ci pied ae ee Se Be eS =- 601 8076} 412 2236 ye 6o1 7261] 412 3105! on 601 6447| 412 3974 862 601 5632] 412 4843 86.2 6o1 4818] 412 5712) ef 10.601 4004]9.412 6581 co-tang. 587 7764 587 6895 587 6026 587 5157 6 587 4288 oO 9 10.587 3419|10.0140584 dif. 1"’ 398 1924 398 2739 398 3553 398 4368 398 5182} 9. 30/19.398 5996) See Pe ee et ee SEY CIB LY PUI BIN ON SPURS LIN SIN OCIS Gon Gn Ory Carve Guan Go OO. be COv COUN EN ae OTE Ga Sake Se SN SP Oe ee oe RokKRoORORRORR ROKR ORARAKORAKRKRRA ORK ARKRAKRARARARRARARKRRRARARARKRARRRWARKRERAS co-sin. {aif 1 e sec, tang. 104° uU* LOGARITHMIC SINES, TANGENTS, &c. 245 | 165° | sin. dif. 1" co-sec, tang. dif.1''| co-tang. sec, d.l‘’} co-sin. 398 5996 10.601 4004|9.412 6581 10.587 3419110.0140584| - -|9.0850416130! 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LOGARITHMIC SINES, TANGENTS, &c. 32 sin. dif. 1! co-sec. tang. difl’'| co-tang. sec ld, 1") ~co-sin. ! |) SEC 0 66 yer ee Si i 440 3381 10.559 651919.457 4964 10.542 5036]10.017 1584 82 8416/60 oi 9784 Ls 559 2216} 457 9730 193. 5420270] O17 1946 aie 4 382 8054159 | 441 2182)"353| 955 7818} 458 4491 98} 241 5509} 017 2309|6 55| 982 7691/58 441 6576 ie 15, 958 3424) 458 9248 ie 541.0752] 017 2672/3°°°| 982 7328157 96 7307 557 9035} 459 4oor abe 540 5999} 017 30366"? 982 6964156 442 5349)-'48} 557 4651) 459 8749 05| 2401251] 017 3400 6.09| 982 6600]55 ng 10.557 027219.460 3492 As 10.539 6508}10.017 3764 ¢".3/9-982 6236154 te 556 5897] 460 8232 it 5 23891768) 017 4129/6 4g) 982 5871153 a 556 1528] 461 2967 7383 538 7033] 017 4494\p°°°| 982 5506)52 nf 555.7163] 461 7697 ne 538 2303} 017 4860 6 rol 982 5t4o}5t bord 555 2803] 462 2423 Baro 537 7577| 017 5226 650 982 4774]50 (ape 554 8447| 462 7145 78.6 537 2855} 017 5592 6.19| 982 4408]49 a 10.554 4096}9.463 1863 58.55|10 536 8137}10.017 5959 Bis 9.982 4041148 446 0250) 5°37| 5539750} 463 6576 8.48 536 3424) 017 6326 6.13| 982 3674]47 oe Se| 053.5409]. 464 1285 78 49, 358715] 017 6694 6.13] 982 3306|46 c na 553 1073] 464 5990 inte 535 4o10] ~=017 7062 aus 982 2938]45 a 55267411 465 0690 edad 5349310] 0177431 rh 982 2569}44 73.03 55224141 465 5386 eee 534 4614] 0177799 6.15 982 220143} 1.448 1909 v4 10.551 809119.466 0078 Ss 10.533 9922/10.017 8169 Bun 9-982 1831}42 72a, 551 3773) 466 4765 7B o5| 033.5235] 017 8538 To 982 1462/41 5% 550 9460] 466 9448 : ‘98, 33.0552}- 017 8908 613 982 1092/40 $453 550 S151} 467 4127 aes 532 5873} 017 9279 6.19 982 0721139 si 65 550 0847] 467 8802 57.85 532 1198} 017 9649 6.04 982 0351438 1.58}. 2496548} 468 3473 5 531 6527] 018 0021 578} 981 9979137] ars 10.549 225319.468 8139 An 10.531 1861]10.018 0392 6.90998 9608} 36} 3 Xe 548 7963} 469 2801 17°63 5307199] 018 0764 6.95; 981 9236/35 1035 548 3578} 469 7459 ay 5h 530 2541] 018 1137 y0| 981 8863)34 es 547 9397] 470 2112 Bot 929 7888] 018 1510 6.99} 981 8490}33 71-27) 54751211 470 6762|27 jo| 929.3238] 018 1883/2"°*| 981 8117)32 bes 547 0849] 471 1407 Lian 528 8593] 018 2256 53 981 7744131 418 ie 10.546 6582]9.471 6048 ine 10.528 3952|10.018 2630 695 9.981 7370]30 Listed Vga 2319) 472 0685 iio 5279315} 018 3005 6.05} 981 6995)29) ry 88) 5458061) 472 5318)77'78| 527 4682] 018 3380 6.05| 981 6620]28 7589} 245.3808] 472 9947177231 5270053] 018 3755 6.05} 981 6245]27 ie 5 544 9559] 473 4572 ae 526 5428] =o18 4130 6:86 981 5870}26 TO B.| 3445314) 473 gtg2 oy 526 0808] 018 4506/6") 2) 981 5494]25 yt 10.544 107419.474 3808 a 10.525 6192]10.018 4883 98/9-98E 5117/24 I ES , 543 6839) 474 8421 ee 5251579} 018 5260) -° 8 981 4740]23 456-7392 oe 543 2608] 475 3029 pee 524 6971) 018 5637/4")3| 981 4363}22 71 35, 242 8382} 475 7633 6.6 524 2367] 018 6014 3} 931 3q86ja1 a3) 542 4160) 476 2233 76.6 523 7767| 018 6392/¢"3°) 981 3608]20 6.99|.. 241 9942] 476 6829 bBia8 5233171] 0186771 6.35! 981 3229119) 70. 5|£0-541 572919.477 1421 ee 10.522 8579}10.018 7150 35/9981 2850]18 ye 541 1520] 477 6009 +6.38 522 3991] 018 7529 33, 981 2471|17) M-07\ 540 7316] 478 0592/6 33} 521 9408} 018 7909 6.33) 981 2091/16) preo 540 3116} 478 5172 Ls 521 4828] o18 8289 6.33 981 1711]15 Ao os 539 8921] 478 9748 rage 521.0252} 018 8669 6.35, 98! 1331|14 Pee 539 4730} 479 4319|/ 2° 520 5681] 018 9050 981 0950}13 69.77 [0.53 76.13 35) 539 054419.479 8887 ho 10.520 1113}10.018 9431 6.3519 981 o569}12 ua 538 6362] 480 3451 Caps 5196549} 018 9813 35] 981 o187]11 ge 538 2184) 480 8011 on 51 2191989] org o195 34} 980 9805] 10 noe 537 8011} 481 2566 bese ee 518 7434] 0190577 381 980 9423] 9) ay 537 3842} 481 7118 ear 518 28821 019 0960 6.38, 980 9040} 8 62.33 536 9677| 482 1666 an 3} 217 8334] — o19 1343 6.40 980 8657] 7 Ae 10-536 551719.482 6210 TRG 10.517 3790|10.019 1727 6.40\9:98° 8273} 6 rai 536 1361) 483.0750 Lepa 516 9250] o1g 2r11 46 980 7889} 5 ge 535 7210] 483 5286 15 53 516 4714) 019 2495 6.43 980 7505} 4 Be os| 35 3062) 483 9818 req] 216.0189] 019 288015"%,| 980 7120] 3 Boon} 034 8919} 484 4346)72 4o| 5155654) org 3265)¢" 73, 9806735] 2 BB. 534 4781] 484 8870 ree 515 1130} 019 3651|6"73| 980 6349] 1 -9110.534 0647 9.485 3390 ne 10.514 6610} 10.019 4037| ""~|9 980 5963] o dif, 1"’ sec co-tang. jdif.1’’ tang. co-sec. |d.1” sin ’ f 7] 468 8173) 8} 469 2273) A1I 113 250 ae ! sin. 09.465 9353 1] 466 3483 2| 466 7609) 3) 467 1730 4} 467 5848) LOGARITHMIC SINES, 68.83 08.77 68.68 3}. 467 9960, 619.468 40691 9] 469 6369 tol 470 0461 470 4548 12 AIG] 472 4922 N17] 472 8985)" A 1819.473 304316 63 1g} 473 7097 20 474 1146\6/ 21{ 474 5192 ‘a 22) 4749234 }23] 479 3271 2419.475 7304 25| 476 1334 26) 476 5359 271 476 9380 128) 477 3396 1291 477 7409 3019.478 1418 31] 478 5423 32] 478 9423 33] 479 3420 34) 479 7412 35}) 480 r4o1 13619.480 5385 13-1” 480 9366 38} 481 3342 39} 481 7315 4o} 4821283 41} 482 5248 6 g4219.482 9208 43) 483 3165 6 44, 483 7117 45| 484 1066\ar 46) 484 5010 47\ 484 8951 48|9.485 2858 49) 485 6820 5o; 486 07496 51] 486 4674| 150] 486 8595 53] 487 2512 59] 489 5934/6 609-489 9824 ! co-sin. 107° 9-470 8631\a_ << ATPIZIWAG A 2 14] 471 6785|07-92 15] 472 0856) ;.: 68.40 68.33| 68,27 of ae 67.17] 7.08 7.02 66.35 66.27 165.53] \10.534 0647 9.485 33g0 533 6517} 485.7907 5 co-sec. tang. 533 2391 486 2419 532 8270] 486 6928 ? 530 4152) 487 1433}2 532 0040) 487 5933 10.531 5931}9.488 0430 531 1827] 488 4924\7 530:7727| 488 9413 “ 530 3631| 489 3898}7 529 9539} 489 6380 529 5452] 490 2858 ? 10.529 1369|9-490 7332 : 528 7290} 491 1802 528 3215! 4g1 6269 527 9144) 492 0731 527 5078} 492 5190 527 1015} 492 9646 10.526 6957}9-493 4097 526 2903} 493 8545 525 8854] 494 2988 525 4808} 4947429 525 0766} 495 1865 524 6729) 495 6298 7 10.524 2696 9-496 0727 523 8666] 4965152 523 4641} 496 9574 523 0620} 497 3991 522 6604] 497 8406 522 2591} 498 2816 10.521 8582)9.498 7223 521 4577] 499 1626 519 859g} 500 9203 10.519 4615]9.50i 3588 519 0634} Sor 7969 518 6658] 502 2347 518 2685} 5o2 6721|7? fs 5178717] 5o3 1092\7 517 4752] 503 5459 10.517 0792)9-503 9822 516 6835} 504 4182 516 2883] 504 8538 5 515 8934) 505 289t|7 515 4990] 505 7240 7 515 1049] 506.1586 10.514 711219.506 5928|7 514 3180 507 0267 513.9251] 507 4602)/ 513 5326] 507 8933|7 513 1405] 508 3261 51274881 508 7586|7 g|10.512 3574}9.509 1907 511 9665} 509 6224 511 5760} 510 0539 511 1858} 5ro 4849 5107960} 510 9156 510 4066} 511 3460 sec. co-tang. dif.1"’ 74.18 FAT: 74.05 1/902 7a 73:90 73.62 73.58 73.50 73.45 ISO2 72.97 72:67 72.60 On 72.02 71-99 1.92 F109 71.78 793 dif.1''| TANGENTS, | co-tang. 10.514 66roj10.019 4037 O19 4423 6 019 4810/6 ~ 512 4067 10.511 9570 511 5076 511 0587 510 6102 510 1620 | 509 7142 rd 10.509 2668 508 198 508 3731 507 9269 507 4810 507 0354 10.506 5903 506 1455 505 7o12 505 2571 504 8135 504 3702 10,503 9273 503 4848 503 0426 502 6009 502 1594 5or 7184 10.501 29777 500 8374 493 8414 10.493 4072 492 9733 492 5398 492 1067 491 6739 491 2414 'T0.490 8093 490 3776 489 9461 489 5151 489 0844 488 6540 tang. | : 10.510 0176)9.511 7760 71.67 10.488 2240]10.021 7937 sec. org 5197 org 5585 org 5973 10.019 6361 019 6750 01g 7140 O19 7529)" 019 7919)" org 8310/7" 10.019 8701 O19 9092 019 9484 019 9876 020 0268} 7° 020 0661 10.020 1054 020 1448 020 1842 020 2236 020 2631 020 3027 10.020 3422 &c. 168 d. 1”) ~co-sin. { 2 980 5963 4 980 55977 wT: 980 519 : 980 480. ae 980 4415 6.47 6.43|7 . ” in Go Go 020 3818 020 4215 020 4612 020 500g 020 5407 10.020 5805 020 6204 020 6602 020 7002 020 7401}, 020 7802| 7° {12|10.020 8202 v3 020 8603 6. 020 9004} ." , 020 9406 6. 020 9808 6. yO OO CHS OV DBDDADBADDBARAABAARARABDRHAAAIN DDDNANAD NO ANN Orn oY &S 6.63 6,63 |6.65)7° 6.63 O7 6.65 O21 O2TI|, 10.021 06142" O21 1017 O21 1421 o21 1825)7° O21 2230), o21 2635 6. 10.021 3040}, 021 3446 6 021 3852 6. 021 4259." o21t 4666) 5" - 021 5073), 10.021 5481 o21 5889 6. 021 6298 6. 021 6707 6. Got iFL17 o21 7526 co-sec, 82| 970g 185, 978.4 9-978 2 d.1”| sim. | 7% «> | | { 109° 252 LOGARITHMIC SINES, TANGENTS, &c. 19° 16( | ! sin. dif.” co-sec. tang. difil''| co-tang. sec, dif} co-sin, 0/9.512 641 [0. 10.487 3581 3581 ree 971 10.463 0281]10.024 3299). 754 I Op oo8t OF De 486.9914 7 3821 7/68.37 ete 462 617 024 353417 7-27)" 56 bo: a) ol 533.3950 tae? 486 6250 335 792065", 462 2080] . 024 4170)2"5~) 975 oa 4 3} 51374101942] 486 2590] 538 2017/63"25| 461 7983) 024 4606 real 975 58040) 4) 514 1067 rie 485 8933} 538 6110/9") 461°3890} 024 5043/7") "} 975 49575} 5} 514 4721160 25 485 5279) 5390200 68. 17 460 9800} 024 5479 ns 975 pil 1 619.514 8371 a 10.485 162019.539 4287 68.07|!° 460 5713}10.024 5917|2°52/9-975 40834} | 515 2017\2°'77| 484 7983} 539 8371 68.03 3} 460 1629) 0246354 7 3o| 972 36463) 8} 515 5660/02") 484.4340] 540245316") 459 7547] 0246792173.) 975 3208] 1 of 515 9300 ied 4840700} 5406531 6 797 459 3469] 024 7231 Lag 975 2769 10] 516 2936). 52) 483 7064 541 0606 67 g- 458 9394, 024 7670 Lig 975 23309} 11] 516 656016059) 483.3431] 54x 4678|@7'37| 458.5322] 024 B109/7°33| 975 i) | 1219-517 0198 43° 482 9802|9-541 8747 6. 10.458 1253]10.024 8549) "33/9-972 1491} 13} 517 3824 338 482 6176} 542 2813]67° if 457 7187} 024 8969)-"3- 975 1011} 14) 517 7447 Bo a 482 2553] 542 6877 Ge 6 457 3123) 024 9430)7°3-| 975 05703} 115] 518 1066,2°°7) 481 8934) 543 0937 6,.6,| 456.9063] 024 9871|7"32) 975 ofa9) | 16] 518 4682)20°7| 481 5318} 543 4994)/67°5°] 456 5006] 025 0312\7°3") 974 g688K 17} 518 8295 nae 481 1705] 543 9048 6453 456 0952} 0250754 ae a cal 2463) 18]9-519 1904 ae: 10.480 8096]9-544 3100 67, fq 10° 455 6900]10.025 1196 7 138 9-974 8804) | 19] 519 5510 60.03 480 4490| 544 7148 6 habe 455 2852) 025 1639|7" 974 83611 20] 519 9112\- 3 480 0888] 545 1193 6), 38 454 8807} 025 2082 974 79189} } 21} 5202711 hase 479 7289} 545 5236 6, 33 454 4764) 025 2525 4 974 74759) 22} 5206307 ae 479 3693) 545 9276| 07 6 454 0724] 025 2969 is lays 974 70313} 23} 520 9899|79'97| 47g or01| 546 3312 on 53, 4536688} 025 3413 iy 974 65879) 24 9.521 3488 5. 10.478 651 219-546 7346|¢ its 10.453 2654}10.025 3858} 7" ps 9-974 61425) 521 7074 ae 478 2926} 547 1377 Sb 452 8623} 025 4303 ce 974 56975} 26 522 0656 5. be 477 9344) 547 5405 ries 452 4595) 025 4748 IB 974 sb ht 27] 522 4235\29'5°| 4775765] 547 9430/g7"05| 452.0570} 025 5194)?" 45| 9744 063) 28] 522 7811|27'-5| 477 2189] 548 3452 Boog) 451 6548] 025 5641/7" 73) 974 43554] 2g} 523 1383/29°°| 476.8617] 548 7471/6673] 451 2529) 025 6087)” 45|_ 974 39 i 3019-523 4953/2779] 10.476 5047]9-549 1487164 Ba) 10-450 8513] 10.025 6534|7" 4019-974 3466)} 31] 523 8518 5 a 476 1482} 549 5500\¢¢' g5| 4204500} 025 6982 7-47\" 974 30189) 32) 524 2081 5. 3 475.7919] 549 er 66.80 450 0489} 025 7430 7.47 974 257c3} 33) 524 5640|293?| 475 4360} 550 19l66.93] 4496481] 025 7878 7-43] 974 aiaai) 34) 524 9196 Be 475 0804} 550 7523 66. 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8703}36 457 3679} 570 8088 64.38 429 1912} 028 1767 85 971 8233}35 457 0287} 571 1951 64.33 428 8049] 028 2238 98 971 7762134 456 6897] 571 5811 64.30 428 4189} 028 2709 "85 971 7291|33 456 3511} 571 9669 64.25 428 0331] 028 3180 caf 971 6820}32 456 0127) 572 3524/6 7°55) 4276476} 028 3652 ays 971 6348}31} 10.455 674719-572 7377 64.1 10.427 2623}10.028 4124 re 9.971 5876)30} 455 3370) 573 1227 ade 426 8773} 028 4596 ages 971 5404]29 454 9995} 573 5074 64.08 426 4926} 028 5069 ch | 972 4931 28 454 6624] 573 8919 re 426 1081} = 028 5543 pa 971 4457}27 454 3255] 574 2761 6 et 425 7239] 028 6016 ic >| 97! 3984} 26 6 453 9890] 574 6601 63. 425 3399] 028 6491 ee 971 3509]25 4 10.453 6528}9.575 0438 63 ae 10.424 9562|10.028 6965 oo 971 3035}24 453 3168] 575 4272 63.87 4245728} 0287440 ye 971 2560}23 452 9811) 575 8104|¢3'93) 424 1896] 028 7916 sa! 971 2084]22 452 6458} 576 1934|43"_9| 423 8066] 028 8392 jie 971 1608]21 452 3107] 5765761\33'75| 423 4239] 028 8868 ie 971 1132}20 451 9760} 576 9585 pre 423 0415} 028 9345 ae 971 0655}19 10.451 6415|9.577 3407 63.65 10.422 6593|10.028 9822 tes 9-971 0178118 451 3073} 577 7226 63.60 4222774) - 029 0299 ce 970 9701/17 450 9734} 578 1043 63.58 421 8957} 0290777|- 23] 970 9223116 450 6398] 578 4858/¢3'55| 421 5142] 029 1256 a 970 8744]15 450 3065} 578 8669/¢3'5,| 421 1331} 02917395 igen 970 8265] 14 449 9735| 579 2479 63.45 4207521] 029 2214 ae 970 7786|13 4 10.449 6408)9:579 6286 63.40 10.420 3714}10.029 2694 8.00 9.970 730612 449 3084) 580 0090/¢3'3.} 4199910] 029 3174} 56) 97° 6826}11 448 9763} 580 3892/63°3/| 4196108] 029 3654/24} 970 6346) 10 448 6444) 580 7691\¢3"53) 419 2309) 029 4155903] 970 5865] 9 448 3129) 581 1488\65°3| 418 8512} 029 4617/24} 97° 5383} 8 447 9816) 581 5282 345 418 4718} 029 5098 8 970 4902) 7 ; 10.447 6506}9-581 9074 634 10.418 0926}10.029 5581 8.63 9.970 4419] 6 447 3199) 582 2864 ie 417 7136] 029 6063 (Os 970 3937} 5 446 9895) 582 6651\63'5_| 417 3349] 029 6546)9',_| 970 3454) 4 446 6594] 583 0435 eins 416 9565} 029 7030 San 970 2970] 3 446 3296) 583 4217 63.00 416 5783] 029 7514 eae 970 2486} 2 446 0001} 583 79976, 65 416 2003] 029 7998 8 of 970 2002] I 10.445 67089.584 1774|°*"??|10.415 8226]10.029 8483] |9.970 1517] © co-sin, dif. 1'’ sec. co-tang. |dif.1'’ tang. co-sec. jd, 1” sin, I 10° ir) 3 ; oO i119 254 LOGARITHMIC SINES, TANGENTS, &c. 21° Ep! sin. dif, 1’ co-sec, tang. dif.1’’| co-tang. sec. d.1"| co-sin, 019.554 3292 10.445 6708}9.584 1774] ~ 10.415 8226]10.029 8483 ai 554 6561 pk 445 3419) 584 5549\09'°22| 415 4451] 02 | 2] 554 o868|2478) 445 0133] 584 9321/0281 415 0679 3] 555 3152/2478) 444 6848] 585 Sogr|go'g.| 414 6909 1 4) 5556433 54.63 444 3567} 585 6859 62.75 414 3141} 0300426 5} 555.9711 54 bo | 4440289} 586 0624 Bane 413 9376 030 og13 6/9.556 2987 54.53 10.443 7013}9.586 4386 62.68 10.413 5614}10.030 1400 § 7| 556 6259 5A 5 | 443 3741| 586 8147 % 3 413 1853] 030 1888 8] 556 9529/2772, 443.0471) 587 1904/60 "6°| = 412 8096 Fo} 557 2796 Bf 40 442 72041 587 5660 62.55 412 4340 fro 557 Gobo ete 442 3940 a 9413}6, 55] 412 0587 pIt} 557 9321 By es 442 0679} 5 3163 62.48 411 6837] 0303842 11219.558 2579 BA. _|10.441 7421}9.588 6912 Bri 10.411 3088}10.030 4332 13} 558 5835)-7°571 441 4165] 589 0657/65" Jol 410-9343] 030 482 t4| 558 9088 rpg 441 0912] 589 440i\@5"3<| 410 5599} 030 5313 15] 559 2338/2417) 440 7662) 589 8142|9>"3>| 410 1858 16) 559 5585 ore. 440 4415] 590 1881)65°5_} 409 8119 I17| 559 8829 ae 440 1171] 590 5617/¢9°23| 40g 4383 [18)9.560 2071|24°29| 10.439 7929|9-590 9351] A-" 10.409 0649 ito} 560 5310 aoe 439 4690] 5 408 6918 20] 560 8546!23'20| 439 1454 408 3188 f21| 5611770 a 438 8221 407 9461 f22| 561 5oro 53. 3 438 4990 407 5737 23} 561 8237)/73°7-| 438 1763 5| 407 2015 2419-562 1462 53 o> 10.437 8538}9.593 1705 6 10.406 8295 125] 562 4685/> 365 437 5315 ‘97 406 4577| 031 0738 F256] 562 7904 53.6 437 2096 : 406 0862} 031 1234 85 am 063 1121 53 54 436 8879 405 7149} 031 1730 a 28] 563 4335),3°2/| 436 5665 a 405 3439 ’ 29} 563 7546|23°,-| 436 2454) - 595 0269 4o4 9731 “ie 30}9-564 0754 53.43 10.435 9246]9.595 3975 én. : 10.404 6025 5 31} 564 3960 338 435 6040} 595 7679 61.68 404 2321] 031 3719 8 30 39} 5647163 53.33 435 2837] 596 1380 16 403 8620] 031 4217 835 33} 565 0363 53 30! 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co-sin. dif. 1""| sec. co-tang. |dif.1'' tang co-sec, |d.1"’ sin. }120 LOGARITHMIC SINES, co-sec. dif. L'' 10.426 4246}9.606 40 426 1120] 606 7732 60.5 425 7997} 607 1366/6," 5. 425 4877) 607 499765 56 425 1760} 607 8627 Go. ‘5 424 8644] 608 2254 bo 43 3 10.424 55329.608 5880 60.38 424 2422) 608 9503 60.35 422 9315} 609 3124 60.30 423 6210] 609 6742 60.28 423 3108] 610 0359i6 "53 423 0009} 610 3973 6 ’ 2| 10.422 691 2\9.610 7586 422 3817) 611 1196 422.0725| 611 4804 421 7636] 611 8409 Boe 421 4550] 6122013 bo. 3 421 1465) 612 5615 ow 10.420 8384]9.612 9214 raed : 420 5305} 613 2812 Wa 420 2228] 613 6407 at 419 9155} 614 0000 52 Bs 419 6083} 614 3591 5. Bo 419 3014] 6147180 a3 Fl 60.418 9948 9-615 0766 °7| 418 6884] 615 4351 418 3823} 615 7934 418 0764] 6161514 417 7708] 616 5093 417 4655; 616 8669 7\10.417 1603 9.617 2243 416 8555) 617 5815|-7. 416 5509} 617 9385|-7° 416 2465} 618 2953 415 9424) 618 6519 415 6385] 619 0083-7, 10.415 3349|9.619 3645 32 33 7) 415.0315} 619 7205|57 4147284] 6200762 9 414 4255 414 1229 413 8205 10.413 5184}9.621 4973 52 va 413 2165] 621 8520 hae 412 9149] 622 2066 ? 59-05 412 6135] 622 5609/27" 412 3124 59-02 622 9150 412 0115 623 2690|22 or "110.411 7108|9.623 6227 7, rx 4104] 623 9763 411 1103] 624 3296 410 8103] 624 6827 410 5107} 625 0356 4to 2112| 625 3884 ‘ 10.409 9120|9.625 7409 oe 409 6131] 626 0932 Pre! 409 3144 Meg 409 0159 408 7177 h 408 4197 10.408 1220/9.627 8519 tang. 60.60 0.22 co-tang. |dif.1’’ TANGENTS, co-tang. 393 2268 392 8634 392 5003 392 1373 391 7746 10.391 4120 391 0497 . 390 6876 390 3258 389 9641 389 6027 10.389 2414 388 8804 388 5196 388 1591 387 7987 387 4385 10.387 0786 386 7188 386 3593 386 0000 385 6409 385 2820 5 10.384 9234 384 5649 384 2066 383 8486 383 4907 383 1331 10.382°7757 382 4185 382 0615 381 7047 381 3481 380 9917 10.380 6355 380 2795 379 9238 ot 2682 379 2128 378 8577 10.378 5027 378 1480 377 7934 377 4391 377 0850 376 7310 7.910.376 3773 376 0237 375 6704 3753173 374 9644 374 6116 10.374 2591 373 9068 373 5546 373) 2027 372 8509 372 4994 10.372 1481 sec, 110.393 5904 10.032 8341 032 8852!," 032 9363) 032 9875 033 0386 033 0899 10.033 1412 033 1925 033 2438 033 2952 033 3467 033 3982)" 10.033 4497 033 5013 033 5529/9" 033 6046! 967 0637}58 967 0125157 966 9614}56 966 910155 9-966 8588154 966 8075}53 966 7562}52 ‘ ie 966 7048}51 58 966 6533}50 "Bo|9:906 5503148 966 4471|46 966 3954) 4! On Nn OVO y nr ‘ . . 033 6563\,° 033 7080} 4" 10.033 7598 |q. 033 8116 033 8635|¢° 033 9154]o'- 033 9674/6". 034 0194) 9" 10.034 0715 034 1236 034 1757 034 2279 034 2801 034 3323 10.034 3847 034 4370 034 4894 034 5418 034 5945 034 6468 10.034 60904 034 eae 034 8047 034 8574 034 9101 034 9629 10.035 0157 035 0686 035.1215 035 1744 035 2274 035 2805 19.035 3335 8. 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L'’ co-sin, Re, LS Y Tn ae en Be fat Ear Pe a 0,9-798 8718 10.201 128219.908 3692 10.091 6308) 10.1094974 g-5905026} | 1] 799 0278 ne 200 9722} 908 6275 ae ogi 3725] 1095997 hee 890400 31 i 21 799 1836 25.97 200 8164) 908 8858 A36a eo 142] 1097021 17408 5902979) 1 31 799 3394],5'24] 200.6606] 909 1440/73°43} 09° 8560} 1098046]; 5’ 08 8901 Pal | 41 799-4951|5 5 * 200 5049] 909 4022 3.02) 29° 5978] 1099071 rat 8900929 1 5) 799 6507 Asis 200 3493] 909 6603 43.03 090 3397} 1100097] 7", 8899903] 1 619-799 8062 aes 10.200 1938}9.909 9185 $3.03 10.090 0815}10.1101123 at 9 8899877 | 7} 799 9616),-'20) 2000384) g10 1766 5302 089 8234) 1102150 bog 8897850 8} 800 1169 5.87. 199 8831] 910 4347 43.00 089 5653} “1103178 mete 8896829) 9} 800 2721/57 'g6) 1997279] 910 6927 pee 089 3073] 1104206 it 5895794) f10] 800 4272|)5'9n) 199 5728] 910 9907 88 Go 089 0493} = 1105235 17215 8894769 yr 800 5823 5 801. 199 4177] 911 2087 42.98 088 7913} 1106264 19.17 8893736) 1219.800 7372 35 Go| 60-199 2628}9.911 4666 42.08 10.088 5334]10.1107294 1748 9:8892706 113} S00 8921 a8 fob 499 10791 Oe 7245 42.08 088 2755} 1108325 £7.18 8891675 14] 801 0468 anne 198 9532] 911 9824 42.08 088 0176} ~=1109356 ed 8890644 154 801 2015 ee 198 7985} 912 2403 42.07 087 7597} 1110388 17.90 8889612 116} 8or 3561 35.45 198 6439] 912 4981 42.97 087 5019} 1111420 ee 8888580 fr7| Sor 5106 ae 198 4894] 912.7959 42.97 087 2441] 1112453 17.23 cena 1819-801 6649) 55 vi 10.198 3351]9.913 0137 42.95 10.086 9863}10.11 13487 i7.2319 8886513 H19} 801 S192 A: 198 1808] 913 2714 42.95 086 7286] 1114521 aS 8885479 $20) 801 9735/5 ~ 4g) 198 0265 913 5291 42.95 086 4709} 1115556 ay 8884444 j21| 802 1276 BS Ga Cage 8724] 913 7868 42.03 086 2132} 1116592 eon 8883 08 722| 802 2816/0, as] 197 7184 914 0444 43.93 085 9556} 1117628 19.38 8882379 23] 802 4355 35, 65|._ 197 9645] 914 3020 463 085.6980} 1118665), 7") g 88813, }24/9-802 5894) 75 ¢|10-197 4106}9.914 5596 42.92 10.085 4404] 10.1119702 17.30 9-8880298 f25 802 7431 35.64 197 2569] 914 8171 42.93 085 1829] 1120740 17.39 879mm 426 802 8968 5 60| 197 1032} 915 0747 42.99 084 9253} 1121779 19.39 8878291 127 803 0504 ace 196 9496] 915 3322 42.9 084 6678} =11 22818 A: 8577 ae f28] 803 2038 sr 196.7962] 915 5896 42.99 084 41044 1123858 17.33 6876142 Be 803 3572 95.55 196 6428} 915 8471 42.90 084 1529} 1124898 17.35 8875102 019-803 5105}0 753 10.196 4895}9.916 1045 42.88 10.083 8955]10.11 25939 ee 9-887406 31} 803 6637)\05'r 4} I 6 3363} 916 3618 42.90 083 6382] 1126981 a9 887301 $32] $03 8163) 57 196 1832] 916 6192 42.88 083 3808} 1128023 17.38 887197; 133] 803 9699),-"79] 196 0301 916 8765/7) ga} 083 1235] 1129066)", 8870934 134) 804 1228 25.48 195 8772] 917 1338 082 8662} 130110 17.40 ae | : BOA 2797 a5 195 7243} 917 391! 42.89 082 6089} =1131154 i742 sie | 3 9-804 4284 Avs 10.195 571619.917 6483 See 10.082 3517}10.1132199 i949 9.88678 1 197 804 9811 35.43 195 4189} 9179055 42.84 082 0945] 1133244 ad 886675 638] 804 7336 ae 195 2664] 918 1627 42.85 081 8373} 1134290 19,45 88657 i 3g] 804 8861 35.40 195 1139] 918 4198 42.85 081 5802} = 1135337 19.45 886466. 140] 805 0385 5 3g| 1949615 918 6769 42.85 081 3231} 1136384 Tike 886361 p41 805 1908), 5 34 1948092] 918 9340) 77 081 0660} 1137432 19.48 886296 142)9-805 3430). "35|10-194 657019-919 Lgrt 42.83 10.080 808g]10.1138481 19.48 9.886151 43 805 4951 35.35 1945049} 919 4481] 75 93 080 5519} =: 1139530 AD 886047 144 805 6472! 5 39 194 3528] 9197051 42.83 080 2949} 1140580 14.50 ooo 145 805 7991 95.30 194 2009} 919 9621 49.83 080 0379} 1141630 19.55 88583 4 805 9510 308 194 0490} 920 2191 42.89| 079 7809} 1142681 17.53 885731 142 806 A be won 193 8973} 920 4760 J>.83|. “078 5240 1143733 19:53 8856 6; 4819-806 2544 od 10.193 7456)9.920 7329 42.89| 10-079 2671]10.1144785 17.55 9.885521 49) 806 4060/5555} 1935940} 920 9898 42 Bol 079 0103] 1 145838 tt 5h 885416: 50] 806 5575 55.93} 1934425) 921 2466 43.80 078 7534} 1146891 ate 6853 10 J51} 806 7089) = 55 193 2911] 921 5034 55.86 078 4966} 1147945 19.58 885209: 152 po anos 35.001 193 1398] 921 7602170 '35 078 2398] 1149000 roi58 885 100 Ps ae grid 35.90| 192.9886] 922 0170 2.98|_ 077 g830] I 150055 nats 88.4994. 54\9-807 1 326) 1 9|10:192 837419.922 2737 42.78|20077 7263|10.1151111 roas 9.884886: 55| 807 3136155 14 192 6864] 922 5304 Pr eet Or 4696) 1152168 RS 884783: 56) 807 4646) 55" 3 192 5354] 922 7871 POU 212 ies 153225 i763 884677 157) 807 6154 oR aah 192 3846} 923 0437 42.78 076 9563} 1154283 2 oe 884571 58} 807 7662) 95"15| 192 2338) 923 3004\7,,°7-| 075 6996 1155341 by ee | 59 807 9169135 10 192 0831] 923 5570 a 076 4430} 1156401 Gs ee | 60)9-808 0675 10.191 9325]9.923 8135 10.076 1865} 10.1 157460 9.884254 ,/ co-sin. dif. 1'’ sec. co-tang. |dif. 1” tang. co-sec. dif. 1! sin. 129° 3b he | LOGARITHMIC SINES, TANGENTS, &c. 273 ‘ on sin. Users co-sec. tang. dif.l'’| co-tang. sec, dif. 1 co-sin. ! BG 75) yp, o|t0:79% 9325|9 923 8198] _,|r0.076 1865] 101 xSya60| . - \p-seuasacleo 8 98 2259885 ao 0078 7 al RE 808 3684 pall 19! 6316} 924 3266 pee 075 6734) = 1159582 5.68 8840418]58 808 5188 25.03) I9E 4812] 924 5831 45.98 075 4169} 1160643 19.9% 8839357}57 | 808 6690 25.03}. 19! 3310} 924 8396 a 93 075 1604] 1161706 17.90 8838294|56 oe 8192 25.001. 19! Oe 925 a5 WEE 074 9040} 1162768 19.93 8837232]55 .808 9692 25 .00| LO: E9E © 08]9.925 3524 72 10.074 6476] 10.1163832 19598 9.8836 16854 809 Ng 24.98 190 a 925 te hee 074 be 1164896 righ sh ina 53 Bareileagy| 1739] 9 bOhriia 7] 148] IGtobal a a] Sahota 80 3686 24.95 tec 4314 ne 3978|42-72 ik Baad 11680 9 [17°77 8831008 50 809 7182 ate ra 2818 396 6341 aie 073 3659} 1 160159 r7-78 8830841 49 809 8678 is 10.190 ae 9.926 8904 tab 10.073 1096}10.1170226 ta Be 9.8829774 48 Fos Top giadl 27 dad BSS taal Sree 24. 2.70 7. 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(dif. 1'’ sec. co-tang. |dif.1'’ tang. co-sec. |dif.1'’ sin. ! yo 49° 30 274 LOGARITHMIC SINES, TANGENTS, &C. sin, dif. 1”’ co-sec. tang. dif.1'’| co-tang. sec. dif.1'’} co-sin, | ‘ U a 816 942 10.183 057119.939 1631 10.060 8369]10.1222201 9.8777 1” 817 0882 a aa): 382 ot r8l 939.4182 42-921 060 5818 ees a 2} 817 2334 Ae. 28> 7666] 939 6733 i i 060 3267 1224399] 8 33 3 y 182 6215] 939 9284 53 060 0716} 1225499] 9°33 4| 8175235 ye 182 4765] 940 1835 yaa 059 8165] 1226599) 9°35 2 817 6685|24°12| 182 3315] 940 4385|70"55) 0595615] 1227700) ,8°3 7 8 9 4. 4 Q 9.817 8133 10.182 1867|9.940 6936 10.059 3064] 10.1228802 as 182 041g] 940 9486 are 059 0514] 1229904 ey 818 1028|- 4°17} 181 8972] 941 2036 2-991 058.7964} 1231007] 9" 818 2474 ye 181 7526] 941 4585 nee 058 5415} 91232111 i 4 ee 181 6081} 941 7135 4218 058 2865] 1233215] 19" i 11} 818 5364), _ 181 4636} 941 9684 42.48 058 0316} 1234320), * 1.219.818 6807 10.181 3193}9-942 2233 42.48 10.097 7767} 10.1235426 8.43 9. 13] 818 8250), 181 1750] 942 4782\70'79| 057 5218) 1236532 1845 14) 818 9692), / 181 0308] 942 7331 ay 057 2669 15} 819 1133 ie 180 8867} 942 9879 re 057 O125 16, 819 2573 as de 180 7427] 943 2428 sy 056 7572 17] 819 4or2|,3'2°] 180 5988] 943 4976/7," iG 056 5024 1819.819 5450 mye 10.180 4550|9-943 7524 ho do 10.056 2476 19} 819 6888), ‘97| 180 3112] 944 0072 i, é -055 9928 20} 819 8325/5 3°23) 180 1675 944 2619 fo 48 055 7381 21} 819 9761 aac 180 0239] 944 5166 fad 055 4834 22} 820 1196 we 179 8804] 9447714 fo 4b 055 2286 23] 820 2630), ie 179 7370} 945 0261 »43 054 9739 2419.820 4063), 3'g9)10-179 593719-945 2807 eras 10.094 7193 25] 820 5496/53" 179 4504] 945 5354 ie 054 4646 26} 820 6927 33.85, 179 3073] 945 7900 4.5 054 2100 27) 820 8358 93.83| 179 1642] 946 0447|7-° 053 9553 28) 820 9788/,3°3,| 1790212 946 2993 44.43 053 7007 29} 821 1217),3'g, 178 8783] 946 5539 ai 053 4461 30]9.821 2646)73°_9)10.178 735419-946 8084 42.43 10.053 1916 31] 821 4073 53 48 178 5927| 947 0630 yy 052 9370 32} 821 5500 33 7 178 4500} 947 3175 fais 052 6825 33} 821 6926 33 U4 178 3074] 947 5720 athe 052 4280 34} 821 8351|) ‘72! 178 1649] 947 8265) 70 7: 052 1735 35} 821 9775 ; 178 0225] 948 0810 eh O51 gIg0 36]9.822 1198)5 3°25 |10.177 880219.948 3355 an 10.051 6645 37| 822 2621),3°49) 177 7379] 948 5899 > Ao O51 4101 38] 822 4042|53 63, 177 5958} 948 8443 a o5r 1557 39} 822 5463 13.6 177 4537] 949 0987 habe 050 go13 4o| 822 6883); 2} 1973117] 949 3531/7 oF 050 6469 a oa 8302), 177 1698] 949 6075 reer 050 3925} 1267773 ‘ {2|9.822 9721 .177 027919.949 861 *e|10.050 1381] 10.1268898 43)” 823 1138/23°°2| 176 8869) 950 116214238) ogg 8838 aie 44) 823 2555 176 7445] 950 3705 pier 049 6295 45) 823 3971 : 176 6029} 950 6248 ig 049 3752 146] 823 5386), 35 176 4614] 950 8791 49.38 049 1209 147] 823 6800|73"22| 1763200] 951 1334/7" 048 8666 ° = ie) 48]9.823 8213 e 10.176 1787/9.951 3876 mol 10.048 6124} 10. 49) 823 9626|03°55| 176.0374) 951 6419/73 048 3581 5o} 824 1037 53 53 175 8963] 951 8961 yee 048 1039 51| 824 2448 33.50 17575952] 952 1503 403 047 8497 5a} 824 3858/53 "73| 175.6142} 952 4045/7 32) 047 5955 53] 824 5267|03"%—) 175 4733] 952 6587/7, 2) 047 3413 54|9.824 6676 33.46 10.175 3324]9.952 9128 3 10.047 0872]10. 55| 824 8083 575 175 1917] 953 1670}, 3h 046 8330 156] 824 9490 175 0510] 953 4211 a3. 046 5789 825 0896 23.43 174 9104] 9536752 ee 046 3248 3.42 : : 825 2301|-3'4-| 174.7699] 953 9293 046 0707 5g} 825 3705 esiag 1746295} 954 1834 ieee 045 8166 42.33}, «045 5626| 10.1289265|"©-9°|g 871078 609.825 5109 23.40 10.174 4891|9-954 4374 ; co-sin. dif. 1’’ sec. co-tang. |dif. 1’’ tang. co-sec. |dif.1"’ sin, | — |} ———_ |} — F 131° 4 LOGAR ITHMIC SINES, TA 19 ? NGENTS ; & c 6, oo ERE TP oP 2Q75 i raha eg Wad co-sec ta bas . ne. e. “ . -; a 93.38 10.174 4891 rt ask, es sec, afer! cous si ? ' y Peed Deed -sin. 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B29 8688] 961 0378 42.29 039 2158] 1317912 15.23) ooo aes 36 (829 4075|23°02 170 7306] 961 2915/4228 038.9622 1319066|!9-23 pie 35 enaeneae?98| Vo aeael er sc88 42.28) 038 7085] 1320221|19°2? prt sane 829 6833 22.98 170 4546 961 7988 42.27 038 4548 1329377 9.27 86,6603 33 +899 8212 22.98 10.170 3167(9.962 0525 42.28) 038 2012] 1322534 19.28 Se 30 829 9589 22.95 170 1788] 962 3061 42,27 .037 9475]10.1323691 9.28 pee 31 8300 22.95 170 O4II 962 5597 42.29 037 6939 132484 19.3 Te wee 30 830 On 22.93 169 9034] 962 8133 42.27 037 4403} 1326008 19.32 elie 29 i 830 3917|7>'9? 169 7658] 963 0669 Mactan toons 329169|19°32 lige 28 A 830 5ogt 22.90 169 6283 963 3204 42.25 036 9331 1328327 19.33 pe te 27 H'830 6464| 22°28 10.169 490919-963 5740|42°2711 036 6796| 1329488/'9-321 8 re 1673} 26 8830 7837 22.88 169 3536] 963 8275 42.25 0.036 4260]10.1330649 19.35 pre ae 25 § 830 9209 2.87| 109 2163] 964 0811 42.27 036.1725} 1331811 19.37 Cen pes 24 831 0580|22') 169.0791] 964 3346/4??? 035.9189] 1332974)'9-38 Ba67026 : 831 1950 22.83 168 9420] 964 5881 42.25 035 6654] 1334137 19-38 aes 22 1831 3320|22°° 168 8050 4 8416 42.25 035 411g} = 1335301 19.40 pela 21 831 4688 32 Bo) 10-168 6680 9.965 0951 42.25 035 1584] 1336466 19.42] 96 4699} 20 Mae ceaGo) 108 5917) 98) 24 42.95|10:034 9049|10-133763 1 19-421, 8669360) 18 831 7423 2.78 168 3944] 965 6020 593} 0240514) 1338797 19.43 geet: 18 831 8489|22°77 168 2577} 965 8555 42.25 034 3980] 1339964 19.45 1203]17 789}99.57| 168 12 fo.03} 0341445 (9-45, $660036|16 832 0159| 99°73 11] 966 1089)7>"> 1341132|19°47| 865886 832 1519 a73 167 9845] 966 3623 42.23 033 8911} 1342300 19.47 eae 15 1830 2883 3 10.167 8481|9.966 6157 42.23 033 6377] 134346 19.48 4 ES 14 832 4246|72-7? 167 7117] 966 8692/42"? 10.033 3843|10.1344638)!9°4° Speer ne 832 5609 22.72 167 5754 967 1225 42.22 033 1308 1345808 19.50 a Ey 12 832 6970 2268} 197 4391| 967 3759 42.23 032 8775] 1346979 19.52 ites & II Bam g 2. |22.68| 107 9030] 987 0290 42-23) 032 6241] 1348151|19'93 3651846 9 4 832 9691 22.67 167 1669] 967 8827 42.23 032 3707] 1349323 19.53 pel ga 9 Ba oe |22.65| "0-107 030919 8 a 42-23) 63a 1173) 1350496] 19-2? eg 833 2408 2.63 166 8950] 968 3893 42.29 10.031 8640}10.1351669 19.95 yee 7 833 3766 99.63} 1667592] 968 6427 42.23 031 6107| 1352844 19.58 Bp 6 833 5122 .60 166 6234} 968 8960 42.22 031 3573 1354019 19.58 oe 5 1833 647 22.60 166 4878] 969 1493 42.22 031 1040} ~=1355194 19.58 peo es 4 833 7833 22.58 166 3522] 969 4026 42.29 030 8507 1356371 19.62 86 44806) 3 le 10.166 2167|9.969 655 42.22 0305974} 1357548 19.62 gre 9 co-sin. dif. 1"" at a i ab ee 10.030 3441]10.1358725 19.62 42.452) 1 . sec. cote : 7 98641275 2 g. |dif.1'’ ean tang. co-sec. dif. 1" ain er % AT 834 1894|>? }22. 834 3246 i 834 4597|° 9-834 5948 ‘ 834 7297 834 8646) °° 834 9994), 835 1341|>>" 835 2688)” 835 5378}? 835 6722 835 8066 835 9408|> 836 0750|*~" 836 3431|~ 836 4771 ; §36 6109|"- 836 7447 ably Baqga7ol O79] oo 7 ALAS 29] 8376790 30 9.837 [ae * ‘ 837 9453|>?" 838 0783 838 2112 838 3441 838 4769 36}9-838 6096 “ 39} 839 0072 4o| 839 1396 839 2719 42|9.839 4041 839 5363 839 6684 A 839 8004 > 839 9323 : 840 0642 840 3276 840 4593 ei 840 5908 4 840 7223|- 840 8537 ¥ ; 841 1162 jf 841 2474 165 5403} 970 9221 .165 4052]9.971 1754 165 2703} 971 4286 165 1354! 971 6818 165 0006] 971 9350 164 8659] 972 1882 164 7312] 972 4413 .164 5967|9.972 6945 164 4622] 9729477 164 3278] 973 2008 164 1934] 973 4539)4 164 0592] 973 7071 163 9250} 973 9602 .163 790919-974 2133 163 6569] 974 4664 163 5229] 9747195 163 3891] 974 9726 163 2553] 975 2257 163 1216} 975 4787 2 .162 9879]9.975 7318 y 162 8544 162 7209 162 5875 162 4542 162 3210 162 0547 161 9217 161 7888 161 6559 16 5231 161 2578 161 1253 160 9928 160 8604 160 7281 160 4637 160 3316 160 1996 160 0677 159 9358 159 6724 159 5407 159 4092 159 2777 159 1463 158 8838 42.20 42.22 42.20 2s 2 4. 976 9979) 7, .162 187819.977 2500 977 5030 977 7960 978 0090 978 2620 978 5149 .161 390419.978 7679 979 0209 979 2738 979 5268 979 7797 980 0326 .160 5959}9.980 2856 980 5385 980 7914 981 0443 981 2972 981 5501 159 8041|9.981 8030 982 0559 982 3087 982 5616 982 8145 983 0673 -159 015019.983 3202 Mo: 42, dif, 1” O17 9441 017 6913 015 9213 015 6685 015 4156 LOGARITHMIC SINES, TANGENTS, 1387197 1388392 13 co-sin, . r L f f dif, 1" -|9.8641 2974) i l } | f : ; | LOGARITHMIC SINES, sin B2 844 3725), fp 844 5018137733 | : | 845 2758 f E 419.847 1991 4. 847 3267 156 1453 156 0158 154 5955 154 4668 153 9529 153 8246 153 0564 152 9286 154 338219.992 4197 988 8816 989 1344 991 6616 991 9143 992 1670 992 6724 994 phe 999 199 5 Mono TANGENTS, co-tang sec, dif, 1” 10.015 1628]10.143065 014 g100 iasriag 20.93 0146572] 1433100 20,35 014 4044) 1434322|2037 o14 1516} 1435545) "36 013 8988] 1436768|>°" 10.013 6460}10.1437992 O40 013 3932] 1439216 nay 0131404) 1440442 aes 012 8877| 1441668 ge 012 6349) 1442894|20'4 012 3821] 1444122 20.47 10.012 1294]10.1445350 sat! o11 8766] 1446579)20-48 o11 6239] 1447808 ao o11 3711} 1449039 eae orr 1184} 1450270 ae o10 8656] ~=1451501 eee 10.010 6129]10,1452734 5055 o10 3601} ~=1453967 43 0101074] 1455201 art 009 8547} 1456436), 58 009 601g] = 1457671|5 0 & 009 3492} 1458907 te 10.009 0965}10.1460144 hey 008 8438] =1461381 as 008 5911] 1462619 Stes 008 3484) 1463856 ete 008 0857] 1465098) °°"¢7 007 8330] 1466338)/7°"ed 10.007 5803}10.1467579 a0; 007 3276] 1468821 sas, 007 0749} 1470064 st 4 006 8222] 1471307 , 006 5695} 1472551 malls 006 3168} 1473796 a ob 10.006 0641]10.1475041 29] 005 8114} 1476287 A! 005 5589} 1477534 ae 005 3060] 1478782 vee 005 0534} 1480030 aoe 004 8007} 1481279 5083 10.004 5480}10.1 482529 6.85 004 2953| 1483780) or 004 0427) 1485031 '8 003 7900] ~=—-1 486283 Ba 003 5373) 1487535).0"°7 003 2846] 1488789|2°"?> 10.003 0320]10.1 490043 icra 002 7793} 1491298 on as 002 5266] 1492554 ses 002 2740] 1493810 wii? 0020213] 1495067 ibe oor 7686} 1496325 oA 10.001 5160}10.1497583 Hud 001 2633] 1498843))""o, oor o107| =1500103 atioh 000 7580] =: 1501363 yee 000 5053] = 1502625 a 000 2527 1503887) 7 5.05 10.000 0000]10.1505150)" * tang co-sec. dif, 1” &c. — 8569341 6a 85681 21]59 8559558)52 8558332] 51 9.855465 48 8553421147 8534902|32 8533662131 9 8524959) 24 8523713}23 8522466} 22 8521218}21 8519970} 20 851872119 9851747118 8516220]17 851496916 8513717|15 8512465) 14 8511211|13 9.8509957] 12 8508702|11 \ * Ns liad a as ~ = a ugh 7 “22 So : - » : ; ; . 2 4 1 : $ b . > 2 - « sm « ri 4 > , - = t F : r “ r » : > ‘ wee wy SOO SO OS OO OD OD OR SH OTS! cw eh ap —_—— S | ISSO OQ Ao mite waolp mn 6 ote = °o ~ 01745|99985]03490|99939]05234 01774/99984}035 19/99938}05263 01803/99984]03548|99937]05292 99983}03577|99 01862/99983]03606/99935}05350 ee _ | | | |) | ys 01891 |99982103635/99934]05379 01920|9998 2103664) 99933}05408 01949/9998 1103693|99932105437 01978/99980]03723/9993 1}05466 02007|99980]03752|99930]05495 os -—_—_—— | | | | | Ls] 02036199979]03781|99929]05524 00320) 99999}02065/99979}03810/99927}05553 00349] 99999}02094|99978103839| 99926]0558 2|99844]073 24 99999} 021 23/99977}03868]99925}0561 1/99842]07353 99977103897|99924]05640|9984110738 2 = | | | SM | ——_— ] —_ — Cn AOR wn rs © Se) NATURAL SINES AND COSINES. 0° 19 sin. cos. sin. 00000 00029 00058 00087 oor16 one one one one one 01832 00145 00175 00204 00233 00262 one one one one one 00291} one 00378 00407 00436 00465 00495 00524 00553 00582 oo6r1 00640 99999|02152 99999]02181 99999}02211 99999102240 99999102269 99998}02 298 99998|02327 99998]02356 99998}02385 00669} 99998]02414 00698! 99998]02443 00727199997 02472 00756 99997}02501 00785) 99997}02530 0081 4/99997|02560 00844)99996}02589 00873) 99996|02618 90902) 99996}02647 00931 |99996|02676 00960 9999502705 00989:99995|02734 o1018 or105 O1134 01164 01193 01222 o1251 01280 99994\02879 99993}02908 99993}02938 99993|02967 99992102996, 99992}03025 99991\03054 99991}03083 01367|\99991/03112 01396, 99990]03141 01425, 99990}03170 01454|99989|03199) 01483 99989,03228 01513 99989|03257 01542)99988]03286; 01571/99988]03316 01600,99987|03345 01629 ,99987|03374 01658)99986}03403 01687/99986|03432 01716 01745 01309 01338 cos. sin. 99976}03926 99976103955 99975}03984 99974|04013 99974|04042 99973|0407 1 9997 2]04100 9997 2}04129 9997 1}04159 99970}04188 99969104217 90 9995904246 99968]04275 99967|04304 99966}04333 99966}04362 99965]04391 99964|04420 99963)}04449 99963}04478 YE | | | ] ——————_ 99995|02763!99962]04507|99898]06250 01047}99995}02792/99961|04536|99897}06279 01076)/99994]02821/99960]04565)99896]06308 99994|02850'99959}04594) 99894)06337 99959}04623 99958}04653 99957}0468 2 99956]04711 99955}04740 99954}04769 99953}04798 99952]048 27 99952104856 99951}04885 99950}04914 99949104943 99948|04972 99947|05001|99875|06743|99772108484 99946]05030/99873}06773\99770)085 13, 99945|05059/99872|06802 99944]05088/99870]0683 1 99943]051 1 7/99869,06860 999421051 46|99867|06889 9976 2108629 99941105175|99866,06918 99935 03461|99940]05205|99864;06947 99985}03490199939105234)99863|06976 cos. | sin. cos. sin. cos. 89°. . 88° S705)... 3° 49 cos. sin. 936}05321 99923]05669 99922}05698 99921|05727 99919]05756 99918]05785 99917]05814 99916}05844 99915}05873 99913|05g902 9991 2/0593 1 9991 1]05960 99910]05989 99909]06018 99907|06047 99906|06076 99905}06105 99904}06134 99902|06163 9990106192 99900106221 99893}06366 cos, sin. 99863]06976 9986 1]07005 99860]07034 99858}07063 99857]07092 99855}07121 99854]07150 99852107179 99851107208 99849107237 99847107266 99846}07295 99839|07411 99838|07440 99836]07469 99834]07498 99833}07527 9983 107556 99829}07985 99827107614 998 26}07643 99824107672 99822107701 99821107730 998 19]07759 99817107788 99815j07817 9981 3}07846 9981 21078759 998 10]}07904 99808}07933 9980607962 cos. 99756 99754 99752 99750 99748 99746 99744 99742 99740 99738 99736 99734 99731 99729 99727 99729 99723 99721 99719 99716 99714 99712 99710 99708 99705 99703 Cw) ~) eo) | | el | 99804}07991 99803|08020 9980108049 99799}08078 99797|08107 99892}06395 99890}06424 99889}06453 99888]06482 99886}06511 99885}06540 99883}06569 9988 2}06598 9988 1|06627 99879}06656, 99878}06685 99876}0671 4 99795}08 136 9979308165) 99792|08194 9790]08 223, 99788}08252 786}08 281 30784 oto 9978 2}08 339 99780}08368 99778}08397 99776}08426 99774\08455 ‘Oo 99768 }08542 sin. 99766}08571 99764|08600,9 99760 08658 99625 99758108687 9975608716 99652 99649 99647 99644 99542 10 + OHOJOvO 0 ind A eee ee Se er See ee ele Re RR RRR Re hee VIDS YH KH NINNHONHNNHNNHINNHHYBHDHD Om. O COO mI AN we eI RR Re HH I eR IOS NYNONINNKHNHNHINDKHNHNDINNHDHD WHWWwwUWlwwowowe 6.0 01:6 oo0lo © Or. 2° Mlo SOOO OOlOD OOO OIlO OOO ODIO DDO OID QO 00100 00 BI wm mm] mm fi ee w]e ° ° —|—- 2/3 Ss ER NS) D o NATURAL SINES AND COSINES. = Eh wo lo way ala aaneanwur|snno of Kl! iw) Ve HO O100 MOUIINADNMUNARwWwWHIYb HH OO tw a ~~ SX Co oo D> oronror _ me oon] Prantl ah oe ~ 64 |e) es ee ee —— ——_——$— a en fn | ef | ee 08716|99619] 10453199452] 12187|99255|13917|99027| 15643) 98769 | 60 99617 g9602}10655 99599] 10684 99596}10713 99594|10742 99591|10771 99588]10800 99586} 10829 99583}10858 99580} 10887 99578] 10916 99575|10945 99572|10973 99570|1 1002 99567|t 1031 99564]1 1060 9955g]1 1118 99556}11147 99553|11176 99551] 1205 09440 09469 09498 09527 09556 09585 09614) 09642 09671 09700 09729 09758 09787 09816 09845 09874 09903 09932 09961 09990 TOOLQ 10048 10077 roro6 10135 10164 1OIg2 10291 10250 10279 10308 10337 10366 10395 i 99545|11263 99537}11349 99534]11378 99531111407 9952811 1436 99526} 11465 99523}11494 99520}]11523 99517|11552 99514} 11580 99508] 11638 99506} 1 1667 99503} 11696 99500}1 1725 99497] 11754 99494}11783 9949111812 99482111898 9947Q}1 1927 99476] 11956 99473|11985 99470| 12014 99464}1 2071 99455)12158 99452]12187 10453 995621 1089 99412}1 2562 9940912591 406|12620 estes nbae 99399] 2678 99396}1 2706 99393}12735 99390|12764 99386]12793 99383}1 2822 99380}1 2851 199377}12880 99374] 12908 99370|1 2937 99548} 11234 99942]11291 99540|11320 9951 1] 1 1609 99467}1 2043 9946112100 99458] 12129199262) 13860 99367|1 2966 99364]1 2995 99360}13024 99357] 13053 99354] 13081 99351] 13110 99347|13139 99344} 13168 99331413283 13312 9932413341 99320]13370 99317|13399 99314]13427 99310}13456 99307|13485 .99303}13514 99300} 13543 99488] 1 1840.99297]13572 99485}1 1869 99293] 13600 |99290| 13629 199286] 13658 '99283]1 3687 99279|13716 99276113744 99272113773 99269] 13802 99265}13831 99258}1 3889 99255|13917 99614] 1051 1|99446| 1224599248] 13975 9961 2] 10540|99443] 1 2274| 99244] 1 4004 99609] 10569|99440] 1 2302|99240| 14033 14061 10482|99449|12216 99251} 13946|99023]15672|98764 99019}15701|98760 99015} 15730\98755 9901 1}15758)98751 990021158 16}98741 98998] 1584598737 98994] 1587398732 98990] 15902|98728 99006 |15787|98746 | 55 at . sf F St ~ OD NCA NE MET ae en ry be weNwS 1S DY BD DI] - ww ww wl wwwwo 99208] 14292 9920414320 99200]14349 99197}14378 99193}14407 99189] 14436 99186} 14464 99182114493 99178}14522 99175|14551 99171114580 99167114608 99163}1 4637 99160} 14666 99156|1 4695 9915214723 99148114752 99144]14781 9914114810 99137|14838 99133} 14867 99129}1 4896 99125}14925 99118} 14982 ggit4jiSorr 99094] 15155 99087}15212 99083]15241 99079|15270 99075]15299 99071} 15327 99067] 15356 9906315385 99059|15414 99055] 15442 99122|14954 991 10} 15040 99106} 15069 99102|15097/98854|16820|98575 99098} 15126 99091415184) 98978}15988) 98714 98973} 16017|98709 98969} 16046|98704 98965} 16074|98700 9896 1}16103)98695 98957|161 32|98690 98953|16160)}98686 98948]16189) 98681 98944|16218)98676 98940] 16246|98671 98936] 16275)98667 98931|16304|98662 98927|16333) 98657 98923]16361 \98919]16390 98914] 16419 g8910|16447 98906} 16476 g8902|16505 98897]16533 98893)}16562 98889} 16591 98884] 16620|98609 98880] 16648|98604 98876} 16677) 98600 98871] 16706/98595 98867} 16734|98590 98863] 16763)98585 98858] 16792|98580 98648 98643 98638 98633 98629 98624 98619 98614 98849] 16849|98570 98845]16878}98565 98847}16906|98561 98832] 16964)98551 98827|16992|98546 98823}]17021|98541 98818]17050/98536 98614 17078|98531 (98809]17107|98526 98805 17136)98521 98800]17164/98516 9905115471 |98796}17193/98511 99047|15500/98791]17222|98506 99043] 15529/98787}17250|98501 99039] 15557/98782]17279|98496 99035] 15586|98778] 1730898491 —_— | EF 98652 | 35 98836|16935/98556 | 15 Se ee PS A ee ee oe [wow we wed lun vy bw a Se Se ae a ee — — a ee ee SST OS OS GS ao SSG eee eae ee oe anita aa ee ea bee ety ao tonto testi sn Oey UbeN = = — = 7 C0 OID OO OHI HHH Hele el ee ee ee ee ee ee be NATURAL SINES AND COSINES. 109° 119 12° 13° 149° Sin. 17305/9848 1} 19081 17393|98476) 19109 17422|98471|19138 17451|98466] 19167 17479|9846 119195 sin. cas, | cos. sin. cos, sin, '98163]20791|97815] 22495 98157]208 20|97809] 22523 98 152]20848|97803}22552 98146] 20877|97797|22580 981 40] 20905) 9779 1| 22608 17508|98455]19224 17537|98450] 19252 17565|98445)19281 17594|98440]19309 17623/98435]19338 17651|98430] 19366 17680) 98425119395 17708 17737 17766 9841 4]19452 98409}19481 98420]19423 98096] 21132 cos, sin, cos, 97437124192|97030 97430] 24220197023 97424] 242.49|97015 97417|24277/97008 97411}24305|97001 98135] 20933|97784] 22637 981 29]20962|97778]2 2665 98 1 24] 20990|977721226g3 98118}21019|97766}22722 98112]21047|97760]22750 98107 21076 97754 22778 98 (01}21104/97748} 22807 97398] 24362|96987 97391|243g90|96980 97384] 24418]}96973 97378] 24446| 96966 9737 1|24474|96959 97365] 24503|96952 97742122835 97735) 22863 97729)22892 980go}2116t 98084]21189 98404} 19509 98399} 19538 98394] 19566 Caer: 19595 98383] 19623 17937/98378]19652 17966/98373)19680 17995|98368]19709) 18023|98362|19737 18052/98357] 19766 17794 17823 17852 17880 17909 98079 21218 98073}21246 98067|21275 97723 22920 97717|22948 97711122977 98061421 303|97705|23005 98056] 21 331}97698]23033 98050}2 1360|97692] 23062 98044] 21388)}97686]230g90 9803g9}21417|97680}]23118 98033]21445|97673) 23146 98027]21474|97667|23175 1808 1|98352]19794 18109|98347]|19823 18138/98341]19851 18166/98336] 19880) 98004] 21587|97642}23288)9725 124982 18195/98331/19908 97998) 216 16|97636] 233 16/97244) 25010 18224/98325]19937 18252/98320}19965 18281/98315]19994 18309|98310]20022 18338|98304]20051 18367|98299]20079) 18395)98294]20108 18424|98288)20136 18452|98283)]20165 18481|98277}20193 18509|98272|20222 18538/98267}20250 18567|98261}20279 18595|98256}20307 18624/98250] 20336 18652/98245)20364 1868 1|98240]20393 18710/98234]20421 18738|98229}20450 18767|98223)20478 18795|98218]20507 18824}98212|20535 18852/98207|20563 18881 |98201|20592 18910\98196|20620 18938) 98 1.g0]20649 18967|98185]20677 18995)98179|20700 19024/98174/20734 19052/98168,20763 97358} 24531)96945 97351}24559| 96937 97345} 24587| 96930 97338} 24615\96923 97331124644|96916 97325]24672|\96g09 973 18] 24700|96g02 97311] 24728|96894 97404 24333 96994 55 97304] 24756|96887 97298] 24784|96880 97291124813)96873 97284) 2484 1|96866 97275] 24869|96858 9802 1]21502|97661]23203 98016] 21530)97655]23231 98010]21559/97648} 23260 97992} 21644|97630}23345 97987|21672|97623]23373 9798 1}21701|97617|23401 97975] 21729/9761 1123429 97969] 21758|97604] 23458 97271 24897 97264] 24925 97257| 24954 96844 96837 96829 96822 97237) 25038|96815 97230] 25066] 96807 97223]25094|96800 97217|251 22196793 97210}25151/96786 26 97963] 21786|97598] 23486 97958] 2181 4|97592] 23514 979521 2184397585] 23542 97946) 2187197579} 23571 97940| 21899197973} 23599 97934] 2192897566) 23627 97928} 21956|97560]23656 97922|21985|97553] 23684 97916} 22013)97547|23712 97910|22041197541]23740 97905} 22070|97534]23769 97899] 22098|97528]23797 97893] 2.21 26/97521|23825 97887] 22155|97515]23853 9788 1]22183)/97508} 2388 2 97875}22212 97869) 22240 97863) 22268 67857] 22297 97851]22325 97845] 2.2353 97839] 22382 97833]22410 97827|22438 97821\22467 97815} 22495 a ola eh 20791 sin. cos. 97502}23910 97496}23938 97489} 23966 97483)23995 97476} 24023, 97470]24051 97203} 25179|96778 971.96) 25207|96771 97189] 25235|96764 97182|25263/96756 97176)]25291|96749 97169|25320|96742 97 162125348|96734 97155} 25376/96727 97148} 25404|96719 97141}25432|9671 2 97134 25460 96795 15 97127}25488|96697 97120]25516|/966g0 97113}25545|96682 97106} 2557396675 97100} 25601 97093} 25629 97086] 25657 97079)25685 97072125713 97065}25741 97058} 25769 —. | cos. — 75° x* 96851] 35 IO slOOOO COLA RH Hele ee epee UENO NINO NHN NIN NNDND WlOWWWW!] WWWWwW!] WRADRMRIBRRARA RI RAROAN ATNaan SlOOOOCO FIle BR ele Re HE BM SIND YU NYN NIN YDNHD 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NATURAL SINES AND COSINES. 420 43° —— 64368} 76530|65694|75395|66999|74237|68 285|73056]69549|71853 64390|7651 165716) 75375)6702 1/7421 7168306] 73036]69570|71833 | 6441 2|76492|65738|75356|67043| 74 1.98|68327|73016]69591|71813 64435) 7647365759] 75337|67064|74 1 78)68349|72996/696 1 2|71792 64457|7645516578 1|75318]67086} 74 1 59|68370| 72976}69633|71772 64479|76436}65803) 75299|67107| 74 139)68391|72957169654!71752 64501|764 17/658 25) 75280]67 1 29/741 20)684 1 2|72937|69675|71732 64524|76398)65847| 7526 1|67151/74100]68434| 7291 7|69696|71711 64546|76380]65869| 7524 11671 72|74080}68455 72897169717|7 1691 64568|7636 1 16589 1|752221671 94/7406 1168476 72877|69737|71671 64590}76342|65913! 752031672 15|74041|68497|72857}69758)7 1650 6461 2|76323}65935) 75 184167237|74022|685 18|72837/69779|71630 64635|76304165956)75 165|67258)74002|68539' 728 17|69800|71610 64657/|76286}65978)75 1 46]67280| 7398316856 1|72797|6982 1/7 1590 64679|76267|66000|75 i 26|67301 |73963}6858 2|72777|69842|71569 64701|76248166022|75107|67323|73944|68603 | 72757169862|71549 64723) 76229166044|75088167344| 73924168624) 72737169883)7 1529 64746| 76210166066} 75069|67366|73904]68645 | 72717|69904)/71508 | : 64768) 76192|66088|75050]67387| 7388568666 | 72697|69925)/71488 64790|76173]66 109|75030]67409|73865|68688 7 2677|69946)71 468 6481 2|76154)66131|7501 1167430] 73846|68709, 72657169966) 71447 64834|76135}66 153} 7499216745 2|73826 68730! 72637|69987|71427 64856) 761 16|66175|74973167473|73806)68751 |72617|70008 71407 64878|76097|66197|74953167495|73787|68772|72597|70029)7 1386 64901|76078)}662 18}74934|675 16|73767/68793 | 72577170049|7 1366 64923}76059,66240|7491 5}67538 | 73747|688 1 4,72557|70070|71345 64945|7604 1|66262|74896/67559| 737 28/688 35 7 2537)70091 |71325 64967|76022}66284|74876]67580) 73708|68857,72517|70112|71305 64989} 76003166306} 74857}67602|73688)68878 7 2497|70132|71 284 65011|75984166327|74838]67623| 73669168899) 72477|701 53|71 264 65033/75965,66349|74818]67645)73649/68920|72457}70174|71 243 65055|75946 6637 1|74799|67666| 73629|6894 1'72437]70195|71223 65077|75927,66393|74780]67688) 73610 68962/72417 70215|71203 65100}75908]664 1 4)74760167709| 73590|68983 | 72397|70236|7118 2 651 22|75889}66436) 7474 1|67730)73570]69004|72377}70257|71 162 65144|75870|66458|74722|67752|7355 1169025|72357|70277|71 141 65166|7585 166480) 74703|67773|73531|69046,72337170298/71 121 65188|75832166501|74683]67795) 7351 1169067|72317)70319}71 100 65210|75813}66523|74664]678 16| 73491169088) 72297|7033g|71080 65232|75794|66545|74644|67837|73472|691 09|72277|70360/71059 65254|75775166566/74625|67859| 734521691 30/72257|7038 1|71039 65276|75756166588|74606/67880| 734321691 51)72236)70401|71019 65298|75738]666 10|74586}67901 |7341 316917 2)72216)70422/70998 65320/7571 916663 2/74567|67923| 73393691 93) 72196|70443|70978 65342|75700166653)74548167944|73373|692 1 4/721 76]70463/70957 65364|75680;66675|745 28|67965| 73353|69235)72 156}70484)70937 65386/7566 1{66697|74509|67987|73333169256 72 136)70505)|70916 65408|75642|667 18/74489]68008|7331 4169277|721 16}70525/ 70896 65430) 75623|66740|74470|68029|73294]69298'72095}70546}70875 65452|75604/66762|74451 16805 1/73274 69319,72075 70567|70855 65474|75585|6678317443 1168072|73254169340|72055|70587|70834 65496) 75566|66805|744 1 2|68093| 73234169 36 1|72035]70608 70813 65518/75547)66827| 743921681 15)73215 69382,72015 70628)}70793 65540|75528/66848| 7437368 1 36)73195 69403,71995 70649|70772 65562|75509|66870|7435 3168 15773 175|69424.71974|70670)70752 65584|75490|66891174334 68179/731 55169445 71954|70690)70731 65606!7547 1|66913/74314|68200'73 135169466 71934)7071 1/7071 cos, sin. COs. sin. cos. sin, cos. gin. cos. | sin. St SS ———————————E——EEe ed SS ES 49° 48° 47° 46° wee etm PO iba Pisles Komonccnt Gn Leven 6a 0760-0) cen SOD —_— Le} pn eee > ee —_——— ef Nekve) nan ne enor a oo 00 Ono | ys ww ae ch, ~“~ Y {}01703)42 jlo2119'41 i LOGARITHMS OF Proportional Parts, 84 84 83 81 81 3103342 04 23139 05690! 39 \o8991/35 109 42 35 81 77 173/21 7|260 172|215|}257 170}21 2/255 168}210}252 167 -|285 303)346 300/343 297|339 294|336 292/333 288)330 326 324 321 317 315 SD 309 306 304 284 281 278 276 273 270 268 266 184) 220 182/218 147 145 263 261 259 257 254 181/217 179|214 178}213 I41|1 76) 211 140}175|210 145 143 142 12710133 13033/33 13354)32 1367232 |13988)31 Nn} 14301]32 14613)31 114929131 1)'15929/30 it) 1534/30 1 15836)30 16137)\30 1) 16435}30 1 16732129 1) 17026/30 Ht) 17319)29 17609} 29 17898) 28 18184}29 18469} 29 18759}25 19033)28 1931 2/28 65] 98 65) 97 64| 96 63} 95 63) 94 63} 94 62| 93 61} 92 61} gt 60} 91 61} 91 139 138 137 136 134/168) 202 134 133] 166)199 132|165|197 131|163)196 130) 162]195 193 191 190 188 188 186 184 183 18t 181 253 250 248 246 245 243|277|312 241|275| 309 239] 273/307 237|271|304 235) 268]302 234|267 232|265 230|263 228/261 227/259 300 297 295 293 291 me 9| 182 NUMBERS. Proportional Parts, Sea ——— | | ee el 161|20683]27|54|80 162)20952]26/53/80 164 165 166 167 168 169 170 171 172 173 2174827 22011}26 2227226 2253126 22789}25 23300}25 23553125 23805]25 24055}25 24304)25 24551425 24797}25 25042)24 25285)25 25527124 25768124 26007] 24 26245]24 26482123 26717|24 26951124 2718423 27416|23 27646123 27875|23 28103]23 28330|23 28556] 22 28780]23 175 176 D7 178 tof 180 181 183 184 185 186 187 188 189 190 1g! 192 193) 194 23045/25|5 50/75 49|74 50|74 49|74 49|73 49 2251257 223}255 921/253 220/251 219/250 216/247 215/246 213/244 212/242 211/241 60) go Tr 60} 89 59| 88 5g} 88 58| 87 57\ 86 57; 86 57) 85 56] 85 56) 84 56| 84 545] 83 1959028 19866}27 20140 27 1 a Los, 55) 89 54| 82 alg 58) 87/11 14l 112\14o0|168 1£2)139)167 110/138)166 110)137|164 109 es 5 6 209| 239 208} 238) 2 206) 235 205}234 203}232 202/231 201/229 200} 228 198} 227 197/225 196) 224 195|223 193|221|248 192|219|246 190|218}245 “7 pp: Proportional Parts. 37 195 196 2922622 197/294 47|22 198 29667]21 199 29885}22 29003}23}: 136)163 134|161 133!160 133}159 133}159 132]158 130/156 129/155 129}155 128)154 a 3 178 2 |177 190]217/244 188}215}242 187}213}240 186} 212/239 185}212/238 184}2 183)2 181 181 fled 204/229 202/228 201/226 200]225 199}224 198|223 197/222 196)221 195219 194)218 193/217 191/275 1g1l214 190/213] 188)212 176 175 174 173 173 172 170 170 165 188}o11 187/210 186/209 184/207 184/206 164 163 162 161 161 112|134 T10/132 L1o]132 fe They TOQ|I3I 200 201 202 203 | 204 205| 206, 207 208 209 210 30320)21 30535122 30750}21 31597}21 31806)21 32015}20 32222)21 32428)21 32634}20 32838)20 33041}21 30103)22/4- Al GI 4I 4I 4I 41\62 4 108/130 108]129 108] 129 128 128 127 126 51126 125 124 124 124 122 1292 1 S17 219 l N.| Log. (33244)20|40 33445)20)41 33646}20|40 218\33845}20|39 34044}]20|40, ie oi) 60 61 60 39 60 80 79 80] gg|119 + * 121 LOT|T21 TOO|120 arabe he: 66 183|206 182/204 181|203} ,179/202 179/201 178|200 160 159 158 157 157 156 154 154 153 153 152 151 150 149 149 148 147 147 146 145 144 144 143 142 142 141 I4t 140 139 139 ea I7OITOI 170|191 168/189 168} 188 167/188 166) 186 165 165 163 163 162 Proportioual Parts. LOGARITHMS OF NUMBERS. Proportional Parts. Mh MAR PE 79.99|119 | 138 79198|118 | 138 78/98} 118 | 137 78|98|117 | 137 77|97| 116 135 977/97) 116 | 135 g6\115 | 134 g5|114 | 133 96|115 | 134 g4|113 | 132 g4|t13 | 132 'g4|113 | 132 75\93|112 | 131 93|111 | 130 74\92|111 | 12g 8 158/178 157 157 156 155) 154| 153 152 153 151 151 150 149 148 148 N. 280 281 282 283 284 Log. 44716 44871 45025 45179 45332 7291 37475 37658 37840 Ii! Ito 110 I0Q 109 9? 129 92 129 128 127 127 147 147 146 145 145 38021 38202 38382 38561 38739 129 126 125 125 124 109 108 BB 38917 39094 39270 |) 39445 39620 39794 39967 4o140 4o312 4\40483 40654 40824 40993 41162 41330 41497 41664 41830 41996 42160 124 123 123 123 122 oN 121 121 120 120 119 119 118 118 117 145|163 144 143 142 142 141 141 140 140 139 139 139 138 137 137 136)153 136 135 134 134 117 116 116 115 115 42325 42488 42651 42813 42975 114 114 114 114 FAS 43136 43297 43457 43616 43775 43933 44091 277144248 278|44404 A 279|44560 N.| Log. 16 = 41606 il 07 Proportional Parts. 125|141 125|140 8 9 338 339 N. (48144 48287 48430 48572 48714 48855 48996 49276 49415 49554 49831 49969 50106 50243 50379 53020 Log. 49136 | 14 49693 | 14/28 Proportional Parts, = 4 5|6 718 ——_} —_ Jj} —— | —— | —— } —- | -—— |S I 15131146 15131146 15131146 15}30|46 15|30 16/31 39 38 38 Proportional Parts. 106) 121} ry 106) 121/43) § 105|120}12 1 —h Te a SL ES = oy or —|— «| —— | : LOGARITHMS OF NUMBERS. 291 : Proportional Parts. Proportional Parts. 'y eee ES a N. Log. AS eS | RG SRS oa) A ols Mae ¢ OLN aaa ES ged \ 38 | 51/64/76 | 89| 102]115 400)60206 | 11]22|33 | 43/54 65 | 76/87/98 {i 39 | 51/64/77 | 89, 102|115 401 60314 | 11}22!33 | 44)55 65 | 76/87/98 Nis 38 | 50/63/76 | 88) 101/114 40260423 | 10|21|/32 | 43|54 64 | 75|86/97 38 | 51/64/76 | 8g) 102|114 403 60531 10} 21|32 | 43/53 64 | 75|86|96 | 4 38 | 50/63/76 | 88) rorj113 404 60638 | 11}22)32 | 43/54 65 | 75/86!97 38 | §0,63)75 | 88) roo} 113 40560746 | 10|21|32 | 42)53 64 | 75'85|96 ! i 37 | 50/62/75 | 87|/1o0|}112 40660853 10}21|32 | 42)53 64 | 74/85|96 4 37 | 50/62/75 | 87) 1ooj112 407 60959 | 11|22|32 | 43/54 64 | 75/86/96 ' 37 50/62 75 | 87| 100/112 408/61060 11/21|32 | 43|53 64 | 74|85)96 t 37 | 49,62|74 | 87| 99|111 40961172 | 11}22|32 | 43/53 64 | 75/85) 96 $)10/54407 37 | 49/62/74 | 87| 99]t11 41061278 | 11/22/32 | 43/53 64 | 74/85|96 41/4531 4|37 | 49|62\74 | 86) ggitit 411/61384 | 11}21|32 | 42/53 64 | 74/85)95 4) 2/54654 25}37 | 50/62/74 | 87| ggjt1t 412|614g0 | 10}21|31 | 42/52 63 | 73)/84/94 | 37 | 50|62}74 | 87) ggittt 413)61595 | 11]21)32 | 42/53 63 | 74/84/95 W4'54900 | 13]25)37| 4o}62]74 | 80] g8rxx | 414461700) 11) 21]31 | 4a}52/63 | 73/8494 1 37 | 49/61/73 | 85] 98110 415|61805 | 10/21|31 | 42|52|63 | 73|83\94 4137 | 49)}61\73 | 85) g7\110 416|61909 | 11/21|32 | 42/53 63 | 73|/84)94 | 36 | 48/6173 | 85} 97; £09 4t7|\62014 | 10]20|31 | 41|52,62 | 72/83)93 18 37 | 49}61|73 | 85) 97|109 418|62118 | 10]20|31 | 41/52/62 | 72/83}g3 1 23|37 | 49|61)73 | 85) 97/109 41962221 | 11|21|3r | 42/5263 | 73/83}94 1/:0|55630 36 | 48\61|73 | 85} 97) Log 420,62325 | 1o|21|31 | 41/5262 | 72|83/93 451155751 36 | 4860/72 | 84} 96/108 42162428 | 11/21/3r | 41|52.62 | 72/83}93 | 36 | 48|60)72 | 84| 96)108 422\62531 | 11/21/30 | 41|52,62 | 72/82/93 a 36 | 47/59)74 | 83} 95)107 423|62634 | 1oj21}3r | 41/5162 | 72\82\92 36 | 48/60}72 | 84) 95}107 42462737 | 10}20]30 | 41|51\6r | 71/81\92 | 36 | 48|\60!72 | 83) 95) 107 425|62839 | 10}20)31 | 41/51/61 | 71/82\92 36 | 48)59/71 | 83) 95/107 426 62941 | to}20|3r | 41|51 61 | 71/81/92 35 | 47|59\71 | 82} 94) 106 427\63043 | 10)20|30 | 40|51)61 | 71/81\91 35 | 47|59)71 | 82} 94) 106 428'63144 | 11/2131 | 41/51/61 | 71/81 \92 i 35 | 47|58)70 | 82| 94) 105 429 63246 | 10}20|30 | 40/5060 | 71/81 \91 i 12/24/35 | 47|59/71 | 82| 94/106 430|63347 | 10|20}30 | 40/5060 | 70|8t\g1 i 12/24/35 | 47/59.71 | 82] 94/106 431163448 | 10}20|30 | 40|50,60 | 70|80}go 12|24|35 | 47|5g9}70 | 82| 94 105 432|63548 10120 31 | 41'51\61 | 71/81 \g1 35 | 46|58/70 | 81} 93/105 433)63649 | 10)20|30 | 40|50/60 | 70/80|90 ( 35 | 47/5870 | 81} 93/105 434|63749 | 10|20)30 | 40/50/60 | 70|80/g0 35 | 46|58)70 | 81) 93/104 435|63849 | 10}20/30 | 40 50 60 | 70|/80|g0 34 | 46|57\69 | 81} 92)104 436|6394g | 10|20|30 | 39|49)59 | 69|79/89 } 35 | 46/58/69 | 81} 92 104 43764048 | 10}20|30 | 40|50\60 | 70|80|89 35 | 46/58 )\69 | 81) 92 103 438|64147 | 10|20|30 | 4o0|50/60 | 70!80}go 34 | 46|57/69 | 80} g1j103 439|64246 | 10)20|30 | 40|50|60 | 70/80/89 35 | 46|57|6g | 80} 92)to3 440|64345 | 10]20)30 | 40\50|59 | 69)79/89 35 | 46|57/6g | 80] 92|103 441\64444 | 10|20}29 | 39)49)59 | 69)79)88 34 | 46|57/68 | 80} g1}103 442\64542 | 10|20/30 | 40|49|59 | 69|79|89 34 | 45|57/68 | 79} goj102 443|64640 | 10|20|30 | 40|49)59 | 69|79/89 i} 4/58433 | 11/23)34 | 45/57|68 | 79) 91/102 444|64738 | 10}20}30 | 39/49/59 | 69/78|88 1] 5)58546 | 11}23)34 | 45|56)68 | 79) gojror 445|64836 | 10}20|29 | 39/49/59 | 68)78|88 6)58659 | 11/22/33 | 45/56 67 | 78) gojror 446,64933 | 10] 20/30 | 39|49/5g | 69|78)88 )7\58971 | 11/23/34 | 45/56/67 | 79) gojror 447|65031 | 9\19}29 | 39/48/58 | 68/77/87 H] /$)58883 | 11|23)34 | 45/56/67 | 78} go) 101 448\65128} 9|19]29 | 3948/58 | 68/77/87 Mt '958995 | 1 1|22\33 | 45|56,67 | 78} 89) 100 44965225} 9)19|29 | 38/48/58 | 67|77|87 0}59106 | 12/23/34 | 45)56,67 | 78) Sg)101 450\653ar | to}20\29 | 39/48/58 | 08/77/37 MW! 1/59218 | 11/22/33 | 44/55,66 | 77| 88) 100 451|65418 | 9}19|29 | 38|48|57 | 67)77|86 ie 59329 11/22/33 | 44|55,66.| 77| 88) 99 452)65514} 9\19)29 | 38,48/57 | 67/77/86 /3/59439 | 11}22/33 | 44)55/67 | 78) 8g) too 453\65610} 9}19)29 | 38,48)57 | 67|76)86 MH 4)59550 | tt}22)33 | 44/55)66 | 77) 83) 99 454\65706 | 9)19}28 | 38|47|57 | 66) 76/86 } }5)59660 | 11)22/33 2455 66 | 77| 88] 99 455\65801 10|1g|29 | 38/48/57 | 67/76/86 i 6)59770 | toj21\32 | 43)54)65 | 76) 87) 98 45665896 | 10|20)29 | 39 48)58 | 67/77/86 i /7/59879 | 11)22|33 | 44/55\66 | 77; 87) 98 457\65992} 9\19}28 | 38 47|57 | 66)76/85 ‘ /8)59988 | 11)22)33 | 44 55\66 | 77} 88} 98 45866087 | 9/19) 28 | 37,47 56 | 66|/75)85 10/19/29 | 38, 48/57 | 66;76\85 ] 2'3lalelel7taig 5 Tals atsle! 7 stg Proportional Parts. »| Log. N.| Log. Proportional Parts. i] Te |" 22/33 | 44;55|66 | 76} 87) 98 | 459\66181 292 N. Log. 460|66276} 94 461|66370 462|66464 463166558) 94 464|66652 465|66745 466 66839 467|66932 468|67025 469|67117 470|67210 471|67302 472|67394 473|67486 474\67578 93 94 93 » 1 528 LOGARITHMS OF NUMBERS. N. Log. D. 590/71600] 84 521 83 522 83 523 83 524 595 526 529 §29/72346 N./| Log.|D. 580|76343 581/76418 582|76492 583}76567 584|76641 95 74 83 | 585/76716 586!76790 587|76864 588/76938 589]77012 530|72428 531|72509 532/72591 533172673 534)72754] 81 475|67669 476\67761 477|67852 478|67943 479|68034 535|72835| 81 536}72916 53772997 538)73078 939/73 159} 80 590 591 592 593 594 597|77997 598|77670 599177743 480/681 24 481|68215 482|68305 483/68395 484)68485 485/68574 486|68664 487|68753 488|68842 489\68931 490}69020 69108 09197 69285 69373 540|73239] 81 541173320 542|73400 543|73480 544|73560 545|73640| 79 546|73719 547|73799 548/73878 549)73997 550|74036 551174115 552|74194 553|74273 554174351 5|69461 69548 69636 555/74429 556174509 557|74586 558174663 959/74741 70243| & 560/74819 9 56174896 562)74974 563}75051 564)75128 70329 70415 507|70501 508}70586 509|70672 565175205] 7 566|75289 567|75358 568}75435 569)75511 600|77815 601177587 602|77960 603}78032 604|78104 605|78176 606/78 247 607|78319 608]783g90 609|78462 §10|78533 611|78604 612/78675 613)78746 614|78817 615|78888 616/78958 617/79029 618!79099 619|79169 Log.|D. 640/80618) 68 80686} 68 80754] 67 80821} 68 80889] 67 5 80956] 67 81023} 67 81090} 68 81158} 66 81224] 67 650/81 291 67 81358] 67 81425] 66 81491| 67 81558} 66 Ne Log. D. 700184510) 62 | 760/88081 701|84572} 62 702|84634| 62 703|84696} 61 704|84757] 62 705|84819) 61 706|84880| 62 707|84942| 61 708|85003} 62 709|85065 61 710|851 26] 61 711|85187) 61 712|85248} 61 713)85309} 61 714|85370 61 655|81624| 6 )|81690 81757 81823 81889 ) 81954 82020 82086 3\82151 82217 65|82282 82347 82413 82478 82543 82607 82672 82737 82802 82866 715|85431 716)85491 3} 717/85552 718/85612 719|85673 720/85733 721|85794 722/85854 723/85914 724|85974 725|86034 726 tee 727|86153 728|86213 729/86273 65 | 730|86332 731|86392 732|86451 733|86510 734|86570 82930 182995 83059 83123 53187] 6 735|86629 736|86688 737|86747 {| 738)86806 739|86864 620/79239 621/79309 622|79379 623/79449 624|79518 83251 83315 83378 83442 83506 625}79588 626)79657 627|79727 628/79796 629}79865 83569] 83632 83696} 6 83759 83822 510|\70757 511170842 512170927 513/71012 514}7 1096 515/71 181 8 4 516}71265 517171349 518/71433 519)71517 N. Log.|D §70)/75587 571|75664 572 573 630/79934 631|80003 632|80072 633|80140 575 574 576 577 578 57976268 N. Log. D. 634 635 636 637 638 639 N. 80209} 68 83885 83948] 6 84o1t 84073 84136} 62 80277| 69 80346) 68 80414} 68 80482] 68 80550) 68 Log.|D. 84198} 63 84261} 62 84323) 63 84386) 62 84448) 62 N. | Log.|D. 740|86923 741|86982 742|87040 743)|87099 744|87157 802 adil : ee 745|87216 746|87274 747|87332 748|87390 749|87448 804 ca ‘ 63 | 750/87506] 5 751|87564] 5 752187629 753|87679 COAT IY 71 3 755/87795 756|87852 757|87910 758/87967 799\88024 LOGARITHMS OF NUMBERS. 293 ~ Quy ws mh = apg es ee ee eee A On On Oo op! en oA oS 7 z= ) NO w jen) On [oe ! OD ol On on on om os = . : - N. | Log./D. | N. Log.'D. 880 |94448) 50 | 940 |97313) 46 881 |94498| 49 | 941 197359} 46 882 194547) 49 | 942197405] 46 883 194596} 49 | 943 197451) 46 884 |94645| 49 | 944 |97497| 46 885 |94694| 49 | 945 197543} 46 886 |94743| 49 | 946 |97589| 46 887 |94792| 49 | 947 |97635| 46 888 |94841| 49 | 948 |97681} 46 889 94890] 49 | 949 |97727| 49 890 |94939] 49 | 950 197772} 46 891 |94988| 48 | 951 |g7818} 46 892 |95936| 49.| 952 197864] 45 893 |95085) 49 | 953 |97909} 46 894 195134] 48 | 954 |97955} 45 895 |95182| 49 | 955 |g8000} 46 896 95231] 48 | 956 |98046} 45 897 195279] 49 | 957 |980g1) 46 898 |95328} 48 | 958 |98137| 45 899 195376} 48 | 959 |98182| 45 goo |95424| 48 | 960 |98227| 45 gol |95472| 49 | 961 |98272! 46 go2 \95521| 48 | 962 |98318! 45 go3 |95569| 48 | 963 |98363) 45 904 |95617) 48 | 964 |98408) 45 905 |95665| 48 | 965 |98453) 45 906 95713) 48 | 966 |98498) 45 907 95761] 48 | 967 |98543) 45 908 195809] 47 | 968 198588! 44 g09 |95856| 48 | 969 |98632! 45 910 |95904| 48 | 970 |98677| 45 git \95952| 47 | 971 |98722| 45 912 195999] 48 | 972 |98767| 44 913 |96047| 48 | 973 \98811} 45 914 |\96095| 47 | 974 |98856) 44 915 |96142| 48 | 975 |g8goo} 45 g16 96190] 47 | 976 |98945) 44 917 |96237| 47 | 977 |98989] 45 918 95284) 48 | 978 \99034| 44 919 |96332| 47 | 979 |99078} 45 920 |96379| 47 | 980 \99123| 44 921 |96426] 47 | 981 |99167| 44 922 |96473| 47 | 982 |9g211| 44 923 |96520) 47 | 983 \99255] 45 924 |96567| 47 | 984 |99300] 44 925 |9661 4) 47 | 985 |99344) 44 926 |96661| 47 | 986 |99388} 44 927 |96708| 47 | 987 199432) 44 928 |96755| 47 | 988 |99476) 44 929 |96802| 46 | 989 |99520) 44 930 |96848! 47 | 990 |99564] 43 931 |96895| 47 | 991 |99607| 44 932 |96942| 46 | 992 |99651| 44 933 |96988) 47 | 993 |99695) 44 934 |97035} 46 | 994 |99739| 43 935 |97081| 47 | 995 |99782| 44 936 197128] 46 | 996 |99826) 44 937 |97174| 46 | 997 |99870) 43 938 |97220| 47 | 998 |99913} 44 939 197267) 48 | 999 \99957) 43 N. | Log.|D. | N. | Log.|D. Diff. and Proportional Parts. D.)1)2|3 | 4)5;6 | 7) 8/9 94] 9|19|28 | 38]47/56 | 66 7585 93] 9 |19|28 | 37/47/56 65 74/84 9219 18/28 | 37/46/55 | 64 74/83 gt | 9 |18)27 | 36)46)55 | 64/73/82 90] 9 |18]27 | 36/45|54 | 63.72/81 89] 9 |18]27 | 36/45/53 62.71\80 88] 9 |18}26 | 35)44/53 | 62 70179 8719 [17/26 | 35/44/52 | 61,7078 86] 9 |17/26 | 34|43)52 | 60 69/77 851 9|17/26 | 34/43/51 | 60 68/77 84} 8 |17/25 | 34)42/50 | 59 67/76 83}8 117/25 | 33/42/50 | 58 66)75 82 | 8/16/25 | 33/41/49 | 57 66/74 81 | 8 |16/24 | 32/41/49 | 57 65)73 80 | 8 |16/24 | 32/40/48 | 5664'72 79 8 |16)24 | 32\40\47 | 55 63)71 78 | 8 |16)23 | 31/3947 | 5562)70 97 | 8 |15}23 | 31/39146 | 54 62/69 76] 8 |5|23 | 30|38146 | 5361/68 | 75| 8 |15}23 | 30/38145 | 536068 94| 715122 | 30/37/44 | 525967 93| 7 |15|22 | 29/37|44 51 5866 72|7 |14|22 | 29)36'43 50 58,65 7117 |t4\21 | 28/3643 Si 70|7|14j2t | 28/35/42 49 56/63 69| 7 |14)/20 28/35'41 | 48 5562 6817 |14/20 | 27134141 | 4854/61 67| 7 |13]20 | 27/34\40 | 475460 66 | 7 |13|20 | 2633\40 | 4653/59 65} 7 |13}20 | 26/33/39 | 4652/59 64} 6 \13]19 | 26/32/38 | 45 51/58 6316 |13l19 | 25)32)38 | 44 50/57 6216 |12119 | 25/31/37 | 43 50,56 61 | 6)r2118 | 24/31/37 | 43.49/55 60,6 {12118 | 24/30,36 | 42 48/54 59 | 6 |12\18 | 24/30/35 | 41 47)53 5816 |r2\17 | 23)29 35 | 41 4652 5716 ]11|17 | 23}29 34 | 40 4651 5616 |t1/17 22/28/34 39 45:50 5516 |11/17 | 22/2833 | 39 4450 541 5|11|16 | 22/27/32 | 38 43/49 53|5 i116 | 2112732 | 37 42148 5215 |rol16 | 21126 3r | 36. 42)47 51}5\10115 | 202631 | 3641/46 50,5 |1015 | 20.2530 | 35 40,45 49} 5|\toj15 | 20,25,29 343944 | 4815 |tolrgG 19 24 29 34 38:43 4715} g\t4 | 1924128 33 38/42 46|5| 914 | 18/23 28 | 3237/41 4515) g|14 | 18/2327 | 32 36,41 44}-4| 9]13 | 18:22:26 | 31,35'4o 4314 eee 17\22/26 30 34 39 D.i1/2'3 | 4/5\;6 | 7I8l9o Diff. and Proportional Parts. y* 294. ANTILOGARITHMS. ° _ L. |Num/|D. .000|10000 23 .OOI 10023 23 .002 10046, 23 .003 10069 24 .004| 10093 23 .005}10116 23 .006|10139 23 007|10162 24 .008}10186 23 .009 10209 24 .O10|10233, 24 .011|10257123 .012|/10280 24 .013'10304 24 014110328 23 .015'10351\24 01611037524 .017|10399'24 .018/10423 24 O19 10447)24 .075|11885]27 Le 040] 10965] 25 041} 10990} 25 .042/1 1015/26 .043|11041/25 .044|1 1066) 26 .045|11092|25 .046|11117/26 .047|11143} 26 .048|11169}25 .049| 11194) 26 .050|11220}26 .051|11246|26 .052}11272}26 :053}11298}26 .054|/11324|26 .055|11350/26 .056| 11376} 26 .057|1 1402/27 .058/11429]26 .059}11455)/27 -100!12589}29 | - .101|12618/29 | . .102|£2647|30 |. .103/12677|29 | - .104}12706|29 ] . .105}12735]29 | - 14622/33 .106|12764/30 | . .107|12794|29 | - .108}12823}30]. .109}12853)29 | . .110|12882/30 | . .IL1|12912/30]. .112/12942)30 | . .113]12972|30 | . .114|13002/30] . 14488} 33 14521|34 14555|33 14588|34 14655|34 14689|34 14723/34 1479734 14791|34 14825|34 14859|35 14894|34 14928|34 .115|13032]30 |. .116|13062]/30 ] . .117|13092/30 | . .118]13122/30]. T19/13152|31 14962|35 14997|34 15031|35 15066} 35 1510135 .060]11 482/26 .061/1 1508) 27 .062/11535}26 .063)11561}27 .064) 11588) 26 065 27 .066 27 .067 DF .068 a7 .069|11722|27 .070| 11749]27 .071|11776|27 .072|11803|27 .073)11830/28 .074|11858}27 076) 11gr2)28 .077|1 1940] 27 .078| 1 1967/28 .079} 1199528 .122/13243/31 .123]/13274|31 .124|13305|30]. .125|13335|31 |. .126|13366/31 .127|13397/31 .128/13428/31 .129|1345g/31 .130|13490 31]. 131/13521/31 .132/13552/31 .133}13583/31 .134}13614|32 | . .135|13646]31 | . .136|13677|32 .137|13709|31 .£38|13740|32 .139]13772|32 12011 3183/30 | . .121/13213/30]. 15136)35 15171|34 15205|36 15241|35 15276)35 L. |Num|D. .220|16596)38 | - .221116634)38 | . .222|16672/39 | . .223|16711/38 |. .224|16749|39 | . .225/16788] 39 | « .226|16827|39 -227|16866| 38 | . .228}16904) 36 | . .229|16943)39 | - .230] 16982) 40 | .231]17022|39 | . .232]1'7061|39 | .233]17100}40 | . .234|17140|39 | . .235]17179|40 | - .236]17219|39 | - .237|17258]40 | « .238]17298}40 | - .239|17338)40 | - .240|17378)4o | . .241|17418}40 | . .242|17458|4o | . .2.43|17498|41 .244}17539)40 | . 15311/35 15346|36 15382|35 15417|36 15453}35 15488) 36 15524|36 15560|36 15596/35 4\15631|37 .245|17579)41 .246|}17620/40 | . .247|17660}41 .248/17701/41 -249|17742|41 .250|17783/41 .251/17824/41 .252|17865/41 .253}17906)41 .254|17947|42 15668|36 15704|36 15740|36 15776|36 15812/37 "020 10471 24 .080|12023]27 .I40 4i32). 15849 36 .313)2055¢ .31 4) 206068 .255|17989|41 ; .256|18030}42 | . .257|18072/41 |. .258)18113}42 |. .259|18155|42 | - .260 18197 42] .320 .261|18239)42 | . 4 .262|18281/42 | .322/20989 .263]18323}42 | .323)2103 i .264] 18365] 43 9 .265|18408|42 |. .266| 18450] 43 | . .267|18493|42 |. .268|18535)43 | . .269|18578)43 | .< .270|18621|43 | . .271|18664|43 | . .272|18707|43 | . .273|18750|43 | . .274|18793|43 .275|18836|44 | . 276] 18880}43 | . 15885/37 15922|37 15959|37 15996|36 116032|37 16069|37 16106/38 .I4I 32 142 a the 143 oath 144 9/321. 145 32 .146 eos Te -I47 3247 .148 33). 16144|37 149 32 16181|37 .150 = toy aA 16218|37 151114158133 16255\38 .152|r4rgt|32 | .212/16293|38 .153)/14223/33]. 16331/37 .154}14256}33 | . 16368|38 § be Je) sath: 16406|38 156) 14322133 | .216;16444)38 157 55133]. 16482|38 | .277|18923) 44 | . 158 oo 16520/38 | .278|18967|44 | . .159}14421 mb 16558 a IQOIT a .081/12050/28 .082/12078} 28 .083'1 2106} 28 .084/ 12134} 28 .085|12162/28 .086}12190\28 .087/12218)28 .028 10666, 25 | .088)12246/28 .029 10691}24 | .089/12274|29 .030 10715)25 | .0g0}1 2303/28 .031'10740}25 | .0g1|12331|28 039 Taga a8 ; 12359|29 .033 10789)25 |. 12388) 29 .034 10814)25 4\12417|28 .035 10839 2a hs 12445|29 .036 10864}25 | . 12474} 29 .037 10889] 25 | .097/12503}28 .038 1091.4}26 | .0g8|12531|29 | .039 1094025 | .ogg| 12560 4 .021:10495 25 .02.2'10520 24 .023 10544 24 .024 10568'25 025 10593)24 .026 1061 7;24 £027 1064 1|25 L. | Num'D. L. |Num/|D. | Num/|D. Le Num/|D.| L. Num D. ANTILOGARITHMS. 295 L. |Num/D. — — | —-—_—————— } ——_ © $3.24917|57 cree 5|/24831|58 6, 24889|57 7 7\24946 57 » /8/25003)58 | +'9}25061,58 i" Sum .402|25235/58 .403}25293)58 404)25351|59 .405|25410 58 406} 25468/59 .407|25527/59 .408) 25586) 59 .409| 2564559 .410|25704/59 .411125763|60 412}25823/59 .413)/25882|60 414 25942 60 .415|26002|60 .416|26062|60 .417|26122\60 .418|26182\60 .419|26242)61 L. | Num|D. .460|28840]67 .461|28907|66 .462|28973/67 .463/29040|67 .464 29107 67 .465|29174)68 .466| 29242/67 467) 29309167 .468) 29376|68 469} 29444|68 .470|29512|68 .471|29580)68 472) 29648|69 .473|29717|68 .474|29785|69 475} 29854|69 .476) 29923|69 477| 2999269 478} 3006169 .479|30130|70 .430|26915)62 .431|26977/63 .432|27040\62 .433)|27102\62 .434|27164|63 .435|27227163 .436) 27290/63 .437|27353)163 .438|27416|63 439 27479|63 .440|27542/64 -441|27606/63 .442|27669|64 .443|27733|64 444|27797\64 -445| 2786164 446|27925)65 .447|27990|64 .448|28054/65 .449)28119|65 .450|28184/65 .451|28249)65 .452|2831 4/65 .453| 28379|66 .454|28445)65 .455)|28510|66 .456|28576)66 .457|28642 66 .458| 28708 |66 459|28774 —_ — |» —————_| —————_ p.| L. .420|26303)60 .421|26363)/61 .422|26424\61 .423)26485)/61 .424|26546/61 .425)|26607|62 .426| 26669)/61 .427|/26730|62 .428/26792/61 .429}26853|62 .480|30200|69 .481|30269)'70 -482|30339|70 .483|30409|70 .484|30479|70 .485|30549|71 .486| 30620/70 .487|30690|7 1 .488/30761/71 489 30832|71 66 .495\31 261 72 .490|30903]71 .491\30974|72 -.492|31046)71 .493\31117|72 .494|31189|72 .496|31333)72 497|31405|72 .498|31477|73 .4599,31550}73 .507|/32137174 508) 32211174 509 32285/74 510|32359}75 511|/32434)75 512/32509/75 513'32584/75 EA 32659 75 “515 32734 36 516 32810\75 517/32885|76 .518)32961|76 .519)33037|76 L. | Num|D. Diff. and Proportional Parts. RAKRRIRAR RW OWWWWi WwWwWWNly vl] eH &| OIINIIY INIA AAADAD ADU aAMaaanl a wie 6 kaso ori60 ol o0-00~7 4 23 fea on ch oulhchenigh en cal cae 5 IO|IG 15/23 Pate 4A, 7|8 9 16,18]21 17|19}22 Hae 26 23 29}35 24.29/35 24 30/36 24 30|37 bY 5 do 4 25 31|38 26 32/38 26 32|39 26 33/40 27 33|40 27 34)41 28 34|41 28 35/42 28 35)43 29 36|43 29 36|44 30 37/44 30 37 45 30 38/46 4 Tis 516 30)34)39 31}35|40 31|36|4o 32/37/41 33}38|42 34}38}43 34)39}44 35)40145 36}41146 | 36142147 37142|48 38/43/49 38/44/49 39|45|50 4o|46|51 41,46}52 41147|53 42|48|54 43)49|55 43)}50\|56 4450/57 45)5 1158 45)\52|58 46|53)59 47|54|\60 48/54)61 48/55)|62 49, 56)63 5057/64 50|58/65 51/58/66 52)59|67 52:60|67 5361/68 71819 Diff. and Proportional Parts. 296 ANTILOGARITHMS. 1. New Proportional Parts. 1k ion Proportional Pats a, Ly.2 3° f 4B, 1271-8) 9 Ae SP te) 8.1 Ae 520\33113 | 8}15)23 | 31}38/46 | 54/61/69 580/38019] 9}17}26 | 35/44 53 521|33189 | 8}16\23 | 31/39/46 | 54/62\69 581/38107 | 8117/26 | 35|43 52 522|33266 | 8)15)23 | 31138146 | 54/61/69 582/38194] 9)18}27 | 36/44 53 523'33343 | 7\15}23 | 30)38)46 | 53/61/69 583|38282 | 9)18)27 | 36,45 53 524133420 | 7}15,23 | 30/38/46 | 53/61/69 584|38371 | 9/17/26 | 35/44 53 525|33497 | 7}15}23 | 30/38] 46 | 54/61/69 585|38459 | 9/18)27 | 36/44 53 526|33574 | 7/15) 23 | 31|38|46 | 54/62/69 .586)38548 | 9)18/26 | 35/44 53 527|3365r | 8/16}23 | 31}39)47 | 54;62)70 587|38637 | 9)17/26 | 35|44 53 528133729 | 7/15, 23 | 31/39/46 | 54/62/70 588|38726 | 9/18/27 | 35/44 53 529|33806 | 8/16) 24 | 32)39/47 | 55 63/71 589}38815} 9/18)27 | 36/45 54 530|33884 | 8}16!24 | 32/3947 | 55|63)71 .5g0|38905 | 8/17/26 | 35144 53 531\33963 | 7}15)23 | 31}39/46 | 54}62)70 591|38994 | 9)18)27 | 36/45 54 532/34041 | 8|15}23 | 31}39/47 | 55|63)70 .592|39084} 9}18|27 | 36/45 54 533)34119 | 8)16)24 | 32)40/47 55\63)71 593)/39174} 9)18)27 36)45 54 534)34198 | 8}16)24 | 31/39/47 | 55/63)71 594|39264 | 10/19/28 | 37|46 55 “5 35|34277 | 8}16)23 | 31|39/47 | 55|63)71 595}39355 | 9}18)27 | 36/45 54 536|34356 | 8]16)24 | 31)39/47 | 55|63)71 596|39446 | 9)18}27 | 36/45 54 537/34435 | 8)16|24 | 32|40)48 | 56)63)71 597|39537 | 9}18/27 | 36/45 54 538/34514 | 8)16)24 | 32)40)\48 | 56|/64)72 .598}39628 | 9/18/27 | 36/45 55 539134594 | 8|16124 | 32140148 | 56)64|72 599139719 | 9|18|28 | 3746.55 540|34674 | 8|16}24 | 32|40/48 | 56)64}72 600)39811 | 9\18)27 | 36,46 55 541|34754 | 8)16)24 | 32)40|48 | 56)64)72 .601}39902 | 10)19/28 | 37/46 56 542|34834 | 8}16)24 | 32)40! 48 | 56/64)72 60239994 | 10) 19 28 | 37/4756 543)34914 | 8}16)24 | 32)40/48 | 56,64)72 .603|40087 | 9/18/27 | 37|46 55 54434995 | 816} 24 | 32)40/48 | 56,64|72 60440179] 9\19:28 | 37/46 56 545 35075 | 8|16}24 | 33/41/49 | 57/65) 73 605|40272 | 9}18}28 | 37\46 55 546 35156 | 8)16}24 | 32|41|49 | 57/65) 73 606/40365 | 9 18}27 | 37/4655 547|35237 | 8|16}24 | 33)41149 | 57/65}73 607|40458 | 9,18) 28 | 37/46, 56 54835318 | 8}17|25 | 33/41/49 | 57/65) 74 60840551 | 9/19)28 | 37|47,56 549 35400 | 8]16)24 | 32/41/49 | 57 65)73 609|40644 | 10}19|28 | 38|47,57 55035481 | g|£7)25 | 33/41/49 | 58/66/74 610)40738 | 9)19}28 | 38/47\56 551135563 | 8}17/25 | 33/41/49 | 57/66)74 .611|40832 | 9) 19/28 | 38/47/56 552135645 | 8)17/25 | 33/4114 | 58|66)74 .612|40926 | 9)19)28 | 38)47'57 553 35727 | 9|17|25 | 33/41\50 | 58\66)74 613|41020 | 10]19|29 | 38/4857 554,358 10 | 8|16)24 | 33'41)49 | 57|66)74 614141115 | 9)19)28 | 38)47/57 555 35892 | 8117)25 | 33/42)50 | 58)66)75 615,41210]| 9}19)28 | 38/47|57 556)35975 | 8|17)25 | 33/41)50 | 58/66/75 61641305 | 9}19}28 | 38/47/57 557136058 | 8/16/25 | 33)41|50 | 58/66)75 .617/41400 | 10}19)29 | 38/48/57 558) 36141 8/17/25 33} 42/50 | 58)67|75 .618|41495 | 10) 20) 29 | 39 48 58 .559}36224 git7 25 | 34142)50 | 59/67/75 61941591 | 10,19) 29 | 38)48/58 560|36308 | 8}17)25 | 33)42)50 | 58,6775 .620|41687 | 10) 19/29 38) 48 58 561 |36392 | 8/16 25 | 33)41)50 | 58/67/75 621)41783 | 10)19)29 | 39/48/58 562}36475 | 9/17/26 | 34/42/51 59|68)76 .622)41879 | 10)20|29 | 39/4958 563)36559 | 9,17\26 | 34/43/5t | 59,68) 76 623 41976 | 10, 19}29 | 39 48:58 564) 36644 | 8/17/25 | 34/42/50 | 59/67/76 624|42073 | 9)19)29 | 38/48 58 .565'36728 | 9/17)26 | 34)43,51 | 5g 68)76 625 42170] 9/19/29 | 39'48)58 .566 368 13 | 8/17) 25 34) 42\51 | 59, 68}76 .626 42267 | 10}19,29 | 39 49/58 567|36898 | 8,17/25 | 34)42)5r | 59,68)76 .627}42364 | 1020/30 | 39'49)59 568) 36983 | 8)17)25 | 34)42\5t | 59,68)77 .628)42462 | 10,20 29 | 39 49\59 569|37068 | 9,17}26 | 34]43)51 | 60,68)77 629' 42560 | 10}19,29 | 3949/59 570 37154 |'8)17|25 | 34/42/51 | 59,68)77 630 42658 | 10.20/29 | 39 49/59 | 571137239 | 9.17/25 | 34|43,52 | 60.69/77 .631|42756 | 10) 20/30 | 40 50)59 572|37325 | 9)17|26 | 34/43)52 | 60.69/77 .632|42855 | 10| 20/29 | 39 49/59 573/37411 | 9117|26 | 35}43)52 | 60.69/78 633 42954 | 10\19!29 | 39 49|5g 574|37497 | 9,18)26 | 35/43 52 | 61/69) 78 .634|43053 | tol1g!29 39 49 59 575|37584 | 8)17)26 | 34/43/52 | 60/69/78 635! 43152 | 1020/30 40 5o 60 576|37670 | 9)18)26 | 35)44)52 | 61|70|79 .636| 43251 | 10.20/30 | 40 5o}60 577|37757 | 9)18|26 | 35)44|52 | 61)70!79 637|4335t | 10120/30 40 5o|60 578137844 | 9}t8)26 | 35}44|53 | 61)70)79 638|43451 10120/30 4o 50)\60 579137931 | 9|18|27 | 35/44/53 | 62/7079 639|43551 | 10120130 | 40.5060 | 70185 —|—— | als ately alo — ats alee ge L. |Num Proportional Parts. L. |Num Proportional Parts. aa ANTILOGARITHMS. 297 Proportional Parts, re Winn Proportional Parts. i EE __ 23 |e 782 10|20}30 | 40,5060 | 70)80) go .700|50119 | 11}23/34 | 46 57,69 81] 92 104 10/20/30 | 41/51/64 | 7181} gt .701|50234 | 12}23/35 | 47 58°70 81 93) 104 10/20/30 | 40/51/61 | 71|81) 91 .702|50350 | 12/23)35 | 46/58 70 | 81} 93,105 10]/20}31 | 41/57/61 | 71/81} gt .703)50466 | 12)23)35 | 47)58,70 | 82 93105 rrj21j3r | 415/61 72|82 92 .704|50582 | 12}24|35 | 47/59 70 | 82 941105 1o}20/31 | 41/51\6r | 71/81) 92 .705)50699 | 12}23 35 | 47/5870 | 82] 94/105 10}20)30 | 41\51/64-} 71/83] 92 706/508 16 12|23 35 | 47/5870 | 82) 94)105 10)20|31 | 41/51/61 | 71/82] 92 .707/50933 | 12/24/35 | 47/59 71 | 82) 94,106 10/21/31 | 41|51|62 | 72/82} 92 .708/51050 | 12/24'36 | 48/59 71 | 83) 95.106 10}20/30 | 41/51/61 | 72/82) 92 .709 51168 | 12/24/36 | 47\59 71 | 83) 95 106 AAG | 11/21/31 | 42/52/62 | 72/83) 93 710151286 | 12/24/36 | 47/59 71 | 83 95 107 11/21\31 | 42/5262 | 73/83) 93 .711|51404 | 12/24/36 | 48/60,71 | 83 (5|107 10/20/31 | 41}51\62 | 72/82) 93 £712/51523 | 12124,35 | 47/59,71 | 83] 95} 107 roj21|3r | 41/52/62 | 73'83) 93 -713|51642 | 12/2335 | 47)59.71 | 83} 95)107 1o|20/31 | 41/52/62 | 72/83} 93 .714|51761 | 12)24)35 | 47 59.71 | 83} 95;107 5186 | 10}20/31 | 41/52/62 | 72/83) 93 715,51 880 | 12}24 36 | 48|60,72 | 84) 96,108 1o}2£/31 | 41/52/62 73/83 94 .716)52000 | 12}24 36 | 48|60,71 | 83] 95)107 11/21|32 | 42)52|63 | 73,84) 94 .717/5211g | 12|24/36 | 4861/73 | 85) 97\109 | 10}21|31 | 42|52|63 | 73|84] 94 .718)52240 | 12/24,36 48|60,72 84 961108 10/21/31 | 42/52/63,| 73.84) 94 .71.9|52360 | 12|24'36 | 48)60,72 | 85) 97} 109 rolar\31 | 42/52/63 | 74'84| 95 .720}52481 | 12/24/36 | 45 60,72 84| 97)109 11/21/32 | 42|53)64 | 74/85] 95 .721/52602 | 12/24 36 | 48|60 72 | 85) 97} 109 | rolar/32 | 42/53/63 | 74184] 95. | .722/52723 | 12)24/36 | 49.61/73 | 85) 97|109 10]21/31 | 42/53'63 | 74/85} 95 .723)/52845 | 12|24/36 | 48)60)73 | 85) 97\109 2 | 10]21/32 | 42/53/64 | 74/85) 95 .724|52966 | 13/25 37 | 4961174 | 86} 98)110 6238 | 11/21/32 | 43'53,64 | 75/85) 96 .725|53088 | 13/25/37 | 49,62,74| 86) 98|111 10)21/32 | 42/53/64 | 74/85) 96 .726 5321 | 12}24/37| 49,61173 | 86) 98| 110 10)21|32 | 42|53 64 | 74/85} 96 .727|53333 | 13)25'37 | 50|62!74 | 87]. 99111 10|21|32 | 4353/64 | 75,85} 96 .728/53456 | 13)25/37 | 50,62|74 | 87) ggirit: | 11}21]32 | 43/54/64 | 7586) 97 .729|53580 | 12}24 37 | 4961/74 | 86) 9dlrit 4} 10/21/32 | 43,53'64 | 75/86) 97 .730,53703 | 13)25'37 | 50/62/74 | 87} 99,112 11/22/33 | 44|54'65 | 76:87} 98 £731/53827 | 12/25,37 | 50/62/74 | 87| ggj112 11}22|33 | 44)55/65 76/87 98 .732)53951 | 12 25137 50\62 75 | 87) 100; 112 rrl21\32 | 43,54)65 76,87 97 £733 54075 | 13}25 38 | 50\63)75 | 88/100) 113 11/22/33 | 44|55.66 | 76.87] 98 .734,54200 | 13)}25)38 | 50)63)75 | 88} 100} 113 5111/22/33 | 44)55,66 | 76)87| 98 -735\54325 | 13/25/38 | 50!63)75 | 88}100) 113 11|22|33 | 44/55/66 | 77|88| 99 736)54450 | 13}25|38 | 50)/63176 | 88) 101/113 10/21/32 | 43)54/65 | 76/87} 98 737|54576 | 12/25/37 | 50/63/75 | 88; 100)}113 14129133 | 441551661 97/881 99 | 738154702 | 12|25137 | 50163]75 | 88] 00] 113 11/22/33 | 44)55\66 | 77/88) 99 -739,54828 | 12 25/38 | 50/63/75 | 88)101)113 1122 33 | 44|55'66 | 77/88} 99 .740,54954 | 13}25)38 | 51/63)76 | 8g) 101114 11,2233 | 45,56 67 | 78)89| 100 .741|55081 | 2/25|38 | 51}63)76 | 8g}101/114 11/22/33 | 44|55'66 | 77/89) 100 .742|55208 | 12}25|38 | 51/63/76 | 89] 102/114 11|22|33 | 44)55'66 | 78)8g 100 £743, 55335 | 13:25 38 | 51)64|77 | 89) 102\115 11/22|33 | 44|56/67 | 78,89) 100 “74455463 12/25 38 | 51;63/76 89/102 115 8417 | 11/23/34 | 45|56.67 | 78;go, 108 .745,555g0 | 13 26 39 | 52|64|77 90) 103)116 11|22|33 | 45)56,67 | 78/89) tor 74655719 12125 38 | 51/64}77 | 89 109/115 11{22/33 | 45)56,67 | 78)89 Tor 747\59847 13'96 39 | 51\64,77 99, 103)1 16 11|22|34 | 45|56'67 78)g0 101 .748)55976 | 13, 26)38 | 51\64/77 | 90,103) 116 11|23'34 | 45|57\68 | 79,90 102 749 56105 13,26 394 51 647 go|103,116 11)22|34 | 45/56,68 | 79/90 101 75056934 13,26 39 | 52 65}78ideQ | 104) 117 11)22|34 | 45|56/68 | 79 90,102 .751|56364 | 13, 26,39 | 52/65)78 | gi}104)117 | 11}23)34 | 45}57/68 | 79,91\ 102 .752|56494 | 13,26 39 59/65/78 gI roaera ralo3 34 | 46}57'69 | 80l\gr|103 .753,56624 | 13,26 39 | 59/65)78 | or 104,117 11/23)34 | 46|57/68 | 80!91, 103 754 56754 14 27,40 53,66)79 | 921105, 118 11|23/34 | 46/5769 | 80\91, 103 .755 56885 | 13,26 4o 53 66179 | 92 105,118 19/23)35 | 46)57\69 | 80]92) 103 756 57016 14,27 40 53 66/79 | 921106, 119 9 11|23)34 | 46)57\69 | 80)9t{103 757/571 48 | 13)26,39 | 53,66)79 gatos)! 18 14,78:49888 | 12 23)35 | 46)58\69 | 81\92)104 .758)57280 13.26 39 | 52,66)79 | 92}105\118 MF) 99}50003 } 12}23)35 | 47 45|70 | 8rig3\104 50/5741] 13 26 39 53,66 79 | 92)105|T19 tae pleiglalate lalate fi —| ala al ote | lao > [Nem ( Proportional Parts. L, |Num Proportional Parts. 38 298 ANTILOGARITHMS. Proportional Parts. - Proportional Parts. L. | Num Lie in, a .760|57544] 13) 26) 40 | 53, : L. |Num : 6 rot 8 9 Ly2)3 1) 4; 5] 6 80} 93}106)119 .820/6606g} 16/31/46 61|76| 92 .761|57677| 13)26)40 | 53,66|79 | 93)106\11g | .821\66222 15}30/45 | 61/76} 91 .762|57810} 13/26/40 53'66'80 93)106)120 | .822/66374 16/31/46 | 61|77| 92 | 107 2343 .763}57943} 13/27/40 | 53\67/80 | + 93)107|120 .823/66527| 86/31/46 | 62|77| 92 | 108) 123)538] .764|58076} 14/27/41 | 54.67|81 | 94/108] 121 | 82466681] 15/30/46 | 61/76; 92 | 107/ 123/138) .765|58210| 14/27/41 | 54/67/81 | 94)108]121 | .825/66834 46}31/47 | 62/77} 93 | 108] 424/13 .766|58345| 13)26|40 | 53.67/80 | 94|107/121 | .826/66988] 16/31/47 | 62)78| 93 | 109/124 130) .767|58479] 13|27/40 | 5467/81 | 94)1o8jiar | .827 67143} £5)31]46 | 62/77} 93 | 108)124 13¢ .768|5861 4} 13/27/40 | 54.67/81 | 94|108|121 | .828|67298} 15)31/46 | 62/77] 93 | 108) 124ir .769|58749] 13)27)41 | 54,68)/81 | 95|108}122 | B29 67453! 15|31|46 | 62)78) 93 .770|58884} 14)27!41 | 55'68/82 | 95,109 123 | .830)67608} 46/31/47 | 63/78} 94 .771|59020} 14|27/41 | 54,6882 | 95,109|123 | 83167764} 16/31/47 | 63/78) 94 .772|591 56] 14|27\44 | 55.68/82) 96)109}123 532167920 16/32/47 | 63/79) 94 .773|59293] 13}27'41 | 5468/82 95)109|123 | .833)/68077 16/31/47 | 63|78} 94 .774|59429] 14|28)41 5569 82 96)110|124 | .834)68234] 16/31]47 | 63)78} 94 .775|59566} 14)28/41 | 55.6983 | g6jx10}124 | .835)683g1] 16/32) 47 | 63)79) 99 .776|59704| 13}27,41 | 55,68)/82 | 96j410}123 | .836|68549} 36/31]47 | 63/79) 99 .777|59841| 14|28!42 | 55.69/83 | 97/110|124 | .837/68707] 16|31/47 | 63)79) 99 .778|59979| 14|28!42 | 55/6983] 97|/111/125 | -833/68865] 16/32/48 | 64/80) 95 .779 60117} 14/28/42 | 56/70/83 | 97|111]125 | .839\6g024] 16)32|48 | 64/79) 99 | .780|60256] 14]28/42 | 55.69/83 | g7|114}125 | .840|69183] 16)32148 | 64 Bol 96 .781|60395] 14}28!42 | 56.69/83 | 97/111]125 | .841|69343] 16/32/47 | 63/79) 95 .782160534] 14)28 42 | 56/70/84 | 98]112|126 | .842\69502 16|32|48 | 64/80} 97 .783/60674] 14}28/42 | 56/70/84] 98|112}125 | .843/69663] 16|32|48 | 64/80) 96 .784'60814] 14/28/42 | 56}70/84| 98}112}126 | .844/69823} 16/32|48 | 65/81) 97 .785|60954] 14/28'42 | 56)70\84| 98)112|126 | .845)69984] 16)32!49 | 65/81) 97 .786|6 1094] 14|28/42 | 56)71/85 | 99)113|127 | -846)70146] 16/32/48 | 64/80) 97 .787|61235| 14/28/42 | 56|71/85 | 99/113]127 | -847)70307| 16)33)49 | 65)81} 97 788161376] 14/28/43 | 57|71/85 | 99|113/128 | .848}70469] 17/33/49 | 65)81} 98 .789|61518| 14/28/42 | 56/71/85 | 99)113]127 | .849}70632| 16/32) 49 | 65)81]_97 .790|61660} 14|28|42 | 56/71/85 | 99/143]127 | .850|70795] 16/32/48 | 65)81) 97 .791\61802| 14]28|42 | 57/71/85} 99|114/128 | .851!70958] 16/32)49 | 65/82) 98 .792|61944] 14}29 43 | 57)71|86 | 100|114}129 | 852/711 21] 17/33/49 | 66 82) 99 .793|62087] 14}29|43 | 57}71|86 | 100]114}329 | .853)71285] 17|33/50 | 66 82) 99 .794)62230] 14]29)43 | 57|72|86 | rooj1t5|429 | .854)71450] 16)33/49 | 65 82 98 .795|62373| 15]29/44 | 58/72/87 | ror}115|130 | .855|71614] 17|33)50 | 66/83) 99 .796|62519] 15)29|43 | 58}72|87 | 1orj116)130 | .856)71779} 17 33)50 | 67|83|100 .797|62661| 15)29/44 | 58}73/87 | 101/116}130 | .857/71945] 16)33|50 | 66/83) 99 .798|62806} 14]29/43 | 58/72|87 | 101]116]130 | .858}72111] 16/33/50 | 66/83) 99 .799|/62951| 14]29| 43 | 58/72|87 | 101|116}130 | .859/72277] 17|33|50 | 67/83) 100 .800|63096] 14/29/43 | 58|72|87 | 102|116]131 | .860|72444] 16|33)50 | 66)/83|100 .801/63241| 15}29/44 | 58}73)88 | 102}/117|131 | .861)}72611 16/33/50 | 67/83) 100 -802/63387] 15)29 44 | 58/73/88 | 102)117)131 | .869/72778) 47 34|50 | 67|84] 107 | .803/63533} 15)29'44 | 59/73/88 | 103)117}132 | .663)72946) 17 33/50 | 67/84) 101 .804|63680} 14]29'44 | 58}73|88 | 102/117/132 | .864}73114] 17/34/50 | 67\84) 10% 805 63826} 15|30,44 | 59/74/89 | 103}118}133 | .865|7328| 17/34) | 68)85) 102 .806|63973] 15)30!45 | 59 74|89 | 104]118}133 | .866|73451] 27/34/51 | 68 85}102 .807|64121] 15}29 44 | 59/7489 | 103)118]133 | .867/73621} 47 34/51 | 68)85)101 .808|64269] 15)29:44 | 59!74/89 | 103)118}133 | .868)737g0} 17 34/51 | 68/85) 102 .809|64417 15/30 44 | 59|74|89 | 104)119|134 869173961] 17 34\51 | 68)85)102 810164565] 15}30/45 | 60/75}g0 |. 105}119|134 | .870}74131] £7|34/51 68185} 103 811/64714| 15 30)45 60|75|go | 105}120}/135 | .871/74302| 17|34\51 68/86) 103 81264863] 15)30)45 | 60|75|g0 | 105}120}135 | .872/74473} 17/35/52 | 69,86) 103 .813)65013] 15}30.45 | 60!75|g0 | 105) 120}135 | .873}74645| 17/34/51 | 69)86)103 .814)65163} 15}30/45 | 60}75|90 | 105)120]135 | .874|74817] 17/34/52 | 69)/86)103 815|65313] 15)30|45 | 60}75|g0 | 105/120]136 | .875}74989} 18/35/52 | 70/87|104 .816|65464] 15|30!45 | 60|75\90 | 105|120)135 | .876|75169] 18)35/52 | 70/87|104 .817|65615| 15|30/45 | 60|75}9o | 105] 121/736 | .877)75336] 17/34) 52 | 69/86) 104 .818]65766| 15/30/45 | 60]76|91 | 106}121/136 | .878|75509} 18}35)52 | 70,87} 105 .819|65917| 1631/46 | 61}76|92 | 107|122/137 | .879}75683} 18}35)53 | 70 87|105 1/2°3! 4l516! 7 'e!9 Proportional Parts. Lhels }atete IL. Proportional Parts. Num L. | Num ANTILOGARITHMS. 299 Proportional Parts. * Proportional Parts. ee) S| Or 65! T7, E 1,2;3 4) 6,6 ,7)8)9. } $0 7585817 35/52 |70| 87|105 1221140 157 | .940 87096]20 4o\61 |8t}ro1|r2r |141|161| 181 #.81/76033:17|35)52 |70) 87|105 |122 140) 157 -941 87297 20 40|60 {81} rorl121 |1411/161|181 } 82/76208'17|35|53 |70) 838/105 1a3)t4o 158 | .942 87498}21 41\6r |8t}1orjrar |142|162|182 8 8 376384117 35/52 |70| 88) 105 123'140|158 | .943 87700} 20 40]61 |81|101]121 |142|162/182 | 76560)17 35\53 |70 88! 106 123 141/158 | .944 87902}20 41\61 |8t\102]122 |142)162}183 } 85 76736 18|35|53 |71| 8g) 106 |124/142)159 | .945,88105}20 40)61 |81) 101} 122 142|162|183 86 76913}18 35/53 |71| 89106 |124'142/160 } .946 88308}20/41)\61 |81)102)122 |142|163}183 36|54 |71| 89|107 |125)142|160 | .947/88512 201 40 61 |8r} 102/122 |142|163)183 36/53 |71| 89) 107 |125'143\160 -948)887 16 20 40\61 |51}102}122 |143)163)184 36/54 |72| 8g) 107 |125/143|16r | .949 88920] 21) 41|62 |82)103}123 |144)164]185 190\77625 18/35/53 |714| 89 107 |125)443)161 | .950.89125]21/41/62 |82) 103) 123 |144) 164) 185 'gt|77804|18 35/53 71) 89 107 |125)143|16r | .951/89331]20,41/61 82|/102/123 |144|164|185 92177983 18)36 54 |72) g0)108 |126/144)162 | .952\89536]21/42|62 83} 104|124 |145| 166) 186 (63| 36/54 |72} gol108 |126}144)162 -953|89743) 21/41/62 83} 103|124 |145|165}186 18|36 54 |72| 90)108 |126)/144)162 | .954/89950]20' 41)62 83) 103}124 |145| 166) 186 36|54 |72| go} 108 |126/144|162 955/901 57} 20) 42)62 83; 104|125 |146|166}187 36 54 |72| 9o|108 |127)145)163 | .956 go365}21 42/62 83} 104}125 |146]167|187 |36|55 |73) 91/109 |127|145|164 .957'90573 2142/63 |84' 105/125 |146|167|188 36|54 |73) 91|109 |127|146|164 | .958\90782]21 42/63 84|105]1 26 |146)167}188 37|55 |73| 91\110 |128)/146)165 | .959!90991|21/42|63 |84) 105/126 |147|168) 189 36|55 |73) gtj110 |128)146]165 | .960!91201]21/ 42/63 |84)105]1 26 |147|168) 189 37/55 |73) 92/120 |128)147|165 | .961/91411]21 | 42|63 [85 106)127 [148] 169) 190 37/56 |74} 92)111 |129/148/166 | .962/91622]21|42/63 |84/ 106/127 |1 48/169) 190 '37|56 |74) 93\ 111 |129/148|166 | .963)91833]21/43/64 |85| 106]1 27 | 148) 170/191 37\55 |74| 92\111 |129 £48|166 | .964'92045}21 42/64 |85|106)127 |148) 170) 191 37/55 74) 92|111 |129)148/166 | .965'92257}21 43/64 |85 106/128 |149)170|192 37/55 |74| g3lir1 |130)148)167 .966 | 92470]21)/42|64 85) 106) 128 |149) 170] 192 41 37|55 |74| 92\r14 |130)148|167 | .967/92683}21|43/64 [85/107] 128 |149)171|192 ine 8 Bo9r0 18/37/55 |74) 93|111 |130 149) 167 .968 92897 21/42|64 |85) 107|128 |149)171|192 1909 81096] 19|37|56 |75) 94112 |131]150}168 | 96g 93111]21 43\64 |86|107|129 |150]/171/193 })10,81283|19/37/56 |75| 94/112 |131!150|169 | .970}93325]22|43]65 |86| 108) 129 |151)173)194 { 38|57 76) 94)113 |132|151)169 | .971|/93541]21|43|64 |86 107/129 | 150|172|194 38/57 |75| 94|153 |132|151|170 | .972|93756]22/ 43/65 |87)108)130 |151}173/195 38/57 |76| 95)114 |133/151/170 | .973\93972|22 44/65 |87\109|130 |152)174)195 38/57 |76| 95}114 |132|151|170 | .974|94189) 22) 43/65 87/108}130 |152|174}195 38|57 |76) 95/114 |133|152| 871 | .975'94406]22'44/65 |87|109|131 152|174]196 38/57 176) 95|114 |133|152|871 | .976/94624] 22/43/65 |87)109)131 |152 174|196 38157 |76) 95)114 |133)152|171 | .977/94842]22/ 44/65 |87| 109] 131 |153}175)197 38/57 177| 96}115 |134)153\172 | .978/95060] 22/44/66 |88) 1 10)132 1154 176) 198 38/57 |77| 96|115 |134|153) 172 | .979,95280|22/44|65 |87|109}131 |153)175)197 39/58 |77| 96)115 |135!154]173 | .980/95499] 22/44/66 |88)110)132 |154)176 198 39/58 |77| 96)115 |135)154) 173 | .981|95719]22) 44/67 |89|1 11/133 |155)177|/199 39/58 |77| 97/116 |135}154|174 | .982\95940]22|/44 66 |88) 111/133 |155|177/199 39/58 |77| 96)116 1135}154]174 | .983|96161}22) 45|67 69)111}133 |155)178]200 44|67 |89) 1111133 |155}178)200 45)67 |89) 111/134 |156)}1'78} 200 44\67 \89|111}134 |156)178)201 45'67 |89\112]134 |157|179] 201 45\67 |89\112|134 |157)179)202 245167 |go!112}135 157) 180/202 ‘45167 |go|11 2/135 |157)180]202 45)68 |90!113}135 |158) 181203 5122'45\68 |go| 113/136 |158)181)203 : 2345 68 \g1\113}136 |159)182|204 23 45)68 \g1\114)136 |15g 182) 205 5 ; 5|23 46/69 |9t\1 14/137 | 160) 183) 205 4o|59 |79| 99|119 |139.159|179 | .996|99083]23 46 69 |91 114137 |160!183}206 20 40\60 |79) 99)119 139\159 179 | .997|99312 22'45/68 |g1\11£4|137 |160| 183/206 3120! 40/60 |80/100] 120 |140 160|180 .998}99541 2214568 |g1|114|137 |160}183) 206 20/40|60 |80| 100/120 | 140 160/180 | .999/99770 23|46\69 |92\115|138 |161)184)207 Teese 7 ee i |. (a slave? 8S Proportional Parts. “| L Proportional Parts. 89 77446}18 A A LOGARITHMIC SINES, TANGENTS, &c. go 179° | 19 sin. q-n | tan, cot. q+nj} coasec. sec. | cos. Bits S) Oa! ! AGaot GA, S ~|15.314 Se De a ee: ojinf. neg |57|57 inf. neg | inf. pos.|43 43, inf. pos.Joooo} ten 24186 1| 6.46373 57|57| 6.46373} 1(3.53627|43 43 13.53627,0000 ten | 24903) 2| 6.76476;57|57, 6.76476) 13.23524|43 43}13.23524 0000} ten | 25609 yee 3} 6.94085)57]57| 6.94085] 13.0591 5!43]43,13.05915,0000} ten | 26304|17° 4} 7.08579 57|58| 7.06579]12.93421|42]43 12.93421]0000) ten | 26988 a 5| 7.16270,57/53] 7.16270} 12.83730|42143 12.83730l0000] ten | 27661| 6] 7.24188|57|58} 7.24188]12.7581 2/42 43,12.7581210000} ten | 28324 I 7| 7.30882/57]53| 7.3088 2]12.69118)42 43 12.69118 0000] ten | 28977) ~ 8] 7.36682)/57|58) 7.36682] 12.63318|42143, 12.63318]o000} ten 29621 mat 9| 7-41797|57|58| 7.41797|12.58203 42143 12.58203}0000} ten | 30255 Bei. 10] 7.46373|57|58! 7.46373}1 2.53627|/42143 12.53627|0000 ten 30879 11] 7.50512)57/58! 7.5051 2]12.49488)}42143,12.49488}0000] ten 31495 $e: 12} 7.54291|57|58} 7.54291] (2.45709/42|43/12.45709,0000] ten | 32103 Loe 13] 7.57767|57}58) 7.57767] 2.42233]/42143|12.42233lo000} ten | 32702] 7 14 | 7.60985)57|53) 7.60936]1 2.3901 4|42143 12.39015j0000| ten | 33292 15] 7.63982|57]53) 7.63982] 12.36015|42]43 12.36018}o000] ten | 33875 16] 7.66784!57}58| 7.667851 2.33215|42143'12.33216!0000] ten | 34450 17} 7.6941 7|57}58} 7.69418]1 2.30582) 42143 12.30583|0001|9999 | 35018) 9 18} 7.71900/57}58} 7.71 900} 2.28100]42]43)12.28100}000119999 | 35578) 9°22 191 7.74248}97)58) 7.74248]12.25752/42]43/12.2575210001|9999 | 36131 20) 7.76475)57|58) 7.76476) 1 2.23524|42]43/12.23525!0001/9999 | 36678 21) 7.7859 4)57)58) 7.78595}1 2.21 405|42143 12.21406,0001/9999 | 397217 22} 7.80615|57]53) 7.80615|12.19385|42 43 12.19385!0001 9999 | 37750 23| 7.82545)57/58) 7.82546) 12.17454|42 43)12.17455\0001 9999 | 38276 24) 7.84393 97 38) 7.84394}12.15606!42]43) 12.15607|0001 9999 | 38796 251 7.86106/57/58| 7.86167]12 13833/42143'12.13834|o001 9999 | 39310 26] 7.87870|57]58! 7.87871 12.12129/42143)12.12130}0001|9999 | 39818 27| 7.89509|57}58 7.89510} 12.10490|42)43 12.10491]0001 9999 40320 231 7.91088|57]58) 7.91089]1 2.0891 1142143) 12.0891 2}0001 9999 | 40816 29] 7.9261 2)57 59 7.9261 3}1 2-07387|4 1143] 12.07388}0002!9998 | 41307 30] 7.94084|57]59| 7.940861 2.05914|41|43|12.05916l0002|9908 | 41702 31} 7.95508'57159 ace hs 41143 1764403 0002 a: pti 32] 7.96887|57/59] 7.96889]12.031 11141143] 12.031 13|0009 9998 | 42746 33] 7.98223)57)59) 7.98225]12.01775|41143|12.01777|0002 9998 | 43216 34 7.97520 57 59] 7.99522]12.00478) 41143] 12:00480 000219968 43680 35} 8.00779|57]59| 8.00781]! 1.99219|41143|11.99221lo003|q0908 | 44130 361°8.02002|57 re 8.02004 nei au 41) 43 Miesoee shes ee ison 37} 8.03192)57]59| 8.03194] 11.96806)41}43 11.99808]0003|9997 A304 38] 8.04350|57]59! 8.04353] 1 1.956474 1|43 11.95650/0003 19997 | 45489 39 8.05478 57 59 8.05481}11.94519]41143]11.94522 0003)9997 45930 40) 8.06578)57}59, 8.06581111.93419141143|11.93429|0003 o007 | 46366 41} 8.07650)56}60} 8.07653 nur ee yt 40144| 1 aati pase dl Fees 42| 8.03696/56|60) 8.08700}11.91300/40144] 11.91304]0003 9997 | 47296 43} 8.09718]55|60] 8.09722|11.90278| 40144 11.9028910003 9997 | 47650 44 8.10717)56)60} 8.10720]1 1.89280] 40144] 1 1.89283}0004/ 9996 48069 49} 8.11693]5650) 8.11596)11.88304|40/44/r1.88307|0004 9996 | 48485 46] 8.12647|56|60 8.1265 1}11-87349/40,44| 1 1.87353) 000419996 48806) 47| 8.13581/56|60! 8.13585 11.86415 40144 11.86419/o004 6 | 49304 6.8 48} 8.14495|56)5« itr.’ 4o'44 on Aad 149 | 8.14500) ¢ 1.85500] 40, 44) 11855050004 9995 49708 | 49} 8.15391|56}60 8.15395] 1.84605 40144] 11.846091000414996 5o108 nt 8.16265) 5661 8.16273}11.83727|39'44|11.83732|0005\9995 | 50504 ty 8.171 28/96/61] 8.17133)11.82867/39/44|11.82872|0005 9995 | 50897) 2-22! 52] 8.17971/55}51| 8.17976|11.82024|39|44 11.82029 0005.9995 | 51287, © 53) 8.18793}56/61) 8.18804111.81196)39'44/11.81202!0005 9995 | 51673 6.43, 54 8.19610 56 61 §.19616)11.80384/39]44)1 1.80390 0005,9995 52055) * 55 | 8.20407|56|61| 8.20413!11.79587/39'44|11.99503 oo0Gloaod | Ro4a7, 0°22 56} 8.21189|56/5r] 8.21195 1178805 30 44 F988 rloseelegad ey 6.27 97 | 8.21958/55/61 8.21964]11.78036/3914 11.78042|000619 4 53133) ©: 98 | 8.22713/55)62| 8.92790 11.77280]38/45/1 1.77287 0006. ae 53552 6.15 59| 8.23456/55/62! 8.93469!1 1.965381 38] 45 117654410006 9904 53919, 2-1 60 | 8.24186)55i63| 8.24199|11.75808|38145|11.75814)ov07|9993 | 54289| 0-05 ' _| 4.635. 15.314 10.9} 9.9 8. co q-n cot. tan. q+ni sec. ‘cosec! sin, cos. | d. 17 90° 89° | 91° + ae sec, T7807 | COsets 88° |. LOGARITHMIC SINES, i78° ee | ee | ——_———_ 149729 ' 5or30 1 150527 50920 51310 51696 52079 eh 10.0 20 75808]0007 75090|0007 74384|0007 73688]0007 73004]0008 9993 9993 9993 9993 9992 72331}0008 71668}0008 710140008 70371}0008 69737}0009 691 12}0009 68495 0009 67885}oo10 67289}0010 }[655380r0 661 14/0010 6553g}0011 64971j0011 6441 0]OOTT 63857}0o11 6331 1Joo12 62771|0012 62238}0012 l6r71 110013 6rrg1joo13 60677}0013 601680014 59666joo1 4 5g170joo14 58679}0015 58193|0015 57713}0015 57238}0016 56768}0016 56304}0016 558 44/0017 5538g9)0017 54939}0017 54493\0018 54052]0018 5361 5}0018 53183}oo19) 527550019 5233 1j0019 51g11]0020 9992 9992 9992 9992 9991 9991 9991 9990 9990 9990 999° 9989 9989 9989 9989 9988 9988 9988 9987 9987 9987 9986 9986 9986 9985 9985 9985 9984 9984 9934 9983 9983 9983 9982 9982 9982 9981 9981 9981 9980 51495j0020 51083}oo21 50675|0021 50271|0021 3 49870]0022 49473|0022 49080]0023 48690}0023 48304]0023 479211}0024 475410024 47165j0025 4679210025 4642210026 6.12 46055}0026 6.05 tie? 0026 10.0 0 c sosec 45692 ert. ~ tan. 9980 9979 9979 9979 9978 9978 9977 9977 9977 9976 9975 9975 9975 9974 9974 9974 9.9 .o sin. 88° TANGENTS, 54282 54642 54999 55354 55705 56054 56400 56743 57084 57421] > 97797 58089 58419 58747 99072 59395 59715 60033 60349 60662 60973 61282 61589 61894 62196 62497 62795 63091 4 63385 63678 142979) i 34053|65993 cosec.| tan. be TR 45718154308 45358)}54669 45001|55027 44646)5538 2 44295)55734 4394696083 43600,56429 43257156773 4291657114 57452 42243157788 Argi1|58121 4158115845t 41253}58779 40928}59105 40605/59428 40285)59749 39967|60068 3965 1160384 3933860698 3902761009 38718)/61319 38411161626 38106)61931 37804|62234 B72003979 37205}62834 36909 366 15)63426 36322/63718) 4 36032164009 35457164585 35173|64870 34890}65154 34609165435 34330}65715 33777|66269 33503}|66543 33231|66816 32961|67087 32692}67356 32425)67624 32159/67890 31896|68154 31633}68417 31373]68678 31114}68938 30856\69196 30600/69453 30346}69708 3009369962 29841]70214 29591}70465 29342|70714 29095}70962. 631311 4 35744|64298 j ares 4. 4.13 28849]71 208 san 28605}71 453 28362171697 281 20(71940 4. 05 i - me 456920026 14154910032 ,|32913}0048 We. cot. 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Icosec! d.\ sin. cos. |d.! sec. | cot. |d.. tan. cosec| d,! sin 1ige 60° | 120° 59° LOGARITHMIC SINES, . | d.|cosec} tan. 1373 1393 1414 1435 1456 1477 1498 1519 1539 1560 1581 1602 1622 » 11643 1664 1685 1705 1726 1747 1767 1788 o 8816}7877 0 8795)7906 1 8774/7935 1 8753}7963 _1,873217992 ~ 2 871118020 2 8690)8049 2 8669/8077 3 8648)8 106 3 8627/8135 3 8607)8163 4 8586)8 192 4 856518220 4 8544|8249 5 852318277 “5 850218306 5 8481|8334 6 846118363 6 84408391 7 8419/8419 7 8398]8448 7 8378]8476 8 8357/8505 8 8336}8533 8 831518562 9 8295}8590 9 82748618 9 825318647 10 8233}8675 10 8212/8704 1809 1829 1850 1870 1891 10 81918732 11 8171]8760 rr 8150/8789 11 8130}8817 12 8109/8845 «| cot. 10.2 | 10.0 2 3 3 8 8 9 7 9 10 Ito II It 12 12 13 13 14 14 15 15 16 16 sec. | d. 2123]6693) o 2094|6701) 0 2065]6709} 0 2037|67 16] 0 2008|6724] 1 198016731] 1 195116739} 1 1923]6747| 1 1894]6754) 1 186516762] 1 1837|6770} 1 180816777] 1 178016785) 2 175116793} 2 1723]6800} 2 1694]6808) 2 1666/68 16} 2 1637/6823} 2 1609]6831} 2 158116839} 2 1552/6846) 3 1524]6854] 3 1495|6862| 3 146716869} 3 3 3 3 3 4 4 4 4 143816877 1410]6885 1382/6892 1353]6900 1325]6908 1296]6916 1268}6923 1240|6931 1211|6939| 4 118316947] 4 1155}6954] 4 Igtt 1932 1952 1973 1994 2014 2034 12055 2075 2096 2116 2137 2157 2177 2198 2918 2238 2259 2279 2299 12 8089}8874 12 8068|8902 13 8048]8930 13 8027|8959 13 8006}8987 117 17 1126}6962 1098]6970 17|1070]6978 18} 1041]6986 18) 10136993 14 7956)9015 4 7966)9043} 14 794519072 15 792519100 15 7904]9128 19}0985]7001 19099717009 20)0928]7017 20]/0900}7024 21087217032 15. 7884}9156 16786319185 16 7843)9213 16 7823!9241 17780219269 21/0844 7040 22/0815}7048 2210787}7056 5 5 5 5 5 5 5 5 6 6 6 6 6 93 93 0759}7064] 6 073117071 6 148° cos. “9.9 3307 3299 3291 3284 3276 3269 3261 3253 3246 3238 3230 3223 3215 3207 . |3200 3192 3184 3177 3169 3161 3154 3146 3138 3131 3193 3115 3108 3100 3092 3084 3077 3069 3061 3053 3046 3038 3030 3022 3014 3007 TANGENTS, 10.2 | 9.7* 0|7579|9579 0|7559}9607 11753919635 17518]9663 1|7498|9691 21747819719 21745819747 2|743819776 741819804 7398}9832 7378|9860 735719888 7337/9916 731719944 7297\9972 7277|#000 51725710028 6|7237|0056 6)7217|0084 6)7197]o112 7|7177}01 40 717157|0168 7\7137|0195 8)7117}0223 8}7098}o251 8)7078]0279 9|7058}0307 9|7038]0335 &ec. 10.:2* | 10.0 01042117158 0'0393}7166 1;0365|7174 1|0337|7182 2/0309]7 190 2/028117197 3}0253}]7205 3}0224]7213 4\0196}7221 _4)0168}7229 5lo140}7237 5}0112|7245 6|0084]7253 6)0056]7261 7/0028]7269 7|*#000]7 277 7|997217285 819944}7293 8)9916}7301 9|9888]7309 9|9860}7317 10/983217325 10/9805]7333 11|9777|7341 111974917349 121972117357 12|9693|7365 13/966517373 w Ww wo 3 3 3 ps 4 9)7018}0363} 13}9637|7381! 4 10/6998}0391|13|9609}7389| 4 10|6978]0419 10/6959]0447 11/6939]0474 11/6919}0502 11,6899}0530 12|6879}0558 12|6860}0586 12/6840]0614 13|6820]0642 13/6800}0669 2999 2991 2983 2976 2968 2960 2952 2944 2936 2929 17.7782|9297 18 7762)9326 18 774149354 18 772119382 24 0703}7079] 6 24|0674}7087 25|064617095 25|0618}7103 26/0590]71 11 2320 19 77019410 19 768019438) 19 7660)}9466 20 7640)9495 20 7619}9523 20 759919551 21)757919979 10.24 9.7 _ ~| sec. | cot. 26/0562/7119 26|0534)7 126 27/0505]7134 27|0477|7142 28/0449,7150} 8 28}0421 7158) 8 10,2 d.} tan. cosec d. oo i i i i a 2921 2913 2905 2897 2889 13/6781 0697 14|6761}0725 14)6741|0753 14|6722]0781 15/6702/0808 318/15/6682/0836 15|6663}0864 16|6643}0892 16|6623}og19) 16|6604]0947 14)/9581}7397 14/9553}7405 15]9526}7413 15|9498|7421 16|9470|7429 161944217437 17|/941417445 17}9386)7454 18|9358]7462 18]9331]7470 191930317478 19|927517486 201924717494 20|9219)7502 2019192|7510 21\9164]7518 2191 36}7527 22/9108}7535 22/9081]7543 23/905317551 4 4 4 4 5 [2571 WHNNNINNN SS] Se See NAOnoron| 17/6584}0975 23)9025}7559 17|6565] 1003|24|8997}7567 17/6545! 1030] 18/6526] 1058 18|6506} 1086 24|8970|7575 25/894 217584 25/891 417592 2881 18/648711113 19|6467)1141 2|19|6448}1169 1 9/6.428}1196 20,6409}1224 20)6389}1252 10.2. 9.8% 26|8887}7600 26|/8859}7608 26/883 117616 27|8804)7624 27,8776, 7633 28|8748|7641 10 1*| 10.0 COODOOYIIIYIIYIIYN DADA AWAAMN (mer tp tn enl etn tntin oD! 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Course Dist. 1 Dist. 2 Dist. 3 Dist. 4 Course points deg. | dif. lat. dep dif. lat. dep. | dif. lat. dep. | dif. lat. dep. deg. | points mus ye 1.00000 0.00000]2.00000/0.00000]3.00000]0.09000]4.00000}0.00000] 90° | 8 ty 0.99999) 00436}1.99998| 00873}2.99997} 01309)}3.99996| 01745} 45! | Jo! 99996, 00873} 99992) 01745} 99989] 02618} 99985} 03491] —3o! 49 99991} 91309] 99983) 02618] 99974} 03927] 99966) 05236} 15! | ] ; 0.99985 0.01 745]1.99970 0.03490} 2.99954|0-05236]3.99939|0.0698 11 89° 15’ 99975} 02181] 99952} 04363] 99929] 06544] 99905} 08726} 45! | 30" 99966| 02618] 99931} 05235} 99897] 07853] 99863) 10471} 3o! 49 99953} 03054] 99907| 06108] 99860} 09162] 99813) 12215} 15! | 2 2 0.99939 0.03490] 1.99878 |0.06980}2.99817/0.10470]3.99756 0.13960} 88° ID" | 99923) 03926) 99846) 07852] 99769) 11778] 99692] 15704) 45! | 30" 99905} 04362] 99810) 08724} 99714} 13086) gg619| 17448} 3o! 45' | 99885] 04798] 99770| 09596} 99655} 14393] 99539} 19191] 15! | 4 i 0.99880 0.04907] 1.99759, 0.098 1 4] 2.99639) 0.14720]3.99518)0.19627 7 || 3 . 0.99863 0.05234] 1.99726, 0.10467|2.99589|0.15701}3.99452/0.20934] 87° | : 99839) 05669] 99678} 11339] 99518) 17008] 99357) 22677] 45! | e 99813) 06105] 99627) 12210} 99440} 18315} 99254] 24419) 30! ee 99786) 06540] 99572) 13081] 99358} 19621] gg144| 26161] 15! | = 0.99756 0.06976} 1.9951 3}0.1395 1]2.99269|0.20927]3.99026)0.27903] 86° ; : 99725} 07411] 99450) 14822) 99175] 22233) g8goo} 29643] 45! | 99692| 07846] 99383) 15692] 99075] 23538] 98767; 31384] 3o! : Re 99957} 08281] 99313) 16562} 98970] 24842] 98626} 33123) 15! es 0.99619|0.08716] t.99239|0.17431} 2.98858|0.26147|3.98478 0.34862] 85° Ss 99580 ogt5o} 99161) 18300] 98741} 27450} 98322) 36601} 45! O | 99540} 09585] 99079] 19169, 98619} 28754] 98158) 38338] — 3o! 4 rs 0.99518|0.09802] 1.99037|0.19603}2.98555|0.29405]3.98074|0.39207 78 i: 99497] 100tg} 95994] 20038] 98491] 30056] 97987} 40075] 15! i 0.99452/0.10453 1.98904|0.20906} 2.98357|0.31359]3.97809/0.41811 84° | 3 | 99406) 10887} 98811) 21773) 98217| 32660} 97623) 43547] 45! | f 99357| 11320] 98714} 22641} 98072] 33961] 97429} 45281] 30! | nd 99307) 11754] 98614) 23507) 97921} 35261] 97227) 47015} 15! | 4 3 0.99255/0.12187}1.98509|0.24374]2.97764|0.3656 1]3.97018|0.48748] 83° | 4 99200] 12620} 98401} 25240] 97601] 37860} 96802} 50480} 45! 5 99144} 13053} 98289} 26105 97433) 39158] 96578} 52210 30! | as 99087| 13485] 98173} 26970} 97260] 40455] 96346) 53940} 15! | P 0.99027 0.13917]1.98054|0.27835]2.97080|0.41752]3.96 107|0.5566g| 82° “ I 98965 14349] 97930} 28699} 96895) 43048} 95861) 57397} 49! y 3 #5 0.98918 0.14673 1.97835) 0.29346) 2-96753)0.44019]3.95671 |0.58692 74 | me 98902| 14781] 97803) 29562] 96705} 44343 95606} 59124 30% & 98836 15212 97672 30425 96508} 45637} 95345) 60849] _ 15! ey he 0.98769 0.15643]1.97538)0.31 287) 2.96307|0.46930|3.95075|0.62574] 81° : ie 93700 16074} 97399| 32149] 96099) 48223) 94799) 64297] 49! : 93629, 16505] 97257| 33010} 95886} 49514] 94514) 66019} 30! ee 98556) 16935) 97111} 33870) 95667) 50805] 94222) 67740} 15! : 0.9848 1|0.17365] 1 .g6962|0.34730} 2.95442|0.52094]3.93923|0.69459| 80° | i? 98404) 17794| 96808} 35589} 95212) 53383) 93616) 71177] 45! 30! 98325} 18224] 96651) 36447] 94976| 54671} 93302] 72894} 3o! . : 45 98245) 18652] 96490} 37305} 94735] 55957] 92980} 74610] 15! 1 0.98 163)0.1908 1} 1.96325]0.38 162} 2.94488}0.57243]3.9265 1 0.76324] 79° I iS 0.98079)0. 19509} 1.96157/0.39018}2.94236|0.58527|3.92314|0.78036, 45! | 7 Bo! 9799?| 19937] 95985) 398741 93977} 59810] 91970} 79747] 30! eee 97995) 20364] 95809} 40728] 93714] 61093} 91618! 81457} 15! 2 0.97815)0,20791]} £.95630/0.41582]2.93444]0.62374]3.91 259 0.83165} 78° 1 97723, 21218] 95446) 42436] 93169} 63653] go892| 84871] 45! | Ao" 97630 21644] 95259} 43288 92889} 64932} 90518} 86576} Jo! 45 97534} 22070} 95068} 44139} 92603] 66209} 90137| 88279] 15! 13 0.97437|0.22495}1.94874] 0.44990} 2.9231 1|0.67485]3.89748 0.89980] 77° I 9’ 97338} 22920] 94676} 45840} 92014] 68760} 89352] 91680] 45! Jo 97237| 23345] 94474 46689} 91711} 70034] 88948] 93378} 3o! | 45 97134} 23769] 94268) 47537] 91403] 71306] 88537} 95074] 15! . | P 14 0.97030/0.24192|1.94059/0.48384]2.91089|0.72577]3.88 1 18}0.96769] 76° I} 0.97903)0.242.98}1.94006|0.48596] 2.91009 /0.72894|3.88013)0.97192 65 | a 96923} 24615) 93846} 49231] 90769) 73846] 87692\0.98461; 45! 3o! | 96515] 25038] 93630] 50076] 90444] 75114] 87259)1.00152] 30! | A> 96705) 25460] 93409} 50920} gor14| 76381) 86818] 01841 15/ 15 0.96593 0.25882 1.93185 0.51 764}2.89778 0.77646] 3.86370) 1.03528] 75° points| deg. | dep. | dif. lat.| dep. | dif lat.| dep. | dif lat.| dep. | dif. lat.| deg. Course Dist. 1 Die Dist. 3 Dist. 4 Course; 1) "crs eewaei ciate _ Course nts} deg. —j| —- TRAVERS E Dist. 6 Dist. 5 dif. lat. dif lat.) dep. dep. dif. lat. Dist. 7 Dis TABLE. t. 8 Dist. 9 325 Course dep. 0° |5.0000!0.0000|6.0000 15![5.00v0} 0218}5.9999 30'14.9998| 0436) 9998 45'| 9996) 0654} 9995 1° |4.9992|0.0873]5.9991 15/1 9988} 1091] 9986 30'] 9983} 1309) 9979 45") 9977) 1527) 9972 2° 14.9970)0.1745}5.9963 15'| 9961} 1963} 9954 30'] 9952) 2181) 9943 45'| 9942} 2399] 9931 4.9940|0-2453 5.9928 3° |4.9931|0.2617]5.9918)0.31 40 6.9904) 15!) 9920} 2835) 9904) 3402 9887 30'| 9907| 3052] 9888} 3663) 9869 45" 9893] 3270] 9872] 3924] 9850 4° 14.9878 0.3488 5.9854|0.4185]6.9829 15!| 9863) 3705} 9835) 4447] 9808 30'| 9846) 3923 9815 4708| 9784 45! 9828} 4140] 9794} 4968} 9760 5° 14.9810/0.4358]5.9772/0.5229]6.9734 a oy ool 2 el o!| 9770} 4792] 9724) 5751] 967 4.9759 0-4901|5.971 110.5881 6.9663 45'|_ 9748| 5oog} 9693} 6or1] 9648 6° |4.9726)0.5226]5.9671/0.6272 6.9617 15! 9703) 5443} 9643) 6532) 9584 BSD see) ou | ae 77|_ 99 7092) 991 ” e627 0-6093 5.9553 0.731 216.9478 15/| g600| 6310] 9520) 7572} 9440 | 3A 6743] S441 Soor| 936 9 7 Gare). COOTy Sees 8° |4.9513|0.6959]5.9416|0.8350/6.93 19 15) 9483! 7175) 9379 8610] 9276 4.9459|0-7337 5.9351|0.8804]6.9242 ZB Lar8] Joos sea] gra]. 9185 418| 7606} 9302} 9127 i 4.5384 0.7822]5.926t/0.9386}6.9138 19! 9350} 8037] 9220) 9645] gogo 30'| 9314) 8252} 9177\0.9903} 9040 45" 9278) 8467} 9133}1.0161] 8989 10° |4.9240|0.8682 5.9088|1.0419 6.8937 15'| 9202} 8897} 9042) 0677 8883 30/| 9163) gt12]| 8995} 0934] 8828 0262)6.9999 0524) 9997 0785} 9994 0.1047}6.9989 1309} 9983 1571| 9976 1832] 9967 0.2094|6.9957 2356] 9946 2617] 9933 2879] 9919 0.2944]6.9916 45'| 9123) 9326} 8947 11° |4.908110°9540]5.8898 15'14.9039|0.9755|9-8847 30/] 8g996/0.9968] 8795 45'| 8952|1.0182| 8743 12° |4.8907|1.0396}5.8689 15/1 8862| 0609} 8634 30'| 8815} 0822} 8578 45'| 8767} 1035) 85a1 1191| 8772 1.1449|6.8714 1.1705|6.8655 1962| 8595 2219} 8533 1.2475|6.8470 2731} 8406 2986} 8341 3242] 8274 —| ——_—_ ints] deg. Course _ 13° |4.8719)1.1 248|5.8462 15'| 8669] 1460} 8403 30'| 8618| 1672} 8342| 4oo7| 8066 45'| 8567| 1884) 8281| 4261} 7994 14° |4.8515|1.2096}5.8218/1.4515]6.7921 4.8502|1.2149|5.8202|1.4579}6.7902 15'| 8462} 2308] 8154} 4769) 7846 30!| 8407| 2519} 8089} 5023] 7770 45! 1.3497|6.8206 Ban 7.189 0305}7-9999 0611} 9997 0916} 9993 0.1222}7.9988, 1527] 9981 1832] 9973 2138} 9963 0-2443)7.9951 2748} 9938 3053} 9924 3358} 9908 0.3435]7.9904 0.3664}7.9890 3968] 9871 4273} 9851 4578} 9829 0.4883}7.9805 5188] 9780 5492] 9753 5797} 9725 0.6101}7.9696 6405] g664 6709] 9632 0.6861}7.9615 7013] 9597 0.7317}7-9562| 7621} 9525 7924} 9486 8228] 9445 0.853 117.9404 8834] 9360 9137] 9316 9440) 9269 0.9742|7-9221 1.0044] 9172 1.027117-9134 0347| 9121 0649} 9069 1.0950]7.9015 1252| 8g60 1553} 8903 1854} 8844 1.2155]7.8785 2456] 8723 2756! 8660 3057) 8596 1.3357|7.8530 1.3656}7.8463 3956} 8394 4255) 8324 1.4554}7.8252 4852] 8178 5151] 8104 5449] 8027 1.574717-7950 6044] 7870 6341] 7790 6638} 7707 1.6935}7-7624 1.7009|7-7603 7231| 7538 7527| 7452 782.2 8352! 2730[ 8023} 5276] 7693 15° 14.8296) 1.2941)5.7956)1.552916.7615 “dep. | dif. lat.) dep. | dif lat.) dep. Dist. 5 Dist. 6 Dist. 7 1.811.717.7274 dif. lat. dep. 7364! 034918.9999 1047} 9992 1745} 9979 2094] 9969 2443} 9958 3141] 9931 3490] 9914 3838] 9896 4535} 9855 4884] 9832 5232} 9807 5929] 9793 6277] 9723 6625} 9691 0.6972|8.9658 7320] 9622 7668} 9586 0.784 1|8.9567 8015} 9547 0.8362}8.9507 8709] 9465 9056] 9421 9403] 9376 0.9750|8.9329 1.0096] 9250 0442} 9230 0788] 9178 1.1134|8.9124)1 1479} 9069 1.1738|8.g026}1 1825) gol! 2170] 8953 1.2515}8.8892 2859] 8830 3204] 8766 3548] 8700 1.389218.8633)1 4235) 8564 4579) 8493 4922} 8421 1.5265}8.8346 1.5607}8.8271 594g] 8193 6291} 8114 1.6633}8.8033 6974] 7951 7315] 7867 1.7996|8.7693 8336] 7604 8676} 7513 go15} 7421 1.9438}8.7303 1.9692) 7231 2.0030] 7133 0368] 7034 p Dist. 8 2.0706]8.6933}2 0.3925]8.9892|0. 0.4187|8.9877|0.47 10|87° oO. 7656) 7781/1. 1.9354/8.7327}2. .1868 3294 dit, lat.) dep. | dif. lat.) dep. 0393 0698] 9997) 0785 1178 1963 2356 2748 3533 3926 4318 4416 5102 5494 5886 6670 7061 7453 8235 deg. \points TS | ©.0000]7.0000.0.0000;8.0000 0.0000]9.0000|0.0000]90° 45! 30! 15! 0.1396]8.9986}0.1571 [89° 45! 30! 15! 0.2792|8.9945|0.3141|88° 45! 30! 15! 45! 30! 15! 0.5581|8.9781}0.6278)86° 45! 30! 15/ 0.7844 85° 45! 8626} 30! 8822 9017 o188 0578 15! 0.9408|84° 0.9798| 45! I. 30! 15! 1.0968|83° 1358} 45! 1747 2137 2914 .3206 3303 3691 4467 4854 5O4T 6015 6401 6787 7943 8328 30! 15/ .25.26)82° 45! 30! fay! 1.4079|81° 45! 30! 15! 5628}80° 45! 30! 15! yh or) Cc 1.7558] . 45! 30! 15! 1.8712}78° gog6} 45! 9480 9863 0628 IO1O 1392 T3733 2154 2534 291 4| 30! 15! 2.0246|77° 45! 30! 15! hoe 45! 30! 15! 75° Dist. BB dif. lat. 9 deg. 8 7 73 ~] pi 63 points Course 326 Course deg. ‘159 15! points to to 30° deg. Course points TRAVERSE TABLE. Dist. 1 Dist. 2 Dist. 3 Dist. 4 Course | dif. lat. dep. | dif. lat.) dep. | dif. lat. dep. _ dif, lat | dep. | deg. Poin 0.96593 0.25882 1.93185|0.51764|2.89778| 0.77646 3.86370] 1.03528] 75° 96479| 26303} 92957| 52606] 89436] 78909} 85915} 05212) 45! } 96363] 26724] 92726] 53448] 89089} 80172} 85452| 06895 30! 96246| 27144] 92491| 54288} 88737) 81432) 84982) 08576 be 0.961 26/0.27564]1.92252|0.55127|2.88379|0.82691}3.84505/1.10255 74° | 96005| 27983] 92010) 55966) 88015} 83949) 84020) 11932 45! } 95882} 28402] 91764 56803] 87646] 85205} 83528) 13606 30! 95757| 28820] 91514} 57639] 87271} 86459 83029} 15279} 15! 0.95694 0.29028] 1.91388 )0.58057]2-87082|0.87085 3.82776) 1.16114 6), 0.95630!0.29237] 1.91261 |0.58474} 2.86891 /0.877 12 3.82522|1.16949] 73° . 95502| 29654] 91004) 59308} 86506} 88962] 82008 18617| 495! 95372) 30071] 90743 60141} 86115} go212} 81487} 20282 30! 95240) 30486} 90479] 60973] 85719) 91459}, 80958) 21946) 1 ¥ } 10.95 106 0.30902] .go21 1/0.61803)2.85317|0.92705|3.80423| 1.23607 72° t 94970| 31316] 89940} 62633} 84910] 93949} 79880 25266] 45! ; 94832| 31730] 89665) 63461} 84497) 95191) 79329) 26922 3o! 94693) » 32144] 89386) 64288] 84079) 96432} 78772) 28576 15! if 0.94552/0.32557|t.89104|0.651 1 4]2.83656 0.97670 3.98207|1.30229] 71° f 94409| 32969] 88818) 65938) 83227\0.98907] 77636, 31876 45! f 94264) 33381] 88528} 66761} 82792|1.00142 977057| 33523} 3o! ( 0.94154 0.33689] 1.88309] 0.67378) 2.8 2463) 1.01067 3.76618} 1.34756 i 94118} 33792] 88235) 67583) 82353) 01375 76470| 35167, 15! 5 0.93969 0.34202|1.87939 0.68404] 2.81908} 1.02606]3.75877| 1.36808 70° | 93819) 34612] 87638) 69223) 81457) 03835) 75277) 38447 45! 93667| 35021] 87334] 70041] 81002) 05062] 74669 40083} 30! . 93514) 35429] 87027} 70858} 80541} 06287] 74054 41716 15! _ 0.93358 |0.35837|1.86716,0.71674|2.80074] 1.07510)3.73439| 1.43347 69 4 93201| 36244] 86402) 72488) 79602| 08731 72803} 44975] 495! 93042| 36650] 86084] 73300] 79125} ogg5o] 72167 46600] = 30! |_| 92881| 37056] 85762| 74111} 78643} 11167] 71524) 48223) 1 5! 0.92718/0.3746 1|1-85437|0.7492 1|2.78155] 1.12382}3.70874] 1.49843 68° 92554| 37865] 85108) 75730} 77662} 13595} 70216 51459) 45! l 0.92388 0.38268] 1 -84776|c.76537) 2.77164) 1.14805 3.69552|1.53073] So! 6) 92220| 38671] 84440] 77342] 76660] 16013 68880] 54684] 15! i 0.92050,0.39073}1-84101/0.78146}2.76 151 | 1.17219 3.68202|1.56292] 67° 91879] 39474| 83758) 78949] 75637| 18423 67516} 57898} 45! |= i 91706] 39875] 83412| 79750] 75118] 19625} 66824) 59500] So! | 7 91531} 40275] 83062) 80549] 74593} 20824 66125} 61ogg} 15! | 0.91355 0.4067411 82709 0.81347|2.74064| 1.22021 3.65418] 1.62695} 66° 91176} 41072] 82352] 82144) 73529] 23216] 64705 64288} 45! 90996] 41469] 81992} 82939} 72988} 24408] 63985) 65877 30! g0814| 41866] 81629} 83732) 72443 25598] 63257) 67464 Jl 5! | 0.90631 |0.42262|1.81262/0.84524]2.71899| 1-26785]3.62523] 1.69047 65° jae 90446} 42657] 80891] 85314) 71337) 27971 61782} 70627) 45! | 0.90399|0.42756| 1.80798) 0.8551 1]2.71197|1.28267]3.61596) 1.71022 5} go25g| 43051] 80517] 86102] 70776} 29153) 61034) 72204 30! 90070] 43445) 80rg4o] 86889] 70209} 30334) 60279) 73778 15! 0.89879|0.43837|1-79759|0.87674] 2.69638] 1.31511 3.59518]1.75348] 64° | 89687| 44229] 79375} 88458} 69062] 32687 58749| 76915} 49! 89493| 44620} 78987} 89240] 68480] 33859 57974| 78479} So! 89298] 45010] 78596} 90020] 67894] 35030} 57192| 80039) 15! 0 89101|0.45399)1-78201}0.90798]2.67302|1.36197]3.56403) 1.81596 63° | 88902} 45787} 77803) 91575] 66705) 37362] 55607} 83150 45! |e f 88701} 46175} 77402} 92350] 66103} 38525) 54804] 84699 30! 88499] 46561] 76998] 93123} 65496} 39684 53995| 86246] 15! i 0.88295 0.46947 1-79590|0.93894] 2.64884) 1.40841 3.53179] 1.87789} 62° | 0.88192|0.47 £40]1.76384|0.94279}2-64576| 1.41 419)3.52769) 1.88559 5} 88089} 47332] 76178 94664] 64267) 41996 52356} 89328] 45/ | 87882| 47716] 75763} 95432] 63645) 43148 51527} go864] 3o! 87673] 48099] 75345) 96198} 63018} 44297 50691} 92396] 15! | 0.87462,0.4848 111-74924|0.96962!2.62386| 1.45443)3.49848 | 1.93924 a bo 87250} 48862} 74499| 97724] 61749] 46586} 48998] 95448) 45! 87036] 492421 74071| 98485] 61107) 47727) 48142 969} 30! 86820] 49622| 73640\0.99243| 60460 48865| 47280|1.98487 16° 0.86603)0.50000] 1.73205] 1.00000} 2.59808] 1.50000]3.464 £0| 2.00000 60° _ i dep. | aif Tat |" dep. | dif. lat.) dep. | dif. lat.| dep* | dif. lat. } deg. poi, Dist. 1 > erg aan Wale ae Dist. 4 Course | | | t Course _ sity of. Dist 5 oy dif shea Obits Hi 48006 dep. __ Dist. 6. ERS 82 d 6 E 15! Bach si ieee de a Tae aia al ae S965 7887 ee 4.8063 3572 7818 KS ap'953 1.811 dif. lat.| de eh) ae " 15! 1.3 77 034) 7 5| 8 WNy78 ep. | dif. st. 9 327 30! 8002 rie 5 ee 6286 7454 ake we 2.0706 3 if. lat. I Cou 7941 991| 76 1.653 7372 Atl 10 6933 xe SS 5 45! 78 4201 7603 6 816.72 goo 7090 42! 68 3)2.3904 nea poi 79 44 73 799 88)1 t! 69096 ro? 31 gAITD° nts 17° 4.784 410 g| 704 7203 ban pee : 79] 672 3673 a a 7454 4l 9588 6901 715) 6 71 405 45! 15/ 15\|1.46 4 5.7416 7292 7) Ty 8 ped Ss 621] 4 JI 30! 30! 7791 19|5.73 1.741 7030 dae 6 04} 2386 ‘6514 4430 mo 7986 $035 Psi 7a.ofoogt mates reel gr /V.- . 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Beek 3336 55033 0.8 na 4305 nie 3881 3.095369. | 400519539 5433)2.2961 eeietesaaied 05 9645 seen ae 45! AB ree a : 7 .5230|2.34 relia Bee 34 : fos” 585311998 5127 deetectaas | * [3877 2.033 the 3oaa| ing Pee tly. 364013.195 31013. 44da 45! Aer Spee e 45! 498) 0 ° Poh eh 072| & 12} 336 1580 2845/3 od] 15! ; FF 8 I 5 O16 . Bee 148545 sigh 4043 Soft 847> Burl haces Bee ty 4 + sBigaaibars race gait Bir 3 283.295 5887 aS _ [esto923% ie 2.835016 3442 oe ee 253g.2719)3. 0608 5 sei 28 1526 5 299)-5693 3ideb.gee | 73] ty 6005] 4 Kote 1722 415> 505316327 89} 25033. 1733 7322 of 4 fofop-r9fs 38 6067 SESE I 214 992 Ol I -8036)/69 — ae sie Sons} nif.a91 ae ee Aoi. ae * 4.4530 ano? ee st 2781 3.06867. 1904 ye rey (eas oe ns Ps : 2 . : 30! 4A51 3 900/5.3460 7006 2645 0960 cool ts 1063 746 Fal 53 435 2894 460} 2 250 1234 7JIO 53 8.08 100 pe Wsdo 3087 Aid Dpigisase a7 ee S896 5 Ef : 22 ) : ‘fi 435 ae (LO ela 775] 909 i728 3.015 occu] By 44 Cie te tats 5345 1121 PAE 0509 o! es 341 3656 Opie ea liens 29° 3836 58 8309 1734 -2863}7.-€ | 724 7.9831 1209} 45! 4.3 4o4 2729 gg} 16 4)3.2998 .0636)3 49] 96 155 15/ 931|2.4 49 260 8630 Gok 23 2 7.0554 7558 49| 1 fi 30! 3o! 3625 4240]5.24 4| 885 1517 ee cssqaziohn93 905} 19! ce alaigote Oa a if: 17-937 225 }62° 45! 18 1}))-235 .9089 6 71| 3 0305 7866 534.2 = Bu], 209 9543 12933393 699m Biro} 8905 abo9) 45) oh Joarse oS a e925 ee tie ea ale Dist. 5 ha 1035 9628 rset 8715 4.365901,, Di Stes "ha aaa 91736(3.9607 833 3976 ist. 6 a. hai 06.9282 9697| 8 2| 43 45! That if. lat. ” daa: 4.0000 - 138 wae 30! mi p._| dif. I 7:7942|4.5 of 15! Dist. 8 it.]| dep 4.5000/60° : dep. | dif. lat.} deg. Dist 9 5 deg. - ourse | / 328 TRAVERSE TABLE. __ Course Dist. 1 Dist. 2 , Dist. 3 Dist. 4 points| deg. dif, Jat. | dep. dif, lat. dep. dif, lat. dep. | dif. lat. dep. deg. 30° 0.86603 0.50000] 1.73205} 1.00000}2.59808) 1.50000]3.46410)2-00000] 60° , a 86384) 50377] 72767} 00755} 59151] 51132) 45534} o1510] 45! Jo! 86163 50754] 72326) o15o8} 58489} 52262} 44652} 03015} — 3o! ‘ 45 85941 51129] 71881} 02259] 57822) 53388] 43763} 04517} 15! 25 |. € 0.85773 0.51410} 1.71546) £.02821]2.573 19) 1.54231]3.430g1|2.05641 3] 0.85717 0.5£504]1.71433) 1.03008]2.57150)1.54511|3.42867) 2.06015] 59° 15’ 85491} 51877] 70982) 03755} 56474} 55632] 41965| o7509} 45! Jo! 85264) 52250} 70528} 04500} 55792! 56750] 41056] 08999} 3o! i, 85035) 52621} 70070] 05243} 55106) 57864) 4o141| 10486) 15! 32 ie 0.84805 0.52992] 1.69610) 1.05984|2.5441 4) 1.58976}3.39219) 2.11968] 58° 19! 84573} 53361 69146 06723) 53718} 60084] 38291} 13446] 45! 30 84339) 53730] 68678) 07460} 53017} 61190} 37357] 14920] 30! v 49 84104 54097} 68208) 08195} 52312) 62292} 36416) 16390} 15! 33 4 0.83867 0.54464)1.67734| 1.08928]2.51601 1.63392]3.35468) 2.17856] 57° 15) 83629 54829} 67257) 09659} 50886} 64488} 34514) 19317] 45! : 39° 83389 95194 66777} 10387} 50166} 65581 33554 20775} ,.30! 49 0.83147 /0.55557 1.66294)1.11114]2.49441|1.66671|3.32588|2.22228] 15! 34 - 0.8204 /0.55919 1.65808) 1.11839]2.48711|1.67758]3.31615|2.23677| 56° oP 82659 56280] 65318) 12561] 47977; 68841} 30636} 25122] 45! a 82413) 56641} 64825} 13281] 47238] 69922] 29650] 26562] 30! ns, 82165} 57000} 64329} 13999} 46494) 70999] 28659] 27999} 15! 5 e 0.81915 0.57358} 1.63830) 1.14715]2.45746] £.72073|3.27661| 2.29431] 53° 15! | 81664) 57715) 63328) 15429) 44992} 73144] 26657) 30858) 45! 30 81412} 58070} 62823) 16141] 44235} 74211] 25646} 32281] 3ol 45 81157| 58425] 62315} 16850] 43472] 75275] 24630} 33700] 15! 36 n 0.80902/0.58779 1.61803} 1.17557|2.42705}1.76336]3.23607/ 2.35114] 54° ro 80544 5gt31] 61289] 18262} 41933] 77393] 22578) 36524] 45! s 30’ | 80386 99482 60771| 18965} 41157} 78447} 21543) 37929) 3o! 4 0.80321 0.99570 t.60642/1.19140}2.40962|1.78710]3.21283)2.38280 ee, 80125) 59832] 60251} 19665} 40376] 79497] 20502] 39330 15! 37 ; 0.79864) 0.60182] 1.59727|1.20363]2.39591|1.80545}3.19454|2.40726] 53° 79600} 60529} 59200] 21059} 38801} 81588] 18401} 42118} 45! 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1163.6 1164.7 1165.7 1166.8 1167.8 1168.9 1170.0 I17I.0 1172.1 Ligant 1174.2 1175.2 1176.3 1177-4 1178.4 1179.5 1180.5 1181.6 1182.7 1183.7 1184.8 1185.8 1186.9 1188.0 1189.0 1190.1 IIQ!.1 1192.2 1193.2 1194.3 1195.4 1196.4 1197.5 1198.5 1199.6 1200.7 1201.7 1202.8 1203.9 1204.9 1206.0 1207.1 1208.1 1209.2 1210.2 1211.3 1212.4 1213.4 1214.5 1215.5 1216.6 1217-7 1218.7 1219.8 1220.9 1221.9 1223.0 1294.1 20° 1225.1 1226.2 P3373 1228.3 1229.4 1230.4 1231.5 1232.6 1233.6 1234.7 1235.8 1236.8 1237.9 1239.0 1240.0 1241.1 1242.2 1243.2 1244.3 1245 4 1246.4 1247.5 1248.6 1249.6 1250.7 1251.8 1252.8 1253.9 1255.0 1256.1 1259.1 1258.2 1259.2 1260.3 1261.4 1262.4 1263.5 1264.6 1265.6 1266.7 1267.8 1268.8 1269.9 1271.0 1272.1 1273.1 1274.2 1275.3 1276.3 1277.4 1278.5 1279.5 1280.6 1281.7 1282.8 1283.8 1284.9 1286.0 1287.0 1288.1 21° 1289.2 1290.3 1291.3 1292.4 1293.5 1294.5 1295.6 1296.7 1297.8 1298.8 1299-9 1301.0 1302.0 1303.1 1304.2 1305.3 1306.3 1307.4 1308.5 1309.6 1310.6 PSi127 1312.8 1313.8 1314.9 1316.0 1317.1 1318.1 1319.2 1320.3 1328.9 1330.0 PRISE Koo 2.1 1333.2 1334.3 Poos 1336.4 1337.5 1338.6 1339.7 1340.7 1341.8 1342.9 1344.0 1345.1 1346.1 1347.2 1348.3 134g.4 1350.4 Ta0 Ls 1352.6 | 1225.1|1289.211353.7 229 23° 331 240 ~ 1353.9 1354.8 1955.5 1356.9 1358.0 1359.0 1360.1 1361.2 1362.3 1363.4 1364.5 1365.6 1366.6 1367.7 1368.8 1369.9 1370.9 TI720 1970.1 1374.2 1418.6 [419.7 1420.8 1421.9 1423.0 1424.1 1425.1 1426.2 1427.3 1428.4 1429.5 1430.6 1431.7 1432.8 1433.9 1434.9 1436.0 1437.1 1438.2 1439.3 1484.1 1485.2 1486.3 1487.3 1488.4 1489.5 1490.6 1491.7 1492.8 1493.9 1495.0 1496.1 1497.2 1498.3 1499-4 1500.5 1501.6 1502.7 1503.8 1504.9 Le com sr siisel cities sl 137005 1376.4 1377.4 1378:5 1379.6 1380.7 1381.8 1382.8 1383.9 1385.0 1386.1 1387.2 1388.3 1389.4|1454.6 1390.4|1455.7 1391.5}1456.7 1392.6)1457.8 1393.7| 1458.9 1394.8} 1460.0 1395.8)1461.1 1396.9}1462.2 1398.0 1463.3 1399.1|1464.4 1400.2|1465.5 1401.3|1466.6 1402.4|1467.7 1403.4|1468.8 1404.5)1469 8 1405.6|1470.9 1406.7|1472.0 1407.8) 1473.1 1408.8}1474 2 1409.9 1475.3 1411.0|1476 4 1412.1|1477 4 1413.2\1478 6 1414.3|1479 7 1415.4|1480 8 1416.5|1481.9 1417.5|1483.0 1418.6;1484.1 1440.4 1441.5 1442.6 1443.7 1444.8 1445 8 1446.9 1448.0 1449.1 1450.2 1451.3 1452.4 1453.5 1506.0 1507.1 1508.2 1509.3 1510.4] : 14415 1512.6 1513.7 1514.8 1515.9 1517.0 1518.1 1519.2 1520.3 19204 157955 1523.6 1524.9| 37 1525.8] 38 1526.9} 39 1528.0] 40 1529.1] 41 1530.2] 42 1531.3] 43 1532.4] 44 1533.5] 45 1534.6] 46 1535.9] 47 1536.8] 48 1537.9] 49 1539.0} 50 1540.1} 51 1541.2} 52 1542.3] 53 1546.71 57 1547.8] 58 1548.9] 59 ,1550.0] 60 — — Ci weak “TS loon] bic teane imme b> 35 | 1588.7 57 58 | 59 | 6c MERIDIONAL Latitude. 25° 1550.0 1551.1 T3202 1553.3 1554.4 1555.5 1556.6 1557.7 1558.8 1559.9 1561.0 1562.1 1563.3 1564.4 1565.5 1566.6 1567.7 1568.8 1559.9 1971.0 269 279 | 28° |. 29° 1616.5; 1683.5)1751.2|1819.4 1617.6, 1684.6) 1752.3) 1820.6 1618.7/1685.8}1753.4] 1821.7 1619.8) 1686.9) 1754.6)}1822.9 1620.9] 1638.0) 1755.7} 1824.0 1622.0/1689.1|/1756.8/1825.2 1623.2|1690.3/1758.0) 1826.3 1624.3) 1691.4] 1759.1|1827.5 1625.4, 1692.5) 1760. 2| 1828.6 1626.5|1693.6/1761.4|1829.7 1627.6|1694.8| 1762.5] 1830.9 1628.7} 1695.9] 1763.6) 1632.0 1629.8]1697.0|1764.8} 1833.2 1631.0] 1698.1|1765.9}1834.3 1632.1] 1699.3) 1767.0}1835.5 1633.2|1700.4] 1768. 2|1836.6 1634.3)1701.5}1769.3| 1837.8 1635.4|1702.6|1770.5| 1838.9 1636.5] 1703.8} 1771 .6|1840.1 1637.6}1704.9|1772.7|1841.2 1638.8] 1706.0 1773.9) 1842.4 1639.9|1707-1}1775.0) 1843.5 1641.0|1708.3|1776.1|1844.6 1642.1|1709.4]/1777.2|1845.8 1643,2]1710.5,1778.4|1846.9 1644.3}1711.6}1779.5|1848.1 1645.5|171 2.8/1780.6) 1849.2 1646.6) 1713.9|1781.8) 1850.4 1715.0|1783.0]1851.5 1716.1/1784.1|1852.79 1717.3|1785.2|1853.8 1718.4|1786.4) 1855.0 1719.5|1787.5| 1856.1 1653.3)1720.7|1788.6]1857.2 1654.4|1721.8}1789 8)1858.4 1655.5|1722.9|1790.9) :859.6 1656.6] 1724.0|1792.1| 1860.7 1657.8/1725.2|1793.2|1861.9 1658.9|1726.3) 1794.3] 1863.0 1660.0|1727.4|1795.5| 1864.2 1661.1/1728.6|1796.6) 1865.3 1662.2) 1729.7/1797.8| 1866.5 1663.4] 1730.8| 1798.9] 1867.6 1664.5|1731.9, 1800.0 1868 8 1665.6|1733.1|1801.2|1869.9 1666.7/1734.2|1802.3/1871.1 1667.8} 1735.3) 1803.5) 1872.2 1669.0} 1736.5) 1804.6/1873.4 1670.1/1737.6)1805.7/ 1894.5 1671.2|1738.7)1806.9)1875.7 1672.3)1739.9 1808.0] 1876.8 1606.5) 1673.4) 174.0 1809.2|1878.0 1607.6, 1674.5} 1742.2 1810.3 1879.9 1608.7/1675.7 1743.3)1811.4/1880.3 1609.8) 1676.8 1744.4 1812.6 1881.5 1610.9 1677.9|1745.5 1813.7) 1882.6 1612.0,1679.1|1745.6 1814.9 1883.8 1613.1 1680.9|1747.8 18 16.0/ 1884.9 1614.2 1681.3 1748.9 1817.2| 1886.1 1615.3 1689.4 1750.0, 1818,3)1887.2 1616.5 1683.5 1751.2 1819.4'1888.4 1580.9 1647.7 1582.1/1648.8 1583.2 1649.9 1584.3 1585.4 1586.5 1587.6 1651.0 1652.9 1589.8 1590.9 1592.0 1593.1 1594.3 1595.4 1596.5 1597.6 1598.7 1599.8 1600.9) 1602.0 1603.1 1604.2 1605.4 30° 1888.4 1889.5 1890.7 1891.9 1893.0 1894.1 1895.3 1896.5 1897.6 1898.8 1899.9 1QOL.1 1902.3 1903.4 1904.6 1905.7 1906.9 1908.1 1909.2 1910.4 191.5 1912.7 1913.8 1915.0 1916.2 1917.3 1918.5 1919.6 1920.8 1921.9 1923.1 1924.3 1925.4 1926.6 1927.8 1928.9 1930.1 1931.3 1932.4 1933.6 1934.7 1935.9 1937.1 1938.2 1939.4 1940.5 1941.7 1942.9 1944.0 1945.2 1946.4 1947.5 1948.7 1949.9 1951.0 1952.2 1953.4 1954.5 1955.7 1956.9 1958.0 PAR DS. 31° | 329 4 33? 1958.0|2028.4) 2099.5 1959.2|2029.6) 2100.7 1960.4) 2030.7) 2101.9 1961.6|2031.9)2103.1 1962.7] 2033.1|2104,3 1963.9) 2034.3}2105.5 1965.0/2035.5]2106 7 1966.2/2036.7|2107.9 1967.4) 2037.8) 2109 1 1968.5 2039.0121 10.3 1969.7|2040, 2}2111.5 1970.9) 2041.4)2112.7 1972.0|2042.6/21 13.9 34° 35°, 2171.5/2244.3] 21'72.7|/2245.5 2173.9] 2246.8 | 2175.1|2248.0 2176.3/2249.2] 4 2177.5|2250.4 2178.7|2251.6 ( 2180.0 2252.9 2181.2|2254.1 2182.4|/2255.3] ¢ 2183.6/2256.5| 10 | 2184.8)2257.8 2186.0/2259 of} 2187.2|2260.2 1975.6|2046.1}2117.5| 2189.6) 2262.7 1976.8/2047.3|2118 7|2190.8 2263.9 IR 1979-1 1980 2 1931.4 1982.6 1983.7 2049.7|2121.0|2193.3) 2266.3 2053 2|2124.6|2196.9| 2270.0 2054.4}2125.8]2198 1|2271.2 1984.9 2055.6/2127.0|2199-3 2272.5 1986.1] 2056.8) 21 28.2/2200.5) 2273 7 1987.3) 2058.0)2129.4/2201 7 2274.9 1988.4, 2059.1|2130.6}2203.0|2276.1 1989.6) 2060 3/2131.8)2204.2 2277.4 1990.8) 2061.5} 2133.0]/2205.4 1992.0] 2062.7|2134.2|2206.6 1993.1/2063.9| 2135.4) 2207.8] 2281.0 1994.3|2065.1|2136 6|2209.0/2282.3 1995.5|2066.2|2137.8)2210.2/2283.5 1996.6) 2067. 4) 2139 0]2211.4)2284.7 1997.8] 2068.6] 2140.2|2212.7/2286.0 1969.0|2060.8}2141.4|2213.9|2287.2 EGOho aig 2142 6|2215.1|2288.4 2001 .3|2072.2/2143 8/2216.3|2289.7 2002.5|2073.4}2145.0]2217.5| 2290.9 2003.7|2074.5|2146,2}2218.7|2292.1 2004.9] 2075.7] 2147.4] 2219.9 2293.3 2006.0] 2076.9] 2748.6}2221.2/2294 6 2007.2|2078.1/2149.8/2222.4|2295.8 2008.4] 2079. 3}2151.0]2223.6) 2297.0 2009.6] 2080.5] 2152.2|2224.8}2298.3 2010.7|2081.7|2153.4|2226.0] 2299.5 2011.9|2082.9 9154.6|2227.2|2300 7 2013.1/2084.0)2155.8|2228.5) 2302.0 2014.3}2085.2|2157.0}2229.7 2303 2 2279.8 2050.8|2122.2}2194.4)2257.5 | 19 2052.0]2123.4|2195.7|2268.8 2278.6 | 2 2188.4|2261.4 I 2048,5|2119.8|2192.0/2265.1 | € 2015.4|2086.4| 2158.2) 2230.9] 2304.4 | 49 2016.6) 2087.6}2159.4}2232 1 2305.7 | O 2017.8)2088.8|2160.7|2233.3| 2306.9 2019 0/2090 0/2161 .g| 2234.6] 2308.1 | 2 2020.2|209t.2|2163,1/2235 8/2309.4 53 2021.3)2092.4/2164.3/2237.0 2310.6 | 94 2022.5 2093.6)2165.5 2238.9\2311.8 2023.7|2094.8|2166.7|2239.4/2313 1 | 2024.9| 2096.0] 2167.9] 2240.7|2314.3 | 97 2026 0/2097.1|2169.1|2241.9 9315.51 90° 2027 2/2098.3]2170 3|2243 1}2316.8 | 99 2028.4 2099.5'2171.95 2244.3'2318.0 00 MERIDIONAL Latitude. a2? 3665.2 3666.8 3668.4 3670.1 3671.7 3673.3 3675.0 3676.6 3678.2 3679.8 3681.5 3683.1 3684.7 3686.4 3688.0 3689.6 3691.3 3692.9 3694.5 3696.2 3697.8 3699.4 3701.1 3702.7 3704.3 3706.0 3707.6 3709.3 3710.9 3712.6 3714.2 3715.8 o7177,5 3719.1 3720.8 3722.4 3724.1 53° 3763.8 3765.4 3767.1 3768.8 3770.4 SOI 3793.7 3775.4 3777-1 3778.7 3780.4 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7285.3|7548.2|7832.2 7289.5|7552.7|7837.2 7293.7|7597.3|7842.1 7298.0|7561.8}7847. 1 7302.2|7566 .4|7852.0 7306.4|7571.0/7857.0/8 168.4 7310.7|7575.5|7861.9}8173.8 9315 017580.1|7866 9 8179.2 7319.2 3584, 4 7871.9|8184.7 7323.5}7589.3|7876.9/8190.2 7327.7/7593.9|7881.9,8195.6 7332.0|7598.5|7886.9 8201.1 7336.3/7603.2/7891.9 7340.6|7607.8|7896.9, 7344.9|7612.4}7902.0 7349.2|7617.0|7907.0 7353.5|}7621.7|7912.0 7357.8|7626 3/7917.0 7362.117631.0}7922.1 7366.4|7635.7|7927.2 7370.7}7640.3|7932.3 7375.1,7645.0|7937.4)8256.3 7379.4|7649-7|7942.4|8261.9 7383.7/7654.4|7947.5|8267.5 7388.1|'7659 o 8273.1 7392.4|7663.7 .7|8278.7 7396.8|7668.4)7962.8/8 284.3 7401.2|7673.2 97405.5|7677.9 7409.9|7682 6 9741 4.3|7687.3 7418.6/7692.1|7988.5 7423.0|7696 8/7993.7) 7427.4|7701.5|7998.9) 7431 .8|7706.3/8004.0 7436.2|7711.1|8009. 2 7440.6|7715.8|8014.4 7445.117720.6|8019.6, 97449.517795 4\8024.8 7453.9|7730.2|8030.0 9458.3|7735.0|8035.2 7462.8]}7739.8|8040.5 7467.2'7744.618045.7 8093.2 8098.5 8103.8 8109.2 8114.5 8130.6 8136.0 8141.3 8146.7 8152.1 8157.5 8163.0 8212.1 8223.1 8239.7 8245.2 8250.8 .1/8295.5 8306.7 8312.4 8318.1 8323.8 8329.4 8335.1 8340.8 8352.2 8358.0 8363.7 8369.4 8375.2 8087.9 | 8119.9} 1 8125.2 | 15 8206.6 30 8228.6 2 8234.1]. 8289.9 | 45 830.1 |i : 8346.5 | 55 _—_ | > ee fom { I 5 IN CO) Dani. 8217.6 | 92 59 60, =e, ek a ; 3 i cs : ; Wyn ote ox! Col Bw ~ ol = MERIDIONAL PARTS. Latitude. a a A a a ran ae 80° ; 81° |, 829° 83° 84° 85° 86° 87° 88° 89° ! 8375.2|/8739.1/9145.5| 9605.8) 10136.9 | 10764.6)11532.5}12522.1/13916.4|16299.6 6 8381.0/8745.5/9152.6] 9614.0)10146.5 | 10776.1/11546.9)12541.3/13945.2 TO307.4 15% 8386.7/8751.9'9159.9| 9622.3)10156.1 | 10787.7|11561.3]12560.5)13974.2|/16416.1} 2 8392.5)8758.3/9167.1} 9630.5)10165.7 | 10799.2|11575.8)12579.9|14003.5}16475.9] 3 8398.3)8764.7|9174.3) 9638.8)10175.4 | 10810.8/11590.3}12599.4) 14033.0)16536.8 | 4 8404.1/8771.2/9181.6} 9647.1]10185.1 | 10822.5/11605.1/12619.0/14062.8 16598.7 Ws 8409.9|8777.6/9188.8] 9655.4) 10194.8 | 10834.2}11619.6)12638.7|14092.8)16661.8} 6 8415.7|/8784.1/9196.1| 9663.7/10204.5 | 10845.9)11634.4}12658.5 14123.1|16726.0] 7 8421.6|8790.6|9203.4) 9672.1]10214.3 | 10857.7)11649.2/12678.5)14153.7 16791.5| 8 8427.4|8797.1|9210.7| 9680.5]10224.1 | 10869.5]11664.0/12698.5]14184.5}16858.3] 9 8433.3/8803.6/9218.1} 9688.9|10233.9 | 10881.4/11678.9]12718.7|14215.6|16926.4 10 8439.1|8810.1|9225.4] 9697.3|10243.8 | 10893.2|11693.9)12739.0|14247.0|16995.8 | 11 §445.0|8816.6'9232.8} 9705.7|10253.6 | 10905.1]/11709.0|12759.4|14278.7|17066.7 | 12 8450.9|8823.2/9240.2| 9714.2 10263.5 | 10917.1]11724.1|/12779.9|14310.7|17139.1 | 13 8456.8|8829.7|9247.5| 9722.6]/10273.5 | 10929.1]11739.3]1 2800.6] 14343.0]17213.0 | 14 8462.7/8836.3/9255.0| 9731.1/10283.5 | 10g4r.2|11754.6)12821.4|14375.6/17288.6 15 8468.6|8842.9 9262.4] 9739.7|10293.5 | 10953.3|11769.9|1 2842.3)14408.5|17365.8 | 16 8474.5|8849.5|9269.8) 9748.2)10303.5 | 10965.4/11785.3|12863.3|14441.7|17444.9 | 17 8480.4|8856.1/9277.3| 9756.8/10313.5 | 10977.6)11800.7|12884.5|14475.2 17525 8} 18 8486.4/8862.7/9284.7| 9765.3|10323.6 | 10989.8)11816.3]12905.8]14509.1 17608.6 | 19 8492.3/8869.3/9292.2| 9773-9|10333.7 | 11002.1]11831.9|12927.2/14543.3/17693.5 20 8498.2|8876.0/9299-7| 9782.6) 10343.9 | 11014.4 11847.5|12948.7|14577.9|17780.5 | 21 8504.3|8882.6'9307.3| 9791.2|/10354.0 | 11026.8/11863.3]12970.4] 1461 2.8)17869.8 | 22 8510.2|8889.2'9314.8] 9799.9,10364.2 | 11039.2|11879.1]12992.3]14648.0|17961.5 | 23 8516.2|8896.0,9322.3| 9808.6) 10374.5 | 11051.6}11895.0]1301 4.4] 14683.7|18055.7 | 24 8522.2|8902.7/9329-9| 9817.3/10384.7 | 11064.1/11911.0] (3036.4) 14719.7|18152.5 | 25 8528.2|8909.4,9337-5| 9826.0/10395.1 | 11076.6]11927.0}13058.6)14756.1]18252.2 | 26 8534.3/8916.1|9345.1| 9834.8}10405.4 | 11089.2]11943.1|13081.0|14792.8]18354.9 | 27 8540.3/8922.8/9352.7| 9843.5|10415.7 | 11101.8]11959.3|/13103.6) 14830.0]18460.6 | 28 8546.3/8929.6|9350.4| 9852.4}10426.1 | 11114.5]11979.6)131 26.3] 1 4867.6) 18569.8 | 29 8552.4/8936.3 9368.0} 9861.2|10436.5 | 11127.2)11991.9|13149.1|14905.6|18682.5 | 30 8558.5'8943.1|9375.7| 9870.0)10447.0 | 11£140.0]12008.3|13172.1]14944.0)18799.0 | 31 8564.5)8949.9|9383.4| 9878.9)10457.4 | 11152.8)12024.8/13195.3|14982.8|18919.7 | 32 8570.5|8956.7/9391.1| 9887.8)10468.0 | 11165.7|12041.4/13218,.6|15022.1 19044.7 | 33 8576.7|8963.5/9398.8] 9896.7|10478.5 | 11178.6/12058.1}13242,1/15061.9/19174.4 | 34 8582.8 8970.3|9406.5) 9905.6]10489.1 | 11191.6/12074.8}13265.7|15102.1 19309.3 | 35 8588.9 8977.2\9414.3| 9914.6|10499.7 | 11204.6/12091.6/13289.5 15142.8|19449.6 | 36 8595.1|8984.0|9422.1} 9923.6|10510.3 | 11217.6 12108.5|13313.5|15183.9|19595.9 | 37 8601 .2|8990.9|9429.8| 9932.6)10521.0 | 11230.7/12125.5|13337.6)15225.6|19748.7 | 38 8607.4/8997.8|9437.7| 9941.6]10531.7 | 11243.9|12142.6|13361.9}15267.8)19908.7 | 39 8613.5|9004.7|9445.5| 9950.7|10542.5 | 11257.1]12159.7|13386.4)15310.5|20076.4 | 4o 8619.7|9011.6 9453.3] 9959.7|10553.2 | 11270.4]12177.0)1341 1.0 15353.8}20252.7 | 41 8625.9|9018.5|9461.3| 9968.8)10564.0 | 11283.7 12194.3|13435.9|15397.6|20438.6 | 42 8632.1/9025.4|9469.1| 9978.0 10574.9 } 11297.0|12211.7|13460.9 15441.9|20635.1 | 43 8638.3 9032.4.9477.0) 9987.1/10585.8 | 11310.5}12229.2)13486.1)15486.9)20843.5 | 44 8644.5|9039.3\9484.9| 9996.3|10596.7 | 11323.9)12246.8/13511.4 15532.4)21065.4 | 45 8650.7|/9046.3)/9492-8|10005.5}10607.6 | 11337.5 12264.5|13537.0|15578.6/21302.6 | 46 8656.9/9053.3/9500.8| 1001 4.7 10618.6 | 11351.0/12282.3)13562.7)15625.3}21557.3 | 47 8663.2|9960.3 9508.7|10024.0]10629.6 | 11364.6)12300.1|13588.7)15672.8)21832.5 | 48 8669.5|9067.3 9516.7 10033.2|10640.7 | 11378.3}12318.1|13614.9|15720.8/22131.6 | 49 8675.7|9074.3,9524.7|10042.5|10651.8 | 11392.1/12336.2|13641.2|15769.6/22459 3 | 50 8682.0|9081.4}9532.7|10051.8|10662.9 | 11405.9|12354.3]13667.8] 15819.1/22821.5 | 51 8688.3|9088.4 9540.8) 10061.2|10674.0 | 11419.7 12372.5|13694.5|15869.3 23226.4 | 50 8694.6|9095.5|9548.9| 10070.6)10685.2 | 11433.6)12390.9 13721.6) 15920. 2|23685.4 | 53 8700.9|9102.6 9556 .g|10080.0}10696.5 | 11447.6)12409.3 13748.7|15971.9|24215.4 | 54 8707.3/9109.7|9565.0)10089.4|10707.7 | 11461.6)12427.9 13776.1|16024.4|24842.1 | 55 8713.6|9116.8,9573.2 10098.8]10719.0 | 11475.7 12446.5|13803.7|16077.7|25609.2 | 56 8719.9|9124.0 9581.3} 10108.3|10730.4 | 11489.8 12465.3|13831.5)16131.8/26598.2 | 57 8726.3/9131.1/9589.5 tor17.8|10741.8 | 11504,0|12484.1|13859.6)16186.8)27992.1 58 8732.7|9138.3 9597.6 10127.3|10753.2 | 11518.2|12503.0|13887.9|16242.7 30375.0 59 8739.1/9145.5 9605.8!10136.9110764.6 | 11532.5 12522.1113916.4'16299.6! infin. | 60 43 cc 338 TABLE FOR CORRECTING MIDDLE LATITUDE. Difference of Latitude. Lat. | 10/90 30/40/50 | 62/7/82/90] 10° | 11° 120) 13° 149/15° { 169/179/ 189) 199/208 i oo 7. ia cere Ee ER apa Oe ! ! t ! ! ! 1 ! ! ET TOS O MT Las kal 6) 9/12/15} 19 23 | 27| 31 | 35] 4o 45| 51 | 58 | 66) 74 O30 10.,5,0 2 Poet 6) g)r2|15) 18 22| 26} 30] 34} 38 | 43}49|56| 63) 71 tas bE Ss to net 6) 8lr1}14} 17 arta: | O38) Go) a9 42|48)54} 61] 68 18 | of] 1/2/3/4 6) 8i11/14) 17 20| 24] 27] 31 | 36 41 | 461} 52) 58! 66 19, F Odct hay Og 6} 7\10]/13] 16 19| 23] 26|30}34 | 40] 45|50} 56} 63 407, OT TIA 131 4 6) 7} g/t2}15 | 18] 22} 25} 29/33 | 38] 43) 48} 54} 60 oN Ope ico A 6) 7] 9|12| 15 18 | 21 | 25/29/33 | 37] 421/47] 53] 58 52° Oe LI 2S TA 6) 7} g12} 15 17| 20 | 24} 28 | 32 36| 41! 46} 51| 56 esi olarLatsa 6) 7] g}12} 15 17| 20| 24 | 28} 32 36 | 4o 45} 5o} 55 24 | ol 1]}2/3]4 6} 7} gitt} 14 | 16] tg} 23] 27] 31 35 | 39} 44} 48) 53 a5-1°O1 1121314 5} 7] gir1l} 14 16] 19| 23] 27] 31 35 | 39} 43 | 47) 52 96h OL 1:1.2 )otd 5| 7] gir1] 14 16} 19 | 22| 26] 30 34138} 42] 47| 52 Sr ven eat oo Pee 5} 7} 811} 14 16| 19 | 22 | 26} 30 33 138/42 1 AG) Se 28 | o| 1/2/3/4 5) 6} 8}1o} 13 15/10 }2t} a5) 90. 1 S37 Saq4r) 46) 51 29 | oO] 1/2|3/4 5| 6| 8}ro} 13 15) 18] 21 | 25] 29 32 | 36} 41] 45! 5o SOT ON oot aA 5! 6} 8}1o} 13 15| 18] 21 | 25| 28 32 | 36| 41} 45] 50 OPb Gite tal o 5| 6) 8lro} 13 15! 18] 21 | 25| 28 32 | 36141} 45) 5o eet Ou | 4 oe 5| 6| 8lro} 13 15| 18] 21 | 25] 28 31} 36] 41! 45| 5o Sotf DO) Pier a 5) 6| 810} 13 15|18| 21 | 24| 27 31 | 35] 40} 44) 49 34 |] ol r|2|/344 5! 6} 810} 13 15| 18] 21 | 24] 27 31| 35] 40} 44) 49 351) Cit Os ot 5! 6] 8lrol 13 15; 18 | 21] 24] 27 31} 35] 40} 44) 49 36 | of 1/2/3]4 5| 6] 8}ro| 13 15| 18] 21 | 24] 27 31|35| 40} 44] 49 Syst Oa Palla 5} 6) Siro} 13 | 15] 18} 21) 24} 27 | 31} 35) 40} 44] 49 38 | of 12/314 5| 6} Biro} 13 15|/18|21|24]97 | 31|36|4o0!} 45) 5c 39 | of 1/2}3]4 5| 6} 8lro} 13 15} 18| 21] 25] 28 32] 36] 41 | 45) 50 4o | of] 1/2/3}4 5| 6| Siro} 13 15/18 | 22| 25] 28 32.136 | 4x 45} Se Ate Ot a vaTa 5! 6} 810} 13 15| 18 | 22 | 25| 28 32|371|41| 45) 50 42) /O1 37 Sha 5| 6] 8}10] 13 15 | 18] 22 | 26} 29 33 | 37 | 42 | 46} 51 A3 | o]1/21314 5) 7) girt| 14 16 | 19| 23 | 26 | 30 34 | 38| 42} 46] 51 A4 |) OFT +24314 5} 7} 9l11| 14 16 | 19| 23] 27 | 30 34 | 38 | 43 | 47} 52 AST POVL a's} 4 5} 7] gt} 14 | 16] 19) 23] 27/31 | 35] 39143) 47] 52 46 | of 1}2/3]4 5} 7] 9lr1| 14 16 | 19 | 23} 27] 31 35 | 39] 44] 48) 53 ATO 1 E | FV Ss 5| 7| 9|11] 14 16 | 20} 23 | 27] 31 35 | 40| 44] 49} 54 ASPT OLE 23 1a 5) 7] gir1| 14 16 | 20 | 23] 29] 31 35 | 40145 | 5o} 55 49 | of 1|213/4 5] 7} 9lr1| 14 17/21 | 24] 28] 39 36] 41 | 45] 51} 57 etn) CLE ahat a 5] 7| 911) 14 171] 21 194) 28'b3a 36 | 41 | 46| 52} 58 MiP Olli iatore 5) 7] Qlrt| 14 17| 21 | 24| 28} 32 37 | 42 | 47} 53) 59 yo Pomme Tals S17 Ora) tO 18 | 22| 25| 29 | 33 37 | 42 | 48| 54) 60 35) [oO Piet 8 A 6} 7] g}r2} 15 18 | 22] 25 | 29} 33 38 | 43 | 49} 55) 61 SAL OLDS 1 AtA 6} 8)10}13} 16 19| 23 | 26 | 30} 34 39 | 44 | 50} 56) 62 155 | ofr}2/3}4 | 6} 8/10/13} 16 | 19] 23] 26] 30/35 | 4o|45|51| 55] 63 50) FoF fad STA 6} 8) 10/13) 16 20| 241! 27] 31 | 36 41 | 46|52| 58} 64 hy tO) T2434 Z 6} 8)r1}14] 17 20 | 24 | 28 | 32 | 37 42| 48154! 6ol 66 58 | of 1/2/31} 4 6} gitr}14] 17 21/25] 29 | 33] 38 44|50| 55] 62] 68 59 | O] 1/2/3]4 6) 9/12]15) 18 | 22] 26) 30] 34) 39 | 45/51/57] 64] 70 60 Olt} ers a 6) 9/12|15! 19 23} 27 | 31 | 351] Go 46 | 52) 59] 66 93 OIAMtoOt rt) 1315 7| 9}t2115) 19 23} 97] 31 | 36] 41 47|54|61| 68) 75 1 62.7 O17 T2139 15 7| 9|12|16| 20 24 | 28 | 32 | 37] 42 49 | 56} 63} 70} 78 63 |} of 1/2} 4]5 7| 9|t3}16] 20 | 24) 29} 33] 39/44 | 51/58/65} 79] 81 64 o|1}2 4|6 8) 9/13/17] 21 25 | 29 | 34] 4o| 46 53 | 60 |67| 74] 84 65 | or) 2) 4/6 | 8r0f13}r7/ 21 | 25] 30/35] 41] 48 | 55|62|6g| 77 87 66 | o/ 1|2/4/6 8}10/14)18] 22 | 26] 31|37/ 43/50 | 58165} 72] 81 91 67 | Of 1} 2/4/6 | 8)r1]15)/18) 23 | 27/33) 38] 45/53 | 60/67/76] 85] 95 68 | o] 1/2/1416 8) 11\15}10} 24 28 | 34] 40 | 48 | 55 62170179} 90) 99 69 oO} 1) 2 516 9) 12|16}20} 25 30 | 36} 42 | 50 | 58 65 | 73 | 83] 94}104 79 | O}1/3/5)6 | gir3}r7ja1} 26 | 31) 38] 44) 52|60 | 68} 77) 881 g9|110 7] O/T) 4)6/7 | 9/13}18)22}27 | 33) 40] 46/55|63 | 72|82| 921041116 72 ' 011)4}6|8 | 10j14]19}23| 29 | 35| 42 49158166 | 76187198 I110!1124 i —— 2.30258 50929 94045 68401 79915 4.60517 01859 88091 36803 59829 6.90775 52789 82137 05205 39744 00054 25290 92294 .00108 43812 92220 .00162 55582 86737 | .00216 60617 56508 .00270 58933 75925 .00324 50548 13147 |.00378 35477 30127 .00432 13737 82643 .00485 85346 20329 .00539 50318 86706 .00593 08672 19212 00646 60422 49232 .00700 05586 02125 00753 44178 97258 .00806 76217 48033 .00860 01717 61918 .00913 20695 40472 .00966 33166 79379 01019 39147 68475 01072 38653 91773 01125 31701 27497 .01178 18305 48107 01230 98482 20326 .01283 72247 05172 01336 39615 57982 01389 00603 28439 01441 55225 60603 .01494 03497 92937 01546 45435 58330 .01598 81053 84130 01651 10367 92167 .01703 33392 98780 01755 50144 14844 Table for converting Common into Hyperbolic Logarithms. 1 2 3 4 apo 6 7 eo lg 9.21034 03719 76182 73607 19658 11.51292 54649 70228 42008 99573 13.81551 05579 64274 10410 79487 16.11809 56509 58319 78812 59402 18.42068 07439 52365 47214 39316 120.72326 58369 46411 15616 19231 TABLES. 01807 60636 45795 .01859 64884 91658 01911 62904 47073 .01963 54710 01316 .02015 40316 38333 .02067 19738 36757 .02118 92990 69938 .02170 60088 05969 02222 21045 07706 .02273 75876 32799 .02325 24596 33711 02376 67219 57749 .02428 03760 47080 .02479 34233 38763 .02530 58652 64770 .02581 77032 52009 02632 89387 22349 .02683 95730 92644 .02734 96077 74757 02785 90441 75579 .02836 78836 97061 02887 61277 36229 .02938 37776 85210 02989 08349 31255 03039 73008 56762 .03090 31768 39299 .03140 84642 51624 03191 31644 61711 03241 72788 32769 .03292 08087 23266 03342 37554 86950 .03392 61204 72871 03442 79050 25403 Nee eee ee ee a a ee ee oe ee el Se Ne Pe teen. se ot Sa hee wget gk ta. 6 ne. Cae ee eee ie tees We, “ety a” | eet ee ee cee mn Oe 339 _ Logarithms of use in computing Compound Interest for long periods of time. Log. 03492 91104 84267 03542 97381 84548 03592 97894 56723 03642 92656 26675 .03692 81680 15720 03742 64979 40624 03792 4a 03842 14456 42459 03891 80660 30370 03941 41191 76137 .03990 96063 74097 04040 45289 14159 .04089 88880 81828 .04139 26851 58225 .04188 59214 20104 04237 85981 39876 .04287 07165 85625 .04336 22780 21130 .04385 32837 05882 .04434 37348 95107 04483 36328 39783 .04532 29787 86657 04581 17739 78270 '.04630 00196 52969 .04678 77170 44931 .04727 48673 84179 .04776 14718 96603 04824 75318 03974 .04873 30483 23968 04921 80226 70182 04970 24560 52148 .05018 63496 75361 .05066 97047 41285 67 13626 Table for converting Hyperbolic into Common Logarithms. 3 |1.30288 34457 4|1.73717 79276 5 |2.17147 24095 6 |2.60576 68914 7 |3.04006 13733 8 |3.47435 58552 9 |3.90865 03371 1 0.43429 44819 03251 82765 11289 2 |0.86858 89638 06503 65530 22578 09755 48295 33868 13007 31060 45157 16259 13825 56446 19510 96590 67735 22762 79355 79024 26014 62120 90314 29266 44886 01603 Lengths of Circular Arcs in decimal parts of Radius. 7.01745 32925 19943 29577 1.03490 65850 39886 59154 | }.05235 98775 59829 88731 '}.06981 31700 79773 18308 '|.08726 64625 99716 47885 }.10471 97551 19659 77462 |:12217 30476 39603 07038 }:13962 63401 59546 36615 }15707 96326 79489 66192 cnc - = I ~ Oo ON AoW wn 44 .00029 08882 08665 72160 .00058 17764 17331 44319 .00087 26646 25997 16479 00116 35528 34662 88638 00145 44410 43328 60798 '.00174 53292 51994 32958 .00203 62174 60660 05117 .00232 71056 69325 77277 00261 79938 77991 49437 1/|.00000 48481 36811 09536 00000 96962 73622 19072 .0000t 45444 10433 28608 00001 93925 47244 38144 .00002 42406 84055 47680 .00002 90888 20866 57216 OO OY Aw wv .00003 39369 57677 66752 .00003 87850 eae 76288 .00004 36332 1299 85824 Common Logarithms of Numbers, carried to thirty places of decimals. ~~. TABLES. Ke | ° Log. N. Log. 2 | 0.30102.99956 63981 19521 37388 94724] 43 | 1.63346 84555 79586 52640 50881 53229} 3 | 0.47712 12547 19662 43729 50279 03255} 47 | 1.67209 78579 35717 46441 42193 99449] 4 | 0.60205 99913 27962 39042 74777 89449] 53} 1.72427 58696 00789 04563 29922 91627 | 5 | 0.69897 00043 36018 80478 62611 05276} 5g9/| 1.77085 20116 42144 19026 06563 84535), 6 | 0.77815 12503 83643 63250 87667 97980] 61 | 1.78532 98350 10767 03388 57485 13757 | 7 | 0.84509 80400 14256 83071 22162 58593] 67 | 1.82607 48027 00826 43414 91316 29226) 8 | 0.90308 99869 91943 58564 12166 84173] 71 | 1.85125 83487 19075 28609 28294 35035} 9 0.95424 25094 39324 87459 00558 06510} 73} 1.86332 28601 20455 90107 43869 00470 | 1.04139 26851 58225 04075 01999 71243] 79 | 1.89762 70912 90441 42799 48213 86478) 1.07918 12460 47624 82772 25056 92704] 83 | 1.91907 80923 76073 90383 27603 52027}| 1.11394 33523 06836 76920 65051 57942] 89 | 1.94939 00066 44912 78472 35433 69702) 1.23044 89213 78273 92854 01698 94328] 97 | 1.98677 17342 66244 85178 43618 11666) 19 | 1.27875 36009 52828 96153 63334 75757 | 101 | 2.00432 13737 82642 57427 51881 78223]| 1.36172 78360 17592 87886 77771 12251 | 103 | 2.01283 72247 05172 20517 10711 94580}, 9 | 1.46239 79978 98956 08733 28467 62969 | 107 | 2.02938 37776 85209 64083 45412 39461} 1.49136 16938 34272 67966 67041 00118 | 10g | 2.c3742 64979 40623 63520 05133 07614} 1.56820 17240 66994 99680 84506 89539 | 113 | 2.05307 84434 83419 72279 52270 28609}| 1.61278 38567 19735 49450 94118 49968 | 127 | 2.10380 37209 55956 86424 69874 21827]! Numbers often used in calculation. «= Base of Napier’s System of Logarithms 2.71828 18284 59045 23536 02874 71353 | I-+ =0.36787 94412, M=com. log. «== Mod. of Com. Sys. of Log. =0.43429 44819 03251 82765 11289 18917 1+M=1~+ com. log. «= hyp. log. of 1o==2.30258 50929 94045 68401 79914 54684 1== Ratio of Circum. to Diameter of a Circle =3.14159 26535 89793 23846 26433 83280 1-+ 7=0.31830 98862, log. =1.50285 01273 05866 14564 87317 11709 com. log. 7=0.49714 98726 94133 85435 12682 88291 log.=1.56570 55180 96748 17234 88710 81083 | hyp. log. 7==1.14472 98858 49400 17414 34273 51353 | 1 ® 9.869604 401089, 1-+ 7” =0.10132 11836, Arc of same length as Radius =180°-+ r==10800! -+- r==648000"! -- 1809=- 9 =57° .295779513, log =1.75812 26324 09172 10800’ 7==3437! .7467708, log =3.53627 38827 92816 648000!!—- 7 =206264"! £80625, log =5.31442 51331 76459 Length of Arc.1!/=0.00000 48481 36811 09535 99358 99141 in parts of Radius, == 1 +-648000, log =4.68557 48668 23540 51953 sin 1!/'=0.00000 48481 36811, log =4.68557 48668 sin 2/!==0.00000 96962 73622, log 4.98660 48624 sin 3/==0.00001 45444 1043, log =5.16269 61215 sin 4''=0.00001 93925 4724, log =5.28763 48580 sin 5==0.00002 42406 8405, log =5.38454 48710 sin 9!'==0.00004 36332 3129, log =5.63981 73762 sin 10//—=0.00004 84813 6809, log =5.68557 48665 sin sin sin sin sin 11!'==0.00005 33295 o4go, 12!'—=0.00005 81776 4170, 1! ==0.00029 08882 046, 12! =0.00349 06514 15, log =7.54290 64811 1°=0.01745 24064, log =8.24185 53184 Tropical Year 3654. 5”, 48”, 47° .588 =3651 .242217456, Sidereal Year =3654. 6". 9”. 10°.742 =3657 256374332, log =5.72696 75518 log =5.76475 61125 log =6.46372 61109 log =2.5625810 log ==2.5625978 n/1==1.77245 38509 | 24" Sol. T. =24' 3” 56° .555335 Sid. T. =24' X 1.00273791, log 1.002. . .==0.0011874 |) 24* Sid. 'T. =24—355° .gog44 Sol. 'T. 24" Xx 0.9972696, Accel” of Stars in Sol. day =3” 56°.555335 Sid. T. 39 362555900, log =2.3739328 Accel” of Stars in Sol. Gay ==3” 55°.go944 Sol. T. =235*.90944, log =2.3727453 Length of see. pend. in inch. at Lond. 39.13929, Paris 39.1285, New York 39.1012 g= Accel. Force of Gravity at London =32.1908 Eng. feet, log =1.5077315 1 cubic inch of water (Bar. 30 inch. Fahr. Therm. 62°,) =252.458--7000 in Avoir. pounds =252.458 in Troy grains, log 24021892 British imperial gallon 277.274 cubic inches, , log 0.997 . . .==9.9988126 | log 2.442909) | a gah «if Sar re de und i itr (im v 7 Ere see! * wr A i) Nar ne vey UNIVERSITY OF ILLINOIS-URBANA 512.922S$T25T C001 TABLES OF LOGARITHMS OF NUMBERS AND OF L ANCA 3 0112 017081339