tās i， ，ae ºsjºzgryſ-， *ſ*.* º.sz.： aes, 2 z r. zºs，****** ?， ~º ~*~~~~）. N { i º l 1. 3 l{Y\lº-Z Ol' THE unrºsſºmiti. j i |º 3s lº Nº. 1.43-22 Sº lººr- .NY-º . . … -- ; , , . . . / &lſº + . - - - º: Sºº 2 *N ºus P * *'. f s :#. r § #| PHYSICs LIB ~.º† - i ºf . : * - …” . ...?" , , , , : Y -: J 2 4- E.. i * * * - - \ ºrsº ºc ºrate ºzºa º ºr sº Hiß : !------ . . Nº º * * iTIII IIIHIIIHIIIlºilllllllll GAN | Eº f : §: - : : : º: fºr . | | IX }. i h;3.5 b QA 5.5- VH22 F5" ..] q/3 L06 ARITHMIC TABLES OF NUMBERS AND TRIGONOMETRICAL FUNCTIONS BY BARON WON VEGA. TRANSLATED FROM THE FO R. TIE TIEH O R. D.R. B. F. E M II; E ES THOROUGHLY REWISED AND ENLARGED EDITION, BY W. L. F. FISCHER. M. A., F. R. S. FELLOW OF CLARE COLLEGE, CAMBRIDGE; PROFESSOR OF NATURAI, PHILosophy IN THE UNIVERSITY OF ST. ANDREWS. STEREOTYPED, - 84. EDITION. NEW YORK D. VAN NOSTRAND COMPANY 25 PARK PLACE 1918 i P. R. E. F. A. C. E. The existing logarithmic-trigonometrical Tables to seven figures may be divided into three classes. While the first class which con- tains the logarithms of the natural numbers is very nearly the same in all, they differ in the second, or trigonometrical part in this, that the first class contains the trigonometrical functions for the greatest part of the quadrant only for every full minute, the second for every tenth second, and the third for every single second. The oldest logarithmic table to seven figures belongs to the first class, viz. that of Sherwin, London, 1705. It contained the logarithms of the numbers from 1 to 101000 and besides the sines, tangents and secants, also their logarithms from minute to minute. This table had run through several editions by the end of the last century and served till quite recently as the basis of innumerable logarith- mic tables, in some of which the natural sines and tangents, which are little wanted, were omitted, while others of them were enliched by more or less useful additions. Gardiner, who in the year 1741 prepared a third edition of Sherwin's table, constructed at the same time a table proceeding from 10 to 10 seconds, which was the first of its kind, and was published in London in the year 1742 in large 4" "). A second edition of this table also in large 4” with the addition of the logarithms of the sines and tangents for every single second up to 49 was published at Avignon in 1770*). Upon these were founded Callet's “tables portatives” which were first published at Paris in 1783 and afterwards stereotyped. On account *-- ~~~ 1) Tables of Logarithms. 2) Tables de Logarithmes. WI PREFACE. of their more convenient shape they soon displaced the former tables, and maintained the preference up to the most recent time. The first table of the third kind is the large one by Taylor pu- blished in London in 1792. Bagay’s tables 1) founded upon it and published at Paris in 1829, appeared in a much smaller form in consequence of the smallness of the figures. To the tables of the first and second class belong also the logarithmic tables to seven figures calculated for the centesimal division of the quadrant, as that by Hobert and Ideler”) proceeding from 100° to 100° of a grade (centesimal degree), and that published by Delambre *) in the year IX of the republic, in which the interval is ten times as small, viz. 10 centesimal seconds. - For tables to five figures the interval of one minute may be considered the proper one, because the differences will not be too large to admit of the proportional part for seconds being men- tally calculated with readiness. In tables to seven figures this interval has always been recognized as highly inconvenient, on which account Gardiner directed his attention to the diminution of the interval. It is even necessary to diminish the interval to one second, if it be made a condition that the proportional part in this case too is to be mentally calculated. This very small interval, however, gives rise to several new inconveniences, which diminish the advantage of smaller differences to such a degree, that tables of this kind have never come much into use, at least with pro- fessional computers. Their large form, the excessive number of columns on every page, and the circumstance that even then there is not nearly room enough for all the figures, (the initial figures of the logarithms having to be placed at the top of the columns and the differences altogether omitted, so that they must be calculated by the computer,) make the advantage of the smaller interval very questionable. The editions of Vega's Logarithmic Tables hitherto published had, in the trigonometrical part, the interval of 1 minute. In the present revised edition care has been taken not only to adopt the interval of 10 seconds for the whole quadrant in order to assign a higher rank to the tables, but also to secure all those ad- 1) Nouvelles Tables astronomiques et hydrographiques. Paris, 1829. 2) Neue trigonometrische Tafeln. Berlin, 1799. 3) Tables trigonométriques décimales, calculées par Ch. Borda. PREFACE. WII vantages which by attention to size and arrangement might in any way contribute to facilitate the looking out of logarithms. Although the tables have in consequence been considerably en- larged, the price has not been raised, so that the advantages of the enlarged edition are offered to purchasers at a cost, which is unexampled for a work of this kind. Among the improvements in these tables we may mention: 1. The systematic arrangement of all the pages of each section, which has for its object that, when once the book is opened at the proper page, the eye with very little practice will involuntarily be directed to the place where the required logarithm is to be found. For nothing so much increases the difficulty of using tables as a want of uniformity in the position of the numbers. To attain this end main and sub-divisions have been introduced, which are easily distinguished and afford resting points to the eye. In the first part there are four such resting points on every page, viz. on the left page the lines corresponding to the numbers 10, 20, 30 and 40 are enclosed in double rules; on the right page, those correspon- ding to the numbers 60, 70, 80 and 90. The intermediate lines, opposite to the numbers 1 up to 9, are again separated by narrow spaces into groups of three each. In the second part each page contains 61 lines. Since five principal divisions are thus formed, the third, which is opposite to the number 30 either from the top or from the bottom, is marked by stronger lines, the subdivisions remaining the same as in the first part. Finally in the third part the lines corresponding to full minutes are inclosed between double rules, and every fifth minute is marked by thicker rules. This arrangement which was first employed in a table of six figures 1), has at the same time the advantage, that both with ascending and descending arguments, as in the 2* and 3" part, the rules have always the same position relatively both to the right and left margin of the page, an advantage which was unattainable with the single horizontal lines hitherto in use. 2. The type. On several occasions Mathematicians and Astro- nomers have remarked, that the strongly shaded and equally high figures that have become the fashion during the last twenty years, though they present on the whole a better appearance on the page, are yet far less legible than the older ones. Moreover the new 1) Logarithmorum VI decimalium nowa tabula Berolinensis. Berlin, 1852. *- *mºmsºm, VIII PREFACE. type is easily injured in the finer strokes so that 1 and 4; 0, 6 and 9; 3, 5 and 8 become almost undistinguishable. Besides it often happens, that a figure thus strongly shaded, which dazzles the eye by its very blackness, does not leave sufficient blank space, the figures being both too close to each other and to the rules which mark the intervals. All these circumstances render the use of the tables more difficult and more fatiguing to the eye. Hence a type has been chosen which, being extremely slightly shaded, approaches the older form, projects partly above and below the parallel lines which inclose the main body and does not cover the white ground too much, while it is of a size which is neither too small to be easily recognized by moderately strong eyes, nor too large to get the requisite quantity into a moderate compass. The founding of this type is so characteristic that even after slight injuries which are inevitable after long use, there will be little fear of mistakes. Special attention has been paid to the proper distribution of the space which the figures and rules occupy; and the size of the page was not fixed upon till after repeated trials, and after all circumstances had been taken into account for faci- litating the use of the tables. - 3. In the trigonometrical part there is frequently a column next to that of the degrees, minutes and seconds, expressing the same arc in time; there are also in the first part one or two co- lumns more which give the number, or the number increased ten- fold, considered as a number of seconds expressed in degrees, minutes and seconds. This and similar other arrangements have here been omitted, as double and treble arguments, which are not out of place in nautical tables, but tend to obstruct the simple use of a table to seven figures without affording any equivalent advantage. On the other hand, in the first part at the foot of the page the twofold reduction of the argument into arc has been tº «º * in x ta indicated, together with the logarithms, of º and * * from 10 to 10 seconds, from 0 to 2° 46' 40". The latter are required for passing from log arc to logsin and log tan, and are of par- ticular value in geodetic calculations, where long operations have sometimes to be performed with small arcs which are usually ex- - pressed in seconds, while four or five decimal places of the second have to be retained. w To facilitate the interpolation, small tables of proportional parts *º-sº-ºmº-º have been added in the first and third parts. The use of smaller type has enabled us to give them completely even in the first pages for every difference. These tables give accurately the tenths of the whole difference, so that the addition of the thents, hun- dredths and thousandths gives the proportional part correct to the last figure, which is not the case with the usual arrangement. According to a very common arrangement the same small table of proportional parts has to be used for the whole extent of the table in its vicinity, without reference to the difference whether it be an unit more or less; but this has been rejected as inaccurate. In the third part want of space has prevented all the differences from being given; at the commencement, i.e. beginning at 59, those only could be inserted which differed by 10 units, then those dif- fering by 5, by 3 etc., while finally, from 24", each difference is set down. The advantages which these tables afford in interpola- tion, will be best appreciated by those, who have felt their want in all other tables. Special attention has been paid to the correctness of the se- venth decimal place. Since the accurate value of a logarithm, unless it be a whole number, is always an interminable decimal fraction, the part which follows the first seven figures necessarily amounts to more or less than five units of the 8” decimal place. In the former case the number in the seventh place must be in- creased by one unit, in the latter not, in order that the tabular value may always differ by less than half an unit of the last place from the true value of the logarithm. Therefore in order to set down the seventh place correctly, a knowledge of the following figures is required. A comparison with Vega's Thesaurus logarith- morum ') left only those logarithms of numbers doubtful, whose logarithms to ten figures ended with 500; these were therefore recalculated to fifteen places. The tenth figures proving accurate throughout, even in many other cases where the computation was repeated, it was found unnecessary to recalculate the logarithms ending in 499 and 501. The case was however far different in the trigonometrical section. Here the Thesaurus logarithmorum ' ), with the exception of a few cases as indicated by Vega himself and referring to that part of the table in which the interval is 10 se- conds, can hardly be considered as anything but a reprint from PREFACE. IX 1) Thesaurus logarithmorum completus. Lipsiae, 1794. X PREFACE. Vlack 1), since many comparisons of erroneous places have shown no difference between them. Now the uncertainty of the last figure amounts to 4 units, hence it became necessary to recalculate all the logarithms which in the Thesaurus end in 496, 497, 498, 499, 500, 501, 502, 503 and 504, since a correction amounting to more than 4 units might alter the last figure in logarithms to seven places *). These calculations have been made by means of Briggs's table to 14 places *), the results of which were checked by the formation of differences, and it has been found, that in modern tables, including the former editions of these tables, many loga- rithms have been set down wrong in consequence of too much confidence being placed in the Thes, log. For the comparison of the sines and tangents for every second the Thes, log. gave the logarithms to ten figures only up to 2 degrees, hence other means had to be adopted for the interval from 2 to 5 degrees. Interpo- lation from the Trig. Britt. which first suggested itself to us was found upon repeated trials to be too laborious, as it required six series of differences to be taken into account. Interpolation between the logarithms to ten figures, given for every ten seconds, did appear less open to objection, since the uncertainty of the last figure would be increased in the interpolated numbers. Hence direct computation was preferred, the more so, as with proper arrangement it led most rapidly and safely to the desired result. First of all for every 400 seconds in the interval from 0 to 5 sin x - X ries giving these functions arranged according to powers of x con- || verge very rapidly, so that the first four terms suffice to give the logarithm accurate to 14 places, and for the interpolation four series of differences suffice. These logarithms having been tested by diffe- rences and reduced to the interval of 100 seconds by interpolation, the first ten places were further interpolated to an interval of one second; the logarithms of the numbers being added, all the sines and tangents to ten figures were obtained. Amongst these loga- , º t degrees the logarithms of and * were calculated; the se- 1) Trigonometria artificialis. Goudae 1633. 2) Other errors, too, occur which cannot be considered as errors of the press. Thus the last three figures 517 of log tan 0° 2' 7" are given too great by 90 and the Sine and Cotangent present the same error. 3) Trigonometria britannica, edited by Gellibrand. Goudae 1633. ==ºssº PREFACE. XI rithms, those terminating in 499, 500 and 501 were recomputed to three more figures on account of an uncertainty of an unit and a half arising from the interpolation. This calculation was effected by means of the logarithms, previously computed to 14 places by interpolation, in which process the logarithms of na- tural numbers given to 14 figures in Briggs's table *), were used, and thus the data were obtained for assigning to every logarithm which the table was to contain its strict value, independently of other determinations. The seventh decimal place being fixed, the preceding six were tested by differences, and evidence of their correctness was thus established. In order to guard as much as possible against errors of the press three proofs were read previously to stereotyping, and one subsequently. The first two were corrected by comparison with the manuscript, while the third was tested by differences in order to be | secure against MS. errors. Finally the last figure has been compared with the tables of Gardiner”) and Callet”) and in part with those of Taylor *). Gardiner, who has likewise founded his logarithms to seven figures upon an abridgment of those to ten according to Vlack, has used great caution to insure the correctness of the 7* figure. He states in the preface to his tables, that he pre- viously tested the last figure in Vlack by means of differences and corrected many errors, which he must have done with great care, for we found on comparison only two cases in which the last || figure is not quite correct, viz. log 52943 and log cos 24° 55' 30", | for which he gives 7238086 and 9.9575404, both of which are too large by an unit of the last place: the accurate values of these logarithms being 7238085 4683559 and 9.95754034999866. This care which also extends to that part of the table, which contains the logarithms for every second from 0 to 72 minutes, appears not to have met with due appreciation from later editors of lo- garithmic tables. Indeed it seems finally to have fallen completely into oblivion, as appears partly from the additions made in the later editions of Gardiner and partly from the circumstance, that after the publication of the Thesaurus logarithmorum in which, as has already been stated, only some few of Vlack's logarithms have 1) H. Briggii arithmetica logarithmica. London, 1624. 2) Table of logarithms. London, 1826. * 3) Tables portatives de logarithmes. Paris, 1795. Tirage 1821. 4) Tables of logarithms. London, 1792. - -º - * XII PREFACE. been corrected, (most of them being reprinted unaltered), the edi- tors of tables have taken its correctness for granted, either to avoid the trouble of a strict examination, or confiding in the accu- racy implied by the offer of a ducat for the detection of every error, no similar reward having ever been previously offered. This affords the only explanation of the fact, that in more recent tables several logarithms have been brought back to the erroneous values which follow from Vlack's table, though they are correctly given by Gardiner. Thus 1) the log sin 2" 29' 50", whose accu- rate value is 8.6391970 5001389 has with Gardiner 1 in the seventh place which is correct; but since Vlack and Vega give the log to ten figures 6391970 499, we find in the recent tables and also in Taylor 0 in the seventh place. 2) log tan 5° 7' 40" is 8.9529682 499.4086; Vlack and Vega give 95.29682 501; Gardiner gives 2 in the seventh decimal place; the more recent tables, inclu- ding Taylor's give 3. 3) log tan 7°23'50" is 9.1133684 5003401; and therefore 5 is the correct figure in the seventh place; but Vlack and Vega have 1133684 499, whence the recent tables including Taylor's give 4. 4) logtan 7° 59' 0" is 9.1468849 4989462, there- fore 9 is the correct seventh figure; but Vega and Vlack have 1468849 501, and the modern tables have consequently 50 as the last two figures. 5) log sin 20° 9' 0" is 9.5371628 5003911, but in Vlack and Vega 5371628 499; Gardiner gives 9, the modern tables 8 in the 7" place. The second edition of Gardiner published in the year 1770 at Avignon contains besides all the logarithms of the first edition, which were adopted without alteration 1), the logarithms of the sines for every second from 72' to 4°, and log tan for every second from 0 to 4°. The logarithms thus added have not the same degree of accuracy as those transferred from the older table, though their correctness is still such as might well have served as a pattern for later tables. For a comparison shewed that out of 22032 logarithms only 22 were wrong by an unit. Both these editions are in large 4°, which renders them cumbrous. For this reason and in consequence of Gardiners's tables becoming scarce, Caliet edited a new logarithmic-trigonometrical table, which was printed by Firmin Didot, and was the first, in which the printing 1) A few false prints, discovered during the 28 years that the tables had been used, were corrected, but many new errors were introduced. PREFACE. XIII | | from plates was successfully carried out: Besides a long intro- duction on the calculation and application of logarithms, tables of the natural sines and cosines, tangents and cotangents, and natu- ral and common logarithms of numbers to 20 and 60 figures, this edition contained all the logarithms of the Avignon edition, with this addition that the log sin and log tan for every second which the latter contained up to 4° were carried one degree farther. But in this enlargement, the degree of accuracy introduced by Gardiner is utterly neglected. A comparison with this part of the tables which contains 6480 logarithms not occurring in Gar- diner gave 1368 logarithms inaccurate by an unit in the last place. Finally the last figure of each of the 36000 logarithms of the second part was compared with Taylor's table, which is generally considered as a pattern of accuracy in the last figure, and every deviation thus found was subjected to a separate in- vestigation. This examination gave 35 cases, in which the last figure in Taylor is wrong by an unit; of these 19 coincide with the erroneous statement in the Avignon edition. A comparison of the logarithms of the first part with Bab- bage's most carefully edited table, in which elementary principles regarding the construction of tables were first established, fur- nished one case, that of log 52943 which, as in Gardiner, was given too great by an unit. The same error occurs also in the tables of Callet, Taylor, Delambre and others, evidently because all have copied Gardiner without farther examination. The first two proofs of this table were corrected by MM. Lau- tensach, and Goldammer, and a third revision was instituted by myself, and checked by differences. After they were stereotyped the proofs from the plates were revised partly by Mr. Volkmann, and partly by Mr. Koch. - Berlin, August 1856. INTRODUCTION. The common Logarithms (Briggs's) are the only ones used to facilitate extensive numerical calculations. In this system, the logarithm of a number is the index of that power of 10 which is equal to the number. If for example a and b are the loga- rithms of the numbers A and B, we have 10* = A and 10° = B Or log A = a and log B = b - and by the theory of powers and logarithms it follows, that 10+ = AB, 10- = . 10-- A., 10 = WA, Or - log AB =a+b, logº = a-b, log A* = ca logyA = * IB 2 7 . . c’ from which we see that the logarithm of a product is the sum of the logarithms of the factors, the logarithm of a quotient the difference between the logarithms of the dividend and divisor, and that the logarithm of a power or root is found by multiplying or dividing the logarithm of the radix by the exponent. The application of these four formulae, to which all calculations with logarithms are limited, rests upon the condition that, given a number we can find with facility its logarithm, and conversely, given a logarithm we can readily find the corresponding number. It is the object of logarithmic tables to solve these two problems. From the above definition of logarithms which is perfectly sufficient for practical purposes, it follows further that - log 1 = 0, log 10 = 1, log 100 = 2, log 1000 = 3, etc. log 0.1 = –1, log 0.01 = — 2, log 0.001 = — 3, etc. and these are the only numbers, whose logarithms are integers. The logarithm of any other number consists of an integer (termed the index or characteristic) followed by a decimal fraction INTRoduction. . XW. (mantissa), which has the property of being incapable of being fully written out, since it goes on ad infinitum. Fortunately it is only in rare cases, that more than seven decimal places of this fraction are required: in general indeed four or five suffice, and it is only for the most accurate computations that six or seven are used. ... • TABLE I. To find the logarithm of a given number, or the number corresponding to a given logarithm, a table is used which contains the logarithms of all whole numbers from 10000 to 100000. Such a table is that extending from p. 6 to p. 185. It is, indeed, preceded by a few pages containing the logarithms of 1 to 1000; but this is done more for the sake of convenience than because it is necessary, since all the same logarithms also occur in the rest of the table. - * - Given a number, to find its logarithm. If the given number consists of five figures, the first four are to be sought in the first column headed N (number), and the last in the horizontal line at the top. Then the last four figures of the logarithm will be found where the horizontal line, eorresponding to the first four figures of the number meets the ver- tical line corresponding to the fifth figure. The first three figures of the logarithm stand in the column headed 0, and are common to all the figures in the same horizontal line. Where these are not given on the horizontal line, the immediately-preceding three figures have to be taken, except when the first of the last four figures is marked with a line above it, in which case the first three figures of the logarithm are those which occupy that position in the next horizontal line. Example 1. Required the logarithm of 24818. At p. 35 looking down the first vertical column we stop at | 2481, and then follow the horizontal line to the right as far as the column headed 8. Here we find the number 7668. These figures are annexed to the number 394, which remain the same for several lines, and are placed three lines higher up in the co- lumn headed 0; so that we get 394 7668. The index which is not set down in the table is 4 throughout, hence log 24818 = 4.3947.668. XVI INTRopUCTION. Example 2. Required the logarithm of 24833. Here the last four figures are 0292, the first of which is marked with a line (6), hence they are to be combined with 395; therefore the logarithm of 24833 is 4.3950292. When the given number besides an integer part of five figures contains a decimal fraction, the difference of the logarithms of the two whole numbers of five figures between which the given number lies has to be multiplied with the decimal fraction, and the product to be added to the logarithm of the whole number. Thus let the number be 24833.73; this being contained between 24833 and 24834 whose logarithms differ by 0467 —- 0292 = 175, we multiply 175 by 0.73 which gives 128. Adding this to log 24833, which was 4,3950292, we get 4.3950420 for the log of 24833.73. To facilitate this multiplication every page contains small additio- nal tables in a column headed P. P. (proportional parts) which for each of the differences occurring on that page give the several tenths, whence the hundredths, thousandths, etc. are easily deduced. In the last example we make use of the table headed 175, from which we get * for 0.7 . . . . . 122.5 for 0.03 . . . . . 5.25 - together 127.75 of which the decimal fraction is rejected, but the last figure is increased by an unit, since the omitted fraction amounts to more than 0.5. By means of the logarithms of the numbers, having an in- teger part of five figures, it is easy to find those of all other numbers written with the same significant figures; for their lo- garithms will only differ in the index. Thus if the logarithm of 24,83373 is required, we first find the log of 24833.73 and sub- tract from it log 1000. Since the latter = 3, we get log 24.83373 = 1.3950420. In the same way log 248337.300 = log 24833.73 + log 10000 = log 24833.73 – 4 = 8.3950420. If the given number is a proper fraction, as for instance 0.06103, we find at 6 iO30 TOOOOOOT therefore log 0.06103 = log 61030 – 6 = 4.7855.434 – 6, which would be negative, viz. — 1.2144566; but it is more convenient for calculation to write 8.7855.434 – 10, so that the fraction in the logarithm may be positive. The general rule then, is: form p. 108 log 61030 = 4.7855.434, and since 0.06103 = d- C-. mºmº-º-º-º: INTRoduction. - XVII a number of five figures in the integer part from the given num- ber either by annexing cyphers or by separating the first five figures; find the fractional part of the logarithm of this num- ber, and give an index less by one unit than the number of figures in the integer part of the given number. The index of a proper fraction is found by subtracting the number of cyphers between the decimal point and the first significant figure from 9. Given a logarithm, required the corresponding number. A logarithm being given, and it being required to find the corresponding number, we first look out the first three figures of the decimal fraction in the logarithm in the column headed 0, and then in the columns headed 0, 1, 2 ... those four figures, which are next less than the remaining four figures of the given logarithm. We now take out from the vertical column headed N the number consisting of the four figures, which are on the same horizontal line that contains the last four figures, and as fifth figure, the one at the head of the column. For example, if the logarithm 2.5833980 be given, we find at p. 62 the logarithm 583 3915, to which corres- ponds the number 38317. The difference between it and the next greater logarithm is 113, whilst the difference between it and the given logarithm is 65. Now the figures following the first five places are found by dividing 65 by 113, that is to say, the next figure is obtained by taking this fraction 10 times, the two next by taking it 100 times, the three next by taking it 1000 times. It would be inexpedient to take more, because even the third figure is incertain. But this division may be facilitated by the table of proportional parts headed 113. We take from it the next figure 5 corresponding to 56.5 which is next inferior to 65; substracting 56.5 from 65, there remains 8.5. Taking this ten- fold, which gives 85, we find opposite to the next inferior number 79.1 the number 7 as the next figure in the number, and again increasing the difference 85 — 79.1 = 5.9 tenfold, which gives 59, and looking for the next inferior number in the table (which is 56.5) we find the figure 5, hence the figures following the first five are 575, and the number is written with the figures 38317575; and since the given logarithm has the index 2, the decimal point must be put after the third figure; therefore the required number is 383.17575. The index, however, might have any other value, the number would still consist of the same figures, only the po- —A XVIII INTRopUCTION. sition of the decimal point would change; thus if the logarithm were 9.5833980, the corresponding number would contain an in- teger part of 10 figures. But since the tables furnish only the first eight figures of the number, as found above, two cyphers must be annexed, giving the number 3831757500. If the lo- garithm were 7,5833980–10, the corresponding number would be 0.0038317575. Hence the computation of the proportional part which with a little practice and by making use of the small table of proportional parts may be made mentally, (so that no other figures need be written down than those actually sought), would stand thus: Given logarithm . . . . 2,5833.980 pag, 62. number 383.17 . . 2.5833915. Difference 65 by the table for the difference 113 5 . . . . 56.5 ( 85 again . . . . 7 . . . . 79.1 . . . . . . . 5 . . . 59 required number = 383.17575 In logarithmic calculations cases occur, in which the logarithm of a logarithm has to be taken. If for example a number is to be raised to a power, whose exponent is a number of many figures, or a similar root has to be extracted, we should have to mul- tiply or divide the logarithm of the given number by another large number; but this is again best done by the aid of logarithms. As a first example let it be required to raise the number 23.90087 to the power 1.1087023; here we take the log of 23.90087 which is = 1.3784137; and this must be multiplied by 1.1087023; hence we add the logarithms of both the numbers log 1,3784137 = 0.13937.96 log 1.1087023 = 0.0448149 log 1,5282504 = 0.1841945 and look out the number 1.5282504 corresponding to their sum. This is the logarithm of the required power; hence this power is the number, corresponding to this logarithm, viz. 33.748186. Again, to take a second example, required the 7.001705* root of 0.791; here we should have to divide the log of 0.791 which is 9.8981765 —- 10 by the index of the root. Now in this case the dividend is a difference, and it is simpler to restore the negative logarithm { f INTRoDUCTION. - XIX and to divide it than to divide the two terms of the difference separately, and to get the quotient by the subtraction of the re- sults. Now the negative logarithm is = –0.1018235; hence log 0.1018235 = 9.0078480 – 10 log 7.001705 = 0.8452038 log 0.0145427 = 8.1626442 — 10 Corresponding to the difference 8.1626442 – 10 we find the number 0.0145427, which is the logarithm of the root; but it is negative, since it has arisen out of the division of a negative lo- garithm by a positive number; hence the tabular-logarithm is 10 — 0.0145427 – 10 = 9.985.4573 – 10 and the corresponding number is — 0.9670687 which is the required root. TABLE II. Table II, (p. 188 to p. 287) serves to find log sin and log tan of an arc not greater than 5°, or the log cos and log cot of an arc lying between 85° and 90°. The left hand page of the table contains the logarithms of the sines of arcs between 0 and 5 degrees. Degrees and minutes are given at the top, the se- conds on the left hand margin. These logarithms are at the same time the log cos of the complementary angles, the degrees and minutes of which are indicated at the bottom of the page, the seconds on the right hand margin. Thus according to p. 210 logsin 1911'46" = 8.31961.73, which is also log cos 88° 48'14". The right hand page is constructed exactly similarly with regard to logtan of arcs between 0 and 5° and log cot of arcs between 859 and 90°. Given an arc, required its log sin or logian. For every full second the log sin and logtan are given in the table. If the arc contains additionally a fractional part of a second, the proportional part has to be calculated in the same manner as for the logarithms of numbers. For this purpose, the logarithm corresponding to the integer part of the seconds in the given arc is substracted from the log corresponding to the next full second, or vice versa, the difference is multiplied by the fractio- nal part of the second in the given arc, and the product added to, or subtracted from the former logarithm, according as the lo- garithms go on increasing or decreasing; the former being here the case for descending arguments and the latter for ascending XX INTRODUCTION. arguments. Thus let it be required to find logsin 20 19' 49".71. At page 234 we find logsin 2° 19'49" = 8.6091653, differing from the next greater log of sin 2° 19' 50" by 518, which multiplied by 0.71 gives 367.78 instead of which we take 368. Adding this proportional part to the preceding logarithm we get 8.6092021 as the required logsin 2° 19' 49".71. As a second instance let us find log cot 86° 53' 11".374. Ac- cording to p. 251 this log lies between 8.7355695 and 8.7355307 the difference of which is 388; multiplying this by 0.374 we get 145 which has to be subtracted from the former of these loga- rithms since they decrease for ascending arguments; hence the required log is 8.7355550. Given the log sin or log tan of an arc, required the arc. The process of finding the arc corresponding to a given log sin or log tan by means of table II is exactly the same which is adopted in finding the number corresponding to a given logarithm in table I. We look out the logarithm either next above or next below the given one, according as the logarithms increase or decrease with the increase of the arc; form the difference be- tween it and the given logarithm, and divide it by the whole dif. ference between the two consecutive logarithms of the table be- tween which the given log lies. The quotient is the fractional part of a second which has to be added to the whole number of seconds contained in the arc corresponding to the logarithm, from which we had started; for example let 8.5139150 be the given log cos. The next greater log of the table is according to page 224, 8.5139642, differing from the given one by 492, but from the next smaller one in the tables by 645; hence the arc is that corresponding to the preceding logarithm, which is 88° 7' 43" in- creased by ; or 0",763, i. e. 88° 7' 43”.763. When a calculation refers to arcs under 30 minutes, and it is required that the seventh decimal place of the logarithms shall be perfectly accurate, a condition which occurs in higher geodesy, we have to take into account five decimal places in the seconds in passing from the arc to log sin and log tan, or vice versa. In this case the use of table II becomes inconvenient both in consequence of the long multiplications and divisions in calcu- lating the proportional parts, and because it would be necessary INTRoDUCTION. XXI to take into account second differences. Here the application of table I is preferable. To find from it the logsin or logtan of an arc, convert it into seconds, take the log of the number of seconds, and add to it the corresponding value of S or T, gi- ven at the bottom of the page, each of which begins with 4,685. Thus if it be required to find log sin and logtan of 22' 57".7083, we have (see p. 13) log 1377.7083 = 3.1391573 S 22' 58” = 4,6855716 T 22' 58” = 4,6855813 log sin = 7.8247289 log tan = 7.8247386 where in interpolating we have only to take account of whole seconds. If the arc were 137".77083, we should as before take log arc from p. 13, but the numbers S and T with the argument 2' 18"; from p. 2; thus we should have log 137”.77088 = 2.1391573 S 2' 18" = 4.6855748 T 2' 18" = 4.6855749 logsin = 6.8247321 log tan = 6.8247322 If conversely, it be required to find the arc corresponding to a given logsin or log tan, we first take the arc to the nearest second below from table II, and look out in table I the corre- sponding values of S and T; we subtract these from the given logarithm and take out the number corresponding to the difference, which gives the required arc in seconds. Thus let 7.1690522 be a given log tan. According to p. 189 the corresponding are lies between 5' 4" and 5' 5"; at p. 3 the value of T is 4,6855752, hence log tan . . . . 7.1690622 - T. 5’ 4” . . . . 4,6855752 Difference 2.4834770 = log 304,4227 hence arc = 304".4227 or 5' 4".4227. - - In this method it would be necessary to refer to two or even three different places of the tables; to avoid this inconvenience a table has been added at p. 575 which for arcs up to 35' gives with much more readiness all transitions between S, arc and log sin as well as those between T, arc and logtan. For extensive geodetic calculations this table may be taken out of the book and mounted on cardboard, to be used as an auxiliary table, besides e ºs ºr ºººººººººº-ºº: XXII INTRODUCTION. which we require only the table of logarithms of the numbers of the seconds in the arc. In regard to the construction of this table, it is to be observed, that the value of S = 4,6855749 holds up to 1' 39" and log sin 6.681. From 1' 40" or logsin = 6.682 . . . the succeding value of S = 4,6855748 is to be used. All other values of S answer accurately to the arcs and logsin on the same line with them, so that in passing from the arc or log sin to the number S that value of S has to be taken, which lies nearest to the given arc or log sin. The same rule holds for T. Hence, except for a few values of S and T towards the end of the table which increase by 10 units at a time, all interpolation is avoided, as with a glance at the table we can at once take out the re- quired S or T. TABLE III. This table contains for every ten seconds of the quadrant the logarithms of the sines, cosines, tangents, and contangents. From 0 to 45" the degrees are placed at the top of the page; the minutes and seconds, denoted with ' and " on the left hand margin, which is to be combined with the heading at the top of the page. From 45° to 90° the degrees are put at the bottom of the page, the minutes and seconds at the right hand margin, and the name of the trigonometrical function at the foot of the co- lumn. Arguments that are opposite one another are complemen- tary (i. e. make together 90°) and the sines and tangents (i. e. their logarithms) of an arc above 45° are also placed opposite to the sines and tangents of its complement, because the former are respectively the cosines and cotangents of the latter, and vice versa. For the sake of symmetry the sine is placed next to the argument, next to it the tangent, which is followed by the cotan- gent, and this by the cosine; and since for complementary angles the same logarithms hold, but in an inverse order, there is again next to the argument the sine, followed in order by the tangent, cotangent, and cosine, as may be seen by the names at the top and bottom of the columns. The differences of any two consecu- tive logarithms are placed for the sine and cosine immediately to the right on the intermediate line, and are headed d (differentia); for the tangents and cotangents they are also placed between these columns on the intermediate line and are headed d. c. (dif- ferentia communis) since these differences hold for both. The sines INTRopUCTION. XXIII and cosines of all arcs in the quadrant are proper fractions, and so are the tangents for arcs below 45°; hence their logarithms would be negative. But the index and the fraction have been made positive by the addition of 10, so that — 10 has to be sup- plied. For tangents of arcs between 45° and 90° this supplement must be omitted. Given an acute angle, required its sine (log sin). As the table contains the sine only for every tenth second, we have to interpolate for the units and its decimal parts. This is done, as in the case of the logarithms of numbers, by multi- plying the decimal fraction formed by the tenth part of the units with the appended fraction by the difference, and adding the pro- duct to the logsin of the next inferior multiple of 10"; for ex- ample let it be required to find logsin 18° 51' 27".21. Here the sine of 18° 51' 20" is 9.5094491, which differs from the next in the table by 616; multiplying this by 0.721 we get 444, which added to the preceding logarithm gives 9.5094935, the number required. The formation of this product, when no separate auxiliary table of proportional parts 1) is employed, is facilitated by the small tables of differences on the margin. Since for want of space it has not been possible to put down all these differences we in every case take the nearest; in the present instance we take that for 614. It gives - for 0.7 . . . . 429.8 for 0.02 . . . . 12.3 for 0.001 . . . . 0.6 together T442.7 But since the difference 616, is greater by 2 than 614, we have to add 0.721 × 2 = 1.4, which gives 444 as the proportio- nal part. Similarly we might have made use of the table headed 617 on the left hand page, which would have given 444.9 and from this we would have had to subtract 0.721 × 1 i. e. 0.7, so that the result would have been the same. Given an acute angle, to find its tangent (log tan). The logarithms of the tangents like those of the sines go on 1) Bremiker, Tafel der Proportionaltheile (Table of proportional parts). Berlin, Ferd. Dümmler, 1843. - H XXIV INTRODUCTION. increasing as the arc increases from 0 to 90°, so that the pro- portional part has again to be added. Its computation is exactly like that for the sine: the tenth part of the number formed of the units and the decimal part of the seconds is multiplied by the whole difference and the product added to the log tan of the next infe- rior arc in the table, and here again, if better means are wanting, recourse may be had to the small difference tables in the margin. Thus let it be required to find logtan 56° 22' 3".89. At page 491 we find logtan 56° 22' 0" = 0.1770234, differing from the next greater tangent by 457 (a difference found above the lo- garithm since the argument is ascending). The small table for 457 gives - - - for 0.3 . . . 137.1 0.08 . . . 36.6 0.009 . . . . 4.1 for 0.389 . . . 177.8 or 178 Adding 178 to the preceding log, we find 0.1770412 the required logtan. - - - We may here observe, that a computer who has had some little practice, shortens the calculation of the proportional parts very ma- terially; and in the last example he would not write down any figures excepting those in the required logarithm. He would proceed in the following manner. Having opened the book at the proper page, in this case p. 491, he points with a finger of the left hand to log tam 56° 22' 0". A glance shews, that 457 is the proper difference. (A practised computer in order to avoid the risk of a mis-print will verify at the same time, that this is really the difference of the two logarithms standing one above the other.) Keeping the finger of the left hand pointing, he takes from the small table headed 457 with the argument 0.389 first 4.1 for the last figure 9; this he adds mentally to 36.6, which corresponds to the second figure 8; this again gives 40.7, which is added to 137.1, which number is op- posite to 3. The sum 177.8 for which 178 is taken, is added to the last four figures 0234 of the logarithm, to which the finger points; this gives 0412 as the last four figures of the required log. These are finally read together with the first figures 0.177, and written down in their proper place on the paper on which the calculation is made. The mental calculation is much facilitated by acquiring the habit of forming the sums of two numbers not as usual from right to left, but from left to right, which has gº- + - INTRODUCTION. XXV the advantage of giving the last four figures of the logarithm in this order, and enables the calculator to write down from left to right the whole logarithm, consisting of eight figures. Reading sums and differences of two logarithms placed one above the other from left to right has in general many advantages in calculations, both because it is more convenient to write from left to right, and because we may use the number thus read as the argument for looking out the corresponding arc, without writing down the number itself, which is frequently no further needed. Given an acute angle to find its cotangent. The logarithms of the cotangents and tangents of the same arc always have the same sum 10, or properly 0, since we have mentally to supply either to the tan or cot the number — 10. Hence the cotangents continually decrease as the arc increases from 0 to 90°, and the proportional part which has to be calcu- lated with the same difference as the tangent must be subtracted. Thus let it be required to find log cot 14° 55' 18".02. At page 379 we find first the logarithm 0.5743959 as log cot 14° 55' 10" with the difference 846. The small table for the difference 845 gives for 8.02 the proportional part 677.7, which on account of the difference being greater by 1 has to be increased by 0.8, giving 678.5; this subtracted from the above number leaves 0,5743281 the required log cot. Given an acute angle, to find its cosine. The log cos is found in the same manner as the log cot, be- cause it, too, decreases continually with the increase of the acute angle. If the angle is 45° 41'44".25, we subtract from log cos 45° 41' 40" which is 9.8441569 with the difference 216 (see p. 555) the product of 0.425 X 216, i. e. 92, which gives the required log cos = 9.8441477. - Given a logsin, cos, tan or cot, required the corresponding acute angle. When the acute angle corresponding to a given logarithm of a trigonometrical function has to be found from the table, two cases must be distinguished, according as the logarithms and arcs do or do not increase simultaneously. In the former which is that of the sines and tangents we look out the next smaller lo- garithm, subtract it from the given one and divide this difference XXVI INTRoduction. by the whole difference between it and the next greater logarithm in the table. The quotient being put in the form of a decimal fraction, the decimal point is moved one place to the right, and the result will be the number of units and parts of an unit of a second, which have to be taken together with the arc corresponding to the log from which we started. The division may be exe- cuted by the aid of the tables of differences. Example: log sin being 9.8725738 we find at p. 540 the next smaller log sin 9.8725654, corresponding to the arc 48° 13'10", and differing from the given log by 84, whilst the whole difference is 188; now a glance at the small table headed 188 shews that 84 contains 0.4, and opposite 4 the table gives 75.2, the number next below 84, and differing from it by 8.8. These, according to the same table, give 0.04 with a remainder 1.3, because 7.5 corresponds to .04; this remainder 1.3 gives .007 more; hence the whole decimal fraction is 0.447. Moving the decimal point one place to the right, we get 4.47 as the number of seconds which, added to 480 13'10", give 48° 13'14".47 for the required arc. Should the margin not contain a difference table for the whole difference we may make use of the one calculated for the next greater or smaller number, provided only we increase or di- minish the numerator of the required fraction in the same pro- portion. Leth the given fraction be § and let the table for Q =E q be used; it suffices to take instead of P the number P +. and use this as argument. Thus if there be given log tan=9.2632000, the next smaller logtan (see p. 352) is 9.2631240, and the difference 760 has to be divided by 1188. If now the table for 1180 be used, we must take 760 — ; × 8 = 760–5=755 instead of 760; and corresponding to this we find by the table 0.640. Similarly we might make use of the table for 1190, in which case we must increase 760 by 2 × # or by 1; and corresponding to 761 the table for 1190 gives the same result, viz. 0.640. Hence the arc cor- responding to the given logtan is 10° 23' 16".40. When the logarithms decrease with the increase of the arc, which is the case with the cot and cos, the next greater logarithm is looked out, from it the given one is subtracted and this diffe- E------------ INTRoduction. - XXVII rence divided by the whole difference; the rest of the process re- mains as before. For example let log cos = 9.7107395; at p. 475 we find log cos 59° 5' 10" = 9.7107512 which is next greater than the given one, differing from the given log by 117, whilst the whole difference is 352, and by the small table for 352 we get ; = 0.332; hence the arc is 59° 5' 13".32. When the sines are to be determined for an angle exceeding 900, we subtract from it one, two, or three right angles as the case may be, and take the sine of the remaining acute angle when two right angles have been subtracted, but take the cosine when one or three right angles have been subtracted. It is to be observed, besides, that the sines are negative in the third and fourth quadrants, which is denoted by an n annexed (as an index) to the logarithm. In like manner log cos of an angle exceeding 900 is found by first taking from it one, two, or three right angles, and then determining respectively the sine, the cosine or the sine of the remainder, and observing that the cos is negative in the second and third quadrants, which again is indicated by annexing an n to the logarithm. For tangents and cotangents which are negative in the second and fourth quadrants the same interchange has to be made, when 1 and when 3 right angles have been sub- tracted. These relations are shown in the following tabular form, in which z represents an angle in the first quadrant, so that 900 + z, 1809 -- z and 270°-H z lie in the second, third, and fourth quadrants respectively. 8.TC sine cosine tangent cotangent z | + sin z + cosz | + tan z + cot z 900 + z | + cosz — sin z — cot z — tan z 1800 + z — sin z — cosz + tanz + cot z 270° -- z — cosz + sin z — cotz — tanz From this table it appears conversely, that corresponding to a given value of every trigonometrical function, when its algebraic sign is unknown, four different arcs in the first four quadrants may be found; and two when the sign is given. If for example a log cos with n annexed is given, so that the cosine is nega- tive, this taken positively may be looked out in the column of the cosines, when 180° have to be added to the corresponding XXVIII INTRODUCTION. acute angle; or it may be found as the sine of an acute angle which increased by 900 has the given cosine. For an arc to be completely determined by a trigonometrical function we require, besides the sign of this function, also that of any other trigono- metrical function of the same arc, provided the two are not tan and cot, or we must know from other sources in what quadrant the arc lies. Trigonometrical calculations are usually so arranged, that for the determination of an arc the logarithms of two numbers, respectively proportional to the sine and cosine, with their proper signs are finally obtained, so that no doubt remains as to the quadrant. For if the logarithms of a sin A and a cos A are given, their difference is log tan A, and A lies in the first or third quadrant, according as sin A and cos A are either both positive or both negative, the tangent being positive; or A lies in | the second quadrant, when sin A is positive, and cos A negative; finally A lies in the fourth quadrant when sin A is negative and cos A positive, in both which cases tan A is negative. Hence in the first case (when tan A is positive), the logarithm is looked. out amongst the tangents, and the corresponding acute angle is taken out, or that angle increased by 1809; in the second case, when the tangent is negative, we look out the log in the column of cotangents, take out the corresponding acute angle and increase it by 90° or 270° respectively. The angle A being found, the subtraction of log sin A from the first or of log cos A from the second number gives loga. The following examples will serve to illustrate these rules. - log a sin A 3,0857112 9.5028101 1.8889108n 8,1158505n loga cos A 2.7130088 9.6729.909 n | 20057687 n | 7,9210259 tan A || 0.3727024 9.8298192 n || 9,878.1421 0.1948.246 m A 67° 1' 34".65 || 145° 56' 56”.80 217° 3’54”.67 302° 33' 32”.76 : A 9.964/106 || 9,9183188n 99010159n 99951135m loga || 3.1216006 9.7546771 2.1037928 8.1901070 * In these examples a has been regarded as positive; if a is assumed to be negative, the arc A will change by 1809; the tan A which serves only as argument need not have been written down in the preceding calculation. º : —-E->QX-E--- I. T A B L E O F. B R I G G S' O R C O M M ON L O G A R IT H M S of T H E N ATURAL NUMBERS FROM 1 TO 100000. 2 | H Log. Log. Log. N. Log. O sº 50 698 97oo 100 ooooooo | 150 176 ogr3 200 301 ogoo * ooooooo 51 || 707 5702 || IoI ooq 3214 || 151 :: #. 2OI 303 1961 2 3oz ogoo 52 716 oog3 || Ioz oo8 6002 || I52 | 181 8436 202 || 305 3514 3 477 I213 53 | 724 2759 || Io9 or 2 8372 || 153 184 6914 || 203 || 307 4960 4 6oz O500 || 54 | 732 3938 Ioq or 7 of 33 I54 18752.07 || 204 || 309 63oz. # 698 9700 || 55 749 3627 | Io; ozr 1893 I55 190 3317 | 205 || 311 7539 778 1513 || 56 || 748 1886 || Ioë oz.5 3oš9 || 156 193 1246 206 || 313 8672. 845 og8o 57 || 7558749 || 1 ozo 3838 || I57 1958997 || 207 || 315 9703 % 903 O900 5 763 ſ: : o:3 4238 I5 138 6571 || 208 318 of 33 9 954 2425 || 59 77o 8520 Log ox7 4265 || I59 || 101 3971 209 || 32O 1463 10 ooooooo 60 778 1513 || 110 o41 3927 | 160 204 Izoo || 210 | 322 2193 11 o41 3927 | 61 || 785 3298 III o45 3230 | 161 206 8259 211 || 324 2825 12 of 9 1812 || 62 792 3917 | 112 o㺠21 162 | 209 51.56 || 212 || 326 3359 13 | 113 9434 || 63 || 799 3405 || 113 oš3 of 84 || 163 212 1876 || 213 || 328.3796 14 || 146 128o 64 806 1800 || 114 oš6 9049 || 164 214 8438 || 214 || 330 #: I 176 og I3 || 65 | 812 9134 || 115 oôo º: 165 217 ; 215 332 4385 I 204 1200 | 66 || 819 5439 || 116 oé445 I66 || 220 fo&i 216 || 334 4538 I 23o 4489 || 6 826 o'748 || 117 o68 1859 || 167 222 7165 || 21 336 4597 I 255 2.725 || 6 832 ; 118 o?r 8826 || 168 225 3093 21 338 4565 19 278 7536 || 69 || 838 8491 119 of 5547o 169 2278867 || 219 || 34o 4441 20 || 3or ozoo || 70 | 845 og8o | 120 of 9 1812 || 170 || 23o4489 220 || 342 4227 21 || 322 2193 || 71 || 851 2583 || 12I o82 7854 171 232 996.1 221 || 344 3923 22 || 342 422 72 | 857 3325 || 122 o86 3598 || 172 #3 5284 || 222 || 346 3530 23 361 727 73 || 863 3229 || 123 o89 9051 || 173 || 238 odó1 || 223 348 3049 24 38o 2112 || 74 869 23.17 | I24 og3 4217 || 174 240 : 224 35o 248o 25 397 9400 || 75 § o613 || 125 og6 91oo 175 243 oz8o 225 | 352 1825 26 414 9733 || 76 886 8136 | 126 ſ 160 3705 || 176 || 245 5127 226 || 354 1084 2 431 3638 7 886 4907 || 127 | 1038o37 || 177 247 9733 22 356 ...; 28 447 is8o || 78 | 892 og46 || 128 107 2106 || 178 256 #. 228 357 934 29 || 462 3980 || 79 | 897 6271 || 129 11o 5897 || 179 252 8530 229 359 8355 30 || 477 1213 80 || 903 oooo | 130 || 113 9434 180 |255 2725 || 230 | 361 7278 31 || 491 3617 | 81 908 485o 131 || 117 2713 | 181 257 6786 231 || 363 6120 32 505 I5oo 82 913 8139 || 132 || 126 5739 || 182 260 of 14 232 365 488o 33 518 5139 || 83 919 oz81 || 133 123 8516 || 183 || 262 4511 || 233 || 367 3559 34 531 4789 | 84 || 924 2793 134 127 1048 184 264 8178 || 234 369 21.59 35 | 544 ob8o 85 929 41.89 || 135 | 130 #. 185 267 1717 || 235 | 371 ob?9 36 556 3025 || 86 || 934 4985 || 136 || 133 5389 || 186 269 5129 || 236 372 91.26 37 568 2017 | 87 | 939 51.93 || 137 || 136 7206 || 187 271 84.16 || 237 || 374 7483 38 579 7836 88 944 4827 | 138 || 139 8791 188 274 1578 || 238 376 5770 39 591 oë46 | 89 949 390o 139 || 143 or 48 || 189 276 4618 || 239 || 378 3979 40 | 602 oboo 90 | 954 2425 || 140 || 146 128o 190 || 278 7536 || 240 || 38o 2112 4I 612 7839 9I 959 O4I4 I4I I49 #. 191 281 og34 || 141 382 or 7o 42 623 .# 92 963 7878 142 | 152 2883 || 192 283 3ol.2 242 383 8154 43 633 4685 # 93 || 968 4829 143 | 155 3360 | 193 285 5573 || 243 385 6063 44 643 4527 | 94 | 973 1279 || 144 1583625 | 194 || 287 8or 7 || 244 387 3898 45 653 2125 95 § 7236 || 145 | 161 368o 195 || 290 og46 245 389 1661 46 | 662 7578 96 || 982 2.712 || 146 | 1643529 | x96 || 292 2561 246 || 396 9351 4. 672 0979 || 97 986 7717 | 1.4 1673173 || 197 || 294 4662 : 247 392 6970 4. 681 2412 98 || 991 2.261 14 170 2617 | 198 || 296 6652 || 24 394 4517 49 || 69° 1961 99 || 995 °352 149 || 173 1863 | 199 || 298 853, 249 || 396 iº93 50 | 698 9700 100 ooooooo 150 176 ogrg 200 || 3or ozoo 250 397 9400 | N. | Log. | N. | Log. | N. Log. N. : Log I N. Log. OT = O 5o = o IOO = O 15o = o o' O I 2, O O 5 & 40 O 3 S. 4.685 5749 T. 57 574 5748 5749 5749 5749 5749 2OO = O 5750 3 5748 2O N. Log. | N. Log. T N. Log. | N. Pi— N. 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P. 17ooo"= 4°43'2o" :7oo"= o° 28'2o" S. 4.685 57oo T. 5847 17Ioo = 4 45 o 17Io = o 28 3o 5699 : 5848 172oo = 4 46 4o 172o = o 28 4o 5698 5849 173oo = 4 48 2o 173o = o 28 5o 5698 5851 174oo = 4 5o o 174o = o 29 o 5697 5852 2 I 6 || 7 || 8 9 N. 0 || 1 || 2 1750 |243 oz8o o629 o877 || 1125 | 1373 || 1621 | 1869 2117 || 2365 2613 5 I 2861 |3199 || 3357 || 3695 |3853 |4191 4349 |4597 || 4845 5093 52 5341 5589 |5837 | 6685 6332 || 6580 | 6828 || 7076 | 7324 || 757, 53 7819 |8067 8315|8562 8810 || 9058 93.05 9553 98or ão.48 54 244 oz96|oš43 |o]91 || 1039 || 1286 ſ 1534 :::::::: 2276 || 2524 55 2771 || 3019 || 3266 3514 || 3761 |4098 || 4256 4503 || 4750 4998 24.9 24.8 49.8 49.6 74.7 || 74.4 99.6 || 99.2 I24.5 I24.O 56 5245|5492 |5740 5987 | 6234|6482 6729 6976 | 7223 74;o .4 || 148.8 57 7718 7965 | 8212 | 8459 |8706 | 8953 9200 9448 j9695 |9942 I74.3 173.6 58 || 245 or 89 o436 o683 o')3o 1177 || 1424 1671 | 1918 2165 241.1 199.2 198.4 I 4. 9 4. 59 2658|2995 || 3152 || 3399 |3646 |38.93|4140|4386.4633 |488o 1760 5127 5373 || 562o 5867 || 61.14 || 6360 | 6607 | 6854 |71oo 7347 224. 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P. 1850o"- 5° 8'2c” 1850"- o'30' 50° S. 4.6855690 T. 586 18600 = 5 Ic o ; : . . 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III.5 9196 | 9419 | 9643 | 9866 | Öo89 |ö312 | ö536 | ö759 | C982 | T2o5 6 ## 289 1428 | 1652 | 1875 | 2o98 | 2321 | 2544 | 2767 | 299o | 3213 | 3436 # ## 366o | 3883 |41o6 | 4329 | 4552 | 4775 | 4998 | 5221 | 5444 | 5667 | 9 | 260.7 589o |6112 |6335 | 6558 | 6781 |7oo4 | 7227 | 7459 | 7673 | 7896 8118 | 8341 | 8564 | 8787 | 9o1o | 9232 | 9455 | 9678 | 99o1 | O123 29o o346 | o569 | o792 | 1o14 | 1237 | 146o | 1682 | 1905 | 21:27 | 2350 o 1 2 3 4 | |5 | 6 | |7 | 8 | 9 | P. P. 19ooo'= 5°16'4o" 19oo'= o 31'4o S.4.685 5687 T. 5872 191oo = 5 18 zo 191o = o 31 5o 5687 5873 192oo = 5 2o o 192o = o 32 o 5686 5874 I93Oo = 5 2I 4o 193o = o 32 Io 5685 5875 194OO = 5 23 2c 194o = o 32 zo 5685 5877 25 0 1 2 3 4 5 6 7 8 9 P. P 1950 |290 ox46|os69 |o/92 | IoI4 | 1237 || 1460 | 1682 | 1905 |2127 |235o | . 5.I 2573 || 2795 || 3oz8 || 3240 || 3463 || 3686 3908 || 4131 || 4353 |4576 52 4798 |5ozi 5243 5466 5688 $910 6133 |6355 |6578 || 6 53 7022 | 7245 7467 || 7690 7912 || 8134 8356 | 8579 |88or 9023 223 54 9246 |9468|9690 9912 || 5135 | 6357 || 5579 || 38or | Fox3 |I245 I 22.3 55 291 1468 1690 | 1912 || 2134 2356 || 2578 28oo 3022 || 32.44 |3466 2. : #| 3689|39í |4:33|4335|3577|45% solo |34 |34:4|5686 . 57 5908 || 613o 6352 || 6574 6796||7018+ 7240 7461 7683 7905 5 III.5 58 8127 | 8349 || 8579 |8792 9014 || 9236 |9458|9679 || 9901 || 6123 6 133.8 59 || 292 of 44 oš66 oz88 || Ioog i 1231 || 1453 | 1674 1896 || 2118 2339 7 || 156. 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P. 19500' + 5°25' o' 1950"= c 32' 30" S. 4.6855684 T. 5878 19600 = 5 26 4o 1960 = o 32 4o 5683 5879 19700 = 5 28 20 1970 = o 32 5o 5683 5881 198oo = 5 3o o 198o = o 33 o 5682 5882 19960 = 5 31 40 1990 = o 33 Io 5681 5883 26 N. 0 1. 2 3 4 5 6 7 8 9 P. 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To T1 T2 TāTTTT GT7 || 8 || 9 || P. P 26oco" = 7° 13' 20" 26oo"— o'43'ao" S. 4.685 5634 T. 5979 26Ioo = 7 15 o 26Io = o 43 3o 5633 598o 262oo = 7 16 4o 262o = o 43 4o 5632 5982 26300 = 7 18 20 2630 = o 43 5o 5631 5984 264.00 = 7 zo o 2640 = o 44 o 5636 5986 39 N. | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | P. 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O 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 P. P. 27coo’e 7°30' o' 27co"- o'45" o' 8.4.685562.5 T. 5997 27100 = 7 31 40 27Io = o 45 Io 5624 999 #7200 = 7 33 zo 2720 = o 45 zo 56.23 273co = 7 # © 273o = o 45 30 562a 6ooz 274.00 = 7 36 4o 2740 = o 45 4o 5621 6ooq 4 I H 9 O 2 | 3 5 | 6 | 8 P. 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P. 5450o'- 15° 8'20" 546OO = 15 Io o 54 547OO = 15 II 4o # = 3 # 2. 5450"- 1°30'5o" S. 4.6855243 T.6759 5242 676 5460 = 1 31 o 5470 = 1 31 Io 54&O = I 31 zo 5249 5238 3 ; 54900 = 15 15 o 6774 5490 = 1 31 30 51.36 N. 0 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 5500 || 74o 3627 ||3706 || 3785 | 3864 3943 |4ozz 41or 4180 |4259 |4338 O I 4416 4495 || 4574 |4653 || 4732 |4811 || 4890 §§ 5048 || 5127 O2. 5206 || 5285 5364 5443 5522 |5601 || 5679 |5758 |5837 |5916 O3 5995 6074 6153 62.32 63 II 6390 6469 6548 6626 6705 O4 6784 6863 6942 7921 7 roo 7179 || 7258 || 7337 7415 || 7494 O5 75.3 7652 |7731 7810 7889 |7968 8o37 || 8125 || 8204 || 8283 o6 8362 8441 8520 8599 || 8678 || 8756 8835 | 89.14|8993 9072 o7 91.51 |9239 |9308|9387 |9466 |9545 9624|9703 |9782 |9860 o& 9939 || Cor 8 || 5097 || 51.76 5255 || 5334 || 5412 || 5491 || 5570 3649 O9 74.1 of 28 o807 o885 oQ64 IO43 1122 | 1201 || 128o 1358 1437 5510 || 741 I516 1595 || 1674 || 1752 | 1831 || 1910 | 1989 || 2068 2146 2225 II 23O4 2383 || 2462 || 2541 2619 || 2698 || 2777 2856 2935 | 3on3 79 1 2, 3992 || 3171 325o || 3328 3407 || 3486 || 3565 3644 || 3722 || 38or I 7.9 I3 388o 3959 |4037 |41.16 || 4195 || 4274 || 4353 |4431 || 4510 || 4589 || 2 | 15.8 I4 4% |474%|##|49.4|4983 |5%;|343|##|*|#37%| }|...}} I5 5455 5534 || 5613 5691 || 577O |5849 5928 || 6006 || 6985 | 6164 -> 16 6243 6321 || 64oo 6479 || 6557 | 6636 || 6715 6794 | 6872 | 6.951 à #: I 793o || 7 Io9 || 7187 | 7266 | 7345 || 7423 75oz 7581 7660 7733| 7 || 55.3 I 7817 | 7896 || 7974 |8053 8132 || 8210 || 8289 || 8368 || 8447 | 8525 8 || 63.2 I9 8604 || 8683 |8761 8840 | 8919 |8997 9076 9155 9233 |9312 9 || 71.1 5520 741 9391 || 9469 9548 9627 | 9705 || 9784 |9863 |9941 30zo | Cogg 2 I 742 or 77 || O256 o235 | o413 o492 los? 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OT 1 || 2 || 5 TTTETSTTT's 9 || P. p. 55ooo"= 15° 16' 40" 55oo" = 1° 31' 40" S. 4.6855234 T. 6778 551co = 15 18 20 55 IO = I 3 I 50 S232. 6782 º 552.00 = 15 zo o 552O = I 32 O 523O 6786 553OO = I5 21 4O 553O = I 32 IO 5228 6789 554OO = 15 23 20 554O = I 32 20 5226 6793 97 0 1 -º-º- 3 6 744.293o 3oo8 3086 3165 3243 3399 3634 3712. 4495 52.77 6059 6841 7622 8404 91.85 9967 3791 4573 5355 6137 6919 77or 8482 9264 CO45 86 : 5433 6215 6997 7779 856,o 9342 or 23 3947 4729 55II 62.93 7075 7857 8638 942O O2OI 4O25 48o'7 5590 6372 7I53 7935 871 949 oz79 4182, 4964 5746 6528 31o og I 8873 9654 O435 4416 51 5981 §: 745 of 48 o826 O3O4 og82 IoGo 1217 I529 23Io 3091 3871 4652 5432 6212 6992 7772 I 2388 3169 3949 473O 55Io 6290 7070 785o 607 || 1685 2466 3247 4O27 5588 6368 7.148 7928 808 || 4886 1763 2544 3325 4IOS 5666 6446 7226 8o06 1841 2622 34O3 41.83 4964 5744 6524 §: o84 1998 || zo" 2778 3559 434O 512 o 59CO 668o 7460 8240 396 7458552. 863o 8708 8786 8864 902O 91.76 92.54 9332 746 on 11 o890 1670 2449 3228 4006 4785 5564 94 Io : o96 1748 2527 3306 4084. 4863 5641 9487 oz67 Ioq6 1825 2605 3383 4.162 494 I 57.19 9565 O345 II 24 1903 2.682. 3461 424O 5O19 5797 9643 O423 I2O2 1981 2760 3539 4318 5097 5875 9799 O57 I35 2137 2916 3695 4474 5252 6031 9955 O735 I5 I4 2.293 3O72. 3851 : 54o 6186 Öo33 o813 I592. 2371 315o 3929 47O7 5486 6264 7466342 6420 6498 6575 6653 6809 6965 7O42. 712o 7898 8676 94.54 747 O232 Ioog 1787 2564 • 3341 71.98 7976 8754 9532. O3 Io 1087 1864 2642 3419 ſ: 54 8832 961o o:87 1165 I942 2.719 3497 354 I32. 8910 9687 oq65 1243 2O2O 2797 3574 243. 2,IO 8987 9765 O543 I32O 2098 2875 3652 §: 365 9I43 992.1 o698 I476 2253 3030 3807 743 52I 9299 6076 o854 1631 2409 o8 || 3186 3963 821 598 9376 Ö154 O932 1709 2486 3263 4O40 747 41 18 41.96 42.73 435I 4429 4584 474O 4817 4895 5672 6448 § 8777 9553 748 of 29 I IOS 4973 574 65 3oz. 9 8855 9631 oqo'7 1182 505o 5827 6603 38o #. 8932 9708 O484 126o 5128 90 § §: 234 90Io 9786 o;62 I337 52O6 5982 67.59 535 3II 9087 9863 o639 I415 5361 6138 6914 . 467 9243 ôorg O794 1570 o872 1648 5516 6293 7069 7846 8622 9398 ÖI74 oQ5o 1725 5594 6371 7147 § 699 94.75 Ö251 Io27 1803 748 188o 1958 2O35 2II3 2190 2346 2423 25O1 2578 78 15.6 23.4 31.2. .O 46.8 54.6 62.4 7o.z 3 77 7.7 15.4 30.8 38.5 46.2 53.9 61.6 69.3 O | 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 555oo" = 15°25' o' 556,oo = 15 26 40 557OO = 15 28 zo 55 = 15 3o o 5550"- 1°32' 30" S. 4.6855225 T. 6797 5560 = I 32 4o 5223 6 5576 = I 32 50 522I 558o = 1 33 o 52 I9 I 6805 68o3 6812 55900 = 15 31 40 5590 = I 33 Io 5217 98 N. 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 P. 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P. 56000"- 15°33'20" 5600°– 1°33'20° S.4.685521.5 T. 6816 56Ioo = 15 35 o 56Io = 1 33 3o 5213 6820 562oo = 15 36 4o 562o = 1 33 4o 52 II 6824 563oo = 15 38 20 563o = 1 33 5o 5209 6827 56400 = 15 4o o 5640 = 1 34 o 52O7 6831 sºmeº 99 N. O 1 2 3 4 5 6 7 8 9 P. 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F. 645oo"- 17°55’ of §: = ##. ::::::::: *. = 18 o o 649co = 18 I 4o 645o"- 1'47'30" S. 4,685 5041 T. 7165 6460 = I 47 4o 5039 7169 :: * I 47 5o 5036 717 648o = 1 O : # 5032 7182 6490 = 1. 48 Io 8 * 1 16 P. 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P. 65ooo"= 18° 3' 20 65oo" = 1°48' 20" S. 4.685 5030 T. 7187 651oo = 18 5 o 65Io = I 48 30 5028 7.191 652OO = 18 6 4o 652O = I 48 40 5025 7I95 653oo = 18 8 zo 653o = I 48 50 5O23 72CO 4 654oo = 18 Io o 6540 = 1 49 o 502I 72O4 1 I 7 N. O 1 2 3 4 5 6 7 8 9 P. 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F. 655oo"= 18°11' 40" 655o’= 1°49' 10" S. 4.685.5oE.9 T. 7209 65600 = 18 13 20 6560 = 1 49 20 501.7 721 65700 = 18 15 o 6576 = 1 49 30 SOI.4 721 658oo = 18 16 4o 658o = 1 49 40 5012 7222 659Co = 18 18 zo 6590 = 1 49 $o 5olo 7227 I 18 N. || 0 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 P. P. 6600 || 819 5439 5505 || 5571 || 5637 5703 || 5768||5834 || 590o 5966 |6032 OI 6097 || 6163 6229 || 6295 || 6360 |6426 6492 || 6558 6624 | 668 O2 6755 6821 | 6887 || 6953 7or 8 || 7084 || 715o 72.16 || 7281 i. 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P. 7oooo"= 19°26'4o" 7ooo"- 1°56'40" S. 4.685 4915 T. 7416 7oloo = 19 28 20 7oro = 1 56 5o 4913 7421 7ozoo = 19 3o o 7ozo = 1 57 o 491 o 7426 703oo = 19 31 40 7030 = 1 57 Io 4908 7431 704 oo = 1 57 20 19 33 20 7o4o = - --- 4965 7436 | I 27 3 || 4 N. 0 1 || 2 F.T.T.T.T., TEF - 7050 | 848 1891 1953 | 2014 |2O76 2138|2199 || 2261 || 2322 || 2384 || 2446 51 2507 || 2569 || 2630 || 2692 2754 2815 2877 2938 |3000 || 3961 52. 3123 ||3|185 || 3246 |3308 || 3369 |3431 || 3493 |3554 || 3616 || 3677 53 3739 || 38oo 3862 | 3924 3985 |4047 || 4108 || 41.70 || 4231 4293 54 4355 |4416 || 4478 |4539 |46or |4662 |4724 |4786 || 4847 || 4909 55 § {:}}|{:}|{:}; 5216 || 5278 || 534o 5401 § 552.4 56 5586 || 5647 |5709 || 5770 5832 |5893 || 5955 |6017 | 6078 || 6140 57 62o.1 6263 || 6324 |6386 6447 || 6509 || 6570 | 6632 | 6693 |6755 58 6817 | 6878 6940 |7oor | 7063 || 7124 || 7186||7247 | 7309|| 7370 59 7432 || 7493 || 7555 7616 || 7678 || 7739 || 78or 7862 || 7924 || 7985 7060 | 848 8047 || 8109 || 817o 82.32 82.93|8355 | 84.16 | 8478 || 8539 8601 61 8662 |8724 |8785 |8847 | 8908 || 8970 9031 9093 || 91.54|9216 62 62 92.77 |9339|94oo |9462 |9523|9585 |9646|9708|9769 |9831 I | 6.2 63 9892 || 9954 || 5or 5 || 5077 || 5138|| 5199 || 5261 || 5322 || 6384 || 5445 2 I2.4 64 | 849 oso'ſ oš68 of 30 oé91 § o814 o876 |og37 |og09 || 1060 3 : 6 1122 || 1183 || 1245 || 1306 || 1368 || 1429 || 1490 1552 | 1613 | 1675 4 || 24. 6 1736 1798 || 1859 || 1921 1982 | 2044 2105 |2167 2228 2289 # #: 67 ;: ||...}|...}}|...}}}|...}}. 2658 || 2720 2781 || 2843 2904 || 7 || 43.4 68 2965 3927 3088 3150 || 32.11 § 3334|| 3396 || 3457 || 3518 || 8 || 49.6 69 358o 3641 || 3703 ||3764 |3826 || 3887 3948 || 4oio || 4071 |4133 || 9 || 55.8 7070 | 8494194 |4256 |4317 4378 |444o |4501 |4563 |4624 |4686 |4747 71 4808 || 4870 |4931 |4993 |5954 || 5115 || 5177 |5238||53oo |5361 72 5423 5484 |5545 5667 5668 || 5730 5791 5852 5914 || 5975 73 6037 || 6098 || 6159 6221 | 6282 || 6344 6405 || 6466 6528 6589 74 6651 || 6712. § 6835 | 6896 |6958 || 7919 |798o || 7142 | 7203 7 !; 7326||7387 |7449 |75io §: § . 7755 |7817 7 7878 || 7940 | 8oor 8662 8124|8.185 |8246 8308 || 8369 | 8431 7 8492 || 8553 |8615 |8676 |8737 || 8799 |8860 | 8922 |8983 |9944 7 9106 |9167 |9228 9290 |935i |9412 |9474|9535 |9596 |9658 79 9719 || 978o |9842 |9963 |9965 |Öo26 || 5087 || 5149 |&zio || 5271 7080 || 850 og33 og% oł55 oš17 oš78 oG39 oToI o?62 o823 o885 81 og46 || 1907 || 1969 || 1130 | 1191 || 1253 |1314|| 1375 1437 || 1498 6 82 1559 | 1621 | 1682 1743 #3 1866 | 1927 # 2050 || 2 III I º, 83 2172 2234 |2295 || 2356 2418 || 2479 || 2540 || 26oz 2663 2724 || 2 | 12.2 84 2786 2847 2908 2969 |3031 || 3092 || 3153 || 3215 3276 || 3337 3 | 18.3 85 3399 || 3460 | 3521 || 3582 |3644 || 3705 || 3766 || 3828 3889 || 3950 || 4 | *44 86 40" |4073 |4134|4195|4257|4318|4379|4449|450%|4563 || 3 à 8 4624 |4686 |4747 || 4808 || 4869 |4931 || 4992 || 5053 || 5115 || 5176 42.7 8 º; ;|#6|º]}.}}|##|#3;|####|##|###| || 48.8 89 5856 || 5911 5972 |6034 6095 || 6156 || 6217 | 6279 |634o 64or 9 || 54.9 7090 || 850 6462 6524 || 6585 | 6646 |6707 |6769 |683o | 6891 |6952 7on 4 91 7975 7136 || 71.97 || 7259 | 7320|| 7381 7442 || 75 § 7626 92. 687 | 7749 ſ: §: 7932 |7993 |8655 |8116 || 8.177 | 82.38 93 3oo 8361 | 8422 | 8483 || 8545 || 8666 8667 || 8728 |8789 |8851 94 8912 º: 9934|909; 9157 |9218 |9279 || 934o 94oz 94.63 95 9524 || 9585 || 9646 |9708 |9769 |983o 9891 |9952 CoIA 6975 96 || 851 or 36 joig'ſ oz.58|| 0320 oz8i 6442 ošo? | offé4 || 0626 of 87 § of48 o809 ; oQ32 oQ93 || 1054 1115||1176 | 1238 1299 9 1360 || 1421 | 1.482 1544 1605 || 1666 || 1727 | 1788 1849 || 1911 99 1972 2033 2094 || 2155 2216 2278 || 2339| 24oo 2461 2522 7100 || 851 2583 |2645 2706 |2767 |2828|2889 |295o 3012|3073 3134 N. || 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || P. P. 70500"- 19°35' o' 7050"= 1°57'30° S. 4.685.4903 T. 7440 70600 = 19 36 4o 7060 = 1 57 40 ; : Z: 70700 = 19 38 20 7. It # *. 4898 7450 7 = 19 40 o 7c8o = 1 58 o 4896 7455 709co = 1941 40 7090 = 1 58 lo 4893 7460 I 28 8 N. || 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 9 || P. P. 7100 || 851 2583 || 2645 2706 || 2767 2828 2889 295o 3012 || 3073 || 3134 O I 3.195 || 32.56 3317 | 3379 |3440 || 35ol || 3562 3623 || 3684 || 3746 O2 3807 ||3868 || 3929 3990 4051 |41.12 || 4174 || 4235 || 4296 || 4357 O3 4418 |4479 |454o |4602 |4663 |4724|4785 || 4846 |4907 |4968 O4 5030 |5091 || 5152 52.13 5274|5335 | 5396 || 5457 5519 || 558o O5 5641 5702 || 5763 || 5824 5885 5946 || 6008 || 6069 || 6130 6.191 o6 6252 6313 || 6374 6435 | 6496 || 6558 6619 | 668o 6741 | 68oz. o'ſ 6863 6924 || 6985 || 7946 |7108 || 7169 || 7230|7291 || 7352 7413 o8 7474 || 7535 | 7596 § 7719 || 778o 7841 7902. gº; 8oz.4 O9 8085 8146 | 8207 || 8268 |8329 || 8391 | 8452 |8513 | 8574 |8635 7110 || 851 8696 || 8757 |8818 8879 | 894o 9oor 9062 9124 |9185 9246 I I 9307 |9368|9429 |9490 |9551 |9612 |9673 |9734 |9795 |9856 62 I 2. 9917 9979 || 5040 || 5101 || 5162 || 52.23 6284 || 5345 6406 || 6467 I 6.2 I3 852 of 28 oš89 of 5o of 11 o?72 o833 o894 og55 | 1017 | IoT8 2 : I.2.4 I 4 II39 Izoo 1261 || 1322 || 1383 || 1444 || 1505 || 1566 | 1627 1688 3 : I 5 1749 | 18 Io 1871 || 1932 || 1993 || 2054 2115 2176 2237 2298 4 24. 16 2.359 2420 2481 2542 2604 || 2665 2726 2787 2848 2909 à #: 17 297O || 3031 || 3092 || 3153 || 3214 || 3275 || 3336 || 3397 || 3458 |3519 #|## 18 358o 3641 || 3702 || 3763 ||3824 || 3885 |3946 || 4oo7 | 4068|4129 49.6 I9 4190 |425 |4312|4373 |4434 || 4495 |4556 |4617 |4678 || 4739 || 9 || 55.8 7120 | 852 48oo 4861 |4922 || 4983 || 5044 || 5105 || 5166 |5227 5288 || 5349 2 I 54Io 5471 5532 5593 || 5654 || 5715 5776 5837 || 5898 || 5959 22, 6ozo 6081 6142 6203 || 6264 || 6325 | 6386 || 6447 || 6508 || 6568 23 6629 |6690 6751 | 6812 | 6873 || 6934 6995 || 7056 7117 | 71.78 24 7239 || 73oo | 7361 7422 || 7483 || 7544 . 7666 7727 7788 25 7849 79 Io 7971 8o32 |8092 || 8:53 |8214 || 82.75 8336|8397 26 8458 85.19 858o 8641 8702 |8763 | 8824 8885 | 8946 9oo7 27 99.68 9129 9189 9250 | 9311 || 9372 9433 94.94 9555 |9616 28 9677 9738 9799 || 9860 99.21 |9982 | Co42 || 3103 || 5164 || 5225 2 853 oz86 og47 oAo8 o469 oš3o oš91 oß52 of 13 o?73 o834 7 130 853 oë95 o956 IoI7 | 1078 1139||12Oo 1261 1322 1383 || 1443 3 I 1504 || 1565 1626 1687 1748 || 1809 | 1870 1931 | 1992 2052 61 32. 21 13 || 2 174 2235 | 2296 || 2357 2418 2479 || 2540 26oo 2661 1 6.1 33 2.722 || 2783 2844 2905 || 2966 |3027 || 3088 || 3148 || 3209 || 32.70 || 2 | 12.2- 34 333i | 3392 |3453 |3514|3575 |3635 |3696 |3757|3818|3879 || 3 | #3 35 3942 |4901 |4962 |41.22 |4183|4244|4365 |4366 |4427 |4488 || | | *** 36 3348 |400|467°473 |479° 48;3|49.4|49.4|sess|3%| |: 37 5157 |5218 5279 || 534o 54oo 5461 || 5522 || 5583 || 5644 |5705 7 42.7 38 5765 5826 5887 5948 6909 || 6979 |613o 619; 6252 |$313|| 8 || 48.8 39 6374 6435 | 6495 || 6556 | 6617 | 6678 || 6739 68oo 6860 |6921 9 549 71.40 853 6982 7043 7104 || 7165 | 7225 || 7286 | 7347 | 7408 || 7469 |753o 4I 7.590 7651 |77|12 || 7773 || 7834, 7894 || 7955 |8016 |8077 | 8138 42. 8198 || 8259 8320 8381 | 8442 || 8502 || 8563 8624 |8685 |8746 43 8807 |8867 | 8928 8989 905o || 911o 9171 92.32 92.93 9354 44 : |3: 9536 9597 || 96.58|9718 |9779 |9849 9901 |9962 45 854 ooz2 |oo83 or 44 ozo; oz65 og26 og87 o448 ošog oš69 46 o630 o691 o752 o812 o873 |oo34 || Ogg5 | Io;6| II 16 || 1177 47 1238 1299||1359 || 1420 | 1481 1542 | 1602 | 1663 1724 || 1785 48 1845 | 1906 || 1967 2028 2088 2149 22 Io 2271 233 I 2392. 49 1453 |2514|2574.2635 |2696]2757 ||3817.2878]2939|3° 7150 | 854 3060 3121 || 3182 3243 || 3303 || 3364 || 3425 || 3486 || 3546 36O7 N. To TTT2 TSTAT5 Tg T 7 || 3 || 9 || P. P. 71ooo" = 19°43'20" 71oo" = 1° 58' 20" S. 4.685 4891 T. 7464 71 ICO = 1945 o 711o = 1 58 3o 4889 7469 712oo = 1946 4o 712o = I 58 4o 4886 7474 71300 = 1948 20 713o = I 58 5o 4884 7479 7.1400 = 19 5o o 7140 = I 59 o 4881 7484 I 29 N. 0. 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || P. 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[3868| N. L. o TT2 TTTTTTT.T.T. P. p. 715oo" = 19° 51' 40" 715o"= 1° 59' 10" S. 4.685.4879 T. 7439 716oo = 19 53 20 7160 = 1 59 zo 4876 7494 711oo = 1955 o 717o = 1 59 30 4874 7498 718Co = 19 56 4o 718o = 1 59 4o 4872 75 71900 = 1958 zo 71.90 = I 59 50 486.9 75 I 3o N. || 0 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || P. 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P. 815oo'= 22 38' zo 816oo = 22 4o o 817oo = 22 41 4o 81 = 22 43 zo 819oo = 2 2 45 o Of 815o" 816o 817o 818o 819o 5 zº 15" 5o S. 4.685 4619 T. 8c1o 2 16 o 4616 8o15 2 16 Io 4613 8o21 2 16 zo 461o 8o26' 2 16 3o 4607 8o32 --"- 15o N. 0 1 || 2 || 3 4 5 6 7 8 9 P. 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To TTT2 Ta T4 T 5 || 6 || 7 || 8 || 9 || P. P. 8zooo" = 22°46' 40" 82co’= 2° 16' 40" S. 4.6854605 T. 8o37 82 100 = 22, 48 20 8216 = 2 16 50 46oz 3 82,200 = 22 50 o 8220 = 2, 17 o 4599 8049 82.300 = 22 51 40 82.30 = 2 17 Io 4596 : 82400 = 22 53 zo 82.40 = 2, 17 zo 4593 1S 1 N. 0 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 P. 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N. o || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || P. P. 825oo" = 22°55' o' 825o'+* 2° 17'30° S. 4.685.4591 T. 8065 : = 2.2 56 4o 826o = 2, 17 4o 4588 8071 27,oo = 22 58 zo. 82.70 = 2, 17 5o 4585 7 828oo = 23 o o 8 = , ; }; 4582. #. 82900 = 2.3 L 4o 8290 = z 18 Io 4579 8o38 I 52 N. | 0 |1 | 2 |3 | 4 | 5 | 6 | 7 | 8 | 9 | P. 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P. 83ooo" = 23 3' zo 83oo'= 2'18' 2o S. 4.685 4577 T. 8o94 831oo = 23 5 o 831o = 2. 18 3o 4574 8o99 832oo = 23 6 4o 832o = 2. 18 4o 4571 81o5 833.oo = 23 8 zo 833o = 2. 18 5o 4568 8111 834oo = 23 Io o 834o = 2. 19 o 4565 8116 I 53 N. O 1 | 2 | 3 |4 | 5 | 6 | 7 | 8 | 9 | P. 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P. 835oo = 23°11'4o 835o'= 2°19 1o S. 4.685 4562 T. 8122 836oo = 23 13 zo 836o = 2. 19 zo 456o 8128 837oo = 23 15 o 837o = 2. 19 3o 4557 8133 838oo = 23 16 4o 838o = 2 19 4o 4554 8139 839oo = 23 18 zo 839o = 2. 19 5o 455I 8145 N. : 0 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || P. 8400 || 924 2793 2845 2896 || 2948 3ooo 3051 || 3103 || 3155 |3206 || 3258 or 3310 || 3362 |3413 || 3465 |3517 | 3568 || 362o 3672 |3723 ||3775 O2, 3827 3878 3930 || 3982 |4034 |4085 || 4137 |41.89 || 4240 |4292 o:3 4344 |4393 |4447|4499 |455o |4602 |4654|4705 |4757|4809 O4 4860 || 4912 || 4964 |5or 5 5067 || 5119 || 517o 52.22 5274 5326 oS 5377 || 5429 5481 5532 5584 || 5636 5687 | 57.39||5791 5842 o6 5894 || 5946 5997 || 6O49 || 61or 6152 | 6204 || 62.55 6307 || 6359 o/ 641o 6462 6514 || 6565 | 6617 | 6669 |67zo 6772 | 6824 | 6875 o8 6927 |6979: 7230 7983 |7134 |7185 | 7237|7289 |734o |7392 | og 7444 |7495 |7547| 7598 || 7650 |7702 |7753 |7805 |7857 |7908 8410 || 924 7960 8orz 8063 8115 8167 82.18 82.70 | 8321 |8373 | 8425 II 8476 |8528 8589 |8631 8683 || 8734 |8786 |8838 8889 8941 I (2. 8993 |9044 |9096 || 9,148 91.99 || 9251 | 9302 | 9354 |9406 || 94.57 || 1 I3 9509 || 9561 96.12 9664 9715 || 9767 98.19 98.70 |9922 9973 || 2 14 || 925 odz5 oo77 on 28 on 89 oz32 o283 of 35 oz86 of 38 o490 3 IS oš4; oš93 o644 o696 o?48|o]99 |o&51 |ogoz og;4|1666 | * 16 IoS7 | IIo9 II 6o | I212 1264 1315 1367 || 1418 1470 1522 à 17 1573 1625 1676 1728 1780 | 1831 1883 1934 1986 zo.28 7 18 2089 || 2141 2.192 2244 2296 #. 2399 || 2459 || 25oz. 2554 8 I9 2605 || 2657 2708 2760 2811 || 2863 2915 2966 3ox8 || 3669 9 8420 || 925 3121 3172 | 3224 || 3276 || 3327 || 3379 |343o 3482 |3534 |3585 2 I 3637 || 3688 || 3740 || 3791 || 3843 ||3895 || 3946 || 3998 || 4049 |4101 22, 4152 |42O4 |4256 |4307 || 4359 |4410 || 4462 |4513 |4565 |4616 23 4668 |4720 |4771 |4823 |4874|4926|4977|5029 |508o 5132 24. 5184 || 5235 | 5287| 5338 || 5390 || 5441 5493 |5544 5596 || 5648 25 5699 || 5751 || 58oz 5854 5905 || 5957 6oo8 || 6060 6111 || 616 26 62.15 6266 6318 6369 6421 || 6472 6524 || 6575 6627 | 667 27 673o 6781 § 6885 6936 || 6988 || 7039 || 79.91 || 7142 |7|194 28 7245 || 7297 | 7348 || 74oo 7451 || 7503 §: 606 § 709 29 7761 || 7812 7864 |7915 || 7967 8or'8 o 8121 8173 || 8224 8430 || 9258276 |8327 8379 |843o | 8482 |8533 |8585 |8636 8688 8739 31 8791 8842 8894 | 8945 | 8997 || 9048 || 91oo 91.51 | 9203 || 92.54 5l. 32. 9306 |9357 |9409 |9460 9512 § 96.15 9667 ; 97.9 || 1 || 5.1 33 982.1 |9873 992.4 9975 5oz7. Go?8 || 513o 6181 || 62.33 52.84 || 2 || 13.2 34 || 926 og36 |og87 o439 oºgo oš42 oš93 of 45 oë96 of48 of 99 || 3 | "5-3 | 35. o851 |ogoz oQ54 Ioos | loš7 IIo8 11 I2 II | 1263 #. 4 204 ! 36 1366 1417 1469 1520 1572 1623 1675 1726 1778 1829 § 25. 37 188o 1932 1983 || 2035 | 2086 || 2138|| 2189 2241 2292 || 2344 #. : 38. 2395 . 2498 || 25.5o 26or 2653 2704 || 2.755 |2807 |2858 $ 4O. | 39 29ro ||2961 |3on3 |3064 || 3116 |3.167 ||3219 |327o 3322 |3373 || 9 || 35.9 | 84.40 926 3424 3476 3527 | 3579 || 3630 || 3682 || 3733 ||3785 3836 || 3888 - 4 I 3939 || 3990 4042 |4093 4145 || 4196 4248 |4299 |4351 |44oz 42. 4453 |4505 || 4556 4608 4659 |4711 ||4762 || 4814 || 4865 || 4916 43 4968 5ol.9 5oz I 5122 || 5174 || 5225 || 52.77 5328 || 5379 |5431 44 5482 |5534 5585 5637 5688 || 5739 5791 || 5842 5894 || 5945 45 5997 || 6048 6099 || 6151 | 62o.2 || 6254 6305 § 6408 6459 46 6511 || 6562 6614 | 6665 6716 || 6768 6819 6871 6922 6974 4. 7025 || 7076 7128 7179 || 7231 || 7282 7333 || 7385 7436 ſ: 4. 539 759C §: 693 7745 gº: § {..}}|... . . 49 53 8105 8156 8207 8259 83ro 8362 8413 | 8464 8516 8450 | 926 8567 8618 8670 8721 | 8773 || 8824 8875 | 8927 | 8978 9030 N. o || 1 || 2 || 3 TTT's T G T R s is P. P. 84ooo" = 23°20' o' 84oo’= 2°20' o' S. 4.685.4548 T. 8150 841oo = 23 2 1 4o 84 Io = z zo Ic 4545 81 s6 842OO = 23 23 zo 842O = 2 zo zo 4542. 8162. ſ 843oo = 23 25 o 843o = 2 zo 3o 454O 8168 - 844co 23 26 4o 8440 = 2, 20 4C 4537 8173 I 55 * N. | 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || P. P. f 8450 926 8567 |8618 |867o |8721 8773 || 8824 |8875 | 8927 | 8978 9030 51 9081 |9132 |9;84 |9235||9287|9338|9389 |9441 9492 |9543 52 9595 || 9646 9698 || 9749 |98oo ;: 99.03 || 9955 5006 || Coş7 } 53 927 orog ox6o oz II o263 og 14 og66 oé17 of 68 ošzo oš71 | 54 oé22 ; of 25 oT77 o828 o879 og31 |og82 | 1033 Io85 | 53 1136 || 1187 | 1239 || 1290 1342 || 1393 || 1444 | 1.496 1547 | 1598 | 56 1650 | 17or 1752 1804 || 1855 | 1907 || 1958 zoog | 2061 || 2112 n 5 2163 2215 2266 #: 2369| 2420 2471 2523 2574 2625 5 2677 2728 278o |2831 2882 2934 2985 3036 3088 3139 59 3190 3242 3293 || 3344 3396 3447 ||3498 |3550 3601 || 3652 8460 |_927 3704 ||3755 |38o3]3858|3909 |396oj4oza 4063 |41.14|4166 | 61 4217 || 4268 || 4320 :::::::::::::::::::::::::::: 52 ! 62. 473o |4782 |4833 || 4884 |4935 |4987 5038 5989 || 5141 5192 || 1 || 5.2 63 5243 5295 || 5346 || 5397 5449 |55oo 5551 5603 || 5654 5705 2. : 64 5757 5808 || 5859 |591o 5962 |6013 || 6064 6116 || 6167 || 6218 || 3 ||3: 65 §: #: #: 6424 § 6526 |6577 | 6629 | 6686 || 6731 |. 4 : 66 678; 68;4|988;|&#|38||1339|7%|74; 7.93|74) #|: 6 7296 || 7347 | 7398 || 7449 |75or || 7552 || 7603 || 7655 7706 || 7757 6 6 8o3 #: §: º: § ; § § 8219 || 8270 ; : 69 321 |8373 | 8424 |8475 |8526 |8578|8629 |868o 8732 8783 || 9 || 46.8 8470 |_927 8834 |8885 |8937 | 8988 |9039 |9099 |9142 |9193 |9244 |9296 I 347 || 9398 || 9449 |95or 9552 || 9603 || 96.54|9706 || 9757 || 9808 }: § 99.11 || 9962 Con 3 #. 31.16||3167 ||3218 52.70 || 5321 73 928 oz72 of 23 oł75 o526 of 77 of 28 oô8o of 31 o?82 o833 74 o885 o°36 |og87 || 1038 1090 1141 1192 || 1243 1295 || 1346 75 1397 || 1448 || 15oo 1551 | 1602 || 1653 1705 1756 | 1807 #: 76 1909 || 1961 |zoi2 2063 2114 |2166 2217 2268 2319 |2371 77 2422. .# 2524 :::: 2627 2678 2729 || 278o 2832 2883 78 .# |...}|...}}|3: 8 || 3139|| 3190 || 3241 || 3293 || 3344 || 3395 79 3446 3498 || 3549 || 3600 3651 || 3702 || 3754 || 38o3 || 3856 || 3907 8480 928.3959 |40Io |4061 |41.12 || 4163 || 4215 4266 4317 || 4368 |4419 81 4471 || 4522. § 4624 § 4727 4778 || 4829 || 488o 4931 51 82. 4983 |5034 |5085 |5:36 |5187|52.39||5299||5341 5392 || 5443 || | 1 || 5.1 83 5495 |5546 |5597 |5648 || 5699 |5751 |58oz. 5853 || 5904 || 5955 || 2 | 16.2 84 6 6058 6109 || 616o 62.11 || 6263 |6314|| 6365 6416 || 6467 3 15-3 | 85 § 6570 | 6621 |6672 | 6723 |6774 6826 6877 | 6928 6979 4 20.4 86 Toso | 738, 7.33 |7184|7335||7286||7337|7389 |7440 |749; ; #. 8 542 7593 || 7644 |7696 || 7747 || 7798 || 7849 || 7900 || 7951 8o03 8 §. IO §: . §: §. §: 412 | 8463 |8514 #|# 89 8565 8616 |8668 8719 |877o |8821 |8872 8923 8975 |9026 9 || 45.9 8490 || 9289077 |9128 || 9,179 |923o 92.82 | 9333 |9384 |9435 | 9486 |9537 91 9588 49640 9691 9742 9793 |9844 98.95 9946 |9998 || Co49 92 || 929 oroo ) or 51 ozoz oz.53 §. o:56 : 6.458 ošog oš6o 93 o611 o662 o? 14 oT65 o816 o867 |ogr8 og69 Iozo Io/1 94 II 23 #: 1225 | 1276 1327 #. 1429 || 148o | 1532 | 1583 95 1634 1685 1736 1787 | 1838 1889 1941 | 1992 | 2043 ſ 2994 96 2145 || 2.196 |2247 2298 || 235o 24oi 2452 2503 2554 || 2605 97 2656 2707 || 2758 2810 1861 || 2912 2963 || 3ol.4 3065 || 3116 98 3.167 3218 || 3269 3321 || 3372 || 3423 3474 3525 :::: 3627 99 3678 || 3729 |378c 3832 3883 || 3934 3935 | 4036 | 4087 || 4138 8500 929.4.189 |4240 |4291 4343 4394 i 4445 4496 || 4547 4598 || 4649 N. o || 1 || 2 || 3 || 4 || 5 Tg T 7 || 8 || 9 || P. P. 845oo" = 23°28' zo" 845o" = 2°20' 5o" S. 4.685.4534 T. §: - 846oo = 23 3o o 846O = 2, 21 o 4531 8.185 : = 23 31 40 8470 = 2 21 ro 4528 8.191 84 = 2.3 33 2d 848o = z 21 20 452.5 8196 f 849.00 = 23 35 o 8490 = z 21 3o 4522 82O2 O 6 2 4 3 929 41.89 4291 4343 4394 4496 4547 47OO , 52 II 5722. 6233 6743 7254 48oz. 53I3 5824 6335 6845 7356 7866 8377 8887 4853 5364 5875 6286 §. 74O7 7917 84.28 8938 4905 54I5 5926 6437 6947 7458 7969 8479 8989 5oo7 6 55.17 6028 6539 7050 7560 8071 8581 9091 5058 5569 6079 6590 71or 7611 8122 8632 9I42. 929 92.96 9398 9449 95oo 96oz 9653 9806 93o of 16 o826 1336 1847 . 2357 2866 3376 3886 99.08 o418 o928 1438 I949 2.459 2968 3478 3988 9959 O469 o979 1489 2OOO 25 Io 3or 9 3529 4O39 Öolo || 3 o52o IO3O I 54O 2O51 2561 3070 358o 4O90 ÖII2. o622 II 32 1643 2I 53 2663 3172 3682 4.192 Ö163 o673 1183 1694 22O4. 2,713 3223 3733 42.43 93o 4396 4498 4549 46oo 47O2 4753 4906 54I5 5925 6434 6944 7453 5008 5517 6027 6536 7046 7555 8064 8574 9083 505 556 6078 6587 7097 7606 8115 86.25 9134 5IIo 5619 6129 6638 7.148 7657 3166 8676 91.85 52 II 5721 6231 6740 7.25o 7759 8268 8777 9.287 5262 5772 6282 6791 73oo 781o 8319 8828 || 9338 93o 9490 9592 9643 9694 9796 9847 99.99 931 ošo8 Ior 7 1526 2O35 2544 3053 3562 4O70 5IoI o6Io III9 1628 2137 2646 3155 3663 4172 Ö152 o661 117o 1679 2.188 2697 32O5 3714 4223 ô203 o/12 I22. 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P. 855oo" - 23°45' of 855o’= 2°22' 30° S. 4,685 4505 T. 8237 - 856,oo = 23 46 4o §: = 2 22 4o 45O2 82.43 §: = 23 48 zo 8570 = 2, 22 50 4499 82.49 85 = 2.3 5o o 858o = 2, 23 o 4496 8255 8590o = 23 51 40 8590 = 2 23 Io 44.93 826o N. o || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 P. 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P. 86000"= 23°53' zo” 8600"- 2°23'20" S. 4.685 : T. 8266 861OO = 23 55 o 861O = 2 23 30 44ö7 82.72. 862oo = 23 56 4o 862o = 2 23 4o 4484 8278 863oo = 23 58 zo 863o = z 23 50 4482 8284 864co = 24 o o 8640 = 2 24 o 4479 8290 159 6 N. 0 1 || 2 || 3 || 4 || 5 7 | 9 | 8650 | 937 or 61 loz11 oz61 ox12 o262 |oq12 |oq62 oš13 |oš63 of 13 I o663 of 13 of 64 o814 o864 jogi 4 ogó4 || IoI5 Io95 || III.5 # : 1215 1265 | 1316 || 1366 1416 || 1466 1516 1567 | 1617 53 1667 1717 | 1767 | 1818 1868 1918 1968|zor 8 || 2069 |z119 54 2169 |2219 |z269 || 2319|2370 2420 |247o ||25zo 2570 2621 5 2671 2721 2771 #: 2871 I-2922 || 2.972 3022 |3072 3122 5 3172 || 3223 32.73 || 3323 || 3373 ||3423 ||3474 || 3524 |3574 || 3624 5 3674 || 3724 |3775 || 3825 |3875 |3925 |3975 |4025 |4075 |4x26 58 4176 || 4226 # :::: 4376 |4427 || 4477 || 4527 |4577 || 4627 59 4677 |4728.4778||4828,4878||4928|4978||5oz8||5079 |5:29 8660 | 937 5179 || 52.29 || 5279 |5329 |538o |543o |548o 553o |558o |563o 61 68o ºn 21 | < 781 || 5831 | <881 1 || 5981 || 6031 || 6082 6132 50 62 §: §: #: §: #: §: § § 6583 6633 I 5.o 63 6683 || 6733 || 6783 | 6834 || 6884 |6934 || 6984 7034 7084 || 7134 || 2 : : | #|##|##|##|##|##|##|##|###| ||. 5 3 66 8187 § § 337 § § 8488 853 : 8638 #|: § 8688 8738 8788 |8838 8888 || 8939 |8989 |9039 |9089 9x39 || 7 ||35.o 6 9189 |9239|9289 |9339|9389 |944o |9490 |954o 9599 |9649 || 8 |4oo 69 9690 | 97.40 9790 98.40 3890 |994.1 |9991 Co41 ||Gogi 3141 || 9 || 45.o 86.70 || 938 or 91 oz.41 ozºr ox41 ox91 o441 oºga oš42 oš92 of 42 71 o692 of42 |o"g2 oë42 o892 Io942 |ogg2 | 1042 | Io93 || 1143 72 II93 || 1243 || I293 #: # 1443 || 1493 || 1543 | 1593 | 1643 73 1693 || 1744 || 1794 | I I I944 || 1994 | 2044 || 2:094 || 2 I44 74 2194 2244 22.94 *::: 2394 || 2445 2495 || 2545 2595 || 2645 75 2695 2745 || 2795 || 2845 |2895 || 2945 2995 || 3o45 3095 || 3145 76 3.195 || 3245 |3296 || 3346 || 3396 || 3446 |3496 || 3546 |3596 || 3646 7 3696 |3746||3796||3846||3896 |3946 |3996 |4046 |4096 |4146 7 41.96 || 4247 |4297 :#; 4397 |4447 4497 |4547 |4597 || 4647 79 4697 4747 |4797 || 4847 || 4897 || 4947 4997 || 5047 5097 || 5147 8680 || 938.5197 || 5247 || 5297 || 5347 5397 || 5447 5497 |5547 |5598 || 5648 81 698 || 5748 5848 5898 || 5948 6048 || 6098 || 6148 49 82. §: #: #: §: § §: §: 6548 : 6648 I 4. 83 6698 |6748 |6798 || 6848|6898 |6948 |6998 || 7048 |7098 || 7148 || 2 || 3. 8 198 || 72.48 || 7298 || 7348 || 7398 || 7448 || 7498 || 7548 || 7598 || 7648 || 3 |*4.7 : }; #: §: i 8 #: }: %; §: §: §: 4 || 19.6 86 8198 8248 8298 || 8348 8398 || 8448 8498 || 8548 || 8598 || 8648 # #: 8 8698 |8748 |8798 |8848 || 88.93|8948 |8998 || 9048 || 9098 || 91.48 7 34.3 8 9198 || 92.48 || 9298 :::: §: 9443 |9498|9548 |9593 |964; 8 || 39.7 89 96.98 9748 || 97.98 |9848 9898|9948 || 9998 || 5048 | Gré8 || 9 || 44.1 8690 | 939 or 98 oz48 ozg8 ox48 || 0:38|oq48 oã98 oš48 oš98 || obº 91 o697 of47 of 97 oë47 o897 jog47 ogg7 || 1047 | Io97 || 1147 92 I 197 | 1247 | 1297 1347 #|...}|...}|...}|: 1647 93 1697 |1747|1797|1847|1897|1947|1997 |zołó|2006|z146 94 2.196 |z246 2296 || 2346 : 2446 2496 || 2546 2596 || 2646 95 2696 2746 2796 : 2896 || 2946 2996 || 3o45 3095 || 3145 96 3.195 |3245 3295 || 3345 3395 |3445 |3495 || 3545 |3595 || 3645 % ; :::: #: : 3894 || 3944 3994 | 4044 : #: 4 || 42.44 42.94. 4394 || 4444 || 4494 4544 4593 4 99 4693 || 4743 |4793 : 4893 i 4943 || 4993 5043 5093 5143 8700 939 51.93 |s” |s” 5342 5392 || 5442 5492 || 5542 5592 || 5642 N. 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || P. P. 36500"- 24° 1' 40" 865o’= z*zá' Io’ 8.4.6854476 T.8296 ::= 4 ; : := . . . :::: : = O 70 = 2 24 30 447O 307 §. = 24 6 4o 868o = 2.24 40 :; 8313 86900 = 24 3 2d 8690 = 2 24 50 4464 3319 16o N. Tº 1 || 2 || 3 || 4 || 5 || 5 || 7 || 8 || 9 || P. 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P. 9550 | 98ooo;4 | coſº | or 25 or 70 oz.16|o261 |ogo7 ox52 og08 of 43 51 o488 oš34 oš79 o625 o67o of 16 || 0761 o807 o852 o898 52. og43 |og89 Io94 || IoSo | I 125 || 1 17o 1216 || 1261 | 1307 || 1352 53 1398 || 1443 || 1489 : 1534 || 158o 1625 1671 1716 1761 #. 54 1852 | 1898 || 1943 1989 2034 || 208o 2125 |z171 2216 2261 55 2307 # 2398 || 2443 2489 2534 258o 2625 2671 || 2716 56 2761 2807 || 2852 |2898 || 2943 || 2989 || 3034 308o 3125 317o 5 3216 || 3261 || 3307 || 3352 || 3398 |3443 ||3489 |3534 || 3579 || 3625 5 3670 || 3716 || 3761 || 3897 || 3852 3897 3943 || 3988 |4034 || 4079 59 4125 || 417o || 4215 |4261 || 4306 |4352 |4397 |4443 |4488 |4533 9560 | 98o 4579 || 4624 |4670 |4715 4761 || 4806 || 4851 |4897 4942 4988 61 5033 |5079 || 5124 || 5169 52.15 |526o 5306 || 5351 || 5397 || 5442 46 62. 5487 |5533 |5578 5624 5669 |5714 |576o 5805 || 5851 |5896 || 1 || 4.6 63 5942 5987 6032 |6078 6123 || 6169 || 6214 || 6259 || 6305 635o 2 9.2 64 6396 || 6441 |6486 || 6532 6577 | 6623 | 6668 || 6714 |6759 | 6804 3 13.8 65 6850 | 6895 || 6941 §: 7031 || 7077 || 7122 || 7168 || 7213 | 7258 4. : 66 7364 |7343||7335||744o |7435||753i |7576||7622 |7667|77|2| # #: 67 7758 |78o3 |7849 |7894 |7939|7985|8o30 |8075 | 8121 |8166 || 7 ||3%. 68 8212 || 82.57 |83oz | 8348 || 8393 || 8439 || 8484 || 8529 || 8575 |8620 8 #: 69 8666 |8711 || 8756 |88oz. |8847 |8892 | 8938|8983 |9029 |9074 || 9 || 41.4 95.70 || 98o 9119 || 9,165 |921o 9256 || 9301 || 9346 || 9392 |9437 9482 |9528 71 9573 9619 || 9664 |9799 || 9755 |98oo |9845 |9891 9936 |9982 72 981 ooz7 |oo72 |ol 18 or 63 ozo& oz54 oz.99 || 0344 of 90 o435 73 oq81 |os26 oš71 o617 || 0662 o?o'ſ o?53 of 98 o844 o889 74 o934 o98o Io25 || IoTo 1116 || 1161 | 1206 || 1252 1297 || 1342 7 138 # 1479 || 1524 1569 || 1615 1660 1705 || 1751 || 1796 7 1841 | 1887 1932 | 1977 2023 2068 2113 2159 2204 |225o 77 2295 || 234o 2386 || 2431 || 2476 || 2522 || 2567 || 2612 || 2658 2703 78 2748 || 2794 2839 2884 2930 |2975 |362o 3066 || 3111 || 31.56 79 3202 || 3247 || 3292 || 3338 || 3383 ||3428 |3474 |3519 |3564 || 3610 9580 || 981 3655 |37oo |3746 || 3791 || 3836 || 3882 || 3927 | 3972 |4018 4063 81 4108 || 4154 || 4199 || 4244 4290 |4335 | 438o 4426 |4471 |4516 45 82 4562 || 4607 || 4652 4698 || 4743 || 4788 || 4834 || 4879 |4924 |4970 I 4.5 83 sors 5060 || 5106 |5151 |5196|5241 |5287|5332 |5377|5423 || 2 || 33 84 5468 5513 || 5559 || 5604 || 5649 || 5695 || 5740 5785 §: 5876 3 I3.5 85 5921 5966 6or 2 6057 | 6102 || 6148 61.93 || 6238 6284 6329 4 18 o 86 6374 6420 6465 || 65|Io 6555 | 6601 | 6646 | 6691 6737 || 67.82 5 22.5 6 27.o 8 6827 | 6873 |6918|6963 |7998 |7954|7299||1144||7-99 || 7235 | 7 ||3: ; 8 7280 | 7326||737; 74;6||7461 |7597 || 7552 1597 ||643 1688 || 8 |36.3 89 7733 || 7778|7824|7869 |7914|7960|8oos. 8050 |8095 |8141 || 9 |#3; 9590 981 8186 8231 8277 8322 8367 | 8412 | 8458 8503 || 8548 8594 91 8639 |8684 8729 8775 8820 | 8865 | 8911 | 8956 9001 || 9046 92. 9092 || 9,137 91.82 9228 9273 || 93.18 § 94O9 9454 9499 93 9544 |9590 |9635 | 968o 97.26 || 9771 || 9816 |9861 |9907 9952 94 9997 || 5042 || 5088 || 5133 || 5178; 5223 5269 |Ö314 || 5359 |S405 95 || 982 o45o o495 oš4o oš86 o631 o676 o?21 of 67 o812 o857 96 o902 || 0948 || Og23 || Io98 1083 || 1129 1174 | 1219 || 1264 1310 97 1355 || 14oo 1445 || 1491 || 1536 || 1581 | 1626 1672 1717 | 1762 98 1807 1853 1898 || 1943 1988 || 2034 2079 2124 |2169 2215 99 226o 2305 || 235o 2396 || 2441 2486 || 2531 || 2577 2622 2667 9600 || 982 2.712 || 2758 || 28o3 2848 2893 2939 2984 |3029 3074 || 3119 N. | 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || P. P 955co’= 26°31' 40" 955o" = 2°39'10" S. 4.685 4197 T. 8853 956OO = 26 33 zo 9560 = 2 39 20 4I 94 886d 95700 = 26 35 o 9570 = 2 39 30 4190 8867 958o0 = 26 36 4o 958o = 2 39 4o 4.187 8873 959Co = 26 38 zo 9590 = 2 39 5o 4.184 888o 178 N. O 1 2 3 4 5 6 7 8 9 P. 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P. 96coo”= 26°40' of 9600°– 2°40' o' S. 4.685.4181 T. 8886 961oo = 26 41 4o 9610 = 2 4o Io 4.177 8893 962oo = 26 43 zo 962o = 2 4o zo 4174 889 96300 = 26 45 o 963o = 2 4o 3o 4171 ; 964.00 = 26 46 4o 9640 = 2, 4o 4o 4168 8912 N. 0 1 || 2 || 8 || 4 || 5 || 6 7 || 8 || 9 P. 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Lºo T1 T2 Ta T4 || 5 || 6 || 7 || 8 || 9 || P. P. 98ooo"= 27° 13' zo” 98oo’= 2°43' zo" S. 4.685 4115 T. 9or 8 9810o = 27 15 o 9810 = 2 43 3o 4III 9025 982 oo = 27 16 4o 982O = 2 43 4o 4108 9.032 983oo = 27 18 zo 983o = 2 43 5o 4105 9038 984co = 27 zo o 9840 = 2 44 o 4 IOI 9045 N. O TT T.T.T.T.T. 8 || 9 P. P. 9850 || 993 4362 4406 || 4450 4495 || 4539 || 4583 || 4627 4671 |4715 4759 51 48o3 || 4847 || 4891 || 4935 | 4980 || 5oz.4 |5068||5112 || 51.56 || 52Oo 53 5244 || 5288 || 5332 || 5376 5420 || 5464 || 5509 || 5553 || $597 §: 53 5685 5729 5773 || 5817 5861 || 5905 5949 5993 6037 || 6082 54 6126 617o 6214 || 6258 63oz | 6346 ; 6434 || 6478 || 6522 55 6566 | 6610 | 6654 |6698 |6743 6787 6831 | 6875 6919 6963 56 7oo7 7o;1 || 7095 || 7139 || 7.183 || 7227 | 7271 | 7315 | 7359 || 74O4 5 7448 || 7492 || 753& 758o ſ: 7668 7712. § 8oo *::: 5 888 7932 § 20 | 8064; 8108 || 8152 | 8197 82.41 8285 59 329 |8373 | 8417 | 8461 || 8505 |8549 |8593 8637 8681 |8725 9860 || 993 8769 || 8813 || 8857 | 8901 | 8945 |8989 9033 9077 91zz 9166 61 9210 | 92.54|9298 || 9342 |9386 |943o 9474 9518 9562 9606 44 62. 965o 9694 || 9738 |9782 §: 9870 |9914 |9958 || Gooz : I | 4. 63 994 oogo or 34 on 78 oz22 oz66 of Io of 55 ox39 loº 7 1 8. 64 2531 ||2373 |2619 |9663 ||3707 |9751 |9795 |2839|8883|9927 | 3 ||3: 65 oq71 Ion 5 || 1039 || 1 103 #; 1191 || 1235 | 1279 || 1323 || 1367 4 #: 66 1411 || 1455 || 1499 || 1543 | 1587 | 1631 1675 1719 1763 # # 26 6 1851 1895 1939 || 1983 zoz7 |zo'71 || 2115 2159 2203 || 2.247 § : - 6 2291 2335 || 2379 :::: : 251 1 || 2555 || 2599 || 2643 268 35-3 | 69 2731 || 2775 || 28zo 2864 2908 || 2952 2996 || 3o40 3084 || 312 9 || 396 98.70 || 994 31.72 | 3216 || 326o || 33o4 || 3348 || 3392 || 3436 || 348o 3524 |3568 71 3612 3656 |37co 3744 |3788|3831 || 3875 3919 3963 |4oo7 72 4051 4095 || 4139 || 41.83 || 4227 || 4271 4315 4359 : :#; 73 4491 || 4535 || 4579 || 4623 |4667|47; 1 |4755 4799 || 4843 || 4887 74 4931 || 4975 5ong 5063 || 5107 || 5151 || 5195 5239 || 5183 || 5327 7 5371 5415 || 5459 || 5503 || 5547 §: 635 §: 723 iſ: 7 5811 || 5855 5899 || 5943 5987 1 |6015 6119 || 6163 62on 7 6251 6295 || 6338 6382 6426 || 6470 || 6514 || 6558 | 6602 | 6646 7 6690 || 6734 6778 | 6822 | 6866 || 6910 6954 6998 2. 7086 79 7130 7174 || 7218 || 7262 | 7306 || 735o | 7394 || 7438 7482 || 7525 9880 || 994 7569 || 76x3 || 7657 77or 7745 || 7789 || 7833 7877 7921 || 7965 81 8053 8097 8141 81.85 |8229 || 8273 8317 | 8361 | 8405 - 82 8 8492 8536 858o |8624 |8668 8712 3756 #. 884.4 I : 83 8888 || 8932 8976 9ozo 9064 || 9,108 91.52 91.96 || 92.39 92.83 2 | 8. 84 9327 | 9371 94.15 9459 |9503 || 9547 9591 |9635 3:1; 9723 3 || 12.9 8 97.67 981 I 98.55 : 9942 9986 &ogo 4 6118 6162 4 || 17.2 86 || 995 ozoö oz.5o oz84 of 38 of 82 || 6426 ot?o oš14 oš57 oëor i : 2. S. 8 o645 ob89 of 33 o?77 o821 |o&65 . og53 oç97 || Ioq I : io95 || 1 128 1172 | 1216 || 1260 || 1304 13 1392 #: 148o ; : 89 1524 1568 | 1612 | 1656 1699 || 1743 1787 1831 1875 1919 9 38.7 9890 || 995 1963 |zoo? |zo;1 |zoº.5 |z139| 2182 2226 22.70 || 1314|| 1358 9r 2402 :::: 2490 2534 2578 || 2622 2665 2709 || 2753 2797 9a : .#|...}|...}}|. 3061 || 3104 || 3148 || 3192 || 32.36 93 32.80 || 3324 3368 3412 3456 |35oo 3543 || 3587 || 3631 || 3675 94 3719 || 3763 3 3851 3895 || 3939 3982 || 4ozó | 4079 |41.14 # 4:58 42O2 : 429O 4334 :#; 4421 4465 : 4553 4597 || 4641 |4685 |4729 |4772 || 4816 || 4860 |4904 || 4948 |4992. 5036 |5089 || 5123 5167 5211 || 52.55 5299 || 5343 5387 5431 % 5474 || 55.18 §: 5606 || 5650 |5694 || 5738 5782 #: # 99 5913 || 5957 I 6045 6089 || 6133 6176 6220 | 6264 9900 || 995 635* | 6396 |644c 6484 || 6527 ||657, 6615 6659 |6703 || 6747 N. 0 || 1 || TTTTTTTTTETF. F. *:::: 17° ar' 4o" 3. o” – a 44' Io" S. 4-685 4098 T. *::: = 17 as ac 956,o m 2 44 zo 4095 987.00 = 27 as o = 2, 44 3o : 988oo = 37 40 9 = 2, 44 40 9072 98.90o = 27 as zo 98.99 = a 44 5o 4084 9079 184 - = -- N. O 1 2 3 4 5 6 7 8 9 P. P. 9900 || 995 6352 |6396 |644o 6484 || 6527 6571 ||6615 | 6659 |6703 || 6747 Ot 6791 6834 |6878 6922 6966||7oro 7054 7098 #. 7185 Ot 7229 || 7273 7317 | 7361 7405 || 7449 || 7492 |7536 § §: o: 7668 7712 7755 7799 || 7843 |7887 | 7331 || 7975 $619 |806. O4 $106 |$150 |819.4|8238 8282 8326|8369 | 8413 | 8457 | 8501 3. 8545 §§ 8632 |8676 8720 8764 § 8852 |8896 ...}} 8983 |9027 | 9071 |9115||9159 |9202 |9246|9299| 9334|937 3. 93% 94.65 |9592 |9553|2597 |964. |9685 |9728|9772 |9816 9869 |9904 || 9948 |9991 || 5035 |& 79 || 5123 6167 | à254 / oº 996 oz.98 |oj42 6386|643o |oq74|osiº oš61 oôoš o649 oéjà 9910 || 996 oz.37 o?8o o824 o868 |ogrz o);6|og99 || Io;3| 1087 |1131 II 1175 1219 || 1262 | 1306 # 1394 || 1438 1481 | 1525 | 1569 44 I2. 1613 | 1657 || 17or 1744 1788 || 1832 1876 1920 1963 |2607 I 4-4 13. 2051 2095 || 2:139| 2182 |2226|2270 2314|| 2358|2402 || 2445 2 | 8.8 14 2489 || 2533 || 2577 2621 2664|2708 2752 2796 || 2840 2883 3 #: I 2927 2971 3015 3059 |3102 || 3146 || 3199 || 3234 3278 3321 4. #: I 33% |*|34;3|357|5542|##|36.8 |36%|37;6|#9| |: I 38o3 ||3847 ||3891 || 3935 | 3978 |4022 |4066 |41.10 || 4153 |4197 || 7 || 30.8 I 424; 4285 |4329 |4372 |44.16|4460 |4504 |4548 |4591 |4635 | 8 |35.2 19 4679 |4723 4766 || 4810 || 4854|4898 || 4942 4985 5029 |5073 || 9 || 39.6 9920 996 5117 |5161 5204 || 5248 |5292 || 5336 5379 |5423 || 5467 |5511 2I 5554 5598 || 5642 5686 || 5730 5773 || 5817 5861 5905 || 5948 • 22, 5992 || 6036 |608o 6124 6167 || 62.11 6255 62oq | 6342 6386 23 643o 6474 || 65.17 || 6561 | 6605 ||6649 |6693 673o 6780 6824 34 6868 6911 6955 6999 || 7043 |7086 7130 7174 | 7218 || 7261 # 7305 || 7349 || 7393 || 7436 7480 || 7524 || 7568 || 7611 7655 § 7743 |7786 7836 || 7874 || 7918|7961 |8005 |8049 |8093 8136 2. 8182 | 8224 8268 || 8311 |8355 |8399 |8443 | 8486 || 8530 8574 2. 86.18 8661 8705 || 8749 8793 |8836 8883 | 8924 | 8968|961i 29 9055 |9099 || 9,143 || 9,186 923o 9274 |9318|9361 |9405 || 9449 9930 || 996 9492 |9536 958o 96.24 |9667 |9711 |9755 |9799 |9842 |9886 31 993o 9974 || Cor" | Soó1 6105 || 3148 || 5192 || 32.36 || 328o 5323 43 32 || 997 og67 |oºr; of 55 ot}}|oš42 los36 of 29 c673 o?17 o?61 || 1 || 4:3 33 o804 o848 o892 og 36 og/9 || Ioz3 || Io97 IIIo 1154 1198 2 | 8.6 1242 | 1285 1329 || 1373 1416 || 1460 | 1504 1548 1591 | 1635 3 I2.9 ;: 1679 1722 || 1766 | 1810 | 1854 || 1897 1941 1985 2028 2072 4 I7.2 3. 2116 || 216o 2203 ||2247 2291 || 2334 || 2378 || 2422 2465 2509 § .# 3 2553 || 2597 2640 |2684 2728 2771 2815|2859 |2903 |2946 || 7 || 36.1 3 2999 || 3034 3077 || 3121 3165 || 3208 §§ 3296 || 3349 |3383 || 8 || 34.4 39 3427 ||3471 |3514|3558 3602 |3645 |3689| 3733 ||3776||3820 || 9 || 33.7 99.40 997 3864 || 3908 || 3951 || 3995 |4039 || 4082 4126 41.70 |4213 || 42.57 41 43ol. 4344 4388 |4432 4475 |4519 |4563 |46O7 §: 4694 42. 4738 478 I 4825 4869 || 4912 || 4956 5ooo 5043 5087 || 5131 43 5174 || 5218 5262 53oš 5349 |5393 || 5436 5486 || 5524 || 5567 5611 || 5655 5699 || 5742 5786 || 5830 5873 || 5917 5961 || 6oo4 : 6048 || 6092 6135 | 6.179 6223 §§§ 6310 || 6354 6397 || 6441 4. 6485 6528 6572 | 6616 | 6659 || 6703 || 6747 6790 | 6834 || 6878 4. 6921 | 6965 7oo9 || 7052 7096 || 7139 || 7.183 || 7227 | 72.70 || 7314 4. 7358 74OI | 7445 || 7489 |7532 || 7576 || 762o 7663 7707 || 7751 49 7794 || 7838 |7882 || 7925 || 7969 |8013 || 8056 |81oo 8144|8187 9950 || 997 8231 8274 8318 8362 | 8405 | 8449 || 8493 *** 8624 N. o || 1 || 2 Ta TAT, T G T 7 Tis T G T P. F. 990oo" = 27°30' o' 9900" – 2°45 o' S. 4.685.4081 T.9085 99 IOO = 27 31 40 99.IO = 2 45 Io 4O78 9092 992OO = 27 33 zo 992O = 2 45 20 ;: . 993OO = 27 35 o 993O = 2 45 30 I 91 994.00 = 27 36 4o 994D = 2 45 4o 4of 8 911z = -º-º: N. O 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || P. P. 9950 || 997 8231 || 8274 || 8318|8362 | 8405 |8449 |8493 || 8536 |858o 8624 51 8667 |8711 |8755 |8798 |8842 8885 |8929 |8973 || 9016 || 9066 52. 9Ioq | 9147 |9191 |9235 |9278|9322 |9365 |94O9 |9453 |9496 53 9540 || 9584 |9627 |9671 9715 97.58|98oz. 9845 9889 |9933 4. 9976 Gozo | Co64 || 5107 || 5151 || 51.95 || 5238 5282 6325 3369 ;: 998 odiº |oq56 ošoo oš44 oš87 joð31 || 0674 o?18 of 62 ošos 56 o849 o893 |og36 og8o 1023 Toč7 || 1111 || 1154 || 1198 || 1241 57 1285 || 1329 || 1372 || 1416 || 1460 | 1503 || 1547 | 1590 | 1634 || 1678 58 1721 1765 | 1808 || 1852 | 1896 || 1939 || 1983 2026 2079 || 2114 59 2157 |zzor 22.45 |z288 || 2332 ||2375 | 2419 |2463 |2506 || 25.5o 9960 || 998 2593 2637 2681 |2724 || 2768|2811 || 2855 |2899 || 2942 2986; 61 3029 || 3073 || 3117 | 316o |3204 || 3247|3291 || 3335 | 3378 || 3422 44 62 3465 |3509 #3 3596 || 3640 || 3683 ||3727 ||3771 |3814 || 3858 || 1 # 63 3901 || 3945 3988|4032 |4076 || 4119 |4163 |4206 || 42.5o 4294 || 2 | 8. 64 $337 |##|44;4|44%|4:4::14:22|44;|*|†:2| #|#: 65 $1.3 |#7|4%|49.4|+}}|{}}|##|##|##|#| ||#. 66 5269 |5252 |5296 |5340 |5383 |5427|5479 |5514|5557|56or | #|. 6 5645 || 5688 || 5732 || 5775 |5819 || 5862 5906 || 595o || 5993 || 6037 3o. 6 608o 6124 É 62.11 || 62.55 |6298 || 6342 |6385 6429 6472 % 35.3 69 6516 || 6560 | 6603 ||6647 | 6690 || 6734 6777 | 6821 | 6864 || 6908 9 39.6 9970 || 998.6952 |6995 |7039 || 7082 || 7126||7169 || 7213 || 7256 |73oo | 7344 I 7387 || 7431 || 7474 7518 7561 || 7605 || 7648 7692 || 7736 || 7779 }: § 866 || 7910 || 7953 7997 || 8040 8084 || 8128 §: 215 73 258 |83oz 8345 8389 || 8432 | 8476 |8519 || 8563 |8607 || 865o 74 8694 |8737 |8781 8824|8868|8911 |8955 |8998 || 9042 |9086 75 9129 || 9,173 || 92.16|926o |9303 || 9347 | 9399 |9434 |9477 |952I 76 9564 |96c8 |9651 |9695 97.39||9782 |9826 |9869 || 9913 |9956 7 999 oooo Oo33 |oo87 or 3o or 74|o217 | or 61 ozoá og48 og91 7 o435 o479 oš22 oš66 oôoº o653 oô96 of 40 § 27 79 o87o jogiq |og37 || Ioor Io44 || 1088 || 1131 || 1175 1218 1262 99.80 || 999 1305 || 1349 || 1392 || 1436 || 1479 || 1523 || 1567 | 1610 | 1654 || 1697 81 1741 || 1784 1828 1871 1915 1958 zooz 2045 2089 2132 43 32 2176 2219 |2263 || 2306 || 2350 # 2437 || 248o || 2524 || 2567 I 4. 83 2611 |2654 |2698 || 2741 2785 2828 2872 2915 2959 || 3ooz 2 || 8. 84 3o46 || 3389 || 3133 || 3176|| 3220 || 3263 || 3307 || 335o || 3394 | 3437 || 3 |**.9 8 ; 3524 |3568 || 3611 || 3655 ; 3742 || 3785 |3829 || 3872 || 4 || 17.2 3 39.6 |39;9|4003 |4046|4%|433 4.77|3:29]3264|4307| #3 37 435o |4394|4437 |4481 |4524|4568|46II |4655 |4698|4742 3O.I 88 4785 |4829 |4872 || 4916 4959 || 5003 |5046 |5096 # 5.177 % 34-4 89 52ao |52645307||535, 5394.5438||5481 |5524,5568||56ii. 9 |3; 9990 || 9995655 5698 || 5742 |5785 |5829 |5872 5916 |5959 |6003 || 6046 91 6133 ||6177 | 6220 |6263 |6307 || 635o |6394 |6437 6481 92. 6524 § 6611 | 6655 |6698 # 6785 | 6828 |6872 | 6915 93 6959 || 7002 || 7046||7089 |7133 || 7176 || 7226 || 7263 | 7307 || 7350 94 7393 || 7437 || 748o || 7524 || 7567 || 7611 || 7654 |7698 || 1741 || 7785 % #; 7571 §: 7958 § 8045 |8089 §: 176 § 8262 | 8306 || 8349 |8393 | 8436|8430 8523 8567 86io || 8653 97. 8697 || 8740 |8784 |8827 |8871 |8914 | 8958|90or 9044 |9088 98 9131 |9175 |9218 |9262 |9305 || 9349 |9392 |9435 |9479 |9522 99 9566 9609 |9653 |9696 || 97.39|| 9783 ||3826 9876 || 9913 9957 10000 || ooooooo looq3 |oo87 |or3olor?4 joz 17|oz61 |ogo4 |o;47 ox91 N. 0 | 1 || 2 | 8 || 4 || 5 || 6 || 7 || 8 || 9 || P: Pº 995oo"= 27°38'20" 995o"— 2°45 5o" S. 4.685.4064. T. 91.19 9960o = 27 4o o 9960 = 2 46 o 3: 3. OO = 27 41 4o 9970 = 2 46 Io 4057 91.33 998oo = 27 43 zo 998o = 2 46 20 4054 9149 99900 = 27 45 o 9999 = 2 46 30 4051 9146 Table for converting natural Logarithms into common Log". Table for converting common Log". into natural Log". O.OOO OOOO 5o O.434 2945 5 I o,868 5890 52 1.302 8834 53 1.737 1779 54 2.17 I 4724 55 2.605 7669 56 3.040 of 14 57 3.474 3559 || 58 _3.908 6503 || 59 4.342 9448 || 6o 4.777 2393 61 5.2 II #: 62 5.645 8283 63 6.08o 1227 64 6.514 4172 65 6.948 7117 66 7.383 ooã2 67 7.817 3007 68 8.251 5952 69 8.685 8896 7o 9. I2O 1841 71 9.554 4786 72 9.988 7731 | 73 Io.423 of 76 74 Io.857 362o 75 I 1.291 6565 76 I 1.725 95 Io 7 12.16o 2455 7 I 2.594 54OO 79 13.028 8345 8o 13 463 I 289 81 13.897 4234 82 I4.33 I 7179 83 14.766 or 24 84 15.2Oo 3of 9 85 15.634 6oić 86 16.068 8958 87 16.503 1903 88 16.937 4848_| 89 I 7.37 I 7793 90 17,806 of 38 9I 18.240 3682 92 18.674 6627 93 19. Io9 9572 | 94 I9.543 2517 95 19.977 5462 96 20.411 84O6 97 20.846 1351 98 21.28o 4296 99 2.I.7 I4. 7241 || Too Base of the common Logarithms Base of the natural Logarithms (8) Log, nat. Io. . . . 21.714 724 o 22.149 on 86 I 22.583 3131 2. 23.oi 7 6075 3 23.45 I 9ozo 4. 23.886 1965 5 24.32O 49 IO 6 24.754 7855 7 25.189 ošoo 8 25.623 3744 9 26.057 6689 YO 26.491 9634 II 26.926 2.579 I2. 27.360 5524 || 13 ... 8468 I4. 28.229 I413 I5 28.663 4358 16 29.097 7303 I 29.532 o248 I 29.966 3193 || 19 30.4CO 6137 2O 30.834 9082 2. I 31.269 zoz7 2.2. 3I.7O3 4972 23 32. I37 § 24 32.572 oš61 25 33.006 3806 26 33.440 6751 || 2 33.874 9696 || 2 _34.309. 2641 || 29 34,743 5586 || 30 35.177 853o || 31 35,612 1475 || 32 36.046 4420 33 36.48o 7365 || 34 36.915 ogio || 35 37-349 3254 36 37.783 6199 || 3 38.217 9144 || 3 38.652. 2089 39 39.086 5034 || 4o 39.52O 7979 4 I 39.955 O923 42 40.389 3868 || 43 40.823 6813 44 41.257 9758 I 45 41.692, 2703 46 42.126 5647 || 47 42,560 8592 48 42.995 I 537 49 43.429 4482 || 50 O.OOO OOOO 50 2.302 5851 5 I 4.605 1702 52 6.907 7553 53. 9.2 IC 3404 54 II.5.12 9255 55 13.815 5106 56 16.118 og57 57 1842d 68o 58 20.723 265 59 23.025 8509 6o 25.328 4360 61 27.631 oz.11 62 29.933 6062 63 32.236 1913 64 ##: 7764 65 36.841 3615 66 39.143 94.66 || 67 41.446 5317 | 68 43.749 1168 69 46.051 7on 9 7o 48.354. 2870 71 50.656 8720 72 52.959 4571 73 55.262 o!22 74 57.564 6273 || 7 59.867 2124 || 7 62.169 7975 77 ::::: 3826 78 66.774 9677 79 69.077 5528 8O 71.38o 1379 81 #: 7230 82. 75.985 3081 83 !. ; : .590 47 5 §: § 86 85.195 6484 87 87.498 2335 | 88 89.8oo 8186 89 92.IO3 4037 90 94.405 9888 9I 96.708 5739 || 92 99.011 I590 93 IOI.313 7441 94 Iog.blo 3292 95 Ioš.918 9143 96 Io9.221 4994 97 IIo.524 o?45 98 112.826 6696 || 99 II.5.129 2546 || Ioo E (O.C.C.O COOO = 2.718.2818 • , = 2-3025851 | ºmºmºsºmºsº, II.5.129 2546 II.7.431 § II9.734 424 122.037 cog.9 I24.33 G :::::: #. 128.944 7652 I31.247 3503 I33.549 9354 I35.852 5205 138.155 IoS6 140.457 6907 142.760 2758 145,062 8609 147.365 4460 I49.668 of Io 151,970 6161 I54.273 2012 156.575 7863 158.878 3714 161.180 9565 163483 5416 165.786 1267 168.088 7.118 170.391 296 # ; 174.996 4671 I77.299 oš22 #. 6373 Iö1.904 2223 186. 2. #: ; 191.114 5627 1934.17 1478 I95.719 7329 193.02.2 318O 200.324 9031 zoz.627 4882 2O4.93o OT33 2O7.232 6584 209.535 §§ 211,837 8286 214,140 41.36 216442 ??; 218.745 5838 221.048 1689 223.35o 7540 225.053 3391 227.955 9242. 230.258 5093 *=s**E=== 184-206 8074 || *=sºmºmºmºsºms- Log, vulg. 2.718 1818 • . = O.434 1945 © . II. LOGARITHMS OF THE SINES AND TANGENTS FROM SECOND TO SECOND. é 188 Sin O9 A/ º - 1’ y 3’ 4’ 5’ PO O sºmº 6.463 7261 || 6.7647561 || 6.940 8473 || 7.065 786c 7.1626960 || 60 I 4.685 5749 || 6470 9047 | 6.76836O2 6,943 2534 7.067 5918 7.164 1412 || 5 2 || 4.986 6049 || 6.477 9665 6.771 9347 || 6.945 6462 || 7.069 3901 || 7.1655817 || 5 3 : 5.162 6961 || 6.484.9154 6.775.4 6.948 oz.59 || 7.071 1810 || 7.167 or 73 ſ 57 4 || 5.287 6349 || 6491 7548 6.7789965 | 6.95o 3926 7.072 9646 7.168.4483 || 56 # 5.384 5449 || 6.4984882 6.782 4849 || 6.952 £; 7.0747408 || 7.169 8745 || 55 5463 7261 || 6.505 1188 6.7859454 || 6.955 oš78 || 7.076 5099 || 7.1712961 || 54 5.539 6729 || 6.5II 6497 || 6.789 3786 6.957 4164 || 7.0782717 | 7.172.7131 || 53 % § 6649 || 6.518 oã38 6.792 #. 6.959 7327 }: oz64 || 7.174 1254 52 9 || 5,6398,174 || 6.524.4239 || 6.796 1645 || 6.962 og66 || 7-oSI 7741 || 7.1755332 || 51 Io 5.685 5749 || 6.53o 6729 6.799 5182 || 6.964. 3284 7.083 5148 || 7.1769364 5o II 5.726 96.76 6.536 8332 || 6.8oz8461 | 6.966 6082 7,085 2485 7.1783351 || 4 12 || 5.764 7561 6.542. §: 6.806 1488 6.968 876O 7.086 9753 7.179 7293 || 4 13 || 5.7995.182 6.548.8977 6.809 4265 || 6.971 1321 || 7.088 6953 7.181 irgo || 47 14 || 5.831 7029 || 6.554.8066 || 6.8126796 || 6.973 3765 7.0904085 7.182 5043 || 46 15 || 5.861. 6661 || 6.560 6361 6.815 ; 6.975 6094 || 7.092 II49 || 7.183 §§ 45 16 || 5.889 6948 || 6.566,3884 || 6.819 1137 | 6.977 8309 || 7.093 8147 7.185 2618 || 44 17 is.916 oz38 || 6.572 9656 || 6.822. 2954 || 6.98ooqio || 7.095 5079 || 7.186634o 43 18 || 5.940 8474 § 6695 § 4539 6.982 2400 7.097 1945 7.188 oor 8 || 42 19 || 5.964 3285 | 6.5832O19 || 6.828 5896 || 6.984 4279 || 7.0988745 7.1893654 || 41 20 || 5.986 6049 || 6.588 6648 6.831 7029 || 6.986 6048 7.1oo 5481 || 7.1907247 || 4o 21 || 6.oo77942 | 6.594 osq9 6.834.7939 || 6.988 7709 || 7.1oz. 2153 7.192 oz.97 || 3 22 || 6.027 9975 | 6.599 § 6.837 8632 || 6.990 92.62 7.1038760 7.1934306 || 3 23 6.047.3oz7 || 6,6046529 || 6.840 9109 || 6.993 oſc3 | 7.1055.305 || 7.1947772 37 24 || 6.065 7861 || 6,609 854I 6.843 9373 || 6.995 2050 7.107 1787 || 7.196 1197 || 36 25 6.083 5149 6.614.9938 || 6.846 9428 || 6.997.3287 || 7.108.8296 || 7.197 458o 35 26 6.1oo 5482 | 6,620 oz.33 6.849 92.77 || 6.999 4420 | 7.IIo 4564 || 7.1987.923 || 34 27 6.116 9336 6.625 og41 || 6.852 8922 || 7.oor 5451 7.112 oë6o 7.2OO 1224 || 33 28 6.1327329 || 6.63ooš75 6.8558365 7.0036381 || 7.1137095 || 7.2OI 448 32. 29 || 6.147 9729 || 6,634.9649 6.8587611 || 7.005.72.II | 7.11532.70 || 7.202 77 3I. 3o 6.1626961 || 6,639.8174 6.861. 6661 |7.o.o. 7941 || 7.116.9335 | 7.204 c686 || 3o 1 6.1769366 6.6446162 6.864. 5518 7.009 8572 7.1185449 || 7.205402 2. 3. 6.190 72.48 6.649 3627 | 6.867 4.184 || 7.orr 9107 || 7-12o 1436 7.206 712 : 33 6.204 o888 || 6,654 os',8 || 6.870 2663 || 7.org 9544 7.121 7374 7.208 or&g 27 34 6.217 os38 || 6.658.7027 | 6.873 o')35 7.org 9886 7.1233253 7.209 3211 || 26 35 | 6.229 6429 6.663.2985 6.875 9065 || 7.org or 32 || 7-1249.974 || 7.210 6195 || 25 36 6.241 8774 || 6,6678461 6.878.6994 || 7.ozoo.285 7.1264838 7.211 9140 || 24 3 6.253 7766 || 6,672.3466 6.881 4745 7.022 oz.45 || 7.1289545 || 7.213 2046 || 23 3 6.2653585 6.6768oog 6.8842319 || 7.024 Cºrg | 7-129 ; 7.214. 4914 22 39 6.2766395 || 6.681 2 roo 6.886 9719 || 7.o26 or 89 7.13+ iº9 || 7.215 7744 || 21 40 || 6.287 6349_| 6,685 5748__6.8896948 || 7 oz79975 || 7-1327328 || 7,217 oš36 || 20 41 6.298 3587 6.689 8962 6.892 4. 7.0299671 || 7.134.2811 || 7.218 3290 || 1 42 6.308.8242 6.694 1750 | 6.895 oš98 || 7.031 § 7.1358238 7.219 6008 || 1 43 6.319 ot33 || 6,698.4121 6.897 7624 || 7.0338796 || 7.1373612 | 7220 8688 || 17 44 || 6.329 oz75 6.702 6982 | 6.9004187 || 7.0358228 || 7.1388931 || 7.222 1331 16 45 || 6.338.7874 || 6-7c6 §: 6.903 oš88 || 7.0377573 || 7.14041.96 || 7.223 3938 || 15 46 || 6.348.3327 6.7.108807 || 6.905 6829 || 7.039 6832 || 7.1419408 || 7.2246568 || 14 47 || 6.357 6727 | 6.7149586 || 6.9082913 || 7,041 6oof; | 7-143.4566 || 7.2259041 || 13 4. 6.366 8161 | 6.7189986 || 6.9108841 || 7.043 5096 || 7.1449672 | 7227 1539 || 13. 49 || 6.375 7709 || 6.723 oor.3 || 6.913 4615 || 7.0454ro3 || 7-1464726 || 72284coi i II 5o || 6.384.5449 || 6.726,9675 || 6.916 oz.37 || 7.047.3026 || 7-14797.27 | 7229 6427 | Io 51 || 6.393. 1450 6.7308978 || 6.9.185709 || 7.049 1868 || 7.149.4677 7.230.8818 § 52 || 6,461 5782 6.7347929 || 6.921 Io;3 || 7,057 có28 || 7.15o 9576 7.232 1173 53 || 6409 8507 || 6.7386533 6923 6209 || 7.052 93C7 | 7.152.4423 || 7.233 3494 || 7 54 || 6.417 9686 6.742.4797 || 6.926 1241 7.0547906 || 7.15392.21 || 7.2345779 || 6 55 || 6.425 9376 || 6.746 § 6.928 6129 || 7.056 6426 7.155 § 7.2.358o30 || 5 56 6.433 7629 || 6.75oo328 6.931 of 75 || 7.058.4868 7.1568664 || 7.237 oz-16 4. 57 || 6441 4497 || 6.7537697 || 6.933 5481 7.0603231 || 7-158.3312 || 7.238 2429 3 58 || 6.449 ooz9 || 6.757 § 6.935 9948 || 7.062 1517 || 7-159791o 7.239 4577 || 2. 59 || 6.456 4269 || 6.761 1218 || 6.938 4278 || 7.063972.7 || 7-161 2459 || 7.240 6691 I 60 || 6.463,7261 || 6.7647561 || 6.94.08473 || 7.065 7860 7.1626960 || 7.241 8771 o * I 59’ 58’ 57° 56’ 55’ 54" | * cos 89° © tang 0 189 A ſº 0’ 1’ 2’ 3” 4’ 5’ PP O — "| 6.463 7261 | 6.7647562 | 6.9408475 7.065 7863 7.1626964 || 6o I 4.685 5749 || 6.470 9047 | 6.768 3603 || 6.943 2536 || 7.067 5921 7.164 1417 | 59 2 || 4.986 6049 6.477 9666 6.771 9347 || 6.945 6464 || 7.069 3904 || 7.165582r 58 3 5.1626961 6.484.9154 6.775 48oo 6.948 oz61 7.071 1813 || 7,167 or 78 || 57 4 || 5.287 6349 || 6491 7549 || 6.778 9966 || 6.95o 3928 || 7.072 9649 || 7.168.4488 || 56 5 || 5.384 5449 6.4984882 6.782 4849 || 6.952 7467 || 7,074 7412 7.169875o 55 6 || 5.463 7261 || 6.505 II.88 6.7859455 | 6.955 o?79 || 7.076 5102 || 7.171 2966 54 5.5306729 6.5II 6497 6.789 3786 6.957 4166 7.0782720 7.1727.136 || 53 § 5.588 6649 6.518 § 6.792 7849 || 6.959 7328 7.08o oz68 || 7.174 1259 || 52 9 || 5.639 8174 || 6.5.24 4240 | 6.796 1646 || 6.962 oz.68 || 7.081 7744 7.1755337 || 51 Io 5.685 5749 6.53o 6729 6.799 5183 || 6.9643286 7.083 5151 7.176.9369 || 50 II 5.726 96.76 6.536 8332 6.8oz8462 || 6.966 6084 7.085 2488 7.1783356 || 4 12 || 5.764 7561 6.542 9074 6.806 1489 || 6.968.8762 || 7.086 9756 || 7.179 7298 || 4 13 || 5.799 5 182 6.5488977 6.809 4266 || 6.971 1323 7.0886956 7.181 1195 || 47 14 || 5.831 7029 6.554.8066 6.812 6797 || 6.973 3767 || 7.090 4088 || 7.182 5049 || 46 I5 5.861. 6661 6.560 6361 || 6.815 9087 | 6.975 6096 || 7,092 1153 || 7.1838858 || 45 16 5.889 6949 || 6.566 3885 6.819 1138 || 6.977 8311 || 7.093 8151 || 7.185 2623 || 44 17 | 5.916 O238 || 6.572 of 56 6.822 2955 | 6.98o oA12 || 7.095 5082 | 7.186 6345 || 43 18 || 5.940 8474 6.5776695 6.825 4540 | 6.982 2402 || 7.097 1948 || 7.188 ooz2 || 42 19 || 5.964 3285 6.583 2020 | 6.828 5897 || 6.984 4281 7.0988749 || 7.189 3659 || 41 20 5.986 6049 || 6.588 6649 6.831 7030 || 6.986 6050 || 7.1oo 5484 || 7.190 7252 || 4o 21 || 6.007 7942 6.594 os99 || 6.834 7940 | 6.988 7711 7.1oz. 2156 || 7.192 o802 || 39 22 || 6.027 9975 6.599 3887 6.837 8633 || 6.990 92.64 7.1038764 7.193 4311 || 38 23 || 6.047 3027 | 6.604 6536 6.84o 911o | 6.993 of Io 7.IoS 5309 || 7.194 7777 || 37 24 || 6.065 7861 6.609 8542 6.843 9374 || 6.995 2052 7.Io7 1790 7.196 1202 || 36 25 || 6.083 5149 || 6.614.9938 6.846 9429 || 6.997 3289 || 7.1088210 || 7.197 4586 || 35 26 6.1oo 5482 6.62o o?33 6.849 92.78 || 6.999 4422 || 7.IIo 4567 7.198.7928 || 34 27 | 6.116 9386 6.625 og41 || 6.852 8923 || 7.oO15454 7.112 oã64 || 7.2CO 1230 || 33 28 || 6.1327329 6.63o oš76 || 6.855 8367 7.0036383 || 7.1 137099 || 7.201 4491 || 32 29 || 6.147 9729 || 6 634 9649 || 6.8587612 || 7.005 7213 7.115.3274 7.2027711 || 31 3o 6.162. 6961 6.639 8174 6.861 666.2 7.007 7943 7.116 9389. 7.204 o?92 || 30 31 || 6.1769366 6.6446163 6.864. 5519 7.009 8575 7.118 5444 || 7.2O54032 || 29 32 || 6.190 7248 6.649 3627 6.867 41.85 7.orr 9109 || 7.12o 1440 || 7.206 7133 28 33 6.204 ob88 6.654 os.78 || 6.870 2664 || 7.or 39546 || 7.121 7378 7.208 or 95 || 27 34 || 6.217 os38 || 6.658.7028 || 6.873 og57 || 7.or; 9888 7.1233,257 | 7.209 3217 | 26 35 | 6.229 6429 6.663 2985 6.875 9066 || 7.org or 35 | 7.1.249978 || 7.21o 62or 25 36 || 6.241 8774 6.667 8461 6.878 6995 || 7.ozo oz88 || 7.126 4842 || 7.211 9145 || 24 37 || 6.2537766, 6.672 3466 6.881 4746 7.022 oz.48 7.128 os49 7.213 2052 || 2 38 || 6.2653585 6.676 8010 || 6.884 232O || 7.024 of 15 7.129 6199 || 7.2144920 i 22 39 6.276 6395 6.681 2101 || 6.886 972 r 7.026 or 91 7.131 1793 7.215 775o 21 40 || 6.287 6349 || 6.685 5749 6.889 6949 || 7.027 9977 || 7.132.7332 || 7.217 of 42 20 41 6.298.3587 | 6.689 8963 6.892 4008 || 7.0299673 || 7.134 2815 7.2183.296 || 19 42 || 6.308.8242 || 6.694 1751 6.895 Ogoo 7.031 928o 7.1358242 7.219 6914 | 18 43 || 6.319 oA33 6.698.4121 6.897 7626 7.033 8799 || 7.137 3616 || 7.22O 8694 || 17 44 6.329 oz75 6.702 6082 | 6.900 4188 7.0358231 || 7.138.8935 | 7.222 1337 || 16 45 || 6.338 7874 || 6.706 7642 | 6.903 of 89 || 7.037 7576 7.1404200 || 7.2233944 || 15 46 6.348.3327 6710 8808 || 6.905 683o 7.039 6835 | 7.141 9412 7.2246.514 14 47 6.357 6727 6.7149587 | 6.908 2914 || 7.04I 6009 || 7.1434.579 || 7.2259.048 || 13 48 || 6.3668161 6.7183987 | 6.91o 8842 || 7.043 5099 || 7.1449676 7.227 1545 12 49 6.375 7710 6.723 6614 || 6.913 4617 | 7.045 4105 || 7.146 4730 7.228 4007 || II 50 | 6.384 5449 6.7269676 6.916 o239 || 7.047 3oz.9 || 7.1479732 7.229 6433 Io 51 6.393 1451 6.7308979 || 6.918 5711 || 7.049 1870 7.149 4631 || 7.230 8824 9 52 6.4of 5782 6.734 7.929 || 6.921 1034 || 7.051 of 3o 7.15o 9589 || 7.232 1180 3 53 || 6409 8597 || 6.738 6534 || 6.923 62.11 || 7.052 93ro || 7.152.4428 || 7.233 35oo 7 54 || 6.417 9686 6.742 4798 || 6.926 1242 | 7.0547909 || 7.153 9225 || 7.2345786 || 6 55 || 6.425.9376 || 6.746 2.728 || 6.928 6130 || 7.056 6429 || 7.1553972 7.235 8o36 5 56 6.433 7629 || 6.750 oz.29 || 6.931 of 76 7.058.4871 7.1568669 7.237 oz.53 4. 57 || 6 441 4497 || 6.753 7608 || 6.933 5482 || 7.060 3234 || 7.1583.316 || 7.238 2435 | 3 58 || 6449 ooz9 || 6.757.4569 || 6.935 995o 7.062 1520 || 7.1597914 || 7.239.4583 || 2 59 || 6.456 4269 || 6.761 1219 || 6.938 428o 7.063 973o 7.161 2464 7.240 6698 I 6o 6.463 7261 || 6.7647562 | 6.940 8475 7.065 7863 || 7.1626964 || 7.241 8778 O tºº 59’ 58' 57? 56” 55’ 34' º cog 895 I 90 sin 0° F-5 6” 7. 8" | 9' 10’ 11’ */ o || 7.241 8771 || 7.308 8239 7.366 8157 || 7.417 9681 7.463 7255 7.5os 1181 6o 1 || 7.243 oš18 || 7.309 §. 7.367 7.195 || 7.4187716 || 7.464 4487 || 7.505 77.56 || 5 2 || 7.244 2832 || 7.310 8870 7.36862.15 7419 5737 7.465 17o" || 7.5of 4321 5 3 || 7.245 4813 || 7.311 9149 || 7.369 52.16 7.42O 3742 || 7.465 89.16 7.507 oë76 || 57 4 || 7.246 6760 || 7.312 9404 || 7.370 41.98 || 7.421 1733 || 7.466 6112 || 7.5of 7422 || 56 # 7.2478675 7.313 9635 | 7.371 3162 || 7.421 9709 || 7.467 3296 || 7.508 3958 55 7.249 oš57 | 73149842 7.372 zio'ſ 74227670 7468 ołó9 |7.509 ow83 || 54 § 2::::::: 7.316 oozá 7.373 Io94 || 7.4235617 | 7.468 ...; 7.509 6999 || 53 7.251 4225 | 7.317 ...; 7.373 §: 7.424.3549 || 7.469 4778 || 7.5Io 3506 || 52 9 || 7.252 6oro 7.318 oz I 7.374 8833 7.425 1467 || 7.47O 1915 7.511 COO2 51 Io 7253 7764 7.319 ot30 7.375 7705 || 7.425.9370 7.470 904 || 7.5II 6489 || 5o In 7.254 94.85 7.320 of 18 7.376 6559 || 7.426 7259 || 7.471 6154 7.512 2966 || 4 I2 7.256 1176 || 7.321 os83 || 7.377 5396 || 7.427 5134 7.472. 32.57 7.512 9434 || 4 13 || 7.257 2835 | 7.322 of 24 || 7.378.4214 || 7.428 2995 || 7.473 og47 || 7.5135892 || 47 I4 || 7.2584462 | 7.323 of 43 || 7.379 3014 || 7.429 o841 7.473 7426 7.514 2.34o 46 I5 || 7.259 6059 || 7.324 of 38 || 7.38o 1796 || 7.429 8673 || 7.4744493 7.514 8779 || 45 16 || 7.26o 7625 || 7.325 obio || 7.381 oš61 7.43o 6491 || 7.475 1549 || 7.515 5208 || 44 I 7.261 916o 7.326 osóo 7.381 §: 7.43 I : 7.475 8594 || 7.5.16 1628 || 43 I 7.263 obó4 || 7.327 og 87 7.382 8038 || 7.432 zo85 || 7.476 5627 7.516.8o38 || 42 19 || 7.264 2138 || 7.328 oz.91 7.383 6750 7.432 9861 7.477 2649 || 7.517 4439 || 41 20 || 7.2653582 || 7.329 oz72 || 7.384 5444 || 7.433 7624 || 7.477 9659 || 7.518 oë3o || 4o 2I 7.266 4996 || 7.330 or 31 || 7.385 4122 || 7.434 5372 7.478 6658 || 7.518.7212 39 22 || 7.267 638o 7.33o 9968 7.386 2.782 || 7.435 3106 7: 3646 || 7.5.19 § 38 23 || 7.268 7734 || 7.331 9783 || 7.387 1424 || 7.436 oë27 7.48o of 23 7.5.19 9948 || 37 24 || 7.269 9058 || 7.332 9575 7.388 coso | 7.436.8534 7.48o 7588 7.52O 6302 || 36 25 || 7.271 og53 || 7.333 9345 7.388 8658 7.437 6.228 7481 4542 7.521 2646 || 35 26 || 7.272 1619 7.334 3094 || 7.389 72.49 || 7.4383908 7.482. 1485 7.521 8982 || 34 27 || 7.273 2856 7.335.8821 || 7.390 5824 7.439 1574 7.4828417 7.522. 5308 || 33 28 || 7.2744.063 7.336 8525 7.391 4381 7.439 9227 | 7.483 5338 7.5231625 || 32 29 || 7.275 5242 || 7:337.8209 || 7-392 2922 || 7.4406866 || 7.484 2.248 || 7,523 7933 || 31 3o || 7.276 6392 || 7.338 787o 7.393 1446 || 7.441 4492 || 7.484.9147 7.5.24 4231 || 3o 31 || 7.277 7514 || 7-339 7511 || 7.393 9953 || 7.442. 2104 || 7.485 6035 | 7.525 952.1 || 29 32 || 7.27886O7 || 7.34o 7:30 || 7.394 8444 || 7.442 97.03 || 7.486 2.913 || 7.525 68or 28 33 7.279 9672 || 7.341 6727 7.395 6918 || 7.443 7289 7.486 9779 7.526 3073 27 34 7.281 o'708 || 7.342 63o4 7.396 # 2. 4862 7.487 6634 7.526 9335 26 35 | 7.282 # |3: 5859 || 7.397 3816 || 7.445 2421 | 7.488.3479 || 7.527 5588 || 25 36 || 7.283 2698 || 7.344 5394 || 7.398 2241 7.4459968 7.489 og 13 || 7.528 1833 || 24 37 || 7.284 3651 || 7.345.4907 || 7.399 obso 7.446 7501 || 7.489 7136 || 7 5288068 || 23 38 || 7.285 4577 || 7.346 4400 || 7.399 9042 || 7.447 5oz I | 7.490 3949 7.529 4295 || 22 39 || 7.286 5475 || 7.347 3872 7.40o 7418 7.448 2529 7.491 of 5o 7.530 oš12 21 40 || 7.2876346 || 7.348 3323 7.401 5778 || 7.449 ooz3 7.491 7541 || 7.53O 6721 20 41 || 7.288 7199 || 7.349 2754 || 7.402 4121 || 7.449 7504 || 7.492. 4322 7.531 2920 | 19 42 || 7.289 8o06 || 7.35o 21.65 7,403 2449 || 7.450 4973 || 7.493 Io92 || 7.53 I 91 II | 18 43 || 7.290 8796 || 7.351 1555 7.404 of 61 || 7.451 2428 7.493 7851 || 7.532 5294 || 17 44 7.291 9560 | 7.352 og25 || 7.404 9057 || 7.451 987.1 || 7.494 4600 || 7,533 1467 | 16 45 || 7.293 oz.96 || 7.353 oz75 7.405 7337 7.452 73oz 7.4951339 || 7.533 7631 || 15 46 || 7.294 IOO6 || 7-353 9664 7.40656or 7.453 4719 || 7.495 8067 || 7.534 3787 || 14 47 || 7.295 1690 || 7.35489.14 7.407 §: 7.454.2124 7.496 4784 || 7.534 9934 || 13 48 || 7.296 2.347 || 7-355.8203 || 7.408 zo&3 || 7.454 95.16 || 7.497 § 7.535 6O73 || 12 49 7.297 2979 || 7.356 7473 7.409 ozor 7.455 6896 || 7.497 8188 || 7.536 2202 || 11 50 || 7.298 3584 || 7.357 6723 7.409 8503 || 7.456 4263 || 7.498.4875 || 7.536 8324 || Io 51 || 7.299 4164 7.3585954 7.410 6689 7.457 1618 7.499 I551 7.5374436 ; 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I 8.449 ozos | 8.453 4881 | 8.457 91.03 || 8.462. 2878 || 8.466 6216 || 8.470 91.26 I9 42 8.449 og53 || 8.453 5622 §§ 9836 | 8.462 3604 || 8.466 6935 | 8.470 9837 18 43 8.449 17or 8.453 6363 || 8.458 osó9 || 8.462. 4330 8,4667653 | 8471 oš49 17 44 8.449 2459 | 8453 7103 || 8.458 r3oz 8.462 5055 $466 8372 | 8471 126o rô 45 8.449 31.98 || $453 §: 8453 2035 | 8.462 5781 $466 9992 | 8471 1971 || 15 36 8.4493945 8.453 8584 8.458 2768 8.462 6506 || 8.466.9808 || 8,471 2682 | 1.4 47 8.4494693 8.453 9324 || 8.458.35oo 3.462 7231 || $457 os26 8.471 3393 || 13 48 8.449 544; 8.454 oo&4 8.458 4233 8.462 7957 || $457 1244 8.471 4164 1% 49 8.449 6188 || 8.454 o?o4 || 8.458,4965 || 8.462 8682 || 8.467 1962 || 8.4714815 II 5o 8.449 6936 || 8.454 1543 8.458 5697 || 8.462 94O6 || 8.467268o || 8.471 5526 || ro 51 i 8.449 7683 || 8.4542283 8.458 6429 | 8463 o:3; 8.467 3397 || 8.471 6236 9 52 || 8.449.843o 8.454 3023 8.458 7161 || 8.463 oš56 8.467 4115 8.471 6947 8 53 || 8.4499.177 | 8.4543762 8.4587893 || 8.463 158o 8.467.4832 8.471 7657 || 7 54 || 8.4499924 || 8.454.4501 || 8.4588625, 8,463 2305 | 84675549 || 8.471 8367 || 6 55 | 8450 of 71 || 3.454 52.40 8.4589357 | 8.463 3029 34676266 8.471 § 5 56 8.450 1417 | 8454.5979 8.459 oo38 || 8.463 3753 | 8.4676983 | 8471 9787 i 4 57 | 8.450 2164 || $454 6718 3.459 oš19 || 3,463 4477 3.4677700 | 8472 ogg'ſ 3 58 || 8.45o 2919 || $4547457 8.459 1551 || 8.463 5201 || 8.4678417 | 8.472 1267 i? 59 || 8.4503656 || 8.454.3195 || 8.459 2282 | 8463.5925 | 84.679134 || 8472 1916 || 1 6o || 8.45o 4402 || 8.4548934 || 8.459 3013 || 8.463 6649 || 8.467 9850 8.472 2626 O Pº 22' 21’ 20" 19” 18' 949 23' 4° cos 88° tang 1° 40’ 36’ 37’ 38’ 39’ 41’ o || 8.446 IIo3 || 8.45o 6131 || 8.455 obgo | 8.4594814 || 8.463 8486 | 8468 1725 || 6o I | 8.446 1857 | 8.45o 6878 8.455 1438 8.459 5545 8,463 92 II | 8.468 2442 || 59 2 || 8.446 2611 | 8.45o 7624 8.455 2176 8.459 62.77 | 8.463 9935 | 84683159 || 58 3 || 8.446 3365 i 8.45o 8371 8.455.2915 8.459 7oo8 8.464 of 59 || 8.468.3875 || 57 4 || 8.446 4119 || 8.450 91.17 | 8.455 3654 || 8.459 7739 || 8.464 1382 | 8468.4592 || 56 5 || 8.446 4873 || 8.45o 9863 | 8.455 4392 || 8.459 84.70 || 8.464 2106 || 8.4685309 || 55 6 || 8.446 5627 | 8.451 offo.) | 8.455 5130 | 8.459 9201 || 8.464283o 8.468 6025 || 54 7 || 8.446 638o || 8.451 1354 || 8.4555868 || 8.459 9932 || 8.464,3553 | 8468 6741 || 53 8 || 8.446 7133 8.451 2100 | 8.455 6607 || 8.460 of 62 | 8.464 4276 | 8.468 § 52. 9 || 8.446 7887 | 8.451 2846 | 8.455.7344 || 8.460 1393 || 8.464 50oo 8.4688174 || 51 Io 8.446 8640 || 8.451 3591 8.455 8082 8.460 2123 || 8.464 5723 || 8.4688890 || 5o II | 8.446 9393 || 8.451.4336 || 8.4558820 8.460 2853 | 8.464 6446 || 8.468,9605 || 4 12 || 8.447 or 46 || 8.451 5081 | 8.4559558 8.460 3584 || 8.464 7.168 || 8.469 og21 || 4 13 || 8.447 ob%3 8.451 5826 8.456 oz.95 | 8.460 4314 || 8.4647891 || 8.469 Io:37 || 47 14 || 8.447 1651 | 8.451 6571 | 8.456 1032 || 8.460 5043 || 8.464 8614 || 8.469 1752 || 46 15 8.447 2404 || 8.451 § 8.456 1769 8.460 5773 || 8.464 9336 8.469 2468 I 45 16 || 8.4473.156 || 8.451 8061 | 8456 2506 || 8.460 6503 || 8.465 obj9 || 8.469 3183 || 44 17 | 8.447 3998 || 8.451 8805 || 8.456 3243 8.460 7232 || 8.465 of 81 | 8.469 3898 || 43 18 || 8.447 4660 | 8.451 9549 || 8.456 3980 || 8.460 ſ: 8.465 ISO3 | 8.469 :::: 42. 19 || 8.4475412 || 8.452 oz.94 | 8.4564717 | 8.460 8691 || 8.465 22:25 | 8.469 53 4 I 20 | 8.447 6164 8.452. 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; 8.600 1733 8.603 331 8.587 3606 || 3.590 6129 || 8.593 8411 || 8.597 oã53 || 8.600 2261 || 8.603 #; : 8.587 4150 | 8.590 6669, 8.593 8947 || 8.597 og85 || 8.600 2789 || 8.603 4.361 I 8.587 4694 | 8.590 7zog | 8.593 94.83 || 8.597 1517 8.600 3317 | 8.603 4886 O 47' 46’ 45' | 44 43' 42’ A / cos 87° tang 2* 233 P/ 12’ 13' 14" | 15" 16’ 17' APAP o || 8.584.5136 || 8.587 7945 8.591 osog 8.594 2832 || 8.597 4917 | 8.600 6767 || 6o I 8.584 5684 || 8.587 8490 8.591 Ioso | 8.594 3369 || 8.597 5449 || 8.600 7296 is 9 2 || 8.584 § 8.587 9035 | 8.591 1591 || 8.594 3905 || 8.597 5982 8.600 7824 58 3 || 8.584.6782 8.587 9579 || 8.591 2131 || 8.5944442 8.5976515 || 8.600 8353 || 57 4 || 8.5847331 8.588 or 24 8.591 2672 | 8.594 4978 || 8.597 7047 || 8.600 8882 56 5 || 8.584 % 8.588 off68 || 8.591 3212 || 8.594 5515 8.597 758o 8.600 9410 || 55 6 || 8.584.8428 8.588 1213 8.591 3753 8.594 6051 | 8.597 8112 || 8.600 9939 || 54 7 || 8.584.8976 | 8.588 1757 8.591 4293 8.5946588 8.5978645 8.601 og68 || 53 8 || 8.5849524 8.588 23or 8.5914833 8.594 7124 8.597 91.77 | 8.601 o'996 || 52 9 || 8.585 ob/3 || 8.588 2845 || 8.591 5373 8.5947660 || 8.597 9709 || 8.601 1524 || 51 Io 8.585 of 21 || 8.588 3389 || 8.591 5913 | 8.59481.96 || 8.598 oz.41 || 8.601 2053 || 50 11 || 8.585 1169 || 8.588 3934 || 8.591 6453 8.5948732 8.598 o'773 || 8.601 2581 || 49 12 8.585 1717 | 8.588 4478 || 8.591 6993 || 8.594 9268 8.598 1305 || 8.601 3ro9 || 48 13 || 8.585 2265 || 8.588 502I 8.591 7533 8.594. 9804 || 8.598 1837 || 8.601 3637 || 47 14 || 8.5852813 || 8.588 5565 8.591 8073 || 8.595 oz.4o 8.598 2.369 8.601 4165 || 46 15 8.585 3361 | 8.588 6109 || 8.591 8613 || 8.595 o'S75 8.598 2901 || 8.601 4693 || 45 16 || 8.585 3909 || 8.588 6653 8.591 91.52 | 8.595 1411 || 8.5983.433 8.601 52.21 || 44 17 | 8.585 4457 || 8.588.7196 || 8.591 9692 || 8.595 1947 | 8.5983965 | 8.601 5749 || 43 18 8.5855oo4 || 8 588 7740 | 8.592 oz.31 || 8.595 2482 8.598.4496 || 8.601 6277 || 42. 19 || 8.585 5552 8.588 8284 || 8.592 o'771 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8.592 7239 8.595 9439 8.599 14oz 8.602 3132 || 29 32 || 8.586 2665 8.589 5343 8.592.7778 || 8.595 9973 8.599 1932 || 8.602 3659 || 28 33 || 8.586 3211 || 8.589 5886 8.5928317 | 8.596 6568 8.599 2.463 8.602 4186 || 27 34 || 8.586 3758 || 8.589 6428 8.5928855 8.596 1042 8.599 2994 || 8.602 4712 || 26 35 | 8,586 4304 || 3.539 6971 8.592 9393 || 8.596 1577 || 3.599 3524 8.602 5239 || 25 36 || 8.586 4851 || 8.589 7513 || 8.592. 9932 8.596 21 it 8.599.4055 8.602 5766 || 24 37 || 8.586 5397 || 8.589 8055 8.593 od?o 8.596 2646 || 8.599.4585 8.602 6292 || 2 38 || 8.586 5944 8.589 8597 || 8.593 1008 || 8.596 3180 8.5995115 8.602 68.19 : 39 || 8.586 6496 || 8.589 914o 8.593 1546 || 8.596 3714 || 8.599 5646 || 8.602 7345 || 21 40 || 8.586 7036 || 8.589 9682 8.593 2085 || 8,596,4248 || 8.599.6176 || 8.602 7872 | 20 41 || 8.5367582 8.590 oz. 8.593 2623 || 8.5964782 | 8.599 6706 || 8.602 8398 || 1 42 || 8.586 81.28 8.590 o'66 8.593 3166 || 8.596 5316 || 8.599.7236 8.602 8924 § 43 8,586 8674 8.590 1308 || 8.593.3698 || 8.596 5850 | 8.5997766 8.602 9450 17 44 || 8.586 9220 | 8.590 1849 || 8.59342.36 || 8.596 6384 || 8.5998.296 || 8.602 9976 | 16 45 3.586 9766 || 3.590 2391 || 3.5934774 || 8.596.6918 3.5998826 8.603 ošoz | 15 46 8.587 og12 || 8.590 2933 8.593 5312 || 8.596 7451 8.599.9356 8.603 Io28 || 14 47 || 8.587 o'S57 || 8.590 3474 8.593 5849 || 8.596 7985 | 8.5999886 8.603 1554 || 1 48 || 8.587 1403 || 3.590 4oi6 8.593 6387 8.5968519 8.600 o415 || 8.603 2080 # . 49 || 8.587 1949 || 8.590 4558 8.593,6924 || 8.596 9552 || 8.600 og45 || 8.603 2606 || 11 50 | 8.587 2494 | 8.590 5099 || 8.5937462 |8.596 9586 || 8.600 1475 | 8.603 3132 Io 51 | 8.587 3039 || 3.590 5640 || 8.593.7999 || 8.597 or 19 || 8.600 zoo.4 8.6c3 3657 52 || 8.587 ;: 8.590 6182 8.593 8536 § o652 8.6co 2534 8.603 4183 ; 53 8.587 413o 8.590 6723 8.593 9673 || 8.597 1186 || 8.600 3663 | 8.603 4709 7 54 || 8.587 4675 || 3.590 7264 8.593 9611 || 8.597 1719 || 8.600 3592 || 8.603 52.34 || 6 55 8.587 52.29 || 3.590 7805 || 8.594 or 48 || 8.597 2252 8.600 4121 8.603 5766 5 56 || 8.587 5766 || 8.5908346 | 8.594 of 85 8.597 2785 8.600.4651 || 8.603 6285 4. 57 || 3.587 §: 8.590 8887 || 8.594 1222 8.597 3318 8.600 5180 8.603 6810 3 58 || 3.587 6855 3.590 9438 || 8.594 1759 || 8.597 3851 || 8.6005709 || 8.603 7335 2. 59 || 8.587 74oo || 8.590 9969 || 8.594 2.295 || 8.597 4384 || 8.600 6238 || 8.603 7861 I 6o 8.5877945 8.591 osog | 8.594 2832 || 8.597 4917 | 8.6co 6767 || 8.6038386 ſo * I 47' 46’ 45’ 44' 43' 42" | * cotg 87° 18" 237 19’ 22" 8.6o3 4886 8.6o6 6226 8.6o97341 8.6 128235 8.615891o 8,618 9369 8.6o3 541o 8.6o3 5934 8.6o3 6458 8.6o36982 8.6o3 75o8 8.6o38o3o 8.6o38554 8.6o3 9o77 8.6o3 96or 8.6o66746 8.6o67267 8.6o67787 8.6o683o7 8.6o68827 8.6o6 9347 8.6o6 9867 8.6o7 o387 8.6o7 o9o7 8.6o9 # 8.6o98374 8.6o98891 8.6o994o7 8.6o9 9924 8.6roo44o 8.61o o957 8.61o 1473 8.61o 1989 8.6 128748 8.612 9261 8.612 9773 8.613 o286 8.613 o799 8.613 1312 8.613 1825 8.613 2337 8.613 285o 8.615 941 8.615 # 8.616 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8.62o 9054 8.6o5 58o4 8.6o8 6994 8.6 11 7961 8.61487o9 8.617 924o 8.62o 9557 8.6o5 6326 8.6o5 6847 8.6o57369 8.6o5 7891 8.6o58412 8.6o58933 8.6o5 9455 8.6o5 9976 8.6o6 o497 8.6o87512 8.6o88o3o 8.6o88548 8.6o89065 8.6o89583 8.6o9 oor 8.6o9 o618 8.6o9 1136 8.6o9 1653 8.6r 18475 8.6 11 899o 8.6 11 95o4 8.612 oor8 8.612 o$32 8.612 1o46 8.612 156o 8.612 2o73 8.612 2587 8.614 9219 8.614973o 8.615 o24o 8.615 o751 8.615 1261 8.615 177r 8.615 2282 8.615 2792 8.615 33o2 8.617 974 8,618 3; 8.618 o761 8.618 1267 8.618 1774 8.6 18228r 8.6 182788 8.6183294 8.618 38or 8.621 oo6r 8.621 o564 8.621 1o67 8.621 1571 8.621 2o74 8.621 2577 8.621 3o8o 8.621 3583 8.621 4o86 8.6o6 1or8 8.6o92171 8.612, 31or 8.615 3812 8.61843o7 8.621 4589 8.6o6 1539 8.6o6 2o6o 8.6o6 2581 8.6o6 31oz 8.6o6 3623 8.6o6 4143 8.6o6 4664 8.6o6 5185 8.6o6 57o5 #: 2688 .6o93295 8.6o93722 8.6o9 424o 8.6o94757 8.6o95274 8.612 3615 8.6124128 8.612 4642 8.612 5155 8.612 5669 8.612 6182 8.612 6695 8.612 72o8 8.612 7721 8.6154322 8.6154832 8.6155342 8.615 5852 8.6156362 8.615 6871 8.615 7381 8.6157891 8.61584oo 8.6184814 8.618 532o 8.618 5826 8.6186333 8.6186839 8.6187345 8.6187851 8.618 # 57 8.618 8863 #: 5o92 .b2I 559 8.621 # 8.621 66or 8.621 7ro3 8.621 76o6 8.621 8ro9 8.621 86II 8.621 9114 8.6o6 6226 8.612 8235 8.615891o 8.6189369 8.621 9616 41' d, p 37" 36" tang 2° 235 sm- AA 18' 19? 20' | 21' 22' 23’ PP o || 8.603 8386 || 8.606 9777 || 8.610 og43 8.613 1889 || 8.6162616 || 8.619 3127 | 6o 1 || 8.603 8911 || 8.607 oz98 || 8.6xo 1461 8.613 2402 || 8.616 3126 8.6193634 59 2 || 8.603 9436 || 8.607 oš19 || 8.61o 1978 || 8.613 2916 || 8.6163636 8.619 4141 || 58 3 || 8.603 9961 | 8.607 134o 8.61o 2496 || 8.613 3430 | 8.616,4146 8,619.4647 || 57 4 || 8.604 og&5 | 8.607 1862 8.610 3org | 8.613 3944 || 8.6164656 8.6195154 6 5 8.604 Ioro 8.607 2383 || 8.61o 3531 8.6134457 | 8.616 5166 8.619566o ; 5 6 || 8,604 1535 | 8.607 2903 || 8.610 4048 8.613 4971 8.6165676 8.619 6167 54 7 || 8.6042060 | 8.607 3424 8.610 4565 8.613 5485 8.616 6.186 8,619 6673 || 53 8 || 8.6042584 || 8.607 3945 8.610 5082 8.613 5998 || 8.616 6696 || 8.61971 52. 9 || 8,604.3109 || 8.607,4466 || 8.610 5599 || 8.613 6511 || 8.616 7206 || 8.6197686 || 51 10 || 8,604 3633 || 8.6074987 || 8.610 6116 || 8.613 7025 || 8.6167716 8.619 8192 || 5o 11 || 8.6O441.58 || 8.60755 8.610 6633 8.613 7538 8.6168225 || 8,619.8698 12 || 8.6044682 8.607 § 8.61o 7150 | 8.613 8051 || 8.6168735 | 8,619 92.64 : 13 || 8.6045206 || 8.607 6548 || 8,610 7667 | 8.613 8564 || 8.616 9245 8.619 97.10 || 47 14 || 8,604 5731 8.607 7069 || 8.61o 8184 8.613 9078 8.616 9754 8.62o.oz.16 || 46 15 || 8.6046255 8.607 §: 8.610 8700 3.613 9591 || 8.617 ozó4 8.62o on 22 || 45 16 || 8,604,6779 8.6078110 | 8.61o 92.17 | 8.614 oroq | 8.617 oz73 || 8.62o 1228 I 44 17 | 8,604.7363 8.6078630 || 8.61o 9733 || 8.614 of 17 | 8.617 1282 8.62o 1734 || 4 18 8.6047827 | 8.607 915o | 8.611 oz.5o 8.614 1129 || 8.617 1792 8.62o 2239 # 19 || 8.6048351 8,607 9670 | 8,611 o'766 || 8.614 1642 || 8.617 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23 3 8.774 4460 | 8.776 5606 || 8.778 665o 8.78o 7591 8.782 8432 || 8.784 917 22. 39 || 8.774 4813 8.776 5958 8.778 6999 || 8.78o 7939 8.782 8778 || 8.784 9518 || 21 40 || 8.774 5166 || 8.776 6309 || 8.778 7349 || 8.78o 8287 || 8.782 91.25 | 8.784 9862 | 20 41 || 8.774 5520 || 8.7766661 || 8.7787699 || 8.78o 8636 8.782 9471 || 8.785 ozo" || 1 42 || 8.774 5873 8.776 7012 || 8.7788049 || 8.78o §. 8.782 98.18 8.785 os32 || 1 43 || 8.7746226 8.7767364 || 8.7788399 || 8.78o 9332 8.783 oi64 || 8.785 ob37 || 17 44 8.774,6579 8.7767715 8.778.8748 || 8.78o 9680 8.783 of Io 8.785 1241 || 16 45 || 8.774 º: 8.7768067 8.778 9098 || 8.781 ooz8 || 8.783 § 8.785 1586 15 46 || 8.774.7285 | 8.776.8418 8.778 9448 || 8.781 ox76 | 8.783 1203 || 8.785 1931 || 14 47 || 8.774 7638 8.776 8769 || 8.778 9797 || 8.781 of 24 || 8.783 1549 || 8.785 2.275 || 13 48 || 8.774 7992 || 8.776 9121 8.779 or 47 | 8.781 IoT2 8.783 #. 8.785 262o | 12 49 || 8.774 8345 8.776 9472 | 8.779 o!96 || 8.781 1419 || 8.783.2242 8.785 2964 || 11 50 || 8.774 8697 8.776 9823 8.779 o846 || 8.781 1767 8.783 2.588 8.785 3309 || Io 51 || 8.774. 9050 || 8.777 or 74 || 8.779 Irg6 || 8.781 2115 || 8.783 2934 || 8.7853653 9 52 || 8.774 94.03 || 8.777 os25 || 8.779 1545 8.781 2463 8.783 3289 || 8.7853998 || 8 53 || 8.774 9756 8.777 oš77 8.779 1894 | 8.781 2811 | 8.783 3626 8.785.4342 7 54 || 8.775 orog | 8.777 1228 || 8.779 2244 8.781 3158 || 8.783 3972 | 8.7854687 6 55 8.775 of 62 | 8.777 1579 || 8.779 2593 8.781 3506 || 8.783 4319 || 8.785 5031 || 5 56 || 8.775 obi 5 || 8.777 1930 || 8.779 2943 . 3854 8.783 4665 8,785 5376 || 4 57 || 8.775 1167 8.777 2281 || 8.779 3292 || 8.781 4202 || 8.783 5011 || 8.7855720 3 58 8.775 1520 8.777 :::: 8.779 3641 i 8.781 4549 || 8.783 5357 | 8,785 6064 || 2. 59 || 8.775 1873 || 8.777 2983 || 8.779.3991 || 8.781 4897 || 8.783 5702 || 8.785 6409 || 1 60 || 8.775 2226 8.777 3334 || 8.779 434o 8.781 5244 || 8.783 6048 8.785 6753 o | Any 35’ 34” 33’ 32" 31’ 30.’ APP cos 86° O tang 3 P Jø Aſ 26’ 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4538 || 8.795.4778 || 8.7974923 || 12 49 8.787 3588 || 8,789 4114 || 8.791 4543 8.793 4876 8.795 5114 || 8.797 5258 || 11 5o 8.787 3931 || 8.789.4455 | 8.791 4883 || 8.793 52.14 || 8.795 5451 || 8.797 5593 || Io 51 || 8.7874274 || 8.789.4797 8.791 5223 8.793 5552 8.795 5787 8.797 5928 9 52 8.7874617 | 8.789 § 8.791 5562 8.793 5890 8.795 6124 8.797 6263 8 53 || 8.787 4960 | 8.789 5479 || 8.791 5902 || 8.793 6228 8.795 6460 | 8.797 6597 || 7 54 || 8.787 53oz 8.7895820 | 8.791 6241 || 8.793 6566 8.795 6796 || 8.797 6932 6 55 || 8.787 § 8.789 6161 3.791 6581 8.793 6904 || 8.795 7133 8.797 7267 || 5 56 8.787 5988 || 8.789 6503 || 8.791 6920 8.793 7242 | 8.795 7469 || 8.797 7602 || 4 57 | 8.787 6331 || 3.789 6844 3.791 726o 8.793 7580 8.795 7805 || 3.797 7937 || 3 58 || 8.787 6673 || 8.789 7185 | 8.791 7599 || 8.793 7918 8.795 8142 | 8.7978271 || 2 59 || 8.7877oró | 8,789 7526 || 8,791 7939 || 8.793 82.56 || 8.795 8478 || 8.797 8606 || 1 6o || 8.787 7359 || 8.789 7867 || 8.791 8278 || 8.793 8594 || 8.795 8814 || 8.7978941 o Aſº 29" 28’ 27” 26” 25’ 24” Jº cos 86° tang 3° 259 Aſ 30’ 31’ 32’ 33’ 34' 35’ ſº o 8.786.4861 | 8.788 5544 8.790 613o 8.792 662o 8.794 7orq 8.7967313 || 6o I 8.786 5206 || 8.788 5888 8.790 6472 || 8.792 6960 | 8.794 7353 | 8.796 7651 || 5 2 8.786 5552 8,788 6.232 8.790 6815 8.792 73or 3.794.7692 || 8.796 # 5 3 || 8.786 5897 8.7886576 || 8.790 7157 8.792 7642 8.7948o31 || 8.796 8326 || 57 4 || 8.786 6243 8.7886919 iS.790 7499 || 8.792 7982 8.794.8370 | 8.796 8663 || 56 § 8.786 :::: 8.7887263 8.790 §: 8.79%. 8323 8.79487 8.796 9oor 55 8.786 6934 || 8.78876O7 8.790 8183 8.792 8663 || 8.794 8.796 9338 || 54 7 H 8.786 7279 || 8.788 7951 8.79085.25 | 8.792 9004 || 8.794.9387 || 8.796 96.75 || 53 8 || 8.786 7624 || 8.788 8294 || 8.790 8868 8.792 9344 || 8.794 97.26 8.797 oor 3 || 52. 9 || 8.786 7970 || 8.788 86.38 8.790 921o 8.792, 9685 8.795 ocó5 8.797 oz.5o || 51 Io || 8.7868315 8.788 8982 | 8.790 9552 | 8.793 ooz.5 || 8.795 o!oq 8.797 of 87 || 5o II | 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#: 8.867 #: 8.869 of 39 || 8.870 7737 8.872 4668 || 8.874 1533 : 33 || 8.865 6828 8,867 3959 || 8.869 1023 8,870 8org | 8.872 4949 8.874 1813 27 34 || 3.865 7114 || 3.367 4244 3.869 1307 || 8.8703392 || 3.372.5231 8.874 2094 || 26 35 | 8.865 7429 || 3.867 4529 || 3.869 1391 || 3:370 § 8.872 5513 || 8.874 2374 || 25 36 || 8.8657686 || 8.867.4814 || 8.869 1874 || 8.870 8868 || 8.872 5794 | 8.874 2655 || 24 8.865 7972 | 8.8675 8.869 2.158 8.870 91.5o 8.872 6076 || 8.874 2935 || 23 - 3. 8.865 8258 || 8.867 5384 || 8.869 2442 8.87O 9433 8.872 6357 8.874 3216 22 39 || 8.865 8544 || 8,867 5669 || 3.869 2726 || 8.87o 97.15 8,872 6639 || 8,8743496 || 21 4o 8.865 883o || 8.867 5953 || 8.869 3009 || 8.870.9998 || 8.872 6920 || 8.874 3776 || 20 4 I 8.865 91.16 || 8.867 6238 8.869 3293 || 8.871 oz81 8.872 7292 || 8.874.4057 || 1 42. 8.865 94oz 8.867 § 8.869 3577 | 8.871 3. 8.872 7483 || 8.874 :#; I 43 || 8.865 9688 8.867 6808 || 8,869 3860 | 8.871 o846 | 8.872 7765 || 8.874 461 17 8.865 9974 8.867 7093 || 8.869.4144 || 8.871 II28 || 8.872 8046 || 8.874 4898 || 16 : 8.866 oz.59 || 3.867 7377 8.869 4428 8.871 1411 || 8.872 8328 3.874 5178 || 15 46 || 8.866 of 45 8.8677662 | 8.869.4711 || 8,871 1693 8.872 8609 || 8.874 5458 || 14 8.866 ob31 || 8.8677947 | 8.869 4995 || 8.871 1976 || 8.872 8890 8.874 5739 || 1 # 8.866 1117 | 8.867 8231 8.869 5278 || 8.871 2258, 8.872 9172 | 8.874 6org :: 49 || 8.866 1403 || 8.867. 85.16 || 8.869.5562 || 8.871 2541 || 8.872 9453 || 8,874 6299 || 11 50 || 8.866 1689 8.86788or 8.869 5845 8.871 2823 8.872 9734 8.874 6579 || Io 51 8.866 1974 || 3.867.9085 | 8.869 6129 || 8.8713125 | 8.873 ooró | 8.874 6860 52 || 8.866 226o 8.867 93.70 || 8.869 6412 || 8.871 3388 8.873 oz.97 || 8.874.714o § 53 || 8.866 2546 8.867 9655 8.869 6696 || 8.871367o 8.873 os?8 || 8.874.7420 7 8.866 2831 8.867 99.39 8.869 6979 8.871 3953 8.873 o859 8.874 7700 6 :: 8.866 31.17 | 8.868 oz24 || 8.869 7263 || 8.871 4235 | 8.873 1141 8.874.7980 5 56 8.866 3403 || 8.868 oso2 | 8.869 7546 8,871 4517 | 8.873 1422 || 8.8748260 4} 7 || 8.866 3688 || 8.868 of 93 || 8.869 783o 8.871 4799 || 8.873 1793 8.874 8540 # 8.866 #: 8.868 Ioz7 8.869 8113 8.871 5082 | 8.873 1984 8.8748821 : 59 || 8.866.426o || 8.868 1362 8,869 8396 || 8.871 5364 || 8.873 2265 || 8.87491or I 60 || 8.866 4545 8.868 1646 8.869 868o || 8.871 5646 8.873 2546 | 8.874 9381 O 49/ 47' 46’ 45° 44' 43' 42" AF cos 85° tang 4° 12’ 13” 14’ 15’ 8.865 9055 8.867'6317 8.869 3511 8.871 of 38 8.872 7699 8.874 4694 8.865 9343 8.865 9632 8.865 99.20 8.866 ozo& 8.866 o496 8.866 o'784 8.866 1073 8.866 1361 8.866 1649 8,867 6604 8.867 6891 8.867 71.78 8.867 7.465 8.8677752 8.8678o39 8,867 8326 8.867 8613 8.867 8900 8.869 3797 8.869 4083 8.869 4369 8.869 4655 8.869 4941 8.869 5227 8.8695513 8.8695799 8,869 6085 8.871 o')23 8.871 1208 8.871 1493 8.871 1778 8.871 2063 8.871 2347 8.871 2632 8.871 2917 8.871 32O2 8.872 7983 8.872 8267 8.872 855o 8.872 8834 8.872 9118 8.872 9401 8.872 9685 8.872 9969 8.873 oz.52 8.874 4976 8.874 52.59 8.874 5542 :::::::: .874 bro7 8.874 6389 8.874 6672 8.874 6955 8.874 7237 8.866 1937 8.867 9187 8.869 6370 8.871 3486 8.873 os36 8.874 752O 8.866 2225 8.866 2513 8.866 28or 8.866 3089 8.866 3377 8.866 3665 8.866 3953 8.866 4241 8.866 4529 8.867 9474 8.867 9761 8,868 ooq8 8.868 of 35 8.868 obzz. 8,868 ogog 8.868 1196 8.868 1482 8.868 1769 8.869 6656 8.869 6942 8.869 7228 8.869 7514 8.869 7799 8.869 8085 8,869 8371 8.869 8656 8.8698942 8.8713771 8.871. 4056 8.871 434o 8.871 4625 8.871 4910 8.871 5.194 8.871 5479 8.871 5764 8.871 6048 8.873 obzo 8.873 IIo3 8.873 1387 8.873 1670 8.873 1954 8.873 2237 8.873 2521 8.873 2804 8.873 3088 8.874 78oz. 8.874 8085 8.874 8367 8.874 865o 8.874 8932 8.874 92.14 8.874 9497 8.874 9779 §: oo:32 8.866 4817 8.868 2056 8.869 9228 8.871 6333 8.873 3371 8.875 og44 8.866 5105 8.8665392 8.866568o 8.866 5968 8.866 6256 8.866 6544 8.8666831 8.866 7119 8.866 7407 8.868 2343 8.868 2629 8.868 2916 8.868 3203 8,868 3489 8.868 3776 8.868 4063 8.868 4349 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8.870 8074 8.870 3359 8.870 8644 8.870 8929 8.870 9214 8.870 9499 8.870 9784 8.871 ooé9 8.871 oz.53 8.872 5144 8.872 5428 8.872 5712 8.872 5996 8.872 628o 8.872 6564 8.872 6848 8.872 7131 8.872 7415 8.874 2149 8.874 243 I 8.874 2714 8.874 2997 8,874 328o 8.874 3563 8.874 3845 8.874 4128 8.874. 4411 8.875 9087 8.875 9369 8.875 9651 8.875 9933 8.876 oz.14 8.876 odgó 8.876 of78 8.876 1059 8.876 1341 8.867 6317 8.869 3511 8.871 of 38 8.872 7699 8.874. 4694 8.876 1623 47? 42’ 44' 43' & ū 2.74 sin 4° | " | 18' 19? 20’ 21’ 22’ 23” i c 8.874 9381 8.876 6150 8.878 2854 || 8.879 9493 8.881 6069 8.883 2581 | 60 : I 8.874 9661 8.876 6428 8.878 3131 8.879 9770 8.881 6345 8.383 2856 59 #| 2 || 8.874 994I 8.876 § 8.878 3499 || 8.880 Coq 7 8.881 6629 8.883 3131 || 58 : 3 8.875 ozzi 8.876 698 8.878 3687 8,880 og24 3,881 6896 || 8.883 3405 57 f 4 ; 3.875 osol 8.876 7265 8.878 3965 8,880 oboo 8.881 7172 | 8.883 368o 56 É 8.875 of 81 i 8.876 7544 8.878 4243 8.88o o877 3.881 7447 8.883 3955 || 55 8.875 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8.879 8386 8.881 4966 8.883 1483 || 8.8847936 4. 57 8.876 5313 3.873 2020 8.8798663 || 8.881 5242 8.833 1757 8.884 8210 3 58 8.876 5592 8.8782298 8.879 8943 8.881 5518 8.883 2032 8.884 8484 2. 59 || 8.876 5871 || 8.878 2576 || 8.879 92.16 || 8.881 5793 8.883 2307 || 8.884 8757 I 60 8.876 615o 8.878 2854 8.879 9493 || 8.881 6069 8.883 2.581 || 8.884 9031 O ” 41' | 40' | 39" | 38' 37’ 36” 44 *-*rºr-º-º-º-º-º-º-º-mºm------º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-º-ºsmºssºmsºmº-ºº-ººººººº-ººººººººººm-s-r cos 85° - tang 4° 275 18" 19' 20’ H. 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8.882 6475 8.884 3092 8,885 9647 8 $3 8.877 6523 8.879 3330 8.881 oo'ſ 3 | 8.882 6752 8.884.3369 8.835 9922 7 54 3.377 6893 || 3.879 3629 8.831 of 51 8.882 7030 8.884 3645 8,886 org& 6 55 ; 3.877 7084 3.379 3889 8.881 obso 8.882 7307 || 8.884 3921 | 8,886 oa?3 5 56 8.877 7364 || 8.879 4168 8.881 ogó8 8.882 7584 8.884 4198 || 8,886 of 48 4. 57 3.377 7645 3.879 4448 8.881 1187 8.882 7862 8.884 4474 8.886 to24 3 58 || 3.877 1926 3.879 4727 3.881 1465 8.882. 3139 || 3.884 4750 3.386 1299 2. 39 || 8,877 8206 || 3.8795oo7 | 8.881 1744 8,882 8417 | 8.884.5oz7 || 8,886 1574 I 6o 8.877 8487 8.879 5286 8.881 zo.22 8.882 86.94 8.884 5303 8.886 1850 O |TF 41’ 40’ 39’ 38" 37’ 36’ – cotg 85° º © 276 sin 4 º 24” 25° 26' | 27' 28' 29* o || 8.8849931 || 8,886 5418 || 8.888 1743_|_8,889 8oo?__8.891 4209 || 8.893 og51 || 6o 1 || 8.884 9355T3.886 5691 Tâ.888 zo[5 || 8.8898277 T3.3914479 TB.893 obzo 59 2 || 8.884 9578 8.8865963 || 8.888 2286 8.889 8548 8.891 4748 8.893 ob88 || 58 3 || 8.884 9852 | 8.886 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2321 || 8,890 8545 || 8,892.4708 || 8.894 oëII | 21 40 || 8.885 9963 8.887 63O8 || 8,889 2592 || 8.899.8815 8.892 4977 || 8.894 Ioj9 || 20 41 || 8.886 oz.35 | 8.887 658o 8.889 2863 8.890 9085 8.892. 5246 8.894 1347 | 19 42 | 8.886 osos | 8.8876852 | 8.889 3134 || 8,890 9355 8.892 5515 3.894 1615 18 43 || 8.886 o?81 || 8 887 7124 8.889 3405 || 8.890 9625 | 8.892 5784 8.894 1883 || 17 44 || 8.836 IoS4 || 3.887 7396 || 8.889 3676 8.890 98.94 8.892 6053 | 8.894.2159 16 45 || 8,886 1327 | 8.8877668 || 8.889 3947 | 8.391 oi64 || 8.892 6321 | 8.894 2418 || 15 46 8.886 16oo 8.887.7939 8.889 4217 | 8.891 od 34 8.892 6590 8.894 2686 || 14 47 8.886 1873 || 8.887 8211 || 8.889 4488 8.891 of oa 3.892 6859 8.8942954 || 13 48 || 8.886 2.146 | 8.887 8483 || 8.889 4759 || 3.891 o')74 8.892 7128 8.894.3221 | 12 49 || 8,886 2418 || 8.887.8755 || 8,889.5ogo || 8,891 1243 || 8,892 7396 || 8,894.3489 || 11 50 || 8,886 2691 || 8.887.9027 | 8,889 5300 || 8,891 1513 || 8.892, 7665 8.894 3757 | Io 51 || 8.386 2964 8.887 9298 || 8.889 5571 8.891 1783 || 8.392 7934 3.894.4025 9 52 | 8.886 3237 8.887 95.70 | 8.8895842 8.891 2052 | 8.892 8202 | 8.3944292 8 53 || 8,886 3509 | 8.887 9842 8.889 6112 || 8.891 2322 || 8.892 8471 8.894.4560 7 54 8.886 3782 8.888 or 13 8.889 6383 8.891 2592 || 8.892 8749 8.894.4827 6 55 || 8.836.4055 8.888 og85 8.889 6654 8.891 2861 3.892 9008 || 8.894 5095 5 56 || 8.8864327 | 8.888 obs? 8.889 6924 8.891 3131 | 8.892 9277 | 8.894 5363 4. 57 | 8.8864%oo 8.888 ooz8 8.889.7.195 8.891 3401 8.892 9546 8.894 5630 3 58 || 8.886 4873 || 8.388 1200 8.889 7466 8.891 3670 8.892 9814 || 8.894 5898 2. 59 || 8.886 5145 || 8,888 1471 || 8.889 7736 |_8.891 394o 8.893 oo33 || 8.894 61.65 I 6o 8.886 5418 8.888 1743 8.889 8oo7 8.891 420, 8.893 og51 8.894 6433 O | 34' 33' | 32' | 31' 30.’ AP cos 85° tang 4° 27 7 ” 24' 25° 26’ 27° 28' | 29' */ o | 8.83618so 8887 8334 8.889.4757 | 8.89, 1119 | 8,892.74% | 8.8943660 l 60 1 || 8.886 2.125 | 8.887 8608 || 8.889 5030 8.891 1391 || 8.892 7691 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Io94 || 8.933 5776 || 8.935 od 17 | 8.936 5010 || 8.937 9552 | 8.939 4046 || 37 24 || 8.932 1330 | 8.933 6ozo | 8.935 off61 || 8.936 5252 8.937 9794 | 8.939 4288 || 36 25 | 8.932 1575 | 8.933 6265 8.935 ogoş | 8.936 5495 || 8.938 oogó | 8.939 4529 || 35 26 8.932 1820 8.933 6509 || 8.935 1148 8.936 5738 8.938 oz78 8.939 477o 34 27 | 8,932 2065 | 8.933 6753 || 8.935 1392 || 8.936 5981 | 8.938 oszo 8.939 5011 || 33 28 || 3.932. 2311 8.933 6998 || 8.935 1635 | 8.936 6223 8.938 of62 8.939 5252 || 32 29 || 8.932 2556 8.933 7242 | 8.935 1879 || 8.936 6466 || 8.938 1604 || 8.939 5493 || 31 30 || 8.932 28or 8.933 7487 | 8.935 2122 8.936 6709 || 8.938 1246 8.939 5734 || 30 31 || 3.932 3o46 || 8.933 7731 || 8.935 2366 8.936 6951 || 8.938 1488 8.939 5975 2 32 || 8.932 3291 8.933 7975 8.935 2609 || 8.936 71.94 || 8.938 1730 8.939 62.16 || 2 33 || 8.932 3536 8.933 8220 | 8.935 2853 8.936 7437 8.938 1971 8.939 6457 27 34 || 8.932. 3781 8.933 3464 || 8.935 3096 || 8.936 7679 8.938 2213 | 8.939 6698 || 26 35 | 3.932 4oz7 8.933 3708 || 8.935 334o 8.936 7922 8.938 2455 3.939 6939 || 25 36 8.932.4272 8.933 8952 | 8.935 3583 8.936 8165 8.938 2697 || 8.939 7180 || 24 37 || 3.932 4517 | 8.933 91.97 || 8.935 3827 8.936 8407 || 8.938 2939 8.939 7421 || 23 38 3.932 4762 8.933 94.41 8.9354070 8.936 3650 8.933 3180 8.939 7662 || 2:. 39 || 8,932 5007 || 8.933 9685 || 8.935.4314 || 8.936 8892 || 8.938 3422 || 8.939 7903 || 21 40 | 8.932 5252 || 8.933 9929 || 8.935.4557 | 8.936 9135 | 8.938 3664 || 8.9398144 || 20 41 $932 5497 || 3.934 or 74 8.93548oo 3.936 9378 8.938 3906 || 3.939 $385 | 19 42 | 8.932 5742 | 8.934 o418 8.935 5044 8.936 962o 8.938.4147 8.939 8626 || 13 43 || 8.932 5987 | 8.934 ob62 || 8.935.5287 || 8.936 9863 | 8.938.4389 8.9398867 17 44 || 3.932 62.32 || 3.934 ogoó | 8.935 553o 8.937 oroš 8.938 4631 || 8.939 9108 || 16 4; 3.932 5477 $934 1150 | 3.935 5774 || 3.937 og48 || 3.938.4873 || 3.939 9349 || 15 46 | 8.932 6722 || 8.934 1394 | 8.935 6017 | 8.937 oš90 8.938 5114 || 8.939 9589 || 14 47 || 8.932 6967 || 8.934 1638 8.935 626o 8.937 oë33 || 8.938 5356 8.939 983o I3 48 || 8.932 7212 8.934 1883 || 8.935 6504 || 8.937 Ioys | 8.938 5597 || 8.946 oo/I I. 49 || 8,932 7457 || 8.934 2127 | 8.935 6747 | 8.937 1318 8.938 5839 || 8.940 ogí2 || 1:1 50 || 8.932 7792 || 8,934 2371 || 8,935 6999 || 8.937 1560 | 8.938.6081 || 8.94oo553 || Io 8.03.2 8. 6 8. en 8. 8O2 8.028 622 8.04o 5I 932 7947 | 8.934 2015 8.935 7233 8.937 I 938 b322 || 8.940 O794 8.932 8191 | 8.934 2859 || 8.935 7476 | 8.937 2045 || 8.938.6564 8.94o 1634 . 8.932 8436 8.934 31.03 || 8.935 7720 8.937 2287 8.938 6805 8.94o 1275 7 8.932 868 I | 8.934 3347 | 8.935 7963 8.937 2530 8.938 7047 8.940 1516 || 6 8.932 8926 8.934 3591 || 8.93582O6 8.937 2772 8.938 7289 8.94o 1757 5 8.932 917 | 8.934 3835 | 8.9358449 8.937 3014 || 8.9387536 8.94o 1997 || 4 3,932.94.6 $934.4979 3,9353692 || 8.937 3257 | 8.938 7772 | 8.94o 2238 || 3 8.932 9660 | 8.934 4323 ; 8936 8.937 3499 || 8.9388or 3 || 8.940 2479 || 2. 8.932.9995 || 8,934.4567 8.935 91.79 || 8.937 3741 || 8.9388255 8.94o 2719 || || 8.933 or 5o || 8.934 4811 || 8.935 9422 || 8.937 3983 || 8.9388496 || 8.940.2960 O 5* 4” | 3’ 2’ | 1” O’ p/ T- - cos 85° tang 4° 287 54’ 55’ 56’ 57? 58’ 59’ Jº 8.933 134o 8.934 616o 8.936 og29 || 8.937565o | 8.939 of 21 i 8.94o 4944 || 6o 8.933 1588 8.934.6406 || 8.936 II75 || 8.9375895 8.939 os65 8.9405187 || 59 8.933 1835 | 8.934 6653 8.936 1421 || 8.937 § 8.939 o809 8.94o 543o || 58 8.933 2083 || 8.934 6899 || 8.936 1667 || 8.937 6384 || 8.939 IoS3 || 8.9405673 || 57 8.933 233o 8.934 7146 || 8.936 1912 || 8.937 6629 || 8.939 1297 8.9405917 | 56 8.933 2577 i8.934 7392 || 8.936 2.158 || 8.937 6874 8.939 1541 8.940616o 55 8.933 2825 | 8.934 7639 || 8.936 2404 || 8.937 7119 || 8.939 1785 | 8.9406403 || 54 8.933 3072 | 8.934 7885 || 8.936 2649 || 8.937 7364 || 8.939 2029 || 8.94o 6646 53 8.933 3319 || 8.934.8132 || 8.936 2895 || 8.937 7609 || 8.939 2273 || 8.9406890 || 52 8.933 3567 8.934 8378 || 8.936 3.141 || 8.937 7853 || 8.939 2517 | 8.94o 7133 || 51 8.933 3814 || 8.934 8625 | 8.936 3386 8.937 8098 || 8.939 z761 || 8.940.7376 50 8.933 4061 || 8.934.8871 | 8.936 3632 || 8.937 8343 || 8.939 3005 || 8.94o 7619 || 4 8.933 4308 || 8.934 9118 8.936 3877 8.937 8588 8.939 3249 || 8.94o 7862 4. 8.933 4556 | 8.934 9364 || 8.936 4123 8.937 8833 8.939 3493 || 8.940 8105 || 47 8.933 4803 8.934 9610 || 8.936 4368 || 8.937 9077 8.939 3737 || 8.940 8349 || 46 8.933505o 8.934 9857 8.936 4614 || 8.937 9322 8.9393981 | 8.940 8592 || 45 8.9335297 || 8.935 orog | 8.936.4860 8.937 9567 8.939 4225 | 8.94o 8835 || 44 8.9335544 8.935 ox49 || 8.936 5105 || 8.937 98II | 8.939 4469 || 8.94o 9078 43 8.933.5791 || 8.935 os96 || 8.936 5351 || 8.938 ooš6 || 8.939 4713 || 8.94O 932 I 42 8.933 6039 || 8.935 oś42 || 8.936 5596 || 8.938 ozoi 8.939 4957 | 8.94o 9564 || 41 8.933 6286 8.935 Io88 8.936 5842 8.938 oš45 8.939 5200 8.94o 9807 || 4o 8.933 6533 8.935 1335 | 8.936 6087 | 8.938 on 9o | 8.939 5444 8.941 oojo || 39 8.933 6780 || 8.935 1581 || 8.936 6332 8.938 Io95 || 8.939 5688 8.941 oz.93 38 8.933 7027 | 8.935 1827 | 8.936 6578 || 8.938 1279 || 8.939 5932 || 8.941 of 36 || 37 8.933 7274 || 8.935 2074 8.936 6823 || 8.938 1524 || 8.939 6176 || 8.941 o'79 || 36 8.933 7521 8.935 2329 || 8.936 7069 || 8.938 1769 || 8.939 6420 | 8.941 Ioz2 || 35 8.933 7768 || 8.935 2566 || 8.936 7314 8.938 zon 3 || 8.939 6663 8.941 1265 || 34 8.9338or 5 || 8.935 2812 || 8.936 7560 | 8.938 2258 8.939 6907 || 8.941 1508 || 33 8.9338262 8.935 3058 || 8.936 7805 || 8.938 25oz | 8.939 7.151 8.941 1751 32 8.933 8509 || 8.935 3305 || 8.936 805o 8.938 2747 8.939 7395 || 8.941 1994 || 31 8.933 8756 | 8.935 3551 | 8.936 8296 || 8.9382991 | 8.939 7638 || 8.941 2237 || 3o 8.933 9003 || 8.935 3797 | 8.936 8541 8.938 32.36 || 8.939 7882 | 8.9412480 || 2 8.933 925o 8.935.4043 || 8.936 8786 8.938 3480 || 8.9398126 || 8.941 2.722 2. 8.933 9497 || 8.935 4289 || 8.9369632 || 8.938.3725 8.939 8369 || 8.941 2965 || 27 8.933 9744 || 8.935 4535 | 8.936 92.77 | 8.938 3969 || 8.939 8613 || 8.941 3208 || 26 8.933 999 || 8.9354781 | 8.936 9522 || 8.938 4214 || 8.9398857 | 8.941 3451 || 25 8.934 oz38 || 8.935 5027 | 8.936 9767 8.938 4458 || 8.939 91oo 8.941 3694 || 24 8.934 o!?5 8.935 5274 || 8.937 ool 3 8.938 4703 || 8.939 9344 i 8.941 § 23 8.934 of 32 8.935 5520 | 8.937 oz.58 8.938 4947 | 8.939 9588 8.941 4180 22 8.934 og79 || 8.935 5766 || 8.937 ošo3 | 8.938 5191 || 8.939 9831 || 8.941 4422 || 21 8.934 1226 || 8.935 6orz | 8.937 of48 || 8.938 5436 || 8.94ooo75_|_8,941 4665 | 20 8.934 1472 | 8.935 62.58|| 8.937 o').94 || 8.938 568o 8.94oog18 || 8.941 4908 I9 8.934 1719 || 8.935 6504 || 8.937 1239 8.9335925 | 8.94o oš62 3.9415151 | 18 8.934 1966 8.935 6750 | 8.937 1484 || 8.938 6169 8.940 ošos | 8.9415393 17 8.934 2213 | 8.935 6996 || 8.937 1729 || 8.9386413 | 8.94o 1049 8.9415636 | 16 8.934 2460 | 8.935 7242 | 8.937 1974 8.938 6658 || 8.94o 1292 8.94:1 5879 || 15 8.934 2706 || 8.935 7488 || 8.937 2219 || 8.938.6902 || 8.94o 1536 || 8.941 6121 || 14 8.934 2953 8.935 7733 || 8.937 2464 || 8.938 7146 || 8.94o 1779 || 8.941 6364 || 13 3.934 3200 | 8.9357979 || 8.937 2709 || 3.93.37391 || 3940 zoº.3 ||3:941 % of 12 8.934 3447 || 8.9358225 | 8.937 2955 8.938 7635 | 8.94o 2266 8.941 6849 || 11 8.934 3693 8.935 8471 8.937 32OO 8.938 7879 8.94o 25 Io 8.941 7092 || Io 8.934 3940 || 8.9358717 | 8.937 3445 8.938 8123 8.94o 2753 8.941 7335 9 8.934 4187 || 8.9358963 || 8.937 3690 8.9388368 8.940 2997 || 8.941 7577 8 8.934 4433 || 8.935 92.09 || 8.937 3935 8.938 8612 8.940 3240 8.941 782O 7 8.934.468o 8.935 94.55 8.937 4180 8.938.8856 8.940 3483 8.941 8063 6 8.934 4927 | 8.935 97oo 8.937 4425 || 8.938 910o 8.94o 3727 8.941 8305 || 5 8.934 5173 || 8.935 99.46 8.937467o | 8.938 9344 8.94o 3970 8.941 8548 || 4 3.934 5420 8.936 or 92 8.937.4915 8.938 9588 || 8.940 4214 || 8.941 8790 3 8.934 5667 8.936 od 38 8.937516c 8.938 9833 8.94o 4457 8.941 9033 || 2 8.934 5913 || 8.936 of 84 || 8.937 5405 || 8.939 Coſ" | 8.940 47CO | 8.94I 92.75 I 8.934 616o 8.936 Og29 8.9375650 | 8.939 og21 | 8.940 4944 8.941 9518 O 5’ 4’ - 3’ | 2’ 1’ O’ &AW | cotg85° LENGTH of CIRCULAR ARCS FOR THE RADIUS 1. 288 |- DEGREES. MINUTE8. SECONDS. f oooooooo 6o" | 1.047 1976 || 120° 2.094,3951 | o' | oooooooo o' O.OOO OOOO O.OI74533 61 | 1.064 6508 || 12I 2.III 8484 || 1 || O.oOo . I o.ooooo.48 o.O34 9066 62 | 1.082 IO41 || 122 || 2.129 3017 || 2 | oooo 581 2 o.oOo. CoQ7 o.O52. 3599 63 | 1.099 5574 || 123 2.146 755o || 3 || O.Ooo 8727 || 3 || o.oOo or 45 o.O698132 64 | 1.117 oro7 | 124 || 2.1642O83 || 4 || O.Oor 1636 || 4 || O.Ooo or 94 o.o87 2665 65 'I 1344640 || 125 2.181 6616 # C.OOI 4544 || 5 || O.OOO O242 O.I.O471.98 66 | 1.151 9173 || 126 2.199 1149 o.OOI 7453 || 6 || O.Ooo c291 O.I22. I73O 67 | 1.1693706 || 127 2.216 5682 % o.Ooz og62 || 7 | o.oOo § O.I39 6263 68 | 1.1868239 || 128 2.234 oz.14 o.Ooz 3271 || 8 || o.oooo;8 O.157 of 96 69 | 1.204 2772 | 129 2.251 4747 || 9 || O.OO2 6180 || 9 || o.oOo O436 O.I'745329 7o | 1.221 7305 || 130 2.268 928o | Io o.oO2 9089 || Io o.oOo o485 O.191 9862 71 | 1.239 1838 || 131 2.286 3813 || 11 || O.Oo3 1998 || 11 o.oOo oš33 O.209 4395 72 | 1.256 6371 || 132 2.303 8346 || 12 o.oO34 12 o.oOo oš82. o.226 89.28 73 || 1.274 ogo4 || 133 2.32 I. 2879 || 13 o.oO3 7815 || 13 o.oOO of 30 O.2443461 74 | 1.291 5436 || 134 2.338 7412 || 14 ooo.4 of 24 || 14 o.oOo oã79 o.261 7994 75 | 1.308 9969 || 135 | 2.356 1945 || 15 o.oO4 3633 || 15 o.oOoo727 O.279 2527 76 | 1.326 4502 || 136 2.373 6478 || 16 o.oO4 6542 | 16 o.oOo of 76 o.296 7060 77 | 1.343 9035 | 137 || 2.391 IoII | 17 | O.OO4 9451 || 17 | O.Ooo o?24 O.314 I593 78 | 1.361 3568 || 138 2.408 5544 18 o.o.o.5 2360 | 18 o.oOo o873 o:331 6126 79 | 1.378.8101 || 139 2.426 OO77 || 19 o.o.o.55269 || 19 o.oOoog21 o,349 obj9 8o | 1.396 2634 || 14o 2.443 4610 || 20 o.oOS 8178 || 20 o.oOoog'70 o,366 5.191 81 | 1.413 7167 || 141 2.460 9142 21 o.oO6. Io97 || 21 o.oOo. 1018 o.383 9724 82 | 1.431 17OO || 142 2.478.3675 || 22 o.oO6 3995 || 22 o.oOo Io97 O.4OI 42.57 83 | 1.4486233 || 143 || 2 495 8208 || 23 o.oof 6904 || 23 o.oOo. 1115 o,418 8790 84 | 1.466 of66 || 144 || 2.5132741 || 24 o.oob. 98.13 || 24 o.oOo. 1164 o,436 3323 85 | 1.483.5299 || 145 || 2.539 7274 || 25 o.oo7 2722 || 25 o.oOo. 1212 o.453 7856 86 | 1.5oo 9832 || 146 2.548 1807 || 26 o.oo7 5631 || 26 o.oOo. 1261 O.471 2389 87 | 1.5184364 || 147 2.565 634o 27 o.oo7854o 27 o.oOo. 1309 o.4886922 88 I.535 8897 || 148 2.583 ob'73 || 28 o.o.o.8 i449 || 28 o.oOo. 1357 o.5of 1455 89 || 1.553 343o 149 || 2.600 5406 || 29 || O.Oo3 4358 || 29 o.oOo. 1406 O.5235988 90 | 1.570 7963 || 150 | 2.617 99.39 || 3o o.oo8 7266 || 3o o.oOo. 1454 O.541 OS2I 91 | 1.588 2496 || 15I 2.635 4472 || 3 I o.oO9 or 75 || 31 o.oOo. 1503 o.558 5054 92 | 1.605 7029 || I52 2.652 9005 || 32 || O.oO9 3084 || 32 o.oOo. 1551 O.575 9587 93 || I.623 1562 || 153 2.670 3538 || 33 o.oOº. 5993 || 33 o.oOo. 16oo O.5934 II.9 94 | 1.640 6095 || 154 || 2.687 8070 || 34 o.oO98902 || 34 o.oOo. 1648 o,61o 8652 95 | 1.658 of 28 155 2.705 2603 || 35 o.o.o 1811 || 35 | O.oOo. 1697 o.6283185 96 | 1.6755161 || 156 || 2.722 7136 || 36 o.oro 4720 || 36 o.oOo. 1745 o,645 7718 97 | 1.692 9694 || 157 2.74o 1669 || 37 o.oro 7629 |37 || o.oOo. 1794 O.663 2251 98 || 1.710 4227 | 158 2.757 62O2 || 38 || o.o.11 o'S38 || 38 o.oOo. 1842 o.68o 6784 H 99 || 1.727 876O | 159 2.775 of 35 | 39 o.o. 1 3446 || 39 o.oOo. 1891 O.698 1317 | Ioo | 1.7453293 || 16o 2.792. 5268 || 4o o.o. I 6355 || 4o o.oOo 1939 o.7.155850 || IoI | 1.762 7825 | 161 || 2.809 98or || 41 || o.o. I 92.64 || 41 o.oco 1988 o,733 oz83 || Ioz | 1.78o 2358 || 162 2.827 4334 || 42 o.or 2 2.173 || 42 o.oOo 2036 o.750 4916 || Io9 | 1.797 6891 | 163 2.844 8867 || 43 o.o.25oS2 || 43 o.oOo 2085 o,767 9449 || IO4 | 1.815 1424 || 164 2.862. 34oo || 44 o.o.2 7991 || 44 o.oOo 2133 o.7853982 || IoS | 1.832 5957 | 165 2.879 7933 || 45 o.o.3 ogoo 45 o.oOo 2182 o.8oz. 8515 . Iob | 1.850 oºgo 166 2.897 2466 || 46 o.o.33809 || 46 o.oOo 2230 o.82O 3o47 || IoT | 1.867 5023 167 2.914 6999 || 47 o.or 3 6717 || 47 o.oOo 2279 o.837 758o | Io9 | 1.884 9556 || 168 2.932 1531 || 48 o.o.3 9626 || 48 o.oOo. 2327 o.855 2 II3 || Io9 | 1.902 4089 || 169 2.949 6064 || 49 o.o.14 2.535 || 49 || O.Ooo 2376 o.872 6646 || IIo | 1.919 8622 || 17O 2.967 oš97 || 5o o.o.4 5444 || 5o o.oOo.2424 o,890 II79 || III | 1.937 3155 || 171 || 2.984 5130 || 51 o.o.14 8353 || 51 o.oOo.2473 O.907 5712 || II2 | 1.954. 7688 || 172 3.ool 9663 52 o.or 5 1262 || 52 o.oOo 2521 o,925 oz.45 || II3 | 1.972 2221 || 173 || 3-ol 94.196 || 53 o.o. 54.171 || 53 o.oOo. 2570 o,942 4778 || 114 | 1.989 6753 || 174 || 3.036 8729 || 54 o.o. 5708o || 54 o.oOo 2618 o,959 93II II5 || 2.007 1286 || 175 3.054, 3262 || 55 o.o. 59989 || 55 o.oOo 2666 o,977 3844 II6 || 2.0245819 || 176 || 3.071 7795 || 56 o.oró 2897 || 56 o.oOo 2715 o,994.8377 || 117 | 2.042 og52 || 177 || 3.089 2328 || 57 o.o.65806 || 57 o.oOo. 2763 1.012 29Io | II8 || 2.059 4885 || 178 || 3.1066861 || 58 o.oré 8715 58 o.o.o.o 2812 I.O29 7443 || II9 || 2.076 9418 179 3.124 1394 || 59 o.or 7 1624 || 59 o.oOo 2860 1.047 1976 || Izo 2.094 3951 | 18O 3.1415927 | 6o o.o.17.4533 6o oooo 2909 * *-*. *w- III. LOGARITHMS OF THE TRIGONOMETRICAL F U N C T I O N S F. R O M T E N TO T E N S E C O N D S. º 0° Sin Tang d. c. 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O.263 OT94 o.263 oz.94 o.262 97.93 o.262 92.92. o.262 8792 9.943 4057 9.943 3942. 9.943 3827 9.943 3712. 9.943 3597 o.262 82.91 9.943 3482 o.262 7790 o.262 7290 o.262 6789 o.262 6289 o.262 5788 9.943 3367 9.943 3252. 9.943 31.38 9.943 3O23 9.943 29O7 o.262 5288 9.943 2.792. o.262 4788 o.262 4287 o.262 3787 o.262 3287 o.262 2.786 9.943 2677 9.943 2562. 9.943 2.447 9.943 2332. 9.943 22 I7 'o.262236 9.943 21oz. II4 115 II4 II4 II5 II4 II 5 II4 II4 II 5 II 4 II.5 II.4. II.5 II4 1 I5 II4 II5 II4 II.5 II5 II4 II 5 II4 II 5 115 II4 II5 II5 II5 II.4. II 5 II5 II4 II.5 II 5 II5 II 5 I 15 II.4. I 15 II.5 II 5 II 5 II 5 II 5 II 5 II 5 II 5 II5 I I4 115 116 II 5 II 5 II.5 115 II 5 II5 II5 29 28 27 25 24 23 22 21 20 Cos Cotg d. e Tang Sin * d. 501 $o.1 (Gºsº 156.5 : : 4e^ 45°-9 15o.o 26GeO 25o.o 3oo.o 350.o 4oo.o 456.o 2: 77.4 3}r 16.1 4|154.8 | 5 || 93.5 6|237.2 #...? 9.343.3 61° 462 28° 384 8-4 # 1 15-2 153-6 192.o ## o7.2 ## T 2, 3 4 # 7 3 9 - - - - - - - Sin Tang Cotg Cos 9.68o 9816 9.681 ozon 9.681 o586 9.681 o971 9.681 # - 9.681 1741 | 9.681 2126 9.681 2511 9.681 2 ## - 9.681 32 9.681 3665 9.681 4049 9.681 4434 9.681 4819 9.681 52o3 9.681 5588 9.681 5972 9.681 6356 |3 9.681 6741 9.681 7125 9.681 75o9 ## 94 9.681 # 9.681 8662 9.681 9o46 .681 943o # # 9.682 # 9.682 o582 9.682 o966 9.682 1349 | 9.682 1733 9.682 2117 9.682 25o1 9.682 2884 9.682 3268 | 9.682 3651 em-ºn-a-aan-a-. | .682 4o3 # # 9.682 48o2 9.682 # 9.682 556 9.682 5952 9.682 6335 9.682 6718 9.682 71o1 9.682 7484 9.682 7867 9.682 825o 9.682 8633 to | 9.682 9o16 9.682 93 9.682 9782 9.683 o165 9.683 o548 9.683 o93o 9.683 1313 9.683 1696 9.683 2o78 9.683 2461 9.683 2843 9.737 7714 9.737 8214 9.737 8714 9.737 9214 9.737 9715 9.738 o215 9.738 o715 9.738 12.15 9.738 17.15 9.738 22.15 9.738 2715 9.738 3215 'l o.262 2286 o.262 1786 o.262 1286 o.262 o786 o.262 o285 o.261 9785 9.943 2Io2 9.943 # 9.943 1872 9.943 1757 9.943 1641 9.943 1526. o.261 9285 9.943 1411 o:261 8785- o.261 8285 o.261 7785 o.261 7285 o.261 6785 9.943 1296 9.943 1181 9.943 ro65 9.943 O95O 9.943 o835 9.738 3714 9.738 4214 9.738 4714 9.738 52 r4 9.738 5714 9.738 6213 9.738 6713 9.738 7213 9.738 7712 9.738 8212 9.738 8711 9.738 9211 9.943 O72O # 6286 o:261 5786 o.261 5286 o.261 4786 o.261 4286 o.261 3787 9.943 o6o4 9.943 o489 9.943 O374 9.943 o258 9.943 o143 o..261 3287 9.943 oo28 o.261 278 o.261 # o.261 1788 o.261 1289 o.261 o789 9.942 9912 9.942 9797 9.942 9682 9.942 9566 9.942 9451 9.738 971o 9.739 o2Io 9.739 o7o9 | 9.739 I 9.739 # 2739 *7 | 9.739 27o7 9.739 32o6 9.739 37o5 9.739 42O5 9.739 47O4 9.739 52o3 o.261 o29o 9.942 9335 o.26o 979o o.26o 9291 o.26o 8791 o.26o 8292 o.26o 7793 9.942 922o ##### 9.942 8989 9.942 8874 9.942 8758 o.26o 7293 9.942 8643 o.26o 6794 o.26o 6295 o.26o 5795 o.26o 5296 o.26o 4797 9.942 8527 9.942 8412 9.942 # 9.942 818o 9.942 8o65 9.739 57o2 9.739 62o1 9.739 67oo 9.739 719 9.739 769 9.739 8197 o.26o 4298 9.942 7949 o.26o 3799 o.26o 33oo o.26o 28o1 o.26o 23o2 o..26o 18o3 9.942 7834 9.942 7718 9.942 76o2 9.942 7487 9.942 7371 9.739 8696 o.26o 13o4 9.942 7255 9.739 9195 9.739 9694 9.74o oI93 9.74o o692 9.74o II9o o.26o o8o5 o.26o o3o6 o.259 98o7 o.259 93o8 o.259 881o 9.942 714o 9.942 7o24 9.942 69o8 9.942 6793 9.942 6677 9.74o 1689 499 'o.259 8311 9.942 6561 9.74o 2188 9.74o 2687 9.74o 3185 9.74o 3684 9.74o 4182 499 499 498 49 49 o.259 7812 O.259 7313 o.259 6815 o.259 6316 o.259 5818 9.942 6445 9.942 633o 9.942 6214 9.942 6o98 9.942 5982 9.74o 4681 499 O.259 53 I9 9.942 5866 9.74o 518o 9.74o 5678 9.74o 6177 | 9.74o 6675 9.74o 7173 9.74o 7672 499 498 499 498 498 499 o.259 482o o.259 4322 o.259 3823 O.259 3325 o.259 2827 9.942 5751 9.942 5635 9.942 5519 9.942 5493 9.942 5287 o.259 2328 9.942 5171 I15 115 116 115 115 I15 RI II II5 II5 I15 116 I15 115 116 I I5 | I15 116 II5 II5 116 115 116 II5 II5 116 II5 116 115 116 115 116 I15 I 16 II5 116 116 II5 116 II5 116 116 II5 116 I16 116 II5 116 116 116 116 II 5 116 116 116 116 116 19 18 17 16 15 14 13 12 11 10 Cos Cotg d. c. Tang Sin 61° 28° 463 Sin Tang d. c. 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II 17 9.742. 1614 9.742. 2 II2. 9.742. 2609 o.257 98.78 O.257 # I o.257 8883 o.257 8386 o.257 7888 9.942 2269 9.942. 2153 9.942 2.037 9.942 IQ21 9.942 3. O.257 7391 9.942 1688 9.742 3PO7 9.742 3604 9.742. 4IO2 9.742. 4599 9.742. 5 o,257 6893 o,257 6396. O.257 § o,2575401 O.257 4904 9.942 I572. 9.942 i455 9.942. I339 9.942. I22 9.942 II 9.742.5594 497 o,257.4406 9.942 O290 9.742 bogI 9.742. § 9.742. 7085 9.742 7583 9.742 808o 497 497 497 O.257 3909 o,257 3412, o.257 29.15 O.257 2417 O.257 1920 ::::::: .942 O757 9.942 of 41 9.942 oš24 9.942 ogo& 9.742.8577 497 o,257. 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TABLE FOR THE CONVERSION OF SIDEREAL TIME || INTO MEAN TIME. 2. TABLE FOR THE CONVERSION OF MEAN TIME HNTO SIDEREAL TIME. 3. TABLES OF REFRACTION. . CONSTANTS 4 Conversion of SIDEREAL TIME INTo MEAN roſe. * * | * | * | - | -º-º-º- ------ -º- * | h in s h s | R m ; § In 9 s ºn S 5 ºn ; O O. O. 6" ": 12 12 29 18 18 44 o.oO o O o.5o 3 3 | I | O 6 6 || 6 12. 21 12 18 35 | 13 24 5o oo: o 4 O.5I 3 7 2 C I 2 I 2. 6 18 27 | 12 24 42 18 3o 56 o.O2 o 7 || O.52 || 3 Io 3 o 18 19 || 6 24 33 12 30 48 18 37 2 o.og o 11 o.53 || 3 14 4 o 24 25 || 6 3o 4o | 12 36 54 18 43 9 || O.O4 o 15 o.54 || 3 18 5 O 3o 31 6 36 46 | 12 43 o 18 49 I5 o.O5 o 18 o.55 || 3 2 1 6 o 36 37 || 6 42. 52 || 1 2 49 7 | 18 55 2 I océ 32. o.56 || 3 25 $ o 42 44 6 48 58 12 55 13 19 1 27 o.o'7 o 26 O.57 3 29 o 48 5o 6 55 4 || 13 I 19 19 7 34 || o.o.8 o 29 o.58 || 3 32 9 o 54 56 || 7 || 1 || 13 7 25 | 19 13 40 || oc9 o 33 o.59 || 3 36 Io | I I 2 || 7 7 17 | 13 13 31 19 19 46 o.1o o 37 o.6o || 3 4o I 7 9 || 7 13 23 13 19 38 19 25 52 o. 1 1 o 4o o.61 | 3 43 1 13 15 7 19 29 || 13 25 44 | 19 31 59 o.12 o 44 o.62 || 3 47 I 19 21 7 25 36 13 31 50 19 38 5 o.13 o 48 o.63 || 3 51 I 25 27 || 7 31 42 || 13 37 56 || 1944 II | c.14 o 51 o.64 || 3 54 31 34 || || 37 33 º 44 °3 | 1653 tº ºf o 35 | c.65 || 3 # I 37 4o || 7 43 54 || 13 50 9 19 56 23 o.16 o 59 o.66 || 4 2. 1 43 46 || 7 5o I 13 56 15 20 2 39 o.17 1 2 o.67 4 5 I 49 52 || 7 56 7 || 14 2. 21 20 8 36 o.18 1 6 o.68 4 9 I 55 59 8 2 13 || 14 8 28 20 14 42 o.19 || 1 Io o.69 || 4 13 2 2 5 || 8 819 || 14 14 34 || 29 20 48 o.20 || 1 || 3 |_o.70 || 4 16 2 8 II 8 14 26 || 14 20 4o 20 26 55 || 0.21 || 1 || 7 || o.71 || 4 zo 2 I 4 I 7 8 20 32 14 26 46 20 33 I O.22 I 2 I O.72 4 2 2. 2. O 2. 8 26 38 14 32 53 20 39 7 O.23 I 24 || O.73 || 4 27 3 26 39 $ 33 44 14 38 59 29 45 13 o.24 1 28 o.74 || 4 31 2 32 36 8 38 51 | 1.4 45 5 | 20 5 1 20 O.25 I 32 || O.75 || 4 35 2 38 42 | 8 44 57 | 1.4 51 11 20 57 2. o.26 I 35 | O.76 || 4 38 27 || 2 44 49 8 51 3 14 57 18 2 I 3 32 o.27 | 1 39 o.77 || 4 42 28 2 5o 55 8 57 9 15 3 24 21 9 38 o.28 43 o.78 4 46 29 2 57 I 9 3 16 || 1 5 9 3O || 2 | I 5 45 O.29 I 46 O.79 4 49 Bel-i 3–1–0–9 º' is is 3-1 i = , >, 5' o' |5'20"|5'4o"| 6’ o' 6'20"|6'40"| 7'o' º 7'40"| 8 o’ 8'20"|8’40” 9 o' #3 -j- || -- —H· -H | -- || -- I -H •+ i + 1 + i + | + || -- 37 o 39.6 423 45: 47.8 50% 53.5 563 59% 62.2 652 68% 1112 | – 16” 35.2 | 37.7 | 40.3 || 42.9 || 45.5 |48.2 || 50.9 53.6 |56.4 || 59.2 || 62.0 | 64-9 || 1 7.8 – 15 33.5 || 35.8 38.3 | 40.7 || 43.2 |45.8 || 48.3 || 50.9 53.6 || 56.2 58.9 || 61.7 || 1 4.4 – 14 31.7 34.o 36.3 || 38.6 || 41.0 |43.4 || 45.8 || 48.3 59.8 || 53.3 55.9 58.4 | I 1.1 || – 13 3o.o. 32.1 || 34.3 || 36.5 | 38.8 |4I.o 43-3 || 45.7 |48.o || 50.4 || 52.8 || 55.3 57.7 – 12 28.3|_3o.3 ||324 || 344, 36.6|38.7 || 49.9| 43.145.3 || 47.5 || 49.8 || 52.1 || 54.5 II 26.6 28.5 || 30.4 || 32.4 || 34.4 || 36.4 || 38.4 | 40.5 42.6 || 44.7 || 46.8 49.o 5.I.2 || – Io 24.9 || 26.7 | 28.5 || 30.3 || 32.2 || 34.1 || 36.9 || 37.9 |39.9 || 41.9 || 43.9 || 45.9 48.ol — 9 23.3 24.9 || 26.6 || 28.3 30.1 31.8 || 33.6 || 35.4 |37.2 || 39.1 || 41.0 || 42.8 44.8 || – 8 21.6 || 23.2 24.7 || 26.3 || 27.9 |29.6 || 31.2 32.9 |34.6 || 36.3 || 38.1 || 39.8 4.1.b – 7 20.0 21.4 22.9 ſ 24.3 25.8 27.4 || 28.9 || 39.4|32.o 33.6 ſ 35.2 36.8 38.5 || – 6 18.4 | 19.7 |21.o 22.4 || 23.8 || 25.1 || 26.5 28.0 |29.4 || 30.9 || 32.4 || 33.9 35.4 || – 5 16.8 § 19.2 zo.4 21.7 || 23.0 || 24.2 25.5 26.9 || 28.2 ſ 29.5 || 3o.9 32.3 - 4 15.3 | 16.3 17.4 || 18.5 | 19.7 20.8 || 22.0 || 23.1 | 24.3. 25.5 26.8 28.o 29.3 – 3 13.8 14.6 15.6 || 16.6 17.6 | 18.7 19.7 29.8 21.8 22.9 || 24.O || 25.1 26.2 – 2 12.2 13.o 13.8 || 14-7 || 15.6 | 16.5 17.5 | 18.4 || 19.4 || 20.3 21.3 22.3 23.3 I — I Io.6 11.3 | 12.1 | 12.9 || 13.6 || 14.4 || 15.2 | 16.1 | 16.9 || 17.7 | 18.6 | 19.4 2O.3 O 9.O .7 || 10.3 || 11.0 | 11.7 | 12.4 || 13.o 13-7 || 14-5 || 15.2 | 15.9 | 16.6 I 7.4 || -- I 7.5 .1 || 8.6 || 9.2 | 9.7 | Io.3 Io.9 II.5 | 12.o | 12.6 || 13.3 | 13.9 I4.5 + 2 6.o 6.5. 6.9 7.4 7.8 8.3 8.7 9.2 9.7 || 10.1 || 10.6 II.I II.6 || -- 3 || 4.6 4.9 || 5.2 || 5.6 ſ 5.9 || 6.2 6.6 | 6.9 || 7-3 || 7.7 | 8.o 8.4 8.8 || -- 4 3.1 || 3-3 || 3.5 || 3.8 || 4-o] 4-2 || 4-5 || 4-7 || 5.0 5.2 ſ 5.4 || 5.7 6.o. -- 1.6 | 1.8 | 1.9 2.O || 2.I I 2.2. 24 || 2.5 || 2.6 2.8 ſ 2.9 || 3.o 3.2 || -- # O.2 || O.2 O.2 O.2 || O.3 || O.3 O.3 || O-3 || O.3 O-3 || O.4 || O.4 o.4 || + 7 I.2 I.3 || I.4 1.5 | 1.6 || 1.7 I.8 | 1.9 || 2.0 || 2.1 || 2.1 2.2 23 + 8 2.7| 2.8 || 3:0 || 3:2]_34 || 3.6 3.8 || 4.0 || 4-2 || 4-4 || 4.6 || 4.8 5.o I + 9 4.1 4.4 || 4.6 || 4.9 || 5.2 | 5.5 5.8 6.1 6.5 6.8 || 7.1 7.4 7.7 + Io 5.5 5.8 6.2 6.6 7.o 7.4 7.8 8.3 8.7 9.I 9.5 Io.o IO.4 + II 6.8 || 7.3 || 7.8 8.3 8.8 9.3 9.8 || Io.4 Io.9 || 11.4 | 12.0 | 12.5 I3.O || -- 12 8.2 8.8 9.4 Io.o 10.6 11. II.8 || 12.4 13.1 13.7 14.3 15.o I5.7 || + 13 9.6 | Io.2 Io.9 II.6 || 12.3 13.o || 13.8 14.5 15.2 | 16.0 | 16.7 17.5 18.2 || + 14 Io.9 II.7 | 12.5 13-3 || 14.1 || 14.9 || 15.7 | 16.5 17.4 || 18.2 | 19.1 | 19.9 20.8 || -- 15 12.2 | 13.1 14.O || 14.9 || 15.8 16.7 || 17.6 | 18.5 | 19. 2O4 21.4 || 22.4 23.4 || + 16 13.6 || 14.5 | 15.5 | 16.5 17.5 | 18.5 || 19.5 20.5 21.6 || 22.6 || 23.7 | 24.8 25.9 || -- 17 14.9 15.9 || 17-O | 18.1 | 19.2 20.3 || 21.4 22.5 23.7 || 24.8 || 26.0 27.2 || 28.4 || -- 18 16.2 | 17-3 | 18.5 | 19.6 || 20.8 22.o 23.3 || 24.5 |25.7 || 27.0 | 28.3 29.5 3o.9 || -- 19 17.4 | 18.7 | 19.9 || 21.2 22.5 |23.8 || 25.1 || 26.4|27.8 || 29.1 || 30.5 || 31.9 33.3 || -- 20 18.7 20.1 21.4 || 22.8 24-1 || 25.5 || 26.9 || 28.4 || 29.8 || 31.3 32.7 || 34.2 35.7 I + 21 2O.o 21.4|22.8 || 24.3 || 25.8 || 27.2 28.8 || 3o.3 || 31.8 || 33.4 34.9 || 36.5 38.1 ! -- 22. 21.2 22.7 || 24-3 || 25.8 27.4 28.9 || 30.6 || 32.2 33.8 35.5 || 37.1 || 38.8 40.5 ! -- 23 22.5 || 24.1 25.7 || 27-3 || 29.9 |30.6 || 32.3 || 34.1 |35.8 || 37.5 39.3 || 41.1 42.9 || + 24 23.7 254 27-1 || 28.8 30.6 |32.3 || 34.1 35.9 |37.7 || 39.6 41.5 43.4 || 45.3 |+ 25 24.9 26-7 || 28.5 || 30-3 || 32.1 |34.o || 35.9 || 37.8 || 39.7 || 41.6 || 43.6 45.6 47.6 + 26 26.1 28.0 29.9 || 31.8 || 33.7 |35.6 || 37.6 || 39.6 41.6 || 43.7 45.7 47.8 49.9 || -- 27 27.3 || 29-3 || 31.2 || 33-2 || 35.2 37-3 || 39.3 || 41.4 |43.5 || 45.7 * 5o.o 52.2 || + 28 TABLEs of REFRAotion. TABLE II. Correction For TrMPERATURE. MEAN REFRACTIon. ă ă g w & & * • 1 * fy g fy * * * º f & * & w O 33 9 o' 9 20 9 4o | Io o to 2c IO 4o | II o II 20 | II'40". 12 o' | 12 4o #: w *}- + i + +- —H. + —H· —H —H. -H- -H- – 16 1'11%. 1143 117: 1.20% 1.23% 1.27% 130's 1333 1.37% 1.40% 1'44'. - 15 || 1 7.8 1 16.8 1 13.8 || 1.16.8 || 1 19.8 ; 123.o. 1 26.1 || 1 29.3 || 1 32.5 || 1 35.8 || 1 39.1 - 14 1 4.4 1 7.2 | 1 Io.1 || 1 12.9 || 1 15.8 || 1 18.8 || 1 21.8 || 1 24.8 || 1 27.9 1 31.0 | 1 34.1 – 13 || 1 1.1 | 1 3.7 || 1 6.4 1 9.1 ! I 11.9 || 1 14-7 || 1 17.5 | 1 20.4 || 1 23.3 || 1 26.2 | 1.29.2 – 12 57.7 || 1 o.2 I 2.8 I 5.4 |:1. 8.o 1 Io.6 I. 13.3 I 16.o I 18.7 || 1 21.5 1 24.3 -- " i 54.5 || 56.8 || 59.2i + 1.6l 4.1 |f 6.6l 9: li in 7 || 1 14.2 || 16.9 |r 19.5 – Io 51.2 53.4 55.7 _57.9 1. o.2 | 1 2.6 || 1 5.6; i. 7.4 || 1 9.8 || 1 12.3 |114.8 – 9 || 48.0 5o.o 52.1 || 54.3 56.4 58.6 || 1 O.9 I 3-1 || 1 5.4 || 1 7.7 || 1 Io.o – 8 || 44.8 46.7 || 48.7| 50.7 52.7 54.7 || 56; 58.9| 1 i.o. 1 3.2 || 1 5.4 – 7 || 41.6 || 43.4 || 45.2 || 47.1 || 49.6 50.9 || 52.8 54.7 56.7. 58.7 || 1 o.7 – 6 || 38.5 49.2 41.8 || 43.5 45.3 47.o. 48.8 59.6 52.4|| 54.3 || 56.2 – 5 35.4| 36.9 38.5 || 49.9 || 41.6 43.2 44.9 || 46.5 || 48.2 || 49.9| 51.6 4 32.3 33.7 35.1 || 36.6 || 38.0 39.5 || 41.0 || 42.5 44.o. 45.6 47.2 – 3 || 29.3 30.5 ! 31.8 || 33-1 || 34.4 35.8 || 37.1 38.5 39.9 || 41.3 || 42.7 – 2 || 26.2 27. 28.5l 29.7 || 30.9 || 32.1 || 33-3 || 34-5 35.8 || 37.o 38.3 _ _ _*3-3 |_24.3 |_*5-3 26.3 || 27.4 28.4|_29.5 |_39.6 || 37.7 || 32.8 || 34.6 ol_ºo.3|_2+f_32-il 23-ol 23.9| 24.3 °58' 26-7. 27.7l 38.7 || 29.7 + 1 || 17.4 || 18.1 | 18.9 || 19.7 20.5 21.2 22.1 22.9 T23.7| 24.5 T 25.4 + 2 || 14.5 15.1 | 15.7 | 16.4 17.6 || 17.7 | 18.4 || 19.i | 19.8 || 29.4| 21.2 + 3 || II. 12.1 12.6 || 13.2 | 13.7 14.2 || 14.7 15.3 15.8 || 16.4 17.0 + 4 8.8 9.2 9.5 9.9 10.3 || 10.7 || II. I 11.6 12.o. 12.4"| 12.8 + 5 6.o 6.2 6.5 6.8 7.o 7.3 7.6 7.9 8.1 8.4 8.7 -- 6 || 3.2 3-3 || 3–5 |. 3.6 3.7 3.9 || 4.0 || 4-2 || 4.4 || 4.5 4.7 + 7 O.4 C.4 O.S O.5 O.5 O.5 O.5 o.6 o.6 o.6 O.7 + 8 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.o 3. I 3.2. 3.3 + 9. 5.9 |_5.3 |_5.5 5.7 5.9 6. I 6.4 6.6 6.3 7. t 7.3 —H. I. O 7.7 8.1 8.4 || 8.7 9.1 9.4|_98 |_io.1 ſºo's] no.8 i 11.2 -- I 1 - 10.4 10.8 11.3 || 11.7 12.2 | 12.7 || 13.1 | i3.6 || 1.4.1 || 14.6 15.1 + 12 || 13.0 13.6 || 14.2 || 14-7 || 15.3 15.9 || 16.5 17.1 17.7 | 18.3 | 18.9 + 1 3 || 15.7 | 16.3 17.o 17.7 | 18.4 | 19.1 || 19.8 20.5 21.2 22.6 22.7 | + 14 18.2 | 19.0 | 19.8 20.6 21.4 22.2 23.1 23.9 24.8 || 25.6; 26.5 + 15 | 20.8 21.7 22.6 || 23.5 24.4; 25.4 26.3 27.3 28.2 || 29.2 30.2 + 16 || 23.4 24.4 25.4 26.4 27.4 28.5 .29.5 || 30.6 || 31.7| 32.8 33.9 - I 25.9 27.9 28. I 29.2 30.4 31.5 32.7 33.9 35.1 || 36.2 37.6 -- I 28.4 29.6 || 30.8 || 32.1 || 33-3 || 34.6 || 35.9 |! : 37.2 38.5 39.8 || 41.2 + 19 || 309|| 32° 33.5 349_3%. 37%. 39° 49.4|_41.9l 433. 44.8 -- ao || 333 || 34.7 36.2 || 37.6 39.1 || 4o.6 || 42.1 43.6 || 45.2 || 46.7 48.3 + 21 #. 37.3 38.8 || 40.4 42.9 43.6 || 45.2 46.8 || 48.5 50.1 || 51.8 + 22 || 38.1 - 39.8 || 41.4 || 43-I 44.8 || 46.5 || 48.2 5o.o. 51.7 53.5 55.3 + 23 | 40.5 42.3 || 44.0 45.8 47.6 49.4|| 51.2 53.1 || 55.0 || 56.9 || 53.8 + 24 || 42.9 || 44.7 46.6 || 48.5 50.4 52.3 54.2 56.2 58.2 || 1 c 2 | 1 2.2 + 25 || 45.3 || 47.2 49.2 || 51.1 53. I 55.2 57.2 59.3 || 1 1.4 || 1 3.5 || 1 5.6 + 26 47. 49. 51.7 53.8 55.9 58.o. 1 o.2 | I 3-3 || 1 4.5 || 1 6.7 || 1 9.0 + 27 || 49.9 || 52.1 54.2 56.4 58.6 I o 8 || 1 3.1 5.3 1 7.6 || 1 Io.o 1 12.3 -- 28 52.2 54.5 56.7 || 59.0 | 1 1.3 I 3 6 I 6.o I 8.3 || 1 Io.7 || 1 13.2 || 1 15.6 TABLEs of REFRACTION. ARGUMENTs: ExtERNAL THERMoMETER AND MEAN REFRACTION. MEAN REFRACTION. * > 12'40"| 13 o' |13'zo"|13'40"|14 o’|14'26"|14'40"| 15 o' | 15'20"|15'49" | 16 o' #3 H £3 —F. -H. -Hº- -- -; ~}- —H· -H. -4- -H -- f ſy # ºf A & * ..., & * & * > * £ aſ & ſy * Ay 4 fa A tº o 147.7 || 1 51.3 I 54.9 I 58.5 || 2 2.2 2 6-o 2 9.7 || 2 13.5 2 17.4 || 2 - 1.3 |225.3 || – 16 1 42.5 ! I 45.9 || 1 49.3 | I 52.8 || 1 56.3 | I 59.9 2 3.4 || 2 7.1 2 10.7|2 14.5 || 2 18.2 – 15 1 37.3 || 1 40.6 I 43.8 I 47.1 || 1 50.5 ! I 53.8 1 57.2 2 o.7 2 4.2 || 2 7.7 || 2 I 1.2 – 14 I 32.2 || 1 35.3 || 1 38.4 I 41.5 ! I 44.7 | I 47.9 | I 51.1 || 1 54.3 | I 57.6 || 2 I.o. 2 4.3 || – 13 1 27.2 || 1 30.1 33.o I 36.0 || 1 39.0 | I 42.o | I 45.ol 1 48.1 || 1 51.2 || 1 54.3 || 1 57.5 | – 12 1 22.2 || 1 24.9 || 1 27.7 | I 30.5 || 1 33.3 || 1 36.1 || 1 39.0 || 1 41.9 I 44.8 || 1 47.8 || 1 50.8 – 11 1 17:3| 198|r 224|+ 25.0/1. 27.7 || 3o4 i 33.1 || 1 35.8 || 1 38.5 | 1.41.3 | r 44.1 || – to 1 12.4 || 1 14.8 || 1 17.2 I 19.7 || 1 22.2 | I 24.7 | I 27.2 || 1 29.7 | I 32.3 || 1 34.9 || 1 37.5 – 9 1 7.6 || 1 9.8 1 12.1 I 14.4 || 1 16.7 I 19.0 1 21.3 || 1 23.7 || 1 26.1 || 1 28.6 || 1 31.0 | – 8 I 2.8 I 4.9 || 1 7.o I 9. I I I II.2 I 13.4 # 1 15.6 || 1 17.8 I 20.O || 1 22.3 || 1 24.6 – 7 58.1 || 1 o.o. 1 1.9 || 1 3.9 || 1 5.9 I 7.9 1 9.9 || 1 11.9 || 1 14.o || 1 16.1 || 1 18.2 | – 6 53.4 || 55. I 56.9 58.7 I o.5 1 2.4 1 4.2 I 6.1 | I 8.o I io.o || 1 | 1.9 – 5 48.7 || 50.4, 52.o 53-6 55.3 57.0 ſ 58.7 || 1 O.4 || 1 2.1 | I 3.9 || 1 5.6 — 4 44.2 || 45.6 || 47.1 || 48.6 50.1 || 51.6 53.1 || 54.7 56.3 57.9 || 59.5 | – 3 39.6 49.9 || 42.2 : 44.9 46.3 47.7 || 49.1 | 50.5 || 51.9 || 53.3 2. 35.1 || 36.3 || 37.4 38.6 || 39.8 41.o 42.2 || 43.5 ! 44.7 46.o. 47.3 — I 30.7 || 31.7 || 32.7 33.7 || 34.8 || 35.8 36.9 || 38.0 | 39.1 | 40.2 || 41.3 O 26.2 || 27.1 28.0 28.9 . . 29.8 30.7 || 31.6 32.5 33.4 34.4 || 35.3 + 1 | 21.9 22.6 23.3 24.1 24.8 25.6 26.3 iſ 7.1 27.9 28.7 29.5 + 2 | 17.5 | 18.1 | 18.7 | 19.3 || 19.9 20.5 21.1 || 21.7 22.4 || 23.o. 23.7 + 3 13.3 || 13.7 | 1.4.1 14.6 ſ 15. 15.5 | 16.0 | 16.4 | 16.9 17.4 || 17.9 | + 4 9.o 9.3 9.6 9.9 Io.2 Io.6 Io.9 || II.2 I 1.5 I 1.9 || 12.2 -- 5 | 4.8 5.o 5.2. 5.3 5.5 5.7 5.8 6.o 6.2 6.4 6.6 + 6 || O.7 o.7 o.7 o.8 o.8 o.8 o,8 o.9 O.9 O.9 I.o [ -- 7 3.4 3.6 3.7 .8 3.9 A.O 4. I 4-2 || 4:3 4.4 4.5 + 8 7.5 7.8 8.o .3 8.5 8.7 9.o 9.2 9.5 9.8 || 10.0 + 9 | 11.6 11.9 || 12.3 12.7 || 13.1 | 13.5 13.8 || 14.2 14.6 15.o. 15.4 + 10 15.6] 16.1 | 16.6 17.1 || 17.6 T18.1 TT3.6] 19.2 || 19.7 || 20.2 Tao.8 FT-- 1: 19.5 | 20.2 20.8 21.4 22.1 22.7 23.4 || 24.1 24.7 || 25.4 || 26, 1 } + 12 | 23.4 || 24.2 25.0 || 25.7 26.5 27.3 28.1 || 28.9 29.7 || 30.5 || 31.4| + 13 27.3 28.2 29.1 || 3o.o. 30.9 || 31.8 || 32.8 || 33.7 | 34.7 || 35.6 || 36.6} + 14 31.2 | .32.2 || 33.2 34.2 || 35.3 36.3 37.4 || 38.5 39.5 4c.6 || 41.7 + 15 35.ol 36.1 37.3 || 38. 39. 40.8 42.o. 43.2 44.4 45.6 46.8 + 16 38.8 || 4o.o 41.3 || 42.6 || 43.9 || 45.2 46.5 || 47.8 || 49.2 50.5 || 51.9 + 17 || 42.5 43.9 || 45.3 || 46.7 || 48.1 49.5 51.o. 52.4 53.9 || 55.4 || 56.9 + 18 46.2 47.7 49.2 50.8 5*3. 53.8 55.4 || 57.o 58.6 || 1 o.2 || 1 1.9 + 19 49.9 || 51.5 53.1 54.8 ſ 56.5 53.1 59.8 I 1.5 I 3.3 1 5.o I 6.8 + 20 | 53.5 || 55.3 57.0 | 58.8 || 1 of 1 2.4 || 1 4.2 . I 6.0 I 7.9 || 1 9.7 | I 11.6 + 21 57.1 || 59.o. 1 o.9 || 1 2.8 || 1 4.7 || 1 6.6 I 8.5 || 1 Io.5 1 12.4 || 1 14.4 || 1 16.4 + 22 1 o.7 || 1 2.7 I 4.7 || 1 6.7.| 1 8.7 || 1 10.7 I 12.8 || 1 14.9 || 1 17.0 1 19.1 || 1 #| + 23 1 4.3 || 1 6.3 | I 8.4 || 1 Io.6 || 1 12.7 || 1 14.9 1 17.o. I 19.2 || 1 21.4 || 1 23.7 || 1 25.9% + 24 1 7.8 || 1 10.6|| 1 12.3 14.4 || 16.7 || 1 18.6 21.2|123.6 || 1 25.9| 1 28.3 || 1 36.6 i + 2 1 11.3 || 1 13.6 || 1 15.9 || 1 18.2 || 1 20.6 || 1 23.0 1 25.4 || 1 27.8 || 1 30.3 || 1 32.8 || 1 35.3 : + 26 1 14-7 || 1 17.1 19.6 I 2.2.2] 1 24.5 1 27.0 i 29.5 || 1 32.1 1 34.7 1 37.3 || 1 39.9 + 27 1 18.1 || 1 zo.7 || 1 23.2 1 25.8 || 1 28.4 || 1 31.0 I 33.6 || 1 36.3 I 39.o I 41.7 || 1 44.5 | + 28 | 57o TABLEs or REFRAcrior. TABLE III. Correction Fort HEIGHT or BAROMETER. 3. MEAR REFRACTIox + Cork. TAs. II. § : O zo" o' [º • Jº * Af / CP 2’ o" £ g y {U & & '20" & o” & o" y 20" 3 * 4o 1 o' Ir 20 | I 4o 2 20 |2' 4o 3 o' |3 34 4. 4. 26"3"| 1:1 3.2 || 33 || 44 || 55 | 66 || 7% | 8.8 || 99 || 11% | 12:1 13% 143 4 || I.O 2.1 || 3.1 || 4.2 5.2 || 6.2 || 7-3 || 8.3 § IO.4 II.4 I 2.5 || 13.5 5 || I.O I 2.9 || 3.9 4.9 5.9 6.8 7.8 tº 9.8 10.8 I 1.7 | 12.7 6 o.9 || 1 2 3-7 || 4.6 5.5 | 6.4 || 7-3 8.3 9.2 | Io.I II.O II.9 7 O.9 || 1.7 2. 3.4 || 4-3 5.1 || 6.0 | 6.9 7.7 || 8.6 9.4 || 10.3 || II.1 8 . o.8 | 1.6 2. 3.2 || 4.O 4.8 || 5.6 6.4 7.2 8.o | 8.8 9.6 || Io.4 9 o.7 | 1.5 || 2.2 2.9 || 3.7 || 4.4 || 5.2 5.9 6.6 || 7.4 || 8.1 i 8.8 9.6 1o o.7 | 1.4 2.0 2.7 || 3.4 || 4.1 4.7 || 5.4 6.1 6.8 7.5 8. I 8.8 In o° 1.2 || 3 || 2:5__3-1 || 3:7 || 4:3 || 4.9 || 5.5 || 6.2 || 6.8 || 7.4 || 3:0 27 o | ot, 1.1 | 1.7 || 2.2 || 2:8 || 3-3 || 3.9 || 4.4 L 5.0 || 5.6 || 6′ 6.7 7.2 I .O.5 || I.O I.5 2.O 2.5 || 3-O || 3–5 || 4.O 4.5 5.o 5.5 6.O 6.5 t 2 | c.4 | c.9 || 1.3 | 1.7 | 2.2 || 2.6 || 3.o 3.5 3.9 44 | 4.8 5.2 5.7 s o.4 o.7 | 1.1 | 1.5 | 1.9 2.3 2.6 3.o 3.4 || 3.8 || 4.1 4-5 || 4.9 4 || 0.3 o.6 o.9 | 1.3 | 1.6 1.9 2.2 2.5 2.8 3.2 || 3.5 i 3.8 || 4.1 5 O-3 O.5 O.8 I.O | I.3 I.5 1.8 2.O | *2.3 2.6 || 2.8 || 3.I 3.3 6 o.2 o.4 o.6 | c.8 || 1.6 | 1.2 | 1.4 | 1.6 1.8 ſ 2.0 | 2.2 2.4 2.5. 7 O.I O.3 O.4 O.5 O-7 o.8 o.9 I.I. I.2 | 1.4 || 1.5 1.6 1.8 8 c. I o.I o.2 o.3 o.4 o.5 o.5 o.6 o.7 o.8 o.8 O.9 I.O 9 o.o o.o o.o o. I | O.I O. I O. I O. I O. I | O.2 O.2 O.2 O.2, ~}~ -H •+- *}- +- —H· -- •+- =}- -4- -º- •+- -- Io cºb O. 1 || O.I O.2 o.2 O.3 || O.3 O.4 O.4 || O.5 O.5 O.5 o.6 11 | c. 1 # o.2 o.3 o.4 o.5 o.6 o.7 o.8 I.O I. I I.2. I.3 I.4 28 o oz. O.3 o.5 o.7 o.8 I.O | I.2 I-3 1.5 | 1.7 | 1.8 2.O 2.2. TITC.2 Fo.5 To.7 To.9 || 1.1 | 1.4 || 1.6 || 1.8 || 2.0 || 2.3 || 2.5 || 2.7 || 2.9 2 o.3 o.6 o.9 | 1.2 | 1.4 || 1.7 2.0 || 2.3 || 2.6 2.9 || 3.1 3-4 || 3-7 3 o.4 o.7 | 1.0 | 1.4 1.7 || 2.1 24 2.8 || 3-1 || 3–5 || 3.8 4-2 || 4.5 4 o.4 o.8 1.2 1.6 | 2.o 2.4 2.8 || 3-3 3-7 || 4.1 || 4.5 4.9 5.3 5 || O.5 O.9 I.4 I.9 2.3 2.8 3.3 3.7 4.2 || 4-7 || 5-1 5.6 6.1 6 o.5 I.I 1.6 ſ 2.1 2.6 3.2 || 3-7 || 4-2 4-7 || 5.3 || 5.8 6.3 6.9 % o.6 | 1.2 1.8 2.4 2.9 3.5 || 4. I || 4-7 5.3 || 5.9 || 6.5 7.o .6 O.7 || I-3 1.9 ſ 2.6 3.2 3.9 || 4.5 5.2. 5.8 || 6.5 || 7.1 7.8 -4 9 o.7 | 1.4 || 2.1 || 2.8 || 3.5 || 4-2 || 5.o 5.7 || 6.4 || 7.1 || 7.8 8.5 || 9.2 16 o.8 1.5 2.3 || 3.1 || 3.8 || 4.6 5.4 || 6.1 || 6.9 7.7 8.4 9.2 || Io.o —tº- oš 1.7 2.5 || 3:3_|_4.1 5.o 5.8 6.6 7.4 || 8.3 | 9.1 9.9 || 10.8 29 O || C.9 8 2.7 || 3.5 4.4 5.3 || 6.2 | 7.1 8.o 8.9 9.8 || 10.7 - 11.6 1 | 1.0 . I-9 2.8 || 3.8 || 4-7 5.7 6.6 || 7.6 8.5 | 9.5 | Io.4 || 11.4 | 12.3 2 | 1.o 3.o 3.0 || 4.0 5.0 || 6.9 || 7-1 || 8.1 9.1 | Io. I II.1 | 12.1 || 13.1 1) Before using the table, a correction is required for the height of the barometer. This correction depends upon the attached thermometer, and is taken with the argument t—t from the small table at p. 564. TABLEs of REFRAction. 57 I ARGUMENTS: CorrecteD BAROMETER.") AND MEAN REFRACTION CorrecTED For TEMPERATURE BY TAB. II. MEAN REFRACTIon + Corr. TAB. II. 4'40"|5" o' |5'20"|5"40" 6' 0" |6'20"|6'40"|7'o' |7'20"|7'40"|8'o" | 8'20" | 840" 9'o' 154|| 16.5 17.5 | 18.7 | 19.8|26.9 |zzo 23.1 |24.3 |254 26.5 276 287 || 25.9 14.5 || 15.6 | 16.6 17.7 | 18.7 | 19.8 20.8 || 21.9 22.9 || 24.0 || 25.o 26.1 || 27.2 28.2 13.7 14.7 15.7 | 16.6 || 17.6 | 18.6 | 19.6 || 20.6 21.6 22.6 || 23.6 24.6 25.6 26.6 12.9 || 13.8 || 14-7 || 15.6 || 16.6 17.5 | 18.4 || 19.3 | 20.3, 21.2 22.1 23.1 || 24.0 || 25.o 12.o. 12.9 || 13.7 || 14.6 ſ 15.5 | 16.3 17.2 | 18.1 | 18.9 ºf 19.3 20.7 21.6 22.4 || 23.3 11.2 . 12.O | 12.8 13.6 || 14.4 15.2 | 16.0 | 16.8 17.6 | 18.4 || 19.2 | 20.o 20.9 || 2:.7 Io.3 || II.I II.8 || 12.5 || 13.3 14.0 || 14.8 || 15.5 | 16.3 17.0 || 17.8 | 18.5 | 19.3 || 20.o 9.5 || Io.2 Io.8 || 11.5 || 12.2 | 12.9 || 13.6 || 14.3 | 15.6 15.6 || 16.3 17.o 17.7 18.4 8.6 || 9.3 9.9 || Io.5 || II.I II.7 | 12.4 || 13.o 13.6 14.3 14.9 || 15.5 | 16.1 16. 7.8, 8.4 || 8.9 || 9.5 ! Io.o | Io.6 ſ 11.2 : 11.7 | 12.3 |12.9 || 13.4 || 14.o 14.6 || 15.1 7.o. 7.5 8.0 | 8.5 9.0 9-5 | Io.o Io.5 II.O II.5 12.0 | 12.5 13.O || 13.5 6.1 || 6.5 7.o 7.4 || 7.9 8.3 8.7 || 9.2 9.6 || 10.1 ! Io.5 | 11.6 11.4 || 1 i.9 5.3 || 5.6 6.0 | 6.4 || 6.8 || 7.2 || 7.5 || 7.9 8.3 8.7 9.1. 9.4 9.8 || Io.z 4.4 || 4-7 || 5.I 5.4 || 5.7 | 6.0 | 6.3 6.7 || 7.o 7.3 || 7.6 7.9 8.3 8.6 3.6 || 3.8 || 4.1 || 4.4 || 4.6 || 4.9 || 5.1 5.4 5.6 5.9 || 6.2 6.4 6.7 6.9 2. 2.9 || 3-1 || 3-3 || 3–5 || 3.7 || 3.9 || 4.I 4.3 || 4.5 || 4-7 || 4.9 5.I 5.3 1.9 2.0 2.2 || 2.3 2.4 2.6 2.7 || 2.8 || 3.o 3.1 || 3.3 | 3.4 3.5 3.7 1.O | 1. I I.2 I.3 I-4 I.4 I.5 1.6 | 1.6 | 1.7 | 1.8 1.9 2.O 2.C) O.2 O.2 O.2 | O.3 || O.3 || O.3 O.3 || O.3 || O.3 || O.3 || O.4 O.4 O.4 O.4 +- || -- || -- || -- -H | -- -j- || -- -º- -j- || -- + 1 + # o.6 O.7 o.7 o.8 o.8 o.9 o.9 | 1.0 | 1.0 | 1.1 : 1.1 : 1.1 I .2 I.2. , I.5 1.6 1.7 | 1.8 I.9 || 2.O 2. I 2.2 2.3 2.5 2.6 2.7 2.8 2.9 23|_2.5|_2.7 2.8 L 32' 3.2 3-3 |_3.5 || 37 || 3.8 L 4.0 || 4-2 || 44 4.5 - 3.2 || 3.4 || 3.6 || 3.8 4.1 4-3 || 4.5 4.8 5.o 5.2 5.5 5.7 5.9 6.2. 4.ol 4-3 || 4.6 4.9 || 5.2 || 5.5 5.7 || 6.0 | 6.3 | 6.6 || 6.9 7.3 7.5 7.8 4.9 || 5.2 5.6 5.9 || 6.3 || 6.6 7.0 || 7.3 7.7 8.0 8.4 8.7 9.1 9.4 5.7 || 6.1 6.5 | 6.9 || 7-3 || 7.8 8.2 8.6 9.0 9.4 9.8 10.2 | 10.7 11.1 6.5 || 7.0 7.5 7.9 8.4 8.9 || 9.4 9.8 10.3 Io.8 || 11.3 11.7 12.2 12.7 7.4 || 7.9 || 84 || 9.o || 9.5 1o.o Io.6 ſ 11.1 | 11.6 | 12.2 | 12.7 | 13.3 13.8 || 14.3 8.2 8.8 9.4 Io.o Io.6 II.2 11.8 || 12.4 || 12.9 13.6 || 14.2 14.8 15.4 || 16.6 9.1 || 9.7 Io.4 II.O || II.7 12.3 13.0 || 13.7 || 14.3 15.o 15.6 | 16.3 || 17.0 || 17.6 /9.9 || Io.6 || 11.3 | 12.o 12.8 || 13.5 14.2 || 14.9 || 15.6 | 16.4 || 17.1 17.8 18.5 || 19.3 10.8 || 11.5 | 12.3 || 13.1 || 13.9 14.6 15.4 || 16.2 || 17.0 17.8 || 18.5 19.3 20.1 || 26.9 11.6|| 12:413-3 || 14-1 || 14.9 || 15.8 || 16.6 || 17.5 | 18.3 |19.1 ! :ool. 20.8 || 21.7 22.5 12.4 || 13.3 || 14.2 ſ 15.1 T 16.of 16.9 T17.3 T 18.7|19.6 |zo.5 T21.5 || 22.4 || 23.3TT24.2 13.3 || 14.2 15.2 in 6.2 || 17-1 | 18.1 | 19.o 20.o. 21.0 21.9 || 22.9 23.9 24.9 || 25.8 14.1 | 15.1 | 16.2 || 17.2 | 18.2 | 19.2 | 20.2 || 21.3 |22.3 || 23.3 || 24.4 25.4 26.4 || 27.5 Example: App. Alt. 4 º' 31".o Tab. I. App. Alt 4° 18' 31". 11' 1".5 Barometer 28' 5".3 P. M. II. M. refr. 11' 1.5 + 1 15 .6 Therm. external t = — 12°.5 R. ” “*” Therm. – #! º ... + 1 15 . , attached t'= — 4.8 M. refr. --Tb. II,12' 17" I. t – t = -7°.7 Corr. Ho".5. " * Cor. Baron 3” 4".78 }+o 17 .o Barom. . . 28' 5.30 Refraction . - . 12'34 .1 Corr. Barom. . 28"4".78 572 TABLEs of RRFRACTION. TABLE III. CorrecTION For HEIGHT of BAROMETER. MEAN REFRACTion + Corr. TAB. II. * : f // * & * & # 0. * Ay * * * & A m f // * , w 4 º' * n * & #. 9 o 9 20 || 9 40 Io o | Io 2c Io 40 || 1 1 O II 20 | 11 4o 12 o 12 zc | 12 4o || 13 o ſº : - º º - tº- * -* - - sº *- | - - *- ſº ºw y a' • ? g tº & Af º g AP A. 4 × º 26 3 29.9 || 3 I.O 32.2 || 33-3 ||34.4 35.5 || 36.7 || 37.8 39.0 || 4o. I 41.3 42.4% 43.6 4 || 28.2 29.3 |30.4 || 31.5 ! 32.5 33.6 || 34.7 | 35.7 || 36.8 || 37.9 |39.o 4o. 1 || 41.2 5 || 26.6 27.6 28.6 || 29.6 30.6 31. 32.7 || 33.7 || 34.7 || 35.7 36.7 37.8 || 38.8 6 25.o 25.9 |26.9 27.8 28.8 29.7 39.6 31.6 32.6 || 33.5 34.5 35.4 || 36.4 7 || 23-3 || 24.2 25.1 || 26.0 |26.9 27.8 || 28.6 || 29.5 | 39.4 || 31.3 || 32.3 || 33.1 || 34.o 8 21.7 22.5 23.3 || 24.2 || 25.o 25.8 26.6 27.5 28.3 || 29.1 || 3o.o 30.8 || 31.6 9 29.0 20.8 21.6 22.3 23.I 23.9 || 24.6 25.4 26.2 26.9 27.7 28.5 29.2 Io | 18.4 | 19.1 19.8 20.5 ! 21.2 21.9 22.6 || 23.3 || 24.0 || 24.7 25.4 || 26.1 || 26.9 11 || 16.8 17.4 | 18.0 | 18.7 | 19.3 zo.o i zo.6 21.2 21.9 || 22.5 23.2 23.8 ſ 24.5 27 o 15.1 | 15.7 | 16.3 | 16.9 || 17.4 || 18.0 | 18.6 || 19.2 | 19.7 || 29.3 |20.9 || 21.5 22.1 | TT135||14-0 || 14.5 T15.of 15.5 | 16.1 | 16.6|T7..II 17.6 | 18.1 | 18.6 || 19.2 || 19.7 2 II.9 12.3 | 12.8 || 13.2 | 13.7 | 1.4.1 || 14.6 ſ 15.0 | 15.5 || 15.9 | 16.4 | 16.9 || 17.3 3 || Io.2 | Io 6 || II.o II.4 II.8 12.2 | 12.6 | 12.9 || 13.3 || 13.7 | 1.4.1 || 14.5 14.9 4 || 8.6 | 8.9 || 9.2 9.6 33 Io.2 || 1 O.5 Io.9 II.2 II.5 II.9 || 12.2 | 12.5 5 6.9 || 7.2 7.5 7.7 8.0 | 8.3 8.5 | 8.8 || 9.1 9.3 || 9.6. 9.9 || 10.1 | 6 5.3 || 5 5 5.7 5.9 || 6.1 ! 6.3 6.5 6.7 | 6.9 7.I 7.3 || 7.5 7.7 7 3.7 || 3.8 4.o 4. I 4.2 4.4 4.5 || 4.6 || 4.8 4.9 || 5. I 5.2 5.4 8 2.O 2. I 2.2 ſ 2.3 2.3 || 2.4 2.5 | 2.6 2.7 2.7 2.8 2.9 3.O 9 || O.4 o.4 || O.4 O.4 o.5 O.5 O.5 O.5 O.5 O.5 | . o.5 o.6 o.6 -j- || -- —H· -H | + -- •+ —H. =}- -4- || -- -- —- IO I.2 I.3 I.3 I.4 I.4 I.5 1.5 | 1.6 | 1.6 1.7 | 1.7 | 1.8 1.8 I I 2.9 |_3,O__3.I 3.2 3-3 || 3.4 3.5 3.6 || 3.8 3-9 || 4.O 4. I 4.2. 28 o || 4.5 || 4-7 || 4.9 |_5.o. 5:2 |_5.4 |_5° 5.7 5.9 6.1 || 6.2 || 6′4__ 6.6 I | 6.2 6.4 6.6 || 6.9 || 7.1 7.3 || 7.6 7.8 || 8.o 8.3 8.5 8.7 9.0 2 || 7.8 8.1 8.4 8.7 | 9.0 9.3 9.6 9.9 || 10.2 | Io.5 | Io.8 II. I | 11.4 3 9.4 9.8 Io. I Io.5 Io.9 II. I 1.6 11.9 || 12.3 || 12.7 13.o 13.4 || 13.8 4 || 11.1 | 11.5 | 11.9 || 12.3 | 12.8 || 13.2 || 13.6 || 14.o 14. I4.9 || 15.3 | 15.7 | 16.2 5 || 12.7 | 13.2 13.7 || 14.2 14.6 15.1 | 15.6 | 16.1 | 16. 17.1 17.6 | 18.1 | 18.5 6 || 14.3 14.9 15.4 || 16.0 | 16.5 17.1 17.6 | 18.2 | 18.7 || 19.3 | 19.8 20.4 20.9 7 | 16.0 | 16.6 17.2 || 17.8 | 18.4 | 19.c | 19.6 20.2 |zo.9 || 21.5 |22.1 22.7 23.3 8 || 17.6 | 18.3 | 19.0 | 19.6 20.3 21.0 || 21.6 22.3 23.0 || 23.7 24.4 25-o 25.7 9 || 19.3 20.0 |20.7 || 21.5 22.2 22.9 || 23.7 24.4|25.1 || 25.9 |26.6 27.4 || 28.1 Io 20.9 2I.7 22.5 || 23.3 24.I 24. 25.7 26.5 27.3 || 28.1 28.9 29.7 || 30.5 11 || 22.5 23.4 24.2 . 25.1 26.o 26. 27.7 || 28.5 |294 || 30-3 ||3*.*__32.0 || 32.9 29 o 24.2 || 25.1 26.0 26.9 27.8 28.8 29.7 30.6 31.6 || 32.5 334 34.3 || 35.3 I 25.8 26.8 27.8 28.8 29.7 30.7 || 31.7 32.7 33.7 || 34.7 |35.7 || 36.7 || 37.7 2. *** 29.5 || 30.6 31.6 32.7 . is: 34.8 35.8 || 36.9 |37.9 || 39.o | 40.1 1) Before using the table, a correction is required for the height of the barometer. This correction depends upon the attached thermometer, and is taken with the argument t-t' from the small table at p. 564. - = -- - - - TABLEs of REFRACTION. 5 7 p = 16°.89 = 16.9 = t t It" -- 6°7 Corr. To 46 ARGUMENTS: CoRRECTED BAROMETER”) AND MEAN REFRACTION CORRECTED for temperature: BY TAB. II. MBAN REFRActiox + CoRB. TAB. II. 1323||1343|14 o' is 23|1443||1; 6'15'23||1343||16' 3"|1623|1646] 17 & 17 26, 1743 , 9 º * 0. J º * * * , 9 tº & ſ? t ty 44.8|45.9 || 47.1 |48%. 49.4 || 50.5 || 51.7 || 52.9 || 54.1 || 553 || 564 || 57.6 || 58.8 || 6oo 42.3 |43.4 || 44.5 |45.6 |46.7 || 47.8 || 48.9 |5o.o || 51.1 || 52.2 53.4 || 54.5 || 55.6 || 56.7 39.8 |49.9 41.9 |42.9 |44.o || 45.0 |46. I 47.1 || 48.2 |49.2 |5o.3 || 51.3 52.4 534 37.4 |38.4 || 39.3 |40.3 |41.3 || 42.3 |43.2 |44.2 || 45.2 |46.2 |47.2 || 48.2 || 49.1 50.1 34.9 |35.8 || 36.7 ||37.6 || 38.6 || 39.5 | 40.4 |41.3 || 42.4 |43.2 |44.1 || 45.o 45.9 || 46.9 32.5 33.3 || 34.2 35.0 || 35.9 || 36.7 ||37.6 |38.4 || 39.3 |40.1 |41.o 41.8 || 42.7 || 43.6 3o.o 39.8 || 31.6 || 32.4 || 33.1 || 33.9 || 34.7 |35.5 || 36.3 ||37.1 |37.9 || 38.7 || 39.5 | 40.3 27.6 28.3 || 29.o 29.7 |30.4 || 31.2 31.9 |32.6 || 33.3 ||34.1 |34.8 || 35.5 || 36.3 || 37.o 25.125.8 || 26.4|27-1 || 27.7 || 28.4 |29.9 |39.7 || 39.4|3to 31.7 || 32.4 || 33-0 || 33.7 22.7 23.3 || 23.8 24.4 25.0 || 25.6 26.2 26.8 || 27.4 28.o 28.6 || 29.2 29.8 30.4 2O.2 29.7 21.3 21.8 22.3 || 22.8 || 23.4 || 23.9 || 24.4 || 25.o 25.5 || 26.o 26.6 27.1 17.8 | 18.2 | 18.7 | 19.2 | 19.6 || 20.1 | 20.5 21.o 21.5 21.9 22.4 22.9 || 23.4 23.8 15.3 15.7 16.1 | 16.5 | 16.9 || 17.3 17.7 | 18.1 | 18.5 | 18.9 || 19.3 || 19.7 20.1 | 20.5 12.9 |I3.2 || 13.5 | 13.9 14.2 || 14.5 || 14.9 15.2 | 15.5 15.9 | 16.2 | 16.6 | 16.9 || 17.2 Io.4 || 19.7 Io.9 || 11.2 II.5 || 11.8 12.0 | 12.3 || 12.6 || 12.9 || 13.1 || 13.4 || 13.7 14.o 7.9 8.2 8.4 8.6 || 8.8 9.O | 9.2 | 9.4 9.6 || 9.8 || Io.o | Io.2 | Io.5 10.7 5.5 5.6 5.8 5.9 6.1 6.2 | 6.4 || 6.5 6.6 6.8 || 6.9 7.I 7.2 7.4 3.O 3. I 3.2 || 3-3 || 3.4 3.4 || 3.5 | 3.6 3.7 || 3.8 3.8 3.9 || 4.O 4. I o.6 o.6 o.6 o.6 o.7 || 0.7 | O.7 || O.7 || 0.7 || o.7 o.7 o.8 || o.8 o.8 —- || -- + —— •+- -- || -- || -- -j- -4- -j- ~}- —H. -- I.9 I.9 2.O 2.O | 2. I 2. I 2.2 2.2 || 2.3 || 2.3 || 2.4 2.4 || 2.5 2.5 4-3 || 4.4 || 4.5 4.6 4.8 || 4.9 || 5.o 5. I 5.2 5-3 || 5.5 5.6 5.7 5.8 6.8 || 6.9 || 7.1 | 7.3 || 7.5 7.7 || 7.8 || 8.o. 8.2 | 8.4 || 8.5 8.7 8.9 9. I 9.2 9.5 9.7 9.9 || Io.2 Io.4 Io.7 | Io. II.2 | II.4 || II.6 || II.9 || I2. I | 12.4 II.7 F2.O | 12.3 12.6 | 12.9 || 13.2 | 13.5 | 13. I4. I I4.4 I4. #: # I5.7 14.1 || 14.5 I4.9 15.2 15.6 || 16.0 | 16.3 16.7 || 17.1 || 17.5 || 17. I8.2 Iö. 19.o 16.6 17.0 || 17.5 17.9 || 18.3 | 18.8 || 19.2 | 19.6 20.1 | 20.5 zo.9 || 21.4 21.8 22. 19.0 | 19.5 | 20.9 20.5 21.o 21.5 22.o 22.5 || 23.of 23.5 || 24.o 24.5 25. I 25. 21.5 22.1 22.6 23.2 || 23.7 || 24.3 24.9 || 25.4 26.0 26.6 27.1 || 27.7 28.3 28.9 23.9 24.6 25.2 25.8 26.4 || 27.1 27.7 28.3 || 29.ol 29.6 || 36.2 || 36.9 || 31.5 || 32.2 26.4 27.1 || 27.8 28.5 29.2 29.8 |30.5 31.2 || 31.9 || 32.6 || 33-3 || 34.o || 34.7 || 35.4 288 |296 || 39.4|31 || |34.9 32.6|334 ||34 || 34.9 35.7 ||364 || 37.2 38.2 38.7 31.3 || 32.1 32.9 || 33.8 || 34.6 || 35.4 || 36.2 |37.o 37.9 || 38.7 || 39.5 | 404 || 41.2 || 42.o 338||34° 35.5 |364 |37.3 || 38.339:1 (49.9 || 49.8l4, 7 ||32.6 || 43.5 || 44.4 || 45.3 36.2 |37.2 38.1 39.0 |4oo 40.9 |41.9 |42.9 || 43.8|44.8 |45.7 || 46.7 || 47.7 || 48.6 38.7 | 39.7 | 40.7 || 41.7 |42.7 || 43.7 44.7 |45.8 I 46.8 || 47.8 || 48.8 || 49.9 || 50.9 || 51.9 41.1 || 42.2 || 43.3 44.3 || 45.4 || 46.5 47.6 || 48.7 || 49.7 || 5o.8 || 51.9 53.o 54.1 55.2 Example: App. Alt. 11° 18'o" fy Barom. 28".31 Engl. Tab. I. App. Alt. 11° 18' o” . 4° 41' ſo Therm. external 85° Fh. II. M. refr. 4'41" } - 20 ,, attached 7o " ** Therm. -- 23°.6 I . . . .5 Reduction (see p. 564.) II. M. reſ:--Tºb. II:4'21" | – 11 o Baronn. 28.25 Pº. " * & Bar. 26",’. } – 1 ..of .68 Refraction . . . . 4' 9".5 23.3 T. 26' 6.68 - Therm. 85’ = 83.75 + 1.25 = 23' + o-44 -- og -- O2, 23°.55 = 23.6 = t 70° - 68° + 2* . . 16° -- o.89 3 Corr. Bar:6'771.4 574 CONSTANTS. log. Base of Naperian lº. • * * * * . . a = 2.71828.18 •ºs Log: s = Modulus of common logarithms. . M = o4342945 9.6377843—Fo Radius reduced to seconds tº º ºs º 206264.8 5.3144251 w? » , minutes 3437.7468 3.5362739 yy 57 ,, degrees - - 57.29578 1.7581226 360 degrees expressed in seconds. º 4. 1296000 6.1126050 $g 9? 29 , minutes . º - 216oo 4-3344538 32 2? ... ?? , degrees . º • , 360 2.5563O25 Diameter 1, circumference e • - w = 3.14159265 oA971499 + = o.3183099 9.5oz85oi – Io ** = 9.8696044 o 994.2997 Y= = 1.7724.539 o.2435749 W; 9.9063329–Io Dimensions of the Earth according to Bessel: Semi-axis major • Q & © º a = 3272O77.14 toises 6.5148235 Semi-axis minor . e & © e b = 3261139.33 m. 6.5133694 a in English feet . © o e == *::::::: 7.32O6363 ..?? - ??. 22, • e º º = 20.853654 7.3191822 a in English miles . . . . = 3962.8025 3.598o024 25 ºp ". . . . . . . = **ś7 3.5965482 Ellipticity of meridian © = ++ = —— 7. - !pticity l &\ 299.1528 7.5241069–Io Excentricity of meridian a’-b” o.o8169683 = —t— 8.0122O52— Io a? º I2.24038 .9 5 Horizontal equatoreal parallax of the Sun according to Encke. . . . . . . . . . . . . . 8".571 16 Distance of the Earth from the Sun = 95364768 Engl. mls. Year accords. to Hansen sidereal 365.2563582 mean days. and Olufsen tropical 365.2422008 99 º 99 Precession according to Bessel = 56".21129 + ooooz442926t (epoch 1750) t 25 29 , Struve = 50.2298 -- oooo.226 Equatoreal { precession l (Struve) m = 46 .o.181 +o .oOoz84t Diurnal precession = o'.13759 (1856) Aberration according to Delambre = zo".255 97 9? ,, Struve = 2.0 .4451 Nutation 99 , v. Lindenau = 8.97707 Peters = .2231 }} 99 Obliquity of the * ecliptic { o,4645t accº."to Strave (1750) 23°28'17".44 and Peters (18oo) 23 27 54 .22 O.933O396 7.9793886 2.5625978 2.5625809 }} 33 (Bessel) m =46".oz824+ o' ooo3O864.5 t u = 20°.o6442—o".ooooo.7ozoát n = zo.obso –o .oOoo36t Light is propagated from ; accº. to Delambre in 493”.198 2.693oz.13 the Sun to the Earth ,, , Struve , 497.827 2.697.0785 vºices of lºt (“º"::::: * * :::::::: Masses of the Planets, the Suns mass being = 1. Mercury = º (Encke) Jupiter º (Bessel) Venus = Tºa- (Le Verrier) Saturn -ā- (Bessel) Earth = º (Le Verrier) Uranus 㺠(Lamont) Mars = 2 º (Burckhardt) Neptune -Hº- (Peirce) Moon = † of the mass of the Earth (Hansen) Attraction of the Sun k in parts of the radius o.or 72021 according to Gauss k in seconds of arc 3548.18761 { 3.5 8.2355814–10 500066 575 AUXILIARY TABLE. S Arc. log. sin. 4,685 574 1' 39" | 6.681 § 3 § 6.982 5747 5 13 || 7.181 5746 6 36 7.283 5745 7 44 7.352. 4,6855744 8 44 7.405 5743 9 3 7.447 5742. IO 2. 7.482 5741 I I I I 7.5I2 ' 5749 |_II 54 || 7.539 4,685 #3 I2 34 || 7.563 573 13 I2 || 7.584 5737 13 48 || 7.604 5736 I4 23 7.622. 5735 | 14 56 i 7.638 .685 5734 15 28 || 7.65 4. #: 16 o § 5732 16 3o 7,681 5731 | 16 59 || 7.694 __5739 – 17 28 || 7-78° 4,685 §: 17 56 7.71 572 IS 22. 7.72 5727 | 18 48 7.738 5726 19 14 7.748 5725 19 39 7.757 4,685 5724 | 20 4 || 7.766 5723 20 28 7.775 5722. 2O 52 7.783 5721 2 I 15 7.791 572O 21 38 7.799 4.685 Ž: 22. I 7.806 571 22, 23 7.814 57.17 22, 44 7.820 5716 23 6 7.827 5715 || 23 27_|_7,834 4.685 57.14 || 23 4; 7.840 5713 24 7.846 5712 24 28 7.852 57.11 24 48 || 7.858 5710 25 8 7.864 4.685 5709 || 25 27 || 7.869 5708 || 25 46 7.875 5707 || 26 5 7.88o 5706 || 26 24 || 7.885 5705 26 42. 7.890 4,685 5794 27 2. - 7.895 5703 27 18 7.90o 5702 27 36 7.905 57OI 27 54 || 7.909 57oo 25 II 7.914 4.68556 28 29 7.918 569 28 46 7.923 5697 29 3 || 7.927 5696 || 29 19 || 7.931 5695 29 36 7.935 4,685 5694 || 29 53 7.939 5693 3o 9 7.943 5692 || 3o 25 7.947 5691 3o 41 7.951 5 3o 57 7.954 4,685568o 33 29 || 7.988 5670 35 5o 8.ol 8 T . Arc log.tang. 4.685 5749 2' 36" | 6.879 575o 3 18 6.982. 5751 4 22 || 7.IO4 5752. 5 I3 || 7.181 5753 5 57 || 7.238 5754 6 36 || 7.283 4.685 5755 7 II | 7.32O 5756 44 || 7-352 5757 15 7.38o 5758 8 44 || 7.405 5759 9 II 7.427 4.6855760 9 37 || 7.447 5761 IO 2. 7.465 5762 Io 26 7.482 5762 | Io 49 || 7.498 __5764 I I I I 7.5 I2 4.685 5765 II 33 || 7.526 5766 || II 54 || 7.539 5767 | 12 14 || 7.551 5768 || 12 34 || 7.563 5769 || 12 53 7.574 4,685 577O || 13 12 || 7.584 5771 || 13 39 || 7.594 5772 13 48 || 7.604 5773 14 6 7.613 5774 14 23 || 7622 4,685 5775 I4 4o 7.63o 5776 || 14 56 7.638 577 I5 I3 7.6.46 577 I5 29 || 7.654 5779 || 15 44 || 7.661 4,685 578o 16 o 7.668 5781 16 15 7.675 5782 16 3o 7.681 5783 16 44 7.687 5784 || 16 59 || 7.694 4,685 5785 17 13 || 7.700 5786 17 27 7.706 5787 17 41 7.71 I 5788 17 55 7.717 5789 18 9 7.723 4,685 5790 18 22 7.728 5791 | 1835 | 7.73 5792 18 49 7.73 5793 19 2 || 7.743 5794 I9 I4 7.748 4,685 5795 || 19 27 | 7.753 5796 || 19 39 7.757 5797 19 52 7.762 5798 20 4 || 7.766 5799 2d 16 7.771 4.68558oo 2d 28 7.775 581o 22 23 7.814 582O 24 8 7.846 5830 25 46 7.875 5840 27 19 || 7.900 4.685.5850 28 46 7.923 5860 3o 9 || 7.943 5870 31 28 7.962 588o 32 46 7.979 5890 33 58 7.995 5900 35 9 8.oio NCW 4 1918 D, VAN NOSTRAND COMPANY | 25 P A H K P L A C E NEW YORK SHORT-TITLE CATALOG OF }Jublications and 3mportations OF SCIENTIFIC AND ENGINEERING BOOKS This list includes | t’le technical publications of the following English publishers: SCOTT, GREENWOOD & CO. 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Wright. . . . . . . . . . . . . . . . . . . . . . . . . e s tº a ç is e º e g º tº e º s º 8vo, Bertin, L. E. Marine Boilers. Trans. by L. S. Robertson. . . . . . . . . . 8vo, Beveridge, J. Papermaker’s Pocket Book. . . . . . . . . . . . . . . . . . . . . I2mo, B1nnie, Sir A. Rainfall Reservoirs and Water Supply. . . . . . . . . . . 8vo, Binns, C. F. Manual of Practical Potting. . . . . . . . . . . . . . . . . . . . . . . 8vo, —— The Potter’s Craft. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Birchmore, W. H. Interpretation of Gas Analysis. . . . . . . . . . . . I2mo, Blaine, R. G. The Calculus and Its Applications . . . . . . . . . . . . . . . I2mo, Blake, W. H. Brewers' Wade Mecum . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Blasdale, W. C. Quantitative Chemical Analysis. (Van Nostrand's Textbooks.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Bligh, W. G. The Practical Design of Irrigation Works . . . . . . . . . .8vo, I OU) 5 n 60 OO 3 50 *I *I *2 * I >k I *2 $6 *4 . *2 . : O O 50 50 OO OO 50 50 30 OO OO O O OO 50 6o OO OC) 59 OO 50 50 OO OO OO OC) OO 50 OO 25 50 OO 50 D. VAN NOSTRAND CO.'S SHO RT TITLE CATALOG Bloch, L. Science of Illumination. Trans. by W. C. Clinton . . . . . . 8vo, Blok, A. Illumination and Artificial Lighting. . . . . . . . . . . . . . . . . . I2m.0, Blücher, H. Modern Industrial Chemistry. Trans. by J. P. Millington. g ovo, Blyth, A. W. Foods: Their Composition and Analysis . . . . . . . . . . . . 8vo, — Poisons: Their Effects and Detection. . . . . . . . . . . . . . . . . . . . . . . 8vo, Böckmann, F. Celluloid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Bodmer, G. R. Hydraulic Motors and Turbines. . . . . . . . . . . . . . . I2no, Boileau, J. T. Traverse Tables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Bonney, G. E. The Electro-platers' Handbook. . . . . . . . . . . . . . . . . . I2m.0, Booth, N. Guide to the Ring-spinning Frame . . . . . . . . . . . . . . . . . 12mo, Booth, W. H. Water Softening and Treatment. . . . . . . .. . . . . . . . . . 8vo, —— Superheaters and Superheating and Their Control . . . . . . . . . . 8vo, Bottcher, A. Cranes: Their Construction, Mechauical Equipment and Working. Trans. by A. Tolhausen . . . . . . . . . . . . . . . . . . . . . 4to, Bottler, M. Modern Bleaching Agents. Trans. by C. Salter . . . 12mo, Bottone, S. R. Magnetos for Automobilists. . . . . . . . . . . . . . . . . . . 12mo, Boulton, S. B. Preservation of Timber. (Science Series No. 82.). 16mo, Bourcart, E. Insecticides, Fungicides and Weedkillers. . . . . . . . . . . 8vo, Bourgougnon, A. Physical Problems. (Science Series No. 113.) 16mo, Bourry, E. Treatise on Ceramic Industries. Trans. by A. B. Searle. 8vo, Bowie, A. J., Jr. A Practical Treatise on Hydraulic Mining . . . . . . . 8vo, Bowles, O. Tables of Common Rocks. (Science Series No. 125.). 16mo, Bowser, E. A. Elementary Treatise on Analytic Geometry. . . . . . I2mo, —— Elementary Treatise on the Differential and Integral Calculus. I2mo, —— Elementary Treatise on Analytic Mechanics . . . . . . . . . . . . . . . I2mo, —— Elementary Treatise on Hydro-mechanics. . . . . . . . . . . . . . . . . I2m, O, —— A Treatise on Roofs and Bridges. . . . . . . . . . . . . . . . . . . . . . . . I2mo, Boycott, G. W. M. Compressed Air Work and Diving . . . . . . . . . . 8vo, Bradford, G., 2nd. Whys and Wherefores of Navigation. . . . . . . . I2n(), Bragg, E. M. Marine Engine Design. . . . . . . . . . . . . . . . . . . . . . I2 mo, — Design of Marine Engines and Auxiliaries. . . . . . . . . . . . . . . . . .8vo, Brainard, F. R. The Sextant. (Science Series No. IoI.) . . . . . . . 16mo, Brassey’s Naval Annual for 1915. War Edition. . . . . . . . . . . . . . 8V0, Briggs, R., and Wolff, A. R. Steam-Heating. (Science Series No. 68.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6mo, Bright, C. The Life Story of Sir Charles Tilson Bright. . . . . . . . . 8vo, Brislee, T. J. Introduction to the Study of Fuel. (Outlines of Indus- trial Chemistry.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Broadfoot, S. K. Motors: Secondary Batteries. (Installation Manuals Series.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12m.0, Broughton, H. H. Electric Cranes and Hoists. . . . . . . . . . . . . . . . . . . . . . . . Brown, G. Healthy Foundations. (Science Series No. 80.) . . . . I6mo, Brown, H. Irrigation... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Brown, H. Rubber. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, W. A. Portland Cement Industry. . . . . . . . . . - - - - - e - - - - - - e. e. 8vo, Brown, Wm. N. Dipping, Burnishing, Lacquering and Bronzing Brass Ware. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12m.0, — Handbook on Japanning. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, *2 I >}. : : *f; 5 : f: •k i 50 50 50 50 OO OO EO 25 50 50 OO 50 OO 50 50 50 OO. OO 50 75 25 OO 50 25 . OO OO OO OO OO 50 50 OO 75 50 OO OO OO 25 50 6 D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Blown, Wm. N. The Art of Enamelling on Metal. . . . . . . . . . . . I2mo, — House Decorating and Painting . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, — History of Decorative Art. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, — Workshop Wrinkles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Browne, C. L. Fitting and Erecting of Engines. . . . . . . . . . . . . . . . . . 8vo, Browne, R. E. Water Meters. (Science Series No. 81.) . . . . . . . 16mo, Bruce, E. M. Detection of Common Food Adulterants. . . . . . . . . . 12mo, Brunner, R. Manufacture of Lubricants, Shoe Polishes and Leather Dressings. Trans. by C. Salter . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Buel, R. H. Safety Valves. (Science Series No. 21.) . . . . . . . . . . 16mo, Bunkley, J. W. Military and Naval Recognition Book. . . . . . . . 16mo, Burley, G. W. Lathes, Their Construction and Operation. . . . . . 12mo, Machine and Fitting Shop Practice. . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Burnside, W. Bridge Foundations. . . . . . . . . . . . . . . . . . . . . . . . . . . . 12m.0, Burstall, F. W. Energy Diagram for Gas. With Text. . . . . . . . . . . . 8vo, —— Diagram. Sold separately . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Burt, W. A. Key to the Solar Compass. . . . . . . . . . . . . . . . I6mo, leather, Buskett, E. W. Fire Assaying. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Butler, H. J. Motor Bodies and Chassis. . . . . . . . . . . . . . . . . . . . . . . 8vo, Byers, H. G., and Knight, H. G. Notes on Qualitative Analysis . . .8vo, Cain, W. Brief Course in the Calculus . . . . . . . . . . . . . . . . . . . . . . . I2mo, — Elastic Arches. (Science Series No. 48.) . . . . . . . . . . . . . . . . . . I6m.0, —— Maximum Stresses. (Science Series No. 38.) . . . . . . . . . . . . . 16mo, — — Practical Designing Retaining of Walls. (Science Series No. 3.) I6mo, — — Theory of Steel-concrete Arches and of Vaulted Structures. (Science Series No. 42.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16mo, — — Theory of Voussoir Arches. (Science Series No. 12.) . . . . . 16mo, —— Symbolic Algebra. (Science Series No. 73.) . . . . . . . . . . . . . . I6mo, Calvert, G. T. The Manufacture of Sulphate of Ammonia and Crude Ammonia. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12m.0, Carpenter, F. D. Geographical Surveying. (Science Series No. 37.).16mo, Carpenter, R. C., and Diederichs, H. Internal Combustion Engines. 8vo, Carter, H. A. Ramie (Rhea), China Grass. . . . . . . . . . . . . . . . . . . . I2mo, Carter, H. R. Modern Flax, Hemp, and Jute Spinning . . . . . . . . . . . 8vo, — Bleaching, Dyeing and Finishing of Fabrics. . . . . . . . . . . . . . . . . Cary, E. R. Solution of Railroad Problems with the Slide Rule. , 16mo, Casler, M. D. Simplified Reinforced Concrete Mathematics. . . . . . 12mo, Cathcart, W. L. Machine Design. Part I. Fastenings. . . . . . . . . . . 8vo, Cathcart, W. L., and Chaffee, J. I. Elements of Graphic Statics. . 8vo, —— Short Course in Graphics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Caven, R. M., and Lander, G. D. Systematic Inorganic Chemistry. 12mo, Chalkley, A. P. Diesel Engines. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Chalmers, T. W. The Production and Treatment of Vegetable Oils, 4to, Chambers’ Mathematical Tables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Chambers, G. F. Astronomy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16mo, Chappel, E. Five Figure Mathematical Tables. . . . . . . . . . . . . . . . . . . 8vo, Charnock, Mechanical Technology. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Charpentier, P. Timber . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Chatley, H. Principles and Designs of Aeroplanes. (Science Series No. 126). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16mo, —— How to Use Water Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, OO 50 25 OO 50 50 25 OO 50 OC 25 OO 50 50 I OO 2 50 : >k 4. 25 50 50 75 50 50 50 50 50 50 OO OO OO OO OO OO OO OO 50 OO OO 50 75 50 OO OO OO 50 OO OO D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG 7 Child, C. D. Electric Arc. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Christian, M. Dºsinfection and Disinfectants. Trans. by Chas. Salter. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . & ſº s > * * * * * * I2m.0, Christie, W. W. Boiler-waters, Scale, Corrosion, Foaming . . . . . . . . 8vo, — Chimney Design and Theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Furnace Draft. (Science Series No. 123.) . . . . . . . . . . . . . . . . 16mo, — Water: Its Purification and Use in the Industries. . . . . . . . . . . . 8vo, Church’s Laboratory Guide. Rewritten by Edward Kinch. . . . . . . . . 8vo, Clapham, J. H. Woolen and Worsted Industries. . . . . . . . . . . . . . . .8vo, Clapperton, G. Practical Papermaking . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Clark, A. G. Motor Car Engineering. f Vol. I. Construction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Vol. II. Design. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Clark, C. H. Marine Gas Engines. New Edition. . . . . . . (In Press.) Clark, J. M. New System of Laying Out Railway Turnouts. . . . . 12mo, Clarke, J. W., and Scott, W. Plumbing Practice. Vol. I. Lead Working and Plumbers’ Materials. . . . . . . . . . . 8vo, Vol. II. Sanitary Plumbing and Fittings. . . . . . . . . . . . (In Press.) Vol. III. Practical Lead Working on Roofs. . . . . . . . . . (In Press.) Clarkson, R. B. Elementary Electrical Engineering . . . . . . (In Press.) Clausen-Thue, W. A B C Universal Commercial Telegraphic Code. Sixth Edition. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (In Pres...) Clerk, D., and Idell, F. E. Theory of the Gas Engine. (Science Series No. 62.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Iómo, Clevenger, S. R. Treatise on the Method of Government Surveying. 16mo, morocco, Clouth, F. Rubber, Gutta-Percha, and Balata . . . . . . . . . . . . . . . . . . . 8vo, £ochran, J. Concrete and Reinforced Concrete Specifications. . . . . .8vo, — Inspection of Concrete Construction. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Treatise on Cement Specifications. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Cocking, W. C. Calculations for Steel-Frame Structures. . . . . . . 12mo, Coffin, J. H. C. Navigation and Nautical Astronomy . . . . . . . . . . . 12mo, Colburn, Z., and Thurston, R. H. Steam Boiler Explosions. (Science Series No. 2.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16mo, Cole, R. S. Treatise on Photographic Optics. . . . . . . . . . . . . . . . . . I2mo, Coles–Finch, W. Water, Its Origin and Use . . . . . . . . . . . . . . . . . . . . 8vo, Collins, C. D. Drafting Room Methods, Standards and Forms. . . . . 8vo, Collins, J. E. Useful Alloys and Memoranda for Goldsmiths, Jewelers. I6mo, Collis, A. G. High and Low Tension Switch-Gear Design. . . . . . . .8vo, — Switchgear. (Installation Manuals Series.) . . . . . . . . . . . . . . 12mo, Comstock, D. F., and Troland, L. T. The Nature of Electricity and Matter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, 3 Coombs, H. A.ºſgear Teeth. (Science Series No. 120.) . . . . . . . . 16mo, Cooper, W. R. Primary Batteries. . . . . . . . . . © º e º s e º s •'• . . . . . . . . . . 8vo, Copperthwaite, W. C. Tunnel Shields. . . . . . . . . . . . . . . . . . . . . . . . . 4to, Corfield, W. H. Dwelling Houses. (Science Series No. 50.) . . . .16mo, —— Water and Water-Supply. (Science Series No. 17.). . . . . . . . 16mo, Cornwall, H. B. Manual of Blow- ipe Analysis. . . . . . . . . . . . . . . . . . 8vo, Cowee, G. A. Practical Safety Methods and Devices. . . . . . . . . . . . .8vo, . 2 >k : >k : OO OO OO OO 50 O O. 5o OO 50 OO OO OO OO 50 5C On 50 OO 25 50 50 50 OO OO 50 50 50 OO 50 OO OO 5o 50 50 § l). VAN NO STRAND CO.'S SHORT TITLE CATALOG Cowell, W. B. Pure Air, Ozone, and Water . . . . . . . . . . . . . . . . . . . I2mo, Craig, J. W., and Woodward, W. P. Questions and Answers About Electrical Apparatus. . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, leather, Craig, T. Motion of a Solid in a Fuel. (Science Series No. 49.). 16mo, Wave and Vortex Motion. (Science. Series No. 43.) . . . . . . . I6mo, Cramp, W. Continuous Current Machine Design. . . . . . . . . . . . . . . . 8vo, Crehore, A. C. Miystery of Matter and Energy. . . . . . . . . . . . . . . . . . 8vo, Creedy, F. Single Phase Commutator Motors. . . . . . . . . . . . . . . . . . . 8vo, Crocker, F. B. Electric Lighting. Two Volumes. 8vo. Vol. I. The Generating Plant. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Vol. II. Distributing Systems and Lamps. . . . . . . . . . . . . . . . . . . . . . Crocker, F. B., and Arendt, M. Electric Motors. . . . . . . . . . . . . . . . . 8vo, Crocker, F. B., and Wheeler, S. S. The Management of Electrical Ma- chinery. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Cross, C. F., Bevan, E. J., and Sindall, R. W. Wood Pulp and Its Applica- tions. (Westminster Series.) . . . . . . . . . . . . . . . . . . . • • • . . . 8vo, Crosskey, L. R. Elementary Perspective. . . . . . . . . . . . . . . . . . - - - - - - 8vo, Crosskey, L. R., and Thaw, J. Advanced Perspective . . . . . . . . . . . .8vo, Culley, J. L. Theory of Arches. (Science Series No. 87.) . . . . . . I6mo, Cushing, H. C., Jr., and Harrison, N. Central Station Management. . . Dadourian, H. M. Analytical Mechanics . . . . . . . . . . . . . . . . . . . . . I2mo, Dana, R. T. Handbook of Construction plant. . . . . . . . . . . 12mo, leather, Danby, A. Natural Rock Asphalts and Bitumens. . . . . . . . . . . . . . . . 8vo, Davenport, C. The Book. (Westminster Series.) . . . . . . . . . . . . . . . 8vo, Davey, N. The Gas Turbine. . . . . . . . . . . . . . . * R & & ſº gº tº a e º 'º . . . . . . . . . . . 8vo, Davies, F. H. Electric Power and Traction . . . . . . . . . . . . . . . . . . . . . 8vo, —- ſoundations and Machinery Fixing. (Installation Manual Series.) I6mo, Deerr, N. Sugar Cane. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Deite, C. Manual of Soapmaking. Trans. by S. T. King . . . . . . . . . 4to, De la Coux, H. The Industrial Uses of Water. Trans. by A. Morris. 8vo, Delºvſar, W. A. Electric Power Conductors. . . . . . . . . . . . . . . . . . . . 8vo, Denny, G. A. Deep-level Mines of the Rand . . . . . . . . . . . . . . . . . . . . 4to, —— Diamond Drilling for Gold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . De Roos, J. D. C. Linkages. (Science Series No. 47.) . . . . . . . . . I6mo, Derr, W. L. Block Signal Operation. . . . . . . . . . . . . . . . . . . Oblong 12mo, —— Maintenance-of-Way Engineering . . . . . . . . . . . . . . (In Preparation.) Desaint, A. Three Hundred Shades and How to Mix Them. . . . . .8vo, De Varona, A. Sewer Gases. (Science Series No. 55.) . . . . . . . . I6mo, Devey, R. G. Mill and Factory Wiring. (Installation Manuals Series.) - I2mo, Dibdin, W. J. Purification of Sewage and Water. . . . . . . . . . . . . . . 8vo, Dichmann, Carl. Basic Open-Hearth Steel Process. . . . . . . . . . . . I2mo, Dieterich, K. Analysis of Resins, Balsams, and Gum Resins. . . . . . 8vo, Dilworth, E. C. Steel Railway Bridges. . . . . . . . . . . . . . . . . . . . . . . . . . 4to. Dinger, Lieut. H. C. Care ard Operation of Naval Machinery. . . 12mo, Dixon, D. B. Machinist’s and Steam Engineer's Practical Calculator. I6mo, morocco, Dodge, G. F. Diagrams for Designing Reinforced Concrete struº. 0110, :: *2 *2 *2 *2 *I ::: : >{< > k >k . >: * ! *4 ”IO *5 *I OO 50 50 50 50 OO OO O D 50 OO OO 25 50 50 OO OO OO 50 OO OO OO OO OO 50 OO OO OO 50 50 8 Oo 50 OO 50 50 OO OO OO 25 OO D. VAN NO STRAND CO.'S SHORT TITLE CATALO (; Dommett, W. E. Motor Car Mechanism. . . . . . . . . . . . . . . . . . . . . . . 12m.0, Dorr, B. F. The Surveyor’s Guide and Pocket Table-book. Iómo, morocco, Draper, C. H. Elementary Text-book of Light, Heat and Sound . . 12mo, — Heat and the Principles of Thermo-dynamics. . . . . . . . . . . . . 12mo, Dron, R. W. Mining Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, Dubbel, H. High Power Gas Engines. . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Dumesny, P., and Noyer, J. Wood Products, Distillates, and Extracts. 8vo, Duncan, W. G., and Penman, D. The Electrical Equipment of Collieries. 8vo, Dunkley, W. G. Design of Machine Elements. Two Volumes. .8vo, each, Dunstan, A. E., and Thole, F. B. T. Textbook of Practical Chemistry. I2mo, Durham, H. W. Saws. . . . . . . . . . . . . . . . . . . . . . . . . . 8VO, Duthie, A. L. Decorative Glass Processes. (Westminster Series.), 8vo, Dwight, H. B. Transmission Line Formulas. . . . . . . . . . . . . . . . . . . . 8vo, Dyson, S. S. Practical Testing of Raw Materials . . . . . . . . . . . . . . . 8vo, Dyson, S. S., and Clarkson, S. S. Chemical Works . . . . . . . . . . . . . . 8vo, Eccles, W. H. Wireless Telegraphy and Telephony . . . . . . . . . . . . 12mo, Eck, J. Light, Radiation and Illumination. Trans. by Paul Hogner, - 8vo, Eddy, H. T. Maximum Stresses under Concentrated Loads. . . . . . . 8vo, Eddy, L. C. Laboratory Manual of Alternating Currents. . . . . . . 12mo, Edelman, P. Inventions and Patents. . . . . . . . . . . . . . . . . . . . . I2m.0, Edgcumbe, K, Industrial Electrical Measuring Instruments. . . . . . 8vo, (In Press.) Edler, R. Switches and Switchgear. Trans. by Ph. Laubach . . . 8vo, Eissler, M. The Metallurgy of Gold . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, —— The Metallurgy of Silver . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, —— The Metallurgy of Argentiferous Lead . . . . . . . . . . . . . . . . . . . 8vo, —— A Handbook on Modern Explosives . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Ekin, T. C. Water Pipe and Sewage Discharge Diagrams . . . . . . . folio, Electric Light Carbons, Manufacture of . . . . . . . . . . . . . . . . . . . . Eliot, C. W., and Storer, F. H. Compendious Manual of Qualitative Chemical Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Ellis, C. Hydrogenation of Oils. . . . . . . . . . . . . . . . . . . .8vo, (In Press.) Ellis, G. Modern Technical Drawing. . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Ennis, Wm. D. Linseed Oil and Other Seed Oils . . . . . . . . . . . . . . . 8vo, —— Applied Thermodynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, —— Flying Machines To-day . . . . . . . . . . . . . . . . . . 3 * > . º. 3 º' tº º e s • * I2mo, Vapors for Heat Engines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Ermen, W. F. A. Materials Used in Sizing . . . . . . . . . . . . . . . . . . . . . 8vo, Erwin, M. The Universe and the Atom. . . . . . . . . . . . . . . . . . . . . . I2no, Evans, C. A. Macadamized Roads. . . . . . . . . . . . . . . . . . . . . . (In Press.) Ewing, A. J. Magnetic Induction in Iron . . . . . . . . . . . . . . . . . . . . . . . 8vo, Fairie, J. Notes on Lead Ores. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12m.0, — Notes on Pottery Clays. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, :< . º}: :k . 59 OO OO OO OO OO 50 4 OO I 4O 50 OO OO OO 50 50 50 50 50 50 OO 50 OO OO OO OO OO 25 2 OO *O * I OO 5O 50 OO OO Oſ) O O. 5O 50 Io D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Fairley, W., and Andre, Geo. J. Ventilation of Coal Mines. (Science Series No. 58.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6mo, Fairweather, W. C. Foreign and Colonial Patent Laws. . . . . . . . . . . 8vo, Falk, M. S. Cement Mortars and Concretes. . . . . . . . . . . . . . . . . . . .8vo, Fanning, J. T. Hydraulic and Water-supply Engineering . . . . . . . . . 8vo, Fay, I. W. The Coal-tar Colors. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Fernbach, R. L. Glue and Gelatine . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Findlay, A. The Treasures of Coal Tar. . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Firth, J. B. Practical Physical Chemistry. . . . . . . . . . . . . . . . . . . . . . I2m.0, Fischer, E. The Preparation of Organic Compounds. Trans. by R. V. Stanford. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Fish, J. C. L. Lettering of Working Drawings . . . . . . . . . . . Oblong 8vo, Mathematics of the Paper Location of a Railroad. . paper, 12mo, Fisher, H. K. C., and Darby, W. C. Submarine Cable Testing . . . .8vo, Fleischmann, W. The Book of the Dairy. Trans. by C. M. Aikman. 8vo, Fleming, J. A. The Alternate-current Transformer. Two Volumes. 8vo. Vol. I. The Induction of Electric Currents. . . . . . . . . . . . . . . . . . . . Vol. II. The Utilization of Induced Currents. . . . . . . . . . . . . . . . . . . . Propagation of Electric Currents. . . . . . . . . . . . . . . . . . . . . . . . . . . .8vo, — A Handbook for the Electrical Laboratory and Testing Room. Two Volumes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, each, Fleury, P. Preparation and Uses of White Zinc Paints. . . . . . . . . . . 8vo, Flynn, P. J. Flew of Water. (Science Series No. 84.) . . . . . . . . . I2mo, Hydraulic Tables. . (Science Series No. 66.) . . . . . . . . . . . . . . I6mo, Forgie, J. Shield Tunneling. . . . . . . . . .8vo. (In Press.) Foster, H. A. Electrical Engineers' Pocket-book. (Seventh Edition.) I2mo, leather, — Engineering Valuation of Public Utilities and Factories . . . . . . .8vo, Handbook of Electrical Cost Data . . . . . . . . . . . . . . . . 8vo (In Press.) Fowle, F. F. Overhead Transmission Line Crossings. . . . . . . . . . . I2mo, The Solution of Alternating Current Problems . . . . . 8vo (In Press.) Fox, W. G. Transition Curves. (Science Series No. 110.) . . . . . . 16mo, Fox, W., and Thomas, C. W. Practical Course in Mechanical Draw- ing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Foye, J. C. Chemical Problems. (Science Series No. 69.). . . . . . I6mo, Handbook of Mineralogy. (Science Series No. 86.). . . . . . . 16mo, Francis, J. B. Lowell Hydraulic Experiments. . . . . . . . . . . . . . . . . . . . 4to, Franzen, H. Exercises in Gas Analysis. . . . . . . . . . . . . . . . . . . . . . . . 12mo, Freudemacher, P. W. Electrical Mining Installations. (Installation Manuals Series.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Friend, J. N. The Chemistry of Linseed Oil. . . . . . . . . . . . . . . . . . . I2 m0, Frith, J. Alternating Current Design . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Fritsch, J. Manufacture of Chemical Manures. Trans. by D. Grant. 8vo, Frye, A. I. Civil Engineers' Pocket-book. . . . . . . . . . . . . . 12mo, leather, Fuller, G. W. Investigations into the Purification of the Ohio River. 4to, Furnell, J. Paints, Colors, Oils, and Warnishes. . . . . . . . . . . . . . . . . . 8vo. Gairdner, J. W. I. Earthwork . . . . . . . . . . . . . . . . . . . . . . . 8vo ſm Press.) Gant, L. W. Elements of Electric Traction . . . . . . . . . . . . . . . . . . . . 8vo, O :}; . : .:: : 5 *I 50 OO 50 O G OO OO OO 25 25 OO 25 50 OO 50 50 OO OO 50 50 50 OO OO 50 50 25 50 50 OO OO OO I OO *2 OO OO OO OO 50 D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG I I Garcia, A. J. R. V. Spanish-English Railway Terms. . . . . . . . . . . . . 8vo, Gardner, H. A. Paint Researches, and Their Practical Applications, 8vo, Garforth, W. E. Rules for Recovering Coal Mines after Explosions and Fires . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, leather, Garrard, C. C. Electric Switch and Controlling Gear. . . . . . . . . . . . . 8vo, Gaudard, J. Foundations. (Science Series No. 34.) . . . . . . . . . . . 16mo, Gear, H. B., and Williams, P. F. Electric Central Station Distribution Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Geerligs, H. C. P. Cane Sugar and Its Manufacture . . . . . . . . . . . . . 8vo, —— Chemical Control in Cane Sugar Factories. . . . . . . . . . . . . . . . . . . 4t0, Geikie, J. Structural and Field Geology . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Mountains. Their Growth, Origin and Decay. . . . . . . . . . . . . . 8vo, — The Antiquity of Man in Europe. . . . . . . . . . . . . . . . . . . . . . . . . . . .8vo, Georgi, F., and Schubert, A. Sheet Metal Working. Trans. by C. Salter. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Gerhard, W. P. Sanitation, Watersupply and Sewage Disposal of Country Houses. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m O, Gas Lighting (Science Series No. III.) . . . . . . . . . . . . . . . . . . I6mo, — Household Wastes. (Science Series No. 97.). . . . . . . . . . . . . . . . 16mo, — House Drainage. (Science Series No. 63.). . . . . . . . . . . . . . . . . . 16mo, –– Sanitary Drainage of Buildings. (Science Series No. 93.) I6mo, Gerhardi, C. W. H. Electricity Meters. . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Geschwind, L. Manufacture of Alum and Sulphates. Trans. by C. Salter. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Gibbings, A. H. Oil Fuel Equipment for Locomotives. . . . . . . . . . . 8vo, Gibbs, W. E. Lighting by Acetylene. . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Gibson, A. H. Hydraulics and Its Application . . . . . . . . . . . . . . . . . . . . 8vo, Water Hammer in Hydraulic Pipe Lines. . . . . . . . . . . . . . . . . . . I2mo, Gibson, A. H., and Ritchie, E. G. Circular Arc Bow Girder. . . . . . . . 4to, Gilbreth, F. B. Motion Study. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m O, — Bricklaying System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Field System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, leather, —— Primer of Scientific Management. . . . . . . . . . . . . . . . . . . . . . . . . I 2 m O, Gillette, H. P. Handbook of Cost Data . . . . . . . . . . . . . . . . 12mo, leather, —— Rock Excavation Methods and Cost. . . . . . . . . . . . I 2 m 0, — and Dana, R. T. Cost Keeping and Management Engineering swo. —— and Hill, C. S. Concrete Construction, Methods and Cost. . . .8vo, Gillmore, Gen. Q. A. Roads, Streets, and Pavements. . . . . . . . . . . . 12mo, Godfrey, E. Tables for Structural Engineers. . . . . . . . . . 16mo, leather, Golding, H. A. The Theta-Phi Diagram. . . . . . . . . . . . . . . . . . . . . . . . I2mo, Goldschmidt, R. Alternating Current Commutator Motor . . . . . . . . . . 8vo, Goodchild, W. Precious Stones. (Westminster Series.). . . . . . . . . . . 8vo, Goodell, J. M. The Location, Construction and Maintenance of Roads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Goodeve, T. M. Textbook on the Steam-engine. . . . . . . . . . . . . . . . I2mo, Gore, G. Electrolytic Separation of Metals. . . . . . . . . . . . . . . . . . . . . . . 8vo, Gould, E. S. Arithmetic of the Steam-engine. . . . . . . . . . . . . . . . I2mo, — Calculus. (Science Series No. 112.) . . . . . . . . . . . . . . . . . . . . . . . I6mo, — High Masonry Dams. (Science Series No. 22.). . . . . . . . . . . . . . 16mo, *4 :: 5 I >}< 6 O >; 3 :k : 3 :}: i :::.::: : . ::: : ;: ::: : I 3 *2 I 2 *3 I O O Gould, E. S. Practical Hydrostatics and Hydrostatic Formulas. (Science Series No. 1 I'7.) . . . . . . . . . . . . . . . . a s * * * * * * * * * * * * * . . . . Iómo, 50 OO 50 OO 5 O 5O OO OO OO OO OO OO. O O. 50 50 50 50 OO OO 50 50 OO OO 50 OO OO OO O O. OO OO 50 OO 25 50 25 OO OO OO OO 50 OO 50 50 I2 D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Gratacap, L. P. A Popular Guide to Minerals. . . . . . . . . . . . . . . . . . . 8vo, Gray, J. Electrical Influence Machines. . . . . . . . . . . . . . . . . . . . . . . . I2m.0, —— Marine Boiler Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Greenhill, G. Dynamics of Mechanical Flight. . . . . . . . . . . . . . . . . . .8vo, Gregorius, R. Mineral Waxes. Trans. by C. Salter. . . . . . . . . . . . . . I2m.0, Grierson, R. Some Modern Methods of Ventilation. . . . . . . . . . . . . . . 8vo, Griffiths, A. B. A Treatise on Manures. . . . . . . . . . . . . . . . . . . . . . . . . I2n O, —— Dental Metallurgy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Gross, E. Hops. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Grossman, J. Ammonia and Its Compounds. . . . . . . . . . . . . . . . . . . . I2m.0, Groth, L. A. Welding and Cutting Metals by Gases or Electricity. (Westminster Series) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Grover, F. Modern Gas and Oil Engines. . . . . . . . . . . . . . . . . . . . . . . . . 8VO. Gruner, A. Power-loom Weaving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Grunsky, C. E. Topographic Stadia Surveying. . . . . . . . . . . . . . . . I6m.0, Güldner, Hugo. Internal Combustion Engines. Trans. by H. Diederichs. to. * Gunther, C. O. Integration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . sº Gurden, R. L. Traverse Tables. . . . . . . . . . . . . . . . . . . folio, half morocco, Guy, A. E. Experiments on the Flexure of Beams. . . . . . . . . . . . . . . . . 8vo, Haenig, A. Emery and Emery Industry. . . . . . . . . . . . . . . . . . . . . . . . 8vo, Hainbach, R. Pottery Decoration. Trans. by C. Salter . . . . . . . . . . I2m O, Hale, W. J. Calculations of General Chemistry. . . . . . . . . . . . . . . . . I2m.0, Hall, C. H. Chemistry of Paints and Paint Vehicles. . . . . . . . . . . . . . 12mo, Hall, G. L. Elementary Theory of Alternate Current Working. . . .8vo, Hall, R. H. Governors and Governing Mechanism. . . . . . . . . . . . . . . I2m O, Hall, W. S. Elements of the Differential and Integral Calculus. . . . . . 8vo, —— Descriptive Geometry . . . . . . . . . . . . . . . . 8vo volume and a 4to atlas, Haller, G. F., and Cunningham, E. T. The Tesla Coil. . . . . . . . . . . 12mo, Halsey, F. A. Slide Valve Gears. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, — — The Use of the Slide Rule. (Science Series No. 114.). . . . . . . . . I6mo, —— Worm and Spiral Gearing. (Science Series No. 116.) . . . . . . . I6mo, Hancock, H. Textbook of Mechanics and Hydrostatics. . . . . . . . . . . 8vo, Hancock, W. C. Refractory Materials. (Metallurgy Series.) (In Press.) Hardy, E. Elementary Principles of Graphic Statics. . . . . . . . . . . . . I2mo, Haring, H. Engineering Law. Vol. I. Law of Contract. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Harper, J. H. Hydraulic Tables on the Flow of Water. . . . . . . . I6m.0, Harris, S. M. Practical Topographical Surveying. . . . . . . . . (In Press.) Harrison, W. B. The Mechanics' Tool-book. . . . . . . . . . . . . . . . . . . . I2mo, Hart, J. W. External Plumbing Work. . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, —— Hints to Plumbers on Joint Wiping. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, —— Principles of Hot Water Supply. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, —— Sanitary Plumbing and Drainage . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Haskins, C. H. The Galvanometer and Its Uses. . . . . . . . . . . . . . . . . I6mo, Hatt, J. A. H. The Colorist. . . . . . . . . . . . . . . . . . . . . . . . . . . . Square I2mo, Hausbrand, E. Drying by Means of Air and Steam. Trans. by A. C. Wright. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, OO OO 25 50 OO OO OO 50 50 25 OO OO OO OO OO 25 50 25 50 OO OO OO 25 50 25 50 50 50 50 50 OO OO Oſb D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG I3 Hausmann, E. Telegraph Engineering. . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Hausner, A. Manufacture of Preserved Foods and Sweetmeats. Trans. by A. Morris and H. Robson. . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Hawkesworth, J. Graphical Handbook for Reinforced Concrete Design. 4to, Hay, A. Continuous Current Engineering. . . . . . . . . . . . . . . . . . . . . . . 8vo, Hayes, H. W. Public Utilities, Their Cost New and Depreciation. . .8vo, -— Public Utilities, Their Fair Present Value and Return. . . . . .8vo, Heath, F. H. Chemistry of Photography. . . . . . . . . . . . . .8vo. (In Press.) Heather, H. J. S. Electrical Engineering . . . . . . . . . . . . . . . . . . . . . . . 8vo, Heaviside, O. Electromagnetic Theory. Wols. I and II. . . . 8vo, each, Vol. III. . . . . . . . . . . . . . 8vo, Heck, R. C. H. The Steam Engine and Turbine. . . . . . . . . . . . . . . . .8vo, —— Steam-Engine and Other Steam Motors. Two Volumes. Vol. I. Thermodynamics and the Mechanics. . . . . . . . . . . . . . . . . 8vo, Vol. II. Form, Construction, and Working. . . . . . . . . . . . . . . 8vo, —— Notes on Elementary Kinematics. . . . . . . . . . . . . . . . . . . 8vo, boards, — — Graphics of Machine Forces. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, boards, Heermann, P. Dyers’ Materials. Trans. by A. C. Wright. . . . . . . . . 12mo, Heidenreich, E. L. Engineers' Pocketbook of Reinforced Concrete, 16mo, leather, Hellot, Macquer and D’Apligny. Art of Dyeing Wool, Silk and Cotton. 8vo, Henrici, O. Skeleton Structures. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Hering, C., and Getman, F. H. Standard Tables of Electro-Chemical Equivalents . . . . . . . ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, Hering, D. W. Essentials of Physics for College Students. . . . . . . . 8vo, Hering-Shaw, A. Domestic Sanitation and Plumbing. Two Vols. . . 8vo, Hering-Shaw, A. Elementary Science . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Herington, C. F. Powdered Coal as Fuel. . . . . . . . . . . . . . . . . . . . . . 8vo, Herrmann, G. The Graphical Statics of Mechanism. Trans. by A. P. Smith. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Herzfeld, J. Testing of Yarns and Textile Fabrics. . . . . . . . . . . . . . . . . 8vo, Hildebrandt, A. Airships, Past and Present. . . . . . . . . . . . . . . . . . . . . 8vo, Hildenbrand, B. W. Cable-Making. (Science Series No. 32.) . . . . 16mo, Hilditch, T. P. A Concise History of Chemistry. . . . . . . . . . . . . . . I2m.0, Hill, C. S. Concrete Inspection. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16mo, Hill, J. W. The Purification of Public Water Supplies. New Edition. (In Press.) — Interpretation of Water Analysis. . . . . . . . . . . . . . . . . . . (In Press.) Hill, M. J. M. The Theory of Proportion. . . . . . . . . . . . . . . . . . . . . . . . 8vo, Hiroi, I. Plate Girder Construction. (Science Series No. 95.) . . . 16mo, Statically-Indeterminate Stresses. . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Hirshfeld, C. F. Engineering Thermodynamics. (Science Series No. 45.) 16m.0, Hoar, A. The Submarine Torpedo Boat. . . . . . . . . . . . . . . . . . . . . . . 12mo, Hobart, H. M. Heavy Electrical Engineering. . . . . . . . . . . . . . . . . . . . . 8vo, —- Design of Static Transformers. . . . . . . . . . . . . . . . . . . . . . . . . . . . 121m0, -- Electricity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Electric Trains. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Electric Propulsion of Ships. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, OO OO 50 2 50 2 OO OO 50 OO 50 50 50 OO OO OO 50 OO OO 50 50 75 OO OO. OO OO 50 5O 25 OO. 50 O 50 OO 5O 4 50 OO 2 OO 2 50 2 50 14 D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Hobart, J. F. Hard Soldering, Soft Soldering and Brazing. . . . . . I2m.0, Hobbs, W. R. P. The Arithmetic of Electrical Measurements. . . . 12mo, Hoff, J. N. Paint and Warnish Facts and Formulas. . . . . . . . . . . . . I2m.0, Hole, W. The Distribution of Gas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Holley, A. L. Railway Practice. . . . . . . . . . . . . . . . . . . . . . . . . . . . folio, Hopkins, N. M. Model Engines and Small Boats. . . . . . . . . . . . . . I2m.0, Hopkinson, J., Shoolbred, J. N., and Day, R. E. Dynamic Electricity. (Science Series No. 71.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6m.0, Horner, J. Practical Ironfounding. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Gear Cutting, in Theory and Practice. . . . . . . . . . . . . . . . . . . Horniman, Roy. How to Make the Railways Pay For the War. . . .8vo, Houghton, C. E. The Elements of Mechanics of Materials. . . . . . 12mo, Houstoun, R. A. Studies in Light Production. . . . . . . . . . . . . . . . . . . 12mo, Hovenden, F. Practical Mathematics for Young Engineers. . . . . . 12mo, Howe, G. Mathematics for the Practical Man. . . . . . . . . . . . . . . . . I2m0, Howorth, J. Repairing and Riveting Glass, China and Earthenware. 8vo, paper, Hoyt, W. E. Chemistry by Experimentation. . . . . . . . . . . . . . . . . . . . 8vo, Hubbard, E. The Utilization of Wood-waste. . . . . . . . . . . . . . . . . . . 8vo, Hübner, J. Bleaching and Dyeing of Vegetable and Fibrous Materials. (Outlines of Industrial Chemistry.) . . . . . . . . . . . . . . . . . . . . . 8vo, Hudson, O. F. Iron and Steel. (Outlines of Industrial Chemistry.).8vo, Humphrey, J. C. W. Metallography of Strain. (Metallurgy Series.) (In Press.) Humphreys, A. C. The Business Features of Engineering Practice.8vo. Hunter, A. Bridge Work. . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo. (In Press.) Hurst, G. H. Handbook of the Theory of Color. . . . . . . . . . . . . . . . . . 8vo, — Dictionary of Chemicals and Raw Products. . . . . . . . . . . . . . . . . 8vo, —— Lubricating Oils, Fats and Greases. . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, -— Soaps. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Hurst, G. H., and Simmons, W. H. Textile Soaps and Oils. . . . . .8vo, Hurst, H. E., and Lattey, R. T. Text-book of Physics. . . . . . . . . . . 8vo, Also published in three parts. Part I. Dynamics and Heat. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Part II. Sound and Light. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Part III. Magnetism and Electricity. . . . . . . . . . . . . . . . . . . . . . . . . . . . Hutchinson, R. W., Jr. Long Distance Electric Power Transmission. I2m.0, Hutchinson, R. W., Jr., and Thomas, W. A. Electricity in Mining. 12mo, (In Press.) Hutchinson, W. B. Patents and How to Make Money Out of Them. I 21110 Hutton, W. S. The Works’ Manager's Handbook. . . . . . . . . . . . . . . . . avo, Hyde, E. W. Skew Arches. (Science Series No. 15.) . . . . . . . . . . I6mo, Hyde, F. S. Solvents, Oils, Gums, Waxes. . . . . . . . . . . . . . . . . . . . . . . 8vo, Induction Coils. (Science Series No. 53.) . . . . . . . . . . . . . . . . . . . . . I6mo, Ingham, A. E. Gearing. A practical treatise. . . . . . . . . . . . . . . . . . . . . 8vo, Ingle, H. Manual of Agricultural Chemistry . . . . . . . . . . . . . . . . . . . 8vo, OO 75 50 50 OO 25 50 O O OO OO OO OO 50 25 50 OO OO OO 25 50 50 OO OO OO OO 25 25 50 OO OO OO 50 OC 50 50 OO D VAN NOSTRAND CO.'S SHORT TITL. E CATALOG I5 rº Inness, C. H. Problems in Machine Design . . . . . . . . . . . . . . . . . . . I2mo, — Air Compressors and Blowing Engines . . . . . . . . . . . . . . . . . . . . I2mo, — Centrifugal Pumps. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, — The Fan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Jacob, A., and Gould, E. S. On the Designing and Construction of Storage Reservoirs. (Science Series No. 6). . . . . . . . . . . . I6mo, Jannettaz, E. Guide to the Determination of Rocks. Trans. by G. W. Plympton . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Jehl, F. Manufacture of Carbons. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Jennings, A. S. Commercial Paints and Painting. (Westminster Series.) 8vo, Jennison, F. H. The Manufacture of Lake Pigments. . . . . . . . . . . . . 8vo, Jepson, G. Cams and the Principles of their Construction . . . . . . . .8vo, Mechanical Drawing . . . . . . . . . . . . . . . . . . . . . . 8vo (In Preparalion.) Jervis-Smith, F. J. Dynamometers. . . . . . . . . . . . . . . . . . . . . . . . . . . . .8vo, Jockin, W. Arithmetic of the Gold and Silversmith . . . . . . . . . . . . I2no, Johnson, J. H. Arc Lamps and Accessory Apparatus. (Installation Manuals Series.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Johnson, T. M. Ship Wiring and Fitting. (Installation Manuals Series.) I2mo, Johnson, W. McA. The Metallurgy of Nickel . . . . . . (In Preparation.) Johnston, J. F. W., and Cameron, C. Elements of Agricultural Chemistry and Geology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I 2nd O, Joly, J. Radioactivity and Geology. . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Jones, H. C. Electrical Nature of Matter and Radioactivity . . . . . I2mo, — Nature of Solution. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ... 8vo, – New Era in Chemistry. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, Jones, J. H. Tinplate Industry. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Jones, M. W. Testing Raw Materials Used in Paint . . . . . . . . . . . 12mo, Jordan, L. C. Practical Railway Spiral . . . . . . . . . . . . . . . . I2mo, leather, Joynson, F. H. Designing and Construction of Machine Gearing . . 8vo, Jüptner, H. F. V. Siderology: The Science of Iron , , , , , , * r * * * * * * 8vo, Kapp, G. Alternate Current Machinery. (Science Series No. 96.). 16mo, Kapper, F. Overhead Transmission Lines. . . . . . . . . . . . . . . . . . . . . . . 4to, Keim, A. W. Prevention of Dampness in Buildings . . . . . . . . . . . . . . 8vo, Keller, S. S. Mathematics for Engineering Students. 12mo, half leather. ––– and Knox, W. E. Analytical Geometry and Calculus. . . . . . . . . . Kelsey, W. R. Continuous-current Dynamos and Motors . . . . . . . . . 8vo, Kemble, W. T., and Underhill, C. R. The Periodic Law and the Hydrogen Spectrum. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, paper, Kemp, J. F. Handbook of Rocks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Kennedy, A. B. W., and Thurston, R. H. Kinematics of Machinery. (Science Series No. 54.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6mo, Kennedy, A. B. W., Unwin, W. C., and Idell, F. E. Compressed Air. (Science Series No. 106.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6mo, *2 *2 *2 OO OO OC 50 50 OO O O CO 50 50 OO 75 75 2 60 *O *I O O OO OO 50 OO OO OO 50 OO OO 50 OO OO OO 50 50 50 50 50 I () D. VAN NOSTRAND CO.'s SHORT TITLE CATALOG Kennedy, R. Electrical Installations. Five Volumes. . . . . . . . . . . . . 4to, Single Volumes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . each, — Flying Machines; Practice and Design. . . . . . . . . . . . . . . . . . . . I21m0, — Principles of Aeroplane Construction. . . . . . . . . . . . . . . . . . . . . . . . .8vo, Kennelly, A. E. Electro-dynamic Machinery. . . . . . . . . . . . . . . . . . . . 8vo, Kent, W. Strength of Materials. (Science Series No. 41.) . . . . . 16mo, Kershaw, J. B. C. Fuel, Water and Gas Analysis. . . . . . . . . . . . . . . . 8vo, Electrometallurgy. (Westminster Series.) . . . . . . . . . . . . . . . . . . 8vo, — The Electric Furnace in Iron and Steel Production . . . . . . . . . I2mo, — Electro-Thermal Methods of Iron and Steel Production. . . . 8vo, Kindelan, J. Trackman’s Helper. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Kinzbrunner, C. Alternate Current Windings. . . . . . . . . . . . . . . . . . . 8vo, Continuous Current Armatures . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Testing of Alternating Current Machines . . . . . . . . . . . . . . . . . . . 8vo, Kirkaldy, A. W., and Evans, A. D. History and Economics of Transport . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8VO, Kirkaldy, W. G. David Kirkaldy's System of Mechanical Testing. . 4to, Kirkbride, J. Engraving for Illustration . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Kirkham, J. E. Structural Engineering. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Kirkwood, J. P. Filtration of River Waters . . . . . . . . . . . . . . . . . . . . . 4to, Kirschke, A. Gas and Oil Engines . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Klein, J. F. Design of a High-speed Steam-engine . . . . . . . . . . . . . . 8vo, Physical Significance of Entropy . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Klingenberg, G. Large Electric Power Stations. . . . . . . . . . . . . . . . . 4to, Knight, R.-Adm. A. M. Modern Seamanship. . . . . . . . . . . . . . . . . . . .8vo, Knott, C. G., and Mackay, J. S. Practical Mathematics . . . . . . . . . . 8vo, Knox, G. D. Spirit of the Soil . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Knox, J. Physico-Chemical Calculations. . . . . . . . . . . . . . . . . . . . . . . 12mo, Fixation of Atmospheric Nitrogen. (Chemical Monographs.). 12mo, Koester, F. Steam-Electric Power Plants. . . . . . . . . . . . . . . . . . . . . . . 4to, —— Hydroelectric Developments and Engineering . . . . . . . . . . . . . . . 4to, Koller, T. The Utilization of Waste Products. . . . . . . . . . . . . . . . . . 8vo, Cosmetics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Koppe, S. W. Glycerine. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Kozmin, P. A. Flour Milling. Trans. by M. Falkner. . . . . . . . . .8vo, Rremann, R. Application of the Physico-Chemical Theory to Tech- nical Processes and Manufacturing Methods. Trans. by H. E. Potts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Kretchmar, K. Yarn and Warp Sizing. . . . . . . . , , , , , , , , , , , , , , , , . . 8vo, Laffargue, A. Attack in Trench Warfare. . . . . . . . . . . . . . . . 16mo, Lallier, E. W. Elementary Manual of the Steam Engine. . . . . . . . 12mo, Lambert, T. Lead and Its Compounds . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Bone Products and Manures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Lamborn, L. L. Cotton seed Products. . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Modern Soaps, Candles, and Glycerin. . . . . . . . . . . . . . . . . . . . . . 8vo, Lamprecht, R. Recovery Work After Pit Fires. Trans. by C. Salter. 8vo, Lancaster, M. Electric Cooking, Heating and Cleaning. . . . . . . . . . . 8vo, Lanchester, F. W. Aerial Flight. Two Volumes. 8vo. Vol. I. Aerodynamics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .I : . :k 2 . . : : : $ : 2 2 $ :. :. OO 50 50 OO 50 50 5O OO OO OO 50 50 OO OC) OO 5 O OO 5O 25 OO 50 OO 50 OO 25 25 OO OO OO OO 50 50 50 Vol. II. Aerodonetics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . :k >k >k : OO OO 50 OO 50 OO OO. 5O OO OO OO OO D. VAN NO STRAN ID CO.'S SHORT TITLE CATALO C. 17 Lanchester, F. W. The Flying Machine. . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *3 oo Lange, K. R. By-Products of Coal-Gas Manufacture. . . . . . . . . . . I2mo, 2 oo Larner, E. T. Principles of Alternating Currents . . . . . . . . . . . . . . . I2mo. *I 25 La Rue, B. F. Swing Bridges. (Science Series No. 107.). . . . . . . I6mo, o 50 Lassar–Cohn. Dr. Modern Scientific Chemistry. Trans. by M. M. Pattison Muir. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, *2 oo Latimer, L. H., Field, C. J., and Howell, J. W. Incandescent Electric Lighting. (Science Series No. 57.) . . . . . . . . . . . . . . . . . I6mo, o 50 Latta, M. N. Handbook of American Gas-Engineering Practice . . . 8vo, *4 50 —— American Producer Gas Practice . . . . . . . . . . . . . . . . . . . . . . . . . . 4to, *6 Oo Laws, B. C. Stability and Equilibrium of Floating Bodies. . . . . . . 8vo, *3 50 Lawson, W. R. British Railways. A Financial and Commercial Survey . . . . . . . • * * * * * * * * g. . . . . . .8V0, 2 OO Leask, A. R. Breakdowns at Sea . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, 2 OO —— Refrigerating Machinery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, 2 OO Lecky, S. T. S. “Wrinkles” in Practical Navigation. . . . . . . . . . . . . 8vo, Io oo Le Doux, M. Ice-Making Machines. (Science Series No. 46.) . . I6mo, o 50 Leeds, C. C. Mechanical Drawing for Trade Schools. . . . . . . oblong 4to, *2 oo — Mechanical Drawing for High and Vocational Schools. . . . . . . 4to, *I 25 Lefévre, L. Architectural Pottery. Trans. by H. K. Bird and W. M. Binns. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4to, *7 50 Lehner, S. Ink Manufacture. Trans. by A. Morris and H. Robson. 8vo, *2 50 Lemstrom, S. Electricity in Agriculture and Horticulture. . . . . . . 8vo, * 1 50 Letts, E. A. Fundamental Problems in Chemistry. . . . . . . . . . . . . . 8vo, *2 oo Le Van, W. B. Steam-Engine Indicator. (Science Series No. 78.)16mo, o 5o Lewes, V. B. Liquid and Gaseous Fuels. (Westminster Series.) . . 8vo, *2 oo Carbonization of Coal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *3 oo Lewis, L. P. Railway Signal Engineering . . . . . . . . . . . . . . . . . . . . . . . 8vo, *3 50 Lewis Automatic Machine Rifle ; Operation of . . . . . . . . . . . . . . . . . . 16mo, *o 75 Licks, H. E. Recreations in Mathematics. . . . . . . . . . . . . . . . . . . . . . 12mo, * 1 25 Lieber, B. F. Lieber's Five Letter Standard Telegraphic Code. . . 8vo, * 10 oo — Code. German Edition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *Io oo — — Spanish Edition. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *Io jo -- French Edition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *Io oo — Terminal Index. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *2 50 Lieber's Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . folio, * 15 od *-*. Handy Tables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4to, *2 50 — Bankers and Stockbrokers’ Code and Merchants and Shippers' Blank Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, * 15 od Ioo,000,000 Combination Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *Io oo Engineering Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, * 12 50 Livermore, V. P., and Williams, J. How to Become a Competent Motor- Iſlall . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, *I oo Livingstone, R. Design and Construction of Commutators . . . . . . . . 8vo, *2 25 — Mechanical Design and Construction of Generators. . . . . . . . . . . . 8vo, *3 5o Lloyd, S. L. Fertilizer Materials. . . . . . . . . . . . . . . . . . . . . . . . (In Press.) Lobben, P. Machinists’ and Draftsmen’s Handbook . . . . . . . . . . . . . 8vo, 2 50 Lockwood, T. D. Electricity, Magnetism, and Electro-telegraph . . . . 8vo, 2 50 — Electrical Measurement and the Galvanometer . . . . . . . . . . . . . 12mo, o 7: 18 D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Lodge, O. J. Elementary Mechanics. . . . . . . . . . . . . . . . . . . . . . . . . I2mo, —— Signalling Across Space without Wires . . . . . . . . . . . . . . . . . . . . 8vo, Loewenstein, L. C., and Crissey, C. P. Centrifugal Pumps. . . . . . . . . . . Lomax, J. W. Cotton Spinning. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Lord, R. T. Decorative and Fancy Fabrics. . . . . . . . . . . . . . . . . . . . . . 8vo, Loring, A. E. A Handbook of the Electromagnetic Telegraph . . . . I6mo — — Handbook. (Science Series No. 39.) . . . . . . . . . . . . . . . . . . . . . I6m, Lovell, D. H. Practical Switchwork. . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, Low, D. A. Applied Mechanics (Elementary) . . . . . . . . . . . . . . . . . . I6mo, Lubschez, B. J. Perspective . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Lucke, C. E. Gas Engine Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, —— Power Plants: Design, Efficiency, and Power Costs. 2 vols. (In Preparalion.) Luckiesh, M. Color and Its Application. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Light and Shade and Their Applications. . . . . . . . . . . . . . . . . . . 8vo, Lunge, G. Coal-tar and Ammonia. Three Volumes. . . . . . . . . . . . . . 8vo, –– Technical Gas Analysis. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, —— Manufacture of Sulphuric Acid and Alkali. Four Volumes. . . . 8vo, Vol. I. Sulphuric Acid. In three parts . . . . . . . . . . . . . . . . . . . . . . . . ——Vol. I. Supplement. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Vol. II. Salt Cake, Hydrochloric Acid and Leblanc Soda. In two parts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (In Press.) Vol. III. Ammonia Soda. . . . . . . . . . . . . . . . . . . . . . . . . . . . . (In Press.) Vol. IV. Electrolytic Methods. . . . . . . . . . . . . . . . . . . . . . . (In Press.) — — Technical Chemists’ Handbook . . . . . . . . . . . . . . . . . . . I2mo, leather, — Technical Methods of Chemical Analysis. Trans. by C. A. Keane in collaboration with the corps of specialists. Vol. I. In two parts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Vol. II. In two parts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Vol. III. In two parts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, The set (3 vols.) complete. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Luquer, L. M. Minerals in Rock Sections. . . . . . . . . . . . . . . . . . . . . . 8vo, Macewen, H. A. Food Inspection . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Mackenzie, N. F. Notes on Irrigation Works . . . . . . . . . . . . . . . . . . . 8vo, Mackie, J. How to Make a Woolen Mill Pay . . . . . . . . . . . . . . . . . . . 8vo, Maguire, Wm. R. Domestic Sanitary Drainage and Plumbing . . . .8vo, Malcolm, C. W. Textbook on Graphic Statics. . . . . . . . . . . . . . . . . . . .8vo, Malcolm, H. W. Submarine Telegraph Cable. . . . . . . . . . . . (In Press.) Mallet, A. Compound Engines. Trans. by R. R. Buel. (Science Series No. 10.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6mo, Mansfield, A. N. Electro-magnets. (Science Series No. 64.) . . . 16mo, Marks, E. C. R. Construction of Cranes and Lifting Machinery . I2mo, —— Construction and Working of Pumps. . . . . . . . . . . . . . . . . . . . . I2mo, — — Manufacture of Iron and Steel Tubes . . . . . . . . . . . . . . . . . . . . I2mo, —— Mechanical Engineering Materials . . . . . . . . . . . . . . . . . . . . . . . I2mo, Marks, G. C. Hydraulic Power Engineering . . . . . . . . . . . . . . . . . . . . 8vo, — — Inventions, Patents and Designs. . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Marlow, T. G. Drying Machinery and Practice . . . . . . . . . . . . . . . . . 8vo, I 50 *2 oo *4 5O I 50 *3 50 O 50 o 500 8o 50 OO *3 oo *2 50 *20 oo *4 oo *I 8 Oo 5 OO *3 50 *I5 od *I 8 oo * 18 oo *50 oo *I 50 *2 5o 2 50 *2 oo 4 OO *3 oc O 50 I 50 * 2 OO *I oo 3 50 I OO 5 Oo D. VAN NO STRAND CO.'S SHORT TITLE CATALOG IO Marsh, C. F. Concise Treatise on Reinforced Concrete . . . . . . . . . . 8vo, —— Reinforced Concrete Compression Member Diagram. Mounted on Cloth Boards. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Marsh, C. F., and Dunn, W. Manual of Reinforced Concrete and Con- crete Block Construction. . . . . . . . . 16mo, fabrikoid (ſil Press.) Marshall, W. J., and Sankey, H. R. Gas Engines. (Westminster Series.) 8vo, Martin, G. Triumphs and Wonders of Modern Chemistry. . . . . . . 8vo, — Modern Chemistry and Its Wonders. . . . . . . . . . . . . . . . . . . . . . . .8vo, Martin, N. Properties and Design of Reinforced Concrete . . . . . . I2mo, Martin, W. D. Hints to Engineers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Massie, W. W., and Underhill, C. R. Wireless Telegraphy and Telephony. I2mo, Mathot, R. E. Internal Combustion Engines. . . . . . . . . . . . . . . . .8VO, Maurice, W. Electric Blasting Apparatus and Explosives . . . . . . . . . 8vo, —— Shot Firer’s Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Maxwell, F. Sulphitation in White Sugar Manufacture. . . . . . . . 12mo, Maxwell, J. C. Matter and Motion. (Science Series No. 36.). I6mo, Maxwell, W. H., and Brown, J. T. Encyclopedia of Municipal and Sani- tary Engineering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4to, Mayer, A. M. Lecture Notes on Physics . . . . . . . . . . . . . . . . . . . . . . . 8vo, Mayer, C., and Slippy, J. C. Telephone Line Construction. . . . . . . . 8vo, McCullough, E. Practical Surveying. . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, —Engineering Work in Cities and Towns. . . . . . . . . . . . . . . . . . . . 8vo, — Reinforced Concrete . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, McCullough, R. S. Mechanical Theory of Heat . . . . . . . . . . . . . . 8vo, McGibbon, W. C. Indicator Diagrams for Marine Engineers. . . . . . . 8vo, — Marine Engineers’ Drawing Book. . . . . . . . . . . . . . . . . . . . . oblong 4to, McGibbon, W. C. Marine Engineers Pocketbook. . . . . . . . . . . . . . . . 12mo, McIntosh, J. G. Technology of Sugar . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Industrial Alcohol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Manufacture of Varnishes and Kindred Industries. Three Volumes. 8vo. - Vol. I. Oil Crushing, Refining and Boiling. . . . . . . . . . . . . . . . . . . . Vol. II. Varnish Materials and Oil Warnish Making . . . . . . . . . . . . . Vol. III. Spirit Varnishes and Materials. . . . . . . . . . . . . . . . . . . . . . . McKay, C. W. Fundamental Principles of the Telephone Business. 8vo. (In Press.) McKillop, M., and McKillop, A. D. Efficiency Methods. . . . . . . . . 12mo, McKnight, J. D., and Brown, A. W. Marine Multitubular Boilers . . . . . . McMaster, J. B. Bridge and Tunnel Centres. (Science Series No. 20.) I6mo, McMechen, F. L. Tests for Ores, Minerals and Metals . . . . . . . . I2mo, McPherson, J. A. Water-works Distribution . . . . . . . . . . . . . . . . . . . . 8vo, 1Meade, A. Modern Gas Works Practice. . . . . . . . . . . . . . . . . . . . . . . . .8vo, Meade, Alwyne. Modern Gas Works Practice. . . . . . . . . . . . . . . . . . 8vo, Meade, R. K. Design and Equipment of Small Chemical Laboratories, 8vo, Melick, C. W. Dairy Laboratory Guide . . . . . . . . . . . . . . . . . . . . . . . I2no, Mensch, L. J. Reinforced Concrete Pocket Book. . . . . . . . 16mo, leather, Merck, E. Chemical Reagents; Their Purity and Tests. Trans. by H. E. Schenck. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, : . : :: O *IO >!: >k : 3 >k º :k . *I I 50 . 50 OO OO OO 50 50 OO OO 5O 5O OO 5O OO OO 50 OC) 50 50 50 50 O O. 5C 50 5O 25 OO OO 2O D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Merivale, J. H. Notes and Formulae for Mining Students. . . . . 12mo, Merritt, Wm. H. Field Testing for Gold and Silver . . . . . 16mo, leather, Mertens. Tactics and Technique of River Crossings. Translated by W. Kruger. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Mierzinski, S. Waterproofing of Fabrics. Trans. by A. Morris and H. Robson . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Miessner, B. F. Radio Dynamics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2Ill0, Miller, G. A. Determinants. (Science Series No IoS.) . . . . . . . . 16mo, Miller, W. J. Introduction to Historical Geology. . . . . . . . . . . . . . I2m.0, Milroy, M. E. W. Home Lace-making . . . . . . . . . . . . . . . . . . . . . . . I2mo, Mills, C. N. Elementary Mechanics for Engineers. . . . . . . . . . . . . . . . 8vo, Mitchell, C. A. Mineral and Aerated Waters. . . . . . . . . . . . . . . . . . . . 8vo, Mitchell, C. A., and Prideaux, R. M. Fibres Used in Textile and Allied Industries. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Mitchell, C. F., and G. A. Building Construction and Drawing. I2mo. Elementary Course . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Advanced Course. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Monckton, C. C. F. Radiotelegraphy. (Westminster Series.) . . . . . 8vo, Monteverde, R. D. West Pocket Glossary of English-Spanish, Spanish- English Technical Terms. . . . . . . . . . . . . . . . . . . . . 64mo, leather, Montgomery, J. H. Electric Wiring Specifications. . . . . . . . . . . . . 16mo, Moore, E. C. S. New Tables for the Complete Solution of Ganguillet and Kutter’s Formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Morecroft, J. H., and Hehre, F. W. Short Course in Electrical Testing. 8vo, Morgan, A. P. Wireless Telegraph Apparatus for Amateurs. . . . 12mo, Moses, A. J. The Characters of Crystals. . . . . . . . . . . . . . . . . . . . . . . 8vo, and Parsons, C. L. Elements of Mineralogy. . . . . . . . . . . . . . . . . 8vo, Moss, S.A. Elements of Gas Engine Design.(Science Series No.121.) 16mo, —— The Lay-out of Corliss Valve Gears. (Science Series No. 119.)16mo, Mulford, A. C. Boundaries and Landmarks . . . . . . . . . . . . . . . . . . . I2mo, Mullin, J. P. Modern Moulding and Pattern-making . . . . . . . . . . I2mo, Munby, A. E. Chemistry and Physics of Building Materials. (West- minster Series.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Murphy, J. G. Practical Mining . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6mo, Murray, J. A. Soils and Manures. (Westminster Series.) , , , , , , , 8vo, Nasmith, J. The Student's Cotton Spinning . . . . . . . . . . . . . . . . . . . .8vo, Recent Cotton Mill Construction . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Neave, G. B., and Heilbron, I. M. Identification of Organic Compounds. I2mo, Neilson, R. M. Aeroplane Patents. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Nerz, F. Searchlights. Trans. by C. Rodgers. . . . . . . . . . . . . . . . . . 8vo, Neuberger, H., and Noalhat, H. Technology of Petroleum. Trans. by J. G. McIntosh . . . . . . . . . . . . . . . . . . . . . . . . . . e dº e e s e e s s a w s 8vo, Newall, J. W. Drawing, Sizing and Cutting Bevel-gears. . . . . . . . . . 8vo, Newell, F. H., and Drayer, C. E. Engineering as a Career. . 12mo, cloth, aper, Newbeging, T. Handbook for Gas Engineers and Managers... *: Nicol, G. Ship Construction and Calculations. . . . . . . . . . . . . . . . . . . 8vo, Nipher, F. E. Theory of Magnetic Measurements. . . . . . . . . . . . . I2mo, :: 5 :: >}:>k:: : :#: 2 :k : 50. 50. 50 50 OJ) OO OO OO OO. O O. 50 50 OO I OO. OO OO. 50 5O. OO OO. 5O 5O OO. 50 OO. I OO >}: 2 OO O O. 50 25 OO. OO OO 50 OO 75 50 OO D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG 2 I Nisbet, H. Grammar of Textile Design. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Nolan, H. The Telescope. (Science Series No. 51.) . . . . . . . . . . . 16mo, O 50 Norie, J. W. Epitome of Navigation. . . . . . . . . . . . . . . . . . . . . . . . . .0ctavo, 8 Oo — A Complete Set of Nautical Tables with Explanations of Their Use . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . octavo, 6 50 North, H. B. Laboratory Experiments in General Chemistry. . . . . 12mo, * 1 oo Nugent, E. Treatise on Optics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, I 50 O'Connor, H. The Gas Engineer's Pocketbook . . . . . . . . . 12mo, leather, 3 50 Ohm, G. S., and Lockwood, T. D. Galvanic Circuit. Translated by William Francis. (Science Series No. 1 oz.) . . . . . . . . . . . I6mo, o 50 Olsen, J. C. Text-book of Quantitative Chemical Analysis. . . . . . 8vo, 3 50 ‘Olsson, A. Motor Control, in Turret Turning and Gun Elevating. (U. S. Navy Electrical Series, No. 1.) . . . . . . . . . . . . . . . . . I2mo, paper, *o 50 Ormsby, M. T. M. Surveying. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, I 50 Oudin, M. A. Standard Polyphase Apparatus and Systems. . . . . . . . 8vo, *3 oo Owen, D. Recent Physical Research. . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Pakes, W. C. C., and Nankivell, A. T. The Science of Hygiene . .8vo, *I 75 Palaz, A. Industrial Photometry. Trans. by G. W. Patterson, Jr.. 8vo, *4 Oo Pamely, C. Colliery Manager’s Handbook. . . . . . . . . . . . . . . . . . . . . . 8vo, *Io oo Parker, P. A. M. The Control of Water. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *5 oo Parr, G. D. A. Electrical Engineering Measuring Instruments. . . .8vo, #3 50 Parry, E. J. Chemistry of Essential Oils and Artificial Perfumes, (In Press.) — Foods and Drugs. Two Volumes. Vol. I. Chemical and Microscopical Analysis of Foods and Drugs. *7 50 Vol. II. Sale of Food and Drugs Act. . . . . . . . . . . . . . . . . . . . . . . . . . . *3 oo — and Coste, J. H. Chemistry of Pigments. . . . . . . . . . . . . . . . . . . 8vo, *4 50 Parry, L. Notes on Alloys. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *3 oo — Metalliferous Wastes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *2 oo ––– Analysis of Ashes and Alloys. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *2 oo Parry, L. A. Risk and Dangers of Various Occupations. . . . . . . . . . . . 8vo, *3 oo Parshall, H. F., and Hobart, H. M. Armature Windings. . . . . . . . . . . . 4to, *7 50 —— Electric Railway Engineering. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4to, *Io oo Parsons, J. L. Land Drainage. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, * 1 50 Parsons, S. J. Malleable Cast Iron. . . . . . . . . . . . . . . . . . . . . . . . 8vo, *2 50 Partington, J. R. Higher Mathematics for Chemical Students. . 12mo, *2 oo — Textbook of Thermodynamics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8vo, *4 oo Passmore, A. C. Technical Terms Used in Architecture . . . . . . . . . . . . 8vo, *3 50 Patchell, W. H. Electric Power in Mines. . . . . . . . . . . . . . . . . . . . . . . 8vo, *4 oo Paterson, G. W. L. Wiring Calculations. . . . . . . . . . . . . . . . . . . . . . 12mo, *2 oo Electric Mine Signalling Installations. . . . . . . . . . . . . . . . . . . . . 12mo, * 1 50 Patterson, D. The Color Printing of Carpet Yarns. . . . . . . . . . . . . . . . . 8vo, *3 5o —— Color Matching on Textiles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, #3 oo — Textile Color Mixing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *3 oo Paulding, C. P. Condensation of Steam in Covered and Bare Pipes. 8vo, *2 oo Transmission of Heat through Cold-storage Insulation. . . . . . . 12mo, *I oo Payne, D. W. Iron Founders' Handbook. . . . . . . . . . . . . . . . . . . . . . . . 8vo, *4 oo Peckham, S. F. Solid Bitumens. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *5 od Peddie, R. A. Engineering and Metallurgical Books. . . . . . . . . . . . 12mo, *I 5o Peirce, B. System of Analytic Mechanics. . . . . . . . . . . . . . . . . . . . . . . . . 4to, IO Oo Linnear Associative Algebra. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4to, 3 Oo Pendred, V. The Railway Locomotive. (Westminster Series.) . . . . . 8vo, *2 oo 22 D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Perkin, F. M. Practical Methods of Inorganic Chemistry. . . . . . . . I2m.0, Perrin, J. Atoms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — and Jaggers, E. M. Elementary Chemistry. . . . . . . . . . . . . . . . I2m.0, Perrine, F. A. C. Conductors for Electrical Distribution. . . . . . . . . . . . 8vo, Petit, G. White Lead and Zinc White Paints. . . . . . . . . . . . . . . . . . . . . 8vo, Petit, R. How to Build an Aeroplane. Trans. by T. O’B. Hubbard, and J. H. Ledeboer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Pettit, Lieut. J. S. Graphic Processes. (Science Series No. 76.). . . 16mo, Philbrick, P. H. Beams and Girders. (Science Series No. 88.) . . . 16mo, Phillips, J. Gold Assaying. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — Dangerous Goods. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Phin, J. Seven Follies of Science. . . . . . . . . . . . . . . . . . . . . . . . . . . . I 2 m O, Pickworth, C. N. The Indicator Handbook. Two Volumes 12mo, each, — Logarithms for Beginners. . . . . . . . . . . . . . . . . . . . . . . . . 12 mo. boards, —— The Slide Rule. . . . . . . . . . . . . . . . . . . . . ... • . . . . . . . . . . . . . . . . . . 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(In Press.) Reid, H. A. Concrete and Reinforced Concrete Construction. . . . . .8vo, Reinhardt, C. W. Lettering for Draftsmen, Engineers, and Students. *6 *4 >k 4 i 3 * 2 50 50 50 º 50 50 50 OO OO OO 50 OO OO 50 35 50 OO OO 50 KO *** 50 25 50 50 50 50 25 50 OO OO OO oblong 4to, boards, OO I 24 D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Reinhardt, C. W. The Technic of Mechanical Drafting, Oblong, 4to, boards, Reiser, F. Hardening and Tempering of Steel. Trans. by A. Morris and H. Robson......... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Reiser, N. Faults in the Manufacture of Woolen Goods. Trans. by A. Morris and H. Robson. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, –– Spinning and Weaving Calculations. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Renwick, W. G. Marble and Marble Working. . . . . . . . . . . . . . . . . . . . 8vo, Reuleaux, F. The Constructor. Trans. by H. H. Suplee. . . . . . . . . 4to, Reuterdahl, A. 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Mechanical Integrators. (Science Series No. 83.) 16m.0, Shaw, S. History of the Staffordshire Potteries. . . . . . . . . . . . . . . . . 8vo, — Chemistry of Compounds Used in Porcelain Manufacture. . . .8vo, Shaw, T. R. Driving of Machine Tools. . . . . . . . . . . . . . . . . . . . . . . . I2m.0, — Precision Grinding Machines. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Shaw, W. N. Forecasting Weather. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Sheldon, S., and Hausmann, E. Direct Current Machines. . . . . . . . 12m.0, — Alternating Current Machines. . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Sheldon, S., and Hausmann, E. Electric Traction and Transmission Engineering. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, Physical Laboratory Experiments, for Engineering Students. .8vo, Shields, J. E. Notes on Engineering Construction. . . . . . . . . . . . . . 12mo, Shreve, S. H. 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Handbook of Testing, MATERIALS . . . . . . . . . . . . 8vo, Smith, C. A. M., and Warren, A. G. New Steam Tables. . . . . . . . . 8vo, Smith, C. F. Practical Alternating Currents and Testing. . . . . . . . 8vo, Practical Testing of Dynamos and Motors. . . . . . . . . . . . . . . 8vo, Smith, F. A. Railway Curves. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Standard Turnouts on American Railroads. . . . . . . . . . . . . . I2mo, — Maintenance of Way Standards. . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Smith, F. E. Handbook of General Instruction for Mechanics. . . 12mo, Smith, H. G. Minerals and the Microscope. . . . . . . . . . . . . . . . . . . . . I2m.0, Smith, J. C. Manufacture of Paint. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Smith, R. H. Principles of Machine Work. . . . . . . . . . . . . . . . . . . . I2m.0, — Advanced Machine Work. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Smith, W. Chemistry of Hat Manufacturing . . . . . . . . . . . . . . . . . . I2mo, Snell, A. T. Electric Motive Power. . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Snow, W. G. Pocketbook of Steam Heating and Ventilation. (In Press.) Snow, W. G., and Nolan, T. Ventilation of Buildings. (Science Series No. 5.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6mo, Soddy, F. Radioactivity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *3 *2 *2 *3 *6 *2 OO 50 50 OO 50 OO 50 OO OO OO 50 50 50 50 50 25 I 50 : :}: >k 50 50 OO OO OO OO OO 50 GO OO 50 25 50 OO OO OO 50 50 25 50 OO OO OO O 50 *3 OO D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG 27 Solomon, M. Electric Lamps. (Westminster Series.) . . . . . . . . . . . 8vo, Somerscales, A. N. Mechanics for Marine Engineers. . . . . . . . . . . I2m.0, — Mechanical and Marine Engineering Science. . . . . . . . . . . . . . . . . 8vo, Sothern, J. W. The Marine Steam Turbine. . . . . . . . . . . . . . . . 8vo, — Verbal Notes and Sketches for Marine Engineers. . . . . . . . . . . 8vo, Sothern, J. W., and Sothern, R. M. Elementary Mathematics for Marine Engineers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2m.0, — Simple Problems in Marine Engineering Design. . . . . . . . . . . . 12mo, Southcombe, J. E. Chemistry of the Oil Industries. (Outlines of In- dustrial Chemistry.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Soxhlet, D. H. Dyeing and Staining Marble. Trans. by A. Morris and H. Robson . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Spangenburg, L. Fatigue of Metals. Translated by S. H. Shreve. (Science Series No. 23.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16mo, Specht, G. J., Hardy, A. S., McMaster, J. B., and Walling. Topographical Surveying. 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(Science Series No. 28.) . I6mo, Stahl, A. W., and Woods, A. T. Elementary Mechanism . . . . . . . I2mo, Staley, C., and Pierson, G. S. The Separate System of Sewerage. . .8vo, Standage, H. C. Leatherworkers’ Manual . . . . . . . . . . . . . . . . . . . . . . 8vo, —— Sealing Waxes, Wafers, and Other Adhesives . . . . . . . . . . . . . . . 8vo, —— Agglutinants of all Kinds for all Purposes. . . . . . . . . . . . . . . . . I2nno, Stanley, H. Practical Applied Physics. . . . . . . . . . . . . . . . . . . (In Press.) Stansbie, J. H. Iron and Steel. (Westminster Series.) . . . . . . . . . . 8vo, Steadman, F. M. Unit Photography. . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, Stecher, G. E. Cork. Its Origin and Industrial Uses. . . . . . . . . . 12mo, Steinman, D. B. Suspension Bridges and Cantilevers. (Science Series No. 127.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . — Melan’s Steel Arches and Suspension Bridges. . . . . . . . . . . . . . 8vo, Stevens, E. J. Field Telephones and Telegraphs. . . . . . . . . . . . . . . . . . Stevens, H. P. Paper Mill Chemist . . . . . . . . . . . . . . . . . . . . . . . . . . 16mo, Stevens, J. S. Theory of Measurements. . . . . . . . . . . . . . . . . . . . . . I2m.0, Stevenson, J. L. Blast-Furnace Calculations. . . . . . . . . . . 12mo, leather, Stewart, G. Modern Steam Traps . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Stiles, A. Tables for Field Engineers. . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Stodola, A. Steam Turbines. Trans. by L. C. Loewenstein. . . . . . . 8vo, Stone, H. The Timbers of Commerce . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Stopes, M. Ancient Plants. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — The Study of Plant Life . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Sudborough, J. J., and James, T. C. Practical Organic Chemistry. . 12mo, Suffling, E. R. Treatise on the Art of Glass Painting . . . . . . . . . . . . 8vo, Sullivan, T. V., and Underwood, N. Testing and Valuation of Build- : >k 3*2 :: :k :: : OO OO OO OO OO 5O OO 50 50 50 50 50 25 50 OO 5O 50 53 75 OO OO 50 OO 50 OO OO I OO 5O OO OO 5O 25 OO 25 OO OO 5O OO OO OO 50 ing and Engineering Materials. . . . . . . . . . . . . . . . . . . . (In Press.) 28 D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Sur, F. J. S. Oil Prospecting and Extracting. . . . . . . . . . . . . . . . . . . 8vo, *I oo Svenson, C. L. Handbook on Piping. . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, 4 Oc — Essentials of Drafting. . . . . . . . . . . . . . . . . . ' s e e s = e s • * * * * * * * * * * * * 8vo, I 50 Swan, K. Patents, Designs and Trade Marks. (Westminster Series.). 8vo, *2 oo Swinburne, J., Wordingham, C. H., and Martin, T. C. Electric Currents. (Science Series No. Io9.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6mo, O 50 Swoope, C. W. Lessons in Practical Electricity. . . . . . . . . . . . . . . . I2mo, *2 oo Tailfer, L. Bleaching Linen ard Cotton Yarn and Fabrics. . . . . .8vo, 6 oo Tate, J. S. Surcharged and Different Forms of Retaining-walls. (Science Series No. 7.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I6mo, O 50 Taylor, F. N. Small Water Supplies. . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, *2 50 — Masonry in Civil Engineering. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *2 50 Taylor, T. U. Surveyor’s Handbook. . . . . . . . . . . . . . . . . . . 12mo, leather, *2 oo — Backbone of Perspective. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, *I oo. Taylor, W. P. Practical Cement Testing. . . . . . . . . . . . . . . . . . . . . . 8vo, *3 oo Templeton, W. Practical Mechanic’s Workshop Companion. I2mo, morocco, 2 OO. Tenney, E. H. Test Methods for Steam Power Plants. (Van - Nostrand’s Textbooks.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, *2 50 Terry, H. L. India Rubber and its Manufacture. (Westminster Series.) 8vo, *2 oo Thayer, H. R. Structural Design. 8vo. Vol. I. Elements of Structural Design. . . . . . . . . . . . . . . . . . . . . . . . *2 oo Vol. II. Design of Simple Structures. . . . . . . . . . . . . . . . . . . . . . . . . . *4 oo Vol. III. Design of Advanced Structures. . . . . . . . (In Preparation.). — Foundations and Masonry. . . . . . . . . . . . . . . . . . . . (In Preparation.) Thiess, J. B., and Joy, G. A. Toll Telephone Practice . . . . . . . . . . . . 8vo, *3 5o Thom, C., and Jones, W. H. Telegraphic Connections. . . . oblong, 12mo, I 5o Thomas, C. W. Paper-makers' Handbook . . . . . . . . . . . . . . . . (In Press.) Thomas, J. B. Strength of Ships. . . . . . . . . . .* - - - - - - - - - - - - - - - - - - - - 8vo, 3 oo Thompson, A. B. Oil Fields of Russia . . . . . . . . . . . . . . . . . . . . . . . . . 4to, *7 5o Oil Field Development. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 50 Thompson, S. P. Dynamo Electric Machines. (Science Series No. 75.) w I6mo, o 50 Thompson, W. P. Handbook of Patent Law of All Countries . . . . . I6mo, I 5o Thomson, G. Modern Sanitary Engineering. . . . . . . . . . . . . . . . . . . . I2mo, *3 oo Thomson, G. S. Milk and Cream Testing . . . . . . . . . . . . I2mo, *I 75 — Modern Sanitary Engineering, House Drainage, etc. . . . . . . . . . 8vo, *3 oo Thornley, T. Cotton Combing Machines. . . . . . . . . . . . . . . . . . . . . . . 8vo, *3 oo Cotton Waste . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *3 oo Cotton Spinning. 8vo. First Year. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . *I 5o Second Year. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . *3 oo Third Year . . . . . . . . . .* * * * * . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . *2 50 Thurso, J. W. Modern Turbine Practice . . . . . . . . . . . . . . . . . . . . . . . 8vo, *4 oo Tidy, C. Meymott. Treatment of Sewage. (Science Series No. 94.)16mo, o 5o Tillmans, J. Water Purification and Sewage Disposal. Trans. by Hugh S. Taylor. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, *2 oo Tinney, W. H. Gold-mining Machinery. . . . . . . . . . . . . . . . . . . . . . . . 8vo, *3 oo Titherley, A. W. Laboratory Course of Organic Chemistry. . . . . . . .8vo, *2 oo D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG Tizard, H. T. Indicators, & & d 4 & a s & s a & & .© º e º e º e º s • e e . . . . (In Press.) Toch, M. Chemistry and Technology of Paints. . . . . . . . . . . . . . . .8vo, Materials for Permanent Painting. . . . . . . . . . . . . . . . . . . . . . . . I2mo, Tod, J., and McGibbon, W. C. Marine Engineers' Board of Trade Examinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Todd, J., and Whall, W. B. Practical Seamanship. . . . . . . . . . . . . . .8vo, Tonge, J. Coal. (Westminster Series.) . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Townsend, F. Alternating Current Engineering. . . . . . . . . . . 8vo, boards, Townsend, J. S. Ionization of Gases by Collision. . . . . . . . . . . . . . . 8vo, Transactions of the American Institute of Chemical Engineers, 8vo. Eight volumes now ready. Vol. I. to IX., 1908-1916. Vol. X. In Press. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, each, Traverse Tables. (Science Series No. 115.) . . . . . . . . . . . . . . . . . ... I6mo, - morocco, Treiber, E. Foundry Machinery. Trans. by C. Salter. . . . . . . . . I2m.0, Trinks, W., and Housum, C. Shaft Governors. (Science Series No. 122.) 16mo, Trowbridge, W. P. Turbine Wheels. (Science Series No. 44.). 16mo, Tucker, J. H. A Manual of Sugar Analysis . . . . . . . . . . . . . . . . . . . . 8vo, Tunner, P. A. Treatise on Roll-turning. Trans. by J. B. Pearse. 8vo, text and folio atlas, Turnbull, Jr., J., and Robinson, S. W. A Treatise on the Compound Steam-engine. (Science Series No. 8.) . . . . . . . . . . . . . . . I6mo, Turner, H. Worsted Spinners' Handbook. . . . . . . . . . . . . . . . . . . . . . I2m.0, Turrill, S. M. Elementary Course in Perspective . . . . . . . . . . . . . . 12mo, Twyford, H. B. Purchasing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8vo, Storing, Its Economic Aspects and Proper Methods. . . . . . . . . . 8vo, Tyrrell, H. G. Design and Construction of Mill Buildings. . . . . . . . 8vo, Concrete Bridges and Culverts. . . . . . . . . . . . . . . . . . . . 16mo, leather, — Artistic Bridge Design. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Underhill, C. R. Solenoids, Electromagnets and Electromagnetic Wind- ings. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Underwood, N., and Sullivan, T. W. Chemistry and Technology of Printing Inks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Urquhart, J. W. Electro-plating. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, —— Electrotyping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I2mo, Usborne, P. O. G. Design of Simple Steel Bridges . . . . . . . . . . . . . . 8vo, Vacher, F. Food Inspector's Handbook . . . . . . . . . . . . . . . . . . . . . . . . . 12mo, Van Nostrand’s Chemical Annual. Fourth issue 1918. leather, 12mo, — Year Book of Mechanical Engineering Data. . . . . . . . . (In Press.) Van Wagenen, T. F. Mantial of Hydraulic Mining . . . . . . . . . . . . . 16mo, Vega, Barcn Von. Logarithmic Tables. . . . . . . . . . . . . . . . . . . .8VO, Vincent, C. Ammonia and its Compounds. Trans. by M. J. Salter. 8vo, Volk, C. Haulage and Winding Appliances . . . . . . . . . . . . . . . . . . . . .8vo, Von Georgievics, G. Chemical Technology of Textile Fibres. Trans. by C. Salter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, —— Chemistry of Dyestuffs. Trans. by C. Salter . . . . . . . . . . . . . . .8vo, Vose, G. L. Graphic Method for Solving Certain Questions in Arithmetic *4 *2 *2 *2 :I : 3 IO OO OO OO OO OO 75 25 OO 50 OO 50 50 50 50 OO OO 25 OO OO OO OO OO OO OO OO OO OO OO OO 50 O O OO 50 and Algebra (Science Series No. 16.) . . . . . . . . . . . . . . . . 16mo, 50 3O D. VAN NOSTRAND CO.'S SHORT TITLE CATALOG. Vosmaer, A. Ozone. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Wabner, R. Ventilation in Mines. Trans. by C. Salter . . . . . . . . . . 8vo, Wade, E. J. Secondary Batteries. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Wadmore, T. M. Elementary Chemical Theory. . . . . . . . . . . . . . . I2mo, Wadsworth, C. Primary Battery Ignition. . . . . . . . . . . . . . . . . . . . . I2mo, Wagner, E. Preserving Fruits, Vegetables, and Meat. . . . . . . . . . I2mo, Wagner, J. B. A Treatise on the Natural and Artificial Processes of Wood Seasoning. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Waldram, P. J. Principles of Structural Mechanics. . . . . . . . . . . . 12mo, Walker, F. Aerial Navigation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, — — Dynamo Building. (Science Series No. 98.) . . . . . . . . . . . I6mo, Walker, J. Organic Chemistry for Students of Medicine. . . . . . . . 8vo, Walker, S. F. Steam Boilers, Engines and Turbines. . . . . . . . . . . . 8vo, —— Refrigeration, Heating and Ventilation on Shipboard. . . . . . . 12mo, —— Electricity in Mining. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8vo, Wallis-Tayler, A. J. 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