CORNELL UNIVERSITY LIBRARY •ell University Library ^™!f]fii™.I,.S',''"*'9"f8 logarithms. o.in,an^ ^^24 031 296 795 Cornell University Library The original of this book is in the Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924031296795 TABLES SIX-FIGURE LOGARITHMS. LOSTDOH : PfilNTSD BT BFOTTISWOODB AlfT CO. ITBW-STBBET SQUA&B, TABLES SIX-FIGURE LOGARITHMS; CONTAINING THE LOGAEITHMS OP NUMBERS PEOM 1 TO 10,000, OF SINES AND TANGENTS FOE ETEKY MINUTE OF THE QUADRANT, AND OF SINES BOB EVERY SIX SECONDS OF THE FIRST TWO DEGREES. TO WHICH AHE ADDED, rOBMULJE rOR THE SOLUTION OP PLANE AND SPHEEICAL TEIANGLES, AND A TABLE OP CONSTANTS. SUrEBINTENDED BY RICHARD FARLEY, OP THE NAUTICAL ALMANAC OPPICB. Jjtereatsjietr «Krtttoii. LONDON LONGMAN, BROWN, GREEN, LONGMANS, &lEOBEETS. 1859 PREFACE. The present publication has been undertaken for the purpose of furnishing computers with a more conve- nient table of six-figure logarithms than has hitherto been published in a separate form. The logarithmic tables in general use, as those of Sherwin, Hutton, and Callet, which contain the lo- garithms of the natural numbers up to 100,000 (or beyond), and of the trigonometrical lines for every 10 seconds, to seven decimal' places,' being unnecessarily extensive for most ordinary purppses, and inconvenient on account of their bulk, various abridged tables have been published from time to time in different forms, containing a greater or less number of logarithms, and to five or six places, according to the purposes for which they were chiefly destined by their editors. Of such smaller or abridged tables, the- best known is that of Lalande, in 18mo., of which an edition, improved in typography and appearance, and rendered more con- venient for general use by omitting the characteristics of the logarithms of the natural numbers, was pub- lished in London, in 1839, under the superintendence of the Society for the Diffusion of Useful Knowledge. It contains the logarithms of the natural numbers up to A 3 VI PRErACE. lOjOOO, and of the sines and tangents for every minute to five places of decimals. For many astronomical computations and reductions, where only small quantities are concerned, or a rough approximation is required, logarithms to five decimals are sufficient ; but in many of the cases of most frequent occurrence in practical mathematics, they do not afford the requisite precision. This inconvenience is felt more particularly in Surveying and Navigation; and hence the Requisite Tables used in the navy, and works on navigation in general, contain the logarithms to six decimal places. In fact, in all trigonometrical com- putations in which results are required to be found correct to single seconds, or even two or three seconds, logarithms of six figures are indispensable. In the present collection the logarithms of the numbers are arranged according to the mode adopted in CaUet's table. The three first figures of the number are placed in the first column of the page, headed N., and the last figure at the top and foot of the succeeding columns. The two first figures of the logarithm are placed in the second column, and not repeated ; and the remaining four in the column indicated by the fourth figure of the number. A blank space marks the change of the second figure of the logarithm ; and when the change takes place, the three first digits of the corresponding number in the first column are repeated (which is not done in CaUet's table), by which means the four last figures of the logarithm always stand in the same line with the three first of the corresponding number, and PREFACE. some chances of mistake are avoided in seeking the num- ber corresponding to a given logarithm. The last column of the page, headed D., contains the differences. They are, of course, the mean differences of the ten belonging to the same line of logarithms ; but it can very rarely happen that an error will be made in the last figure of a logarithm or number by using the mean instead of the true difference when the two happen not to be the same. By adopting this arrangement instead of placing each logarithm after its natural number, two advantages are obtained. In the first place, there is only one column of natural numbers on the page ; and in the second place, as the page admits of a much greater number of loga- rithms, without any sacrifice of distinctness, the finding of the logarithm to any number, or vice versd, is rendered much easier in consequence of the greater number brought under the eye at once. In Lalande's table, the logarithms of numbers occupy 112 pages, in this table they occupy only 22 pages. At the end of this table is given a page of the loga^- rithms of the numbers from 1000 to 1200, correct to seven figures: they are sometimes required in cal- culations of compound interest, &c. In-the trigonometrical table the differences are given not for the whole minutes, as in Lalande's table, but for every 100", whereby considerable facility is afforded in the use of the table. To find the difference correspond- ing to any given number of seconds, it is only necessary to multiply the tabular difference by the number, and strike off the two last figures. A 4 PRErACE. To this table is added another short table, containing the logarithms of the sines for every six seconds (or tenth of a minute) of the two first degrees. This will often be found useful in computations where small angles occur/ and precision is required. The formulae for the solution of triangles are adapted to logarithmic computation, and include all the cases of ' plane and spherical triangles. As most persons who have occasion to make trigonometrical calculations fre- quently find it necessary to refer to the formulas, it was considered that their insertion would render the work a more useful manual. The table of constant numbers will be found a useful addition to the mathematical student. A few of those numbers, relative to the circle, were given by Lalande and Callet. A more extensive list was given in Bab- bage's Logarithms, to which considerable additions were made in the Society's table before mentioned. In the present work the collection is still fiu-ther augmented. No trouble has been spared to render the work not only generally correct, but, if possible, absolutely free from error. For this purpose the publishers placed it in the hands of Mr. Farley, whose experience and accuracy in such matters are well known, and the fol- lowing is the course of examination that was pursued. The logarithms of numbers were set up from a copy of Riddle's Navigation, 2d edit. ; the proofs were read with Vega's Tables (which are to 10 places) ; examined entirely by differences, and then stereotyped; proofs from the stereotype plates were then read with Callet's PREFACE. IX Tables (which are to 7 places), and the whole again examined by differences, after which the impression was ^ worked off. The logarithms of sines and tangents were ex- amined in a similar manner; the differences for 100" were obtained by increasing those for 1', as indicated hy the six-figure logarithms, by two thirds of themselves ; this was done both in the original and stereotype proofs. With respect to typography, it has been thought ad- visable to follow the example recently set by the Society for the Diffusion of Useful Knowledge in returning to the use of the old numerals. Figures of this fomi are used in all the French tables ; and there can be no doubt that they are greatly preferable, in point of dis- tinctness, to the numerals of uniform height used in modern English works. AS INTEODUCTIOF. OF THE USE OF THE TABLES. In th6 table of the logarithms of numbers all the logarithms are supposed to have the decimal point prefixed to them, and the corresponding natural numbers may be either integers, or decimals, or mixed numbers ; the decimal part of the logarithm being the same for all numbers expressed by the same significant digits placed in the same order. The characteristic or index of a logarithm is a whole number placed before the decimal point, for the purpose of characterising the natural number, or indicating the deno- minations of its several digits, which it does by expressing the distance of its first or left hand figure from the units' place. The characteristic may be positive or negative, and must be supplied according to the following rules : — 1. The characteristic of the logarithm of a number greater than unity is positive, and equal to one less than the number of integer places. 2. The characteristic of the logarithm of a number less than unity is negative, and equal to one added to the number of zeros following the decimal point. The decimal part of the logarithm being always positive, it ia usual to distinguish a negative characteristic by putting the sign - over it instead of before it. Thus the logarithm of -0692 is written'2-840106, instead of- 2-840106. xu INTKODUCTION. The a' ove rules may be illustrated by the following example : — Number. Logarithm. 3719 .... 3-570426 371-9 . . 2-570426 37-19 . . 1-570426 3-719 . 0-570426 -3719 . 1-570426 •03719 . . 2-570426 -003719 . . 3-570426 Instead of employing negative characteristics it is generally more convenient to use their arithmetical complements to 10 ; thus, instead of the three last logarithms it is more usual to write 9-570426, 8-570426, 7-570426 respectively. This is equivalent to adding 10 to the characteristic, and conse- quently when a characteristic is thus written, it is necessary, at some subsequent stage of the computation, to diminish the characteristic by the ten (or tens) supposed to have been previously added. Problem I. To find the logarithm of a given number. Case 1. If the given number consists of four figures, look for the three first figures of the number in the column of numbers headed N , and for the last figure in the line at the top or foot of the page. Then the two first figures of the logarithm will be found in the column headed 0, either in the same line with the three first figures of the number, or in a line imme- diately above, and the four last figures in the column at the head of which the last figure of the number stands, and in the same line with the three first figures of the number. To this must be prefixed the characteristic according to the preceding rules. For example, let the proposed number be INTEODUCTION. XIU 532-7 ; the decimal part of the logarithm found in the table is '726483, to which prefixing the characteristic 2, the com- plete logarithm is 2-726483. K the proposed number consists of only three figures, a zero preceded by the decimal point may be supposed to be placed after it ; and if it consist of only two figures, its loga- rithm will be found in the table on the first page. Peoblem II. To find the logarithm of a number consisting of five or six figures. Find the logarithm of the four first figures as directed in the last problem; multiply the difference which stands in the same line in the last column (headed D.) of the page by the fifth figure, and add the tenth part of the product to the logarithm of the four first figures ; multiply the same dif- ference by the sixth figure, and add also the 100th part of the product, and to the sum thus obtained prefix the proper characteristic. In taking the 10th or 100th part of the product of the difference by the given figure, if the first rejected figure is 5 or a higher number, care must be taken to add 1 to the preceding figure. Example I. Required the logarithm of 13647. log. 1364 -134814 318 X 7 222,6 Example 2. log. 851-762 = 2-930319 Towards the latter end of the table, the last figure of the log. 13647 = 4-135037 Required the logarithm of 851-762, log. 8517 •930287 51 X 6 30,6 51 X 2 1,02 XIV INTRODUCTION. logarithm will sometimes differ by unity (in excess or defect) from its true value, when the natural number consists of six figures. In the present case, the true logarithm, to seven places, is 2-9303182. Pkoblem III. To find the number corresponding to a given logarithm. Find the two first figures of the proposed logarithm in the second column headed 0, and look for the remaining four figures in the same line, or one of the lines immediately fol- lowing. If the logarithm is found exactly, then the three first figures of the number sought will be found in the same line in the first column, headed N., and the fourth figure at the head or foot of the column in which the logarithm was found. But if the proposed logarithm is not found in the table, then take the number corresponding to the tabular logarithm next less, and in order to find the fifth and sixth figures proceed as follows : — From the given logarithm subtract the tabular logarithm, which is next less ; add two zeros to the remainder, divide the remainder thus increased by the number which stands in the same line in the column of differences, and annex the quotient to the number corresponding to the next less loga- rithm in the table. Example. Required the number corresponding to the logarithm 2-148179. 2-148179 given log. log. 140-6 = 2-147985 neares t less. D. 309)194-00(63 nearly. 63 185-4 140-663 860 927 or the required number is 140-663. rNTRODUCTION. Problem IV. To multiply together two or more numbers. Add togetier the logaritlims of the several numbers, and the sum will be the logarithm of their product. Example 1. Required the product of 74, 119, and 7-236. log. log. log. 74 119 7-236 = 1-869232 2-075547 0-859499 log. 63720 4-804278 4-804276 03 D. 68)200(03 204 product 63720-3 Which is true to 5 places. The exact product is 63720-216. Example 2. Required the product of 1-4735, 0-82561, and 0-002673. log. 1-4735 - 0-168351 log. 0-82561 = 9-916775 log. 0-002673 = 7-426999 7-512125 log. -003251 = 7-512017 D. 133)1080(8 8 1064 product -0032518 Here 10 was added to the characteristic both of the second and third factor; therefore, subtracting 20 from the sum 17 (the 7 only is written), the characteristic becomes — 3, or its complement + 7, indicating that the first significant figure must occupy the third place to the right of the decimal point. Problem V. To divide- one number by another. Subtract the logarithm of the divisor from that of the dividend, and the remainder is the logarithm of the quotient. ?1 INTRODUCTION. Example. Divide 45-763 by -08651. log. 45-763 = 1-660515 log -08651 - 8-937066 2-723449 log. 528-9 2-72 3374 D. 82)7500(91 91 738 quotient 528-991 120 82 Here 10 was added to the characteristic of the logarithm of the divisor, and also to that of the dividend in the subtraction ; wherefore the characteristic of the logarithm is positive. From this it is obvious, that the logarithm of a vulgar fraction wiU be found, by subtracting the logarithm of the denominator from the logaritlim of the numerator. Problem VI. To find any power of a given number. Multiply the logarithm of the given number by the expo- nent of the power, and the product is the logarithm of the power required. Example 1. What is the cube of 3-1416 ? log. 3-1416 = 0-497151 3 1-491453 log. 31-00 = 1-491362 65 D. 140)9100(65 cube 31-0065 840 700 Example 2. Eequired the 5th power of the decimal 142857. log. -142857 = 9-154902 5 5-774510 power -00005950 ESfTRODUCTlON. XVU Here the characteristic of the logarithm of the given number having been augmented by 10, that of the product, which is 45, must be diminished by 10 x 5 = 50, so that the true characteristic is — 5, of which the complement is + 5. Peoblem Vn. To find any root of a given number. Divide the logarithm of the given number by the index of the root, and the quotient is the logarithm of the root. Example 1. Eequired the square root of 39-1393. log. 39-1393 = 1-592613 quotient by 2 log. 6-256 = 0-796307 = 0-796297 14 root 6-25614 D. 69)1000(14 69 310 276 lie 2. Eequired the 4th root of -43429. log. -43429 = T-637780 quotient by 4 log. -8117 = 1-909445 = T-909396 9 root -81179 D. 54)490(9 486 When the given number or power is a decimal, as in the last example, the following rule is to be observed with respect to the characteristic :— Add to the characteristic of the logarithm of the proposed number as many tens as there are units in the index of the required root, divide by the index, and subtract 10 from the integral part of the quotient. In the above example, the addition of 40 to the negative characteristic T, gives 39-637780 for the logarithm, on di- XVlll INTRODtJCTION. viding which by 4 we have 9-909445 for the quotient, and deducting 10 there results r-909445 for the logarithm of the required root ; whence the root itself is "81179 Problem VIII. To find the logarithmic sine, cosine, tan- gent, or cotangent of a given arc, expressed in degrees, minutes, and seconds. Find the logarithm in the table corresponding to the given number of degrees and minutes.. Multiply the tabular differ- ence for 100" by the given number of seconds ; strike off the two last figures, and add the result to the tabular logarithm if it is that of a sine or tangent, but subtract the result from the tabular logarithm if it is that of a cosine or cotangent. Note. — Observe that in the trigonometrical table all the characteristics are augmented by 1 0. Example 1. Find the logarithmic sine of 7" 18' 20". log. sine 7° 18' = 9-104025 Diff. 1642 X 20 328,40 log. sine 7° 18' 20" = 9-104353 Example 2. Find the logarithmic cosine of 81° 38' 40". log. cos. 81° 38' = 9-162885 Diff. 1433 X 40 573,20 log. cos. 81° 38' 40" =9-162312 Problem IX. To find the arc in degrees, minutes, and se- conds, corresponding to a given logarithmic sine, cosine, tangent, or cotangent. Find the tabular logarithm next less (if a sine or tangent) or next greater (if a cosine or cotangent) than the given logarithm, and write down the corresponding degrees and INTRODUCTION. XIX minutes. Take the difference between the given logarithm and the tabular logarithm thus found, annex two zeros, and divide by the tabular difference ; the quotient will be the number of seconds. Example 1. Eequired the arc, whose logarithmic tangent is 9-152697. given log. 9-152697 log. tan. 8° 5' 0" = 9-152363 22 Diff. 1510)33400(22 arc. 8 5 22 3020 3200 3020 Example 2. Eequired the arc, whose logarithmic cotan- gent is 9-782676. given log. 9-782676 log. cot. 58° 46' 0" = 9-782771 20 Diff. 475)9500(20 arc. 58 46 20 9500 When an arc exceeds 90°, the logarithm of its sine or tan- gent is found by taking the logarithm of the sine or tangent of its supplement, or more simply, the logarithm of the co- sine or cotangent of its excess above 90°. Thus the loga- rithmic sine of 117° 15' is the same as the logarithmic sine of the supplement 62° 45', or as the log. cosine of 27° 15'. And the logarithmic cosine of the same arc is equal to the logarithmic sine of 27° 15'. LOGARITHMS NUMBERS 1 TO 10,000. No. Log. N'o. I Lost. No. Log. No. Log. I 3 + 5 O'OOOOOO 0-301030 0-477121 o-6o2o6o 0-698970 26 27 28 29 30 1-414973 1-431364 1-447158 1-462398 1-477121 51 5» 53 54 55 1-707570 1-716003 1-724276 1-732394 1-740363 76 77 78 80 1-880814 1-886491 1-892095 1-897627 1-903090 6 7 8 9 lO 0-778I5I 0-845098 0-903090 0-954243 I ' 000000 3» 32 33 34 35 1-491362 1-505150 1-518514 1-531479 1-544068 56 11 60 1-748188 1-755875 1-763428 1-770852 1-778151 81 82 84 85 1-908485 1-913814 1-919078 1-924279 1-929419 II 12 "3 14 '5 I-04I393 I-079I8I I-II3943 I- 14.6128 1-176091 36 37 38 39 40 1-556303 1-568202 1-579784 1-591065 1-602060 61 62 64 65 1-785330 1-792392 1-799341 1-806180 1-812913 86 87 88 89 90 1-934498 1-939519 1-944483 1-949390 '•954*43 i5 17 iH '9 20 I -204120 1-230449 1-255273 1-278754 1-301030 41 42 43 44 4; 1-612784 1-623249 1-633468 1-643453 1-653213 66 67 68 69 70 1-819544 1-826075 1-832509 1-838849 1-845098 91 92 93 94 95 1-959041 1-963788 1-968483 1-973128 1-977724 21 22 23 24. 25 1-322219 1-342423 1-361728 1-380211 1-397940 46 47 48 49 50 1-662758 1-672098 1-681241 1-690196 1-698970 71 72 73 74 75 1-851258 1-85733* 1-863323 1-869232 1-875061 96 97 98 99 100 1-982271 1-986772 1-991226 1-995635 2-000000 N. 1 2 3 4 5 6 7 8 9 D. 100 lOI 102 102 103 104 104 000000 4321 8600 01 2837 7033 02 0434 4751 9026 3259 7451 0868 5181 9451 3680 7868 1301 5609 9876 4100 8284 1734 6038 0300 4521 870G 2166 6466 0724 4940 9116 2598 6894 1 147 5360 953* 3029 7321 1570 5779 9947 3461 7748 1993 6197 0361 3891 8174 2415 6616 0775 43* 428 4*4 420 416 105 106 107 107 108 109 loq I189 5306 9384 03 3424 7426 04 1603 5715 9789 3826 7825 2016 6125 0195 4227 8223 2428 6533 0600 4628 8620 2841 6942 1004 5029 9017 3252 7350 1408 5430 9414 3664 7757 1812 5830 9811 4075 8164 2216 6230 0207 4486 8571 2619 6629 0602 4896 8978 3021 7028 0998 412 408 404 400 ?97 lie II I 112 '393 5323 9218 1787 5714 9606 2182 6105 9993 2576 6495 2969 6885 3362 7275 7664 4148 8053 4540 8442 493* 8830 393 389 ± 1 2 3 1 4 5 6 7 8 9 D. 'n. I 2 3 4 5 6 7 8 9 D. IIZ OS 0380 0766 "53 1538 1924 2309 2694 386 113 3078 3463 3846 4230 4613 4996 5378 5760 6142 6524 383 114 ^6905 7286 7666 8046 8426 8805 9185 9563 9942 "-H 06 0320 379 "1 069S 1075 1452 1829 2206 2582 2958 3333 3709 4083 376 116 4458 4832 5206 5580 5953 6326 6699 7071 7443 7815 373 117 8186 8557 8927 9298 9668 117 07 0038 0407 0776 "45 1514 370 118 1882 2250 2617 2985 3352 3718 4085 4451 4816 5182 366 119 5547 5912 6276 6640 7004 7368 7731 8094 8457 8819 363 120 9181 9543 9904 120 08 0266 0626 0987 1347 1707 2067 2426 360 121 2785 3144 35°3 3861 4219 4576 4934 5291 5647 6004 357 122 6360 67.6 7071 7426 7781 8136 8490 8845 9198 95S» 355 123 9905 123 09 0258 0611 0963 1315 1667 2018 2370 2721 3071 352 124 3422 3772 4122 4471 4820 5169 5518 5866 6215 6562 349 125 6910 7257 7604 795' 8298 8644 8990 9335 9681 125 10 0026 346 126 0371 0715 1059 1403 1747 2091 2434 2777 3"9 3462 343 127 3804 4146 4487 4828 5169 5510 5851 6191 6531 6871 34' 128 7210 7549 7888 8227 8565 8903 9241 9579 9916 128 II 0253 338 129 0590 0926 1263 1599 1934 2270 2605 2940 3»75 3609 335 130 3943 4277 46 1 1 4944 5278 5611 5943 6276 66c8 6940 333 ■is' 7271 7603 7934 8265 8595 8926 9256 9586 9915 131 12 0245 330 132 0574 0903 1231 1560 1888 2216 2544 2871 3198 35^5 32S 133 385^ 4178 4504 4830 5156 5481 5806 6131 6456 6781 325 134 7105 7429 7753 8076 8399 8722 9045 9368 9690 134 13 0012 323 135 0334 0655 0977 1298 1619 1939 2260 2580 2900 3219 321 136 3539 3858 4«77 4496 4814 5133 5451 5769 6086 6403 31S 137 6721 7037 7354 7671 7987 8303 8618 8934 9249 9564 316 138 9879 138 14 0194 0508 0S22 1136 1450 1763 2076 2389 2702 314 139 3015 3327 3639 3951 4263 4574 4885 5196 55°7 5818 311 140 6128 6438 6748 7058 7367 7676 7985 8294 8603 8911 309 141 9219 9527 9835 141 15 0142 0449 0756 1063 1370 1676 1982 307 142 2z88 2594 2900 3205 351C 3815 4120 4424 4728 5032 305 143 5336 5640 5943 6246 6549 6852 7154 7457 7759 8061 303 144 8362 8664 8965 9266 9567 9868 144 16 0168 0469 0769 1068 30J 145 1368 ■~i667 1967 2266 2564 2863 3161 3460 3758 4055 299 146 4353 4650 4947| 5^44 5541 S83S 6134 6430 6726 7022 297 N. 1 I 2 ! 3 4 5 6 7 8 9 D, B2 N. 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I 2 3 4 5 6 7 8 9 D. 685 686 687 688 689 835691 6324 6957 7588 8219 5754 6387 7020 7652 8282 5817 6451 7083 77«5 8345 5881 6514 7146 7778 8408 5944 6577 7210 7841 8471 6007 6641 7^73 7904 8534 6071 6704 7336 7967 8597 6767 7399 8030 8660 6197 6830 7462 8093 8723 6261 6894 75*5 8156 8786 63 63 690 691 691 692 693 694 8S49 9478 ^^ . 0106 0733 1359 8912 9541 0169 0796 1422 8975 9604 0232 0859 1485 9038 9667 0294 0921 1547 9101 9729 0357 0984 1610 9164 9792 0420 1046 1672 9227 9855 04S2 1109 1735 9289 9918 0545 1 172 1797 93S» 9981 0608 1234 i860 94'5 0043 0671 1297 1922 63 63 P 63 696 697 698 699 1985 2609 3233 3855 4477 2047 2672 3295 3918 4539 2110 2734 3357 3980 4601 2172 2796 3420 4042 4664 2235 2859 3482 4104 4726 2297 2921 3544 4166 4788 2360 2983 3606 4229 4850 2422 3046 3669 4291 4912 2484 3108 3731 43 53 4974 2547 3170 3793 44'5 5036 62 62 62 62 62 700 701 702 703 704 5098 571S 6337 6955 7573 5160 5780 6399 • 7017 7634 5222 5842 6461 7079 7696 5284 5904 6523 7 141 7758 5346 5966 6585 7202 7819 5408 6028 6646 7264 7881 5470 6090 6708 7326 7943 S53» 6151 6770 7388 8004 5594 6213 6832 7449 8066 5656 6275 6894 7511 8128 62 62 62 62 62 70s 706 707 708 709 8189 880s 9419 850033 0646 8251 8866 9481 0095 0707 8312 8928 9542 0156 0769 8374 S989 9604 0217 0830 S435 9051 9665 0279 0S91 8497 9112 9726 0340 0952 8559 9174 9788 0401 10 14 8620 9235 5849 0462 1075 S682 9297 9911 0524 1136 8743 9358 9972 0585 1197 62 6] 61 61 61 710 711 712 713 714 1258 1870 2480 3090 3698 1320 1931 2541 3150 3759 1381 1992 2602 3.2 1 1 3820 1442 2053 2663 3272 3881 1503 21 14 2724 3333 3941 1564 2175 2785 3394 4002 1625 2236 2846 3455 4063 1686 2297 2907 3516 4124 1747 2358 2968 3577 4185 1809 2419 3029 3637 4245 61 61 £1 61 61 716 717 718 719 4306 4913 5519 6124 6729 4367 4974 5580 6185 6789 4428 5034 5640 6245 6850 4488 5°95 5701 6306 6910 4549 5156 5761 6366 6970 4610 5216 5822 6427 7031 4670 5277 5882 6487 7091 4731 5337 5943 6548 7152 4792 5398 6003 6608 7212 4852 5459 6064 6668 7272 61 61 61 60 60 720 721 722 723 724 724 733» 7935 8537 9138 9739 86 7393 7995 8597 9198 9799 7453 8056 8657 9258 9859 7513 8116 871S 9318 991S 7574 8176 8778 9379 9978 7634, 8236 8838 9439 0038 7694 8297 8898 9499 0098 7755 8357 8958 9559 0158 7815 8417 9018 9619 0218 7875 8477 9078 9679 0278 60 60 60 60 60 725 726 727 728 0338 0937 1534 2131 0398 0996 1594 2191 0458 1056 1654 2251 0518 1116 1714 2310 0578 1176 1773 2370 0637 1236 1833 2430 0697 1295 1893 2489 0757 1355 1952 2549 0817 141 5 2012 2608 0877 1475 2072 2668 60 60 60 60 N. 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Log. lOOI •0004341 1051 •0216027 1101 •0417873 1151 •0610753 I002 •0008677 1052 •0220157 1102 ■0421816 1152 •0614525 1003 •0013009 i°53 •0224284 1103 •042575s "53 -0618293 1004 •0017337 1054 •0228406 1104 •0429691 "54 •0622058 lOO! ■0021661 1055 •0232525 1105 •0433623 "55 •0625820 1006 •0025980 1056 •0236639 1106 •0437551 1156 •0629578 1007 •0030295 1057 •0240750 1107 •0441476 "57 •0633334 1008 •0034605 1058 •0244857 1108 •0445398 1158 ■0637086 loog •0038912 1059 •0248960 1109 •0449316 "59 •0640834 lOIO •0043214 106c •0253059 1110 •0453230 1160 •0644580 lOII •0047512 1061 •0257154 1111 •0457141 1161 ■0648322 1012 •0051805 io6j •0261245 1112 ■0461048 1162 ■0652061 101; •0056094 1063 •0265333 III3 ■0464952 1163 •0655797 IOI< •0060380 106^ •0269416 III^ •0468852 1164 •0659530 loi; •0064660 106; •0273496 1115 ■0472749 1165 •0663259 loif •0068937 1066 •0277572 III6 ■0476642 1166 •0666986 1017 •0073210 1067 •0281644 1117 ■0480532 1167 •0670709 1018 •0077478 106S •0285713 III8 •0484418 1168 •0674428 1019 •0081742 1065 •0289777 1119 •0488301 1169 •0678145 lOZC •0086002 107c •0293838 1120 •0492180 1170 ■0681859 1021 •0090257 1071 •0297895 1121 •0496056 1171 ■0685569 1022 •0094509 1072 •0301948 1 122 ■0499929 1172 ■0689276 102; •0098756 1073 •0305997 1123 •0503798 "73 ■0692980 102I •0103000 1074 •0310043 1 124 •0507663 "74 •0696681 102; •0107239 1075 ■0314085 1125 •0511525 "75 •0700379 1026 •01 I 1474 1076 •0318123 1 126 •0515384 1176 •0704073 1027 •01 15704 1077 •0322157 II27 •0519239 "77 •0707765 1028 •0119931 1078 •0326188 1128 ■0523091 1178 •0711453 1029 •0124154 1079 •0330214 1 129 •0526939 "79 •0715138 1030 •0128372 io8c •0334238 1130 •0530784 1180 •0718820 1031 •0132587 1081 •0338257 1131 ■0534626 1181 ■0722499 1032 •0136797 1082 •0342273 1132 •0538464 1182 •0726175 1033 •0141003 1083 •0346285 "33 •0542299 1183 •0729847 1034 •0145205 1084 •0350293 1134 •0546131 1184 •0733517 1035 •0149403 1085 •0354297 "35 •0549959 1185 •0737184 1036 •0153598 1086 •0358298 1136 •0553783 1186 •0740847 1037 •0157788 1087 •0362295 1137 •0557605 1187 •0744507 1038 •0161974 1088 '0366289 1138 •0561423 1188 •0748164 1039 •0166155 1089 •0370279 "39 •0565237 1189 "0751819 1040 •0170333- 1090 •0374265 1140 •0569049 1190 •0755470 1041 •0174507 1091 •0378248 1 141 •0572856 1191 •0759I1S 1042 •0178677 1092 •0382226 1142 ■0576661 1 192 •0762763 1043 •0182843 1093 •0386202 1143 •0580462 "93 •0766404 1044 •0187005 1094 •0390173 "44 •0584260 "94 •0770043 1045 •0191163 1095 •0394141 "45 •0588055 "95 •0773679 1046 •0195317 1096 •0398106 1146 •0591846 1 196 •0777312 1047 •0199467 1097 •0402066 "47 •0595634 "97 •0780942 1048 •0203613 1098 •0406023 1 148 •0599419 1198 •0784568 1049 •0207755 1099 •0409977 "49 •0603200 "99 •0788192 J050 ■0211893 IIOO •0413927 1150 •0606978 1200 •0791813 LOGARITHMS SINES AND TANGENTS FOR EVERY MINUTE OF THE QUADRANT, SINES FOR EVERY SIX SECONDS OF THE FIRST TWO DEGREE.S. degrees. "■ min. to 30 min. ' Sine. Diff. for 100° Cosine. Diff. for 100" •i. 2 2 2 2 2 2 2 t- 2 2 2 2 3 'i'ungent. Diff. for 100' ■Cotang. -■ o I z — 00 6463726 6-764756 10-000000 10-000000 10-000000 lo-oooooo 10-000000 10-000000 — 00 6-463726 6-764756 -toe 13-536274 13-235244 6c 59 58 + 00 501717 293485 00 501717 293485 3 4 5 6-940847 7-065786 7-162696 6-940847 7-065786 7-162696 ■3-OS9I53 12-934214 12-837304 57 56 55 208232 161517 131968 208232 161517 131970 6 7 8 7-241877 7-308824 7-366816 9-999999 9-999999 9-999999 7-241878 7-308825 7-366817 J2-758122 12-691175 12-633183 54 53 5» 111578 96653 85*53 111578 96653 85=155 9 lo IJ 7-417968 7-463726 7-505118 9-999999 9-999998 9-999998 7-417970 7-463727 7-505120 12-582030 12-536273 12-494880 5' 5° 49 76263 68987 62980 57937 53642 49938 76262 68988 62 9 82 12 13 't- 7-542906 7-577668 7-609853 9-999997 9-999997 9-999996 7-542909 7-577672 7-609857 12-457091 12-422328 12-390143 4S 46 57938 53642 49938 9-999996 9-999995 9-999995 7-639820 7-667849 7-694179 12-360180 12-332151 12-305821 45 44 43 is i6 17 7-639816 7-667845 7-694173 46715 43880 41373 46715 43S83 41373 i8 19 20 7-718997 7-742478 7-764754 9999994 9'999993 9-999993 7-719003 7-742484 7-764761 12-280997 12-257516 12-235239 42 4' 40 39135 37127 35315 39'35 37128 353'7 21 7-785943 22 7'So6i46 2;J 7"82545i 33672 32175 30805 9-999992 9-999991 9-999990 7-785951 7-806155 7-825460 33673 3«i75 30807 12-214049 12-193845 12-174540 39 38 37 24 25 26 7-843934 7-861662 7-878695 9-999989 9-999989 9-999988 7-843944 7-861674 7-878708 12-156056 12-138326 12-121292 36 35 34 ^9547 28388 27317 29550 28390 27318 27 28 29 30 7-895085 7-910879 7-926119 7-940842 9-999987 9-999986 9-999985 9-999983 7-895099 7-910894 7-926134 7-940858 12-104901 12-089106 12-073866 12-059142 33 32 V 3^^ 26323 25400 24538 26325 25400 24540 Coiiiue. Sin.'. fjotang. Tangent. ' 30 niin. to 60 min. 89 degrees. degrees. 30 min. to 60 min. / Sine. Diff. for 100" Cosine. Diff. for 100" 2 2 2 3 2 2 3 2 2 3 2 3 3 2 3 3 2 3 3 3 3 3 3 Tangent. Diff. for 100' Cotang. / 3° 31 32 7-940842 7-955082 7-968870 9-999983 9-999982 9-999981 7-940858 7-955100 7-968889 ia'059i42 12-044900 12-031111 30 29 z8 ^3733 22980 22272 23737 22982 22273 33 34 35 7-982233 7"995i98 8-007787 9-999980 9-999979 9-999977 7-982253 7-995219 8-007809 12-017747 12-004781 11-992191 11 21608 20982 Z0390 21610 20983 20392 36 37 38 8-020021 8-031919 8-043501 9-999976 9-999975 9-999973 8 020044 8-031945 ■8-043527 11-979956 11-968055 11-956473 24 23 22 19830 19303 18800 19835 19303 18803 39 40 41 8-054781 8-065776 8-076500 9-999972 9-999971 9-999969 8-054809 8-065806 8-076531 11945191 11-934194 11-923469 21 20 19 18325 17873 17442 18328 17875 17443 4z 43 44 8-086965 8-097183 8*107167 9-999968 9-999966 9-999964 8-086997 8-097217 8-107203 11-913003 11-902783 11-892797 18 17 16 17030 16640 16265 17033 16643 16267 46 47 8-116926 8-126471 8-135810 9-999963 9-999961 9-999959 8-116963 8-126510 8-135851 15 14 13 15908 15565 15238 15912 1556S 15242 11-883037 11-873490 11-864149 48 49 50 8-144953 8-153907 8-162681 9-999958 9-999956 9-999954 8-144996 8-153952 8-162727 11-855004 11-846048 11-837273 12 11 10 14923 14623 14332 14927 14625 14335 51 S3 8-171280 8-179713 8-187985 14055 13787 13528 9-999952 9-999950 9-999948 8-171328 8-179763 8-188036 1405 8 13788 '3533 11-828672 11-820237 11-811964 9 8 7 54 8-196102 8-204070 8-211895 9-999946 9-999944 9-999942 8-196156 8-204126 8-211953 11-803844 11-795874 11-788047 6 5 4 13280 13042 12810 3 3 3 3 3 3 13283 13045 12813 57 58 60 8-219581 8-227134 8-234557 8-241855 9-999940 9-999938 9-999936 9-999934 8-219641 8-227195 8-234621 8-241921 11-780359 11-772805 11-765379 11-758079 3 2 I 12588 12372 12163 12590 12377 12167 f Cosine, Sine. Cotang. Tangent. . ' 1 min. to 30 min. 89 degrees. C2 1 degree. min. to 30 min. ' Sine. Diff. for loo' Cosine. Diff. for 100" 3 3 5 I'angent. DWr. for 100' Cotang. ' o I 2 8-241855 8-249033 8-256094 9'999934 9-999932 9-999929 8-241921 8*249102 8-256165 11-758079 11-750898 11-743835 60 59 58 II963 II768 11580 1 1 968 11772 11583 3 4 5 8-263042 8-269881 8-276614 9-999917 9"9999*5 9-999922 8-263115 8-269956 8-276691 11-736S85 11-730044 11-723309 57 56 55 11398 1 1222 11048 11402 11225 11053 6 7 8 8-283243 8-289773 8-296207 9-999920 9-999918 9-999915 9-999913 9-999910 9-999907 8-283323 8-289856 8-296292 11-716677 11-710144 11-703708 54 53 52 I08S3 10723 10565 10888 10727 10570 9 lo II 8-302546 8308794 8-314954 8-302634 8-308884 8-315046 11-697366 11-691116 11-684954 5' 5° 49 10413 10267 10122 10417 10270 10127 12 '3 H 8-321027 8-327016 8-332924 9-999905 9-999902 9-999899 8-321122 8-327114 8-333025 11-678878 11-672886 11-666975 48 46 9982 9847 9715 9987 9852 9718 '5 i6 17 8-338753 8-344504 8-350181 9-999897 9999894 9-999891 8-338856 8-344610 8-350289 11-661144 11-655390 11-649711 45 44 43 9585 9462 9337 9590 9465 934-3 i8 •9 zo 8-355783 8-361315 8-366777 8-355895 8-361430 8-366895 11-644105 11-638570 11-633105 42 41 40 9220 9103 8990 9-999888 9-999885 9-999882 9225 9108 8995 21 22 23 8-372171 8-377499 8-382762 8-372292 8-377622 8-382889 11-627708 11-622378 11-617111 39 38 37 8880 8772 8667 9999879 9-999876 9-999873 8883 8778 8672 »4 26 8387962 8393101 8-398179 9-999870 9-999867 9-999864 8-388092 8-393234 8-398315 11-611908 11-606766 11-601685 36 35 34 8565 8463 8367 8570 8468 8372 27 28 29 30 8403199 8-408161 8-413068 8-417919 8270 8178 80S5 9-999861 9-999858 9-999854 9-999851 8-403338 8-408304 8-413213 8-418068 8277 8182 8092 11-596662 11-591696 11-586787 11-581932 33 3» 3' 30 ' Cusiiie. Sine. Cotang. Tangent, j ' 1 30 min. to 60 min. 88 degrees. 1 degree. SO min. to 60 inin. ' . Sine. Diff. for 100' Cosine. Ditr. for 100" 5 7 5 5 7 5 7 5 7 7 S 7 7 7 7 . S 7 7 7 7. 7 8 7 7 7 7 8 7 7 8 Tangent. Difr. for 100" Cotang. 1 , 1 30 31 8-4179 19 8'4aa7i7 S-4274'62 9-999851 9-999848 9-995844 8-418068 8-4211869 8-4a76i8 11-581932 11-577131 11-572382 30 2? 28 7997 7908 7823 8002 7915 7828 33 34 35 8'432i56 8-436800 8-441394 9-999841 9-999838 9-999834 8-432315 8-436962 8-441560 11-567685 11-563038 11-558440 27 26 ^5 7740 7657 7578 7745 7663 7583 36 37 38 8-445941 8-450440 8'454893 9-999831 9-999827 9-999824 8-4461 10 8-450613 8-455070 11-553890 11-549387 n-544930 24 23 22 ■7498 7422 ■7347 7505 7428 7352 39 4.0 41 8-45930J 8-463665 8-467985 9-999820 9-999816 9-999813 g -45948 I 8-463849 8-468172 1 •7273 7200 7130 7^280 7205 •7137 11-540519 "•536151 11-531828 21 20 19 42 43 44 8'472263 g'476498 8-480693 9-999809 9-999805 9-999801 8-472454 8-476693 8-480892 11-527546 11-523307 11-519108 iS 17 16 7058 6992 6925 •7065 6998 6930 45 46 47 8-484848 8-488963 8-493040 9-999797 9-999794 9-999790 8-485050 8-489170 8-493250 11-514950 11-510830 11-506750 '5 14 13 685S 6795 6730 6867 6800 6738 48 49 5° 8-497078 8-501080 8-505045 9-999786 9-999782 9-999778 8-497293 8-501298 8-505267 11-502707 11-498702 11-494733 12 II 10 6670 6608 6548 6675 6615 «S55 5' S3 8-508974 8-512867 8-516726 9*999774 9-999769 9-999765 8-509200 8-513098 8-516961 11-490800 11-486902 11-483039 •7' 6488 6432 6375 6497 6438 6382 54 55 56 8-520551 8-524343 8-528102 9-999761 9-999757 9'999753 8-520790 8-524586 8-528349 11-479210 "•475414 11-471651 6 5 4 6320 6265 6210 6327 6272 6218 57 58 60 8-531828 8-5355^3 8-539186 8-542819 9'999748 9"999744 9-999740 9'999735 8-532080 8-535779 8-539447 8-543084 11-467920 11-464221 11-460553 11-456916 3 2 1 6158 6105 6055 6165 6113 6062 / {Cosine. Sine. , Cotang. Tangent. ' min. to 30 mih. 88 degrees. 2 degrees. 1 min. to 30 min. ' Sine. DIff. for 100' Cosine. DifT. for "100" 7 8 7 8 7 8 7 8 8 8 7 8 ~T 8 8 8 8 8 8 8 8 10 S 8 8 10 8 10 8 10 Tangent. Dlir. for 100' Cotang, ' I 2 8'5428i9 8-54.6422 8-54999S 9'999735 9-999731 9-999726 8-543084 8-546691 8-550268 11-456916 11-453309 11-449732 60 59 58 6005 5955 5907 6012 5962 5915 3 4 S 8-553539 8-557054 8-560540 9'9997" 9-999717 9-999713 8-553817 8-557336 8-560828 11-446183 11-442664 11-439172 57 56 55 5858 5810 5765 5865 5820 ■5772 6 I 8-563999 8-567431 8-570836 9-999708 9-999704 9-999699 8-564291 g-567727 8-571137 11-435709 11-432273 11-428863 54 53 5» 5720 5675 5630 5727 5683 5638 9 10 II 8-574214 8-577566 8-580892 9-999694 9-999689 9-999685 8-574520 8-577877 8-581208 11-425480 I I -422 123 11-418792 5' 50 +9 5587 5543 5502- 5595 5S5» IZ 14 8-584193 8-587469 8-590721 5460 5420 5378 9-999680 9-999675 9-999670 8-584514 8-587795 8-591051 5468 54^7 5387 11-415486 11-412205 11-408949 48 '7 8-593948 8-597152 8-600332 5340 5300 5262 9-999665 9-999660 9-999655 g-594283 8-597492 8-600677 5348 5308 5270 11-405717 11-402508 11-399323 45 4+ 43 i8 19 20 8-603489 8-606623 8-609734 9-999650 9-999645 9-999640 8-603839 8-606978 8-610094 11-396161 11-393022 11-389906 42 4> 40 5223 5185 5 148 5232 5193 5158 21 22 23 8-612823 8-615891 8-618937 9-999635 9-999629 9-999624 8-613189 g-616262 8-619313 11-386811 11-383738 11-380687 11 37 5113 5077 5042 5122 5085 5050 24 »S 26 8-621962 8-624965 8-627948 9-999619 9-999614 9-999608 g-622343 8-625352 8-628340 11-377657 11-374648 11-371660 36 35 34 5005 4972 4938 5015 4980 4947 27 28 29 30 8-630911 8-633854 8-636776 '8-639680 9-999603 9'999597 9-999592 9-999586 8-631308 8-634256 8-637184 8-640093 11-368692 11-365744 11-362816 11-359907 33 32 31 30 4905 4870 4840 49'3 4880 4848 ' Cosine. Sine. Cotang. Tangent. ' 80 min. to 60 min. 87 degrees. 2 degrees. 30 min. to 60 min. ' Sine. DIE for 100' Cosine. DiiE for 100' 8 10 8 10 10 8 10 10 10 10 8 10 10 10 10 12 10 10 10 10 10 12 10 12 10 10 12 10 12 12 Tangent. Diff. for 100" Cotaug, ' 3° 31 32 8-639680 8-642563 8-645428 9-999586 9-999581 9'99957S 8-640093 8-642982 8-645853 11-359907 11-^57018 11-354147 30 29 28 4805 4775 4743 4815 4785 4752 33 34 35 8-648274 8-651102 g-653911 9-999570 9-999564 9-999558 8-648704 8-651537 8-6543^2 11-351296 11-348463 11-345648 27 26 *5 4713 4682 4652 4722 4692 4662 36 37 38 g-656^02 8-659475 8*662230 9-999553 9'999547 9-999541 8-657149 8-659928 8-662689 11-342851 11-340072 11-337311 *4 23 22 4622 4592 4563 4632 4602 4573 39 40 41 8-664968 8-667689 8-670393 9"999535 9-999529 9-999524 8-66 5433 8-668i6o 8-670876 11-334567 11-331S40 11-329130 20 19 4535 45°7 4478 4545 4517 4488 42 43 44 8-673080 8-675751 8-678405 9-999518 9-999512 9-999506 8-673563 8-676239 8-678900 11-326437 iii-323761 11-321100 18 I7' 16 445* 44»3 4397 4460 4+35 4407 47 S-68I043 8-683665 8-686272 4370 4345 4318 9-999500 9-999493 9-999487 8-681544 8-684172 8-686784 4380 4353 43*8 11-318456 11-315828 11-313216 '5 14 13 48 49 50 8-688863 8-691438 8-693998 4292 4267 4242 9-999481 9*999475 9-999469 8-689381 8-691963 8-694529 4303 4*77 4*53 11*310619 11*308037 11-305471 12 11 10 SI 53 8-696543 8-699073 8-701589 4217 4193 4168 9*999463 9-999456 9-999450 8*697081 8-699617 8-70Z139 4**7 4203 4178 11-302919 11-300383 11-297861 9 g 7 54 8-704090 8-706577 8-709049 4145 4120 4097 9'999443 9'999437 9-999431 8-704646 8-707140 8-709618 4157 4136 4108 "•*95354 11-292860 11-290382 6 5 4 60 8-711507 8-713952 8-716383 8-718800 4075 4052 4028 9-999424 9-999418 9-999411 9-999404 8-712083 8-714534 8-716972 8-719396 4085 4063 4040 11-287917 11-285466 11-283028 11-280604 3 2 i / Cosine. Sine. Cotang. Tangent. ' min. to 30 min. 87 degrees. 1 3 degrees. min. to 30 min. f Sine. Dlff. for loa* Cosine. Diff. for Tangent. DiK fat 100' Cotang, * o I 2 8-718800 8'72i204 8-7»359S 9-999404 9-999398 9-999391 100' 10 12 12 10 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 13 12 13 12 ■3 12 13 12 13 •3 8-719396 8-721806 8-724204 11-280604 11-278194 11-275796 60 59 58 4007 3985 3962 4017 3997 3973 3 4 5 8-725972 8-728337 8-730688 9-999384 9-999378 9-999371 8-726588 8-728959 8-731317 11-273412 11-271041 11-268683 55 394* 3918 3898 3952 3930 3910 6 7 8 8-733027 8735354 8-737667 9-999364 9-999357 9-999350 S-733663 8-735996 8-738317 11-266337 11-264004 11-261683 54 53 5* 3878 3855 3837 3888 3868 3848 9 lo II 8-739969 8-742259 8-744536 9-999343 9-999336 9-999329 8-740626 8-742922 8-745207 11-259374 11-257078 11-254793 5' 50 49 3817 3795 3777 3827 3808 3787 12 13 H 8-746802 8-749055 8-751297 9-999322 9-9993'5 9-999308 8-747479 8-749740 8-751989 11-252521 11-250260 11-248011 48 46 3755 3737 3718 3768 3748 3730 15 16 17 8-753528 8-755747 8-757955 9-999301 9-999294 9-999287 8-754227 8-756453 8-758668 11-245773 11-243547 11-241332 45 +4 43 3698 3680 3660 3710 3692 3673 18 19 20 8-760151 8-762337 8-7645 1 1 9-999179 9-999272 9-999265 8-760872 8-763065 8-765246 11-239128 11-236935 11-234754 42 4" 40 3643 3623 3607 3655 3635 3618 21 22 23 8-766675 8-768828 8-770970 9-999257 9-999250 9-999242 8-767417 8-769578 8-771727 11-232583 11-230422 11-228273 11 37 3588 3570 355* 3602 3582 3565 24 25 26 8-773101 8-775223 8-777333 9-999235 9-999227 9-999220 8-773866 8-775995 8-778114 11-226134 11-224005 11-221886 36 35 34 3537 3517 3502 3548 353» 3513 27 28 29 30 8-779434 8-781524 8-783605 8-785675 3483 3468 3450 9-999212 9-999205 9-999197 9-999189 8-780222 8-782320 8-784408 8-786486 3497 34X0 3463 11-219778 11-217680 11-215592 11-213514 33 32 31 30 ' Cosiae. Sine. Cotang. Tangent. ' 30 min. to 60 min. 86 degrees. 3 degrees. 30 min. to 60 min. ' Sine. Diff. fol 100° Cosine. DiSf. for locf 13 12 13 Tangent. Siir. for 100" Cotang. '. 3° 3' 3a 8-785675 8-787736 8-789787 9-999189 9-999181 9-999174 8-786486 8-788554 8-790613 11-213514 11-211446 11-209387 30 29 28 3435 3418 3402 3447 3432 3415 33 34 35 8-791828 8-793859 8-795881 9*999166 9-999158 9-999150 8-792662 8-794701 8-796731 11-207338 11-205299 11-203269 27 26 *5 3385 3370 3355 13 13 13 3398 3383 3368 36 37 38 8-797894 8-799897 8-801892 9-999142 9-999134 9-999126 8-798752 8-800763 8-802765 11-201248 11-199237 11-197235 24 23 22 3338 33^5 33°7 13 13 13 335* 3337 3322 39 40 41 8-803876 8-805852 8-807819 9-999118 9-999110 9-999102 8-804758 8-806742 8-808717 11-195242 11-193258 11-191283 21 20 "9 3293 3278 3263 13 13 13 13 15 13 3307 3292 3277 42 43 44 8-809777 8-811726 8-813667 9-999094 9-999086 9-999077 8-810683 8-812641 8-814589 11-189317 "■187359 11-185411 18 17 16 3248 3235 3220 3263 3247 3*33 45 46 47 8-815599 8-817522 8-819436 9-999069 9-999061 9-999053 8-816529 8-81S461 8-820384 11-183471 11-1S1539 11-179616 15 14 13 3205 3190 3178 13 13 15 13 15 13 3220 3205 3190 48 49 5° 8-821343 8-823240 8-825130 9-999044 9-999036 9-999027 8-822298 8-824205 8-826103 11-177702 11-175795 11-173897 12 11 10 3162 3150 3135 3178 3163 3148 51 52 53 8-827011 8-828884 8-830749 9-599019 9-999010 9-999002 8-S27992 8-829874 8-831748 11-172008 11-170126 11-168252 9 8 7 3122 3108 3097 15 '3 15 15 13 15 3137 3123 3108 54 55 56 8-832607 8-834456 8-836297 9-998993 9-998984 9-998976 8-833613 8-835471 8-837321 11-166387 11-164529 11-162679 6 5 4 3082 3068 3055 3097 3083 3070 57 58 59 60 8-838130 8-839956 8-841774 8-843585 9-998967 9-998958 9-998950 9-998941 8-839163 8-840998 8-842825 8-844644 11-160837 11-159002 11-157175 11-155356 3 2 1 3043 303° 3018 '5 13 15 3058 3045 3032 / Cosine. Sint!. Cotang. Tangent. ' min. to 30 min. 86 degrees. 1 C S 4 degrees. min. to 30 min. ' Sine. Diir. for 100" Cosine. Diff. for 100" 17 Tangent Diff. for 100" Cotang. ' o I % 8-843585 8-845387 8-847183 9-998941 9-998932 9-998923 8-844644 8-846455 8-848260 11-155356 "•>53S4S 11-151740 60 59 58 3003 2993 2980 3018 3008 2995 3 4 5 8-848971 8-850751 8-852525 9-998914 9-998905 9-998896 8-850057 8-851846 8-853628 11-149943 11-148154 11-146372 2967 2957 2945 2982 2970 2958 6 7 8 8-854291 8-856049 8-857801 9-998887 9-998878 9-998869 8-855403 8-857171 8-858932 II-I44597 I I- 142829 11-141068 54 S3 5* 2930 2920 2908 2947 *935 2923 9 lO II 8-859546 8-861283 8-863014 9-998860 9-998851 9-998841 8-86o686 8-862A33 8-864173 11-139314 11-137567 11-135827 51 50 49 2895 2885 2873 2912 2900 2888 12 13 14 8-864738 8-866455 8-868165 2862 2850 2838 9-998832 9-99S823 9-998813 8-865906 8-867632 8-869351 2877 2865 2855 11-134094 11-132368 11-130649 48 47 46 i6 17 8-869868 8-871565 8-873255 2828 2817 2805 9-998804 9-998795 9-998785 8-871064 8-872770 8-874469 2843 2832 2822 11-128936 11-127230 11-125531 45 44 43 i8 '9 20 8-874938 8-876615 8-878285 2795 2783 2773 9-998776 9-998766 9-998757 8-876162 8-877849 8-879529 2812 2800 2788 11-123838 11-122151 11-120471 42 41 40 21 22 23 8-879949 8-881607 8-883258 2763 2752 2742 9-998747 9-998738 9-998728 8-881202 8-882869 8-884530 2778 2768 2758 11-118798 11-117131 11-115470 39 38 37 24 8-884903 8-886542 8-888174 2732 2720 2712 9-998718 9-998708 9-998699 8-886185 8-887833 8-889476 2747 273S 2727 11-113815 11-112167 11-110524 36 35 34 27 28 29 30 8-889801 8-891421 8-S93035 8-894643 9-998689 9-998679 9-998669 9-998659 8-891112 8-892742 8-894366 8-895984 ii'io8888 11-107258 11-105634 11-104016 ,33 32 3' 30 2700 2690 2680 2717 2707 2697 ' Cosine. Sine. Cotang. Tangent. ' 30 min. to 60 min. 85 degrees. 4 degrees. 30 min. to 60 min. ' Sine. Diff. for 100" Ci sine. Diff. fi.r lOc' 17 17 17 17 17 17 17 18 17 17 17 18 17 18 17 18 17 18 17 18 18 18 17 18 18 18 18 18 18 18 Tangen . Diff. for 100" Cotang. ' 3° 31 32 8-894643 8-896246 8-897842 9-998659 9-998649 9-99S639 8-895984 8-897596 8-899203 11-104016 11-102404 11-100797 30 29 28 2672 2660 2650 2687 2678 2667 33 34 35 8-899432 8-901017 8-902596 9-998629 9-998619 9-998609 8-900803 8-902398 8-903987 11-099197 11-097602 11-096013 27 26 25 24 23 22 2642 2632 2622 2658 2648 2638 36 37 38 8-904169 8-905736 8-907297 9-998599 9-998589 9-998578 8-905570 8-907147 8-908719 11-094430 11-092853 11-091281 2612 2602 2593 2628 2620 2610 139 40 41 8-908853 8-910404 8-91 1949 9-998568 9-998558 9-998548 8-910285 8-911846 8-913401 11-089715 11-088154 11-0S6599 21 20 19 2585 ='575 2565 2602 2592 2583 42 43 44 8-913488 8-915022 8-916550 9-998537 9-998527 9-998516 8-9 1495 1 8-9 16495 8-918034 11-085049 11-083505 11-081966 18 17 16 ^557 2547 2538 2573 2565 2557 47 8-918073 8-919591 8-921103 9-998506 9-998495 9-998485 8-919568 8-921096 8-922619 11-080432 11-078964 11-077381 15 14 13 2530 2520 2512 2547 2538 2528 2522 2512 2503 48 49 50 8-922610 8-924112 8-925609 9-998474 9-998464 9-998453 8-924136 8-925649 8-927156 11-075864 11-074351 11-072844 12 II 10 2503 2495 2485 5' S3 8-927100 8-928587 8-930068 9-998442 9-998431 9-998421 8-928658 8-930155 8-93 1«47 11-071342 11-069845 11-068353 9 8 7 2478 2468 2460 2495 2487 2478 54 5^i 8-931544 8-933015 8-934481 9-998410 9-998399 9-998388 8-933134 8-934616 8-936093 n-066866 11-065384 11-063907 6 5 4 2452 2443 2435 2470 2462 2453 57 58 60 8-935942 8-937398 8-938S50 8-940296 9-998377 9-998366 9-998355 9-998344 8-937565 8-939032 8-940494 8-941952 11-062435 11-060968 11-059506 11-058048 3 2 I 2427 2420 2410 2445 2437 2430 ' Cosine. Sine. Cotang, Tangent. / min. to 30 min. 85 degrees. 5 degrees. min. to 30 min. ' Sine. Diff. foi 100' Cosine. Difr. for 100' 18 18 18 18 18 20 18 18 20 18 20 18 20 18 ao 18 20 20 18 20 20 20 20 20 20 20 20 20 20 ao Tangent. Difr. for 100" Cotang, / o I 2 8-940296 8-941738 8-943174 9-998344 9'99833J 9-998322 8-941952 8-943404 8-944852 11-058048 11-056596 11-055148 60 59 58 2403 *393 2387 2420 »4i3 2405 3 4 5 8-944606 8-946034 8-947456 9-998311 9-998300 9-998289 8-946295 8"947734 8-949168 11-053705 11-052266 11-050832 57 56 55 2380 2370 2363 2398 2390 2382 6 7 8 8-948874 8-950287 8"9Si696 9-998277 9-998266 9-998255 8-950597 8-952021 8-953441 11-049403 11-047979 11-046559 54 53 5* *35S 2348 2340 2373 2367 1358 9 lO II 8-953100 8-954499 8-955894 9-998243 9-998232 9-998220 8-954856 8-956267 8-957674 11-045144 11-043733 11-042326 51 5° 49 2332 2325 2317 2352 *34S *335 12 13 14 8-957284 8-958670 8-960052 9-998209 9-998197 9-998186 8-959075 8-960473 8-961866 11-040925 11-039527 11-038134 48 47 46 2310 2303 2295 2330 232a 2315 15 i6 17 8-961429 8-962801 8-964170 9-998174 9-998163 9-998151 8-963255 8-964639 8-966019 11-036745 11-035361 11-033981 45 44 43 2287 2282 2273 2307 2300 2292 i8 '9 20 8-965534 8-966893 8-968249 9-998139 9-998128 9-998116 8-967394 8-968766 8-970133 11-032606 11-031234 11-029S67 42 41 40 2265 2260 2252 2287 2278 3272 '21 22 23 8-969600 8-970947 8-972289 9-998104 9-998092 9-998080 8-971496 X-972855 8-974209 11-028504 11-027145 11-025791 39 38 37 2245 2237 2232 2265 2257 aa5a 24 «5 26 8-973628 8-974962 8-976293 9-998068 9-998056 9-998044 8-975560 8-976906 8-978248 11-024440 11-023094 11-021752 36 35 34 2223 2218 2210 a243 2237 2230 27 28 29 30 8-977619 8-978941 8-980259 8-981573 9-998032 9-998020 9-998008 9-997996 Sine. 8-979586 8-980921 8-982251 8-983577 11-020414 11-019079 11-017749 11-016423 33 32 31 30 2203 2197 2190 a225 2217 2210 Cosine, Cotang. Tangent. ' 30 min. to 60 min. 84 degrees. 5 degrees. 30 min. to 60 min. ' Sine. DUE fjr 100" Cosii^e. Diff. for loo' Tangent. Diff. for 100' Cotang. ' 30 32 8-981573 8-9«2883 8-984189 9-997996 9-997984 9-997972 8-983577 8-984899 8-986217 11-016423 11-015101 11-013783 30 2183 2177 2170 20 20 22 2203 2197 2192 33 34- 35 8-985491 8-986789 8-988083 9"997959 9"997947 9'997935 8-987532 8-988842 8-990149 11-012468 11-011158 11-009851 27 26 25 2163 2157 2152 20 20 22 2183 2178 2170 36 37 38 8-989374 8-990660 8-991943 9-997922 9-997910 9-997897 8-991451 8-992750 8-994045 11-008549 11-007250 11-005955 24 23 22 2143 2138 2132 20 22 20 2165 2158 *i53 39 40 41 8-993222 8-994497 8-995768 9-997885 9-997872 9-997860 8-995337 8-996624 8-997908 11-004663 11-003376 11-002092 21 20 19 2125 211S 2113 22 20 22 2145 2140 2133 42 43 44 8-997036 8-998299 8-999560 9-997847 9-997835 9-997822 8-999188 9-000465 9-001738 11-000812 10-999535 10-998262 18 17 16 2105 2102 2093 20 22 22 2128 2122 2115 47 9-000816 9-002069 9-003318 9-997809 9-997797 9-997784 9-003007 9-004272 9-005534 10-996993 10-995728 io"994466 15 14 13 2088 2082 2075 20 22 22 2108 2103 2097 48 49 5° 9-004563 9-005805 9-007044 2070 2065 2057 9-997771 9-997758 9'997745 22 22 22 9-006792 9-008047 9-009298 2092 2085 2080 10-993208 10-991953 10-990702 12 11 10 51 52 53 9-008278 9-C09510 9-010737 2053 2045 2042 9-997732 9-997719 9-997706 22 22 22 9-010546 9-011790 9-013031 2073 2068 2062 2057 2050 2045 10-989454 10-988210 10-986969 9 8 7 54 55 56 9-011962 9-013182 9-014400 9-997693 9-997680 9-997667 9-014268 9-015502 9-016732 10-985732 10-984498 10-983268 6 5 4 2033 2030 2022 22 22 22 57 58 6c 9-015613 9-016824 9-018031 9-019235 2018 2012 2007 9-997654 9-997641 9-997628 9-997614 22 22 23 9-017959 9-019183 9-020403 9-021620 2040 2033 2028 10-982041 10-980817 10-979597 10-978380 3 2 I / Cosine. Sine. Cotang. Tangent. ' min. to 30 min. ] 84 degrees. i 6 degrees. min. to 30 min. ' Sine. BifT. fur 100' Cosine. Die for 100" 22 22 23 22 23 22 *3 22 23 22 23 23 22 ^3 23 23 23 23 23 23 23 23 23 23 23 23 ^S 23 23 *s Tangent. Dlffi. for ico' Cotang. ' I 2 9-019235 9-020435 9-021632 9-997614 9-997601 9-997588 9-021620 9-022834 9-024044 10-978380 10-977166 10-975956 60 59 S8 2000 1995 1988 2023 2017 2012 3 4- 5 9-022825 9-024016 9-025203 9-997S74 9-997561 9'997S47 9-025251 9-026455 9-027655 10-974749 io'973545 10-972345 55 1985 1978 1972 2007 2000 199s 6 7 8 9-026386 9-027567 9-028744 9'997S34 9-997520 9-997507 9-028852 9-030046 9-031137 10-971148 10-969954 10-968763 54 53 5* 1968 1962 1957 1990 1985 1980 9 lO 9-029918 9-031089 9-032257 9'997493 9-997480 9-997466 9-032425 9-033609 9-034791 10-967575 10-966391 10-965209 5" 5° 49 1952 1947 1940 1973 1970 1963 12 '3 14 9-033421 9-034582 9-03S74I 9-997452 9"997439 9-997425 9-035969 9-037144 9-038316 10-964031 10-962856 10-961684 48 47 46 1935 1932 1925 1958 1953 1948 IS i6 17 9-036896 9-038048 9-039197 9-997411 9-997397 9-997383 9-039485 9-040651 9-041813 10-960515 10-959349 10-958187 45 44 43 1920 1915 1908 '943 1937 1933 ■9 20 9-040342 9-041485 9-042625 9-997369 9'9973SS 9-997341 9-042973 9-044130 9-045284 10-957027 10-955870 10-954716 42 41 40 1905 1900 1895 1928 1923 1917 21 22 »3 9-043762 9-044895 9-046026 9-997327 9-997313 9-997299 9-046434 9-047582 9-048727 10-953566 10-952418 10-951273 39 38 37 1888 1885 1880 1913 1908 1903 24 as 26 9-047154 9-048279 9-049400 9-997285 9-997271 9-997257 9-049869 9-051008 9-052144 10-950131 10-948992 10-947856 36 35 34 1875 i86g 1865 1898 1893 1888 27 2g 29 30 9-050519 9-051635 9-052749 9-053859 9-997242 9-997228 9-997214 9-997199 9-053277 9-054407 9-OS5S3S 9-056659 io-q46723 io'945593 10-944465 10-943341 33 32 3' 30 i860 1857 1850 1883 1880 1873 ' Cosine. Sine. Cotang. Tangent. / 30 min. to 60 min. 8.3 degrees. 6 degrees. 30 min. to 60 min. 1 Sine. DiK for 100" Cosine. Diff. for 100" 23 *S 23 23 *5 23 ?5 2-5 25 23 ^5 *S »S *5 »5 25 «5 »5 »5 ^5 25 27 »5 ^5 27 ^5 sS 27 *5 Tangent. Diffi for 100" Cotang. ' 30 32 9-053859 9-054966 9-056071 9-997199 9-997185 9-997170 9-056659 9-057781 9-058900 10-943341 10-942219 10-941100 30 29 28 1845 1842 1835 1870 1865 i860 33 34 35 9-057172 9-058271 9.059367 9-997156 9-997141 9-997127 9-060016 9-061130 9-062240 10-939984 10-938870 10-937760 27 26 *5 1832 1827 1822 1857 1850 1847 36 37 38 9-060460 9-061551 9-062639 9-997112 9-997098 9-997083 9-063348 9-064453 9-065556 10-936652 i°"935S47 10-934444 24 23 22 1818 1813 1808 1842 1838 1832 39 40 9-063724 9-064806 9-065885 9-997068 9-997053 9-997039 9-066655 9-067752 9-068846 10-933345 10-932248 10-931154 21 20 19 1803 1798 1795 1828 1823 1820 .. . 9-997024 9-997009 9-996994 9-069938 9-071027 9-072113 10-930062 10-928973 10-927887 18 421 ^•obbijbi 43I 9-068036 44I 9'o69io7 1790 1785 1782 1815 1810 1807 9-996979 9-996964 9-996949 9-073197 9-074278 9-075356 10-926803 10-925722 10-924644 15 14 13 47 9-070176 9-071242 9-072306 1777 1773 1767 1802 1797 1793 48 49 5° 9-073366 9-074424 9-075480 9-996934 9-996919 9-996904 9-076432 9-077505 9-078576 10-923568 10-922495 10-921424 12 11 10 1763 1760 I7SS 1788 1785 1780 SI s» 53 9-076533 9-077583 9-078631 9-996889 9-996874 9-996858 9-079644 9-080710 9-081773 10-920356 10-919290 10-918227 7 1750 1747 1742 1777 1772 1767 1763 1760 I7SS 54 55 56 9-079676 9-080719 9-081759 9-996843 9-996828 9-996812 9-082833 9-083891 9-084947 10-917167 10-916109 10-915053 6 5 4 1738 1733 1730 1^ ^2 9-082797 9-083832 9-084864 9-085894 9-996797 9-996782 9-996766 9-996751 9-086000 9-087050 9-08809S 9-089144 10-914000 10-912950 10-911902 10-910856, 3 2 I 1725 1720 1717 1750 1747 1743 / Cosine. Sine. Cotang. Tangent. I rain, to 30 min. 8.S degrees. 7 degrees. U min. to 30 rain. / Sine. DiS for 100' Cosins. Diff. for 100' *7 27 17 27 27 27 »5 i7 27 17 *7 27 27 27 27 28 27 27 27 28 27 27 28 27 28 27 z8 27 Tangent. Diff. for 100" Cotang. / I 9*085894 9*086922 9087947 9-996751 9*996735 9-996720 9*089144 9*090187 9*091228 10-910856 10*909813 10*908772 60 59 58 I713 1708 1705 1738 1735 1730 3 4 5 9*088970 9*089990 9*091008 9-996704 9-996688 9-996673 9*092266 9*093302 9*094336 10*907734 10*906698 10*905664 55 1700 1697 1693 1727 1723 1718 6 7 8 9-092024 9-093037 9*094047 9996657 9-996641 9*996625 9-095367 9*096395 9*097422 10*904633 10-903605 10*902578 54 53 5» 1688 1683 1682 1713 1712 1707 9 10 II 9*095056 9-096062 9*097065 9*996610 9*996594 9996578 9*098446 9*099468 9*100487 10*901554 10*900532 10*899513 51 50 +9 1677 1672 1668 1703 1698 1695 12 14 9*098066 9-099065 9-100062 9*996562 9*996546 9-996530 9*101504 9*102519 9*103532 10*898496 10*897481 10*896468 48 47 4_6 45 44 43 1665 1662 1657 1692 1688 1683 15 16 17 9*101056 9*102048 9*103037 9*996514 9*996498 9*996482 9-104542 9-105550 9*106556 10-895458 10*894450 10*893444 1653 1648 1647 1680 1677 1672 18 19 zo 9-104025 9*105010 9*105992 9*996465 9-996449 9-996433 9*107559 9*108560 9*109559 10*892441 10*891440 10*890441 42 41 40 39 38 37 1642 1637 1635 1668 1665 1662 ZI 22 *3 9*106973 9-107951 9-108917 1630 1627 1623 9*996417 9*996400 9*996384 9*110556 9-111551 9-112543 1658 1653 1650 10*889444 10-888449 10*887457 24 26 9*109901 9*110873 9*111842 1620 1615 1612 9*996368 9*996351 9*996335 9-113533 9*114521 9*115507 1647 1643 1640 10-886467 10*885479 10*884493 36 35 34 27 28 29 30 9*112809 9*113774 9'"4737 9*115698 1608 1605 160Z 9-996318 9*996302 9*996285 9*996269 9*116491 9-117472 9*118452 9*119429 1635 1633 1628 10*883509 io*88z5z8 10*881548 10*880571 33 32 3" 30 ' Cosine, Sine. Cotang. Tangent. ' 30 min. to 60 min. 1 82 degrees. 7 degrees. 30 min. to 60 min. / Sine. Ditr. for 100" 1597 1595 1590 Cosine, Dlff. for 100' 28 28 27 28 28 28 28 28 28 28 28 28 28 28 z8 28 30 28 28 30 28 28 30 28 30 30 28 30 28 3° Tangent. Dift for 100' Cotang.- ' 3° 3' 32 9'ii5698 9'ii6656 9-117613 9-996269 9-996252 9-996235 9-119429 9-120404 9- 121377 10-880571 10-879596 10-878623 30 29 28 1625 1622 1618 33 34 35 9-118567 9-I195I9 9- 120469 9-996219 9-996202 9-996185 9-122348 9-123317 9-124284 10-877652 10-876683 10-875716 27 26 25 1587 1583 1580 1615 1612 1608 36 37 38 9-121417 9-122362 9-123306 9-996168 9-996151 9-996134 9-125249 9-126211 9-127172 10-874751 10-873789 10-872828 24 23 22 1575 1573 1570 1603 1602 1597 39 40 41 9-124248 9-125187 9-126125 9-996117 9-996100 9-996083 9-128130 9-129087 9-130041 10-871870 10-870913 10-869959 21 20 19 1565 1563 1558 '595 1590 1588 42 43 44 9'i27o6o 9-127993 9-128925 9-996066 9-996049 9-996032 9-130994 9-131944 9-132893 10-869006 10-868056 10-867107 18 17 16 1555 '553 1548 '583 1582 1577 45 46 47 9-129854 9-130781 9-131706 9-996015 9-995998 9-995980 9-133839 9-134784 9-135726 10-866161 10-865216 10-864274 15 14 13 '545 1542 1540 '575 1570 1568 48 49 50 9-132630 9-133551 9-134470 1535 1532 1528 9-995963 9-995946 9-995928 9-136667 9-137605 9-138542 1563 1562 1557 10-863333 10*862395 10-861458 12 10 5' 5* 53 9-135387 9-136303 9-137216 9-995911 9-995894 9-995876 9-139476 9-140409 9'i4i340 10-860524 10-859591 10-858660 9 8 7 1527 152Z 1520 1555 1552 1548 54 55 56 9-138128 9-139037 9-139944 1515 1512 1510 9*995859 9-995841 9-995823 9- 142269 9-143196 9-144121 1545 1542 1538 10-857731 10-856804 10-855879 6 5 4 57 58 59 60 9-140850 9-141754 9-142655 9-I43555 1507 1502 1500 9-995806 9-995788 9-995771 9-995753 9-145044 9-145966 9-146885 9-147803 1537 1532 1530 10-854956 10-854034 10-853115 10-85Z197 3 2 I / Cosine. Sine. Cotang. Tangent. / min. to 30 min. 82 degrees. 8 degrees. n min. to 30 rnin. | / Sine. Diff. for 100' Cosine. Diff. for 100" 3° 30 30 30 28 30 30 30 3» 30 30 30 30 30 32 30 30 32 30 32 30 32 32 30 32 32 30 32 32 32 Tangent. Diff: for 100" Cotang. - I 9'i43S55 9"i+4453 9" '45 349 9"995753 9'995735 9-995717 9*147803 9*148718 9-149632 10*852197 10*851282 10*850368 60 59 58 »497 1493 1490 1525 1523 1520 3 4 5 9-146243 9-147136 9- 148026 9-995699 9-995681 9-995664 9*150544 9*151454 9-152363 10*849456 10*848546 10*847637 1? 55 1488 1483 1482 1517 '515 1510 6 7 g 9-148915 9- 149802 9-150686 9-995646 9-995628 9-995610 9*153269 9*154174 9"»SS077 10*846731 10*845826 10*844923 54 53 52 1478 1473 1472 1508 1505 1502 9 lO II 9-151J69 9- 1 5245 1 9-153330 9'99559i 9'995573 9"995555 9*155978 9*156877 9'i57775 10*844022 10-843123 10-842225 5' 50 49 1470 1465 1463 1498 1497 '493 IZ '3 H 9-154208 9-155083 9'JSS9S7 9-9'95537 9*99SSi9 9-995501 9*158671 9-159565 9*160457 10-841329 10-840435 10-839543 48 47 46 1458 1457 1455 '49° 1487 1483 17 9-156830 9-157700 9-158569 1450 1448 1443 9-995482 9-995464 9-995446 9*161347 9*162236 9*163123 1482 1478 '475 10-838653 10-837764 10*836877 45 44 43 i8 "9 9'i59435 9-160301 9-161164 9*995427 9*995409 9*995390 9*164008 9*164892 9*165774 10*835992 10*835108 10*834226 42 4' 40 1443 J438 1435 '473 1470 1467 21 22 23 9-i6io25 9-162885 9-163743 1433 1430 1428 9*995372 9*995353 9'995334 9*166654 9*167532 9*168409 1463 1462 1458 10*833346 10-832468 10*831591 37 24 2i 9-164600 9-165454 9-166307 1423 1422 1420 9*995316 9*995297 9*995278 9*169284 9*170157 9*171029 '455 1453 1450 10-830716 10*829843 10*828971 36 35 34 27 28 29 30 9-167159 9*168008 9-168856 9*169702 1415 1413 1410 9*995260 9*995241 9*995222 9-995203 9*171899 9*172767 9*173634 9*174499 1447 1445 1442 10*828101 10*827233 10*826366 10-825501 33 32 31 30 / Cosine. Sine. Cotang. Tangent. 1 30 min. to 60 min. 81 degrees. 8 degrees. 80 min. to 60 min. / Sine. DlfE for 100'' Cosine. Diff. for 100" 32 32 32 32 32 32 32 32 32 32 33 32 32 33 32 33 32 33 32 33 33 Tangent, Diff. for 100" Cotang. / 3° 3» 32 9-169702 9-170547 9-171389 9-995203 9-995184 9-995165 9-174499 9-175362 9-176224 10-825501 10-824638 10-823776 30 28 1408 1403 1402 1438 '437 1433 33 34 35 9-172230 9-173070 9-173908 9-995146 9-995127 9-995108 9-177084 9-177942 9-178799 10-822916 10-822058 10-821201 27 26 25 1400 1397 •393 1430 1428 1427 36 37 38 9' '74744 9'i75578 9-176411 9-995089 9-995070 9-995051 9-179655 9-180508 9-181360 10-820345 10-819492 10-818640 24 23 22 1390 1388 1385 1422 1420 1418 39 40 4> 9-177242 9-178072 9-178900 9-995032 9-995013 9'994993 9-182211 9-183059 9-183907 10-817789 10-816941 10-816093 21 20 19 1383 1380 1377 141 3 1413 1408 42 43 44 9-179726 9-180551 9-181374 9'994974 9*994955 9'994935 9-184752 9-185597 9-186439 10-815248 10-814403 10-813561 18 17 16 1375 1372 1370 1408 1403 1402 4I 47 9*182196 9-183016 9-183834 9-994916 9-994896 9-994877 9-187280 9-188120 9-188958 10-812720 10-811880 10-811042 15 H 13 1367 1363 1362 1400 '397 1393 48 49 5° 9-184651 9-185466 9-186280 9-994857 9-994838 9-994818 9-189794 9-190629 9-191462 10-810206 10-809371 10-808538 12 11 10 1358 1357 1353 1392 1388 1387 51 52 53 9-187092 9-187903 9-188712 9-994798 9-994779 9'994759 9-192294 9-193124 9"i93953 10-807706 10-806876 10-806047 9 8 7 1352 1348 1345 32 33 33 1383 1382 1378 54 55 5« 9-189519 9-190325 9-191130 9*994739 9-994720 9-994700 9-194780 9-195606 9-196430 10-805220 10-804394 10-803570 6 5 4 1343 1342 1338 32 33 33 33 33 33 '377 1373 1372 5^1 9'i9i933 9-192734 9*»93534 9-194332 9-994680 9-994660 9-994640 9-994620 9-197253 9-198074 9-198894 9-199713 10-802747 10-801926 10-801106 10-800287 3 2 I '335 '333 1330 •1368 1367 1365 1 Cosine. Sine. Cotang. Tangent. ' min. to 30 min. 81 degrees. 9 degrees. min. to 30 min. ' Sine. DIIE for 100' 1328 1327 13^3 Cosine. Diff. for 100" Tangent. mte. for 100' Cotang. / o I 2 9-194332 9-195129 9-195925 9-994620 9-994600 9-994580 9-199713 9-200529 9-201345 10-800287 10-799471 10-798655 60 11 33 33 33 33 35 33 33 33 35 33 33 35 1360 1360 1357 3 4 5 9-196719 9-197511 9-198302 9-994560 9-994540 9-994519 9-202159 9-202971 9-203782 10-797841 10-797029 10-796218 57 56 55 1320 1318 1315 1353 1352 1350 6 7 8 9- 19909 1 9-199879 9*200666 9-994499 9"994479 9*994459 9-204592 9-205400 9-206207 10-795408 10-794600 10793793 54 53 5^ 1313 1312 1308 1347 1345 1343 9 lO II 9-201451 9-202234 9-203017 9-994438 9-994418 9-994398 9-207013 9-207817 9-208619 10-792987 10-792183 10-791381 51 50 49 1305 1305 1300 1340 1337 1335 12 13 14 9-203797 9-204577 9-205354 9"994377 9"9943S7 9-994336 9-209420 9-210220 9-211018 10-790580 10-789780 10-788982 48 47 46 1300 1295 1295 33 35 33 1333 1330 1328 '5 16 17 9-206131 9-206906 9-207679 9-994316 9-994295 9-994274 9-211815 9-212611 9-213405 10-788185 10-787389 10-786595 45 44 43 1292 1288 1288 35 35 33 35 35 35 1327 1323 1322 18 '9 20 9-208452 9-209222 9-209992 9-994254 9-994233 9-994212 9-214198 9-214989 9-215780 10-785802 10-785011 10-784220 42 41 40 1283 1283 1280 1318 1318 I3'3 21 22 23 9-210760 9-211526 9-212291 9-994191 9-994171 9-994150 9-216568 9-217356 9"2i8i42 10-783432 10-782644 10-781858 39 38 37 1277 1275 1273 33 35 35 1313 1310 1307 24 9-213055 9-213818 9-214579 9-994129 9-994108 9-994087 9-218926 9-219710 9 220492 10-781074 10-780290 10-779508 36 35 34 1272 1268 1265 35 35 35 1307 1303 1300 27 28 29 30 9-215338 9-216097 9-216854 9-217609 9-994066 9-994045 9-994024 9-994003 9-221272 9-222052 9-222830 9-223607 10-778728 10-777948 10-777170 10-776393 33 3a 31 30 1265- 1262 1258 35 35 35 1300 1297 1295 / Cosine. Sine. Cotang. Tangent. ' 30 min. to 60 min. 80 degrees. 9 degrees. 30 min. to 60 min. / Sine. Diff. for 100" Cosine. Dlff. for Tangent. Diir. for 100" Cotang. ' 3° 31 32 9'2i76o9 9'2i8363 9-219116 9-994003 9-993982 9-993960 100" 3S 37 35 9-223607 9-224382 9-225156 10-776393 10-775618 10-774844 30 29 28 1257 1255 1253 1292 1290 1288 33 34 35 9-219868 9-a20&i8 9-221367 9-993939 9-993918 9-993897 9-225929 9-226700 9-227471 10-774071 10-773300 10-772529 27 26 ^S 1250 1248 1247 35 35 37 1285 1285 1280 36 37 38 9-222115 9-222861 9-223606 9-993875 9-993854 9-993832 9-228239 9-229007 9-229773 10-771761 10-770993 10-770227 24 23 22 1243 1242 1238 35 37 35 1280 1277 1277 39 4° 41 9-224349 9-225092 9-225833 9«993Sii 9-993789 9-993768 9-230539 9-231302 9-232065 10-769461 10-768698 10-767935 21 2C 19 1238 123s 1233 37 35 37 35 37 37 1272 1272 1268 42 43 44 9-226573 9-227311 9-228048 9-993746 9-993725 9-993703 9-232826 9-2335S6 9"a3434S 10-767174 10-766414 10-765655 18 J 7 16 1230 1228 1227 1267 1265 1263 47 9-228784 9-2295x8 9-230252 1223 1223 1220 9-993681 9-993660 9-993638 35 37 37 37 37 37 9-235103 9"*3S8S9 9-236614 1260 1258 1257 10-764897 10-764141 10-763386 15 14 13 48 49 5° 9-230984 9-231715 9-132444 9-993616 9"993S94 9'993S7» 9-237368 9-238120 9-238872 10-762632 10-761880 10-761128 12 II 10 1218 1215 1213 1253 1253 1250 SI S3 9-233172 9-233899 9-234625 9-993550 9-993528 9-993506 9-239622 9-240371 9-241118 10-76037S 10-759629 10-7588S2 9 8 7 1212 1210 1207 37 37 37 1248 1245 1245 54 9'235349 9-236073 9-236795 9-993484 9-993462 9.993440 9-241865 9-242610 9'H33S4 10-758135 10-757390 10-756646 6 S 4 1207 1203 1200 37 37 37 1242 1240 1238 57 S8 1^ 9-237515 9-238235 9-238953 9-239670 9-993418 9-993396 9'993374 9'9933Si 9-244097 9-244839 9-245579 9-246319 10-755903 10-755161 10-754421 10-753681 3 2 : 1200 "97 1195 37 37 38 1237 1233 1233 ' Cosine. Sine. Cotang. Tangent. / min. to 30 min. 1 80 degrees. i 10 degrees. min. to 30 min. J Sine. Diff. for 100" Cosine. Dlff. for Tangent. Diff. for 100" Cotang. ' o I 2 9-239670 9-240386 9-241 lOI 9-993351 9-9933Z9 9-993307 100" 9-246319 9-247057 9*247794 10-753681 10-752943 10-752206 60 59 58 1193 1 192 1188 37 37 38 37 37 38 38 38 1230 1228 1227 3 4- 5 9-241814 9-242526 9-243237 9-993284 9-993262 9-993240 9-248530 9-249264 9-24999S 10-751470 10-750736 10-750002 SS 1187 1185 J183 1223 1223 1220 6 7 g 9-243947 9-244656 9-245363 9-993217 9-993195 9-993172 9-250730 9-251461 9-252191 10-749270 10-748539 10-747809 54 53 52 1182 1178 "77 I21S I2I7 I2I5 9 10 11 9-246069 9-246775 9-247478 9-993149 9-993127 9-993104 9-252920 9-253648 9"-'54374 10-747080 io-746352 10-745626 5' 50 +9 "77 1 172 1172 37 38 38 37 38 I2I3 I2I0 1210 12 13 H 9-24818 1 9-248883 9-249583 I 70 I 67 1165 9-993081 9-993059 9-993036 9-255100 9-255824 9-256547 1207 1205 1203 10-744900 10-744176 io'743453 48 47 46 15 16 17 9-250282 9-250980 9-251677 1163 1162 1 160 9-993013 9-992990 9-992967 38 38 38 9-257269 9-257990 9-258710 1202 1200 II98 10-742731 10-742010 10-741290 45 44 43 18 •9 20 9-252373 9-253067 9-253761 "57 "57 "53 9-992944 9-992921 9-992898 38 38 9-259429 9-260146 9-260863 "95 "95 1192 10-740571 10-739854 10-739137 42 41 40 21 22 23 9'254453 9-255144 9-255834 1152 1150 1 148 9-992875 9-992852 9-992829 11 38 9-261578 9-262292 9-263005 1190 1188 1187 10-738422 10-737708 10-736995 39 38 37 24 26 9-256523 9-257211 9-257898 "47 "45 1 142 9-992806 9-992783 9-992759 38 40 38 9-263717 9-264428 9-265138 11S5 "83 1182 10-736283 10-735572 10-734862 36 35 34 27 28 29 30 9-258583 9-259268 9-259951 9-260633 1 142 1138 "37 9-992736 9-992713 9-992690 9-992666 38 38 40 9-265847 9-266555 9-267261 9-267967 1 180 "77 "77 10-734153 10-733445 10-732739 10-732033 33 32 3' 30 / Cosine. Sine. Cotang;, Tangent. ' 30 min. to 60 min. 79 degrees. 10 degrees. 30 min. to 60 min. / Sine. Diff. for 100" Cosine. Diff. for 100' Tangent. Diff. for ico" Cotang. ' 3° 31 32 9-260633 9-261314 9-261994 9-992666 9-992643 9-992619 9-267967 9-268671 9-269375 10-732033 10-731329 10-730625 3C 29 28 1135 I133 1132 38 40 38 "73 "73 1170 33 34 35 9-262673 9-263351 9-264027 9-992596 9-992572 9-992549 9-270077 9-270779 9-271479 10-729923 10-729221 10-728521 27 26 25 1130 1 127 1127 40 38 40 40 38 40 1170 1167 1165 36 37 3S 9-264703 9-265377 9-266051 9-992525 9-992501 9-992478 9-272178 9-272876 9'273573 10-727822 10-727124 10-726427 24 23 22 1123 1123 1120 1163 1162 1160 39 40 41 9-266723 9-267395 9-268065 9-392454 9-992430 9-992406 9-274269 9-274964 9-275658 10-725731 10-725036 10-724342 21 20 ■9 1120 1117 1115 40 40 40 38 40 40 40 40 40 1158 "57 "55 42 43 44 9-268734 9-269402 9-270069 9-992382 9-992359 9-992335 9-276351 9-277043 9-277734 10-723649 10-722957 10-722266 i8 17 16 1113 1112 11 10 "53 1152 1150 45 46 47 9-270735 9-271400 9-272064 9-992311 9-992287 9-992263 9-278424 9-279113 9-279801 10-721576 10-720887 10-720199 15 14 13 1108 1107 1103 1148 "47 "45 48 49 5° 9-272726 9-273388 9-274049 9-992239 9-992214 9-992190 9-280488 9-281174 9-281858 10-719512 10-718826 10-718142 12 11 IC 1103 1102 1098 42 40 40 40 40 42 40 4.2 40 40 42 40 "43 J 140 1140 51 52 53 9-274708 9-275367 9-276025 9-992166 9-992142 9-992118 9-282542 9-283225 9-283907 10-717458 10-716775 10-716093 7 1098 1097 1093 113S "37 "35 54 55 56 9-276681 9-277337 9-277991 9-992093 9-992069 9-992044 9-284588 9-285268 9-285947 10-715412 10-714732 10-714053 6 5 4 1093 1090 1090 "33 1132 1128 57 58 59 60 9-278645 9-279297 9-279948 9-280599 9-992020 9-991996 9-991971 9-991947 9-286624 9-287301 9-287977 9-288652 10-713376 10-712699 10-712023 10-711348 3 2 I 10S7 1085 1085 1128 1127 1 125 1 ' Cosine. Sine. Cotang. Tangent. ' min. to 30 min. 79 degrees. 11 degrees. min. to 30 min. ' Sine. Dltf. for ICO* Cosiue. Diffi for 100" Tangent. DIK for loo' Cotang. / o I a 9-280599 9-281248 9-281897 9-991947 9-991922 9-991897 9-288652 9-289326 9-289999 10-711348 10-710674 10-710001 60 11 1082 1082 1078 42 4a 40 1123 1 122 1120 3 4 5 9-282544 9-283190 9-283836 9-991873 9-991848 9-991823 9-290671 9-291342 9-292013 10-709329 10-708658 10-707987 57 56 55 1077 1077 1073 42 42 40 II18 1118 I115 6 7 8 9-284480 9-285124 9-285766 9-991799 9-991774 9-991749 9-292682 9-293350 9-294017 10-707318 10-706650 10-705983 54 53 5» 1073 1070 1070 42 42 42 1 1 13 1 1 12 1 112 9 lO II 12 13 H 9-286408 9-287048 9-287688 1067 1067 1063 9-991724 9-991699 9-991674 42 42 42 42 4a 42 9-294684 9-295349 9-296013 1108 1 107 1107 10-705316 10-704651 10-703987 SI 5° 49 9-288326 9-288964 9-289600 9-991649 9-991624 9-991599 9-296677 9-297339 9-298001 10-703323 10-702661 10-701999 48 47 46 1063 1060 1060 1 103 1103 1 102 15 i6 I? 9-290236 9-290870 9-291504 1057 1057 1055 9"99i574 9-991549 9-991524 42 42 43 9-298662 9-299322 9-299980 1 100 1097 1097 10-701338 10-700678 10-700020 45 44 43 i8 20 9-292137 9-292768 9-293399 1052 1052 1050 9-991498 9-991473 9-991448 42 42 43 9-300638 9-301295 9-301951 1095 1093 1093 10-699362 10-698705 10-698049 42 41 40 21 22 23 9-294029 9-294658 9-295286 1048 1047 1045 9-991422 9-991397 9-991372 42 42 43 9-302607 9-303261 9-303914 1090 1088 1088 10-697393 10-696739 10-696086 39 38 37 24 *5 26 9-295913 9-296539 9-297164 1043 1042 1040 9-991346 9-991321 9-991295 42 43 42 9-304567 9-305218 9-305869 1085 1085 1083 10-695433 10-694782 10-6941 3 I 36 35 34 27 28 29 30 9-297788 9-298412 9-299034 9-299655 1040 1037 1035 9-991270 9-991244 9-991218 9-991193 43 43 42 9-306519 9-307168 9-307816 9-308463 1082 1080 1078 10-693481 10-692832 10-692184 10-691537 33 32 3' 30 / Cosine. Sine. Cotang. Tangent. / 30 min. to 60 min. 78 degrees. 11 degrees. 30 min. to 60 min. / Sine. Diff. for 100* Cosine. Diff. for 100' Tangent. Diff. for 100' Cotang. 30 31 32 9-299655 9-300276 9-300895 9-991193 9-991167 9-991 141 9-308463 9-309109 9'309754 10-691537 10-690891 io-69oa46 30 29 a8 1035 1032 103a 43 43 43 42 43 43 43 43 43 43 43 43 45 43 43 43 45 43 45 43 43 4S 45 43 45 4S 43 45 45 45 1077 1075 1075 33 34 35 9-301514 9-302132 9-302748 1030 1027 1027 9-991115 9-991090 9-991064 9-310399 9-311042 9-311685 1072 107a 1070 10-6S9601 10-688958 10-688315 a7 a6 »5 36 37 38 9-303364 9-303979 9"304593 1025 1023 1023 9-991038 9-991012 9-990986 9-312327 9-312968 9-313608 1068 1067 1065 10-687673 10-687032 10-686392 24 23 22 39 40 41 9-305207 9-305819 9-306430 1020 1018 1018 9-990960 9-990934 9-990908 9-314247 9-314885 9"3i55a3 1063 1063 1060 10-685753 10-685115 10-684477 21 20 19 4a 43 44 9-307041 9-307650 9-308259 9-990882 9-990855 9-990829 9-316159 9-316795 9-317430 10-683841 10-683205 10-6S2570 18 17 16 1015 1015 1013 1060 1058 1057 45 46 47 9-308867 9-309474 9-310080 9-990803 9-990777 9-990750 9-318064 9-318697 9-319330 10-681936 10-681303 10-680670 15 14 13 1012 10 10 1008 1055 1055 1052 48 49 5° 9-310685 9-311289 9-311893 1007 1007 1003 9-990724 9-990697 9-990671 9-319961 9-320592 9-321222 1052 1050 1048 10-680039 10-679408 10-678778 12 11 10 51 5^ 53 9-312495 9-313097 9-313698 1003 1002 998 9-990645 9-990618 9-990591 9-321851 9-322479 9-323106 1047 1045 1045 10-678149 10-677521 10-676894 7 54 55 56 9-314297 9-314897 9'3i5495 9-990565 9-990538 9-990511 9-323733 9'324358 9-324983 10-676267 10-675642 10-675017 6 5 4 1000 997 995 1042 104a 1040 57 58 60 9-316092 9-316689 9-317284 9-317879 9-990485 9-990458 9-990431 9-990404 9-325607 9-3a6a3i 9-326853 9'3i7475 10-674393 10-673769 10-673147 10-672525 3 2 I 995 99a 992 1040 1037 1037 ' Cosine. Sine. Cotang. Tangent. ' min. to 30 min. 78 degrees. D ■" 12 degrees. min. to 30 min. ' Sine. DW. for 100' Cosine. Diff. for Tangent. Dlft for 100' Cotang. ' o I 9-317879 9"3i8+73 9'3i9o66 9-990404 9-990378 9-990351 100" 43 45 45 45 45 45 47 45 45 45 45 47 45 45 47 45 47 45 47 45 47 47 45 47 47 47 47 47 45 47 9'3*7475 9-328095 9-328715 10-672525 10-671905 10-671285 60 11 990 988 9S7 1033 1033 1032 3 4 5 9-319658 9.320249 9"32o84o 9-990324 9-990297 9-990270 9-319334 9-329953 9-330570 10-670666 10-670047 10-669430 57 56 55 98s 985 983 1032 J028 1028 6 7 8 9-321430 9-322019 9-322607 9-990243 9-990215 9-990188 9-331187 9-331803 9-332418 10-668813 10-668197 10-667582 54 53 Si 982 980 978 1027 1025 1025 9 lo 11 9-323194 9-323780 9-324366 9-990161 9-990134 9-990107 9-333033 9-333646 9-334259 10-666967 10-666354 10-665741 51 5° 49 977 977 973 1022 1022 1020 12 1+ 9-324950 9'3^5534 9-326117 973 972 972 9-990079 9-990052 9-990025 9-334871 9335482 9-336093 1018 1018 1015 10-665129 10-664518 10-663907 48 47 46 17 9-326700 9-327281 9-327862 968 968 967 9-989997 9-989970 9-989942 9-336702 9-337311 9-337919 1015 1013 1013 10-663298 10-662689 10-662081 45 44 43 i8 19 20 9-328442 9-329021 9*3^9599 9-989915 9-989887 9-989860 9-338527 9'339i33 9-339739 10-661473 10-660867 10-660261 42 41 40 965 963 962 1010 lOIO 1008 21 22 23 9.-330176 9'33°7S3 9-331329 9-989832 9-989804 9-989777 9-34^344 9-340948 9-341552 10-659656 30-659052 10-658448 39 38 37 962 960 957 1007 1007 1005 24- 26 9-331903 9-332478 9-333051 9-989749 9-989721 9-989693 9-342155 9-342757 9-343358 10-657845 10-657243 10-656642 36 35 34 958 955 955 1003 J002 1000 27 28 29 3° 9-333624 9"334i95 9" 3 34767 9'335337 9-989665 9-989637 9-989610 9-989582 9-343958 9-344558 9-345'57 9-345755 10-656042 10-655442 10-654843 10-654245 33 32 31 30 952 953 95° 1000 998 997 ' Cosine. Sine. Cotang. Tangent. 1 30 min. to 60 min. 77 degrees. 12 degrees. 30 min. to 60 min. / Sine. Dim for 100' Cosine. DifE for 100' 4F 47 47 47 47 47 47 48 47 47 48 47 48 47 48 48 47 48 48 47 48 48 48 48 48 48 48 48 48 48 Tangent. Diff. for lOO* Cotang. / 30 3Z 9'335337 9-335906 9-336475 9-989582 9-989553 9-9S9525 9-345755 9-346353 9-346949 10-654245 10-653647 10-653051 30 29 28 948 948 947 997 993 993 33 34 35 9-337043 9-337610 9-338176 9-989497 9-989469 9-989441 9-347545 9-348 141 9-348735 10-652455 10-651859 10-651265 27 26 25 945 943 943 993 990 990 988 9S7 987 36 37 38 9-338742 9-339307 9-339871 942 940 938 9-989413 9-989385 9-989356 9-349329 9-349922 9-350514 10-650671 10-650078 10-649486 24 23 22 39 40 41 9-340434 9-340996 9-341558 9-989328 9-989300 9-989271 9-351106 9-351697 9-352287 10-648894 10-648303 10-647713 21 20 19 937 937 935 985 983 982 42 43 44 9-342 1 19 9-342679 9-343239 9-989243 9-989214 9-989186 9-352876 9-353465 9-354053 10-647124 10-646535 10-645947 17 16 933 933 930 930 928 928 982 980 978 46 47 9"343797 9-344355 9-344912 9-989157 9-989128 9-989100 9-354640 9-355227 9-355813 10-645360 10-644773 10-644187 15 14 13 978 977 975 48 49 5° 9'345469 9-346024 9"346579 9-989071 9-989042 9-989014 9-356398 9-356982 9-357566 10-643602 10-643018 10-642434 12 II 10 925 925 925 973 973 972 52 S3 9-347134 9-347687 9-348240 9-988985 9-988956 9-988927 9-358149 9-358731 9-359313 10-641851 10-641269 10-640687 9 % 7 922 922 920 970 970 967 968 965 965 54 55 56 9-348792 9"349343 9'349893 9-988898 9-988869 9-988840 9-359893 9-360474 9-361053 10-640107 10-639526 10-638947 6 5 4 918 917 917 915 913 913 57 58 11 9-350443 9-350992 9-351540 9-352088 9-988811 9-988782 9-988753 9-988724 9-361632 9-362210 9-362787 9-363364 10-638368 10-637790 10-637213 10-636636 3 2 I 963 962 962 1 Cosine. Sine. Cotang. Tangent. 1 min. to 30 min. 77 degrees. D 2 13 degrees. 1 min. to 30 min. Sine. Diff. for 100" Cosine. Diif. for 100" 48 48 5° 48 48 5° 48 ^0 48 50 48 5° 48 50 50 5° 48 50 50 5° so 50 5° 5° 5° 50 S» S° 50 50 Tangent. Diff. for 100" Cqtang. / o I 2 9-352088 9-352635 9-353181 9-988724 9-988695 9-988666 9-363364 9-363940 9-364515 10-636636 10-636060 10-635485 60 59 58 912 910 908 960 958 958 3 4 5 9-353726 9'3S4i7i 9"354-8i5 g-988636 9-988607 9-988578 9-365090 9-365664 9-366237 10-634910 10-634336 10-633763 57 56 55 908 907 905 957 955 955 6 7 8 9'35S358 9-355901 9*3 5644-3 9-98854S 9-988519 9-988489 9-366810 9-367382 9-367953 10-633190 10-632618 10-632047 54 53 5» 905 903 902 953 952 952 9 10 II 9-356984. 9"3575H 9-358064 9-988460 9-988430 9-988401 9-368524 9-369094 9-369663 10-631476 10-630906 10-630337 51 5° 49 900 900 898 950 948 948 12 13 9-358603 9-359141 9-359678 9-988371 9-988342 9-988312 9-370232 9-370799 9-371367 10-629768 10-629201 10-628633 48 897 895 895 945 947 943 15 i6 17 9-360215 9-360752 9-361287 89s S92 892 9-988282 9-988252 9-988223 9-371933 9-372499 9-373064 943 942 942 10-628067 10-627501 10-626936 45 44 43 i8 '9 20 9-361822 9-362356 9-362889 890 888 888 9-988193 9-988163 9-988133 9-373629 9"374i93 9-374756 940 938 938 10-626371 10-625807 10-625244 42 4» 40 21 22 23 9-363422 9-363954 9-364485 887 885 885 9-988103 9-988073 9-988043 9-375319 9-375881 9-376442 937 935 935 10-624681 10-6241 19 10-623558 39 38 37 24 26 9-365016 9-365546 9-366075 883 882 882 9-988013 9-987983 9-987953 g-377003 9'377503 9-378122 933 932 932 10-622997 10-622437 10-621878 36 35 34 27 28 29 30 9-366604 9-367131 9-367659 9-368185 878 880 877 9-987922 9-987892 9-987862 9-987S32 9-378681 9-379239 9"379797 9-380354 930 930 928 10-621319 10-620761 10*620203 10-619646 33 32 31 30 / Cosine. Sinp. Cotang. Tangent. ' 30 min. to 60 min. 76 degrees. 13 degrees. 30 min. to 60 min. ' Sine. Diff. for 100" Cosine. Diff. for 100' s» 50 5a 50 5* 50 52 50 5* 5* 50 5* 5a 5* 5* 5* 5* 52 52 52 52 52 52 53 52 52 S3 52 52 53 Tangent. Diff. for 100" Cotang. ' 3° 3' 32 9-368185 9-368711 9-369236 9-987832 9-987801 9-987771 9-380354 9-380910 9-381466 10-619646 10-619090 10-618534 30 877 875 87s 927 927 923 33 34 35 9-369761 9-370285 9-370808 9-987740 9-987710 9-987679 9-382020 9-382575 9-383129 10-617980 10-617425 10-616871 11 25 873 872 870 925 923 922 36 37 38 9-371330 9-371852 9"37»373 9-987649 9-987618 9-987588 9-383682 9*384234 9-384786 10-616318 10-615766 10*615214 24 23 22 870 868 868 920 920 918 39 40 41 9-372894 9"3734i4 9-373933 9-987557 9-987526 9-987496 9-385337 9-385888 9-386438 9-386987 9-387536 9-388084 10-614663 10-614112 10-613562 21 20 '9 867 865 865 918 917 915 42 43 44 9-37445* 9-374970 9-375487 863 862 860 9-987465 9-987434 9-987403 915 913 912 10-613013 10-612464 10-611916 18 17 16 45 46 47 9-376003 9-376519 9-377035 9-987372 9-987341 9-987310 9-388631 9-389178 9-389724 10-611369 10-610822 10-610276 '5 14 13 860 860 857 912 910 910 48 49 5° 9-377549 9-378063 9-378577 857 857 851 9-987279 9-987248 9-987217 9-390270 9-390815 9-391360 908 908 905 10-609730 10-609185 10-608640 12 11 10 SI 5* 53 9-379089 9-379601 9-380113 !53 850 848 848 9-987186 9-987155 9-987124 9-391903 9-392447 9-392989 907 903 903 10-608097 10-607553 10-607011 I 7 54 55 56 9-380624 9-38H34 9-381643 9-987092 9-987061 9-987030 9-393531 9-394^373 9-394614 903 902 900 10-606469 10-605927 10-605386 6 5 4 11 59 60 9-382152 9-382661 9-383168 9-383675 848 845 84s 9-986998 9-986967 9-986936 9-986904 9-395154 9-395694 ,9-396233 9-396771 900 898 897 10-604846 10-604306 10-603767 10-603229 3 2 I / Cosine. Sine. Cptang, Tangent. 1 min. to 30 min. ,76 degrees. 14 degrees. min. to 30 min. ' Sine. Diffi for 100' • Cosine. DifT. for lOO' 5* 53 53 5* 53 53 5a 53 53 53 53 53 53 53 53 53 53 53 S3 55 53 S3 55 53 55 53 . 55 S3 55 53 Tiingent. Dlir. for 100' " Cotang. ' o I 2 9-383675 9-384182 9-384687 9-986904 9-986873 9-986841 9-396771 9-397309 9-397846 10-603229 10-602691 10-602154 60 11 845 842 842 897 895 895 3 4 5 9-385192 9-385697 9-386201 9-986809 9-986778 9-986746 9-398383 9-398919 9*399455 10-601617 10-601081 10-600545 55 842 840 838 893 893 892 6 7 g 9-386704 9-387207 9-387709 9-986714 9-986683 9-986651 9-399990 9-400524 9-401058 io*6oooio 10-599476 10-598942 54 53 838 835 890 890 888 9 10 II 9-388210 9-388711 9-389211 9-986619 9-986587 9-986555 9-401591 9-402124 9-402656 10-598409 10-597876 10-597344 51 50 49 1" 833 833 888 8S7 885 12 14 9-389711 9-390210 9-390708 9-986523 9-986491 9-986459 9-403187 9-403718 9-404249 10-596813 10-596282 10-595751 48 832 830 830 885 885 882 17 9-391206 9-391703 9-392199 9-986427 9-986395 9-986363 9-404778 9-405308 9-405836 10-595222 10-594692 10-594164 45; 44, 43 828 827 827 883 880 880 18 20 9-392695 9-393191 9-393685 9-986331 9-986299 9-986266 9-406364 9-406892 9-407419 10-593636 10-593108 10-592581 4^1 41; 40' 827 823 823 880 878 877 21 22 23 9-394179 9-394673 9-395166 823 822 820 9-986234 9-986202 9-986169 9-407945 9-408471 9-408996 877 87s 875 10-592055 10-591529 10-591004 39 38 37 24 25 26 9-395658 9-396150 9-396641 820 818 818 9-986137 9-98610^ 9-986072 9-409521 9-410045 9-410569 873 873 872 10-590479 10-589955 10-589431 36 35 34 27 28 »s 3': 9-397132 9-397621 9-398111 9-398600 !'5 817 815 9-986039 9-986007 9-985974 9-985942 9-411092 9-411615 9-412137 9-412658 872 870 863 10-588968 10-588385 10-587863 10-587342 33 32 31 30 ' Cosine. Siue. Cotiing. Tangent. 1 30 min. to 60 min. 1 76 degrees. 14 degrees. 30 lain, to 60 min. ' Sine. Diff. for 100" Cosine. Diff. for , !Oo" 55 5-5 Si 53 55 55 55 55 55 55 55 5:5 55 57 55 55 55 ■57 55 57 55 57 55 57 55 57 57 57 55 57 Tangent. Diff. for 100" Cptang. t 3° 31 3» 9-398600 9-399088 9'399575 9-985942 9-985909 9-985876 9-412658 9-413179 9-413699 10-587342 10-586821 10-586301 .30 29 28 813 812 812 868 867 867 33 34- 35 9-400062 9-400549 9-401035 9-985843 9-985811 9-985778 9-414219 9-414738 9-415257 10-585781 10-585262 10-584743 27; 26; 25 8 12 810 808 865 865 863 863 86a 860 36 11 9-401520 9-402005 9-402489 9*985745 9-985712 9-985679 9-415775 9-416293 9-416810 10-584225 10-583707 10-583190 24 13 22 80S 807 805 39 40 41 9-402972 9-4° 3455 9-403938 9-985646 9-985613 9-985580 9-417326 9-417842 9-418358 10-582674 10-582158 10-581642 21 20 19 805 805 803 S60 860 858 42 43 44 9-404420 9-404901 9-405382 9-985547 9-985514 9-985480 9-418873 9-419387 9-419901 10-581127 10-580613 10-580099 18 802 802 800 857 857 4.6 47 9-405862 9-4p634i 9-406820 9-985447 9-985414 9'98538i 9-420415 9-420927 9-421440 10-579585 10-579073 10-578560 15 '4-1 13 79S 79X 79S 853 855 853 48 49 5° 9-407299 9-407777 9-408254 9-985347 9'9853i4 9-985280 9-421952 9-422463 9-422974 10-578048 Jo-577557 10-577026 12 11 10 797 795 795 852 852 850 5» S3 9-408731 9-409207 9-409682 9-985247 9-985213 9-985180 9-423484 9-423993 9-424503 10-576516 10-576007 10-575497 7' 793 792 792 848 850 847 54 9-410157 9"4io632 9-41 1 106 792 790 788 9-985146 9-985113 9-985079 9-42 5011 9-425519 9-426027 847 S47 845 10-574989 10-574481 10-573973 6 5 4 57 58 11 9-411579 9-412052 9-412524 .9-412996 9-985045 9-985011 9-984978 9-984944 9*426534 9-427041 9-427547 9'428o52 10-573466 10-572959 10-572453 10-571948 3 2 I 788 787 7S7 845 843 S42 1 Cosine. Sine. Cptang. Tangent. 1 min. to 30 min. 75 degrees. 15 degrees. n . min. to 30 mim | / Sine. DiS for 100' Cosine. Diff. for 100' 57 57 57 57 57 57 57 57 57 58 57 57 58 57 57 58 57 58 57 5! 58 57 58 58 58 58 57 58 58 Tangent, DiK for lOo' Cotang. / I 9-4IZ996 9-413467 9-413938 9-984944 9-984910 9-984876 9-428052 9-428558 9-429062 10-571948 10-571442 10-570938 60 11 785 78, 843 840 840 3 4 S 9-414408 9-414878 9'4iS347 783 78Z 780 9-98484Z 9-984808 9-984774 9-429566 9-430070 9-430573 840 838 837 io'570434 10-569930 10-569427 57 56 55 6 7 g 9-41581S 9-416283 9-416751 9-984740 9-984706 9-98467Z 9-431075 9'43'S77 9-432079 10-568925 10-568423 10-567921 54 53 52 780 780 777 837 835 9 lO 11 9-4172 17 9-417684 9*418150 9-984638 9-984603 9-984569 9-432580 9-433080 9'43358o 10-567420 10-566920 10-566420 5' 50 49 778 777 775 833 833 833 IZ '3 '4 9-418615 9-419079 9-419544 9-984535 9-984500 9-984466 9-434080 9"434579 9-435078 10-565920 10-565421 10-564922 48 47 46 773 775 772 832 832 830 »5 i6 I? 9-420007 9-420470 9-420933 9-98443Z 9-984397 9-984363 9"43S576 9-436073 9-436570 10-564424 10-563927 10-563430 45 44 43 77a 772 770 828 828 828 ig 19 zo 9-421395 9'42igS7 9-422318 770 768 767 9-984328 9-984294 9-984259 9-437067 9-437563 9-438059 827 827 82, 10-562933 10-562437 10-561941 42 4" 40 21 Z2 23 9-422778 9-423238 9-423697 767 765 765 9-984224 9-984190 9-984155 9*438554 9-439048 9'439543 823 825 S22 10-561446 10-560952 10-560457 39 38 37 Z4 25 a6 9-424156 9-424615 9-425073 76s 763 762 9-984120 9-984085 9-984050 9-440036 9-440529 9-441022 8Z2 822 820 10-559964 10-559471 10-558978 36 35 34 27 28 29 30 9-425530 9-425987 9-426443 9-426899 762 760 760 9-984015 9-983981 9-983946 9-983911 9-441514 9-442006 9-442497 9-442988 820 818 8ig 10-558486 10-557994 io"S57503 10-557016 33 32 31 30 / Cosine. Sine. Cotang. Tangent. / 30 min. to 60 min. 74 degrees. 1 J 5 degrees. 30 min. to 60 min. / Sine. Diff. for 100' Cosine, Dlff. for 100' 60 58 58 5! 58 58 60 58 58 60 58 60 f 60 Ji 60 60 60 58 60 60 60 60 60 60 60 60 60 60 60 Tangent. Diff. for 100* Cotang. ' 3C 31 32 9-416899 9"4^7354 9-427809 9-983911 9-983875 9-983840 9-442988 9-443479 9-443968 10-557012 10-556521 10-556032 3° 29 28 758 758 757 818 815 817 33 34 35 9-428263 9-428717 9-429170 9-983805 9-983770 9-983735 9-444458 9-444947 9'44543S 10-555542 '°-555°S3 '°-55456s 27 26 25 757 755 755 !'5 813 813 36 37 38 9-429623 9-430075 9-430527 9-983700 9-983664 9-983629 9-4459*3 9-446411 9-446898 10-554077 IO-S53589 10-553102 »4 *3 22 753 753 752 813 812 810 39 40 41 9-430978 9-431429 9-431879 9-983594 9-983558 9-983523 9-447384 9-447870 9-448356 10-552616 10-552130 10-551644 21 20 '9 752 75° 750 810 810 808 42 43 44 9-432329 9-432778 9-433226 9-983487 9-983452 9-983416 9-448841 9-449326 9-449810 10-551159 10-550674 10-550190 18 17 16 748 74-7 748 808 807 807 47 9-433675 9-434122 9'434-569 9-983381 9-983345 9-983309 9-450294 9-450777 9-451260 10-549706 10-549223 ic 548740 '5 14 13 745 745 745 805 805 805 48 49 50 9-435016 9-435462 9-435908 9-983273 9-983238 9-983202 9-451743 9-452225 9-452706 10-548257 i°-547775 10-547294 12 11 10 743 743 742 803 802 802 SI 53 9-436353 9-436798 9-437242 9-983166 9-983130 9-983094 9-453187 9-453668 9-454148 10-546813 10-546332 10-545852 9 8 7 742 74° 740 S02 800 800 798 798 797 54 55 56 9-437686 9-438129 9-438572 9-983058 9-983022 9-982986 9-454628 9-455107 9-455586 10-545372 10-544893 10-544414 6 5 4 738 738 737 57 58 60 9-439014 9'439456 9-439897 9-440338 9-982950 9-982914 9-982878 9-982842 9-456064 9-456542 9-457019 9-457496 10-543936 10-543458 10-542981 10-542504 3 2 1 737 735 735 797 795 795 / Cosine. Sine, Cctang. Tangent. 1 min. to 80 min. 74 degrees. 16 degrees. min. to 30 min. / Sine. Diff. for zoo' Cosine. Difr. for 100' Tangent. Diff. for 100' Cotang. 1 I 2 9-440338 9-440778 9-441218 9-457496 9'4S7973 9-458449 10-542504 10-542027 10-541551 60 59 58 733 733 733 9-982805 9-982769 62 60 60 62 60 60 62 60 62 62 60 62 62 60 62 62 62 62 62 62 62 62 62 62 62 i^ 62 62 i^ 62 795 793 793 3 4 5 9-441658 9-442096 9-44^535 9-982733 9*982696 9-982660 9-458925 9-459400 9"459S75 10-541075 10-540600 10-540125 1? 55 730 732 730 792 792 790 6 7 g 9-442973 9-443410 9-443847 9-982624 9-982587 9-982551 9-460349 9-460823 9-461297 10-539651 10-539177 10-538703 54 53 52 72« 728 728 790 790 788 9 lO II 9-444284 9-444729 9"445iS5 9-982514 9-982477 9-982441 9-461770 9-462242 9-462715 10-538230 10-537758 10-537285 51 5° 49 727 725 725 787 788 785 12 13 9-445590 9-446025 9-446459 9-982404 9-982367 9-982331 9-463186 9-463658 9-464128 10-536814 10-536342 10-535872 48 725 723 723 787 783 78s '5 i6 17 9-446893 9-447326 9'4477S9 9-982294 9-982257 9-982220 9-464599 9.-465069 9-465539 10-535401 10-534931 10-534461 45 44 43 722 722 720 783 783 782 iS '9 20 9-448191 9-448623 9-449054 9-982183 9-982146 9-982109 9-466008 9-466477 9-466945 10-533992 10-533523 10-533055 42 41 40 720 718 718 782 780 780 21 22 23 24 9-449485 9-449915 9'45°3+S 717 717 717 9-982072 9-982035 9-981998 9-467413 9-467880 9-468347 778 778 778 10-532587 10-532120 10-531653 39 38 37 9'45°775 9-451204 9-451632 715 713 7'3 9-981961 9-981924 9-981886 9-468814 9-469280 9-469746 777 777 775 10-531186 10-530720 10-530254 36 35 34 27 28 29 30 9-452060 9-452488 9-452915 9*453342 713 712 712 9-981849 9-981812 9-981774 9-981737 9-4702 1 1 9-470676 9-471141 9-471605 775 775 773 10-529789 10-529324 10-528859 10-528395 33 32 3' 30 ' Cosine. Sine. Cotang. Tangent. / 30 min. to 60 min. 73 degrees. 16 degrees. 30 min. to 60 min. , Sine. Diff. for 100" Cosine. Diff. for 100" 62 63 62 63 l^ 6a 63 62 63 i^ 63 63 i^ 63 63 63 63 63 ^3 6s 65 65 63 63 65 Tangent. Diff. for 100" Cotang, / 3° 31 32 9-981737 9-981700 9-981662 9-471605 9-472069 9-472532 10-528395 10-527931 10-527468 30 29 28 9-453768 9-454194 710 710 708 773 772 772 33 34 35 9-454619 9-455044 9-455469 9-981625 9-981587 9-981549 9-472995 9"473457 9-473919 10-527005 10-526543 10-526&SI 27 z6 25 708 708 707 770 770 770 36 38 9'4SS893 9-456316 9'4S6739 9-981512 9-981474 9-981436 9-474381 9 -47484a 9-475303 10-525619 10-525158 10-524697 24. *3 22 705 705 705 768 768 767 39 40 41 9-457162 9"457584 9-458006 9-981399 9-981361 9-981323 9'4757% 9-476223 9-476683 10-524237 10-523777 10-523317 21 20 19 703 703 702 767 767 765 4z 43 44 9-458427 9-458848 9-459268 9-981285 9-981247 9-981209 9-477142 9-477601 9-478059 10-522858 10-522399 10-521941 18 17 16 702 700 700 76s 763 763 45 46 47 9-459688 9-460108 9-460527 9-981171 9-981133 9-981095 9-478517 9'478975 9-479432 10-521483 10-521025 10-520568 J5 14 13 700 698 698 763 762 762 48 49 50 9*460946 9-461364 9-461782 9-981057 9-981019 9-980981 9-479889 9-480345 9-480801 10-520111 10-519655 10-519199 12 II 10 697 697 695 760 760 760 SI 5^ 53 9-462199 9 -4626 1 6 9-463032 695 693 693 9-980942 9-980904 9-980866 9-481257 9-481712 9-482167 758 757 10-518743 10-518288 10-517833 i 1 54 55 56 9-463448 9-463864 9-464279 693 692 692 9-980827 9-980789 9-980750 9-482621 9-483075 9-483529 757 757 755 10-517379 10-516925 10-516471 G 5 4 57 58 9-464694 9-465108 9-465522 9"46593S 690 690 688 9-980712 9-980673 9-980635 9-980596 9-4S3982 9-484435 9-484887 9"48S339 755 753 753 10-516018 10-515565 10-515113 10*514661 3 2 I / Cosine. Sine. Cotang. Tangent. 1 min. to 30 min. ' 73 degrees. 17 degrees. min. to 30 min. ' Sine. Diff. for 100' Cosine. Diff for Tangent. DilT. for 100' Cotang, 1 I 9-465935 9-466348 9-466761 9-980596 9-980558 9-980519 100' P 65 i^ i^ 65 i^ i^ 65 67 6s 65 67 t^ 67 t' 65 67 ^5 67 67 67 6S 9'485339 9-485791 9-486:^42 10-514661 10-514209 10-513758 60 59 58 688 688 687 753 752 752 3 4 5 ^•467173 9-467585 9-467996 9-980480 9-980444 9-980403 9-486693 9-487143 9"487S93 10-513307 10-512857 10-512407 57 56 55 687 685 685 750 75° 750 6 7 8 9 lO II 9-468407 9-468S17 9-469227 9-9S0364 9-980325 9-980286 9-488043 9-488492 9-488941 10-511957 10-511508 10-511059 54 53 5» 683 683 683 748 748 748 9-469637 9-470046 9"470455 9-980247 9-980208 9-980169 9-489390 9-489838 9-490286 10-510610 10-510162 10-509714 5' 50 49 682 682 680 747 747 7+5 12 '3 14 9-470863 9-471271 9-471679 9-980130 9-980091 9-980052 9'490733 9-491180 9-491627 10-509267 10-508820 10-508373 48 47 46 680 680 678 745 745 743 ij i6 17 9-472086 9-472492 9-472898 9-980012 9-979973 9'979934 9-492073 9-492519 9-492965 10-507927 10*507481 10-507035 45 44 43 677 677 677 743 743 742 i8 20 9-473304 9-473710 9-474115 9-979895 9-979855 9-979816 9-493410 9-493854 9-494299 10-506590 10-506146 10-505701 42 41 40 677 675 673 740 742 740 21 22 23 9'47+5i9 9-474923 9-475327 9-979776 9-979737 9-979697 9*494743 9-495186 9-495630 10-505257 10-504814 10-504370 11 37 673 673 672 738 740 738 24 26 9-475730 9-476133 9-476536 672 672 670 9-979658 9-979618 9'979579 9-496073 9-496515 9-496957 737 737 717 10-503927 10-503485 10-503043 36 35 34 27 28 29 30 9-476938 9-477340 9-477741 9-478142 670 668 668 9'979539 9'979499 9'979459 9-979420 9*497399 9-497841 9-498282 9-498722 737 735 733 10-502601 10-502159 10-501718 10-501278 33 32 3' 30 / Cosine. Sine. Cotang. Tangent. ' 30 min. to 60 rain. 72 degrees, 1 .17 degrees. 30 min. to 60 min. t Sine. Dlff. for loo' Cosine. Diff. for 100' 67 67 67 i^ 67 67 67 68 67 67 67 68 67 68 67 67 68 68 67 68 68 67 68 68 68 68 68 68 68 Tangent. DUr. for 100" Cptang-. 1 30 31 3a 9-478142 9-478542 9-478942 9-979420 9-979380 9-979340 10-501278 10-500837 10-500397 30 29 28 667 667 667 9 4987** 9-499163 9-499603 735 733 73* 33 34 35 9-479342 9'47974i 9-480140 9-979300 9-979260 9-979220 9-500042 9-500481 9-500920 9-501359 9-501797 9-502235 10-499958 10-499519 10-499080 27 26 »5 665 665 665 73* 73* 732 36 38 9-480539 9-480937 9-481334 663 662 662 9-979180 9-979140 9-979100 730 730 728 10-498641 10-498203 10-497765 24 23 22 39 40 +1 9-481731 9-482128 9-4X2525 9-979059 9-979019 9-978979 9-502672 9-503109 9'5°3546 10-497328 10-496891 10-496454 21 20 19 662 662 660 728 728 727 42 43 44 9-482921 9-483316 9-483712 9-978939 9-978898 9-978858 9-503982 9-504418 9-504854 10-496018 10-495582 10-495146 18 17 16 "5 14 13 IZ II 10 7 6 5 4 658 660 658 727 727 725 '^1 46 47 9-484107 9-484501 9-484895 657 657 657 ^" 655 653 652 653 9-97S817 9-978777 9-978737 9-505289 9"5057»4 9-506159 725 725 723 10-494711 10-494276 10-493841 48 49 50 9-485289 9-485682 9-486075 9-978696 9-978655 9-978615 9-506593 9-507027 9-507460 723 722 722 10-493407 10-492973 10-492540 5^ S3 9-486467 9-486860 9-487251 9*978574 9-978533 9-978493 9-507893 9-508326 9'5o8759 722 722 720 10-492107 10-491674 10-491241 54 55 56 9-487643 9-488034 9-488424 652 650 650 9-978452 9-978411 9-978370 9-509191 9-509622 9-510054 718 720 718 10-490809 10-490378 10-489946 57 58 60 9-488814 9-489204 9-489593 9-489982 650 648 648 9-978329 9-978288 9-978247 g-978206 9-510485 9-510916 9-511346 9-511776 718 717 717 10-489515 10-489084 10-488654 10-488224 3 2 I / Cosine. Sine. Cotang. Tangent. / min. to 30 min. 72 degrees. 18 degrees. min. to 30 rain. ' Sine. Diff. for 100' Cosine. Diff. for Tangent. Diff. for 100' Cotang. / I 2 9*489982 9-490371 9-490759 9-978206 9-978165 9-978124 100" 68 68 68 ~68" 68 70 68 68 70 68 70 68 70 68 70 70 68 70 70 70 70 70 70 70 70 70 70 70 70 70 9-511776 9-512206 9-512635 10-488224 10-487794 10-487365 60 59 58 648 647 647 717 7'5 715 3 4 5 9-491147 9"49'S3S 9-491922 9-978083 9-978042 9-978001 9-513064 9"5 13493 9-513921 10-486936 io'486507 10-486079 55 647 645 643 71S 713 713 6 7 8 9-492308 9-492695 9-493081 9"9779S9 9-977918 9-977S77 9'5i4349 9-514777 9-515204 10-485651 10-485223 10-484796 54 53 52 645 643 642 713 712 712 9 lO II 9-493466 9-493S51 9-494236 9-977835 9"977794 9-977752 9-515631 9-516057 9-516484 10-484369 10-483943 io'4g35i6 51 50 49 642 642 642 710 712 710 12 H 9-494621 9-495605 9-495388 9-977711 9-977669 9-977628 9-516910 9'5i7335 9-517761 10-483090 10-482665 10-482239 48 640 638 640 708 710 708 15 it 17 9-495772 9-496154 9-496537 9-977586 9'977S44 9-977503 9-5181S6 9-518610 9-519034 10-481814 10-481390 10-480966 45 44 43 637 638 637 707 707 707 ig 19 20 9-496919 9-497301 9-497682 9-977461 9-977419 9-977377 9-519458 9-519882 9-520305 10-480542 10-480118 10-479695 42 4> 40 637 635 637 707 705 705 21 22 23 9-498064 9-498444 9-498825 9"977335 9-977293 9-977251 9-520728 9-521151 .9'52i573 10-479272 10-478849 10-478427 39 38 37 633 635 632 705 703 703 24 9-499204 9-499584 9-499963 9-977209 9-977167 9-977125 9-521995 9-522417 9-522838 10-478005 10-477583 10-477162 36 35 34 633 632 632 703 702 702 27 28 29 30 9-500342 9-500721 9-501099 9-501476 9-977083 9-977041 9-976999 9-976957 9-523259 9-523680 9-524100 9-524520 10-476741 10-476320 10-475900 10-475480 33 32 31 30 632 630 628 702 700 700 # Cosine. Sine. Cotang. Tungent. / 80 min. to 60 min. 71 degrees. 18 degrees. SO niin. to 60 min. ' Sine. Diff. for 100' Cosine. Diff. for Tangent. Difr. for lOo' 700 698 698 Cotang. 1 30 32 9-501476 9-501854 9-502231 9-976957 9-976914 9-976872 100" 72 70 70 72 70 72 70 72 72 70 72 7a 70 72 72 72 72 72 72 72 72 72 72 73 72 72 73 72 72 73 9-524520 9-524940 9'5*S359 10-475480 10-475060 10-474641 30 29 28 630 628 627 33 34 35 9-502607 9-502984 9-503360 9-976830 9-976787 9-976745 9-525778 9-526197 9-526615 10-474222 10-473803 10-473385 27 26 628 627 625 698 697 697 36 38 9'503735 9-5041 10 9-504485 9-976702 9-976660 9-976617 9-527033 9-527451 9-527868 10-472967 10-472549 10-472132 ^4 23 22 -625 625 625 697 695 695 39 40 41 9-504860 9-505234 9-505608 623 623 622 9-976574 9-976532 9-976489 9-528285 9-528702 9-529119 695 695 693 10-471715 10-471298 10-470881 21 20 19 4» 43 44 9-505981 9-506354 9-506727 9-976446 9-976404 9-976361 9'5»9535 9'5a995i 9-530366 10-470465 10-470049 10-469634 18 17 16 622 622 620 693 692 692 45 46 47 9-507099 9-507471 9-507843 9-976318 9-976275 9-976232 9-530781 9-531196 9-531611 10-469219 10-468804 10-468389 15 14 13 620 620 618 692 692 690 48 49 5° 9-508214 9-508585 9-508956 9-976189 9-976146 9-976103 9-532025 9-532439 9-532853 10-467975 10.-467561 10-467147 12 11 10 618 618 617 690 690 688 51 52 S3 9-509326 9-509696 9-510065 9-976060 9-976017 9'975974 9-533266 9-533679 9-534092 10-466734 10-466321 10-465908 7 6,7 615 615 688 688 687 54 55 56 9-510434 9-510803 9-511172 613 9-975930 9-975887 9-975844 9'534504 9-534916 9-535328 687 687 685 10-465496 10-465084 10-464672 6 5 4 57 58 9-511540 9-511907 9-512275 9-512642 612 6,3 612 9-975800 9'975757 9'9757i4 9-975670 9*535739 9-536150 9-536561 9-536972 685 685 685 10-464261 10-463850 10-463439 10-463028 3 2 1 / Cosine. Sine. Cotang. Tangent. 1 min. to 30 min. 71 degrees. 19 degrees. min. 10 30 min. ' Sine. for 100' Cosine. Diir. for 100" 72 73 73 72 73 73 72 73 73 Tangent. Diff. for 100" 683 683 683 Cotang, V 1 2 9-512642 9-513009 9-513375 9-975670 9-975627 9'975583 9-536972 9-537382 9-53779* 10-463028 10-462618 10-462208 60 59 58 612 610 610 3 4 5 9-513741 9-514107 9-514472 9-975539 9-975496 9-97545» 9-538202 9-538611 9-539020. 10-461798 10-461389 10-460980 57 56 55 54 53 52 5' 5c 49 610 608 608 682 682 68z 6 7 8 9"Si4837 9-515202 9-515566 9-975408 9-975365 9-975321 9-539429 9-539837 9-540245 10-460571 10-460163 10-459755 608 607 607 680 680 680 9 lO II 9-515930 9-516294 9-516657 9-975*77 9-975233 9-975189 9-540653 9-541061 9-541468 10-459347 10-458939 10-458532 607 605 605 603 605 603 602 602 602 602 600 600 73 73 73 73 73 73 73 73 75 73 73- 73 75 73 75 73 75 73 75 75 73 680 678 678 12 13 M 9-517020 9-517382 9'S'7745 9-975145 9-975101 9-975057 9-541875 9-542281 9-542688 10-458125 10-457719 10-457312 48 I 45 44 43 677 678 677 11 J7 9-518107 9-518468 9-518829 9-975013 9-974969 9-974925 9-543094 9-543499 9-543905 10-456906 10-456501 10-456095 675 677 675 i8 '9 20 9-519190 9-519551 9-519911 9-974880 9-974836 9-974792 9-544310 9-544715 9-545119 675 673 675 10-455690 10-455285 10-454881 42 41 40 21 22 23 9-520271 9-520631 9-520990 600 598 598 9-974748 9-974703 9-974659 9-5455*4 9-545928 9-54633' 673 672 673 10-454476 10-454072 10-453669 39 38 37 24 26 9-521349 9-521707 9-522066 597 598 597 595 595 595 9-974614 9-974570 9-9745*5 9-546735 9-547138 9-547540 672 670 672 10-453265 10-452862 10-452460 36 35 34 27 28 29 30 9-522424 9-522781 9-523138 9-523495 9-9744S1 9-974436 9-974391 9-974347 9-547943 9-548345 9-548747 9-549149 io'452057 10-451655 10-451253 10-450851 33 32 31 30 670 670 670 ' Cosine. Sine. Cotang. Tangent. i 30 min. to 60 min. 70 degrees. 19 degrees. 30 min. to 00 rnin. * Sine. Diff. for 100' Cosine. Diff. for 100" 75 75 75 75 75 75 75 75 75 75 75 75 77 75 75 77 75 75 77 75 77 77 75 77 77 77 75 77 77 77 Tangent. Diff. for 100' Cotang. / 3° 31 32 9'5*3495 9-523852 9'5242o8 9*974347 9-974302 9-974257 9-974212 9-974167 9-974122 9-^49149 9' 549550 9'54995i 10-450851 10-450450 10-450049 30 39 28 595 593 593 668 668 668 33 34 35 9-524564 9-524920 9-525275 593 592 59» 9-550352 9'55075« 9'5S"53 667 668 665 667 665 665 10-449648 10-449248 10-448847 27 26 25 24 23 22 36 9-525630 9-525984 9-526339 9-974077 9-974032 9-973987 9'55i552 9-551952 9-552351 10-448448 10-448048 10-447649 590 592 59° 588 588 39 4.0 41 9-526693 9-527046 9-527400 9-973942 9-973897 9-973852 9-552750 9"553i49 9-553548 665 665 663 10-447250 10-446851 io'446452 21 20 19 42 43 44 9-527753 9-528105 9-528458 587 588 587 9-973807 9-973761 9-973716 9-553946 9"554344 9-554741 663 662 663 662 662 660 660 660 660 10-446054 10-445656 10-445259 iS 17 16 4S 46 47 9-528810 9-529161 9'5295i3 9-973671 9-973625 9-973580 9-555139 9-555536 9-555933 10-444861 10-444464 10-444067 15 14 13 585 587 585 48 49 50 9-529864 9-530215 9-530565 9"973535 9'973489 9"973444 9-556329 9-556725 9-557121 10-443671 10-443275 10-442879 12 11 10 585 583 51 5* 53 9'5309i5 9-531265 9-531614 583 582 582 582 582 580 9-973398 9'97335^ 9-973307 9-557517 9-557913 9-558308 660 658 658 10-442483 10-442087 10-441692 9 3 7 54 11 9-531963 9-532312 9-532661 9-973261 9-973215 9-973169 9-558703 9-559097 9-559491 657 657 657 10-441297 10-440903 10-440509 6 5 4 3 2 I 11 11 9-533009 9'533357 9'533704 9-534052 580 580 9-973124 9-973078 9-973032 9-972986 9-559885 9-560279 9-560673 9-561066 657 657 .655 10-440115 10-439721 10-439327 10-438934 J Cosine. Sine, Cotang. Tangent. 1 .0 min. to 30 min. 70 degrees. 20 degrees. rain, to 30 min. *4 26 Sine. 9-534051 9"534399 9'S34745 9-535092 9"S35438 9"53S783 9-536129 9'536474 9-536818 9-537163 9'537507 9"S378Si 9-538194 9-538538 9-538880 9'539"3 9'539565 9-539907 9-540249 9-540590 9-540931 9-541272 9-541613 9'54i953 9-542293 9-542632 9-542971 9-543310 9-543649 9-543987 9'S44325 Cosine. DIK fat 100' 578 577 578 577 575 577 575 573 575 568 568 568 568 567 567 565 565 565 56s 563 563 573 573 57* 573 570 572 570 570 570 Cosine. 9-972986 9-972940 9-972894 9-972848 9-972802 9-972755 9-972709 9-972663 9-972617 9-972570 9-972524 9-972478 9-972431 9-972385 9-972338 9-972291 9-972245 9-972198 9-972151 9-972105 9-972058 9-972011 9-971964 9-971917 9-971870 9-971823 9-971776 9-971729 9-971682 9-971635 9-971588 Sine. Diffi for Tangent. 9-561066 9-561459 9-561851 9-562244 9-562636 9-563028 9-563419 9-563811 9-564202 9'564593 9-564983 9'565373 9-565763 9-566153 9-566542 9-566932 9-567320 9-567709 9-568098 9-568486 9-568873 9-569261 9-569648 9-570035 9-570422 9-570809 9-571195 9-571581 9-571967 9-572352 9-572738 Cotang'. Dlff. for 100° 655 653 65s 653 653 652 653 652 652 650 650 650 650 648 650 647 648 648 647 645 647 645 645 645 645 643 643 643 642 64J Cotang. 10-438934 10-438541 10-438149 10-437756 10-437364 10-436972 10-436581 10-436189 10-435798 10-435407 10-435017 10-434627 10-434237 10-433847' 10-433458 10-433068 10-432680 10-432291 10-431902 10-431514 10-431127 10-430739 10-430352 10-429965 10-429578 10*429191 10-428805 10-428419 10-428033 10-427648 10-427262 Tangent. 30 min. to 60 min. 69 degrees. 20 degrees. 30 min. to 60 rain. •• Sine. DifT. for 100* Cosine. Diff. for 100" 80 78 78 80 78 So 78 80 78 80 78 80 80 80 80 78 80 80 80 80 82 Tangent. Diff. for 100" Cotang. / 3° 3' 3a 9*544325 9-544663 9-545000 9-971588 9-971540 9-971493 9-572738 9-573123 9*573507 10-427262 10-426877 10-426493 30 z8 563 562 563 642 640 642 33 34 35 9"S45338 9"545674 9-546011 9-97,446 9-971398 9-971351 9-573892 9-574276 9-574660 10-426108 10-425724 to-425340 17 26 25 560 562 560 640 640 640 36 37 38 9"546347 9-546683 9-547019 9-971303 9-971256 9-971208 9*575044 9*575427 9-575810 10-424956 10-424573 10-424190 24 23 22 560 560 558 638 638 638 39 40 41 9*547354 9-547689 9-548024 9-971161 9*971113 9-971066 9-576193 9-576576 9-576959 10-423807 10-423424 10-423041 21 20 19 558 558 558 638 638 637 42 43 44 9"548359 9-548693 9-549027 9-971018 9*970970 9-970922 9*577341 9*577723 9-578104 10-422659 10-422277 10-421896 18 17 16 557 557 555 637 63s 637 47 9-549360 9-549693 9-550026 9-970874 9*970827 9-970779 9-578486 9*578867 9*579248 10-421514 10-421133 10-420752 15 14 13 555 555 555 635 635 635 48 49 50 9"550359 9-550692 9-551024 9-970731 9-970683 9-970635 9-579629 9-580009 9*580389 10-420371 10-419991 10-419611 12 II 10 555 S53 553 633 633 633 SI sa S3 9-970586; 9-970538 9-970490 9-580769 9-581149 9-581528 10-41923 1 10-418851 10-418472 1 7 9"55i356 9-551687 9-552018 5S^ 55a 552 80 80 80 80 82 80 80 82 80 633 63a 632 54 1^ 9'55i349 9-552680 9-553010 9-970442 9*970394 9*970345 9-581907 9-582286 9-582665 10-418093 10-41 77 14 10-417335 6 S 4 55a 550 552 632 632 632 9"55334i 9-553670 9-554000 9*554329 9-970297 9-970249 9-970200 9-970152 9-583044 9-583422 9-583800 9-584177 10-416956 10-416578 10-416200 10-415823 3 2 t 548 548 630 630 628 / Cosine. Sine. Cotang. Tangent. / min. to 30 min. 69 degrees. ,21 degrees. mill, to 30 rain. ' .Sioe. Diff. for 100" Cosine. Diff. for Tangent. Diff. for lOO' Cotang. / I 2 9'5543a9 9-554658 9' 5 54987 9-970152 9-970103 9-970055 ico' 82 go 82 82 80 82 82 82 80 82 82 8z 82 82 82 83 82 82 82 83 g2 g2 83 g2 83 82 83 83 82 83 9-584177 9-584555 9-58493* 10-415823 10-415445 10-415068 60 58 548 548 547 630 628 628 3 4 5 9"S553i5 9"555043 9-555971 9-970006 9-969957 9-969909 9-585309 9-585686 9-586062 10-414691 10-414314 10-413938 57 56 55 547 547 547 628 627 628 6 7 g 9-556299 9-556626 9'556953 9-969860 9-969811 9-969762 9-586439 9-586815 9-587190 10*413561 10-413185 10-412810 54 S3 5* 545 S45 545 627 625 627 9 lO II 3-557280 9-557606 9-557932 9-969714 9-969665 9-969616 9-587566 9-587941 9-5g83i6 10-412434 10-412059 10-411684 5> 50 49 543 543 543 625 62s 625 12 '4 9-558258 9-558583 9-558909 9-969567 9-969518 9969469 9-588691 9-589066 9-589440 10-411309 10-410934 10-410560 48 46 542 543 542 625 623 623 15 16 17 9-559234. 9-559558 9-559883 540 542 540 9-969420 9-969370 9-969321 9-589814 9-590188 9-590562 623 623 622 622 622 622 10-410186 10-409812 10-409438 45 44 43 18 19 20 9-560207 9-560531 9-560855 9-969272 9-969223 9-969173 9-590935 9-591308 9-591681 10-409065 10-408692 10-408319 42 41 40 540 540 538 21 22 »3 9-561178 g-561501 9-561824 538 538 537 9-969124 9-969075 9-969025 9-592054 9-592426 9-592799 620 622 620 10-407946 10-407574 10-407201 39 38 37 24 26 9-562146 9-562468 9-562790 537 537 537 9-968976 9-968926 9-968877 9-593171 9-59354* 9'5939i4 618 620 618 io'4o6829 10-406458 10-406086 36 35 34 27 28 29 30 9-563112 9-563433 9-563755 9-564075 535 537 533 9-968827 9-968777 9-968728 9-968678 9-594285 9-594656 9-595027 9-595398 618 618 618 10-405715 10-405344 10-404973 10-404602 33 32 31 30 ■' Cosine. Sine, Cotang, Tangent. / 30 min. to 60 min. 68 degrees. 21 degrees. 30 min. to 60 luin. 1 Sine. Diff. for 100" Cosine. Diff. for 100" 83 83 83 82 83 83 85 83 83 !3 83 85 83 83 85 83 8s 83 8s 83 85 85 85 83 85 8S 85 85 85 »> Tangent. Diff. for 100" Cotang. ', 30 31 32 9-564075 9-564396 9-564716 9-968678 9-968628 9-968578 9-595398 9-595768 9-596138 10-404602 10-404232 10-403862 30 29 28 535 533 533 6,7 617 617 33 34 35 9-565036 9-565356 9-565676 9-968528 9-968479 9-968429 9-596508 9-596878 9-597247 xo-403492 10-403 122 10-402753 27 26 «5 533 533 532 617 615 36 37 38 9-565995 9-566314 9-566632 9-968379 9-968329 9-968278 9-597616 9-597985 9-598354 10-402384 X0-4020X5 10-40x646 24 23 22 532 530 532 615 613 39 40 41 9-566951 9-567269 9"567587 9-968228 9-968178 9-968128 9-598722 9-599091 9-599459 X0-401278 10-400909 X0-400541 2X 20 19 530 53° 528 615 6x3 613 4* 43 44 9-567904 9-568222 9-568539 9-968078 9-968027 9-967977 9-599827 9-600194 9-600562 X0-400X73 xo-399806 10-399438 x8 17 x6 530 528 528 6l2 6x3 6X2 45 46 47 9-568856 9-569172 9-569488 9-967927 9-967876 9-967826 9-600929 9-60J296 9-601663 IO-39907I 10-398704 10-398337 15 14 13 527 527 527 6X2 612 6x0 48 49 5° 9-569804 9-570120 9"57°435 527 5^5 527 9-967775 9-967725 9-967674 9-602029 9-602395 9-602761 610 6x0 6x0 10-397971 10-397605 10-397239 X2 II 10 51 5^ S3 9-570751 9-571066 9-571380 9-967624 9-967573 9-967522 9-603127 9-603493 9-603858 10-396873 xo-396507 10-396142 9 8 7 5*5 523 - 5»5 6x0 608 608 54 55 56 9-571695 9-572009 9-572323 523 S»3 522 9-967471 9-967421 9-967370 9-604223 9-604588 9604953 608 608 607 xo-395777 10-395412 10-395047 6 5 4 57 58 59 60 9-572636 9-572950 9-573263 9-573575 5»3 522 520 9-967319 9-967268 9-967217 9-967166 9-605317 9-605682 9-606046 9-606410 608 607 607 10-394683 10-394318 10-393954 10-393590 3 2 X ' Cosine. Sine. Cotang. Tangent. / min. to 30 min. 68 degrees. 22 degrees. min. to 30 min. ' Sine. Diff. for 100" Cosine. Dlff. for 100' 85 8S 85 87 85 85 85 87 85 87 85 87 85 87 87 87 87 87 87 85 87 87 87 88 87 87 87 87 88 Tangent. Diir. tor 100' Cotang. ■ o I 2 9"S73575 9-573888 9-574200 9-967166 9-967115 9-967064 9-606410 9-606773 9-607137 10-393590; 6c 10-393227159 10-392863! 58 522 520 520 605 607 605 9-967013 9-966961 9966910 9-607500 9-607863 9-608225 10-392500 57 10-392137 56 10-391775 55 3 4 5 9-574.512 9-574824 9-575136 520 520 518 605 603 60c 6 7 g 9' 575447 9'S75758 9-576069 9-966859 9-966808 9-966756 9-608588 9-608950 96093 12 5,8 518 517 603 603 603 10-391412 54 10-391050 53 10-390688 52 9 10 II 9-576379 9-576689 9-576999 9-966705 9-966653 9-966602 9-609674 9-610036 9-610397 517 517 517 603 602 603 10-390326 10-389964 10-389603 5> 5° 49 IZ 9-577309 9-577618 9-577927 9-966550 9-966499 9-966447 9-610759 9-611120 9-611480 10-389241 10-388880 10-388520 48 S15 515 515 602 600 602 15 16 17 9-578236 9"578545 9-578853 9-966395 9-966344 9-966292 9-611841 9-612201 9-612561 10-388159 10-387799 10-387439 45 44 43 515 513 515 600 600 600 18 20 9-579162 9-579470 9'579777 9*966240 9-966188 9-966136 9-612921 9-613281 9-613641 10-387079 10-386719 10-3S6359 42 41 4° 513 512 513 600 600 598 21 22 23 9-580085 9-580392 9-580699 5" 512 51° 9-966085 9-966033 9-965981 9-614000 9-614359 9-614718 598 598 598 10-386000 10-385641 10-385282 39 38 37 »4 26 9-581005 9-581312 9-581618 512 510 510 9-965929 9-965876 9-965824 9-615077 9-615435 9-615793 597 597 597 10-384923 10-384565 10-384207 36 35 34 27 28 29 3° 9-581924 9-582229 9-582535 9-582840 508 510 508 9-965772 9-965720 9-965668 9-965615 9-616151 9-616509 9-616867 9-617224 597 597 595 10-383849 10-383491 10-383133 10-382776 33 32 31 30 ' Cosine. Sine. ' Cotang. 'I'ange t. ' 30 min. to 60 min. 67 degrees. 22 degrees. j 30 min. to 60 min. •' Sine, DIff. for 100' Cosine. DIff. for 100" 87 87 88 87 88 87 88 88 87 88 88 88 88 87 88 88 88 90 88 88 88 88 go 88 88 90 88 l8 90 Tangent. Diff. for 100' Cotang. 30 31 31 9-582840 9-583145 9-583449 9-965615 9-965563 9-965511 508 507 508 9-617582 9-617939 597 595 593 10-382418 10-382061 J" 28 9-965458 9965406 9-965353 9-618295 9-618652 9-619008 10-3S1705 10-381348 10-380992 27 26 25 33 9"5»3754 34; 9-584058 35i 9'58436i 507 S°5 507 595 593 593 36 11 9-584665 9-584968 9-58527^ 9-965301 9-965248 9-965195 9-619364 9-619720 9-620076 10-380636 10-380280 10-379924 24 23 22 5° 5 507 503 593 593 593 39 40 41 9-585574 9-585877 9-586179 9-965143 9-965090 9-965037 9-620432 9-620787 9-621142 10-379568 10-379213 10-378858 21 20 19 505 503 5°5 592 592 592 9-964984 9-964931 9-964879 9-621497 9-621852 9-622207 10-378503 10-378148 10-377793 18 17 16 4zi 9-586482 43; 9-586783 44i 9'587o85 502 503 502 592 592 59° i -■■^■■■- 9-964826 9-964773 9-964720 9-622561 9-622915 9-623269 10-377439 10-377085 10-376731 "5 14 '3 45; 9-587386 46; 9-587688 47| 9-587989 503 502 500 59° 590 590 48 49 50 9-588289 9-588590 9-588890 9-964666 9-964613 9-964560 9623623 9-623976 9-624330 10-376377 10-376024 10-375670 12 11 10 502 500 500 588 59° 588 51 5^ S3 9-589190 9-589489 9-589789 9-964507 9964454 9-964400 9-624683 9-625036 9-625388 10-375317 10-374964 io'3746i2 I 7 498 500 498 588 587 588 54 55 56 9-590088 9-590387 9-590686 9-964347 9-964294 9-964240 9-625741 9-626093 9-626445 10-374259 10-373907 10-373555 6 5 4 498 498 497 587 587 9-964187 9-964133 9-964080 9-964026 9-626797 9-627149 9-627501 9-627852 10-373203 10-372851 10-372499 10-372148 3 2 1 11 59 60 9-590984 9-59i28a 9-591580 9-591878 497 497 497 587 587 585 Cosine. Sine. Cotang. Tangent. / min. to 30 rain. 67 degrees. 23 degrees. min. to 30 min. ' Sine. DIfr. for 100' Cosine. Diff. for Tangent. DIfr. for 100' Cotang. < o I z 9-591878 9-592176 9-592+73 9-964026 9-963972 9-963919 100' 90 88 90 90 l8 90 90 90 90 90 92 90 90 90 90 92 90 92 90 92 90 92 90 92 92 92 90 92 92 9-627852 9-628203 9-628554 10-372148 10-371797 10-371446 6q 11 497 495 495 585 3 + 5 9-592770 9-593067 9'593363 9-963865 9-963811 9-963757 9-628905 9-629255 9-629606 10-371095 10-370745 10-370394 57 56 55 495 493 493 585 583 6 7 8 9"593659 9"5939S5 9-594251 493 493 493 9-963704 9-963650 9-963596 9-629956 9-630306 9-630656 583 582 10-370044 10-369694 10-369344 54 53 5» 9 10 II 9" 59454-7 9-594842 9'595I37 9-963542 9-963488 9-963434 9-631005 9'63i355 9-631704 10-368995 10-368645 10-368296 5« 50 49 492 492 492 583 582 582 12 '3 9'595+32 9'595727 9-596021 492 490 490 9-963379 9-963325 9-963271 9-632053 9-632402 9-632750 582 jSo 582 10-367947 10-367598 10-367250 48 47 46 45 44 43 15 16 17 9-596315 9-596609 9-596903 490 490 488 9-963217 9-963163 9-963108 9-633099 9-633447 9-633795 580 580 580 10-366901 10-366553 10-366205 18 zc 9-597196 9-597490 9-597783 490 488 487 9-963054 9-962999 9-962945 9-634143 9-634490 9-634838 578 580 578 10-365857 10-365510 10-365162 42 4' 40 21 22 .23 9-598075 9-598368 9-598660 488 487 487 9-962890 9-962836 9-962781 9-635185 9-635532 9-635879 5^! 578 578 10-364815 10-364468 10-364121 39 38 37 24 2< 2£ 9-598952 9-599244 9-599536 487 487 485 9-962727 9-962672 9-962617 9-636226 9-636572 9-636919 577 578 577 10-363774 10-363428 10-3630S1 36 35 34 27 2g 29 3° 9-599827 9-6001 18 9-600409 9-600700 485 485 485 9-962562 9-962508 9-962453 9-962398 9-637265 9-637611 9-637956 9-638302 577 575 577 10-362735 10-362389 10-362044 10-361698 33 32 31 30 ' Cosine. Sine. Cotang. Tangent. 1 30 min. to 60 rain. 66 degrees. 23 degrees. 30 inin. to 60 min. Sine. Diff. for 100" Cosine. Dlff for 100' 92 92 92 92 92 93 92 92 92 93 92 93 92 93 92 93 92 93 93 93 92 93 93 93 93 93 93 93 9S 93 Tangent. Diir. for 100" Cotang. ' 30 3' 32 9-600700 9*600990 9"6oi28o 9-962398 9-962343 9-962288 9-638302 9-638647 9-638992 10-361698 10-361353 10-361008 30 29 28 483 483 483 575 575 575 33 34 35 9'6oi57o 9*6oiS6o 9'6o2i5o <)-962233 9-962178 9-962123 9-639337 9-639682 9-640027 10-360663 10-360318 io'359973 27 26 *5 483 483 482 575 575 573 36 37 38 9-602439 9-602728 9-603017 9-962067 9-962012 9-961957 9-640371 9-640716 9-641060 10-359629 10-359284 10-358940 24 23 22 482 482 480 575 573 573 57* 573 572 39 40 41 9-603305 9-603594 9-6038XZ 9-961902 9-961846 9-961791 9-641404 9-641747 9-642091 10-358596 10-358253 10-357909 21 20 19 482 480 480 42 43 44 9-604170 9-604457 9-604745 9-961735 9-961680 9-961624 9-641434 9-642777 9-643120 10-357566 10-357223 10-356880 ig 16 478 480 478 57* 57* 572 46 47 9-605032 9-605319 9-605606 9-961569 9-961513 9-961458 9-643463 9-643806 9-644148 10-356537 10-356194 10-355852 15 14 13 478 47S 477 572 570 570 48 49 50 9-605892 9-606179 9-606465 9-961402 9-961346 9-961290 9-644490 9-644832 9-645174 10-355510 10-355168 10-354826 12 II 10 478 477 477 570 570 570 5' 5^ S3 9-606751 9-607036 9-607322 9-961235 9-961179 9-961123 9-645516 9-645857 9-646199 10-354484 10-354143 10-353801 9 8 7 +75 477 475 568 570 568 54 55 56 9-607607 9-607892 9-608177 9-961067 9'96ioii 9-960955 9*646540 9-646881 9-647222 10-353460 10-353119 10-352778 6 5 4 475 475 473 568 568 567 57 58 59 60 9-608461 9-608745 9-6090Z9 9-609313 9-960899 9-960843 9-960786 9-960730 9-647562 9-647903 9-648243 9-648583 10-352438 10-352097 io"35i757 10-351417 3 2 I 473 473 473 568 567 567 / Cosine. Sine. Cotang. Tangent. 1 min. to 30 min. 66 degrees. 24 degrees. min. to 30 min. ' Sine. Diff. for 100' Cosiue. Diff. for 100" 93 93 95 93 95 93 95 93 95 95 93 95 95 95 93 95 95 95 95 97 95 95 95 95 97 95 97 95 97 95 Tangent. DiS for 100' Cotang. / o I 2 9-609313 9-609597 9-609880 9-960730 9-960674 9-960618 9-6485S3 9-648923 9-649263 10-351417 10-351077 10-350737 60 59 58 473 472 473 567 567 565 3 4 5 9-610164 9-610447 9-610729 9-960561 9-960505 9-960448 9*649602 9-649942 9-650281 10-350398 10-350058 10-349719 5S 472 470 472 567 565 6 7 8 9-611012 9-611294 9-611576 9-960392 9-960335 9-960279 9-650620 9-650959 9-651297 10-349380 10-349041 10-348703 54 53 5* 470 470 470 563 565 9 lO II 9-611858 9-612140 9-612421 9-960222 9-960165 9-960109 9-651636 9-651974 9-652312 10-348364 10-348026 10-347688 51 50 49 470 468 468 563 563 563 12 14 9-612702 9-612983 9-613264 9-960052 9'9S9995 9-959938 9-652650 9-652988 9-653326 10-347350 10-347012 10-346674 48 46 468 468 468 563 563 562 IS 16 17 9"6i3545 9-613825 9-614105 9-959882 9-959825 9-959768 9-653663 9-654000 9-654337 10-346337 10-346000 10-345663 45 44 43 467 467 467 562 562 562 18 19 20 9-614385 9-614665 9-614944 467 46s 465 9-959711 9-959654 9-959596 9-654674 9-655011 9-655348 562 562 560 10-345326 10-344989 10-344652 42 4' 40 21 22 23 9-615223 9-615502 9-615781 465 465 465 9"959539 9-959482 9-959425 9-655684 9-656020 9-656356 560 560 560 10-344316 10-343980 10-343644 39 38 37 24 26 9-616060 9-616338 9-616616 463 463 463 9-959368 9-959310 9-959253 9-656692 9-657028 9-657364 560 560 558 10-343308 10-342972 10-342636 36 35 34 .i7 28 29 30 9-616894 9-617172 9-617450 9-617727 463 462 9'959i95 9-959138 9-9590S0 9-959023 9-657699 9-658034 9-658369 9-658704 558 55! 558 10-342301 10-341966 10-341631 10-341296 33 32 31 30 ' Cosine. Sine. Cotang. Tangent. ' 30 min. to 60 min. 65 degrees. 24 degrees. 30 min. to 60 min. - Sine. DIff. for loo' Cosine. Diff. for 100" 97 95 97 97 97 95 97 97 97 97 97 97 97 98 97 98 97 98 97 98 97 98 98 98 'Z 98 Tangent. Diff. for 100' Cotang. f 30 31 32 9-617727 9-618004 9-618281 9-959023 9-958965 9-958908 9-658704 9-659039 9-659373 10-341296 10-340961 10-340627 30 *9 28 462 462 462 558 "Z 558 33 34 35 9-618558 9-618834 9-6191 10 9-958S50 9-958792 9-958734 9-659708 9*660042 9-660376 10-340292 10-339958 10-339624 27 26 *5 460 460 557 , 557 557 36 37 38 9-619386 9-619662 9-619938 9-958677 9-958619 9-958561 9-660710 9-661043 9-661377 10-339290 10-338957 10-338623 24 23 22 460 460 458 555 557 555 39 40 41 9-620213 9-620488 9-620763 9'958503 9-958445 9-958387 9-661710 9-662043 9-662376 10-338290 io'337957 10-337624 21 20 19 458 458 458 555 555 555 4Z 43 44 9-621038 9-621313 9-621587 9-958329 9-958271 9-958213 9-662709 9-663042 9-663375 10-337291 10^36958 10-336625 18 17 16 458 457 457 555 555 553 45 46 47 9-621861 9-622135 9-622409 9-958154 9-958096 9-958038 9-663707 9-664039 9-664371 10-336293 10-335961 xo-335629 15 14 13 457 457 455 553 553 553 48 49 9-622682 9-622956 9-623229 9'957979 9-957921 9-957863 9-664703 9-665035 9-665366 10-335297 10-334965 10-334634 12 II 10 457 455 455 453 455 453 553 55* 553 51 5» 53 9-623502 9-623774 9-624047 9-957S04 9-957746 9-957687 9-665698 9-666029 9-^6360 10-334302 10-333971 10-333640 7 55» 55* 54 55 56 9-624319 9-624591 9-624863 9-957628 9-957570 9-957511 9-666691 9-667021 9-667352 10-333309 10-332979 10-332648 6 5 4 453 453 453 55° 55* 55° 57 58 60 9-625135 9-625406 9-625677 9-625948 9"95745» 9'957393 9'957335 9-957276 9-667682 9-668013 9-668343 9-668673 10-332318 10-331987 10-331657 10-331327 3 2 I 452 452 452 55* 550 550 /, Cosine. Sine. Cotang, Tangent. 1 min. to 30 min. 1 65 degrees. | E 2 25 degrees. rain, to 30 min. ' Sine. Diff. for 100' Cosine. Diff. for 100" Tangent. Diff. for 100' Cotang. ' -0 I 2 9-62594.8 9-626219 9-626490 9-957276 9-957217 9-957158 9-668673 9-669002 9-669332 10-331327 10-330998 10-330668 60 59 58 452 45a 450 98 98 548 548 3 4 5 9-626760 9-627030 9-627300 9-957099 9-957040 9-956981 9-669661 9-669991 9-670320 10-330339 10-330009 10-329680 11 55 450 450 450 98 98 100 550 548 548 6 7 8 9-627570 9-627840 9-628109 9-956921 9-956862 9-956803 9-670649 9-670977 9-671306 10-329351 10-329023 10-328694 54 53 5i 450 448 448 98 98 98 548 548 9 10 II 9-628378 9-628647 9-628916 9-956744 9-956684 9-956625 9-671635 9-671963 9-672291 10-328365 10-328037 10-327709 51 5° 49 448 448 448 100 98 98 547 547 547 12 '3 14 9-629185 9-629453 9-629721 9-956566 9-956506 9-956447 9-672619 9-677.947 9-673274 10-327381 10-327053 10-326726 48 47 46 447 447 447 100 98 100 547 545 547 i; If 17 9-629989 9-630257 9-630524 9-956387 9-956327 9-956268 9-673602 9-673929 9-674257 10-326398 10-326071 10-325743 45 44 43 447 445 447 100 98 100 545 547 545 i8 2C 9-630792 9-631059 9-631326 9-956208 9-956148 9-956089 9-674584 9-67491 1 9-675237 10-325416 10-325089 10-324763 42 4' 40 445 445 445 100 98 100 545 543 545 21 22 23 9-631593 9-631859 9-632125 9-956029 9-955969 9-955909 9'675564 9-675890 9-676217 jo-324436 10-324110 10-323783 39 38 37 443 443 445 100 100 100 543 545 543 24 25 26 9-6.32392 9-632658 9-632923 9-955849 9'955789 9-955729 9-676543 9-676869 9-677194 10-323457 10-323131 10-322806 36 35 34 443 442 443 100 100 100 543 542 543 27 28 29 3= 9-633189 9-633454 9-633719 9-6339% 9-955669 9-955609 9-955548 9-955488 9-677520 9-677846 9-678171 9-678496 10-322480 10-322154 10-321829 10-321504 33 32 31 30 442 442 442 100 102 100 543 542 542 ' Cosine. Sine. Cotang. Tangent. ' 30 min. to 60 min. 64 degrees. 25 degrees. 1 30 min. to 60 min. 1 / Sine. Diir. for 100' Cosine, Diff. for 100" Tangent. Diff. for 100' Cotang. '/ 30 32 9-633984 9-634249 9-634514 9-955488 9-955428 9"955368 9-678496 9-678821 9-679146 10-321504 10-321179 10-320854 30 29 28 442 442 440 100 100 102 542 542 542 33 34 35 9-634778 9-635042 9-635306 9-955307 9"9S5247 9-955186 9-679471 9-679795 9-680120 10-320529 10-320205 10-319880 27 26 *5 44° 44° 440 100 102 100 54° 542 540 36 37 38 9-635570 9-635834 9-636097 9-955126 9-955065 9-955005 9-680444 9-680768 9-681092 10-319556 10-319232 10-318908 24 23 22 440 438 438 102 100 102 540 54° 540 39 40 41 9-636360 9-636623 9-636886 9'954944 9-954883 9-954823 9-681416 9-681740 9-682063 10-318584 10-31S260 10-317937 2i 20 19 438 438 437 102 100 102 54° 538 54° 42 43 44 9-637148 9-637411 9-637673 9-954762 9-954701 9-954640 9-682387 9-682710 9-683033 10-317613 10-317290 10-316967 18 17 16 438 437 437 102 102 102 538 538 45 46 47 9-637935 9-638197 9-638458 9"954579 9-954518 9'954457 9-683356 9-683679 9-684001 10-316644 10-316321 10-315999 15 14 '3 437 435 437 102 102 102 538 537 538 48 49 50 9-638720 9-638981 9-639242 9-954396 9-954335 9-954274 9-684324 9-684646 9-684968 10-315676 10-315354 10-315032 12 11 10 435 435 435 102 102 102 537 537 537 51 5» 53 9-639503 9-639764 9-640024 9-954213 9-954152 9-954090 9-685290 9-685612 9-685934 10-314710 10-314388 10-314066 9 8 ■7 435 433 433 102 103 102 537 537 535 54 9-640284 9-640544 9-640804 9-954029 9-953968 9-953906 9-686255 9-686577 9-686898 10-313745 10-313423 10-313102 6 5 4 433 433 433 102 103 102 537 535 535 57 58 11 9-641064 9-641324 9-641583 9-641842 9"953845 9"953783 9-953722 9-953660 9-687219 9-687540 9-687861 9-688182 10-312781 10-312460 10-312139 10-311818 3 2 1 433 432 43* 103 102 103 535 535 535 ' Cosine. Sine. Cotang. Tangent. / ■ min. to 30 min. 64 degrees. 26 degrees. min. to 30 min. / Sine. Dlir for 100' Cosine. DifT. for loo' Tangent. Dlff. for lOO' Cotang. / o I % 9'64i84a 9'642ioi 9*642360 9-953660 9'953599 9'9S3S37 9-6S8182 9-688502 9-688823 10-311818 10-311498 10-311177 60 59 58 432 432 430 102 103 103 533 535 533 3 4 5 9-64z6i8 9-642877 9'643i35 9*953475 9'9S34i3 9-953352 9-689143 9-689463 9-689783 10-310857 10-310537 10-310217 57 56 55 432 430 430 103 102 103 533 533 533 6 7 8 9-643393 9-643650 9-643908 9-953290 9-953228 9-953166 9-690103 9-690423 9-690742 10-309897 10-309577 10-309258 54 53 52- 428 430 428 103 103 103 533 532 533 9 lO II 9-644165 9-644423 9*644680 9-953104 9-953042 9-952980 9-691062 9-691381 9-691700 10-308938 10-308619 10-308300 51 50 49 430 428 427 103 103 103 S3» 532 532 la '4 9-644936 9-645193 9-645450 9-952918 9-952855 9"953793 9-692019 9-692338 9-692656 10-307981 10-307662 10-307344 48 46 428 428 427 105 103 103 532 530 53a 15 16 17 9-645706 9-645962 9-646218 9-952731 9-952669 9-952606 9-692975 9-693293 9-693612 10-307025 10-306707 10-306388 45 44 43 427 427 427 103 105 103 530 532 530 ig 19 20 9-646474 9-646729 9-646984 425 427 9-952544 9-952481 9-952419 105 103 105 9-693930 9-694248 9-694566 530 530 528 10-306070 10-305752 10-305434 42 41 40 21 22 »3 9-647240 9-647494 9-647749 423 425 425 9-952356 9-952294 9-952231 103 105 105 9-694883 9-695201 9-695518 530 528 530 10-305117 10-304799 10-304482 39 38 37 24 26 9-648004 9-648258 9-648512 423 423 423 9-952168 9-952106 9-952043 103 105 105 9-695836 9-696153 9-696470 528 528 528 10-304164 io'303847 10-303530 36 35 34 27 2g 29 30 9-648766 9-649020 9-649274 9-649527 423 423 422 9-951980 9-951917 9"95i854 9-951791 105 105 105 9-696787 9-697103 9-697420 9-697736 527 528 527 10-303213 10-302897 10-302580 10-302264 33 32 3i. 3O' ' Cosine. Sine. Cotang. Tangent. — ..... , , . , 30 min. to 60 min. 63 degrees. 26 degrees. 30 min. to 60 min. 1 Sine. DllK for loo" Cosine. for 100" Tangent. Diff. for 100" Cotang. / 3° 32 9-649527 9-649781 9-650034 9-951791 9-951728 9-951665 9^697736 9-698053 9-698369 10-302264 10-301947 10-301631 30 29 28 423 422 422 105 105 105 528 527 527 33 34 35 9-650287 9-650539 9-650792 9-951602 9-951539 9-951476 9-698685 9-699001 9-699316 10-301315 10-300999 10-300684 27 26 25 420 422 420 105 105 107 527 525 527 36 37 38 9-651044 9-651297 9-651549 9-951412 9-951349 9-951286 9-699632 9-699947 9-700263 10-300368 10-300053 10-299737 *4 23 22 422 420 418 105 i°5 107 525 5*7 525 39 40 4' 9-651800 9-652052 9-652304 9-951222 9-951159 9-951096 9-700578 9-700893 9-701208 10-299422 10-299107 10-298792 21 20 19 420 420 418 105 105 107 525 525 5*5 42 43 44 9'65a555 9-652806 9-653057 9-951032 9-950968 9-950905 9-701523 9-701837 9-702152 10-298477 10-298163 10-297848 18 16 418 418 418 107 105 107 523 5*5 5*3 45 46 47 9-653308 9-653558 9-653808 9-950841 9-950778 9-950714 9-702466 9-702781 9-703095 10-297534 10-297219 10-296905 15 H 13 417 417 418 105 107 107 5*5 5*3 5*3 48 49 5° 9-654059 9-654309 9-654558 9-950650 9-950586 9-950522 9-703409 9-703722 9-704036 10-296591 10-296278 10-295964 12 11 10 417 415 417 107 107 107 522 5*3 5*3 51 5^ 53 9-654808 9-655058 9-655307 9-950458 9-950394 9-950330 9-704350 9-704663 9-704976 10-295650 10-295337 10-295024 7 417 415 415 107 107 107 522 522 5*3 54 55 56 9-655556 9-655805 9-656054 9-950266 9-950202 9-950138 9-705290 9-705603 9-705916 10-294710 10-294397 10-294084 6 5 4 415 415 413 107 107 107 522 522 520 57 58 60 9-656302 9-656551 9-656799 9-657047 9-950074 9-950010 9-949945 9-949881 10-293772 10-293459 10-293146 10-292834 3 2 1 415 413 4'3 107 108 107 9-706228 9-706541 9-706854 9-707166 522 522 520 ' Cosine. Sine. Cotong. Tangent. / min. to 30 min. 63 degrees. 27 degrees. min. to 30 inin. ' Sine. Diff. for 100' Cosine. Dlff. for 100' Tangent. Dlif. for lOO' Cotang. / o I 2 9-657047 9-657295 9-657542 9-949881 9-949816 9-949752 9-707166 9-707478 9-707790 10-292834 10*292522 10*292210 60 11 413 412 413 108 107 107 520 520 520 3 4 5 9-657790 9-658037 9-658284 412 412 412 9-949688 9-949623 9-949558 108 108 107 9-708102 9-708414 9-708726 520 520 518 10*291898 10-291586 10-291274 1^ 55 6 7 8 9-658531 9-658778 9-659025 412 412 410 9-949494 9-949429 9-949364 108 108 107 9*709037 9-709349 9-709660 520 518 10-290963 10*290651 10-290340 54 53 5» 9 10 n 9-659271 9-659517 9-659763 410 410 410 9-949300 9"949^35 9-949170 108 108 lOg 108 108 loS 9-709971 9-710282 9-710593 518 518 518 10-290029 10-289718 10*289407 51 50 49 IZ 13 '4 9-660009 9-660255 9-660501 410 410 408 9-949105 9-949040 9-948975 9-710904 9-711215 9*711525 518 517 518 10-289096 10-288785 10-288475 48 47 46 15 16 17 9-660746 9*660991 9-661236 408 408 408 9*948910 9-948845 9*948780 108 108 108 9-711836 9-712146 9-712456 517 S'7 10*288164 10-287854 10-287544 45 44 43 18 19 ao 9-661481 9-661726 9-661970 408 407 407 9*948715 9-948650 9-948584 108 no 108 9-712766 9-713076 9-713386 S17 S'7 517 10-287234 10-286924 10-286614 42 41 40 21 22 23 9-662214 9-662459 9-662703 9*948519 9-948454 9:948388 9-713696 9-714005 9*714314 10-286304 10-285995 10-285686 39 38 37 408 407 405 108 no log 515 5'7 24 26 9-662946 9-663190 9-663433 9-948323 9-948257 9-948192 9*714624 9-714933 9*715242 10*285376 10*285067 10-284758 36 35 34 407 405 407 no 108 no 515 515 S15 27 2g 29 30 9-663677 9-663920 9-664163 9-664406 9*948126 9-948060 9*947995 9*947929 9*715551 9*715860 9*716168 9*716477 10-284449 10-284140 10-283832 10-283523 33 31 31 30 405 405 405 no 108 no S15 513 5'S ' Cosine. Sine. Cotang. Tangent. ■ 30 min. to 60 min. 62 degrees. 27 degrees. 30 min. to 60 min. / Sine. Diir. for 100' Cosine. Diff. tor ico" Tangent. Diff. for 100' Cotang. 3° 31 32 9-947929 9-947863 9-947797 9-716477 9-716785 9-717093 10-283523 10-283215 10-282907 30 29 28 9-664648 9'66489i 403 405 403 no no no 513 S13 513 33 34 35 9-665133 9-665375 9-665617 9'94773i 9-947665 9-947600 9-717401 9-717709 9-718017 10-282599 10-282291 10-281983 27 26 25 403 403 403 no 108 112 S13 513 513 36 37 38 9-665859 9-666100 9-666342 402 403 402 9'94r7533 9-94>467 9-947401 no no no 9-718325 9-718633 9-718940 513 512 5>3 10-281675 10-281367 10-281060 24 ^3 22 39 40 41 9-666583 9-666824 9-667065 9'947335 9-947269 9-947203 9-719248 9"7i9555 9-719862 10-280752 10-280445 10-280138 21 20 19 402 402 400 no no 112 512 512 512 42 +3 44 9-667305 9-667546 9-667786 9-947136 9-947070 9-947004 9-720169 9-720476 9-720783 10-279831 10-279524 10-279217 18 17 16 402 400 402 no no 112 S»2 512 510 45 46 47 9-668027 9-668267 9-668506 400 398 400 9-946937 9-946871 9-946804 no 112 no 9-721089 9-721396 9-721702 512 510 512 10-278911 10-278604 10-278298 15 14 13 48 49 50 9-668746 9-668986 9-669225 9-946738 9-946671 9-946604 9-722009 9-722315 9-722621 10-277991 10-277685 10-277379 12 11 10 400 398 398 112 112 no 510 510 510 51 5» 53 9-669464 9-669703 9-669942 398 398 398 9-946538 9-946471 9-946404 112 112 112 9-722927 9-723232 9-723538 508 510 510 10-277073 10-276768 10-276462 7 54 55 56 9-670181 9-670419 9-670658 397 398 397 9-946337 9-946270 9-946203 112 112 112 9-723844 9-724149 9-724454 508 508 510 10-276156 10-275851 10-275546 6 5 4 5Z 58 59 60 9-670896 9-671134 9-671372 9-671609 9-946136 ,9-946069 9-946002 9'945935 9-724760 9-725065 9-725370 9-725674 10-275240 10-274935 10-274630 10-274326 3 2 1 397 397 395 112 112 112 508 508 507 / Cosine. Sine. Cotangf. Tangent. ' min. to 30 min. 62 degrees. K 5 28 degrees. min. to 30 rain. 1 Sine. Dlff. foe 100' Cosine. Diff. for loo' Tangent. Diff. for 100' Cotang. / I z 9"67i6o9 9-671847 9'672o84 9"94S935 9-945868 9-945800 9-725674 9-725979 9-726284 10-274326 10-274021 10-273716 60 59 58 397 39S 395 112 113 112 508 508 507 3 4 5 9-672321 9-672558 9-672795 9'94-5733 9-945666 9-945598 9-726588 9-726892 9-727197 10-273412 10-273108 10-272803 11 55 395 395 395 112 113 112 507 508 507 6 7 8 9-673032 9-673268 9-673505 9'94S53' 9-945464 9-945396 9-727501 9-727805 9-728109 10-272499 10-272195 10-271891 54 S3 5^ 393 395 393 112 "3 113 5°7 5°7 5°S 9 lO II 9-673741 9-673977 9-674213 9-945328 9-945261 9-945193 9-728412 9-728716 9-729020 10-271588 10-271284 10-270980 5' 5° 49 393 393 392 112 113 113 S°7 507 5° 5 12 13 14 9-674448 9-674684 9-674919 393 392 393 9-945125 9-945058 9-944990 112 113 113 9'7»93«3 9-729626 9-729929 5°5 505 507 10-270677 10-270374 10-270071 48 47 46 »5 i6 17 9-675155 9-675390 9-675624 9-944922 9-944.854 9-944786 9-730233 9-730535 9-730838 10-269767 10-269465 10-269162 45 44 43 392 390 392 113 113 113 503 505 i8 19 zo 9-675859 9-676094 9-676328 392 39° 39° 9-944718 9-944650 9-944582 "3 113 113 9-731141 9'73i444 9-731746 505 503 503 10-268859 10-268556 10-268254 42 41 40 21 22 23 9-676562 9-676796 9-677030 390 39° 39° 9-944514 9"944377 113 "5 113 9-732°48 9-732351 9-732653 5°5 503 503 10-267952 10-267649 10-267347 39 38 37 24 26 9-677264 9-677498 9-677731 390 388 388 9-944309 9-944241 9-944172 113 "5 113 973»955 9-733257 9-733558 503 502 503 10-267045 10-266743 10-266442 36 35 34 27 2g 29 30 9-677964 9-678197 9-678430 9-678663 388 388 388 9-944104 9-944036 9-943967 9-943899 113 "5 "3 9-733860 9-734162 9-734463 9734764 503 502 S°i io-2ff6i40 10-265838 10-265537 10-265236 33 32 31 30 ' Cosine. Sine. Cotang. Tangent. ' 30 min. to 60 min. 61 degrees. 28 degrees. 30 min. to 60 min. 1 Sine. Diff. for 100' Cosine. Diff. for 100" Tangent. Diff. for 100" Cotang. / 30 32 9-678663 9-678895 9-679128 9-943899 9'943830 9-943761 10-265236 10-264934 10-264633 30 29 28 387 388 387 "5 "5 113 9-735066 9"735367 503 502 502 33 34 35 9-679360 9-679592 9-679824 9-943693 9-943624 9'943S5S 9-735668 9-735969 9-736269 10-264332 10-264031 ,10-263731 27 26 »5 387 387 387 "5 115 "5 502 500 502 36 38 9-680056 9-680288 9-680519 9-943486 9'9434i7 9-943348 9-736570 9736870 9-737171 10-263430 10-263130 10-262829 24 23 22 387 385 385 "5 "5 "5 500 S02 500 39 40 41 9-680750 9-680982 9-68 1213 9-943279 9-943210 9-943141 9-737471 9-737771 9-738071 10-262529 10-262229 10-261929 21 20 '9 387 385 383 "5 "5 "5 500 500 500 42 43 44 9-681443 9-6S1674 9-681905 385 385 383 9-943072 9-943003 9'94a934 "5 "5 117 9-738371 9-738671 9-738971 500 500 500 10-261629 10-261329 10-261029 18 17 16 45 46 47 9-682135 9-682365 9-6S2595 383 3«3 383 9-942864 9-942795 9-942726 "5 "5 117 9-739271 9739570 9-739870 498 500 49S 10-260729 10-260430 10-260130 15 14 13 48 49 5° 9-682825 9-683055 9-683284 3S3 382 383 9-942656 9-942587 9-942517 "5 117 "5 9-740169 9-740468 9-740767 498 498 498 10-259831 10-259532 10-259233 12 11 10 SI 52 53 9-683514 9-683743 9-683972 9-941448 9-942378 9-942308 9-741066 9-741365 9-741664 10-258934 10-258635 10-258336 9 8 7 382 382 382 117 117 "5 498 498 497 54 9-684201 9-684430 9-684658 382 380 382 9-942239 9-942169 9-942099 117 117 117 117 117 117 9-741962 9-742261 9-742559 498 497 498 10-258038 10-257739 10-257441 6 5 4 57 58 60 9-684887 9-685115 9-685343 9-685571 380 380 380 9-942029 9-94x959 9-941889 9-941819 9-742858 9-743156 9743454 9-743752 497 497 497 10-257142 10-256844 10-256546 10-256248 3 2 I ' Cosine. Sine. Cotang. Tangent. / rain, to 30 min. 61 degrees. 29 degrees. min. to 30 min. / Sine. Diffi for 100' Cosine. DiK for 100° Tangent. DIff. for 100" Cotang. , o I 2 9-6g557i 9-6g5799 g'6g6o27 9-941819 9-941749 9-941679 9-743752 9-744050 9-744348 10-256248 10-255950 10-255652 60 59 58 380 380 378 117 117 117 497 497 495 3 4 5 9'6g6254 9-6864g2 9-686709 9-941609 9'94i539 9-941469 9-744645 9744943 9-745240 io'a55355 10-255057 10-254760 57 56 55 380 1 378 378 378 377 378 378 377 377 117 117 iig 497 495 497 6 7 g 9-686936 9-687163 9-687389 9-941398 9-941328 9-941258 9745538 9745835 9-746132 10-254462 10-254165 10-253868 54 53 5* 117 117 118 495 495 495 9 10 II 9-687616 9-687843 9-688069 9-941187 9-941117 9-941046 9-746429 9-746726 9-747023 10-253571 10-253274 10-252977 5' 50 49 117 118 118 495 495 493 12 '3 14 9-688295 9-688521 9-688747 9-940975 9-940905 9-940834 9-747319 9-747616 9-747913 10-252681 10*252384 10-252087 48 47 46 377 377 375 117 118 118 495 495 493 '7 9-688972 9-689198 9-689423 9-940763 9-940693 9-940622 9-748209 9-748505 9-748801 10-251791 10-251495 10-251199 45 44 43 377 375 375 117 118 118 493 493 493 jg 20 9-689648 9-689873 9*690098 9-940551 9-940480 9-940409 9749097 9749393 9-749689 10*250903 10-250607 10-250311 42 41 40 375 375 375 iig 118 iig 118 118 iig 493 493 493 21 22 23 9-690323 9-690548 9-690772 375 373 373 9-940338 9-940267 9-940196 9749985 9-750281 9-750576 493 492 493 10-250015 10-249719 10-249424 39 38 37 24 25 26 9-690996 9-691220 9-691444 373 373 373 9-940125 9-940054 9-939982 iig 120 118 9-750872 9-751167 9-751462 492 492 492 10-249128 10-248833 io-24g53g 36 35 34 27 2g 29 30 9-691668 9-691892 9-692115 9-692339 373 372 373 9-939911 9-939840 9-939768 9-939697 118 120 118 9751757 9-752052 9-752347 9-752642 492 492 492 10-248243 10-247948 10-247653 10-247358 33 32 31 30 ' Cosine. Sine. Cotang. Tangent. ; ' 1 30 min. to 60 min. 60 degrees. 29 degrees. 30 rain, to 60 min. | 1 Sine. Diff. for 100" Cosine. DiSf. for 100" Tangent. Dlff. for 100" Cotang. 1 30 32 9-692339 9"692s62 9-694785 9-939697 9-939625 9'939S54 9-752642 9-752937 9-753231 10-247358 10-247063 10-246769 30 29 28 372 372 372 120 118 120 492 490 492 33 34 35 9-693008 9-693231 9"093453 9-939482 9-939410 9-939339 9-753526 9-753820 9-754115 10-246474 10-246180 10-245885 27 26 25 372 370 372 120 118 120 490 492 49° 36 38 9-693676 9-693898 9-694120 9-939267 9-939'9S 9-939123 9-754409 9-754703 9'754997 10-245591 10-245297 10-245003 24 23 22 370 370 370 120 120 118 49° 490 49° 39 40 41 9-694342 9-694564 9-694786 9-939052 9-938980 9-938908 9755291 9755585 9-755878 10-244709 10-244415 10-244122 21 ao 19 370 370 368 120 120 120 490 488 490 42 43 44 9-695007 9-695229 9-695450 9-938836 9-938763 9-938691 9-756172 9-756465 9756759 10-243S28 io'H3535 10-243241 18 17 16 370 36S 368 122 120 120 488 490 488 45 46 47 9-695671 9-695892 9-696113 9-93S619 9"938547 9'938475 9-757052 9757345 9-757638 10-242948 10-242655 10-242362 15 14 13 368 368 368 120 IZO 122 488 488 488 48 49 5° 9-696334 9-696554 9-696775 9-938402 9-938330 9-938258 9757931 9-758224 9758517 10-242069 10-241776 10-241483 12 11 10 367 368 367 120 120 122 4S8 488 488 SI S3 9-696995 9-697215 9"fi97435 9-938185 9-938113 9-938040 9-758810 9-759102 9759395 10-241190 10-240898 10-240605 9 8 7 367 367 365 120 122 122 487 488 487 54 SS 56 9-697654 9-697874 9-698094 9-937967 9"937895 9-937822 9-759687 9759979 9-760272 10-240313 1<5-240021 10-239728 6 5 4 367 367 365 120 122 122 487 488 487 58 59 60 9-698313 9-698532 9-698751 9-698970 9'937749 9-937676 9-937604 9-937531 9-760564 9-760856 9-761148 9-761439 10-239436 10-239144 10-238852 10-238561 3 2 1 365 36s 365 122 120 122 487 487 485 ' Cosine. Sine. Cotang. Tangent. 1 min. to 30 min. 60 degrees. 30 degrees. min. to 30 min. •V Sine. Dim for 100' Cosine. Diff. for 100" Tangent. DW. for loo' Cotang, 1 o I z 9-698970 9-699189 9-699407 9"937S3i 9'937458 9-937385 9-761439 9-761731 9-762023 10-238561 10-238269 10-237977 60 59 58 365 363 365 IZ2 122 122 487 487 485 3 4 5 9-699626 9-699844 9-700062 9-9373IZ 9-937Z38 9-937165 9-76Z314 9-762606 9-762897 10-237686 10-237394 10-237103 57 56 55 363 363 363 123 122 122 487 485 485 6 7 8 9-70cz8o 9-700498 9-700716 9-93709Z 9-937019 9-936946 9-763188 9-763479 9-763770 10-236812 10-236521 10-236230 54 53 51 363 363 362 122 122 123 485 485 485 485 485 483 9 lO II 9-700933 9-701151 9-701368 9-93687Z 9-936799 9-9367Z5 9-764061 9-764352 9-764643 10-235939 10-235648 io"»35357 51 50 49 363 362 362 122 IZ3 I2Z IZ «3 9-701585 9-70180Z 9-70Z0I9 9-93665Z 9-936578 9-936505 9-764933 9-765224 9-765514 10-235067 10-234776 10-234486 48 46 362 362 362 IZ3 1 22 IZ3 485 483 485 '5 i6 17 9-70Z236 9-70Z452 9-702669 9-936431 9-936357 9-936zg4 9-765805 9-766095 9766385 10-234195 10-233905 io'z336i5 45 44 43 360 362 360 IZ3 122 123 483 483 483 483 483 483 i8 19 20 9*7oz885 9-703101 9-703317 360 360 360 9-936Z10 9-936136 9-93606Z 123 123 123 9-766675 9-766965 9-767255 10-233325 10-233035 10-232745 42 41 40 ZI zz Z3 9-703533 9-703749 9-703964 360 358 IS" 9-935988 9'93S9'4 9-935840 123 123 IZ3 9767545 9-767834 9-768124 482 483 483 48Z 482 482 10-232455 10-232166 IO-Z3I876 39 38 37 Z4 zl 9-704179 9-704395 9-704610 360 358 3^8 9-935766 9-935692 9-93561S 123 123 125 9-768414 9-768703 9-768992 10-Z31586 10-231297 10-231008 36 35 34 Z7 z8 Z9 3° 9-704825 9-705040 97052S4 9-705469 358 357 358 9"935543 9-935469 9*935395 9-935320 123 123 125 9-769281 9-769571 9-769860 9-770148 483 482 480 10-230719 10-230429 10-230140 10-229852 33 3» 31 30 ' Cosine. Sine. Cotang. Tangent. ' 30 min. to 60 min. 69 degrees. 30 degrees. 80 min. to 60 min. ' Sine. DUE foi 100" Cosine. Dlff. for 100" Tangent. Diff. for 100' Cotang. , / 3° 31 32 9705469 9705683 9705898 9-935320 9-935246 9-935171 9-770148 9-770437 9-770726 10-229852 10-229563 10-229274 30 29 28 357 35X 357 123 125 123 482 482 482 33 34 35 9706112 9706326 9706539 9-935097 9-935022 9-934948 .9-771015 9-771303 9-771592 10-228985 10-228697 10-228408 27 26 25 357 355 357 125 123 125 4S0 482 480 36 37 38 9706753 9706967 9707180 9'934873 9-934798 9'934723 9-771880 9-772168 9-772457 10-228120 10-227832 10-227543 24. 23 22, 357 355 355 125 .125 123 480 482 480 39 40 41 9707393 9707606 9707819 9-934649 9'934574 9"934499 9-772745 9773033 97733*1 10-227255 10-226967 10-226679 21 20 19 355 355 355 125 125 125 480 480 478 42 43 44 9*708032 9708245 9708458 9-934424 9"934349 9-934274 9-773608 9-773896 9-774184 10-226392 10-226104 10-225816 18 355 355 353 125 125 125 480 480 478 45 46 47 9708670 9708882 9709094 9-934199 9-934123 9-934048 9-774471 9774759 9-775046 10-225529 10-225241 10-224954 '5 14 13 353 353 353 127 125 125 480 478 478 48 49 50 9709306 9709518 9709730 9*933973 9-933898 9-933822 9775333 9-775621 9-775908 10-224667 10-224379 10-224092 12 11 10 353 353 35a 125 127 125 480 478 478 51 52 53 9709941 9710153 9710364 9'933747 9-933671 9'933596 9-776195 9-776482 9-776768 10-223805 10-223518 10-223232 7 353 352 35^ 127 125 127 478 477 478 54 9710575 9710786 9710997 9-933520 9'9J3445 9-933369 9777055 9-777342 9-777628 10-222945 10-222658 10-222372 6 5 4 35* 352 35a 125 127 127 •478 477 478 57 58 It 9711208 9711419 9711629 9711839 9-933293 9-933217 9-933141 9-933066 9-777915 9-778201 9-778488 9778774 10-222085 10-221799 10-221512 IO*22I226 3 2 1 352 350 350 127 127 125 477 478 477 ' Cosine. Sine. Cptang. Tangent. / min. to 30 min. 59 degrees. 31 degrees, min. to 30 min. ' Sine. Olff. for 100' Cosine, Dlff. for 100' Tangent. Dlff. for loo" Cotang. ' o I 2 9-711839 9'7i205o 9'7i226o 9-933066 9-932990 9-932914 9-778774 9-779060 9-779346 9-779632 9-779918 9-780203 10-221226 10-220940 10-220654 60 59 58 35* 35° 348 127 127 127 477 477 477 3 4 5 9-712469 9-712679 9-712889 9-932838 9-932762 9-932685 10-220368 10-220082 10-219797 57 56 55 350 35° 348 127 128 127 477 475 477 6 7 8 9-713098 9-713308 9'7I3SI7 9-932609 9-93»533 9-932457 9-780489 9-780775 9-781060 10-219511 10-219225 10-218940 54 53 5* 350 348 348 127 127 128 477 475 477 9 10 11 9-713726 9'7i3935 9-714144 9-932380 9-932304 ^932228 9-781346 9-781631 9-781916 10-218654 10-218369 10-218084 51 50 49 348 348 347 127 127 128 475 475 475 13 14 9-714352 9-714561 9-714769 9-932151 9-932075 9-931998 9-782201 9-782486 9-782771 10-217799 10-217514 10-217229 48 47 46 348 347 348 127 128 128 475 475 475 475 475 473 '5 i6 17 9-714978 9-715186 9-715394 9-931921 9-931845 9-931768 9-783056 9-783341 9-7S3626 10-216944 10-216659 10-216374 45 44 43 347 347 347 127 128 128 i« '9 20 9-715602 9-715809 9-716017 9-931691 9-931614 9-931537 9-783910 9-784195 9-784479 10-216090 10-215805 10-215521 42 41 40 345 347 345 128 128 128 475 473 475 21 22 23 9-716224 9-716432 9-716639 347 345 345 9-931460 9-931383 9-931306 128 128 128 9-784764 9-785048 9-785332 473 473 473 10-215236 10-214952 10-214668 39 38 37 24 26 9-716846 9-717053 9-717259 345 343 345 9-931229 9-931152 9-931075 128 128 128 128 130 128 9-785616 9-785900 9-786184 473 473 473 10-214384 10-214100 10-213816 36 35 34 27 28 29 30 9-717466 9-717673 9-717879 9-718085 345 343 343 9-930998 9-930921 9-930843 9-930766 9-786468 9-786752 9-787036 9-787319 473 473 472 10-213532 10-213248 10-212964 10-212681 33 3^ 31 30 ' Cosine. Sine. Cotang. Tangent, 1 30 min. to 60 min. 68 degrees. 31 degrees. 30 min. to 60 min. / Sine. Diff. for 100" Cosine. DifT. for 100" Tangent. Diff. for 100" Cotang / 30 32 9-7i8o«5 9'7i829i 9-718497 9-930766 9-930688 9-930611 9-787319 9-787603 9-787886 10-212681 10-212397 10-212114 30 29 28 343 343 343 130 128 130 128 130 130 473 472 473 33 34 35 9-718703 9-718909 9-719114 9'930533 9-930456 9-930378 9-788170 9-788453 9-788736 10-211830 10-211547 10-211264 27 26 25 343 342 343 472 472 472 36 37 38 9-719320 9-719525 9-719730 9-930300 9-930223 9-930145 9-789019 9-789302 9-789585 10-210981 10-210698 10-210415 24 23 22 342 342 342 128 130 130 130 130 130 47'- 472 472 39 40 41 9"7I993S 9-720140 9-720345 9-930067 9-929989 9-929911 9-789868 9-790151 9-790434 10-210132 10-209849 10-209566 21 20 19 342 342 340 472 472 470 42 43 44 9-720549 9-720754 9-720958 9-929833 9-929755 9-929677 9-790716 9-790999 9-791281 10-209284 10-209001 10-208719 18 17 16 342 340 340 130 130 130 472 470 470 45 46 47 9-721162 9-721366 9-721570 9-929599 9-929521 9-929442 9-791563 9-791846 9-792128 10-208437 10-208154 10-207872 .15 14 13 ' 340 340 340 130 132 130 472 470 470 48 49 50 9-721774 9-721978 9-7221S1 9-929364 9-929286 9-929207 9-929129 9-929050 9-928972 9-792410 9-792692 9.792974 10-207590 10-207308 10-207026 12 11 10 340 338 340 130 132 130 470 470 470 51 S3 9-722385 9-722588 9-722791 338 338 338 132 130 132 9-793256 9-793538 9-793819 470 468 470 10-206744 10-206462 10-206181 10-205899 10-205617 10-205336 7 ~6 5 4 54 55 56 9-722994 9-723197 9-723400 338 338 338 9-928893 9-9288x5 9-928736 130 132 132 132 132 132 9-794101 9-794383 9-794664 470 468 470 468 468 468 11 11 9-723603 9-723805 9-724007 9-724210 9-928657 9-928578 9-928499 9-928420 9-794946 9-795227 9-795508 9-795789 10-205054 10-204773 10-204492 10-204211 3 2 I 337 ,337 338 t . Cosine. Sine. Cotang. Tangent. 1 min. to 30 min. 58 degrees. 32 degrees. min. to 30 rain. / Sine. Diff. for 100' Cosine. Diff. for 100' Tangent, Diff. for 100' Cotang. ' I z 9-724210 9-724412 9-724614 9-928420 9-928342 9-928263 9-795789 9-796070 9-796351 10-204211 10-203930 10-203649 60 59 58 337 337 337 130 132 133 468 468 468 3 4 S 9-724816 9-725017 9-725219 ■ 9-928183 9-928104 9-928025 9-796632 9-796913 9-797194 10-203368 10-203087 10-202806 57 56 55 335 337 335 132 132 132 468 468 467 6 7 8 9-725420 9-725622 9-725823 9-927946 9-927867 9-927787 9"797474 9-797755 9-798036 10 202526 10-202245 10-201964 54 53 5* 337 335 335 132 133 132 468 468 467 9 10 II 9-726024 9-726225 9-726426 9-927708 ■ 9-927629 9-927549 9-798316 9-798596 9-798877 10-201684 10-201404 10-201123 51 5° 49 335 335 333 132 133 132 467 468 467 12 '3 H 9-726626 9-726827 9-727027 9-927470 9-927390 9-927310 9-799157 9799437 9-799717 10-200843 10-200563 10-200283 48 46 335 333 335 133 133 132 467 467 467 >5 i6 17 9-727228 9-727428 9-727628 9-927231 9-927151 9-927071 9-799997 9-800277 9-800557 10-200003 10-199723 10-199443 45 44 43 333 333 333 133 '33 '33 133 133 133 467 467 465 i8 19 20 9-727828 9-728027 9-728227 33^ 333 333 9-926991 9-9269 1 1 9-926831 9-800836 9-801116 9*801396 467 467 46s 10-199164 10-198884 10-198604 42 41 40 21 22 23 9-728427 9-728626 9-728825 332 332 33» 9-926751 9-926671 9-926591 '33 '33 '33 9-801675 9-801955 9-802234 467 465 465 10-198325 10-198045 10-197766 39 38 37 24 9-729024 9-729223 9-729422 332 332 33^ 9-926511 9-926431 9-926351 133 133 135 9-802513 9-802792 9-803072 465 467 465 10-197487 10-197208 10-196928 36 35 34 27 28 29 30 9-729621 9-729820 9-730018 9-730217 33* 330 33* 9-926270 9-926190 9-926110 9-926029 133 '33 135 9-803351 9-803630 9-803909 9-804187 465 465 463 10-196649 10-196370 10-196091 10-195813 33 32 3' 30 / Cosine. 1 Sine. Cotang. Tangent. ' 30 min. to 60 min. 57 degrees. 32 degrees. 30 min. to 60 min. / Sine. Diff. for loo' Cosine. Diff. for 100" Tangent. Diff. for 100" Cotang, / 30 3* 9730217 9730415 9730613 9*926029 9-925949 9-925868 9-804187 9-804466 9-804745 10-195813 10-195534 10-195255 30 29 28 330 330 33° 133 135 133 465 465 463 33 34 35 9730811 9731009 9731206 330 3='8 330 9-925788 9-925707 9-925626 135 135 135 9-805023 9-805302 9-805580 465 463 465 10-194977 10-194698 10-194420 27 26 25 36 37 38 9731404 9731602 9731799 330 328 328 9'925S45 9-925465 9-925384 133 135 135 9-805859 9-806137 9-806415 463 463 463 10-194141 10-193863 10-193585 24 23 22 39 40 4' 9731996 9732193 9732390 328 328 ^28 9-925303 9-925222 9-925141 9-925060 9-924979 9-924S97 135 135 J35 9-806693 9-806971 9-807249 463 463 463 10-193307 10-193029 10-192751 21 20 19 +2 43 44 9732587 9732784 9732980 328 327 328 135 137 135 9-807527 9-807805 9-808083 463 463 463 10-192473 io*]92i95 10-191917 18 11 45 46 47 9733177 9733373 9'733S69 327 327 327 9-924816 9-924735 9-924654 135 13s 137 9-808361 9-808638 9-808916 462 463 462 10-191639 10-191362 10-191084 15 14 13 48 49 SO 9733765 9733961 9-734157 327 327 327 9-924572 9-924491 9-924409 135 137 135 9-809193 9-809471 9-809748 463 462 462 10-190807 10-190529 10-190252 12 11 10 51 5* S3 9734353 9734549 9734744 327 325 325 9-924328 9-924246 9-924164 137 137 135 9-810025 9-810302 9-810580 462 463 462 10-189975 10-189698 10*189420 9 8 7 54 11 9734939 9735135 9735330 327 3*5 325 9-924083 9-924001 9-923919 137 137 137 9-810857 9-811134 9-811410 462 460 462 10-189143 10-188866 10-188590 1 4 57 58 59 6o 9735525 9735719 9735914 9736109 323 325 325 9-923837 9-923755 9-923673 9-923591 137 137 137 9-811687 9-811964 9-812241 9-812517 462 462 460 10-188313 10-188036 10-187759 10-187483 3 2 I ' Cosine. Sine. Cotang. Tangent. ' min. to 30 min. 57 degrees. 33 degrees. min. to 30 min. t Sine. Diff. for 100' Cosine. Diff. for loo' Tangent. Diff. for 100' Cotang. I z 9-736109 9-736303 9-736498 9-923591 9-923509 9-923427 9-812517 9-812794 9-813070 10-187483 10-187206 10-186930 60 59 58 3^3 32s 323 137 137 137 462 460 462 3 4 5 9-736692 9-736886 9-737080 9'9i3345 9-923263 9-923181 9-813347 9-813623 9-813899 10-186653 10-186377 J0-186101 55 323 323 323 137 137 138 460 460 462 6 7 8 9-737274 9-737467 9-737661 9-923098 9-923016 9-922933 9-814176 9-814452 9-814728 10-185824 10-185548 10-185272 54 53 5» 322 323 323 137 138 137 460 460 460 9 10 II 9'737855 9-738048 9-738241 9-922851 9-922768 9-922686 9-815004 9-815280 9-«iSS55 10-184996 10-184720 10-184445 51 50 49 322 322 322 138 137 138 460 458 460 12 '4 9-738434 9-738627 9-738820 9*922603 9-922520 9-922438 9-815831 9-816107 9-816382 10-184169 10-183893 10-183618 48 47 46 322 322 322 138 137 138 460 458 460 '5 i6 '7 9-739013 9-739206 9"739398 9-922355 9-922272 9-922189 9-816658 9-816933 9-817209 10-183342 10-183067 10-182791 45 44 43 322 320 320 138 138 138 458 460 458 ig '9 20 9-739590 9-739783 9739975 9-922106 9-922023 9-921940 9-817484 9-817759 9-818035 10-182516 10-182241 10-181965 42 41 40 322 320 320 13S 138 458 460 458 21 22 »3 9-740167 9'740359 9-740550 9-921857 9-921774 9-921691 9-818310 9-818585 9-818860 10-181690 10-181415 10-181 140 39 38 37 320 318 320 .38 138 140 458 458 458 24 9-740742 9-740934 9-741125 9-921607 9-921524 9-921441 9-819135 9-819410 9-819684 10-180865 10-180590 10-180316 36 35 34 320 3»8 318 138 138 140 458 457 458 27 28 29 30 9-741316 9-741508 9-741699 9-741889 9-921357 9-921274 9-921190 9-921107 9-819959 9-820234 9-820508 9-820783 10-180041 10-179766 10-179492 10-179217 33 32 31 30 320 318 317 138 140 138 458 457 458 / Cosine. Sine. Cotang. Tangent. ' 30 min. to 60 min. 56 degrees. 33 degrees. 30 min. to 60 min. ' Sine. Diff. for 100" Cosine. Diff. for 100" Tangent. Diff. for 100' Cotang. / 3° 3' 32 9741889 9-742080 9742271 9'92iio7 9'92io23 9-920939 g-820783 9-821057 9-821332 10-179217 10-178943 10-178668 30 29 28 318 318 3"8 140 140 138 140 140 140 457 458 457 iJ3 34 35 9742462 9742652 9742842 9-920856 9-920772 9-920688 9-821606 9-821880 9-822154 10-178394 10-178120 10-177846 ^7 26 *5 317 317 3.8 457 457 458 36 37 38 9743033 9743223 9'7434i3 9-920604 9-920520 9-920436 9-822429 9-822703 9-822977 10-177571 10-177297 10-177023 24 23 22 317 317 315 140 140 140 457 457 457 39 40 41 9743602 974379» 9743982 9-920352 9-920268 9-920184 9-823251 9-823524 9-823798 10-176749 10-176476 10-176202 21 20 19 317 317 315 140 140 142 455 457 457 42 43 44 9744171 9744361 9*744550 9-920099 9-920015 9-919931 9-824072 9-824345 9-824619 10-175928 10-175655 10-175381 18 17 16 317 315 315 140 140 142 455 457 457 45 .46 47 9744739 9744928 9745117 9-919846 9-919762 9-919677 9-824893 9-825166 9-825439 10-175107 10-174834 10-174561 15 14 13 315 315 315 140 142 140 455 455 457 48 49 50 9745306 9745494 9745683 9-919593 9-919508 9-919424 9-825713 9-825986 9-826259 10-174287 10-174014 10-173741 12 11 10 313 315 313 142 140 142 455 455 455 51 53 9745871 9746060 974«='48 9-919339 9-919254 9-919169 9-826532 9-826805 9-827078 10-173468 10-173195 10-172922 9 8 7 315 313 313 142 142 140 455 455 455 54 11 9746436 9746«-24 9746812 9-919085 9-919000 9-918915 9-827351 9-827624 9-827897 10-172649 10-172376 10-172103 6 5 4 313 313 312 142 142 142 455 455 455 11 11 9746999 9747187 9747374 9747562 9-918830 9-91874S' 9-918659 9*918574 9-828170 9-828442 9-828715 9-828987 10-171830 10-171558 10*171285 10-171013 3 2 I 313 312 313 14a ■ 143 14a 453 455 453 ' Cosine, Sine. Cotang. Tangent. ' min. to 30 min. 56 degrees. 34 degrees. min. to 80 min. ' Sine. Diff. for 100' Cosine. Diff. for 100' Tangent. Diff. for 100' Cotang. / o I z 9-747562 9747749 9-747936 9-918574 9-918489 9-918404 9-82S987 9-829260 9-829532 10-171013 10-170740 10-170468 60 59 58 312 312 312 142 142 143 455 453 455 3 4 5 9-748123 9-748310 9-748497 9-918318 9-918233 9-918147 9-829805 9-830077 9-830349 10-170195 10-169923 10-169651 57 56 55 312 312 310 142 '43 142 453 453 453 6 7 g 9-748683 9-748870 9-749056 9-918062 9-917976 9-917891 9-830621 9-830893 9-831165 10-169379 10-169107 10-168835 54 53 52 312 310 312 143 142 143 453 453 453 9 lo 11 9-749243 9-749429 9-749615 9-917805 9-917719 9-9J7634 9"83i437 9-831709 9-831981 10-168563 10-168291 10-168019 5' 50 49 310 310 310 '43 142 143 453 453 453 12 '3 9-749801 9-749987 9-750172 9-917548 9-917462 9-917376 9-832253 9-832525 9-832796 10-167747 JO-167475 10-167204 48 47 46 310 308 310 143 '43 '43 453 452 453 15 16 17 9-750358 9750543 9-750729 9-917290 9-917204 9-917118 9-833068 9*833339 9-833611 10-166932 10-166661 10-166389 45 44 43 308 «>o 308 143 143 '43 452 453 452 18 19 20 9-750914 9-751099 9-751284 9-917032 9-916946 9-916859 9-833882 9-834154 9-834425 10-166118 10-165846 10-165575 42 41 40 308 308 308 143 145 '43 453 452 452 452 452 452 21 22 23 9-751469 9-751654 9-751839 9-916773 9-916687 9-916600 9-834696 9-834967 9-835238 10-165304 10-165033 10-164762 39 38 37 308 308 307 '43 '45 '43 24 26 9-752023 9-752208 9752392 9-916514 9-916427 9-916341 9-835509 9-835780 9-836051 10-164491 10-164220 10-163949 36 35 34 308 307 307 145 '43 '45 452 452 452 27 28 29 30 9-752576 9-752760 9-752944 9-753128 9-916254 9-916167 9-916081 9-915994 9-836322 9-836593 9-836864 9'837'34 10-163678 10-163407 10-163136 10-162866 33 32 31 30 307 307 307 '45 '43 '45 452 452 450 y Cosine. Sine. Cotang. Tangent. / 80 min. to 60 min. 55 degrees. 34 degrees. 30 min. to 60 min. t Sine. Diff. for 100° Cosine. Diff. for 100" Tangent. Diff. for 100" Cotang. r 30 32 9753128 9753312 9'753495 9-915994 9-915907 9-915820 9"837i34 9-837405 9-837675 10-162866 10-162595 10-162325 30 29 28 307 305 307 . H5 14s 452 450 45a 33 34 35 9753679 9753862 9754046 9"915733 9-915646 9-915559 9-837946 9-838216 9-838487 10-162054 10-161784 10-161513 27 26 25 305 307 305 145 145 145 450 452 450 36 37 38 9754229 9754412 9754595 9-915472 9-915385 9-915297 9-838757 9-839027 9-839297 10-161243 10-160973 10-160703 24 23 22 305 305 305 145 147 450 450 451 39 40 41 9754778 9754960 9755143 9-915210 9-915123 9'9i5035 9-839568 9-839838 9-840108 10-160432 10-160162 10-159892 21 20 19 303 3°S 305 145 H7 145 450 450 450 42 43 44 9755326 9755508 9755690 9-914948 9-914860 9-914773 9-840378 9-840648 9-840917 10-159622 10-159352 10-159083 18 17 16 303 303 303 H7 145 147 450 448 450 45 46 47 9755872 9756054 9756236 9-914685 9-914598 9-914510 9-841187 9-841457 9-841727 10-158813 10-158543 10-158273 15 14 13 303 303 3°3 145 147 147 450 450 448 48 49 50 9756418 9756600 9756782 9-914422 9'9i4334 9-914246 9-841996 9-842266 9-842535 10-158004 10-157734 10-157465 12 11 10 303 303 302 147 147 147 450 448 450 51 52 ,53 9756963 9757144 9757326 9-914158 9-914070 9-913982 9-842805 9-843074 9-843343 10-157195 10-156926 10-156657 7 302 303 30Z 147 147 147 448 448 448 54 55 56 9757507 9757688 9757869 9-913894 9-913806 9-913718 9-843612 '9-843882 9-844151 10-156388 10-156118 10-155849 6 s 4 302 302 302 147 147 H7 450 448 448 57 58 59 60 9758050 9758230 975841 1 9758591 9-913630 9'9i354i 9'9>3453 9-913365 9-844420 9-844689 9-844958 9-845227 10-155580 10-155311 10-155042 10-154773 3 2 T 300 302 300 148 147 147 448 44X 448 / Cosine. Sine. Cotang. Tangent. ' min. to 30 min. 55 degrees. ■■^ 35 degrees. min. to 30 niin. 1 Sine. Diff. for loo" Cosine. Diff. for 100' Tangent. Diff. for 100' Cotang. / o I 2 9-758591 9-758772 9-758952 9-913365 9-913276 9-913187 9-845227 9-845496 9-845764 10-154773 10-154504 10-154236 60 11 302 300 300 148 148 147 448 447 448 3 4 5 9-759132 9-759312 9-759492 9-913099 9-913010 9-912922 9-846033 9-846302 9-846570 10-153967 10-153698 10-153430 55 300 300 300 148 147 .48 448 447 44S 6 7 8 9-759671 9'7S985» 9-760031 9-912833 9-912744 9-912655 9-846839 9-847108 9-847376 10-153161 10-152892 10-152624 54 S3 5i 300 298 300 148 148 148 448 447 447 9 10 II 9-760211 9-760390 9-760569 9-912566 9-912477 9-912388 9-847644 9-847913 9-848181 10-152356 10-152087 10-151819 5' 5° 49 298 298 298 148 148 148 448 447 447 12 13 '4 9-76074.8 9-760927 9-761106 9-912299 9-912210 9-912121 9-848449 9-848717 9-848986 10-151551 10-151283 10-151014 48 47 46 298 298 298 148 148 150 447 448 447 15 16 17 9-761285 9-761464 9-761642 9-912031 9-911942 9-911853 9-849254 9-849522 9-849790 10-150746 10-150478 10-150210 45- 44 43 298 297 298 148 .48 150 447 447 445 18 19 20 9-761821 9-761999 9-762177 9-911763 9-911674 9-911584 9-850057 9-850325 9-850593 10-149943 10-149675 10-149407 42 41 40 297 297 298 148 ,48 447 447 447 21 22 23 9-762356 9-762534 9-762712 9-911495 9-911405 9-911315 9-850861 9-851129 9-S51396 10-149139 10-148871 10- 148604 39 38 37 297 297 295 150 148 447 445 447 2I 9-762889 9-763067 9-763245 •9-911226 9-911136 9-911046 9-851664 9-851931 9-852199 10-148336 10-148069 10-147801 36 35 34 297 297 295 150 150 150 445 447 445 27 28 29 30 9-763422 9-763600 9-763777 9-763954 9-910956 9-910866 9-910776 9-910686 9-852466 9-852733 9-853001 9-853268 10-147534 10-147267 10-146999 10-146732 33 32 31 30 297 295 29s 150 150 150 445 447 445 ' Cosine. Sine. Cotang, Tangent. ' 30 min. to 60 min. 54 degrees. 35 degrees. 30 min. to 60 min. / Sine. DifE for loo' Cosine, Diff. for 100" Tangent. Diff. for loo*. Cotang, , 3° 31 32 9-763954 9764131 9764308 9"9io686 9-910596 9'9i05o6 9-853268 9'853535 9-853802 10-146732 10 146465 10-146198 30 29 28 295 295 29s 150 150 152 445 +45 445 3! .34 35 .9764485 9764662 976483S 9-910415 9-910325 9-910235 9-854069 9"854336 9-854603 10-145931 10-145664 10-145397 27 26 295 293 295 150 150 152 445 445 445 445 445 445 ■ 3« 37 38 9765015 9765191 9765367 293 293 295 293 293 293 9-910144 9-910054 9-909963 150 152 150 9-854870 9"855i37 9-855404 10-14513C 10-144863 10-144596 24 23 22 39 40 41 9765544 9765720 9765896 9-909873 9-909782 9-909691 9-855671 9-855938 9-856204 10-144329 10-144062 10-143796 ZI 20 »9 152 152 150 445 443 445 4a 43 44 9766072 9766247 9766423 9-909601 9-909510 9-909419 9-856471 9-856737 9-857004 10-1435^9 10-143263 10-142996 18 17 16 292 293 292 152 152 152 443 445 443 45 46 47 9766598 9766774 9766949 9-909328 9-909237 9-909146 9-857270 9"857S37 9-857803 10-142730 10-142463 10- 142 1 97 15 '4 13 293 292 292 152 152 152 445 443 443 48 49 5° 9767124 9767300 9767475 9-909055 9-908964 9-908873 9-858069 9-858336 9-858602 10-141931 10-141664 10-141398 12 II 10 293 292 290 152 152 153 445 443 443 51 5» 53 9767649 9767824 9767999 9-908781 9-908690 9-908599 9-858868 9-859134 9-859400 10-J41132 10-140866 10- 140600 7 292 292 290 152 152 '53 443 443 443 54 55 56 9768173 9768348 9768522 9-908507 9-908416 9-908324 9-859666 9-859932 9-860198 10-140334 10*140068 10-139802 6 5 4 292 290 292 152 153 152 443 443 443 57 58 60 - 9-908233 9-908141 9-908049 9-907958 9-860464 9-860730 9-860995 9-861261 10-139536 10-139270 10-139005 10-138739 3 2 I 9768697 9768871 976904s 9769219 290 290 290 153 153 152 443 442 443 ' Cosine, Sine. Cotang. Tangent, ' min. to 30 min. 1 54 degr ees. 36 degrees. min. to 30 min. ' Sine. Dlflf. for 100' 290 288 290 Cosine. Diff. for 100" Tange It. Dlff. for 100' Cotang. ' o I 2 9-769219 9-769393 9-769566 9-907958 9-907866 9-907774 9-861261 9-861527 9-861792 10-138739 10-138473 10-13S208 60 59 58 '53 153 153 443 44a 443 3 4- 5 9-769740 9-769913 9-770087 9-907682 9-907590 9-907498 9-862058 9-862323 9-862589 10-137942 10-137677 10-137411 57 56 55 288 290 288 153 153 '53 442 443 442 6 7 8 9-770260 9-770433 9-770606 9-907406 9-907314 9-907222 9-862854 9-863119 9-863385 10-137146 10-136S81 10-136615 54 53 5» 288 288 288 '53 153 155 442 443 442 9 lo II 9-770779 9-770952 9-771125 9-907129 9-907037 9-906945 9-863650 9-863915 9-864180 10-136350 10-136085 10-135820 51 5° 49 288 288 288 153 153 155 442 442 442 IZ 13 9-771298 9-771470 9-771643 9-906852 9-906760 9-906667 ■ 9'86444S 9-864710 9-864975 10-135555 10-135290 10-135025 48 47 46 287 288 287 153 15s 153 442 442 442 >5 i6 '7 9-771815 9-771987 9-772159 9-906575 9-906482 9-906389 9-865240 9-865505 9-865770 10-134760 10-134495 10-134230 45 44 43 287 287 287 15s '55 155 442 442 442 i8 19 20 21 22 23 9-772331 9-772503 9-772675 9-906296 9-906204 9-906111 9-866035 9-866300 9-866564 10-133965 10-133700 10-133436 42 4' 40 287 287 287 153 155 '55 442 440 442 9-772847 9-773018 9-773190 9-906018 9-905925 9-905832 9-866829 9-867094 9-867358 10-133171 10-132906 10-132642 39 38 37 285 287 285 '55 155 155 442 440 442 24 9-773361 25 9"773533 z6 9-773704 9-905739 9-905645 9-905552 9-867623 9-867887 9-868152 10-132377 10-132113 10-131848 36 35 34 287 285 285 '57 '55 '55 44° 44» 440 9-905459 9-905366 9-905272 9-905179 9-868416 9-868680 9-868945 9-869209 10-131584 10-131320 10-131055 10-130791 33 32 3' 30 27 28 29 3C 1 9'773«75 9-774046 9-774217 9-774388 285 285 28s '55 157 'S5 440 442 440 ' Cosioe. Sine. Cotang. Tangent. / 30 min. to 60 min. 53 degrees. 36 degrees. 80 mill, to 60 lain. f Sine'. Diir. for 100' Cosine. Diff. for 100' Tangent. Diff. for 100" Cotang. ' 30 3z 9-774388 9'7745S8 9-774729 9-905179 9-905085 9-904992 9-869209 9-869473 9-869737 10-130791 10-130527 10-130263 30 29 28 283 285 283 157 155 157 440 44° 440 440 440 440 33 34 35 9-774899 9-775070 9775^40 9-904898 9-904804 9-9047 1 1 9-870001 9-870265 9-870529 10-129999 10-129735 io-12947'i 27 26 25 285 283 283 283 283 283 157 '55 157 3« 9-775410 9-775580 9-775750 9-904617 9-904523 9-904429 9-870793 9-871057 9-871321 10-129207 10-128943 10-128679 24 23 22 157 157 157 440 440 440 39 40 41 9-775920 9,-776090 9*776259 9'90433S 9-904241 9*904147 9-871585 9-871849 9-872112 10-128415 10-128151 10-127888 21 20 19 283 282 , 283 157 157 157 440 438 440 42 43 44 9-776429 9-776598 9-776768 9-904053 9-903959 9-903864 9-872376 9-872640 9-872903 10-127624 10-127360 10-127097 18 17 16 Z82 283 282 157 158 157 157 158 157 440 438 440 46 47 9-776937 9-777106 9-777275 9-903770 9-903676 9-903581 9-873167 9-873430 9-873694 10-126833 10-126570 10-126306 15 14 13 282 282 282 438 440 438 48 49 5° 9-777444 9-777613 9-777781 9-903487- 9-903392 9-903298 9-873957 9-874220 9-874484 10-126043 10-125780 10-125516 12 11 10 282 280 282 158 157 158 438 440 438 51 5^ 53 9-777950 9-778119 9-778287 9-903203 9-903108 9-903014 9'874747 9-875010 9-875273 10-125253 10-124990 10-124727 7 282 280 280 158 157 158 438 438 440 54 9778455 9-77S624 9-778792 9*902919 9-902824 9-902729 9*S75537 9-875800 9-876063 10-124463 10- 124200 10-123937 6 5 4 282 280 280 158 158 158 438 43S 438 57 58 59 60 9-778960 9-779128 9-779295 9-779463 2-8o 278 280 9-902634 9-902539 9-902444 9-902349 158 158 158 9-876326 9-876589 9-876852 9'877"4 438 438 437 10-123674 10-123411 10-123148 10-122886 3 2 I / Cosine. Sine. Cotang. l^ngent. / min. to 30 min. j ; 63 degrees. ~J F 2 37 degrees* min. to 30 min. / Sine. DIff. for 100" Cosine. DIff. for 100" Tangent. Dia. for 100' 438 438 438 Cotang. t I 2 9-779463 9-779631 9-779798 9-902349 9-902253 9-902158 9*877114 9-877377 9-877640 10*122886 10*122623 10*122360 60 59 58 280 278 280 160 158 158 3 4 5 9-779966 9-780133 9-780300 9-902063 9-901967 9-901872 9-877903 9-878165 9*878428 10*122097 10-121835 10-J21572 11 55 278 278 278 160 If. 437 438 438 6 7 8 9-780467 9-780634 9-780801 9-901776 9-901681 9-901585 9*878691 9-878953 9-879216 10-121309 10-J21047 10-120784 54 53 5* 278 278 278 Ill 158 437 438 437 9 lO II 9-780968 9-7S1134 9-781301 9-901490 9-901394 9-901298 9-879478 9-879741 9-880003 10-120522 10-120259 10-119997 51 50 49 277 278 278 160 160 160 438 437 437 12 •3 '4 9-781468 9-781634 9-781800 9-901202 9-901 106 9-901010 9-880265 9-880528 9-880790 10*119735 10*119472 10-119210 48 277 277 277 160 160 160 438 437 437 ■5 i6 17 9*781966 9-782132 9-782298 9-900914 9-900818 9-900722 9-881052 9-881314 9*881577 10-118948 IO-II8686 10-118423 45 44 43 277 277 277 160 160 160 437 438 437 i8 19 20 9-782464 9-782630 9-782796 9-900626 9-900529 9-900433 9*881839 9*882101 9-882363 10118161 10-117899 10-117637 42 4' 40 277 277 275 162 160 160 437 437 437 9-900337 9-900240 9-900144 9-882625 9*882887 9*883148 10-117375 10-117113 10-116852 39 38 37 21 22 23 9-782961 9-783127 9-783292 277 275 277 162 160 162 437 4.35 437 24' 9*783458 25, 9-783623 26 9-783788 9-900047 9-899951 9-899854 9*883410 9-883672 9*883934 10- 1 16590 10*116328 10-116066 36 35 34 275 275 275 160 162 162 437 437 437 »7' 9"783953 28 9-784118 29 9-784282 30 9-784447 9-899757 9-899660 9*899564 9*899467 9*884196 9*884457 9*884719 9-884980 10-115804 10-115543 10-115281 10-115020 33 32 3' 30 275 273 *75 162 160 162 435 437 435 ' 1 Cosine. Sine. Cotang. Tangent; ' 30 min. to 60 min. 62 degrees. |Dt> 37 degrees. 30 min, to 60 min. / Sine^ Dlff. for lOO* Cosine. Diff. for lOO' Tangent, Diff. for 100' Cotang. / 3° 3' 3" 9-784447 9'7846i2 9-784776 9-899467 9-899370 9-899273 9-884980 9-885242 9-885504 10- I I 5020 10-114758 10- 1 14496 30 29 28 *75 273 275 162 162 162 437 437 435 33 34 35 9-784941 9-785105 9-785269 9-899176 9-899078 9-898981 9-885765 9-886026 9-886288 10-114235 10-113974 10-113712 27 26 25 273 273 273 163 1 6a 162 435 437 435 36 9785433 9"78S597 9-785761 9-898884 9-898787 9-898689 9-886549 9-886811 9-887072 10- 1 1 345 1 10-113189 lo-i 12928 »4 23 22 »73 273 273 162 ,63 162 437 435 435 39 40 41 9-785925 9-786089 9-786252 9-898592 9-898494 9-898397 9-887333 9-8S7594 9-887855 10-112667 10- 1 12406 10- 1 12 145 21 20 '9 273 272 273 ,63 162 163 435 435 435 42 43 44 9-786416 9-786579 9-786742 9-898299 9-898202 9-898104 9-888116 9-888378 9-888639 10-111884 10- 1 1 1622 10-111361 18 17 16 272 272 273 162 163 163 437 435 435 45 46 47 9-786906 9-787069 9-787232 9-898006 9-897908 9-897810 9-888900 9-889161 9-889421 10- 11 I 100 10- 1 10839 10-110579 "5 14 13 272 272 272 .63 163 163 435 433 435 4« 49 50 9-787395 9-787557 9-787720 9-897712 9-897614 9-897516 9-889682 9-889943 9-890204 10-110318 10-110057 10-109796 12 II 10 270 272 272 163 163 .63 435 435 435 5» 5» S3 9-7S7883 9-788045 9-78S208 9-897418 9-897320 9-897222 9-890465 9-890725 9-890986 10-109535 TO- 109275 10-109014 i 7 270 27* 270 X63 163 165 433 435 435 54 9-788370 9-788532 9-788694 9-897123 9-897025 9-896926 9-891247 9-891507 9-8917-68 10-108753 10-108493 IO-I0S232 6 5 4 270 270 270 ,63 163 433 435 433 57 5« 11 9-788856 9-789018 9-789180 9-789342 270 270 270 9-896828 9-896729 9-896631 9-896532 '^5 163 165 9-892028 9-892289 9-892549 9-892810 435 433 435 10-107972 10-107711 10-107451 10-107190 3 2 I 1 Cosine, Sine. Cotang. Tangent. ' min. to 30 min. 52 degrees. 38 degrees. min. to 30 min. / Sine. Diff. for lOo' Cosine. Diff. for 100' Tangent. Diff. for 100' Cotang. o I 2 9789342 9-789504 9789665 9-896532 9-896433 9"89633S 9-892810 9 S93070 9-893331 10-107190 10-106930 10-106669 60; 59' 58 270 268 270 165 163 165 433 435 433 3 4 5 9789827 9789988 9790149 9*896236 9-896137 9-896038 9-893591 9-893851 9-894111 10-106409 10-106149 10-105889 51 56 55 268 268 268 165 165 433 433 435 6 7 8 9790310 9790471 9790632 9-895939 9-895840 9-895741 9-894372 9-894632 9-894892 10-105628 10-105368 10-105108 54 53 268 268 268 165 167 433 433 433 9 10 II 9790793 9790954 9791115 9-895641 9-895542 9-895443 9-895152 9-895412 9-895672 10- 104848 10-104588 10-104328 51; 5° 49 268 268 267 167 433 433 433 12 >3 9791275 9791436 9791596 9'895343 9-895244 9-895145 9-S95932 9-896192 9-896452 10-104068 10-103808 10-103548 48 47, 46^ 268 267 268 165 167 433 4-^3 433 15 16 17 18 '9 20 9791757 9791917 9792077 9-895045 9-894945 9-894846 9-896712 9-896971 9-897231 10-103288 10-103029 10-102769 45; 44' 43I 267 267 267 167 167 432 433 433 9792237 9792397 9792557 9-894746 9-894646 9-894546 9-897491 9-897751 9-898010 10-102509 10-102249 10-101990 4^i 4', 40: 267 267 265 167 167 167 433 432 433 21 22 »3 9792716 9792876 9-793°35 9-894446 9-894346 9-894246 9-898270 9-898530 9-898789 10-1017-30 io'ioi470 10-101211 38' 37, 267 265 267 167 167 167 433 432 433 *4 26 9793195 9-793354 9793514 9-894146 9-894046 9-893946 9-899049 9-899308 9-89956S 10-100951 10-100692 10-100432 36, 35, 34: 265 267 265 167 167 167 432 433 432 27 28 29 30 9793673 9793832 9"79399' 9794150 265 265 265 9-893846 9'89374S 9-893645 9-893544 168 167 168 9-899827 9-900087 9-900346 9-900605 433 433 432 10-100173 10-099913 10-099654 10-099395 33^ 3^ 31. 30 ' Cosine. Sine. Cotiing. Tangent. / 30 min. to 60 inin. 61 degrees. 38 degrees. 30 min. to 60 rain. / S^ine. Diff. for 100" 263 265 265 Cosine, Diff. for lOo" Tangent. Diffi; for 100* Cotang. 3° 31 3» 9-794150 9794308 9-794467 9-S93544 9-893444 9"893343 9-900605 9-900864 9-901124 10-099395 10-099136 10-098876 30; 291 28 167 168 167 432 433 432 33 34 35 9-794616 9-794784 9-79494* 9-.893243 9-893142 9-893041 9-901383 9-901642 9-901901 • 263 263 265 168' 168 168 432 432 432 10-098617 10-098358 10-098099 27 ,26 *5: 36 37 38 9-795 10 J 9-795259 9*795417 9-892940 9-892839 9-892739 9-902160 9-902420 9-902679 10-097840 10-097580 10-097321 24 23 122 263 263 263 168 .67 168 433 432 432 39 4.0 41 9'795S75 9"795733 9-795891 263 263 263 9-892638 9-892536 9-892435 •170 168 168 9'902938 9-903197 9-903456 432 432< 430 10-097062 10-096803 10-096544 21 20' '9.; 42 43 44 9-796049 9-796206 9-796364 9-892334 9-892233 9-892132 9--903714 9-903973 9-904232 10-096286 10-096027 10-095768 i8i 17' 16 262 263 262 j68 168 170 i« -17P 43* 43^a 432 47 9-7965ZI 9-796.679 9-796836 9-892030 9-891929 9-891827 9-904491 9-904750 9-905C08 10-095509 10-095250 10-094992 15' ^4 ^3 263 262 *6,2 432 430 432 432 432 430 48 49 50 9-796993 9-797150 9-797307 9*891726 9-891624 9-891523 9-905267 9-905526 9-905785 10-094733 10-094474 10-094215 12' 11 10 262 2^2 2fo 17D i6« 170 51 53 9"7974«4 9-797feit 9*797777 9-891421 9'89i3i9 9-891217 9-906043 9-906302 9-906560 9*906819 9-907077 9-907336 10-093957 10-0936(98 10-093440 1 7 262 2*0 •17c J7e 170 170 170 ■170 432 430 432 S4 S5 .56 9-797934 9-798091 9-798247 9-891115 9*89ioi3 9" 8909 1 1 „ 1 -1 262 a6D 2'6o 260 430 432 430 10-093181 10-092923 10-092664 6, 5' 4 57 S8 I' 00 9-798403 9-798560 9-798716 9-798^72 9-890809 §•890707 9-890605 9-890503 -170 170 ■170 9-907594 9-907855 9-9081 II 9-908369 432 430 430 10-092406 10-092147 10-0918,89 10-091631 3-: 21 ij 0; / CosiQe. , Sine. Cptang. . Tangent. A min. to 30 min. 51 degrees. jl 39 degrees. rain, to 30 min. Sine. Dia: for 100' Cosine. Diff. for 100' I'iingent. Diff. for 100' Cotang. ' o I 9-798872 9-799028 9-799184 9-890503 9-890400 9-890298 9-908369 9-908628 9-908886 10-091631 10-091372 10-09 1 1 14 60 59 58 260 260 258 172 170 172 432 430 430 3 4 5 9-799339 9799495 9-799651 9-890195 9-890093 9-889990 9-909144 9-909402 9-909660 10-090856 10-090598 10-090340 11 55 260 260 258 170 172 170 430 430 430 6 7 8 9-799806 9-799962 9-8001 17 9-889888 9-889785 9-889682 9-909918 9-910177 9-910435 10-090082 10-089823 10-089565 54 53 5» 260 258 258 172 172 172 432 430 430 9 lo II 9-800272 9-800427 9-800582 9-889579 9-889477 9-889374 9-910693 9-910951 9-911209 10-089307 10-089049 10-088791 51 50 49 258 258 258 170 172 172 43° 430 430 IZ 13 •4 9-800737 9-800892 9-801047 9-889271 9-889168 9-889064 9-911467 9-911725 9-911982 10-088533 10-088275 10-088018 48 47 46 258 258 257 172 173 172 430 428 43° 17 9-801201 9-801356 9-801511 9-888961 9-888858 9-888755 9-912240 9-912498 9-912756 10-087760 10-087502 10-087244 45 44 43 258 258 »57 172 172 173 430 430 430 ig '9 20 9-801665 9-801819 9-801973 9-888651 9-888548 9-888444 9-913014 9-913271 9-913529 10-086986 10-086729 10-086471 42 41 40 257 257 258 172 173 172 428 430 430 21 »3 9-802128 9-802282 9-802436 9-888341 9-888237 9-888134 9-913787 9-914044 9-914302 10-086213 10-085956 10-085698 39 38 37 257 257 *5S 173 172 173 428 430 43° 24 9-802589 9-802743 9-802897 9-888030 9-887926 9*887822 9-914560 9-914817 9"9'5075 io'o8544o 10-085183 10-084925 36 35 34 257 257 »55 173 173 >73 428 430 428 430 428 428 »7 28 29 30 9-803050 9-803204 9-803357 9-803511 9-887718 9-887614 9-887510 9-887406 9-915332 9-915590 9-915847 9-916104 10-084668 10-084410 10-084153 10-083896 33 3^ 3' 30 257 »55 257 '73 173 173 ' Cosine. Sine. Cotang. Tangent. 1 30 min. to 60 min. 60 degrees. 39 degrees. 30 min. to 60 min. ' Sine. Dlte. for 100' Cosine. Diff. for 100" Tangent. Diff. for 100" Cotang. - 3° 3' 3Z 9-80351I 9-803664 9-«o3gi7 9-916104 9-916362 9*916619 10-083896 10-083638 10-083381 30 29 28 *55 *55 255 9-887302 9-887198 173 173 175 430 428 43° 33 34 35 9-803970 9*8o4iz3 9'8o4276 9-887093 9-886989 9-886885 9-916877 9-917134 9-917391 10-083123 10-082866 10-082609 27 26 25 255 255 253 173 173 '75 428 428 428 36 37 38 9-8044.28 9-80458,1 9-804734 9-886780 9-886676 9-886571 9-917648 9-917906 9-918163 10-082352 10-082094 10-081837 24 23 22 255 255 253 ■'73 '75 '75 43° 428 428 39 40 41 9-804886 9-805039 9-805191 9-886466 9-886362 9-886257 9-918420 9-918677 9-918934 10-081580 10-081323 10-081066 21 20 19 255 253 253 '73 '75 175 428 428 428 42 43 44 9-805343 9-805495 9-805647 9-886152 9-886047 9-885942 9-919191 9-919448 9-919705 10-080809 10-080552 10-080295 18 17 16 253 253 253 '75 '75 175 428 428 428 45 46 47 9-805799 9-805951 9-806103 9-885837 9-885732 9-885627 9-919962 9-920219 9-920476 10-080038 10-079781 10-079524 15 14 13 253 253 252 '75 175 175 428 428 428 48 49 5° 9-806254 9-806406 9-806557 9-885522 9-885416 9-885311 9-920733 9*920990 9-921247 10-079267 10-079010 10-078753 12 II 10 253 252 253 '77 175 177 428 428 427 5' 5* S3 9-806709 9-806860 9-807011 9-885205 9-885100 9-884994 9-921503 9-921760 9-922017 10-078497 10-078240 10-077983 9 8 7 252 252 253 '75 177 '75 428 428 428 54 55 56 9-807163 9-807314 9-807465 9-884889 9-884783 9-884677 9-922274 9-922530 9-922787 10-077726 10-077470 10-077213 6 5 4 252 252 250 177 177 '75 427 428 428 57 S8 60 9'8076i5 9-807766 9-807917 9-808067 9-884572 9-884466 9-884360 9-884254 9-92304* 9-923300 9-923557 9-923814 10-076956 10-076700 10-076443 10-076186 3 2 I 252 252 250 '77 177 ■ '77 427 428 428 ' Cosine. Sine. Cotang. Tangent. ' ' 1 rain, to 30 min. 50 degrees. ¥ 5 40 degrees. min. to 30 min. / Sine. DIff. for 100' Coaine. Diff. for 100' Tangent. Diff. for lOo' Cotang. •' o I 2 9 808067 9-808218 9-808368 9-884254 9-884148 9-884042 9-923814 9-924070 9-924327 10-076186 10-075930 10-075673 60 59 58 252 250 252 177 177 177 427 428 427 3 4 5 9-808519 9-808669 9-808819 9-883936 9-883829 9-883723 9-924583 9-924840 9-925096 10-075417 10-075160 10-074904 11 55 250 250 250 178 177 177 428 427 427 6 7 8 9-8oiS969 9-809119 9-809269 9-883617 9-883510 9-883404 9-925352 9-925609 9-925865 10-074648 10-074391 10-074135 54 53 250 250 250 250 248 250 17S 177 178 428 427 428 - 9-883297 9-883191 9-883084 9-926122 9-926378 9-926634 10-073878 10-073622 10-073366 51 5° 49: 9 lO II 9-8094I9 9-809569 9-809718 177 .78 178 427 427 427 12 >3 •4 '7 9-809868 9-810017 9-810167 9-882977 9-882871 9-882764 9-926890 9-927147 9-927403 ic-073110 10-072853 10-072597 48: 47, 46 248 250 248 248 248 248 177 178 178 178 178 176 178 iSo 178 428 427 427 9-810316 9-810465 9-8 106 14 9-882657 9-882550 9-882443 9-927659 9-927915 9-928171 10-072341 10-072085 10-071829 45 44 43 427 427 427 428 427 427 i8 •9 20 9-810763 9-810912 9-811061 9-882336 9-882229 9882121 9-928427 9-928684 9-928940 10-071573 10-071316 10-071060 42 41 40 248 248 248 247 248 247 21 22 23 9'8ii2io 9-811358 9-S11507 9-882014 9-881907 9-881799 9929196 9-929452 9-929708 iG-070804 10-070548 10-070292 39: 178 180 17S 427 427 427 9-881692 9-881584 9-881477 9-929964 9-930220 9-930475 10-070036 10-069780 10-069525 36: 35 34 24 9-811655 25! 9'8ii8o4 26 9-811952 248 247 247 180 178 180 427 425 427 9-881369 9-881261 9-881153 9-881046 9-930731 9-930987 9-931243 9-931499 10-069269 10-069013 10-068757 10-068501 33. 3,, 3'' 30'. 27 9-812100 28| 9-812248 zg 9-812396 30 9-812544 i *47 i 247 ] Z47 180 180 17S 427 427 427 ' 1 Cosine. Sine. Cofdiig. j Tangent. ' 30 min. to 60 min. 1 49 degrees. 1 40 degrees. 30 min. to 60 min. 1 Sine. DifE for 100" Cosine, Diff. for 100" Tangent. DifE for ICO* Cotang. '• 3° 31 3Z 9-812544 y8 12692 9--8 12840 9-881046 9-88093S 9-880830 9-931499 9-931755 9-932010 10-068501 10-068245 10-067990 30 29 2Si 247 247 247 180 180 180 427 425 427 33 34 35 9-812988 9-813135 9-813283 9-880722 9-880613 9r88o505 9-932266 9-932522 9-932778 10-067734 10-067478 10-067222 ^5 245 247 245 182 180 180 427 427 425 36 9-8 1 3430 9-813578 9-813725 9-880397 9-880289 9-880180 9-933033 9-933289 9'93354'S 10-066967 10-066711 10-066455 23; 22 247 245 245 180 182 180 427 427 425 39 4.0 41 9-813872 9-814019 9-8141*6 9-880072 9-879963 9-879855 10-066200 10-065944 10-065689 21 20; 19 245 245 245 182 180 182 9-933800 9-934056 9-934311 427 425 427 42s 427 425 427 425 427 42 43 44 9-814313 9-8144*0 9-814607 9-879746 9-879637 9-879529 9'934567 9-934822 9-93507^ 10-065433 10-065178 10-064922 18 17 16 245 245 243 182 180 182 46 47 9-814753 9-814900 9-815046 245 a43 445 9-879420 9-879311 9-879202 i8a 1 8a 182 9-935333 9-935589 9-935844 10-064667 10-064411 10-064156 15 14 13 48 49 5° 9-815 193 9-815-339 9-815485 243 243 245 9-879093 9-S78984 9-878875 1 82 182 l22 9-936100 9-936355 9-936611 425 427 42-5 10-063900 10-063645 10-0633,89 ■12 11 lO 51 53 9-815632 9-815778 9-815924 243 243 24a 9-878766 9-878656 9-878547 ,83 182 182 9-936866 9-937121 9-937377 425 427 42-5 10-063134 10-062879 10-062623 i 7 54 9-816069 9-816215 9-8163*1 243 243 243 9-87843.8 9-878325 9-878219 183 182 183 9-937632 9-937887 9-938142 425 425 427 10-0623*8 10-062113 10-061858 6 5 4 57 58 59 9-S16507 9-816652 9-816798 9-816943 242 243 242 9-878109 9-877999 9-877890 9-877780 183 182 183 9-938398 9-938653 9-938908 9-939163 425 425 425 10 061602 10-061347 10-061092 10-060837 3 2 I ' Cosine. Sine. Cotang. Tangent. '. min. to 30 rain. 49 degrees. 1 41 degrees. | rain, to 30 min. / Sine. Diff. for 100' 242 242 243 Cosine. Diff. for lOO' Tangent. Diff. for 100' Cotang. ' o I 2 9-816943 9-817088 9-8I7Z33 9-877780 9-877670 9-877560 9-939163 9-939418 9-939673 10-060837 10-060582 10-060327 60 It 183 183 425 42s 425 3 4 5 9-817379 9-817524 9-817668 9877450 9-877340 9-877Z30 9-939928 9-940183 9-940439 10-060072 10-059817 10-059561 11 55 242 240 242 183 183 183 425 427 425 6 7 8 9-817813 9-817958 9-818103 9-877120 9-877010 9-876899 9-940694 9-940949 9-941204 10-059306 10-059051 10-058796 54 53 5^ 242 242 240 183 .85 183 425 425 425 9 lO II 9-818247 9-818392 9-818536 9-876789 9-876678 9-876568 9-941459 9-941713 9-941968 10-058541 10-058Z87 10-05803Z 5« 50 49 242 240 242 185 .83 185 423 425 425 IZ •4 9-818681 9-818825 9-818969 9-876457 9-876347 9-876236 9-942223 9-942478 9-942733 10-057777 10-057522 10-057267 48 47 46 240 240 240 185 185 425 425 425 15 16 '7 9-819113 9-819257 9-819401 9*876125 9-876014 9-875904 9-942988 9'943»43 9-943498 10-057012 10-056757 10-056502 45 44 43 240 240 240 240 238 240 185 183 185 425 425 423 18 '9 20 9-819545 9-819689 9-819832 9-875793 9-875682 9-875571 9-94375Z 9-944007 9-944262 10-056248 10-055993 10-055738 4Z 41 40 185 187 425 425 425 zz 23 9'8i9976 9-820120 9*8zoz63 9"875459 9-875348 9-875237 9'9445I7 9-944771 9-9450Z6 10-055483 10-055229 10-054974 39 38 37 240 238 238 185 185 423 425 425 »4 z6 9-820406 9-820550 9-820693 9-875126 9-875014 9-874903 9-945281 9'945535 9-945790 10-054719 10-054465 10-054210 36 35 34 240 238 238 187 185 187 423 425 425 Z7 28 Z9 9-820836 9-820979 9-821122 9-821265 Z38 Z38 9-S74791 9-874680 9-874568 9-874456 185 187 187 9-946045 9-946299 9-946554 9-946808 423 425 423 10-053955 10-053701 10-053446 10-05319Z 33 32 3» 30 ' Cosine. Sine. Cotang. Tangent. / 30 min. to 60 min. 48 degrees. 41 degrees. 30 mill, to 60 min. ' Sine. Dlff. for 100' Cosine. 9-874456 9-874344 9-874232 Diff. for ico' Tangent. Dlff. for 100* Cotang. 1 3° 3' 32 9-821265 9-821407 9-821550 9-946808 9-947063 9-947318 10-053192 10-052937 10-052682 30 29 28 237 238 238 187 187 185 425 425 423 33 34 35 9-821693 9-821835 9-821977 9-874121 9-874009 9-873896 9-947572 9-947827 9-948081 10-052428 10-052173 10-051919 27 26 25 237 237 238 187 188 .87 425 423 423 36 37 38 9-822120 9-822262 9-822404 9-873784 9-S73672 9-873560 9-948335 9-948590 9-948844 10-051665 10-051410 10-051156 24 23 22 237 237 237 187 187 187 188 187 188 425 423 425 39 40 4' 9-822546 9-822688 9-822830 237 237 237 9-873448 9-873335 9-873223 9-949099 9'949353 9-949608 423 425 423 10-050901 10-050647 10-050392 21 20 »9 42 43 44 9-822972 9-823114 9-823255 237 236 237 9-873110 9-872998 9-872S85 187 188 188 9-949862 9-950116 9950371 423 425 423 10-050138 10-049884 10-049629 18 17 16 46 47 9-823397 9-823539 9-823680 237 235 235 9-872772 9-872659 9-872547 188 187 188 188 188 188 190 188 188 9-950625 9-950879 9-951133 423 423 425 10-049375 10-049121 10-048867 '5 14 >3 48 49 5° 9-823821 9-823963 g-824104 237 235 235 9-872434 9-872321 9-872208 9-951388 9-951642 9-951896 423 423 423 10-048612 10-048358 10-048104 12 11 10 51 5* 53 9-824245 9-824386 9-824527 235 235 235 9-872095 9-871981 9-871868 9-952150 9'9S2405 9-952659 425 423 423 423 423 423 10-047850 10-047595 10-047341 9 8 7 54 55 56 9-824668 9-824808 9-824949 233 235 ■ 235 9-871755 9-871641 9-871528 190 188 190 188 190 190 9-952913 9-953167 9-953421 10-047087 10-046833 10-046579 6 5 4 57 9'S»509° 58 9-825230 59 9"«»537i 60 9*8255 1 1 9-871414 9-871301 9-871187 9-871073 9-953«75 9-953929 9-954183 9-954437 10-046325 10-046071 10-045817 10-045563 3 2 1 233 23s 23-3 423 423 423 ' 1 Cosine. Sine. Cotang. Tangent. / niin. to 30 min. | 48 degrees. J 42 degrees. min, to 30 min. ' Sine. DifT. for 100' 233 233 233 Cosine. Diff. for 100' Tangent. Diff. for 100' Cotang. '1 o I 2 9'g255ii 9-825651 9-825791 9-871073 9-870960 9-870846 9'954437 9954691 9-954946 10-045563 10-045309 10-045054 60 59 58 188 190 190 423 425 423 3 4 5 6 7 g 9-825931 9-826071 9-826211 9-870732 9-g7o6i8 9-870504 9-955200 9"95545+ 9-955708 10-044800 10-044546 10-044292 55 233 »33 »33 190 190 190 423 423 422 9-826351 9-S26491 9-826631 9-g70390 9-g70276 9-g70i6i 9-955961 9-956215 9-956469 10-044039 10-043785 10-043531 54 53 52 233 233 232 190 192 190 423 423 423 9 lo II 9-826770 9-826910 9-827049 9-870047 9-g69933 9-869818 9-956723 9-956977 9-957231 10-043277 10-043023 10-042769 51 50- 49; 233 232 233 190 192 190 423 423 423 12 13 9-827189 9-827328 9-827467 9-869704 9-869589 9-869474 9"95748S 9"957739 9'957993 10-042515 10-042261 10-042007 48 47! 46J 232 232 232 192 192 190 4=^3 423 423 15 16 17 9-827606 9-g27745 9-8278g4 9-869360 9-869245 9-869130 9-958247 9-95S500 9-958754 10-041753 10-041500 10-041246 45 44 43 232 232 232 192 192 192 422 423 4^3 ig 19 zo 9-828023 9-828162 9-828301 232 232 230 9-869015 9-868900 9-868785 192 192 192 9-959008 9-959262 9-959516 423 423 422 10*040992 10-040738 10-040484 42 41 40 21 22 23 9-828439 9-82857« 9-828716 9-868670 9-868555 9-868440 9-959769 9-960023 9-960277 10-04023 1 10 039977 10-039723 39 38' 37; 232 230 232 192 192 193 423 423 422 24 9-828855 9-828993 9-829131 9-868324 9-868209 9-868093 9-960530 9-960784 9-961038 10-039470 10-039216 10-038962 36i 35 34 230 230 230 192 193 192 4*3 423 423 27 28 29 30 9-829269 9-829407 9-829545 9-829683 9*867978 9-867862 9-867747 9-867631 9-961292 9-961545 9-961799 9-962052 10-038708 10-038455 10-038201 10-037948 33 32 31 30 230 230 230 193 192 193 422 423 422 ' Cosine. Sine. Cotang. Tangent. / 30 min. to 60 min. 47 degrees. 42 degrees. i ? 80 min. to 60 min. 1 . Sine. Dtff. . for 100* Cosine. Diff. for 100" Tangent, Dtff. for 100" Cotang. / 3' 3 = 35 9-829683 9-829821 9-829959 9-S67631 9-867515 9-867399 9-962052 9-962306 9*962560 - 10-037948 1 10-037694 10-037440 30 ^? 28 230 230 230 193 193 193 423 423 422 33 34 35 9-830097 9-830234 9-83037a 228 230 228 9-867283 9-867167 9-867051 '93 193 193 9-962813 9-963067 9-963320 4»3 422 423 10-0371:87 10-036933 10-036680 27 26 ^5 36 37 38 9-830509 9-830646 9-830784 9-866935 9-866819 9-866703 9-963574 9-963828 9-964081 10-036426 10-036172 10-035919 ^4 23 22 228 230 22« 193 193 ^95 423 422 423 39 40 41 9-830921 9-83 105-8 9-831195 9-866586 9-866470 9-866353 9-964335 9-964588 9-964842 10-035665 10-035412 10-035158 21 20 19 228 228 228 193 195 193 422 423 422 4* 43 44 9-831332 9-831469 9-831606 9-866237 9-866120 9-866004 9-965095 9-965349 9-965602 10-034905 10-034651 10-034398 18 17 16 ' 228 228 227 195 193 195 423 422 422 11 47 9-831742 9-831879 9'8320i5 9-X65887 9-865770 9-865653 9-965855 9-966109 9-966362 10-034145 10-033891 10-033638 15 14 .13, 228 227 228 19s 195 195 423 422 4*3 48 49 5° 9-832152 9-832288 9-832425 227 228 227 5-865536 9-865419 9-865302 195 195 195 9-966616 9-966869 9-967123 422 423 422 10-033384 10-033131 10-032877 12 11'; 10' 51 53 9-832561 9-832697 9-832833 9r865i85 9-865068 9-864950 9-967376 9-967629 9-967883 • 10-032624 10-032371 10-032117 9' 8; 7 227 227 227 195 197 195 195 197 195 422 423 422 54 55 56 9-832969 9-833105 9-83324] 9-864833 9-8.64716 9-864598 9-968136 9-968389 9-96S643 10-031864 10-031611 10-031357 6. 5' 4 227 227 227 422 423 422 57 58 60 9-833377 9-833512 9-83^648 9-833783 9-864481 9-864363 9-864245 9-864127 9-968896 9-969149 9-969403 9-969656 10-031104 10-030851 10-030597 10-030344 3 2 I; 225 227 225 197 197 197 422 423 422 / Cosine; Sine. Cotang. Tangent. / . min. to 30 min. 47 degrees. 43 degrees. min. to 30 min. f Sine. Dlflf. for JOO* Cosine. Diir. for 100' Tangent. Diff. for 100' Cotang. 1 o I z 9-833783 9-833919 9-83405+ 9-864127 9-864010 9-863892 9-969656 9-969909 9-970162 10-030344 10-030091 10-029838 60 59 58 227 225 225 195 197 197 422 422 4*3 3 4 S 9-834189 9-834325 9-834460 9-863774 9-863656 9-863538 9-970416 9-970669 9-970922 10-029584 10-029331 10-029078 57 56 55 227 225 225 197 197 198 422 422 422 6 7 8 9'834S95 9-834730 9834865 225 225 223 9-863419 9-863301 9-863183 197 197 198 9-971175 9-971429 9-971682 423 422 422 10-028825 10-028571 10-028318 54 53 5» 9 10 II 9-834999 9-835134 9-835269 9-863064 9-862946 9-862827 9-971935 9-972188 9-972441 10-028065 10-027812 10-027559 51 50 49 225 225 .223 197 198 197 422 422 423 12 13 »4 9-835403 9-835538 9-835672 9-862709 9-862590 g-862471 9-972695 9-972948 9-973201 10-027305 10-027052 10-026799 48 47 46 225 223 225 198 198 197 422 422 422 15 16 •7 9-835807 9-835941 9-836075 9-862353 9-862234 9*862115 9"9734S4 9-973707 9-973960 10-026546 10-026293 10-026040 45 44 43 223 223 223 198 198 198 422 422 422 ig 19 20 9-836209 9-836343 9-836477 9-861996 9-86x877 9-861758 9-974213 9-974466 9-974720 10-025787 10-025534 10-025280 42 41 40 223 223 223 198 198 200 422 423 422 21 22 23 9-836611 9-836745 9-836878 9-861638 9-861519 9-861400 9"974973 9-975226 9'975479 10-025027 10-024774 10-024521 39 38 37 223 222 223 198 198 200 422 422 422 2+ 26 9-837012 9-837146 9-837279 223 222 222 9-861280 9-861161 9-861041 198 200 198 9-97573* 9'975985 9-976238 422 422 422 10-024268 10-024015 10-023762 36 35 34 *7 28 29 30 9-837412 9-837546 9-837679 9-837812 223 222 222 9-860922 9-860802 9-860682 9-860562 200 200 200 9-976491 9-976744 9-976997 9-977250 422 422 422 10-023509 10-023256 10-023003 10-022750 33 32 31 30 ' Cosine. Sine. Cotang. Tangent, ' 30 min. to 60 min. ^ 46 degrees. J 43 degrees. 30 min. to 60 min. ■ -' Sine. Dift for 100' Cosine. Diff. for 100' Tangent. Diff. for 100' Cotang. - 3c 32 9-837811 9-SJ794S 9-838078 9-860562 9-860442 9-S60322 9-977250 9-977503 9-977756 10-022750 10-022497 10-022244 30 29 28 222 222 22a 200 200 ZOO 42Z 422 4ZZ 33 34 35 9-838211 9-838344 9-838477 9-860202 9-860082 9-859962 9-978009 9-978262 9-978515 10-021991 10-021738 10-021485 *5 222 222 222 ZOO 200 ZOO 422 422 422 36 37 38 9-838610 9-838742 9-838875 9-S59842 9-859721 9-859601 9-978768 9-979021 9-979274 10-021232 10-020979 10-020726 24 Z3 22 220 222 220 202 200 20Z 422 422 422 39 40 4> 9-839007 9-839140 9-839272 9-859480 9-859360 9-859239 9-979527 9-979780 9-980033 10-020473 10-020220 10-019967 ZI 20 19 222 Z20 220 200 202 200 42Z 422 4ZZ 4a 43 44 9-839404 9-839536 9-839668 9-859119 9-858998 9-858877 9-9S0286 9-980538 9-980791 10-019714 10-019462 10-019209 18 17 16 ZZO 220 220 20Z 202 Z02 420 422 422 47 9-839800 9-S39932 9-840064 9-858756 9-858635 9-858514 9-981044 9-981297 9-981550 10-018956 10-018703 re-018450 J5 14 13 220 220 J20 202 202 202 422 422 422 48 49 5° 9-840196 9-840328 9-840459 9-858393 9-858272 9-858151 9-981803 9-982056 9-982309 10-018197 10-017944 10-017691 iz II 10 420 zi8 220 202 20Z 203 422 422 4Z2 S3 9-S40591 9-840722 9-840854 9-858029 9-857908 9-857786 9-982562 9-982814 9-983067 10-017438 10-017186 10-016933 9 8 7 2l8 220 218 20Z 203 202 420 422 422 54 55 56 9-840985 9-841116 9-841247 9-857665 9-857543 9-857422 9-983320 9-983573 9-983826 10-016680 10-016427 10-016174 6 S 4 218 218 ai8 203 202 Z03 42Z 42Z 422 57 58 60 9-841378 9-841509 9-841640 9-841771 9-857300 9-857178 9-857056 9-856934 9-984079 9-984332 9-984584 9-984837 10-015921 10-015668 10-015416 10*015163 3 2 I 2l8 218 218 203 203 203 42Z 420 422 ' Cosine. Sine. Cotang. Tangent. ' min. to 30 min. 46 degrees. 44 degrees. min. to 30 min. / Sine. Diff. for 100' Cosine. Diff. for 100' Tangent. Diff. for 100" Cotang. ' o 1 2 9-841771 9*841902 9-842033 9-856934 9-856«i2 9-856690 9-984837 9-985090 9-985343 10-015163 10-014910 10-014657 60 59 58 218 218 217 203 203 203 422 422 422 3 4 5 9-842163 9-842294 9-842424 9-856568 9-856446 9-856323 9-985596 9-985848 9-986101 10-014404 10-014152 10-013899 57 56 55 218 217 218 203 205 203 420 422 422 6 7 , 8 9-842555 9-842685 9-842815 9-856201 9--856078 9-«55956 9-986354 9-986607 9-986860 10-013646 10-013393 10-013140 54 53^ 52 217 217 218 205 203 205 422 422 420 9 lo II 9-842946 9-S43076 9-843206 9-855833 9-855711 9-855588 9-987112 9-987365 9-987618 10-012888 10-012635 10-012382 51 5° 49 217 217 217 203 205 205 422 422 422 12 '3 •4- 9-843336 9-843466 9-843595 9-855465 9-855342 9-855219 9-987871 9-988123 9-988376 10-012129 10-011877 10-011624 48! 47, 46 217 215 217 205 205 205 420 422 422 I'l I? 9-843725 9-843855 9-843984 9-855096 9-854973 9-854850 9-988629 9-988882 9-989134 10-011371 10-011118 10-010866 45 44: 43{ 217 215 217 205 205 205 422 420 422 i8 '9 9-844114 9-844243 9-844372 9-854727 9-854603 9-854480 9-989387 9-989640 9-989893 10-010613 10-010360 10-010107 42; 41; 40; 215 215 217 207 205 207 422 422 4ZO 21 22 23 9-844502 9-844631 9-844760 9-854356 9-854233 9-854109 9-990145 9-990398 9-990651 10-009855 10-009602 10-009349 39i 37; 215 215 215 20.5 207 205 422 4«a 420 24 26 9-844889 9-845018 9-845147 9-853986 9-853862 9-853738 9-990903 9-991156 9-991409 10-009097 10-008844 10-008591 36! 35- 34 215 215 215 207 207 207 422 422 422 27 23 29 30 9-845276 9-«454o5 9'845533 9-845662 9-853614 9-853490 9-853366 9-853242 9-991662 9-991914 9-992167 9-992420 10-008338 10-008086 10-007833 10-007580 33 32 31 30 215 215 215 207 207 207 420 422 422 / Coaine. Sine. Cotang. Tangent. ' 30 min. to 60 min. .46 degrees. 44 degrees. 30 min. to 60 min. ' Sine. Diff. for 100" Cosine. Diff. for 100" Tangent, Diff. for 100" Cotang. ' 3° 3' 32 9*845662 9*845790 9*845919 9*853242 9*853118 9*852994 9*992420 9*992672 9*992925 'I0-.007580 ,10-007328 10*007075 3° 29 28 f 213 215 213 207 207 208 420 422 422 33 34 35 9*846047 9*846175 9*846304 9'852869 9*852745 9*852620 9*993178 9'99343' 9*993683 10-006822 10-C06569 10-006317 27 26 25 213 215 213 207 208 207 422 420 422 36 37 38 9*846432 9*846560 9*846688 9*852496 9*852371 9-852247 9-993936 9-994189 9-994441 10*006064 10*005811 10005559 24 23 22 213 213 213 208 207 208 422 420 422 39 40 41 9*846816 9-846944 9*847071 9*852122 9*851997 9*851872 9-994694 9"994947 9*995199 10*005306 10-005053 10-004801 21 20 19 213 212 213 208 208 208 422 420 422 42 43 44 9*847199 9*847327 9*847454 9*851747 9*851622 9*851497 9*995452 9*995705 9'995957 10*004548 10*004295 10*004043 18 17 16 213 212 213 208 208 208 422 420 422 45 46 47 9*847582 9*847709 9*847836 9*851372 9*-85i246 9*851121 9*996210 9*996463 9*996715 10*003790 10*003537 10*003285 15 H 13 212 212 213 210 208 208 422 420 422 48 49 50 9*847964 9*848091 9*848218 9-850996 9*850870 9*850745 9-996968 9*997221 9*997473 10-003032 10*002779 10*002527 ,12 11 -lO 212 212 212 210 208 210 422 420 422 51 52 53 ,9*848345 9*848472 9*848599 9*850619 9*850493 9*850368 9-997726 9-997979 9-998231 10*002274 10*002021 10*001769 ■ 9 8 7 212 212 212 210 208 2IO 210 210 210 422 420 422 54 9*848726 9*848852 9*848979 9*850242 9*850116 9*849990 9-998484 9-998737 9-998989 10*001516 10*001263 10*001011 6 5 4 210 212 212 ,422 420 422 11 59 60 9*849106 9*849232 9*849359 9-849485 9*849864 9*849738 9*849611 9*849485 9-999242 9"999495 9-999747 10-000000 10*000758 10-000505 10*000253 10*000000 3 2 1 0. i 210 212 210 210 212 210 422 420 422 '. Cosine. Sine. Cotang. Tangent. / Tiiin. to 80 min. '_ 45 degrees. degrees. Sine. ' 0' 6' 12' 18" Z4' » o I z — 00 6*4637z6 6-764756 5-463726 6-505119 6-785945 5-764756 6- 542907 6-806149 5-940847 6-577669 6-825454 6-065786 6-609854 6-843937 59 58 57 3 4 5 6-940847 7-065786 7-16Z696 6-955088 7-076510 7-171296 6-968876 7-086975 7-179729 6-982240 7-097194 7-188002 6-995Z05 7-107179 7-1961Z0 56 55 54 6 7 8 7-Z4IS77 7-308824 7-366816 7-249056 7-314984 7-372211 7-256118 7-321058 7-377540 7-263066 7-327049 7-382804 7-269906 7-332958 7-388005 53 5* 51 9 lo II 7-417968 7-463726 7-505118 7-422767 7-468047 7-509048 7-427513 7-472326 7-512943 7-432209 7-476563 7-516804 7-436853 7-480759 7-520630 50 49 48 IZ '3 H 7-542906 7-577668 7-609853 7-546511 7-580996 7-612944 7-550085 - 7-584*99 7-616013 7-553630 7-587577 7-619061 7-557'47 7-590830 7-622087 47 46 45 15 16 17 7-639816 7-667845 7-694173 7-642702 7-670550 7-696720 7-645568 7-673240 7-699253 7-648416 7-675912 7-701770 7-651245 7-678568 7-704274 44 43 4» ig 19- 20 7-718997 7-742478 7-764754 7-721403 7-744757 7-766970 7-723795 7-7470Z5 7-769075 7-726175 7-749281 7-771220 7-728542 7-751526 7-773354 41 40 39 ZI zz Z3 7-785943 7-806146 71825451 7-788006 7-8081 15 7-827335. 7-790059 7-810076 7-829211 7-792103 7-812028 7-S31079 7-794137 7-813971 7-832939 38 36 Z4 7-843934 7-861662 7-878695 7-84*740 7-863396 7-880362 7-847538 7-865123 7-882023 7-849329 7-866843 7-883678 7-851112 7-868556 7-885326 35 34 33 Z7 z8 Z9 7-895085 7-910S79 7-9Z6119 7-896691 7-912428 7-927614 7-898290 7-913970 7929104 7-899884 7-915508 7-930588 7-90I47* 7-917040 7-932068 32 31 30 ' 1- 60" 1 54' I 48' 42' 36' ' Cosine. 89 degrees. degrees. Snie. . 30- 36' 42' 48" 54' 60' ' o I 2 6"i62696 6-639817 6-g6i666 6-241877 6-667846 6-878699 6-30S824 6-694175 6-895090 6-366816 6-718999 6-910884 6-417969 6-742480 6-926124 6-463726 6-764756 6-940847 59 57 3 + 5 7-007794 7-116939 7-204089 7-020029 7-126484 7-211914 7-031928 7-135824 7-219601. 7-043510 7-144967 7-227154 7-054791 7-153922 7-234578 7-065786 7-162696 7-241877 56 55 54 6 7 8 7-276639 7-338787 7-393145 7-283270 7-344539 7-398224 7-289801 7-350216 7-403245 7-296235 7-355820 7-408208 7-302575 7-361353 7-413116 7-308824 7-366816 7-417968 53 5* 5» 9 lO II 7-441449 7-484915 7-524423 7-445997 7-489031 7-528183 7-450497 7-493109 7-5319" 7-45495* 7-497149 7-535607 7-459361 7-501152 7-539272 7-463726 7-505118 7-542906 50 12 13 14 7-560635 7-594059 7-625093 7-564096 7-597264 7-628078 7-567529 7-600446 7-631042 7-570935 7-603604 7-633986 7-574315 7-606740 7-636911 7-577668 7-609853 7-639816 47 46 45 15 16 17 7-654056 7-681208 7-706762 7-656849 7-683833 7-709237 7-659624 7-686441 7-711697 7-662382 7-689034 7-714144 7-665122 7-691611 7-716577 7-667845 7-694173 7-718997 44 43 42 4' 40 39 18 •9 20 7-730896 7'75375S 7-775477 7-733237 7-755980 7-777591 7-735566 7-758190 7-779694 7-737882 7-760389 7-781787 7-740186 7-762577 7-783870 7-742478 7-764754 7-785943 21 22 23 7-796162 7-815906 7-834791 7-798177 7-817831 7-836635 7-800183 7-819749 7-838471 7-802180 7-821658 7-840300 7-804167 7-S23558 7-842 121 7-806146 ■7-825451 7-843934 38 1^ 35 34 33 24 25 26 7-852889 7-870262 7-886968 7-854658 7-871962 7-888603 7-856419 7-873655 7-890233 7-858174 7-875342 7-891857 «,-859922 7-877022 7-893474 7-861662 7-878695 7-895085 27 28 29 7-903054 7-918566 7-933543 7-904631 7-920087 7-935012 7-906201 7-921603 7-936477 7-907766 7-923114 7-937937 7-909326 7-924619 7-939392 7-910879 7*926119 7-940842 32 3J 30 ' 30- 24- 18° 12' 6' o' e i Cosine. 89 degrees. degrees. Sine. ' 0" 6" 12' iS' 24" / 30 32 7-940842 7-955082 7-968870 7-942287 7-956481 7-970225 7-943727 7-957875 7-971576 7-945163 7-959264 7-972922 7-946594 7-960650 7-974265 29 28 27 33 34 35 7-982233 7-995198 8-007787 7-983547 7-996473 8*009026 7-984857 7-997745 8-010261 7-986164 7-999013 8-011493 7-987466 8-000277 8-012722 26 25 24 36 37 3X 8 '02002 1 8-031919 8-043501 8-021225 8-033092 8-044642 8-022427 8-034261 8-045781 8-023625 8-035426 8-046916 8-024819 8-036589 8-048048 23 22 21 39 4.0 41 8-054781 8-065776 8-076500 8-055894 8-066861 8-077558 8-057003 8-067942 8-078613 8-058109 8-069021 8-079666 8-059213 8-070097 8-080716 20 '8 42 43 44 8-086965 8-097183 8-107167 8-087997 8-098192 8-108153 8-089028 8-099198 8-109136 8-090056 8-100203 8-110118 8-091081 8-101204 8-111097 17 16 '5 46 47 8-116926 8-126471 8-135810 8-117890 8-127414 8-136733 8-118852 8-128355 8-137654 8-119812 8-129294 8-138574 8-120769 8-130231 8-139491 14 '3 12 48 49 50 «• 144953 8-153907 8-1626.81 8-145857 8'i54793 8-163548 8-146759 8-155676 8-164414 8-147659 8-156558 8-165279 8-148557 8-157438 8-166141 11 10 9 5' 52 53 8-171280 8-179713 8-187985 8-172131 8-180547 8-188803 8-172980 8-181380 8-189620 8-173827 8-182211 8-190436 8-174673 8-183041 8-191250 8 7 6 . 54 P 57 58 59 8-196102 8-204070 8-211895 8-196905 8-204859 8-212670 8-197707 8-205647 8-213443 8-198508 8-206433 8-214215 8-199307 8-207217 8-214986 5 4 3 8-219581 8-227134 8-234557 8-220342 8-227882 8-235292 8-221 102 8-228628 8-236026 8-221861 8-229374 8-236759 8-222618 8-230118 8-237491 2 1 / 60' 54" 48' 42* 36' ' Cosine. 89 degrees. degrees. Sine. ' 30" 36" 42" 48' 54' 6o« / 30 32 7-948020 y96zo3i 7-975603 7.949442 7-963407 7-976937 7-950859 7-964779 7-978267 7-952271 7-966147 7-979593 7-953679 7-967511 7-980915 7-955082 7-968870 7-982233 29 28 27 33 3+ 35 7-988764 8-001538 8-013947 7-990058 8-002795 8-015168 7-991349 8-00404S 8-016387 7-992636 8-005298 8-017601 7-993919 8-006544 8-018813 7-995198 8-007787 8-020021 26 25 24 36 37 38 8-026011 8-037749 8-049178 8-027199 8-038905 8-050304 8-028384 8-040059 8-051428 8-029566 8-041209 8-052549 8-030744 8-042357 8-053666 8-031919 8-043501 8-054781 23 22 21 39 4.0 4-1 8-060314 8-071171 8-081764 8-061412 8-072242 8-082809 8-062507 8-073310 8-083852 8-063599 8-074376 8-084892 8-064689 8-075439 8-085929 8-065776 S-076500 8-086965 20 19 18 4z 43 44 8-092104 8" 102204 8*112074 8-093125 8-103201 8-113049 8-094143 8-104196 8-114021 8-095159 8-105188 8-114992 8-096172 8-106179 8-115960 8-097183 8-107167 8-116926 17 16 15 45 46 47 8-121725 8-131166 8-140406 8-122678 8-132099 8-141319 8-123630 8-133030 8- J42231 8-124579 8-133959 8-143140 8-125526 8-134885 8-144048 8-126471 8-135810 8-144953 14 13 12 ^48 49 50 8-149453 8-158316 8-167002 8-150348 8-159193 8-167861 8-151241 8-160067 8-168718 8-152131 8-160940 8-169574 8-153020 8-161811 8-170428 ■8-153907 S-162681 8-I7I280- 11 10 9 5' 5» !'53 8-175517 8-183869 8-192062 8-176360 8-184695 8-192873 8-177200 8-185520 8-193683 8-178039 8-186343 8-194491 8-178877 8-187165 8-195297 8-179713 8-187985 8-196102 8 7 6 54 55 56 8-200104 8-208000 8-215755 8-20Q901 8-208782 8-216523 8-201695 8-209562 8-217289 8-202488 8-210341 8-218055 8-203280 8-211119 8-218819 8-204070 8-211895 8-219581 5 4 3 2 57 58 59 8-223374 8-230S61 8-238221 8 -224128 8-231603 8-238951 8-224882 8-232343 8-239679 8-225633 8'233oS2 8-240405 8-226384 8-233820 8-241131 8-227134 8-234557 8-241855 ' 30' 24' IS' 12" 6" 0' Cosine. 89 degrees. 1 degree. Sine. t 0' 6' 12' 18' H' / o I 2 8-241855 8-249033 g-256094 8-242578 8-249744 8-256794 8-243300 8-250455 8-157493 8-244021 8-251164 8-258190 8-244741 8-251871 8-258887 59 . 58 ■ 57 3 4 5 8.-263042 8-269881 8-276614 8-263731 8-270559 8-277281 8-264419 8-271236 8-277948 8-265105 8-271912 8-278613 8-265791 8-272587 8-279278 56 55 54 6 7 ii 8-283243 8-289773 8-296207 8-283901 8-290421 8-296845 8-284557 8-291068 8-297482 8-285213 8-291713 8-298118 8-285867 8-292358 8-298754 53 5* 9 lO II 8-302546 8-308794 8-314954 8-303175 g-309414 8'3'5565 8-303803 8-310033 8-316175 8-304430 8-310651 8-316785 8-305056 8-311268 8-317393 50 49 48 12 >4 8-321027 8-327016 8-332924 8-321630 8-327611 8-333511 8-322231 8-328204 8-334096 8-322832 8-328797 8-334681 8-323433 8-329389 8-335265 45 '7 8-338753 8-344504 8-350181 8-33933* 8-345075 8-350744 8-339909 8-345646 8-351307 8-340486 8-346215 8-351869 8-341063 8-346784 8-352430 44 43 42 ig '9 20 8-355783 S-36131^ 8-366777 8-356340 8-361864 8-367319 8-356895 8-362413 8-367861 8-357450 8-362961 8-368402 8-358005 8-363508 8-368943 41 40 39 21 22 23 8-372171 8-377499 8-382762 8-372707 8-378028 8-383285 8-373242 8-378557 8-383807 8-373776 8-379084 8-384329 8-374310 8-379612 8-384850 38 37 36 24 26 8-387962 8-393101 8-398179 8-388479 8-393611 8-398684 8-388995 8-394121 8-399188 8-389510 8-394631 8-399691 8-390025 8-395139 8-400194 35 34 33 27 2i? 29 8-403199 8-408161 8-413068 8-403698 8-408654 8-413555 8-404196 8-409147 8-414042 8-404694 8-409639 8-414529 8-405191 8-410131 8-415015 32 3> 30 ' 6o' 54' 48' 42- "■ 1 Cosine. 88 degrees. 1 degree. Sine. 1 3°' 36' 42' 48" 54' 6o' \ 59 58 57 o I 2 8-245459 8-252578 8-459582 8-246176 8-253284 8-260276 8-246892 8-253988 8-260970 8-247607 8-254691 8-261662 8248321 8-255393 8-262353 8-249033 8-256094 8-263042 3 4 S 8-266475 8-273260 8-279941 8-267158 8'»73933 8-280604 8-267841 8-274605 8-281265 8-268522 8-275275 8-281925 8-269202 8-275945 8-282585 8-269881 8-276614 8-283243 56 55 54 6 7 g 8-2S6521 8-293002 8-299388 8-287173 8-293645 -8-300021 8-287825 8-294287 8-300654 8-288475 8-294928 8-301286 8-289125 8-295568 8-301916 8-289773 8-296207 8-302546 53 5* 51 9 lO II 8-305681 g-311885 8-318001 8-306306 8-312500 8-318608 8-306929 8-313115 8-319214 8-307552 8-313729 8-319819 8-308173 8-314342 8-320423 8-308794 8-314954 8-321027 50 49 48 12 '3 1+ 8-324032 8*329980 8-335848 8-324630 8-330571 8-336431 8-325228 8-331160 8-337013 8-325825 8-331749 8-337593 8-326421 8-332337 8-338174 8-327016 8-332924 8-338753 47 46 45 15 16 17 8-341638 8-347352 g-352991 8-342213 8-347919 8-353551 8-342787 8-348485 8-354110 8-343360 8-349051 8-354669 8-343933 8-349616 8-355226 8-344504 8-350181 8-355783 44 43 42 18 '9 20 8-358558 8"364oS5 8-369482 8-359111 8-364600 8-370021 8-359663 8-365146 8-370560 8-360214 8-365690 8-371097 8-360765 8-366234 8-371635 8-361315 8-366777 8-372171 41 40 39 21 22 23 8'374843 8-380138 8-385370 8-375375 8-380664 8-385890 8-375907 8-381190 8-386409 8-376438 8-381714 8-386927 8-376969 8-382239 8-387445 8-377499 8-382762 8-387962 38 24 8-390539 8-395647 8-400696 8-391053 8-396155 8-401198 8-391566 8-396662 8-401699 8-392078 8-397168 8-402200 8-392590 8-397674 8-402700 8-393101 8-398179 8-403199 35 34 33 27 28 29 g-405687 8-4106ZI 8-415500 8-406183 8-411112 8-415985 8-406679 8-411602 8-416469 8-407173 8-41Z091 8-416953 8-407668 8-412579 8-417436 8-408161 8-413068 S-417919 32 31 30 ' 30' 1 24' 18' 12' 6' 0* ' Cosine. 88 degrees. C } 1 degree. -4 Siue. 1 / 0' 6' 12' 18' 1 ^4" ' 3° 3' 32 8'4i79i9 8-422717 8-427462 8-418401 8-423194 8-427934 8-418883 8-423670 8-428405 8-419364 8-424146 8-428876 8-419844 8-424621 8-429346 28 27 33 34- 35 8-432156 8-436800 8-441394 8-432623 8-437262 8-441851 8-4^3^89 8-4377^3 8-442308 8-433554 8-438183 8-442763 8-434020 8-438644 8-443219 26 ^5 24 36 37 38 8-445941 8-450440 8-454893 8-446393 8-450888 8-455336 8-446845 8-451335 8-455779 8-447296 8-451781 8-456220 8-447746 8-452227 8-456662 23 22 21 39 40 41 8-459301 8-463665 8-467985 8-459740 8-464099 8-468415 8-460178 8-464532 8-468844 8-460615 8-464965 8-469273 8-461052 8-465398 8-4697CI 20 19 18 4.2 43 44 8-472263 8-476498 8-48C693 8-472688 8-476920 8-481110 8-473113 8-477341 8-481527 8-473538 8-477761 8-481944 8-473962 8-4781S1 8-482360 J7 16 15 46 47 8-484848 8-488963 8-493040 8-485261 8-489373 8'493445 8-485674 8-4S9782 8493851 8 486087 8-4901 9c 8-494255 8-486499 8-490598 8-494660 '4 13 12 48 49 5° 8-497078 8-501080 8-505045 8-497480 8-501478 8-505439 8-4978S2 8-';oi876 8-505833 8-498283 8-502273 8-506227 8-498683 8-502670 8-506621 II 10 9 51 52 53 8-508974 8-512S67 8-516726 8-509365 8-513255 8-517110 8-509755 8-513642 8-517494 8-510145 8-514029 8-517877 8-510535 8-514415 8-518260 8 7 6 54 55 56 8-520551 8-524343 8-';28i02 8-520932 8-524720 8-52S476 8-521312 8-525097 8-528850 S-521692 8-525474 8-529223 8-522072 8-525850 8-529596 5 4 3 57 58 59 8-531828 8-535523 8-539186 8-532199 8-535891 8-539551 8-532570 8-536258 8-539915 8-532940 8- 536625 8-540279 8'5333io 8-5369-,.2 1 8-540643 2 I 60' 1 54' 1 48- 42' 1 36' ' Cosine. 88 degrees. 1 degree. Sine. ' 30* 36" 42" 48- 5+" ■6o' ' 3° 31 32 S'420325 8*425096 8"4298i5 8-420804 8-425570 8-430285 8-421283 8-426044 8-430753 8 -42 1 76 1 8-426517 8-431221 8-422239 8-426990 8-431689 8-422717 8-427462 8-432156 29 28 27 33 34 35 8-434484 8-439103 8-443674 8-434948 8-439562 8-444128 8-435412 g -440021 8-444582 8-435875 8-44.0479 8-445035 8-436338 8-440937 8-445488 g-436800 8-441394 8-445.941 26 25 24 36 37 38 8-448196 g-452673 8-457103 8-448646 8-453118 8-457543 8-449095 8-453562 8-457984 8-449544 8-454006 8-458423 8-449992 8-454450 8-458863 8-450440 8-454893 8-459301 23 22 21 39 40 41 8-461489 8-465830 8-470129 8-461925 8-466262 8-470557 8-462360 8-466693 8-470984 8-462796 8-467124 8-471410 8-463230 8-467555 8-471837 8-463665 8-467985 8-472263 20 18 42 43 44 8-474386 8-478601 8-482776 8-474809 8-479020 8-483 191 8-475232 8-479439 8-483606 8-475655 8-479857 8-484020 8-476077 8-480276 8-484434 8-476498 8-480693 8 -484848 17 16 15 45 46 47 8-486910 8-491006 g-495064 8-487322 8-4914/4 8-495467 8-487733 8-491821 8-495871 g-4S8i43 8-492228 8-496274 8-488553 8-492634 8-496676 8-488963 8-493040 8-497078 14 •3 12 48 49 50 8-499084 8-503067 8-507014 8-499484 8-503463 8-507406 8-499883 8-503859 8-507799 8-500283 8-504255 8-508191 8-500681 8-504650 8-508582 8-501080 8-505045 8-508974 11 10 9 8 7 6 51 52 53 8-510925 8-514801 8-518643 8-511314 8-515187 8-519025 8-511703 8-515572 8-519407 8-512091 8-515957 8-519789 8-512480 8-516342 8-520170 8-512867 8-516726 8-520551 54 55 56 8-522451 8-526226 8-529969 8-522830 8-526602 g-530341 8-523209 8-526977 8-530714 8-523587 8-527353 8-531085 8-523965 8-527727 8-531457 8-524343 8-528102 8-531828 5 4 3 57 58 59 8-533679 8-537358 8-541007 8-534049 8-537725 8-541370 8-534418 8-538091 8-541733 8-534786 8-538456 8-542095 8-535155 8-538821 8-542457 8-535523 8-539186 8-542819 2 I t 30' 24' 18' 12' 6' o' 1 Cosine. 88 degrees. u a SOLUTION OF TRIANGLES. [Ill the following foimnlae, a, b, o denote the sides of the triangle, and A, B, C the angles respectively opposite.] I. RIGHT-ANGLED PLANE TKIANGLES. A In the triangle ABC, let C be the right angle and c the hypothenuse. Case 1. Data: The two sides. Given a, b ; Sought c. A, B. tan A ^ 7 ; tan B 6 _ ^ _ a a' cos A cos B' Case 2. Data : The hypothenuse and a side. Given c, a ; Sought b, A, B. cos B = -: sinA = -; & = csinB = c cos A. cos a = -: — r: ; cos o = -: — r; COS e = cot A cot xJ. em B sin A IV. OBLIQUE-ANGLED SPHERICAL TKIANGLBS. A C a Case 1. Data : The three sides. Given a,b,c; Sought A, B, C. Let 5 = -i- "(a + 6 + c) ; n/r / /sin (s — ol sin (« — J) sln(« — o)\ Assume M = ^ (— ^ .L. ) « SOLUTION OF TRIANGLRS. then, tan -J A = tan i B = sin (s — o) ' M sill (« — 6) ' tan X C = . ," , . ^ sill ^4 — e) Case 2. Z)ato .• Two sides and the included angle. Given a, b, C; Sought c. A, B. Find an angle (p such that cot ^ = tan a cos C ; then, cos a sin (b + a) COS c = 7—^^ — ; Bin ^ . . „ sill a Sin A = sin C -: — ; sin sin B = sm C -; — . sin c Otherwise, 1 / A . T> \ cot J C COS i (o — i) , tani(A + B)== ^^.^^A,) ' tan 4 (A - B) = SHlMiliii^ . 2 ^ ^ Sin ^ (a + i) A = |(A + B) + ^(A-B); B = ^(A + B)-i(A-B); sin C . . sin C Bin c = sm a -: — j- = sm 6 -: — =. sin A sill B Cajse 3. Data : Two sides and the angle opposite one of them. Given a, b, A; Sought c, B, C. Find two angles (p and -^ such that cot ^ = tan 6 cos A ; tan i^ = cos 6 tan A ; then, / ■ ...N ens a sin ffl . t% • . sin 6 -^sin (c + (p)= —-—r-^i sm B = sin A ^; cos 6 Bill a sin (C + if-) = cot a tan 6 sin ■, Jfole.—Tlaa case is ambiguous. SOLUTION OF TRIANGLES, Case 4. Data : Two angles and the side between them. Given A, B, c; Sought a, b, C. Find two angles (p and -^ such that tan (p = cos c tan A ; tan if' = cos c tan B • then, tan a ^ -: — rr: — !-- ; tan = • sin (B + ,p) ' " " sin (A + ,;,) ' p cos A cos (B + rp) cos B cos (A + ■i') COS (p cos ^^ Case 5 Z>ate .• Two angles and the side opposite one of them. Given A, B, a ; Sought b, c, C. Find two angles (p and -^ such that tan tp= tan a cos B ; cot ij/ = cos a tan B ; then, , sin a Kin B sm 6 = : — - — ; sin A sin (c — ip) = cot A tan B sin ip ; . ,^ , .. cos A sin li sin (C — •4') = —-. ^ cos B Note. — This case is ambiguous. Case 6. Data : The three angles. Given A, B, C ; Sought a, b, c. Let S = J. (A + B + C) ; Assume N = ^ (cos (S - A) c.s (S - B) cos (S - C)) ' then, tan J a = N cos (S — A) ; tan J. ft = TST cos (S — B) ; tan A c = N cos (S — C). Let F ^ the area or superficial content of a spherical triangle, r = radius of the sphere, and ?r = the semicircum- ference to radius 1 . Then, F— ( -^ + ^ + ^- ^^° \ '^ ~ \ 180"" ; V^r. CONSTANTS. Logarithm. Ratio of the circumference of a circle to ^ its diameter J ^ 3-I4I5927 0-497150 ^ 9-8696044 0-994300 ^ 31-0062767 1-491450 V* 1-7724539 0-248575 ^iT I -46459 19 0-165717 Hypertolio log. a- 1-1447299 0-058703 Area of circle, diameter = i H- 0-7853982 0-5235988 I-I283792 9-895090 9-718999 0-052455 4 a- Diameter of circle, area = i " 6 Diameter of sphere, content = i Vl 1-2407010 0-093667 radius j 0-00000485 4-685575 Length of arc i' (= sin i') in parts of the 1 radius J 0-00029089 6-463726 Length of arc i° in parts of the radius. Sin 1° in parts of the radius 0-01745329 0-01745241 206264-81 3437-7468 57-a9S78o 1296000 8-241877 8-241855 5'3i44*S 3-536274 1-758123 6-112605 Radius reduced to seconds 360 degrees expressed in seconds Number whose hyperbolic log. is unity Modulus of the common logarithms . . . 2'7i828i8 0-4342945 2-3025851 0-434294 9-637784 0-362216 Complement of same Mile in feet Acre in square yards Imperial gallon in cubic inches (= lo lbs avoirdupois of distilled water, Bar. 30 i Fahr.Ther. 62°) Ounce troy in grains Pound troy in grains ...» Ounce avoirdupois in grains troy , Pound avoirdupois in grains troy . bs.) in. V French metre in English inches French metre in English feet French font in English feet French toise in English feet French toise in metres French are in English acres French litre in imperial gallons French gramme in grains troy French kilpgramme in lbs. avoirdupois. Centesimal degree in sexagesimal degrees.. . Centesimal minute in sexagesimnl minutes.. C/entesimal second in sexagesimal seconds . . 24 hours expressed in seconds Complement of same Diurnal accel. of stars = 3™ 55'"9093 in mean solar seconds Sidereal day (= 23^ 56™ 4^*09) in me.in solar days Mean solar day (= 24** 3™ 56^' 56) in sidereal days Tropical revolution of earth, or mean s >lar j-ear, in mean solar days Sidereal revolution of earth in mean solar days Mean synodical revolution of moon in I mean solar days I 5280 4840 277-274 480 5760 437'S 7000 39-37079 3-2S08992 1-0657654 6'3945925 1-949040 0-0247114 0-22009687 15-438 2-2055 0-9 0-54 0-324 86400 ■00001157 235-9093 0-9972697 1-0027379 365-24224 365-25636 29-5305887 Logarithm. 3-722634 3-684845 2*442909 681241 3-760423 a-640978 3-845098 "■595174 0'5i5993 0-027662 0-805813 0-289820 8-392898 9-342614 1-18S591 0-343507 9'954243 9"73»394 9-510545 4-936514 5-063486 ^■37»745 9-998813 0-001187 2-562581. 2-562598 1-470272 Logarithm, Compression of the earth 7 ^ 302'026 Equatorial radius of earth in English feet, . . . Polar radius of earth in English feet Length of degree of meridian at the equator ) in English feet j Degree of meridian at latitude 45° in feet. . . . Degree of meridian at latitude 52° 50' in feet Degree of meridian at the pole in feet Degree of equator in feet Degree of longitude at latitude 45° in feet . . . Degree of longitude at latitude 52° 50' in feet Geographical mile in latitude 45° in statute 1 miles J Sea league in latitude 43° in statute miles . . . Length of seconds' pendulum at London, in vacuo, at the level of the sea, and tem- perature 62° Fahr., in British standard inches Velocity acquired in one second hy a hody "i falling freely, in vacuo, in the latitude > ot Greenwich, in standard inches ) I'he same in English feet Ratio of centrifugal force to force of 1 f ' \ gravity at the equator j\2SgJ Velocity of sound in one second of time, ) in dry air, and at temp. 32° Fahr., in V English feet j The same at temperature 62° Fahr Bar. 30 inches, Fahr. Ther. 62°, cubic inch 1 of distilled water in grains J Ditto, cubic foot of water in ounces troy .... Ditto, ditto in ounces avoirdupois Density of atmospheric air. Bar. 29*75 in. ) Fahr. Ther. 32° J Density of mercury, Fahr. Ther. 32° o'oo33io58 7-519956 20921665 7-320596 20852394 7-319156 362734 5-559588 364543"5 5-561749 365033 5-562332 366361 5-563909 365152 5-562474 259488 S-414117 221799 5-345961 1-15073 0-060974 3-45219 0-538095 39-1393 386-2894 32-1908 0-00346021 1090 II25 252-458 908-84880 997-13697 0-00122 13-619 1-592613 2-586913 1-507732 7-539102 3-037427 3"oS"53 2-402189 2-958492 «'998755 7-086360 •■134145 PBIHTBD BY tiPOITISWOODE AlfD CO., KEff-BTUJiEX BQL'AKE, LOSDOlf. .^*^\-\>J. ,f,1".« i i ,1 1 (t (' t' %y-V