Surveyor's tables, being the tables from the Manual of land surveying, by F. Hodgman

Page 22

.41 m. ml TABLE III. 0:) 1.I '1 .‘ ‘1 . 4 . 1‘. "R‘14~*-mzwqfirfl~c- 1 NATURAL TANGENTS, ETC. 10 2° 4o 111- .Tang. Cotang. Tang. Cotang. Tang. Gotang. 0 .00000 Infinite .01746 57.2900 .03492 28.6363 1 .00029 3437.75 .01775 56.3506 .03521 28.3994 2 .00058 1718.87 .01804 55.4415 .03550 28.1664 3 .00087 1145.92 .01833 54.5613 .03579 27.9372 4 .00116 859.436 .01862 53.7086 .03609 27.7117 5 .00145 687.549 .01891 52.8821 .03638 27.4899 6 .00175 572.957 .01920 52.0807 .03667 27.2715 7 .00204 491.106 .01949 51.3032 .03696 27.0566 8 .00233 429.718 .01978 50.5485 .03725 26.8450 9 .00262 381.971 .02007 49.8157 .03754 26.6367 10 .00291 343.774 .02036 49.1039 .03783 26.4316 11 .00320 312.521 .02066 48.4121 .03812 26.2296 12 .00349 286.478 .02095 47 7395 .03842 26.0307 13 .00378 264.441 .02124 47.0853 .03871 25.8348 14 .00407 245.552 .02153 46 4489 .03900 25.6418 15 .00436 229.182 .02182 45 8294 .03929 25.4517 16 .00465 214.858 .02211 452261 .03958 25.2644 17 .00495 202.219 .02240 44.6386 .03987 25.0798 18 .00524 190.984 .02269 44 0661 .04016 24.8978 19 .00553 180.932 .02298 43 5081 .04046 24.7185 20 .00582 171.885 .02328 42.9641 .04075 24.5418 21 .00611 163.700 .02357 42.4335 .04104 24.3675 22 .00640 156.259 .02386 41.9158 .04133 24.1957 23 .00669 149.465 .02415 41.4106 .04162 24.0263 24 .00698 143.237 .02444 40.9174 .04191 23.8593 25 .00727 137.507 .02473 40.4358 .04220 23.6945. 26 .00756 132.219 .02502 39.9655 .04250 23.5321 27 .00785 127.321' :02531 39.5059 .04279 23.3718 28 .00815 122.774 .02560 39.0568 .04308 23.2137 29 .00844 118.540 .02589 38.6177 .04337 23.0577 30 .00873 1142589 .02619 38 1885 .04366 22.9038 31 .00902 110.892. .02648 37.7686 .04395 22.7519 32 .00931 107.426 .02677 37.3579 .04424 22.6020 33 .00960 104.171 .02706 36.9560 .04454 22.4541 34 .00989 101.107 .02735 36.5627 .04483 22.3081 35 .01018 98.2179 .02764 36.1776 .04512 22.1640 02793 35.8006 .04541 22.0217 36 .01047 95.4895 37 .01076 92.9085 .02822 35.4313 .04570 21.8813 38 . .01105 90.4633 .02851. 35.0695 .04599 21.7426 39 .01135 88.1436 .02881 34.7151 .04628 21.6056 40 .01164 85.9398 .02910 34.3678 .04658 21.4704 41 .01193 83.8435 .02939 34.0273 .04687 21.3369 42 .01222 81.8470 .02968 33.6935 .04716 21.2049 43 44 45 46 47 48 49 50 51 52 53 54 .55 56 57 58 59 60 .01251 79.9434 .01280 .01309 .0138 .0136? .01396 .01425 .01455‘ .01484 .01513 .01542 .01571 .01600 .01629 .01658 .01687 .01716 .01746 78.1263 76.3900 74.7292 73.1390 71.6151 70.1533 68.7501 67.4019 66.1055 64.8580 63.6567 62.4992 61.3829 60.3058 59.2659 58.2612 57.2900 TABLE III. .02997 33.3662 .03026 .03055 .03084 .03114 .03143 .03172 .03201 .03230 .03259 .03288 .03317: .03346 .03376 .03405 .03434 .03463 .03492 33.0452 32.7303 32.4213 32.1181 318205 31.5284 31.2416 30.9599 30.6833 30.4116 30.1446 29.8823 29.6245 29.3711 29.1220 28.8771 28.6363 .04745 21.0747 .04774 .04803 .04833 .04862 .04891 .04920 .04949 .04978 .05007 .05037 .05066 .05095 .05124 .05153 .05182 .05212 .05241 20.9460 20.8188 20.6932" 20.5691 20.4465 20.3253 20.2056 20.0872 19.9702 19.8546 19.7403 19.6273 19.5156 19.4051 19.2959 19.1879 19.0811 Tang. Cotang. .05241 .05270 .05299 .05328 .05357 .05387 .05416 .05445 .05474 .05503 .05533 .05562 .05591 .05620 .05649 .05678 .05708 .05737 .05766 .05795 .05824 .05854 05883 .05912 .05941 .05970 05999 06029 .06058 .06087 06116 .06145 .06175 .06204 .06233 .06262 .06291 .06321 .06350 .06379 .06408 .06437 .06467 .06496 15.3943 .06525 .06554 .06584 .06613 .06642 .06671 .06700 .06730 .06759 .06788 .06817 .06847 .06876 .06905 06934 .06963 .06993 15.3254 15.2571 15.1893 15.1222 15.0557 14.9898 14.9244 14.8596 14.7954 14.7317 14.6685 14.6059 145438 14.4823 14.4212 14.3607 14.3007 ,1.» .1 any-m- «mung... . 88° 87' 59 69 79 M. Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. 19.0811 18.9755 18.8711 18.7678 18.6656 18.5645 18.4645 18.3655 18.2677 18.1708 18.0750 17.9802 17.8863 17.7934 17.7015 17.6106 17.5205 17.4314 17.3432 17.2558 17.1693 17.0837 16.9990 16.9150 16.8319 16.7496 16.6681 16.5874 16.5075 16.4283. 16.3499 16.2722 16.1952 16.1190 16.0435 15.9687 15.8945 15.8211 15.7483 15.6762 15.6048 15.5340 15.4638 9 8 7 6 5 4 3 2 1 0 M. M.ICotang. Tang. Ootang. Tang. Cotang. Tang. Gotang. Tang. 89' NATURAL'TANGENTS, ETC. 39 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 .06993 .07022 .07051 .07080 .07110 .07139 .07168 .07197 .07227 .07256 .07285 .07314 .07344 .07373 .07402 .07431 14.3007 14.2411 14.1821 14.1235 14.0655 14.0079 13.9507 13.8940 13.8378 13.7821 13.7267 13.6719 13.6174 13.5634 13.5098 13.4566 .08749 .08778 .0880? .08837 .08866 .08895 .08925 .08954 .08983 .09013 .09042 .09071 .09101 .09130 .09159 .09189 11.4301 11.3919 11.3540 11.3163 11.2789 11.2417 11.2048 11.1681 11.1316 11.0954 11.0594 11.0237 10 9882 10.9529 10.9178 10.8829 .10510 .10540 .10569 .10599 .10628 .10657 .10687 .10716 .10746 .10775 .10805 .10834 .10863 .10893 .10922 .10952 9.51436. 9.48781 9.46141 9.43515 9.40904 9.38307 9.35724 9.33155 9.30599 9.28058 9.25530 9.23016 9.20516 9.18028 9.15554 9.13093 .12278 .12308 .12338 .12367 .12397 .12/426 .12456 .12485 .12515 .12544 .12574 .12603 .12633 .12662 .12692 .12722 8.14435 60 8.1248159 8.10536 58 . 8.08600157 8.0667456 8.0475655 8.0284854 8.00948 53 7.99058 52 7.97176 51 7.95302 50 7.93438 49 7.91582 48 7.89734 47 7.87895 46 7.86064 45 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 .07461 .07490 .07519 .07548 .07578 .07607 .67636. .07665 .07695 .07724 .07753 .07782 .07812 .07841 .07870 13.4039 13.3515 13.2996 13.2480 13.1969 13.1461 13.0958 13.0458 12.9962. 12.9469 12.8981 12.8496 12.8014 12.7536 12.7062 .09218 .09247 .09277 .09306 .09335 .09365 .09394 .09423 .09453 .09482 .09511 .09541 .09570 .09600 .09629 10.8483 10.8139 10.7797 10.7457 10.7119 10.6783 10.6450 10.6118 10.5789 10.5462 10.5136 10.4813 10.4491 10.4172 10.3854 .10981 .11011 .11040 .11070 .11099 .11128 .11158 .11187 .11217 .11246 .11276 .11305 .11335 .11364 .11394 9.10646 9.08211 9.05789 9.03379 9.00983 8.98598 8.96227 8.93867 8.91520 8.89185 8.86862 8 84551 8.82252 8.79964 8.77689 .12751 .12781 .12810 .12840 .12869 .12899 .12929 .12958 .12988 .13017 .13047 .13076 .13106 .13136 .13165 7.84242 44 7.82428 43 7.80622 42 7.78825 41 7.7703540 7.75254 39 7.73480 38 7.71715 37 7.69957 36 7.68208 35 7.6646634 7.6473233 7.63005 32 7.61287 31 7.5957530 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 .07899 .07929 .07958 .0798? .0801? .08046 .08075 .08104 .08134 .08163 .08192 .08221 .08251 .08280 .08309 .11423 .11452 .11482 .1151] .1154] .11570 .11600 .11629 .11659 .11688 .11718 .11747 .11777 .11806 .11836 8.75425 8.73172 8.70931 8.68701 8.66482 8.64275 8.62078 8.59893 8.57718 8.55555 8.53402 8.51259 8.49128 8.47007 8.44896 .13195 .13224 .13254 13284 .13313 .13343 .13372 .13402 .13432 .13461 .13491 .13521 .13550 .13580 .13609 7.57872 29 7.56176 28 7.54487 27 7.52806 26 7.51132 25 7.49465 24 7.47806 23 7.46154 22 7.44509 21 7. .7120 7. 124019 7.3961618 7.3799917 7.3638916 7.3478615 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 .08339 .08368 .0839? .0842? .08456 .08485 .08514 108544 .08573 .08602 .08632 .08661 .08690 .08720 .08749 .09658 10.3538 12.6591 .09688 10.3224 12.6124 .09717 10.2913 12.5660 .09746 10.2602 12.5199 .09776 10.2294 12.4742 .09805 10.1988 12.4288 .09834 10.1683 12.3838 .09864 10.1381 12.3390 .09893 10.1080 12.2946 .09923 10.0780 12.2505 .09952 10.0483 12.2067 .09981 10.0187 12.1632 .10011 9.98931 12.1201 .10040 9.96007 12.0772 12.0346 .10069 9.93101 .10099 9.90211 11.9923 .10128 9.87338 11.9504 .10158 9.84482 11.9087 .10187 9.81641 11.8673 .10216 9 78817 11.8262 .10246 9.76009 11.7853 .10275 9.73217 11.7448 .10305 9 70441 11.7045 .10334 9.67680 11.6645 .10363 9.64935 11.6248 .10393 9.62205 11.5853 .10422 9.59490 11.5461 .10452 9.56791 11.5072 .10481 9.54106 11.4685 .10510 9.51436 11.4301 .11865 .11895 .11924 .11954 .11983 .12013 .12042 .12072 .12101 .12131 .12160 .12190 .12219 .12249 .12278 8.42795 8.40705 8.38625 8.36555 8.34496 8.32446 8.30406 8.28376 8.26355 8.24345 8.22344 8.20352 8.18370 8.16398 8.14435 .13639 .13669 .13698 .13728 .13758 .13787 .13817 .13846 .13876 .13906 .13935 .13965 .13995 .14024 .14054 7.3319014 7.3160013 7.30018 12 7.2844211 7 2687310 7.25310 9 7.23754 8 7.22204 7 7.20661 6 _ 7.19125 5 7.17594 4 7.16071 3 7.14553 2 7.13042 1 7.11537 0 M. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. M. 86' 85' 84° 83° 82°..