LOG. SINES AND TANGENTS.

39°

40°

159

Sine Cosine Tang. Cotang Sine Cosine Tang. | Cotang 0 9.79887 9.89050 9.90837 10.09163 9.80807 9.88425 9.92381 10.07619 60 19.79903 9.89040 9.90868 10.09137 9.80822 9.88415 9.92407 10.07593 59 2 9.79918 9.89030 9.90889 10.09111 9.80837 9.88404 9.92433 10.07567 58 3 9.79934 9.89020 9.90914 10.09086 9.80852 9.88394 9.92458 10.07542 57 4 9.79950 9.89009 9.90940 10.09060 9.80867 9.88383 9.92484 10.07516 56 5 9.79965 9.88999 9.90966 10.09034 9.80882 9.88372 9.92510 10.07490 55 6 9.79981 9.88989 9.90992 10.09008 9.80897 9.88362 9.92535 10.07465 54 7 9.79996 9.88978 9.91018 10.08982 9.80912 9.88351 9.92561 10.07439 53 8 9.80012 9.88968 9.91043 10.08957 9.80927 9.88340 9.92587 10.07413 52 9 9.80027 9.88958 9.91069 10.08931 9.80942 9.88330 9.92612 10.07388 51 10 9.80043 9.88948 9.91095 10.08905 9.80957 9.88319 9.92638 10.07362 50 11 9.80058 9.88937 9.91121 10.08879 9.80972 9.88308 9.92663 10.07337|49| 12 9.80074 9.88927 9.91147 10.08853 9.81987 9.88298 9.92689 10.07311 48 13 9.80089 9.88917 9.91172 10.08828 9.81002 9.88287 9.92715 10.07285 47 14 9.80105 9.88906 9.91198 10.08802 9.81017 9.88276 9.92740 10.07260 46 15 9.80120 9.88896 9.91224 10.08776 9.81032 9.88266 9.92766 10.07234 45 16 9.80136 9.88886 9.91250 10.08750 9.81047 9.88255 9.92792 10.07208 44 17 9.80151 9.88875 9.91276 10.08724 9.81061 9.88244 9.92817 10.07183 43) 18 9.80166 9.88865 9.91301 10.08699 9.81076 9.88234 9.92843 10.07157 42 19 9.80182 9.88855 9.91327 10.08673 9.81091 9.88223 9.92868 10.07132 41 20 9.80197 9.88844 9.91353 10.08647 9.81106 9.88212 9.92894 10.07106 40 21 9.80213 9.88834 9.91379 10.08621 9.81121 9.88201 9.92920 10.07080 39 22 9.80228 9.88824 9.91404 10.08596 9.81136 9.88191 9.92345 10.07055 38 23 9.80244 9.88813 9.91430 10.08570 9.81151 9.88180 9.92971 10.07029 37 24 9.80259 9.88803 9.91456 10.08544 9.81166 9.88169 9.92996 10.07004 36 25 9.80274 9.88793 9.91482 10.08518 9.81180 9.88158 9.93022 10.06978 35 26 9.80290 9.88782 9.91507 10.08493 9.81195 9.88148 9.93048 10.06952 34 27 9.80305 9.88772 9.91533 10.08467 9.81210 9.88137 9.93073 10.06927 33 28 9.80320 9.88761 9.91559 10.08441 9.81225 9.88126 9.93099 10.06901 32 29 9.80336 9.88751 9.91585 10.08415 9.81240 9.88115 9.93124 10.06876 31 30 9.80351 9.88741 9.91610 10.08390 9.81254 9.88105 9.93150 10.06850 30 31 9.80366 9.88730 9.91636 10.08364 9.81269 9.88094 9.93175 10.06825 29 32 9.80382 9.88720 9.91662 10.08338 9.81284 9.88083 9.93201 10.06799 28 33 9.80397 9.88709 9.91688 10.08312 9.81299 9.88072 9.93227 10.06773 27 34 9.80412 9.88699 9.91713 10.08287 9.81314 9.88061 9.93252 10.06748 26 35 9.80428 9.88688 9.91739 10.08261 9.81328 9.88051 9.93278 10.06722|25| 36 9.80443 9.88678 9.91765 10.08235 9.31343 9.88040 9.93303 10.06697 24 37 9.80458 9.88668 9.91791 10.08209 9.81358 9.88029 9.93329 10.06671 23 38 9.80473 9.88657 9.91816 10.08184 9.81372 9.88018 9.93354 10.06646 22 39 9.80489 9.88647 9.91842 10.08158 9.81387 9.88007 9.93330 10.06620 21 40 9.80504 9.88636 9.91868 10.08132 9.81402 9.87996 9.93406 10.06594 20 41 9.80519 9.88626 9.91893 10.08107 9.81417 9.87985 9.93431 10.06569 19 42 9.80534 9.88615 9.91919 10.08081 9.81431 9.87975 9.93457 10.06543 18 43 9.80550 9.88605 9.91945 10.08055 9.81446 9.87964 9.93482 10.06518 17 44 9.80565 9.88594 9.91971 10.08029 9.81461 9.87953 9.93508 10.06492 16 45 9.80580 9.88584 9.91996 10.08004 9.81475 9.87942 9.93533 10.05467 15 46 9.80595 9.88573 9.92022 10.07978 9.81490 9.87931 9.93559 10.06441 14 47 9.80610 9.88563 9.92048 10.07952 9.81505 9.87920 9.93584 10.06416 13 48 9.80625 9.88552 9.92073 10.07927 9.81519 9.87909 9.93610 10.06390 12 49 9.80641 9.88542 9.92099 10.07901 9.81534 9.87898 9.93636 10.06364 11 50 9.80656 9.88531 9.92125 10.07875 9.81549 9.87887 9.93661 10.06339 10 51 9.80671 9.88521 9.92150 10.07850 9.81563 9.87877 9.93687 10.06313 9 52 9.80686 9.88510 9.92176 10.07824 9.81578 9.87866 9.93712 10.05288 53 9.80701 9.88499 9.92202 10.07798 9.81592 9.87855 9.93738 10.06262 54 9.80716 9.88489 9.92227 10.07773 9.81607 9.87844 9.93763 10.06237 55 9.80731 9.88478 9.92253 10.07747 9.81622 9.87833 9.93789 10.06211 56 9.80746 9.88468 9.92279 10.07721 9.81636 9.87822 9.93814 10.06186 57 9.80762 9.88457 9.92304 10.07696 9.81651 9.87811 9.93840 10.06160 58 9.80777 9.88447 9.92330 10.07670 9.81665 9.87800 9.93865 10.06135 59 9.80792 9.88436 9.92356 10.07644 9.81680 9.87789 9.93891 10.06109 60 9.80807 9.88425 9.92381 10.07619 9.81694 9.87778 9.93916 10.06084 Cosine Sine Cotang Tang. Cosine Sine Cotang Tang. 49°

50°

643210

160

LOG. SINES AND TANGENTS.

Sine Cosine Tang Cotang Sine Cosine Tang.

Cotang. 9.81694 9.87778 9.93916 10.06084 9.82551 9.87107 9.95444 10.04556 60 19.81709 9.87767 9.93942 10.06058 9.82565 9.87096 9.95469 10.04531 59 2 9.81723 9.87756 9.93967 10.06033 9.82579 9.87085 9.95495 10.04505 58 3 9.81738 9.87745 9.93993 10.06007 9.82593 9.87073 9.95520 10.04480 57 4 9.81752 9.87734 9.94018 10.05982 9.82607 9.87062 9.95545 10.04455 56 5 9.81767 9.87723 9.94044 10.05956 9.82621 9.87050 9.95571 10.04429 55 6 9.81781 9.87712 9.94069 10.05931 9.82635 9.87039 9.95596 10.04404 54 7 9.81796 9.87701 9.94095 10.05905 9.82649 9.87028 9.95622 10.04378 53 8 9.81810 9.87690 9.94120 10.05880 9.82663 9.87016 9.95647 10.04353 52 9 9.81825 9.87679 9.94146 10.05854 9.82677 9.87005 9.95672 10.04328 51 10 9.81839 9.87668 9.94171 10.05829 9.82691 9.86993 9.95698 10.04302 50 11 9.81854 9.87657 9.94197 10.05803 9.82705 9.86982 9.95723 10.04277 49 12 9.81868 9.87646 9.94222 10.05778 9.82719 9.86970 9.95748 10.04252 48 13 9.81882 9.87635 9.94248 10.05752 9-82733 9.86959 9.95774 10.04226 47 14 9.81897 9.87624 9.94273 10.05727 9.82747 9.86947 9.95799 10.04201 46 15 9.81911 9.87613 9.94299 10.05701 9.82761 9.86936 9.95825 10.04175 45 16 9.81926 9.87601 9.94324 10.05676 9.82775 9.86924 9.95850 10.04150 44 17 9.81940 9.87590 9.94350 10.05650 9.82788 9.86913 9.95875 10.04125 43 18 9.81955 9.87579 9.94375 10.05625 9.82802 9.86902 9.95901 10.04099 42 19 9.81969 9.87568 9.94401 10.05599 9.82816 9.86890 9.95926 10.04074 41 20 9.81983 9.87557 9.94426 10.05574 9.82830 9.86879 9.95952 10.04048 40 21 9.81998 9.87546 9.94452 10.05548 9.82844 9.86867 9.95977 10.04023 39 22 9.82012 9.87535 9.94477 10.05523 9.82858 9.86855 9.96002 10.03998 38 23 9.82026 9.87524 9.94503 10.05497 9.82872 9.86844 9.96028 10.03972|37| 24 9.82041 9.87513 9.94528 10.05472 9.82885 9.86832 9.96053 10.03947 36 25 9.82055 9.87501 9.94554 10.05446 9.82899 9.86821 9.96078 10.0392235 26 9.82069 9.87490 9.94579 10.05421 9.82913 9.86809 9.96104 10.03896 34 27 9.82084 9.87479 9.94604 10.05396 9.82927 9.86798 9.96129 10.03871 33 28 9.82098 9.87468 9.94630 10.05370 9.82941 9.86786 9.96155 10.03845 32 29 9.82112 9.87457 9.94655 10.05345 9.82955 9.86775 9.96180 10.03820 31 30 9.82126 9.87446 9.94681 10.05319 9.82968 9.86763 9.96205 10.03795 30 31 9.82141 9.87434 9.94706 10.05294 9.82982 9.86752 9.96231 10.03769 29 32 9.82155 9.87423 9.94732 10.05268 9.82996 9.86740 9.96256 10-03744 28 33 9.82169 9.87412 9.94757 10.05243 9.83010 9.86728 9.96281 10.03719 27 34 9.82184 9.87401 9.94783 10.05217 9.83023 9.86717 9.96307 10.03693 26 35 9.82198 9.87390 9.94808 10.05192 9.83037 9.86705 9.96332 | 10.03668 25 36 9.82212 9.87378 9.94834 10.05166 9.83051 9.86694 9.96357 10.03643|24| 37 9.82226 9.87367 9.94859 10.05141 9.83065 9.86682 9.96383 10.03617 23 38 9.82240 9.87356 9.91884 10.05116 9.83078 9.86670 9.96408 10.03592 22 39 9.82255 9.87345 9.94910 10.05090 9.83092 9.86659 9.96433 10.03567 21 40 9.82269 9.87334 9.94935 10.05065 9.83106 9.86647 9.96459 10.03541 20 41 9.82283 9.87322 9.94961 10.05039 9.83120 9.86635 9.96484 10.03516 19 42 9.82297 9.87311 9.94986 10.05014 9.83133 9.86624 9.96510 10.03490 18 43 9.82311 9.87300 9.95012 10.04988 9.83147 9.86612 9.96535 10.03465 17 44 9.82326 9.87288 9.95037 10.04963 9.83161 9.86600 9.96560 10.03440 16 45 9.82340 9.87277 9.95062 10.04938 9.83174 9.86589 9.96586 10.03414 15 46 9.82354 9.87266 9.95088 10.04912 9.83188 9.86577 9.96611 10.03389 14 47 9.82368 9.87255 9.95113 10.04887 9.83202 9.86565 9.96636 10.03364 13 48 9.82382 9.87243 9.95139 10.04861 9.83215 9.86554 9.96662 10.03338 12 49 9.82396 9.87232 9.95164 10.04836 9.83229 9.86542 9.96687 10.03313 11 50 9.82410 9.87221 9.95190 10.04810 9.83242 9.86530 9.96712 10.03288 10 51 9.82424 9.87209 9.95215 10.04785 9.83256 9.86518 9.96738 10.03262 9 52 9.82439 9.87198 9.95240 10.04760 9.83270 9.86507 9.96763 10.03237 53 9.82453 9.87187 9.95266 10.04734 9.83283 9.86495 9.96788 10.03212 54 9.82467 9.87175 9.95291 10.04709 9.83297 9.86483 9.96814 10.03186 6 55 9.82481 9.87164 9.95317 10.04683 9.83310 9.86472 9.96839 10.03161 5 56 9.82495 9.87153 9.95342 10.04658 9.83324 9.86460 9.96864 10.03136 4 57 9.82509 9.87141 9.95368 10.04632 9.83338 9.86448 9.96890 10.03110 3 58 9.82523 9.87130 9.95393 10.04607 9.83351 9.86436 9.96915 10.03085 2 59 9.82537 9.87119 9.95418 10.04582 9.83365 9.86425 9.96940 10.03060 1 60 9.82551 9.87107 9.95444 10.04556 9.83378 9.86413 9.96966 10.03034 Cosine Sine Cotang Tang. Cosine Sine Cotang Tang

48°

470

LOG. SINES AND TANGENTS.

43°

44°

*161

Sine Cosine Tang. Cotang Sine Cosine Tang. Cotang

09.83378 9.86413 9.96966 10.03034 9.84177 9.85693 9.98484 10.01516 60 19.83392 9.86401 9.96991 10.03009 9.84190 9.85681 9.98509 10.01491 59 29.83405 9.86389 9.97016 10.02984 9.84203 9.85669 9.98534 10.01466 58 3 9.83419 9.86377 9.97042 10.02958 9.84216 9.85657 9.98560 10.01440 57 4 9.83432 9.86366 9.97067 10.02933 9.84229 9.85645 9.98585 10.01415 56 5 9.83446 9.86354 9.97092 10.02908 9.84242 9.85632 9.98610 10.01390|55| 6 9.83459 9.86342 9.97118 10.02882 9.84255 9.85620 9.98635 10.01365 54 7 9.83473 9.86330 9.97143 10.02857 9.84269 9.85608 9.98661 10.01339 53 8 9.83486 9.86318 9.97168 10.02832 9.84282 9.85596 9.98686 10.01314 52 9 9.83500 9.86306 9.97193 10.02807 9.84295 9.85583 9.98711 10.01289 51 10 9.83513 9.86295 9.97219 10.02781 9.84308 9.85571 9.98737 10.01263 50 11 9.83527 9.86283 9.97244 10.02756 9.84321 9.85559 9.98762 10.01238 49 12 9.83540 9.86271 9.97269 10.02731 9.84334 9.85547 9.98787 10.01213 48 13 9.83554 9.86259 9.97295 10.02705 9.84347 9.85534 9.98812 10.01188 47 14 9.83567 9.86247 9.97320 10.02680 9.84360 9.85522 9.98838 10.01162 46 15 9.83581 9.86235 9.97345 10.02655 9.84373 9.85510 9.98863 10.01137 45 16 9.83594 9.86223 9.97371 10.02629 9.84385 9.85497 9.98888 10.01112 44 17 9.83608 9.86211 9.97396 10.02604 9.84398 9.85485 9.98913 10.01087 43 18 9.83621 9.86200 9.97421 10.02579 9.84411 9.85473 9.98939 10.01061 42 19 9.83634 9.86188 9.97447 10.02553 9.84424 9.85460 9.98964 10.01036 41 20 9.83648 9.86176 9.97472 10.02528 9.84437 9.85448 9.98989 10.01011 40 21 9.83661 9.86164 9.97497 10.02503 9.84450 9.85436 9.99015 10.00985 39 22 9.83674 9.86152 9.97523 10.02477 9.84463 9.85423 9.99040 10.00960 38 23 9.83698 9.86140 9.97548 10.02452 9.84476 9.85411 9.99065 10.00935 37 24 9.83701 9.86128 9.97573 10.02427 9.84489 9.85399 9.99090 10.0091036 25 9.83715 9.86116 9.97598 10.02402 9.84502 9.85386 9.99116 10.00884 35 26 9.83728 9.86104 9.97624 10.02376 9.84515 9.85374 9.99141 10.00859 34 27 9.83741 9.86092 9.97649 10.02351 9.84528 9.85361 9.99166 10.00834 33 28 9.83755 9.86080 9.97674 10.02326 9.84540 9.85349 9.99191 10.00809 32 29 9.83768 9.86068 9.97700 10.02300 9.84553 9.85337 9.99217 10.00783 31 30 9.83781 9.86056 9.97725 10.02275 9.84566 9.85324 9.99242 10.00758 30 31 9.83795 9.86044 9.97750 10.02250 9.84579 9.85312 9.99267 10.00733 29 32 9.83808 9.86032 9.97776 10.02224 9.84592 9.85299 9.99293 10.00707 28 33 9.83821 9.86020 9.97801 10.02199 9.84605 9.85287 9.99318 10.00682 27 34 9.83834 9.86008 9.97826 10.02174 9.84618 9.85274 9.99343 10.00657 26 35 9.83848 9.85996 9.97851 10.02149 9.84630 9.85262 9.99368 10.00632 25 36 9.83861 9.85984 9.97877 10.02123 9.84643 9.85250 9.99394 10.00606 24 37 9.83874 9.85972 9.97902 10.02098 9.84656 9.85237 9.99419 10.00581 23 38 9.83887 9.85960 9.97927 10.02073 9.84669 9.85225 9.99444 10.00556 22 39 9.83901 9.85948 9.97953 10.02047 9.84682 9.85212 9.99469 10.00531 21 40 9.83914 9.85936 9.97978 10.02022 9.84694 9.85200 9.99495 10.00505 20 41 9.83927 9.85924 9.98003 10.01997 9.84707 9.85187 9.99520 10.00480 19 42 9.83940 9.85912 9.98029 10.01971 9.84720 9.85175 9.99545 10.00455 18 43 9.83954 9.85900 9.98054 10.01946 9.84733 9.85162 9.99570 10.00430 17 44 9.83967 9.85888 9.98079 10.01921 9.84745 9.85150 9.99596 10.00404 16 45 9.83980 9.85876 9.98104 10.01896 9.84758 9.85137 9.99621 10.00379 15 46 9.83993 9.85864 9.98130 10.01870 9.84771 9.85125 9.99646 10.00354 14 47 9.84006 9.85851 9.98155 10.01845 9.84784 9.85112 9.99672 10.00328 13 48 9.84020 9.85839 9.98180 10.01820 9.84796 9.85100 9.99697 10.00303 12 49 9.84033 9.85827 9.98206 10.01794 9.84809 9.85087 9.99722 10.00278 11 50 9.84046 9.85815 9.98231 10.01769 9.84822 9.85074 9.99747 10.00253 10 51 9.84059 9.85803 9.98256 10.01744 9.84835 9.85062 9.99773 10.00227 9 52 9.84072 9.85791 9.98281 10.01719 9.84847 9.85049 9.99798 10.00202 8 53 9.84085 9.85779 9.98307 10.01693 9.84860 9.85037 9.99823 10.00177 54 9.84098 9.85766 9.98332 10.01668 9.84873 9.85024 9.99848 10.00152 55 9.84112 9.85754 9.98357 10.01643 9.84885 9.85012 9.99874 10.00126 56 9.84125 9.85742 9.98383 10.01617 9.84898 9.84999 9.99899 10.00101 57 9.84138 9.85730 9.98408 10.01592 9.84911 9.84986 9.99924 10.00076 58 9.84151 9.85718 9.98433 10.01567 9.84923 9.84974 9.99949 10.00051 59 9.84164 9.85706 9.98458 10.01542 9.84936 9.84961 9.99975 10.00025 60 9.84177 9.85693 9.98484 10.01516 9.84949 9.84949 10.00000 10.00000 · Cosine Sine Cotang Tang. Cosine Sine Cotang Tang. 45°

46°

LAND SURVEYING.

Land Surveying is that art which enables us to give a true plan or representation of any portion of land, and to determine its superficial contents.

In measuring land, the superficial content or area is always expressed in acres, and decimal parts of an acre, or in acres, roods, and perches; each acre containing 4 roods, and each rood 40 perches.

The land surveyor must be provided with instruments accurately constructed; and he must always take particular care that they be properly adjusted.

The principal instruments required, are straight poles shod with iron spikes, so as to be easily driven into the ground; a chain to measure distances; a cross-staff to erect perpendiculars; and a theodolite to measure angles.

The instruments required in plotting, &c. will be noticed hereafter.

The chain most generally used is Gunter's, which is 4 poles, or 22 yards, or 66 feet in length, and is divided into 100 links, each link being of a yard, or 66 of a foot, or 7.92 inches.

100

At the end of every tenth link is attached a piece of brass (each of a different shape ;) and sometimes at the end of every fifth link, a piece of iron, for more readily counting the additional links. An English

L