36 



Table 1 3 [continued). 



CIRCULAR (TRIGONOMETRIC) FUNCTIONS. 



0.6283 

 0.6312 

 0.6341 

 0.6370 

 0.6400 

 0.6429 



0.6458 

 0.6487 

 0.6516 

 0.6545 

 0.6574 

 0.6603 



0.6632 

 0.6661 

 0.6690 

 0.6720 

 0.6749 

 0.6778 



0.6807 

 0.6836 

 0.6S65 

 0.6S94 

 0.6923 

 0.6952 



0.6981 

 0.7010 

 0.7039 

 0.7069 

 0.7098 

 0.7127 



0.7156 

 0.7185 

 0.7214 



0.7243 

 0.7272 

 0.7301 



07330 

 0.7359 

 0.7389 

 0.7418 



0-7447 

 0.7476 



0.7505 

 07 534 

 0.7563 

 0.7592 

 0.7621 

 0.7650 



0.7679 

 0.7709 



0773'^ 

 0.7767 

 0.7796 

 0.7825 



0.7854 



WW 



o 



^6°oo' 



30 



40 



50 



37°oo' 



30 

 40 

 50 

 38°oo' 

 10 

 20 



30 

 40 



50 



39°oo' 



40 

 50 



40°oo' 

 10 

 20 

 30 

 40 

 50 



4i°oo' 

 10 

 20 



30 

 40 



50 



42°00' 



10 

 20 



30 

 40 



so 



43°oo' 

 10 

 20 

 30 

 40 

 50 



44°oo' 



30 



40 



50 

 45°oo' 



SINES. 



Nat. Log. 



5878 

 5901 

 5925 

 5948 

 5972 



5995 

 6018 

 6041 

 6065 

 60S8 

 6111 

 6134 

 6157 

 6180 

 6202 

 6225 

 6248 

 6271 



6293 

 6316 

 6338 

 6361 



63S3 

 6406 



9.7692 

 .7710 

 7727 

 7744 

 .7761 

 7778 



97795 

 .7811 



7828 



7844 

 .7861 



7877 



97893 

 .7910 

 .7926 

 7941 

 7957 

 7973 



97989 



.8020 

 .8035 

 .8050 

 .8066 



6428 9.8081 



6450 .8096 



6472 .Bin 



6494 -8125 



6517 .8140 



6539 -8155 



6561 9.8169 



6583 .8184 



6604 .8198 



6626 .8213 



6648 .8227 



6670 .8241 



6691 9.8255 



6713 .8269 



6734 -8283 



6756 .8297 



6777 .8311 



6799 .8324 



6820 9.8338 



6841 .8351 



6862 .8365 



6884 .8378 



6905 -8391 



6926 .8405 



6947 9.8418 



6967 .8431 



69S8 .8444 



7009 .8457 



7030 .8469 



7050 .8482 



7071 9.849s 



Nat. Log. 



COSINES. 



COSINES. TANGENTS. 



Nat. Log. Nat. Log. 



,8ogo g.9080 



,8073 .9070 



,8056 .9061 



8039 .9052 



,8021 .9042 



,8004 .9033 



7986 9.9023 



7969 .9014 



,7951 .9004 



7934 -8995 



7916 .8985 



7898 .8975 



,7880 9.8965 



7S62 .8955 



7844 .8945 



7826 .8935 



7808 .8925 



7790 -8915 



7771 9.8905 



7753 -8895 



7735 -8884 



7716 .8874 



7698 .8864 



7679 .8853 



7660 9.8843 



7642 .8832 



,7623 .8821 



7604 .8810 



7585 .8800 



7566 .8789 



7547 9-8778 



.7528 .8767 



7509 -8756 



7490 .8745 



7470 .8733 



,7451 .8722 



7431 9.87 1 1 



7412 .8699 



7392 .8688 



7373 -8676 



7353 -8665 



73Z2, -8653 



.7314 9.8641 



,7294 .8629 



.7274 .8618 



.7254 .8606 



,7234 .8594 



.7214 .8582 



7193 9-8569 



7173 -8557 



■7153 -8545 



7133 -8532 



.7112 .8520 



.7092 .8507 



.7071 9.8495 



Nat Log. 



SINES. 



7265 



7310 



7355 

 7400 



7445 

 7490 



7536 



7581 

 7627 



7673 

 7720 

 7766 



7813 

 7860 



7907 

 7954 

 8002 

 8050 



9-8613 

 .8639 

 .8666 

 .8692 

 .8718 

 .8745 



9.8771 



•8797 

 .8824 

 .8850 

 .8876 

 .8902 



9.8928 



•8954 

 .8980 

 .9006 

 .9032 

 .9058 



9.9084 

 .9110 



•9135 

 .9161 

 .9187 

 .9212 



9.9238 

 .9264 

 .92S9 

 -9315 

 •9341 

 .9366 



9.9392 

 .9417 



•9443 

 .9468 



•9494 

 •9519 



9-9544 

 •9570 



•9595 

 .9621 

 .9646 

 .9671 



9.9697 

 .9722 



•9747 

 .9772 

 .9798 

 •9823 

 9.9848 



•9874 

 .9899 

 .9924 

 •9949 

 •9975 

 1. 0000 0.0000 



8146 

 8195 

 8243 

 8292 



8342 



8391 

 8441 

 8491 

 8541 

 8591 

 8642 



8693 



8744 

 8796 

 8847 

 8899 

 8952 



9004 



9057 

 9110 

 9163 

 9217 

 9271 



9325 

 9380 



9435 

 9490 



9545 

 9601 



9657 



9713 

 9770 

 9827 

 9884 

 9942 



Nat. Log. 



COTAN- 

 GENTS, 



COTANGENTS 



Nat. Log. 



3764 

 3680 



3597 

 3514 

 3432 

 3351 

 3270 

 3190 

 31II 



3032 

 2954 

 2876 



2799 

 2723 

 2647 

 2572 

 2497 

 2423 



2349 

 2276 

 2203 

 2131 

 2059 

 1988 



1918 



1847 

 1778 

 1708 

 1640 

 1571 



1504 

 1436 

 1369 



1303 

 1237 

 II71 



1 106 

 IO41 

 0977 



0913 

 0850 

 0786 



0724 

 0661 

 0599 

 0538 

 0477 

 0416 



035s 

 0295 



0235 

 0176 

 0117 



.0058 



0000 



0.1387 

 .1361 



•1334 



.130S 

 .1282 

 .1255 



0.1229 

 .1203 

 .1176 

 .1150 

 .1124 

 .1098 



0.1072 

 .1046 

 .I020 



•0994 

 .O96S 

 .0942 



0.0916 

 .0890 

 .0865 

 .0839 

 .0813 

 .0788 



0.0762 

 .0736 

 .0711 

 .0685 

 .0659 

 .0634 



0.0608 

 •0583 

 •0557 

 •0532 

 .0506 

 .O4S1 



0.0456 

 .0430 

 .0405 

 •0379 

 •0354 

 •0329 



0.0303 

 .0278 



•0253 

 .O22S 

 .0202 

 .0177 



0.0152 

 .0126 

 .0101 

 .0076 

 •0051 

 .0025 



0.0000 



Nat. Log. 



TANGENTS. 



54"oo' 



50 

 40 



30 

 20 

 10 



53°oo' 



50 

 40 



30 

 20 

 10 



52°00' 



50 

 40 

 30 



20 



10 



5i°oo' 



50 



40 



ID 



5o°oo' 

 50 

 40 



10 



49°oo' 



50 

 40 



30 

 20 

 10 



48°oo' 



50 

 40 

 30 

 20 

 10 



47°oo' 



50 

 40 



30 

 20 

 10 



46°oo' 



50 

 40 



10 



45"oo' 



t/5 



wa 

 o 



Smithsonian Tables. 



