No. 0 12 3 4 34567 5616 6108 89 Dis 880 944483 944532 944581 944631 944680 944729 944779 944828 9448771944927 49 1 4976 5025 5074 5124 5173 5222 5272 5321 5370 5419 49 2 5469 5518 5567 5665 5715 5764 5813 5961 6010 6059 6157 6207 6256 6452 6501 6551 6600 6649 6698 6747 5 67 5862 5912 49 6305 6354 6403 49 6796 6845 6894 4S 8 7679 7924 7973 8022 8070 8119 8168 8217 8266 8413 8462 8511 8560 8609 8657 8706 9 8902 8951 8999 9048 9097 9146 9195 9244 9292 9341 49 7728 7777 7826 7875 49 1 890 949390 949439 949488 949536 949585 949634 949683 949731 949780 949829 49 9878 9926 9975 950024 950073 950121 950170 950219 950267 950316 49 3760 3808 3856 3905 3953 4001 4049 4098 4146 4194 48 900 954243 954291 954339 954387 954435 954484 954532 954580 954628 954677 48 4725 4773 4821 4869 4918 4966 5014 5062 51.10 5158 48 5207 5255 5303 5351 5399 5447 5495 5543 5592 5640 48 6120 48 6457 6505 6553 6601 48 6936 6984 7032 7080 48 7176 7224 7272 7320 7368 7416 7464 7512 7559 48 7655 7703 7751 7799 8277 7847 7894 8 8086 8134 8181 8229 9 8564 86121 8659 8707 8735 8803 8850 8898 8946 8994 48 910 959041 959089 959137 959185 959232 959280 959328 959375 959423 959471 48 1 9518 9566 9614 9661 9709 9757 9804 9852 9900 9947 48 9995 960042 960090 960138 960185 960233 960281 960328 960376 960423 48 3 960471 0518 0566 0613 0661 0709 0756 0804 08511 0899 48 0994 1041 1089 1136 1184 1231 1279 1326 1421 1469 1516 1563 1611 1658 1706 1753 1895 1943 1990 2038 2085 2132 2180 2227 2369 2417 2464 2511 2559 2606 2653 2701 2748 2843 2890 2937 2985 3032 3079 3126 3174 3221 3268 47 3316 3363 3410 3457 3504 3552 3599 3646 3693 3741 47 9:20 963788 963835 963882 963929 963977 964024 964071 964118 964165 964212 47 4260 2 4731 4778 3 5202 5249 6789 7548 7595 7642 7688 7735 7782 7829 7875 9 8016 8062 8109 8156 8203 8249 8296 8343 8390 8436 47 930 968483 968530 968576 968623 968670 968716 968763 968810 968856 968903 47 1 8950 8996 9043 9090 9136 9183 9229 9276 9323 9369 47 2 9416 9463 9509 9556 9602 9649 9695 9742 9789 9835 47 3 9882 9928 9975 970021 970068 970114 970161 970207 970254 970300 47 4 970347 970393 970440 0486 0533 0579 0626 0672 0719 0765 46 5 0812 0858 0904 0951 0997 1044 1090 1137 1183 1229 46 6 1276 1322 1369 1415 1461 1508 1554 1601 1647 1693 46 1740 1786 1832 1879 1925 1971 2018 2064 2110 2157 46 2203 2249 2295 2342 2388 2434 2481 2527 2573 2619 46 9 2666 2712 2758 2804 2851 2897 2943 29891 3035 3082 46 | 5 | 6 7 8 1 2 3 4972 5018 5110 No. 0 | 1 | 2 | 3 | 4 | 56 | 7 | 8 9 | Diff 940 973128 9731741973220 97326619733131973359 973405|973451 973497 973543 46 3590 3636 3682 3728 3774 3820 3866 3913 3959 4005 46 4051 4097 4143 4189 4235 4281 4327 4374 4420 4466 46 4512 4558 4604 4650 4696 4742 4788 5064 4834 4880 4926 46 5156 5202 5248 5294 5340 5386 46 6396 6442 6350 6625 6671 8 6808 6854 6900 6992 7037 7083 7129 7175 9 7266 7312 7358 7403 7449 7495 7541 7586 7632 7678 46 950 977724 977769 977815 977861 977906 977952 977998 978043 978089 978135 46 1 8181 8226 8272 8317 8363 8409 8454 8500 8546 8591 46 2 8637 8683 8728 8774 8865 8911 8956 9002 9093 9138 9184 9230 9321 9366 9412 9457 9503 46 9548 9594 9639 9685 9730 9776 9821 9867 9912 9958 46 5 980003 980049 980094 980140 980185 980231 980276 980322 980367 980412 45 6 0458 0503 0549 0594 0640 0685 0730 0776 0821 0867 45 7 0912 0957 1003 1048 1093 1139 1184 1229 1275 1320 45 8 1366 1411 1456 1501 1547 1592 1637 1683 1728 1773 45 9 1819 1864 1909 1954 2000 2045 2090 2135 2181 2226 45 3 1 2 3 960 982271 982316 982362 982407 982452 982497 982543 982588 982633 982678 45 2723 2769 2814 2859 2904 2949 2994 3040 3085 3130 45 3175 3220 3265 3310 3356 3401 3446 3491 3536 3626 3671 3716 3762 3807 3852 3897 3942 3987 4077 4122 4167 4212 4257 4302 4347 4392 4437 4527 4572 4617 4662 4707 4752 4977 5022 5067 5112 5157 8 5875 5920 5965 6010 6055 6100 6144 6189 6234 6279 45 9 6324 6369 6413 6458 6503 6548 6593 6637 6682 6727 45 970 986772 986817 986861 986906 986951 986996 987040 987085 987130 987175 45 7219 7264 7309 7353 7398 7443 7488 7532 7577 7622 45 7711 7756 7800 7845 7890 7934 8157 8202 8247 8291 8336 8381 8604 8648 8693 8737 8782 8826 9005 9049 9094 9138 9450 9494 9539 9583 9628 9672 9717 9761 9806 9850 44 7 9895 9939 9983 990028 990072 990117 990161 990206 990250 990294 44 8 990339 990383 990428 0472 0516 0561 0605 0650 0694 0738 44 9 0783 0827 0871 0916 0960 1004 1049 1093 1137 1182 44 980 991226 991270 991315 991359 991403 991448 991492 991536 991580 991625 44 1 1669 1713 1758 1802 1846 1890 1935 1979 2023 2067 44 2244 2288 2333 2377 2421 2465 2686 3127 3172 3216 3568 3613 3657 4009 4053 4097 990 995635 995679 995723 995767 995811 995854 995898 995942 995986 996030 44 1 6074 6117 6161 6205 6249 6293 6337 6380 6424 6468 44 2 6512 6555 6599 6643 3 6949 6993 7037 7080 7386 7430 7474 7517 7823 7867 7910 7954 7998 8041 6 8259 8303 8347 8390 8434 8477 TABLE XIII. LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. N. B.-THE minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top; and those increasing upwards, in the right-hand column, belong to the degrees below. In using the differences for one second, in columns D, the two right-hand figures should be marked off as decimals. Thus the difference for log. sin. 1° 12' 5" would be 99.82 X 5499.1. additive to the mantissa .321027 treated as an integer, and the difference for log. cos. 8° 30′ 50′′ would be 0.30 X 50 16.0 subtractive from the mantissa .995203 treated as an integer. = The differences in columns D range opposite the upper one of the two functions to which they respectively apply. The first column D refers to Sines, the second to Cosines, the third to both Tangents and Cotangents. |