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LOGARITHMS of the FIRST and SECOND CORRECTIONS.

The First Correction is always to be taken from the Top, and also the Second, when the
Apparent Distance is greater than 900.

28'

4 DEGREES.
29'

30'

31' 32' 33'

34'

24' 25' 26' 27' 35' 01.6990 1.71121.7238 1.73681.7501 1.7639 1.77821.7929 1.80811.82391.8403 1.8573 60 6992 7114 7240 7370 7503 7641 7784 7931 80841 8242 8406 8576 59 6994 7116 7242 7372 7506 7644 7786 7934 8086 8244 8409 8579 58 6996 7118 7244 7374 7508 7646 7789 7936 8089 8247 8411 8582 57

2345

6998 7120 7246 7376 7510 7648 7791 7939 8091 8250 8414 8585 56

51.7000 1.71221.72491.7379 1.75131.76511.77941.7941 1.80941.8253 1.8417 1.8588 55

8

9

8608 48

8611 47 8614 46

7002 7124 7251 7381 7515 7653 7796 7944 8097 8255 8420 8591 54 7004 7127 7253 7383 7517 7655 7798 7946 8099 8258 8423 8594 53 7006 7129 7255 7385 7519 7658 7801 7949 8102 8201 8425 8597 52 7008 7131 7257 7387 7522 7660 7803 7951 8104 8263 8428 8599 51 10 1.70101.7133 1.7259|1.73901.75241.7663|1.7806|1.7954|1.8107 1.8266 1.84311.8602 50 11 7012 7135 7261 7392 7526 7665 7808 7956 8110 8269 8434 8605 49 12 7014 7137 7264 7394 7528 7667 7811 7959 8112 8271 8437 13 7016 7139 7266 7396 7531 7670 7813 7961 8115 8274 $439 14 7018 7141 7268 7398 7533 7672 7815 7964 8117 8277 8442 15 1.70201.71431.72701.7401 1.7535 1.76741.78181.7966 1.8120 1.82791.8445 1.8617 45 16 7022 7145 7272 7403 7538 7677 7820 7969 8123 8282 8448 8620 44 17 7024 7147 7274 7405 7540 7679 7823 7971 8125 8285 8451 8623 43 18 7026 7149 7276 7407 7542 7681 7825 7974 8128 8288 8453 8626 42 19 7028 7152 7279 7409 7544 7684 7828 7976 8131 8290 8456 8629 41 20 1.70301.7154 1.72811.74121.7547 1.7686 1.7830 1.7979 1.8133 1.8293 1.8459 1.8632 40 21 7032 7156 7283 7414 7549 7688 7832 7981 8136 8296 8462 8635 39 7158 7285 7416 7551 7691 7835 7984 8138 8298 8465 7160 7287 7418 7554 7693 7837 7987 8141 8301 8467 24 7038 7162 7289 7421 7556 7696 7840 7989 8144 8304 8470 8643 36 25 1.70401.7164 1.7291|1.74231.7558 1.7698|1.7842 1.7992 1.8146 1.8307 1.8473 1.8646 35 26 7042 7166 7294 7425 7560 7700 7845 7994 8149 8309 8476 27 7044 7168 7296 7427 7563 7703 7847 7997

22 7034 23 7036

28

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31

35 1.70611.7185 1.73131.74451.75811.77221.7867 1.8017|1.8173 1.8334 1.8502 1.8676 25

8682 23

36 7063 7187 7315 7447 7583 7724 7869 8020 8175 8337 8504 8679 24 37 7065 7189 7317 7450 7586 7726 7872 8022 8178 8339 8507 38 7067 7191 7320 7452 7588 7729 7874 8025 8181 8342 8510 39 7069 7193 7322 7454 7590 7731 7877 8027 8183 8345 8513

8685 22

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40 1.70711.7196 1.73241.7456 1.7593 1.7734 1.78791.8030 1.8186 1.8348 1.85161.8691 20 41 7073 7198 7326 7458 7595 7736 7882 8032 8188 8350 8519 8694 19 42 7075 7200 7328 7461 7597 7738 7884 8035 8191 8353 8522 8697 18 43 7077 7202 7330 7463 7600 7741 7887 8037 8194 8356 8524 8709 17 44 7079 7204 7333 7465 7602 7743 7889 8040 8196 8359 8527 8703 16

45 1.70811.7206|1.7335|1.7467|1.7604|1.77451.78911.8043 1.8199 1.8361 1.8530 1.8706 15 7607 7748 7894 8045 8202 8364 8533 8709 14

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7085 7210 7339 7472 7609 7750 7896 8048 7087 7212 7341 7474 7611 7753 7899 8050 7089 7215 7344 7476 7613 7755 7901 8053 8210 8372 8542 8718 11 50 1.70911.72171.73461.7479|1.76161.77581.7904 1.8055 1.82121.8375 1.8544 1.8721 10 7093 7219 7348 7481 7618 7760 7906 8058 8215 8378 8547 8724 52 7096 7221 7350 7483 7620 7762 7909 8061 8218 8381 8550 8727 8 53 7098 7223 7352 7485 7623 7765 7911 8063 8220 8384 8553 8730 7 7100 7225 7354 7488 7625 7767 7914 8066 8223 8386 8556 8733 6 55 1.71021.7227 1.7357 1.7490|1.7627 1.7769 1.7916 1.80681.82261.8389 1.85591.8736 56 7104 7229 7359 7492 7630 7772 7919 8071 8228 8392 8562 8739 4 57 7106 7232 7361 7494 7632 7774 7921 S073 8231 8395 8565 8712 3 58 7108 7234 7363 7497 7634 7777 7924 8076 8234 8397 8568 8745 2 59 7110 7236 7365 7499 7637 7779 7926 8079 8236 8400 8570 8748 1 60 7112 7238 7368 7501 7639 7782 7929 8081 8239 8403 8573 8751 0 35' 34' 33' 32' 31' 30' 29' 28' 27' 5 DEGREES.

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LOGARITHMS of the FIRST and SECOND CORRECTIONS.

The First Correction is always to be taken from the Top, and also the Second, when the
Apparent Distance is greater than 900.

4 DEGREES.

S

36' 37' 38' 39' 40' 41' 0 1.87511.8935|1.9128|1.93311.95421.9765 2.00002.02482.05122.07922.10912.1413 60 8754 8939 9132 9334 9546 9769 0004 0252 0516 0797 1097 1119 59 8757 8942 9135 9337 9550 9773 0008 0257 0521 0801 1102 1424 58 8760 8945 9138 9341 9553 9777 0012 0261 0525 0806 1107 1430 57

42

43'

44'

45'

46'

47

8763 8948 9142 9344 9557 9780 0016 0265 0530 0811 1112 1436 56 5 1.87661.8951 1.9145|1.9348|1.9561 1.97842.00202.02702.05342.08162.11172.1441 55 8769 8954 9148 9351 9564 9788 0024 0274 0539 0821 1123 1447 54 8772 8958 9152 9355 9568 9792 0028 0278 0543 0826 8775 8961 9155 9358 9571 9796 0032 0282 0548 0831 1133 9 8778 8964 9158 9362 9575 9800 0036 0287 0552 0835 1138 1464 51

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1452 53

1458 52

1481 48 1486 47

10 1.87811.8967|1.9162|1.9365|1.95791.98032.0040 2.0291 2.0557 2.08402.11432.1469 50 11 8784 8970 9165 9369 9582 9807 0044 0295 0562 0845 1149 1475 49 12 8787 8973 9168 9372 9586 9811 0049 0300 0566 0850 1154 8799 8977 9172 9376 9590 9815 0053 0304 0571 0855 1159 8793 8980 9175 9379 9593 9819 0057 0308 0575 0860 1164 1492 46 15 1.87961.8983 1.9178 1.9383 1.9597 1.9823 2.00612.03132.0580 2.08652.11702.1498 45

13

14

17 8802 8989 9185 9390 18 8805 8992 9188 9393

1509 43 1515 42

16 8799 8986 9181 9386 9601 9827 0065 0317 0585 0870 1175 1503 44 9604 9830 0069 0321 0589 0875 1180 9608 9834 0073 0326 0594 0880 1186 19 8808 8996 9191 9397 9612 9838 0077 0330 0598 0884 1191 1520 41 20 1.88111.8999 1.9195 1.9400 1.96151.98422.0081 2.03342.0603 2.0889 2.11962.1526 40 21 8814 9002 9198 9404 9619 9846 0085 0339 0608 0894 1201 1532 39 22 8817 9005 9201 9407 9623 9850 0089 0343 0612 0899 1207 1538 38 23 8821 9008 9205 9411 9626 9854 0093 0347 0617 0904 1212 1543 37 24 8824 9012 9208 9414 9630 9858 0098 0352 0621 0909 1217 1549 36 25 1.88271.9015 1.92121.94181.9634 1.9861 2.0102 2.03562.06262.09142.1223 2.1555 35 26 8830 9018 9215 9421 9638 9865 0106 0360 0631 0919 1228 1561 34 27 8833 9021 9218 9425 9641 9869 0110 0365 0635 0924 1233 1566 33 28 8836 9024 9222 9428 9645 9873 0114 0369 0640 0929 1239 1572 32 29 8839 9028 9225 9432 9649 9877 0118 0374 0615 0934 1244 1578 31 30 1.88421.90311.9228|1.9435 1.9652 1.98812.01222.03782.06492.09392.12492.1584 30 31 8845 9034 9232 9439 9656 9885 0126 0382 0654 0944 1255 1589 29 32 8848 9037 9235 9442 9660 9889 0131 0387 0659 0949 1260 8851 9041 9238 9446 9664 9893 0135 0391 0663 0954 1266 34 8854 9044 9242 9449 9667 9897 0139 0395 0668 0959 1271 1607 26 35 1.88571.9047 1.9245 1.9453 1.9671 1.99012.01432.04002.0673 2.0964 2.12762.1613 25 36 8861 9050 9249 9456 9675 9905 0147 0404 0678 0969 1282 1619 24 37 8864 9053 9252 9460 9678 9908 0151 0409 0682 0974 1287 1624 23 38 8867 9057 9255 9464 0413 0687 0979 1630 22 39 8870 9060 9259 9467 9686 9916 0160 0418 0692 0984 1298 1636 21

33

41

42

9682 9912

0156

1292

1595 28

1601 27

40 1.8873 1.9063 1.9262 1.9471 1.9690 1.99202.01642.04222.0696 2.09892.1303 2.1642 20 8876 9066 9266 9474 9693 9924 0168 0426 0701 0994 1309 1648 19 8879 9070 9269 9478 9697 9928 0172 0431 0706 0999 1314 1654 18 43 8882 9073 9272 9481 9701 9932 0176 0435 0711 1004 1320 1660 17 44 8885 9076 9276 9485 9705 9936 0181 0440 0715 1009 1325 1665 16

45 1.88881.9079 1.9279 1.9488 1.9708 1.99402.01852.0444 2.07202.1015 2.13312.1671 15 46 8892 9083 9283 9492 9712 9944 0189 0449 0725 1020 1336 1677 14 47 8895 9086 9286 9496 9716 9948 0193 0453 0730 1025 1342 1683 13 48 8898 9089 9289 9499 9720 9952 0197 0458 0734 1030 1347 1689 12 49 8901 9092 9293 9503 9723 9956 0202 0462 0739 1035 1352 1695 11

5

50 1.8904 1.9096 1.9296|1.9506|1.9727|1.99602.02062.0467 2.07442.1040 2.13582.1701 10 51 8907 9099 9300 9510 9731 9964 0210 0471 0749 1045 1363 1707 9 52 8910 9102 9303 9514 9735 9968 0214 0475 0753 1050 1369 1713 8 53 8913 9106 9306 9517 9739 9972 0219 0480 0758 1055 1374 1719 7 54 8917 9109 9310 9521 9742 9976 0223 0484 0763 1061 1380 1725 6 55 1.8920 1.91121.93131.9524 1.9746|1.9980 2.0227 2.0489 2.07682.10662.1386 2.1731 8923 9115 9317 9528 9750 9984 0231 0493 0773 1071 1391 1737 57 8926 9119 9320 9532 9754 9988 0235 0498 0777 1076 1397 1743 58 8929 9122 9324 9535 9758 9992 59 8932 9125 9327 9539 9761 9996 60 8935 9128 9331 9542 9765 2.0000 23' 22' 21' 20' 19'

56

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S.

5 DEGREES.

LOGARITHMS of the FIRST and SECOND CORRECTIONS.

The First Correction is always to be taken from the Top, and also the Second, when the
Apparent Distance is greater than 900.

49'

50'

51'

52'

4 DEGREES.
53'

54'

59'

S. 48' 55' 56' 57' 58' 0 2.17612.21392.2553 2.30102.35222.41022.4771 2.5563 2.65322.77822.95423.2553 60 1767 2145 2560 3018 3531 4112 4783 5578 6550 7806 9579 2626 59 2 1773 2152 2567 3026 3540 4122 4795 5592 6568 7830 9615 2700 58 1779 2159 2574 3034 3549 4133 4808 5607 6587 7855 9652 2775 57 1785 2165 2582 3043 3558 4143 4820 5621 6605 7879 9690 2852 56

6

5 2.17912.21722.25892.3051 2.3567 2.41542.48322.56362.6624 2.7904 2.9727 3.2931 55 1797 2178 2596 3059 3576 4164 4844 5651 6642 7929 9765 3010 54 1803 2185 2604 3067 3586 4175 4856 5666 6661 7954 9803 8 1809 2192 2611 3075 3595 4185 4869 5680' 6679 7979 9842

3091 53 3174 52 1816 2198 2618 3083 3604 4196 4881 5695 6698 8004 9881 3259 51 10 2.18222.2205 2.26262.3091 2.36132.4206 2.48942.57102.67172.80302.99203.3345 50 8055 9960 3432 49 80813.0000 3522 48 8107 0040 3613 47 8133 0081 3707 46

12

13

2648

11 1828 2212 2633 3100 3623 4217 4906 5725 6736 1834 2218 2640 3108 3632 4228 4918 5740 6755 1840 2225 3116 3641 4238 4931 5755 6774 14 1846 2232 2655 3124 3650 4249 4943 5771 6793 15 2.18522.22392.2663 2.31332.3660 2.4260 2.49562.57862.68122.81593.01223.3802 45

16 1859 2245 2670 3141 3669 4270 4969 5801 6832 8186 0164 3900 44
17 1865 2252 267 3149
18 1871 2259 2685 3158

3678 4281 4981 5816 6851 8212 0206
3688 4292 4994
5832 6871 8239 0248

4000 43 4102 42

19 1877 2266 2692 3166 3697 4303 5007 5847 6890 8266 0291 4206 41

20 2.18832.22722.2700 2.31742.3707 2.43142.50192.5863 2.69102.82933.03343.4314 40 21 1889 2279 2707 3183 3716 4325 5032 5878 6930 8320 0378 4424 39 22 1896 2286 2715 3191 37261 4335 5045 5894 6950 8348 0422 4536 38 23 1902 2293 2722 3199 3735 4346 5058 5909 6970 8375 0467 4652 37 24 1908 2300 2730 3208 3745 4357 5071 5925 6990 8403 0512 4771 36

25

26

27

28

2313 2745 3225 3764

2.1914 2.2307 2.27382.32162.37542.43682.50812.5941 2.7010 2.84313.0557 3.4894 35 1921 1927 2320 2753 3233 3773 1933 2327 2760 3242 3783 29 1939 2334 2768 3250 3792

30

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31 1952 2348 2783 3267 3812

32 1958 2355 2791 3276 3821 33 1965 2362 2798 3284 3831

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35

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2.1977 2.2375 2.28142.3301 2.3851 2.4480 2.52152.61022.72172.87213.1040 3.6355 25

6717 23 6910 22

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37 1990 23891 38 1996 2396

41

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40 2.2009 2.24102.2852 2.3345 2.3900 2.45362.5283 2.6185 2.73242.88733.1303 3.7324 20 2016 2417 2860 3353 3910 4548 5296 6201 7346 8904 1358 7547 19 2022 2424 2868 3362 3919 4559 5310 6218 7368 8935 1413 2028 2431 2876 3371 3929 4571 5324 6235 7390 8967 1469 44 2035 2438 2883 3379 3939 4582 5337 6252 7412 8999 1526 45 2.20412.24452.2891 2.33882.39492.45942.53512.6269 2.7434 2.9031 3.1584 3.8573 15

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2.2073 2.2481 2.2931 2.34322.4000 2.46522.54212.63552.7547 2.9195 3.1883 4.0334 10 51 2080 2488 2939 3441 4010 4664 5435 6372 7570 9228 1946 0792 9 2086 2495 2946 3450 4020 4676 5449 6390 7593 9262 2009 1303 2093 2502 2954 3459 4030 4688 5463 6407 7616 9296 2073 1883 54 2099 2510 2962 3468 4040 4699 5477 6425 7639 9331 2139 2553 6 55 2.21062.25172.2970 2.34772.40502.47112.54912.64432.7663 2.9365 3.2205 4.3345 5 56 2113 2524 2978 3486 4061 4723 5506 6460 7686 9400 2272 4314 4 2119 2531 2986 3495 4071 4735 5520 6478 7710 9435 2341 5563

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D's

THIRD CORRECTION, to APPARENT DISTANCE 20°

APPARENT ALTITUDE OF THE SUN, OR A STAR.

D's

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89 90 10° 11° 12° 14° 16° 18° 20° 22° 24° | 26° | 28° | 30° Alt 77

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