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Contributed by Yale Peabody Museum of Natural History.
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Transcription
TABLE V. TANGENTS AND EXTERNALS TO A 1° CURVE
I T E I=10°
1° 50.00 .218 +
10' 58.34 .297 5° C.
20' 66.67 .388 T
30' 75.01 .491 .03
40' 83.34 .606 E
50' 91.68 .733 .001
2° 100.01 .873
10' 108.35 1.024
20' 116.68 1.188
30' 125.02 1.364
40' 133.36 1.552
50' 141.70 1.752
3° 150.04 1.964 10° C.
10' 158.38 2.188 T
20' 166.72 2.425 .06
30' 175.06 2.674 E
40' 183.40 2.934 .003
50' 191.74 3.207
4° 200.08 3.492 15° C.
10' 208.43 3.790 T
20' 216.77 4.099 E
30' 225.12 4.421 .09
40' 233.47 4.755 .004
50' 241.81 5.100
5° 250.16 5.459 20° C.
10' 258.51 5.829 T
20' 266.86 6.211 E
30' 275.21 6.606 .13
40' 283.57 7.013 .006
50' 291.92 7.432
6° 300.28 7.863 25° C.
10' 308.64 8.307 T
20' 316.99 8.762 E
30' 325.35 9.230 .16
40' 333.71 9.710 .007
50' 342.08 10.202
7° 350.44 10.707 30° C.
10' 358.81 11.224 T
20' 367.17 11.753 E
30' 375.54 12.294 .19
40' 383.91 12.847 .008
50' 392.28 13.413
8° 400.66 13.991
10' 409.03 14.582
20' 417.41 15.184
30' 425.79 15.799
40' 434.17 16.426
50' 442.55 17.065
9° 450.93 17.717
10' 459.32 18.381
20' 467.71 19.058
30' 476.10 19.746
40' 484.49 20.447
50' 492.88 21.161
10° 501.28 21.887
10' 509.68 22.624
20' 518.08 23.375
30' 526.48 24.138
40' 534.89 24.913
50' 543.29 25.700
I T E I=20°
11° 551.70 26.500 +
10' 560.11 27.313 5° C.
20' 568.53 28.137 T
30' 576.95 28.974 .06
40' 585.36 29.824 E
50' 593.79 30.686 .006
12° 602.21 31.561
10' 610.64 32.447
20' 619.07 33.347
30' 627.50 34.259
40' 635.93 35.183
50' 644.37 36.120
13° 652.81 37.070 10° C.
10' 661.25 38.031 T
20' 669.70 39.006 .13
30' 678.15 39.993 E
40' 686.60 40.992 .011
50' 695.06 42.004
14° 703.51 43.029 15° C.
10' 711.97 44.066 T
20' 720.44 45.116 E
30' 728.90 46.178 .19
40' 737.37 47.253 .017
50' 745.85 48.341
15° 754.32 49.441 20° C.
10' 762.80 50.554 T
20' 771.29 51.679 E
30' 779.77 52.818 .26
40' 788.26 53.969 .022
50' 796.75 55.132
16° 805.25 56.309 25° C.
10' 813.75 57.498 T
20' 822.25 58.699 E
30' 830.76 59.914 .32
40' 839.27 61.141 .028
50' 847.78 62.381
17° 856.30 63.634 30° C.
10' 864.82 64.900 T
20' 873.35 66.178 E
30' 881.88 67.470 .39
40' 890.41 68.774 .034
50' 898.95 70.091
18° 907.49 71.421
10' 916.03 72.764
20' 924.58 74.119
30' 933.13 75.488
40' 941.69 76.869
50' 950.25 78.264
19° 958.81 79.671
10' 967.38 81.092
20' 975.96 82.525
30' 984.53 83.972
40' 993.12 85.431
50' 1001.7 86.904
20° 1010.3 88.389
10' 1018.9 89.888
20' 1027.5 91.399
30' 1036.1 92.924
40' 1044.7 94.462
50' 1053.3 96.013
I T E I=30°
21° 1061.9 97.577 +
10' 1070.6 99.155 5° C.
20' 1079.2 100.75 T
30' 1087.8 102.35 .10
40' 1096.4 103.97 E
50' 1105.1 105.60 .013
22° 1113.7 107.24
10' 1122.4 108.90
20' 1131.0 110.57
30' 1139.7 112.25
40' 1148.4 113.95
50' 1157.0 115.66
23° 1165.7 117.38 10° C.
10' 1174.4 119.12 T
20' 1183.1 120.87 .19
30' 1191.8 122.63 E
40' 1200.5 124.41 .025
50' 1209.2 126.20
24° 1217.9 128.00 15° C.
10' 1226.6 129.82 T
20' 1235.3 131.65 E
30' 1244.0 133.50 .29
40' 1252.8 135.35 .038
50' 1261.5 137.23
25° 1270.2 139.11 20° C.
10' 1279.0 141.01 T
20' 1287.7 142.93 E
30' 1296.5 144.85 .39
40' 1305.3 146.79 .051
50' 1314.0 148.75
26° 1322.8 150.71 25° C.
10' 1331.6 152.69 T
20' 1340.4 154.69 E
30' 1349.2 156.70 .49
40' 1358.0 158.72 .065
50' 1366.8 160.76
27° 1375.6 162.81 30° C.
10' 1384.4 164.86 T
20' 1393.2 166.95 E
30' 1402.0 169.04 .49
40' 1410.9 171.15 .065
50' 1419.7 173.27
28° 1428.6 175.41
10' 1437.4 177.55
20' 1446.3 179.72
30' 1455.1 181.89
40' 1464.0 184.08
50' 1472.9 186.29
29° 1481.8 188.51
10' 1490.7 190.74
20' 1499.6 192.99
30' 1508.5 195.25
40' 1517.4 197.53
50' 1526.3 199.82
30° 1535.3 202.12
10' 1544.2 204.44
20' 1553.1 206.77 .59
30' 1562.1 209.12 E
40' 1571.0 211.48 .078
50' 1580.0 213.86
T = R tan ½I E = R exsec ½I
```</result>```json <think>
</think>
```json
{
"text": "TABLE V. TANGENTS AND EXTERNALS TO A 1° CURVE
I T E I=10°
1° 50.00 .218 +
10' 58.34 .297 5° C.
20' 66.67 .388 T
30' 75.01 .491 .03
40' 83.34 .606 E
50' 91.68 .733 .001
2° 100.01 .873
10' 108.35 1.024
20' 116.68 1.188
30' 125.02 1.364
40' 133.36 1.552
50' 141.70 1.752
3° 150.04 1.964 10° C.
10' 158.38 2.188 T
20' 166.72 2.425 .06
30' 175.06 2.674 E
40' 183.40 2.934 .003
50' 191.74 3.207
4° 200.08 3.492 15° C.
10' 208.43 3.790 T
20' 216.77 4.099 E
30' 225.12 4.421 .09
40' 233.47 4.755 .004
50' 241.81 5.100
5° 250.16 5.459 20° C.
10' 258.51 5.829 T
20' 266.86 6.211 E
30' 275.21 6.606 .13
40' 283.57 7.013 .006
50' 291.92 7.432
6° 300.28 7.863 25° C.
10' 308.64 8.307 T
20' 316.99 8.762 E
30' 325.35 9.230 .16
40' 333.71 9.710 .007
50' 342.08 10.202
7° 350.44 10.707 30° C.
10' 358.81 11.224 T
20' 367.17 11.753 E
30' 375.54 12.294 .19
40' 383.91 12.847 .008
50' 392.28 13.413
8° 400.66 13.991
10' 409.03 14.582
20' 417.41 15.184
30' 425.79 15.799
40' 434.17 16.426
50' 442.55 17.065
9° 450.93 17.717
10' 459.32 18.381
20' 467.71 19.058
30' 476.10 19.746
40' 484.49 20.447
50' 492.88 21.161
10° 501.28 21.887
10' 509.68 22.624
20' 518.08 23.375
30' 526.48 24.138
40' 534.89 24.913
50' 543.29 25.700
I T E I=20°
11° 551.70 26.500 +
10' 560.11 27.313 5° C.
20' 568.53 28.137 T
30' 576.95 28.974 .06
40' 585.36 29.824 E
50' 593.79 30.686 .006
12° 602.21 31.561
10' 610.64 32.447
20' 619.07 33.347
30' 627.50 34.259
40' 635.93 35.183
50' 644.37 36.120
13° 652.81 37.070 10° C.
10' 661.25 38.031 T
20' 669.70 39.006 .13
30' 678.15 39.993 E
40' 686.60 40.992 .011
50' 695.06 42.004
14° 703.51 43.029 15° C.
10' 711.97 44.066 T
20' 720.44 45.116 E
30' 728.90 46.178 .19
40' 737.37 47.253 .017
50' 745.85 48.341
15° 754.32 49.441 20° C.
10' 762.80 50.554 T
20' 771.29 51.679 E
30' 779.77 52.818 .26
40' 788.26 53.969 .022
50' 796.75 55.132
16° 805.25 56.309 25° C.
10' 813.75 57.498 T
20' 822.25 58.699 E
30' 830.76 59.914 .32
40' 839.27 61.141 .028
50' 847.78 62.381
17° 856.30 63.634 30° C.
10' 864.82 64.900 T
20' 873.35 66.178 E
30' 881.88 67.470 .39
40' 890.41 68.774 .034
50' 898.95 70.091
18° 907.49 71.421
10' 916.03 72.764
20' 924.58 74.119
30' 933.13 75.488
40' 941.69 76.869
50' 950.25 78.264
19° 958.81 79.671
10' 967.38 81.092
20' 975.96 82.525
30' 984.53 83.972
40' 993.12 85.431
50' 1001.7 86.904
20° 1010.3 88.389
10' 1018.9 89.888
20' 1027.5 91.399
30' 1036.1 92.924
40' 1044.7 94.462
50' 1053.3 96.013
I T E I=30°
21° 1061.9 97.577 +
10' 1070.6 99.155 5° C.
20' 1079.2 100.75 T
30' 1087.8 102.35 .10
40' 1096.4 103.97 E
50' 1105.1 105.60 .013
22° 1113.7 107.24
10' 1122.4 108.90
20' 1131.0 110.57
30' 1139.7 112.25
40' 1148.4 113.95
50' 1157.0 115.66
23° 1165.7 117.38 10° C.
10' 1174.4 119.12 T
20' 1183.1 120.87 .19
30' 1191.8 122.63 E
40' 1200.5 124.41 .025
50' 1209.2 126.20
24° 1217.9 128.00 15° C.
10' 1226.6 129.82 T
20' 1235.3 131.65 E
30' 1244.0 133.50 .29
40' 1252.8 135.35 .038
50' 1261.5 137.23
25° 1270.2 139.11 20° C.
10' 1279.0 141.01 T
20' 1287.7 142.93 E
30' 1296.5 144.85 .39
40' 1305.3 146.79 .051
50' 1314.0 148.75
26° 1322.8 150.71 25° C.
10' 1331.6 152.69 T
20' 1340.4 154.69 E
30' 1349.2 156.70 .49
40' 1358.0 158.72 .065
50' 1366.8 160.76
27° 1375.6 162.81 30° C.
10' 1384.4 164.86 T
20' 1393.2 166.95 E
30' 1402.0 169.04 .49
40' 1410.9 171.15 .065
50' 1419.7 173.27
28° 1428.6 175.41
10' 1437.4 177.55
20' 1446.3 179.72
30' 1455.1 181.89
40' 1464.0 184.08
50' 1472.9 186.29
29° 1481.8 188.51
10' 1490.7 190.74
20' 1499.6 192.99
30' 1508.5 195.25
40' 1517.4 197.53
50' 1526.3 199.82
30° 1535.3 202.12
10' 1544.2 204.44
20' 1553.1 206.77 .59
30' 1562.1 209.12 E
40' 1571.0 211.48 .078
50' 1580.0 213.86
T = R tan ½I E = R exsec ½I
```</result>```json
{
"text": "TABLE V. TANGENTS AND EXTERNALS TO A 1° CURVE
I T E I=10°
1° 50.00 .218 +
10' 58.34 .297 5° C.
20' 66.67 .388 T
30' 75.01 .491 .03
40' 83.34 .606 E
50' 91.68 .733 .001
2° 100.01 .873
10' 108.35 1.024
20' 116.68 1.188
30' 125.02 1.364
40' 133.36 1.552
50' 141.70 1.752
3° 150.04 1.964 10° C.
10' 158.38 2.188 T
20' 166.72 2.425 .06
30' 175.06 2.674 E
40' 183.40 2.934 .003
50' 191.74 3.207
4° 200.08 3.492 15° C.
10' 208.43 3.790 T
20' 216.77 4.099 E
30' 225.12 4.421 .09
40' 233.47 4.755 .004
50' 241.81 5.100
5° 250.16 5.459 20° C.
10' 258.51 5.829 T
20' 266.86 6.211 E
30' 275.21 6.606 .13
40' 283.57 7.013 .006
50' 291.92 7.432
6° 300.28 7.863 25° C.
10' 308.64 8.307 T
20' 31