Image from the Biodiversity Heritage Library.
Contributed by Yale Peabody Museum of Natural History.
| www.biodiversitylibrary.org
Transcription
TABLE I. — Tangents and Externals to a 1° Curve.
Chord = 100 ft.
Int. Angle | Tangent | External | Int. Angle | Tangent | External | Int. Angle | Tangent | External
64° | 3580.3 | 1026.6 | 71° | 4086.9 | 1308.2 | 78° | 4639.8 | 1643.0
10' | 3591.9 | 1032.8 | 10' | 4099.5 | 1315.6 | 10' | 4653.6 | 1651.7
20 | 3603.5 | 1039.0 | 20 | 4112.1 | 1322.9 | 20 | 4667.4 | 1660.5
30 | 3615.1 | 1045.2 | 30 | 4124.8 | 1330.3 | 30 | 4681.3 | 1669.2
40 | 3626.8 | 1051.4 | 40 | 4137.4 | 1337.7 | 40 | 4695.2 | 1678.1
50 | 3638.5 | 1057.7 | 50 | 4150.1 | 1345.1 | 50 | 4709.2 | 1686.9
65 | 3650.2 | 1063.9 | 72 | 4162.8 | 1352.6 | 79 | 4723.2 | 1695.8
10 | 3661.9 | 1070.2 | 10 | 4175.6 | 1360.1 | 10 | 4737.2 | 1704.7
20 | 3673.7 | 1076.6 | 20 | 4188.5 | 1367.6 | 20 | 4751.2 | 1713.7
30 | 3685.4 | 1082.9 | 30 | 4201.2 | 1375.2 | 30 | 4765.3 | 1722.7
40 | 3697.2 | 1089.3 | 40 | 4214.0 | 1382.8 | 40 | 4779.4 | 1731.7
50 | 3709.0 | 1095.7 | 50 | 4226.8 | 1390.4 | 50 | 4793.6 | 1740.8
66 | 3720.9 | 1102.2 | 73 | 4239.7 | 1398.0 | 80 | 4807.7 | 1749.9
10 | 3732.7 | 1108.6 | 10 | 4252.6 | 1405.7 | 10 | 4822.0 | 1759.0
20 | 3744.6 | 1115.1 | 20 | 4265.6 | 1413.5 | 20 | 4836.2 | 1768.2
30 | 3756.5 | 1121.7 | 30 | 4278.5 | 1421.2 | 30 | 4850.5 | 1777.4
40 | 3768.5 | 1128.2 | 40 | 4291.5 | 1429.0 | 40 | 4864.8 | 1786.7
50 | 3780.4 | 1134.8 | 50 | 4304.6 | 1436.8 | 50 | 4879.2 | 1796.0
67 | 3792.4 | 1141.4 | 74 | 4317.6 | 1444.6 | 81 | 4893.6 | 1805.3
10 | 3804.4 | 1148.0 | 10 | 4330.7 | 1452.5 | 10 | 4908.0 | 1814.7
20 | 3816.4 | 1154.7 | 20 | 4343.8 | 1460.4 | 20 | 4922.5 | 1824.1
30 | 3828.4 | 1161.3 | 30 | 4356.9 | 1468.4 | 30 | 4937.0 | 1833.6
40 | 3840.5 | 1168.1 | 40 | 4370.1 | 1476.4 | 40 | 4951.5 | 1843.1
50 | 3852.6 | 1174.8 | 50 | 4383.3 | 1484.4 | 50 | 4966.1 | 1852.6
68 | 3864.7 | 1181.6 | 75 | 4396.5 | 1492.4 | 82 | 4980.7 | 1862.2
10 | 3876.8 | 1188.4 | 10 | 4409.8 | 1500.5 | 10 | 4995.4 | 1871.8
20 | 3889.0 | 1195.2 | 20 | 4423.1 | 1508.6 | 20 | 5010.0 | 1881.5
30 | 3901.2 | 1202.0 | 30 | 4436.4 | 1516.7 | 30 | 5024.8 | 1891.2
40 | 3913.4 | 1208.9 | 40 | 4449.7 | 1524.9 | 40 | 5039.5 | 1900.9
50 | 3925.6 | 1215.8 | 50 | 4463.1 | 1533.1 | 50 | 5054.3 | 1910.7
69 | 3937.9 | 1222.7 | 76 | 4476.5 | 1541.4 | 83 | 5069.2 | 1920.5
10 | 3950.2 | 1229.7 | 10 | 4489.9 | 1549.7 | 10 | 5084.0 | 1930.4
20 | 3962.5 | 1236.7 | 20 | 4503.4 | 1558.0 | 20 | 5099.0 | 1940.3
30 | 3974.8 | 1243.7 | 30 | 4516.9 | 1566.3 | 30 | 5113.9 | 1950.3
40 | 3987.2 | 1250.8 | 40 | 4530.4 | 1574.7 | 40 | 5128.9 | 1960.2
50 | 3999.5 | 1257.9 | 50 | 4544.0 | 1583.1 | 50 | 5143.9 | 1970.3
70 | 4011.9 | 1265.0 | 77 | 4557.6 | 1591.6 | 84 | 5159.0 | 1980.4
10 | 4024.4 | 1272.1 | 10 | 4571.2 | 1600.1 | 10 | 5174.1 | 1990.5
20 | 4036.8 | 1279.3 | 20 | 4584.8 | 1608.6 | 20 | 5189.3 | 2000.6
30 | 4049.3 | 1286.5 | 30 | 4598.5 | 1617.1 | 30 | 5204.4 | 2010.8
40 | 4061.8 | 1293.6 | 40 | 4612.2 | 1625.7 | 40 | 5219.7 | 2021.1
50 | 4074.4 | 1300.9 | 50 | 4626.0 | 1634.4 | 50 | 5234.9 | 2031.4
Corrections to be Added (T = Tangent. E = External.)
Int. Angle | Curve 5° | 10° | 15° | 20° | 25° | 30° | 35° | 40° | 45° | 50° | 55° | 60° | 65° | 70°
60° | T = .21 | .42 | .63 | .84 | 1.05 | 1.27 | 1.49 | 1.71 | 1.94 | 2.17 | 2.38 | 2.60 | 2.83 | 3.07
E = .056 | .112 | .168 | .225 | .283 | .340 | .398 | .457 | .516 | .575 | .636 | .697 | .774 | .851
65° | T = .23 | .46 | .69 | .93 | 1.16 | 1.40 | 1.64 | 1.88 | 2.13 | 2.38 | 2.63 | 2.88 | 3.13 | 3.39
E = .067 | .135 | .204 | .273 | .343 | .412 | .483 | .554 | .625 | .697 | .771 | .845 | .922 | 1.01
70° | T = .25 | .51 | .76 | 1.02 | 1.28 | 1.54 | 1.80 | 2.06 | 2.33 | 2.60 | 2.88 | 3.16 | 3.44 | 3.72
E = .080 | .159 | .240 | .321 | .403 | .485 | .568 | .652 | .735 | .819 | .906 | .994 | 1.08 | 1.17
75° | T = .27 | .56 | .83 | 1.12 | 1.40 | 1.69 | 1.98 | 2.27 | 2.57 | 2.87 | 3.16 | 3.47 | 3.78 | 4.09
E = .095 | .182 | .286 | .383 | .480 | .578 | .678 | .777 | .877 | .977 | 1.07 | 1.18 | 1.29 | 1.39
80° | T = .30 | .61 | .91 | 1.22 | 1.53 | 1.84 | 2.15 | 2.46 | 2.78 | 3.10 | 3.44 | 3.78 | 4.12 | 4.46
E = .110 | .220 | .332 | .445 | .558 | .671 | .787 | .903 | 1.02 | 1.13 | 1.25 | 1.38 | 1.50 | 1.62
85° | T = .33 | .66 | 1.00 | 1.33 | 1.68 | 2.02 | 2.36 | 2.70 | 3.05 | 3.40 | 3.77 | 4.14 | 4.55 | 4.89
E = .128 | .259 | .391 | .524 | .657 | .790 | .926 | 1.06 | 1.20 | 1.34 | 1.47 | 1.62 | 1.76 | 1.91