|
Iry TABLE I. - Tangents and Externals to a 1" Curve:
<br />Chord =100 It.
<br />Int.
<br />Anglo
<br />Tangent
<br />External
<br />Int.
<br />Anglo
<br />Tangent External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />•49°
<br />2257.0
<br />428.5
<br />50°
<br />2G71.8
<br />592.3
<br />571
<br />3110.6
<br />790.1
<br />10'
<br />2266.6
<br />432.0
<br />10.
<br />2681.9
<br />596.6
<br />10'
<br />3121.7
<br />795.2
<br />20
<br />2276.2
<br />435.6
<br />20
<br />2692.1
<br />600.9
<br />20
<br />3132.6
<br />800A
<br />30
<br />2285.9
<br />439.2
<br />30
<br />2702.3
<br />605.3
<br />30
<br />3143:4
<br />805.6
<br />4D
<br />2295.6
<br />44228
<br />40
<br />2712.5
<br />609.6
<br />.40•
<br />3154.2
<br />810.9
<br />50
<br />2305.2
<br />446.4
<br />50 .
<br />2722.7
<br />614.0
<br />-SD.
<br />'3165.1
<br />816.1
<br />14
<br />°314.9
<br />450.0
<br />61
<br />2732.9
<br />618.4•
<br />68
<br />3176.0
<br />821.4
<br />10
<br />2324.6
<br />453.6
<br />.10
<br />2743.1
<br />622.8
<br />10
<br />3186.9
<br />826.7
<br />20
<br />2334.3
<br />457.3
<br />'20
<br />2753.4
<br />627.2
<br />20
<br />3197.8
<br />832.0
<br />30
<br />2344.1
<br />461:0
<br />30
<br />27G3.7
<br />631:7
<br />30
<br />3208.8
<br />837.3
<br />40
<br />2.353:8
<br />404.6
<br />40.
<br />:2773.9
<br />636.2
<br />40
<br />3210.7
<br />842.7
<br />50
<br />2303.5
<br />468.4
<br />50,
<br />2784.2
<br />- .640,7
<br />50
<br />3230.7
<br />848.1
<br />45
<br />2373.3
<br />472:1
<br />52
<br />2704.5
<br />045.2
<br />59
<br />3241.7
<br />R53.5
<br />10
<br />2383,1
<br />475.8
<br />10
<br />2804.0
<br />649.7
<br />10
<br />3252.7
<br />858.9
<br />20
<br />2392.8.
<br />479.6
<br />20
<br />2815.2
<br />654.3
<br />20
<br />3263.7
<br />864.3
<br />30
<br />2402.6
<br />483.4
<br />30
<br />2825.6
<br />658.8
<br />30
<br />3274.8
<br />869.8
<br />40
<br />2412.4
<br />4S7.2
<br />40
<br />2S35.9
<br />663.4
<br />40
<br />3285.8
<br />:875.3
<br />50
<br />2422.3
<br />491.0
<br />50
<br />2846.3
<br />668.0
<br />50
<br />3296.9
<br />8S0.8
<br />46 -
<br />2432.1
<br />494.8
<br />a3
<br />2856.7
<br />G72.7'
<br />60 -
<br />3308.0
<br />886.4
<br />10
<br />2441,9
<br />498.7
<br />10
<br />.2867.1
<br />677.3
<br />10
<br />3319.1
<br />892.0
<br />20
<br />2451.8
<br />502.5
<br />20
<br />2877.5
<br />682.0
<br />20
<br />3330.3
<br />897.5
<br />30
<br />2461,7
<br />506,1
<br />30
<br />2888.0
<br />686.7
<br />30
<br />3341.4
<br />903.2
<br />90
<br />2471.5
<br />510.3
<br />40
<br />2898.4
<br />691.4
<br />40
<br />3352,6
<br />908.8
<br />50
<br />2481,4
<br />514.3.
<br />5U
<br />2008.9
<br />696.1
<br />50
<br />3363.8
<br />914.5
<br />1S52.6
<br />68
<br />3864.7
<br />1181.6
<br />75
<br />1
<br />1492.4
<br />82
<br />4980,7
<br />17
<br />2491.3
<br />518.2
<br />54
<br />,
<br />2919.4
<br />700.9
<br />61.
<br />3375.0
<br />920.2
<br />10
<br />2501.2
<br />522.2
<br />10
<br />±2929.9
<br />705.7
<br />10
<br />3386.3
<br />925.9
<br />20
<br />2511'.2
<br />526.1
<br />20
<br />2940.4
<br />710.5
<br />20
<br />3397.5
<br />031.6
<br />'30
<br />2521.1
<br />530.1
<br />30
<br />2951.0
<br />715.1
<br />30
<br />3408.8
<br />-937.3
<br />'40
<br />2531.L
<br />534.2
<br />40
<br />2961.5
<br />720.1
<br />40
<br />3420,1
<br />942.1
<br />50
<br />2541.0
<br />538.2
<br />50
<br />2972.1
<br />725.0
<br />50
<br />3431.4
<br />948.9
<br />48
<br />2551.0
<br />542.2
<br />55
<br />2982.7
<br />729.9
<br />62
<br />3442.7-
<br />954.8
<br />10
<br />2561.0
<br />546:3
<br />10
<br />2993.3
<br />734.8
<br />10
<br />3454.1
<br />960.6
<br />=.2U
<br />2571.0
<br />5x0.4
<br />20
<br />3003.9
<br />739.7
<br />20
<br />3465.4
<br />966.5
<br />30
<br />2581,0
<br />554.5
<br />30
<br />3014.5
<br />744.6
<br />30
<br />3476.8
<br />972.4
<br />40
<br />2591.0
<br />558.6
<br />40
<br />3025:2
<br />749.6
<br />40
<br />3488.3
<br />978.3
<br />50
<br />2601.1
<br />562.8
<br />50
<br />3035.8
<br />WA .6
<br />50
<br />3499.7
<br />984.3
<br />49
<br />2611.2
<br />566.9
<br />56
<br />3046.5
<br />759.0
<br />63
<br />3511.1
<br />990.2
<br />10
<br />2621.2
<br />571.1
<br />10
<br />3057.2
<br />764.6
<br />10
<br />3522.6
<br />996.2
<br />20
<br />2631.3
<br />575.3
<br />20
<br />3007.9
<br />769.7
<br />20
<br />3534.1
<br />1002.3
<br />30
<br />2641.4
<br />570.5
<br />30
<br />3078.7
<br />774.7
<br />30
<br />3545.0
<br />1008.3
<br />40
<br />2651.5
<br />583.8
<br />40
<br />3DSgA
<br />779.8
<br />40
<br />3557.2
<br />1014.4
<br />50
<br />2661.6
<br />588.0
<br />50
<br />3100.2
<br />784.9
<br />50._
<br />356S.7
<br />1020.5
<br />Corrections to be Added (T=Tangent. E=External.).
<br />Int
<br />Angll e
<br />Curve 5°
<br />10°
<br />15°
<br />20°
<br />1 25°
<br />30°
<br />35°
<br />40°
<br />45°
<br />1 50°
<br />55°
<br />1 60°
<br />65°
<br />70°
<br />40°
<br />T=.13
<br />.26.
<br />AO
<br />.53
<br />.57
<br />.80
<br />,93
<br />.106
<br />1.20
<br />11.34
<br />1.49
<br />1.64 .
<br />179
<br />1.94
<br />20
<br />E=.023-
<br />.046
<br />.070
<br />.093
<br />.117
<br />.141
<br />.172
<br />.203
<br />..234
<br />,265
<br />.277
<br />.290
<br />.315
<br />.34t
<br />45°
<br />T =,15
<br />.30
<br />.44
<br />.50
<br />.76
<br />.91
<br />1.06
<br />1 21
<br />1.37
<br />1,52
<br />1
<br />2,04
<br />221
<br />50
<br />E =.03Q
<br />,060
<br />.093
<br />.119
<br />.153
<br />.134
<br />.216
<br />154
<br />.289
<br />.325
<br />:;5911':37U
<br />8
<br />.411
<br />.145
<br />50°
<br />T=.17
<br />.34
<br />.51
<br />.68
<br />.85
<br />1.03
<br />1.19
<br />1.36
<br />-1.54
<br />1.72
<br />1.91
<br />2,10
<br />2.29
<br />2.48
<br />LL
<br />-E-.037
<br />'.075
<br />.110
<br />.151
<br />.189
<br />.227
<br />266
<br />.305
<br />.345
<br />.384
<br />.425
<br />AG7
<br />.508
<br />.550
<br />55°
<br />T=:19
<br />.38
<br />.57
<br />.76
<br />,05
<br />1.14
<br />1.32
<br />1,52
<br />1.72
<br />1.92
<br />2.14
<br />2.35
<br />2.50
<br />2.77
<br />73'
<br />_E =.046
<br />.093
<br />.112
<br />,188
<br />.236
<br />.283
<br />.332
<br />3.81
<br />.420
<br />.479
<br />,530
<br />,532
<br />.041
<br />,
<br />.700
<br />66° ,T=.21
<br />3744.6
<br />.42
<br />.63
<br />84
<br />1.05
<br />1.27
<br />1,99
<br />1.71
<br />1.94
<br />2.17
<br />2.38
<br />2.GD
<br />2.83
<br />3.07
<br />30
<br />E=.050
<br />.112
<br />.I68
<br />225
<br />.283
<br />'.340
<br />.396
<br />.457
<br />.516
<br />.575
<br />.63fi
<br />..697
<br />.774
<br />.851
<br />65°
<br />T=,23
<br />.46
<br />.69
<br />.93
<br />1.16
<br />1.40
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63
<br />2,88 3,13
<br />3.39
<br />1305.3
<br />E=.067
<br />.135
<br />.204
<br />.273
<br />.343
<br />.412
<br />.483
<br />,554
<br />.625
<br />.697
<br />.711
<br />.845
<br />.9221.01
<br />'IABLE4,'- Tangents and Externals to a 1° Curve, V
<br />Chord=1001t:'
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Aingle
<br />Tangent
<br />:I xternal
<br />Int..
<br />Angle 'Tangent
<br />F,#ernal
<br />'61°
<br />3580.3
<br />1026.6
<br />71°
<br />4036:9
<br />1308.2
<br />78° -
<br />4539.8
<br />1643,0
<br />10'
<br />3391.9
<br />1032.8
<br />10'
<br />4099.5
<br />1315.6
<br />10'
<br />4053.6
<br />1G51.7
<br />20
<br />3603.5
<br />1039.0
<br />20
<br />4112.1
<br />1322.0
<br />20
<br />4G67.4
<br />1660.5
<br />30
<br />3615:1
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />30
<br />4GSI.3
<br />1669.2
<br />40
<br />3626.8
<br />1051.4
<br />40
<br />4137.4
<br />1337.7
<br />40
<br />4695.2
<br />1678.1
<br />50
<br />3(338,5
<br />1057.7
<br />r50
<br />4150.1
<br />1345.1
<br />50
<br />4709,2
<br />1686.9
<br />165
<br />3650.2
<br />1063.9
<br />72.
<br />41G2.8
<br />1352.6
<br />79
<br />4723.2
<br />1695.8
<br />10
<br />3661.0
<br />1070.2
<br />10
<br />4175.6
<br />1360.1
<br />10
<br />4737..2
<br />1704.7
<br />' 20
<br />3673.7
<br />1076.6
<br />•20
<br />4188.5
<br />1367.6
<br />20
<br />4751.2
<br />1713.7
<br />30
<br />3685.4
<br />1082.9
<br />30
<br />4201.2
<br />1375.2
<br />30
<br />4765.3
<br />1722.7
<br />40
<br />3697.2
<br />1089.3
<br />40
<br />4214.0
<br />1332.8
<br />40
<br />4779.4
<br />1731.7
<br />50
<br />'3709.0
<br />1095.7
<br />50
<br />4225.8
<br />1390.4
<br />50
<br />4793.6
<br />1740.8
<br />66
<br />3720.9
<br />1102.2
<br />73'
<br />4239.7
<br />1398,0
<br />Be
<br />4807.7
<br />1749.9
<br />i 10
<br />3732.7
<br />1IUS.6
<br />-10
<br />4252.6
<br />14.05.7
<br />10
<br />4822.0
<br />1759.0
<br />20
<br />3744.6
<br />1115.1
<br />20
<br />•1265.6
<br />1413.5
<br />20
<br />4836.2
<br />176S.2
<br />30
<br />3756.5
<br />1121.7
<br />30
<br />4278.5
<br />1421,2
<br />30
<br />4550.5
<br />1777.4
<br />40
<br />3768.5
<br />1128.2
<br />40
<br />4291.5
<br />1429.0
<br />40
<br />48614.8
<br />1786.7
<br />50
<br />3780,4.
<br />113468
<br />50
<br />4304.6
<br />1436.8
<br />50
<br />4879.2
<br />1796.0
<br />87
<br />3792.4
<br />1141.4
<br />74
<br />4317.6
<br />1494.6
<br />S1
<br />4893,6
<br />1305.3
<br />10
<br />3504.4
<br />114 S:0
<br />10
<br />4330.7
<br />1452.5
<br />10
<br />4908.0
<br />1814.7
<br />20
<br />3316.4
<br />1154.7
<br />20
<br />4343,.9
<br />1460.4
<br />20
<br />4922.5
<br />1824.1
<br />30
<br />3323.4
<br />1161.3
<br />30
<br />4356.9
<br />1469A
<br />30
<br />4937.0
<br />1833.6
<br />40
<br />3840.5
<br />1168.1
<br />40
<br />4370.1
<br />1476.4
<br />40
<br />4951.5
<br />1843.1
<br />50
<br />3852.6
<br />1174.8
<br />50
<br />4383.3
<br />1484.4
<br />50
<br />4966.1
<br />1S52.6
<br />68
<br />3864.7
<br />1181.6
<br />75
<br />4396.5
<br />1492.4
<br />82
<br />4980,7
<br />1862.2
<br />10
<br />3876.8
<br />1188.4
<br />10
<br />4409.8
<br />1500.5
<br />10
<br />4995.4
<br />1871.8
<br />20
<br />3889.0
<br />1195.2
<br />20
<br />4423.1
<br />1508,6
<br />20
<br />5010.0
<br />1881.5
<br />30
<br />3901.2
<br />1202.0
<br />'30
<br />4436.4
<br />1516.7
<br />30
<br />5024.8
<br />1891.2
<br />40
<br />3913.4
<br />1208,9
<br />40
<br />4449.7
<br />1524.9
<br />40
<br />5039.5
<br />3900.9
<br />5U
<br />3925.6
<br />1215.8
<br />50
<br />4463.1
<br />1533.1
<br />50
<br />5054.3
<br />1910.7
<br />69
<br />3937.9
<br />1222-7
<br />76
<br />4476.5
<br />1541.4
<br />83
<br />5069.2
<br />1920.5
<br />10
<br />3950.2
<br />1229.7
<br />10
<br />4489.9
<br />1549.7
<br />10
<br />5084.0
<br />1930.4
<br />20
<br />3962.5
<br />1230.7
<br />20
<br />4503.4
<br />1558.0
<br />20
<br />5099.0
<br />1940.3
<br />30
<br />3974.8
<br />1243.7
<br />30
<br />4516.9
<br />1566.3
<br />30
<br />5113.9
<br />1950.3
<br />40
<br />3987'2
<br />1250.8'
<br />40
<br />4530.4
<br />1574.7
<br />40
<br />5128.9
<br />1960.2
<br />50
<br />3999,5
<br />1257.9
<br />50
<br />4514.0
<br />15x3.1,
<br />50
<br />5143.9
<br />1970.3
<br />70
<br />4011.9
<br />1265.0
<br />77
<br />4557.6
<br />1591.6
<br />84
<br />5159.0
<br />1080A
<br />10
<br />4024.4
<br />1272.1
<br />10
<br />457t.2
<br />1600.1
<br />10
<br />5174.1
<br />1990.5
<br />211
<br />4036.8
<br />1279.3
<br />20
<br />4584.8
<br />1608.6
<br />20
<br />5189.3
<br />2000.6
<br />30
<br />4049.3
<br />1286.5
<br />30
<br />4598.5
<br />1617.1
<br />30
<br />5204.4
<br />2010.8
<br />40
<br />9061.8
<br />1293.6
<br />40
<br />4612.2
<br />1625.7
<br />40
<br />5219.7
<br />2021.1
<br />50
<br />4074.4
<br />1300.9
<br />50
<br />4626.0
<br />1834,4
<br />50
<br />5234.9
<br />2031.4
<br />Corrections to be Added (T =Tangent. • E=External.)
<br />Int.
<br />Curve 5° 101 15°
<br />20°
<br />25° 30°
<br />35°
<br />40°
<br />'45°�10"�_
<br />55° 60°
<br />65° 70°
<br />_Angle
<br />T=.21 .42 .63
<br />.%
<br />1.05 1.27
<br />1.49
<br />1.71.
<br />1.94
<br />2.38 2.80
<br />2.83 3.07
<br />60°
<br />E=.065 .112 .168
<br />.225
<br />.283 .340.398
<br />.457
<br />.516
<br />.575
<br />.630 .697
<br />.774 ,851
<br />T =.23 .69
<br />.93
<br />1.10 1.40
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63 2.88
<br />3.13 3.39
<br />65°
<br />.46
<br />E =.067 .135 .204
<br />T=,25 78
<br />.273
<br />1.02
<br />.343 .412
<br />1.28 1.54
<br />.483
<br />1,80
<br />554
<br />2.06
<br />.625
<br />2.33
<br />.697
<br />2.60
<br />.711 .845
<br />2.88 3.16
<br />.922 1.01
<br />3.44 3.72
<br />70°
<br />.51
<br />E =.080 .159 .240
<br />.321
<br />.403 .485
<br />.568
<br />.652
<br />.735
<br />.819
<br />.908 .994
<br />1.08 1.F7
<br />�T=.27 .83
<br />1.12
<br />1.40 1.69
<br />1.98
<br />2.27
<br />2.57
<br />2.87
<br />3.16 3.47
<br />3.78 4.09
<br />75°
<br />.56
<br />E=.095 .182 .286
<br />.383
<br />.480 .578
<br />.678
<br />.777
<br />.877
<br />.977
<br />1.07 1.18
<br />1.29 1.39
<br />T =,34 .9I
<br />122
<br />1,53 1.84
<br />21 5 2.40
<br />2.78
<br />3.10
<br />3.44 3.79
<br />4.12 4.46
<br />60°
<br />.81
<br />E=.110 .220 .332
<br />.445
<br />.558 .671.787
<br />•9031.02
<br />113
<br />125 1.38
<br />1.50 1.62
<br />T:23 66 1.00
<br />1.33
<br />1,68 2.02
<br />226 2.70
<br />3.05
<br />3.40
<br />3.77 4.14
<br />4,55 4.80
<br />85°
<br />E =.128 .259 .391
<br />.524
<br />A57 .790
<br />.926 1.06
<br />1.20
<br />1.34
<br />1.47_1.G2
<br />1,76 1.91
<br />
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