|
IV TA13LE I. - Tangents and Externals to a 1° Curve.
<br />Chord =100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int
<br />Angle
<br />Tangent External
<br />i
<br />AIgle
<br />Tangent
<br />External
<br />46°
<br />2257.0
<br />428.5
<br />50°
<br />2671.8
<br />592.3
<br />57°
<br />3110.9
<br />790.1
<br />10'
<br />2266.6
<br />432.0
<br />10'
<br />26S1.9
<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 />G00.9
<br />20
<br />3132,6
<br />800.4
<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 />40
<br />-2295.6
<br />442:8
<br />40
<br />2712.5
<br />609.6
<br />40
<br />3154,2
<br />810.9
<br />50
<br />2305.2
<br />440.4
<br />50
<br />2722.7
<br />G14.0
<br />50
<br />3165.1
<br />816,1
<br />44
<br />2314.9
<br />450.0
<br />51
<br />2732.9
<br />618.4
<br />58
<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 />3180.9
<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 />2753.7
<br />031.7
<br />30
<br />3208.8
<br />837.3
<br />40
<br />2353.3
<br />404.6
<br />40
<br />2773.9
<br />636.2
<br />40
<br />3219.7
<br />842.7
<br />50
<br />2363.5
<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 />62
<br />2794.5
<br />645.2
<br />59
<br />3241.7
<br />. 853.5
<br />10
<br />2383,1
<br />475.8
<br />10
<br />2604.9
<br />649.7
<br />10
<br />3252.7
<br />858.9
<br />20
<br />2392,8
<br />479.6
<br />20
<br />2S15.2
<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 />869.3
<br />40
<br />2412.4
<br />487.2
<br />40
<br />2835.9
<br />663.4
<br />40.-
<br />3285.8
<br />575.3
<br />50
<br />2422.3
<br />491.0
<br />50
<br />2846.3
<br />668.0
<br />50
<br />3296.9
<br />580,8
<br />46
<br />2432.1.
<br />494.8
<br />1
<br />63
<br />2856,7
<br />672.7
<br />60
<br />3308.0
<br />880.4
<br />10
<br />2441.0
<br />498.7
<br />i0
<br />2867.1
<br />677.3
<br />10
<br />3319.1
<br />802.0
<br />20
<br />2451.8
<br />502.5
<br />/20
<br />2877.5
<br />682.0
<br />20
<br />3330.3
<br />597.5
<br />30
<br />2161.7
<br />506.4
<br />30
<br />2888.0
<br />686.7
<br />30
<br />3341.4
<br />903.2
<br />40
<br />2471.5
<br />510.3
<br />40
<br />2898.4
<br />691.4
<br />40
<br />3352.6
<br />908.8
<br />SO
<br />2481.4
<br />514,3
<br />50
<br />2908.9
<br />696.1
<br />50
<br />3363.8
<br />914.5
<br />47
<br />2391'.3
<br />518.2
<br />54
<br />2919.4
<br />700.9
<br />61
<br />3375.0
<br />920.2
<br />10
<br />2301.2
<br />522.2
<br />10
<br />2929.9
<br />705.7
<br />10
<br />3380.3
<br />925.9
<br />20
<br />2311.2
<br />526.1
<br />20
<br />2940.4
<br />710,5
<br />20
<br />3397.5
<br />931.0
<br />30
<br />2521,1
<br />530.1
<br />30
<br />2951.0
<br />715.3
<br />30
<br />3408.8
<br />937.3
<br />40
<br />2531.1
<br />534.2
<br />- 40
<br />'2961.5
<br />720.1
<br />40
<br />3420.1
<br />943.1
<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 />G2
<br />3442.7
<br />954.8
<br />10
<br />2561.0
<br />540,3
<br />10
<br />2993:3
<br />734.8
<br />10
<br />3454.1
<br />900.6
<br />20
<br />2571.0
<br />5.50.4
<br />20
<br />3003.9
<br />739.7
<br />20
<br />3465.4
<br />066.5
<br />30
<br />2581.0
<br />554.5
<br />30
<br />3014.5
<br />744.6
<br />20
<br />'1476.S
<br />972.4
<br />40
<br />2591.0
<br />55S.6
<br />40
<br />302.5.2
<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 />754.6
<br />50
<br />3499.7
<br />984,3
<br />49
<br />2011.2-
<br />566.9
<br />56
<br />3046.5
<br />759.6
<br />631-..
<br />3511.1
<br />990.2
<br />10
<br />2621.2
<br />571.1
<br />10
<br />3057,2
<br />704.6
<br />10
<br />3522,6
<br />996.2
<br />20
<br />2631.3
<br />575.3
<br />20
<br />3007.9
<br />709.7
<br />20
<br />3534.1
<br />.1002.3
<br />30
<br />2041.4
<br />579.5
<br />30
<br />3078.7
<br />774.7
<br />30
<br />3545.6
<br />1008,3
<br />40
<br />2651.5
<br />553.8
<br />40
<br />3039.4,
<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 />754,9
<br />50
<br />3568.7
<br />1020.5
<br />Corrections to be Added ( T = Tangent. E = External.)
<br />Int,
<br />Anel®
<br />Giirve 5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />45° 1
<br />50°
<br />1 55°
<br />1,0°
<br />1 65°
<br />70°
<br />40°
<br />i=.13
<br />28
<br />,40
<br />.53
<br />.57
<br />.80
<br />.93
<br />.106
<br />1.20
<br />1.34
<br />1.49
<br />1.64
<br />1,79
<br />1.91
<br />20
<br />E=,023
<br />.046
<br />.070
<br />.093
<br />.117
<br />A41
<br />.172
<br />.203
<br />.234
<br />.205
<br />.277
<br />.2903
<br />,
<br />.311
<br />45"
<br />T=,15
<br />.30
<br />.44
<br />.60
<br />.76
<br />.01
<br />1.00
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1..87
<br />2.04
<br />2.21
<br />50
<br />E=.030
<br />.050
<br />.093
<br />.119
<br />.153
<br />.184
<br />.216
<br />.254
<br />.289
<br />.325
<br />..351
<br />.378
<br />.411
<br />.445
<br />s9°
<br />T=.17
<br />.34
<br />.51
<br />.68
<br />.851.02
<br />2D
<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 />30
<br />E=.037
<br />.075
<br />.115
<br />.15I
<br />.189
<br />.227
<br />.266
<br />.305
<br />.345
<br />.384
<br />.425
<br />.467
<br />.508
<br />,556
<br />55°
<br />T=.10
<br />38
<br />.57
<br />.76
<br />.95
<br />1.14
<br />1.32
<br />1.52
<br />1.72
<br />1.92
<br />2.14
<br />2.35
<br />2.56
<br />2.77
<br />73
<br />E-.046
<br />1.093
<br />.142
<br />.188
<br />.236
<br />.2S3
<br />.332
<br />3.81
<br />.420
<br />.479
<br />.530
<br />,532
<br />.541
<br />.700
<br />60°
<br />T-.21
<br />.42
<br />G3
<br />.84
<br />1.05
<br />1.27
<br />1.49
<br />1.71
<br />7.94
<br />2.17
<br />2.38
<br />2.60
<br />2..43
<br />3.07
<br />30
<br />E=.056
<br />1.112
<br />.169
<br />.225
<br />.2S3
<br />340
<br />.398
<br />.457
<br />.516
<br />.575
<br />.036
<br />.697
<br />.774'
<br />.851
<br />fir°
<br />T=.23
<br />' AS
<br />.69
<br />.93
<br />1.16
<br />1.40
<br />].64
<br />1,88
<br />2.13
<br />2.38
<br />2.63
<br />2.88
<br />3.13
<br />3.39
<br />10
<br />Em Afi7
<br />.135
<br />.204
<br />.273
<br />.343
<br />.412
<br />.493
<br />.554
<br />.625
<br />.697
<br />.711
<br />,845
<br />.922
<br />1.01
<br />TABLM I, - Tangents and Externals to a 1° Curve.
<br />Chord =100 f t.
<br />Int.Tangent
<br />Angle
<br />Curse 5° 10° 15°
<br />External
<br />"gle
<br />A41gle
<br />30°
<br />External
<br />int.
<br />Angle
<br />Tangent
<br />External
<br />64°
<br />35SU.3
<br />1026.6
<br />71.°
<br />4US6.9
<br />1308.2
<br />78°
<br />4630.8
<br />1643.0
<br />10'
<br />3591.9
<br />1.032.8
<br />10'
<br />4099.5
<br />1315.6
<br />10'
<br />•1653.6
<br />1651.7
<br />-
<br />20
<br />.3603.5
<br />1039.0 .
<br />20
<br />4712.1
<br />1322.9
<br />20
<br />4667.4
<br />1660.5
<br />30
<br />361:5.1
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />30
<br />4651.3
<br />1GG9.2
<br />40
<br />3626.8
<br />1051.4
<br />40
<br />4137.4
<br />1337.7
<br />4.0
<br />IG95.2
<br />1078.1
<br />50
<br />3038.5
<br />1057.7
<br />50
<br />4150.1
<br />1345.1
<br />50
<br />4709.2
<br />1686.J
<br />65
<br />3650.2
<br />1063.9
<br />72
<br />4162.8
<br />1352.6
<br />79
<br />4723.2
<br />1695.8
<br />10
<br />3661.9
<br />1070.2
<br />10
<br />4175.G
<br />1360.1
<br />10
<br />4737.2
<br />1704.7
<br />2D
<br />3673.7
<br />1076.6
<br />20
<br />41S3.5
<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 />1382.8
<br />40
<br />4779.4
<br />1731.7
<br />50
<br />3709.0
<br />1095.7
<br />50
<br />4226.8
<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 />SO
<br />4807.7
<br />1749.0
<br />10'
<br />3732.7
<br />1108.6
<br />10
<br />4252.6
<br />1405.7
<br />10
<br />4822.0
<br />1759.0
<br />- 20
<br />3744.6
<br />1115.1
<br />-20
<br />426.5.6
<br />1413.5
<br />20
<br />4836.2
<br />1768.2
<br />30
<br />375G.5
<br />-1121.7
<br />30
<br />4278.5
<br />1421.2
<br />30
<br />1850.5
<br />1777.4
<br />40
<br />3768.5
<br />1128,2
<br />40
<br />4201.5
<br />1429.0
<br />40
<br />4864.8
<br />1786.7
<br />50
<br />37SO.4
<br />-11134.8
<br />50
<br />4301.6
<br />1436.8
<br />5D
<br />4879.2
<br />1796.0
<br />67
<br />3792A
<br />1.141.4
<br />74
<br />4317.6
<br />1444.6
<br />81
<br />4893.6
<br />1805.3
<br />10
<br />3801.4
<br />1148.0
<br />10
<br />4330.7
<br />1452.5
<br />10
<br />4908.0
<br />1814.7
<br />20
<br />3516.4
<br />1154.7
<br />20
<br />4343.8
<br />1460.4
<br />20
<br />4922.5
<br />1824.1
<br />30
<br />3328.4
<br />1161.3
<br />30
<br />4356.9
<br />14(18.4
<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 />3832.G
<br />1174.8
<br />50
<br />4383.3
<br />1484,4
<br />50
<br />4966.1
<br />1852.6
<br />68
<br />3864.7
<br />1181.6.
<br />76
<br />439fi.5
<br />1.192.4
<br />82
<br />4980.7
<br />1862.2
<br />30
<br />3876.8
<br />1188.4
<br />10
<br />4.-169.8
<br />1500.5
<br />10
<br />4995.4
<br />1871.8
<br />X0
<br />3889.0
<br />1195.2
<br />120
<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 />4136,4
<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 />1900.9
<br />SU
<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 />395).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 />1236.7
<br />20
<br />4503.4
<br />11158.0
<br />20
<br />5099-0
<br />1940.3
<br />30
<br />3974.8
<br />1243.7
<br />30
<br />4516.9
<br />1.566.3
<br />30
<br />5113.9
<br />195013
<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 />4544.0
<br />1583.1
<br />50
<br />5143.9
<br />1970.3
<br />.10
<br />4011.9
<br />1265,0
<br />77
<br />4557.6
<br />1591.6
<br />S4
<br />5159.0
<br />1980.4
<br />10
<br />4024.4
<br />1272.1
<br />10
<br />4571.2
<br />1600.1
<br />10
<br />5174.1
<br />1990.5
<br />20
<br />4036-5
<br />1279.3
<br />20
<br />2584.8
<br />1608.6
<br />20
<br />5189.3
<br />2000.G
<br />3U
<br />4040.3
<br />1280.5
<br />30
<br />4598.5
<br />101,7.1
<br />30
<br />5204.4
<br />2010.8
<br />40
<br />406 .S
<br />1293.6.
<br />40
<br />4012.2
<br />1525.7
<br />40
<br />5219.7
<br />2021.1
<br />50
<br />4074.4
<br />1 1300.9
<br />50
<br />4626.0
<br />1634.4
<br />1 50
<br />1 5234.9
<br />1 2031.4
<br />, Corrections to be Added (T = Tangent. E = External.)
<br />Int
<br />Curse 5° 10° 15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />Angle
<br />T =.21 .42 .63
<br />.84
<br />.05
<br />1.27
<br />1.49
<br />1.71
<br />1.94
<br />2.17
<br />2.38
<br />2.60
<br />2.83
<br />3.07
<br />80°
<br />E =.058 .112 .168
<br />.225
<br />,283
<br />.340
<br />.398
<br />.457
<br />.516
<br />.575
<br />.638
<br />.697
<br />,774
<br />,851
<br />T=.23 9
<br />1.15
<br />IAA
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63
<br />2.88
<br />3.13
<br />3.39
<br />d5°
<br />E =.06704_
<br />.93
<br />,273
<br />.343
<br />.412
<br />.483
<br />.554
<br />,625
<br />.597
<br />.711
<br />.845
<br />.922
<br />1.01
<br />T=.25 6
<br />1.02
<br />1.28
<br />1.54
<br />1.80
<br />248
<br />2,33
<br />2.60
<br />2.88
<br />3.t8.44
<br />3.72
<br />70°
<br />E=.080240
<br />.321
<br />.103
<br />.485
<br />.568
<br />.652
<br />.735
<br />.819
<br />.906
<br />.994
<br />1,08
<br />1.I7
<br />T=.2783
<br />1.12
<br />1.40
<br />1.69
<br />11.98
<br />2.27
<br />2.57
<br />2.87
<br />3.18E=,005286
<br />75°
<br />h.135.204
<br />.383
<br />ABO
<br />.578
<br />.678
<br />.777
<br />.877
<br />.977
<br />1.07
<br />1.18
<br />1,29
<br />1.39
<br />T=.30 91
<br />1.22
<br />1.53
<br />1.84
<br />2.15
<br />2,46
<br />2.78
<br />3.10
<br />3.44
<br />3.78
<br />4.12
<br />4.46
<br />80°
<br />E=.110332
<br />.445
<br />.558
<br />.671
<br />.787
<br />.903
<br />1.02
<br />1.13
<br />425
<br />1.38
<br />1.50
<br />1.62
<br />°
<br />3.05
<br />3.40
<br />3.77
<br />T=.3300
<br />1.33
<br />1,68
<br />2.02
<br />2.38 2.70
<br />4.14
<br />4.55E
<br />=.128391
<br />.524
<br />.657
<br />.790
<br />926 1.00
<br />1.20
<br />1.34
<br />1.47
<br />1.62
<br />1.76
<br />1.95
<br />I
<br />
|