|
IV TABLE 1. - Tangents and, Externals to a_ 1' Curve
<br />Chord=`100 ft.
<br />Int.
<br />Engle
<br />7.a. t
<br />>n
<br />External
<br />Int.
<br />Angle
<br />Tangent External
<br />Int.
<br />Angle
<br />Tangent
<br />g
<br />External
<br />43°-
<br />2257.0
<br />428.5
<br />50° '
<br />26,71.8
<br />592.3.
<br />57°
<br />3110.9
<br />790.1
<br />10'
<br />2256.6
<br />432.0
<br />i0'
<br />2691.9
<br />596.6
<br />10'
<br />3121.7
<br />795.2
<br />20 '
<br />:2276.2
<br />435.6
<br />20
<br />2692.4
<br />600.9
<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 />446.4
<br />50,
<br />2722.7
<br />614.0
<br />50
<br />3165.I
<br />816.1
<br />44•
<br />2314.9
<br />450,0
<br />61
<br />2732.9
<br />618.4
<br />56
<br />3176.0
<br />821.4
<br />.10
<br />-20
<br />2324.6
<br />453.6
<br />10
<br />2743.1
<br />.622.8
<br />.10
<br />.3186.9
<br />,826.7
<br />.85
<br />2334.3
<br />.457.3
<br />20
<br />2753.4
<br />627.2
<br />20
<br />3197.S
<br />832.0
<br />30
<br />2344.1
<br />461.0
<br />30.
<br />2763.7
<br />631.7
<br />30
<br />320S.8
<br />837.3
<br />40
<br />2353.8
<br />464.6
<br />40
<br />2773.9
<br />636.2
<br />40 .
<br />3219.7
<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 />46'
<br />2373,3
<br />472.1
<br />52
<br />2704.5
<br />045.2
<br />59
<br />3241.7
<br />853.5
<br />'10
<br />2383.1
<br />.475.8
<br />10
<br />2804.9
<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 />6.54.3
<br />20
<br />3263.7
<br />864,3
<br />30 .'2402:6
<br />.457
<br />ASS.4
<br />30
<br />2825.6
<br />058.8
<br />30
<br />3274.8
<br />869.8
<br />40
<br />2412.4•
<br />487.2
<br />40
<br />2835.9
<br />663.4
<br />40
<br />3285.8
<br />875":1
<br />50 '
<br />2422,3
<br />491.0.
<br />50
<br />2846.3
<br />60
<br />603.050
<br />E @.067f
<br />3296.9
<br />:880.8
<br />273
<br />".343
<br />.4]2�
<br />.483
<br />.554
<br />.625
<br />.897
<br />.71i
<br />.845
<br />46
<br />2432.1
<br />494.8:
<br />536
<br />2850.7
<br />672.7
<br />60
<br />3308.0
<br />886.4
<br /><• 10
<br />.2441.9
<br />498.7
<br />1 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 />597.5
<br />30 '
<br />2461.7
<br />506.4
<br />30
<br />2888.0
<br />686.7
<br />30
<br />334 1. 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 />50
<br />2481.4
<br />514,3
<br />50
<br />2908.9;
<br />696.1
<br />50
<br />33G3.8't
<br />914.5
<br />47=:,
<br />2491.3
<br />518.2
<br />54
<br />2919:4'
<br />.700.9
<br />61
<br />3375.0
<br />'020.2
<br />10
<br />2301.2
<br />522.2
<br />10
<br />2929.9
<br />705.7
<br />10
<br />3386,3
<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 />031.6
<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 />4D
<br />2961.5
<br />720,1
<br />40
<br />3420,1
<br />943.1
<br />50
<br />2541,0
<br />533.2
<br />50
<br />2972.1
<br />725.0
<br />50
<br />3431.4
<br />918.9
<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 />le
<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 />550.4
<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 />2GOL.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 />3045.5
<br />759.6
<br />63
<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 />2522.6
<br />996.2
<br />20
<br />2031.3
<br />575.3
<br />20
<br />3067.9
<br />769.7
<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 />2051.5
<br />583.8
<br />40
<br />3089,4
<br />779.8
<br />40
<br />3557.2
<br />1014.4
<br />50
<br />2661.6
<br />588.0
<br />:.0
<br />3100.2
<br />784.9
<br />50
<br />3563.7
<br />-1020.5
<br />Corrections to be Added (T =Tangent. E=External')
<br />Int
<br />Angle
<br />L'Urve 5°
<br />10°
<br />IS°
<br />20°
<br />25°
<br />130°
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65'
<br />70"
<br />40°
<br />T=.13
<br />.25
<br />.40
<br />.53
<br />,67
<br />.80
<br />.93
<br />.106
<br />L20
<br />1.34
<br />1.49
<br />1.64
<br />1:79
<br />1.94
<br />20
<br />E=.023
<br />.046
<br />'.070
<br />A93
<br />.11,
<br />.141
<br />.172
<br />.203
<br />.234
<br />.265
<br />.277
<br />90
<br />.315
<br />.311
<br />45°
<br />T--15
<br />.30
<br />.44
<br />.60
<br />.76
<br />.91
<br />1.06
<br />1.21'
<br />1.37.1.52
<br />3038.5'
<br />1.70
<br />1.87
<br />2.04
<br />2.21
<br />50
<br />_E=:030
<br />.060
<br />.093
<br />,119
<br />.153
<br />.184
<br />.216
<br />.254
<br />.289
<br />.325
<br />.351
<br />..378
<br />.411
<br />.415
<br />50° -
<br />T=17
<br />.34
<br />,51
<br />.63
<br />.85
<br />1.02
<br />1,19
<br />1.36
<br />1.54
<br />1.72
<br />1.91
<br />2.10
<br />2.29
<br />2.43
<br />30
<br />E=.037
<br />T=.19
<br />.075
<br />.38
<br />.116
<br />.57
<br />.151
<br />.70
<br />.189
<br />.95
<br />.227
<br />1.14
<br />.266
<br />1.32
<br />.305
<br />1.52
<br />.345
<br />1.72
<br />.384
<br />1.92
<br />.425
<br />2.14
<br />.467
<br />2.35
<br />.508
<br />2.55
<br />.550
<br />2.71
<br />55°
<br />4779.4
<br />_E=:046
<br />.093
<br />.142
<br />.188
<br />.236
<br />.283
<br />.332
<br />3.81
<br />.420
<br />.479
<br />.534
<br />.582
<br />.641
<br />.700
<br />60°
<br />T=.21 1.42
<br />80
<br />.63
<br />.84
<br />1.05
<br />1.27
<br />T49
<br />1.71
<br />1.94
<br />2.17
<br />2.38
<br />2.60
<br />2.83
<br />3.07
<br />3744.6
<br />;
<br />.112
<br />.168
<br />225
<br />.293
<br />..340
<br />.398
<br />.457
<br />.516
<br />.575
<br />.636
<br />.697
<br />.774
<br />.651
<br />656
<br />_=.056
<br />T=_22 1
<br />.46
<br />.69
<br />03
<br />1,16
<br />I.40
<br />1.54
<br />1.88
<br />2.13
<br />2.38
<br />2.63
<br />2.86
<br />3.13
<br />3,39
<br />4304.6
<br />E @.067f
<br />.135
<br />.204
<br />273
<br />".343
<br />.4]2�
<br />.483
<br />.554
<br />.625
<br />.897
<br />.71i
<br />.845
<br />.022
<br />1.01
<br />TABLE 1. - Tangents nod Externals to a 1° Curve. -
<br />Chord = 100
<br />urve.Chord=100 ft.
<br />Angle
<br />Tangent
<br />External
<br />Int•
<br />Angle
<br />Tangent
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />64^
<br />3580.3
<br />1026.6
<br />71°••
<br />4086.9
<br />1308.2
<br />78'
<br />4639.8
<br />1643.0
<br />10'
<br />3591.9
<br />1632.8
<br />10'
<br />4099,5
<br />1315.6
<br />10'
<br />•1653.6
<br />1651.7
<br />20
<br />.3603.5
<br />.1039.0
<br />20
<br />4112.1
<br />1322,9
<br />20
<br />'4667.4
<br />1660.5
<br />30
<br />3615.1
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />30
<br />•1691.3
<br />1669.2
<br />40
<br />3626.8
<br />1051.4
<br />40
<br />4137.4
<br />1337.7
<br />40
<br />•1695.2
<br />1678.1
<br />50
<br />3038.5'
<br />1057.7
<br />50
<br />4150.1
<br />1345,1
<br />50
<br />4709.2
<br />1686.9
<br />65
<br />3650.2
<br />1063.9
<br />72
<br />41,62.8
<br />1352.6
<br />70
<br />4723.2
<br />1695.8
<br />10
<br />T=.27
<br />1070.2
<br />10
<br />4175.0
<br />1360.1
<br />10
<br />4737.2
<br />1704.7
<br />-20
<br />.3661.9
<br />3673.7
<br />1076.6
<br />20
<br />4188.5
<br />1367.6
<br />20
<br />4701.2
<br />1713.7
<br />30
<br />3685.4
<br />1082.9
<br />30
<br />4201,2
<br />1375.2
<br />30
<br />4705.3
<br />1722.7
<br />4.0
<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 />1005.7
<br />50
<br />4226.8
<br />1390.4
<br />50
<br />4703.6
<br />1740.8
<br />66
<br />3720.9
<br />1102.2
<br />73
<br />4239.7
<br />1398.0
<br />80
<br />4807.7
<br />1749.9
<br />10
<br />3732.7
<br />1108.6
<br />10
<br />9252.6
<br />1405.7
<br />10
<br />4822.0
<br />1759.0
<br />20
<br />3744.6
<br />1115.1
<br />20
<br />4265.6
<br />1413,5
<br />20
<br />4836,2
<br />1768.2
<br />30
<br />3756.5
<br />1121.7
<br />30
<br />4278.5
<br />1421.2
<br />30
<br />4850.5
<br />1777.4
<br />40
<br />37G8.5
<br />1128.2
<br />40
<br />4291.5
<br />1429.0
<br />40
<br />4864.8
<br />1786.7
<br />50
<br />3780.4
<br />1134:8
<br />50
<br />4304.6
<br />1436.8
<br />- 50
<br />4879.2
<br />1796.0
<br />67
<br />:3792.4
<br />1141.4
<br />74
<br />4317.6
<br />1444.6
<br />81
<br />4893.6
<br />ISM.3'
<br />3804.4
<br />1148.0
<br />10
<br />4330.7
<br />1452.5
<br />.10
<br />4908.0
<br />1814.7
<br />.10
<br />:20
<br />3816,4
<br />1154.7,
<br />20
<br />4343.8
<br />1460.4
<br />20
<br />4922,5
<br />1824.1
<br />30
<br />3828.4
<br />1161.3
<br />30
<br />4336.0
<br />1.168.4
<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 />3852.6
<br />1174.8
<br />50
<br />4383.3
<br />1484.4
<br />50
<br />49GG.1
<br />1852.6
<br />68
<br />3864.7
<br />1181.6
<br />75
<br />4390.5
<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 />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 />50
<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 />3937.0
<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 />]23G.7
<br />20
<br />4503:4
<br />1558.0
<br />20 '•5090,0
<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 />1583.1
<br />50
<br />5143.9
<br />1970.3
<br />70
<br />4011.9
<br />1255.0
<br />77
<br />4557.6
<br />1591.6
<br />84
<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 />4036.8
<br />1279,3
<br />20
<br />4584.8
<br />1608.6
<br />20
<br />5189.3
<br />2000.6
<br />30
<br />4019.3
<br />1286,5
<br />30
<br />4598.5
<br />1617.1
<br />30
<br />5204.4
<br />2010.8
<br />40
<br />4061.8
<br />1293.6
<br />40
<br />4012.2
<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 />1634,4
<br />50
<br />.5234.9
<br />2031.4
<br />Corrections t6 be Added (T =Tangent. E = External.)
<br />Int.
<br />Curve S°
<br />14° 15° 20°
<br />25' 30°
<br />35°
<br />40°
<br />45° 50°
<br />55° 60° 65°
<br />10°
<br />_Angle
<br />T=.21
<br />.42 .63 .84
<br />1.05 1.27
<br />1.49
<br />1.71
<br />1.94 2.17.
<br />2.38 2,80 2.83
<br />8.07
<br />60°
<br />E =.050
<br />'..112 .188 .225
<br />.283 .340
<br />.398
<br />.457
<br />.516 .575
<br />.636 .697 .774
<br />.851
<br />T=.23.
<br />.45 .69 .93
<br />1.16 1.40
<br />1.64
<br />1.88
<br />2.13 2.38
<br />2.63 2.88 3.13
<br />3.39
<br />65°
<br />F=.067
<br />.135 .204 .273
<br />.343 .412
<br />A83
<br />.554
<br />.525 .697
<br />.711 .845 .922
<br />1.01
<br />T=
<br />.76 1.02
<br />1.28 1.54
<br />1.80
<br />2.00
<br />2.33. 2,60
<br />2.88 3 .1 63.44
<br />3.72
<br />70°
<br />.25
<br />E=,080
<br />.51
<br />.159 .240 .32L
<br />.403 .485
<br />.568
<br />.652
<br />.M .819
<br />.906 .994 1.08
<br />1.17
<br />75°
<br />T=.27
<br />.50 .83 1.12
<br />1.40 1.69
<br />11.98
<br />2.27
<br />2.57 2.87
<br />3.16 3.47 3.78
<br />4.09
<br />E =.095
<br />.182 .286 .383
<br />.480 578
<br />.678
<br />.777
<br />.877 .977
<br />1.07 1.18 1.20
<br />1.30
<br />800
<br />=•30 '
<br />61 .9l' 1.22
<br />1.53 1.84
<br />2.15
<br />2.46
<br />2.78fl3.13.44
<br />8.78 4.12
<br />4.46
<br />E=.110
<br />.220..332 .445
<br />.558 .671
<br />.787
<br />.903
<br />1.021.25
<br />1.38 1.50
<br />1.62_T=.33
<br />66 1.00 1.33
<br />1.68 2.02
<br />2.36
<br />2.70
<br />3.053.77
<br />4.14 4.55
<br />4.89E=,126
<br />:259 .391 .524
<br />.657 .790
<br />.926.1.06
<br />1.201.47
<br />1.52 1.76
<br />1.91
<br />a
<br />
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