|
IV TASLE.I. -Tangents-and Externals'to'a 1' Curve.
<br />Chord = 10 0 It.
<br />Int.
<br />1
<br />Tangent
<br />External
<br />Int.
<br />Tangent External
<br />Angie
<br />Tangent
<br />External
<br />46°
<br />2257.0
<br />428.5
<br />501
<br />-2671.8
<br />592.3
<br />57,
<br />3110.9
<br />790.1
<br />101,
<br />2266:6
<br />432.0
<br />10'
<br />2681.9
<br />596.0
<br />10'
<br />3121.7
<br />795.2
<br />20
<br />2276.2
<br />435.6
<br />20
<br />2692.1
<br />G00.91
<br />20
<br />3132,0
<br />800.4
<br />30
<br />2285.9
<br />430.2
<br />30
<br />2702.3
<br />605.3
<br />30
<br />3143.4
<br />803.6
<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 />3165.1
<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 />3186.9
<br />820.7
<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 />2763.7
<br />631.7
<br />30
<br />3208.8
<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 />2363.5
<br />468.4
<br />50
<br />"2784.2
<br />640.7
<br />50
<br />3230.7
<br />848.L
<br />4S
<br />2373.3
<br />472.L
<br />52 ,
<br />2794.5
<br />645,2
<br />59
<br />.324E 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 />470.G
<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 />2325.6
<br />058.8
<br />30
<br />3274.8
<br />-869.8
<br />40
<br />2412.4
<br />487.2
<br />30
<br />2835.9
<br />663,4
<br />40
<br />3265.8
<br />875.3
<br />50
<br />24.22.3
<br />491.0
<br />50
<br />2846.3
<br />668.0
<br />50
<br />3296.0
<br />880.8
<br />1,16
<br />1.40
<br />1.64
<br />1
<br />2,13
<br />2.33
<br />12.63
<br />2,88
<br />3.13
<br />46
<br />2432.1
<br />494.8
<br />53
<br />2856.7
<br />072.7
<br />60
<br />3308.0
<br />886.4
<br />10
<br />2441.9
<br />498.7
<br />i 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 />500.4
<br />30
<br />28S3.0
<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 />50
<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 />2491.3
<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 />3386.3
<br />925.9
<br />20
<br />2511.2
<br />526.1
<br />20
<br />2040.4
<br />710.5
<br />20
<br />3397.5
<br />931.6
<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 />40
<br />2961.,5
<br />720.1
<br />40
<br />3420.1
<br />043.1
<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 />63.
<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 />20
<br />2571.4
<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.S
<br />972.4
<br />.40
<br />2591.0
<br />.558.6
<br />40
<br />3025.2
<br />749.E
<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 />60
<br />3499.7
<br />984.3'
<br />19 '
<br />2611.2
<br />566.9
<br />56
<br />3040.5
<br />759.6
<br />63
<br />3511.1
<br />990.2
<br />LO
<br />2621.2
<br />571.1
<br />.10
<br />3057.2
<br />764.6
<br />10
<br />3522.6
<br />998,2
<br />20
<br />2631.3
<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 />2651,5
<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 />50
<br />3100.2
<br />784.9
<br />50
<br />3563.7
<br />1020.5
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Iat
<br />Angle
<br />.Curve 5°
<br />10°
<br />15°
<br />20°
<br />25°[,141
<br />Int.
<br />Angle
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />79,
<br />40°
<br />T=,13
<br />.26
<br />.40
<br />.53
<br />.67
<br />10'
<br />,03
<br />.106
<br />1.20
<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 />.093
<br />.117
<br />30
<br />.172
<br />.203
<br />.234
<br />.265
<br />,277
<br />X00
<br />.315
<br />.341
<br />40
<br />T=.15
<br />.30
<br />.44
<br />.60
<br />.761.OG
<br />140
<br />4695.2
<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 />.060
<br />.093
<br />.119
<br />.153
<br />72
<br />.210
<br />.254
<br />,289
<br />.325
<br />',331
<br />.378
<br />AN
<br />.445
<br />50,
<br />T=;17
<br />34
<br />,51
<br />G8
<br />.85
<br />20
<br />C,19
<br />1.36
<br />184
<br />1.72
<br />1.91
<br />2.10
<br />2:29
<br />2,48
<br />30
<br />E=A37
<br />.075
<br />..110
<br />.151
<br />.189
<br />30
<br />.266
<br />.305
<br />,345
<br />.384
<br />.425
<br />AG7
<br />.508
<br />.530
<br />40
<br />T=.19
<br />.38
<br />.57
<br />,76
<br />.95
<br />1.14
<br />1.32
<br />1.52
<br />Y: 2
<br />1.92
<br />2.14
<br />2.35
<br />2.56
<br />2,77
<br />73
<br />4239.7
<br />.093
<br />.142
<br />.188
<br />.236
<br />.283
<br />.332
<br />3.81
<br />.420
<br />.479
<br />.530
<br />.582
<br />.641
<br />.7W
<br />60°
<br />T=.21
<br />42
<br />•63
<br />.84
<br />1,05
<br />1.27
<br />1 A9
<br />1. �1
<br />Y. 94
<br />2.17
<br />2.38
<br />2.60
<br />2.83
<br />3 0 7
<br />30
<br />_] =.Ob6
<br />I12
<br />.168
<br />.225
<br />.283
<br />.340
<br />.398
<br />.457
<br />.516
<br />.575
<br />.636
<br />:697
<br />.774
<br />..851
<br />50
<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 />2.33
<br />12.63
<br />2,88
<br />3.13
<br />3.39
<br />10
<br />E-.067
<br />.135
<br />.204
<br />.273
<br />.343
<br />.412
<br />.483
<br />.554
<br />,025
<br />AD7
<br />.711
<br />.845
<br />.925
<br />1.01
<br />TA13LE I. --- Tangents and Externals to a 1° Curve. V
<br />Chord= 100 ft.
<br />Int:Ist.
<br />Angle
<br />Tangent
<br />External
<br />Angle :
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />64°
<br />3530.3
<br />1026.6
<br />71°
<br />4086.9
<br />1308.2
<br />78°
<br />4639.8
<br />`4653.6
<br />1643.0
<br />10'3501.9
<br />T3.21
<br />1032.8
<br />10'
<br />4099.5
<br />:1315,f
<br />10'
<br />2.17
<br />1651.7
<br />20
<br />3Q03.5
<br />10.39.0
<br />20
<br />4112.1
<br />1322.9
<br />20
<br />4GG7-,4
<br />1660.5
<br />30
<br />3615.1
<br />1045.2
<br />30
<br />4124.8
<br />1330.3
<br />30
<br />4681.3
<br />1069.2
<br />40
<br />3626.8
<br />1051.4
<br />40
<br />4137.4
<br />1337.7
<br />140
<br />4695.2
<br />1678.1
<br />50
<br />3638:'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 />4162.8
<br />1352.6
<br />79
<br />4723.2
<br />1695.8
<br />10
<br />3661.9
<br />1070.2
<br />10
<br />4175.6
<br />1360.1
<br />10
<br />1737.2
<br />1704.7
<br />20
<br />3673.7
<br />1076.6
<br />20
<br />4138.5
<br />1367.0
<br />20
<br />4751.2
<br />1713.7
<br />30
<br />3685.4
<br />1032.9
<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 />80
<br />4807.7
<br />1749.9
<br />10
<br />3732.7
<br />1108.6
<br />10
<br />4252,G
<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 />4850.3
<br />1777.4
<br />40
<br />37GS.5
<br />1128.2
<br />40
<br />4291,5
<br />141_9.0
<br />40
<br />4864.8
<br />1786.7
<br />5o
<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 />1805.3
<br />10
<br />3801.4
<br />1148.0
<br />10
<br />4330.7
<br />1152.5
<br />10
<br />4908.0
<br />1814.7
<br />20
<br />3316.4
<br />1.154.7
<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 />4356.9
<br />1468.4
<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 />4966.1
<br />1852.6
<br />3864.7
<br />1181.6
<br />75
<br />4396.5
<br />1492.4
<br />82
<br />4980.7
<br />1882.2.
<br />.68
<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 />5030.5
<br />1900.9
<br />50
<br />3923.6
<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 />W
<br />5084:0
<br />1930.'4
<br />20
<br />3962.5
<br />1236.7
<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 />1.574.7
<br />40
<br />512819
<br />1960.2
<br />50
<br />.3999.5
<br />1257.0
<br />50
<br />4:144.0
<br />1593.1
<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 />1980.4
<br />10
<br />1272.1
<br />10
<br />4571.2
<br />1600.1
<br />.10
<br />5174.1
<br />1990.5
<br />20
<br />.4024 .4
<br />4036,8
<br />1279,3
<br />20
<br />4584.8
<br />20
<br />5189.8
<br />2000.6
<br />30
<br />4049.3
<br />1286.5
<br />30
<br />4598.5
<br />,1608.6
<br />1617.1
<br />30
<br />5204.4
<br />2010.8
<br />40
<br />4061.8
<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 />4625.0
<br />1634.4
<br />50
<br />5234,9
<br />2031.4
<br />Corrections to be Added (T = Tangent.. E,=External.)_
<br />Iut.
<br />Curve 5°
<br />10° 15° 20°
<br />25° 3D°
<br />35°
<br />40°
<br />45°
<br />.50°
<br />SS°' .60°, 65° TD°
<br />_An81e
<br />T3.21
<br />.42 .63 .:84
<br />1.05 1.27
<br />1.49
<br />1.71
<br />1.94
<br />2.17
<br />2,38 2,60 2,83 3.07 "
<br />60°
<br />E=:056'
<br />.112 ,168 •.225
<br />.283 .340
<br />.308
<br />.457
<br />.510
<br />.575
<br />,636 .697 ,774 .851
<br />T=.23
<br />9 93
<br />1.16 1.40
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63 2.88 8.18 3.39
<br />65°
<br />I;=.067
<br />04 273
<br />.343 .4I2
<br />A83
<br />.554
<br />.625
<br />.697
<br />.71E .646 .922 1.01.
<br />T=-25
<br />0 1.02
<br />],2$ 154
<br />1.80.2.06
<br />2.33
<br />2.60
<br />2.88 3.16 3.94 3.72
<br />70°
<br />E.=:080
<br />40 .321
<br />.403 .485
<br />.56B
<br />.652
<br />,735
<br />.819
<br />.906 .994 1.08 1.17
<br />T=.27
<br />3 I.12
<br />1.40 1.69
<br />1.98
<br />2.27
<br />2.57
<br />2.87
<br />3.16 3.47 3.75 4.09
<br />75°
<br />E=.095
<br />86 .383
<br />fl.51.76
<br />.480 .578
<br />.678
<br />.777
<br />.877
<br />.977
<br />1.07 1.18 1.29 1,39
<br />T=.30
<br />01 122
<br />1.53 1.84
<br />2.15'
<br />2.40
<br />2.78
<br />3.10
<br />3,44 3.78 4.12 4.46
<br />80,
<br />E=.110'332
<br />,445
<br />.558 .671
<br />.787
<br />.903
<br />1.02
<br />1,1
<br />1,25 1,38 1.40 1.6285°
<br />3.77 4.14 4.b5 4.50
<br />T=.33
<br />00 1.33
<br />1.61 2.02
<br />2.36 2,70
<br />3.05
<br />3.40
<br />E=.128.391
<br />.524
<br />,657 .7901
<br />.9261.00
<br />120
<br />1.34
<br />1.47 1.62 1.76 1.91
<br />
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