|
TASI,E,I:,=- Tarigents.and'Externals to.a 1°,Curve. .
<br />Chard"=700 ft..
<br />Int. ,
<br />- •Angle.'
<br />Tangent
<br />External:
<br />Int.
<br />'.Angle ,'
<br />Tangent
<br />RxterrwI
<br />Int.
<br />Angle •' Tangent'
<br />External
<br />43°•
<br />2257:0
<br />428.5
<br />50°
<br />2671.3
<br />592.3
<br />57° 31'10.9
<br />700.1
<br />I0'
<br />'2266.$
<br />432.0
<br />101
<br />2681.9
<br />'590.0
<br />10' :3121:7
<br />2.21
<br />20 _
<br />-2276.2
<br />435.6
<br />20
<br />2692.1
<br />600.9
<br />-20 :•3132:6'
<br />.795.2
<br />800.4
<br />30
<br />9285.9
<br />439.2
<br />.30
<br />2702.3
<br />605.3
<br />30 3143.4.
<br />805.6
<br />40
<br />2295,6
<br />.442.8
<br />40
<br />2712.5
<br />600.6
<br />.40 3154:2
<br />.SC0.9
<br />f0
<br />2304.2;
<br />446.4
<br />50
<br />2722.7
<br />614.0
<br />50 3165,1,
<br />.8t6.1
<br />i4'.
<br />2314.0i
<br />450.0
<br />51"'
<br />2732.9
<br />Gis'4
<br />58'. '-3176:0"
<br />821.4
<br />10
<br />2324.6
<br />453,.6
<br />10
<br />2743:1
<br />622.8
<br />10 '.'31867.9
<br />826.7
<br />20
<br />.2334 37
<br />457.3
<br />'461.0
<br />20
<br />2753:4
<br />027,2
<br />20 3197:8:
<br />832,0
<br />30
<br />2344.1;
<br />3673.7
<br />30,.'
<br />2763.7
<br />631.7
<br />•30 3208.8
<br />837.3
<br />40
<br />2353.S'
<br />464.6
<br />40 '.2773.9
<br />1082.9
<br />$36,2
<br />40 3219.7
<br />542.7
<br />50
<br />2363.5•
<br />468.4
<br />50
<br />•2784.2
<br />640.7
<br />50 3230.7
<br />S48.1
<br />: 1382.8
<br />2373;8
<br />472A
<br />52 .
<br />2704,5
<br />645:2
<br />59 3241.7
<br />853.5
<br />10
<br />2383.1:
<br />.475.8'
<br />10
<br />2804.9
<br />649:7
<br />10 ' 3252.7
<br />858.9
<br />20
<br />.2392,8-
<br />479.6
<br />,20
<br />2815.2
<br />654.3
<br />20 •3263.7'
<br />804.3
<br />30
<br />40
<br />2402.0
<br />2412,4'
<br />,483.4
<br />30
<br />2S25.0
<br />658.8
<br />30 3274.81
<br />869.8
<br />5b
<br />•2422.3
<br />487,2
<br />40
<br />2833.9
<br />063.4
<br />40 3285.8'
<br />875.8
<br />30
<br />3756.5
<br />491.0
<br />_ 50
<br />2846.3
<br />608.0
<br />•50, 329G.0
<br />880.8
<br />Ito
<br />X9432.1:
<br />494.8
<br />53
<br />2856.7
<br />672:7
<br />G0, 3308.0
<br />886,4
<br />10
<br />2441,9
<br />498.1
<br />10
<br />2867.1
<br />677.3
<br />10 3319:1
<br />892.0
<br />20
<br />2451.8
<br />502.5
<br />20
<br />2877-5
<br />682.0
<br />20 3330.3
<br />897.5
<br />30
<br />2461.7
<br />506.4
<br />.30
<br />•2888.0
<br />686.7
<br />30 3341.4
<br />903-2
<br />. 40--
<br />2471:5
<br />510.3.
<br />40
<br />2895:4
<br />691.4
<br />40 3352,6
<br />908.8
<br />50
<br />2481.4
<br />514.3
<br />50
<br />_2908.9
<br />696.1
<br />50 3363.8
<br />.914.5
<br />A7.
<br />2491.3
<br />518.2
<br />54.
<br />2919.4
<br />r700.0
<br />61L . 3375.0
<br />•920.2
<br />10
<br />2501.2
<br />522.2
<br />30
<br />2929:9
<br />705.7
<br />10 3386.3
<br />1843.1
<br />20
<br />2511.2
<br />526.1
<br />20
<br />2940A
<br />710.5
<br />20' 3397,5
<br />.925.9
<br />:931,6
<br />30 '
<br />2521.1'
<br />,930.1
<br />30
<br />2951.0
<br />715.3
<br />3p" 3408.8
<br />937.3
<br />40
<br />2531.1
<br />534.2
<br />40
<br />2961.5
<br />720.1
<br />40 3420;1
<br />" 943.1
<br />50
<br />2541.0
<br />538.2
<br />50
<br />2972:1
<br />725.0
<br />50 3931,4
<br />948.9
<br />48
<br />2551.0
<br />542.2
<br />55T
<br />2982.7
<br />729.9.
<br />62 3442.7
<br />954.8
<br />10
<br />2501.0
<br />546.3
<br />10
<br />2993.3
<br />734.8
<br />10 .' 3454.1
<br />950.6
<br />20
<br />2571.0
<br />550.4
<br />20
<br />3003.0
<br />739.7
<br />20 .3465.4
<br />066.5
<br />30
<br />2581.0.
<br />554.5
<br />30
<br />3014.5
<br />744.6
<br />30. 3476.8
<br />972.4
<br />40
<br />2501.0
<br />558.6
<br />40
<br />3025.2
<br />749.6
<br />40 3488.3
<br />078.3
<br />50
<br />2601,1
<br />562.8
<br />50
<br />3035.8
<br />754.6
<br />50 3499.7,
<br />98.1.3
<br />49.
<br />2611-.2•
<br />566.9
<br />56
<br />3046.5
<br />759.6
<br />63 3511.1
<br />990.2
<br />10
<br />2621, 2.
<br />571.1
<br />10
<br />3057.2
<br />764.6
<br />10 3522.6
<br />096.2
<br />20
<br />2631.3
<br />575.3,
<br />.20
<br />3067,0
<br />769.7
<br />20 353441
<br />3002.3
<br />30
<br />2641.4
<br />579.5
<br />30
<br />307S,7
<br />774.7
<br />30 3545.6
<br />1008.3
<br />40
<br />S0
<br />2651.5
<br />583.8
<br />40
<br />3080.4
<br />279.8
<br />40` 3557.2'
<br />1014.4
<br />77
<br />1$61,6'
<br />588.0
<br />- 50
<br />3109.2
<br />784.9
<br />50 3565.7.
<br />1020.5
<br />Corrections -to be Added (T=Tangent. E=External.)
<br />Angle
<br />Curve 50 10°
<br />15' 2D°' 25° -30° 3S°" '40°
<br />45° 50° 55° 60°
<br />65°
<br />70°
<br />40° °
<br />'T=.13 " .26
<br />.40 ",53 .67 .80 .93 .106
<br />1 .0, 1:34 1.49 1.64
<br />1.79
<br />1.94
<br />71°
<br />E =.023 .046
<br />.070 ,093 :117 A41' .172 ,203
<br />.234 ':265 .277 :290
<br />.315
<br />.341
<br />450
<br />T-.15 .30
<br />A 160, .76 .91 1,06 L21
<br />1.37 1.52 1.70 1.87
<br />'2.04
<br />2.21
<br />10'
<br />E =.030 •.060
<br />.093 ,119 :153 .184 .210 .254
<br />-289 •.325 .351 .378
<br />.411
<br />.445
<br />50°
<br />T=:17 .34
<br />':5I: .68 ..85 1.02 1:19 1.36
<br />1.54 1.72' 1:91 2.10
<br />2.29
<br />2,46
<br />30
<br />E='037. .075
<br />.116 .161 .169 .227 .266 _305
<br />'.345 .384 .425 .407
<br />.508
<br />.550
<br />55°
<br />T =.19 ` .38
<br />.57' .76 .95 1,14 1.32 1.52
<br />1.72 1.92 2.14 2.35
<br />2.56
<br />2.77
<br />.40
<br />E =.04G .093
<br />.142 .188 .930 .283 .332 3.81
<br />.420 A79 .530 .582
<br />.841
<br />.700
<br />60°
<br />T=•21 42
<br />.63 84 1.05' 1.27 1.49, 1.71
<br />1.94 2.17 2,38 2:60,
<br />2.83
<br />3.07
<br />50
<br />E=,056 .112
<br />,108 .225 .283 .340 .398 .457
<br />.519 :575 .636 .697
<br />.774
<br />.8
<br />650
<br />T=• 46
<br />69. 93 1.16 1.40 1.64 1.88
<br />2.13 2.38 2.63 2.88
<br />3.13
<br />3.3
<br />.10
<br />E =.067 .135
<br />:204 .273 .343 .412 ASS .554
<br />.625 .697 .711 .845
<br />.922
<br />1.01
<br />TABLE, 1. - Tangents,.. d:llxternals•to a.40 Curve.`
<br />Chord- 100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />Externa]
<br />Int.
<br />Angle •
<br />.Tangent
<br />-
<br />External
<br />Int.
<br />. Angle-'
<br />Tangent
<br />Extepial
<br />64°
<br />3580.3
<br />1026.6
<br />71°
<br />4080.9,
<br />1308.2
<br />780
<br />4639.8
<br />1643.0
<br />10'
<br />3591f.9
<br />1032.5
<br />10'
<br />4099.5
<br />1315.6
<br />10'
<br />4653.6
<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 />4681:3
<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 />3638.5
<br />1057.7
<br />50
<br />4150.1
<br />134:5.1
<br />50
<br />4709.2
<br />1686.9
<br />653650.2
<br />1.88'
<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 />4175.0
<br />1360.1
<br />10
<br />4737.2
<br />1704.7
<br />20
<br />3673.7
<br />1076.6
<br />20.
<br />4168.5
<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 />4705.3
<br />1722.7
<br />40
<br />3697.2
<br />1089.3.40
<br />.321
<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 />'60
<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 />4252.6"1405.7
<br />.480
<br />lU .
<br />4822.0
<br />1759.0
<br />20
<br />3744.6
<br />1115.1
<br />20
<br />4265.5
<br />1413.5
<br />2U
<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 />3768,5
<br />1128.2
<br />40
<br />4291..5..
<br />1429.0
<br />. 40
<br />4804.8
<br />1789.7
<br />.50
<br />3780.4
<br />1134.8
<br />-50_
<br />4304.6
<br />1436.8
<br />,5U
<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 />3804,4
<br />1148.0
<br />10
<br />,4330.7
<br />"1452.5
<br />10
<br />4908.0
<br />1814.7
<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 />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 />4353.3
<br />1484.4.
<br />50
<br />4966.1
<br />1852.6
<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 />4109.8
<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 />4449.7.
<br />1524.9
<br />40
<br />5039.5
<br />,1900.9
<br />50
<br />3925.6
<br />1'215.8
<br />,40
<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 />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 />'1050.3
<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 />"12-57.9
<br />50
<br />4544.0,
<br />1533.1
<br />50
<br />5143.9
<br />1970.3
<br />70
<br />4011.9
<br />12G5:0
<br />77
<br />4557.6
<br />1591. G'
<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 />4049.3
<br />1286.5
<br />30 '
<br />4598.5,
<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 />4626-0+
<br />1G34.4
<br />50-
<br />15234.9.,,
<br />2031.4
<br />Corrections to be Added (T= Tangent. : E=External.)
<br />IDL
<br />Curve 5°
<br />10°
<br />150
<br />20°
<br />25°
<br />30°
<br />35°
<br />400
<br />45°. 500
<br />55°
<br />60°
<br />65°
<br />70°
<br />Angle.
<br />T=•21
<br />.42
<br />.53
<br />.84
<br />1.05
<br />1.27
<br />MD
<br />1.71
<br />1.94 2,17
<br />2.38
<br />2.60
<br />2.83
<br />3.97
<br />E=.056
<br />.112
<br />,M
<br />.225
<br />.283,
<br />.340
<br />.398
<br />.457
<br />.516' ,575
<br />,636
<br />.697
<br />,774
<br />•851-
<br />65°
<br />T=.23
<br />.46
<br />.69
<br />.93
<br />1.16
<br />1.40
<br />I.64
<br />1.88'
<br />2.13 2.38
<br />2.63
<br />2.88
<br />3.13
<br />3AD
<br />.E =.067
<br />.135.
<br />.201
<br />.273
<br />.343
<br />.412
<br />.493
<br />.554
<br />.625 .6 D7
<br />.711
<br />.84.5
<br />.922
<br />1.01._,
<br />700
<br />T=.25
<br />.51
<br />.76
<br />1.62
<br />1.28
<br />1.54
<br />1.80
<br />2.06
<br />2.33 2.60
<br />2.86
<br />3.16
<br />3.44
<br />3.72-
<br />E =.080
<br />.159
<br />.240
<br />.321
<br />.403
<br />.485
<br />.508
<br />.652
<br />.735 .819
<br />.906
<br />.994
<br />1.08
<br />1.17 _
<br />75°
<br />T=.27.
<br />.56.
<br />83
<br />1.12
<br />1.40
<br />1.69
<br />1.99
<br />2.27
<br />287 2.$7
<br />3.16
<br />3A
<br />3.78
<br />4.09
<br />E =,095
<br />.182
<br />.286
<br />.383
<br />.480
<br />-.578
<br />:678
<br />.777
<br />•877 .977
<br />1.07
<br />1.18
<br />1.29
<br />1.39
<br />800
<br />T=-30
<br />G1
<br />.91
<br />1.22
<br />1.53
<br />1.84
<br />2.15
<br />246
<br />2.78 3.10
<br />3,44
<br />3.7S
<br />4.12
<br />4A0
<br />E =.110
<br />.220
<br />.332
<br />.445
<br />.558
<br />.671
<br />.787
<br />.903
<br />1.02 1.13
<br />1 25
<br />1.38
<br />1.50
<br />1.62
<br />850
<br />T=,33
<br />6.6
<br />1.00
<br />1.33
<br />168
<br />2.02
<br />2.36
<br />2.70
<br />3.05 3.40
<br />3,77
<br />4,14
<br />4.55
<br />4.89,
<br />E=.128
<br />:259
<br />.391
<br />.524
<br />.657
<br />.790
<br />.927
<br />L05
<br />1.20 1:34
<br />1.•17
<br />1-62
<br />1.76
<br />1,91
<br />
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