|
IV TABLE 4. Tangents and Externals to a 11•Curve.
<br />Chord= 100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />t>�gla
<br />Tangent
<br />External
<br />43°,
<br />2257.0
<br />428.5
<br />.•50°
<br />2671.8
<br />592.3
<br />S7°
<br />3110.9
<br />'3121.7
<br />790.1-
<br />1.
<br />10,
<br />'2266.6
<br />432.0
<br />10'
<br />2681.9
<br />-596.6
<br />10'
<br />T=.17
<br />795.2
<br />20
<br />2276.2
<br />435.6
<br />20
<br />2692.1
<br />600.9'
<br />20 '.3132:6
<br />.76 .95
<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 />.3165:1'
<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 />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 />3p
<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 />848.1
<br />45
<br />2373.3
<br />472.1
<br />52
<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 />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 />654.3
<br />20
<br />3263.7
<br />864.3
<br />'
<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 />-487.2
<br />40
<br />2835.9
<br />663.4
<br />40
<br />3285.8
<br />875:3
<br />50
<br />2422.3
<br />1491.0!
<br />50
<br />2846.3
<br />668.0
<br />50
<br />3296.9
<br />880.8
<br />48 .
<br />2432.1
<br />494.8
<br />53
<br />2856.7
<br />672.7
<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 />L 897:5
<br />30
<br />2461.7
<br />506.4'
<br />30
<br />2888.0
<br />686.7
<br />30
<br />'3341.4'
<br />'3352.6
<br />-903.2
<br />-30
<br />"'40
<br />2471.5
<br />510.3
<br />40
<br />2898.4
<br />691.4
<br />40
<br />4951.5,
<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 />:m 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 />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 />•50
<br />3420.1
<br />943.1
<br />50
<br />-2541.0
<br />538.2
<br />50
<br />2972.1
<br />725.0
<br />40
<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 />20
<br />-2571.0
<br />550.4
<br />20
<br />`3003.9
<br />739.7;
<br />20 ..3465.4
<br />5084.0
<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 />'978.3
<br />" 40
<br />2591.0'
<br />558.6
<br />.40
<br />3025'.2
<br />749.6'
<br />40
<br />3488.3,
<br />'1950.3
<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 />4g
<br />.2611.2
<br />566.9
<br />56
<br />3046.5
<br />759.6
<br />63
<br />"
<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 />2p
<br />2631.3
<br />575.3
<br />20
<br />3067.9
<br />769.7
<br />20
<br />3534.1
<br />L002.3
<br />30
<br />2641.4
<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 />1 3089.4
<br />779.8
<br />40
<br />3557.2
<br />1014.4
<br />50
<br />2661.6
<br />588.0
<br />50
<br />1 3100.2
<br />1 784.9
<br />50
<br />3568.7
<br />1020.5
<br />Corrections to be Added (T =Tangent. E = External.)
<br />Int.
<br />Gave 50
<br />'10° 15° 20° 25°
<br />30° 350 40° 45° 50° 55° 60' 65° 70°
<br />Angle
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />T=.13
<br />.40 .53 .67
<br />.80 .93 .1061.20 1.34 1.49 1.64 1.79 1.94
<br />40°
<br />E=.023
<br />.26
<br />046 .070 .093 .117
<br />.141 .172 .203 .234 .265 .277 .290 .315 .341
<br />4639.8
<br />T=.15
<br />.44 .60 .76 .
<br />.91 1.06 1.21 1.37 1.52 1.70 1.87 2.04 2.21
<br />45°
<br />E=.030
<br />.30
<br />.060 .093 '11fl .153
<br />.184 .218 .254 .289 ..325 .351 .378 .411 .441;
<br />10'
<br />T=.17
<br />.51 .68 .85
<br />1.02 1.19 1.36 1.54 1.72 1.91 2.10 2.29 2.48
<br />50°
<br />E =.037
<br />.34
<br />.075 .116 .151 .189
<br />.227 .266 .305 .345 .384 .425 .467 .508 .550
<br />1322.9
<br />9
<br />.76 .95
<br />1.14 1.32 1.52 1.72 1.92 2.14 2.35 2.58 2.17
<br />55°
<br />46
<br />.38 .57
<br />.093 .142 .188 .236
<br />.283 .332 3.81 .420 .479 .530 .582 .641 .700
<br />4124.8
<br />1 .63 84 1.05
<br />1.27 1.49 1.71 1.94 2.17 2.38 2.60 2.83 3.07
<br />60°
<br />56
<br />PT
<br />.42
<br />.112 .168 .225 .283
<br />.340 .398 .457 .518 .575 .636 .697 .774 .851
<br />1051.4
<br />-.23
<br />69 93 1.16
<br />1.40 1.64 1.88 2.13 2.38 2.63 2.88 3.13 3.39
<br />65°
<br />087
<br />.46
<br />.135 204 273 38
<br />.41'2 .483 .654 .625 .697 .711 .845 .92211-01
<br />TABLn L= 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
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />84°
<br />3580.3
<br />1026.6
<br />71°
<br />4086.9
<br />1308.2
<br />781
<br />4639.8
<br />1643.0
<br />10'
<br />3591.9
<br />1032.8
<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 />j„ 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 />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 />'1382.8
<br />40
<br />'4779.4
<br />1731.7
<br />50
<br />3709.0
<br />1095.7
<br />50
<br />4226.8
<br />1
<br />1390.4
<br />50
<br />4793.6,
<br />1740.8
<br />60
<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 />'4252:6
<br />1405.7
<br />10,
<br />1759:0
<br />20
<br />3744.6
<br />1115.1
<br />•10:.
<br />20_
<br />,4265.6
<br />1413.5
<br />20
<br />,4822.0
<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 />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 />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 />4383,3
<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 />•4409.8
<br />•1500.5
<br />10
<br />4995.4
<br />1871.9
<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 />'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 />3937.9
<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 />_
<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 />'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 />4544.0
<br />1583.1
<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 />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 />: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 />4626.0
<br />1634.4
<br />.50
<br />5234.9
<br />2031,4
<br />Corrections to be Added (T =Tangent. E =External.)
<br />Ingle Curve 5° 10° 15° 20° 25° 30° 35° 40° 145° 50° 55° 60° 65° 70°
<br />60° T=.21 .42 .63 .84 1.05 1.27 1.49 1.71' 1.94 2.17 2.38 2.60 2.83 3.07
<br />E=.056 .112 .168 .225 .283 .340 .398 .457 .516 .575 .636 .697 .774 .851
<br />65° .13
<br />3.39
<br />E=.067 5 .204 .273 1.16 .343 1 412 1. 83 1.13 .554 .88 2.625 ? 697 38 2.711 .63 2.845 .88 3
<br />.13 922 1.01'
<br />70° T=.25 .51 76 1.02 1.28 1.54 1.80 2.06 2.33 2.60 2.88 3.16 3.44 3.72
<br />E=.080 .159 .240 .321 .403 .485 .568 .652 .735 .819 .906 .994 1.08 1.17
<br />75° T=.27.56 .83 1.12 1.40 1.69 1.98 2.27 2.57 2.57 3.16 3.47 3.78 4.09
<br />E=.095 .182 *.286 .383 .480 .578 .678 .777 .877 .977 1.07 1.18 1.29 11.39
<br />800 T=.30 .61 .91 1.22 1.53 1.84 2.15 2.46 2.78 3.10 3.44, 3.78 4.12 4.46
<br />- E=.110 .220 .332 .445 .558 .671 .787 .903 1.02 1.13 11.25 1.38 1.50 1.62
<br />�o T=.33 66 1.00 1.33 1.68 2.02 2.36 2.70 3.05 3.40 3.77 4.14 4.55 4.89
<br />E=.128 .259 .391 .524 .657 ,.790 -.92 1.06 1.20 1 1-34 11.47 1.62 '1.78 11.91.
<br />
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