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IV TABLE I.. - Tangents and. Externals to. a P. Curve. <br />Chord =100 ft. <br />A g16 <br />Tangent <br />External <br />Angie <br />Tangent <br />External <br />.Angle. <br />Tangent <br />External <br />48° <br />2257.0 <br />428.5 <br />50° <br />2671.8 <br />592.3 <br />571 <br />3110.9 <br />790.1 <br />10' <br />2266.6 <br />432.0 <br />10' <br />2681.9 <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 />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 />3165.1 <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 />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 />848.1 <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 />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 />491.0 <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 />897.5 <br />30 <br />2461.7 <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 />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 />618.2 <br />54 <br />2919.4 <br />700.9 <br />61. <br />3375.0 <br />920.2 <br />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 />•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 />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 <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 />3015.2 <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 />2611.2 <br />566.9 <br />56 <br />.3046.5 <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 />764.6' <br />10 <br />3522.6 <br />996.2 <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 />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 />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 />3568.7 <br />1020.5 <br />TABLE L - Tangents and Externals to a 1° Curvy <br />Chord =100 ft. <br />Ang e <br />Corrections to be Added (T --'.Tangent. . E = External.) <br />gngle <br />Curve 50 <br />100 ' -15° 20° 256 30° 35° 40° 1 45° 50° ..551 60'. <br />•40°, <br />_ 7=13 <br />28 .40 .53 .67 1 .80 . .93 .106 1.20 , 1.34 1.49 1.64. <br />External <br />E =.023 <br />.046 .070 .093 .117 .141 .172 .203 .234 .265 .277 .290 <br />45° <br />T=.15 <br />.30 .44 .60 .76 1 .91 1.06 1.21 1.37 1.52 1.70 1.87 <br />1308.2 <br />E=.030 <br />.060 .093 .119 -.1531-194 '.216 :•.254 -.289 ..325 .351 .378 <br />50° <br />T=.17 <br />.34 .51 68. .85 1.02 1.19 1.36 1.54 1.72 1.91' 2.10 <br />1032.8 <br />E =.037 <br />.075 .116 .151 .189 .227 .266 .305 .345 .384 .425 .4671 <br />° <br />T=19 <br />.38 .57 .76 .95 1.14 1.32 1.52 1.72 1.92 2.14 2.35 <br />'1651.7 <br />E=.046 <br />.093 .142 .188 .236 .283 .332 3.81 .420 .479 .530 .582 <br />60° <br />T=.21 <br />.42 .63 .84 1.05 1.27 1.49 1.71 1.94 2.17 2.38 2.60 <br />1322.9 <br />E=.056 <br />.112 .168 .225 .283 .340 .398 .457 .516 .575 .636 .697 <br />65o <br />T=.23 <br />All 69 93 1.16 1.40 1.64 1.88 2.13 2.38 2.63 2.88 <br />1045.2 <br />E=.067 <br />.135 .204 .273 .343 .412 .483 b54 .625 .697 .711 .845 <br />1330.3 <br />30 <br />'4681.3 <br />TABLE L - Tangents and Externals to a 1° Curvy <br />Chord =100 ft. <br />Ang e <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />840 <br />3580.3 <br />1026.6 <br />71° <br />4086.9 <br />1308.2 <br />180 <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 />'50 <br />4137.4 <br />•1337.7 <br />40 <br />469.5.2 <br />1678.1 <br />SO' <br />3638.5 <br />,1057.7 <br />4150.1 <br />.1345.1 <br />. <br />„ 50 <br />;4709,.2 <br />1858.9 <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 />1390.4 <br />50 <br />4793.6 <br />1740.8 <br />66 <br />3720.9 <br />1102.2 <br />73. <br />X4239.7 <br />.1398 .0 <br />80 <br />4807.7 <br />1749. 9, <br />10 <br />3732.7 <br />1108.6 <br />10 <br />4252.6 <br />1405.7 <br />10 <br />482-2.0 <br />1759.0 <br />20 <br />3744.6 <br />1115.1 <br />4265.6 <br />1413.5 <br />20 <br />4836.2 <br />1768.2 <br />30 <br />3756.5' <br />1121.7 <br />.:20 <br />30 <br />.4278.5 <br />1421.2 <br />30 <br />4856:5 <br />1777.4 <br />40 <br />3768.5 <br />1128.2 <br />40 <br />14291.5 <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 />07:.' <br />3792.4 <br />1141:4 <br />74 . <br />.4317.6 <br />1444.6 <br />81 <br />'489J.6 <br />1805:3 <br />10• <br />3804.4 <br />1148.0 <br />10- <br />4330.7 <br />1452.5 <br />10. <br />4909.0 <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 />4968.1 <br />1852.6 <br />68, <br />3864.7 <br />1181.6- <br />75 <br />4396.5 <br />.1492.4 <br />S2 <br />4980:7 <br />1862.2 <br />10 <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 />AO <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 />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 />512S5.9 <br />•1960.2 <br />b0. <br />3999.5 <br />1257.9 <br />50' <br />4544.0 <br />1583.1 <br />50 <br />514.3.9 <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 />5173,.1' <br />1990.5 <br />20 <br />4036.8 <br />1279.3 <br />20_. <br />4584.8 <br />1608.6 <br />20 <br />5 M.3 <br />2000.6 <br />30 <br />4049.3 <br />1286.5 <br />30 <br />4598.5 <br />1617.1 <br />30 <br />5203:.4 <br />2010.8 <br />40 <br />4061.8 <br />1293.6 <br />40 <br />4612.2 <br />1625.7 <br />40. <br />52191.7 <br />2021.1 <br />150 <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 />70° <br />Int. <br />Angle <br />Curve 5° <br />10° 15° 20° 1 25° 1 30° 35° 40° 1 45° 50° 55° 40° 1 65° 70° <br />�.941 <br />80° <br />T=.21 • <br />E =.056 <br />.42 .63 .84 1.05 1.27 1.49 1.71 1.94 2.17 2.38 2A0 2.83 3.07 <br />.168 <br />3.21T <br />=.23 <br />.112 .225 .283 .340 .398 .457 .516 .575 .636, .•697 •774 .85 <br />:46 .69 .93 1.16 1.40 1.64 1.88 2.13 2.38 2.63 2:88 3.13 3.39 <br />.44-11 <br />65° <br />E=.067 <br />'.204 •.273 1.01 <br />3.550 <br />T=.25 <br />.135 .343 .412 .483 .554 .625 .697 .711 .345 .922 <br />.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 />70° <br />E=.080 <br />'.1591'.240 1.08 1.17 <br />3'77 <br />75 ° <br />T=.27 <br />.652 .735 .819 .906 •.994 <br />.56 .83 1.12 1.40 1.62.27 2.57 2.87 3.16 S A7 3.78 4.09 <br />.321 .403 .4A2.30 <br />•700 <br />E=.095' <br />:182 .286 •.383 1.07 1.18 1.29 L-39- <br />3.07 <br />80° <br />T=..30 <br />.480 .5 .777 .877 .977 <br />.61 .91 1.22 1.53 1.82.46 2.78 3.10 3.44 3'.78. 4.12 4.46 <br />.851 <br />E=.110 <br />'.220 .332 1.02 1.13 1.25 1.88 1 50 1.62 <br />;•39 <br />1.01 <br />�' <br />.445 .558 .6 .903 <br />66 1.00 1.33 1.68 2.02.70 3.05 3.40 3.77 4 14 4.5b 4.89 <br />E-.33 <br />E=.128 <br />.259 .391 .524 .6571.06 1.20 134 1.37 762 1.76 1.91 <br />