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' IV TABLE I. - Tangents and Externals to .*a 1° Curve. <br />Chord =100 ft. r <br />,.I <br />.I� <br />f <br />�1A <br />Tangent <br />External <br />Int;Angle <br />Tangent <br />External, <br />Wigle <br />Tangent <br />External <br />43°. <br />2257.0 <br />428.5, <br />50° <br />2671.8 <br />592.3 <br />57° <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 />, <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 />.875.2 <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 />"46 <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 />G7•- <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 />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 />150 <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 />3025.2 <br />.749.6 <br />40 <br />3488.3 <br />,978.3 <br />50 <br />2601.1 <br />562.8 <br />50 <br />8035.8 <br />754.6 <br />50 <br />3499:7 <br />984.3 <br />A9-. <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 />'588.0,1 <br />50 <br />8100.2 <br />784.9 <br />50 <br />3568.7 <br />1020.5 <br />Corrections to be Added (T=Tangent. ' E=External.) <br />is Curve 5° 1 10° 1 15° 1 20 1 256 1 30 35° j 40° 1 45q 50° 1 55° 1 60° 1 65° 1 70° <br />.46 I 69 <br />.135 .204 <br />.60 <br />.119 <br />1.49 <br />.398 <br />1.72 <br />.420 <br />2.60 2.83 3.07 <br />.697 .774 .85 <br />2.88 3.13 3.39 <br />.845 .922 1.01 <br />TABLlJ L- Tangents and External0d a 1° Curve.. V' <br />Chord =100 ft_ ' <br />Anglemo <br />,Tangent <br />40° <br />Angle <br />Tangent <br />E <br />'Angle <br />Tangent <br />T <br />64° <br />3580.8 <br />45° E <br />71° <br />4086.9 <br />T <br />I, <br />4639.8 <br />50° E <br />10' <br />3591.9 <br />T <br />10' <br />4099.5 <br />55° E <br />;i <br />4653.6 <br />1651.7 <br />1 <br />3603.5 <br />60° <br />20 <br />4112.1 <br />E <br />20 <br />4667.4 <br />1660.5 <br />4 <br />3615.1 <br />65° <br />.46 I 69 <br />.135 .204 <br />.60 <br />.119 <br />1.49 <br />.398 <br />1.72 <br />.420 <br />2.60 2.83 3.07 <br />.697 .774 .85 <br />2.88 3.13 3.39 <br />.845 .922 1.01 <br />TABLlJ L- Tangents and External0d a 1° Curve.. V' <br />Chord =100 ft_ ' <br />Anglemo <br />,Tangent <br />External <br />Angle <br />Tangent <br />External <br />'Angle <br />Tangent <br />External <br />64° <br />3580.8 <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 />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 />391 .524 .857 ,. .92 1.06 1.20 1.34 1.97 <br />4681.3 <br />1669.2 <br />"40 <br />3626.8 <br />1051.4 <br />40 <br />4137.4 <br />•1337.7 <br />.:30 <br />40 <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 />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 />11390.4 <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 />4252.6 <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 />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 />4304.6r <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 />1833.6 <br />40 <br />3840.5 <br />1168.1 <br />40 <br />4370.1 <br />1476.4 <br />.4937.0 <br />4951.5. <br />1843.1 <br />50 <br />.3852.6 <br />1174.8 <br />,50 <br />4383.3, <br />1484.4 <br />.40 <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 />1871.8 <br />20 <br />3889.0 <br />1195.2 <br />20 <br />4423.1 <br />1508.6 <br />_ <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 />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 />30. <br />4049.3 <br />1286.5 <br />30 <br />4598.5 <br />1617.1 <br />30 <br />5204.4 <br />.2000.6 <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 />I <br />In <br />Carve 5° <br />10° 15° 20° 1 25° 1 30° 35° 40° 45° 50° 550 <br />60° 65° 700 . <br />60o <br />E=.056 <br />112 68 ,225 1.05 .283 1.340 .491.398 1.457 .71 1.516 2.575 2.636 <br />2.697 ? 774 8-3 3 851 <br />�o <br />E= 067 <br />.165 .204 .273 1.343 1.412 -1.6 <br />483 1.88 554 2.13 .625 2.38 .697 2.711 <br />-FO-2 <br />2.845 .88 3 922 1.01 <br />70° <br />T=.25 <br />E=-080 <br />.51 .76 T2-8 1.54 1.80 2.06 2.33 2.60 2.88 <br />3.18 3.44 3.72- <br />.240 ..321 .403 .485 .568 .652 .735 .819 .906 <br />.994 1.08 1.17 <br />750 <br />T=.27 <br />.83 1.12 1.40 1.69 1.98 2.27 2.57 2.87 3.16 <br />3.47 3.78 4.09 <br />E=.095 <br />.286 .383 .480 .578 .678 .777 .877 .977 1.07 <br />1.15 1.29 1.39 <br />800, <br />T=.30 <br />.91 1.22 1.53 1.84 2.15 2:46312.78 3.10 3.44 <br />J.259 <br />3.78 4.12 4.46 <br />E=.110 <br />.332 .445 .558 .871 .787 90 1.02 1.13 1.25 <br />1.38 1.50 1.82 <br />is* <br />T=.33 <br />1.00 1.33 1.68 2.02 2.36 2.70 3.05 3.40 3.77 <br />4.14 4.55 4.89 <br />E=.128 <br />391 .524 .857 ,. .92 1.06 1.20 1.34 1.97 <br />1.62 1.76 1.91 <br />