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r <br />IV <br />TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord= 100 ft. <br />hl I�I(i <br />j <br />11'� I II <br />Int. <br />Angle-. <br />Tan ent <br />_ g . - <br />External <br />'Int' <br />• Angle <br />Tangent <br />g <br />External <br />Int <br />Angle <br />Tan ent <br />g <br />External <br />43° - <br />2257.0 <br />428.5 <br />SO° <br />2671.8 <br />592.3 <br />57° <br />3110.0 <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 />2270.2 <br />.435.64 <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 />31.13.4 <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 />440.4 <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 />61. <br />2732.6 <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 />82G.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 />4S3.4 <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 />3290.9 <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 />856.4 <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 />597.5 <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 />3303.8 <br />(914.5 <br />47 <br />2401:3 <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 />50 <br />2972.1 <br />725.0 <br />50 <br />3431.4 <br />948.9 <br />48 <br />2551.0 <br />542.2 <br />56 <br />2982.7 <br />729.9. <br />62 <br />3442:7 <br />954.8 <br />•10 <br />2561.0 <br />54e.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 />3035.8 <br />754.6 <br />50 <br />3499.7 <br />981.3 <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 />100SA <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 />Corrections to be Added (T = Tangent. E = External:) <br />Int <br />Angie, <br />Curve 5° <br />10° 15°. 20° 25° 30° <br />35' '40' <br />45° <br />50° <br />55° 1 <br />60° <br />65° <br />709 <br />40° <br />T=.13 <br />.20 .40 .53 .67: .80. <br />.93 .106 <br />1.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />1032.8 <br />E =.023 <br />.016 .070 .093 .117 .141 <br />.172 .203 <br />.234 <br />.265 <br />.277 <br />290 <br />.315 <br />.341 <br />45° <br />T=:15 <br />.30 .44 .60 •.76 ..91" <br />1.06 1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 <br />2.04 <br />2.21 <br />4124.3 <br />E=.030 <br />.060 .093 .119 .153 .184 <br />.216 .254 <br />.259 <br />.325 <br />.351 <br />.378 <br />.411 <br />.445 <br />50° <br />T=.17 <br />.34 .51 68 .85 1.02 <br />1.19 1.36 <br />1.54 <br />1.72 <br />1.91 <br />2.10 <br />2.29 <br />2.48 <br />50 <br />E =.037 <br />.075 .116 .151 .189 .227 <br />.260 .305 <br />.345 <br />.384 <br />.425 <br />.467 <br />.508 <br />.550 <br />55° <br />T=.19 <br />.38 .57 .76 .95' 1.14 <br />1.32 1.52 <br />1.72 <br />1.92 <br />2.14 <br />2.35 <br />2.56 <br />2.77 <br />170-L 7 <br />E=.046 <br />•.093 .142 .188 .236 .283 <br />.332 3.81 <br />.420 <br />.479 <br />.530 <br />.582 <br />.641 <br />.700 <br />60° <br />.1.=.21 <br />.42 .63 .84 1.05 1.27 <br />1.49 1.71 <br />1.94 <br />2.17 <br />2.38 <br />2.60 <br />2.83 <br />3.07 <br />3697.2 <br />E=.056 <br />.112 AGS .225 .283 .340 <br />.398 .457 <br />•.516 <br />.575 <br />.636.697 <br />173L.7 <br />.774 <br />.851 <br />65° <br />T=•23 <br />.46 .69 .93 1.16 1.40 <br />1.64 L.88 <br />2.13 <br />2.33 <br />12.63 <br />2.38 <br />3.13 <br />319 <br />73 <br />R=.067 <br />.135 .204 .273 •.343 .4121'.483 <br />.554 <br />.625 <br />.697..711 <br />10 <br />.845 <br />.922 <br />1.01 <br />TABLE 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 />Lxteinal <br />Int <br />Angle <br />Tangent <br />External <br />046 <br />35SO.3 <br />102G.G <br />71° <br />4036.9 <br />1308.2 <br />780' <br />4639.3 <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 />4607.4 <br />16GO.5 <br />-•30 <br />3615.1 <br />1015.2 <br />30 <br />4124.3 <br />1330.3 <br />30 <br />46S1.3 <br />1669.2 <br />ro 40 <br />3626.8 <br />1051.4 <br />40 <br />4137.4 <br />1337.7 <br />40 <br />4695.2 <br />1679.1 <br />50 <br />3638.5 <br />1057.7 <br />50 <br />4150.1 <br />1345.1 <br />50 <br />4709.2 <br />1636.9 <br />65 <br />3650.2 <br />1063.9 <br />72 <br />4163.8 <br />1352.6 <br />79- <br />4723.2 <br />1695.8 <br />10 <br />3661.9 <br />1070.2 <br />10 <br />4175.G <br />1360.1 <br />10 <br />4737.2 <br />170-L 7 <br />20 <br />3673.7 <br />1076.14 <br />20 <br />41SS.5 <br />1367.6 <br />20 <br />4751.2 <br />1713.7 <br />30 <br />3GS5:4 <br />IOS2.9 <br />30 <br />4201.2 <br />1375.2 <br />30 <br />4705.3 <br />1722.7 <br />40 <br />3697.2 <br />1089.3 <br />40 <br />4214.0 <br />1352.8 <br />40 <br />4779.4 <br />173L.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 />139S.0 <br />80 - <br />4807.7 <br />1749.9 <br />10 <br />3732.7 <br />1108.6 <br />10 <br />4252.6 <br />1.105.7 <br />10 <br />4822.0 <br />1759.0 <br />20 <br />3744.G <br />1115.1 <br />20 <br />4265.6 <br />1413.5 <br />20 <br />4836.2 <br />1765.2 <br />30 <br />3756.5 <br />1121.7 <br />30 <br />4275.5 <br />1421.2 <br />30 <br />4350.5 <br />1747.4 <br />40 <br />3768.5 <br />1128.2 <br />40 <br />4291.5 <br />1429.0 <br />40 <br />4864.8 <br />178G.7 <br />50 <br />3780.4 <br />113.5.8 <br />50 <br />4101.6 <br />1436.8 <br />50 <br />4879.2 <br />179G.0 <br />67 <br />3792.4 <br />1141.4 <br />74 <br />4317.6 <br />1441.6 <br />81 <br />4593.6 <br />1505.3 <br />10 <br />3804,4 <br />1148.0 <br />10 <br />4330.7 <br />1152.5 <br />10 <br />4908.0 <br />1514.7 <br />20 <br />3816.4 <br />1154.7 <br />20 <br />4343.8 <br />1460.4 <br />20 <br />4022.5 <br />1824.1 <br />30 <br />3528.4 <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 />14764.4 <br />,40 <br />4951.5 <br />1843.1 <br />50 <br />3552.6 <br />1174.8 <br />50 <br />4383.3 <br />1481.4 <br />50 <br />4066.1 <br />1852.6 <br />-68 <br />3864.7 <br />1181.6 <br />75 <br />4390.5 <br />1492.4 <br />82 <br />4980.7 <br />1862.2 <br />10 <br />3576:8 <br />1188.4 <br />104109.5 <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 />1508.0 <br />20 <br />5010.0 <br />1881.5 <br />30 <br />-3901.2 <br />1202.0 <br />30 <br />'443G.4 <br />1516.7 <br />30 <br />5024.8 <br />1891.2 <br />40 <br />3913.4 <br />1208.9 <br />' 40 <br />4440.7 <br />1524.9 <br />40 <br />5039.5 <br />'1900.9 <br />50 <br />3925.0 <br />1215.8 <br />- 50 <br />4463.1 <br />1533.1 <br />50 <br />5054.3 <br />1910.7 <br />G9 <br />3937.9 <br />1222.7 <br />76 <br />4470.5 <br />1541.4 <br />83 <br />50(39.2 <br />19'2'0:5 <br />10 <br />3950.2 <br />1220.7 <br />10 <br />4489.9 <br />1549.7 <br />10 <br />50S•1.0 <br />1930.4 <br />20 <br />3962.5 <br />1236.7 <br />20 <br />4503.4 <br />1558.0 <br />20 <br />50,90.0 <br />19.10.3 <br />30 <br />3974.8 <br />1243.7 <br />30 <br />4316.0 <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 />5125.9 <br />1060.2 <br />50 <br />3999.5 <br />1237.9 <br />50 <br />4544.0 <br />15S3.1 <br />50 <br />5143.9 <br />1070.3 <br />70 - <br />4011.9 <br />1265.0 <br />77 <br />4557.0 <br />1591.6 <br />84 <br />5159.0 <br />1.980.4 <br />10 <br />4034.4 <br />1272.1 <br />10 <br />4571.2 <br />1600.1 <br />10 <br />5174.1 <br />1.990.5 <br />20 <br />4036.8 <br />1279:3 <br />20 <br />4584.8 <br />`1608.G <br />20_ <br />5189-3 <br />2600.6 <br />30 <br />4049:3 <br />12SG.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 />202 1. 1 <br />50 <br />4074.4 <br />1300.9 <br />50 <br />462G.0 <br />1634.4 <br />50 <br />5234.0 <br />2031.4 <br />Corrections to be Added (T = Tangent. E= External.) <br />Curve 5° 10° <br />15° <br />20° <br />1 25' <br />30' 1 <br />35' <br />40° <br />45° 150° <br />1 <br />55° <br />60° <br />t5 <br />70° <br />Angle <br />T=.21 .42 <br />.63 <br />.94 <br />1.05 <br />1.27 <br />1.40 <br />1.71 <br />1.94 <br />2.17 <br />2.38 <br />2.60 <br />2.33 <br />3.07 <br />60 ° <br />E=,056 .112H.273 <br />25 <br />.233 <br />.340 <br />.393 <br />.457 <br />.516 <br />.575 <br />.036 <br />.697 <br />.771 <br />.651 <br />1."°43 .10 <br />1.412 <br />1AS3 <br />1 .88 <br />2.13 <br />1.677 <br />r.345 <br />3.112 <br />3.30 <br />65° <br />F =.067 AM33 <br />554 <br />.625 <br />?711 <br />IOl <br />T=.25 51 <br />O3 <br />129 <br />1.54 <br />LEO <br />2 06 <br />2.33 <br />2.60 <br />2.38 <br />0.16 <br />3.91 <br />3.�0' <br />E =.080 .159'21 <br />.403 <br />485 <br />.568 <br />.652 <br />.735 <br />.819 <br />.906 <br />.994 <br />108 <br />1.17 <br />75° <br />T=27 .50 <br />2 <br />1.40 <br />1.69 <br />1.98' <br />2.27 <br />2.57 <br />2.87 <br />3.16 <br />3.47 <br />3.48 <br />'4.09 <br />E=.09.4 .182.":S3 <br />.578 <br />.678 <br />.777 <br />.S77 <br />.977 <br />1.07 <br />Lis <br />1.39 <br />11.39 <br />.22 <br />_.450 <br />1 <br />1671 .84 <br />2.781 <br />2.16 <br />2.7S <br />3.78 <br />4.12 <br />14.46 <br />=.LO .220145 <br />553 <br />r.903 <br />1.63.15 <br />1.13 <br />1.25 <br />1.38 <br />1.50 <br />16285°T=.33 <br />.66 <br />33 <br />1.03 <br />2.02 <br />2.36 <br />2.70 <br />3.05 <br />3.40 <br />3.77 <br />4.14 <br />4.5E <br />=.128 °59524 <br />.654 <br />.700 <br />.920 <br />1.06 <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />1.46 <br />t.91 <br />