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TABLE I: = Tangents and Externals to a 1° Curve. <br />Chord.=100 ft. <br />Ink <br />• Angle <br />Tangent <br />External <br />Int' <br />•Angle <br />Tangent External <br />g <br />Int. <br />Angle <br />Tangent <br />g <br />External <br />, <br />48° <br />2257.0 <br />428:5 <br />b0°.. <br />2G71.8 <br />592.3. <br />57°-, <br />3110.9 <br />790.1 <br />,l0' <br />2266.6 <br />.432.0 <br />101 <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 />2295.8 <br />442:8 <br />40 <br />2712.51 <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 />621.4 <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 />464.0 <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 />G45.2 <br />59 <br />3241.7 <br />853.5 <br />10 <br />2363.1 <br />475.8 <br />.10 <br />2804.9 . <br />G49.7 <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 />:183.4 <br />30 <br />2825.6 <br />658.8 <br />30 <br />3274.8 <br />SO.8 <br />40 <br />2412:4 <br />487.2. <br />40 <br />2835.9 <br />663.4 <br />40. <br />3285.8, <br />875.6 <br />50 <br />2422.3 <br />491.0 <br />50 <br />2846.3 <br />668.0 <br />56 <br />3290.9 <br />880.8 <br />46. <br />2432.1 <br />494.8 ..,53 <br />i <br />2850.7 <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 />.412 <br />3319.1 <br />892.0 <br />20 <br />2451.8 <br />502.5 <br />20 <br />2877.5 <br />682.0 <br />•10. <br />20 <br />3330.3 <br />897.5 <br />30 <br />2461.7 <br />50G.430 <br />1161.3 <br />2888.0 <br />680.7 . <br />30 <br />3341.4 <br />1903.2 <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 />33631.8 <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 />.10 <br />2301.2 <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 1 <br />20 <br />2940.4. <br />710.5 <br />20 <br />3397.5 <br />931 G <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 />90 <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,:n <br />2551.0 <br />542:2 <br />55.. <br />2982.7. <br />729.9. <br />62 <br />3442.7 <br />054.8 <br />10 <br />2561.0 <br />546.3 <br />10 <br />2993:3 <br />734.8 <br />1Q <br />3454.1 <br />060.6 <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 />558.0 <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.S <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 />7G4.6 <br />10 <br />3522.6 <br />996.2 <br />20 <br />2631.3 <br />575.3 : <br />20 <br />3067.9 <br />169.7 <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 />754.0 <br />50 <br />35GS.7 <br />1020.5 <br />Corrections to be Added (T = Tangent.. E = External.) ` <br />A t. <br />:Curve 51 <br />'10° <br />15° <br />20°• <br />25° <br />'30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />'70° <br />40° <br />''•T=.13 <br />;26 <br />.40 <br />.53 <br />.67 <br />.80 <br />.93 <br />.106 <br />1.20 <br />1.34 <br />1.49 <br />1:64 <br />1.79 <br />1.94 <br />20 <br />E=.023 <br />.046 <br />.070 <br />.093 <br />.117 <br />•.141 <br />.172 <br />.203 <br />.234 <br />.205 <br />.277 <br />°90 <br />.315 <br />.341 <br />4' <br />•T=.15 <br />30 <br />.44 <br />.60 <br />.76. <br />-.153 <br />.91 <br />1:06 <br />1.21 <br />1:37 <br />1.52 <br />1.70 <br />1.87 <br />2.04 <br />2.21 <br />_ <br />E=;030 <br />...060 <br />.093 <br />.119 <br />1063.9 <br />.184 <br />.216 <br />.254 <br />.289 <br />.325 <br />'.351 <br />•.378 <br />-'.411 <br />.445 <br />10 <br />T=.17. <br />.34 <br />.51 <br />• .68 <br />.85 <br />1.02 <br />1.19 <br />1.36 <br />1.54 <br />1.72 <br />1.91 <br />2.10' <br />2.29 <br />2.48 <br />30 <br />E =.037 <br />.075 <br />.116 <br />.151 <br />.189 <br />.227 <br />.266 <br />.305 <br />.345 <br />.3841'-.425, <br />1089.3 <br />.407 <br />.508 <br />.550 <br />Sto . <br />T=.19 <br />.38 <br />..57 <br />.76 <br />05 <br />1.14 <br />1.32 <br />1.52 <br />1.72 <br />.1.92 <br />2.14 <br />2.35 <br />2.56 <br />2.77 <br />73 '.: <br />-.'E-040 <br />.093 <br />'.142 <br />.188 <br />'.236 <br />.283 <br />.332 <br />3.81 <br />.420 <br />.479 <br />.530 <br />'.582 <br />.641 <br />.700 <br />60- <br />' T=.21 <br />.42 <br />.63 <br />.84 <br />1.05 <br />1.27 <br />1.49 <br />1.71 <br />1.94 <br />2.17 <br />2.33, 2.60 <br />2.83 <br />3.07 <br />1421.2 <br />.'E=.056 <br />.112 <br />.168 <br />:.225 <br />.283 <br />'.340 <br />.398 <br />.457 <br />.516 <br />.575 <br />.636 <br />'.697 <br />.774 <br />.851 <br />690 <br />T-.23 <br />.46.119 <br />1436.8 <br />:93' <br />1.18 <br />1.40 <br />1.64 <br />1.88 <br />2:13 <br />2.38 <br />2.63 <br />2.88 <br />3:13 <br />3.39 <br />1805.3 <br />E-.067 , <br />.135 <br />.204 <br />•273 <br />.343 <br />.412 <br />.483 .554 <br />.625 <br />.697 <br />.711 <br />.845 .922 <br />1.01 <br />�icr -- r:-aoa mix= sr•'�4'" 4� i 1zF.CI«:,�. = W,III5 ,*44-F�.i <br />TABLE L-- Tangents und'Externals to a 1° Curve. `V <br />Chord =100. f t. r <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />•Angle <br />Tangent <br />LxternaI <br />Int. <br />Angle • <br />Tangent <br />. <br />External <br />64° <br />35SO.3 <br />1026:6 <br />71° <br />4056.9 <br />1308.2 <br />780 <br />'4639.8 <br />1G43.0 <br />10' <br />3591.9 <br />1032.8 <br />10' <br />4099.5 <br />1315.6 <br />10' <br />4053.'6 <br />1051.7 <br />20 <br />3603.5 <br />1039.0 <br />20 <br />4112.1 <br />1322.9 <br />20 .:4GG7.4 <br />69 .93 1.16' 1.40 <br />1660.5 <br />30 <br />36)15.1 <br />1045.2 <br />30 <br />4124.8 <br />1330.3 <br />30 <br />AGS1.3 <br />1069.2 <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 />4150.4 <br />1345.1 <br />50 <br />4709.2 <br />1686.0 <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 />3GG1.9 <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 />1188.5 <br />1367.6 <br />20 <br />-4751.2 <br />1713.7 <br />30 <br />3685.4 <br />1082.9 <br />30. <br />4'30l.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 />422G.8 <br />1390.4 <br />50, <br />4793.6 <br />1740.8 <br />86- <br />3720.9 <br />1102.2 <br />73 '.: <br />'4239.7 <br />1398.0 <br />80.: <br />4807.7 <br />1749.0 <br />10 <br />8732.7 <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 />14 13. 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 />4304.6 <br />1436.8 <br />150 <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 />3SO4.4 <br />1148.0 <br />10 <br />4330.7 <br />1452.5 <br />10 <br />.4908.0 <br />1814.7 <br />20 <br />3S1G.4 <br />1154.7 <br />20 <br />4343.8 <br />1460.4 <br />20 <br />'4922.5 <br />1824.1 <br />30 <br />3S2S:4 <br />1161.3 <br />30. <br />4356.9 <br />1465.4 <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 />3364.7 <br />1181.6 <br />75 <br />4396.5 <br />1492A <br />82 -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 />4.123.1 <br />1508.G <br />-20 <br />5010.0 <br />1881.5 <br />30 <br />3901.2 <br />1202.0 <br />1 30 <br />4136.4 <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 />1900.0 <br />50 <br />3925.6 <br />1215.8 <br />50 <br />4463.1 <br />1533.1 <br />150 •.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 />4514.0 <br />15S3.1 <br />50 ;•5143.9 <br />1970.3 <br />70 <br />4011.9 <br />1265.0 <br />77 <br />4557.6 <br />1591:6 <br />84 1 <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 />2U <br />'4584.8 <br />1008.61 <br />20 <br />5189.3 <br />2000.6 <br />30 <br />4019.3 <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 />'4012.2 <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 />1 5234.9 <br />2031.4 <br />Corrections to be Added (T =Tangent.. E=External.) <br />Int <br />Curve 5° <br />10° <br />IS- 20° 25° 30° <br />35° <br />400 <br />45° 50° <br />55° 60° 65° 70° <br />Angle <br />..._._. <br />1.340 .27 <br />1457 <br />.17 <br />1.516 2.575 <br />.83 07 <br />38 602.774 3851 <br />? <br />E=.056. <br />.112 ...71 <br />168 .225 1.283 <br />1.398 <br />? 636 697 <br />T=.23 <br />•:48 <br />69 .93 1.16' 1.40 <br />1.64' <br />1.88 <br />2.13 2.38 <br />2.63 2.88 8.13 3.39 <br />65° <br />E=.067 <br />.135 <br />.204 .213 .343 .412 <br />.483 <br />.554 <br />.625 .697 <br />.711 .845 .922 1.01 <br />'T=.25 <br />76 1.02 1.28 1.54 <br />1.80 <br />2.06 <br />2.33 2.60' <br />2.88 3.18 3.44 3.72 <br />700 <br />E=.080 <br />.51 . <br />.159 <br />.240 .321 ..403 .485 <br />.568 <br />.652 <br />-.735 .819 <br />..908 .994 1.08 1.17 <br />1.12 1.40 1.69 <br />4.98 <br />2.27 <br />2.57 2.87. <br />3.16 3.47 3.78 9.09 <br />70T-.27 <br />E =.095 <br />.66 <br />.182 <br />.83 <br />.286 .383 .480 .578 <br />.678 <br />'.777 <br />.877 _.977 <br />1.07 1.18 1.29 12 9 <br />T=.30 <br />91 1.22 1.53 1.84 <br />2.15 <br />2.46' <br />2.78 3.10 <br />3.44 3.78 4.12 4.46 <br />80° <br />E =.110 <br />.61 <br />.220 <br />.332 '.445 .558 .671 <br />.787 <br />':903 <br />1.02 1.13 <br />1.25 1.50 1.62 <br />850 <br />T-.33 <br />66 <br />1.00 1.33 1.68. 2.02 ' <br />2.36 2.70 <br />3.05 3.40. <br />41.38 <br />3.77 .14 4.55 4.80 <br />E =.128 <br />.25.9 <br />.391 .524 .657 .7901%.92G <br />106 <br />1.20 1.34 <br />1.47 1.62 1.76 1.91 <br />=1 <br />