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IV TABLE I..- Tangents and Externals to a 1° Curve. <br />Chord=100 ft. <br />Int. <br />Tangent <br />External <br />Int <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <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 />2631.9 <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 />6277.2 <br />20 <br />3197.8 <br />532.0 <br />30 <br />2344.1 <br />461.0 <br />30 <br />2763.7 <br />631.7 <br />30 <br />3205.8 <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 />542.7 <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 />2SO4.9 <br />649.7 <br />10 <br />3252.7 <br />558.9 <br />20 <br />2392.8 <br />479.G <br />20 <br />2315.2 <br />654.3 <br />20 <br />1.01 <br />864.3 <br />30 <br />2402.6 <br />483.4 <br />30 <br />2825.6 <br />658.8 <br />•30 <br />.3263.7 <br />3274.8 <br />869.8 <br />40 <br />2412.4 <br />487.2 <br />40 <br />2S35.9 <br />663.4 <br />.40 <br />3285.8 <br />875.3 <br />50 <br />2422.3 <br />491.0 <br />50 <br />.2S46.3 <br />668.0 <br />50 <br />3296.9 <br />850.8 <br />46 <br />2432.1 <br />494.8 <br />53 <br />2856.7 <br />672.7 <br />60 <br />3303.0 <br />856.4 <br />10 <br />2441,9 <br />498.7 <br />10 <br />2567.1 <br />677.3 <br />10 <br />3319.1 <br />892.0 <br />20 <br />2451.8 <br />502.5 <br />20 <br />2377.5 <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 />2895.4 <br />691.4 <br />40 <br />3352.6 <br />90S.S <br />50 <br />2431.4 <br />514.3 <br />50 <br />2908.9 <br />696.1 <br />50 <br />3363.8 <br />911.5 <br />47 <br />2491.3 <br />518.2 <br />54 <br />2919.4 <br />700.9 <br />61 <br />3375.0 <br />020.2 <br />10 <br />2501.2 <br />522.2 <br />10 <br />2929.9 <br />705.7 <br />10 <br />3386.3 <br />025.9 <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 />25411,.0 <br />538.2 <br />50 <br />2972.1 <br />725.0 <br />50 <br />3431.4 <br />943.9 <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 />960.5 <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 />�0 <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 />3040.5 <br />759.6 <br />63 <br />35111.1 <br />990.2 <br />10 <br />2621.2 <br />571.1 <br />10 <br />3057.2 <br />764.6 <br />10 <br />3522-.61 <br />996.2 <br />20 <br />2631.3 <br />575.3 <br />20 <br />3007.9 <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 />100S.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 1 <br />5SS.0 <br />50 <br />3100.2 1 <br />784.9 <br />50 1 <br />3568.7 <br />1020.51 <br />Corrections to be Added (T =Tangent. E = External.) <br />InAngle <br />Curve 5° <br />10° 15° 20° <br />25° 30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° 65° <br />70- <br />40* <br />T=.13.25 <br />.40 .53 <br />.67 .80 <br />.93 <br />.106 <br />1.20 <br />1,34 <br />1.49 <br />1.64 1.79 <br />1.94 <br />4099.5 <br />E =.023 <br />.046 070 .093 <br />.117 .14'1 <br />.172 <br />.203 <br />.234 <br />,265 <br />.277 <br />290 .315 <br />.341 <br />45° <br />T=.15 <br />,30 .44 .60 <br />.76 .91 <br />1.05 <br />121 <br />1.37 <br />1.52 <br />1.70 <br />1.87 2.04 <br />2.21 <br />1669.2 <br />E =.030 <br />,060 .093 .119 <br />.153 .184 <br />.216 <br />.254 <br />.2S9 <br />.325 <br />.331 <br />,378 .411445 <br />50 <br />50° <br />1057.7 <br />50 <br />5 1.02 <br />1 6 <br />1 3-6 <br />1 -54 <br />1 .72 <br />1 .91 <br />2 .10 2 <br />2.48 <br />72 <br />B=.037 <br />075 .116 .151 <br />.1 1 89 .227 <br />.26 <br />305 <br />.345 <br />.334 <br />.425 <br />.467 .503 <br />50 <br />55. <br />1'=.19 <br />.38 .57 .7G <br />.9511-14 <br />1.32 <br />11.52 <br />1.72 <br />1.92 <br />2.14 <br />2.35 2.56 <br />2.77 <br />4751.2 <br />E=.046 <br />.093 .142 .188 <br />.236 .283 <br />.332 <br />3.81 <br />,420 <br />.470 <br />.530 <br />.582 .641 <br />. �00 <br />60° <br />T=M <br />.42 .63 84. <br />1.05 1.27 <br />1.49 <br />1.71 <br />1.94 <br />2.17 <br />2.3S <br />2.60 2.53 <br />3.07 <br />1095.7 <br />E=.056 <br />.112 .1633 .225 <br />?83 .340 <br />.398 <br />.457 <br />.516 <br />.575 <br />.636 <br />.697 .774 <br />.851 <br />�° <br />T=23 <br />,46 639 93 <br />1.16 1.40 <br />1.84 <br />1.83 <br />2.13 <br />2.38 <br />2,63 <br />2.B8 3.13 <br />3.39 <br />10 <br />E =,067 <br />,135 204 ,273 <br />343 .412 <br />.483 <br />.554 <br />.625 <br />.097 <br />.711 <br />.S45 .922 <br />1.01 <br />KI <br />TAsln I. - Tangents and Externals to a 1' Curve. V <br />Chord =100 ft. <br />Int. <br />Tan gent <br />g <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />ExternalAngle <br />64° <br />3580.3 <br />102G.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 />16al.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 />4124.3 <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 />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 />4162.8 <br />1352.6 <br />79 <br />4723.2 <br />1695.8 <br />10 <br />3661.9 <br />1070.2 <br />10 <br />4175.0 <br />1360.1 <br />10 <br />4737.2 <br />1704.7 <br />20 <br />3673.7 <br />1076.0 <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 />4 765. 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 />G6 <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 />176S.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 />38G4.7 <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 />1508,0 <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 />2U <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 />451G.9 <br />1566.3 <br />30 <br />5113.9 <br />1950.3 <br />40 <br />3987.2 <br />1250.8 <br />_ <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 />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 />1950.4 , <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 />4036.5 <br />1279.3 <br />20 <br />4584.8 <br />1608.G <br />20 <br />5189.3 <br />2000.6 <br />30 <br />4049.3 <br />1286.5 <br />30 <br />4598.5 <br />4617.1 <br />30 <br />520 t.4 <br />2010.8 <br />404061.8 <br />1203.6 <br />40 <br />4612.2 <br />162:;.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 5234.0 <br />2031.4 <br />Corrections to be Added (T = Tangent. E = External.) <br />Curve 51 10° <br />15° <br />1 20° <br />25° 1 <br />30° <br />35° 1 <br />40° <br />45° <br />50° 1 <br />55° <br />60° 1 65° <br />70° <br />Angle <br />60' T=.21 .42 <br />.03.84 <br />1.05 <br />11:27 <br />1.49 <br />1.71 <br />1.94 <br />2.17 <br />2.38 <br />2.60 2.83 <br />3.07 <br />E=.056 .112 <br />.168 <br />.225 <br />,283 <br />.340 <br />.398 <br />.457 <br />.516 <br />.5751-.636 <br />.G97 ,774 <br />.S51 <br />65° T=.23 ,46 <br />.69 <br />.93 <br />1.16 <br />1.40 <br />1.61 <br />1.89F0.6255 <br />2.38 <br />2.63 <br />2.88 3.13 <br />3.39 <br />E =.067 .135 <br />.204 <br />.273 <br />.343 <br />.412 <br />AS3 <br />.5.1 <br />.697 <br />.711 <br />.845 .922 <br />1.01 <br />T=.25 .51 <br />.i6 <br />1.02 <br />1.'lS <br />154 <br />1.50 <br />2.062.60 <br />2.38 <br />3.16 3.94 <br />3.72 <br />E=.080 .159 <br />.240 <br />.321 <br />.403 <br />AM <br />..558 <br />.65 <br />:819 <br />.906 <br />.99 1.03 <br />1.17 <br />75' T=.27 .56 <br />.83 <br />1.12 <br />1.40 <br />1.69 <br />1.98 <br />2.27 <br />2.57 <br />2.87 <br />3.16 <br />3:47 3.78 <br />4.09 <br />E=.095 .182 <br />.286 <br />.383 <br />.480 <br />.578 <br />.678 <br />.777 <br />".877 <br />.977 <br />1,07 <br />1.18 1.29 <br />1.39 <br />SO' T=.30 .61 <br />.111 <br />1.22 <br />1.53 <br />1.84 <br />2:15 <br />2.46 <br />2.78 <br />110 <br />3.44 <br />3.78 4.13 <br />4.40 <br />E=.110 .220 <br />.332 <br />.4.45 <br />.55S <br />.671 <br />.787 <br />.903 <br />1.02 <br />1.13 <br />1.25 <br />1.39 1.50 <br />1.62 <br />85° T=.33 .66 <br />1.00 <br />1.33 <br />1.63 <br />2.02 <br />2.36 <br />2,70 <br />07 <br />3.40 <br />3.77 <br />9.14 4.55 <br />4.59 <br />E=.123 .259 <br />.391 <br />.524 <br />.657 <br />.790 <br />.926 <br />LOU <br />1.20 <br />1.34 <br />1.e7 <br />1,62 1.76 <br />1.91 <br />