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IV TABLE 1. Tangents and Externals to a 1' Curve.. <br />Chord =100 it. <br />Angle <br />Tangent <br />External <br />Angle <br />"Tangent External <br />Angle <br />Tangent <br />External <br />43° <br />2257.0 <br />428.5 <br />501 <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 />312L.7 <br />795.2 <br />20 <br />2276.2 <br />435.6 <br />20 <br />2092.1 <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 />68 <br />3176.0 <br />821.4 <br />10 <br />2324.6 <br />453.6' <br />10 <br />2743.1 <br />672.8 <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.:1 <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 />2303.5 <br />408.4 <br />50 <br />2784.2 <br />640.7 <br />50 <br />3230.7 <br />848.1 <br />68 <br />2373.3 <br />472.1 <br />62 <br />2794.5 <br />645.2 <br />59 ' <br />3241.7 <br />653.5 <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 />65S.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 />875.11 <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 />40 <br />2432.1 <br />494.8 <br />53 - <br />2856.7 <br />072.7 <br />60 <br />3308.0 <br />SS6,4 <br />10 <br />2441.9 <br />498.7 <br />10 <br />2867.1 <br />677.3 <br />10 <br />.3319.1 <br />802.0 <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 />086.7 <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 />905.8 <br />60 <br />2481.4 <br />514.3 <br />50 <br />2908.9 <br />690.1 <br />50 <br />3363.8 <br />914.5 <br />1852.6 <br />68 <br />3SG4.7 <br />1181.6 <br />75 <br />4396.5 <br />1402.4 <br />82, <br />4980.7 <br />67 <br />2491.3 <br />518.2 <br />64'- <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 />2311.2 <br />520.1 <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 />842.2 <br />55 <br />2982.7 <br />729.0 <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 />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 />•066'5 <br />30 <br />2581.0 <br />5"54.5 <br />30 <br />301.4.5 <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 />2001.1 <br />56218 <br />50 <br />3035.8 <br />754.6 <br />50 <br />3499.7 <br />984.3 <br />48, <br />2G11.2 <br />566.9 <br />56 <br />3046.5 <br />759.6 <br />63 <br />3511.1 <br />990.2 <br />10 <br />2521.2 <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 />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 />3545.0' <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 />784.0 <br />50 <br />3563:7 <br />1020.5 <br />Corrections to be Added (T=Tangent. E=External.) <br />Igi <br />Aagle <br />terve 5° 10° <br />° <br />15° 20, <br />25° <br />:30° <br />35° 40° 45° 50° 55° '60° 65° 70° <br />40° <br />T=.13 .28 <br />.40 .53 <br />.67 <br />.80 <br />.93 .105 1.20 1.34 1.49 1.64 1.79 1.94 <br />71° <br />E =.D23 0441 <br />.010 .093 <br />.117 <br />.141 <br />.172 .203 .234 .263 .277 .390 .315 .341 <br />45° <br />T =,15 .30 <br />.44 .60 <br />.70 <br />.91 <br />1.06 L21 1.37 1.52 1.70 1.67 2.04 2.21 <br />10' <br />E=.030 .060 <br />.093 .119 <br />.153 <br />.134 <br />.216 .254 ,289 '.325 .351 .379 .411 .445 <br />50° <br />T=.17 .34 <br />.51 .68 <br />.85 <br />1.02 <br />1.19 1.36 1.54 1.72 1.91 2.10 2.29 2.48 <br />30 <br />E =.037 '.075 <br />�T=.19 <br />.116 .151 <br />.189 <br />.227 <br />.266 .305 .345 .384 .425 .467..508 .550 <br />55° <br />43 <br />.57 - .76 <br />.95 <br />1'.14 <br />1.32 1.52 1.72 1.92 2.14 2.35 2.56 2.77 <br />40 <br />-E=.046 .093 <br />.112 .188 <br />.230 <br />.283 <br />.332 3.91 .420 .479 .530 .582 .641 .700 <br />50 <br />21 .42 <br />.63 .84 <br />1.05 <br />4150-1 <br />1.7 1.94 2.17 2.39 2.60 2.83 3.07 <br />50 <br />=.058 .112 <br />.168 .225 <br />.2H3 <br />3650.2 <br />.3981 .457 .518 .575 .638 .697 '.774 .851 <br />72 <br />_) <br />T=.23' .46 <br />.69 .93 <br />1.16 <br />do1.49 <br />1.041.882.13 2.38 2.632.88 3.13 3.34 <br />10 <br />E.067 .135 <br />.204 .273 <br />.343 <br />4175.41 <br />.483 .554 .625 .0D7 .i1 .945 .922 1.01 <br />TABLE 1.• -.Tangents and Externals to a 17Curve. - V <br />Chord =100 ft. , <br />Inc. <br />Angle <br />Tangent <br />Externa] <br />Iot. <br />.Angle <br />Tangent <br />ExternaS. <br />/ Int. <br />Angle <br />Tangent <br />External <br />64° <br />3580.3 <br />1026.6 <br />71° <br />40S6.9 <br />r <br />1308.2 <br />78° <br />4639.8 <br />1643.0 <br />10' <br />3591.0 <br />1032,8 <br />10' <br />4099.5 <br />1315.6 <br />10' <br />4053.6 <br />1651.7 <br />20 <br />3603.5 <br />1039.0 <br />..20 <br />4112.1 <br />1322.0 <br />20 <br />4607.4 <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 />1GG9.2 <br />. <br />40 <br />3625.8 <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 />1686.9 <br />65 <br />3650.2 <br />1063.9 <br />72 <br />4162.78 <br />1352.6 <br />79 <br />4723.2 <br />1605.8 <br />10 <br />3661.9 <br />1070.2 <br />10 <br />4175.41 <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.G <br />20 <br />4751.2 <br />1713.7 <br />30 <br />3685.4 <br />1082.9 <br />_' 30 <br />4301.2 <br />1375.2 <br />30 <br />4765.3 <br />1722.7 <br />40 <br />3697.2 <br />1089,3= <br />40 <br />414.0 <br />1382.8 <br />40 <br />4779.4 <br />1731.7 <br />50 <br />3709.0 <br />1095.7 <br />50 <br />4226.9 <br />1390.4 <br />50 <br />4793.6 <br />1740.8 <br />6g <br />3720.9 <br />1102.2 <br />73 <br />4239.7 <br />1398.0 <br />80 <br />4807.7 <br />1749.9 <br />r,p 10 <br />3732.7 <br />1108.6 <br />_ 10 <br />4252.6 <br />1405.7 <br />10 <br />4822,0- <br />1759,0 <br />3744.6 <br />1115.1 <br />20' <br />'4265.6 <br />1413.5 <br />204936A <br />1768.2 . <br />,20 <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 />37G8.5 <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 />1436.5 <br />50 <br />4879.2 <br />1798.0 <br />67 <br />3792.4 <br />1141.4 <br />74 <br />431.7.6 <br />1444.6 <br />81 <br />4893.0 <br />1805.3 <br />10 <br />3301.4 <br />1148.0 <br />10 <br />4330.7 <br />1452.5 <br />.10 <br />4908.0 <br />1814.7 <br />20 <br />3S16.4 <br />1154.7 <br />'20 <br />•1343.8 <br />1460.4 <br />20 <br />4922.5 <br />'1824.1 <br />30 <br />3828.4 <br />1101.3 <br />30 <br />-1355.9 <br />1468.4 <br />30 <br />4937.0 <br />1833.6 <br />40 <br />3840.5 <br />1108.1 <br />40 <br />4370.1 <br />147G.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 />3SG4.7 <br />1181.6 <br />75 <br />4396.5 <br />1402.4 <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 />20 <br />5010.0 <br />1381.5 <br />30 <br />3901.2 <br />1202.0 <br />. 30 <br />4136.4 <br />1516.7 <br />30 <br />5024.8 <br />1891.2 <br />40 <br />3013.4 <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 />3937.0 <br />12227 <br />76 <br />4.176.5. <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 />5064.0 <br />1930.4 <br />20 <br />3962.5 <br />1236.7 <br />20 <br />4:;03.4 <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 />40 <br />43.10.4 <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 />1591.0 <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 />2000.6 <br />30 <br />4049.3 <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 />1 <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 />1534.4 <br />.50 <br />5234.9 <br />2031.4 <br />Corrections to be Added (T=Tangent. E=External.) <br />Int <br />Curve 5° <br />IOP <br />15° 20° <br />25° 30° <br />1 35° 1 <br />40° <br />1 45° 50° <br />55° 601 65' 70° <br />Angle <br />T =.21 <br />42 <br />.83 .64 <br />1.05 1.27 <br />1.49 <br />1.71 <br />1.94 2.77 <br />2.38 2.60 2.83 3.07 <br />6, <br />E =.056 <br />.112 <br />.168 .225 <br />.283 .340 <br />.398 <br />.457 <br />•516 .575 <br />.636 .697 .774 .851 <br />T=.23 <br />.46 <br />.69 ,93 <br />1.10 1.40 <br />1.64 <br />1.88 <br />2.13 2.38 <br />2.63 2.88 3.13 3.39 <br />65° <br />E =.067 <br />.135 <br />.204 .273 <br />.343 .412 <br />.483 <br />.554 <br />.625 .697 <br />.711 .845 .022 1.01 <br />T=.25 <br />1.02 <br />1.2B 1.54 <br />1.80 <br />2.06 <br />2.33 2.60 <br />2.88 3.10 3.44 3.72 <br />70° <br />E =.080 <br />.51 <br />.159 <br />.76 <br />.240 .321 <br />A03 .485 <br />.568 <br />.652 <br />.735 .819 <br />.906 .994 1.08 1.17 <br />T=.27 <br />.56 <br />.83 1.1.2 <br />1.40 1.69 <br />1.98 <br />2.27 <br />2.57 2.87 <br />3.16 3.47 3.78 4.09 <br />75° <br />E=.095 <br />.182 <br />.285 .383 <br />.480 .5781 <br />.678 <br />.777 <br />.877 .977 <br />1.07 1.18 1.29 1.39 <br />T=,30 <br />Al 1.22 <br />1.53 1.84 <br />2.15 <br />2.45 <br />2.78 3.10 <br />3.44 3.78 4.12 4.46 <br />90° <br />E=.110 <br />.61 <br />:220 <br />.332 .445 <br />.558 .671 <br />.787 <br />.903 <br />1.02 1.13 <br />1.25 1.38 1.50 1.62 <br />T=.33 <br />66 <br />1,00 3.33 <br />1.68 2.02 <br />2.36 <br />2.70 <br />3.05 3.40 <br />3.77 4.14 4.55 4.89 <br />85° <br />E =.128 <br />.259 <br />.391 .524 <br />.657 .790 <br />.926 <br />1.08 <br />1.20 1.34 <br />1.47 1.62 1.76 1.91 <br />