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IV TABLE I. - Tangents and -Externals to a 1° Curve. <br />Chord= 100 ft- <br />InL <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <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 />Y90.1 <br />10' <br />2266.6 <br />'•432.0 <br />10' <br />2681.9 <br />590.6 <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 />120 <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 />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 />51 ' <br />2732.9 <br />618.4 <br />58 '' <br />3176.0 <br />821.4 <br />10 <br />2324.6 <br />453.8 <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 />2804.0 <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 />875.3 <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 />'10 <br />2432.1 <br />494.8 <br />- 53' <br />2856.7 <br />672.7 <br />! CO <br />3308.0 <br />' 886.4 <br />30 <br />2441.9 <br />493.7 <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 />680.7 <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 />50 <br />2481.4 <br />514.3 <br />50 <br />2908.9 <br />696.1 <br />50 <br />3363.8 <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 />2501.2 <br />522.2 <br />10 <br />2929.9 <br />705.7 <br />•10 <br />3356.3 <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 />535.2 <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 />55 <br />2982.7 <br />729.9 <br />62 <br />3442.7 <br />954.8 <br />10 <br />2501.0 <br />546.3 <br />10 <br />2993.3 <br />734.8 <br />10" <br />3454.1 <br />960.0 <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 />1 30 <br />3014.5, <br />744.6 <br />30 <br />3476.8 <br />972.4 <br />40 <br />2691.0 <br />.558.6 <br />40 <br />3025.2. <br />749.6 <br />40 <br />3488.3 <br />975.3 <br />50 <br />2601.1 <br />562.8 <br />50 <br />3035.8 <br />754.6 <br />50 <br />3499.7 <br />934.3 <br />40 <br />2611.2 <br />566.9 <br />56 <br />3016.5 <br />750.6 <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 <br />50 <br />3100.2 <br />784.9 <br />50- <br />3568.7 <br />1030.5 <br />Corrections to be Added (T=Tangent. E=External.) <br />Amite <br />Curve 50 <br />10° <br />15° <br />20° 25° <br />30° 35° <br />40° 45° <br />50° 55° 60° 650 <br />70° <br />40° <br />T=.13 <br />.26 <br />.40. <br />.53 .67 <br />.80 .93 <br />.106 1.20 <br />1.34 1.49 1.64 1.79 <br />1.94 <br />101. <br />E =.023 <br />.040 <br />.670 <br />.093 .117 <br />.141 .172 <br />.203 .234 <br />.265 277 .290 .315 <br />.341 <br />45o <br />T=.1530 <br />1039.0 <br />.44 <br />GO .76 <br />.01 1.06 <br />121 1.37 <br />1.52 1.70 1.87 2.04 <br />2.21 <br />30 <br />E =.030 <br />.060 <br />.093 <br />.119 .153 <br />.184 .21G <br />.254 .289 <br />.325 .351 .378 .411 <br />.445 <br />50° <br />T=17 <br />34 <br />.51 <br />.68 -8T <br />1.02 1.19 <br />1.36 1.54 <br />1.72 1.91 2.10 2.29 <br />2.48 <br />b0 <br />E=.037 <br />.075 <br />.116 <br />.151 .189 <br />.227 .265 <br />.305 .345 <br />.384 425 .467 .508 <br />.550 <br />55° <br />T=,19 <br />.38 <br />.57 <br />.76 .95 <br />1.14 1.32 <br />1.52 1.72 <br />1.92 2.14 2.35 2.56 <br />2.77 <br />10 <br />E=.046 <br />.093 <br />.142 <br />.188 .236 <br />.283 .332 <br />3.81 .4`l0 <br />.479 830 .552 .011 <br />.700 <br />60° <br />T=.21 <br />.42 <br />.63 <br />84 1.05 <br />1.27 1.49 <br />1.71 1.94 <br />2.17 2.38 2.60 2.83 <br />3.07 <br />30 <br />E=.056 <br />.112 <br />.168 <br />.225 .283 <br />.340 .398 <br />.457 .516 <br />.575 .636 .697 .774 <br />.851 <br />650 <br />T=-23 <br />.46 <br />6903 <br />1.16 <br />1.40 1.64 <br />1.88 2.13 <br />2.38 2.63 2.88 3.13 <br />3.39 <br />50 <br />E=.067 <br />.135 <br />204 <br />.273 .343 <br />.412 .433 <br />.554 .625 <br />.697 .711 .845 .922 <br />1.01 <br />1. <br />TABLE L - Tangents and Externals to a, J* Curve. - v <br />Chord =100 ft. <br />Lag, i <br />Angle <br />Tangent' <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />64° <br />3580.3 <br />1026.6 <br />71° <br />4056.9 <br />1305.2 <br />7S° <br />4G39.S <br />1643.0 <br />101. <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 />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 />b0 <br />3638.5 <br />1057.7 <br />50 <br />4150.1 <br />1345.1 <br />50 <br />4709.2 <br />1086.9 <br />05 <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 />1226:5 <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 />13'98.0 <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 />4322.0 <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 />1756.7 <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 />30 <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 />4343.5 <br />1460.4 <br />20 <br />4922.5 <br />1824.1 <br />30 <br />3823.4 <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 />1165.1 <br />40 <br />4370.1 <br />1476.4 <br />4951.5 <br />1343.1 <br />50 <br />3852.0 <br />1174.8 <br />50 <br />4383.3 <br />1434.4 <br />50 <br />4966.1 <br />1852.6 <br />68 <br />3864.7 <br />1181.6 <br />75 <br />4396.5 <br />1.192.4 <br />82 - <br />4980.7 <br />1882.2 <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 />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 />"60 <br />4463.1 <br />1533.1 <br />a0 <br />5054.3 <br />1910.7 <br />69 <br />3937.0 <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 />5054.0 <br />1930.4 <br />20 <br />'3962,5 <br />1230,7 <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 />1930.4 <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 />51S9.3 <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 />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 />Curve 5°' <br />10° <br />15° <br />20° <br />25° <br />'30° 1 <br />35° <br />40° <br />45° <br />SD° <br />551 <br />60° <br />65° <br />70° <br />Angle <br />1.283 <br />1.340 <br />1.398 <br />1.457 <br />1.56 <br />2.575 <br />4.636 <br />2.697 .60 <br />2.774 .83 <br />3,851 <br />80° E=.056 <br />.112 <br />.168 <br />.225 <br />T=.23 <br />.46 <br />.69 <br />.93 <br />1.16 <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 />3.30 <br />65 E=.067 <br />.135 <br />.201 <br />273 <br />.343 <br />.412 <br />.483 <br />.554 <br />.625 <br />.697 <br />.711 <br />.845 <br />.022 <br />1.01 <br />1.321 XOF1.403 <br />1. <br />.80 <br />1.568 <br />06y.735 <br />4.819 <br />3.994 <br />70° E = 080 <br />.159 <br />.240 <br />85 <br />? 652 <br />? 906 <br />1.08 <br />1.17 <br />T=.27 <br />75 <br />.56 <br />.93 <br />1.12 <br />1.40 <br />1.69 <br />1.98 <br />2 7 <br />2.57 <br />2.87 <br />3.16 <br />3.47 <br />3.78 <br />4.09 <br />E =.005 <br />.182 <br />.286 <br />.383 <br />.480 <br />.578' <br />.678 <br />.777 <br />.877 <br />.977 <br />1.07 <br />.18 <br />1-78 <br />1.29 <br />139 <br />1558 <br />1 <br />2.787 <br />2.903 <br />3, <br />C46 <br />80° g� 110 <br />.61 <br />220 <br />.911445 <br />332 <br />.22 <br />871 <br />.15 <br />1.0.46 2 <br />1.13_ <br />1.25 <br />1.38 <br />1.50 <br />1.62 <br />85o T=.33 <br />66 <br />1.00 <br />1.33 <br />1.68 <br />2.02 <br />2.36 <br />2.70 <br />3.05 <br />3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />E =.128 <br />259 <br />.391 <br />.524 <br />.657 <br />.790 <br />.926 <br />1.06 <br />L.20 <br />1.34 <br />1.47 <br />1.62 <br />1.76 <br />1.91 <br />1 <br />