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11 <br />Table V. -Tangents and Externals to a 1° Curve. <br />Central <br />Angle <br />Tangent External <br />trn <br />CenAngleal <br />Tangent <br />External <br />Cetral <br />Angle <br />Tangent <br />External <br />10 <br />50.00 .22 <br />110 <br />551.70 <br />26.50 <br />210 <br />1061.9 <br />97.57 <br />10? <br />58.34 .30 <br />10, <br />560.11 <br />27.31 <br />10' <br />1070.6 <br />99.16 <br />20 <br />66.67 .39 <br />20. <br />566.53 <br />28.14 <br />20 <br />1079.2 <br />• 100.75 <br />30 <br />75.01 .49 <br />.30 <br />576.95 <br />28.97 <br />30 <br />1087.8 <br />102:35 <br />40 <br />83.34 .61 <br />40 <br />585.36 <br />29.82 <br />40 <br />1096.4 <br />103,97 <br />50 <br />91.68 .73 <br />50 <br />593.79 <br />30.68 <br />50 <br />1105.1 <br />105.60 <br />2 <br />100.01 .87 <br />12 <br />602.21 <br />31.56 <br />22 <br />1113.7 <br />107.24 <br />10 <br />108.35 1.02 <br />10 <br />610.64 <br />32.45 <br />10 <br />1122.4 <br />.108.90 <br />20 <br />116.68 1.19 <br />20 <br />,619.07 <br />33.35 <br />20 <br />1131.0 <br />110.57 <br />30 <br />125.02 1.36 <br />30 <br />.627.50 <br />34.26 <br />.30 <br />1139.7 <br />112.25 <br />40 <br />133.36 1.55 <br />40 <br />635.93 <br />35.18 <br />40, <br />1148.4 <br />113.95 <br />50 <br />141.70 1.75 <br />50 <br />644.37 <br />36.12 <br />50 <br />1157.0 <br />115.66 <br />3 <br />150.04 1.96 <br />13 <br />652.81 <br />37.07 <br />23 <br />1165.7 <br />117.38 <br />10 <br />158.38 2.19 <br />10 <br />661:25 <br />38.03 <br />10 <br />1174.4 <br />119.12 <br />20 <br />166.72 2.43 <br />20 <br />669.70 <br />39.01 <br />20 <br />1183.1 <br />120.87 <br />30 <br />175.06 2.67 <br />30 <br />678.15 <br />39.99 <br />30 <br />1191.8 <br />122.63 <br />40 <br />183.40 2.93 <br />40 <br />686.60 <br />40.99 <br />40 <br />1200.5 <br />124.41 <br />50 <br />191.74 3.21 <br />50 <br />695.06 <br />42.00 <br />50 <br />1209.2 <br />126.20 <br />4 <br />200.08 3.49 <br />14 <br />703.51 <br />43.03 <br />24 <br />1217.9 <br />128.00 <br />10 <br />208.43 3.79 <br />10 <br />711.97 <br />44.07 <br />10 <br />1226.6 <br />129.82 <br />20 <br />216.77 4.10 <br />20 <br />720.44 <br />45.12 <br />20 <br />1235.3 <br />131.65 <br />30 <br />225.12 4.42 <br />30 <br />728.90 <br />46.18 <br />30 <br />1244.0 <br />133.50 <br />40 <br />233.47 4.76 <br />40 <br />737.37 <br />47.25 <br />40 <br />1252.8 <br />135.35- <br />50 <br />241.81 5.10 <br />50 <br />745.85 <br />48.34 <br />50 <br />1261.5 <br />137.23 <br />5 <br />250.16 5.46 <br />1.5 <br />754.32 <br />49'.44 <br />25 <br />1270.2 <br />139.11 <br />10 <br />258.51 5.83 <br />10 <br />762.80 <br />50.55 <br />10 <br />1279.0 <br />141.01 <br />20 <br />266.86 6.21 <br />20 <br />771.29 <br />51.68 <br />20 <br />1287.7 <br />142.93 <br />30 <br />275.21 6.61 <br />30 <br />779.77 <br />52.89 <br />30 <br />1296.5 <br />144.85 <br />40 <br />283.57 7.01 <br />40 <br />788.26 <br />53.97 <br />40 <br />1305.3 <br />146.79 - <br />50 <br />291.92 7.43 <br />50 <br />796.75 <br />55.13 <br />50 <br />1314.0 <br />148.75 , <br />6 <br />300.28 7.86 <br />16 <br />805.25 <br />56.31 <br />26 <br />1322,8 <br />150.71 <br />10 <br />308.64 8.31 <br />10 <br />813.75 <br />57.50 <br />10. <br />1331.6 <br />152.69 <br />20 <br />316.99 8.76 <br />20 <br />822.25 <br />58,70 <br />20 <br />1340.4 <br />154,69 <br />30 <br />325.35 9.23 <br />30 <br />830.76. <br />59.91 <br />30 <br />1349.2 <br />156.70 <br />40 <br />333.71 9.71 <br />40 <br />839.27 <br />61.14 <br />40 <br />1358.0 <br />158.72 <br />50 <br />342.08 10.20 <br />50 <br />847.78' <br />62.38 <br />50 <br />1366.8 <br />160.76 <br />7 <br />350.44 10.71 <br />17 <br />856.30 <br />63.63 <br />27 <br />1375.6 <br />162.81 <br />10 <br />358.81 11.22 <br />10 <br />864.82 <br />64.90 <br />10 <br />1384.4 <br />164.86 <br />20 <br />367.17 11.75 <br />20 <br />873.35 <br />66.18 <br />20 <br />1393.2 <br />166.95 <br />30 <br />375.54 12.29 <br />30 <br />881.88 <br />67.47 <br />30 <br />1402.0 <br />169.04 <br />-40 <br />383.91 12.85 <br />40 <br />890.41 <br />68.77 <br />. <br />40 <br />1410.9 <br />171.15 <br />50 <br />392.28 1141 <br />50 <br />898.95 <br />70.09 <br />50 <br />1419.7 <br />173.27 <br />a <br />400.66 13.99 <br />is <br />907.4 <br />71.42 <br />28 <br />1428.6 <br />175.41 <br />10 <br />409.03 14.58 <br />10 <br />916. <br />72.76 <br />10 <br />1437.4 <br />177.55 <br />20 <br />417.41 15.18 <br />20 <br />924.58; <br />74.12 <br />20 <br />1446.3 <br />179.72 <br />30 <br />425.79 15.80 <br />30 <br />933.13 <br />75.49 <br />30 <br />1455.1 <br />181.89 <br />40 <br />_ <br />434.17 16.43 <br />40 <br />941.69 <br />76.86 <br />40 <br />1464.0 <br />184.08 <br />50 <br />442.55 17.07 <br />50 <br />950.25 <br />78.26 <br />50 <br />1472.9 <br />166.29 <br />9 <br />450.93 17.72 <br />19 <br />958:81 <br />79.67 <br />29 <br />1481.8 <br />188.51 <br />10 <br />459.32 18.38 <br />10 <br />967.38, <br />81.09 - <br />10 <br />1490.7 <br />190.74 <br />20 <br />467.71 19.06 <br />20 <br />975.96 <br />82.53 <br />20 <br />1499.6 <br />192.99 <br />30 <br />476.10 19.75 <br />30 <br />984.53 <br />83.97 <br />30 <br />1508.5 <br />195.25 <br />40 <br />484.49 20.45 <br />40 . <br />993.12 <br />85.43 <br />40 <br />1517.4 <br />197.53 <br />50 <br />492,88 21.16 <br />50 <br />1001.7 <br />86.90 <br />50 <br />1526.3 <br />199.82 <br />10 <br />501.28 21.89 <br />20 <br />1010.3 <br />88.39 <br />30 <br />1535.3 <br />202.12 <br />10 <br />509.68 22.62 <br />'10 <br />1018.9 <br />89.89 <br />10 <br />1544.2 <br />204.44' <br />20 <br />518.08 23.38 <br />20 <br />1027.5 <br />91.40 <br />20 <br />1553.1 <br />206.77 <br />30 <br />526.48 24.14 <br />30 <br />1036.1. <br />92.92 <br />30 <br />1562.1 <br />209.12 <br />'40 <br />534.89 24.91 <br />40 <br />1044.7 <br />94.46 <br />40 <br />1571.9 <br />211.48 <br />50 <br />543.29 25.70 <br />50 <br />1053.3 <br />96.01 <br />50• <br />1580.0 <br />213.86 <br />364.5 <br />1 <br />0 <br />Table V. -Tangents and Externals to a 1° Curve. <br />Cen tral <br />Angle <br />Tangent <br />External <br />Central <br />Angle <br />Tangent <br />External <br />Central <br />Angle <br />Tangent <br />External <br />31° <br />1589.0 <br />216.3 <br />410 <br />2142.2 <br />387.4 <br />51° <br />2732.9 <br />618.4 <br />10' <br />'1598.0 <br />218.7 <br />101 <br />2151.7 <br />390.7 <br />10 <br />2743.1 <br />622.8 <br />20 <br />1606.9 <br />221.1 <br />20 <br />2161.2 <br />394.1 <br />20 <br />2753.4 <br />•627.2 <br />30 <br />1615.9 <br />223.5 <br />30 <br />2170.8 <br />397.4 <br />30 <br />2763.7 <br />631.7 <br />40 <br />1624.9 <br />226.0 <br />40 <br />2180.3 <br />400.8 <br />40 <br />2773.9 <br />636.2 <br />50 <br />1633.9 <br />228.4 <br />50 <br />2189.9 <br />404.2 <br />50 <br />2784.2 <br />640.7 <br />32 <br />1643.0 <br />230.9 <br />42 <br />2199.4 <br />407.6 <br />52 <br />2794.5 <br />645.2 <br />10 <br />1652.0 <br />233.4 <br />10 <br />2209.0 <br />411.1 <br />10 <br />2804.9 <br />649.7 <br />20 <br />1661.0 ' <br />235.9 <br />20 <br />2218.6 <br />414.5 <br />20 <br />2815.2 <br />654.3 <br />30 <br />1670.0 <br />238.4 <br />30 <br />2228.1 <br />418.0 <br />30 <br />2825.6 <br />658.8 <br />40 <br />1679.1 <br />241.0 <br />40 <br />2237.7 <br />'421.4 <br />40 <br />2835.9 <br />663.4 <br />50 i <br />1688.1 <br />243.5 <br />30 <br />2247.3 <br />425.0 <br />50 <br />2846.3 <br />668.0 <br />33 <br />1697.2 <br />246.1 <br />43 <br />2257.0 <br />428.5 <br />53 <br />2856.7 <br />672.7 <br />10 <br />1706.3 <br />248.7 <br />10 <br />2266.6 <br />432.0 <br />10 <br />2867.1 <br />677.3 <br />20 <br />1715.3 <br />251.3 <br />20 <br />2276.2 <br />435.6 <br />20 <br />2877.5 <br />682.0 <br />30 <br />1724.4 <br />253.9 <br />30 <br />2285.9 <br />439.2 <br />30 <br />2888.0 <br />686.7 <br />40 <br />1733.5 <br />256.5 <br />40 <br />2295.6 <br />442.8 <br />40 <br />2898.4 <br />691.4 <br />50 <br />1742.6 <br />259.1 <br />50 <br />2305.2 <br />446.4 <br />50 <br />2908.9 <br />696.1 <br />34 <br />1751.7 <br />261.8 <br />44 <br />8314.9 <br />450.0 <br />54 <br />2919.4 <br />700.9 <br />10 <br />1760.8 <br />264.5 <br />10 <br />2324.6 <br />453.6 <br />10 <br />2929.9 <br />705.7 <br />20 <br />1770.0 <br />267.2 <br />20 <br />2334.3 <br />457.3 <br />20 <br />2940.4 <br />710.5 <br />30 <br />1779.1 <br />269.9 <br />30 <br />2344.1 <br />461.0 <br />30 <br />2951.0 <br />715.3 <br />40 <br />1788.2 <br />272.6 <br />40 <br />2353.8 <br />464.6 <br />40 <br />2961.5 <br />720.1 <br />50 <br />1797.4 <br />275.3 <br />50 <br />2363.5 <br />468.4 <br />50 <br />2972.1 <br />725.0 <br />35 <br />1806.6 <br />278.1 <br />45 <br />2373.3 <br />472.1 <br />55 <br />2982.7 <br />729.9 <br />10 <br />1815.7 <br />280.8 <br />10 <br />2383.1 <br />475.8 <br />I0 <br />2993.3 <br />734.8 <br />20 <br />1824'9 <br />283.6 <br />20 <br />2392.8 <br />479.6 <br />20 <br />3003.9 <br />739.7 <br />30 <br />1834:1 <br />286.4 <br />30 <br />2402.6 <br />483.8 <br />30 <br />3014.5 <br />744.6 <br />40 <br />1843.3 <br />289.2 <br />40 <br />2412.4 <br />487.2 <br />40 <br />3025.2 <br />749.6 <br />50 <br />1852.5 <br />292.0 <br />50 <br />2422.3 <br />491.0 <br />50 <br />3035.8 <br />754.6 <br />36 <br />1861.7 <br />294.9 <br />46 <br />2432.1 <br />494.8 <br />56 <br />3046.5 <br />759.6 <br />10 <br />1870.9 <br />297.7 <br />10 <br />2441.9 <br />498.7 <br />10 <br />3057.2 <br />764.6 <br />20 <br />1880.1 <br />300.6 <br />20 <br />2451.8 <br />502.5 <br />20 <br />3067.9 <br />769.7 <br />30 <br />1889.4 <br />303.5 <br />30 <br />2461.7 <br />506.4 <br />30 <br />3078.7 <br />774.7 <br />'40 <br />+1898.6 <br />306.4 <br />40 <br />2471.5 <br />510.3 <br />40 <br />3089.4 <br />779.8 <br />50 <br />'1907.9 <br />309.3 <br />50 <br />2481.4 <br />514.3 <br />50 <br />3100.2 <br />784.9 <br />37' <br />1917.1 <br />312.2 <br />47 <br />2491.3 <br />518.2 <br />57 <br />3110.9 <br />790.1 <br />10 <br />1926.4 <br />315.2 <br />10 <br />2501.2 <br />522.2 <br />10 <br />3121.7 <br />795.2 <br />20 <br />1935.7 <br />318.1 <br />20 <br />2511.2 <br />526.1 <br />20 <br />3132.6 <br />800.4 <br />30 <br />1945.0 <br />321.1 <br />30 <br />2521.1 <br />530.1 <br />30 <br />3143.4 <br />805.6 <br />40 <br />1954.3 <br />324.1 <br />40 <br />2531.1 <br />534.2 <br />40 <br />3154.2 <br />810.9 <br />50 <br />1963.6 <br />327.1 <br />50 <br />2541.0 <br />538.2 <br />50 <br />3165.1 <br />816.1 <br />38- <br />1972.9 <br />330.2 <br />48 <br />2551.0 <br />542.2 <br />58 <br />3176.0 <br />821.4 <br />10 <br />1982.2 <br />333.2 <br />10 <br />2561.0 <br />546.3 <br />10 <br />3186.9 <br />826.7 <br />20 <br />1991.5 <br />336.3 <br />20 <br />2571.0 <br />550.4 <br />20 <br />3197.8 <br />832.0 <br />30, <br />2000.9 <br />339.3 <br />30 <br />2581.0 <br />554.5 <br />30 <br />3208.8 <br />837.3 <br />40 <br />2010.2 <br />342.4 <br />40 <br />2591.0 <br />558.6 <br />40 <br />3219.7 <br />842.7 <br />50 <br />2019.6 <br />345.5 <br />50 <br />2601.1 <br />562.8 <br />50 <br />3230.7 <br />848.1 <br />39 - <br />2029.0 <br />348-6 <br />49 <br />2611.2 <br />566.9 <br />59 <br />3241.7 <br />853.5 <br />10 <br />2038.4 <br />351.8 <br />10 <br />2621_2 <br />571.1 <br />10 <br />3252.7 <br />858.9 <br />20 <br />2047.8 <br />354.9 <br />20 <br />2631.3 <br />575.3 <br />20 <br />3263.7 <br />864.3 <br />30 <br />2057.2 <br />358.1 <br />30 <br />2641.4 <br />579.5 <br />30 <br />3274.8 <br />869.8 <br />40 <br />2066.6 <br />361.3 <br />40 <br />2651.5 <br />583.8 <br />40 <br />3285.8 <br />875.3 <br />50 <br />2076.0 <br />364.5 <br />50 <br />2661.6 <br />588.0 <br />50 <br />3296.9 <br />880.8 <br />40 <br />2085.4 <br />367.7 <br />50 <br />2671.8 <br />592.3 <br />60 <br />3308.0 <br />886.4 <br />10 <br />2094.9 <br />371,0 <br />10 <br />2681.9 <br />596.6 <br />10 <br />3319.1 <br />892.0 <br />20 <br />2104.3 <br />374.2 <br />20 <br />2692.1 <br />600.9 <br />20 <br />3330.3 <br />897.5 <br />30 <br />2113.8 <br />377.5 <br />30 <br />2702.3 <br />605.3 <br />30 <br />3341:4 <br />903.2 <br />40 <br />2123.3 <br />380.8 <br />40 <br />2712.5 <br />609.5 <br />40: <br />3352.6 <br />908.8 <br />50 <br />2132.7 <br />384.1 <br />50 <br />2722.7 <br />614.0 <br />50 <br />3363.8 <br />914.5 <br />5 ` <br />