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II TABLE I.- Tangents and Externals to a 1° Curve. <br />Chord =100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle , <br />Tangent <br />External' <br />Int. " <br />� Angle <br />Tangent <br />External <br />1° <br />50.00 <br />.22 <br />89. <br />400.6G. <br />13.99 <br />: 16° . <br />754.32 <br />49.44 <br />10' <br />58.34.30 <br />.21 <br />10' <br />409.03 <br />14.58 <br />10' <br />762.80 <br />50.55.. <br />20 <br />'66.67 <br />.39 <br />20, <br />"417.41 <br />15:18• <br />20. <br />'771.29 <br />51.68 <br />30 <br />. 75.01 <br />.40 <br />30- <br />425.70 <br />15.80 <br />30• <br />779.77 <br />52.82 <br />40 <br />63.34 <br />61 <br />40 <br />434.17 <br />16.43 <br />40 <br />788.26 <br />53.97 <br />-•.50" <br />91.68 <br />73 <br />"- <br />442.55 <br />17.07" <br />-50 <br />796.75 <br />55.13 <br />.58 <br />.63 <br />.68 <br />-50 <br />.007 .010 .014 <br />.018 <br />.023 .027 <br />.029 <br />.032 <br />2 - <br />100.01 <br />.87 <br />9, r <br />450.93 <br />- 17.72 <br />16 <br />805.25 <br />56.31 <br />10 <br />108.35 <br />1.02, <br />10 <br />459.32 <br />.1S.3S <br />10 <br />813.75 <br />57.50 <br />20' <br />116:68 <br />1.19 <br />20 <br />467.71 <br />19. GG <br />20 <br />822.25 <br />53.70 <br />30 <br />125.02 <br />1.36 <br />30 <br />476:10 <br />' 19.75 <br />30 <br />830.76 <br />59.91 <br />40 <br />133.36 <br />1.55 <br />'.40 • <br />484.49 <br />20.45 <br />40 <br />830.27 <br />61.14 <br />50 <br />141.70: <br />1.75 <br />50 <br />492.88 <br />21:16 <br />50 <br />847.78 <br />62.38 <br />3 ' <br />150.04 <br />'1.96 <br />10 <br />501-.28' <br />21.89 <br />' 17 <br />.85G.30 <br />63.63 <br />10 <br />158AS <br />2.19 <br />10 <br />509.68 <br />22.62 <br />10 <br />864.52 <br />64.90 <br />20 <br />160.72 <br />2.43 <br />20 <br />518.08 <br />23.38. <br />20 <br />. 873.35 <br />66-15 <br />30 <br />175.06 <br />2.67 <br />30 <br />.526.48 <br />. 24.14 <br />30 <br />881.88 <br />- 67.47 <br />40 <br />183.40 <br />2.93 <br />40 . <br />.534.89 <br />.24.91 <br />40 <br />S90.41 <br />68.77 <br />50 . <br />191.74 <br />3.21 <br />50 <br />543.20• <br />25.70 <br />50 <br />898.95 <br />70.09 <br />4 <br />200.08 <br />3.49 <br />11 <br />551:70 <br />26.50 <br />18 <br />007.49 <br />71.42 <br />10 <br />208.43 <br />3.79 <br />10 <br />560.11 <br />27.31 <br />10. <br />916.03 <br />72.76 <br />20 <br />216.77 <br />4.10 <br />20 <br />568.53 <br />28.14 <br />20 <br />924.55 <br />74.12 <br />•:30 <br />225.12 <br />4.42 <br />30' <br />576.95 <br />2S.97 <br />•30 <br />933.13 <br />75.49 <br />'40 <br />233.47 <br />4.76 <br />40 <br />585.36 <br />29.82 <br />40 <br />941.60 <br />76.86 <br />50 <br />241.81 <br />5.10 <br />50. <br />593.79 <br />30.68 <br />50 <br />050.25 <br />75.26 <br />6 <br />250.16 <br />5.46 <br />12 <br />602.21 <br />31.56 <br />19 <br />958.81 <br />79.67 <br />10 <br />258.51 <br />5.83 <br />10 <br />610.64 <br />32.45 <br />10 <br />967.33 <br />81:09 <br />20 <br />266.86 <br />6.21 <br />20 <br />619.07 <br />33.35 <br />20 <br />975.96 <br />82.53 <br />30 <br />275.21 <br />6.61 <br />30 <br />627.50 <br />34.26 <br />30 <br />984.53 <br />83.97 <br />40 <br />283.57 <br />7.01 <br />46 <br />635.93 <br />35.18 <br />40 <br />993.12 <br />55.43 <br />50 <br />291.92 <br />7.43 <br />50 <br />644.37 <br />36.12 <br />50' <br />1001.7 <br />86.90 <br />6 <br />:300.28 <br />7.85 <br />13 <br />652.81 <br />37.07 <br />20 _ <br />1010.3• <br />88.39 <br />10 <br />308.64 <br />8.31 <br />10 <br />661.25 <br />38.03 <br />10 <br />1018.9 <br />89.50 <br />20 <br />1402.0 <br />8.76 <br />20 <br />660.70 <br />39.01 <br />20 <br />1027.5 <br />91.40 <br />30 <br />_316.99 <br />325.35 <br />0.23 <br />30 <br />678.15 <br />39.99 <br />30 <br />1036.1 <br />92.02 <br />40 <br />333.71 <br />9.71 <br />'40 <br />686.60 <br />40.99 <br />40 <br />1044.7 <br />9.1.46 <br />50 <br />342.08 <br />10.20 <br />50 <br />695.06 <br />42.00 <br />50 <br />1053.3 <br />00.01 <br />7 <br />350.44 <br />10.71 <br />14 <br />703.51 <br />43.03 <br />21 ° <br />1061.9 <br />97.57 <br />10 <br />355.81 <br />11.22 <br />.10' <br />711.97 <br />44.07 <br />10 <br />1070.6 <br />99.15 <br />20 <br />367.17 <br />11.75 <br />20 <br />720.44 <br />45.12 <br />20 <br />1079.2 <br />100.75 <br />_ <br />30 <br />375.54 <br />12.29 <br />30 <br />728.90 <br />46.18 <br />30 <br />1087.3 <br />102.3.5 <br />40 <br />383.91 <br />12.85 <br />40 <br />737.37 <br />47.25 <br />40 <br />1096.4 <br />103.07 <br />50 <br />392.25 <br />13.41 <br />50 <br />745.85 <br />48.34 <br />50 <br />1105.1 <br />105.60 <br />Corrections to be Added (T =Tangent. E=External.) <br />Ink. Curve 5° <br />Angle <br />1D° 15° 200 1.250 <br />Extenral <br />30° 35° <br />; <br />40° <br />45° <br />50° <br />55° <br />600 <br />65° <br />70° <br />5o T=.02 <br />.03 .05 .08 <br />'.03 <br />.10 .11 <br />.13 <br />.15 <br />.1G <br />.18 <br />.20 <br />.21 <br />23 <br />- E=.000 <br />.000 .001 .001 <br />.002 <br />A02 .002 <br />.003 <br />.003 <br />.001 <br />.004 <br />.004 <br />.005 <br />•005 <br />10° T =.03 <br />.06 .09 .13 <br />.16 <br />.l9 .22 <br />.25 <br />•.23 <br />.31 <br />.34 <br />.38 <br />.42 <br />.46 <br />E=.001 <br />.003 .004 .006 <br />.00 <br />.003 .009 <br />.011 <br />.012 <br />.014 <br />.015 <br />.017 <br />.018.0'30 <br />50 <br />15° T=.04 <br />.10 .14 .19.24 <br />50 <br />.29 .34 <br />.39 <br />.45 <br />.51 <br />.53 <br />.58 <br />.63 <br />.68 <br />E=.003 <br />.007 .010 .014 <br />.018 <br />.023 .027 <br />.029 <br />.032 <br />.035 <br />.039 <br />.013 <br />.047 <br />•051 <br />20° T =:OG <br />.13 .19 .26 <br />.32 <br />.39 .45 <br />.51 <br />.58 <br />.65 <br />.72 <br />.79---:84- <br />206.77, <br />60 <br />E=.006 <br />.011 .017 .022 <br />.028 <br />.03.1 .038 <br />.045 <br />.051 <br />.057 <br />.063 <br />.070 <br />.076 <br />.083 <br />T=.08 <br />1 '3 <br />124.41 <br />1 .58 <br />1571.0' <br />211.48' <br />: 40 <br />1954.3 <br />324.1 <br />1.06 <br />1.14 <br />25° E=.009 <br />.16 .24 <br />.018 •.027 .036 <br />.40 <br />.046 <br />.49 <br />.05G .065 <br />.67 <br />.074 <br />.75 <br />.053 <br />.83 <br />".093 <br />.00.99 <br />.106 <br />.120 <br />.127 <br />.135 <br />TABLE L= Tangents and Externals to a 1' Curve. III 1 <br />Chord =100 f t. <br />Angle <br />Tangent <br />Extenral <br />Angie <br />Tangent <br />External <br />.ung <br />Tangent <br />External <br />220, <br />1113.7 <br />107.24: <br />29° <br />1481.8 <br />188:51' <br />'36°' <br />1861.7 <br />294.9 <br />lOr <br />1122.4 <br />108.90' <br />10' <br />.1490.7 <br />190.74 <br />10' <br />1870.9 <br />297.7 <br />20 <br />1131.0 <br />110.57 <br />20 <br />'1499.6. <br />192.99 <br />.20 <br />1880.1 <br />300.6 <br />30: <br />.1139.7 <br />112.251 <br />.. 30 <br />1508.5 <br />195.25 <br />30 <br />1889.4 <br />303.5 <br />' 40. <br />1148.4 <br />.113.95. <br />40 <br />1517.4 <br />197.53 <br />40 <br />1898.6 <br />306.4 <br />50 <br />.1157.0 <br />.115. GG <br />50 <br />1526.3 <br />199.82 <br />50 <br />1907.9 <br />. 309.3 <br />,23. <br />.1165.7 <br />117.38 <br />30 <br />1535.3 <br />202.12 <br />37 <br />1917.1 <br />312.2 <br />10 <br />1174.4 <br />119.12 <br />10 <br />'1544.2 <br />204.44 <br />10 <br />1926.4 <br />315.2 <br />20 <br />1183..1 <br />120.87 <br />.4 20 <br />1553.1 <br />206.77, <br />. 20 <br />1935.7 <br />318.1 <br />30 <br />1191.8 <br />122.63 ' <br />30 <br />1562.1 <br />209.12 <br />30 <br />1945.0 <br />321.1 <br />40 <br />_1200.5• <br />124.41 <br />40 <br />1571.0' <br />211.48' <br />: 40 <br />1954.3 <br />324.1 <br />50 <br />1209.2 <br />120.20 <br />50 <br />1580.0 <br />213.86 <br />50 <br />1963.6 <br />327.1 <br />.24 • <br />1217.9- <br />128.00 <br />` <br />31 -: <br />'1559.0 <br />216.3 <br />38, <br />'1972.9 <br />330.2 <br />10 <br />1226.6 <br />129.82 <br />10 <br />1508.0 <br />218.7{ <br />10 <br />1952.2 <br />. 333.2 <br />20 <br />1235.3 <br />131 65 <br />20 <br />1600.9 <br />221.1 <br />20 : <br />1991.5 <br />336.3 <br />30' <br />'1244:0' <br />133.50 <br />'30 <br />'1615.9' <br />223.5; <br />30 : <br />2000.9 <br />339.3 <br />40 <br />1252.8 <br />, <br />135.35 <br />L 40 <br />1624:9 <br />226.0 <br />40 . <br />2010.2 <br />342.4 <br />50 <br />.1261.5 <br />137.23 <br />50 <br />.1633.9 <br />+228.4• <br />50 <br />2019.6 <br />345.5 <br />25 <br />1270.2 <br />139.11 <br />32 <br />C <br />1643.0 <br />230.9 <br />39. <br />.2029.0. <br />348.6 <br />10 <br />1270.0 <br />141.01 <br />10 <br />1652.0 <br />233.4 <br />"10 <br />2038.4 <br />351.8 <br />20 <br />1287.7 <br />142.93 <br />20 <br />1661.0 <br />235.9 <br />20 <br />2047.8 <br />354.9 <br />30 <br />1296.5 <br />144.85 <br />30 <br />1670.0 <br />238.4 <br />30 <br />•20.57.2 <br />358.1 <br />40 <br />130.,.3 <br />146.79 <br />40 <br />1679.1 <br />241.0 <br />40 <br />2066.6 <br />361.3 <br />50 <br />1314.0 <br />143.75 <br />50 <br />1688.1 <br />243.5 <br />50 <br />2M,G:0 <br />364.5 <br />26 <br />'1322:8 <br />150.71 <br />33 <br />1697.2 <br />246.1 <br />'40 <br />2085.4 <br />367.7 <br />10 <br />1331.6 <br />152.69 <br />10 <br />1706.3 <br />248.7 . <br />10 <br />2004.9 <br />371.0 <br />20 <br />1340.4 <br />151.G9 <br />20 <br />1715.3 <br />251.3 <br />20 <br />.2104.3 <br />374.2 <br />30 <br />1349.2 <br />156.70 <br />30 <br />1724.4 <br />253.9 <br />30 <br />2113.8 <br />377.5 <br />40 <br />1358.0 <br />158.72 <br />40 <br />1733.5. <br />256.5 i <br />._ 40 <br />2123.3 <br />330.8 <br />'50 <br />1366.3' <br />160.76 <br />50 <br />1742.6 <br />259.1 : <br />50 <br />2132.7 <br />334.1 <br />27- <br />1375.6, <br />162.81 <br />34 <br />1751.7 <br />261.8 <br />41' <br />2142.2 <br />387.4 <br />10 <br />1384.4 <br />164.86 <br />10 <br />1760.8 <br />264.5 <br />10 <br />2151.7 <br />390.7 <br />20 <br />1393.2. <br />166.95 <br />20 <br />1770.0 <br />.267.2 ' <br />20 <br />2161.2 <br />394.1 <br />30 <br />1402.0 <br />169.04 <br />30 <br />1779.1, <br />269.0 <br />30 <br />2170.8 <br />397.4 <br />40 <br />1410.9 <br />171.15 <br />40 <br />1788.2 <br />272.6 <br />" 40 <br />2180.3 <br />400.8 <br />50 <br />1419.7 <br />173.27 <br />50 <br />1797.4• <br />275.3 <br />50 <br />2189.9 <br />404.2 <br />28 <br />1428.6 <br />i <br />175.41 <br />356 <br />1806.7 <br />278.1 <br />42 <br />2199.4 <br />407.6 <br />10 <br />1437•.4: <br />177.55 <br />10 <br />1815. <br />280.8 <br />"10 <br />2209.0 <br />411.1 <br />20 <br />1446:3 <br />179.72 <br />20 <br />1324.9 <br />283.6 <br />20 <br />2218.6 <br />414.5 <br />30 <br />1455.1 <br />181:89 <br />30 <br />1834.1 <br />286.4 <br />80 <br />2228.1 <br />418.0 <br />40 <br />1464.0 <br />184.08 <br />40 <br />'1843.3: <br />289.2 <br />40 <br />2237:7 <br />421.4 <br />50 <br />1472.9 <br />186.29 <br />50 <br />1852.5 <br />292.0 1 <br />50 <br />2247.3 <br />425.0 <br />Corrections to be Added (T =Tangent. E=External.) . <br />Ind <br />Angle - <br />Curves' <br />10' <br />150 <br />20° <br />25' <br />30° <br />1 35° <br />40° <br />45° <br />50° 55' <br />60° <br />65° <br />70° <br />20o <br />T=.06 <br />.13 <br />.19 <br />.26 <br />.32 <br />.39 <br />.45 <br />:51 <br />.58 <br />.65 .72 <br />.79 <br />.84 <br />.90 <br />E=.006 <br />-.011 <br />.017 <br />.022 <br />.028 <br />.0.94 <br />.038 <br />.0.45 <br />.051 <br />.057 .093 <br />.070 <br />.076 <br />.083 <br />.25° <br />T=.08 <br />.16 <br />:24 <br />.33 <br />.40 <br />.49 <br />.58 <br />.67 <br />.75 <br />.83 .90 <br />.99 <br />1.06 <br />1.14 <br />E =.009 <br />.018 <br />.027 <br />.036 <br />.040 <br />.050 <br />.065 <br />.074 <br />.083 <br />.093 .106 <br />.120 <br />.127 <br />.135 <br />30° <br />T=.10 <br />.19 <br />.29 <br />.39 <br />.49 <br />.50 <br />.69 <br />.79 <br />.39 <br />.99 1.09 <br />1.20 <br />1.29 <br />1.39 <br />E=.013 <br />.025 <br />.038 <br />.055 <br />.065 <br />'.078 <br />.090 <br />.103 <br />.110 <br />.129 .149 <br />.170 <br />.179 <br />.188 <br />35° <br />T=.11 <br />.22 <br />.34 <br />.47 <br />.58 <br />.69 <br />.80 <br />.93 <br />1.05 <br />1.17 1.29 <br />1.42 <br />1.54 <br />1.66 <br />E=-018 <br />.035 <br />.054 <br />.072 <br />.086 <br />.109 <br />.131 <br />.153 <br />.175 <br />.197 .213 <br />.230 <br />.247 <br />.264 <br />40o <br />T=.13 <br />.26 <br />.40 <br />.80 <br />.93 <br />1.06 <br />1.20 <br />1.34 1.49 <br />1.64 <br />1.79 <br />1.94 <br />E=.023 <br />.046 <br />.070 <br />.141 <br />.172 <br />.203 <br />'.234 <br />.265 .277 <br />.290 <br />.315 <br />.341 <br />•45° <br />T=.15 <br />.30 <br />.44 <br />±.093.117 <br />.91 <br />1.06 <br />121 <br />1.37 <br />1.52 1.70 <br />1.87 <br />2.04 <br />2.Lr=.030' <br />.060 <br />.093 <br />.184 <br />.216 <br />.254 <br />.289 <br />.325 .351 <br />.378 <br />All <br />.445 <br />Atm <br />41: <br />