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II TA13LE I. - Tangents and Externals to a 10 Curve. <br />Chord -100 ft. , •, <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />11 Angle <br />Tangent <br />External <br />i°. <br />50.00 <br />.22 <br />S. <br />400.66 <br />•13.99 <br />15° <br />754.32 <br />49.44 <br />10, <br />58.34.30 <br />' <br />101; <br />409.03 <br />14:58 ', <br />10' <br />762.80 <br />50.55. <br /><^0 <br />66.67 <br />.39 <br />.`20- <br />417.41 <br />' 15.38 ' <br />- -•20 <br />771.29 <br />51.68 <br />30 <br />75.01 <br />.49 <br />30 <br />425.79 <br />15.80 <br />30 <br />779.77 <br />52.82 <br />40 <br />83.34.., <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 />.50 <br />442155' <br />17.07 <br />50 ' <br />796.75 <br />55.13 <br />2 <br />100.01 <br />.87 <br />9 <br />450:93 <br />a-.17:72 <br />.46' <br />805.25. <br />56.31 ' <br />10 <br />108.35 <br />1.021 <br />10 ' <br />459.32'_ <br />18.38 <br />10c <br />813.75' <br />" 57.50 <br />-.20 <br />116.68 <br />-1.19 <br />20' <br />467:7119:06 <br />206.77. <br />20 - <br />'822.25. <br />58.70 <br />30 <br />125,02. <br />1.36 ' <br />30 <br />4760 <br />:1 <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 />839:27 <br />'G1.14 <br />50' <br />141.70 <br />1.75' <br />- .50- <br />492188 <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 />856 30 <br />63.63 <br />10 <br />158.38 <br />2.19 <br />10 <br />509.68 <br />22.62 <br />10 <br />864:82, <br />64.90 <br />20 <br />1G6.72 <br />2.43 <br />20 <br />518.08., <br />23.38 <br />20 <br />873.35 <br />66.18 <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 />890.41 <br />68.77 <br />50 <br />191.74 <br />3.21 <br />50 <br />543.29, <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 />2029.0 <br />71.42 <br />10 <br />208.43 <br />3.79 <br />10 <br />560.11 <br />27.31 <br />10 <br />.907.49 <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 />924.58 <br />74:12 <br />30 <br />225.12 <br />4'.42 <br />-- 30 <br />576.95, <br />.28.97 <br />- 30 <br />933.13 <br />75.49 <br />40 <br />233.47 <br />4.76 <br />40 <br />535:36 <br />29.82 <br />40 <br />941.69 <br />76.86 <br />50 <br />241,81 <br />5.10 <br />50 <br />593.79 <br />30.68, <br />50 <br />950.25 <br />78.26 <br />5 <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 />967.38 <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 />..40 <br />• 635.93.. <br />35.18 <br />40 <br />993.12 <br />85.43 <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 />7.86 <br />13 <br />652:$1 <br />37.07- <br />20 <br />1010.3 <br />88:39 <br />10 <br />' <br />308.64 <br />'316.99 <br />8.31 <br />10 . <br />661.25 <br />38.03 <br />10 <br />1018.9 <br />89.89 <br />20 <br />1393.2 <br />8.76 <br />20' <br />669.70 <br />39.01 <br />20 <br />1027.5 <br />91.40 <br />30, <br />325.35 <br />9.23 <br />30 <br />678.15 <br />39.99- <br />30 <br />1036.1> <br />92.92 ' <br />40 <br />333.71 <br />9.71 <br />40 <br />686.60 <br />40.99 <br />40 <br />1044.7 <br />94.46 <br />50 <br />342,08 <br />10.20 <br />50 <br />695.06 <br />42.00 <br />50 <br />1053.3 <br />96.01 <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 />358.81 <br />11.22 <br />10711.97 <br />1815.7 <br />44.07 <br />10 <br />1070.6 <br />99.16 <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 />30 <br />375.54 <br />12.29 <br />30 <br />728.90 <br />46.18• <br />30 <br />1087.8 <br />102.35 <br />40 <br />333.91 <br />12.85 <br />•40 <br />737.37 <br />47.25 <br />40 <br />1096.4 <br />103.97 <br />50 <br />392.28 <br />13.41 <br />5'0 <br />745.85 <br />48.34 <br />50 <br />1105.1 <br />105.60 <br />Corrections to be Added, (T=Tangent. E=External.) <br />Int. <br />Angle, <br />0 0 <br />-Curve 5 10 <br />15° <br />0 0 <br />20 25 <br />30 0 <br />350- <br />40° 45° <br />500 <br />55° 60° <br />651 <br />70° <br />5° <br />T=.02.03, <br />.05 <br />.06 .08' <br />:10 <br />.11 <br />.13 .15 <br />.16 <br />.18 .20 <br />108.90 <br />101 <br />=1490.7 <br />E=.000 .000 <br />.001 <br />.001 .002 <br />.002 <br />.002 <br />;003 .003 <br />.004 <br />.004 .004 <br />.21 <br />.005 <br />..23 <br />.005, <br />loo <br />T=.03 .06• <br />,09 <br />.13 .16 <br />.19.22 <br />112.25 <br />.25 .28 <br />-.31 <br />.34 ;.38 <br />30 <br />.46 <br />303.5 <br />E=.001 .003 <br />.004 <br />.006 .007 <br />` .008 <br />`.009 <br />.011 .012 <br />.014 <br />.015 .017 <br />.d2' <br />.018 <br />.020 <br />15° <br />T=.04 10 <br />.14 <br />.19 .24 <br />.29 <br />.34 <br />.89 .45 <br />.51 <br />.53 .58 <br />.030 <br />.68 <br />30 <br />E =.003 .007 <br />.010 <br />.014 .018 <br />.023 <br />.027 <br />.029 .032 <br />.035 <br />.039. .043 <br />.63 <br />.047 <br />.051 <br />20o <br />T = O6 .13 <br />tE <br />.19 <br />.26 .32 <br />.39 <br />.45 <br />.61 58 <br />'.65 <br />.72 <br />206.77. <br />.90 <br />1935.7 <br />=.006 .011 <br />.017 <br />.022 .028 <br />.034 <br />.038 <br />.045 .051 <br />.057 <br />.79 <br />.063 .070 <br />.84 <br />.076 <br />.083 <br />25o <br />T=.08 .16 <br />i E =.009 .0I8. <br />.24 <br />.027 <br />.33 .40.49 <br />.036 .046 <br />.056 <br />.58 <br />.065 <br />.67 .75 <br />.074 .083 <br />.83 <br />.093 <br />.90 .99 <br />.106 .120 <br />1.06 <br />.127 <br />1_.14 <br />.135 <br />TABLE I. Tangents and Externals to a 1' Curve. III <br />• Chord =100 f t. <br />Angle. <br />Tangent <br />External <br />Int. _ <br />Angle <br />Tangent <br />External <br />Int. <br />Angle I <br />Tangent <br />External <br />22'"- <br />-1113.7 <br />10T:24. <br />=29° <br />1481.8 <br />.188.51' <br />36° <br />1861:7 <br />294:9 <br />101 <br />•1122.4. <br />108.90 <br />101 <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 />112.25 <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 />115.66? <br />"' 50 <br />1526.3 <br />199.82, <br />50 <br />1907.9 <br />309.3 <br />23 _ <br />.030 <br />117.38 <br />30 <br />1535.3 <br />202.12 - <br />37 <br />1917.1 <br />-312.2 <br />10 <br />.1165:7 <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 />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 />126.20: <br />50 <br />'1580.0 <br />.213.86 <br />50 <br />1.963.6; <br />327.1 <br />1.42' <br />1217.9 <br />128.00 <br />31 <br />1589.0 <br />216.3 <br />38 <br />1972.9 <br />•330.2 <br />10 <br />1226.6. <br />129.82 <br />10 '. <br />.1598.0 <br />218.7 <br />10 <br />1982.2 <br />333.2 <br />20 <br />1235:3 <br />131.65 . <br />20 <br />1606.9 <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 />135.35 <br />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 />2$ <br />1270.2 <br />139:11 <br />32,- <br />1643.0 <br />230.9 <br />39 <br />2029.0 <br />348.6 <br />:10 <br />1279.0 <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 />2057, 2' <br />358.1 <br />40 <br />1305.3 <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 />148.75 , <br />50 <br />1688.1 <br />243.5 <br />"50' <br />2076.0 <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 />. <br />" 10 <br />1706.3 <br />248.7 <br />10 <br />2094:9 <br />371.0 <br />- 20 <br />71340,4 <br />154.69 <br />20 <br />1715.3 <br />.251.3 <br />20 <br />2104.3 <br />374. <br />30 <br />1349.2 <br />156.70 <br />30 <br />1724.4 <br />253:9 <br />30 <br />2113.8 <br />377. <br />40 <br />1358.0 <br />158.72 <br />40 <br />1733.5 <br />256.5 <br />-40 <br />2123.3 <br />380.8 <br />" 50 <br />'1366.8 <br />160.76 <br />50 <br />1742.6 <br />259.1 <br />50 <br />2132.7 <br />'384.1 <br />271,; <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 />269.9 <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 />284 <br />MS.'6a <br />175.41 <br />35 " <br />1806.6 <br />278.1 <br />42 <br />2199.4 <br />407.6 <br />;10 <br />`1437.4. <br />177.55 <br />10 <br />1815.7 <br />280.8 <br />10 <br />2209.0. <br />411.1 <br />20 <br />-1446.3 <br />170.72 <br />20 <br />1824.9 <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 />30 <br />2228.1 <br />418.0 <br />% <br />1464.0 <br />184.08 <br />40 <br />4843.3 <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 <br />50 <br />'2247.3 <br />425.0 <br />Coiiections to be Added • (T = Tangent. E = External.)' <br />A <br />Int <br />Curve 5° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />•45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />200 <br />T=.06, <br />.13 <br />.19 <br />.26.32 <br />.39 <br />.45 <br />.51 <br />'.045 <br />.58 <br />.65 <br />.72 <br />.79 <br />.84_ <br />.90 <br />E=.006 <br />.011 <br />.017 <br />.022 <br />,028 <br />.034 <br />.038 <br />.051 <br />.057 <br />.063 <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 <br />.90 <br />.99 <br />1.06 <br />1.14 <br />E=.009 <br />.018 <br />.027 <br />.030 <br />.046 <br />.056 <br />.065 <br />.074 <br />.083 <br />.093 <br />.106 <br />.120 <br />.127 <br />.135 <br />.29 <br />.39 <br />.40 <br />'.59 <br />.69 <br />.79 <br />.89 <br />.99 <br />1.09 <br />1.20' <br />1.29 <br />1.39 <br />E=.013 <br />.025 <br />.038 <br />.'.051 <br />.065 <br />.078 <br />.090 <br />.103 <br />.116 <br />-.129 <br />.149 <br />.170 <br />.179 <br />.188 <br />35o <br />.22 <br />.34 <br />.47 <br />.58 <br />.69 <br />.80• <br />.93 <br />1.05 <br />1.17 <br />1.29 <br />1.42' <br />1.54 <br />166 <br />E =:018 <br />.035 <br />.054 <br />.072 <br />.086 <br />..109 <br />.131 <br />.153 <br />.175 <br />.197 <br />.213 <br />.230 <br />.247 <br />.264 <br />40o <br />T =.13 <br />.26 <br />.40�.093 <br />.80 <br />.93 <br />1.06 <br />1.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />E =.023 <br />.046 <br />.07 <br />.141 <br />.172 <br />.203 <br />.234 <br />.265 <br />.277 <br />.290 <br />.315 <br />.341 <br />o <br />T=.15 <br />.30 <br />.44 <br />.91 <br />1.06 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87E=.030 <br />.060 <br />.09 <br />.184 <br />.216 <br />.254 <br />.289 <br />.325 <br />.351 <br />.378 <br />.411 <br />.445 <br />