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II TABLE I. - Tangents -and Externals to a r Curve. <br />Chord =100 ft. <br />Int.Ingle.n. <br />Angle <br />Tangent <br />External <br />. <br />Tangent <br />External <br />" Int. " <br />Anglo <br />Tangent <br />External <br />• 1° <br />50.00 <br />.22. <br />8° <br />400.66 <br />13.99. <br />15° <br />754.32 <br />.49 44 <br />10' <br />58'.34 <br />-.30 <br />-10' <br />-409.03 <br />14:58 <br />10' <br />762.50 <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 />.49 <br />30., <br />425:79 <br />15.80, <br />30 <br />779:77 <br />; 52,82 <br />40 <br />83.34 <br />Gr <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 />442.55 <br />17.07 <br />5D <br />796.75 <br />_55.13 <br />.23 <br />1165:7 <br />4 <br />30 <br />1535.3 <br />202.12 <br />37, <br />3917. 1, <br />312.2 <br />2 <br />100.01 <br />.87 <br />9 <br />450.93 <br />17.72! <br />16 <br />805.25 <br />58.31 <br />10 . <br />108:35 <br />1.02. <br />10= <br />459.32 <br />18:38 <br />10 <br />'813.75 <br />-• 57.50 <br />20 <br />116,68- <br />1.19. <br />20 = <br />467.71 <br />19.06, <br />20 <br />822.25 <br />58.70 <br />30 <br />125.02 <br />1.361 <br />30 <br />476.10 <br />19.75 <br />30 <br />830.76 <br />-59.91 <br />40 <br />133.36 <br />_ <br />1.55• <br />40 <br />484.49 <br />" 20.45 <br />40 <br />839.27 <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 />,'10 <br />'1226.6 <br />129.82 <br />'10 <br />1598.0 <br />218.7' <br />10 <br />1982.2 <br />333.2 <br />8 <br />150.04' <br />1.06' <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. G2 <br />10 <br />864.82 <br />64.90 <br />-20- <br />166:72 <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 />534.59 <br />2.1.91 <br />40 <br />890.41 <br />68.77 <br />50 <br />191.74' <br />3.21_ <br />,, <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 />:907.49 <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 />924.58, <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 />4.78 <br />40 <br />535.36 <br />'20.82 <br />40 <br />941.69 <br />`76.86 <br />•50 <br />241.81. <br />5.10 <br />50 <br />593.70. <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 />70.67 <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 />266.861 <br />6.21 <br />20 <br />-619.07 <br />33.35 <br />20 <br />1075.06- <br />82.53 <br />'30 <br />275.21, <br />6'.61 <br />30 <br />627.50 <br />34.26 <br />30 <br />084.53 <br />83.97 <br />40 <br />283.57 <br />7.01 <br />"40 <br />635.93' <br />35 AS <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 />652.81 <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 />1015.9-. <br />59.89 <br />20 <br />316199 <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 />0.71 <br />40 <br />686. GO <br />40.99 <br />• 40 <br />1044.7 <br />94.46 <br />50 <br />342:03 <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 />10 <br />711.97 <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 />JOS7.8 <br />102.35 <br />40 <br />383:91 <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 />1 50 <br />1 745.85 <br />48.34 <br />1 50 <br />1105.1 <br />105.60 <br />Corrections to be Added (T=Tangent. E=External.) <br />TA11LE L` -•Tangents and' Externals to a 1' Curve. tII <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 />22° <br />1113.7. <br />107.24 <br />29° <br />148118 <br />188.51 <br />36° <br />1861.7 <br />. 294.9 <br />101 <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 />.005 <br />-112.25 <br />-30 <br />'1508.5 <br />195.25 <br />30 <br />9539.4 <br />303.5 <br />•40 <br />,=1139.7 <br />1148.4 <br />113. 95 <br />40 <br />1517.4 <br />197.53 <br />40 <br />1895.6 <br />306.4 <br />50 <br />1757.0 <br />115.66 <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 />3917. 1, <br />312.2 <br />10 <br />1174.4 <br />110.12 <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 />1035.7 <br />1318.1 ' <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 />X40 <br />'1300.5 <br />124.41 <br />40 <br />157-1.0 <br />211.48 <br />40 <br />1054'.3 <br />324.1 <br />50 <br />1209.2 <br />126.20 <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 />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 />1598.0 <br />218.7' <br />10 <br />1982.2 <br />333.2 <br />.-20 <br />.1235.3 <br />131 65 <br />20 <br />`160619 <br />221.1 <br />20 <br />199 L.5 <br />336.3 <br />.':30 <br />•1244.0 <br />133.50 <br />30 <br />.1615.9 <br />223.5 <br />30 <br />2000.91 <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 />1033.9 <br />225.4; <br />50 <br />2019.6 <br />'345.5 <br />'25 ' <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 />1 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.&5 <br />30 <br />`••40 <br />1670.0 <br />238.4 <br />30 <br />2052.2 <br />358.1 <br />40 <br />1305.3 <br />146.79 <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 />1GSS.1• <br />243.5 <br />50 <br />20;6.0 <br />364.5 <br />'20 <br />1322.8 <br />150.71 <br />33 <br />1697:2 <br />246.1 <br />40 <br />2085.4 <br />357.7 <br />10 <br />1331.6 <br />152.69 <br />••"10 <br />1706.3 <br />248.7 <br />- 10 <br />2091.0 <br />371.0 <br />20 <br />1340.4 <br />154.G9 <br />20 <br />-1715.3 <br />251.3 <br />•.-20 <br />-2101.3 <br />374.2 <br />y 30 <br />1349.2 <br />156.70 <br />30 <br />1724.4 <br />253.9 <br />30 <br />2113.8 <br />377.5 <br />r'40 <br />1358.0 <br />153.72 <br />40 <br />1733.5 <br />256.5 <br />40 <br />2123.3 <br />350.8 <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 />227 -- <br />1375:6. <br />162.81 <br />'34 -.' <br />1751.7 <br />261:8 <br />41 <br />2142.2 <br />387.4 <br />7, '•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 />166.05 <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 />2150:3 <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 />175.41 <br />35 - <br />1S06.6 <br />278.1 <br />42 <br />2L99:4407.6 <br />10 <br />1437:4 <br />177.55 <br />10 <br />1815.7 <br />280,5 <br />10 <br />2209.0 <br />'411.1 <br />20 <br />1446.3 <br />179.72 <br />20 <br />1S21.9 <br />283.6 <br />20 <br />221S.6 <br />414.5 <br />30 <br />1455.1 <br />181.59 <br />30 <br />1534.1 <br />230.4 <br />•30 <br />2225.1 <br />413.0 <br />40 <br />1.164•.0 <br />154.08 <br />40 <br />1543.3 <br />259.2 <br />40 <br />2237.7 <br />421.4 <br />50 <br />1472:9 <br />1 1SG.29 <br />50 <br />1 1852.5 <br />292.0 <br />50 <br />2247.3 <br />1 425.0 <br />Int. Curve 5° <br />Angle <br />1D° <br />15° 20° <br />25° <br />30° <br />35° <br />4D'_ <br />45° <br />50° <br />55° <br />60° <br />.65° <br />70° <br />.5o T=.02 <br />.03 <br />05 .06 <br />.08 <br />.10 <br />.11 <br />.13 <br />.15 <br />.16 <br />.18 <br />.20 <br />.21 <br />.23 <br />E =.000 <br />ODO <br />.001 .001 <br />.002 <br />.002 <br />.002 <br />.003 <br />.003 <br />.004 <br />.001 <br />.004 <br />.005 <br />.005 <br />loo T=.03 <br />.09 <br />.09 .13 <br />.16 <br />.19 <br />.22 <br />.25 <br />.28 <br />.31 <br />.34 <br />.38 <br />.42 <br />.46 <br />E=.001 <br />.003 <br />.004 .006 <br />,007 <br />.008 <br />.009 <br />.011 <br />.012 <br />.014 <br />.015 <br />.017 <br />.018 <br />.020 <br />15o T=.04 <br />.10 <br />.14 .19 <br />.24 • <br />.29 <br />.34 <br />.39 <br />:45 <br />.51 <br />.53 <br />.58 <br />.63 <br />.68 <br />E =.003 <br />.007 <br />.010 .014 <br />.018 <br />.023 <br />.027 <br />.029 <br />-032 <br />.035 <br />.039 <br />.013 <br />.047 <br />.051 <br />20' T =.06 ' <br />.13 <br />.10 .26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 <br />.65 <br />.72 <br />.79 <br />.81 <br />.90 <br />E=.006 <br />.011 <br />.017 .022 <br />.028 <br />.034 <br />.038 <br />.045 <br />.031 <br />`.057 <br />.063 <br />.070 <br />.076 <br />.083 <br />25o T=.OS <br />.16 <br />:24 .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 />.927 .036 <br />.045 <br />.056 <br />.065 <br />.074 <br />.083 <br />093 <br />'.105 <br />.120 <br />.127 <br />.135 <br />Corrections to be Added (T = Tangent. - E = External.) <br />Int. <br />Ang tc <br />Curve -5° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />40° <br />65° <br />70° <br />20° <br />T=.06 <br />.13 <br />.19 <br />.26 <br />.32 <br />39 <br />:45 <br />.51 <br />.58 <br />05 <br />.72 <br />.79 <br />.84 <br />.90 <br />E=.005 <br />.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.045 <br />.051 <br />.057 <br />.033 <br />.070 <br />.076 <br />.083 <br />25° <br />T=.nB <br />.16 <br />?4 <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 />.035 <br />.046 <br />.056 <br />.055 <br />.074 <br />.083 <br />.093 <br />.106 <br />.120 <br />.127 <br />.135 <br />30° <br />T=.10- <br />.10 <br />.29 <br />.39 <br />.49 <br />.59 <br />'.69 <br />.79 <br />.89 <br />.99 <br />1.09 <br />1.20 <br />1.20 <br />1.39 <br />E=.013 <br />.025 <br />.038 <br />.031 <br />.065 <br />.078 <br />.090 <br />.103 <br />.116 <br />.129 <br />.149 <br />.170 <br />.179 <br />.188 <br />351 <br />T=.11 <br />.2'2 <br />.34 <br />.47 <br />.58 <br />.60 <br />.SO <br />03 <br />1.05 <br />1.17 <br />1.'29 <br />1.12 <br />1.54 <br />1.66 <br />E=.018 <br />.035 <br />.054 <br />.072 <br />.OSG <br />.109 <br />,131 <br />.153 <br />,175 <br />.197 <br />313 <br />230 <br />.247 <br />264 <br />40° <br />T=.13 <br />3G <br />40 <br />-.53 <br />'.fi7 <br />.SO <br />.93 <br />1.OG <br />1.20 <br />2.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />E =.023 <br />.040 <br />.070 <br />:093 <br />.117 <br />.141 <br />.172 <br />.203 <br />.234 <br />.265 <br />.277 <br />.290 <br />.315 <br />.341 <br />45° <br />T=.15 <br />30 <br />.44 <br />.f;0 <br />.76 <br />.91 <br />1.06 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />LS7 <br />2.04 <br />221 <br />E=.030 <br />t .060 <br />.0$3 <br />.119 <br />.153 <br />.184 <br />.216 <br />.254 <br />.239 <br />.325 <br />.351 <br />378 <br />.411 <br />.445 <br />W <br />