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TABLE I. - Tangents and Externals to a P Curve. <br />Chord= 100 ft_ <br />Int. <br />Angle <br />Tangent <br />' " <br />External <br />Int: ` <br />Angle ; <br />Tangent <br />External <br />Int. <br />". Apgle <br />Tangent <br />External <br />1° <br />50:00 <br />.22 <br />89„ <br />400'.66 <br />'',1,3:99 <br />'15° • <br />754.32 <br />49.44 <br />10' <br />58.34 <br />.30 <br />10'409-.03 <br />.21 <br />14.58 <br />10' <br />762.80 <br />50.55 <br />20 <br />66.67 <br />r: ,.39- <br />--20_,- <br />417.41,:- <br />15.18 <br />20. <br />.771.29 <br />51.68 <br />30 <br />75. 01 <br />...•j:.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 />.. 91.681. <br />:.73 <br />,.50 <br />.442:55- <br />17.07 <br />50 <br />796.75 <br />b5.13. <br />`.14 <br />100:01 <br />.87 <br />8.'• <br />"450.93 <br />-17.7 2:_ <br />'16' •, <br />805.25 <br />56.31 <br />10 <br />.108:35 <br />1.02 <br />10 <br />459.32 <br />'18.38 <br />10- <br />813.75. <br />, <br />'57.50 <br />20: <br />116.68 <br />1.19. <br />"-29 <br />467.71.' <br />19.06. <br />20 <br />.26 <br />-'58.70 <br />30 <br />125.02 <br />1.36 <br />30 <br />476.10: <br />19:75 <br />,-.822.25 <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 />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 />a <br />150.04 <br />3'.96 <br />10 <br />501:28 <br />'.21.89' <br />17 - <br />856.36 <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 />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 />. <br />534;.89 <br />226.0 <br />40 <br />890.41 <br />68.77 <br />50 <br />191.74 <br />3.21 <br />50 <br />543.29 <br />_','24.91 <br />25.70 <br />50 <br />898.95 <br />70.09 <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 />a <br />',200:08' <br />:'. 3:49 <br />�1h <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 />. <br />40 <br />933.13 <br />75.49 <br />40 <br />233.47 <br />4.76 <br />40 <br />585.36 <br />. 29.82 <br />.30_. <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 />248.7 <br />19 <br />958.81 <br />79.67 <br />10 <br />258.51. <br />5.83 <br />10 <br />610.64 <br />_.31.56 <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.•36.12: <br />261.8 <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.$ <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 />89.89 <br />20 <br />316.99 <br />8.76 <br />20 <br />669•.70 <br />269.9 <br />20 <br />1027.5 <br />'91.40 <br />30 <br />•325.35' <br />9.23 <br />30 <br />.'678.15 <br />,39.01 <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 />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 />30.375.54._ <br />1464.0 <br />12.29_ <br />- 30 <br />728.90 <br />46.18 <br />'30 'r <br />1087.8 <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 />50' <br />'745.85 <br />4$,34 <br />50 <br />1105.1 <br />105.60 <br />Corrections to be Added (T =Tangent. E=External.) <br />Into <br />Angle <br />Curve 5° <br />10° <br />15° <br />20°' <br />25° 30° <br />'35° 40° <br />1 45° 50° <br />55° <br />60° <br />1 65° <br />70° <br />50 <br />T=.02 <br />.03 <br />.05 <br />.06 <br />,08 .10 <br />.11 .13 <br />.15 .16 <br />.18 <br />.20 <br />.21 <br />.23 <br />10' <br />E =.000 <br />.000 <br />.001 <br />.001 <br />•.002 .002 <br />.002 .003 <br />.003 .004 <br />.004 <br />.004 <br />.005 <br />.005 <br />10° <br />T=.03O6 <br />112.25 ' <br />.09 <br />:13• <br />:16 .19 <br />.22 .25 <br />.28. .31 <br />.34 <br />.38 <br />.42 <br />.46 <br />40 <br />E=.001 <br />..003 <br />.004 <br />-.006 <br />.007 .008 <br />.009 .011 <br />.012 .014 <br />.015 <br />.017 <br />.018 <br />.020 <br />15° <br />T =.04.10 <br />309.3 <br />`.14 <br />.10 <br />.24 .29 <br />.34 .30 <br />.45 .51 . <br />.53 <br />.58 <br />.63 <br />.68 <br />10 <br />E =.003 <br />,.007 <br />.010 <br />.014 <br />.018 .023 <br />.027 .029 <br />.032 .035 <br />.039 <br />.043 <br />.047 <br />.051 <br />20° <br />T =.O6 <br />13 <br />.19 <br />.26 <br />.32 .39 <br />.45 .51 <br />.58. .65 <br />.72 <br />.79 <br />.84 <br />.90 <br />30 <br />E =:006 <br />.011 <br />.017 <br />.022 <br />.028 .034 <br />.038 .045 <br />.051 .057 <br />.063 <br />.070 <br />.076 <br />.083 <br />25o <br />T=.08 <br />.16 <br />.24 <br />.33 <br />.40 .49 <br />.5S .67 <br />.75 .83 <br />.90 <br />.99 <br />1.06 <br />4.14 <br />31 <br />E =.009 <br />.018 <br />.027 <br />..036 <br />.046 .056 <br />.065 .074 <br />.083 ,.093 <br />.106 <br />.120 <br />.127 <br />.135 <br />�TABLEI - Tangents and Externals to.a P 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 />220 <br />1113.7 <br />107:24 <br />29° <br />1481.8 <br />188.51 <br />366 <br />1861.7 <br />.294.9 <br />I(Y <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 />112.25 ' <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 />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 />.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 />60 <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 />.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 i <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 />1.70 <br />'1252.8 <br />135.35 <br />40 <br />1624.9 <br />226.0 <br />40 <br />2010.2 <br />342.4- <br />.-40 <br />50 <br />1261.5 <br />137.23 <br />50 <br />1633.9 <br />228.4 <br />50 <br />2019.6 <br />345.8 <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 />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 />. <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 />10 <br />1706.3 <br />248.7 <br />10 <br />2094.9 <br />371.0 <br />20 <br />1340.4, <br />154.69 <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 <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 />27 <br />1375.6, <br />162.81 <br />34' <br />1751.7 <br />261.8 <br />41 <br />2142.2 <br />•387.4 <br />. <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 />M. <br />'1428.6 <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 />179.72 <br />20 <br />1824.9. <br />283.6 <br />20 <br />2218.6 <br />414.5 <br />.30 <br />" 14555.1 <br />181.89 <br />30 <br />1834.1 <br />286.4 <br />30 <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 <br />50 <br />2247.3 <br />`425.0 <br />Corrections to be Added (T =Tangent. E = External.) <br />Int <br />Angle <br />Curve 5° <br />10° ` <br />15° <br />20° <br />25° 30° <br />35° <br />-40° <br />45°' <br />"50° <br />55° <br />600 <br />65o 70e <br />260 <br />T=.06 <br />.13 <br />.19 <br />.26 <br />.32 .39 <br />.45' <br />.51 <br />.58''.65 <br />.72.79 <br />.84 .90 <br />E=.006" <br />.011 <br />-.017 <br />.022 <br />.028 .034 <br />.038 <br />.045 <br />.051 <br />,.057 <br />.063 <br />.070 <br />.076 .083 <br />25. <br />T=.08 <br />.16 <br />.24 <br />.33 <br />.40 .49 <br />.58 <br />.67 <br />.75 <br />.83 <br />.90 <br />.99 <br />11.00 '1.14 <br />E=.009 <br />.018..027 <br />.036 <br />.046 .056 <br />.065 <br />.074 <br />-.083 <br />.093 <br />.106 <br />.120 <br />.127 .135 <br />30o <br />T=10 <br />.19 <br />.29- <br />.39 <br />..49' .59 <br />.69 <br />.70 <br />.89 <br />.99 <br />1:09 <br />1.20' <br />1.29 1.39 <br />E=.013 <br />-.025 <br />.038 <br />.051 <br />.065 .078 <br />.090 <br />.103 <br />.116 <br />.129 <br />.149 <br />.170 <br />.179 .188 <br />35° <br />T=.11 <br />.22 , <br />.34 <br />.47 <br />-.58 .69 <br />.80 <br />.93 <br />1.05 <br />1.17 <br />1.29 <br />1.42 <br />1.54 1.66 <br />E=.018 <br />.035 <br />.054 <br />.072 <br />.086 '.109 <br />.131 <br />.153 <br />.175 <br />.197 <br />.213 <br />.230 <br />.247 264 <br />40o <br />T=.13 <br />,26 <br />.40 <br />' .53 <br />.67 .80 <br />.93 <br />11.06 <br />11.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 1.94 <br />E =.023 <br />.046 <br />.070 <br />.093 <br />.117 .141 <br />.172 <br />.203 <br />.234 <br />.265 <br />.277 <br />.290 <br />.315 .341 <br />45o <br />T=.15 <br />.30 <br />44.60 <br />.76 ' .91 <br />1.06 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 <br />2.04 2.21 <br />E=.030 <br />.060 <br />.093 <br />.119 <br />.153 .184 <br />216 <br />254 <br />289 <br />325 <br />351 <br />.378 <br />.411 '.445 <br />