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II TABLE L - Tangents and Externals to a P Curve. <br />Chord =100 ft. <br />Ins. <br />Angle <br />Tangent <br />External <br />: Int. <br />. Angle ' <br />Tangent <br />External <br />: ' Int. <br />"',Angle <br />Tangent <br />External <br />10 <br />50:00 <br />22 <br />8° ' <br />400.66 <br />'13.99 <br />160= <br />754.32 <br />49.44 <br />10, <br />58.34 <br />.30 <br />10' <br />409.03 <br />14.58 <br />10' <br />762.80 <br />50.55 <br />20 <br />66.67 <br />.39 <br />20 <br />;417.41 <br />15.18 <br />-.. 20, <br />-.771.29 <br />61.68 <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 />442:55 <br />17.07 <br />50 <br />796.75 <br />55.13 <br />2, <br />100.01 <br />.87 <br />9. <br />'450.93 <br />'459.32 <br />,17.72 <br />16 - <br />805.25 <br />'813.75 <br />56.31 <br />10 <br />108.35 <br />1.02' <br />10 <br />.83 .90 <br />18:38 <br />10 <br />1.14 <br />'67:50 <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 />1.36 <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 />-140484.49 <br />1571.0 <br />20.45 <br />40 <br />839.27 <br />61.14 <br />b0 <br />141.70 <br />1.75 <br />50 <br />-492:88 <br />_ <br />21.16 <br />50 <br />'847.78, <br />62:38 <br />-'9' <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 />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 />1615.9 <br />24:14 <br />30 <br />_ <br />881.88 <br />67.47 <br />40 <br />183.40 <br />2.93 <br />40 <br />-526.48 <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 />6 <br />200:68 <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 />146.79 <br />_ <br />40 <br />585.36 <br />29.82 <br />40 <br />941.69 <br />76.86 <br />50 <br />241.81 <br />.4.78 <br />5.10 <br />50' <br />-593:79 <br />30.68 <br />50 <br />950.25 <br />78.26 <br />b <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 />1.20 - <br />619,07 <br />. 33.35' <br />r- <br />975.96 <br />82.53 <br />30 <br />275.21" <br />6.61' <br />30 <br />, <br />627.50 <br />.34 26 <br />-.20 <br />30 <br />984.53 <br />83.97 <br />40 <br />283.57 <br />7.01 <br />• <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 />,27 <br />1375.6 <br />162.81 <br />34 <br />1751.7 <br />261.8 <br />41 <br />2142.2 <br />387.4 <br />6 <br />300.28, <br />'7.88 <br />13 <br />2.81 <br />6510 <br />37.07'20 <br />10 <br />1010.3 <br />88.39 <br />10 <br />308.64 <br />8.31 <br />.20 <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 />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 />_ <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 />: 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 />'48.34 <br />50 <br />1105.1 <br />105.60 <br />be Added (T =Tangent. E=External.) <br />20°` 250 <br />30°' 35° <br />External <br />45o <br />50° 55° <br />60° <br />65° <br />70- <br />06 :O8 <br />220 <br />1113.7 <br />.15 <br />.16 .18 <br />.20 <br />.21 <br />.23 <br />.001 '.002 <br />.002 ::.002 <br />r.225 <br />.003 <br />.004 .004 <br />.004 <br />.005 <br />.005 <br />:13- .16 <br />.19 .22 <br />297.7 <br />.28 <br />".31 .34 <br />.38 <br />.42 <br />.46 <br />.006 .007 <br />.008 ..009 <br />1880.1- <br />.012 <br />.014 .0 <br />.017 <br />.O1S <br />.020 <br />19 .24 <br />'.29' .34 <br />.30 <br />.45 <br />.51 '.53 <br />.58 <br />.63 <br />.68 <br />.014 .018 <br />.023 .027 <br />.029 <br />.032 <br />.035 :.039 <br />.043 <br />.047 <br />.051 <br />.26 .32 <br />.39 .45 <br />.51 <br />.58 <br />.65 .72 <br />.79. <br />.84 <br />.90 <br />.022 .028 <br />.034 .038 <br />.045 <br />.051 <br />.057 .063 <br />.070 <br />'.076 <br />.083 <br />.33 .40 <br />.49 .58 <br />.67 <br />.75 <br />.83 .90 <br />.09 <br />1.06 <br />1.14 <br />.036 .046 <br />.056 .065 <br />.074 <br />.083 <br />:.093 .106 <br />.120 <br />.127 <br />.135 <br />TABLE L - Tangents and Externals to a 1° Curve.' IIY <br />Chord =100 ft.. <br />.'Angle <br />Tangent <br />External <br />Angie <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />220 <br />1113.7 <br />107.24- <br />290 <br />1481.8 <br />188.51 <br />36° <br />1861.7 <br />294:9 <br />JO/ <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 />, <br />306.4 <br />50 <br />1157.0 <br />115.66 <br />50 <br />1526.3 <br />199.82 <br />60 <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 />20.1183".1 <br />.065 <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 />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 <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 />r <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 />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 />144.8530 <br />1670.0 <br />238.4 <br />30 <br />2057.2 <br />358.1 <br />40 <br />'1305.3 <br />'1314.0 <br />146.79 <br />40 <br />1679.1 <br />241.0 <br />40 <br />2066.6 <br />.361.3 <br />50 <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 />3677 <br />10 <br />1331.6 <br />.1340:4' <br />152.69 <br />10 <br />1706.3 <br />248.7 <br />10 <br />2094.9 <br />371.0 <br />20 <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 />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 />28 ' <br />1428.6 <br />175.41 <br />35 <br />1806.6 <br />278.1 <br />42 <br />2199:4 <br />4076 <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 />'1455.1 <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 />M. <br />b0 <br />2247.3 <br />'425.0 <br />Corrections to be Added (T ='-Tangent. -: E = External.) <br />Int. <br />Angle ' Curve 5° <br />10° <br />15° '•20° <br />25° <br />30' <br />35° <br />•40° <br />45° <br />50°' <br />55° <br />60° <br />65°. 700 <br />200 T=.06 <br />'.13 <br />.19 <br />.26 <br />.32.39 <br />.45 <br />.51 <br />.58 <br />.65 <br />.72 <br />.84 <br />E=.006 <br />:011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.045 <br />.051 <br />.057 <br />.063 <br />,.79' <br />.070 <br />.90 <br />.076 .083 <br />250 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 1.14 <br />E.=.009 <br />.018 <br />.027 <br />.036 <br />-:046 <br />.056 <br />.065 <br />.074 <br />'.083 <br />.093 <br />,.106 <br />120 <br />.127 .135 <br />30°- ' T=.10 <br />.19 <br />..29 <br />.39 <br />-.49 <br />.59 <br />.69 <br />.79 <br />.89 <br />.99 <br />1.09 <br />1:20 <br />4.29 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 .188 <br />• 35o T=.11 <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 11.68 <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 />.247 264 <br />400 T=.13 <br />.26 <br />.40 <br />.53 <br />.67 <br />.80 <br />:93 <br />1.06 <br />1.20 <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 <br />.141 <br />.172 <br />.203. <br />.234 <br />.265 <br />.277 <br />.290 <br />.315 .341 <br />45° " T=.15, <br />.30 <br />:44 <br />.60' <br />.76_ <br />.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 <br />.184 <br />.216 <br />.254 <br />.289 <br />.325 <br />.351 <br />.378 <br />.411 .445 <br />