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IQ TABLE I. - Tangents and Externals to a P Curve. . <br />01nrd=100 ft_ <br />Angle <br />Tangent <br />Ern <br />xteal <br />Angle <br />Tangent <br />External <br />Angle <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 />'. 40' <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 />.49' <br />30c <br />425.79 <br />15.80 <br />30 <br />779.77 <br />52.82 <br />40 <br />83.34'='" <br />.61 <br />40'._434.17 <br />.008 <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 />17.72 <br />16-- <br />805.25- <br />56 31 <br />10 <br />108.35 <br />1.02 <br />10, <br />459.32 <br />20° T=.06 ,- <br />10 <br />813.75 <br />.57.50 <br />20. <br />116.68 <br />1.19 <br />20 <br />467.71 <br />.18.38 <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 />40 <br />'484.49. <br />.49 <br />40 <br />839.27 <br />61.14 <br />50 <br />141.70 <br />1.75 <br />50 <br />492.88 <br />.20.45• <br />21.16 <br />50 <br />847.78 <br />62.38 <br />8 1 <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 />' 20'873.35 <br />1991.5 <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 />, <br />. 24.91 <br />_ <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 />1T - <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 />4.76 <br />40 <br />585.36 <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 />W <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 />652.81 <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 />89.89 <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 />1779.1 <br />_.39.99: <br />30 <br />.1036.1 <br />92.92 <br />40 <br />333.71 <br />9.71 <br />40 <br />,678.15 <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 <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 6 <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 />Corrections to be Added (T = Tangent. E = External.) <br />Int.Curve 5° <br />Angle <br />10° <br />15° <br />20°. <br />25° <br />30°; <br />35° <br />40° 45° 50° <br />55° <br />60° <br />65° 70° <br />5o T=.02.03 <br />29° <br />.05 <br />.06 <br />.08 <br />.10 <br />.11' <br />..13 .15 .16 <br />.18 <br />.20 <br />.21 .23 <br />E =.000 <br />.000 <br />.001 <br />.001 <br />.002 <br />.002 <br />.002 <br />:003 .003 .004 <br />.004 <br />.004 <br />.005 .005 <br />loo T=.03.06 <br />1880.1 <br />.09 <br />.13 <br />.16 <br />.19 <br />.22' <br />.25 .28 '.31' <br />.34 <br />.38 <br />.42 .48 <br />E=.001 <br />.003 <br />.004 <br />..006 <br />.007 <br />.008 <br />.009 <br />.011 ".012 .014 <br />.015 <br />.017 <br />.018 .020 <br />15° T=.04 <br />.10 <br />":14 <br />'.010 <br />.19 <br />.24 <br />.29 <br />.34 <br />:39 .45 .51 <br />.53 <br />.58 <br />.63 .68 <br />-E=-.003- <br />.007 <br />202.12 <br />.014 <br />.018 <br />.023 <br />.027 <br />.029 .032 '.035 <br />.039 <br />.043 <br />.047 .051 <br />20° T=.06 ,- <br />:13 <br />..19.26 <br />'315.2 <br />.32 <br />.39 <br />.45 <br />.51 .58 .65 <br />.72 <br />.79 <br />.84 .90 <br />E=.006 <br />.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.045 .051 .057 <br />.063 <br />.070 <br />.076 .083 <br />25° T=.08 <br />.16 <br />.24' <br />.33 <br />.40 <br />.49 <br />.58.67 <br />.75 .83 <br />.90 <br />.99 <br />FO6 L14 <br />E =.009 <br />.018 <br />.027 <br />,.036 <br />.046 <br />.056 <br />.065 <br />.074 .083 .093 <br />.106 <br />.120 <br />.127 135 <br />TABLE L -.Tangents and Externals to a l' Curve. m <br />Chord= 100 ft. <br />Int. " <br />Angle ' <br />Tangent <br />External, <br />' Int. <br />Angle <br />Tangent <br />Y` <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 />-36°" <br />1861.7 <br />294.9 <br />10Y <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 />.093 <br />1165.7 <br />117.38 <br />30 <br />1535:3 <br />202.12 <br />37 <br />1917.1 <br />312.2 <br />123' <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 />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 />"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 />i, 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 />1290.5 <br />144.85 <br />1 30 <br />1670.0. <br />238.4. <br />30 <br />2057.2 <br />1358.1 <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 />-. 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 />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 />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 />1455.1 <br />181.89 <br />BO <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 />Angle; Curve P <br />10° <br />-15° <br />-20° <br />25° 30° <br />35° <br />40° <br />40 <br />$0° I <br />55° <br />60° 1 65° ?0°. <br />20o - T,=:06 <br />..13 <br />.19 <br />.26 <br />.32 .39 <br />.45.51 <br />.58 <br />.65 <br />.72 <br />.79 ..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 .076 .083 <br />250-- T=.08 <br />.I6 <br />.24' <br />-.33.40 <br />.49 <br />.58 <br />.67 <br />.75 <br />.83 <br />.90 <br />.99 1.06 1.14 <br />E =.009' <br />..018 <br />.027 <br />.036 <br />.046 .056 <br />.065 <br />.074 <br />.083 <br />.093 <br />.106 <br />.120 .127 .135 <br />30° 1=1E <br />1.1049 <br />1.20 <br />1.179 .29 1 <br />=.013 <br />.025 <br />.038 <br />091 <br />.065 .078 <br />.090 <br />.103 <br />.116r1.334 <br />170 188 <br />35-'. T=.11 <br />.22 <br />.34 <br />.47 <br />.58 .69 <br />.80 <br />.93 <br />1.05 <br />1.29 <br />1.42 '1.54 1.66 <br />E=.018 <br />.035 <br />.054 <br />.072 <br />.086 .109 <br />.131 <br />.153 <br />.175 <br />.213 <br />.230 .247 .264 <br />40° T=.13 <br />.26 <br />.40 <br />.53 <br />.67 .80 <br />.93 <br />1.06 <br />1.20 <br />1.49 <br />1.64 1.79 1.94 <br />E=.023 <br />.046 <br />.070 <br />.093 <br />.117 .141 <br />.172 <br />.203 <br />.234 <br />.277 <br />.290 .315 .34145° <br />.' T=.15 <br />.30 <br />.44 <br />60 <br />-.76 .91 <br />1.06 <br />1.21 <br />1.37 <br />1.70 <br />1.87 2.042.21 <br />E=.030 <br />..060 <br />.093 <br />.119 <br />.153 .184 <br />.216 <br />254 <br />.289 <br />351 <br />.375 .411 .445 <br />