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II TABLE L - Tangents and Externals to a 1° Curve. <br />Chord =100 ft. <br />Angle . <br />Tangent <br />External <br />' Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />16 <br />50.00 <br />22 <br />-8° <br />400.66. <br />13.99 <br />16°' <br />754.32 <br />49.44 <br />10' <br />58.34 <br />.80 <br />101 <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 />80 <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 />_ <br />40 <br />788.26 <br />53.97 <br />50 <br />91.68 <br />.73 <br />50 <br />442.55 <br />17.07 <br />b0 <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 />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 />1.36 <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 />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 />8 <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 />526.48 <br />24.14 <br />'30 <br />'851.88 <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 />a <br />200.08 <br />3.49 <br />11 <br />551.70 <br />26.50` <br />r 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 />958.8 1 <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 />7.88 <br />18 ' <br />652.51 <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 />678.15 <br />39.99 <br />30 <br />3036.1 <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 />355.81 <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 <br />1098.4 <br />103.97 <br />50 <br />392.28 1 <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 <br />Angle <br />C.. 5° <br />10° 15° 20° 25° 30° 35° <br />40° 45° •50° <br />55° 60° <br />65° <br />70° <br />5o <br />T=.02 <br />.03 05 .06 .08 .10 -.11 <br />.13 .15 ..16 <br />.18 .20 <br />.21 <br />.23 <br />188.51 <br />E =:000 <br />.000 .001 .001 ..002 .002 '.002 <br />.003 '.003 .004 <br />.004 .004 <br />.005 <br />.005 <br />loo <br />T =.03 <br />.06 .09 .13 -.16 .19 .22 <br />.25 '.28' '.31 <br />:34 .38 <br />42 <br />.46 <br />1131.0 <br />E=.001 <br />.003 .004 .006 .007 .008 .009 <br />.011 .012 .014 <br />.015 .017 <br />.018 <br />.020 <br />15° <br />T =.04 <br />.10 :14 .19 .24 '.29 .34 <br />.39 .45 .51 <br />.53 .58 <br />.63 <br />.68 <br />30 <br />E =.003 <br />.007 .010 .014 .018 .023 .027 <br />.029 .032 .035 <br />.039 .043 <br />.047 <br />.051 <br />20o <br />T=.06.. <br />.13 .19 .26 .32 .39 .45 <br />.51 .58 .65 <br />..72 .79 <br />.84 <br />.90 <br />115.66 <br />E =.006 <br />.011 .017 .022 .028 1 .034 .038 <br />.045 .051 .057' <br />.063 .070 <br />.076 <br />.083 <br />2ro <br />T=:08 <br />.16.24' .33 .40 .49 .58 <br />.67 .75 .83 <br />.90 .99 <br />1.06 <br />AM <br />1917.1 <br />E =.009 <br />.018 .027 .036 .046 .056 .065 <br />.074 .083 .093 <br />.106 .120 <br />.127 <br />.135 <br />t <br />0 <br />MEI.E L Tangents `and Externals to a P Curve. ffi <br />Chord =100 f t. <br />Int.Int. <br />Angle <br />Tangent <br />External <br />Angle ' <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />:22° <br />1113.7 <br />107.24 <br />290- <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 />192.90 <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 />309.8 <br />U: <br />1165.7 <br />117.38 <br />80 <br />1535.3 <br />202.12 <br />87 <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 />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 />345.8 <br />25 <br />1270.2 <br />139.11 <br />82 <br />1643.0 <br />230.9 <br />89 <br />2029.0' <br />3486 <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 ;,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 />28 <br />1322.8 <br />150.71 <br />83 ' <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 />16 <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 />36: <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 />1450:1 <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 CVrie P. <br />Angle <br />10° <br />15° <br />'20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° 70° <br />_ <br />'Y00 T=.06 <br />.13 <br />.19 <br />.26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 <br />.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 <br />.051 <br />.057 <br />.063 <br />.070 <br />.076 ..083 <br />25o 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 />1.29 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 />35° 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 1.66 <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 />.53.67 <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 .44. <br />