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II TABLE I. - Tangents and Externals to a 1° 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 />45° 50° <br />55° 60° 65° <br />70° <br />Angle <br />1481.8 <br />188.51 <br />36° <br />1861.7 <br />.25° <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 />101, <br />409.03 <br />14:58. <br />,' lOd: <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 />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 />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 />"'58.70 <br />20 <br />.116.68 <br />1.19 <br />20 <br />467.71. <br />19.06 <br />20 <br />822:25 <br />321.1 <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_•20.45 <br />213.86 <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,,66.18 <br />339.3 <br />30 <br />175.06 <br />2.67 <br />30 <br />526.48 <br />24:14 <br />30 <br />'881.867.47 <br />'(68.77 <br />40 <br />183.40 <br />2.93 <br />40 <br />1633.9 <br />•-24.91 <br />40 <br />890:41 <br />345.5 <br />50 <br />191.74 <br />3.21 <br />50 <br />_534.89 <br />543.29, <br />25.70 <br />50 <br />89,8.95 <br />70.09 <br />4 <br />200.`08• <br />3.493 <br />11• <br />551.70 <br />26.50 <br />18 ?'-907.49 <br />2038:4 <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 />74.32 <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 />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 />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 />256.5 <br />", 30 <br />•984.53 <br />83.97 <br />40 <br />283.57 <br />7.01 <br />40 <br />.635.93 <br />_34.26 <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 />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 />211061.9„ <br />2209.0 <br />.'97.57 <br />10 <br />.1446.3 <br />11.22 <br />10 <br />711.97 <br />44.07 <br />16 <br />1070:6 <br />99.16 <br />20 <br />.358.81. <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 />186.29 <br />40, <br />737.37. <br />47.25 <br />,;"40 <br />( 1096.4 <br />,.103.97 <br />50 <br />392:28 <br />.12.85,, <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 />Curve 5° <br />10° <br />15° <br />20° <br />External <br />30° <br />35° <br />40° <br />45° 50° <br />55° 60° 65° <br />70° <br />Angle <br />1481.8 <br />188.51 <br />36° <br />1861.7 <br />.25° <br />; <br />1122.4 <br />"108.90 <br />- 101 <br />1490:7 <br />-190.74 <br />50 <br />T =.02 <br />E =.000- <br />03 <br />.000 <br />.05 <br />.001 <br />.06 <br />.001 <br />.08, <br />'.002 <br />:10 <br />.002 <br />:.11 <br />=•.002 <br />13 <br />'.003 <br />.15 .16 <br />.003 .004 <br />.18 .20 .21 <br />.004 .004 :005 <br />.23 <br />.005 <br />YO° <br />T =•03 <br />E-.001 <br />O6 <br />.003 <br />.09 <br />.004 <br />.13 <br />:006 <br />.16 <br />.007 <br />.19 <br />.008 <br />'.22 <br />.009 <br />.25 <br />.011 <br />.28 ',.31 <br />'.012 .014 <br />.34 .38 .42 <br />.015 .017 .018 <br />.46 <br />.020 <br />15° <br />T=.04 <br />E=.003 <br />.10 <br />.007 <br />:14 <br />.010 <br />.19 <br />.014 <br />.24 <br />.018 <br />-.29 <br />.023 <br />:34 <br />.027 <br />:39 <br />X29 <br />.45 .51 <br />.032 .035 <br />.53 .58 .63 <br />'.039 .043 .047 <br />.68 <br />:051 <br />20° <br />T =.O6 <br />E=. 006'" <br />:c13` <br />.011 <br />.19 <br />:017 <br />.26 <br />.022 <br />.32 <br />.028 <br />.39 <br />.034 <br />.45 <br />.038 <br />.51 <br />.045 <br />.58 ".65• <br />.051 .057 <br />,.72= .79 .84 <br />'.063 .070 .076 <br />.90 <br />X83 <br />10 <br />T=•O8 <br />119.12 <br />. 10 <br />1544.2 <br />.40 <br />:49 <br />.58 <br />.67 <br />.75, .83 <br />.90. .99 1.06 <br />'.14 <br />25° <br />E =.009 <br />.16 <br />.018 <br />.24 <br />.027 <br />.33 <br />.036 <br />.046 <br />.056 <br />.065 <br />:074 <br />.083 .093 <br />.106 .120 .127 <br />135 <br />TABLE L - Tangents andtERteinals to a 1° Curve m <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 />Tan ent <br />g <br />External <br />22°"�� <br />1113.7 <br />107.24 <br />29° - <br />1481.8 <br />188.51 <br />36° <br />1861.7 <br />.294.9 <br />•'alY <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 ..1148.4 <br />.75 <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 />023 <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 />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 />28 <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 />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 />,440 <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 />.-To <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 />292.0 <br />50 <br />2247.3 <br />425.0 <br />Corrections to be Added (T =Tangent. E = External.) <br />Int. <br />9ngle Curve 5° <br />10° <br />15° 20° <br />25° <br />30° <br />35° 40° <br />45°' <br />50° <br />'55°. 60° <br />65°:.70°, <br />20° T=:00 <br />.13.19 <br />.20 <br />.32--.39 <br />.45 ,51 <br />.58 <br />.65 <br />.72 .79 <br />.84, <br />E=.000 <br />-011 <br />.017 .022 <br />.028 <br />.034 <br />.038 .045 <br />'.051 <br />.057 <br />.063 .070-.076 <br />.90 <br />.083 <br />25-- - ' T=,08 <br />.16 <br />.24 .33 <br />.40 <br />A9 <br />.58 ,67 <br />.75 <br />.83 <br />.90.99 <br />1.06 1.14 <br />E=.009 <br />.018 <br />.027 .036 <br />.046 <br />.056 <br />.065 .074 <br />.083 <br />.093 <br />.106 .120 <br />.127 :135 <br />30° ' ' T=.10 <br />.19 <br />.29 .39 <br />.49 <br />.59 <br />.69 .79 <br />.89 <br />.99 <br />1.09 1.20 <br />1.29 1.39 <br />E=.013 <br />.025 <br />.038 .051 <br />.065 <br />.078 <br />.090 .103 <br />.116 <br />.129 <br />.149 .170 <br />.179 ..188 <br />35° T=Al <br />.22 <br />.34 .47 <br />.58.69 <br />.80 .93 <br />1.05 <br />1:17 <br />1.29 1.42 <br />1.54 1.66 <br />E=.018 <br />.035 <br />.054 .072 <br />.086 <br />.109 <br />,131 .153 <br />.175 <br />.197 <br />.213 .230 <br />.247 .264 <br />400 T=13 <br />.26.40 <br />.53 <br />.67 <br />.80 <br />.93 1.06 <br />1.20 <br />1.34 <br />1.49 164 <br />1.79 1.94 <br />=.023 <br />.046 <br />.070 .093 <br />.117 <br />.141 <br />.172 .203 <br />.234 <br />.265 <br />.277 .290 <br />.315 .341 <br />45?=.15 <br />rE=.030 <br />.30 <br />.44 .60 <br />.76 <br />.91 <br />1.06 1.21 <br />1.37 <br />1.52 <br />1.70 1.87 <br />2.04 2.21 <br />.060 <br />.093 .119 <br />.153 <br />.184 <br />.216 .254 <br />.289 <br />.325 <br />.351 .378 <br />.411 .445 <br />U <br />