Laserfiche WebLink
II TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord=100 ft. . <br />Int. <br />-Angle <br />A <br />angen <br />tt <br />External <br />Int.`• <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />1° <br />50.00 <br />.22- <br />S. <br />400.66 <br />13.99 <br />.15° <br />754.32 <br />49.44 <br />101 <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 />15.15 ' <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 />60 <br />7.91.68 <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 />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 />3' <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 />.804:82 <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 />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 />4 <br />200.08 <br />3.49 <br />it <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 />5.53 <br />10 <br />610.G4 <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 />34.20 <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 />7.86 <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 />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 />333.91 <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 />Corrections to be Added (T =Tangent. E = External.) <br />Int. <br />'Angle <br />Curve 5° <br />10° <br />150 20° 25° <br />30° ° <br />35 <br />40° <br />45° 50° 1 55° <br />60° 65° <br />70° <br />5o <br />T=02 <br />.03 <br />.05 .06 .08 <br />.10 - .11 <br />.13 <br />'.15 .18 .18 <br />.20 .21- <br />-.23 <br />101 <br />E=.000 <br />.000 <br />.001 .001 .002 <br />.002 .002 <br />:003 <br />..003 .004 .004 <br />.004 .005 <br />.005. <br />10° <br />T =.03 <br />.06 <br />.09 .13 .16 <br />.19 .22 <br />.25 <br />.28 " .31 .34 <br />.38 . 2 <br />.46 <br />30. <br />E=.001 <br />.003 <br />.004 .006 .007 <br />".008 .009 <br />.011 <br />.012 .014 .015 <br />'.017 .018 <br />.020 <br />15o <br />T=.04 <br />.10 <br />.14 .19 .24 <br />.29 .34 <br />.39 <br />.45 .51 .53 <br />.58 .63 <br />.68 <br />50! <br />E =.003 <br />.007 <br />.010 .014 .018 <br />.023 .027 <br />.029 <br />.032 .035 .039 <br />•.043 .047 <br />.051 <br />20° <br />IE = 006 <br />011 <br />.017 .022 028 <br />.034 038 <br />.045 <br />051 .057 063 <br />.070 .076 <br />083 <br />250 <br />1 T=.08 <br />.16 <br />.24 .33 .40 <br />.49 .58 <br />.67 <br />.75 .83 .90 <br />.99 1.06 <br />1.14 <br />20 , <br />E=.009 <br />.018 <br />.027 .036 .046 <br />.056 .065 <br />.074 <br />.083 .093 .106 <br />.120 .127 <br />..135 <br />TABLE I.'= Tangents and Externals'to a-1°'Curve III <br />'Chord =100ft... . <br />-Int' <br />An <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />g <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />22° <br />11137 <br />107:24 <br />=29° <br />1481.8 <br />188.51 <br />36° <br />1861.7 <br />294:9 <br />101 <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 />50 <br />1209.2 <br />126.20 <br />50 <br />1580.0 <br />213.86 <br />50 <br />1963.6 <br />-327.1 <br />r 24 <br />.1217.9 <br />128.00 i <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 />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 f <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 :'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 y <br />1366:8 <br />160.76 ; <br />"50 <br />1742.6 <br />259.1 <br />50 <br />'2132.7 <br />384.1 <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 />201770:0 <br />267.2 <br />20 <br />2161,2 <br />394.1 <br />30 <br />1402.0 <br />1G9.04 <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 />1788.2'272:.6 <br />-40 <br />2180.3 <br />400.8 <br />" ''50 <br />1`419.7 <br />173.27 i <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 />J437.4' <br />177.55 <br />'10 <br />1315.7 <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 />-r 40' <br />3464.0 <br />184.08 <br />�40 <br />1843.3 <br />289.2 <br />-40 <br />2237.7. <br />421.4 <br />50 <br />1472.$ <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 Curve 56 10° 15° <br />40° <br />25' <br />30° <br />35° 40° <br />45° <br />-500 <br />55° <br />60° 650 <br />700 <br />71,20o f T=.06 .13 :19 <br />.26 <br />'.32 <br />.39 <br />.45 .51 <br />.58 <br />.65 <br />.72 <br />.79 .84 <br />.90 <br />-.E=.006. .011 .017 <br />.022 <br />.028 <br />:034 <br />.038 .045 <br />:051 <br />.057 <br />.OG3, <br />.070 .076 <br />.083 <br />2P% '`T=.08 ,:16 .24 <br />.33 <br />.40 <br />.49' <br />.58 .67 <br />.75 <br />.83 <br />.90 <br />.99 1.06 <br />1.14 <br />E =.009 .018 .027 <br />.036 <br />.046 <br />.056 <br />.065 .074 <br />.083 <br />.093 <br />.106 <br />.120 .127 <br />.135 <br />30° T=.1 .19 .29 <br />.39 <br />.40 <br />59 <br />.89 .79 <br />.89 <br />09 <br />1.09 <br />1.20 1.29 <br />1.39 <br />E=.013 .025 .038 <br />.051 <br />.065 <br />.078 <br />.090 .103 <br />.116 <br />.129 <br />.149 <br />.170 ..179 <br />.185 <br />35°' T=.11 .22 .34 <br />.47 <br />.58 <br />-.69 <br />.80. .93 <br />1.05 <br />1.17 <br />1.29 <br />1.42 1.54 <br />1.66 <br />E =.018 .035 .054 <br />.072 <br />.086 <br />.109 <br />.131 .153 <br />.175 <br />.197 <br />.213 <br />.230 .247 <br />.264_ <br />40° - T =.13 26 .40 <br />:53 <br />.67 <br />.80 <br />.93 1.06 <br />1.20 <br />1.34 <br />1.49 <br />1.64 1.79 <br />1.94 <br />E=.023 .046 .070 <br />.093 <br />.117 <br />.141 <br />.172 .203 <br />.234 <br />.265 <br />.277 <br />.290 .315 <br />.341 <br />45°: T=.15 .30 .44 <br />.60 <br />.76 <br />.91 <br />1.06 1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87' 2.04 <br />2.21 <br />E=.030 .060 .093 <br />.119 <br />'.153 <br />.154 <br />.216 .254 <br />.289 <br />.325 <br />.351 <br />.375 .411 <br />.445 <br />