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II TABLE I. - Tangents, and Externals to a,10 Curve. <br />Chnrd=100 ft_ <br />Angle <br />Tangent <br />External <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 />10' <br />409.,03 <br />14:58 <br />101 <br />762.80 <br />50.55 <br />20 <br />.66.67 <br />'..' .39 <br />20r <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 />` <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 />-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 />40.133.36 <br />1200.5 <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 />881.88 <br />67:47 <br />40 <br />183.40 <br />2.93 <br />40 <br />534.8 <br />24.91 <br />40 <br />890.41 <br />68.77 <br />b0 <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 />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 />4,76 <br />40 <br />585.36 <br />29.82 <br />40 <br />941.69 <br />76.86 <br />b0 <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 />" <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 />093.12 <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 />04.46 <br />b0 <br />342.08 <br />10.20 <br />S0 <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 />1001.9 <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 <br />1090.4. <br />103.97 <br />50 <br />392.28 <br />13.41 <br />50, <br />745.85 <br />48.34 <br />50 1 <br />1105.1 <br />105.60 <br />Corrections to be Added (T = Tangent. E = External.) <br />Int. Curve 5° <br />Angle <br />10° 15° 20° 25° 36° 35-'' 40° 45° 50° 55° 60° <br />65° <br />10° <br />5° T=.02 <br />.03 .05 O6 .O8 ,10_ ..11 ,.13 '.15 .16 .18 .20 <br />.21 <br />.23 <br />E=.000 <br />.000 .001 .001 .002 ,002 ,002 .003 .003 •:004 .004 .004 <br />.005 <br />.005 <br />10° T =.03' <br />.06 ,09_ .13 .18 .19 .22. .25 .28 .31 .34 .38 <br />.42 <br />.46 <br />E=-001 <br />.003 .004 .006 .007 ,008 .009 :011 .012 .014 ..015 .017 <br />.018 <br />.020 <br />15° T=.04 <br />•10 - .14 .10 .24 .29 .34 .39 .45 .51 .53 .58 <br />.63 <br />.68 <br />E=.003 <br />'-.007 .010 .014 .018 .023 .027 .029 .032 .035 '.039 .043 <br />.047 <br />.051 <br />20° T =.06 <br />.13 .19 .26 .32 .39 .45 .51 .58 .65 .72 .79 <br />'.84 <br />.00 <br />E=.006 <br />.011 .017 .022 .028 .034 .038 .015 .051 :057 ,063 .070 <br />.076 <br />.083 <br />25° T=.08 <br />.16 .24 .33 .40 .49 .5S .67 .75 ,.83 ,.90 .99 <br />1.06 <br />1.14 <br />E =.009 <br />.018 .027 .036 .048 .056 .065 .074 .083 .093 .106 .120 <br />.127 <br />.135 <br />L <br />TABLE L - Tangents and Externals to a 1° Curve. m <br />Chord =100 ft. <br />Angle.. <br />,yngle.. <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />Extenial <br />Int. <br />Angle <br />Tandent <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 />101 <br />.45 <br />108.90 <br />10' <br />1490.7 <br />190.74 <br />10' <br />•1870.9 <br />297.7 <br />20 <br />.1122.4 <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 />1550.0 <br />213.86 <br />50 <br />1963.6 <br />327.1 <br />24 <br />1217.9 <br />128.00 <br />81 <br />1589.0 <br />216.3 <br />38 <br />1072,9 <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 />2019:61 <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 />1348.6 <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 />235.0 <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 />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 />1354.4' <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 />301455.1 <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 />1352.5 <br />'292.0 <br />50 <br />2247.3 <br />425.0 <br />Corrections to be Added (T = Tangent.' ' E = External.) <br />Int. <br />Angle <br />Carve S° <br />10° <br />15° <br />20° <br />25' <br />30° <br />35° <br />1 40° 1 <br />45° <br />50° <br />55° 60° 1 65° 70° <br />20° <br />T=.06 <br />.13 <br />.19 <br />.26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 <br />.65 <br />.72 .79 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 '.070 .076 .083 <br />"25° <br />T=.08 <br />.16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.58 <br />.67 <br />.75 <br />.83 <br />.90 .99 1.08 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 ..120 .127 .135 <br />30° <br />T=.10 <br />.19 <br />.29 <br />.39 <br />.49 <br />.59 <br />.69 <br />.79 <br />.89 <br />.99 <br />1.09 1.20 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 ,170 .179 .188 <br />35° <br />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 1.42 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 .230 .247 .264 <br />40° <br />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 1.64 1.79 1.94 <br />E=.023 <br />.046 <br />.070 <br />W <br />.117 <br />.141 <br />.172 <br />.203 <br />.234 <br />.265 <br />.277 .290 .315 .341 <br />T=.15 <br />.30 <br />.44 <br />.60 <br />1 .76 <br />1 .91 <br />1.06 <br />1.21 <br />1.37 <br />1.52 <br />1.70 1.87 2.04 2.21 <br />,45° <br />_ <br />E =A30 <br />.060 <br />.093 <br />.119 <br />.153 <br />.184 <br />.216 <br />254 <br />:289 <br />.325 <br />.351 .378 .411 .445 <br />