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IT TAsl.$ 1. - Tangents and Externals to a 1° Curve. <br />Chord= 100 ft: <br />Int. <br />Angle <br />I Tangent <br />External <br />1nt. <br />Angle <br />Tangent <br />External <br />ping el <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 />.20 <br />10' <br />409.03 <br />14.58 <br />10' <br />762.80 <br />50.55 <br />20 <br />60.67 <br />.89 <br />20 <br />417.41 <br />15. 18 <br />20 <br />771.29 <br />51.68 <br />30 <br />75.01.49 <br />112.23 <br />30' <br />425.79 <br />15.80 <br />30 <br />779.77 <br />52,52 <br />40 <br />83.34 <br />..GI <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 />S7 <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 />53.70 <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 />G3.63 <br />10 <br />158.38 <br />2.19 <br />10 <br />509.68 <br />22.62 <br />10 <br />864.82 <br />G4.00 <br />20 <br />106.72 <br />2.43 <br />20 <br />518.08 <br />23.38 <br />20 <br />873.35 <br />GG.18 <br />30 <br />175.OG <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 />24.01 <br />40 <br />890.41 <br />G8.77 <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 />11 <br />551.70 <br />26.50 <br />18 <br />907.49 <br />71.42 <br />30 <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 />024.58 <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 />76.80 <br />50 <br />241,81 <br />5.10 <br />50 <br />593.79 <br />30.68 <br />50 <br />950.25 <br />78.20 <br />5 <br />250.16 <br />5.46 <br />12 <br />002,21 <br />31.50 <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 />260.80 <br />6.21 <br />20 <br />619.07 <br />33.35 <br />20 <br />975,90 <br />82.53 <br />30 <br />275.21 <br />6.61 <br />30 <br />627.50 <br />34.25 <br />30 <br />984.53 <br />83.97 <br />40 <br />253.57 <br />7.01 <br />40 <br />635.93 <br />35.18 <br />40 <br />993.12 <br />85.43 <br />50 <br />291.02 <br />7.43 <br />50 <br />644.37 <br />36.12 <br />50 <br />1001.7 <br />86.90 <br />6 <br />302-fS <br />7:86 <br />13 <br />G52.S1 <br />37,07 <br />20 <br />1010.3 <br />88.89 <br />10 <br />308.64 <br />8.31 <br />10 <br />661.25 <br />38.03 <br />10 <br />1018.0 <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 />93.92 <br />40 <br />333.71 <br />9.71 <br />40 <br />6SG.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 />1001•.9 <br />97.57 <br />40 <br />338. B1 <br />11.22 <br />10 <br />711497 <br />44.07 <br />10 <br />1070.6 <br />99.16 <br />20 <br />387.17 <br />11,75 <br />20 <br />720,44 <br />45. I2 <br />20 <br />1079.2 <br />100.75 <br />30 <br />375.64 <br />12.29 <br />30 <br />728.90 <br />48.18 <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 />105.0 <br />Corrections to be Added (T =Tangent. E = External.) <br />Int. <br />Angle Curve 5° 10° <br />15° 20° 25° 30° <br />35° 40° 45° <br />50° 55° 60°• <br />65° <br />70° <br />5° T=.02 :03 <br />E--000 .000 <br />.05 ,00 A8 .10 <br />.001 .001 Apt .002 <br />09 .13 .18 .19 <br />.OD4 .008 .007 ,ppb <br />.11 .13 .15 <br />.002 .003 .OD3 <br />22 25 38 <br />.009 .011 .012 <br />.16 .18 .20 <br />.004 .004 .004 <br />81.84 38 <br />.014 all; .017 <br />21 <br />.005, <br />. 2 <br />.018 <br />.23 <br />.005 <br />.46 <br />.020 <br />10° T= 08 <br />E-001 .003 <br />-.10-1 <br />15° T=.04 <br />E=.003 .007.010 <br />20° T= O6 13 <br />E =.006 .011 <br />.83 <br />.047 <br />.68 <br />MI <br />.9p <br />.083 <br />.14 ,19 24 29 <br />.014 .018 .023 <br />34 39 .45 <br />.027 .029 .032 <br />.51 .53 .58 <br />.035 .039 .043 <br />.19 .20 .32 .39 <br />.017 W .028 .034 <br />.45 .51 .68 <br />.038 .015 .051 <br />.65 .72 .79 <br />.057 .083 .070 <br />.84 <br />.070 <br />° T�.OB 16 <br />E�•WO .018 <br />24 33 ,40 .#9 <br />.027 .036 .046 .056 <br />1.08 <br />.127 <br />1.14 <br />.135 <br />58 87 .7b <br />.005 A .083 <br />.63 .96 .99 <br />.093 ,108 .120 <br />TABLE 1. - Tangents and Externals.to a 1° Curve. III <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 />22° <br />1113.7 <br />107.24 <br />29° <br />1481.8 <br />188.51 <br />36° <br />1861.7 <br />294,9 <br />10' <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 />112.23 <br />36 <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 />1898.0 <br />300.4 <br />50 <br />1157.0 <br />115.G6 <br />50 <br />1526.3 <br />199.82 <br />50 <br />1907.0 <br />300.3 <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 />le <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 />LO <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 />133.60 <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 />1281.5 <br />137.23 <br />50 <br />1633.9 <br />228.4 <br />50 <br />2019.6 <br />345.6 <br />25 <br />1270.2 <br />139.11 <br />32 <br />1643.0 <br />230.9 <br />30 <br />2029.0 <br />348.6 <br />10 <br />1279.0 <br />141.01 <br />10 <br />1052.0 <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 />1700.3 <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 />60 <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 />257.2 <br />20 <br />2161.2 <br />394.1 <br />30 <br />1402.0 <br />169.04 <br />30 <br />1779.1 <br />239.9 <br />30 <br />2470.8 <br />397.4 <br />40 <br />1410.9 <br />171.15 <br />40 <br />1788.2 <br />272.0 <br />40 <br />2180.3 <br />400.3 <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 />407.0 <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 />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 />lilt . <br />Angle . <br />I Curve S° 10° <br />15° <br />20° <br />25° <br />30° <br />55" 60° 65° 70° <br />35° 40° 45°[.,665 <br />21° <br />T=.Ofi 13 <br />.19 <br />.25 <br />.32 <br />39 <br />.45 .51 .5$ .72 .79 84 .SO <br />E =.G00 .011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 .015 .051 .053 .070 .076 .083 <br />25° <br />TT=.08 .16 <br />.24 <br />.33 <br />.40 <br />A9 <br />.58 .67 .75 .90 .991.06 1.14 <br />E=.009 .018 <br />.027 <br />.030 <br />.045 <br />.056 <br />.005 .074 .083 .106 .12Q .127,.135 <br />30° <br />T=.10 .19 <br />.29 <br />.39 <br />1.49 <br />.69 <br />.69 .79 .891.09 1.20 1.29 130 <br />E=.013 .025 <br />.038 <br />.051 <br />..065 <br />.078 <br />.030 .103 .116 .149 .170j':'17'9 •.188 <br />35° <br />T=.11.22 <br />.34 <br />:47 <br />.56 <br />.69 <br />.80 .93 1.05 1.17 1.20 1.42 1.54 1.66 <br />E =.018 .035 <br />.054 <br />.072 <br />.086 <br />.100 <br />.131 .153 .175 .107 .213 .230 .247 264 <br />40° <br />T.=.13 .26 <br />.40 <br />.53 <br />.67 <br />.80 <br />.93 1.00 1.20 1.341.49 1.64 1.79 1.94 <br />E=.023 .040 <br />T=.15 .30 <br />.070 <br />.093 <br />.117 <br />.141 <br />.172 .203 .234 .265 377 .200 .315 .341 <br />45° <br />.44 <br />00 <br />.70 <br />91 <br />1.06 1.21--f-.37-1.52 1.70 1.87 2.04 2.21 <br />E=.0.30 XGO <br />.093 <br />.119 <br />.153 <br />.184 <br />.216 .254 .289 .325 .351 .370 .411 .445 <br />