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j II TABLE I. -.Tangents and Externals to ,a 19._Curve. <br />Chord =100 ft. <br />Inc.Tangent <br />Angle <br />Curve 5° .I <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 />W ' <br />.400.66 <br />'.13.00 <br />15"' <br />'754.32 <br />49 44 <br />.'1D' <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 />15.18 + <br />• 120, <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 />7SS.26 <br />53.97 <br />.50 <br />�J1.68. <br />-: .7& <br />50 <br />442.55 <br />17.07 <br />S0 <br />798:75 <br />55.13 <br />.09 <br />a3 <br />.16 <br />.19 <br />.22 <br />.25 <br />.23 <br />.31 <br />..34 <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 />6114 <br />"50 <br />141: 70. <br />-1.75 <br />50 <br />492.88 <br />21.1 0 <br />50 <br />847.78 <br />62,.38 <br />3 <br />150.04 <br />1.96 <br />10 <br />501.28 <br />21.59 <br />17 <br />850.30 <br />63.63 <br />10 <br />1'58.35 <br />2.19 <br />10 <br />509.65 <br />22.62 <br />10 <br />.1864:82 <br />64.90 <br />20 <br />166.72 <br />2.43 <br />20 <br />518.08 <br />23.38 <br />20'• <br />.573.3.5 <br />66.18 <br />30 <br />175.06 <br />'2.67 <br />-30 <br />526.48 <br />24.14 <br />30 <br />881.58 <br />67.47 <br />40 <br />183.40 <br />2.93 <br />40' <br />534.59 <br />24.91 <br />40 <br />890:41 <br />GS.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 />200.09 <br />3.49' <br />11 <br />551.70 <br />26.50 <br />18 <br />967.49 <br />71.42 <br />10 <br />205.43 <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 />28.07 <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 />76.56 <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 />5250A <br />G <br />5.46 <br />12 <br />602.21 <br />31.56 <br />19 ( <br />958.S1 <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 />51.09 <br />20 <br />266:86'- <br />6.21 <br />20 <br />619:07 <br />c33.35. <br />20:- <br />075.96 <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 />53.97 <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 />50-1 <br />1001.7 <br />56.90 <br />6 <br />300.25 <br />7.80 <br />13 <br />652.81 <br />37.07 <br />20 - <br />1010.3 <br />53.39 <br />10 <br />'303.64 <br />8.31 <br />--'10 <br />661.25 <br />38.03 <br />10 <br />1018.9 <br />89.89 <br />20 '.4316.99 <br />1402.0 <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 />103(3.1 <br />92.92 <br />40,.- <br />833'.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 />695.00 <br />42.00 <br />50 <br />1053.3 <br />96.61 <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 />358.51 <br />11.22 <br />10 <br />71.1.97 <br />44.07 <br />10 <br />1070.6 <br />09.16 <br />^0 <br />367.1.7 <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 />383.01 <br />12.85 <br />40.737:37 <br />1552.5 <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 />Curve 5° .I <br />10° <br />15° <br />20° <br />25°.I. <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />29° <br />1481.8 <br />70° <br />Angle5° <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 />.1570.9 <br />=297.7 <br />20 <br />1131:0 <br />110.57 <br />20 <br />T=.02. <br />.03 <br />-.05 <br />.06 <br />.08 <br />.10 <br />.11.13 <br />112.25 <br />.15 <br />.16 <br />.18' <br />30 <br />1389.4 <br />.23 <br />40 <br />E=.000 <br />.000 <br />.001 <br />.001 <br />.002 <br />.002 <br />.002 <br />.003 <br />.003 <br />.004 <br />.001 <br />.50 <br />T60-651 <br />.005 <br />10o <br />iT=.03 <br />OG <br />.09 <br />a3 <br />.16 <br />.19 <br />.22 <br />.25 <br />.23 <br />.31 <br />..34 <br />10 <br />1174:4 <br />.46 <br />10 <br />•E =.001 <br />.003 <br />.004 <br />.006 <br />.007 <br />-.008 <br />:,.009 <br />All <br />.012 <br />.014 <br />.015 <br />20 <br />1935.7 <br />.020 <br />15oT=.04 <br />1191.8 <br />1.10 <br />.14 <br />.19 <br />.2.4 <br />.29 <br />.34 <br />.30 <br />.4.5 <br />'.51' <br />.53 <br />40 <br />1571.0 <br />.68 <br />40 <br />E =.003 <br />.007 <br />.010 <br />.014 <br />.018 <br />.023 <br />.027 <br />.029 <br />.032 <br />'.035 <br />':039 <br />.043 <br />.047 <br />•051 <br />20° <br />T =.06 <br />.13 <br />.19 <br />.23 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 <br />.65 <br />.72 <br />-.70 <br />.84 <br />.90 <br />20 <br />1!=-.006 <br />.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.015 <br />.051 <br />:057 <br />.063 <br />.070 <br />.076 <br />.083 <br />25o <br />T=.08 <br />.16 <br />.24 <br />.33 <br />.40 <br />..40 <br />.58 <br />.07 <br />.75. <br />.83 <br />.90 <br />.99 <br />1.05 <br />1.14> <br />50 <br />E =.009 <br />.018 <br />.027 <br />'.036 <br />.GI6 <br />.056 <br />.065 <br />.074 <br />AD <br />.093, <br />:106 <br />•:120 <br />.127 <br />348.6 <br />TABLE.I. - Tangents and Externals to. a, P Currie. III <br />.Chord=100 ft. <br />Angle <br />Tangent <br />Faternal <br />.y°Kje <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />224 <br />1113.7 <br />107:241 <br />29° <br />1481.8 <br />188.'51i' <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 />.1570.9 <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 />1389.4 <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 />499.82] <br />50, <br />1907.9. <br />301.3 <br />23 <br />.1165:7 <br />117:•3S <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 />20G.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 />1.24.4.1 <br />40 <br />1571.0 <br />211.49• <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 />1559.0 <br />216:3, <br />-38 <br />1972•.9 <br />330.2 <br />10 <br />1226.6 <br />129.82' <br />10 <br />-1593.0 <br />218.7' <br />10 <br />1932.2 <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 />2000.0 <br />339.3 <br />40 <br />1252.8 <br />135.35! <br />40 <br />1624.9 <br />226.0p, <br />40 <br />2010.2 <br />342.4 <br />50 <br />1261:5 <br />,137.23 <br />50 <br />1633.9 <br />228.1 <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.D <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 />241.10 <br />40 <br />2066.6 <br />3G1.3 <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.n <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 />172.1.4 <br />253.9 <br />30 <br />2113.8 <br />377.5 <br />,:40 <br />1358.0 <br />155:72 <br />40 <br />1733.5 <br />r256.8 <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 />E27 <br />-1375:6 <br />162.51 <br />34 - <br />1751.7 <br />261':8 <br />41 <br />2142.2 <br />387.4 <br />10 <br />1384.4 <br />164.SG <br />10 <br />1760,5 <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 />269.4 <br />30 <br />2170.5 <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 />275.1 <br />42 <br />'2199.4 <br />407.6 <br />10 <br />1437.4 <br />177.55 <br />10 <br />1815.7 <br />..230.3 <br />10 <br />2209.0 <br />411.1 <br />20 <br />•1446.3 <br />179.72 <br />20 <br />1824.9 <br />'253.16 <br />., 20 <br />2218.6 <br />•414.5 <br />30 <br />1455.1. <br />181.59 ! <br />30 <br />.1534.1. <br />286.•4 <br />.30 <br />2228.1 <br />415.0 <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 />1552.5 <br />292.0 <br />50 <br />2247.3 <br />425.0 <br />Corrections to be Added (T =Tangent. E = External.) <br />Int. <br />Anglo: <br />Purve 5° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° 40' 11 <br />45° <br />50° <br />1 55° <br />60° 65° <br />70° <br />200 <br />T=:06 <br />.13 <br />.19 <br />.26 <br />.32 <br />.39' <br />45.51 <br />.53 <br />.65 <br />.72 <br />.79 .84 <br />.90 <br />E=.000 <br />.011 <br />'.017 <br />.022 <br />.028 <br />.034 <br />.038 .045 <br />.051 <br />.057 <br />.063 <br />.070 .076 <br />.083 <br />-250 , <br />T=.08 <br />.16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.55. .67 <br />.90 <br />.99 1.06 <br />1.14 <br />E=.009 <br />.018 <br />.027 <br />.036 <br />.046 <br />.056 <br />.065 .074.093 <br />.106 <br />.120 .127 <br />.135 <br />T=.10 <br />.19 <br />.29 <br />.39 <br />A 9 <br />.59 <br />.69 .79 <br />.99 <br />1.09 <br />1.20 1.29 <br />1.39 <br />E=.013 <br />.025 <br />.038 <br />.031 <br />.065 <br />'.073 <br />.090 .103.129 <br />.149 <br />.170 .170 <br />.188 <br />35° <br />T=:11 <br />.22 <br />.34 <br />.47 <br />.58 <br />.69.80 <br />'.93 <br />d.75.83 <br />.17 <br />1.29 <br />1.42 1.54 <br />1.66 <br />E=.018 <br />.035 <br />:054 <br />.072 <br />.086..109 <br />.131 .153.197 <br />.213 <br />.230 .247 <br />.264 <br />T=.13 <br />.26 <br />.40 <br />.53 <br />.67 <br />.80 <br />.93 1.00 <br />1.34 <br />1.491.64 <br />1.79 <br />1.94 <br />E=.023' <br />'.046 <br />.070 <br />:093 <br />.117 <br />.141 <br />.172 203.265 <br />277 <br />.290 .315 <br />- 341 <br />y45c <br />T=.15 <br />.30' <br />' .44 <br />`.60 <br />'..7G <br />.91 <br />1.08 1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 2.04 <br />2.21 <br />E=.030 <br />.060 <br />.093 <br />.119 <br />.153 <br />'.184 <br />.216. 254 <br />.289 <br />325 <br />.351 <br />.378 .411 <br />..445 <br />if. <br />