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II TABLE I. - Tangents and Exter gals to a 1' Curve. <br />Chnrd-100 ft.- <br />Int. <br />t_ <br />Angle <br />Tangent <br />External <br />-,Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />70° <br />50.00, <br />22 <br />8' <br />400.66 <br />.13.99 <br />16°' <br />•754.32 <br />49.44 <br />10' <br />58.34 <br />.30 <br />10' <br />409.03 <br />14.58 <br />10' <br />762.50 <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 />X75.01 <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 />0 <br />450.03 <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 .''822.2:5 <br />.070 <br />5S.70 <br />...30 <br />125.02 <br />1.36 <br />30,'476.10 <br />.75 <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 />, 20.4.5 <br />40 <br />..839:27 <br />61.14 <br />50 <br />141.70 <br />1:75 <br />50. <br />49288 <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 />-21.59 <br />17' <br />856.30 <br />63.63 <br />10 <br />15S.3S <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. 3.5 <br />66. IS <br />30 <br />175.06 <br />2.67 <br />30 <br />526.48 <br />24.14 <br />,20 <br />30 <br />881.85 <br />67.47 <br />40 <br />183.40 <br />2.93 <br />140, <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 />3.40 <br />-11 <br />551.70 <br />26.50 <br />18 <br />907.49 <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 />28:97•' <br />30 <br />933.13 <br />75.49 <br />40 <br />233.47 <br />4.765. <br />40 <br />585.36. <br />29.82 <br />40 <br />941.69 <br />76.86 <br />50 <br />241.St <br />5.10 <br />50 <br />.593.79' <br />30.68 <br />50 <br />950.25 <br />78.26 <br />26, ' <br />3322.8' <br />r <br />33 <br />1697.2 <br />246:1 <br />40 <br />2035.4 <br />367.7 <br />6 <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 />266.56 <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 />0.61 <br />30 <br />627:50 <br />34.26 <br />30 <br />934.53 <br />83.97 <br />40 <br />283.57 <br />T.01 <br />40 <br />635.93 <br />35.18' <br />40 <br />993.12 <br />55.43 <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 />300.23 <br />7.85 <br />13 <br />652.81 <br />37.07 <br />20 <br />1010.3 <br />58.39 <br />10 <br />308.64 <br />- 5.31 <br />10, <br />661:25- <br />33.03 <br />10 <br />1015.9 <br />59.89 <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 />3.12.08 <br />10.20 <br />50 <br />695.06 <br />42.00 <br />50 <br />1053.3 <br />96.Oi <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 />09.16 <br />20 <br />367.17 <br />11.75 ' <br />20 <br />720:44 <br />45.12 <br />20 <br />1079.2,. <br />418.0 <br />30 <br />375.54 <br />12.20 <br />30. <br />725.90 <br />'46.18 <br />30 ' <br />1OS7.8 <br />.100.75 <br />102.35 <br />40 <br />383.91 <br />12.55 <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• Curve 5° 10° 15° 20° 25° <br />Angle <br />30° <br />`350 <br />40° <br />45° <br />50° <br />55°. <br />60' <br />65' <br />70° <br />5o T =.02 .U3 .OS .06.03 <br />.10 <br />.11 <br />.13 <br />.15...16 <br />36° <br />.18 <br />.20 <br />.21 <br />.23 <br />E =.000 .000 .001 .001' .002 <br />.002 <br />.002 <br />.003 <br />.003 <br />.001 <br />.004 <br />:004 <br />.005 <br />.005 <br />10° T=.03 .06.09 -:13 .16 <br />.19 <br />.22 <br />.25" <br />• 18 <br />.31 <br />.34 <br />.38 <br />.42 <br />.46 <br />E=.001 .003 ,.004 .006 .007 <br />.008 <br />.009 <br />.011 <br />.012 <br />.014 <br />.015 <br />•.017 <br />.018 <br />.020 <br />15° T=.04 .10 .14.19 .24 <br />.29 <br />.34 <br />.39 <br />A5 <br />.51 <br />- ..53 ' <br />.58 <br />.63 <br />.63 <br />E=.003 '.007 .010 .014 .018 <br />.023 <br />.027 <br />.029 <br />.032 <br />.035 <br />.039 <br />.013 <br />.047 <br />.051 <br />20° T=.06 .13 .19 26 .32 <br />.39 <br />.45 <br />.51 <br />.58 <br />.65 <br />.72 <br />-.79 <br />.84 <br />. 90 <br />E =.006 .011 .017 .0221 .02S <br />.034 <br />.038 <br />.015 <br />.051 <br />.057 <br />.063 <br />.070 <br />.070 <br />.083 <br />250 T=.08 .10 24 .33 .40 <br />.49 <br />.58 <br />.67 <br />.75 <br />.83 <br />.00 <br />.00 <br />1.00 <br />1.14 <br />E =.009 .018 .027 .036 .036 <br />.056 <br />.065 <br />.074 <br />.083 <br />.093 <br />.106 <br />.120 <br />.127 <br />.135 <br />1 <br />n <br />TABLE L - 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 />22°. <br />1-113.7 <br />107.24 <br />29° <br />1481.8 <br />158.51 <br />36° <br />1861.7 <br />294.9 <br />10' <br />1t22.4 <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 />1580.1 <br />300.6 <br />30 <br />1139.7 <br />112.25 <br />. 30 <br />1508.5 <br />195.25 <br />30 <br />1SS9.4 <br />303.5 <br />40 <br />1148.4 <br />113.95 <br />140 <br />1517.4 <br />197.53 <br />" 40 <br />1895.6 <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 />117.33 <br />30 <br />1:.35.3 <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 />2U <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 />60 <br />•1963.6 <br />327.1 <br />24 <br />1217.9 <br />128.00 <br />31 <br />1559.0 <br />216.3 <br />3S <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 />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 />2000.9 <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 />3270.2 <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 />144.55 <br />30 <br />1670.0 <br />238.4 <br />30 <br />2057.2 <br />355.1 <br />40 <br />1305.3' <br />146.70 <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 />1083.1 <br />243.5 <br />50 <br />2076,0 <br />364.5 <br />26, ' <br />3322.8' <br />150.71 <br />33 <br />1697.2 <br />246:1 <br />40 <br />2035.4 <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 />,1359.0 <br />155.72 <br />40 <br />1733.5 <br />256.5 <br />40 <br />2123.3 <br />380.8 <br />50 <br />1306.8 <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.S1 <br />34--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 />169.0.1 <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 />1425.6 <br />175.41 <br />35 <br />1506.6 <br />278.1 <br />42 <br />2109.4 <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 />30 <br />1455.1 <br />181.59 <br />30 <br />1534.1 <br />286.4 <br />30 <br />2228.1 <br />418.0 <br />40 <br />1464.0 <br />184.08 <br />40 <br />1343.3 <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 />Ant. <br />Angle <br />Curie S° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />650 <br />700 <br />20o <br />T=.06 <br />.13 <br />.19 <br />.26 <br />.32 <br />.39 <br />.45 <br />51 <br />.58 <br />.65 <br />.72 <br />.79 <br />.84 <br />.90 <br />E =.006 <br />.011 <br />.017 <br />.022 <br />.023 <br />.034 <br />.038 <br />.045 <br />.051 <br />.057 <br />.063 <br />.070 <br />.076 <br />.083 <br />25° <br />T=.08 <br />.16 <br />.24 <br />.33 <br />.40 <br />.40 <br />.58 <br />.67 <br />.75 <br />.83 <br />.90 <br />.99 <br />1.06 <br />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 <br />.120 <br />.127 <br />.135 <br />30° <br />T=.10 <br />.10 <br />.29 <br />.39 <br />.49 <br />.59 <br />.69 <br />.79 <br />.89 <br />.99 <br />1.09 <br />1.20 <br />1.29 <br />1.39 <br />E =.013 <br />.025 <br />.038 <br />.051 <br />,065 <br />.075 <br />.090 <br />.103 <br />.116 <br />.129 <br />.149 <br />.170 <br />.179 <br />.188 <br />35o <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 <br />1.42 <br />1.54 <br />1.66 <br />E =.O1S <br />035 <br />.054 <br />.072 <br />.086 <br />`.109 <br />.131 <br />.153 <br />.175 <br />.197 <br />.213 <br />.230 <br />.247 <br />.264 <br />40o <br />T=.13 <br />.26 <br />1 .40 <br />.53 <br />.67 <br />.80 <br />.93 <br />1.06 <br />1.20 <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 <br />.203 <br />.234 <br />.`265 <br />.277 <br />.290 <br />.315 <br />.341 <br />450 <br />T=.15 <br />.30 <br />.44 <br />.60 <br />..76 <br />1 .91 <br />11.06 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 <br />2.04 <br />2.21 <br />E=.030 <br />.060 <br />.093 <br />.119 <br />.153 <br />.184 <br />.216 <br />.254 <br />.289 <br />.325 <br />.351 <br />.378 <br />.411 <br />.445 <br />A <br />