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II - TABLE I. - Tangents, -and Externals to a 1° Curve. <br />Chord+=100 f t_ <br />Angle . <br />Tan ent <br />g <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />A Int. <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 />-10'-'762.50 <br />70°- <br />50.55 <br />20 <br />G6.67 <br />.39 <br />20 <br />415.41 <br />15.18 <br />20 <br />:16 <br />51.6S <br />30 <br />75.01 <br />.49 <br />30 <br />425.79 <br />.15.50 <br />30 ". <br />,771.29- <br />779.77 <br />52.52 <br />40 <br />83:34 <br />.61 <br />40' <br />434.17' <br />16.43 <br />40 <br />788.26 <br />53x97 <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 />505.25 <br />56.31 <br />10•''108:35" <br />.014 <br />1.02 <br />.10 " <br />.459.32 <br />18.38 <br />10 <br />513.7.5 <br />•.57..50 <br />20x- <br />116.68_ <br />1:19 <br />20. <br />467.71 <br />19.•06 <br />.53 <br />522.25 <br />58.70 <br />30. <br />125.02 <br />1.36 <br />30 <br />476.10 <br />.19.75 <br />.20 <br />30 <br />530.76 <br />59:91 <br />40 <br />-133.36 <br />1.55 <br />40 <br />454.49 <br />20.45 <br />40 <br />539.27 <br />61.14 <br />50 <br />141.70: <br />1.75 <br />50 <br />492.88. <br />21:16 <br />50 <br />547.78 <br />62.38 <br />3!• <br />150.04 <br />1.96 <br />10' <br />501:25 <br />21.89 <br />17 <br />.85G.30 <br />63.63 <br />10 <br />158.38 <br />2.19 <br />10 <br />509.68 <br />22.6'2 <br />10 <br />564.82 <br />64.90' <br />20 <br />166.72 <br />2.43 <br />20 <br />518.08 <br />23.35 <br />20 <br />873.35. <br />GG. is <br />30 <br />175.06 <br />2.67 <br />30 <br />526.48 <br />24-14 <br />'30' <br />851.88 <br />G7:47 <br />40 <br />153.40 <br />2.93 <br />40 <br />534.89 <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 />200.08 <br />3.49, <br />11 <br />551.70 <br />26.50 <br />1S <br />907.49 <br />71.42 <br />10 <br />208:93 <br />3.79 <br />- 10 <br />560.11 <br />27.31 <br />l0 <br />91G.03 <br />72.76 <br />20 <br />216.77 <br />4.10 <br />20 <br />5GS.53 <br />28.14 <br />20 <br />9241 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 />29.52 <br />'40., <br />941.69 <br />7G. 86 <br />50' <br />241'. S1 <br />5.10 <br />50 <br />593.79 <br />W:68 <br />50 <br />950.25 <br />78.2G <br />5 <br />250.16 <br />5.46- <br />12 <br />602.21 <br />31.56 <br />19 <br />95S.51 <br />79.67 <br />10 <br />258.51 <br />5.53 <br />10' <br />610.64 <br />3.2.45 <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 />G:61 <br />30 <br />627.50 <br />34.26 <br />.30 <br />984.53 <br />_ <br />53.97 <br />40 <br />253.57 <br />7.01 <br />40 <br />635.03 <br />3511S <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 />8G.90 <br />6 <br />300.28' <br />7.86 <br />13 <br />652.81 <br />37.07. <br />20 ' <br />1010.3= <br />SS.39. <br />10 <br />'308.64 <br />8.31 <br />10 <br />661:25 <br />38.03 <br />•10 <br />1018.9_ <br />89.S9 <br />20, <br />3165.99 <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 />67S. 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 />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.$7 <br />10 <br />358.81 <br />11.22 <br />10 <br />711.97-144 <br />.07 <br />10 <br />1070. G. <br />99.16 <br />20- <br />367:17 <br />11.75 <br />20% <br />?20.44 <br />45.12 <br />20 <br />105.9.2. <br />.100.75 <br />30 <br />375.54 <br />12.29 <br />30 <br />72S.00 <br />_ 46:15 <br />30 <br />1087.8 - <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. SS <br />45.34 <br />50 <br />1105.1. <br />105.60 <br />Corrections to be Added (T =Tangent. E=External.) ` <br />Int. <br />Tangent <br />Exteinal <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 />Angl e Curve 5° 10° <br />I5° <br />120° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70°- <br />5o T=.0203 <br />'.05 <br />.06 <br />.08 <br />:10 <br />.11 <br />.13 <br />:15 <br />:16 <br />.18 <br />.20 <br />.21 <br />.23 <br />E=.000 .000 <br />.001 <br />.001 <br />.002 <br />.002 <br />-.002 <br />.003 <br />.003 <br />'.004 <br />.004 <br />.004 <br />.005 <br />.G05 <br />10° T =.03 .06 <br />.09 <br />1 .13 <br />1 .16 <br />.19 <br />.22 <br />.25 <br />.28 <br />.31 <br />.34 <br />.38 <br />.42 <br />.46 <br />E =.001 .003 <br />.004 <br />.006 <br />.007 <br />.008 <br />.009 <br />.011 <br />.012 <br />.014 <br />.015 <br />.017 <br />.018 <br />.020 <br />15° T=.04 .10 <br />.14 <br />..19 <br />.24 <br />.29 <br />.34 <br />.39 <br />:'5 <br />.51 <br />.53 <br />.58 <br />.63 <br />.68. <br />E=.003 .007 <br />.010 <br />.014 <br />.018 <br />.023 <br />.027 <br />.020 <br />.032 <br />.035 <br />:039 <br />.043 <br />.047 <br />.051 <br />')p° T=.06 .13 <br />.19 <br />.26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 <br />.65 <br />.72 <br />.791 <br />84 <br />.90. <br />E=.066 .011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.075 <br />.051 <br />'.057..063 <br />10 <br />.070 <br />.076 <br />.683 <br />25° T=.08 .16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.°8 <br />.67 <br />.'S <br />..83 <br />.90 <br />19 <br />1:06 <br />1.14 <br />E =.009 .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 />n -i <br />Fm <br />TABLE.I. - Tangents and Externals to a 1° Curve. In <br />Chord =100 ft. <br />Int. <br />Angle ' <br />Tangent <br />Exteinal <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 />112.25 <br />30 <br />1505.5 <br />195.25 <br />30 <br />1889.4 <br />303.5 <br />40-, <br />1148.47 <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 />115.6G <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 />19.54.3 <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 />241 <br />1217.9 <br />128.00 <br />31- - <br />1589.0 <br />216.3 <br />38 <br />1072.0, <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 />1091.5, <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 />1G33.9 <br />225.4 ' <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 />345.6 <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 />1601.0 <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 />2070.0 <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 />1331.0- <br />152.G9 <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 />15G.70 <br />30 <br />1724.4 <br />253.9 <br />30 <br />2113.8 <br />377.5 <br />40 <br />1358.0. <br />15S.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 />1742.0: <br />259.1 <br />50 <br />2132.7' <br />384.1 <br />X27-- <br />1375.6 <br />162.81 <br />34 <br />17:51.7 <br />261.8 <br />41- <br />2142:2 <br />387.4 <br />-10 <br />1384.4 <br />164.86 <br />10 <br />176,0.8 <br />264.5 <br />10 <br />2151.7' <br />390.7 <br />r 20 <br />1393.2 <br />166.95 <br />20 <br />1770.0. <br />207.2 <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 />171.1.5 <br />40 <br />178S.2. <br />272.6 <br />40 <br />2180.3 <br />400.8 <br />1 50 <br />14.19.7 <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 />1SOG.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 />1440:3. <br />179:72 <br />20 <br />1824.9 <br />283.6 <br />20 <br />2218. G' <br />414.5 <br />30 <br />1455.1 <br />181.59 <br />.. 30. <br />IS34.ri <br />2SGA <br />30 <br />2228.1 <br />418.0 <br />40 <br />1464.0: <br />154.08 <br />..40. <br />1843.31 <br />259.2 <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 />Int. <br />Angle <br />Curves- <br />10° <br />15° <br />1 20° <br />25° <br />30°_ <br />35° <br />40° <br />45° <br />50° 1 <br />55° 1 <br />60° <br />1 65° <br />70° <br />20°= <br />' T=.06 <br />.13 <br />.19 <br />26 <br />.32 <br />.39 <br />.45 <br />.'1 <br />.53'..65 <br />.72 <br />.79 <br />.84 <br />.90 <br />E=.000 <br />.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.045 <br />.051 <br />.057 <br />.063 <br />.070 <br />.076 <br />.083 <br />25a._ <br />'T=.08 <br />.16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.53 <br />.67' <br />.75 <br />.83 <br />.90 <br />.99 <br />1.06 <br />1.14 <br />- <br />E=.009 <br />.018 <br />.027 <br />.036 <br />.046 <br />.056 <br />.055 <br />.074 <br />.083 <br />.093 <br />.106 <br />.120 <br />.127 <br />J65 <br />Sp° <br />T=.10 <br />.19 <br />.29 <br />.39 <br />.49 <br />.59 <br />.G9 <br />.79 <br />.80 <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 />.078 <br />.090 <br />.103 <br />.116 <br />.129 <br />.1.19 <br />.170 <br />.179 <br />.188 <br />35° <br />T=.14 <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 />_ <br />E=.018 <br />.035 <br />=.054 <br />.072 <br />.080 <br />.109 <br />.131 <br />.153 <br />.175 <br />.197 <br />.213 <br />.230 <br />.247 <br />.264 <br />40° <br />T=.13 <br />20 <br />AO <br />.53 <br />.67 <br />.80 <br />.03 <br />11.06 <br />1.20 <br />1.34 <br />1.491.64 <br />179 <br />1.04 <br />E=.023 <br />.046 <br />.070 <br />.093 <br />.117 <br />.141 <br />.172 <br />.203 <br />.234 <br />26.5 <br />.277 <br />.290 <br />315 <br />..341 <br />45° <br />T=.15 <br />.30 <br />:44 <br />60 <br />.70 <br />.91 <br />LOG <br />11.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 <br />12.04 <br />2.21 <br />E=.030 <br />.060 <br />.093 <br />.119 <br />.153 <br />.181 <br />.216 <br />254 <br />.280 <br />.325 <br />.351 <br />.378 <br />.411 <br />.445 <br />