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II TAs1,s I. - Tangents -and Externals to a 1° Curve. <br />Chord =100 f t.- <br />Int.�- <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />�; <br />Tangent <br />: - -- <br />External <br />' Int. <br />Angle <br />Tangent <br />External <br />1. <br />50.00 <br />.22 <br />S. <br />400.GG <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' <br />762.80 <br />50.55 <br />066.67 <br />.003 <br />.39 <br />20 <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 />.G1 <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 <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 />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 />1G6.72 <br />2.43 <br />20 <br />,518.08 <br />, 23.38 <br />20 <br />873.35 <br />66.18 <br />30 <br />175.00 <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 />24.91 <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 />25' <br />1270.2 <br />139.11 <br />32 - <br />1643.0 <br />230.9 <br />30 <br />2029.0 <br />348.6 <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 />50 <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 />10 <br />610.64 <br />',32:45 <br />10 <br />967.38 <br />81.09 <br />20 <br />2G6.86 <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 />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 />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 />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 />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 />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 />393.91 <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 />-105.60 <br />Corrections to be Added,,(T =Tangent. E = External.) <br />Int.Curve <br />Angle <br />5° <br />10° 1 15° <br />1 20° <br />254: '30° : <br />35°1 <br />__40° <br />45° <br />50° 55° 60° <br />65° <br />70° <br />5o <br />T=.02 <br />.03 .05 <br />.06.08' <br />.10 <br />.11 <br />.13• <br />..15 <br />.16 .18 .20' <br />.21 <br />.23 <br />.45 <br />E=.000 <br />.000 .001 <br />.001 <br />.002 .002 <br />.002 <br />.003 <br />..003 <br />.004 .004 .004 <br />.005 <br />.005_ <br />loo <br />-Y= 0-3 <br />.O6 :09 <br />.13 <br />.16 .19 <br />-.22 <br />.25 <br />.28 <br />.31 .34 7. 8 <br />-.42- <br />.46 <br />` 303.5 <br />E=.001 <br />.003 .004 <br />.006 <br />.007 .008 <br />'.009 <br />.011 <br />.012 <br />.014 .015 '.017 <br />.018 <br />.020 <br />15o <br />T=.04 <br />.10 .14 <br />.19 <br />.24 .29 <br />.34 <br />.39 <br />.45 <br />.51 :53.58 <br />.83 <br />.68 <br />30 <br />E =!003 <br />.007 .010 <br />.014 <br />.018 .023 <br />.027 <br />.029 <br />.032 <br />.035 .039 :.043 <br />.047 <br />.051 <br />200 <br />T :06 <br />.13 .19 <br />.26 <br />.32 .39 <br />.45 <br />.51 <br />.58 <br />'.65 .72 .79, <br />.84 <br />.90 <br />1935.7 <br />E =.006 <br />.011 .017 <br />.022 <br />.028 .034 <br />.038 <br />.045 <br />.051 <br />.057 .063 .070 <br />.076 <br />.083 <br />25' <br />T=.08 <br />.16 .24 <br />.33 <br />.40 .49 <br />.58 <br />.67 <br />.75 <br />.83 .90 .99 <br />1.06 <br />1.14 <br />126.20 ` <br />E=.009 <br />.018 .027 <br />.036 <br />.046 .056 <br />.065 <br />.074 <br />.083 <br />.093 .106 .120 <br />.127 <br />.135 <br />TAIILE I. - Tangents and Externals to a 1° Curve. ,III <br />Chord =100 f t. <br />Int.Int. <br />Angle " <br />Tangent <br />External <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 />101 <br />1122.4 <br />108.90 <br />.101_ <br />.45 <br />190.74 <br />10' <br />1870.9 <br />297.7 <br />20 <br />1131'.0• <br />110.57 <br />20 <br />.1490.7 <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 />I517.4 <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 />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 />336.2 <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 />- <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 />_ <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 />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 />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 />144.85 ` <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 />304.5 <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 />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 />169.04 <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 />1800.6 <br />278.1 <br />42 <br />2199.4 <br />407.6 <br />110 <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 />1324:9 <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 />Angle <br />Curve 5° <br />10° <br />15° <br />20° <br />250 <br />300 <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65°. <br />70° <br />400 . <br />T =.00 <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 />.028 <br />.034 <br />.038 <br />.045 <br />.051 <br />.057 <br />.063. <br />.070 <br />.076 <br />.083 <br />250 • <br />'T=.08 <br />.16 <br />.24 <br />.33 <br />.40 <br />.49 <br />1 .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 />.016 <br />.056 <br />.065 <br />.074 <br />.083 <br />.093 <br />.106 <br />.120 <br />.127 <br />.135 <br />30° <br />T=.1 <br />.19 <br />.29 <br />.39 <br />.40 <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..025 <br />.038 <br />.051 <br />.065 <br />.078 <br />.090 <br />.103 <br />.116 <br />.129 <br />.149 <br />.170 <br />.179 <br />.188 <br />35° <br />T=.11 <br />.22 <br />.34 <br />'.47 <br />.58 <br />.69 <br />.80 <br />.03 <br />1.05 <br />1.17 <br />1.29 <br />1.42 <br />1.54 <br />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 <br />.230 <br />.247 <br />.264 <br />400 <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 <br />1.64 <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 />45° <br />T=.15 <br />.30 <br />.44 <br />.60 <br />.76 <br />.91 <br />1.06 <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 />