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IZ TABLE 1.- Tangents and Externals to a 1° Curve. <br />Chord= 100 ft. <br />Yns. <br />" Angle <br />Tangent <br />External <br />Int" .Tangent <br />Angle <br />30° <br />External <br />_ <br />Int- <br />� Angle <br />Tangent <br />External <br />1° <br />50:00: <br />.22 <br />S. <br />..400.60 <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 />LO' <br />702,80 <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 />75:01 <br />:49 <br />"30' <br />426.79, <br />15.80 <br />30 <br />779-.77 <br />52.82 <br />40 <br />83.34 <br />61 <br />40 <br />434.17 <br />_ <br />16.43 <br />40 <br />.788.2G <br />53.97 <br />50 <br />91.68 <br />.73 <br />50 <br />442.55 <br />17.07 <br />.50 <br />790.75 <br />55.13 <br />2 1 <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 />LO <br />813,75 <br />57.50" <br />20 <br />116.68 <br />.1.19 <br />20 <br />"467.71 <br />10.OG <br />•20 <br />822.25 <br />58.70 <br />30. <br />125.02 <br />-_ Y.M. <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 />4S4.49 <br />20.45 <br />40 <br />839.27 <br />61.14 <br />50 <br />.141.•70 <br />1.75 <br />50 <br />-492.85 <br />21:16. <br />50 <br />847.78 <br />62.38 <br />3 <br />•150.04 <br />1.96 <br />10 <br />501.23 <br />.21.89 <br />17 <br />- MCI. 36 <br />63.63' <br />10 <br />155.38 <br />2:10 <br />10 <br />:509-63 <br />22.62 <br />10 <br />864.82 <br />64.90 <br />20' <br />166.72 <br />2 143 <br />20 <br />618.08 <br />23.38 <br />20 <br />873.35 <br />66.18; <br />30 <br />175.06 <br />2.67 <br />30 <br />526.48 <br />24.14 <br />30 <br />♦881.83 <br />67.47' <br />40 <br />183.40 <br />2.03 <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 />548.29. <br />25.70 <br />50 <br />898.05 <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 />924.58 <br />74.12 <br />30 - <br />2x5.12 <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 />"476 <br />40.- <br />585.36 <br />29.82 <br />40. <br />941.69 <br />76.86 <br />50 <br />?A1.81 <br />.5.10 <br />50 <br />593.79 <br />- 30.68 <br />50 <br />950.25 <br />78.26 <br />6 1 <br />250.16 <br />5.46' <br />12. <br />602.21 <br />31.56 <br />18 <br />958.81 <br />79.07 <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 />266.86 <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 />G35.93 <br />35:18 <br />1 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 />300-28 <br />7-86'" <br />13 <br />652.81 <br />37.07 <br />20 ' <br />1010.3 <br />88.39 <br />10 <br />308.fi4 <br />5-31 <br />10 <br />661.25 <br />38.03 <br />10 <br />WISA <br />89.89 <br />20 <br />316.99 <br />8"76 <br />20 <br />6G9.70 <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 />- <br />40 <br />333.71 <br />9.71 <br />40 <br />686.60 <br />40.99 <br />40 <br />10.14.7 <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 />90.01 <br />7 <br />354}.4.4 <br />10.71 <br />14 <br />•703.51 <br />43.03 <br />21 <br />1001.0 <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 />1079.3 <br />100.75 <br />30 <br />375.54 <br />12.29 <br />30 <br />723.90 <br />46.18 <br />30 <br />1087.8 <br />102.3.5 <br />40 <br />383.91 <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 />1S.34 <br />50 <br />1105-1 <br />105.60 <br />Corrections to be Added (T = Tangent. E = External.) <br />Int" Curve 5'-10° <br />Au& <br />Tangent <br />15° 20° <br />25° <br />30° <br />35° <br />40° <br />45° 150° <br />55° <br />601 <br />65° <br />5° T=.02 <br />.03 <br />.05 .06 <br />.08 ' <br />.10 <br />.11 <br />.13 <br />.15 .16 <br />.18 <br />• .20 <br />21 <br />'.005 <br />E =.000 <br />.000 <br />.001 .001 <br />.062 <br />.002 <br />.002 <br />.003 <br />•.003 .004 <br />.004' <br />-004 <br />192.99 <br />10° T =-63 <br />.00 <br />.09 .13 <br />I6 <br />.19 <br />.22 <br />..25 <br />?8 .31. <br />.34 <br />.38 <br />.42 <br />E =.001 <br />.003{ <br />.904 :006 <br />.007 <br />.008 <br />-004 <br />.011 <br />-012 .014 <br />1015 <br />-017 <br />.018 <br />15° T--04. <br />.10 <br />.14 .19 <br />.24 <br />.20 <br />.34 <br />.39 <br />.45 .51 <br />.53 <br />.58 <br />-63 <br />I:=.003 <br />-007 <br />-010 .014 <br />.013 <br />.023 <br />'.027 <br />020 <br />"032 .035 <br />"039 <br />.043 <br />•047 <br />T =.06 <br />.13 <br />19 .26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 .65. <br />.72 <br />.79 <br />84 <br />20° E =.006 <br />.011 <br />.017 .022 <br />.028 <br />.034 <br />.038 <br />.015 <br />.051 .057 <br />.063 <br />.070 <br />•076 <br />25, T=.08 <br />E <br />.16 <br />.24 .33 <br />.40 <br />'.046 <br />.49 <br />.58 <br />.67 <br />.75 .83 <br />.90 <br />.99 <br />1.06 <br />.127j <br />=.009 <br />.018 <br />.027 .036 <br />213.86 <br />.056 <br />.065 <br />.074 <br />.083 .093 <br />.106 <br />.120 <br />31 <br />70° <br />i <br />T_ ABLu I: -. Tangents.and Externals to a-1°:Curve. III <br />Chord =-100, f t. <br />" Int-, <br />Angle <br />Tangent <br />External <br />I°t' <br />Angle <br />Tangent <br />External <br />Ynt" ' <br />-Angle <br />Tan ent <br />-Tangen <br />External <br />22° <br />.1113.7 <br />107:24 <br />29° <br />1481.8 <br />.188.51 <br />361 <br />"1861.7 <br />294:9 <br />101 <br />1122.4' <br />108.90' <br />10' <br />1490.7 <br />190.74 <br />IV <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 />1508.5 <br />195.25 <br />3D <br />1889.4 <br />303.5 <br />_ <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 />,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 />1'544.2 <br />204.44 <br />-. <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 />2D <br />'1935.7 <br />313.1 <br />30 <br />1191.8 <br />j22. 63, <br />30 <br />1562`.1 <br />209.12 <br />3D <br />1945.0 <br />321.1 <br />- 40 <br />1200.5 <br />124.41 <br />40 <br />'357110 <br />!M A S <br />i 4D <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 />123.00 <br />31 <br />15S9.0 <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 />10 <br />1082.2 <br />333.2 <br />20 <br />1235:3 <br />131 65 <br />20 <br />1606.9 <br />221.1 <br />2D <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 />3252.8 <br />135.35 <br />40 <br />1624.9 <br />220"0 <br />46 <br />2010.2 <br />342.4 <br />50 <br />1261.5 <br />137.23 <br />'50 <br />'1633.9 <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 />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 />140.79 <br />40 <br />1670.1 <br />241.0- <br />40 <br />2066.6 <br />361.3 <br />50 <br />131410 <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 />1706.3 <br />248.7 <br />-10 <br />2094.9371.0 <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 />153.72 <br />40 <br />256.5. <br />40 <br />2123.3 <br />380.8' <br />50 <br />1366.8 <br />160.76 <br />50 <br />,1733.5 <br />1742.6 <br />259.1 <br />750 <br />2132.7" <br />334.1 <br />27 <br />1375.6 <br />IM S1 <br />34 <br />1751:7 <br />261,8' <br />41 <br />2142.2 <br />387.4 <br />10 <br />13S4.4 <br />18.86 <br />10 <br />1760.8 <br />264.5 <br />.10 <br />2151.7 <br />390.7 <br />20 <br />1393.2 <br />106. 95 <br />:20 <br />.1770.0 <br />267"2 <br />20 <br />2101.2 <br />394.1 <br />30 <br />1402.0 <br />109.04 <br />30 <br />1779.1 <br />269-0 <br />.30• <br />2170.8 <br />397.4 <br />40 <br />1410:9 <br />171.15 <br />40: <br />1788.2 <br />272.0" <br />40 <br />21SO.3 <br />400.8 <br />60 <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 />1423.6- <br />175.41• <br />35 <br />1806.6 <br />278.1 <br />47, <br />2199.4 <br />407.6 <br />10 <br />1437.4' <br />177.55 <br />10 <br />1515.7 <br />280.3 <br />10 <br />-2209.0 <br />411.1 <br />20 <br />1446.3 <br />179.72 ' <br />20 <br />1824.9. <br />283.0 <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 />2328.1 <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 />.196.29 <br />.50 <br />1852.5 <br />292 0 <br />5D <br />2247.3 <br />425.0 <br />-24,t <br />,, 4Gj1 <br />'D2 <br />vg0 <br />483 <br />11614 <br />.185 - <br />Corrections to be Added (T =Tangent. E =External.) <br />Ant. <br />Angle Curve 5°- <br />101 <br />15° <br />20° 25° <br />3D° 35° <br />40°. 45° <br />W <br />55° 1 <br />60° <br />.65° 70° <br />20° T=.C6 <br />.13 <br />.19• <br />.25 32 <br />..39 .45 <br />-51, .58 <br />.65 <br />.72 <br />.70. <br />.84 .90 <br />E=.006 <br />.011 <br />.017 <br />.022 .028 <br />AU .038 <br />,045 .051 <br />.057 <br />.063 <br />.070 <br />.076 .083 <br />25- T A8 <br />,16 <br />.24. <br />.33 .40 <br />.49 .58- <br />.67 .75 <br />.83 <br />.90 <br />.99 <br />1.06. 1.14 <br />E=.009 <br />.013 <br />.027 <br />.036 .046 <br />.056 .065 <br />_.074 .083 <br />093 <br />.106 <br />.120 <br />.127 .135 <br />`30° T=.10 <br />= .0103 <br />9 <br />9D <br />1.149 <br />1.190 <br />.39 <br />29 1.188 <br />1 <br />" <br />.025 <br />.038 <br />051 .065 <br />078 .090 <br />.103 .110 <br />AD <br />179 <br />35° T=:11. <br />.22 <br />'.34 <br />.47 .58 <br />.69 -.80 <br />.93 1"05 <br />1.17 <br />1.2D <br />1.42 <br />1.54 L.6G <br />E=.013 <br />.035 <br />_.054 <br />.-,.072 '.080 <br />• ;100 :.131 <br />.153 .175 <br />.197 <br />'.213 <br />.230 <br />..247 .264 <br />�4Do T-.13 <br />20 <br />40 <br />.53 67• <br />.80 .93' <br />1.00 1.20 <br />1.34' <br />1.40 <br />1.64 <br />1.79 1.94 <br />E=.023 <br />.040 <br />.010 <br />.093 .117 <br />.141 .172 <br />.203 .234 <br />,263 <br />.277 <br />.290 <br />.315 .341 <br />.30 <br />'.44 <br />'.60 .76 <br />.91 1.06. <br />1.21 1.37 <br />1.52 <br />1.70.1.87 <br />2.04 2.21 <br />='E <br />.060 <br />.09$ <br />,.119 .153 <br />.184 .218 <br />.254 .289 <br />-.325 <br />.851 <br />.878 <br />.4.11 .445 <br />