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II TABU I. - Tangents and Externals to a 1 Curve. <br />Chard =100 It. <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 />V <br />50.00 <br />.22 <br />8° <br />400.66 <br />13,99 <br />15° <br />754.32 <br />49.44 <br />101 <br />58.34 <br />. <br />.30 <br />10' <br />409.03 <br />14.58 <br />10' <br />702.80" <br />50.55 <br />20 <br />66.67 <br />.89 <br />20 <br />417.41. <br />15.18 <br />20 <br />. 771.29 <br />51.69 <br />30 <br />75.01 <br />.49 <br />30 <br />425.79 <br />15.80 <br />r .30. <br />"779.77 <br />52.£2 <br />40 <br />83.34 <br />.61 <br />40 <br />434.17 <br />16.43 <br />40 <br />788.26 <br />53.97 <br />b0 <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 />S7 <br />9 - <br />450.93 <br />17.72 <br />16, <br />805.25 <br />56.31 <br />10 <br />108.35 <br />02 <br />10 <br />459.32 <br />18.38 <br />10 <br />813.75 <br />57.50 <br />20 <br />116.68 <br />1.1.19' <br />'20 <br />467.71 <br />'`19.OG <br />20 <br />822.25 <br />:58.70 <br />30 <br />125.02 <br />1.3G' <br />30 <br />476.10 <br />19.75 <br />30 <br />830.76 <br />59.91 <br />40 <br />133.3G <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 />31 <br />501'.28 <br />21.89 <br />17 " . <br />856.30 <br />63.63 <br />10 <br />158.38' <br />2.10 <br />_-10 - <br />10 <br />509.68 <br />22.62 <br />10 <br />864.82 <br />64.90 <br />20 <br />106:72 <br />2.43' <br />20 <br />518.08 <br />23.38 <br />20 <br />873.35 <br />66.18 <br />30 <br />175.OG <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 />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 />27.81 <br />10 <br />916.03• <br />72.76 <br />20 <br />210.77 <br />4.10 <br />20 <br />508.53 <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 />20.82 <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 />26 <br />1322.8 <br />150.71 <br />33 <br />1697.2 <br />246.1 <br />40 <br />2085.4 <br />367.7 <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 />G10.64 <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 />233.57 <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 />0 <br />300.28 <br />7tS6 <br />13 <br />G52.81 <br />37.07 <br />20 <br />1010.3 <br />.88.39 <br />10 <br />308.G4 <br />8.31 <br />'10 <br />661.25 <br />38.03 <br />10 <br />1018.9 <br />89.89 <br />.20 <br />318.99 <br />8.70 <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 />90.01 <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 />333.91 <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 5° 100 <br />,Angle <br />IS- 20° 25° 30° <br />35° 40° 45° 50° 550 60° <br />65"70' <br />Tangent <br />50 T=.02 .03 <br />.05 .06 .08 .10 <br />.11 .13 .15 .16 .18 .20 <br />.21 - <br />.23 <br />E=.OD0 .000 <br />.001 .001 .002 .002 <br />.002 .003 .003 .004 .004 .004 <br />.005 <br />M5 <br />.46 <br />10. T=.03 .05 <br />.09 .13 .15 .19 <br />.22 - .25 .28 .31 .34 .38 <br />. 2 <br />E =.001 .003 <br />.004 .006 .007 .008 <br />.009 _011 .012 .014 .015 .017 <br />.018 <br />.020 <br />i, o = Q4 - -.10 <br />.14 .19 .24 -.29 <br />.34 .39 .45 .51 .53 .58 <br />:63 <br />.68. <br />E =.00.3 .007 <br />.010 .014 .018 .023 <br />.027 .029 .032 .035 .039 .G43 <br />.047 <br />.051 <br />20° T=.06 .13 <br />.90 <br />.19 .26 32 '.99 <br />.45 .51 b8 .65 .72. .70 <br />.84 <br />E=.008 .011 <br />.017- .023 .028 .434 <br />.038 .(115 .051 .057 .0&3 .070'.076 <br />30 <br />.083 <br />fir° - T=.08 .16a <br />1.14 <br />.24 .33 40 A9 <br />.58 .67 75 .83 .90 .99 <br />LOT <br />E =.009 .018 <br />.027 .038 .046 .056 <br />.085 .074 .083 .093 .106 .120 <br />.127 <br />.135 <br />TAuLE I. - Tangents and Externals to a 11 Curve. III <br />Chord= 100 ft. <br />Int. <br />Angle <br />(Tangent <br />! <br />11113.7 <br />External <br />Int" <br />Angle <br />Tangent <br />Iistetnal <br />Int' <br />Angle <br />Tangent <br />External <br />22* <br />15° <br />107.24 <br />29° <br />1481.8 <br />188.51 <br />360 <br />1861.7 <br />,294.9 <br />10F <br />112 2: 4 <br />108.90 <br />101 <br />1490.7 <br />190.74 <br />10' <br />1870.9 <br />297.7 <br />20 <br />1151.0 <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 />1889.4 <br />303.5 <br />40 <br />1143.4 <br />113.95 <br />40 <br />1517.4 <br />197.53 <br />40 <br />1808.0 <br />306.4 <br />50 <br />1157.0 <br />115.66 <br />50 <br />1526.3 <br />199.82 <br />50. <br />1967.9 <br />309.3 <br />23 <br />1165.7 <br />117.33 <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 />1.571.0 <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 />213.8G <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 />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 />1991.5 <br />330.3 <br />20 <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 />1630.9 <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 />39 <br />2029.0 <br />348.6 <br />10 <br />1279.0 <br />141.01 <br />IO <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 />148.79 <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 />20T6.0 <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 />2094.9 <br />371.0 <br />20' <br />1340.4 <br />154.69 <br />-20 <br />1715.3 <br />251.3 <br />20 '.2104.3 <br />374.2 <br />30 <br />1349.2 <br />158:70 <br />30 <br />1724.4 <br />253.0 <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 />281.8 <br />41 <br />2142.2' <br />387.4 <br />10 <br />1384.4 <br />164.86 <br />10 <br />1760.8 <br />264.3 <br />10 <br />2151.7 <br />..390.7 <br />20 <br />1393.2 <br />160.95 <br />20 <br />1770.0 <br />267.2 <br />20 .•2161•.2 <br />394.1 <br />30 <br />1402.0 <br />169.04 <br />30 <br />1770.1 <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 />56 <br />2189 9 <br />404.2 <br />28 <br />1428.6 <br />175.41 <br />35 <br />1806.6 <br />278.1 <br />42 <br />2199.4 <br />407.6 <br />10 <br />,1437'.4 <br />177.55 <br />10 <br />1315.7 <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 />IS1.89 <br />30 <br />1834.1 <br />286.4 <br />30 <br />2228.1 <br />418.0 <br />40 <br />1464.0 <br />IS4.08' <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 />lnt. <br />Angle <br />Curve S° 10' <br />15° <br />20° <br />25° 30° <br />35° <br />40° 450 <br />50° 55° '60° 65° 70° <br />20° <br />T=.06 .13 <br />.19 <br />.26 <br />.32 .39" <br />A5 <br />-.51.58 <br />.65 .72 .79 .84 .90 <br />E =.006 .011 <br />.017 <br />.022 <br />.028 .034 <br />.038'1.045 <br />.051 <br />.057 .063 .070 .076 .083 <br />259 <br />T=.08 .16 <br />.24 <br />.33 <br />.40 .49 <br />.58.67 <br />75 <br />.83 .90 .99 1.06 1.14 <br />E=,009 .018 <br />.027 <br />.036 <br />.046 .050 <br />.065 <br />.074 .033 <br />.093 .106 .120 .127 .135 <br />. 30° <br />T=.10 .19 <br />.29 <br />.39 <br />.49' .59 <br />.69 <br />.79 £9 <br />.99 1.09 L20 1.29 1.39 <br />E=.013 .025 <br />.038 <br />.al <br />-.065 ,078 <br />A90 <br />.103 .116 <br />.129 .149 .170 .179 .188 <br />850 <br />T=1i .22 <br />.34 <br />.47 <br />' .58 .69 <br />.80 <br />.03 1.05 <br />1.17 1.29 1.42 1.54 1.66 <br />E =.018 .035 <br />.054 <br />.072 <br />.086 .109 <br />.131 <br />.153 .175 <br />.197 .213 .230 .247 .204 <br />" 40° <br />T=.13 : 6 <br />.40 <br />.53 <br />.67 - .80 <br />.93 <br />1.06 1.20 <br />1.34 1.49 1.64 1.79 1.94 <br />E =.023 .046 <br />T =.15 .30 <br />.070 <br />.44 <br />'.093 <br />.GO <br />.117 .141 <br />.172 <br />.203 .234 <br />265 .277 .290 .315 .341 <br />45° <br />.75 ' .91 <br />1.06 <br />1.21 1.37 <br />1.52 1.70 1.87 2.04 2.21 <br />E= 030 .OGO <br />.093..119 <br />.153 .184 <br />.216 <br />.254 .289 <br />.325 .351 378 Alt .445 <br />