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II TAmz 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 />' ' <br />Tangent <br />'Exteinal <br />Int. <br />,Angle <br />Tangent <br />External <br />1° <br />50.00: <br />550 60° 65° <br />"8° <br />400'.66''� <br />13,.99-• <br />"15° <br />754.32 <br />49.44 <br />101 <br />58.34 <br />_,.22' <br />30 <br />10' <br />409.03- <br />14.58 <br />10' <br />762.80 <br />50.55 <br />20 <br />66.67 <br />.39" <br />'_:49 <br />-,20. <br />417.41 <br />,15.18 <br />.-20 <br />771.29 <br />51.68 <br />30 <br />75.01 <br />.005 <br />30%_:425.79 <br />T =.03.06 <br />15.80 <br />301; <br />'77.77 <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 />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 />11.75 <br />•50 " <br />492.88 <br />21.16 <br />50' <br />847.78 <br />62.38 <br />8- - <br />.150.04' 150.04 <br />--7:96 <br />;10 ' <br />501.28 <br />:21.89 <br />17856:30 <br />.58 <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 />166.72 <br />2.43 <br />20 <br />518.08. <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 />881.88 <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 />a <br />200.08' <br />e 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 />.1-40 <br />941.69 <br />76.86 <br />50 <br />241.81 <br />5.10 <br />50 <br />593.79 <br />80.68' <br />50 <br />950.25 <br />78.26 <br />b <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 />266.86 <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 />,.. <br />30.,•984.53 <br />2113.8 <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 />. 044.37 <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 />20669.70 <br />1770.0 , <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 />i 46.18,, <br />":1087.8:, <br />102.35 <br />40 <br />383.91 <br />12.85 <br />„ <br />40' <br />737.37 <br />47.2540 <br />_*.'30.- <br />1096.4 <br />103.97 <br />50 <br />392.28 <br />13.41 <br />_7.60.: <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 <br />Ang6o <br />Curve 5° <br />10° <br />15° <br />20° <br />25°•`30°• <br />'Int. <br />Angle <br />35°. <br />40° <br />45° <br />50° <br />550 60° 65° <br />70° <br />1481.8 <br />T=.02 <br />1 .03 <br />.05 <br />.06 <br />:08' <br />.10'-.11 <br />108.90 ' <br />.13 <br />.15 <br />.16 <br />1 .18 .20 .21 <br />.23 <br />. 297.7 <br />E=.000 <br />1 .000 <br />.001 <br />.001 <br />.002 <br />.002_'.002 <br />20 <br />.003 <br />-.003 <br />.004 <br />.004 .004 .005 <br />.005 <br />10° <br />T =.03.06 <br />195.25 <br />.09 <br />..13- <br />.16 <br />.19 <br />.22 <br />.25' <br />.28' <br />,'.31 <br />.34 .38 .42 <br />.46 <br />1898.6 <br />E=.001 <br />.003 <br />.004 <br />.006 <br />.007 <br />.008 <br />•.009 <br />.011 <br />.012 <br />:014 <br />.015 .017 .018 <br />.020 <br />15o <br />T =.04 <br />.10.14 <br />202.12 <br />.19 <br />.24 <br />.29' <br />'.34 <br />.39 <br />.45 <br />.51 <br />.53 .58 .63 <br />.68 <br />- 10 <br />E=.003 <br />.007 <br />.010 <br />.014 <br />.018 <br />.023 <br />.027 <br />.029 <br />.032 <br />.035 <br />:.039 .043 .047 <br />.051 <br />20o <br />T=.06; <br />.13 <br />.19 <br />.26.32 <br />30 <br />.39 <br />.45 <br />.51 <br />.58 <br />.65• <br />`.72 :79 .84' <br />.90 <br />211.48 <br />E=.006 <br />..011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.045 <br />.051 <br />.057 <br />.063 .070 ..076 <br />.083 <br />25o <br />T=.08 <br />.16 <br />.24' <br />.33 <br />1 .40.49 <br />38-'. <br />.58 <br />.67 <br />'.75 <br />.83 <br />.90 .99 1.06 <br />1.14 <br />1598.0, <br />E =.009 <br />.018 <br />.027 <br />.036 <br />.046 <br />.056 <br />.065 <br />.074 <br />.083 <br />.093 <br />.106 .120 .127 <br />.136 <br />61 <br />Te61& L 'Tangents'and Exterrnals to a 1° Curve.` nY <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 />Eiteinal <br />22° <br />1113.7 <br />107.24 1 <br />290 <br />1481.8 <br />188.51 , <br />.36° <br />.1861:7 <br />. 294.9 <br />'107 <br />.1122:4 <br />108.90 ' <br />ld <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 />1508.5 <br />195.25 <br />30 <br />1889.4 <br />303.5 <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 />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 />122.03 <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 />at . <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 />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 />345.8 <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 />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 .`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 />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 •"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 '.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 />T- <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 />1806.6 <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 />144613 <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 />181.89 <br />30 <br />1834.1 <br />286.4 <br />7 30 <br />2228.1 <br />.418.0 <br />c:.40 <br />.1464.0 <br />184.08 <br />40 <br />1843.3 <br />2$9.2 <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. ' : Curse 5° <br />Angle <br />10° 15° <br />20? <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />600 <br />'650 °70o <br />Zoo T=.06 <br />.13 .19 <br />.28 <br />-.32.39 <br />.45 <br />.51 <br />.58 <br />.65 <br />.72 <br />.79 <br />.84 • :90 <br />E =.000 <br />.011 .017 <br />.022 <br />.028 <br />.034 <br />_.038 <br />'.045 <br />.051 <br />".057 <br />.063 <br />.070 <br />.076 :083 <br />250 T=.08 <br />.16 .24 <br />.33 <br />.40. <br />'.046 <br />.49 <br />.58 <br />.67. <br />.75 <br />.83 <br />.90 <br />.99 <br />1.06 1.14 <br />E=.009 <br />.018 -.027 <br />.036 <br />.056 <br />.065 <br />.074 <br />.083 <br />.093 <br />.106 <br />.120 <br />.127 .135 <br />30° T=.10 <br />.19 .29 <br />'.39. <br />.49 <br />.59 <br />.69 <br />.79.89 <br />.99 <br />1.09 <br />1.20 <br />1.29 •1.39 <br />E=.013 <br />.025 .038 <br />.051 <br />.065 <br />.078 <br />.090 <br />:103 <br />.116 <br />.129 <br />.149 <br />.170 <br />.179 .188 <br />35o T=.11 <br />.22 .34 <br />.47 <br />.58 <br />.69 <br />1 .80 <br />.93 <br />1.05 <br />1.17 <br />1.29 <br />1.42 <br />1.54 11.66 <br />E=.018 <br />.035 .054 <br />.072 <br />.086 <br />.109 <br />.131 <br />.153 <br />.175 <br />.197 <br />.213 <br />.230 <br />.247 .264 <br />40 T=.13 <br />.26 .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 1.94 <br />B=.023 <br />.046 .070 <br />.093 <br />.117 <br />.141 <br />.172 <br />:203 <br />.234 <br />.265 <br />.277 <br />.290 <br />.315 .341 <br />45° T=.15 <br />.30 .44 <br />.60.76 <br />.91 <br />1.06 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 <br />2.04 2.21 <br />E=.030 <br />.060 .093 <br />.119 <br />.153 <br />.184 <br />.216 <br />.254 <br />.289 <br />.325 <br />.351 <br />.378 <br />.411 .445 <br />