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II TAs1.E I. - Tangents and Externals to a 11 Curve. <br />Chord =100 ft. <br />Ins. <br />Angle <br />Tangent <br />External <br />Angle . <br />Tangent <br />Eatemal <br />Int. <br />,Angle <br />Tangent <br />External <br />1° <br />50.00- <br />-'.22 <br />8° <br />400.66 <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 />101 <br />762.80 <br />50.55 <br />20 <br />66.67 <br />..39 <br />20. <br />417.41 <br />15.18 <br />- 20 <br />771.29 <br />51.6$ <br />30 <br />75.01 <br />•.:49 <br />30 <br />.425.79 <br />_'.15.80 <br />• t , 30 , <br />179.77 <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 />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 />.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'.'19.06- <br />206.77 <br />20•-:822.25 <br />1935;47 <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 />8 - - <br />150.04 <br />1.98 <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..:22:62 <br />218.7 <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 />• 24.1'4 <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 />'260:08 <br />3.49• <br />11 <br />.551:70 <br />- 26.50 <br />18 --907:49' <br />2029'0' <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 />-924.58 <br />72.76 <br />20 <br />216.77 <br />4.10 <br />20 <br />568.53 <br />28.14 <br />20 <br />804;':8. <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 />146.79 <br />40 <br />585.36 <br />29.82 <br />- 40 <br />941.69 <br />76.86 <br />50 <br />241.81 <br />.4:76, <br />5'.10 <br />. <br />50 <br />593:79 <br />•30.68 <br />50 <br />950.25 <br />78.26 <br />b <br />250.16 <br />5.46 <br />12• ' <br />602.21 <br />c31:56 <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' <br />.984.53 <br />83.97 <br />40 <br />283.57 <br />7.01 <br />40 <br />635:93' <br />•35.18 <br />-401 <br />`993.12 <br />85.43 <br />50 <br />291.92 <br />7.43, <br />y• 50 <br />644.37 <br />36.12 <br />. 50 . <br />1001.7 <br />86.90 <br />6 <br />300.28 <br />7.88 <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--9.71 <br />.171.15 <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 />30:375:54; <br />1455.1 <br />`_ 12.29• <br />�30 <br />728.90 <br />46:18: <br />30_. <br />1087.8=:,102.35 <br />. 418.0 <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 />145.85 <br />'- 48:34 <br />60 <br />1105.1 <br />105'.60 <br />Corrections to be Added (T =Tangent. E=External.) <br />Int <br />Angle <br />Curve S. <br />10° 15° <br />20°` 25° '30°• 35'. 40° <br />45° 50° <br />55° <br />60° <br />650 70° <br />bo <br />T=:02 <br />E =.000 <br />.03 .05 <br />.000 .001 <br />.06 :08' .10 =.11 :13- <br />.001' .002 .002 ..002 .003 <br />.15 .16 <br />..003 .004 <br />.18 <br />.004 <br />.20 <br />.004 <br />.21 .23 <br />.005 .005 <br />1861.,T <br />T=.03 <br />.06 .09 <br />..13 '.16 .19 .22 .25 <br />.28' .31 <br />.34 <br />.38 <br />.42 .:46 <br />loo <br />E= 001 <br />.003 .0041".006 <br />.007 .008 .009 .011 <br />.012 :014 <br />:015 <br />.017 <br />.018 .020 <br />o <br />T=.04 <br />.10.. .14 <br />.19 .24 .29 .34 .39 <br />.45 .51 <br />.53 <br />.58 <br />.63 .68 <br />15 <br />E=.003 <br />.007. .010 <br />.014 .018 .023 .027 .029 <br />.032 .035 <br />'.039 <br />.043 <br />.047 .051 <br />20o <br />T =.06 <br />.13 .19 <br />.26 .32 .39 .45 .51 <br />.58 .65 <br />'.72 <br />.79 <br />.84 .90 <br />115.66. <br />E=.006 <br />.011 .017 <br />.022 .028 .034 .038 .045 <br />.051 .057 <br />.063 <br />.070 <br />:.076 .083 <br />250 <br />T=.08 <br />.16 .24 <br />.33 .40 .49 .58 .67 <br />.75 .83 <br />.90 <br />.99' <br />1.06 4.14 <br />-10 <br />E=.009 <br />.018 .027 <br />.036 .046 .056 .065 .074 <br />.083 .098 <br />.106 <br />.120 <br />.127 .135 <br />TAaL*E L -Tangents and Externals to a 1° Curve,. <br />.Chord =100 ft. <br />Ing. <br />• Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int:. <br />Angle <br />T aagaat <br />External <br />,220- <br />1113.7 <br />107.24 <br />296 . <br />1481.8 <br />188.51 ' <br />'36° <br />1861.,T <br />291:9 <br />101 <br />1122.4 <br />108.90 <br />101 <br />1490.7 <br />190.74 <br />10P <br />1870..,9: <br />E=.006• <br />20 <br />1131.0' <br />110.57 <br />20 <br />1499.6 <br />192.99 <br />-20 <br />1880,.,1! <br />,297.7 <br />' 300.6 <br />30 <br />1139.7 <br />, <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 />1919'„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;47 <br />318.1 <br />30 <br />1.191:8 <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 />197..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 />'19'91.5' <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 />'201'9:6. <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 />1652.0., <br />233.4 <br />10 <br />2035.4' <br />.351.8 <br />20 <br />1287.7 <br />142.93 <br />20 <br />1661.0 <br />235.9 1 <br />20 <br />804;':8. <br />354.9 <br />30 <br />1296.5. <br />144.85 <br />30 <br />1670.0 <br />238.4 <br />30 <br />205-;'.2 <br />358.1 <br />40 <br />1305.3 <br />146.79 <br />140 <br />1679.1, <br />241.0 ' <br />40 <br />206.5;.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 />20854' <br />.367.7 <br />'10 <br />1331.6, <br />152.69 <br />10 <br />1706.3 <br />248.7 <br />10 <br />209 .9, <br />p371.0 <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 />'1733.51 <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 />2932.7 <br />384.1 <br />27 <br />1375.6 <br />162.81 <br />34 <br />1751.7' <br />261.8 <br />-41 <br />214:2.2 <br />.3874 <br />10 <br />1384.4' <br />164.86 ' <br />10 <br />1760.8 <br />264.5 <br />.10 <br />2154.7 <br />:390.7 <br />20 <br />1393.2•. <br />166.95 <br />20 <br />1770.0' <br />267.2 <br />20 <br />2151.2 <br />394.1 <br />30 . <br />'1402.0 <br />169.04 <br />30 <br />1779.1 <br />.269.9 <br />30 <br />21;'0.8 <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 />216:9.9' <br />404.2 <br />'28' <br />'1428.6 <br />175:41 <br />-351806. <br />G' <br />278:1 <br />42' <br />219;9.4 <br />.407:6 <br />10 <br />1437.4 <br />177.55 <br />10 <br />1815.7 <br />280.8 <br />10 <br />22KQ9.0 <br />'.411.1 <br />20 <br />1446.3 <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 />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 ..2227.7 <br />-421.4 <br />50 <br />' 1472.9 <br />186.29: <br />"' 50 <br />1852.5' <br />292.0 <br />50 <br />2217.3. <br />425.0 <br />Correction's to be Added (T = Tangent. E = Estermlal.) <br />lag'Curve 5? <br />Angle <br />.10° ' <br />-15° <br />.20° <br />.25° <br />30° <br />35? <br />40° <br />- 45° <br />1 506 " <br />• 55° <br />• 60..1- <br />65° 70° <br />20" T=.06, <br />13 <br />.19 <br />.26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58.65 <br />.72 <br />.79 <br />84 ..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 .083 <br />•250, T=.08 <br />.16 <br />'.24 <br />.33 <br />'.40 <br />.49 <br />'.58 <br />'.67 <br />-.75 <br />..83 <br />.90..99 <br />1.08 1.14 <br />E=.009 <br />.018 <br />.027 <br />.036 <br />.046 <br />.056 <br />.065 <br />-.074 <br />.083 <br />.093 <br />.108 <br />,.120 <br />.127 .135 <br />30° T=.10 <br />.19 <br />.29 <br />.39 <br />•.49 <br />-.59 <br />.69 <br />.79 <br />.89 <br />.99 <br />1.09 <br />9.20 <br />1.29 1.39 <br />E=:013 <br />':025 <br />.038 <br />.051 <br />.065 <br />.078 <br />.090 <br />.103 <br />".116 <br />.129 <br />.149 <br />..170 <br />.179 .188 <br />35° T=.11 <br />.22 <br />.34 <br />.47 <br />.58 <br />.69 <br />.80.93 <br />1.05 <br />1.17 <br />1.29 <br />3.42 <br />1.64 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 .264 <br />40° 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 />]:.64 <br />1.79 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 .341 <br />450 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 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 .445 <br />