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17 TASI.E I. - Tangents and Externals to a 1° Curve. <br />Chord=100 ft_ <br />Alnt* <br />ngl50:00, <br />Tangent <br />External <br />:' Angle <br />Tangent <br />External <br />- Ang a <br />Tangent <br />External <br />1 <br />°10' <br />..1113.7 <br /><, .22 <br />8°.- .-' <br />400.66.' <br />13.99- <br />-15' <br />754.32 <br />49.44 <br />VY <br />58.34 <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 />-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 />.61 <br />40 <br />434.17 <br />18:43 <br />40 <br />788.26 <br />53.97 <br />5.0 <br />91.88 <br />73 <br />50. <br />.442:55 <br />17.07 <br />So. <br />.796.75. <br />55.13 <br />` <br />100.01' <br />I.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:.58.70 <br />L.136 <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 />5.0 <br />847.78. <br />` 82.38 <br />24 <br />150.04. <br />-1.96 <br />•10 <br />501.28 <br />•-21.89 <br />17 <br />'856:30 <br />63.63 <br />10 -:158.38 <br />.1226.6 <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 />881.85 <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 />27.31 <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 />3068 <br />50 <br />950.25 <br />78.26 <br />5 <br />250.16 <br />5.46 <br />12 = <br />602.21-.t31.56 <br />246.1 <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 />266.8q,. <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 />137.07 <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 />695.08 <br />42.00 <br />50 <br />1053.3 <br />9 O1 <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 .•358.81 <br />1437.4 <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 />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 />48:34 <br />• .50 <br />1105.1 <br />105.60 <br />Corrections to be Added (T Tangent. E=External.) <br />Int. <br />Angle <br />Curve 5° <br />10° 1 15° 20° 2 ;- <br />30° 35°_ <br />40° <br />45° <br />50° 55° 60° <br />65° <br />70° <br />5° <br />..1113.7 <br />107.24 <br />X29° <br />1481.8. <br />188:51 : <br />.16 1004 <br />1861.7, <br />294.9 <br />VY <br />E =.000 <br />.000 .001 .001 .002 <br />.002 .002 <br />.003 <br />'.15 <br />.004 . .2004 <br />.005 <br />.005 <br />10° <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 />E=.001 <br />.003 .004 '.006 .007 <br />.008 ,.009 <br />.011 <br />.012 <br />014 .015 017 <br />.018 <br />.020 <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 />15° <br />E =.003 <br />,.007 .010 .014 .018 <br />.023 .027 <br />.029 <br />.032 <br />.035 ..039 ..043 <br />.047 <br />.051 <br />20° <br />1165.7 <br />32 <br />.39 45 <br />.51 <br />202:12 ' <br />37 <br />1917.1 <br />312:2 <br />10 <br />B=,006 <br />.011 017 .022 .028 <br />034 .038 <br />.045 <br />051 <br />.057 .063 .070 <br />.076 <br />.083 <br />25° <br />1183.1 <br />33 40 <br />49 58 <br />67 <br />75 <br />'.83 <br />1.127 <br />L.136 <br />30 <br />E=.009 <br />.018 027 038 _048 <br />058 .065 <br />.074 <br />.083 <br />.093 108 .120 <br />1945.0 <br />. 321.1 <br />I <br />Tesim 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 />Tangent <br />External <br />Int. <br />Angle ' <br />Tangent <br />External <br />22° <br />..1113.7 <br />107.24 <br />X29° <br />1481.8. <br />188:51 : <br />36° . <br />1861.7, <br />294.9 <br />VY <br />1122.4 <br />108.90 <br />101 <br />1490.7 <br />190.74 <br />101 <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 />'. <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 />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 />'345.5 <br />25 <br />1270.2 <br />139.11 <br />32' <br />1643.0 <br />230.9 <br />89 <br />2629.0 <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 i <br />40 <br />2066.6 <br />"361.3 <br />50 <br />1314.0 <br />148.75 <br />' <br />`' 50 <br />1688.1 <br />243.5 ; <br />50 <br />2076.0 <br />' 364.5 <br />E6 <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 />.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 />1446:3 <br />179.72 <br />20 <br />1824.9' <br />283.6 . <br />20 <br />12218.6 <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 />Int <br />Angle Cnive 50 <br />-10° <br />15° <br />20° <br />25°' <br />30° <br />35° <br />40° <br />45° <br />50°' <br />55° <br />-60° <br />65° <br />790 <br />20° T=.06 <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 />25° .' T=:03 <br />'.16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.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 />.046 <br />.050 <br />.065 <br />..074 <br />.033 <br />.093 <br />•.106 <br />.120 <br />:.127 <br />.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 />1.20 <br />1.29 <br />1.39 <br />' E=.013 <br />',025 <br />.038 <br />.051 <br />.065 <br />.073 <br />.090 <br />.103 <br />.116 <br />.129 <br />.149 <br />.170 <br />.179 <br />.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 />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 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 />.2031'.22304 <br />'.265 <br />.277 <br />'1940 <br />.315 <br />.341 <br />45° T=:15 <br />.30 <br />.44 <br />.60 <br />,.76 <br />.91 <br />1.08 <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 />.446 <br />