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TABLE I. = Tangents and Externals to-a.l° Curve. <br />' Chord =100 ft. <br />Angle <br />Tangent <br />External <br />' 'Int. <br />35° <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />1°,. <br />50.00 <br />:22 <br />8°: <br />400.66 <br />13.99 <br />15° <br />754,32 <br />49.44 <br />10' <br />55.34 <br />.30 <br />10409.03 <br />.21 <br />- 14.58 <br />101' <br />762.'W <br />1,,60.55 <br />20 <br />'66.67 <br />.39 <br />_ 20_417.41 <br />.004 <br />15_.18 <br />20_ <br />71: <br />51.6S <br />30 <br />75.01 <br />.49 <br />30425.79 <br />.22 <br />15.50 <br />, <br />30 <br />.729. <br />•779.77 <br />52.82 <br />40. <br />'83:31 <br />..61 <br />401 <br />434.17' <br />16.43 <br />40 <br />788:'26 <br />53.97 <br />50 <br />91.65 <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 />IOS.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.OG <br />20 <br />822.25 <br />53.70 <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 />62.35 <br />3 <br />150.04 <br />1.96 <br />10 <br />501.25 <br />21.S9 <br />17 <br />556.30. <br />63.63 <br />10 <br />158.38' <br />2.19 <br />10 <br />509.68 <br />22.62 <br />10 <br />S64.82 <br />64.90 <br />20 <br />166:72 <br />2.43 <br />20 <br />518.08 <br />23.35 <br />20 <br />573.35 <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 />',5O <br />598.95 <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 />2W.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 />565.53 <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 />25.97 <br />•30 <br />933.13 <br />75.49 <br />40 <br />233.47 <br />4.76 <br />40 <br />'585.36 <br />29.52 <br />40_ <br />941:69 <br />70.56 <br />50 <br />241.81 <br />5.10 <br />50 <br />593.79 <br />30.GS <br />50 <br />950.25 <br />78.26 <br />5. <br />2,50. If, <br />5.46 <br />12 <br />602.21 <br />31.56 <br />19 <br />95S.S1 <br />79.67 <br />10 <br />258.51 <br />5.83 <br />10 <br />G10:G4 <br />32.45 <br />10 <br />967.38 <br />51.09 <br />20 <br />266.8G <br />6.21 <br />20 <br />619.07' <br />33.35 <br />20 <br />975.96 <br />'52.53 <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 />35.15 <br />40' <br />993.12 <br />85.43 <br />50 <br />291.92 <br />7.43 <br />50 <br />644.37 <br />3G.12 <br />50 <br />1001.7 <br />86.90 <br />50 <br />1366.8 <br />160.7G <br />50 <br />1742.6 <br />259.1 <br />50 <br />2132.7 <br />354.1 <br />6 <br />300.25 <br />7.53 <br />: 13 <br />652.81 <br />37.07 <br />20 <br />1010.3 <br />SS.39 <br />10 <br />308.64 <br />8.31 <br />10.' <br />661.25' <br />38.03 <br />10' <br />1018.9 <br />89.59 <br />20, <br />31G.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 />39.09 <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 />-34.2.OS' <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 />355.81 <br />11.22 <br />10 <br />711.97 <br />44.07 <br />10 <br />1070.0 <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 />725.90 <br />. 46.18 <br />30 <br />lOS7.8 <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. e Cnn a 5° <br />Angl <br />10° <br />15° .20° <br />25° 3D° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65°''70° <br />55° <br />S. T=.02 <br />.03 <br />.05 .06 <br />.08 . .10' <br />.I1 <br />'.13 <br />.15 - <br />;.16.18.20 <br />.107.24 <br />29° <br />.21 <br />23 <br />E=.000 <br />.000 <br />.001 .001 <br />.002 .002 <br />.002 <br />.003 <br />.003 <br />.004 <br />.004 <br />.004 <br />,.005 <br />205 <br />10o T=.03 <br />.06 <br />.09 .13 <br />.16 .19 <br />.22 <br />.26 <br />.28 <br />.31 <br />.34 <br />.38 <br />.42 <br />.46 <br />E=.001 <br />.003 <br />.004 .006 <br />.007 .008 <br />MU <br />.011 <br />7.022 <br />.014 <br />.015 <br />.017 <br />.018 <br />.020 <br />ISo T=.04 <br />.10 <br />.14 .19 <br />.24 ` :29 <br />.34 <br />.30- <br />.45 <br />.51 <br />.53 ' <br />.58 <br />.63' <br />.63 <br />E=.003 <br />.007 <br />.010 .014 <br />.018 .023 <br />.027 <br />.:029 <br />.032 <br />.035 <br />.039 <br />.043 <br />.047 <br />.051 <br />200' T=.OG <br />.13 <br />.19 .26 <br />.32 :39 <br />.4.5 <br />.51 <br />53 <br />.65 <br />.72' <br />.79 <br />84 <br />.90 <br />E =.006 <br />.011 <br />-017 .022 <br />-028 .034 <br />.-038 <br />_,015 <br />.051 <br />.057 <br />.063 <br />.070 <br />-076 <br />.OSS <br />250, T=.08 <br />16 <br />.24 .33 <br />.40 .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 .036 <br />.046 .056 <br />.065 <br />.074 <br />.083 <br />.•:093 <br />.106 <br />.120 <br />.127 <br />.135 <br />J:. <br />. TABin I._- Tangents and Externals t -o a 1* Curve. III <br />4 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 />145° <br />50° <br />55° <br />60° <br />65° 70° <br />20° <br />-T=-06' <br />.13 <br />:19' <br />22° <br />1113.7. <br />.107.24 <br />29° <br />1481.8 <br />158.51 <br />36° <br />1801.7 <br />294.9 <br />" 1ZY <br />1122:4` <br />+ 108.90 <br />10' <br />' 1.190.7 <br />190.74 <br />10' <br />1570.9 <br />297.7 <br />= 20 <br />:113ltO <br />110.57 <br />'20 <br />1499.6 <br />192.09 <br />20 <br />1880.1 <br />300.6 <br />30 <br />1139:7 <br />113.25 <br />30 <br />1508.5 <br />195.25 <br />30 <br />X1859.4 <br />303.5 <br />-40 <br />'1145:4 <br />113.05 <br />40 <br />1517.4 <br />-197•.53 <br />40 <br />1598.6 <br />306.4 <br />50 <br />.1157`.0 <br />115.66 <br />50 <br />1526.3 <br />109.52 <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 />120.57 <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 />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 />19S2.2 <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 />124.1.0 <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 />34.5.5 <br />25 <br />1270.2 <br />139.11 <br />32 <br />1643.0 <br />250.9 <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 <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 <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 />2016.0 <br />364.5 <br />26 <br />1322.8 <br />150.71 <br />33: <br />1G97.2. <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 />-25L.3 <br />20 <br />2104.3 <br />374.2 <br />30 <br />1349.2 <br />156.70 <br />..30 <br />1724.4 <br />253.0, <br />30 <br />2113.8, <br />377.5 <br />40 <br />1355.0 <br />153.72 <br />.'40 <br />1733.5 <br />256.5• <br />40 <br />2123:3. <br />380.8 <br />50 <br />1366.8 <br />160.7G <br />50 <br />1742.6 <br />259.1 <br />50 <br />2132.7 <br />354.1 <br />27 <br />1375.6 <br />162.81 <br />31 <br />1751.7 <br />201.8 <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 />166.95 <br />20 <br />1770.0 <br />267.2 <br />20 <br />2161.2 <br />394.1 <br />30 <br />_1393:2 <br />1402.0 <br />169.04 <br />30 <br />1779.1 <br />260.9 <br />30 <br />2170.3 <br />397.4 <br />40 <br />1410.9. <br />171.15 <br />.40 <br />17SS.2 <br />272.6 <br />40 <br />2150.3 <br />400.8 <br />50 <br />1419.7 <br />173.27 <br />50 <br />1797.4 <br />275.3 <br />50 <br />2139.9 <br />404.2 <br />28 ' <br />1428.6 <br />17:1.41' <br />35,''. ' <br />1806:G. <br />278. V <br />42 <br />2199:4 <br />407.6 <br />.10 <br />1437.4' <br />177.55 <br />10 <br />.1815.7 <br />280.3 <br />10 <br />2209.0 <br />- 411.1 <br />20.- <br />1446.3 <br />179.72 <br />- 20' <br />189.1.9, <br />283.0 <br />20 <br />2218.6 <br />414.5 <br />30 <br />1S1'.S9 <br />30 <br />1S34.1'1-286. <br />4 <br />30 <br />2228.1 <br />415.0 <br />40 <br />,1455.1' <br />1464.0 <br />`,1S4.08 <br />40 <br />1843.3. <br />2S9.2; <br />40 <br />2237.7 <br />4'21.4 <br />50 <br />1472:9 <br />1SG.29 <br />50 <br />1552.5 <br />292.0 <br />5O <br />2247.3 <br />425.0 <br />Corrections to be Added (T = Tangent. E = External.) <br />Int.Curve <br />Angle.., <br />5° <br />10° <br />.15° <br />20° <br />25° <br />30° <br />35°- <br />40' <br />145° <br />50° <br />55° <br />60° <br />65° 70° <br />20° <br />-T=-06' <br />.13 <br />:19' <br />.2G <br />.32.39 <br />45 <br />SL <br />58 <br />.65 <br />.72 <br />.79 <br />.84 .90 <br />E=.006- <br />.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.033 <br />.015 <br />..051 <br />.057 <br />.063 <br />.070 <br />.076 .083 <br />25o <br />-Y= <br />.16.24 <br />.33 <br />.40 <br />.49 <br />-58 <br />-67 <br />.75 <br />.83 <br />.90 <br />.99 <br />1.06 1.14 <br />E=.009 <br />.018 <br />.027 <br />-036 <br />-046 <br />.056 <br />.OG5 <br />.074 <br />.033 <br />.093 <br />.106 <br />.120 <br />.127 .135 <br />30° <br />T=.10 <br />.19 <br />�9 <br />.39 <br />k9 <br />.59 <br />.69 <br />..79 <br />.80 <br />.99 <br />1.09 <br />120 <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° <br />'-T=.11 <br />22 <br />:.34 <br />47 <br />.58 <br />.69 <br />.80 <br />.93 <br />:1.05 <br />1.17, <br />1.29 <br />1.42 <br />1.54 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 />400 <br />T=.13 ' <br />26 <br />.40 <br />.53 <br />-.G7 <br />.80 <br />.93 <br />1.00 <br />1.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 1.94 <br />_ <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 />45° <br />'T.=.15 <br />30 <br />1 .44 <br />.60 <br />.70 <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 />.2161 <br />.254' <br />.289 <br />.325 <br />.351 <br />.378 <br />.411 .445 <br />!I <br />