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II ' TABLE I. - Tangents and -Externals to a 1° Curve. <br />. Chord =100 -f t. <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 />1° <br />50'00 <br />.22 <br />8° <br />400.66 <br />'13.99 <br />15° <br />754.32 <br />40.44 <br />10' <br />55.34 <br />.30 <br />10' <br />409.03 <br />14.55 <br />10'' <br />762.80 <br />50.55 <br />20 <br />GG.67 <br />.39 <br />20_ <br />417.41 <br />15.18 <br />20 <br />771.29 <br />51.65 <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 />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 />796:76 <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 />530.76 <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 />62.33 <br />3 • <br />150.04 <br />1.96 <br />10 <br />501.28 <br />21.59" <br />17 - <br />856.30 <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 />518.03 <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 />581.88 <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 />598.05 <br />70.09 <br />4 <br />200.08 <br />3.49 <br />11 <br />551.70 <br />26.50 <br />1S <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 />72.7G <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 />25.07 <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 />041.69 <br />76.SG <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 />b <br />250.16 <br />5.46 <br />12 <br />602.21 <br />31.56 <br />19 <br />058.81 <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 />51.09 <br />20 <br />266.86 <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 />53.97 <br />40 <br />283.57 <br />7.01 <br />40 <br />635.93 <br />35.18 <br />40 <br />993.12 <br />55.43 <br />50 <br />291.92 <br />7.43 <br />50 <br />G44.37 <br />36.12 <br />50 <br />1001.7 <br />56.90 <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 />35:03 <br />10 <br />1018.9 <br />S9.S9 <br />20 <br />316.99 <br />5.76 <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 />.695.06 <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 />_ <br />1070., <br />99.]G <br />20 <br />367.17 <br />11.75 <br />20 <br />720.44 <br />45.12 <br />20 <br />1070.2 <br />100.75 <br />30 <br />375.54 <br />12.29 <br />30 - <br />723.90 <br />46.18 <br />30 <br />1087.8 <br />102.35 <br />40 <br />353:91 <br />12.55 <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 />745.55 <br />48.34 <br />50 <br />1105.1 <br />105.60 <br />Corrections to be Added (T=Tangent. E=External.) <br />AnglInt.e <br />Curse 5° <br />10° 15° <br />20° <br />25° <br />30° <br />35° <br />40° 45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />50 <br />T=.02 <br />,.03 -05.06 <br />1861.7 <br />.08 <br />.10 <br />.11 <br />.13 .15 <br />.16 <br />.18 <br />.20 <br />21 <br />•°'3, <br />2'J7.7 <br />E=.000 <br />.000 .001 <br />.001 <br />-.002 <br />.002 <br />.002 <br />.003 .003 <br />.004 <br />.004 <br />:004 <br />.005 <br />.0W <br />10° <br />T =-03 <br />.06 .09 <br />.13 <br />.16 <br />.19 <br />.22 <br />.25 .28 <br />.31 <br />.34 <br />.38 <br />.42 <br />746 <br />1898.6 <br />E=.001 <br />.003 .001 <br />.008 <br />.007 <br />.008 <br />.009 <br />.011 .012 <br />•.014 <br />.015 <br />.017 <br />.018 <br />.02 <br />15° <br />T=.04 <br />.10 .14 <br />.19 <br />.24 <br />.29 <br />.34 <br />.39 .45 <br />.51 <br />.53 <br />.5$ <br />.63 <br />.68 <br />10 <br />E =.003 <br />,0(17 .010 <br />.014 <br />.018 <br />.023 <br />.027 <br />.029 .032 <br />.035 <br />.039 <br />,043 <br />.047 <br />.051 <br />20° <br />T=.06 <br />.13 .19 <br />.26 <br />.32 <br />.39 <br />.45 <br />.51 .5S <br />.65 <br />.72 <br />.79 <br />-.84 <br />.90 <br />211.48 <br />R =.006 <br />.011 .017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.045 .0.51 <br />-057 <br />.OG3 <br />.070 <br />.076 <br />.083 <br />25° <br />T=.08 <br />.16 .24 <br />.33 <br />.40 <br />.40 <br />.58 <br />G7 .75 <br />.83 <br />SO <br />99 <br />1.06 <br />1.14 <br />1593.0 <br />E=.009 <br />.018 .027 <br />.038 <br />.048 <br />.058 <br />.085 <br />.074 .DS3 <br />.093 <br />.106 <br />.120 <br />.127 <br />.135 <br />i <br />4 <br />TABLE L - Tangents and Externals to a 1° Curve: IIZ <br />Chord=100ft. ' <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 />29° <br />1481.8 <br />188.51 <br />36° <br />1861.7 <br />294.9 <br />UY <br />-1122.4 <br />108.90 <br />10' <br />1490.7 <br />190.74 <br />1lY <br />1870.9 <br />2'J7.7 <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 />114S.4 <br />113.9:; <br />40 <br />1517.4 <br />197.53 <br />40 <br />1898.6 <br />308.4 <br />-56 <br />1157-A' <br />115,GG <br />50 <br />1526.3 <br />199.82 <br />50 <br />1907.9 <br />309.3 <br />23 <br />1163.7 <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 />1153.1 <br />120.87 <br />20 <br />1553.1. <br />206.77 <br />20 <br />193.5.7 <br />315.1 <br />30 <br />1191:8 <br />12`2.63 <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 />120.20 <br />50 <br />1580.0 <br />213.86 <br />50 <br />-19G3.6 <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 />129.52 <br />10 <br />1593.0 <br />218.7 <br />10 <br />198`2.2 <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 />137.73 <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 />39 <br />2029.0 <br />348.6 <br />10 <br />1279.0 <br />14.1 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 />1.14.85 <br />30 <br />1070.0 <br />238.4 <br />30 <br />2057.2 <br />358.1 <br />40 <br />1305.3 <br />14G.79 <br />40 <br />1679.1 <br />241.0 <br />40 <br />2066.6 <br />361.3 <br />50 <br />1314.0 <br />1.18.75 <br />50 <br />1688.1 <br />243.5 <br />50 <br />2076.0 <br />'364.5 <br />26 ' <br />1322.3 <br />150.71 <br />33 <br />1697.2 <br />246:1 <br />40 <br />2055.4 <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 />136G.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 />1G2.81 <br />34 • <br />1751.7 <br />261.3 <br />41 <br />2142.2 <br />357.4 <br />10 <br />1384.4 <br />LG4.86 <br />10 <br />1760.8 <br />264.5 <br />10 <br />2151.7 <br />300.7 <br />20 <br />1393.2 <br />166.95 <br />20 <br />1770.0 <br />267.2 <br />20 <br />21G1.2 <br />394.1 <br />'30 <br />1402.0 ' <br />169.41 <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 />2159.9 <br />441.2 <br />28 <br />1428.6 <br />175.41 <br />35 <br />1306.6 <br />278.1 <br />42 <br />2199.4 <br />407.0 <br />10 <br />1437.4 <br />177:55 <br />10 <br />1815.7 <br />280.8 <br />10 <br />2200.0 <br />411.1 <br />20 <br />1446.3 <br />179.72 <br />20 <br />IS24.9 <br />283.6 <br />20 <br />2218.6 <br />414.5 <br />30 <br />1455.1 <br />181.59 <br />30 <br />1.534.1 <br />286.4 <br />30 <br />2228.1 <br />418.0 <br />40 <br />1464:0 <br />184.OS <br />40 <br />1543.3 <br />289.2 <br />40 <br />2237.7 <br />421.4 <br />50 <br />1472.9 <br />1SG.29 <br />50 <br />1552.5 <br />202.0 <br />50 <br />2247.3 <br />425.0 <br />Corrections to be Added (T=Tangent. E=External.) <br />L. <br />glc - <br />n <br />Cua 5° <br />10° <br />15° 20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />1 65° 1 70° <br />1° <br />T=.06 <br />.13 <br />.19 .26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 <br />.65 <br />.72 <br />.79 <br />.84 .90 <br />E=.006 <br />.011 <br />.017 .022 <br />.028 <br />.034 <br />.038 <br />.415 <br />.051 <br />.057 <br />-063 <br />.070 <br />.076 .083 <br />S° <br />T=.08 <br />.18 <br />24 ' .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 .030 <br />.046 <br />.056 <br />.065 <br />.074 <br />.083 <br />.093 <br />.106 <br />.120 <br />.127 .MS <br />)° <br />T=.10 <br />.19 <br />.29 .39 <br />.49 <br />.59 <br />.69 <br />.79 <br />.89 <br />.09 <br />1.09 <br />1.20 <br />1.29 1.39 <br />E=.013 <br />.025 <br />.038 .O:il <br />.065 <br />.075 <br />.090 <br />.103 <br />.118 <br />.129 <br />.149 <br />.170 <br />.179 .188 <br />5° <br />T=.11 <br />22 <br />.34 .47.58 <br />.60 <br />.80 <br />- 93' <br />1.05 <br />1.17 <br />1.29 <br />1.42 <br />1.54 [.Go <br />E=.018 <br />'.035 <br />.054 :072 <br />.086 <br />.109 <br />.131 <br />.153 <br />- .175 <br />.197 <br />.213 <br />.230 <br />.247 .264 <br />)° <br />T=.13 <br />.2G <br />.40 .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 />E=:023 <br />.046 <br />.070 .093 <br />.117 <br />.141 <br />'.172 <br />.203 <br />.234 <br />.265 <br />.277 <br />.290 <br />.315 341 <br />5° <br />T=-15 <br />.30 <br />.44 .60 <br />.76 <br />.91 <br />1.06 <br />11.21 <br />1.37 <br />1`.,'Z, <br />1.70 <br />1.87 <br />2.04 2.21 <br />E=.030 <br />.000 <br />..093 .119 <br />.153 <br />AR <br />:216 <br />.254 <br />.289 <br />.32c <br />.351 <br />L78 <br />.411 .445 <br />�bo,3 <br />Z <br />