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r <br />.0 _ .' <br />TAi3LE <br />I: - <br />Tangents <br />and Externals <br />25° <br />to a 1° Curve.. <br />• <br />40° <br />TAB <br />E I. = Tangents <br />60° <br />and Externals <br />to <br />a 1° Curlre. <br />T.=.06 <br />III <br />35° <br />40° <br />45' <br />Chord <br />=100 <br />f t: <br />70°-rj <br />5o T=.02 .03 <br />.05 <br />.34 <br />.90 <br />Chord <br />=.100.ft:' <br />..13 <br />.15 <br />.16 .18 <br />-.20. <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />Eiternal <br />Int. <br />,Angle <br />Tangent <br />Fzternal Int:. • <br />Int. <br />Angle <br />:003 <br />External <br />Int <br />'Angle <br />Tangent <br />External <br />Int. <br />Tangent <br />External <br />.75 <br />.19 <br />22 <br />.25 <br />23 <br />',31 .34 <br />.38- <br />.42 <br />Angle <br />_rrangent <br />.004 <br />.056 <br />..065 <br />.003 <br />.009 <br />.011 <br />012 <br />50:00' <br />:22 <br />BP' <br />•400.66 <br />,13.99 <br />'14.58 <br />16° <br />754.32 <br />1173.7- <br />107.24' <br />29° <br />1481.8 <br />158.51 <br />36° <br />9861.7 <br />1° <br />10' <br />449,44`x,, 2Ro <br />294.9 <br />20 <br />58.34' <br />66.67. <br />.30 <br />10'- <br />409.03 <br />.029 <br />10' <br />-762:80 <br />.50.55'- <br />'1122.. - <br />108.90 <br />1001 <br />1490.7 <br />190.74 <br />10' <br />1870.9 <br />297.7 <br />30 <br />75.01 <br />.39., <br />-20- <br />417.41 <br />15.18 <br />20 <br />77.1:29 <br />51.65 -]0' <br />20-, <br />1131:0. <br />110.57 <br />20 <br />1499.G <br />192.99 <br />20 <br />9880.1 <br />300.6 <br />40 <br />83.34 <br />.49 <br />6,1 <br />30 <br />40' <br />425.79 <br />434:17 <br />15.80 <br />30 <br />-779::77,. <br />52.52 . = 30 <br />1139:7 <br />11`.15 <br />30' <br />1505.5 <br />195.'25 <br />30 <br />9389.4 <br />303.5 <br />50 <br />91.68 <br />.074 <br />50 <br />442.55 <br />16.43 <br />" 17.07, <br />40 <br />788.,26 <br />53.97 <br />, 40- <br />1148.4_ <br />113.95 <br />40 <br />1517.4 <br />197.53 <br />40 <br />1598.6 <br />306.4 <br />_, <br />451 <br />;.73 <br />w0 <br />.44 <br />.60 <br />5U <br />796:75 <br />-55.13 50 ` <br />1157:0' <br />115.66 <br />50 <br />1526.3 <br />199.82 <br />50 <br />1907.9 <br />309.3 <br />2 <br />10 <br />100.01 <br />108.35 <br />.87 <br />1.02' <br />9 <br />450.93' <br />17.72 <br />'. <br />16' <br />505.25' <br />•56.31; 9.3 _ <br />1165:7 <br />117.38 <br />30 <br />1535.2 <br />,202.12 <br />37 <br />1917.4 <br />312.2- <br />20 <br />116.08 <br />1.19 <br />10.' <br />20• <br />,459.32 <br />18.38.' <br />10 <br />813.7 <br />'822.25 <br />57,50' , <br />]0" <br />1174.4 <br />1'9.12 <br />10 <br />1544.2 <br />,204.44 <br />SO <br />19`16.4 <br />315.2 <br />30 <br />125.02. <br />1.36 <br />30 <br />•467.71 <br />476.10 <br />19,06 <br />19.75. <br />.20' <br />58.70 ( 20 <br />1133.1 <br />1_0.87 <br />20 <br />1553.1 <br />06.77 <br />20 <br />1935.7 <br />318.1 <br />40. <br />133.36 <br />1.55 <br />30: <br />830.76 <br />59.91 30 <br />1191.5 <br />122.43 <br />30 <br />1562.1 <br />209.12 <br />30 <br />1945.0 <br />324.1 <br />50 <br />1.75 <br />40 .'484.49 <br />50..492.88 <br />20.45 <br />'21.16 <br />40 <br />839.27 <br />61.14 40- <br />1'L00.5 <br />124.1 <br />40 <br />1571.0 <br />211.43 <br />40 <br />1954.3 <br />34.1 <br />.141.70 <br />50 <br />847:78 <br />62.35 50 <br />1209.2 <br />126.20 <br />50 <br />1550.0 <br />213.86 <br />50 <br />1903.6 <br />327.1 <br />3 <br />150.04. <br />1.96 <br />. 10. <br />501.28 <br />21.89 <br />17- . <br />856.30. <br />'63.63 24 <br />123.00 <br />31 <br />1589.0 <br />216.3 <br />38 <br />7972.9 <br />330.2 <br />10 <br />20 <br />155.38 <br />166.12 <br />2.19 <br />10 <br />509.68 <br />22.62 <br />70 <br />864.52 <br />64.90 + 10 <br />117:9 <br />1226.0 <br />1_9.32 <br />10' <br />1598.0 <br />2'8.7 <br />10 <br />1982.2 <br />333.2 <br />30 <br />175.06 <br />2.43 <br />2.67 <br />20. <br />518.08 <br />23.35 <br />20. <br />573.35 <br />66.15 20 <br />1235.3 <br />131 65 <br />20 <br />1606.9 <br />221.1 <br />20 <br />1.91.5 <br />336.3 <br />40 <br />153.40 <br />2.93 <br />30 <br />526.48 <br />21.14' <br />30• <br />SS1.88 <br />67.47 30 <br />1244.0 <br />133.50 <br />30 <br />1615.9 <br />223.5 <br />30 <br />2000.9 <br />339.3 <br />50 <br />191.74 <br />3.21 <br />90" <br />50 <br />534.59 <br />543.29' <br />34.01 <br />25.70 <br />40 <br />•890.41 <br />6S.77 40 <br />152,5 <br />135.35 <br />40 <br />16,24.0 <br />296.0 <br />40 <br />2010.2 <br />342.4 <br />50 <br />898.95 <br />70.09 50 <br />1_61.5 <br />137.23 <br />50 <br />1633.9 <br />23.4 <br />50 <br />2019.6 <br />345.5 <br />D <br />4 / <br />10 <br />200.05 <br />208.43 <br />3.49. <br />3.79 <br />11 <br />10 <br />551.70 <br />560.11 <br />26.50 <br />27.31 <br />1S <br />10 <br />•907.49 <br />916.03. <br />71.42 25 <br />72.76 <br />1270.2 <br />.139.11 <br />32 <br />10 <br />1643.0 <br />1652.0' <br />230.9 <br />233.4 <br />39 <br />10 <br />2029.0 <br />2038.4 <br />348.6. <br />351.8. <br />�1 20 <br />30 <br />216,77 <br />225.12 <br />4.10 <br />4.42 <br />20 <br />30 <br />56S.53 <br />576.95 <br />28.14 <br />28.92 <br />.20 °- <br />30 <br />924.55 <br />933.13 <br />10. <br />74.12 20 <br />1279:0 <br />1287.7" <br />141.01 <br />142.93 <br />- '20 <br />7661.0 <br />235.9 <br />20 <br />2047.5 <br />354.9 <br />` 40 <br />233.47 <br />4.76 <br />40' <br />585.39 <br />20.8:, <br />75.49 .30 <br />1296.5 <br />144.85 <br />30 <br />1670.0 <br />23S.4 <br />30 <br />2057.2 <br />358.1 <br />+ <br />241.51 <br />5.10, <br />50 <br />593.19 <br />30.63 <br />40 <br />941.69' <br />76.56 40 <br />1305.3 <br />.146.70 <br />40 <br />1679.1 <br />2.11.0 <br />40 <br />2066.6 <br />361.3 <br />.'5U <br />50 <br />050.25 <br />78.26 LO <br />1314.0 <br />143.75 <br />50 <br />1688.1 <br />243.5 <br />50 <br />2016.0 <br />364.5 <br />S <br />10 <br />250.16 <br />253.51 <br />5.46 <br />-12 <br />602.21 <br />31.56 <br />19 <br />95S.81 <br />79.6726 <br />1322.5 <br />150.71 <br />33 <br />1097.2 <br />246.1 <br />40 <br />1085.4 <br />367.7 <br />0 <br />266.86' <br />5. <br />6.2121 <br />10 <br />20 <br />610.07 <br />619.07 <br />32:45 <br />10 <br />967.38 <br />51.09 10 <br />1331.6 <br />152.69 <br />10 <br />1706.3 <br />248.7 <br />10, <br />2094.9 <br />371.0 <br />30 <br />275.21• <br />6.61 <br />30 <br />627..50 <br />33.35 <br />34.26 <br />20 , <br />30 <br />975.96 <br />82.53 20 <br />1340.4 <br />154.69 <br />20 <br />1715.3 <br />251.3 <br />20 <br />2104.3 <br />374.2 <br />, <br />40 <br />283.57 <br />7.01 <br />40 <br />635.93 <br />-35,18 <br />- <br />954.53' <br />993.12 <br />53.07 130 <br />1349.2 <br />156.70 <br />30 <br />1724.4 <br />253.9 <br />30 <br />2113.8 <br />377.5 <br />50 <br />291.92 <br />7.43 <br />50, <br />644.37 <br />. <br />36.12 <br />,40 <br />5Q- <br />1001.7' <br />55.43 4U <br />1355.0 <br />158:7`2 <br />90 <br />173.5 <br />256.5 <br />40 <br />2123.3 <br />330.8 <br />56.90 50 <br />1306.8 <br />160:70 <br />50 <br />174. G <br />259.1 <br />50 <br />2132:7 <br />334.1 <br />6 <br />300.25 <br />1308. <br />7.56 <br />13 <br />652:81 <br />37.07 <br />20 <br />1010.3 <br />SS.39 til <br />1375.6 <br />1G2.S1 <br />34 <br />1751.7 <br />261.3 <br />41 <br />2142.2 <br />387.4 <br />10 <br />CIL <br />8.31 <br />10 <br />661.25 <br />38.03 <br />10 <br />1015.9 <br />SM9 10 <br />1381.4 <br />10 <br />1760.8 <br />264.5 <br />10 <br />2151.7 <br />390.7 <br />20 <br />30 <br />316.09 <br />32,5.3a <br />S.7G <br />20 <br />669.70 <br />39:01 <br />.20 <br />1027.5_ <br />91.40 20 <br />1393.2' <br />.164.86 <br />166.95 <br />20 <br />1770.0 <br />267.2 <br />20 <br />21G1.`L <br />394.1 <br />9.23 <br />30 <br />675.15 <br />39.99 <br />u0 <br />1036.1 <br />92.9'3 30 <br />1402.0 <br />169.04 <br />30 <br />1779.1 <br />269.9 <br />3D <br />2170.8, <br />397.4 <br />90 <br />333.71• <br />9.71 <br />40 <br />636.60 <br />40.99 <br />40 <br />1044.7 <br />9.1.46 40 <br />1410.9 <br />.171.15 <br />40 <br />1755.2 <br />272.6 <br />4D <br />2150.3 <br />400.8 <br />50 <br />342.08 <br />10.20 <br />50 <br />695.06 <br />42.00 <br />50 <br />1053.3 <br />96.01 50 <br />1419.7 <br />'173.27 <br />50 <br />1797.4 <br />275.3 <br />50 <br />2189.9 <br />404.2 <br />7 <br />350.44 <br />10.71 <br />703.51 <br />_ 43.03 <br />21 <br />1001.9. <br />97.57.' 28 <br />1428.6'' <br />175.41 <br />35. ' <br />1806'.6' <br />273.1 <br />42 <br />2199.4 <br />407.6 <br />10 <br />358.81. <br />11.22 <br />- 10 <br />711.97 <br />44.01 <br />10- <br />1070.6 <br />99.IG >� 10 <br />1437.4 <br />177.-5:5 <br />10 <br />181:1.7 <br />280.8 <br />10 <br />2 209.0 <br />411.1 <br />20 <br />367.17 <br />11.75 <br />20 <br />720.44 <br />45.12 <br />2 U <br />1079.2 ••]00.75 <br />20 <br />144GA <br />170:72 <br />20 <br />1S24.9 <br />253.6 <br />20 <br />2215.6 <br />414.5 <br />30 <br />375.54 <br />12.29 <br />30 <br />725.90 <br />46.18. <br />30 <br />IUS7.8 <br />102.35 1 30 <br />1455.1 <br />191.89 <br />SO <br />1834.1 <br />-250.4 <br />30 <br />2228.1 <br />418.0 <br />40 <br />853.91 <br />12.85 <br />40 <br />737.37 <br />47.25 <br />40` <br />1090.4' <br />703.97 .10 <br />1464.0' <br />184.08 <br />'40 <br />1843.3 <br />259.2 <br />40 <br />2237.7 <br />421.4 <br />50 <br />392.25 <br />13.41 <br />•50 <br />745.95 <br />48.34 <br />50 <br />1105.1 <br />lo5.G0 y0. <br />1.472:9 <br />186.29 <br />50 <br />1852.5 <br />292,0 <br />50 <br />2247.3 <br />425.0 <br />Corrections <br />to be <br />Added <br />(T =Tangent. <br />E _ external.) <br />Corrections <br />to be <br />Added <br />(T= Tangen <br />t. <br />E= External. <br />) <br />- <br />_ :; <br />lug. <br />Angle <br />Curve S° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° 55° <br />60° <br />Angle Curve 5InL ° 10° <br />8 <br />15° <br />200 <br />T.=.06 <br />30' <br />35° <br />40° <br />45' <br />50° 55°. <br />60°� <br />65°- <br />-:21 <br />70°-rj <br />5o T=.02 .03 <br />.05 <br />.34 <br />.90 <br />.10 <br />.11 <br />..13 <br />.15 <br />.16 .18 <br />-.20. <br />.034 <br />23 <br />E =.000 .000 <br />.001 <br />.057 .063 <br />T.13.1 <br />.GD2 <br />.002 <br />.003 <br />:003 <br />.004 .004 <br />.004 <br />.005 <br />v <br />.005- <br />100 T=.03 016 <br />.09 <br />.67 <br />.75 <br />.19 <br />22 <br />.25 <br />23 <br />',31 .34 <br />.38- <br />.42 <br />.46,, <br />E=.001 .003 <br />.004 <br />.056 <br />..065 <br />.003 <br />.009 <br />.011 <br />012 <br />.014 .015 <br />.017 <br />.018 <br />.020= <br />T =.04 .10 <br />.14 <br />.39 <br />49 <br />.29 <br />.34 <br />,39 <br />.45 <br />.11 .53` <br />.5S <br />.63 <br />.68 <br />E=.003 .007 <br />.010 <br />.025 <br />:038 <br />.023 <br />.027 <br />.029 <br />.032 <br />.035 .039 <br />.043 <br />..041 <br />.051 <br />20o T=.06 .13 <br />.19 <br />.26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58' <br />.65 .72 <br />-.79 <br />.84 <br />.90 <br />E=.006 .011 <br />.017 <br />.022 <br />.028 <br />,D34 <br />.038 <br />.015 <br />.051 <br />; 0.57 .063 <br />.070 <br />•.076 <br />.CS3 <br />o T=.08 .16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.53 <br />.6,7 <br />.75- <br />:83 .90 <br />.99 <br />1.06 <br />1.14,' <br />E=.009' .018 <br />.027 <br />.036 <br />.045 <br />.056 <br />.065 <br />.074 <br />..653 <br />.019.3 .106 <br />.120 <br />.127 <br />.135 <br />e <br />lug. <br />Angle <br />Curve S° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° 55° <br />60° <br />65° <br />70°. <br />200 <br />T.=.06 <br />.13 <br />.19 <br />.26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 <br />.65 .72 <br />.79 <br />.34 <br />.90 <br />_ _ <br />E=.006 <br />=.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.045 <br />.051 <br />.057 .063 <br />.070 <br />.076 <br />.083 <br />250 <br />.T=.08: <br />.16 <br />24 <br />.33 <br />.40 <br />A9 <br />.58 <br />.67 <br />.75 <br />_83 x.90 <br />.99 <br />1.06 <br />1.14 <br />E =.009 <br />.018 <br />.027 <br />.036 <br />.046 <br />.056 <br />..065 <br />.074 <br />.083 <br />.093 .106 <br />.120 <br />.127 <br />.135 <br />30° <br />T=.10 - <br />.19 <br />.29 <br />.39 <br />49 <br />.59 <br />.69 <br />.79 <br />.89 <br />.99 :1..09 <br />1.20 <br />129 <br />1.39 <br />E=.013 . <br />.025 <br />:038 <br />.051 <br />.065 <br />.075 <br />.090 <br />.103 <br />.116 <br />.129 .149 <br />.170 <br />.179 <br />.188 <br />35° <br />T=.11 <br />22 <br />3.4 <br />.47 <br />.58 <br />.69 <br />.80 <br />.93 <br />].OS <br />1.17 L.29 <br />1.42 <br />1.54 <br />1.66 <br />.035 <br />.054 <br />.072 <br />.036 <br />.109 <br />.131 <br />.153 <br />.175 <br />.197 .213 <br />230 <br />.247 <br />.264 <br />4o0 <br />T=.13 <br />2G ' <br />.40 <br />.53 <br />.67 <br />.80 <br />.03 <br />1.061.20 <br />1.34 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 />.203 <br />.234 <br />.205 .277 <br />.290 <br />.315 <br />.341 <br />451 <br />T=.15 <br />w0 <br />.44 <br />.60 <br />.76 <br />.01 <br />1.08 <br />1.21 <br />1.37 <br />1.52 1.70 <br />1.87 <br />2.04 <br />2.21 <br />E=.0.10 <br />.060 <br />.093 <br />.110 <br />.153 <br />.154 <br />.216 <br />..254 <br />289 <br />.325 .351 <br />378 <br />.411 <br />.445 <br />7 <br />