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d <br />■ <br />TABLE I. -MINUTES IN DECIMALS OF A DEGREE. <br />1 <br />.0167 <br />111 <br />AM <br />21' <br />.3500 <br />31/ <br />.5167 <br />41'.6833 <br />1° <br />511 <br />.8500 <br />2 <br />.0333 <br />12 <br />.2000 <br />22 <br />.3667 <br />32 <br />.5333 <br />42 <br />.7000 <br />52 <br />.8667 <br />3 <br />.0500 <br />13 <br />.2167 <br />23 <br />.3833 <br />'33 <br />.5500 <br />43 <br />.7167 <br />53 <br />.8833 <br />4 <br />.0667 <br />14 <br />.2333 <br />24 <br />.4000 <br />34 <br />.5667 <br />44 <br />.7333 <br />54 <br />.9000 <br />5 <br />.0833 <br />15 <br />.2500 <br />25 <br />.4167 <br />35 <br />.5833 <br />45 <br />.7500 <br />55 <br />.9167 . <br />6 <br />.1000 <br />16 <br />.2667 <br />26 <br />.4333 <br />36 <br />.6000 <br />46 <br />.7667 <br />56 <br />.9333 <br />7 <br />.1167 <br />17 <br />.2833 <br />27 <br />.4500 <br />37 <br />.6167 <br />47 <br />.7833 <br />57 <br />.9500 <br />8 <br />.1333 <br />18 <br />.3000 <br />28 <br />..4667 <br />38 <br />.6333 <br />48 <br />.8000 <br />58 <br />.9667 <br />9 <br />.1500 <br />19 <br />.3167 <br />29 <br />.4833 <br />39 <br />.6500 <br />49 <br />.8167 <br />59 <br />.9833 <br />10 <br />.1667 <br />20 <br />1 .3333 <br />30 <br />.5000 <br />40 <br />.6667 <br />50 <br />1 .8333 <br />60 <br />1.0000 <br />TABLE I1. -INCHES IN DECIMALS OF A FOOT. <br />%6 %2 3fi <br />I afic <br />Yic 9G 3a <br />�i5 I <br />117:38 <br />?4s <br />.0052 .0078 .0104 <br />.0156 <br />.0208 .0260 .0313 .0417 <br />.0621 <br />.0625 <br />.0729 <br />1 2 3 <br />4 <br />•5 6 7 8 <br />9 <br />to <br />11 <br />.0833 .1667 .2500 <br />.3333 <br />.4167 000 _ .5 .5833 .6667 <br />.7500 <br />.8333 <br />.9167 <br />TABLE III. -RADII, ORDINATES AND DEFLECTIONS. <br />Deg. <br />Radius <br />Mid. Tan <br />Ord. Offset <br />Del. <br />for <br />Deg. <br />Radius <br />Mid. <br />Ord. <br />Tan <br />Offset <br />Def. <br />for <br />2.93 <br />40 <br />666.60 <br />1 Foot <br />40 <br />1200.5 <br />124.41 <br />50 <br />1 Foot <br />01 101 <br />34377.5 <br />.036 .145 <br />0.051 <br />70 <br />819.02 <br />1.528 <br />6.105 <br />2.101 <br />20 <br />17188.8 <br />.073 .291 <br />0.10 <br />20. <br />781.84 <br />1.600 <br />6.395 <br />2.20 <br />30 <br />11459.2 <br />.109 .436 <br />0.15 <br />30 <br />764.49 <br />1.637 <br />6.540 <br />2.25 <br />40 <br />8594.42 <br />.145 .582 <br />0.20 <br />40 <br />747.89 <br />1.673 <br />6.685 <br />2.30 <br />50 <br />6875.55 <br />.182 .727 <br />0.25 <br />30 <br />1244.0 <br />133.50 <br />40 <br />233.47 <br />4.76 <br />40 <br />737.37 <br />47.25 <br />8 <br />716.78 <br />1.746 <br />6.976 <br />2.40 <br />1 <br />5729.65 <br />.218 .873 <br />0.30. <br />20 <br />688.16 <br />1.819 <br />7.266 <br />2.50 <br />10 <br />4911.15 <br />.255 1.018 <br />0.35• <br />30 <br />674.69 <br />1.855 <br />7.411 <br />2.55 <br />20 <br />4297.28 <br />.291 1.164 <br />0.40 <br />40 <br />661.74 <br />1.892 <br />7.556 <br />2.60 <br />30 <br />3819.83 <br />.327 1.309 <br />0.45 <br />20 <br />1287.7 <br />142.93 <br />30 <br />275.21 <br />40 <br />3437.87 <br />.364 1.454 <br />0.50 <br />9 <br />637.28 <br />1.965 <br />7.846 <br />2.70 <br />50 <br />3125.36 <br />.400 1.600 <br />0.55 , <br />20 <br />614.56 <br />2.037 <br />8.136 <br />2.80 <br />7.43 <br />50 <br />796.75 <br />55.13 <br />30 <br />603.80 <br />2.074 <br />8.281 <br />2.85 <br />2 <br />2864.93 <br />.436 1.745 <br />0.60 <br />40 <br />593.42 <br />2.110 <br />8.426 <br />2.90 <br />10 <br />2644.58 <br />.473 1.891 <br />0.65 <br />10 <br />1331.6 <br />152.69 <br />20 <br />.316.99 <br />20 <br />2455.70...509 <br />2:036 . <br />0.70 <br />10 <br />573.69 <br />2.183 <br />8.716 <br />3.00 <br />30 <br />2292.01 <br />.545 2.181 <br />0.75 <br />30 <br />546.44 <br />2.292 <br />9.150 <br />3.15 <br />40 <br />2148.79 <br />.582 2.327 <br />0.80 . <br />11 <br />521.67 <br />2.402 <br />. 9.585 <br />3.30 <br />50 <br />2022.41 <br />.618 2.472 <br />0.85 <br />30 <br />499.06. <br />2.511 <br />10.02 <br />3.45 <br />- <br />17 <br />856.30 <br />63.63 <br />12 <br />478.34 <br />2.620 <br />10.45 <br />3.60 <br />3 <br />1910.08 <br />.655 2.618 <br />0.90 <br />30 <br />459.28 <br />2.730 <br />10:89 <br />3.75 <br />10 <br />1809.57 <br />.691 2.763 .. <br />0.95 <br />13 <br />441.68 <br />2.839 <br />11.32 <br />3.90 <br />20 <br />1719.12 <br />.727 2.908 <br />1.00 <br />30 <br />425.40 <br />2:949. <br />11.75 <br />4.05 <br />30 <br />1637.28 <br />. <br />.764 3.054 <br />1.05 <br />14 <br />410.28 <br />3.058 <br />, <br />12.18 <br />4.20 <br />40 <br />1562.88 <br />.800 3.199 <br />1.10 <br />30 <br />396.20 <br />3.168 <br />12.62 <br />4.35 <br />.50 <br />1494.95 <br />.836 3.345 <br />1.15 <br />28 <br />1428.6 <br />175.41 <br />10 <br />409.03 <br />14.58 <br />10 <br />916.03 <br />72.76 <br />15 <br />383.07 <br />3.277 <br />13.05 <br />'4.50 <br />4 <br />1432.69 <br />.873 3.490 <br />1.20 <br />30 <br />.370.78 <br />3.387 <br />13.49 <br />, <br />4.65 <br />10 <br />1375.40 <br />.909 3.635 <br />1.25 <br />16 <br />359.27. <br />3.496 <br />13.92 <br />4.80 <br />20 <br />1322.53 <br />.945 3.718 <br />1.30 <br />30 <br />348.45 <br />3.606 <br />14.35 <br />4.95 <br />30 <br />1273.57 <br />.982 3.926 <br />1.35 <br />17 <br />338.27 <br />3.716 <br />14.78 <br />5.10 <br />40 <br />1228.11 <br />1.018 4.071 <br />1.40 <br />18 <br />319.62 <br />3.935 <br />15.64 <br />5.40- <br />50 <br />1185.78 <br />1.055 4.217 <br />L45 <br />19 <br />302.94 <br />4.155, <br />16.51 <br />5.70 <br />5 <br />1146.28 <br />1.091 4.362 <br />1.50 <br />20 <br />287.94 <br />4.374 <br />17.37 <br />6.00 <br />10 <br />1109.33 <br />1.127 4.507 <br />1.55 <br />21 <br />274.37 <br />4.594. <br />18.22 <br />6.30 - <br />20 <br />1074.68 <br />1.164 4.653 <br />1.60 <br />22 <br />262.04 <br />4.814 <br />19.08 <br />6.60 <br />30 <br />1042.14 <br />1.200 4.798 <br />1.65 <br />23 <br />250.79 <br />5.035 <br />19.94 <br />6.90 <br />40 <br />1011.51 <br />1.237 4.943 <br />1.70 <br />24 <br />240.49 <br />5.255 <br />20.79 <br />7.20 <br />50 <br />982.64 <br />1.273 5.086 <br />1.75 <br />10 <br />1544.2 <br />204.44 <br />20 <br />518.08 <br />23.38 <br />20 <br />1027.5 <br />91.40 <br />25 <br />231.01 <br />5.476 <br />21.64 ' <br />7.50 <br />6 <br />955.37 <br />1.309 5.234 <br />1.80 <br />26 <br />222.27 <br />5.697 <br />22.50 <br />7.80 <br />10 <br />929.57 <br />1.346 5.379 <br />1.85 <br />27 <br />214.18 <br />5.918 <br />23.35 <br />8.10 <br />20 <br />905.13 <br />1.382 5.524 <br />1.90 <br />28 <br />206.68 <br />6.139 <br />24.19 <br />8.40, <br />30 <br />881.95 <br />1.418 5.669 <br />1.95 <br />29 <br />199.70 <br />6.360 <br />25.04 <br />8.70 <br />40 <br />859.92 <br />1.455 5.814 <br />2.00 <br />30 <br />193.18 <br />6.583 <br />25.88 <br />9.00 <br />Nors. Chord Deflection=2 times tangent deflection. <br />I <br />III <br />TABLE IV. -TANGENTS AND EXTERNALS TO A 1° CURVE. <br />Central <br />Angle <br />Tnugent'External <br />Central <br />Angle <br />Tangent <br />Extergal <br />Central <br />Angle <br />Tangent <br />External <br />1° <br />•50.00 <br />.22 <br />110 <br />551.70 <br />26.50 <br />210 <br />1061.9 <br />97.57 <br />101 <br />58.34 <br />.30 <br />101 <br />560.11 <br />27.31 <br />10' <br />1070.6 <br />99.16 <br />20 <br />66.67 <br />.39 <br />20 <br />568.53 <br />28.14 <br />20 <br />1079.2 <br />100.75 <br />30 <br />75.01 <br />:49 <br />30 <br />- 576.95 <br />28.97 <br />30 <br />1087.8 <br />102.35 <br />40 <br />83.34 <br />.61 <br />40 <br />585.36 <br />29.82 <br />40 <br />1096.4 <br />103.97 <br />50 <br />,.91.68 <br />.73 <br />50 <br />593.79 <br />30.68 <br />50 <br />1105.1 <br />105.60 <br />2 <br />100.01 <br />.87 <br />12 <br />602.21 <br />31.56 <br />22 <br />1113.7 <br />107.24 <br />10 <br />108.35 <br />1.02 <br />10 <br />610.64 <br />32.45 <br />10 <br />1122.4 <br />109.90• <br />20 <br />116.68 <br />1.19 <br />20 <br />619.07 <br />33.35 <br />20 <br />1131.0 <br />110.57 <br />30 <br />125.02 <br />1.36 <br />30 <br />627.50 <br />34.26 <br />30 <br />1139.7 <br />112.25 <br />:40 <br />133.36 <br />1.55 <br />40 <br />635.93 <br />35.18 <br />40 <br />1148.4 <br />113.95 <br />50 <br />141.70 <br />1.75. <br />50 <br />644.37 <br />36.12 <br />50 <br />1157.0 <br />115.66 <br />3 <br />450.04 <br />1.96 <br />13 <br />652.81 <br />37.07 <br />23 <br />1165.7 <br />117:38 <br />10 <br />158.38 <br />2.19 <br />10. <br />661.25 <br />38.03 <br />10 <br />1174.4 <br />119.12 <br />20 <br />166.72 ' <br />2.43 <br />20 <br />669.70 <br />39.01 <br />20 <br />1183.1 <br />120.87 <br />30 <br />175.06 <br />2.67 <br />30 <br />678.15 <br />39.99 <br />30 <br />1191.8 <br />122.63 <br />40 <br />'183.40 <br />2.93 <br />40 <br />666.60 <br />40.99 <br />40 <br />1200.5 <br />124.41 <br />50 <br />191.74 <br />'3.21 <br />50 <br />695.06 <br />42.00 <br />50 <br />1209.2 <br />126.20 . <br />4 <br />200.08 <br />3.49 <br />14 <br />703.51 <br />43.03 <br />24 <br />1217.9 <br />128.00 <br />10 <br />208.43 <br />3.19 <br />10 <br />711.97 <br />44.07 <br />10 <br />1226.6 <br />129.82 <br />20 <br />.216.77 <br />4.10 <br />20 <br />720.44 <br />45.12 <br />20 <br />1235.3 <br />131.65 <br />30 <br />225.12 <br />4.42 <br />30 <br />.728.90 <br />46.18 <br />30 <br />1244.0 <br />133.50 <br />40 <br />233.47 <br />4.76 <br />40 <br />737.37 <br />47.25 <br />40 <br />1252.8 <br />135.35 <br />50 <br />241.81 <br />5.10 <br />50 <br />745.85 <br />48.34 <br />50 <br />1261.5 <br />137.23 <br />" <br />250.16 <br />5.46 <br />-15 <br />754.32 <br />49.44 <br />25 <br />1270.2 <br />139.11 <br />10 <br />258.51 <br />5.83 <br />10 <br />762.80 <br />50.55 <br />10 <br />1279.0 <br />141.01 <br />20 <br />266.86 <br />6.21 <br />20 <br />771.29 <br />51.68 <br />20 <br />1287.7 <br />142.93 <br />30 <br />275.21 <br />6.61 <br />30 <br />779.77 <br />52.89 <br />30 <br />1296.5 <br />144.85 <br />40 <br />283.57 <br />7.01 <br />40 <br />788.26 <br />53.97 <br />40 <br />1305.3 <br />146.79 <br />50 <br />291.92 <br />7.43 <br />50 <br />796.75 <br />55.13 <br />50 <br />1314.0 <br />148.75 <br />6 <br />300.28 <br />7.86 <br />16 <br />805.25 <br />56.31 <br />26 <br />1322.8 <br />150.71 <br />10 <br />308.64 <br />8.31 <br />10 <br />813.75 <br />57.50 <br />10 <br />1331.6 <br />152.69 <br />20 <br />.316.99 <br />8.76 <br />20 <br />822.25 <br />58.70 <br />20 <br />1340.4 <br />154.69 <br />30 <br />325.35 <br />9.23 <br />30 <br />830.76 <br />59.91 <br />30 <br />1349.2 <br />156.70 <br />40 <br />333.71 <br />9.71 <br />40 <br />839.27 <br />61.14 <br />40 <br />1358.0 <br />158.72 <br />50 <br />342.08 <br />10.20 <br />50 <br />847.78 <br />62.38 <br />50 <br />1366.8 <br />160.76 <br />7 <br />350.44 <br />10.71 <br />17 <br />856.30 <br />63.63 <br />27 <br />1375.6 <br />162.81 <br />- 10 <br />358.81 <br />11.22 <br />10 <br />864.82 <br />64.90 <br />10 <br />1384.4 <br />164.86 <br />20 <br />367.17 <br />11.75 <br />20 <br />673.35 <br />66.18 <br />20 <br />1393.2 <br />166.95 <br />30 <br />375.54 <br />12.29 <br />30 <br />881.88 <br />67.47 <br />30 <br />1402.0 <br />169.04 <br />40 <br />383.91 <br />12.85 <br />40 <br />890.41 <br />68.77 <br />40 <br />1410.9 <br />171.15 <br />50 <br />392.28 <br />13:41 <br />50 <br />898.95 <br />70.09 <br />50 <br />1419.7 <br />173.27 <br />8 <br />400.66 <br />13.99 <br />is <br />907.49 <br />71.42. <br />28 <br />1428.6 <br />175.41 <br />10 <br />409.03 <br />14.58 <br />10 <br />916.03 <br />72.76 <br />10 <br />1437.4 <br />177.55 <br />20 <br />417.41 <br />15.18 <br />20 <br />924.58 <br />74.12 <br />20 <br />1446.3 <br />179.72 <br />30 <br />425.79 <br />15.80 <br />30 <br />933.13 <br />75.49 <br />30 <br />1455.1 <br />181.89 <br />40 <br />434.17 <br />16.43 <br />40 <br />941.69 <br />76.86 <br />40 <br />1464.0 <br />184.08 <br />50 <br />442.55 <br />17.07 <br />50 <br />950.25 <br />78.26 <br />50 <br />1472.9 <br />186.29 <br />9 <br />450.93 <br />17.72 <br />19 <br />958.81 <br />79.67 <br />29 <br />1481.8 <br />188.51 <br />10 <br />459.32 <br />18.38 <br />10 <br />967.38 <br />81.09 <br />10 <br />1490.7 <br />190.74 <br />20 <br />467.71 <br />19.06 <br />20 <br />975.96 <br />82.53 <br />20 <br />1499.6 <br />192.99 <br />30 <br />476.10 <br />19.75 <br />30 <br />984.53 <br />83.97 <br />30 <br />1508.5 <br />195.25 <br />40 . <br />484.49 <br />20.45 <br />40 <br />993.12 <br />85.43 <br />40 <br />1517.4 <br />197.53 <br />50 <br />492.88 <br />21.16 <br />50 <br />1001.7 <br />86.90 <br />50 <br />1526.3 <br />199.82 <br />10 <br />501.28 <br />21.89 <br />20 <br />1010.3 <br />88.39 <br />30 <br />1535.3 <br />202.12 <br />10 <br />509.68 <br />22.62 <br />10 <br />1018.9 <br />89.89 <br />10 <br />1544.2 <br />204.44 <br />20 <br />518.08 <br />23.38 <br />20 <br />1027.5 <br />91.40 <br />20 <br />1553.1 <br />206.77 <br />30 <br />526.48 <br />24.14 <br />30 <br />1036.1 <br />92.92 <br />30 <br />1562.1 <br />209.12 <br />40 <br />534.89 <br />24.91 <br />40 <br />'1044.7 <br />94.46 <br />40 <br />1571.0 <br />21148 <br />50 <br />543.29 <br />25.70 <br />50 <br />1053.3 <br />96.01 <br />50 <br />1580.0 <br />213.86 <br />