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I <br />�n <br />' TARLF V. MTNUTES IN' DECIbIALS OF: A DEGREE; ' <br />Central <br />1' <br />2 <br />.0167 <br />11' <br />.1833 <br />211 <br />,3506 <br />91' <br />':5167 <br />41'. <br />.6833, <br />51' <br />.8500 <br />.0333 <br />12, <br />.2000 <br />22 <br />.3667 <br />92' <br />.5333 <br />42 <br />7000 <br />52 <br />1061.9 <br />97.57 <br />3 <br />4 <br />.0500 <br />13 <br />2167 <br />29 <br />.3933 <br />.33 <br />.5500 <br />43 <br />.7167 <br />53 - <br />.8667 <br />.8833 <br />20 <br />568.53 <br />.0667 <br />14 <br />-.2333 <br />.24 <br />-40M <br />34 <br />.5667 <br />44 <br />.7333 <br />54 <br />30 <br />.1087.8 <br />5 <br />.0833 <br />15 <br />.2500 <br />25: <br />..4167 <br />35. , <br />.5833. <br />'46 <br />.7500' <br />55 <br />.9000 <br />9167 <br />.73 <br />6 <br />.1000 <br />16 <br />2667 <br />26 <br />'.4333 <br />36 <br />.6090 <br />48 <br />7667 <br />58 <br />31.56 <br />22 <br />7 <br />.1167 <br />17' <br />.2833[2!9 <br />27 <br />.4500 <br />37 <br />,6167 <br />47 <br />1122.4 <br />' 5 <br />.9333 <br />9540 <br />116:68 <br />8 <br />.1333 <br />18 <br />.30008., <br />20 <br />:4667. <br />.38 <br />.6333 <br />46, <br />.7833 <br />5 <br />9667 <br />34.26 <br />30 <br />500 <br />20 <br />40 <br />133.36 <br />1.65 <br />40 <br />635.93 <br />35.18 <br />.8000: <br />1148.4 <br />113.95 <br />50 <br />10 <br />.1667 <br />50 <br />.3333 <br />36.12 <br />.500030 <br />40 <br />.6667 <br />S0 <br />.8333 <br />6 <br />1.4CW <br />652.81' <br />TABLE II. -INCHES IN DECIMALS OF A FOOT, <br />23 <br />exae <br />J. <br />34 s� �4 <br />10 <br />0052 .0078 0104 01,16 • .0208 .0260 <br />0313 0417 .0521 .0625 0729 <br />10 <br />1 2 3. 4 5 6 7 8 9 !0 11 <br />38.03 <br />0833 .1667 ,2500 .3333 • .4167 .5000 .5833 ' ,6667 .7500 .8333 91671'x' <br />1174.4 <br />TABLE III.-iRADII, 'ORDINATES AND DEFLECTIONS. <br />Deg. <br />Radius Mid. <br />Ord. <br />Tan- <br />Offset <br />Def. <br />for <br />" <br />Deg. <br />Radius <br />Mid . <br />Tan <br />Por <br />175.06 <br />2.67 <br />30 <br />. <br />678.15 <br />1 Foot <br />30 <br />1191.8 <br />Ord. ' <br />,Offset <br />1 Foot <br />2.93 <br />40 <br />686.60 <br />40.99 <br />40 <br />1200.5 <br />124.41 <br />50 <br />191.74. <br />3.21 <br />00 10' <br />34377.5 .036 <br />145 <br />.. 6,45' <br />1 7°:: <br />819.02 <br />1.528 <br />6.105 <br />2.10, <br />20 <br />17183.8 .073 <br />.291 <br />0.10 <br />20 <br />781.84 <br />1.600 <br />6.395 <br />2.20 <br />30 <br />.' 11459.2 .109 <br />..436 <br />0:15 <br />' ,30 <br />764.49 <br />•1,537 <br />6.540 <br />: 2.25 <br />40 <br />8594.42 ..145 <br />.582 <br />•0,20 <br />_ 40 <br />747.89 <br />1.673 <br />6.685 <br />2.30 <br />50 <br />6875,55 `, .182 ,' <br />.727 <br />0.25 <br />1244.0 <br />133.50 <br />40 <br />233.47 <br />4.76 <br />1 <br />5729.65 .218 <br />,873 <br />0.30 <br />8 <br />20• <br />716.78 <br />69.16 <br />1.746 <br />1.819 <br />6.976 <br />7,266 <br />2.40 <br />2.50 ' <br />10,. <br />4911.15 .255 .1.018 <br />48.34 <br />0,35 <br />30 <br />'674.69 <br />1.855 <br />7.411 <br />2.55 ^' <br />20 <br />4297.28 .291 •1.164 <br />49.44 <br />0.40 <br />44 <br />66T.74 <br />1.892 <br />7.556 <br />2.60 ` <br />30 <br />3819.83 .327 <br />1,309. <br />0.45, <br />1279.0 <br />141.01 <br />. <br />266,86 <br />6.21 <br />40 <br />. 3437.87 .364 <br />1.454 <br />0.50 <br />9 <br />637.28 <br />1.965 <br />7:846 <br />2.76 <br />50 <br />3125.36 .400 <br />1,600: <br />0.55 <br />20 <br />.. 614.56 <br />2.037 <br />8.136. <br />2:80 <br />2 <br />2864.93 .436 <br />1.745 <br />0.60 <br />30' <br />40 <br />603.80 <br />593.42 <br />2.074 <br />2.110 <br />8.281 <br />8.426 <br />2.85 <br />2.90 <br />10 <br />2644.58. .473 '1.891 <br />55.13 <br />0.65 <br />1314.0 <br />'148.75 <br />6 <br />300.28 <br />+i <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 ^'.545 • <br />2.181• <br />0:75 <br />30 <br />•546.44 <br />2.292 <br />-9.150 <br />3.15 <br />40• <br />.2148.79, .582 <br />2.327 <br />0.80 <br />11 <br />521,57 , <br />2.402 <br />9.585 <br />'•3,30 <br />.50 <br />2022.41 .618 <br />2.472 <br />0.85: <br />30 <br />499.06 <br />2.511, <br />10.02 <br />3,4.5 ' <br />3 <br />839.27 <br />61.14 <br />40 <br />12 <br />478.34 <br />2.620 <br />10.45 <br />3,60 <br />50 <br />1910.08 .655' <br />2.618 <br />0.90 <br />30 <br />459.28 <br />2.730_ <br />10,89 <br />3',75 ". <br />10 <br />1809.57. ..691 <br />2.763 <br />0.95 <br />13441,68 <br />162.51 <br />2.839 <br />11.32 <br />3,90 <br />20 <br />1719.12 727 <br />2.908 <br />1.00 <br />30 <br />425.40 <br />2.949 <br />11.75 <br />4.05 <br />30 <br />1637.28 .764 <br />3.054 <br />1.05 <br />14 <br />410.28 <br />3.058 <br />12.18 <br />4.20 . <br />40 . <br />1562.88 .800 <br />3.199 <br />1.10 <br />30, <br />•396.20 <br />3.168, <br />12,52 <br />4.35 <br />50 <br />1494.95 .836' <br />3.345 <br />1,15 <br />1410.9 <br />171.15 <br />50 <br />392.28 <br />13.41 <br />4 <br />898.95 <br />70.09 <br />50 <br />15 ' <br />383.07 <br />3.277. '13.05 <br />400.66 <br />4,50 ; <br />18 <br />1432.69 873, <br />3.490 <br />1,20 <br />30 <br />370.78 <br />3.387 <br />13.49 <br />4:65 <br />10 <br />1375.40 .909 <br />3.635 <br />.1,25 <br />16 ' <br />- 359.27 <br />3.496 <br />13.92 <br />. 4.80 <br />20 <br />1322.53 ..945 <br />3.718. <br />-1,30 <br />30 <br />348.45 <br />3.606 <br />14.35 <br />4.95 <br />30 <br />1273.57 .982' <br />3.926 <br />1.35 <br />17 <br />338,27 <br />3.716 <br />14.78 <br />'5.10 ' <br />40 <br />1228,11 1,018 <br />4.071. <br />1;40 <br />19. <br />319.62 <br />3.935 <br />15.64 <br />5.40, '. <br />50 <br />1185.78 1.055 <br />4.217 <br />1.45 <br />19 <br />302.94 <br />4.155 <br />16.51 <br />6.70 <br />b - <br />1146.28 1.091 <br />4.362, <br />1,50 <br />20 <br />287.94 <br />4.374 <br />17.37 <br />6.00 ' <br />10 <br />1109.33 1.127 <br />4.507 <br />1.55 <br />21 <br />274.37 <br />.4.594 <br />18,22 <br />6.30 <br />20, <br />1074.68' 1.164 - <br />4:653 <br />1,60 <br />22 <br />262.04 <br />4.814 <br />19.08 <br />6.60 <br />30 <br />1042,14 1.200 <br />4.798 <br />1,65 <br />29 <br />250.79 <br />5. MS <br />19.94 <br />6.90 1 <br />.40 <br />1011.51' 1.237 <br />4.943 <br />1.70. <br />24 <br />240.49 <br />5.255 <br />20.79 <br />7.20 <br />50 <br />982.64 1.273 <br />5.088 <br />1.75 <br />1526.3 <br />- <br />10 <br />, <br />21'.89 <br />6: <br />MO.3 <br />88.39 <br />90 <br />25. <br />231.01 <br />'222,27 <br />5.476 <br />21.64 <br />7.50';; <br />10 <br />955.37 1.309 <br />5.234 <br />1.80 <br />26 <br />204.44 <br />5.697, <br />22.50 <br />. 7.80 <br />40, <br />929.57 1.346, <br />5.379 <br />1.85. <br />27 <br />214.18. <br />5.918 <br />23.35 <br />8.10 -. <br />20 <br />905.13 1.382 <br />5.524 <br />1.90 <br />28 <br />206.68, <br />6.139 <br />24.19 <br />24.91 <br />30 <br />881.95 1.418 <br />5:669' <br />1.95 <br />29 <br />199.70` <br />6.360 <br />25,04 <br />8,70 <br />40 <br />859.92 1.455 <br />5.814 <br />2.00 , <br />30. <br />193.18 <br />6.583 <br />25.88 <br />9.90 <br />NoTx. Chord Deflection=2 times tangent deflection. <br />TABLE IV.-TANGFNTS AND ExTE11NALS TO A P CURVE. <br />Central <br />Tangent <br />External <br />Central <br />Tangent <br />External <br />Central <br />Tangent <br />External <br />Angle <br />Angle <br />Angle <br />10 <br />50.00 <br />.22 <br />110 <br />551 70 <br />26-.50 <br />210 <br />1061.9 <br />97.57 <br />10' <br />_ 58.34 <br />.30 <br />10' <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 />193.97 <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 />108.90 <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 />1.65 <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 />3150.04 <br />1.96 <br />19 <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 />. <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 />686.60 <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 />129.00 <br />10 <br />-208.0 <br />3.79 <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 />5 <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 />. <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 />130 <br />779.77 <br />52.84 <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 />150.76 <br />7 <br />350.44 <br />10.71 <br />17 <br />956.30 <br />63.63 <br />27 <br />1375.6 <br />162.51 <br />10 <br />358.81 <br />11.22 <br />10 <br />864.82 <br />64.9D <br />10 <br />1384.4 <br />164.86 <br />20 <br />367.17 <br />11.75 <br />20 <br />873.35 <br />66.16 <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 />• <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 />$ <br />400.66 <br />13.99 <br />18 <br />907.49 <br />71.42 <br />28 <br />142$.6 <br />175.41 <br />10 <br />409.03 <br />14.58 <br />10' <br />916.033 <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 />MO.3 <br />88.39 <br />90 <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 />211.48 <br />50 <br />543.29 <br />25.70 <br />50 <br />1053.3 <br />MAI <br />50 <br />1580.0 <br />213.86 <br />