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pg II & III
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i <br />TABLE Y. - Minutes in Decimals of a Degree. - <br />1' <br />0267 <br />11' <br />.1833 <br />21' <br />.3500 <br />31• <br />1,167 <br />Al' <br />.6833 <br />51' <br />.8500 <br />2 <br />:113.33 <br />12 <br />.2000 <br />•D2 <br />..8667. <br />32• <br />.-5333 <br />42 <br />.7000 <br />.52 <br />.8667 <br />3 <br />.0500 <br />13 <br />.21 G7 <br />J'.:3 <br />.3933 <br />3:3 <br />.5500 <br />43- <br />:7167 <br />53 <br />::8833 <br />4 <br />.0661 <br />14 <br />.2333 <br />24 - <br />.4000 <br />:34 <br />'.5667 <br />44' <br />.73:33 <br />� 54 <br />.9000 <br />5 <br />.08:33 <br />15 <br />.2500 <br />35 <br />.41(11 <br />35 ' <br />.593:3 <br />45 <br />.7500 <br />5.9 <br />.9167 <br />6 <br />.1000 <br />16 <br />.2667 <br />26 <br />.4333 <br />:311 <br />.6000 <br />4F. <br />.7(167 <br />56 <br />.9:333 <br />7 <br />.1167 <br />17 <br />.2833 <br />27 <br />.4500 <br />37 <br />'.616i <br />417 <br />7.266 <br />57 <br />.9500 <br />S <br />1:833 <br />1S <br />.3000 <br />'28 <br />.4667 <br />:38 <br />.63'33 <br />_ <br />48 <br />_.783:3 <br />.8000 <br />58 <br />:0661 <br />9 <br />.1500 <br />19 <br />.3167 <br />29 <br />.4833' <br />:39 <br />.6500 <br />49 <br />.8167 <br />59 <br />.983:3 <br />10 <br />.1667 <br />20 <br />.8:333 <br />:30 <br />.5000 <br />411 <br />.66117. <br />50 <br />.5:333 <br />60 <br />1.0000 <br />'I'AB1.E II. '- Inches .in Decimals of a Foot. <br />1-16 3-3'_' 'Je 3-16 '/. <br />5-16 <br />'js '/% °1e <br />°j.. �/e <br />.00:,2 .0018 .0104 .0156 .0'3(18 <br />.0360 <br />.0:113 .0417 '.05'_'1 <br />1 .11625 I Oi29 <br />slid. <br />Tan. <br />Def. <br />Chd' <br />lief. <br />D.f. <br />fur <br />I F o u t <br />1� <br />08:3:3 1067 I .` 50 I .39:1:3 I .4507 <br />I .5000 <br />I .5833 '1 -607 I .7315) <br />1 .89'3 <br />TABLE .111. - Radii, Ordinates 11641 DCHQeti011S. <br />Deg. <br />Radius <br />\iid. <br />Ord. <br />Tan. <br />Def. <br />06(1• <br />Def.Ord. <br />1)ef. <br />for <br />t 4451; <br />I, Deg, <br />11,x1i¢s <br />slid. <br />Tan. <br />Def. <br />Chd' <br />lief. <br />D.f. <br />fur <br />I F o u t <br />U 10' <br />26.50 <br />'.080 <br />.145 <br />292 <br />0.05' <br />� <br />819.0 <br />10' <br />6.1051 <br />12.21 <br />2.10' <br />20 <br />I34377. <br />17189. <br />.07:3 <br />.3'91 <br />I <br />.582 <br />V. IQ <br />20' <br />781.8 <br />11.5`!8 <br />1.600 <br />6.395 <br />12.79 <br />2.20 <br />30 <br />11459. <br />109 <br />.436 <br />S-'3 <br />0.15 <br />30 <br />764.5' <br />1.637 <br />6.540 <br />13:08 <br />2.25 <br />40 <br />8594.4 <br />.145 <br />.582 <br />1.164 <br />0,20 <br />40 <br />747.9 <br />1.673 <br />6.685 <br />13.27 <br />2.:30 <br />50 <br />0875.5 <br />.182 <br />727 <br />1.454 <br />0.25 <br />8 <br />716.8 <br />1.746 <br />6.976 <br />13.'05 <br />'2.40 <br />1 <br />5739.6 <br />.218 <br />.87:3 <br />1.745 <br />0.30 <br />211 <br />668:2 <br />1.819 <br />7.266 <br />14.57 <br />2.50 <br />10 <br />4911.2 <br />.255 <br />1.018 <br />2_.036 <br />0.35 <br />80 <br />671.7 <br />1.655 <br />7.411 <br />11.58 <br />2.55 <br />20 <br />4297.:3 <br />.291 <br />1.164 <br />2.827 <br />.0.40 <br />40 <br />•661.7 <br />1:692 <br />7.556 <br />15.11 <br />2.60 <br />130 <br />:3819.8 <br />.327 <br />1.90:1 <br />2.618 <br />0.45 <br />1) <br />617.3 <br />.1.965 <br />7.646 <br />15.69 <br />2.7U <br />40 <br />3437.9 <br />.364 <br />1.454 <br />2.909 <br />0.50 <br />20 <br />.614.6 <br />2.061 <br />.136 <br />16.27 <br />2.80 <br />50 <br />3125.4 <br />.400 <br />1.600 <br />3.200 <br />0.56 <br />30 <br />603.8 <br />2.074 <br />8.281 <br />16.56 <br />2.85 <br />2 <br />2864.9• <br />.4"16 <br />1.745 <br />8.490 <br />0.60 <br />40 <br />511:3.4 <br />2.110 <br />8.426 <br />16.85 <br />2.90 <br />10 <br />2644.6 <br />.473 <br />1.$111 <br />3.781 <br />0.65 <br />10 <br />579.7 <br />2.163 <br />8.716 <br />17.4'3 <br />3.00 <br />20 <br />2455.7 <br />.509 <br />2.036 <br />4.U72 <br />0:70 <br />30 <br />:5.16.4 <br />2.292 <br />U. 150 <br />1.9.30 <br />:3.115 <br />30 <br />2292.0 <br />..5,45 <br />2.181 <br />4.363 <br />0.75 <br />11 <br />541.7 <br />2.402 <br />9.585 <br />19.10 <br />3.30 <br />40 <br />214.4.8 <br />.582 <br />2.327 <br />4:654 <br />0.80 <br />30 <br />499.1 <br />2.511 <br />10.02 <br />20.04 <br />3.45 <br />50 <br />2022.4 <br />.018 <br />° 472 <br />4.945 <br />9.8.5 <br />1.2 <br />47 8. 3 <br />2.620 <br />10.45 <br />20.91 <br />3.60 <br />3 <br />1910.1 <br />.655 <br />2.618 <br />5.2'5 <br />0.90 <br />80 <br />459.:3 <br />2.730 <br />10.89 <br />21.77 <br />:1.75 <br />10 <br />1809.6 <br />.691 <br />.7G3 <br />5.526 <br />(P. 05 <br />13 <br />4-417 <br />2.839 <br />11.32 <br />22.64 <br />3.90 <br />20 <br />1719.1 <br />727 <br />2.90.5 <br />5.817 <br />1.00 <br />30 <br />'42'5.4 <br />2.949 <br />11.75 <br />23.51 <br />4.05 <br />30 <br />1637.:3 <br />.564 <br />3.0:,4 <br />6.103 <br />1.D;, <br />1.1 <br />410.:1 <br />3.059 <br />12.18 <br />24.37 <br />4.20 <br />40 <br />156'2.9 <br />.800 <br />'3.199 <br />6.:398 <br />L 10 <br />30 <br />306.2 <br />3.168 <br />12.62 <br />25.24 <br />4.:35 <br />50 <br />1495.0 <br />.836 <br />3.845 <br />6.659 <br />1.15 <br />1..5 <br />:34`3.1 <br />3.277 <br />1:3.05 <br />26.11 <br />4.1,0 <br />4 <br />143'2.7 <br />.87:3 <br />3.490 <br />1,.980 <br />1. 20 <br />30 <br />:170.8 <br />:1.387 <br />13.49 <br />26.97 <br />4.65 ' <br />10 <br />1375.4 <br />.909 <br />3.635 <br />7 271 <br />1.'_15 <br />16 <br />359.3 <br />[3.4`•16 <br />13.:12 <br />27.84 <br />4.80 <br />20 <br />1332.5 <br />.945 <br />4.719 <br />7.54i1 <br />1.:30 <br />30 <br />348.5 <br />:1.606 <br />14.:35 <br />'28.70 <br />4.9:1 <br />30 <br />1273.6 <br />.982 <br />3.9'26 <br />7.852 <br />1.ar, <br />17 <br />3:64.3 <br />:3.716 <br />14.78 <br />29.56 <br />5.10 <br />40 <br />1228.1 <br />1.018 <br />4.071 <br />1.14." <br />1.40 <br />1S <br />312.6 <br />:1.1 5 <br />15.64 <br />81.29 <br />5.40 <br />50 <br />1.185.5 <br />1.055 <br />4.217 <br />8.433 <br />1.45 <br />19 <br />302.1 <br />4.155 <br />16.51 <br />33.01 <br />5.70 <br />b <br />1146.7 <br />1.091 <br />4.86`2 <br />l <br />8.,_4 <br />1.50 <br />20 <br />a• <br />_b, •0 <br />4.374 <br />1,.87 <br />34.73 <br />- <br />6.GU <br />10 <br />1109.5 <br />1.127 <br />4.507 <br />9.014 <br />1.55 <br />21 <br />274.4 <br />4.594 <br />18. 221 <br />:36.44 <br />6.30 <br />20 <br />1074.7 <br />1.164 <br />4.653 <br />9.305 <br />1.60 <br />'22 <br />262.0 <br />4.814 <br />19.06 <br />38.16 <br />6.60 <br />30 <br />1042.1 <br />1.200 <br />4.798 <br />9.596 <br />1.6•; <br />23 <br />250.8 <br />5.035 <br />19.94 <br />3J.87 <br />6.90 <br />40 <br />1011.5 <br />1.231 <br />4.943 <br />9.896 <br />1.70 <br />24 <br />240.5 <br />5.21,:1 <br />20.79 <br />41.58 <br />'7.20 <br />50 <br />98`_'.6 <br />1.27:3 <br />5.088 <br />10.1S <br />1.75 <br />-15 <br />241.0 <br />5.476 <br />21.64 <br />4:3.28 <br />i.50 <br />6 <br />955.4 <br />1..30.1 <br />5.234 <br />10.44 <br />1.80 <br />26 <br />222.3 <br />5.691 <br />. o - <br />?..50 <br />44.99 <br />7.80 <br />10 <br />929.6 <br />1.:346 <br />5.379 <br />10.76 <br />1.85 <br />27 <br />214.2 <br />5.918 <br />23.:35 <br />46.69 <br />8.10 <br />20 <br />90.1 <br />1.382 <br />5.524 <br />11.05 <br />1.90 <br />2S <br />21-11.7 <br />11.131 <br />24.19 <br />48.38 <br />8:40 <br />30 <br />813'1 9 1 <br />1.419 <br />5.(109 111.34 <br />83.97 <br />1.95 <br />29 <br />199.7 <br />6.360 <br />'25.04 <br />50.07 <br />S.70 <br />'40 <br />S;!1.P <br />1.4:;5 <br />5.811 <br />11.63 <br />2.00 <br />30 <br />193.2 <br />6.588 <br />25.88 <br />51.76 <br />9.00 <br />r. <br />-Tku.0 TV..'- Tangents and Externals to a V Curve. <br />Angle' I <br />Tangent t External <br />Anglu I <br />'tangent I <br />External (I <br />Aciglu I <br />Tangent <br />Exton,al <br />1° <br />50.00 <br />22 <br />Il° <br />551.70 <br />26.50 <br />21° <br />1061:9 <br />97.57 <br />10' <br />58.34 <br />.30 <br />10' <br />560 11°7.81 <br />LO'' <br />1070.6 <br />U9, LG <br />50 <br />.66.67 <br />.39. <br />20 <br />f,6-8. 53 <br />23.14 <br />3111 <br />1079.2 <br />•100.75 <br />30 <br />.75.01 <br />.49 <br />30 <br />57G.9533.9; <br />3U <br />1097.8 <br />10.':.35 <br />40 <br />8:3.34 <br />.61 <br />40 <br />585.911, <br />29.51: <br />40 <br />109G.4 <br />10:3.97 <br />50 <br />.,it. 66 <br />- .73 <br />.50 <br />693.79 <br />30.68 <br />:>t1 <br />1105.1 <br />105.60 <br />100.01 <br />.57. <br />12 <br />602.21 <br />31.56 <br />22 <br />111:3.7 <br />101.24 . <br />10 <br />108.35 <br />1.02 <br />-10 <br />610.64 <br />32.95 <br />'10 <br />1122.4 <br />•108.90 <br />- 20 <br />1.10.116 <br />1.10 <br />20 <br />619.07 <br />43.35 <br />10 <br />1131.0 <br />110.57 <br />40 <br />12.5.02 <br />1.36 <br />30 <br />627.50 <br />84.26 <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 />I.;"u <br />50 ' <br />644.37 <br />36.12 <br />50 ' <br />1157.0 <br />115.66 - <br />3 <br />.150.04 <br />1.96 <br />13 <br />652.81 <br />37.07 <br />23 <br />1165.7 <br />117.35 <br />- ]U " <br />1.5S.38 <br />2.19" <br />10 <br />61,1:25 <br />88.03 <br />10 <br />1174.4 <br />119.12 <br />2U <br />166.72 - <br />.2.43 <br />20 <br />609. TO <br />39.01 <br />20 <br />11&1.1 <br />120.87 <br />' 30 <br />175.06 <br />.2.67 <br />30 <br />674.15 <br />39.99 <br />30 <br />1191,8 <br />122.63 <br />40 <br />183.40 <br />2.93 <br />40 <br />68G.G0 <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 />200.09 <br />3.49 <br />'14 <br />703.51 <br />43.03 <br />24 <br />1217.9 <br />129.00 <br />10 <br />E1,08.43 . <br />3.79 <br />10 <br />711.97 <br />4.1.07 <br />10 <br />1226.6 <br />129.82 <br />U <br />216.77 <br />4.10 <br />20 <br />_ <br />120.44 <br />V). 12 <br />20 <br />1235.3' <br />131..65 <br />36 <br />225.12 <br />4:42 <br />30 <br />728.90 <br />46.18 <br />30 - <br />1244.0 <br />138.50 <br />40 <br />233.47 <br />4.70 <br />40 <br />7::7.37 <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 />2oD.1G <br />5.46 <br />l� <br />54.3_ <br />49.44 <br />o -a <br />.10 0•n <br />139.11 <br />10 . <br />2118.61. <br />5.4:3 <br />10 <br />762.80 <br />� 50.55 <br />10 <br />1279.0 <br />141.01. <br />"U <br />966.86 <br />6.21 <br />20 <br />77 1 20 <br />51.63 <br />20 <br />]287.7 <br />142. US <br />1175.21 <br />6.61 <br />3U <br />779.77 <br />52.89 <br />30 <br />1296.5 <br />144.85 <br />40 <br />21' = <br />7.91. <br />40 <br />788.2, <br />53.97 <br />40 <br />1:305.3 <br />146.79 <br />`50. <br />zvi.92 <br />7.43 <br />50 <br />596.75 <br />55.13 <br />50 <br />1314.0 <br />148.7;5 <br />6 <br />800.28 <br />7.56 <br />16 <br />805.25 <br />56.61 <br />26' <br />1322.8 <br />150.71 <br />10 <br />308.64• <br />8.31 <br />10 <br />81'3.75 <br />57.50 <br />10 <br />1331.6 <br />152.6'9 <br />20 <br />116.99 <br />8.76 <br />2U <br />822.25 <br />58.70 <br />20 <br />1840.4 <br />1.54.69 <br />P.0 <br />:325.35 <br />9.23 <br />30 <br />8:10.76 <br />59.91 <br />:3U <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 />13158.0 <br />158•:2 <br />50 <br />342.08 <br />10.20 <br />60 <br />847.78 <br />62.38 <br />50 <br />1366.8 <br />160.76 <br />7 <br />150.44 <br />10.71 <br />17 <br />856.30 <br />03.0 <br />27 <br />1375.6 <br />162.81 <br />10 <br />353.81 <br />11.29. <br />30 <br />864.82 <br />69.90 <br />10 <br />1884.4 <br />164.86 <br />20 <br />367.17 <br />1.1.75 <br />20 <br />873.35 <br />66.18 <br />20 <br />1393.2 <br />111,1.95 <br />30 <br />375:54 <br />12.39 <br />30 <br />881.85 <br />67.47 <br />30 <br />1-02.0 <br />169.01 <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 />-10.09 <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 />-3.7G <br />10 <br />1437,4 <br />177.55 <br />20 <br />417.41 <br />15.15 <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 />933.11 <br />75.49 <br />30 <br />1455.1 <br />181.89 <br />. 90 <br />434.17 <br />16.43 <br />40 <br />941.69 <br />76.86 <br />40 <br />1404.0 <br />184.08 <br />50 <br />442.55 <br />17.07 <br />50 <br />950-15 <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 />1.481.8 <br />188.51 <br />1;0 <br />459.32 <br />18.38 <br />10 <br />9G7.38 <br />81.09 <br />10 <br />1490.7 <br />190.74 <br />:0 <br />467.71 <br />19.011 <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 />80 <br />984.53 <br />83.97 <br />30 <br />1506.5 <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 />5u� <br />492.88 <br />21.1E <br />50 <br />1001.7 <br />86.90 <br />50 <br />1526.3 <br />199.89 <br />10 <br />501.28 <br />21.89 <br />20 <br />1010.3 <br />89.39 <br />30 <br />1535.3 <br />202.12 <br />1� <br />609.68 <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 />91.90 <br />20 <br />1553.1 <br />206.77 <br />30 <br />5'26.48 <br />24.14 <br />30 <br />1036.1 <br />0'2.92 <br />30 <br />1562.1 <br />209.12 <br />40 <br />5$4.89 <br />24.91 <br />40 <br />1044.1 <br />94.90 <br />40 <br />1511.0 <br />211.98 <br />50 <br />. <br />543.29 <br />25.70 <br />50 <br />1053.3 <br />98.01 <br />50 <br />1580.0 <br />213.86 <br />
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