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II <br />TABL$ I.'Tangents'and�Externalt3'to Al"C,urve.' <br />Chard =100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Lingle <br />Tangent •F.xtert�aP <br />35' 40° <br />Int. <br />Anglo' <br />Tangent <br />External <br />60" <br />65° <br />.22 <br />81" 7 <br />` 400:-66 <br />13:99-, <br />15° °' ' <br />754'.32 <br />49:44 <br />.15 <br />58.34 <br />30 <br />10' <br />409:03 <br />14.58 <br />10' <br />7()2:80 <br />-50.55 <br />2U <br />60.07 <br />.89 <br />20 <br />417.41 <br />15:18 <br />..20 <br />771:29 <br />51.68 <br />30 <br />75.01 <br />40. <br />30 <br />'^425.79 <br />15.80 <br />30 <br />779.77, <br />52.52 <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 />796:75 <br />-55.15 <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 />18.33 <br />-10•. <br />813.75' <br />57-50 <br />20 <br />116:68 <br />1.19 <br />20 <br />.407.71- <br />-19.06 <br />20 <br />822.25 <br />58.70 <br />30 <br />125.02 <br />1.3G <br />30 <br />476:10 <br />19,75 <br />30. <br />,830.76. <br />59:91 <br />40 <br />133.3G <br />1.55, <br />-40' <br />484149 <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 />62:38 <br />3'•" <br />150.04 <br />1.96 <br />10 <br />501.28. <br />21.89 <br />17 - <br />856.30 <br />G3.63 <br />1.0 <br />•155.38 <br />2.19. <br />10 <br />'509.68 <br />22.62 <br />10 <br />864-82 <br />G4.90 <br />-20 <br />-100.72 <br />2.43 <br />20 <br />518.08 <br />23.38 <br />20 <br />873.35 <br />GG.1S <br />30 <br />175.OG <br />2.67 <br />'30 <br />526.48 <br />24.14 <br />30 <br />881.88 <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 />898.95 <br />70.09 <br />4'ZOOi08 <br />1270.2 <br />3.49 <br />11- <br />551.70 <br />26.50 <br />IS <br />907.49, <br />71.42 <br />•10' <br />.208.43 <br />3.79' <br />10 <br />500.11 <br />27.31 <br />10 <br />916.0$ <br />_ 72.76 <br />20 <br />216.77 <br />4«10 <br />20 <br />508.53 <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 />- 28.97 <br />30 - <br />933.13 <br />75.49 <br />40 <br />233.47 <br />4.76 <br />40 <br />585:36 <br />29.82 <br />40 <br />941.69 <br />76.86 <br />-50 <br />241.81 <br />5.10 <br />50 <br />593.79 <br />30.68 <br />SO <br />950.25 <br />78.26 <br />S. <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 />_ <br />5.83' <br />10 <br />610.64 <br />32.45 <br />10 <br />967.38 <br />.81.09 <br />20 <br />" 266.SG <br />_ <br />9 6.21 <br />2D <br />619.07 <br />33.35 <br />20 <br />975.96 <br />"82.53 <br />30 <br />275:21 <br />6.61 <br />30 <br />627.50 <br />34.26 <br />30 <br />984.53 <br />83.97 <br />'". 40 <br />283.57 <br />7.01 <br />- 40 <br />635.93 <br />35.18 <br />'40 <br />..993.12 <br />85.43 ' <br />.'x'50 <br />:291-.92 <br />` 7.43 <br />50 <br />644.37 <br />36.12 <br />50 <br />1001.7 <br />86:90 <br />B" <br />30q.28 <br />7.86 <br />13 <br />652.81 <br />37,07 <br />20 <br />1010.3 <br />88.39. <br />.10 <br />138.1.4 <br />8.31 <br />10 <br />661.25 <br />38.03 <br />10-' <br />1018.9 <br />89.89 <br />20 <br />,308.64 <br />. 316.99 <br />8.76 <br />20 <br />669.70 <br />39.01 <br />20 <br />1027.5 <br />J1.40 <br />R30 <br />" 325.35 <br />9.23 <br />30 <br />G78.15 <br />39.99 <br />30 <br />1036.1 <br />92.92 <br />'40 <br />333:71 <br />9.71 <br />4D <br />GSG.60 <br />40.99 <br />40 <br />1044:7 <br />94.46 <br />50 <br />342.08 <br />10.20 <br />50 <br />G95.OG <br />42.00 <br />50 <br />1053.3 <br />90.01 <br />7- <br />330:44 <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 />1070.6 <br />99.16 <br />" 20 <br />1446:3. <br />11.7.5 <br />20 <br />720.44 <br />45.12 <br />20 <br />1079.2 <br />100.75 <br />30 <br />.367.17 <br />375.54 <br />12.29 <br />30 <br />728.90 <br />4B.I8 <br />30. <br />1087.8 <br />102.35 <br />40 <br />333.91 <br />12.85 <br />40 <br />:737.37 <br />47.25 <br />40-,1090.4 <br />2237.7 <br />103.97, <br />50 <br />392.28 <br />13.41 <br />50 <br />745,85 <br />.48.34 <br />1 50 <br />1105.1 <br />105.60 <br />Corrections to be Added (T= Tangen t. E=External.) <br />tat. <br />Angle; <br />Cvive 5°- <br />109 <br />15° 2G° 25° <br />30° <br />35' 40° <br />45° <br />50° <br />55° <br />60" <br />65° <br />70° <br />_ <br />5° <br />'T=.02 <br />.03 <br />05 .06 .08 <br />.10 <br />".11 .13 <br />.15 <br />.16 <br />.18 <br />.20 <br />" .21 <br />.23 <br />10' <br />:E-.900 <br />,MO <br />.001 .001 ..002 <br />.002 <br />.002 AD3 <br />.003 <br />.004 <br />.004 <br />.004 <br />..005 <br />.005_ <br />10° <br />T---.03 ` <br />.06 <br />.09 " 13. .16 <br />.19 <br />,.22 .25 <br />.28 <br />.31 <br />34 <br />.38 <br />.42 <br />'.013 <br />.46 <br />- .40 <br />E =.001 <br />.003 <br />.004 .006 .007 <br />.008 <br />.009 .DlI <br />.012 <br />.014 <br />.015 <br />.017 <br />1526.3 <br />.02 0_ <br />15° <br />T=.04 ' <br />.10 <br />.14 .19 .24 <br />"".29 <br />.34 .39 <br />.45 <br />.51 <br />.53 <br />.58 <br />.63 <br />_ <br />68 <br />10 <br />E=.003 <br />.007 <br />.010 .014 .018 <br />.023 <br />.027 .029 <br />.032 <br />.035 <br />.039 <br />.043 <br />.047 <br />.051_ <br />20° <br />T=-06. <br />13 <br />.19 .26 .32 <br />.39, <br />.45 51 <br />.5$ <br />.65 <br />72 <br />.79 <br />.84 <br />.90 <br />30 <br />E =.006 <br />.011_ <br />.017 .022 .028 <br />.034 <br />.038 .015 <br />.051 <br />.057 <br />063 <br />'.070 <br />.070 <br />•083 <br />25° <br />T.08 <br />:16 <br />24 .33 40 <br />.49 <br />56 .67 <br />106 <br />1.14 <br />.75 <br />.83: <br />,90 <br />.99 <br />31 <br />Em.00D <br />..018 <br />.027 .036 .048 <br />.058 <br />.065 .074 <br />.083 <br />.093 <br />.106 <br />'.120 <br />.127 <br />.135 <br />Telt]:r Tan gentaand- Ext ernals"to a, V Curve. IIT <br />Chord '=100 f t. • <br />- Int. . <br />Angle <br />Tangent <br />l l-xternal <br />, Augje, <br />Tangent <br />1 terual <br />_Ansje <br />Tangeat <br />Estemal <br />t22'" <br />1113.7 <br />107:2.1 • <br />29' <br />14SI.8 <br />188.51. <br />36°,' <br />-Ml,.7 <br />294.9 <br />'1 U' <br />4122 4 <br />'108.90 <br />10' <br />1490.7 <br />190.74 <br />10' <br />1870.9 <br />.297.7 <br />20 <br />,1:131:0.. <br />It 0, 57 <br />-20 <br />1499.6 <br />192.99 <br />20 <br />7SSO.1, <br />300.6 <br />=3U <br /><1130.'7 <br />112.23 <br />30 <br />1563.5 <br />195.25 <br />30 <br />.1889.4 <br />303.5 <br />=4U <br />1148:4 <br />-113.96 - <br />- .40 <br />1517:4 <br />197.53 <br />40 <br />1598.0" <br />306.4 <br />-50 <br />'1157:U <br />115.66 <br />„ 50 <br />1526.3 <br />'199.82 <br />50 <br />1907.4 <br />309.3 <br />-'23" <br />1105.7 - <br />117.38 - <br />30 <br />1535.3. <br />202.12 <br />37 <br />1917.1 <br />312.2 <br />10 <br />11174.4 <br />119.12 <br />-30 <br />1544.2 <br />204.44 <br />10 <br />1926.4 <br />315.2 <br />•'20 <br />'1183.1 <br />120.57 <br />20 <br />1553.1 <br />200.77 <br />20 <br />1935.7 <br />318.1 <br />30 <br />1191.8 <br />122.63 <br />30 <br />.1562:1 <br />209.12 <br />30 <br />1045.0 <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 />5O <br />1209.2 <br />126.20 <br />50 <br />1580.0 <br />213.80 - <br />- 50 <br />'-1063.6 <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 />129.82 <br />10 <br />1598.0 <br />218.7 <br />10 <br />1982.2 <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 />I615.9 <br />223.5 <br />30 <br />2000.9 <br />339.3 <br />40 <br />.1252.S <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 />137.23 <br />50 <br />1033.9 <br />228.4 '' <br />50 <br />2019:6. <br />345.5 <br />25 <br />1270.2 <br />139.11 <br />32 <br />1043.0 <br />230.9 <br />39 <br />2020.0', <br />348.6 <br />10 <br />1279.0 <br />141.01 - <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 />1601.0 <br />235.9 <br />20 <br />2047.8' <br />354:9 <br />30 <br />'1296,5 <br />144.85 <br />30 <br />1670.0 <br />238.4 <br />30 <br />2057.2 <br />.3581 <br />.10 <br />1305.3 <br />146.70 <br />40 <br />1679.1 <br />241.0 <br />40 <br />2066.6 <br />301:3 <br />50 <br />A 31'4.0 <br />148.75 <br />50 <br />1688.1 <br />243.5 <br />50 <br />2076:0 <br />364.5 <br />26 <br />1322.8 <br />150.71 <br />33 <br />1697.2 <br />240.1 <br />40 <br />2085,4' <br />357.7 <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 />38018 <br />50 <br />1360:8 <br />160.76 <br />50 <br />1742.6 <br />•259.1 <br />50 ' <br />2132.7- <br />.384.1 <br />%7 <br />1375.6 <br />162.81 <br />34 <br />1751.7 <br />261.8 <br />41 <br />2142:2 <br />387.4 <br />10 <br />138.1.4 <br />164.80 <br />10 <br />1760.8 <br />264.5 <br />10.2151.7 <br />390.7 <br />20 <br />1393.2 <br />166.95 <br />2U <br />1770.0 <br />267.2 <br />20 <br />2161:2 <br />394.1 <br />30 <br />1402:0. <br />169.04 <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 />2189 9 <br />404.2 <br />28 <br />1423.6 <br />175.41 <br />35 <br />1800.0 <br />278.1 <br />42 <br />2199.4 <br />407.6 <br />10 <br />1437.4 <br />177.55 <br />10 <br />1315.7 <br />280.8 <br />10 • <br />2209.0 <br />411.1 <br />20 <br />1446:3. <br />179.72 <br />20 <br />1324.9 <br />283.6 <br />20 <br />2218.6 <br />414.5 <br />30 <br />1455.1 <br />181.59 <br />30 <br />1834.1 <br />286.4 <br />30' <br />2226.1 <br />'.418.0 <br />40 , <br />1464.0 <br />I84.08 <br />40 <br />1843.3 <br />289.2 <br />40 <br />2237.7 <br />421.4 <br />50 <br />1472:9 <br />186.29 <br />50 <br />1852.5 <br />292.0 <br />50" ,2247.3 <br />425.0 <br />Corrections to be Added (T=Tangent. E=External.) <br />Ink <br />Angle <br />-2D° <br />Curve 5° 10° <br />-T <br />15° <br />20° <br />25 ° <br />30° <br />-35° 40° <br />45° <br />50" 55° <br />60° 65° <br />70° <br />=.00 .13 <br />.19 <br />.26. <br />.32 <br />.39 <br />.45 .51 <br />.58 <br />65 72 <br />.79 .84 <br />90 <br />E =:006 .011 <br />.017 <br />,p22 <br />.038 <br />.034 <br />.038 .045 <br />.051 <br />.057 .003 <br />.070 .076 <br />.093 <br />255 <br />T =:08 .16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.58 .67 <br />.75 <br />.83 .90 <br />.09 1.06 <br />1.14 <br />E =.009 .018 <br />.027 <br />.036 <br />.046 <br />.056 <br />.065 .074 <br />.453 <br />.093 ..106 <br />'.120 .127 <br />.135 <br />30° <br />T=.10 .19 <br />.29 <br />.39 <br />.49 <br />.59 <br />:.69' .79 <br />.89 <br />.J9 1.09 <br />1.20 1.20 <br />1.39 <br />E=.013 .025 <br />..038 <br />.051 <br />.OG5 <br />.078 <br />.030 .103 <br />.110 <br />.129 .149 <br />.170 .179 <br />-.188 <br />35' <br />T =.11 22 <br />1 .34 <br />.47 <br />1 .58 <br />.69 <br />.86 .93 <br />1.05 <br />1-17 1.23 <br />1.42 1.54 <br />1.66 <br />E=,018 .035 <br />.054 <br />.072 <br />.086 <br />.109 <br />.131 .153 <br />.175 <br />.197 .213 <br />.230 .247 <br />.264 <br />40° <br />T=•13 "6 <br />.40 <br />.53 <br />.67 <br />.80 <br />.93 lA8 <br />1.20 <br />1.34 1.49 <br />1.64194 <br />E =-023 .040 <br />T=.1530 <br />.070 <br />Al <br />.098 <br />.GO <br />117 <br />.141 <br />.172 .203 <br />.234 <br />265 .277 <br />.290 .3I5 <br />'.341 <br />45° <br />76 ; <br />.91 <br />1.06 1.21 <br />1.37 <br />1.52- T. --,O-1.67 <br />2. 04 <br />2.21 <br />E=.030.' :0001 <br />.093 <br />AID <br />.153 <br />,194 <br />.216 .254 <br />.289 <br />.326 .351 <br />.378 .411 <br />.445 <br />