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IV TAHLE;I: - Tangents and Externals to a•1e Curve. <br />Chord= 100 ft:: <br />Int. <br />Angle <br />Tan ent <br />g , . <br />External <br />Ing' <br />Angle - <br />Tangent <br />g <br />External <br />Int' <br />Angle <br />Tangent <br />External <br />43° <br />2257.0 <br />428.5 <br />50° <br />2671.8 <br />592.3 <br />570" <br />3110.9 <br />790.1 <br />10' <br />2266.6 <br />432.0 <br />10' <br />2651.9 <br />596:6 <br />10' <br />3121.7 <br />795.2 <br />20 <br />2276.2 <br />435.6 <br />'20 <br />2692.1 <br />600.9 <br />20, <br />3132.6 <br />800.4 <br />30 <br />2285.9 <br />439.2 <br />30 <br />2702.3 <br />605.3 <br />30 <br />3143.4 <br />805.6 <br />40 <br />2295.6 <br />442.8 <br />- 40 <br />2712.5 <br />609.6 <br />40 <br />3154.2. <br />810.9 <br />50 <br />2305.2 <br />446.4 <br />50 <br />2722.7 <br />614.0 <br />•50' <br />3165.1 <br />816.1. <br />.378 <br />2314.9 <br />.450.0 <br />51 • <br />'2732.9 <br />618:4 <br />58 <br />3176.0 <br />S21.4 <br />10 <br />2324.6 <br />453.6 <br />10 <br />2743.1 <br />622.8 <br />10 <br />3186.9 <br />826.7 <br />20 <br />2334.3 <br />457.3 <br />20 <br />2753.4 <br />627.2 <br />20 <br />3197.8 <br />532.0 <br />30 <br />2344.1 <br />461.0 <br />30 <br />2763.7 <br />631.7 <br />30 <br />3208.8 <br />837.3 <br />40 <br />2353.8 <br />464.6 <br />40 <br />2773.9 <br />636.2 <br />40 <br />3219.7 <br />8.12.7 <br />50 <br />2363.5 <br />468.4 <br />50. <br />2794.2 <br />640.7 <br />50, <br />3230.7 <br />84S.1 <br />45 <br />2373.3 <br />472.1 <br />52 <br />2794.5 <br />645.2 <br />50 <br />3241.7 <br />853.5 <br />10 <br />2383.1 <br />475.8 <br />10 <br />280_.9 <br />G49.7 <br />10 <br />3252.7 <br />858.9 <br />20 <br />2392.8 <br />479.6 <br />20 <br />2515.2 <br />654.3 <br />20 <br />3263.7 <br />864.3 <br />30 <br />2402.6 <br />483.4 <br />30 <br />2825.6 <br />658.8 <br />"30 <br />3274.8 <br />869.8 <br />40 <br />2412.4 <br />487.2 <br />.' 40 <br />2&35.9 <br />663.4 <br />40 <br />3285.8 <br />575.3 <br />50 <br />'2422.3 <br />491.0 <br />50, <br />2846.3 <br />668.0 <br />.50 <br />3296.9 <br />880.8 <br />46 <br />2432.1 <br />494.8 <br />53 <br />2856.7 <br />672.7 <br />60 <br />3308.0 <br />886.4 <br />10 <br />2441.9 <br />498.7 <br />10 <br />2867.1 <br />677.3 <br />10 <br />3319.1 <br />892.0 <br />20 <br />2451.8 <br />502.5 <br />20 <br />2877.5 <br />682.0 <br />, 20 <br />3330.3 <br />597.5 <br />30 <br />2461.7 <br />506.4 <br />30 <br />2888.0 <br />686.7 <br />30 <br />3341.4 <br />903.2 <br />40 <br />2471.5 <br />510.3 <br />40 <br />2898.4 <br />.691.4 <br />40 <br />3352.6 <br />908.8 <br />= 50 <br />2481.4 <br />514.3 <br />50 <br />2908.9 <br />696.1 <br />60 <br />3363.8 <br />914.5 <br />47". <br />2401.3 <br />518.2 <br />54 <br />2919.4 <br />700.0 <br />61 <br />3375.0 <br />920.2 <br />10 <br />2501.2 <br />522:2 <br />10- <br />2929.9 <br />705.7 <br />10 <br />3386.3 <br />925.0 <br />20 <br />2511.2 <br />526.1 <br />20! <br />2940.4 <br />710.5 <br />20 <br />3397.5 <br />931.6 <br />.30 <br />252 t. 1 <br />530.1 <br />30 <br />2951.0 <br />715.3 <br />30 <br />3408.8 <br />937.3 <br />AO <br />253 1. 1 <br />534.2 <br />40' <br />2961.5 <br />720.1 <br />40 <br />3420.1 <br />943.1 <br />50 <br />2541.0 <br />538.2 <br />50 <br />2972.1 <br />725.0 <br />50 <br />3431.4 <br />948.9 <br />48 <br />2551.0 <br />542:2 <br />55 <br />2982.7 <br />729.9 <br />62 - <br />3442.7 <br />954.8 <br />10 <br />2561.0 <br />546:3 <br />10 <br />2903.3 <br />734.8 <br />10 <br />3454.1 <br />960.6 <br />20 <br />2571.0 <br />550..4 <br />20' <br />3003.9 <br />" 739.7 <br />20 <br />3465.4 <br />966.5 <br />30 <br />2581.0 <br />554:5 <br />30 <br />3014.5 <br />744.6 <br />30 <br />3476.8 <br />972.4 <br />40 <br />2591.0 <br />558.6 <br />40 <br />3025.2 <br />749.6 <br />40 <br />3488.3 <br />978.3 <br />50 <br />2601.1 <br />562.8 <br />50 <br />3035.8 <br />754.6 <br />50 <br />3499.7 <br />984.3 <br />49 <br />2611.2 <br />566.9 <br />66 <br />3040.5 <br />759.6 <br />63- <br />3511.1 <br />990.2 <br />"10 <br />2621.2 <br />571.1 <br />10 <br />3057.2 <br />764.6 <br />10 <br />3522.6 <br />996.2 <br />20 <br />2631.3 <br />575.3 <br />20 <br />3067.9 <br />769.7 <br />20. <br />3534.1 <br />1002.3 <br />30 . <br />2641.4 <br />579.5 <br />" 30 <br />3078.7 <br />774.7 <br />30 <br />3545.6 <br />1008.3 <br />•40 <br />2651.5 <br />583.8 <br />40 <br />3059"4 <br />7x79.8 <br />40 <br />3557.2 <br />1014.4 <br />.50 <br />2661.6 <br />588.0 <br />50: <br />3100.2 <br />784.9 <br />50 <br />3568.7 <br />1020.5 <br />Corrections to be.Added (T=Tangent. E.= External.) <br />Angle <br />Curve 5° <br />104 <br />15° $0° <br />25° 30° 35° <br />40° <br />45° 50° <br />55° <br />60° <br />65° <br />70° <br />1020.6 <br />..71° <br />4086.9 <br />1308.2 <br />78°' <br />4639.8 <br />1643.0 <br />10' <br />3591.9 <br />1032.8 <br />10' <br />401 <br />T=.13• <br />.26 <br />.40 .53 <br />.67 .80• .93 <br />.106 <br />1.20 1.34 <br />1.49' <br />'.277 <br />1.64 <br />1.79 <br />1.94 <br />1 20 <br />E =.023, <br />.040 <br />.070 .093 <br />.117 .141 .172 <br />.203 <br />.234 .265 <br />4124.8 <br />290 <br />.315 <br />.341 <br />+50• <br />T=.15 <br />.30 <br />.44 .60 <br />.76 .91 1.06 <br />131 <br />1.37 1.52 <br />1.70' <br />1.87 <br />2.04 <br />Y.411 <br />2.21 <br />3638.5 <br />E =.030 <br />.660 <br />.093 .119 <br />.153 .184 .21G <br />.254 <br />.289 ..325 <br />.351 <br />.378 <br />3650.2 <br />.445 <br />50° <br />4162.8 <br />1352.0 <br />.51 151 <br />.85 1.227 .02 1.265 .19 <br />1.305 <br />1.345 .54 1.334 .72 <br />1.425 .01 <br />.10 <br />-.467 <br />.29 <br />2.508 <br />2.550 <br />1360.1 <br />E -.037 <br />.075 <br />.116 . <br />.1189 <br />3673.7 <br />1076.6 <br />20 <br />418S.5 <br />1367.6 <br />20 <br />sso <br />T=.19 <br />.38 <br />.57 .7G <br />.95 1.14 1.32 <br />1.52 <br />1.72 192 <br />2.14 <br />2.35 <br />2.56 <br />2.77 <br />40 <br />E=.046 <br />.093 <br />.142 .188 <br />236 .283 .332 <br />3.R1 <br />.420 .479 <br />.530 <br />.5S2 <br />.6141 <br />.709 <br />60° <br />T=.21 <br />.42 <br />.63' 84 <br />1.05 1.27 1.49 <br />1.71 <br />1.94 2.17 <br />2.38 <br />2.60 <br />2.83 <br />3.07 <br />4239.7 <br />E=,056 <br />.112 <br />.168 225 <br />.283 .340 .398 <br />.457 <br />.516 .575 <br />.636 <br />.697 <br />.774 <br />.851 <br />65° <br />T=.23 <br />.46 <br />.69 93 <br />11.16 1.40 1.64 <br />1.85 <br />2.13. 2.38 <br />2.63 <br />2.88 <br />3.13 <br />3:39 <br />1.61 <br />170S.2 <br />E =.067 <br />.135 <br />204 .273 <br />.848 x12 .483.625 <br />4278.5 <br />.697 <br />.711 <br />.845 <br />.922 <br />40 <br />i <br />�1\ <br />TAni.E•L,-_."Tangents• a,nd Externals to a 1`Curv& <br />Chord=100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />'Angle <br />Tangent <br />External <br />An t' <br />g e <br />Tangent <br />External <br />64° <br />358013 <br />1020.6 <br />..71° <br />4086.9 <br />1308.2 <br />78°' <br />4639.8 <br />1643.0 <br />10' <br />3591.9 <br />1032.8 <br />10' <br />4099.5 <br />1315.6 <br />00' <br />4653.6 <br />1651.7 <br />20 <br />3603.5 <br />1039.0 <br />`20 <br />,:4112.1 <br />1322.9 <br />1 20 <br />•4667.4 <br />1660.5 <br />30 <br />3615.1 <br />104.5.2 <br />30 <br />4124.8 <br />1330.3 <br />a0 <br />AGS1.3 <br />1669.2 <br />40 <br />3626.8 <br />1051.4 <br />40 <br />4137.4 <br />1337.7 <br />40 <br />4695.2 <br />1G78.1 <br />50 <br />3638.5 <br />1057.7 <br />50 <br />1150.1 <br />1345.1 <br />50 <br />4709.2 <br />1680,.9 <br />65 <br />3650.2 <br />1063.9 <br />72 <br />4162.8 <br />1352.0 <br />79 • <br />4723.2 <br />1695:8 <br />10 <br />3661.9 <br />1070.2 <br />10 <br />4175.6 <br />1360.1 <br />'10 <br />4737.2 <br />1704.7 <br />20 <br />3673.7 <br />1076.6 <br />20 <br />418S.5 <br />1367.6 <br />20 <br />4751.2 <br />1713.7 <br />30 <br />3685.4 <br />1082.0 <br />30 <br />4201.2 <br />. 1375.2 <br />30 <br />47115.3 <br />1722.7 <br />40 <br />3697.2 <br />1089.3 <br />40 <br />4214.0 <br />1383.5 <br />40 <br />4779A <br />1731.7 <br />50 <br />3709.0 <br />1095.7 <br />50 <br />4226.8 <br />1390.4 <br />50 <br />4793.6 <br />1740.3 <br />66 <br />3720.9 <br />1102"2 <br />73 <br />4239.7 <br />139S.0 <br />80 <br />4807.7 <br />1749.9 <br />10 <br />3732.7 <br />1105.6 <br />10 <br />4252.6 <br />1405.7 <br />.10 <br />4822.0 <br />1750.0 <br />20 <br />3744.6 <br />1115.1 <br />20 <br />4265:6 <br />1413.5 <br />20 <br />4S36.2 <br />170S.2 <br />30 <br />3756.5 <br />1121.7 <br />3.78 <br />4278.5 <br />1421.2 <br />30 <br />4850.5 <br />1777.4 <br />40 <br />3768.5 <br />1128.2 <br />,30 <br />40 <br />4291.5 <br />1429.0 <br />40' <br />4864:8 <br />1786.7 <br />50 <br />3780.4 <br />1134.8 <br />50 <br />4304.6 <br />1436.3 <br />50 <br />I <br />4879.2 <br />1796.0 <br />67 <br />3702.4 <br />1141.4 <br />74 <br />4317.6 <br />1444.6 <br />81 <br />4593.6 <br />1805.3 <br />10 <br />3804.4 <br />1148.0 <br />10 <br />4330.7 <br />1452.5 <br />10 <br />4903.0 <br />1814.7 <br />20 <br />3816.4 <br />1154.7 <br />20 <br />4343:8 <br />11GO. 4 <br />20 <br />4922.5 <br />1824.1 <br />30 <br />3828.4 <br />1161.3 <br />30 <br />4356.9 <br />1468.4 <br />30 <br />4937.0 <br />1833.6 <br />40 <br />3840.5 <br />1165.1 <br />40 <br />4370.1 <br />1476.4 <br />40 <br />4951.5 <br />1343.1 <br />50 <br />3852.6. <br />1174.8 <br />50 <br />4353.3 <br />1484.4 <br />50 <br />4966.1 <br />1852.6 <br />68 <br />38G4.7 <br />1181.6 <br />75 <br />4396:5 <br />1492.4 <br />82 <br />4980.7 <br />'1862.2 <br />10 <br />.3876-8 <br />1188.4 <br />10 <br />4409:8 <br />1500.5 <br />10 <br />4995.4 <br />1871.8 <br />20 <br />3889.0 <br />1195.2 <br />X20 <br />4423.1 <br />1508.6 <br />20 <br />5010.0 <br />1881.5 <br />30 <br />3901.2 <br />1202.0 <br />30 <br />4436:4 <br />1516.7 <br />30 <br />5024.8 <br />1891.2 <br />40 <br />3913.4 <br />1208.9 <br />.40" <br />4149.7 <br />1524.9 <br />40 <br />5039.5 <br />1000.9 <br />50 <br />3925.G <br />1215.8 <br />50 <br />4463.1 <br />1533.1 <br />50 <br />"5054.3 <br />1910.-7 <br />69 <br />3937.9 <br />1222.7 <br />76 <br />4476.5 <br />1541.4 <br />85 1 <br />50GO.2 <br />1920.5 <br />10 <br />3950.2 <br />1229.7 <br />10 <br />0 89.9 <br />1549.7 <br />-10 <br />5084.0 <br />1930.4 <br />20 <br />3962.5 <br />1236.7 <br />20 ' <br />4503.4 <br />1558.0 <br />20 <br />5099.0 <br />1940.3 <br />30 <br />3974.8 <br />1243.7 <br />30 <br />45161.9 <br />1566.3 <br />30 <br />5113.9 <br />1950.3 <br />40 <br />3987.2 <br />1250.8 <br />40 <br />4530A <br />1574.7 <br />40 <br />5128.9 <br />1960"2 <br />50 <br />3999.5 <br />1257.9 <br />50 <br />1544.0 <br />1553.1 <br />50 <br />5143.9 <br />1970.3 <br />70 <br />401:1•.0 <br />1265.0 <br />77 <br />4557:6 <br />.1501:G <br />81 <br />5159.0 <br />1980.4 <br />10 <br />4024.4 <br />1272.1 <br />10 <br />4571.2 <br />1600.1 <br />10 <br />5174.1 <br />1900.5 <br />20 <br />4030.8 <br />1279.3 <br />20. <br />4584.3 <br />1603.6 <br />_ <br />20 <br />5189.3 <br />2000.6 <br />30 <br />40,19.3 <br />1256.5 <br />30 <br />4598.5 <br />1617.1 <br />-•30 <br />5204.4 <br />2010:8 <br />40 <br />4061.8 <br />1293.0 <br />40 <br />4612.2 <br />1625.7 <br />.40, <br />5219.7 <br />2021.1 <br />50 <br />4074A <br />1300.9 <br />50 <br />4626.0 <br />1634.4 <br />50 <br />5234.9 <br />2031.4 <br />Corrections to be Added (T=Tangent. E=External.) <br />Angle <br />Cie 5° <br />10° <br />15° <br />20° <br />25° <br />306 <br />35° <br />40° <br />45° 1 <br />SO- <br />55° <br />60° <br />65° 1 <br />70° <br />60° <br />T= 21 <br />.42 <br />.63 <br />.84 <br />1.05 <br />1.27 <br />1,40 <br />1.71 <br />194 <br />2.17 <br />2.38 <br />2.60 <br />2.83 <br />3. T <br />E=:056' <br />.112 <br />.168 <br />325 <br />.283 <br />.310 <br />.393 <br />.457 <br />.516 <br />.575 <br />.636 <br />.097 <br />,774 <br />.851 <br />65° <br />-f=-23--46 <br />.46 <br />.69 <br />.93 <br />1.16 <br />1.40 <br />UT <br />1.S8 <br />2.13 <br />2.38 <br />2.63 <br />2.88 <br />3.13 <br />3.39 <br />E=.067 <br />.135 <br />.204 <br />.273 <br />.343 <br />.412 <br />.483 <br />.554 <br />.62:1 <br />.G97 <br />.711 <br />.845 <br />.922 <br />1.01 <br />70° <br />T=35 <br />.51 <br />.76 <br />1.02 <br />1.28 <br />1.54 <br />1. 0 <br />2.0"e <br />2.33 <br />2.60 <br />3.44 <br />3.72 <br />E=.080 <br />.159 <br />.240 <br />.321 <br />.403 <br />.485 <br />68 <br />.652 <br />.735 <br />.819 <br />.994 <br />1.08 <br />1.17 <br />75° <br />T=.27 <br />.56 <br />.83 <br />1.12 <br />1.4D <br />1.69 <br />1.98 <br />2.27 <br />2.57 <br />:2.R7 <br />3.47 <br />3.78 <br />4.09 <br />E=.095 <br />.182 <br />.286 <br />.383 <br />.480 <br />.578 <br />.678 <br />.777 <br />.877 <br />.9771.18 <br />F883.16 <br />1.29 <br />1.3980° <br />T=•30 <br />:61 <br />.91 <br />1.2: <br />1.53 <br />1.34 <br />2.15 <br />3.46 <br />2.78 <br />3.10 <br />3.78 <br />4.12 <br />4.46 <br />E=.110 <br />220 <br />.333 <br />.445 <br />.558 <br />.671 <br />.787 <br />.903 <br />1_02 <br />1.13 <br />1.38 <br />1.50 <br />1.62 <br />T=.33 <br />.66 <br />1.00 <br />1.33 <br />1.63 <br />2.03 <br />2.36 <br />2.70 <br />3.05 <br />3.0 <br />4.14 <br />4.55 <br />4.89 <br />E=.128 <br />.259 <br />.391 <br />.524 <br />.657 <br />.790 <br />.926 <br />LO6 <br />120 <br />1.34 <br />1.47 <br />1.62 <br />1.76 <br />1.91 <br />