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TAHI.s I. - Tangents and Externals to.a 10. Curve. <br />Chord =100 ft: <br />Angle <br />Tangent <br />External <br />Wigle <br />Tangent <br />External <br />- Angle, <br />Tangent <br />External <br />4$° <br />2257.0. <br />428.5 <br />50° <br />2671.3 <br />592.3 <br />570 <br />3110.9 <br />790.1 <br />10' <br />2266.6 <br />432:0 <br />10' <br />2681.9 <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 />44 <br />2314.9. <br />450.0 <br />51 <br />2732.9 <br />618.4' <br />58 <br />3176.0 <br />821.4 <br />. <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 />832.0 <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 />1.40 <br />'3219.7 <br />842.7 <br />'50 <br />2363.5 <br />468.4 <br />50 <br />2784.2 <br />640.71 <br />"`•50 <br />3230.7 <br />848.1 <br />.45 <br />2373.3 <br />472.1- <br />52 <br />2794.5 <br />645.2' <br />59, <br />3241.7 <br />853.5 <br />10 <br />2383.1 <br />475:8 <br />10 <br />'2804.9 <br />649:7 <br />10 <br />3252.7 <br />858.9 <br />20 <br />2392.8 <br />479.6 <br />20 <br />2815.2 <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 />2835.9 <br />663.4 <br />40 <br />3285.8 <br />875.8 <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 />&6.. <br />2432.1 <br />494.8' <br />53 <br />2856.7 <br />672.71 <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 />897.5 <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 />50 <br />3363.8 <br />'914.5 <br />10 <br />2491.3 <br />518.2 <br />54 <br />2919.4 <br />700.9 <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 />925.9 <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 />2521.1. <br />530.1 <br />30 <br />2951.0 <br />715.3 <br />30 <br />3408.8 <br />937.3 <br />40 <br />2531.1 <br />534.2 <br />40 <br />29615 <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 />2993.3 <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 />4g . <br />2611.2 <br />566.9 <br />50 <br />.3046.5 <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 />3089.4 <br />779.8' <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 />Int: <br />Curve 5° <br />10° <br />151 <br />20° <br />256 <br />30° <br />35°' <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />Angle <br />4639.8 <br />11643.0 <br />10' <br />3591.9 <br />'1032.8 <br />10', <br />4099.5 <br />1315.6 <br />10' <br />4653.6 <br />11651.7 <br />20 <br />3603.5 <br />'1039.0 <br />40° <br />4112.1 <br />1322.9 <br />20 . <br />4667.4 <br />11660.5 <br />30 <br />3615.1 <br />.1045.2 <br />1.234 <br />1.26 <br />1330.3 <br />30 <br />1.395 <br />1.941 <br />"40 <br />E=.023 <br />.046 <br />.070 <br />093 <br />117 <br />.141 <br />172 <br />203 <br />1.277 <br />3638.5 <br />1057.7 <br />:290 <br />4150.1 <br />1345.1 <br />450 <br />4709.2 <br />11686.9 <br />68 <br />3650.2 <br />'1063.9 <br />72 <br />1.21.37 <br />1.254 .21 <br />1 <br />1 <br />70 <br />1.351 <br />1.378 .87 <br />2.411 <br />2.21 <br />10 ; <br />E=.030 <br />060 <br />.093 <br />.119 <br />.153 <br />184 <br />6 <br />1076.6 <br />289 <br />3.52 25 <br />'1367.6 <br />20 <br />4751.2 <br />44E <br />30 <br />T=.17 <br />34 <br />.51 <br />68 <br />.85 <br />1.02 <br />1.19 <br />1.36 <br />1.54' <br />1.72 <br />1.91 <br />2.10 <br />2.29 <br />2.48 <br />50° <br />E =.037 <br />.075 <br />.116 <br />.151 <br />.189 <br />.227 <br />.266 <br />.305 <br />.345 <br />.384 <br />.425 <br />.467 <br />.508 <br />.550 <br />_ <br />55° <br />T=.19 <br />.38 <br />.57 <br />.76 <br />.95 <br />1.14 <br />1.32 11.52 <br />11.72 <br />10 <br />1.92 <br />2.14 <br />2.35 <br />2.56 <br />2.77 <br />- 20 <br />E=:046 <br />.093 <br />.142 <br />.188 <br />.236 <br />.283 <br />.3321 <br />3.81 <br />.420 <br />.479 <br />.530 <br />.582 <br />.641 <br />.700 <br />30 <br />T=.21 <br />1',777.4 <br />40 <br />.84 <br />1.05 <br />1.27 <br />1.49 <br />1.71 <br />1.94 <br />2.17 <br />2.38 <br />2.60 <br />2.83 <br />3.07 <br />60° <br />E=.056 <br />.42 <br />.112 <br />.63 <br />.168 <br />225 <br />.283 <br />.340 <br />.398 <br />.457 <br />.516 <br />.575 <br />.636 <br />.697 <br />.774 <br />.851 <br />65° <br />T=.23 <br />.46 <br />69 <br />93 <br />1.16 <br />1.40 <br />1.64 <br />1.88 <br />2.13 <br />2.38 <br />2.63 <br />2.88 <br />3.13 <br />3.39 <br />20 <br />E=.067 <br />.135 <br />204 273 <br />343 .412 <br />.483 .554 <br />.625 .697 <br />.711 <br />.845 ..922 <br />1.01 <br />v <br />Tklom '' : _ Tangents and Externals to a P.Curvei <br />Chord =100 ft. <br />Antle. <br />Angle' <br />Corrections to be Added (T =Tangent. E=External.) <br />Extemal <br />Int. <br />Angle' <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />F..rn.,.ol <br />64° <br />3580:3 <br />1026.6 <br />71° <br />4086.9 <br />1308.2 <br />78° <br />4639.8 <br />11643.0 <br />10' <br />3591.9 <br />'1032.8 <br />10', <br />4099.5 <br />1315.6 <br />10' <br />4653.6 <br />11651.7 <br />20 <br />3603.5 <br />'1039.0 <br />20 <br />4112.1 <br />1322.9 <br />20 . <br />4667.4 <br />11660.5 <br />30 <br />3615.1 <br />.1045.2 <br />30-_ <br />,4124.8 <br />1330.3 <br />30 <br />4681.3 <br />5669.2 <br />"40 <br />!3626:8 <br />1051.4 <br />40"4137:4'-1337.7 <br />. <br />40 <br />4695.2 <br />11678.1 <br />„'50 <br />3638.5 <br />1057.7 <br />50 <br />4150.1 <br />1345.1 <br />. <br />50 <br />4709.2 <br />11686.9 <br />68 <br />3650.2 <br />'1063.9 <br />72 <br />4162.8 <br />1352:6 <br />79 <br />4723.2 <br />1,695.8 <br />3661:9 <br />1070.2 <br />10 ; <br />4175.6 <br />1360.1 <br />10 <br />4737.2 <br />1704.7 <br />.110 <br />20 <br />3673.7 <br />1076.6 <br />20 <br />'4188.5 <br />'1367.6 <br />20 <br />4751.2 <br />1713.7 <br />30 <br />3685.4 <br />1082.9 <br />30 <br />;4201.2 <br />1375.2 <br />30 <br />4765.3, <br />1722.7 <br />40 <br />3697.2 <br />1089.3 <br />40 <br />.4214:0 <br />1382.8 <br />40 <br />4779.4. <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 />1'840.8 <br />66 <br />3720.9 <br />'1102:2 <br />73• <br />i <br />:4239.7 <br />.1398.0 <br />80 <br />4807:7' <br />1'749:9 <br />10 <br />3732:7 <br />1108.6 <br />10 <br />;4252.6 <br />1405.7 <br />10 <br />4822.0 <br />1'.1759.0 <br />- 20 <br />3744.6 <br />1115.1 <br />20 <br />'4265.6 <br />'1413.5 <br />'20 <br />4836.2 <br />1768.2 <br />30 <br />3756.5 <br />1121.7 <br />,30, <br />4278.5 <br />1421.2 <br />30 <br />4850:5" <br />1',777.4 <br />40 <br />3768.511128.2 <br />40 <br />j4291.5 <br />.1429.0 <br />40 <br />4864.8' <br />1'.'786.7 <br />'b0 <br />3780.4 <br />1134.8 <br />b0 <br />4304.6 <br />:1436.8 <br />50 <br />4879.2, <br />1'.796.0 <br />67 <br />3792.4 <br />1141:4 <br />74 ';. <br />4317.6 <br />1444.6 <br />81 <br />4893.6 <br />1.305.3. <br />10; <br />3804.4 <br />1148.0 <br />,10 <br />4330.7 <br />-1452.5 <br />10 <br />4908.0 <br />3.314.7 <br />20. <br />3816.4 <br />1154.7 <br />20 <br />4343.8 <br />1460.4 <br />20 <br />4922.5 <br />3.324.1 <br />30 <br />3828.4' <br />1161.3 <br />7 30 <br />4356.9 <br />1468.4 <br />30 <br />4937.0 <br />9.333.6 <br />40; <br />3840.5 <br />1168.1 <br />40 <br />4370.1, <br />1476.4 <br />.40 <br />4951.5 <br />1 3.343.1 <br />50 <br />'3852.6 <br />1174.8 <br />,50 _ <br />4383.3 <br />1484.4 <br />50 <br />.4966.1 <br />3.352.6 <br />68 ' <br />3864.7 <br />;1181.6' <br />75 : <br />.4396.5' <br />:1492.4 <br />82 <br />4980.7 <br />1.362.2 <br />10 <br />3876.8 <br />1188.4 <br />10 <br />4409.8 <br />'1500.5 <br />10 <br />4995.4 <br />7.371.8 <br />20 <br />3889.0' <br />1195.2 <br />20 <br />4423.1 <br />1508.6 <br />20 <br />5010.0 <br />1.981.5 <br />30 <br />3901.2 <br />1202.0 <br />30 <br />4436.4 <br />1516.7 <br />_ <br />.30 <br />5024.8 <br />7.391.2 <br />40 <br />3913.4 <br />1208.9 <br />40 <br />444M' <br />.1524.9 <br />40' <br />5039.5 <br />.7.900.9 <br />50 <br />3925.6. <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 />i <br />'1541.4 <br />83 <br />5069.2 <br />1920.5, <br />10 <br />3950.2 <br />1229.7 <br />• 10 <br />4489.9 <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 />.20 <br />5099.0 <br />1940.3 <br />30' <br />3974.8 <br />1243.7 <br />30 <br />4516.9 <br />,1558.0 <br />1566.3 <br />.30 <br />5113.9 <br />•1950.3 <br />40• <br />3987.2 <br />1250.8 <br />40 <br />4530.4 <br />1574.7 <br />40 <br />5128.9 ! <br />1960.2 <br />50 <br />3999.5' <br />.1257.9 <br />50 <br />'4544.0 <br />'1583.1 <br />.50 <br />5143.9 <br />1970.3 <br />70 <br />4011.9 <br />1265.0 <br />77. 15159.0 <br />4557.6,,1591.61 <br />84- <br />-:3980.4 <br />10. <br />4024.4' <br />1272A <br />10 <br />4571.21600.1 <br />10 <br />5174.1, <br />'11990.8 <br />20 <br />4036.8, <br />1279.3 <br />20 <br />4584.8' <br />1608.6 <br />20•. <br />5189.3, <br />2J00.6 <br />30_ <br />4049:3 <br />,1286.5 <br />+ ,30 <br />'4598.5 <br />,1617.1 <br />30 <br />5204.4 <br />,2010.8 <br />40,- <br />4061.8 <br />1293.6 <br />40 - <br />'4612.2 <br />1625.7 <br />,140 <br />5219.7 <br />021.1 <br />50 <br />.4074.4 <br />1300:9 <br />50 _ <br />4626.0 <br />1634.4 <br />50 <br />5234.9 <br />:P031,4 <br />Corrections to be Added (T =Tangent. E=External.) <br />Int. <br />(..e 5° <br />10° 1 15° 20° 25° 30° 1 350 40° -45° 50° 55-160- 65° 70° <br />Angle <br />� - <br />60o <br />1.283 .05 1 <br />168 1.398 .49 1 7 942.575 2 <br />1 2.697 .60 2.774 3,851 <br />E=.058 <br />112 .225 .3401.27 <br />457 516 636 <br />65° <br />T-.23, <br />46.69 .93 1.16 1.40 1.64 1.88 2.13 2.38 2.63 2.88 3.3:8 3.39 <br />E =.067 <br />:l;5 .204 .273 .343 .412 .483 .554 .625 .697 .711 .845 AM 1.01' <br />70°' <br />T=.25 <br />.51 '-.76 1.02 1.28 1.54 1.80 2.06 2.33 2.60 2.88 3.16 MA 3.72 <br />'.240 <br />E=.080 <br />'.159 .321 .403 .485 .568 .652 .735 .819 .906 .9941.09 1.17 <br />75°• <br />T=.27 <br />.56 .83 1.12 1.40 1.69 1.98 2.27 2.57 2.87 3.16 3.47 3.43 4.9 <br />E=.95 <br />_.182 .286 .383 .480 .578 .678 .777 .877 .9771.07 1.18 1.2;9 1.39 <br />800. <br />T=.30 <br />.61 .91 1.22 1.53 1.84 2.15 2.46 2.78 3.10 3.44 3.78. 4.7:2. 4.48 <br />E=.110 <br />.220 .332 .445 .558 .671 .787 .903 1.02 1.13 1.25 1.38 LAD 1.82 <br />T=.33 <br />66 1.9 1.33 1.68 2.02 2.38 2.70 3.05 3.40 3.77 4.14 4.SS 4.89 <br />E=.128- <br />259 -391 .524 .857 926 1.08. 1.20 134 1.e7 1.82 1.16 1.91 <br />