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T.A13LE I. - Tangents and Externals to a 1' Curve. <br />Chord =100 ft. <br />_ ln <br />A=glet. <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent Paternal <br />Int, <br />.Angle <br />Tangent <br />External <br />4E° <br />2257.0 <br />428.5 <br />50° <br />2C 7.1.8 <br />592.3 <br />57° <br />3110.9 <br />790.1 <br />10' <br />2265.6 <br />432.0 <br />101' <br />2681.9 <br />596.6 <br />IV <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 />G05.3 <br />30 <br />3143.4 <br />.805.6 <br />40 <br />2295.3. <br />442:8 <br />40 <br />2712.5 <br />609.6 <br />f40 ' <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 />2314.0 <br />450.0 <br />51 <br />2732.9 <br />618.4 <br />58 <br />3176.0 <br />821.4 <br />10 <br />2324.6 <br />453.6 <br />10 <br />2743.1 <br />622.8 <br />10 <br />3186.9 <br />824.7 <br />20 <br />2334.2 <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 />90 <br />2353.8 <br />404.6 <br />40 <br />2773.9 <br />030.2 <br />40 <br />3219.7 <br />842.7 <br />50 <br />2363.5 <br />468.4 <br />50 <br />2784.2 <br />640.7- <br />50 <br />3230.7 <br />848.1 <br />46 <br />2373.3 <br />472.1 <br />52 <br />2704.5 <br />645.2 <br />59 <br />3241.7 <br />853.5 <br />'10 <br />2383.1 <br />475.8 <br />10 <br />04- <br />28.9 <br />649.7 <br />10 .:3252.7 <br />2.35 <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 />2S25.6 <br />658.8 <br />30 <br />3274:8 <br />869.8 <br />40 <br />'2412.4 <br />487.2 <br />40 <br />' 2S25.9 <br />663.4 ' <br />40 <br />3285.8 <br />875.'1 <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 />2850.7 <br />G72.7 <br />60 . <br />3308.0 <br />886.4 <br />10 <br />2441.0 <br />498.7 <br />10 <br />2867.1 <br />677.3 <br />1G <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 />90S.$ <br />50 <br />2481.4 <br />514.3 <br />50 <br />2908.9 <br />696.1 <br />-50 <br />3363.5 <br />914.5 <br />47 <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 />'110 <br />2929.9 <br />705.7 <br />16 <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.G <br />3U <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 />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 />652982.7 <br />76 <br />729.91 <br />62 <br />3442.7 <br />054.8 <br />10` <br />2561.0 <br />546.3 <br />i0 <br />2993.3 <br />734.8 <br />10 <br />3454.1 <br />960.0 <br />20 <br />2571.0 <br />.550.4 <br />20 <br />3003.9 <br />739.7 <br />20 <br />3465.4 <br />066-5 <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 />559.6 <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 />56 <br />3046.5 <br />759.6 <br />63 <br />3511.1 <br />990.2 <br />10 <br />2021.2 <br />571.1 <br />10 <br />3057.2 <br />704.6 <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 />2551.5 <br />583.8 <br />40 <br />3089.4 <br />779.8 <br />40 <br />3557.2 <br />1014.4 <br />50 <br />2651.6 <br />588.0 <br />50 <br />3100.2 <br />7S4.9 <br />5.0 <br />3568.7 <br />1020:5 <br />Corrections to be Added (T' =Tangent. E = External.) <br />inti. <br />Tan ent <br />External <br />int. <br />Tangent <br />External <br />Int. <br />Angie <br />Tangent <br />External <br />64° <br />3580.3 <br />',_1026.6 <br />71° <br />.4086.9 <br />1308.2 <br />Anglo <br />Cuve 5° <br />'10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />SO- 1 <br />55° <br />60° <br />65° <br />70° <br />40° <br />T=.13 <br />.26 <br />.40 <br />.53 <br />.67, <br />.80 <br />.93 <br />.106 <br />1.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />40 <br />E=.023 <br />.046 <br />.070 <br />AM <br />.1 i7 <br />.141 <br />.172 <br />.203 <br />.234 <br />.265 <br />.277 <br />290 <br />.315 <br />.34i. <br />45° <br />T =•15 <br />39 <br />.44 <br />.BG <br />.76 <br />.91 <br />1.06 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.37 <br />2.04 <br />2.2t <br />10 <br />E=.()30 <br />..060 <br />.093 <br />.119 <br />.153 <br />.184 <br />.216 <br />.254 <br />,289 <br />.325 <br />.351 <br />.378 <br />.411 <br />.445 <br />50° <br />T=.17 <br />.34 <br />.51 <br />G8 <br />.85 <br />1.02 <br />1.19 <br />1.36 <br />1.54 <br />1:2 <br />1.91 <br />2.10 <br />2.20 <br />2.48 <br />40 <br />E =A37 <br />.07E <br />.116 <br />.151 <br />.189 <br />.227 <br />.266 <br />.305 <br />.345 <br />.389 <br />.425 <br />.467 <br />.508 <br />.550 <br />55° <br />T=.19• <br />18 <br />.57 <br />.76.95 <br />1749.9 <br />1.14 <br />1.32 <br />1.52 <br />1.72 <br />1.92 <br />2.14 <br />2.35 <br />2.56 <br />2.7i <br />20 <br />E =.040 <br />.093 <br />..142 <br />.188 <br />.236 <br />.283 <br />.332 <br />3.81 <br />.420 <br />.479 <br />.530 <br />.582 <br />.641 <br />.700 <br />6C° <br />T=.21 <br />=.056, <br />.42 <br />.112 <br />.63 <br />.168 <br />.34 <br />.225 <br />1.05 <br />.283 <br />1.27 <br />.340 <br />lA9 <br />.398 <br />1.71 <br />.457 <br />i.94 <br />.516 <br />2.17 <br />.575 <br />2.38 <br />.G3fi <br />2.60 <br />.697:774 <br />2.83 '3.07 <br />.851 <br />�° <br />_L <br />T=.23 <br />E --.007 <br />.46 <br />.335 <br />.69 <br />.204 <br />.93 <br />.273 <br />1.16 <br />.343 <br />1.40 <br />.412 <br />1.64 <br />•433 <br />1.88 <br />.554 <br />2.13 <br />.625 <br />2.38 <br />.887 <br />2.63 <br />.711 <br />2.88 <br />.845 <br />3.13 <br />.922 <br />3.39 <br />1.01 <br />TAl1Lm i. - Tangents and Externals to a 1° Curve. <br />Chord =100 ft. <br />Angle <br />Tan ent <br />External <br />int. <br />Tangent <br />External <br />Int. <br />Angie <br />Tangent <br />External <br />64° <br />3580.3 <br />',_1026.6 <br />71° <br />.4086.9 <br />1308.2 <br />78° <br />4630.8 <br />1643.0 <br />10' <br />3591.0 <br />1032.8 <br />10' <br />;4099.5 <br />1315.0 <br />10' <br />4653.6 <br />1G51.7 <br />20 <br />3603.5 <br />1039.0 <br />20 <br />4112.1 <br />1322.9 <br />20 <br />4667.4 <br />1.660.5 <br />30 <br />3615.1 <br />1045.2 <br />30 <br />`4124.8 <br />1330.3 <br />30 <br />4681.3 <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 />1678.1 <br />50 <br />3638.5 <br />1057.7 <br />50. <br />4150.1 <br />1345.1 <br />50 <br />4709.2 <br />1G86.9 <br />65 <br />3650.2 <br />1063.0 <br />72 <br />4162.8 <br />1352.6 <br />79 <br />4723.2 <br />1695.8 <br />10 <br />3651.9 <br />1070.2 <br />10 <br />4175.6 <br />1360.1 <br />10 <br />4737.2 <br />170_.7 <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 />4'_01.2 <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 />1740.8 <br />66 <br />3720.9 <br />1102.2 <br />73- <br />4239.7 <br />1398.0 <br />80 <br />4807.7 <br />1749.9 <br />10• <br />3732.7 <br />1108.6 <br />10 <br />:4252.6 <br />1405.7 <br />10 <br />4822.0 <br />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 />1777.4 <br />40 <br />3768.5 <br />1128.2 <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 />1436.8 <br />50 <br />4879.2 <br />1796.0 <br />67 <br />3702A <br />1141.4 <br />74 <br />4317.6 <br />1444.6 <br />8?, <br />4893:6 <br />1805.3 <br />10 <br />3804,4 <br />1148.0 <br />10 <br />4330.7 <br />1452.5 <br />10 <br />4908.0 <br />1814.7 <br />20 <br />OSHA <br />1154.7 <br />20 <br />4343.8 <br />1460.4 <br />20 <br />4922.5 <br />I824.1 <br />30 <br />3828.4 <br />1161.3 <br />30 <br />4356.9 <br />1.568.4 <br />- 30 <br />4937.0 <br />1833.G <br />40 <br />3840.5 <br />1168,1 <br />•40 <br />4370.1 <br />1476.4 <br />40 <br />4951.5 <br />1843.1 <br />50 <br />3852.6 <br />1174.8 <br />"50 <br />4383.3 <br />1484.4 <br />50 <br />4966.1 <br />IS52.0 <br />68 <br />3864.7 <br />1181.6 <br />76 <br />4396.5 <br />1402.4 <br />82 <br />4980.7 <br />1882.2 <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 />20 <br />4423.1 <br />1508.6 <br />20 <br />5010.0 <br />I881.5 <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 />4449.7 <br />1524.9 <br />40 <br />5039,5 <br />1900.9 <br />50 <br />3925.6 <br />1215.8 <br />50 <br />4403.1 <br />1533.1 <br />5G <br />5054,3 <br />1910.7 <br />69 <br />3937.0 <br />1222.7 <br />76 <br />4476.5 <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 />39G2.5 <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 />4516.0 <br />1566.3 <br />30 <br />5113.8 <br />1950.3 <br />40 <br />3987.2 <br />1250.8 <br />40 <br />4530.4 <br />1574.7 - <br />40 <br />5228.9 <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 <br />4557.6 <br />1591.6 <br />84 <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 />1999.5 <br />20 <br />4036.8 <br />1279.3 <br />20 <br />4584.8 <br />1608.6 <br />20 <br />5189.3 <br />2000.6 <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 />40 <br />5219.7 <br />2021.1. <br />50 <br />4074.4 <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 />Curve 5° <br />10° 15° 20° <br />25° 30°[1.40 <br />401 <br />4� <br />50° <br />55° 60° 65° <br />70° <br />_Angle <br />Co. <br />T=.21 <br />.42 .63 .84 <br />1.05 1.21 <br />1.71 <br />1.94 <br />2.17 <br />2.38 2.60 2.83 <br />3.07 <br />E=.056 <br />.112 .168 .225 <br />.283 .3408 <br />.457 <br />.515 <br />.575 <br />.630 .697 .774 <br />,851 <br />65° <br />T=.23 <br />.46 .69 .93 <br />1.16 1.40 <br />1.88 <br />2.13 <br />2.38 <br />2.63 2.88 3.13 <br />3.39 <br />E=.067 <br />.135 .204 .273 <br />.343 .4123 <br />.554 <br />.025 <br />.697 <br />.711 845 .923 <br />1.01 <br />70° <br />T=.25 <br />.61 .76 1.02 <br />1.28 1.54 <br />2.06 <br />2.33 <br />2.60 <br />2.86 3.1e 3.44 <br />3.72 <br />E=-080 <br />.159 .240 .3 21 <br />.403 .4858 <br />.652 <br />.735 <br />.819 <br />.900 .994 1.08 <br />1.17 <br />75° <br />T=.27 <br />68 .83 1.12 <br />1.40 1.69 <br />11.98 <br />2.27 <br />2.57 <br />2.87 <br />3.15 3.47 3.78 <br />4.09 <br />E =.095 <br />.182 .286 .383 <br />.480 .578 <br />.678 <br />.777 <br />.877 <br />.977 <br />1.07 1.18 1.20 <br />1.39 <br />80° <br />=.30 <br />81 .91 1.22 <br />1.53 1.84 <br />2,15 <br />2.46 <br />2.78 <br />3.10 <br />3.44 3.78 4.12 <br />4.46 <br />E =.110 <br />.220 .332 <br />.071 <br />.787 <br />.903 <br />1.02 <br />1.13 <br />1.25 1.38 1.50 <br />1.62 <br />85° <br />T=.33 <br />8B 1.00 12.02 <br />U <br />2.36 <br />2.70 <br />3.05 <br />3.40 <br />3.77 4.14 4.55 <br />4 89 <br />E=.128 <br />259 .391 <br />.790 <br />.926 <br />1.06 <br />1.20 <br />1:34 <br />1.47 7.62 1.70 <br />1.91 <br />