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U <br />1V TABLE. I. -- Tangents and Externals to a 1° Curve. <br />Chord =100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int. . <br />Angle <br />Tangent <br />External <br />.431 <br />2257.0 <br />423.5 <br />50° <br />2671,8 <br />592.3 <br />'570 <br />3110.9 <br />790.1 <br />10' <br />2266.65 <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 />500.4 <br />30 <br />.228.5.9 <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 />3170.0 <br />321..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 />832.0 <br />30 <br />2344.1 <br />461.0 <br />30 <br />2763.7 <br />631.7 <br />30 <br />3205.8 <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 />842.7 <br />.50 <br />2363.5 <br />468.4 <br />.50- <br />2784.2 <br />640.7 <br />50 <br />3230.7 <br />845.1 <br />4$ <br />2373.3 <br />472.1 <br />52 <br />2794.5 <br />645.2 <br />59 <br />3241.7 <br />553.5 <br />10 <br />2383.1 <br />475.8 <br />10 <br />2804.9 <br />649.7 <br />10' <br />3252.7 <br />855.0 <br />20 <br />2392.8 <br />479.6 <br />20 <br />2815.2 <br />654.3 <br />20 <br />3263.7 <br />SG4.3 <br />30 <br />2402.6 <br />453.4 <br />30 <br />2825.6 <br />G58.8 <br />30 <br />3274.8 <br />869.8 <br />40 <br />2412.4 <br />487.2 <br />40 <br />2835.9 <br />GG3.4 <br />40 <br />3285.8 <br />87.5.3 <br />.50 <br />2422.3 <br />491.0 <br />50 <br />234G.3 <br />663.0 <br />50 <br />3296.9 <br />830.8 <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 />G77.3 <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 />2838.0 <br />"686.7 <br />30 <br />.3341.4 <br />003.2 <br />40 <br />2471.5 <br />510.3 <br />40 <br />2598.4 <br />691.4 <br />40 <br />3352.6 <br />005.8 <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 />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 />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 />3405.8 <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 />53S.2 <br />50 <br />2972.1 <br />725.0 <br />50 <br />3431.4 <br />948.9 <br />4$ <br />2551.0 <br />542.2 <br />55 <br />2952.7 <br />729.9 <br />62 <br />3442.7 <br />951.8 <br />10 <br />2561.0 <br />546.3 <br />10 <br />2993.3 <br />734.8 <br />10 <br />3454.1 <br />9610.6 <br />20 <br />2571.0 <br />550.4 <br />20 <br />3003.0 <br />739.7 <br />20 <br />3465.4 <br />9GG.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 />3483.3 <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 />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 />26.11.4 <br />579.5 <br />30 <br />3078.7 <br />774.7 <br />30 <br />3545.6 <br />1003.3 <br />40 <br />2651.5 <br />583.8 <br />40 <br />3089.4 <br />779.5 <br />40 <br />3557.2 <br />1014.4 <br />50 <br />26G1.6 <br />588.0 <br />50 <br />3100.2 <br />754.9 <br />50 <br />3568.7 <br />1020.5 <br />Corrections to be Added (T=Tangent. E=External.) <br />Angle <br />Curve 5° <br />10° <br />15° 20° <br />25° <br />30° <br />35° <br />40° 1 45° <br />50° <br />55° <br />60° <br />651 <br />70° <br />40° <br />T=13 <br />.26 <br />.40 .53 <br />.67.80 <br />1(Y <br />.93 <br />.1061.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />1651.7 <br />F =.023 <br />.046 <br />.070 .093 <br />.117 <br />.141 <br />.172 <br />.203 .234 <br />.265 <br />.277 <br />.200 <br />.315 <br />.341 <br />45° <br />T=.15 <br />.30 <br />.44 .60 <br />.76 <br />.91 <br />1.06 <br />1.21 1.37 <br />1.52 <br />1.70 <br />1:57 <br />2.04 <br />2.21 <br />4695.2 <br />E =.030 <br />.060 <br />.093 .119 <br />.153 <br />.184 <br />.216 <br />.254 .2S9 <br />,325 <br />.351 <br />.378 <br />.411 <br />.445 <br />50° <br />T=.17 <br />.34 <br />.51 .68 <br />.85 <br />1.03 <br />1.19 <br />1.36 1.54 <br />1.72 <br />1.91 <br />2.10 <br />2.29 <br />2AS <br />10 <br />E =.037 <br />.075 <br />.116 .151 <br />.189 <br />.227 <br />266 <br />.305 .345 <br />.384 <br />.425 <br />.467 <br />.508 <br />.550 <br />55° <br />T=.10 <br />.33 <br />.57 .76 <br />.95 <br />1.14 <br />1.32 <br />1.52 1.72 <br />1.92 <br />2.14 <br />2.35 <br />2.56 <br />2.7 <br />1332.3 <br />r =.040 <br />.003 <br />.142 .188 <br />.236 <br />.283 <br />.332 <br />3.81 .420 <br />.479 <br />.530 <br />.582 <br />.641 <br />.700 <br />60° <br />T =.21 <br />.42 <br />.63 .84 <br />1.05 <br />1.27 <br />1.49 <br />1.71 1.94 <br />2.17 <br />2.38 <br />2.60 <br />2.83 <br />133.07 <br />4252.6 <br />E =.056 <br />.112 <br />.168 : 25 <br />.283 <br />.340 <br />.308 <br />.457 .516 <br />.575 <br />.636 <br />.697 <br />.771 <br />.851 <br />65oT=.23 <br />30. <br />.46 <br />.69 93 <br />11AG <br />1.40 <br />1.64 <br />1.88 2.13 <br />2.38 <br />2.03 <br />2.88 <br />3.13 <br />3.39 <br />40 <br />E =.067 <br />.135 <br />.204 .273 <br />.343 <br />.412 <br />.483 <br />.554 .625 <br />.697 <br />.711 <br />.845 <br />.922 <br />1.01 <br />TAllr.e I. -Tangents and Externals to a 1' Curve, v <br />Chord= 100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Intl <br />Angle <br />Tangent <br />External <br />64° <br />3580.3 <br />1026.6 <br />71° <br />4086.9 <br />1308.2 <br />78° <br />4G39.8 <br />I643.0 <br />1(Y <br />3591.9 <br />1032.8 <br />1.0' <br />4099,5 <br />1315.6 <br />10' <br />4653.6 <br />1651.7 <br />20 <br />3603.5 <br />1039.0 <br />20 <br />4112,1 <br />1322.9 <br />20 <br />4667.4 <br />1660.5 <br />-30 <br />3615.1 <br />1045.2 <br />30 <br />4124,8 <br />1330.3 <br />30 <br />4651.3 <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 />3635.5 <br />1057.7 <br />50 <br />4150,1 <br />1345.1 <br />50 <br />4709.2 <br />1686.9 <br />65 <br />3G50.2 <br />1063.9 <br />72 <br />4162.8 <br />1352.6 <br />79 <br />4723.2 <br />1G95.8 <br />10 <br />3661.9 <br />1070.2 <br />10 <br />4175,6 <br />1360.1 <br />10 <br />47.',7.2 <br />1704.7 <br />20 <br />3673.7 <br />1076.6 <br />20 <br />419S,5 <br />1367.6 <br />20 <br />47:,1.2 <br />1713.7 <br />30 <br />3655.4 <br />1082.9 <br />30 <br />4201.2 <br />1375.3 <br />30 <br />4765.3 <br />1722.7 <br />40 <br />3697.2 <br />1089.3 <br />40 <br />4214,0 <br />1332.3 <br />40 <br />4779.4 <br />1731.7 <br />50 <br />3709.0 <br />1095.7 <br />50 <br />4-26.3 <br />1390.4 <br />50 <br />3793.6 <br />1740.8 <br />66 <br />3720.9 <br />1102.2 <br />73 <br />4230.7 <br />1395.0 <br />80 <br />4307.7 <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 />4831.2 <br />1768.2 <br />30. <br />3756.5 <br />1121.7 <br />30 <br />4278.5 <br />1421.2 <br />30 <br />4350.5 <br />1777.4 <br />40 <br />3768.5 <br />112S.2 <br />40 <br />4291.5 <br />1429.0 <br />40 <br />4564.8 <br />1786.7 <br />50 <br />37S0.4 <br />-113.1.8 <br />50 <br />4304.6 <br />1436.8 <br />50 <br />4579.2 <br />1796.0 <br />67 <br />3792.4 <br />1141.4 <br />74 <br />'4317.6 <br />1444.6 <br />st <br />4893.6 <br />1805.3 <br />10 <br />3804.4 <br />1145.0 <br />10 <br />4330.7 <br />1452.5 <br />10 <br />4905.0 <br />1814.7 <br />20 <br />3316.4 <br />1.154.7 <br />20 <br />4343.5 <br />1460.4 <br />20 <br />4922.5 <br />1824.1 <br />30 <br />3528.4 <br />11G1.3 <br />30 <br />4356.9 <br />1468.4 <br />30 <br />4937.0 <br />1833.6 <br />40 <br />384U.5 <br />1163.1 <br />40 <br />•1370.1 <br />1476.9 <br />40 <br />4951.5 <br />1843.1 <br />50 <br />3852.6 <br />1174.8 <br />50 <br />4383:3 <br />143.1.4 <br />50 <br />4966.1 <br />1852.6 <br />68 <br />3SG4.7 <br />1151.6 <br />75 <br />4396.5 <br />1492.4 <br />82 <br />49S0.7 <br />1862.2 <br />10 <br />3876.8 <br />1188.4 <br />10 <br />4.109.8 <br />1500.5 <br />10 <br />4995.4 <br />1871.8 <br />20 <br />3859.0 <br />1195.2 <br />20 <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 />4449.7 <br />1524.9 <br />40 <br />5039.5 <br />1900.9 <br />50 <br />3925.6 <br />1215.8 <br />50 <br />446.',.1 <br />15"33.1 <br />'50 <br />,5054.3 <br />1910.7 <br />69 <br />3937.9 <br />1222.7 <br />76 <br />44761.5 <br />1541.4 <br />S3 <br />5069.2 <br />1920.5 <br />10 <br />3950.2 <br />1229.7 <br />10 <br />4489.0 <br />1549.7 <br />10 <br />5054.0 <br />1930.4 <br />20 <br />3962.5 <br />1236.7 <br />20 <br />4503.4 <br />1555.0 <br />20 <br />5099.0 <br />1940.3 <br />30 <br />3974.8 <br />12.13.7 <br />30 <br />4510.9 <br />156G.3 <br />30 <br />5113.9 <br />1950.3 <br />40 <br />39.57.2 <br />1250.8 <br />40 <br />4530.4 <br />1574.7 <br />40 <br />5123.9 <br />1960.2 <br />50 <br />3999.5 <br />1257.9 <br />• 50 <br />4514.0 <br />1553.1 <br />50 <br />51.13.9 <br />1970.3 <br />70 <br />'4011.9 <br />1365.0 <br />77 <br />4557.6 <br />1591.6 <br />84 <br />5159.0 <br />1950.4 <br />10 <br />402.1.4 <br />1272.1 <br />10 <br />4571.2 <br />1000.1' <br />10 <br />5174.1 <br />1990.5 <br />20 <br />4030.S <br />1279.3 <br />20 <br />4584.8 <br />1008.6 <br />- - 20 <br />5189.3 <br />2000.6 <br />30 <br />4040.3 <br />1256.5 <br />30 <br />4598.5 <br />1017.1 <br />30 <br />5204.4 <br />2010.8 <br />40. <br />4061.S <br />1203.6 <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 />1034.4 <br />50 <br />5234.0 <br />2031.4 <br />Corrections to be Added (T =Tangent. E =External.) <br />Curve 5° <br />110° <br />1� <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />Angle <br />00° <br />1.283 .05 <br />1.340 .27 <br />1.393 .40 <br />1.457 .71 <br />1.516 44 <br />2.575 <br />2.636 .38 <br />2.697 .60 <br />2.774 <br />.07 <br />3,851 <br />E= 056 <br />112 <br />.163 <br />.525 <br />T=.23 <br />65 <br />.46 <br />.60 <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 />E =.067 <br />.13.5 <br />.204_ <br />.273 <br />.343 <br />.412 <br />.483 <br />.554 <br />.625 <br />.697 <br />.711 <br />.845 <br />.9^_2 <br />1.01 <br />70° T=.25 <br />Sl <br />.76, <br />1.0'3 <br />1.28 <br />1.51 <br />1.80 <br />2.06 <br />2.33 <br />2.50 <br />2.88 <br />3.16 <br />3.44 <br />3.72 <br />E =.080 <br />.159 <br />.321 <br />.403 <br />AM <br />.568 <br />.652 <br />.735 <br />.SIG <br />.906 <br />.094 <br />1.08 <br />1.17 <br />° T=.27 <br />.56 <br />.240 <br />83 <br />1.13 <br />1.40 <br />1:69 <br />1.95 <br />327 <br />2.57 <br />2.87 <br />8.16 <br />3.47 <br />3.78 <br />4.09 <br />75 E =.095 <br />.182 <br />.236 <br />-383 <br />.480 <br />.578 <br />.673 <br />.71, <br />.877 <br />.977 <br />1.07 <br />1.18 <br />1.29 <br />1.39 <br />803 T=.30 <br />.61 <br />.91 <br />122 <br />1.53 <br />1.84 <br />2.15 <br />2.46 <br />''.73 <br />3.10 <br />3.44 <br />3.78 <br />4.12 <br />•1.40 <br />1;=.1.'0 <br />.220 <br />.332 <br />.445 <br />.558 <br />.671 <br />.7S7 <br />203 <br />1.02 <br />1.13_ <br />1.25 <br />1.38 <br />1.50 <br />1.62 <br />85' T=.33 <br />.66 <br />1.00 <br />1.33 <br />1.C3 <br />2.02 <br />'2.36 <br />2.70 <br />3.05 <br />3.40 <br />1 <br />3.77 <br />4.1.4 <br />4.55 <br />4.89. <br />E=.123 <br />X59 <br />.391 <br />.524 <br />.657 <br />,790 <br />.926 <br />1.06 <br />1.20 <br />1:35 <br />1.47 <br />1.62 <br />1.76 <br />.1 .91 <br />A <br />