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1Y TAnr.>;, 1. - Tangents and Externals to a P Curve. <br />Chord= 100 ft. <br />Angle <br />Tangent <br />Extemal <br />Angie <br />Tangent External <br />Angie <br />Tangent <br />External <br />430 <br />2257.0 <br />428.5 <br />501 <br />2671.8 <br />592.3 <br />57° <br />3110.9 <br />790.1 <br />10' <br />2266.6 <br />432.0 <br />101 <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 />3132.0 <br />EDO.4 <br />30 <br />228.3.9 <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 />23U5.2 <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 />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 />832.6 <br />30 <br />2344.1 <br />4GL 0 <br />30 <br />2763.7 <br />631.7 <br />30 <br />3208.8 <br />837.3 <br />40 <br />^353.8 <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 />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 />838.9 <br />20 <br />2392.8 <br />479.6 <br />20 <br />2815.2 <br />654.3 <br />20 <br />3263.7 <br />804.3 <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 />875.3 <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 />1796.0 <br />67 <br />3792.4 <br />t <br />74 <br />4317.6 <br />1444.6 <br />81 <br />4893.6 <br />46 <br />2432.1 <br />494.8 <br />53 <br />2856.7 <br />672.7 <br />60 <br />3309.0 <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 />9U3.2 <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 />47 <br />2491.3 <br />518.2 <br />54 <br />2919.4 <br />700.9 <br />8I <br />3375.0 <br />020.2 <br />10 <br />2301.2 <br />522.2 <br />10 <br />2929,9 <br />705.7 <br />LO <br />338G.3 <br />025.9 <br />20 <br />2511.2 <br />526.1 <br />20 <br />2940,4 <br />710.5 <br />20 <br />3397.5 <br />031.6 <br />30 <br />2321.1 <br />.530.1 <br />30 <br />2951,0 <br />715.3 <br />30 <br />3408.8 <br />037.3 <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 />55 <br />2982.7 <br />729.0 <br />62 <br />3442.7 <br />054.8 <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 />SM.4 <br />20 <br />3003,9 <br />739.7 <br />20 <br />3165.4 <br />966.5 <br />30 <br />'2581.0 <br />554.5 <br />30 <br />2014.5 <br />744.6 <br />30 <br />3476.8 <br />971.4 <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 />2G01.1 <br />5G2.8 <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 />764.6 <br />10 <br />3522.6 <br />99G.2 <br />20 <br />2031.3 <br />575.3 <br />20 <br />30G7.9 <br />769.7 <br />20 <br />3534.1 <br />1002,3 <br />30 <br />2041.4 <br />579.5 <br />30 <br />3078.7 <br />774.7 <br />30 <br />3545.6 <br />1008.3 <br />40 <br />2051.5 <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.) lC <br />Angle <br />01rve 51 10° <br />35° <br />20° <br />25° <br />30° 1 35° 40° 1 45° 50° <br />55° 1 60° 1 6S° 70° <br />40° <br />T=.13 .26 <br />A0 <br />.53 <br />.67 <br />.80 .93 .105 1.20 1.34 <br />1.49 1.64 1.79 1.91 <br />1308.2 <br />E=.023 .046 <br />.070 <br />.D93 <br />.117 <br />.141 .172 .203 .234 .265 <br />.277 °90 .315 .311 <br />45° <br />T=.15 '.30 <br />A4 <br />.60 <br />.76 <br />.91 1.06 1.21 1.37 1.32 <br />1.70 1.872.04 2.21 <br />3G03.5 <br />_E=030 .060 <br />.093 <br />.119 <br />AN <br />.184 .216 .254 .289 .325 <br />.351 .378 .411 .445 <br />•50° <br />T=.17 .34 <br />.51 <br />.68 <br />.85 <br />1.02 1.19 1.30 1.54 1.72 <br />1.91 2.10 2.29 2.48 <br />30 <br />E =.037 .075 <br />.116 <br />151 <br />.189 <br />.227 .266 .305 .345 .384 <br />.425 .467 .508 .550 <br />55° <br />T=.19 38 <br />.57 <br />.76 <br />.95 <br />1.14 1.32 1.52 1.72 1.92 <br />2.14 2.35 2.50 2.-7 <br />T <br />E=.046 093 <br />.142 <br />.186 <br />.236 <br />.233 332 3.81 A 20 .479 <br />.530 .582 .041' .700 <br />60° <br />T= 21 ( .42 <br />.63 <br />.84 <br />L.05 <br />1.27 1.49 1.71 1.94 2.17 <br />2.38 2.60 2.63 3.07 <br />_ <br />E=.056 .112 <br />.168 <br />.225 <br />.283 <br />.340 .398 .457 .516 .575 <br />.G36 .697 .774 .851 <br />1360.1 <br />T=.231 .45 <br />.69 <br />.93 <br />Lib <br />-4 1.64 1.68 2.13 2'.38 <br />2.63 2.88 3.13 3.39 <br />20 <br />E m.06] .135 <br />.204 <br />.273 <br />.343 <br />.412 .483 .554 .625 .697 <br />.711 ,845 .922 1.01 <br />TASLM 1. - Tangents and Externals to a 1° Curve. V <br />Chord =100 ft. <br />Int. Tangent External <br />Angle <br />Curve 5° <br />IV <br />Int. <br />[4n81e <br />Tangent <br />g <br />External <br />Int. `Tangent <br />Angle <br />45° <br />External <br />64° <br />3550.3 <br />1026.6 <br />71° <br />4086.9 <br />1308.2 <br />-78° <br />4639.8 <br />1G43.0 <br />10' <br />3591.9 <br />1032.8 <br />10' <br />4099.5 <br />1315.0 <br />10' <br />4G53.6 <br />1051.7 <br />20 <br />3G03.5 <br />1039.0 <br />20 <br />4112.1 <br />1322.9 <br />20 <br />4667.4 <br />1660.5 <br />30 <br />3515.1 <br />1045.2 <br />1 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 />1086.9 <br />65 <br />3680.2 <br />1063.9 <br />72 <br />4102.8 <br />1352.6 <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 />1701..7 <br />2U <br />3673.7 <br />1076.0 <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 />414.0 <br />1382.8 <br />40 <br />4779.4 <br />173t.7 <br />50 <br />3700.0 <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 />1740.9 <br />10 <br />3732.7 <br />1108.6 <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 />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 />4S64.8 <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 />3792.4 <br />1141.4 <br />74 <br />4317.6 <br />1444.6 <br />81 <br />4893.6 <br />1805.3 <br />10 <br />3801.4 <br />1148.0 <br />10 <br />4330.7 <br />1.152.5 <br />10 <br />4908.0 <br />1814.7 <br />20 <br />3816.4 <br />1154.7 <br />20 <br />4343.8 <br />1460.420 <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 />1933.6 <br />40 <br />3S40.5 <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 />1652.6 <br />GS <br />3864.7 <br />1181.6 <br />75 <br />4396.5 <br />1492.4 <br />82 <br />4989.7 <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 />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 />391:1.4 <br />1208.0 <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 />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 />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 />1.558.0 <br />20 <br />5099.0 <br />1940.3 <br />30 <br />3974.8 <br />1243.7 <br />30 <br />4516.9 <br />1566.3 <br />30 <br />5113.0 <br />1950.3 <br />40 <br />3987.2 <br />1250.8 <br />40 <br />4330.4 <br />1574.7 <br />40 <br />5128.9 <br />1960.2 <br />50 <br />3909.5 <br />1257.9 <br />50 <br />4544.0 <br />1533.1 <br />50 <br />5t43.9 <br />1970.3 <br />70 <br />4011.9 <br />1265.0 <br />77 <br />4557.6 <br />1591.6 <br />94 <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 />1990.5 <br />20 <br />4036.8 <br />1279.3 <br />20 <br />4594.8 <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 />1017.1 <br />30 <br />5204.4 <br />2U10.8 <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 />Iat <br />Curve 5° <br />IV <br />° 20° <br />25° 30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° 70° <br />_Angle <br />.42 <br />11 <br />1.11 <br />1.310 .11 <br />1.40 <br />1.4n7 <br />1.518 <br />2.17 <br />2.38 <br />2.697 .60 <br />83 3.07 <br />2 <br />E3.068 <br />1I221 <br />68 .2Z5 <br />263 <br />.398 <br />.575 <br />.636 <br />774 851 <br />T=.23 <br />.93 <br />1.18 1.40 <br />1.64 <br />1.88 <br />2.13 <br />2.38 <br />2.63 <br />2.88 <br />3.13 3.39. <br />65° <br />1;=.067 <br />.489 <br />.13504 <br />.273 <br />[.76 <br />.343 .412 <br />.483 <br />.554 <br />.625 <br />.697 <br />.711 <br />.845 <br />.922 1.01 <br />76, <br />T=.25 <br />.51 <br />1.02 <br />1.28 1.54 <br />1.80 <br />2.06 <br />2.33 <br />2.60 <br />2.88 <br />3.16 <br />3.44 3.72 <br />F=.080 <br />.15940 <br />.321 <br />.403 .485 <br />.558 <br />.652 <br />.735 <br />.819 <br />.906.994 <br />1.08 1.17 <br />T=.27 <br />.563 <br />1.1.2 <br />1.40 1.69' <br />1.98 <br />2.27 <br />2.57 <br />2.87 <br />3.1B <br />3.47 <br />3.78.0i5' <br />E=.095 <br />.18286 <br />.383 <br />.480' .578 <br />.678 <br />.777 <br />.877 <br />.977 <br />1.07 <br />1.18 <br />1.29 1.39 <br />T=.30 <br />.81 <br />.91 1.22 <br />1.53 1.84 <br />2.15 <br />2.46 <br />2.78 <br />3.10 <br />3.44 <br />3.78 <br />4.12 4.46 <br />80° <br />E =.110 <br />.220 <br />.332 .445 <br />.558 .671 <br />.767 <br />.903 <br />1.02 <br />1.13 <br />1.25 <br />3.77 <br />1.38 <br />4.14 <br />1.50 1.82 <br />4.55 4.89 <br />85° T=33 <br />66 <br />1.00 1.33 <br />1.68 2.02 <br />2.30 12.70 <br />3.05 <br />3.40 <br />E=.12 <br />.259 <br />.391 .524 <br />.637 .79D1 <br />.9:611.06 <br />1.20 <br />1:34 <br />1.47. <br />1.62 <br />1.76 1.91 <br />m u¢r <br />