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IV TA13LE 1. - Tangents and Externals to a 1° Curve. <br />Chord -100 ft. <br />Angle <br />Tangent <br />Ezternal <br />iAn°giQ <br />Tangent <br />'External <br />Angle <br />Tangent <br />External <br />48° <br />2257•.0 <br />428.5 <br />50° <br />2671.'8 <br />502.3 <br />67' <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 />2121.7 <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 />2702A <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 />(109.6 <br />40 <br />3154.2• <br />810.9 <br />50 <br />2305.2 <br />446.4 <br />S0 <br />2722.7 <br />614.0 <br />50 <br />3165.1 <br />516.1 <br />44 -- <br />2314.9 <br />450.0 <br />61 <br />2732.9 <br />618.4 <br />68 <br />3176.,0 <br />821.4 <br />I0 <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 />40 <br />3219.7 <br />842.7 <br />50 <br />2363,6 <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 />G49.7 <br />10 <br />3252.7, <br />858.9 <br />20 <br />2302.S <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 />8,69,8 <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 />32516:9 <br />850.8 <br />4B • <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 />632.0 <br />20 <br />3330.3 <br />897.5 <br />30 <br />2461.7 <br />506.4 <br />30 <br />2888.0 <br />68G.7 <br />30 <br />3341.4 <br />903.2 <br />40 <br />2471.5 <br />510.3 <br />40 <br />2808.4 <br />691.4 <br />40 <br />3352.6 <br />908.8 <br />.50 <br />2-181:4 <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 />025.9 <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 />037.3 <br />40 <br />2531.1 <br />534.2 <br />40 <br />2961.5 <br />720.1 <br />40 <br />3420.1 <br />043.1 <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 />4.9 <br />2551.0 <br />542.2 <br />55 <br />2932:7 <br />729:9 <br />6? <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 />3455.4 <br />906.5 <br />30 <br />2581,0 <br />554.5 <br />, 30 <br />3014.5 <br />744.6 <br />3U <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 />2001.1 <br />502.8 <br />50 <br />3035.8 <br />754.6 <br />50 <br />3499.7 <br />934.3 <br />-49 <br />2611.2 <br />566,9 <br />66 <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 />I0 <br />3522:6' <br />-996.2 <br />20 <br />2631.3 <br />575.3 <br />20 <br />3067.9 <br />769.1 <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 />1009.3 <br />40 <br />2651.5 <br />583.8 <br />40 <br />36S9.4 <br />779.3 <br />40 <br />3557.2 <br />1014.4 <br />50 <br />266116 <br />588.0 <br />50 <br />3100.2 <br />784.9 <br />50 <br />3568.7 <br />1020.5 <br />Corrections to he Added (T=Tangent- E=External.) <br />Carve 5° <br />Angle <br />10° 15° 20° 25° <br />30° <br />35° <br />401° 45° <br />50° 55° <br />60° <br />651 70° <br />q0°- T=.13 <br />.25 40 .53 .67 <br />.80 <br />.93 <br />.106 1.20 <br />1.34 1.49 <br />1.64 <br />1.79 1.94 <br />E=.023 <br />.046 .070 .093 .117 <br />.141 <br />.172 <br />.203 .234 <br />.265 .277 <br />290 <br />•.315 .341 <br />45° T =.15 <br />.30.44 .60 .76 <br />.91' <br />1.06 <br />1.21 1.37, <br />1.52 1.70 <br />1.87 <br />2.04' 2.21 <br />E =.U30 <br />.060 .093 .119 .153 <br />.194 <br />.216 <br />.254 .289 <br />.325 .351 <br />.378 <br />.411 .445 <br />50° T=.17 <br />.34 .51 .68 .85 <br />U2 <br />1.19 <br />1.36 1.54 <br />1.72 1.91 <br />2.10 <br />2.20 2.49 <br />E=.037 <br />.075 .116 .151 .189 <br />227 <br />.266 <br />.305 .345 <br />.364 .425 <br />.467 <br />.508 .550 <br />555. T=.19 <br />..38 .57 .76 .95 <br />1.14 <br />1.32 <br />.1.52 1.72 <br />1.92 2.14 <br />2.35 <br />2.5fi 2.77 <br />1.=:046, <br /><.093 .142 .188 .236 <br />.263 <br />.332 <br />3.81 .420 <br />.479 .534 <br />.592 <br />.641 .700 <br />Flo T_.21 , <br />.42 .63 4 1.05 <br />1.27 <br />1.49 <br />1.71 1.94F2.38 <br />1360.1 <br />2.60 <br />2.63 3.07 <br />E-.056 <br />.112 .16825 .283 <br />.340 <br />.398 <br />.457 .51fi <br />.636 <br />.697 <br />.774 .851 <br />T=23 <br />.46 69 1.16 <br />1.93 <br />1.40 <br />1.64 <br />1.96 2.132:7111112:11,11-11 <br />30 <br />4201-.2 <br />3.89 <br />E=.067 <br />.135 .20473 .343 <br />.412 <br />.493 <br />.554 .625 <br />1089.3 <br />84 <br />.922 1.01 <br />T_ Amn L - Tangents and Externals to a 1' Curve. v <br />Chard =100 f t.= <br />Int.Int.-Int. <br />Angle <br />Tangent. <br />External <br />Angle <br />Tangent <br />External <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 />4639.8 <br />1643.0 <br />10' <br />3591.9 <br />1032.8 <br />lo, <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 />4067.4 <br />1660.5 <br />30 <br />3615.1 <br />1045.2 <br />30 <br />4124.8 <br />1330.3 <br />30 <br />14681.3 <br />. 1669.2 <br />40 <br />,3626.8 <br />1051.4 <br />40 <br />4137,4 <br />1337.7 <br />40 <br />4r,,95.2 <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 />1686.9 <br />06- <br />3650.2 <br />1063.9 <br />72 <br />4162.8 <br />1352.6 <br />79 <br />4723.2 <br />1695.8 <br />10 <br />3G61.9 <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 />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 />4770.41. <br />1731.7 <br />50 <br />3709.0 <br />1095.7 <br />50 <br />4226.3 <br />1390.4 <br />50 <br />4793.6 <br />1740.3 <br />06 <br />3720.9 <br />1102.2 <br />73 <br />4239.7 <br />1398.0 <br />- 80 <br />4807.7 <br />1749.9 <br />I0 <br />3732.7 <br />1108.6 <br />10 <br />4252.6 <br />-1405.7 <br />10 <br />4822.0 <br />1759.D <br />20• <br />3744.6 <br />1115.1 <br />20 <br />4265.6 <br />1413.5 <br />?0 <br />4835.2 <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 />14`3.0 <br />46 <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 />3792.4 <br />1141.4 <br />74_ <br />4317.6 <br />1444.6 <br />81 <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 />3810.4 <br />1154.7 <br />20 <br />4343.8 <br />1460.4 <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 />1168.1 <br />40 <br />4370.1 <br />1476.4 <br />.40 <br />4951.5 <br />1843.L <br />50 <br />3852,6 <br />1174.8 <br />50 <br />4383.3 <br />1484.4 <br />50. <br />4966.1 <br />1852.6 <br />68 <br />3864,7 <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 />11SS.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 />150S.6 <br />20 <br />5010.0 <br />1581.5 <br />80 <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 />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 />1558.0 <br />120 <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 />5113.9 <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 />1900.2 <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 />1990.6 <br />20 <br />4036.8 <br />1279.3 <br />20 <br />4584.8 <br />1 G 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 />5201.4 <br />2010.8 <br />40 <br />4061.8 <br />1293.6 <br />40 <br />4612.2 <br />1,625.7 <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 />_ <br />50 <br />1 5234.9 <br />2031.4 <br />Corrections to be Added (T =Tangent. E ^ External.) <br />int. Curve 5° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° 50° <br />55° <br />60" 65° <br />70° <br />Angle <br />' <br />T=.21 <br />.42 <br />.63 <br />.84 <br />1.05 <br />1.27 <br />1.49 <br />171 <br />1.94 2.17 <br />2.38 <br />2.60 2.83 <br />3.07' <br />60° E=,050 <br />.112 <br />.168 <br />225 <br />.283 <br />.340 <br />.398 <br />.457 <br />.516 .675 <br />.636. <br />.607 .774 <br />.851 <br />T=.23 <br />93 <br />1.16 <br />1.40 <br />1.64 <br />1.88 <br />2.13 2.38 <br />2:63 <br />2.68 3.13 <br />3.39 <br />65° R=167 <br />.46 <br />.135 <br />.69 <br />.204 <br />.273 <br />.343 <br />.412 <br />.483 <br />.554 <br />.625 .697 <br />-.711 <br />.845 .922 <br />1.01 <br />T=.25 <br />1.02 <br />1.28 <br />1.54 <br />1.80 <br />2.05 <br />2.33 2.60' <br />2.68 <br />3.16 3:44 <br />3.72 <br />70° E=.080 <br />.51 <br />.I59 <br />.76 <br />'.240 <br />.321 <br />.403 <br />.485 <br />.568 <br />.652 <br />.735 .8I9 <br />.906 <br />.994 1.08 <br />1.17 <br />T=.27 <br />.f5 <br />.83.1.12 <br />1.40 <br />1.69 <br />1.98 <br />2.27 <br />2.57 <br />3.78 <br />4.09 <br />75° E=.095 <br />.182 <br />.285 <br />.383 <br />.480 <br />.576.678,77 <br />.8771.16 <br />1.29 <br />1 39 <br />T=.30 <br />.61 <br />.91 <br />1.22 <br />1.53 <br />1.84 <br />2.15 <br />2.46 <br />2.78 <br />3.78 4.12 <br />4.48 <br />80° E=.110 <br />.220 <br />.332 <br />.445 <br />.558 <br />.671 <br />.787 <br />.903 <br />1.02 <br />t73.3.47 <br />1.38 1.50 <br />1.62 <br />T=.33 <br />All <br />1.04 <br />1.33' <br />1.68 <br />2.02 <br />2.36 <br />2.70 <br />3.05 <br />4.14 4.55 <br />4.80 <br />85° E=.126 <br />.259 <br />.391 <br />.521 <br />.657 <br />.790 <br />.926 <br />1.06 <br />1.20 <br />1.62 1.76 <br />1.91 <br />