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IV TA13LE I. - Tangents and. Externals to a 1' Curve. <br />Chord =100 ft. <br />Int. <br />AngleAngle <br />Tangent <br />External <br />Int. <br />Tangent External <br />S <br />Int. <br />Angle <br />Tan gent <br />J <br />External <br />43° <br />2257.0 <br />428.5 <br />50° <br />2671.8 <br />592.3 <br />57° <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 />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 i <br />20 <br />3197.8 <br />832.0 <br />30 <br />2344.1 <br />461.0 . <br />30 <br />2763.7 <br />631.7 1 <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 />2363.5 <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 />53% <br />2794.5' <br />645:2 <br />b9' <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 />875.3 <br />50 <br />2422.3 <br />491.0 <br />50 <br />2346.3 <br />668.0 <br />s_50: <br />3296.9 <br />880.8 <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 />2441.0 <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 />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 />1881.5 <br />2521.1 <br />530.1 ' <br />•30 <br />2951.0 <br />715.3 <br />30 <br />3408.8 <br />937.3 <br />•',30 <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 />729.9 <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 />502.8 <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 />2621.2 <br />571.1 <br />10 <br />3057.2 <br />7G4.6 <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 />r ,_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 />, <br />TASLE� I. - Tangents and Externals to a 1° Curve. ;V <br />Chord =100 f t.' <br />Int. <br />Angle <br />Corrections to:be Added'(T=Tangent. . E=External.) <br />Ingle <br />kfi40° <br />Curve 5° <br />10° '15° 20° 25° '30° -35° 40° 45° '50° 55° 60P 65° '70° <br />External <br />T=13 <br />.26 .40 .53 :67 .80 .93 ..1061:20 1.34 1.49 1.64 1.79 1.94 <br />'.290 <br />External <br />E =.023• <br />.016 .070 .093 '.117 :141 .172 .203 234 .265 .277 .315 .341 <br />45°' <br />T=:15 <br />.30 .44 .60 .76 ..91 1.06 'TTF 1.37 1.52 1.70 1.87 2.04 2.21 <br />1308.2 <br />E=.030 <br />:060 .093 .119 :153 ..184 .216 .254 .289 .325 .351 .378 .411 .445 <br />50°1 <br />'IT=.17 <br />.34.51 .68 .85 1.02 1.19 1.36 1.54 1.72 1.91 2.10 2.29 2.48 <br />1032.8 <br />E=.037 <br />.075 .116 .151 .189 .227..266 .305 .345 .384 .425 .467 .508 .550 <br />55° <br />T=.10 <br />.38 :57 '.76 ..95 1.14 1.32 1.52 1.72 L92 2.14 2.35 2.56 2.77 <br />•1651.7 <br />E=.046 <br />'.093 .142 .138 .236 .283 .332 3.81 .420 .479 .530 .582 .641 .700 <br />60° <br />T=.21 <br />38 2.60 2.83 3.07 <br />•42 .63 84 1.05 1.27 1.49 1.71 1.94 2.17 2:3613612 <br />1322.9 <br />E=.056 <br />.112 .168 .225 �83 .340 .398 .457 .516 .575 .636 .697 .774 .851 <br />65° <br />T=.23 <br />.46 ..69 93 1.18 1.40 1.64 1.88 2.13 2.38 2:63 2.88 3.13 3.39 <br />1045.2 <br />E =.067 <br />.135 .204 273 .343 .412 .483 .554 .625 '.697 .711 .845 .922 1.01 <br />, <br />TASLE� I. - Tangents and Externals to a 1° Curve. ;V <br />Chord =100 f t.' <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 />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 />10' <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 />4681.3 <br />1669.2 <br />40 <br />3626.8 <br />1051.4 <br />c _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 />1686.9 <br />65 <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 />3661.9 <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 />1375.230 <br />85° T=.33 66 <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 />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 />3316.4 <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 />'1843.1 <br />50 <br />3852.6 <br />1174.8 <br />50 <br />4383.3 <br />1484.4 <br />50 <br />4966.1 <br />1852.0 <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 />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 />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 />4463.7 <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 />3950.8 <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 />i 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 />5113.9 <br />3950.3 <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 />4514.0 <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 />402.4.4 <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 />4584.8 <br />1608.6 <br />20 <br />5189.3 <br />2000.G <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 />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 />Int. Curve 5° 10° <br />15° <br />20° <br />25° 1 30° <br />35° <br />40° 45° <br />1 50° <br />55° 60° 65° 70° <br />_Angle <br />60, T=.21 .42 <br />.63 <br />.84 <br />1.05 1.27 <br />1.49 <br />1.94 <br />2.17 <br />2.38 2.80 2.83 3.07 <br />.E=.056 .112 <br />.168 <br />.225 <br />.283 .340 <br />.398 <br />.516 <br />.575 <br />.636 .697 ,774 .851 <br />65° T=.23 .48 <br />69 <br />93 <br />1.16 1.40 <br />1.64 <br />2.13 <br />2.38 <br />2.63 2.88 3.13 3.39 <br />E =.067 .135 <br />.204 <br />.273 <br />.343 .412 <br />.483 <br />.625 <br />.697 <br />.711 .845 .922 1.01. <br />70° T=.25 .51 <br />76 <br />1.02 <br />1.28 1.54 <br />1.80 <br />2.33 <br />L2.2 <br />2.60 <br />2.88 3.16 3.44 3.72 <br />E=.080 .159 <br />.240 <br />.321 <br />.403 .485 <br />.568 <br />.735 <br />.819 <br />.906 .994 1.08 1.17 <br />756 T =.27 .66 <br />.83 <br />1.12 <br />1.40 1.69 <br />1.98 <br />2.57 <br />2.87 <br />3.16 3.47 3.78 4.09 <br />E =.095 .182 <br />.286 <br />.383 <br />.480 .578 <br />.678 <br />.877 <br />.977 <br />1.07 11.18 1.29 11.39 <br />80° T=.30 61 <br />91 <br />1.22 <br />1.53 1.84 <br />2.15 <br />2.46 2.78 <br />3.10 <br />3.44 3.78 4.12 4.46 <br />E=.110 .220 <br />.332 <br />.445 <br />.558 .671 <br />.787 <br />.903 1.02 <br />1.13 <br />1.25 1.38 1.50 1.62 <br />85° T=.33 66 <br />1.00 <br />1.33 <br />1.68 2.02 <br />2.36 <br />2.70 3.05 <br />3.40 <br />3.77 4.14 4.55 4.89 <br />E=.128 259 <br />.391 <br />.524 <br />.657 .790 <br />.920 <br />1.06 1.20 <br />1.34 <br />1.47 1.62 1.78 1.91 <br />