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IV TABLE - I. - Tangents and Externals to a 1° Curve. <br />Chord= 100 ft. <br />Angle . <br />Tangent <br />External <br />Angle . <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />-43° <br />2257.0 <br />428.5 <br />500 <br />2671.8 <br />592.3 <br />570 <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 />231-4.9 <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 />832.0 <br />.30 <br />2344.1 <br />x461.0 <br />30 <br />2763.7 <br />631.730. <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 />52 <br />2794.5 <br />645.2 <br />59 r <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 />1479.6 <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.$ <br />40 <br />.2412.4. <br />487.2 <br />- '40 <br />2835.9 <br />663.4 <br />•40 <br />3285.8 <br />875.2 <br />_*50 <br />42422:3 <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 />2856.7 <br />672.7 <br />60 <br />3308.0 <br />886.4 <br />10 <br />2441.9 <br />498.7 <br />1 -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 />302461.7 <br />3828.4 <br />/506.4- <br />30 <br />2888.0 <br />686.7 <br />30 <br />3341.4 <br />903.2 <br />Z2471.5 <br />3840.5 <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 />i'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 />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 />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 />i '. 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 />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 />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 />2641.4 <br />579.5 <br />30 <br />3078.7 <br />774.7 <br />30 <br />3545.6 <br />1008.3 <br />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 />4 <br />TABLm L -Tangents and Externalstoa.P Curve. - <br />Chord= 100 <br />urve.Chord=100 ft. <br />Angle <br />Corrections to be Added (T = Tangent. E = External.) <br />Int <br />angle <br />Carve 5° <br />10° 15° 20° 25° 30°. 35° 40° 45° 50° 55° X60° <br />_ <br />40° <br />T=.13• <br />.26. .40 .53 ..67 .80 .93 -.106 1.20 1.34 1.49 1.64 <br />External <br />E=.023. <br />.046 .070 .093 .117 .141 .172 .203 .234 .265 .277 .290 <br />45° <br />T=.15' <br />- .30 .44 .60 .76.91 1.08 1.21 1.37 1.52 1.70 1.87 <br />1308.2 <br />E=.030 <br />.060_093 .119 .153 .184 .216 .254 .289 .325 .351 .378 <br />50' <br />T=.17 <br />.34 '.51 ..68 .85 1.02 1.19 1.36 1.54 1.72 1.91 2.10 <br />1032.8 <br />E=.037 <br />.075 .116 .151 .189 .227 .266 .305 ' .345 .384 .425 .467 <br />r,1,)ro <br />T=.19 <br />.38 - .57 .76 .95 1.14 1.32 1.52 1.72 1.92 2.14 2.35 <br />1651.7 <br />E=.048 <br />.093 .142 .188 .236 .283 .332 3:81 .420 .479 .530 .582 <br />60° <br />! T=.21 <br />.42 .63 84 1.05 1.27 1.49 1.71 1.94 2.17 2.38 2.60 <br />1322.9 <br />E=.056 <br />.112 .168 225 .283 .340 .398 .457 .516 .575 .636 .697 <br />65° <br />1 T=.23 <br />.46 69 93 1.16 1.46 1.64 1.88 2.13 2.38 2.63 2.88 <br />1045,2 <br />E=.067 <br />.135 404 .273 343 .412 .483 '.554 .625 .697 .711 .845 <br />4 <br />TABLm L -Tangents and Externalstoa.P Curve. - <br />Chord= 100 <br />urve.Chord=100 ft. <br />Angle <br />Tangent <br />External <br />, Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />84° • <br />3580.3 <br />1026.6 <br />711 <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 />to_ <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 />4667A <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 />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 />E5- <br />3650.2 <br />1063.9. <br />72- <br />4162.8 <br />. 1352.6 <br />794723.2 <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 />1375.2• <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 />204836.2 <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 />48792 <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 />3816.4 <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 />1852.6 <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 />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 />4463.1 <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 />-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 />1950.3 <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 />4544.0 <br />1583.1 <br />50 <br />5143.9 <br />1970.3 <br />40 <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 />1990.5 <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 1 <br />4626.0 1 <br />1634.4 <br />50 <br />5234.9 1 <br />2031.4 <br />' <br />Corrections to be Added (T=Tangent. E=External.) J u <br />70° <br />Int. <br />Curve 5° <br />10° 15° 200 250 30° 35° 40° 45° 50° 55° 60° 65° 70° <br />1.94 <br />Angle <br />- <br />341 <br />�o <br />T=.21 <br />E=.058 <br />.42 .63 .84. 1.05 1.27 1.49 1.71 1.94 2.17 2.38 2.60 2.83 3.07 <br />3.21 <br />.112 .168 .225 .283 .340 .398 .457 .516 .575 .636 .697 .774 .851 <br />, <br />ME <br />65°T=.23 <br />' <br />.46 .69 .93 1.16 1.40 1.64 1.88 2.13 2.38 2.63 2.88 3.13 3.39 <br />)AS <br />E =.087 <br />.135 .204 .273 .343 .412 .483 .554 .625 .697 .711 .845 .922 1.01 <br />.b50 <br />Y0° <br />T=.25 <br />.51 .76 1.02 1.28 1.54 1.80 2.06 2.33 2.60 12.88 3.16 3.44 3.78 <br />77 <br />E=.080 <br />.159 .240 .321 .403 .485 .568 .652 .735 .8191-.906 .994 1.08 1.17 <br />70p <br />75° <br />T=.27 <br />E=.095 <br />.58 .83 1.12 1.40 1.69 1.98 2.27 2.57 2.87 3.16 3.47 3.78 4.09 <br />3 O7 <br />.182 .286 .383 .480 .578 .678 .777 .877 .977 1.07 1.15.1.29 U9 <br />561 <br />80o <br />T=.30 <br />E <br />.61 .91 1.22 1.53 1.84 2.15 2.46 2.78 3.10 -3.44 3.78 4.12 4.48 <br />3 39 <br />=.110 <br />.220 .332 .445 .558 .671 .787 .903 1.02 1.13 1.25 1.38 - 1.b0 1 <br />1.01 <br />..� <br />85o <br />T=.3366 <br />E=.128 <br />1.00 1.33 1.68 202 2 36 2:70 3.05 3.40 3.77 4.14-14.55 4.88 <br />.259 .391 .524 .857 79 4201.06 1.20 1.34 1.47 1.62 + 1.78 1.91 <br />