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IV TABLE I. - Tangents and Externals to a 1°, Curve. <br />Chord =.160 ft. <br />Int <br />Angle <br />Tangent <br />Extern al <br />Inc. <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />--43° <br />2257.0 <br />428.5 <br />50° <br />" <br />2671.8 <br />592.3 <br />571 <br />3110.9 <br />790.1 <br />101: <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 />65 <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 />" <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 />2363.5 <br />468.4 <br />"50 - <br />2784.2 <br />640.7 <br />50 <br />3230.7 <br />848.1 <br />48 <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 />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 />'40 <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 />875.8 <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 />48. <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 />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 />2451.7 <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 />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 />SS <br />2982.7 <br />729.9' <br />02 - <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 />.40 <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 />50 <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 />TABr m L _ Tangents and Externals to a 111' Curve. <br />Chord =100 ft. . <br />Angle <br />Corrections to be Added (T =Tangent. E=External.) <br />St. , <br />Curve 5° <br />10° 15° 20° 250 30° 35° 40° 45° 50° 550 60° 650 70° <br />Angle <br />Angle <br />Tangent <br />External <br />640 <br />.26 .40 .53 -.67 .80 .93 .106120 1.34 1.49 1.84 1.79 1.94 <br />40o <br />71° <br />.046 •070 .093 .117 .141 .172 .203 .234 .265 277 .290 .315 .341 <br />1308.2 <br />78°- - <br />.44 .60 .76 .91 1.06 1.21 1.37 1.52 1.70 1.87 2.04 2.21 <br />45°80 <br />#E=.046 <br />.060 .093 .119 .153 .184 .218 .254 .289 .325 .351 .375 .411 .44E <br />1032.8 <br />10' <br />51 .88 .85 1.02 1.19 1.38 1.54 1.72 1.91' 2.10 2.29 2.48 <br />50°84 <br />10' <br />.075 .116 .151 •.189 .227 .266 .305 .345 .384 .425 .467 .508 .550 <br />1651.7 <br />20 <br />14 56 ? 77 <br />1.283 1.332 .32 13.81 .52 1.420 .72 1.479 .92 2.530 .14 2.582 .35 ? <br />55° <br />20 <br />093 142 .188 .236 641 700 <br />1322.9 <br />T=.21 <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 />60° <br />E=.058 <br />25 <br />.112 .168 .2 .283 .340 .398 .457 .516 .575 .636 .697 1.774 .851 <br />1045.2 <br />T=-1 <br />.69 .935 2.13 38 2.63 2.88 <br />1243 .16 1.40 <br />1 1 ? 3.922 i 01 <br />fro <br />30 <br />•46 <br />204 273 412 483 554 .625 697 711 845 <br />TABr m L _ Tangents and Externals to a 111' Curve. <br />Chord =100 ft. . <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />640 <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 />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 />1076.8 <br />4188.5 <br />1367.6 <br />20 <br />4751.2 <br />1713.7 <br />30 <br />3685.4 <br />1082.9 <br />1.20 <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 />1731.9 <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 />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 />1463.4 <br />30 <br />4937.0 <br />1833.6 <br />,40' <br />3840.5 <br />.1168.1 <br />40. <br />4376.1 <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 />3913.41208.9 <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 />1920:8 <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 />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 />1990.8 <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 />- <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 <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° 15° 20° 1 25° 30° 35° 40° 1 45° 1 50° 55° 60° 1 65° 1 70° <br />Lngle <br />83 <br />E=.056 .112 :168 .225 1.05 283 1.340 1.398 .49'1.457 .71 1 516 2.575 2 636 38 2.697 .60 ? 774 3.07 85'. <br />659'T=.23 <br />.6 1.16 <br />1 <br />E=.067. .15 .204 273 .343 .41 1 1 2 2 2 2 3 <br />2 83 554 625 .697 .711 845 .922 1.01 <br />710 T=.25 .51 .76 1.02 1.28 1.54 1.80 2.06 2.33 2.60. 2.88 3.16 3.44 3.72 <br />E=.080 .159 .240 .321 .403 .485 .568 .652 .735 .819 .906 .994 1.08 1.17 <br />75° T=.27 .56 .83 1.12 1.40 1.69 1.98 2.27 2.57 2.87 3.16 3.47 3.78 4.09 <br />E--'.095 .182 .286 .383 .480 .578 .678 .777 .877 .977 1.07 1.18 1.29 1.39 <br />80o T=.30 .61' .91 1.22 1.53 1.84 2.15 2.46 2.78 3.10 3.44�41 <br />8 4.12 4.46 <br />E =.110 .220 .332 .445 .558 .671 .787 .903 1.02 1.13 1.258 1.50 1.02 <br />o T=.33 68 1.00 1.33 1.68. 2.02 2.36 2.70 3.05 3.40 3.774 4.55. 4.89E=.128 259 .391 524 .657 .79 .92 1.06 1.20 1.34 1.472 1.76 1.91 <br />