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IV TAB E I. - Tangents and Externals to a 1° Curve. <br />Chord=100 ft. <br />�I <br />ale . <br />Tangent <br />External, <br />Angle <br />Tangent <br />External <br />Anngle <br />Tangent <br />External <br />48°. <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 />150 <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 />; 832.0 <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 />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 />,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 />12835.9 <br />'663.4' <br />';40 <br />'3285.8 <br />875.2 <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 />12867.1 <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 />b0 <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 />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 />30.25.2 <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 />984.8 <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 />TABLE L - Tangents and Externals to a 1° Curve.: <br />Chord =100 ft. <br />.Angle <br />Corrections to be Added (T =Tangent. E = External.)- <br />Ini <br />Angle <br />-mauve 5° <br />10° 15° 20° 25° 30° 35° 40° 45° :500 55° 60', 650 70° <br />40° <br />T=.13 i ..26 .40 .53 .67 .80 .93 .106 1.20 1.34 . 1.49 1.64 1.79 1.94 <br />Tangent <br />E=.023 <br />.046 .070 .093 .117 .141 .172 .203 .234 .265 .277 .290 .315 .341 <br />o <br />45 <br />T=.15 <br />.30 .44 .60 .76 .91 1.06 1.21 1.37' 1.52 1.70 1.87 2.04 2.21 <br />4086.9 <br />E=.030 <br />..060 .093 .119 .153 •.184 .216 :254 .289 .325 .351 .378 .411 A <br />50° <br />T=.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 />-.189 <br />3591.9 <br />E=.037 <br />.075 .116 .151 .227 .266 .305 .345 .384 .425 '.467 .508 .550 <br />55o <br />T=.19 <br />.38 .57 .76 .95 1.14 11.32 1.52 1.72 1.92 2.14 2.35 2.58 2.77 <br />. <br />4653.6 <br />E=.046' <br />.093 .142 .188 .236-. 283 .332 3.81 .420 .479 .530 .582 .641 .700 <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 2.83 3.07 <br />4112.1 <br />E=.056 <br />.112 .168 .225 'A83 .340 .398 .457 .516 .575 .636 .697 .774 .851 <br />65o <br />T=.23 <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 />'. <br />3615.1 <br />E=.087 <br />.135 .204 .273 .343 Al2 .554 .625 .697 .711 .845 .922 1.01 <br />TABLE L - Tangents and Externals to a 1° Curve.: <br />Chord =100 ft. <br />.Angle <br />Tangent <br />External <br />Ang1e <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 />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 />1076.6 <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 />80 <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 />-'16 <br />42526 <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 />1 <br />1436.8 <br />.50 <br />4879.2 <br />1796.0 <br />67' -'. <br />.3792.4 <br />1141:4 <br />74 - <br />14317.6 <br />11444.6 <br />81 <br />4893.6 <br />1805.3 <br />10' <br />3804.47 <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 />1 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 />3864.71181.6_ <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 />-140. <br />:.3913:4' <br />1208.9 <br />AO <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 />4489.91549.7 <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 />5174.1 <br />1990.5 <br />20 <br />4036.8 <br />1279.3 <br />20 <br />4584.8 <br />1608.6 <br />.10 <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' 1 <br />4074.4 <br />1300:9 <br />50 <br />4626.0- <br />'1634.4 1 <br />50 1 <br />5234:9 1 <br />2031.4 <br />Corrections to be Added (T =Tangent. E = External.) <br />Int. <br />Curve 5° <br />10° 15° 20° 25° 30° 35° 40° 45° 50° 55° 60° <br />Ingle <br />600T=.21 <br />42 .63 .84 1.05 1.27 1.49 1.71 1.94 2.17 2.38 2.60 <br />E=.056 <br />.112 .168 .225 .283 .340 .398 .457 .516 .575 :638 .697 <br />650 <br />1.16 1 1 88 198 <br />'.135 1.554 2.625 .13 2.697 .38 2.711 ? <br />E=.067 <br />.204 .273 .343 412 83 845 <br />70° <br />T=.25 <br />.51 .76 1.02 1.28 1.54 1.80 2.06 2.33 2.60 2.88 3.16 <br />E=.080 <br />.159 .240 .321 .403 .485 .568 .652 .735 .819 .906 .994 <br />75° " <br />T=.27 <br />.56 ..83 1.12 1.40 1.69 1.98 2.27 2.57 2.87 3.16 3.47 <br />E=.095 <br />.182 .286 .383 .480 .578 .678 .777 .877 .977 1.07 1.18 <br />800 <br />T=.30 <br />.61 .91 1.22 1.53 1.84 2.15 2.46 2.78 3.10 3.44 3.78 <br />E=.110 <br />.220 .332 .445 .558 .671 .787 .903 1.02 1.13 11.25 1.38 <br />85* <br />T=.33" <br />60 1.00 1.33 1.68. 2.02 2.36 2.70 3.05 13.40 3.77 14.14 <br />E=.128 <br />.259 .391 .524 .657 „790.92 1.06 1.20 11.34 1:47 11.62 <br />70° <br />