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WIWIM <br />SIR <br />IV TABLE I. - Tangents and Externals to a 1°.Curve. <br />Chord=' 100 ft. <br />X10 <br />Tangent <br />External <br />Aingle <br />Tangent <br />External <br />Among a <br />Tangent <br />External <br />43° <br />2257.0 <br />428.5 <br />50° <br />2671.8 <br />592.3 <br />571 <br />3110.9 <br />790.1 <br />10' <br />2266.6 <br />432.0 <br />10' <br />2681.9 <br />.596.6 <br />101 <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 />2334.8 <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 />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 />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 />80 <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 />031.6 <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 />58 <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 />26 <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 />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 />Corrections to be Added (T =Tangent. E = External.) <br />fil <br />fiilll <br />1 <br />IDt <br />Curve 5° <br />100 15° 20° 1 25° <br />30° 35° 40° 45° 50° 55° 601 650 70° <br />Angle <br />External <br />Ang a <br />Tangent <br />External <br />64° <br />117 <br />1 1.64 <br />1315 1.94 <br />i41 1,265 1.49 <br />400 <br />E=.023 <br />.046 .070 , 93 <br />.172 203 234 90 <br />4639.8 <br />1643.0 <br />76 <br />.21 1.289 .37 .52 .70 1 .87 ?:411 2.2 <br />.91 12616 <br />45° <br />E=.030 <br />.060. 093 .119 .153 <br />.184 1.254 1325 1.351 378 44E <br />10' <br />T=.17. <br />'.34 68 .85 <br />1.02 1.19 1.36 1.54 1.72 1.91 2.10 2.29 2.48 <br />Seo <br />E =.037 <br />.51' <br />.075 .116 .151 .189 <br />.227 .266 .305 .345 .384 .425 .467 .508 .550 <br />_ <br />20 <br />4667.4 <br />2.77 <br />1 1 2.14, 2.35 2 <br />55'. <br />E .048 <br />.93 142 188L.53 <br />332 13 S1 1.420 479 530 .582 .641 79 <br />4124.8 <br />1330.3 <br />30 <br />1 83 83 3 <br />1.457 1 2.575 2636 .38 2697 .60 ? <br />60° <br />E=,056 <br />112 .168 .22507 <br />398 518 774 <br />9516sroT=.23 <br />40 <br />'4137.4 <br />.46 69 93 <br />1.64 1.88 2.13 2.38 2.63 2.88 3.13 3.39E=.067 <br />4695.2 <br />1678.1 <br />.135 204 .273 <br />.483 .554 .825 ,697 ,.711 .845 .922 1.01 <br />4 <br />TABLE L Tangents and Externals to a 1' Curve. <br />Chord= 100 ft. <br />Angle <br />Tangent <br />.External <br />.Angle' <br />Tangent <br />External <br />Ang a <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 />-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 />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 />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 />70- <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 />60 <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 />1990.5 <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 <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. <br />Curve 5° <br />10° <br />15° <br />20° <br />1 256 <br />j 30° <br />35° <br />1 40° <br />1 45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />Angle <br />660 <br />T=.21 <br />.42 <br />.63.84 <br />1.05' <br />127 <br />1.49 <br />1.71 <br />1.94 <br />2.17 <br />2.38 <br />2.60 <br />2.83 <br />3.07 <br />- <br />E =.058 <br />.112 <br />.168 <br />.225 <br />..283 <br />.340 <br />.398 <br />.457 <br />.516 <br />.575 <br />.638 <br />.697 <br />,774 <br />.851 <br />65°, <br />T=•23 <br />.46 <br />.69 <br />.93 <br />1.16 <br />1.40 <br />1.64 <br />1.88 <br />2.13 <br />2.38 <br />2.63 <br />2.85 <br />3.13 <br />3.39 <br />E=.067 <br />.1;5 <br />.204 <br />.273 <br />'.343 <br />.412 <br />.483 <br />.554 <br />.625 <br />.697 <br />.711 <br />.845 <br />.922 <br />1.01 <br />70' <br />T=:25 <br />.51 <br />.76 <br />1:02 <br />1.28 <br />1.54 <br />1.80 <br />2.08 <br />2.33 <br />2.60 <br />2.88 <br />3.16 <br />3.44 3.72 <br />E =.080 <br />.159 <br />.240 <br />.321 <br />.403 <br />.485 <br />.568 <br />.652 <br />.735 <br />.819 <br />1% <br />'.994 <br />1.08 <br />1.17 <br />75° <br />T=.27 <br />.56 <br />.83 <br />1.12 <br />1.40 <br />1.69 <br />1.98 <br />2.27 <br />2.57 <br />2.87 <br />3.16 <br />3.47 <br />3.78 <br />4.09 <br />E=.95 <br />.182 <br />.286 <br />.383 <br />.480 <br />.578 <br />.678 <br />.777 <br />.877 <br />.977 <br />1.07 <br />1.18 <br />1.29 <br />139 <br />80o <br />T=.30 <br />.61 <br />.91 <br />1.22 <br />1.53 <br />1.84 <br />2.15 <br />2.48 <br />2.78 <br />3.10 <br />3.44 <br />3.78 <br />4.12 <br />4.46. <br />E=.110 <br />.220 <br />.332 <br />.445 <br />.558 <br />.671 <br />.787 <br />.903 <br />1.02 <br />1.13 <br />1.25 <br />1.38 <br />1.50 <br />1.62 <br />T=.33 <br />.66 <br />1.00 <br />11.33 <br />1.68 <br />12.02 <br />2.36 <br />2.70 <br />3.05 <br />3.40 <br />3.77 14.14 <br />14.55 <br />4.89 <br />E=:128 <br />.259 391 <br />.524 .857 <br />,� <br />.92 <br />1.08' 1.20 <br />1.34 <br />1.117 <br />1.62 <br />1.76 <br />1.91 <br />