Laserfiche WebLink
i <br />I <br />MI, <br />,Iv 'TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord= 100 ft. <br />Int <br />'Angle <br />Tangent <br />g <br />External <br />Ins. <br />Angle <br />Tangent <br />g <br />External <br />Int' <br />Angle <br />Tan ent <br />g <br />External <br />43° <br />2257.0 <br />428:5 <br />501 <br />2671.8 <br />592.3• <br />571 <br />3110.9 <br />'190.1 <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 />G00:9 <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 />S16.1 <br />44 <br />2314.9 <br />450.0-51 <br />.332 3.81 .420 <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 />820.7 <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 />--e01 <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 />2525.6 <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 />G63.4. <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 />46 <br />2432.1 <br />494.8 <br />53 <br />2856.7 <br />G72.7 <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 />2461.7 <br />506.4 <br />30 <br />2888.0 <br />W.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 />008.8 <br />.50 <br />2481:4 <br />514.3 <br />50 <br />2908.9 <br />69G.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 />.2051.0 <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 />538.21 <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 />' 562.8 <br />50 <br />3035.8 <br />754.6 <br />50 <br />3499.7 <br />934.3 <br />49 <br />2611.2 <br />566.9 <br />56 <br />304G.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 />096.2 <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 />. <br />30 <br />2641.4 <br />679.5 <br />30 <br />3078.7 <br />774.7 <br />30 <br />3545.61 <br />1005.3 <br />40 <br />'26151.5 <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 />"S.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 />Int. <br />Angle <br />c.�,a 5° <br />- <br />100 15° 206 25° 30° <br />35° 40° 45° <br />'50° <br />55° <br />60° <br />65° <br />70° <br />40° <br />T=.13 <br />.26 ..40 .53 .67 ..80 <br />.93 .106 1.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />10' <br />R=.023 <br />.040 .070 .093 ..117 .141 <br />.172 .203 .234 <br />.265 <br />.277 <br />290 <br />.315 <br />.341 <br />45° <br />T=15 <br />.30 .44 .60 .76 .91 <br />1.00 1.21 1.37 <br />1. 52 <br />1.70 <br />1.87 <br />y <br />2.21 <br />30 <br />E=.030 <br />.060 .093 .119 .153 .184 <br />.216 .254 .289 <br />.325 <br />.351 <br />.378 <br />.411 <br />.445 <br />50° <br />T=.17 <br />E =.037 <br />.34 .51 68 .85 1.02 <br />.075 .116 .151 .189 .227 <br />1.19 1.36 1.54 <br />.266 .305 .345 <br />1.72 <br />.381 <br />1.91 <br />.425 <br />2.10 <br />.467 <br />2.29 <br />.508 <br />2.48 <br />.559 <br />55° <br />T=.10 <br />.38 .57 .76 .95 1.14 <br />1.32 1.52 1.72 <br />1.92 <br />2.14 <br />2.35 <br />2.56 <br />2.77 <br />.55:1 <br />E•=.040 <br />.188 .236 .283 <br />.332 3.81 .420 <br />.479 <br />.530 <br />.582 <br />.641 <br />1695.8 <br />10 <br />T=.21 <br />.093 .142 <br />.42 .83 84 1.05 1.27 <br />1.49 1.71 1.9.1 <br />2.17 <br />2.38 <br />2.G0 <br />2.83 <br />3.07 <br />60° <br />F.=•056 <br />.225 .283 .340 <br />MS .457 .516 <br />.575 <br />.630 <br />.697 <br />.774 <br />•8°1 <br />65° <br />T=.23 <br />.112 ,108 <br />.46 69 03 1,16 1.40 <br />1.64 1.88 2.13 <br />2.38 <br />2.63 <br />2.88 <br />3.13 <br />J22 <br />339 <br />1,01 <br />40 <br />E=,067 <br />.135 .204 .273 .343 Al2 <br />.483 .554 .G25 <br />.697 <br />.711 <br />.845 <br />4779.4 <br />1731.7 <br />TABrx I. = Tangents. and Externals to a P Curva <br />Chord =100 ft. <br />Int' <br />Angle <br />Tangent <br />- <br />Extemal <br />Int' <br />Angle <br />Tangent <br />g <br />External <br />Int <br />Angle <br />Tangent <br />g <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 />,a <br />4124.3 <br />1330.3 <br />30 <br />4681.3 <br />1669.26 <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 />.55:1 <br />W50.2 <br />1063.9• <br />72 <br />4163.5 <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 />47512 <br />1713.7 <br />'80 <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 />1352.8 <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 />1399..0 <br />80 <br />4807.7 <br />1749.9. <br />.10 <br />3732.7 <br />1108.6 <br />10 <br />4252.0 <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 />80 <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 />60 <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 />3702.4 <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 />148I.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 />4400.8 <br />15001.5 <br />10 <br />4995.4 <br />1871.8 <br />20 <br />3859.0 <br />1195.2 <br />20 <br />4423.1 <br />1505.6 <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 />15241.9 <br />40, <br />5039.5' <br />1900.9 <br />50 <br />392 5. 6 <br />1215.8 <br />50 <br />4463.1 <br />15331..1 <br />50 <br />5054.3 <br />1910.7 <br />69 <br />3937.9 <br />1222.7 <br />76 <br />4476.5 <br />15471.4 <br />'83 <br />5069.2 <br />1920.5 <br />SO <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 />80 <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 />60 <br />3999.5, <br />1257.9 <br />50 <br />4514.0 <br />1583.1 <br />50 <br />5143.9 <br />1970,3 <br />704011.9 <br />1265.0 <br />77 <br />4557.6 <br />1591. G. <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 />110 <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 />1017.1 <br />30 <br />5201.4 <br />2010.8 <br />40 <br />4061.8' <br />1293.6 <br />40 <br />4612.2 <br />NZ5.7 <br />40 <br />5219.7 <br />2021.1 <br />50 <br />4074.4 <br />1300.9 <br />50 <br />4626.0 <br />1635:.4 <br />50 <br />5234.9 <br />2031.4 <br />Corrections to be Added (T =Tangent. E =External.) <br />Int. <br />Angle <br />Carve 5° <br />10° 15° <br />20° <br />25° <br />30° <br />35° <br />40°' <br />43° <br />50° <br />55° <br />1 60° <br />65° <br />1 70° <br />80° <br />-T=.21 <br />.42 .63 <br />.84 <br />1.05 <br />1.27 <br />1.49 <br />1.711 <br />1.94 <br />2.17 <br />2.38 <br />2.60 <br />2.83 <br />3.07 <br />E=.056 <br />.112 .168 <br />.225 <br />.283 <br />.340 <br />.398 <br />AV <br />.516 <br />.575 <br />.630 <br />.697 <br />,774 <br />.851 <br />65° <br />T=.23 <br />.46 .69 <br />.93 <br />1.16 <br />1,40 <br />1.64 <br />1.86 <br />2.13 <br />2.38 <br />2.63 <br />2.83 <br />3.13 <br />3.39 <br />E=.067 <br />.135 .204 <br />.273 <br />.343 <br />.412 <br />.483 <br />.55:1 <br />.625 <br />.607 <br />.711 <br />.845 <br />.922 <br />1.01 <br />70° <br />-7= 2-5 <br />.51 .76 <br />1.02 <br />1.28 <br />UT <br />1.80 <br />2.04 <br />2.33 <br />2.60 <br />2.88 <br />3.18 <br />3.44 <br />3.72 <br />E=.080 <br />.159 .240 <br />.321 <br />.403 <br />.485 <br />.563 <br />.6:12 <br />.735 <br />.810 <br />AN <br />.994 <br />1.08 <br />1.17 <br />751 <br />T=.27 <br />.56 .83 <br />1,12 <br />1.40 <br />1.69 <br />1.98 <br />2.2'1 <br />2.57 <br />2.87 <br />3.16 <br />3.47 <br />3.78 <br />4.09 <br />E=.095 <br />.182 .286 <br />.383 <br />.480 <br />.578 <br />.573 <br />.717 <br />.877 <br />,977 <br />1.07_ <br />1.18 <br />1.29 <br />1.39 <br />60° <br />T=.30 <br />61 .91 <br />1,22 <br />1.53 <br />1.84 <br />2.15 <br />2.45 <br />2.78 <br />3.10 <br />3.44 <br />3.78 <br />4.12 <br />4.48 <br />E=.110 <br />.220 .332 <br />,445 <br />.558 <br />.671 <br />.787 <br />.003 <br />1.02 <br />1.13 <br />1.25 <br />1.38 <br />1,50 <br />1.62 <br />Sp <br />T=.33 <br />.66 1.00 <br />1.33 <br />1.68 <br />2.02 <br />2.30 <br />2.7.0 <br />3.05 <br />3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />E=.128 <br />.259 .391 <br />,524 <br />.657 <br />.190 <br />.928 <br />1,60 <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />11.76 <br />11.91 <br />