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17 TABLE I. -' Tangents and Externals to a' P Curve. <br />Ch6rd=100 ft. - <br />Int. ••. <br />9ngle <br />Tan ent <br />g <br />External <br />Inde <br />Angle <br />Tangent <br />g <br />External <br />Int <br />Angle <br />Tangent <br />External <br />(43'•- <br />'2257:0 <br />425:5 <br />50°• ' <br />2671.8 <br />592.3 <br />5'7° <br />3110.9 <br />760.1 <br />10', <br />8266.6 <br />-432.0 <br />- 101 <br />2681.9 <br />`596,6 <br />10' <br />3121,7 <br />. <br />795.2 <br />20 <br />227G.2 <br />435.6 <br />"" 20 <br />2692.1 <br />000.9 <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 />-442.5 <br />._40 <br />2712.5 <br />609.6 <br />40 <br />3154.2 <br />810.9 <br />502305.2 <br />.2015 <br />446.4 <br />50 <br />2722.7 <br />614.0 <br />50 <br />3165.1 <br />816.1 <br />¢¢.- <br />2314.9 <br />450.0 <br />61 <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 />82G.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 />3203.8 <br />837.3 <br />40 <br />2353.8 <br />464.6 <br />40' <br />2773.0 <br />636.2 <br />40 <br />3219.7 <br />&12,7 <br />50 <br />2363.5 <br />468.4 <br />50 <br />2784.2 <br />G40.7 <br />50 <br />3230.7 <br />845.1 <br />db ` <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 />558.9 <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 />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 />10 <br />2867.1 <br />677.3 <br />'10 <br />3319.1 <br />592.0 <br />20 <br />2451.8 <br />502.5 <br />20 <br />2577.5 <br />682.0 <br />20 <br />3330.3 <br />897.5 <br />30 <br />2461.7 <br />506.4 <br />30 <br />2588.0 <br />686.7 <br />30 <br />3341.4 <br />903.2 <br />40 <br />2471.5 <br />510.3 <br />'40 <br />2598.4 <br />691.4 <br />: 40 <br />3352.6 <br />1908.8 <br />50 <br />2431.4 <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 />513'.2 <br />54 <br />2419.4 <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 />_'.20 <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 />535.2 <br />50 <br />2972.1 <br />725.0 <br />50 <br />3431.4 <br />948.9 <br />'48 <br />2551.0 <br />.512.2 <br />55 <br />2982.7 <br />729.9 <br />62- <br />3442.7 <br />054.8 <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 />973.3 <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 />.120 <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 />3075.7 <br />774.7 <br />30 <br />3545.6 <br />1008.3 <br />40 <br />2651'.5 <br />583.8 <br />.'40 <br />3059.4 <br />779.8 <br />40 <br />3557.2 <br />1014.4 <br />50 <br />2G61.6 <br />588:0 <br />-'50 <br />3100.2 1 <br />784.9 <br />50 <br />3568.7 <br />1020.5 <br />Corrections to be -Added (T=Tangent. E=External.) <br />Ang.e <br />curve 5° <br />1D°• <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70°. <br />.78° , <br />,4G39:8 <br />1043.0 <br />10'''.3591.9. <br />1032.8 <br />10' <br />4099.5 <br />1315.6 <br />10' <br />4653.6 <br />1651.7 <br />20•'.3603.5 <br />60° T=.21 <br />1039.0 <br />40° <br />T-.13 <br />.26.40 <br />20 <br />.53 <br />.67 <br />.80 <br />.93 <br />.106 <br />1.20 <br />1.34 <br />1.40 <br />1.64' <br />1.79 <br />1.04 <br />40 <br />E -.0231 <br />.046 <br />.C70 <br />.093 <br />.117 <br />.141 <br />.172 <br />.203 <br />.234 <br />.2015 <br />.277 <br />89C <br />.315 <br />.341 <br />450 <br />T-•15 <br />.30 <br />.44 <br />.60 <br />.76 <br />.91 <br />1.06 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 <br />2.04 <br />2.21 <br />10 <br />E x.030 <br />:060 <br />.093 <br />.119 <br />.153 <br />.184 <br />.216 <br />254 <br />.289 <br />.325 <br />.351 <br />.378 <br />.411 <br />.445 <br />SO° <br />T-•17 <br />.34 <br />.51 <br />.68 <br />.85 <br />1.02 <br />1.19 <br />1.36 <br />1.•14 <br />1.72 <br />1.91 <br />2.10 <br />2.20 <br />2.48 <br />40 <br />E =.037 <br />.075 <br />.110 <br />:151 <br />.159 <br />.227 <br />.268 <br />.305 <br />.345 <br />.3S4 <br />.425 <br />.467 <br />.503 <br />.550 <br />55° <br />T-.19- <br />-.33 <br />.57 <br />.76 <br />.95 <br />1.14 <br />1.32 <br />1.52 <br />1.72 <br />1.92 <br />2.14 <br />2.35 <br />2.56 <br />2.77 <br />20 <br />F-.046 <br />093 <br />.142 <br />.188 <br />.236 <br />.283 <br />.332 <br />3.81 <br />.420 <br />.479 <br />,530 <br />.582 <br />.611 <br />.700 <br />60° <br />T-.21 <br />.42 <br />.63 <br />S4 <br />1.05 <br />1.27 <br />1.40 <br />1.71 <br />1.91 <br />2.17 <br />2.38 <br />2.60 <br />2.83 <br />3.07 <br />50 <br />E=.056 <br />.112 <br />.168 <br />.225 <br />.283 <br />.340 <br />.398 <br />.457 <br />.516 <br />.575 <br />.530 <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 />2.33 <br />2.63 <br />2.63 <br />3.13 <br />3.39 <br />20 <br />Ex.067 <br />.135 <br />.204 <br />-73 <br />.343 <br />.412 <br />AP .554 <br />.625 <br />.697 <br />.711 <br />.845 <br />.9229 <br />1.01 <br />TABLn L - TangenU3 and Externals to a l° Curve. V <br />Chord =100 ft. <br />Int' <br />Angle • <br />Tangent <br />External <br />Int' <br />Angle <br />Tangent <br />Extemal <br />In <br />Angle <br />Tangent <br />g <br />External <br />64° <br />3580.3 <br />1026.6 <br />71° <br />4056.9 <br />1308.2 <br />.78° , <br />,4G39:8 <br />1043.0 <br />10'''.3591.9. <br />1032.8 <br />10' <br />4099.5 <br />1315.6 <br />10' <br />4653.6 <br />1651.7 <br />20•'.3603.5 <br />60° T=.21 <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 />4121.8 <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 />•08 . <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 />41SS.5 <br />1367.6 <br />20 <br />4751.2 <br />1713.7 <br />so <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 />421.1.0 <br />13S2.8 <br />40 <br />4779.4 <br />1731.7 <br />50 <br />3709.0 <br />1095.7 <br />50 <br />422G.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 />1393.0 <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 />4922.0 <br />1759.0 <br />20 <br />;3744.6 <br />1115.1 <br />20 <br />4265.6 <br />1413.5 <br />20 <br />4336.2 <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 />•1S64.8 <br />1786.7 <br />50 <br />3780.4 <br />1134.8 <br />50 <br />4304.0 <br />1436.8 <br />50 <br />4579.2 <br />1796.0 <br />67 <br />3792.4 <br />1141.4 <br />74 <br />4317.6 <br />1444.6 <br />81 <br />4593.6 <br />1805.3 <br />10 <br />3804.4 <br />1148.0 <br />10 <br />4330.7 <br />1452.5 <br />-10 <br />4905.0 <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 />80 <br />3528.4 <br />1101.3 <br />30 <br />4356.9 <br />1468.4 <br />30 <br />4937.0 <br />1833.6 <br />40 <br />3540,5 <br />1168.1 <br />'40 <br />4370.1 <br />1476.4 <br />A0 <br />4051.5 <br />1843.1 <br />50 <br />3852,6 <br />1174.8 <br />50 <br />4353.3 <br />1434.4 <br />50 <br />.4906.1 <br />1852.6 <br />68 <br />.3864.7 <br />1181.6 <br />75 <br />4396.5 <br />1492.4 <br />82 <br />4950.7 <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 />50`.'.4.8 <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 />447G.5 <br />1541.4 <br />83 - <br />5069.2 <br />1920.5 <br />10 <br />3950.2 <br />1229.7 <br />10 <br />4459.9 <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 />4514.0 <br />1553.1 <br />50 <br />5143.9 <br />1970.3 <br />70 <br />4011.9 <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 />6 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 />1256.5 <br />30 <br />4598.5 <br />1617.1 <br />.30 <br />5204.4 <br />2010.8 <br />40 <br />4061:8 <br />1293.E <br />40' <br />4612.2 <br />16^_5.7 <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 />Curve 51 <br />10° <br />IS- <br />20° <br />25° <br />1 30° <br />35° 1 <br />40° <br />'45° <br />50° <br />55° <br />1 60° <br />65° <br />70° <br />Angle <br />60° T=.21 <br />.42 <br />.63 <br />.84 <br />1.05' <br />1.27 <br />1.40 <br />1.71 <br />1.94 <br />2.17 <br />2.38 <br />2.60 <br />2.53 <br />3.07 <br />E=.056 <br />.112 <br />.168 <br />.225 <br />.283 <br />.310 <br />.398 <br />.457 <br />.516 <br />.575 <br />.636 <br />.697 <br />,774 <br />.851 <br />65° <br />1.343 IG <br />1.412 <br />1.64 <br />1.384 <br />2.025 <br />? <br />2.711 <br />2 <br />.13 <br />3.922 <br />3.339 <br />E =.067 <br />.135 <br />.201 <br />.273 <br />1.483 <br />697 <br />845 <br />1.01 <br />70° T=.25 <br />.51 <br />.76 <br />1.02 <br />1.28 <br />1.54 <br />1.80 <br />2.06 <br />2.33 <br />2.60 <br />2.58 <br />3.16 <br />3.44 <br />3.72 <br />E =.080 <br />.159 <br />.240 <br />.321 <br />.403 <br />.485 <br />.568 <br />.552 <br />.735 <br />.819 <br />.90G <br />.994 <br />1.08 <br />1.17 <br />75° T=.27 <br />.5G <br />.S3 <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=.095 <br />.182 <br />�36 <br />.353 <br />.480 <br />.578 <br />.673 <br />.777 <br />.877 <br />.977 <br />1.07 <br />1.18 <br />1.29 <br />1.39 <br />80° T=.30 <br />.61 <br />.91 <br />1 -2 <br />1.53 <br />1.84 <br />2.15 <br />2.46 <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 />LB <br />125 <br />1.38 <br />1.50 <br />1.82 <br />85° T=.33 <br />.66 <br />1.00 <br />1.33 <br />t.63 <br />2.02 <br />2.36 <br />2.70 <br />3.05 <br />3.-10 <br />3.77 <br />4.14 <br />4.55 <br />9.80 <br />E=.128 <br />.259 <br />.391 <br />.524 <br />.657 <br />.790 <br />926 <br />1.06 <br />1.20 <br />1.34 <br />L47 <br />1.82 <br />1.76 <br />1.91 <br />.A <br />