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IV TAmr, I. =Tangents and -Externals to -a-19 Curve. <br />Chord =100 ft. <br />Int,. <br />'Angle • <br />Taageat <br />Externa] <br />TRT" <br />Angle <br />Tangent <br />External <br />: Angle <br />Tangent <br />External <br />43°2257.0 <br />T=.13 <br />423.5 <br />50° <br />2671.8 <br />592.3 <br />S7° <br />3110:9 <br />790.1 <br />]6' <br />2266.0 <br />432.0 <br />IV <br />26SL 9 <br />596.6 <br />1M <br />.3121:7 <br />795.2 <br />20 <br />2276,2 <br />435.6 <br />.20, <br />2692.1 <br />GOO.9 <br />20. <br />3132:8 <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 />50 <br />2305.5 <br />446:4 <br />50 <br />2722.7 <br />614.0 <br />'50 <br />3165.1. <br />$16.1 <br />44' <br />2314.9 <br />450.0 <br />61 - <br />2732,9 <br />G1S.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 />2353.6 <br />464.G <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 />818.1 <br />46 <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 />120 <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 />830.8 <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 />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 />2885.0 <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 />3352.5 <br />5108-8 <br />50 <br />2481.4 <br />514':3 <br />50 <br />290S.9 <br />696,1 <br />- <br />50 <br />33G3.8 <br />914.5 <br />47- <br />2491.3 <br />518.2 <br />54 <br />2919.4 <br />700.0 <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 />_ <br />20 <br />339715 <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 />9G0.6 <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 />751.0 <br />50 <br />3499.7 <br />984.3 <br />49" <br />,2611.2 <br />560.9 <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 />760.7 <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. ' F,'= External.) <br />Int. <br />Angle4U' <br />Curve 51 <br />10°• <br />15° 20° 25° <br />30° 35° 40° <br />45° <br />50° 55° 60° <br />65° <br />70° <br />G4' <br />T=.13 <br />.26 <br />1 .40 .53 .57.80 <br />.93 .106 <br />1.20 <br />1.34 1.49 1.64 <br />1.79 <br />1.94 <br />10'' <br />E =.023 <br />.046 <br />.070 .093 .117 <br />.141 .172 .203 <br />.234 <br />.265 .277 290 <br />.315 <br />.341 <br />45° <br />T=.15. <br />.30 <br />.44' .60 ..76 <br />.91 1.00 121 <br />1.37 <br />1.52 1.70 1.87 <br />2.04 <br />2.21 <br />30 <br />E =.030 <br />.050 <br />.093 .119 ,153 <br />.184 .216 :354 <br />.289 <br />.325 .351 .378 <br />.411 <br />.445 <br />50° <br />T=.17 <br />.34 <br />.51 AS- .85 <br />1.02 1.19 1.36 <br />1.54 <br />1.72 1.91 2.10 <br />2.29 <br />2.48 <br />50 <br />E =.0437 <br />.075 <br />.116 .151 -.180 <br />.227 .266 .305 <br />.345 <br />.334, ,425 ,457 <br />.508 <br />.550 <br />65 <br />T=.19 <br />:38 <br />.57 ..76 :.95 ' <br />1:14 1M 1.52 <br />1.72 <br />1.92 2.14 2.35 <br />2.56 <br />2.77 <br />10 <br />F=.040 <br />.093 <br />.142 .188 .230 <br />.283 .332 3.81 <br />.420 <br />.479 .530 .582 <br />.641 <br />.700 <br />bpo <br />T =.21 <br />:42 . <br />.63 84 1.05 <br />1.27 1.49 1.71 <br />1.94 <br />2.17 2.38 2.60 <br />2.83 <br />3.07 <br />30 <br />E =.050 <br />.112 <br />ASS .225 -.283 <br />.340 .398 .457 <br />.516 <br />.575 .638 .697 <br />.774 <br />.851 <br />659' <br />T=,23 <br />.46 <br />69 -.93 1.15 <br />1.40 1.64 1.88 <br />'2,13 <br />2.38 12.63 12.83 <br />3.13 <br />3-39 <br />50 <br />E =.067 <br />.1351 <br />.204 .273 343 <br />.412 .483 .554 <br />.025 <br />.897 .7111 845 <br />.922 <br />1.01 <br />TABT,E 1. ,Tangents and Externals to a 1' Curve. <br />Chord =100 ft. " <br />V <br />Int. <br />Angle <br />Tangent <br />Exteen2.l <br />- Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />G4' <br />3580:3 <br />1020.6 <br />71° <br />40SG.9 <br />1308.2 <br />781- <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 />1601.7 <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 />412.1.3 <br />1330.3 <br />30 <br />4:681.3 <br />1669.2 <br />40 <br />3626.8 <br />1051.4 <br />40 <br />4137.4 <br />1337.7 <br />40 <br />4495.2 <br />1578.1 <br />50 <br />'3638:5" <br />1057.7 <br />50 <br />4130.1 <br />1345.1 <br />50 + <br />4709.2 <br />3656.9 <br />65 <br />3650.2 <br />1063.9 <br />73 <br />4.1G2.8' <br />1352.6 <br />79 <br />4723.2 <br />1695.8 <br />10 <br />-3661:9 <br />1.070.2 <br />10 <br />4175.6_ <br />1360.1 <br />10 <br />4737.2 <br />1704.7 <br />20 <br />3673.7 <br />107fi.G <br />20 <br />4188.5 <br />1367.6 <br />20 <br />4751.2 <br />1713.7 <br />30 <br />'3635.4 <br />1082.9 <br />30 <br />4201.2 <br />137 ,2 <br />30 <br />4765.3 <br />1733.7 <br />40 <br />3697.2 <br />1OS9.3 <br />40 <br />4214.0 <br />1382.9 <br />40 <br />4779.4 <br />1731.7 <br />50 <br />.3709:0 <br />1095.7 <br />50 <br />4226.5 <br />1390.4 <br />50 <br />•4793.G <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 />1103.6 <br />10 <br />4252.6 <br />1405.7 <br />10 <br />4822.0 <br />1759.0 <br />20 <br />3744.G <br />1115.1 <br />20 <br />4265.6 <br />1.13.5 <br />20 <br />4836.2 <br />1768.2 <br />30 <br />37513.5 <br />11.21.7 <br />30 <br />4275.5 <br />1421.2 <br />20 <br />4S50.5 <br />1777.4 <br />40 <br />3708.51128:2 <br />1.53 <br />40 <br />4201.5 <br />1429.0 <br />40 <br />=4364.8 <br />1786.7 <br />50 <br />37080.4 <br />1.134.8 <br />5O <br />4303.6 <br />1436.8 <br />S0' <br />4870.2 <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 />3804,74 <br />11'58.0 <br />10 <br />4330-7 <br />1452.5 <br />10 <br />4903.0 <br />1814.7 <br />20 <br />•3816.4 <br />1154.7 <br />20 <br />4343.8 <br />1400.4 <br />20 <br />4922.5 <br />1824.1 " <br />30 <br />3828,4 <br />1101.3 <br />30 <br />4356.9 <br />1463.4 <br />30 <br />4937.0 <br />1833.0 " <br />40 <br />3640.5 <br />1168.1 <br />40. <br />4370.1 <br />1470.4 <br />,40 <br />49:;1.5 <br />'1843.1 <br />50 <br />3352,6 <br />1174.8 <br />50 <br />4383.3 <br />1484.4 <br />50 <br />4955.1 <br />1852.6' <br />as <br />3864:7 <br />"1151.6 <br />75 <br />439G.5 <br />1192.4 <br />32 <br />4920.7 <br />,1562:2 <br />10 <br />-3876.S <br />118S.4 <br />10 <br />4409.8 <br />1500.5 <br />10 <br />4995.4 <br />1871.3 <br />20 <br />3889.0 <br />1195.2 <br />20 <br />4423.1 <br />1503.6 <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 />G8 <br />3937.9 <br />1222.7 <br />76 <br />4476.5 <br />1.541.4 <br />83 <br />5009.2 <br />1920:5 <br />10 <br />3950.2 <br />1229.7 <br />10 <br />4489.9 <br />1549.7 <br />10 <br />5034,0 <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 />194.0.3 <br />30 <br />3974.8 <br />-1243.7 <br />30 <br />4510.9 <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 />15S'3.1 <br />,50 <br />5143.9 <br />1970.3 <br />TO <br />4011.9 <br />12G5.0 <br />77 <br />4557.6 <br />1591.G <br />84 <br />5159.0 <br />'1980.4 <br />10 <br />4024.4' <br />1.272,1 <br />10 <br />4571'.2 <br />1600.1 <br />•10 <br />51774.1 <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 />304049.3 <br />1256-5 <br />30 <br />469S.,i <br />1617.1 <br />30 <br />5204.4 <br />`2010.8 <br />40 <br />4061,8 <br />1293.(; <br />40 <br />4612.2 <br />1525.7 <br />40 <br />5219.7 <br />2021.1 <br />' 50 <br />-4074:4 <br />1300.9 <br />5U <br />4626.0 <br />1634.4 <br />50 <br />5234.9 <br />2U31.4 <br />1 Corrections to be Added (T=Tangent. E=External.) <br />,":Curve'S° <br />LO° <br />15° <br />20° <br />2a° <br />30° <br />35° <br />40° <br />45' <br />50° <br />55° <br />60° <br />65° <br />70° <br />T=:21 <br />1.05 <br />1.27 <br />1.40 <br />1.71 <br />1.94 <br />2.17 <br />2.33 <br />2.60 <br />2.83 <br />3.07 <br />E=.056 <br />.42 <br />.112 <br />.53r.225 <br />.168 <br />.283 <br />.340 <br />.328 <br />.457 <br />.516 <br />.575 <br />.636 <br />.697 <br />-774 <br />,851 <br />65° <br />1.343 <br />1.483 .54 <br />1.554 .88 <br />2.625 13 <br />2.697 <br />?711 63 <br />2845 <br />3.922 <br />E .067 <br />.135 <br />.204 <br />412 <br />1.01 <br />70° <br />T=.25 <br />.51 <br />.76 <br />1.28 <br />1.54 <br />1.80 <br />2.06 <br />2.33 <br />2.60 <br />2.88 <br />3.16 <br />3.44 <br />3.72 <br />E =.080 <br />.159 <br />.240 <br />.403 <br />.485 <br />.568 <br />.652 <br />.735 <br />.819 <br />.906 <br />.994 <br />1.08 <br />1.17 <br />T=.27 <br />1.40 <br />1.69 <br />1.98 <br />2.27 <br />3.57 <br />2.Si <br />3.16 <br />3.47 <br />3.78 <br />4.09E <br />75° <br />=.095 <br />.5fi <br />.182 <br />.63 <br />.286 <br />ASO <br />.578 <br />.078 <br />.777 <br />.877 <br />.977 <br />1.07 <br />1.18 <br />1.29 <br />1.39 <br />�° <br />T =.30 <br />.61 <br />.91 <br />1.22- <br />1.53 <br />1.R4 <br />2.15 <br />2,45 <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 />- .9- <br />1.Q2 <br />1.13 <br />1.25 <br />1.38 <br />1.50 <br />11.62 <br />�o <br />T=.33 <br />.60T70-0- <br />1.33 <br />1.G8 <br />2.02 <br />2.36 <br />2,70 <br />3.05 <br />3.403.77 <br />14.14 <br />4.55 14A <br />E =.128 <br />259 <br />.391 <br />'.524 <br />.G57 <br />.700 <br />.92(11j <br />fig <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />1 1.76 J1.91 <br />y <br />