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TV TABLE I. Talgents and Externals to a 1° Curve. <br />Chord =100' ft. <br />Angle <br />Tangent <br />External <br />Angie <br />.Tangent <br />External <br />Angle <br />TangentEaternul <br />40° <br />43° <br />;257.0 <br />428.5: <br />500 <br />2571.8 <br />592:3 <br />57° <br />311049 <br />790.1 <br />10' <br />2260.6 <br />432.01 <br />10, <br />2681.9 <br />596.0 <br />10' <br />3121.7 <br />705.2 <br />.20 , <br />2276.2' <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 />130. <br />2702.3 <br />:005.3', <br />30 <br />3143.4 <br />805.6 <br />'40 <br />-2295.6' <br />'442.8, <br />40'.-:2712.5 <br />.60 <br />009.61 <br />- ._40 <br />3154.2 <br />810.9 <br />.50 <br />12305.2' <br />,446.4' <br />:50 <br />2722:7 <br />614,0 <br />50 <br />3165.1 <br />510.1 <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 />32G3.7 <br />864.3 <br />30 <br />2402.6 <br />453.4 <br />30 <br />2825.8 <br />X658.8 <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 />880.9 <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 />2SSS.0 <br />686.7 <br />30 <br />3341.4. <br />903.2 <br />40 <br />2471.5 <br />51013 <br />40 <br />2898,4 <br />691.4 <br />_. 40. <br />3352.G <br />908.8 <br />50 <br />2481.4 <br />514,3 <br />50 <br />2908,9 <br />696.1 <br />50 <br />3303.8 <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 />2541.01 <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 />.142.2 <br />55:- <br />29S2.7 <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 />2003:9 <br />739.7 <br />20 <br />3465.4 <br />966.5 <br />30 <br />2581.0' <br />554.5 <br />30 <br />2014.5 <br />744.6 <br />30 <br />3476.8 <br />972.4 <br />40 <br />2591.0 <br />558.6 <br />40 <br />2025.2 <br />749.6 <br />40 <br />'3488.3 <br />978.3 <br />,50 <br />2G61.1 <br />562.9 <br />50 <br />3035.8 <br />754.6 <br />50 <br />3499.7 <br />984.3 <br />49 <br />2611.2 <br />506:9 <br />50.. <br />30.16::5 <br />759:6 <br />63 <br />3511.1 <br />990.2 <br />10 <br />•2021.2 <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 />2.003.3 <br />40 <br />2651.5 <br />583.8 <br />40 <br />3089.4 <br />779.5 <br />40 <br />3557.2 <br />1014.4 <br />50 <br />2661.6 <br />588.0 <br />50 <br />3100.2 <br />-734.9 <br />50 <br />3568.7 <br />1.020.5 <br />Correction's to be Added (T =Tangent. E -External.)-' <br />AH- 111 <br />Curve 5° <br />101. <br />15°' <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />'SS° <br />60° 1 <br />65° <br />70° <br />40° <br />T=.13 <br />:20 <br />.40 ,,.53 <br />3591'.9 <br />G7 <br />.80 <br />.93 <br />.106 <br />1:20 <br />1.34 . <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />20 <br />F..=.023 <br />.010 <br />.C76 <br />.093 <br />.117 <br />.141 <br />.172 <br />.203 <br />.234 <br />.265 <br />.277 <br />'.200 <br />.315 <br />.341 <br />46° <br />T=.15 <br />.30 <br />.44 <br />.60 <br />.76 <br />.91 <br />1.06 ,1.21 <br />1678.1 <br />1.37. <br />1.52 <br />1.70 <br />1,.87" <br />2.04 <br />2.21 <br />50 <br />E--.030 <br />.050 <br />.093 <br />.119 <br />.153 <br />.184 <br />216 <br />.254 <br />.289 <br />.325 <br />.351 <br />.378 <br />All <br />.445 <br />50° <br />T=17 <br />.34 <br />.51 <br />.68 <br />.85 <br />1.02 <br />1.39 <br />1.36 <br />1.64 <br />1.72 . <br />M 1 <br />2.10 <br />2.20 <br />2.48 <br />30 <br />E=.037 <br />.075 <br />.116 <br />:I51 <br />.189 <br />.227 <br />.266 <br />.305 <br />.345 <br />.384 <br />.425 <br />..467 <br />.508 <br />.550 <br />55° <br />T=.19 <br />.38 <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 />73" <br />E=.646 <br />.093 <br />.142 <br />:188 <br />.236 <br />.283 <br />.332 <br />3.81 <br />.420 <br />.479 <br />.530 <br />.592 <br />.641 <br />.700 <br />60° <br />T=•21 <br />.42 <br />.63 <br />B4 <br />1.05 <br />1.27 <br />1.49 <br />1.71 <br />1.94 <br />2.17 <br />12.33 <br />2.60 <br />2.83 <br />3-07 <br />30 <br />.E=.056 <br />.112 <br />.108 <br />.225 <br />.28 <br />.340 <br />.398 <br />.457 <br />.516 <br />.575 <br />.635 <br />.697 <br />.774 <br />.�� <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 />2.88 <br />3.13 <br />3.39 <br />10' <br />E=.067, <br />.185 <br />.204 <br />273 <br />343 <br />.412 <br />.483 <br />.554 <br />.625 <br />.697 <br />.711 <br />.845 <br />.9V11,01 <br />1460.4 <br />TABLE I. -_ Tangents and Externals to a l° Curve. V <br />- Chord ' 100 ft. <br />Int. <br />: Angle <br />Tangent <br />Eaterbal <br />Int. <br />: Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />8 <br />> tergal <br />at, <br />3580.3 <br />1026.6 <br />71° <br />4086.9 <br />1308.2 <br />78° <br />4039.8 <br />1643.0 <br />;10' <br />3591'.9 <br />1032.8 <br />10' <br />4099.5 <br />1315.6 <br />10' <br />4053.6 <br />1651.7 <br />20 <br />3603.5 <br />1039.0 <br />20 <br />4112.1 <br />1322,9 <br />20 <br />-4007.4 <br />'1060.5 <br />30 <br />3615.1 <br />1045.2 <br />30 <br />4124.8 <br />1330.3 <br />30 <br />4681.3 <br />10,9 .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 />1315.1 <br />50 <br />4709.2 <br />168G,9 <br />65 - <br />3650.2 <br />1063.9 <br />72 <br />4102.8 <br />1352.6 <br />79 <br />4723.2 <br />1695.8 <br />10 <br />3661.9 <br />1070.2 <br />10 <br />4175,G <br />1360.1 <br />10 <br />4737.2 <br />1704.7 <br />20 <br />3673.7 <br />1070.G <br />20 <br />4188.5 <br />1357.G <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 />10S9.3 <br />'40 <br />4214.0 <br />1392.8 <br />40 <br />4779.4 <br />1731.7 <br />60 <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 />1393.0 <br />80 <br />4807.7 <br />1749.9 <br />10 <br />3732.7 <br />1108.6 <br />10 <br />4252.G <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 />14M. 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 />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 />673792.4 <br />1_33 <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 />1524.1 <br />30 <br />3828.4 <br />1161.3 <br />30 <br />4356,8 <br />1468.4 <br />4937.0 <br />1833.6 <br />40 <br />3840.5 <br />1168.1 <br />40 <br />4370.1,, <br />1476,4 <br />.30 <br />40 <br />4951.5 <br />1843.1 <br />•.50 <br />3852,6 <br />1174.8 <br />60 <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 />4950.7 <br />1862.2 <br />YO <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 />15508.6 <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 />6024.8 <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 />505-1.3 <br />1910.7 <br />09 <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 />1220.7 <br />10 <br />4459.0 <br />1549.7 <br />10 <br />5084.0 <br />1930.4 <br />20 <br />3962.5 <br />1236.7 <br />20 <br />4.503.4 <br />1558.0 <br />20 <br />5099.0 <br />1940.3 <br />30 <br />3974.8 <br />1243.7 <br />30 <br />4518.9 <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 />1257,0 <br />50 <br />4.544.0 <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 />1691.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 />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 />L684.4 <br />50 <br />523.1.9, <br />2031.4 " <br />Corrections to be Added (T = Tangent. E = External.) <br />Curve S. <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° 1 <br />45° 1 50° <br />55° <br />60° <br />65° <br />700 <br />Angle <br />60' <br />T=.21 <br />42 <br />.43 <br />.84 <br />1.05 <br />1.27 <br />.71 <br />1.94 2.17 <br />2.38 <br />2.60 <br />2.83 .3,07 <br />E=.056 <br />.112 <br />.168 <br />.225 <br />.283 <br />.340457 <br />.,ilfi .575 <br />.636 <br />:697 <br />.774' <br />.851 <br />65° <br />T=.23 <br />.46 <br />.69 <br />.93 <br />1.16 <br />1.40 <br />88 <br />2.13 2.38 <br />2.63 <br />2.88 <br />3.I3 <br />3:39 <br />E=.067 <br />.185 <br />.204 <br />.273 <br />.3.13 <br />.412554 <br />.625 .G97 <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 />06 <br />2.33 2.60 <br />2.88 <br />3.16 <br />3.44 <br />3.72 <br />E-.080 <br />359 <br />.240 <br />.321 <br />.403 <br />.485.652 <br />+2.16122.4 <br />.735 .819 <br />.906 <br />�J91 <br />1.08 <br />1.17 <br />75- <br />T=.27 <br />.66 <br />.83 <br />1,12 <br />1.40 <br />1.60 <br />.27 <br />2.57 2.87 <br />3.16 <br />3.47 <br />3.78 <br />4.09 <br />E=.095 <br />.182 <br />.280 <br />.383 <br />.480 <br />.678.777 <br />.677 .077 <br />1.07 <br />1.18 <br />1.29 <br />1.39 <br />s9° <br />T=.30 <br />.61 <br />.91 <br />1.22 <br />1.53 <br />1.84 <br />A 6 <br />2.78 3.10 <br />3.44 <br />3.78 <br />4.12, <br />4.4G <br />E=.110 <br />.220 <br />.332 <br />.445 <br />.558 <br />.671.903 <br />1.02 1.13 <br />1.25 <br />1.39 <br />1.50 <br />1.62 <br />Sao <br />T=.83 <br />.60 <br />1.00 <br />1_33 <br />1.68 <br />2.02 <br />2.36 <br />2.70 <br />3.05 3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />E =.128 ' <br />.259 <br />.391 <br />.524 <br />.657 <br />,700 <br />.926 <br />1.06 <br />11.20 1.34 <br />1.47 <br />1.62 <br />1.76. <br />11.91 <br />