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N' TABLE -I.'-- Tangents an' d'Externals to a 16 Curve. <br />Chord- 100 ft. _ <br />2ingle <br />Tangent <br />External <br />Angle ' <br />Tangent <br />Ex6ernal <br />Int. <br />Angle + <br />Tangent <br />F,xternal <br />43°' <br />2257.0 <br />428.5 <br />50° <br />2671:5 <br />592.3 <br />57°" <br />3110.9 <br />790.1 <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 />2G92.1 <br />600.9 <br />20 <br />3132.6. <br />800.4 <br />30 <br />22R5.9 <br />'2295.6 <br />439.2 <br />30 <br />2702.3 <br />605.3 <br />30 <br />3143.4 <br />S05.6 <br />40 <br />T=.15.30 <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 />44.0.4 <br />50 <br />2722.7 <br />614.0• <br />50 <br />3165.1 <br />515.1 <br />44 <br />2314'.9 <br />450.0 <br />; 51 <br />2732.9 <br />018.4' <br />58 '• <br />3176.0. <br />821.4 <br />10 <br />2324.6 <br />453.6 <br />10. <br />2743.1 <br />022,8 <br />10- <br />3186.9 <br />826.7 <br />20 <br />2334.3 <br />457.3 <br />1 20' <br />2753.4 <br />627.2 <br />- 20 <br />3197,8 <br />882,0 <br />30 <br />2344.1 <br />461,0 <br />! 30 <br />• 2763.7 <br />G31,7 <br />30 <br />3208.8 <br />837.3 <br />.AD <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 />27S4.2 <br />640.7 <br />50 <br />3230.7 <br />84S.1 <br />4B <br />2373:3 <br />472.1 <br />52 <br />2794.5 <br />645.2 <br />59 ; <br />c-' <br />3241.7 <br />853.5 <br />4.10 <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 />i 20' <br />3263.7 <br />89-. <br />30 <br />2402.6 <br />433.4 <br />30 <br />: 2825.0 <br />658.8' <br />30 <br />3274-3 <br />869.8 <br />40 <br />2412.4 <br />487.2 <br />40 <br />2835.9 <br />063.4 <br />40 <br />3295.8 <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 />i 53 <br />2856:7 <br />672.7'I <br />00 <br />3303.0 <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 />245 L S <br />502.a <br />20 <br />287.7.5 <br />682.0 <br />20 <br />3330.3 <br />897.5 <br />30 <br />2461.7 <br />.506.4 <br />30 <br />288S.0 <br />686.7 <br />30 <br />3341.4 <br />903.2 <br />40 <br />2471.5 <br />510.3 <br />40 <br />2698.4 <br />691.4 <br />➢ - 40 <br />3353.6 <br />908.8 <br />50 <br />2481-.4 <br />514.3 <br />50' <br />2905.9 <br />696.1 <br />s 50 <br />3363.S <br />'914.5 <br />47 <br />2491.3 <br />518.2 <br />`. 54 <br />2919.4 <br />7.00.9 <br />61 <br />3375.0 <br />920.2 <br />10 <br />2.501.2 <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 />29.10.4 <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 />342D.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 />2952.7 <br />729.9 <br />62 <br />3442.7 <br />954.8 <br />10 <br />25%1:0 <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 />1550.4 <br />20 <br />3003.9 <br />739.7 <br />1 20 <br />3465.4 <br />996.5 <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 />302.3.2 <br />749.6 <br />40 <br />3483.3 <br />979.3 <br />50 <br />260 1. 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 />50 <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 />734.9 <br />.50 <br />3568,7 <br />1020.5 <br />Corrections to be Added (T=Tangent. E=External.) `. <br />htAngle <br />CuneS° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° 1 <br />65° <br />70° <br />40° <br />T=.13 <br />.26 <br />.40 <br />.53 <br />.67 <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 />4112:1 <br />E=.023 <br />.046 <br />.070 <br />.093 <br />.117 <br />.141 <br />.172 <br />.203 <br />.234 <br />'.265 <br />.277 <br />.290 <br />.315 <br />.341 <br />45° <br />T=.15.30 <br />-..44 <br />4137.4 <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 />'4709.2 <br />E=.030 <br />.060 <br />.093 <br />.119 <br />.153 <br />.134 <br />.216 <br />•254 <br />.259 <br />.325 <br />.351 <br />-.378 <br />.411 <br />.445 <br />5o° <br />T=.17 <br />.34 <br />.51 <br />'.68 <br />.85. <br />1.02 <br />Lig <br />L36 <br />1.54 <br />1.72. <br />1.91 <br />2.10 <br />2.29 <br />2.48 <br />3685.4 <br />F =07 <br />.075 <br />.116 <br />.151 <br />.189 <br />.227 <br />.266 <br />.305 <br />.345 <br />.384 <br />.425 <br />.467 <br />.508 <br />.650 <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 />4239.7 <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 />.541 <br />.700 <br />64" <br />T=.21 <br />.42 <br />63 <br />.84 <br />1.05 <br />1.27 <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 />4850.5 <br />E=.050 <br />.112 <br />.168 <br />,225 <br />.283 <br />.340 <br />-.398 <br />.457 <br />.516 <br />.575 <br />.636 <br />.697 <br />.774 <br />.851 <br />65° <br />T -.23 <br />.46 <br />69 <br />03 <br />1,16 <br />1.40 <br />1.64 <br />1.88 <br />1 3 <br />2.33 <br />2.63 <br />2.88 <br />3.13 <br />3.39 <br />. <br />E =.067 <br />135 <br />204 <br />.273 .343 .412 <br />.483 <br />.554 <br />.625 <br />.697 <br />.711 <br />.845 <br />.922 <br />1.01 <br />TABLE I_. - - Tangents and Externals: to a 1° Curves <br />Chord'=100 ft_ - <br />Int. <br />Angle , <br />Tangent <br />Ext <br />Int <br />-Angle <br />Tangent <br />External' <br />Ent. <br />Angle <br />Tangent <br />External <br />1G43..0 <br />-G4° <br />3580.3 <br />1026.6 <br />71° <br />4086.9 <br />1308:2 <br />:73' <br />4G39.8 <br />10' <br />3591.9 <br />1032:8 <br />10' <br />4099.5 <br />1315.6 <br />10' <br />1651.7 <br />20 <br />13603.5 <br />1039.0 <br />20 <br />4112:1 <br />1322.9 <br />20 <br />_'4653.6 <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 />1636.9 <br />65 <br />3650.2 <br />1063.9 <br />72 <br />4162.8' <br />1332,0' <br />79 <br />.4723.2 <br />1695.8 <br />10 <br />3661.9 <br />107Q.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.E <br />20 <br />4751'.2 <br />1713.7 <br />30 <br />3685.4 <br />1082.9 <br />30 <br />4201.2 <br />1375.21 <br />36 <br />'4765:3 <br />1722.7 <br />40 <br />3697.2 <br />1089.3 <br />40 <br />4214.0 <br />1382.& <br />40 <br />4779.4 <br />1731.7 <br />50 <br />_ <br />3709.0 <br />1095'.7 <br />50 <br />4226.8 <br />1390.9. <br />50 <br />4793.6 <br />1740.8 <br />lw_.y3. <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.G <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 />1413.5 <br />20 <br />4836.2 <br />17GS.2 <br />30 <br />3756.5 <br />1121.7 <br />30 <br />4278.5 <br />142 L.2 <br />30 <br />4850.5 <br />1777.4 <br />1786.7 ! <br />40 <br />50 <br />3768.5 <br />3780.4 <br />1128.2 <br />1134.8 <br />40 <br />50 <br />4291.5 <br />4304.6 <br />1429.0 <br />1436.8; <br />40 <br />50 <br />4864.8 <br />'4879.2 <br />1796.0 <br />].GS <br />2.02 2.36. <br />2.70 9.05 <br />3.40 <br />3.77 <br />4,14 <br />4.55 <br />4.89 <br />85° <br />E =.128 <br />.66 <br />.259 <br />.391 <br />.524 <br />.f,57 <br />.790 .926 <br />1.OG 1.20 <br />1.34 <br />1.47 <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 />LO <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 />435G.9 <br />1468.4 <br />_ 30 <br />4937.0 <br />1833.0 <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 />08 <br />3864.7 <br />1181.6 <br />75 <br />4396.5 <br />1492.4 <br />82 <br />4980.7 <br />1662.21 <br />10 <br />3876.8 <br />1188.4 <br />10 <br />4409.8 <br />1800.5 <br />10 <br />4995.4 <br />1871.8 U <br />20 <br />3889.0 <br />1195.2 <br />20 <br />4423.1 <br />1508.6 <br />20 <br />5010.0 <br />1881.546 1�6 <br />30 <br />3901.2 <br />1202.0 <br />30 <br />4436.4 <br />1516.71 <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 />153.1 <br />50 <br />5054.3 <br />1910.7 <br />69 <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 />1229.7 <br />10 <br />4489.9 <br />1549."1 <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.'8 <br />30 <br />5113.9 <br />1.950.3 = 9 a ZV <br />'40 <br />3987.2 <br />1250.8 <br />40 <br />4530.4 <br />1574.1 <br />40 <br />5128.9 <br />19GO.2 _ <br />50 <br />3999.5 <br />1257.9 <br />50 <br />4514.0 <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 7 <br />20 <br />4030.8 <br />1279.3 <br />20 <br />4554.8 <br />(1605.6 <br />20 <br />5189.3 <br />2000.6 <br />30 <br />4049.3 <br />7256.5 <br />30 <br />4598.:' <br />1017.1 <br />30 <br />5204.4. <br />2010.8 <br />40 <br />4061.8 <br />3293.6 <br />40 <br />4GI2.2 <br />1625.7 <br />40 <br />5219.7 <br />2021.1 <br />50 <br />4074.4 <br />1300.9 <br />50 <br />4G26.0 <br />1634.4 <br />50 <br />5234.0 <br />2031.4 <br />Correctior-s to be Added (T =Tangen , E =External.) <br />X - <br />kAA't <br />Curve 5° <br />10° <br />15° <br />20° <br />25° <br />30° 35° <br />40° 45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />Angle <br />1.283 <br />1.340 1.398 .49 <br />1.457 .71 1.516 94 <br />2.575 .17 <br />2 .38 <br />2'834 <br />07 <br />3.851 <br />60° 1 <br />E =.05fi <br />112 <br />.168 <br />.225 <br />636 <br />697 <br />T=.23 <br />.46 <br />69 <br />93 <br />11fi <br />1.40 1.64 <br />1.88 :x.13 <br />238 <br />2.63 <br />2.88 <br />3.13 <br />3.39 <br />65° <br />E=.067 <br />.135 <br />.204 <br />.273 <br />.343 <br />.412 .483 <br />.554, .625 <br />.697 <br />.711 <br />.845 <br />.922 <br />1.01 <br />T =.25 <br />.51 <br />.70 <br />1.02 <br />1.28 <br />1,54 1.80 <br />2.06 '� °3 <br />W.735 <br />2.60 <br />2.88 <br />3.16 <br />3.44 <br />3.72 <br />7U° <br />E=.080 <br />159 <br />230 <br />.32I <br />.403 <br />.485 .568 <br />.0521 <br />.819 <br />.906 <br />.994 <br />1.08 <br />1.17 <br />T=.27 <br />.56 <br />.83 <br />1.12 <br />1.40 <br />1.69 1.98 <br />2.27 8.57 <br />2.87 <br />3.16 <br />3.47 <br />3.78 <br />4.09 <br />7a° <br />E =.095 <br />.182 <br />.280 <br />.383 <br />.480 <br />.578 .678 <br />.7771 877 <br />.977 <br />1.07 <br />1,18 <br />1.29 <br />1.39 <br />T=-20 <br />1.22 <br />1.588 <br />1.071 2.787 <br />Y <br />0.10 <br />.0 <br />4AG <br />80° - <br />= 110 , <br />,220 <br />.332 <br />.445 <br />9113 1.02 <br />1.13 <br />1. 25 <br />3.38 <br />1.50 <br />1 62 <br />T=.33 <br />1.00 <br />1.33 <br />].GS <br />2.02 2.36. <br />2.70 9.05 <br />3.40 <br />3.77 <br />4,14 <br />4.55 <br />4.89 <br />85° <br />E =.128 <br />.66 <br />.259 <br />.391 <br />.524 <br />.f,57 <br />.790 .926 <br />1.OG 1.20 <br />1.34 <br />1.47 <br />1.62 <br />1.76 <br />1.91 <br />