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IV TABL9 1. - Tangents and Externals to a V Curve. <br />Chord= 100 It. <br />Angle <br />Tangent <br />External <br />Angle . <br />Tangent External <br />Angle <br />Tangent <br />External <br />48° <br />2257.0 <br />428.5 <br />50° <br />2671.8- <br />592.3 <br />57° <br />3(10.9 <br />790.1 <br />10' <br />22G6.6 <br />-432.0 <br />10' <br />26819 <br />596,6 <br />10' <br />3t2t.7 <br />795.2 <br />20 <br />2276.2 <br />435.6 <br />20 <br />2692.1 <br />600.9 <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 />. <br />,50 <br />'3165.1 <br />815.1 <br />.060 <br />.093 <br />.119 <br />.153 <br />.184 <br />.216 <br />l <br />.289 <br />.325 <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 />2703.7 <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 />4b <br />2373.3 <br />472.1 <br />52 <br />2794.5 <br />045.2 <br />69 <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 />858.0 <br />20 <br />2392.8 <br />470.6. <br />20' <br />2315.2 <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 />6438.18 <br />50 <br />3296.9 <br />880.8 <br />40 <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 />244 t.9 <br />498.7 <br />10 <br />2567.1 <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 />680.7 <br />30 <br />3341.4 <br />903.2 <br />40 <br />247t.5 <br />510.3 <br />40! <br />2898.4 <br />691.4 <br />40 <br />3352.6 <br />903.8 <br />50 <br />2481,4 <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 />518.2 <br />54 <br />2919.4 <br />700.9 <br />Al <br />3375.0 <br />020.2 <br />10 <br />2301.2 <br />522.2 <br />10 <br />2929.9 <br />705.7 <br />10 <br />3386.3 <br />025.9 <br />20 <br />2311.2 <br />526.1 <br />20 <br />2940.4 <br />710.5 <br />20 <br />3397.5 <br />",031.6 <br />30 <br />2521.1 <br />530.1 <br />130 <br />2951.0 <br />715.3 <br />30 <br />3408.8 <br />037.3 <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 />943.9 <br />40 <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 />'0 <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 />2G01.1 <br />562.8 <br />50 <br />3035,8 <br />754.6 <br />50 <br />3499.7 <br />984.3 <br />49 <br />2011.2 <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 />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 />784.9 <br />50 <br />356S.7 <br />1020.5 <br />Corrections to be Added (T =Tangent. E = External.) <br />Int <br />Anyl6 <br />Corm 5' <br />10° <br />15 � <br />20° <br />25° <br />30° <br />1 35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />40° <br />T=.13" <br />26 <br />AO <br />.53 <br />.57 <br />.80 <br />.93 <br />.100 <br />1.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />20 <br />E=.023 <br />.546 <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 <br />.30 <br />.44 <br />.60 <br />.76 <br />.91 <br />1.05 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 <br />2.04 <br />2.21 <br />50 <br />E=.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 />50° <br />T=.17 <br />.34 <br />.51 <br />GS <br />85 <br />1.02 <br />t.I9 <br />1.36 <br />1.54 <br />172 <br />1.91 <br />2.10 <br />2.29 <br />2.48 <br />30 <br />E=.037_ <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 />.550 <br />5q° <br />T=.19 <br />.38 <br />.57 <br />.78 <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 />257 <br />73 <br />E=.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 />.641 <br />.7700 <br />60° <br />T=.21 <br />.42 <br />.63 <br />.84 <br />1.05 <br />1.27 ,1.49 <br />4836.2 <br />1.71 <br />1.94 <br />2.17 <br />2.38 <br />2.60 <br />2.83 <br />3.07 <br />30 <br />E a.056 <br />.112 <br />.163 <br />.225 <br />.233 <br />.340 <br />.398 <br />.457 <br />.516 <br />.575 <br />1786.7 <br />50 <br />774 <br />1134.8 <br />6S° <br />_ <br />T =,23 <br />,d6 <br />.69 <br />.93 <br />1.10 <br />1.40 <br />1.64 <br />1.8$ <br />2.13 <br />2.38 <br />.636 <br />2,63 <br />.697 <br />2.88 <br />3.13 <br />.851 <br />3.39 <br />- 10 <br />E a.067. <br />.135 <br />.204 ..273 <br />4330.7 <br />343 <br />.4I2 <br />.483 <br />.554 <br />.625 .697 <br />.71I <br />.8#5 <br />.922 <br />1.01 <br />I <br />TARLZ I. = Tangents and Externals to a 1* Curve. V <br />Chord= 100 ft. ` <br />Int.Int. <br />Angle <br />"Tangent <br />External <br />. <br />Angle <br />Tangent <br />"External <br />Int. <br />Anglo (Tangent <br />55° <br />External <br />64° <br />3+150.3 <br />` 1026.6 <br />711 <br />4086.9 <br />1308.2 <br />78° <br />4639.8 <br />1643.0 <br />10' <br />3594.9 <br />1032.3 <br />10' <br />4099.5 <br />1315.6. <br />10' <br />4653.6 <br />1G51.7 <br />20 <br />3003.5 <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 />4124.8 <br />1330.3 <br />30 <br />4681.3 <br />1G69.2 <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 />3038.5 <br />1057.7 <br />50 <br />4150.1 <br />1345.1 <br />50 <br />47119.2 <br />1686.9 <br />65 <br />3650.2 <br />1063.9 <br />72 <br />F 41 G2.8 <br />1352.6 <br />79 <br />4723.2 <br />iG95.8 <br />10 <br />3661.9 <br />1070.2 <br />10" <br />4175.6 <br />1360.1 l <br />10 <br />4737.2 <br />1704.7 <br />20 <br />3673.7 <br />1076.G <br />204188.5 <br />.994 <br />1367.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 />1089.3 <br />40 <br />4214.0 <br />1382.8 <br />40 <br />4779.4 <br />173 1. 7 <br />50 <br />3709.0 <br />1095.7 <br />50 <br />4226.8 <br />" 1300.4 <br />50 <br />4793.6 <br />1740.8 <br />00 <br />3720,9 <br />1102.2 <br />73 <br />4230.7 <br />1398.0 <br />80 <br />4807.7 <br />1749.0 <br />10 <br />3732,7 <br />4108.6 <br />10 <br />` 4252.6 <br />1405.7 <br />'10 <br />4822.0 <br />1759.0 <br />20 <br />3744.0 <br />1115.1 <br />20 <br />4265.6 <br />1413.5 <br />20 <br />4836.2 <br />1748.2 <br />30 <br />3750.5 <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 />50 <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 />3792.4 <br />1141.4 <br />74 <br />4317.6 <br />1444.0 <br />81 <br />4893.6 <br />1805.3 <br />- 10 <br />3504.4 <br />1148.0 <br />10 <br />4330.7 <br />1452.5 <br />PO <br />4908.0 <br />1814.7 <br />- 20 <br />3376.4 <br />1154.7 <br />- 20 <br />4343.8 <br />.1.460.4 <br />"20 <br />4922.5 <br />1:924.1 <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 />1484.4 <br />50 <br />4966.1 <br />1852.6 <br />68 <br />3SG4.7 <br />1I81.6 <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 />: 4409.5 <br />1500.5 <br />10 <br />4995.4 <br />1871.8 <br />20 <br />3SS9.O <br />1195.2 <br />20 <br />4423.1 <br />1508.6 <br />20 <br />5010.0 <br />1581.5 <br />30 <br />3901.2 <br />1202.0 <br />30 <br />: 4-136.4 <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 />I 50 <br />5054.3 <br />1910.7 <br />60 <br />3937.9 <br />1222.7 <br />76 <br />4476.5 <br />1541.4 <br />83 <br />5060.2 <br />1920.5 <br />10 <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 />1.558.0 <br />20. <br />5099.0 <br />1940.3 <br />30 <br />3074.8 <br />1243.7 <br />30 <br />4516.9 <br />1566.3 <br />3O <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 />454.4.0 <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 />64 <br />5159.0' <br />1080.4 <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 />49 <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 />Int. <br />Carve 5° <br />10° 15° <br />20° <br />25° 35° <br />40° <br />45° 50° <br />55° <br />60° <br />65° <br />70° <br />_Angle <br />T=.21 <br />.42 .63 <br />.84 <br />1.05 1.49 <br />1.71 <br />1.94 2.17 <br />2.38 <br />2.60 <br />2.83 <br />3.07 <br />E=.056 <br />.112 .1G8 <br />.225 <br />.2830 .398 <br />.457 <br />.516 .575 <br />.630 <br />.697 <br />.774 <br />.851 <br />65° <br />T=•23 <br />.48 69 <br />93 <br />[127 <br />1.16 I.64 <br />1.88 <br />2.13 2.38 <br />2.63 <br />2.88 <br />3.13 <br />3.39 <br />E=.067 <br />.135 .204 <br />.273 <br />.3432 .483 <br />.554 <br />.625 .697 <br />.711 <br />.845 <br />.922 <br />1.01 <br />T=_25 <br />76 <br />1.02 <br />1.28 1.80 <br />2.06 <br />2.33 2.60 <br />2.88 <br />3.10 <br />3.44 <br />3.72 <br />70° <br />E -X80 <br />.51 <br />.159 .240 <br />.321 <br />.4035 .568 <br />.652 <br />.735 .819 <br />.900 <br />.994 <br />1.08 <br />1.17 <br />75°- <br />T=.27 <br />.56 83 <br />1.12 <br />1.40 11.98 <br />2:27 <br />2.57 2.87 <br />3.16 <br />3.47 <br />3.78 <br />4.09 <br />�80° <br />E=.095 <br />.182 .286 <br />.383 <br />.480 .578 .678 <br />.777 <br />.877 .977 <br />1.07 <br />1.18 <br />1.29 <br />1 39 <br />T=•30 <br />.6l 91 <br />].22 <br />1.53 1.84 2.15 <br />2.46 <br />2.78 3.10 <br />3.44 <br />3.78 <br />4.12 <br />4.46 <br />E=.110 <br />.220 .332 <br />.495 <br />.558 .671 .787 <br />.9031.02 <br />1.13 <br />1.25 <br />1,38 <br />1.50 <br />1.62 <br />85°T <br />=.33 <br />66 1.00 <br />1.33 <br />1.68 2.02 2.36 2.70 <br />3-.05-F3 .40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />E=.128 <br />.250 .391 <br />.524 <br />.657 .1901.926 I.05 <br />.1.20 11;34 <br />1.47 <br />1.62 <br />1.78 <br />1.91 <br />