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IV TAHLn I. - Tangents and Externals to a 1" Curve. <br />Chord = 100 ft. <br />Int. <br />Angle <br />Tangent <br />g_t <br />Eateroal <br />Int <br />_Angie <br />Tangent Ezternal <br />Int. <br />Angle <br />Tangent <br />Eztemal <br />.130 <br />2257.0 <br />428.5 <br />50° <br />2671.8 <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 />590.6. <br />10' <br />3121.7 <br />795.2 <br />20 <br />2276.2 <br />435.6 <br />20 <br />2092.1 <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 />230 5. 2 <br />440.4 <br />50 <br />2722.7 <br />04.0 <br />50 <br />3165.1 <br />816.1 <br />,44 <br />2314.9 <br />450.0 <br />61 <br />2732.9 <br />616.4 <br />.58 <br />3176.0 <br />821.4 <br />10 <br />2324.G <br />453.6 <br />to <br />2743.1 <br />622.8 <br />10 <br />2180.9 <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 />46 <br />2373.3 <br />472.1 <br />53 <br />2794.5' <br />G45.2 <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 />470.6 <br />.20 <br />2815.2 <br />654.3, <br />20 <br />3263.7 <br />S64.3 <br />30 <br />2402.6 <br />483.4 <br />30 <br />2825.6 <br />658.8; <br />30 <br />3274.8 <br />S69.8 <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 />r <br />50 <br />3296.9 <br />SSO.S <br />66 <br />2432.1 <br />494.8 <br />53 <br />2856.7 <br />672.1, <br />60 <br />3303.0 <br />886.4 <br />30 <br />2441.9 <br />498.7 <br />10 <br />2867.1 <br />677!3 <br />10 <br />3319.1 <br />$92.0 <br />20 <br />2451.8 <br />502.5 <br />00 <br />2877.5 <br />682.0 <br />20 <br />3330.3 <br />897.5 <br />30 <br />2161.7 <br />506.4 <br />30 <br />2883.0 <br />686.7 <br />30 <br />3341.4 <br />903.2 <br />40 <br />2471.5 <br />510.3 <br />40 <br />2898.4- <br />691.4 <br />40 <br />3352.6 <br />908.3 <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 />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 />925.0 <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 />9-M 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 />45 <br />2551.0 <br />542.2 <br />55 <br />2982.7 <br />720.9 <br />62 <br />3442.7 <br />954.8 <br />10 <br />2561.0 <br />;548.3 <br />10 <br />2093.3 <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.G <br />40 <br />3025:2 <br />749.0° <br />40 <br />3488.3 <br />978.3 <br />50 <br />2601,1 <br />562.8 <br />50 <br />3035.5 <br />754,8 <br />50 <br />3499.7 <br />954.3 <br />49 * <br />2G11.2 <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 />3522.8 <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 />3059.4 <br />779.8 <br />40 <br />3557.2 <br />1014.4 <br />50 <br />26¢1.6. <br />:585.0 <br />50 <br />3100.2 <br />754-9; <br />50 <br />3568.7 <br />1020.5 <br />Corrections-tc.be Added (T =Tangent. E=External.) <br />Ln <br />Angle <br />Cd7e 5° 10' <br />15° ° <br />20 <br />25 0 <br />30° <br />0°. <br />35° 4 45° 50° 55° 60° 65° <br />10° <br />'40° <br />Tm.13 .26 <br />.40 .53 <br />.67 <br />_ <br />.80 <br />.93 .106 1.20 1.34' 1.49 1.64 1.79 <br />1.94 <br />1308.2 <br />E -.023 .046 <br />.070 .093 <br />.117 <br />.141 <br />.172 .203 .234 .265 .277 290 .315 <br />.341 <br />45- <br />T=.15 .30 <br />.44 .60 <br />.7G <br />.91 <br />1.06 1.21 1.37 1.52 1.70 L87 2.D4 <br />2.21 <br />3603.5 <br />E=.030 .060 <br />.093 .119 <br />.153 <br />.164 <br />.216 .254 289 '.325 .351 .378 .411 <br />.445 <br />-50°' <br />T=.17 .34 <br />.51 .63 <br />.85 <br />02 <br />1.19 1.36 1.54 1.72 1.91 2.10 2.29 <br />2.18 <br />30. <br />E-037 .075 <br />.110 .151 <br />J89 <br />.227 <br />.266 .305 .345 ,384 .425 .4G7 .508 <br />.530 <br />55° <br />T=.19 . .38 <br />.57 .76 <br />.95 <br />1.14 <br />1.32 1.52 1.72 1.92 2.14 2.35 2.56 <br />2.7.7. <br />--E=.046 <br />.093 <br />.142 .1SS <br />.236 <br />1.283 <br />.332 3.81 .420 .479 .530 .582 .641 <br />.709- <br />600 <br />T=,21 .42 <br />.84 <br />1.05 <br />1.27 <br />1:49 1.71 1.94 2.17 2.38 2.60 2.83 <br />3.07 <br />4723.2 <br />&=.056 112 <br />5.283 <br />3661.9 <br />/.340 <br />.398 .457 .516 .575 .G3B .697 .7, <br />1 <br />65° <br />T="23 .46 <br />.93 <br />�204 <br />1.16 <br />j1.40 <br />1.64 1.88 2.13 2.36 2.63 2.68 3.133:39=E=.OG7 <br />1076.6 <br />20 <br />.135 <br />.273 <br />.393 <br />.412 <br />.963 .554 .625 .697 .711 .645 .922 <br />1.01 <br />TABLE' I. - Tangents and Externals to a 1° Curve. V <br />Chord =100 ft., <br />Int. _ <br />Angle <br />Tangent <br />Fxternal <br />Lut. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />64° <br />3580.3 <br />1026.6 <br />711 <br />4056.9 <br />1308.2 <br />.78° <br />4639.8 <br />1G43.0 <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 />4067.4 <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 />1686.9 <br />'65-' ' <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 />11SS. 5 <br />1367.6 <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 />I049.3 <br />40 <br />4214.0 <br />1382.8 <br />40 <br />4779.4 <br />1731.7 <br />50 <br />3709.0 <br />1095.7 <br />50 <br />4226.8 <br />1390.4 <br />50 <br />4793.6 <br />1749.8 <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 />2.15 <br />3732.7 <br />1108.6 <br />10 <br />4252.6 <br />1405"7 <br />10 <br />4822"0 <br />1759.0 <br />.10 <br />20 <br />3744.0 <br />1115.1 <br />20 <br />4265.6 <br />1413.5 <br />20 <br />4836.2 <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 />x50 <br />3750.4 <br />1134.8 <br />50 <br />4304.6 <br />1430.8 <br />50 <br />4879.2' <br />1796.0 <br />67 <br />3792.4 <br />1141.4 <br />74 <br />4317.6 <br />1444.6 <br />81 <br />4893.0 <br />1805.3 <br />10 <br />3804.4 <br />1145.0 <br />10 <br />4330.7 <br />1452.5 <br />10 <br />4908.0' <br />1814.7 <br />20 <br />3916.4 <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 />1151.3 <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 />.3952.G <br />1174.8 <br />50 - <br />4383.3 <br />1454.4 <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 />4980.7 <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 />4136.4 <br />1516.7 <br />30 <br />5024.8 <br />1891.2 <br />10 <br />3913.4 <br />1208.9 <br />40 <br />4449.7 <br />1524.9 <br />40 <br />5039.5 <br />1900.9 <br />. <br />50 <br />3925.4 <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 />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 />1549.7 <br />10 <br />5084.D <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 1 <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 />1591.0 <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 />4049.31 <br />1286.5 <br />30 <br />4598.5 <br />1617.1 <br />30 <br />5204.4, <br />2010.8 <br />40 <br />4051.8 <br />1 1293.6 <br />40 <br />4612.2 <br />1625.7 <br />40 <br />5319.7 <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 5° 10° <br />15°" <br />20° <br />25° <br />30° <br />35° <br />40° <br />450 <br />50° <br />55° 60° 65° <br />70- <br />_Angle <br />T=.21 .42 <br />.63 <br />.84 <br />1.05 <br />1.27 <br />1.71 <br />1.94 <br />2.17 <br />2.38 2.60 2.83 <br />3.07 <br />60, <br />E =.056 .112 <br />.168 <br />.225 <br />.283 <br />.340 <br />.457 <br />.516 <br />.575 <br />Me .697 ,774 <br />,851 <br />65° <br />T=.23 .46 <br />.80 <br />.93 <br />1.16 <br />1.40 <br />n.4"33 <br />1.68 <br />2.13 <br />2.38 <br />2.03 2.88 3.13 <br />3.39 <br />E-.Oe7 :135 <br />.204_ <br />.273 <br />.343 <br />.412 <br />.554 <br />.525 <br />.697 <br />.711 .845 .922 <br />1.01 <br />.51 <br />.76 <br />1.02 <br />1-28 <br />1.54 <br />2.06 <br />2.33 <br />2.60 <br />2.86 3.16 3.44 <br />3.72 <br />70° <br />.25 <br />E'=.080 .159 <br />.240 <br />.321 <br />.403 <br />.485 <br />.652 <br />.735 <br />.819 <br />.906 .994 1.08 <br />1.17 <br />T=.27 .66.83 <br />1.12 <br />1.40 <br />1.60 <br />1.98 <br />2.27 <br />2.57 <br />2.67 <br />3.16 3.47 3.78 <br />4.09 <br />E =.095 .182 <br />.28& <br />.383 <br />.480 <br />.578 <br />.678 <br />.777 <br />.877 <br />.977 <br />1.07 1.18 1.29 <br />1.39 <br />-.30 <br />1.22 <br />1.53 <br />1.84 <br />2.15 <br />2.46 <br />2.78 <br />3.10 <br />3.44 3.78 4.12 <br />4.46 <br />800 <br />.61 <br />E=.110 .220 <br />.91 <br />.332 <br />.445 <br />.558 <br />.671 <br />.787 <br />.003 <br />1.02 <br />1.13 <br />1.25 1.38 1.50 <br />1.62 <br />850 <br />T=.33 66 <br />1.00 <br />1.33 <br />1.68 <br />2.02 <br />2.36 <br />.2.70 <br />3.05 <br />3.40 <br />3.77 4.14 4.55 <br />4.89 <br />E =.128 .259 <br />.391 <br />.524 <br />.657 <br />.790 <br />.926.1.06 <br />1.20 <br />1.34 <br />1.47 1.62 1.78 <br />1.91 <br />