Laserfiche WebLink
IV <br />TABLE 1. - Tangents and Externals to a 1° Curve. TABLE I. - Tangents and Externals to a 1° Curee: <br />Chord=3C0 ft. Chord =100 ft" <br />Int. .Tangent <br />Angle <br />'Cur ve 5' <br />External <br />InL: <br />Angle <br />Tangent <br />g <br />External <br />Int.Tangent <br />Anggll e <br />40° <br />External <br />43° <br />22.7.0 <br />428.5 <br />50° <br />2671.8 <br />592.3 <br />57° <br />3110.0 <br />700.1 <br />10' <br />.2266:G <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 />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 />442.5 <br />40 <br />2712...5 <br />•609.6 <br />40 <br />3154.2 <br />810.9 <br />50 <br />2305.2 <br />44.6.4 <br />50 <br />2722.7 <br />614.0 <br />50 ' <br />3165.1 <br />-816.1 <br />44 <br />2314.9 <br />450.0 <br />61 <br />2732.0 <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 />G31.7 <br />30 <br />3209.8 <br />837.8 <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 />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 />'2515.2 <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 />150 <br />2422.3 <br />491.0 <br />50 <br />2846.3 <br />668.0 <br />50 <br />3296.9 <br />8S0.8 <br />i 46- <br />2432.1. <br />494.8 <br />53 <br />2856.7 <br />672.7 <br />60 <br />3303.0 <br />886.4 <br />10 <br />2441.0 <br />499.7 <br />10 <br />2867.1 <br />•677,3 <br />10 <br />3319.1 <br />892.0 <br />0 20 <br />30 <br />2451.8 <br />2461.7 <br />502.5 <br />506.4 <br />20 <br />30 <br />2877.5 <br />2888.0 <br />682.0 <br />686.7 <br />20 <br />. 30 <br />3330'3 <br />3341.4 <br />897.5 <br />003.2 <br />40 <br />2471.5 <br />510.3 <br />40 <br />2898.4 <br />691.4 <br />40 <br />3352.6 <br />,908.8 <br />'60 <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 />515.2 <br />54 <br />2010.4 <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 />'"2;i41.0 <br />538.2 <br />'50 <br />2072.1 <br />725.0' <br />50 <br />3431.4 <br />948.9 <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 />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 />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 />V30 <br />2581.0 <br />554.5 <br />30 <br />3014.5 <br />744.6 <br />30 <br />3476:8 <br />972.4 <br />O 40 <br />291.0 <br />558.6 <br />40 <br />3025.2 <br />740.6 <br />40 <br />3485.3 <br />.978.3 <br />/ NN 50'' <br />2601.1 <br />562.8 <br />50 <br />3035.8 <br />754.6 <br />50 <br />3499.7 <br />'984.3 <br />9 ` <br />4011.9 <br />1265:0 <br />77 <br />4557.6 <br />1591.6 <br />84 <br />5159.0 <br />49 <br />2611.2 <br />566.9 <br />56 <br />3046.5 <br />759.6 <br />63 <br />3.511.1 <br />000.2 <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 />100S.3 <br />40 <br />2651.5 <br />553.8 <br />40 <br />3059.4 <br />779.5 <br />40 <br />3557.2 <br />1014.4 <br />50 <br />2661.6 <br />535.0 <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 />Inti <br />'Cur ve 5' <br />10' <br />15° <br />20° <br />25° <br />35° <br />40° <br />45° SO-] <br />55° <br />60° <br />65° <br />70° <br />A_ nglc <br />1308.2 <br />78° <br />4639..8 <br />.1643.0 <br />101' <br />3591.9 <br />1032.8 <br />10, <br />4099.5 <br />1315.6 <br />10' <br />4653.6 <br />40° <br />T=•13 <br />.26 <br />.40 <br />.53 <br />.07 <br />.93 <br />lOG <br />1.20 1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />30 <br />E =.023 <br />.046 <br />.070 <br />.003 <br />.117 <br />,172 <br />.203 <br />.234 .265 <br />°77 <br />290 <br />.315 <br />.341 <br />4�° <br />T=.15 <br />.30 <br />.44 <br />.60 <br />.761.OG <br />[:2027 <br />4150.1 <br />1.21 <br />1.37 1.52 <br />1.70 <br />1.87 <br />2.04 <br />2.21 <br />1063.9 <br />E=.030 <br />.060 <br />.003 <br />.119 <br />.153 <br />.216 <br />,254 <br />,289 .325 <br />.351 <br />.378 <br />.411 <br />.445 <br />�0, <br />T=.17 <br />.34 <br />.51 <br />GS <br />.85 <br />1.19 <br />1.36 <br />1.54 1.72 <br />1.91 <br />2.10 <br />2.29 <br />2.43 <br />3655.4 <br />E=.037 <br />.07:1 <br />.116 <br />.151 <br />.189 <br />.260 <br />.305 <br />.345 .354 <br />.425 <br />.467 <br />,5088 <br />.650 <br />55° <br />T=.19 <br />.38 <br />.57 <br />..76 <br />.95 1.14 <br />1.32 <br />1.52 <br />1.72 1.92 <br />2.14 <br />2.35 <br />2.56 <br />2.77 <br />66 <br />E=.046 <br />.093 <br />.142 <br />ASS <br />.236 .253 <br />.332 <br />3.81 <br />.420 .479 <br />.530 <br />.582 <br />.641 <br />.700 <br />60° <br />T=.21 <br />,42 <br />.63 <br />.84 <br />1.05 IL27 <br />1.49 <br />1.71 <br />1.94 2.17 <br />2.38 <br />2.60 <br />-20 <br />4836.2 <br />1768.2 <br />E=.056 <br />.112 <br />.168 <br />225 <br />.283 .340.398 <br />1421.2 <br />.457 <br />.516 .575 <br />.636 <br />.69765° <br />3768.5 <br />1129.2 <br />40 <br />T=.23 <br />.46 <br />G9 <br />93 <br />1.16 1,40 <br />1.64 <br />1.88 <br />2.13 2.38 <br />2.63 <br />2.88 <br />�2.L <br />50 <br />4879.2 <br />E=.067 <br />.135 <br />.204 <br />.273 <br />.343 .412 <br />.483 <br />.5541 <br />.025 .697 <br />.711 <br />.845 <br />•10 <br />3804.4 <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Int. <br />Tangent <br />External <br />64° <br />3556.3 <br />1026,6 <br />71° <br />4086.9 <br />1308.2 <br />78° <br />4639..8 <br />.1643.0 <br />101' <br />3591.9 <br />1032.8 <br />10, <br />4099.5 <br />1315.6 <br />10' <br />4653.6 <br />11651.7 . <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 />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 />363S: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 />4188.5 <br />1367.6 <br />20 <br />4751.2 <br />1713.7 <br />30 <br />3655.4 <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 />1731.7 <br />50 <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 />1398.0 <br />80 <br />4807.7 <br />1749.9 <br />10 <br />3732.7 <br />1108.6 <br />10 <br />4252.6. <br />1405.7 <br />10 <br />4822.0 <br />1759.0 <br />20 <br />3744.6 <br />1115.120 <br />1.62 11.76 <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 />1129.2 <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 />4301.6 <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 />1444.6 <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 />1824.1 <br />30 <br />3825.4 <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 />4951.5 <br />1843.1 <br />50 <br />3852.6 <br />1174.8 <br />50 <br />4383.3 <br />1484,4 <br />,40 <br />50 <br />496G.1 <br />1852.6 <br />CS <br />3564.7 <br />1181.6 <br />76 <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 />4409.3 <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 />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 />69 <br />3937.9 <br />1222.7 <br />76 <br />'4476.5 <br />1541.4 <br />83 <br />5069.2 <br />10 <br />3950.2 <br />1229,7 <br />10. <br />4489,0 <br />1549.7 <br />10 <br />5084.0 <br />1030.4 <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 <br />3699.5 <br />1257.9 <br />50 <br />4514.0 <br />1553.1 <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 />10 <br />4024.4 <br />1272.1 <br />10 <br />4571.2 <br />1600.1 <br />10 <br />5174.1 <br />,1080.4 <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 />1634.4 <br />50 1 <br />5234.9 <br />2031,4 <br />Corrections to be Added (T =Tangent. E=External.) <br />lnL Curse 5° 10° <br />15° <br />20° 1 25°. <br />30° <br />35° 40° <br />45° <br />SV <br />55° <br />60° 65° <br />70° <br />tn81e <br />1.05 <br />1.340 <br />1.398 1.457 <br />1.516 <br />.17 <br />2.575 <br />2.382.697 <br />.60 <br />2.774 <br />3 <br />E=.056 .112 <br />163 <br />.225 .283 <br />.636 <br />851 <br />T=.23 .46 <br />65° <br />.69 <br />.93 1.16 <br />1.40 <br />1.64 1.88 <br />2.13 <br />2.38 <br />2.63 <br />2.88 3.13 <br />3,39 <br />E=.067 .135 <br />.204 <br />.273 .343 <br />.412 <br />AS3 .554 <br />.625 <br />.697 <br />.711 <br />,845 .922 <br />1.01 <br />79, T=.25 .51 <br />.76 <br />1.02 1.28 <br />1.54 <br />1.30 2.OG <br />2.33 <br />2.60 <br />2.88 <br />3.16 3.44 <br />3.72 <br />E =.080 .159 <br />.240 <br />.321 .403 <br />.485 <br />.568 .652 <br />.735 <br />,819 <br />,906 <br />,994 1.08 <br />1.17 . <br />7°° T=.27 .56 <br />.83 <br />1.12 1.40 <br />1.69 <br />1.98 2.27 <br />2.57 <br />2.87 <br />3.16 <br />3.47 3.75 <br />_409 <br />B=.095 .182 <br />.280 <br />.383 .480 <br />.578 <br />.678 .777 <br />.877 <br />.977 <br />1,07 <br />1.181.39 <br />. <br />60° T=,30. .61 <br />9l <br />1:22 11.53 <br />LSA <br />J2.15 2.46 <br />2.78 <br />3.10 <br />3.44 <br />3.78 4.12 <br />4.46 <br />E =,110 .220 <br />,332 <br />.445 .558 <br />.671 <br />.787 .903 <br />1.02 <br />1.13 <br />1.25 <br />1.38 1.50 <br />1.62 <br />35, T=,33 .66 <br />1.00 <br />1.33 1.68 <br />2.02 <br />2,36 2.70 <br />3.05 <br />3.40 <br />3.77 <br />4.14 4.55 <br />4.89 " <br />.E-.128 .259 <br />.391 <br />,524 .657 <br />.790 <br />926 1.06 <br />1.20 <br />1.34 <br />1.47 <br />1.62 11.76 <br />1.01 <br />