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IV TABLE I. - Tangents and Externals to a le Curve. <br />Chord= 100 ft. <br />Int. - Int <br />Angle Tangent External Ti7 <br />t External Angle Tangent External <br />43°, -2257.0 428.5 592.3 67°' 3110.9 790.1 <br />10' 2266.6 432.0 ` 596.6 10' 3121.7 795.220 2276.2 435.0. 000.0 20 3132.E 500.430 228:9 . 439.2 605.3 30 3143.4 805.640 "2295.6 "442.85 609.6 40 3154.2 810.9 <br />50 2305.2 •446.4 50 2722.7 814.0 50 3]65.1 816.1 <br />44 2314.9 450.0 61 2732.9 618.4 58 3176.0 521.4 <br />10 2324.6 453.6 .110 2743.1 622.8 10 3186.9 520.7 <br />20 2334.3 457.3 20 .2753.4 627.2 20 3197.8 832.0 <br />30 2344.1 461.0 30 2763.7 •631.7 - 30 3208.8 837.3 <br />40 2353.8 464.6 40 2773.9 636.2 40 '13219.7 842. <br />50 2363.5 468.4 50 .2784.2• 640.7. 50 3230.7 848.11 <br />2373.3 472.1 52 2794.5 645.2 89 3241.7 553.5 <br />10 .2383 .1 475.8 10 2804.9 649.7 ' 10 3252.7 858.9 <br />20 2392.8 '•479.6 20 2815.7.' 654.3 20 3263.7 fi64.3 <br />30 2402.6 483.4 30 2825.6 658.8 30; 3274.8 869.5 <br />40 2412.4 487.2 40 2835.9 663.4 40. 3285.8 575.3 <br />50 2422.3 491.0 _ 50 2346.3 668.0 50 3296.9 S80.8 <br />2432.1 494.8 53 2556.7 672.7 60 3305.0 886.4 <br />X8'20 2441.9, 498.7 10 2867.1 677.3 10 3319.1 82.0 <br />20 2451.8 502.5 20 •2877.5 682.0 20 3330.3 87.5 <br />30 2461.7 506.4, 30 2888.0 686.7 30 33' 6 903.2 <br />40 2471.5 510.3 40 2898.4 691.4 40 3352.6 908.8 <br />50• 2481.4 514.3 50 2908.9 696.1 50 3363.8 914.5 <br />A7 " 2491.3 518.2 b4 2919.4 700.9 61 3375.0 920.2 j <br />10 2501.2 522.2 10 2929.9 705.7 10 3386.3 925.9 <br />20; 2511.2 : 526.1 20 2940.4 710.5 20 3397.5 931.6 <br />30. 2521.1 530.1 30 2951.0 715.3 30 3408.8 937.3 <br />40, 2531.1 ' 534.2 40 2961.5 720.1.' 40 3420.1 943.1 <br />50 2541.0 .•535.2 50 2972.1 725.0 50 3431.4 943.9 <br />2551.0 542.2 55 2982:7 729.9 62 3442.7 954.8 <br />10 '2561.0 546.3 10 <br />2993.3 734.8 10 3454.1 060.6 <br />20 2571.0 550,4 20 3003.9 739.7 20 3465.4 066.5 <br />30 2581.0 554.5 30 3014.5 744.6 30 3476.8 972.4 <br />40 3025.2 749.6 40 3488.3 075.3 <br />90 2591.1 555.6 9S4.3 <br />50 2601.1 .562.8 50 3035.5 754.6 50 3999.7 <br />3511.1 90.2 <br />49 10 2621.2 571.1 2 1.2 56.958 10 30557.2 764.6 304G. 5 759.G63 10 3522.6 096.2 <br />20 2631.3 575.3 20 3067.9 769.7 20 3534.1 1002.3 <br />30 2641.4 579.5 30 3078.7 774.7 30 3545.6 1005.3 <br />40 2651.5 583.8 40 3089.4 779.8 40 3557.2 1014.4 <br />50 2661.6 •588.0 50 3100.2 734.9 50 3568.7 1020.5 <br />Corrections to be Added (T =Tangent. " E=External.) <br />40°• . <br />45° <br />50° <br />55° <br />60- <br />65* <br />TABLE L _ Tangents and Externals to a 1° Curve. <br />Chord =100 ft. <br />Int. - • <br />'Angle' <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />64° <br />3580.3 <br />1026.6 <br />71° <br />4056.9 <br />1308.2 <br />78° <br />4639.8 <br />1643.0 <br />10, <br />3591.9 <br />1032.8 <br />10' <br />4099.5 <br />1315.5 <br />10' <br />4653.6 <br />1651.7 <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 />3638:5. <br />1057.7 <br />50- <br />4150.1 <br />1345.0 <br />50' <br />4709.2 <br />1686.9 <br />86 <br />3650.2 <br />1063.9 <br />72 <br />4162.8 <br />1352.5 <br />79 <br />4723.2 <br />1695.8 <br />10 <br />3661.9 <br />1070.2 <br />10 <br />4175.6 <br />1360:3 <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 />3685.4 <br />1082.9 <br />30 <br />4201.2 <br />1375.2 <br />30.' <br />4765.3 <br />1722.7 <br />X40 <br />3697.2 <br />1089.3 <br />40 <br />4214.0 <br />1382.5 <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 />Be <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 />1115.1 <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 />"60 <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 />1444:6 <br />81 <br />.4893.6 <br />1805.3 <br />10 <br />3804,4 <br />1148.0 <br />10' <br />4330.7 <br />1452 <br />10 <br />4903.0 <br />1814.7 <br />20 <br />3816.4 <br />1154.7 <br />20 <br />4343.8 <br />1460..5' 4 <br />20 <br />4922:5 <br />1824.1 <br />30, <br />3828.4 <br />1161.3 <br />30 <br />4356.9 <br />1468.9 <br />30 <br />4937.0 <br />1833.8 <br />40 <br />3840.5 <br />1168.1 <br />40 <br />4370.1 <br />1476.4 <br />4951.5 <br />1843.1 <br />-60 <br />3852.6 <br />1174.8 <br />50 <br />4383.3 <br />1484.9, <br />.40 <br />50 <br />4966.1 <br />1852.6 <br />68 <br />38641.7 <br />1181.6 <br />75 <br />4396.5 <br />1492.4: <br />82 <br />4950.7 <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 />6010.0 <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 />1533.0 <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 />5084.0 <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 />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 />SO <br />3999.5 <br />1257.9 <br />50 , <br />4514.0. <br />1583.0 <br />50 <br />5143.0 <br />1970.3 <br />70 <br />4011.9 <br />1265.0" <br />77 <br />4557.6 <br />1591.5 <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 />1008.6 <br />20 <br />5189.3- <br />2000.6 <br />30 <br />4049.3 <br />1286.5 <br />30 <br />4598.5 <br />1617.0 <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 />1 4626.0 <br />1 1634.4 <br />50 <br />5234.0 <br />2031.4 <br />Corrections to be Added (T =Tangent. E=External.) <br />Curve 5° '10° <br />IS- <br />20° <br />25° <br />1 30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />1 65° <br />70° <br />Angle- <br />80° T=.21 .42 <br />.63 <br />.84 <br />1.05 <br />1: 7 <br />1.49 <br />1.71 <br />1.94 <br />2.17 <br />2.33 <br />2.60 <br />2.83 <br />3,07 <br />E=.056 .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 />16� <br />933 <br />1.10 <br />1.412 <br />1.64 <br />1.38 <br />2.625 <br />2.38 <br />2.711 <br />2.88 <br />3.13 <br />E=.067 .135 <br />.343 <br />83 <br />.554 <br />.697 <br />.845 <br />.022 <br />1,01 <br />700 T=.25 .51 <br />.76 <br />672 <br />1.23 <br />1.54 <br />1.80 <br />2.06 <br />'2.33 <br />2.60 <br />2.88 <br />3.16 <br />3.44 <br />3,72 <br />E=.080 .159 <br />.240 <br />.321 <br />.403 <br />.485 <br />.568 <br />.652 <br />.735 <br />.819 <br />.906 <br />.994 <br />1.08 <br />1.17 <br />75° T=.27 .56 <br />.83 <br />1.12 <br />1.40 <br />1.69 <br />1.98 <br />2.27 <br />2.57 <br />2.87 <br />3.16 <br />3.47 <br />3.78 <br />4.09 <br />E =.095 .182 <br />.288 <br />..383 <br />ASO <br />.578 <br />.G78 <br />.777 <br />.877 <br />.977 <br />1.07 <br />1.18 <br />1.29 <br />1.39 <br />80° T=.30 .61 <br />.91 <br />1.22 <br />1:53 <br />1.84 <br />2.15 <br />2.46 <br />'2.78 <br />3.10 <br />3.44 <br />3.78 <br />4.12 <br />4.46 <br />E=.110 .220 <br />.332 <br />.445 <br />.558 <br />.671 <br />.787 <br />.903 <br />1.02 <br />1.13 <br />1'25 <br />1'38 <br />1.50 <br />1.62 <br />850' T=.33 .6G <br />1.00 <br />1.33 <br />1.63 <br />2.02 <br />2.36 <br />2.70 <br />3.05 <br />3.40 <br />3.17 <br />4.14 <br />4.55 <br />9 89 <br />E =.128 .259 <br />.391 <br />.524 <br />.857 <br />.790 <br />.926 <br />1.00 <br />1.20 <br />134 <br />1.47 <br />1.62 <br />1.76 <br />1.91 <br />F/ <br />