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IV TABLE I..- Tangents, and Externals to a 10 Curve. <br />Chord= 106 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Int: <br />Angie <br />.. . . <br />Tangent External <br />.Int. <br />Angle <br />Tangent <br />External <br />43° <br />2257.0 <br />428.5 <br />.50° <br />2671.8 <br />592.3 <br />570 <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 />312117 <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 />50 <br />3165.1. <br />816.1 <br />44 <br />2314.9 <br />450.0' <br />51 <br />2732.9 <br />618.4' <br />58. <br />3 170. 0 <br />821.4 <br />10 <br />2324.6 <br />.453.6' <br />1Q, <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 />101 <br />3197.8 <br />832.0 <br />-30 <br />2344.1' <br />461.0 <br />-30 <br />2763.7 <br />631.7 <br />.20 <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 />12363.5. <br />.468.4 <br />50 <br />2784.2 <br />640:7• <br />50 <br />3230.7• <br />848.1 <br />45.. <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 />2325.6 <br />658.8, <br />30 <br />3274.8: <br />869.8 <br />40 <br />2412.4' <br />487.2 <br />40 <br />2535.9 <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 />50 . <br />3296.9. <br />'850.8 <br />.46 . <br />2432.1 <br />494.8 <br />53 <br />2356.7 <br />672.7 <br />60 <br />3308.0 <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 />-2451:8' <br />502:5 <br />20 <br />2577.5 <br />682.0 <br />20 <br />3330.3• <br />897.5 <br />30 <br />2461.7: <br />506.4 <br />'30 <br />2SS3.0 <br />686.7 <br />30 <br />3341.4 <br />903.2 <br />40 . <br />2471.5 <br />510.3 <br />40 <br />2S98.4 <br />691.4 <br />40 <br />3352.6 <br />908.8 <br />50 <br />2481.4 <br />514.3 <br />50 <br />2903.9 <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 />925:9 <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 />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 />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 />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 />2601.1 <br />562.8 <br />.50 <br />3035.8 <br />754.6 <br />50 <br />.3499.7 <br />984.3 <br />49 <br />2611.2 <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 />7G9.7 <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 />553.8 <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 1 <br />3100.2 <br />784.9 <br />50 <br />3568.7 <br />1020.5 <br />Corrections to be -Added (T.= Tangent. , E =External.) <br />Alpg 9 <br />Curve 5° <br />10° <br />IS° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />40° <br />4639.8 <br />1643.0 <br />•10' <br />3591.9 <br />1032.8 <br />10' <br />4099.5 <br />.106 <br />1.234 <br />1.265 <br />1 .49 <br />1 .64 <br />1 .79 <br />1 .94 <br />20 <br />E=.023 <br />..046 <br />.070 <br />093 <br />.117 <br />.141 <br />:172 <br />.203 <br />30 <br />4124.8 <br />.277 <br />.290 <br />.315 <br />.341 <br />;45° <br />3626.8 <br />1051.4 <br />140 <br />'4137.4 <br />1337.7 <br />40 <br />•266 <br />1 2,114 <br />1.37 <br />2891 <br />.52 <br />1.351 <br />1.378 .87 <br />2.411 .04 <br />21 <br />? <br />50 <br />E=:030 <br />.060 <br />093 <br />119 <br />153 <br />.184 <br />4162.8 <br />1352:6 <br />79 <br />325 <br />1695.-S <br />10 <br />3661.9 <br />445 <br />50° <br />T=.17 <br />.34 <br />.51 <br />.68 <br />85 <br />1.02 <br />1.19 <br />1.36 <br />1.54 <br />1.72 <br />101 <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 />.334 <br />.425 <br />.467 <br />.503 <br />.550 <br />55° <br />E=,046 <br />1731.7 <br />50 <br />3709:0 <br />1095.7 <br />1.14 <br />1.032 .32 <br />13 <br />1.420 <br />1.479 92 12.14 <br />1740.8 <br />2.35 <br />.562.700 <br />..641 <br />1102:2' <br />7.3' <br />4239.7 <br />093 <br />.142 <br />.188 <br />.238 <br />.283 <br />8732.7 <br />81 <br />10 <br />4252:6 <br />.530 <br />582 <br />4822.0 <br />1759.0 <br />20 <br />T=.21 <br />.42 <br />.63 <br />.84 <br />1.05' <br />127 <br />1:49 <br />1.71 <br />1.94 <br />217 <br />2.38 <br />2.60 <br />2.R3 <br />3.07 <br />60° <br />'_•056 <br />.112 <br />.168 <br />.225 <br />.233' <br />.340 <br />.393 <br />.457 <br />.516 <br />.575 <br />'.636 <br />.697 <br />.774 <br />.851 <br />. .50 <br />4304.6 <br />1436.8 <br />50 <br />4879.2 <br />1.3431.16 <br />1 <br />1.483 .64 <br />1 .88 <br />2.625 13 <br />2.38 <br />1444.6 <br />2.845 .88 <br />3.022 <br />3.39 <br />65' <br />E =.067 <br />135 <br />204 <br />.273 <br />1452.5 <br />4102 <br />4908.0 <br />554 <br />92.711 <br />20 <br />.6971 <br />1154.7 <br />20 <br />.4343.8 <br />1.01 <br />k <br />TABi -, I. = Tangents and Externals to a 1° Curve. V <br />Chord =100-f t. <br />Angle <br />Tangent <br />External <br />"Angle <br />Tangent <br />External <br />Angie <br />Tangent <br />External <br />64°* <br />3580.3 <br />1026:6 <br />71° <br />4088'9 <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 />1315.6 <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 />36115.1 <br />1045.2 <br />30 <br />4124.8 <br />1330.3 <br />30 <br />4681.3 <br />1060.2 <br />40 <br />3626.8 <br />1051.4 <br />140 <br />'4137.4 <br />1337.7 <br />40 <br />4695.2 <br />1678.1 <br />50 <br />3638.5 <br />1057.7 <br />60 <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.-S <br />10 <br />3661.9 <br />1D70.2 <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 />4183.5 <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 />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 />7.3' <br />4239.7 <br />1398.0 <br />80 .. <br />4807.7 <br />1749.9 <br />10 <br />8732.7 <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 />4536.2 <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 />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 />1444.6 <br />SI <br />4893.61805.3 <br />1.62 <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 />3316.4 <br />1154.7 <br />20 <br />.4343.8 <br />1460.4 <br />20 <br />4922.5 <br />1824.1 <br />30 <br />3328,,4 <br />1161:3 <br />- 30- <br />4356.9 <br />1468.4 <br />30 <br />4937:0 <br />1833.6 <br />"40 <br />3840.6 <br />1168.1 <br />40 <br />4370.1 <br />,1.476.4 <br />40 <br />4951.5 <br />1843.1 <br />X50 <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 />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 />4109.8 <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 />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 />3937.0 <br />1222.7 <br />76". <br />4476:5 <br />1541:4 <br />83 ' 1 <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 />5054:0 <br />1930.4 <br />20 <br />3962.5 <br />1236.7 <br />20 <br />4503:4 <br />1553.0 <br />20 <br />5099.0 <br />1940.3 <br />30 <br />3974.8 <br />. 1243.7 <br />30 <br />.451619 <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 />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 <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 />1017.1 <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 />1 4074:4 <br />1 1300.9 <br />50 <br />1 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 />Curve 5° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />_Angle ' <br />_ <br />80° <br />T=.21.42 <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 />E=.056 <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 />93 <br />1.16 <br />1.40 <br />1.64 <br />1.88 <br />2.13 <br />2.38 <br />2.63 <br />2.88 <br />3.13 <br />3.39 <br />E=.067 <br />.135 <br />.204 <br />.273 <br />.343 <br />.412 <br />.483 <br />.554 <br />.625 <br />.697 <br />.711 <br />.845 <br />.922 <br />1.01. <br />700 ' <br />T=.25 <br />.51 <br />.76 <br />1.02 <br />1.28 <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 <br />.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; <br />T=.27 <br />.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 <br />.182 <br />.286 <br />.383 <br />.480 <br />578 <br />.678 <br />.777 <br />.877 <br />.977 <br />1.07 <br />1.18 <br />1.29 <br />1.39 <br />80o <br />T=.30 <br />.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=410. <br />'.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 />,85° <br />T=.33 <br />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 <br />4.14 <br />4.55 <br />4.89 <br />E.=.128 <br />.259 <br />.391 <br />.524 <br />.657 <br />.7930 <br />.926 <br />1.08 <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />I 1.76 <br />1.91 <br />