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IV TABLE I: - Tangents and Externals to a 1° Curve. <br />Chord= 700 ft - <br />Int. <br />Ang <br />Tangent <br />External <br />Int' <br />Angle <br />Tan ent Exteinal <br />g <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 />57° <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 />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 />442.8- <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 />516.1 <br />44 <br />2314.9 <br />450.0 <br />51 1 <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 />40 <br />832.0 <br />30 <br />2344'.1 <br />461.0 <br />30 <br />2763:7 <br />631.7_ <br />30 <br />.3197.8 <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 />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 />m. 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 />2815.2 <br />654.3 <br />20 <br />.3263.7 <br />804.3 <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 />, <br />663.4 <br />40' <br />3285:8. <br />875.3 <br />50 <br />2422.3 <br />491.0:. <br />50 <br />2346.3 <br />668.0 <br />50 <br />3296.9 <br />880.8 <br />46 <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 />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 />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 />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 />909.8 <br />. 50 <br />2431.4 <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 />2019.4 <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 1948.9 <br />5099.0 <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 />L. 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 />i 30 <br />2641.4 <br />579.5 <br />30 <br />3078.7 <br />774.7 <br />30 <br />3545.6 <br />1008.3 <br />1.:.40 <br />2651.5 <br />583.840 <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 />. <br />754.9 <br />50 <br />3568.7 <br />1020.5 <br />50° T=.17 .34 .51 .68 .85 1.02 1.19 <br />E=.037 .075 .116 .151 .189 .227 .266 <br />55° T='.19 .38 .57 .78 .95 1,14 1.32 <br />ET <br />=.046 .093 .142 .188_ .236 .283 .332 <br />60° T,=.21 .42 .63 - .84 1.05 127 1.49 <br />E =.056 .112 .168 .225 •.283 :340 -.398 <br />•65° T=.23 .46, :69_ .93 1.16 1.40 1.64 <br />:F. -nay r2G nnA o�° Q- A101 n°° <br />.700 <br />.07 <br />.851 <br />TABLE' I: - Tangents and Externals to a 19 Curve. V <br />Ch ord =100 f t. <br />Int. -„ <br />Angle. <br />Corrections -to be Added (T = Tangent. E = External.), <br />Exteinal <br />Int. <br />Aagle. <br />Curve 5° <br />_ <br />10° 15° 20° 25° 30° 35° 40° 45° 750° 55° 60° <br />- <br />65° 70°- <br />40° <br />T=.13 <br />.26 .40 .53 .67 .80 .93 .106 1.20 1.34 1.49 1.64 <br />1.79 1.04 <br />1026.6 <br />E=.023 <br />.046 .070 _.093 .117 ,142 .172 .203 .234 .265 .277 290 <br />.315 .341 <br />45° <br />T=.15 <br />.30 .44 .60 .76 .91 1.06 1.21 1.37 1.52 1.70 1.87 -12.04 <br />2.21 <br />.3591.9 <br />E=.030 _ <br />.060 .093 .119 .153 .184 .216 .254 .289 .325 .351 .378 <br />.411 .445 <br />50° T=.17 .34 .51 .68 .85 1.02 1.19 <br />E=.037 .075 .116 .151 .189 .227 .266 <br />55° T='.19 .38 .57 .78 .95 1,14 1.32 <br />ET <br />=.046 .093 .142 .188_ .236 .283 .332 <br />60° T,=.21 .42 .63 - .84 1.05 127 1.49 <br />E =.056 .112 .168 .225 •.283 :340 -.398 <br />•65° T=.23 .46, :69_ .93 1.16 1.40 1.64 <br />:F. -nay r2G nnA o�° Q- A101 n°° <br />.700 <br />.07 <br />.851 <br />TABLE' I: - Tangents and Externals to a 19 Curve. V <br />Ch ord =100 f t. <br />Int. -„ <br />Angle. <br />Tangent <br />Exteinal <br />ng le <br />Tan ent <br />g. <br />Externa] <br />Angle <br />Tan ent <br />g. <br />External <br />64° <br />3580.3 <br />1026.6 <br />710 <br />4086.9- <br />1308:2 <br />78°- <br />4639.8 <br />1643.0 <br />1651.7 <br />10' <br />.3591.9 <br />1032.8 <br />10' <br />4099.5 <br />1315.6 <br />1322.9 <br />10' <br />4053.6 <br />4667.4 <br />'1660.5. <br />20 <br />30 <br />3603.5 <br />3615.1 <br />1039.0 <br />1045.2 <br />:.20 <br />30 <br />4112.1 <br />4124.8 <br />1330.3 <br />..20 <br />30 <br />4681.3 <br />'4695.2 <br />1660.2 <br />40 <br />3626.8 <br />1051.4 <br />40 <br />4137.4 <br />1337.7 <br />40 <br />2.83 <br />1678.1 <br />1686.9 <br />50 <br />'3638.5 <br />1057:7 <br />50 <br />4150:1 <br />1345.1 <br />50 <br />.4709.2 <br />-.457 <br />65 <br />3650.2 <br />1063.9 <br />72 - <br />4162.8 <br />1352.6-7 <br />' 9 <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 />4751.2 <br />:1704.7 <br />1713.7 <br />20 <br />3673.7 <br />1076.6 <br />20 <br />4183.5 <br />1367.6 <br />20 <br />30 <br />4765.3 <br />1722.7 <br />30 <br />3685.4 <br />3697.2 <br />1082.9 <br />1089.3 <br />.30 <br />4301.2 <br />4214.0 <br />1375.2 <br />1382.8 <br />40 <br />4779.4 <br />4731.7 <br />40 <br />50 <br />3709.0 <br />1095.7 <br />140 <br />50 <br />422G.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 />10 <br />4807.7 <br />4822.0 <br />1749.9 <br />10 <br />3732.7 <br />1108.6 <br />10 <br />4252.6,_ <br />4265.6 <br />1405.7 <br />1413.5 <br />20 <br />4836.2 <br />,1759.0 <br />1768.2 <br />20 <br />30 <br />3744.6 <br />3756.5 <br />1115.1 <br />1121.7 <br />20 <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 />1788.7 <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 />81 <br />4893.6 <br />1805.3 <br />- <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 />20.3316.4 <br />.671 <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 />1161.3 <br />30 <br />.4356.9 <br />1468.4 <br />30 <br />40 <br />4937.0 <br />4951.5 <br />1833.6 <br />1843.1 <br />40 <br />3840.5 <br />1168.1' <br />40 <br />4370.1 <br />1476.4 <br />50 <br />4966.1. <br />1852.6 <br />.50 <br />3352.6 <br />1174.8 <br />- 50 <br />4383.3 <br />1484.4 <br />1.06 <br />1.20 <br />1.34 <br />68 <br />3364.7 <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 />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 />5054.3 <br />1900.9 <br />1910.7 <br />50 <br />3925,6. <br />1215.8 <br />.50 <br />4463,1 <br />1533.1 <br />.50 <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 />. <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 />1566.3, <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 />4544.0 <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 />10 <br />4571.2 <br />1600.1 <br />10 <br />5174.1 <br />1990.5 <br />.20 •.403G.8 <br />.1272.1 <br />1279.3 <br />20 <br />4584.8 <br />1608.6 <br />20 <br />5159.3 <br />2000.6 <br />30 <br />128G.5 <br />30 <br />4598:5 <br />1617.1 <br />30 <br />5204.4 <br />"2010.8 <br />'40 <br />.'.4040.3 <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 <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 />'55° <br />60° <br />65° <br />70° <br />.Angle <br />- <br />_. <br />.. <br />.. <br />.... <br />.-. <br />_.•_ <br />T =.21: <br />'.42 <br />.84 <br />1.05 <br />1.27 - <br />1.49 <br />1.71 <br />L94 <br />2.17 <br />2.38 <br />2:60 <br />2.83 <br />3.07 <br />60° <br />E =.056 <br />.112 <br />..63 <br />.168 <br />.225 <br />.93 <br />.283 <br />.340 <br />.398 <br />-.457 <br />.516 <br />.575 <br />.636 <br />.697 <br />.774 <br />.851 <br />T=.23 .46 '.69' <br />1.16 140' <br />1.64 <br />1.88 2.13 <br />2.38 <br />2.63 2.88 3.13 . <br />3.39 <br />65° - <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 />T=.25. <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 />70° . <br />E =.080 <br />.51' <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 />T=.27 <br />t56-: <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 />75° ` <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 />! <br />T=.30 <br />.61 <br />.91 <br />L22 <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 />80° <br />E=-.3110.332 <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 />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 />.' <br />-E =.128• <br />.259 <br />..391 <br />.524 <br />.657 <br />.790 <br />.926 <br />1.06 <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />1.76 <br />1'.91 <br />