Laserfiche WebLink
II TABr s I. - 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 />1. <br />50.00 <br />x;22 <br />'8"_ <br />400.06- <br />13.99- <br />-15" <br />754.32 <br />40.44 <br />10' <br />58.34 <br />•.80 <br />101' <br />'409:03 <br />14.58 <br />l0'' <br />702:80 <br />50.55 <br />"0 <br />60.67. <br />.39 <br />20 <br />417.41 <br />I5.18 <br />20- <br />771.20 <br />61.68 <br />30 <br />75.01. <br />.49 <br />30 <br />425.79 <br />-15,80 <br />30 . <br />779.77 <br />52.82, <br />40 <br />83:34 <br />.61" <br />40 <br />434.17 <br />16.43 <br />40 <br />788.20' <br />'53.97 <br />50 <br />91,68 <br />.73- <br />50 <br />442.55 <br />17.07 <br />;`50- <br />,706.75 <br />55.13 <br />2 <br />100:01 <br />.67 <br />9 <br />450.93 <br />17.72 <br />16 <br />805.25 <br />56.31 <br />10 <br />108.35 <br />1.02 <br />10 <br />459.32 <br />18.38 <br />IO <br />813.75 <br />57-50 <br />20 <br />118.68 <br />-1.19 <br />20 <br />467.71- <br />19.06 <br />.20 <br />822.25 <br />58.70 <br />^0 <br />" 125.02 <br />1.35 <br />30", <br />'475.10 <br />19.75 <br />30 <br />._830:76 <br />59.91 <br />40 <br />133.3G <br />1.55 <br />40 <br />484.49 <br />20.45 <br />•40 <br />839.27 <br />-61.14 <br />50 <br />141.70 <br />1.75 . <br />50 <br />492.88 <br />-21.15 <br />50 <br />847.78 <br />62.38 <br />3 <br />Irib. 04. <br />1.96. <br />10 <br />501,28. <br />21.89 <br />17 <br />856.30 <br />•63.63 <br />'10. <br />158':38 <br />2.19 <br />10 <br />509:68 <br />221'62 <br />10 <br />864':82 <br />64.90 <br />20- <br />1G6.72 <br />2.43 <br />20 . <br />`518.08 <br />23.38 <br />-20" <br />873:35;. <br />66.18 <br />'30_ <br />175.OG <br />.- 2.67- <br />- •- 30 ' <br />"526:-48' <br />•24.14- <br />- 30'. <br />-`881:8S' <br />67.47 <br />.. <br />.40- <br />183.40 <br />2.03••40 <br />40 <br />`'534:89.' <br />24.91' <br />--"40 . <br />`890:41' <br />68.77 <br />50 <br />191 74 <br />3.21 <br />50 <br />543.29 <br />25:70- <br />50 <br />'898:95 <br />70.09 <br />26 <br />200.08 <br />3.49. <br />11 <br />551.70 <br />26.50' <br />18 <br />907.49 <br />71.42 <br />-4 <br />d0. <br />'208:43 <br />3:79 <br />10 <br />560.11 <br />27.31 <br />10 <br />916.03 <br />72.76 <br />'•20 '•,210:77 <br />1287.7 <br />4.10 <br />20 <br />5G8.53 <br />28.14 <br />20 <br />924.58 <br />74.12 <br />30 <br />_ 225.12 <br />4.42 <br />• 30 . <br />.576.95 <br />28:97 <br />30 <br />933.13 <br />75.49 <br />40 <br />233.47 <br />4:76 <br />40 <br />585.36 <br />29.82 <br />40 <br />941.69 <br />76.86 <br />50 <br />• 241:81 <br />5.10 <br />`'60 . <br />592.79 <br />30.68 <br />50 <br />950.5 <br />' 78.20 <br />20 <br />1322.8 <br />150.71 <br />33 <br />1697.2 <br />246.1 <br />40 <br />2085.4 <br />-367.7 <br />6250.16 <br />1331.0 <br />5.46 <br />12' <br />602.21 <br />31.56 <br />19. <br />059 91 <br />79.67 <br />.10 <br />25S'.51 <br />5.83 <br />�10 <br />G10.G4 <br />32.4510 <br />20 <br />967.38 <br />81.09 <br />420' <br />266:8G <br />6.21 <br />20 <br />619.07 <br />33.35 <br />20 <br />•975.96 <br />182.53 <br />30 <br />275.21 <br />6.61 <br />30 <br />am'.50 <br />34.26 <br />30 <br />984.53 <br />83.97 <br />40 <br />233:57 <br />7.01 <br />40- <br />- 635.93 <br />;35.18 <br />1.40. <br />1993.12 <br />85.43 <br />50 <br />291.92 <br />7.43 <br />•.50 <br />-644.37` <br />'36.12- <br />.50- <br />1001.7 <br />86.90 <br />6 <br />3N. 2L <br />7.80. <br />13 <br />552.81- <br />37.07" <br />20 <br />1010.3 <br />88.39 <br />10 <br />308.64 <br />8.81 <br />10 <br />GG1:25 <br />38.03 <br />10 <br />.1018.9 <br />89.89 <br />'20 <br />316`.99 <br />8.76 <br />- 20 <br />GG9.70 <br />39.01 <br />20 <br />1027.5. <br />91.40 <br />- 30 <br />325.35 <br />9.23 <br />30 <br />G78.15 <br />39.99 <br />30 <br />1036.1" <br />92.92 <br />--40 <br />333.71 <br />9.71 <br />40 <br />68G.60 <br />'40.99 <br />40 <br />1044.7 <br />94:46 <br />-50 <br />•'342;08 <br />10.20 <br />-50 <br />695.06 <br />-42. 00' <br />50 <br />1053:3 <br />96.01 <br />7 <br />350.44 <br />10.71 <br />14 <br />703.51 <br />' 43.03 <br />21 <br />1051.9 <br />411.1 <br />:10. <br />358.81 <br />_ 1L.22 <br />-10 <br />711.97 <br />44.07 <br />10 <br />1070.6 <br />.97.57 <br />OD. 16 <br />'20, <br />. 367.1: <br />11.75 <br />20. <br />•720,44 <br />45.12 <br />20 <br />3079:2 <br />100.75 <br />- .30 <br />375:54 <br />12.20 <br />30 <br />726.90 <br />46.18 <br />-30 <br />1087.8-- <br />102,35 <br />- 40 <br />'333.91 <br />12.85 <br />-. 40 <br />`737.37 <br />47.25 <br />'40. <br />1006.4-103.97 <br />425.0 <br />50 <br />392.28 <br />- 13.41 <br />- ' '50 <br />"745:85 <br />-48.34- <br />--.50- <br />1105.1 <br />1.105.00 <br />Correctionatobe Added-(T=Tangent. E AExternaL) <br />let <br />AnileCurve 5° <br />Augle <br />100 <br />15° 20° 25° <br />30° <br />.35° <br />'40° 45° <br />50° 55° <br />60- <br />551, 60' 651 70° <br />7 <br />50 T=.02.- <br />.03 <br />.05 .06 .08 <br />.10 <br />.11 <br />'.13 '.15 <br />.16 .18' <br />294.9 <br />10' <br />23 <br />E =.000 <br />.000 <br />.001 .001 .002 <br />.002 <br />.002 <br />.003 .003 <br />.004 .004 <br />,.20 <br />.004 <br />F <br />.005 <br />10° T =.03' <br />.O6 <br />-.09 .18 .10' <br />.19 <br />.22 <br />.25 .29 <br />.31 .84 <br />.88 <br />1-12.25 <br />.48E=.001. <br />1508.5 <br />,003 <br />.004' • .W6 .007 <br />.008 <br />.W9 <br />,011 .012 <br />.014 .015 <br />,017 <br />40 <br />..020 <br />T=.04 <br />10 <br />'.14 .19 24 <br />.29 <br />34 <br />39 45' <br />S1 .53 <br />.58 <br />1526.3 <br />BB <br />E =.003' <br />.007 <br />.010 .014 .018 <br />.023 <br />:.027 <br />.029 .032 <br />.035 .039 <br />.043 <br />. <br />.051 <br />200 - T=.06 <br />.13 <br />.19 .26 .32 <br />.39 <br />.45 <br />.51 .58 <br />.65- .72 . <br />.79 <br />.84 <br />90 <br />E=.W6 <br />.011 <br />.017 .022 .028 <br />.034 <br />.038 <br />.045 .051 <br />.057 .003 <br />-.070 <br />.0761"•_083 <br />318.1 <br />25° ,. T =A8 <br />11 <br />.24 .33 .40 <br />49 <br />58 <br />.67 .75 <br />.83 .90 <br />.99 <br />1.08 <br />1.14 <br />R- <br />0181 <br />:027 .036 .046 <br />.050 <br />.055 <br />.074 .083 <br />.093 .106 <br />.120 <br />.127 <br />:135 <br />TABLE I. - Tangents•and Externals to a 1° Curve. <br />Chord =100 it. <br />Int.' Tangent External Int" Tangent External An t. Tangent External <br />Angle.:.. _ .. Angie <br />Corrections to be Added (T= Tangent. E=External.) <br />Int. <br />Angle <br />G•ur°e5° 10° <br />15°• <br />20° <br />251 <br />30° <br />Angle <br />45° 50° <br />551, 60' 651 70° <br />20° <br />-1113.7 <br />107.24 <br />29°• <br />1481.9 <br />188.51 <br />36° <br />1861.7 <br />294.9 <br />10' <br />.1122.4 <br />108.90 <br />10' <br />1490.7 <br />190.74 <br />10' <br />1870.9 <br />297.7 <br />20- <br />1131-0• <br />110.,7• <br />-20 - <br />1499.6 <br />192.09 <br />20 <br />1880.1 <br />300.6 <br />:.30 ?7-1.139.7 <br />E .009 .018 <br />1-12.25 <br />30 <br />1508.5 <br />105.25 <br />30 <br />1889:4 <br />303.5 <br />-40 ' <br />°1148.4 <br />113.95 <br />40 <br />1517.4 <br />197.53 <br />40 <br />1898.6_ <br />306.4 <br />511' <br />1157.0 <br />115.G6 <br />50 <br />1526.3 <br />199.82 <br />50 <br />1907.0 <br />309.3 <br />23 <br />-115.5 - .7 <br />117.38 <br />30,- <br />1535.3 <br />202.12 <br />37 <br />1917.1 <br />312.2 <br />- 10 <br />1174,4 <br />119.12 <br />10 <br />1544.2 <br />204.44 <br />10 <br />1926.4 <br />315.2 <br />20 <br />1183.1• <br />120:87 <br />20 <br />1553.1 <br />206.77 <br />20 <br />1935.7 <br />318.1 <br />..30 <br />1191:8 <br />122,03 <br />30 <br />1562.1 <br />209.12 <br />30 <br />1945.0 <br />321.1 <br />- ,40 <br />1200.5 <br />124.41 <br />40 <br />1571.0 <br />211.48 <br />40 <br />1954.3 <br />324.1 <br />50 ' <br />t <br />1209.2 <br />' <br />.120,20 <br />.50 <br />1580.0 <br />213.86 <br />50 <br />1963.6 <br />327.1 <br />_ <br />24 <br />1217.9 <br />128.00 <br />31. <br />1589.0 <br />216.3 <br />3S <br />1972.9 <br />330.2 <br />10 <br />,-1226.6 <br />129.82 <br />10 <br />_1598.0 <br />218.7 <br />10 <br />1982.2 <br />333.2 <br />20 <br />,1235.3. <br />131.65 <br />20 <br />•1606.9 <br />.221.1 <br />20 <br />1991.5 <br />-336.3 ' <br />r3D <br />12449 <br />133.50- <br />30 -:1615.9 <br />223.5: <br />_ 30 <br />2000.9 <br />.339.3 <br />' <br />40 <br />,1252.8' <br />135.35• <br />40 <br />1624.9 <br />226.0' <br />40 <br />2010.2 <br />342.4 <br />50 <br />1261.5 <br />137.23 <br />50 <br />1633.9 <br />228.4 <br />50 <br />2019.6 <br />345.5 <br />26 <br />•_1270.2- <br />139:11 <br />-32 <br />1643.0 <br />230.9 <br />392029.0 <br />348.6 <br />10 <br />.1279.0 <br />141.01 <br />10 <br />1052,0 <br />233.4 <br />10 - <br />2038.4 <br />351,8 <br />20 <br />1287.7 <br />142.93 <br />20 <br />1661.0 <br />235.9 <br />20 <br />2047.6. <br />354.9 <br />30 <br />1296.51445 <br />.8 <br />.30 <br />1670.0 <br />238.4 <br />30 <br />2057.2 <br />358.1 <br />40 <br />I305.3, <br />.146.79 ` <br />:-40 '- <br />1679.1 ' <br />241.0 <br />40 <br />2666.6 <br />3G1.3 <br />50 <br />1314. 0, <br />148.75 <br />50 <br />1688.1' <br />243.5 <br />50 <br />2076.0 <br />364.5 <br />20 <br />1322.8 <br />150.71 <br />33 <br />1697.2 <br />246.1 <br />40 <br />2085.4 <br />-367.7 <br />10 <br />1331.0 <br />152,69 <br />30 <br />170G.3 <br />248.7 <br />10 <br />2094.9 <br />'.371.0 <br />-20 . <br />1340.4 <br />154:69 <br />20 <br />1715.3' <br />251.3 <br />20 <br />2104.3 <br />374.2 <br />30 <br />1349.2 <br />156:70 <br />30 <br />1724.4 " <br />253.9" <br />30 <br />2113.6 <br />377.5 <br />40 <br />1358.0 <br />158.72 <br />40 <br />- 1733.5 <br />256.5 <br />40 <br />2123.3 <br />.380.8 <br />50 <br />1306.8•- <br />160,76' <br />50. <br />1742.6 <br />259.1• <br />50 <br />2132.7 <br />384.1 <br />27 <br />1375.6' <br />162.81 <br />34 <br />1751.7 <br />261.8 <br />41 <br />2142.2 <br />- 387.4 <br />10 <br />1384.4 <br />164.86 <br />10 <br />1760.8 <br />264.5 <br />10 <br />2151.7 <br />390.7 <br />20 • <br />1393.2 <br />166.95 <br />- .20 <br />1770.0 <br />267.2 <br />20' <br />2161.2• <br />394.1 <br />30 <br />1402.0 <br />4169.04 <br />30 <br />1779.1 <br />269.9 <br />30 <br />2170:8 <br />-'397.4 <br />40 <br />1410.9. <br />171.15 <br />:40 <br />1788.2 . <br />272.6 <br />40 <br />2180.3' <br />400.8 <br />50 <br />1416-7- <br />173,27' <br />50 <br />1797.4 <br />275.3 <br />50 <br />2180 9 <br />404.2 <br />28 <br />1428.6 <br />175.41 <br />35 <br />.1806.6 <br />278.1 <br />42 : <br />2199.4 <br />407.6 <br />10 - <br />1437.4 <br />177.55 <br />10 <br />1815.7 <br />280.8 <br />-•10 <br />2209.0 <br />411.1 <br />20 <br />1446.3. <br />179.72 <br />20 <br />1824.9 <br />283.6 <br />.20 <br />2218.8 <br />414.5 <br />30 <br />1455.1 <br />181.89- <br />30 <br />1834.1 <br />286.4 <br />30 <br />2228.1 <br />418.0 <br />40 <br />1464.0 <br />184.08 <br />_ _ <br />40 - <br />1843.3 <br />_289.2 <br />40 <br />2237.7 <br />421.4 <br />50 <br />1472.9• <br />186.29 <br />50: <br />1852.5 <br />292.0• <br />50 <br />2247.3 <br />425.0 <br />Corrections to be Added (T= Tangent. E=External.) <br />Int. <br />Angle <br />G•ur°e5° 10° <br />15°• <br />20° <br />251 <br />30° <br />351 40° <br />45° 50° <br />551, 60' 651 70° <br />20° <br />T=:06 .13 <br />.19 <br />•.26 <br />.32 <br />.39 <br />.45 .51 <br />58 M <br />.72 :79 .84 .90 <br />R=.000 '.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />'.038 .W5 <br />.051 .057 <br />.063 .070 .070 .033 <br />251 <br />T=M .16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.53 ,.67 <br />.75 .83 <br />.90 .99 1.06 1.14 <br />E .009 .018 <br />.027 <br />..036 <br />.046 <br />.056 <br />.055 .0, <br />.053 .093 <br />.106 .120 .127 .135 <br />$00., <br />T=.10 - .19 <br />.29 • <br />.39..49' <br />.59 <br />.69 .79 <br />.E9 .99 <br />1.09 1.20 1.29 1.39 <br />E=.013 .025 <br />.038 <br />.051 <br />.065 <br />.078 <br />.090 .103 <br />.118 A29 <br />.149 .170 .179 .188 <br />o <br />T=.11' 22 <br />.34 •..47 <br />`.58: <br />.69 <br />.BO .03 <br />1.05 1.I7 <br />1.29. 1.42 1.54 1.GB <br />E--.018 .035 <br />.054 <br />.072 <br />.086 <br />.109 <br />.131 .153 <br />.175 .197 <br />.213 .230 247 .264 <br />40° <br />T=:13 .20 <br />.40 <br />.53 . <br />.67 <br />.80 <br />93- 1.06 <br />1.20 1.34 <br />1.49 1.64 1.79 1.94 <br />E=.023 .046 <br />T=.15 .30 <br />.070 <br />.093 <br />.117 <br />-.1411 <br />.172 .203 <br />.234 .265 <br />.277 .290 .315 .341 <br />45° - <br />.44 . <br />60 <br />.76 <br />..91 <br />1.00 1.21 <br />1.37 1.52 <br />1.70 1.87 2.04 2.21 <br />E=.030 .060 <br />.093 <br />..1I9 <br />.153 <br />..184 <br />.210 .254 <br />280 .325 <br />.351 .378 .411 .445 <br />