Laserfiche WebLink
II TABLE I. - Tangents and Externals to a 10 Curve. <br />Chord =100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Ingle ; <br />Angle <br />Tangent <br />External <br />- <br />Int. <br />.Angle <br />Tangent <br />External <br />1. <br />50.00 <br />_ -22 <br />�8- <br />400'.66` <br />',13.96 <br />15° <br />754.32 <br />49.44 <br />10' <br />58.34 <br />.30 <br />10' <br />409.03- <br />14.58 <br />10' <br />762.80 <br />-50.55. <br />20 <br />68.67 <br />:39^ <br />-- .20• <br />-417.41-•:, <br />15:18 <br />20 <br />771.29 <br />51.68 <br />30 . <br />75.01 <br />=-:49-.%i <br />30. <br />.425.79: <br />_; 15:80 <br />'_ c: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 />788.26 <br />53.97 <br />50. <br />91.68 <br />-.73_ <br />..x.50 <br />442.55. <br />17.07., <br />50 <br />796.75-:.55.13 <br />.68 <br />.051 <br />2 .. <br />100.01... <br />`.:87 <br />9 ` <br />'450 r93. <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 />10 <br />16 .24 :.33 .40 .49 .58 <br />57.50 <br />^0' <br />118168 <br />1.19 <br />20, <br />467771 <br />•:_19.06= <br />20 <br />_813:75 <br />822.25 <br />58.70 <br />30125.02•,. <br />+1191.8 <br />.1:36 <br />-30_. <br />476:10";;19:75 <br />209.12 <br />30 <br />830:76;' <br />59.91 <br />-- 40 .' <br />" <br />133.36 <br />1:55. <br />_.-_ 'X0 , <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 />' 21.16 <br />50' <br />847.78.' <br />62.38, <br />:24.1 '•1217.9 <br />150.04 <br />=1.96 <br />10 '. <br />501:28 <br />21.89 <br />17 - <br />856:30 <br />63.63 <br />_ 30 ', <br />. 158.38 <br />9:- <br />` ; 2:1' <br />:. % 10 <br />`509.68• <br />.22:62 ` <br />- 10 - <br />:864.82 <br />64.90 <br />.20 <br />166.72 <br />2.43 <br />20 <br />'518.08 <br />23.38•. <br />.."_ 20 <br />873.35,•..66:18: <br />336.3 <br />30 <br />175.06 <br />2.67 <br />30 <br />..,526.48 <br />.,24.14 <br />._ <br />30 <br />881.88 <br />67.47 <br />40 <br />183.40 <br />2.93 <br />40', <br />2534.89. <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 />4 <br />_-200.08 <br />'�r 3.`49 <br />11�` <br />.551.70 <br />-` 26.50 <br />18 '- <br />907.49 <br />71.42 <br />10 <br />208.43 <br />3.79 <br />10 <br />560.11 <br />27.31 <br />.10 <br />2038.4 . <br />72.76 <br />20 <br />216.77 <br />4:10 <br />20 <br />568.53 <br />28.14 <br />,..916.03 <br />20 <br />924.58 <br />74.12 <br />30 <br />225.12 <br />4.42 <br />'1' 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 />,-30'. <br />- •40 <br />941.69 <br />76.86 <br />50 <br />241.81 <br />5.10 <br />50- <br />593.79 <br />30.68' <br />50 <br />950.25 <br />78.26 <br />5 <br />250.16 <br />5.46 <br />12 <br />602.21- <br />'31.56 <br />19 <br />958.81 <br />79.67 <br />10 <br />258.51 <br />.5.83 <br />10 <br />610.64 <br />32.45 <br />10 <br />067.38' <br />81.09 <br />20 <br />266.86_ <br />6.21 <br />20 <br />•619.07 <br />33.35 <br />20 <br />2104.3 <br />82.53 <br />30 <br />275.21 <br />.6.61 <br />30 <br />.627.50 <br />-34.26 <br />,30 <br />,975.96 <br />-984.53 <br />83:97 <br />40 <br />283.57 <br />7M^ <br />40' <br />635.93" <br />35.18 <br />'40 <br />993.12 <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 />300.28. <br />„ 7.86 <br />13 <br />. 652.81. <br />37.07 <br />20 <br />1010.3. <br />88.39 <br />10 <br />308.64 <br />8.31 <br />- 10 <br />661.25 <br />38.03 <br />10• <br />-1018.9 <br />89.89 <br />20 <br />•316.99 <br />8.76 <br />20 <br />. 669.70 <br />39.01, <br />20 <br />1027.5 <br />01.40 <br />30 <br />1402-0 <br />9.23 <br />30' <br />` 678.15 <br />39.99 <br />30 <br />_ <br />1036.1 <br />92.92. <br />40 <br />_325.35 <br />333.71' <br />9:71 <br />40. <br />686.60 <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 />1061.9 <br />97:57 <br />10 <br />358.81 <br />'367.17 <br />11.22 <br />.10- <br />711.97 <br />44.07 <br />10 <br />1070.6 <br />99.16 <br />20 <br />1446.3 <br />11.75 <br />20 <br />:720.44 <br />45.12 <br />20 <br />1079.2 <br />100.75 <br />30 <br />'37,5 54 <br />12.29 <br />30 <br />. 728.90 <br />46.18; <br />301 <br />1087.8 ^ <br />-102.35 <br />40 <br />393.91 <br />12.85 <br />40 <br />737.37 <br />47.25. <br />40 <br />1096.4 <br />103.97 <br />50 <br />392.28 <br />13.41 <br />50 <br />-745.85 <br />48:34 <br />50 <br />1105.1 <br />105.60 <br />Corrections to be Added (T = Tangent. E = External.) <br />Int. <br />Tangent <br />External <br />sje <br />Tangent <br />External <br />"Angle <br />Angle <br />Curve 5° <br />10° 15° 20° 25° 30°' ''35'. <br />40° <br />55° 60° <br />65° <br />70° <br />188.51 <br />36° ' <br />1861.7 <br />294.9 <br />.7 101 <br />1122.4 <br />108.90 <br />5. <br />T=:02 <br />.03 .05 -06 -08 .10 .11 <br />.13 .le <br />.18 <br />297.7 <br />t.1 20 <br />:1131:0. <br />E=.000 <br />.000 .001 .001 .002,..002 .002 <br />.003 .004 <br />.20 <br />.004 .004 <br />.21 <br />.005 <br />.23 <br />.005 <br />loo <br />T=.03 <br />.06 ..09 .,:13 .16 .19 .22 <br />LS'50° <br />.25 :.31 <br />30 <br />3508.5 <br />'.46E=.001 <br />-30 <br />1889.4 <br />.003 .004 .006 .007 .008 .009 <br />.011 :014 <br />.34 .38 <br />.015 .017 <br />.42 <br />.018 <br />.020 <br />1517.4 <br />04 <br />.10 ..14 .19 .24 .29 .34 <br />39.51 ' <br />306.4 <br />,1148.4 <br />50 <br />1157.0. <br />115.66 <br />E =.003 <br />..007 .010 .014 .018 .023 .027 <br />.029 .035 <br />J3 .58 <br />.039 .043 <br />.63 <br />.047 <br />.68 <br />.051 <br />2po�T <br />=.06 <br />13 .19 .26 .32 39 .45 <br />.51 .58 .65 <br />.72 :79 <br />202.12 <br />37 <br />.1917.1 <br />E=:006 <br />.011 .017 .022 .028 .034 .038 <br />.045 .051 057 <br />.063 .070 <br />.84 <br />.076 <br />.90 <br />.083 <br />25oj <br />T=.08 <br />16 .24 :.33 .40 .49 .58 <br />.67 .75 .83 <br />.90 .99 <br />1.06 <br />1.14 <br />:..20 <br />E=.009 <br />.018 .027 .036 .046 .056 .085 <br />.074 .083 .093 <br />.106 .120 <br />.127 <br />.135 <br />.TABLE J. -_Tangents and Externals to a-10*Curve.. III <br />Chord =100 f t. <br />Int. _ . <br />Angle . <br />Tangent <br />External <br />sje <br />Tangent <br />External <br />"Angle <br />Tangent <br />External <br />122°.= •,•`1113..7 <br />50° <br />107.24 <br />29° - <br />1481.8 <br />188.51 <br />36° ' <br />1861.7 <br />294.9 <br />.7 101 <br />1122.4 <br />108.90 <br />10' <br />1490.7 <br />190.74 <br />10' <br />1870.9 <br />297.7 <br />t.1 20 <br />:1131:0. <br />110.57 <br />."•20 <br />1499.6 <br />192.99 <br />20 <br />1880.1 <br />300.6 <br />li.: 30 <br />1139.7 <br />112.25 <br />30 <br />3508.5 <br />195.25 <br />-30 <br />1889.4 <br />303.5 <br />40 <br />T-_.08 <br />113.95 <br />40 <br />1517.4 <br />197.53 <br />..'40 <br />1898.6 <br />306.4 <br />,1148.4 <br />50 <br />1157.0. <br />115.66 <br />:'..50 <br />1526:3 <br />199.82 <br />50 <br />1907.9 <br />.309.3 <br />23_,' , <br />1165:7 <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 />122.63 <br />_30 <br />1562.1 <br />209.12 <br />'30 <br />1945.0 <br />321.1 <br />.i 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 />1209.2 <br />126.20 <br />_ <br />:.'50 <br />1580.0 <br />213.86 <br />50 <br />1963.6 <br />:327.1 <br />:24.1 '•1217.9 <br />1.54 <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 />'0.'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 />1..30 <br />4244:0 <br />133.50 <br />30 <br />1615.9 <br />223.5 <br />'30 <br />2000.9 <br />1339.3 <br />40 - <br />4252.8 <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 />25- <br />1270.2 <br />139.11 <br />.32' <br />1643.0 <br />230.9 <br />39' <br />2029.0 <br />348.6 <br />101279.0 <br />E=.030 <br />141.01 <br />10 <br />1652.0 <br />233.4 <br />10 <br />2038.4 . <br />351:8 <br />20 l <br />1287.7 <br />142.93 <br />20 <br />1661.0 <br />235.9 <br />20 <br />2047.8 <br />354.9 <br />30 ' <br />1296.5 <br />144.85 <br />30 <br />1670.0 <br />238.4'. <br />30 <br />2057.2 <br />358.1 <br />40 <br />4305:3. <br />146.79 <br />..40 <br />1679.1. <br />241.0 <br />40 <br />2066.6 . <br />361.3 <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 />'26: ' <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 />1331.6 <br />152.69 <br />�10 <br />1706.3 <br />24817 <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 />1:30 <br />1349.2 <br />156.70 <br />30 <br />1724.4 <br />253;9 <br />30 <br />2113.8 <br />377.5 <br />1358.0 <br />158.72 <br />40 <br />1733.5 <br />256:5 <br />40 <br />2123.3 <br />380.8 <br />.40 <br />50 <br />1366:8: <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 />466.95 <br />20 <br />1770.0 <br />267.2 <br />`20 <br />2161.2 <br />.394.1 <br />-,30 <br />1402-0 <br />169.04 '• <br />: 30 <br />1779.E <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 />1419.7 ' <br />173.27 <br />50 <br />1797.4. <br />275.3 <br />.._50 <br />2189..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 />2218.6 <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 />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 />Angle <br />Curve P. <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />1 65° <br />70° <br />200' <br />T=:06 <br />:13 <br />.19 <br />, .26. <br />:32 <br />.39 <br />.45 <br />.51 <br />.58 <br />65 <br />.72 <br />.79 <br />.84 <br />-.90 <br />F,=.006 <br />:011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.045 <br />.051 <br />:057 <br />.063 <br />:070 <br />.076 <br />.083 <br />25o <br />T-_.08 <br />:16 <br />.24 <br />.33 <br />.40 <br />.49 <br />.58 <br />.67 <br />.75 <br />83 <br />.90 <br />.99 <br />1.06 <br />1.14 <br />E=.009 <br />.018 <br />.027 <br />.036 <br />.046. <br />.056 <br />.065 <br />:074 <br />.083 <br />.093 <br />.106 <br />.120 <br />.127 <br />.135 <br />30° <br />T=.10 <br />.19 <br />.29 <br />.39 <br />.49 ..59 <br />.69c <br />79 <br />.89 . <br />_.99- <br />1:09 <br />1.20, <br />1.29 <br />1.39 <br />E=.013 <br />.025 <br />.038 <br />.051 <br />.065 <br />.078 <br />.090 <br />103.,.116 <br />.129 <br />.149 <br />.170 <br />.179 <br />.188 <br />35° <br />T=.11 <br />.22 <br />.34 <br />.47 <br />.58 <br />:69 <br />.80 <br />.93 <br />1.05 <br />1.17 <br />1.29 <br />1.42 <br />1.54 <br />1.66 <br />E=.018 <br />.035 <br />.054 <br />.072 <br />.086 <br />.109 <br />.131 <br />.153 <br />.175 <br />.197 <br />.213 <br />.230 <br />.247 <br />.264 <br />qpo <br />T=.13 <br />.26 <br />.40 <br />.53 <br />.67 <br />.80 <br />.03 <br />1.08 <br />1.20 <br />1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />E =.023 <br />.016 <br />.070 <br />.093 <br />.117 <br />.141 <br />.172 <br />.203 <br />.234 <br />.265 <br />.277 <br />.290 <br />.315 <br />.341 <br />45° <br />T=:15' <br />30 <br />'.44 <br />.60 <br />.76 <br />.91 <br />1.06 <br />1.21 <br />3.37 <br />1.52 <br />1.70 <br />1.87 <br />.21 <br />- <br />E=.030 <br />.060 <br />.093 <br />.119 <br />:153 <br />.184 <br />.216 <br />.254 <br />.289 <br />.325 <br />.351 <br />.378 <br />12:1412 <br />41 <br />.445` <br />�I <br />