Laserfiche WebLink
II TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord =100 ft. <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />+ Int. <br />Tangent <br />External <br />1. <br />50.00 <br />'.22 <br />8° <br />400.66 <br />'13.99 <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 />66.67 <br />89-. <br />;20' <br />417.41 <br />15.18 <br />20 <br />771.29 <br />51.68 <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 />788.26 <br />53.97 <br />60 <br />91.68 <br />,.73 <br />. 50 <br />442.55 <br />17.07. <br />-50. <br />796.75- <br />55.13 <br />2' <br />100.01 <br />.87 <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 />10 <br />813.75 <br />57.50 <br />20 <br />116.68 <br />1.19 <br />20 <br />467.71 <br />'19.06 <br />20 <br />822.25 <br />" 58.70 <br />30 <br />.125.02 <br />1.36 <br />30 <br />47610 <br />19:75 <br />30 <br />830.76 <br />"59.91 <br />40 <br />133.36 <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 />21.16 <br />50 <br />847.78 <br />62.38 <br />"3 <br />150.04 <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 />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 <br />86:18 <br />30 <br />175.06 <br />2.67 <br />30 <br />526.48 <br />24.14 <br />30 <br />881.88 <br />67.47 <br />40 <br />183.40 <br />2.93 <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 />4 <br />' 200.08 <br />3.49 <br />11 <br />''S51.'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 />916.03, <br />72.76 <br />20 <br />216.77 <br />4.10 <br />20 <br />568.53 <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 />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 />967.38 <br />81.09 <br />20 <br />266.86 <br />•,.`-6.21 <br />•20 <br />.619.07 <br />33.35 <br />20 <br />975.96 <br />82.53 <br />30 <br />275.21 <br />- 6.61. <br />.30. <br />627.-50 <br />34.26 <br />30 . <br />984.53 <br />83.97 <br />40 <br />283.57 <br />7.01 <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 />601125 <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 />91.40 <br />30 <br />325.35 <br />9.23 <br />30 <br />678:15 <br />39.99. <br />30 <br />1036.1 <br />92.92 <br />40 <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 />11.22 <br />10- <br />711.97 <br />44.07 <br />10 <br />1070.6 <br />99.16 <br />20 <br />367.17 <br />11.75 <br />20 <br />:720.44 <br />45.12 <br />20 <br />1079.2 <br />100.75 <br />30 <br />375.54 <br />12.29 <br />30 . <br />728,90 <br />-..46.18 <br />30 <br />1087:8' <br />102,35 <br />40' <br />383.91 <br />12.85 <br />40 <br />737.37 <br />•47.25 <br />40 <br />1096.4 <br />421.4 <br />50 <br />392.28 <br />13.41 <br />50 <br />-745.85 <br />48.34 <br />50 <br />1105.1 <br />.103.97 <br />105.60 <br />Corrections to be Added (T =Tangent. E = External.) <br />Int <br />Angle <br />Curve So <br />10° 15° 20° 25 30° <br />35°+ <br />40° 45° 50° 1 55° 1 60° <br />65° <br />700 <br />5. <br />T=.02 <br />.03 .05 .06 08 .10 <br />.11 <br />:13 .15 .16 .18 .20 <br />.21 <br />.23 <br />188.51 <br />E=.000 <br />.000 .001 .001 .002 .002 <br />.002 <br />.003 '.003 .004 .004 .004 <br />.005 <br />.005 <br />loo <br />T=.03 <br />.06 .09..-.13 .16 .19 <br />.22 <br />.25 .28 .31 .34 .38 <br />.422--.46- <br />. <br />1131.0 <br />E=.001 <br />.003 .004 .006 .007 .008 <br />.009 <br />.011 .012 .014 .015 .017 <br />.018 <br />.020 <br />15° <br />T=.04 <br />.10 .14 .19 .24 .29 <br />.34 <br />.39 .45 .51` .53 .58 <br />.63 <br />:68 <br />30 <br />E =.003 .. <br />.007 -.010 .014 .018 .023 <br />.027 <br />.029 .032 .035 .039 .043 <br />.047 <br />.051 <br />20o <br />T=.08 <br />.13 .19 .26 .32 .39 <br />.45 <br />.51 .58 .65, .72 79 <br />.84 <br />'.90 <br />115.66 <br />E =.006 <br />.011 '.017 .022 .028 .034 <br />.038 <br />.045 .051 .057 .063 .070 <br />.076 <br />.083 <br />25o <br />T=.08 <br />.16 .24, 33 .40 .49 <br />.b8 <br />.87 .75 ;.83 .90 .99 <br />1.06 <br />1.14 <br />1917.1 <br />E =.009 <br />.0181 .027 .036 .046 .056 <br />.085 <br />.074 .083 .093 .106 .120 <br />:127 <br />.135 <br />TAniE I. - Tangents and Externals to a 1° Curve. III <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 />I <br />Tangent <br />External <br />22° <br />3113.,7 <br />107.24 <br />29° <br />1481.8' <br />188.51 <br />366 <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 />110.57 <br />20 <br />1499.6 <br />192.99 <br />:20 <br />1880.1 <br />300.6 <br />30 <br />"1139:7 <br />112.25 <br />�' •'30 <br />1508.5 <br />195.25 <br />30 <br />1889.4 <br />303.5 <br />40 <br />1148.4. <br />113.95 <br />.24 <br />1517.4 <br />197.53 <br />40 <br />1898.6 <br />306.4 <br />50 <br />1157.0 <br />115.66 <br />,40 <br />50 <br />1526.3 <br />199.82 <br />50 <br />1907.9 <br />309.3 <br />.027 <br />11G5.7 ` <br />117.38 <br />30 <br />1535:3 <br />202.12 <br />37 <br />1917.1 <br />312.2 <br />,23 <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 />1945.01 <br />321.1 <br />40 <br />1200.5 <br />124.4140 <br />.170 <br />1571.0 <br />211.48 <br />40 <br />1954.3 <br />324.1 <br />50 <br />1209.2 <br />126.20 <br />50 <br />1580.0 <br />213.86 <br />50 <br />1963.6 <br />327.1 <br />24'.' <br />1217.9 <br />128:00 <br />31 <br />1589.0 <br />216.3 <br />38 . <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 />30 <br />1244.0 <br />133.50 <br />30 <br />1615.9 <br />223.5 <br />30 <br />2000.9 <br />'339.3 <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 />25 <br />1270.2 <br />139:11 <br />32 <br />1643.0 <br />230:9 <br />39 <br />2029.0 <br />348.6 <br />10 <br />.1279.0 <br />141.01 <br />10 <br />1652.0 <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 />2047.8 <br />354.9 <br />30 <br />1296.5 <br />144.8.5 - <br />30 <br />1670.0 <br />238.4 <br />30 <br />2057.2 <br />358:1 <br />`-40 <br />1305:3 <br />146.79 <br />40 <br />1679.1 <br />241.0 <br />40 <br />2060.6 <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 />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 />2113.8 <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 />1366.8 <br />160.76 <br />50 <br />1742.6 <br />259.1 <br />50 <br />2132.7 <br />'384.1 <br />27.1 <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 />169.04 <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 />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 />1455.1181.59 <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 />00 <br />2247.3 <br />425.0 <br />Corrections to be Added (T =Tangent. E=External.) <br />Angle <br />XurveS° <br />-10° <br />15° <br />20° <br />251 <br />30° <br />35° <br />40° 1 <br />45° <br />50° <br />55° <br />60° <br />65° 1 <br />70° <br />20' - <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 />E =.006 <br />.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.035 <br />,045 <br />,051 <br />.057 <br />.063 <br />.070 <br />.076 <br />.083 <br />25° <br />T=.08. <br />.16 <br />.24 <br />.33 <br />.40.49 <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 />.100 <br />.120 <br />.127 <br />.135 <br />300 <br />: T=.10.' <br />.:19 <br />.29 <br />.39 <br />.49 <br />.59 <br />..69 <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 <br />.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 />:OM <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 />=.13 <br />.26 <br />..40 <br />.53 <br />.87 <br />.80 <br />.93 <br />1.06 <br />1.20 <br />1.34 .1.49 <br />1.64 <br />1.79 <br />1.94 <br />E =.023 <br />.046 <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 />1.08 <br />1.21 <br />1.37 <br />1.52 <br />1.70 <br />1.87 <br />2.04 <br />2.21 <br />E=.030 <br />.060 <br />"..093 <br />'.119 <br />.153 <br />.154 <br />..216 <br />.254 <br />.2891'.325 <br />.351 <br />".378 <br />..411 <br />A45 <br />A <br />