Laserfiche WebLink
II TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord =100 f t. <br />Int. <br />Angle <br />Tangent <br />. <br />External <br />. Int. <br />-Angle• <br />- <br />Tangent <br />External <br />Int. <br />+Angle <br />Tangent <br />External <br />1• <br />50.00 <br />•x.•-'.22 <br />8' <br />40066 <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 />r •20 <br />771.29 <br />51.68 <br />30 <br />75.01 <br />C•-:49', <br />;30 <br />425.79. <br />,_ 15.80 <br />e;: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. +'100.01 <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 />-101 <br />813.75 <br />57.50 <br />20'. <br />116:68 <br />1.19: <br />'20 <br />467:71 <br />19.06 <br />2V- <br />. 822:25" <br />58.70 <br />. 30 <br />125.02 <br />-• 1:36• <br />-30 ' <br />'476.10 <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 />S <br />150.04 <br />1.96 <br />10 <br />501:28 <br />'21.89'' <br />17 <br />856.30 <br />63.63 <br />1011 <br />158.38 <br />2.19 <br />10 <br />509.68 <br />.122.62 <br />10 <br />.'864.8264.90 <br />333.2 <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 />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 />543.20 <br />25.70 <br />50 <br />898.95 <br />70.09 <br />4 <br />200.08 <br />3.49 <br />11' <br />=5511:70 <br />.' 26.50• <br />18 <br />907:49% <br />71.42 <br />10 <br />208.43 <br />3.70 <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 />A2 <br />:30.,.576.95 <br />1670.0 <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 r <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 />13652.81 <br />1751.7 <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 />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 />333.91 <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 />IntC. 5° <br />Angle <br />10° <br />15° <br />20° <br />'25°. <br />30°` 35` <br />40° <br />45° 50° <br />55° <br />60° <br />65° <br />70° <br />5° T=.02 <br />.03 <br />.05 <br />.06 <br />1.08 <br />.10 .11 <br />.13 <br />.15 .16 <br />.18 <br />.20 <br />.21 <br />23 <br />E=.000 <br />.000 <br />.001 <br />.001 <br />.002 <br />_.002 .002 <br />.003 <br />.003 .004 <br />.004 <br />.004 <br />.005 <br />.005 <br />10° T=.03 <br />.06 <br />.09 <br />.13 <br />'.16 <br />.19 .22 <br />.25- <br />.28 .31 <br />.34 <br />.38 <br />.42 <br />.46 <br />E=•001 <br />.003 <br />.004 <br />.006 <br />.007 <br />.008 .009 <br />.011 <br />.012 .014 <br />.015 <br />.017 <br />.018 <br />.020 <br />15° T=.04 <br />.10 <br />.14 <br />.19 <br />.24 <br />.29 -.34 <br />.39 <br />.45 .51 <br />.53 <br />.58 <br />.63 <br />.68 <br />E=.003 <br />.007 <br />.010 <br />.014 <br />.018 <br />.023 .027 <br />.029 <br />.032 .035_ <br />.039 <br />.043 <br />.047 <br />.051 <br />20° T=.06" <br />.13 <br />-19 <br />.26 <br />.32 <br />.39 .45 <br />.51 <br />.58 .65: <br />.72 <br />79 <br />.84 <br />.90 <br />E=.00G <br />.011 <br />.017 <br />.022 <br />.028 <br />.034 .038 <br />.045 <br />.051 .057 <br />.063 <br />.070 <br />..076 <br />'.083 <br />28o T=.08 <br />16 <br />.24 <br />33 <br />.40 <br />.49 .58.83 <br />' .: 50 <br />11963.6 <br />.90 <br />.99 <br />1.06 <br />1.14 <br />E=.009 <br />.018 <br />.027 <br />.036 <br />.046 <br />.056 .065 <br />.074 <br />.083. .093 <br />.106 <br />.120 <br />. <br />.135 <br />,TA11LE-I: -;Tangents and Externals to'a 1* Curve. III <br />Chord =100 ft. <br />Int:I <br />Angle <br />Tangent <br />External` <br />Int. <br />.Angle - <br />Tangent <br />' " <br />External, <br />Int. <br />Angle <br />Tangent <br />External <br />22° <br />1113:7 <br />107.24 <br />29°, <br />1481.8 <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 />110.57 <br />'• 20 <br />1499.6 <br />192.99 <br />i'20 <br />1880.1 <br />.300.6 <br />30 , <br />1139:7 <br />112.25 <br />i :30 : <br />1508.5 <br />195.25 <br />30 <br />'1889.4 <br />-303.5 <br />40 <br />"1148.4 <br />113.95 <br />w+.•_40 <br />1517[4 <br />197.53 ', <br />40 <br />1898.6, <br />'306.4 <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 />11G5.7 <br />117.38 <br />30 '' <br />1535:3 <br />202.12 <br />37 <br />1917.1 <br />312.2 <br />10 <br />11174:4 <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 l <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 />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 />1• ; 50 <br />1580.0 <br />213.86 ' <br />' .: 50 <br />11963.6 <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 />1G24.9 <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 />-.150 <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 i <br />4287:7 <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 />j -30 <br />1670.0 <br />238.4 <br />30 <br />2057.2 <br />358:1 <br />40 ;41305.3 <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 />4322:8 <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 . <br />1375.6 <br />162.81 r <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 />3393:2 <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 />141019 <br />171.15 <br />•'40 1 <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 />Int. e <br />Angie <br />- CUM 5°. <br />10° <br />150 <br />20° <br />25° <br />30° <br />35° <br />400 <br />45° <br />50° <br />55° <br />60° <br />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 />.65.72 <br />:79 <br />.84 <br />.90 <br />E=.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 />25° <br />T=.08 <br />.16 <br />.24 <br />.33 <br />.40 <br />.49 <br />:58 <br />'.67 <br />.75 <br />.83.90 <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 />30o <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 />U= .0181 <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 />40° <br />T=•13 j <br />..28 <br />.40 <br />..53 <br />7 <br />.67 <br />.80 <br />..93 <br />1.08 <br />1.20 <br />1.34 .1.49 <br />1.64 <br />1.79 <br />1.94- <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=:151 <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 />.184' <br />.216 <br />.254 <br />'.289 <br />.325 <br />.351 <br />.378 <br />.411 <br />.445 <br />