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TABLE I. - Tangents -and Externals to a4` Curve• <br />- Chord =160: ft. - ., <br />Int. <br />Angle <br />Tangent <br />... p. -.- <br />External <br />i Int' ...:_1 <br />A ngle <br />- °. <br />Tangent <br />,- -: <br />Eicternal <br />Int: <br />A e, <br />.g <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 />x49.44 <br />10' <br />55.34 <br />-.30 <br />10' <br />-409-.03 <br />14.58 <br />`10' <br />- 762.80 <br />50.55 <br />20 <br />GG. 67. <br />: .39. <br />20 <br />417.41' <br />ii. is <br />- .20 <br />771:29 <br />-51.6S <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 />50- <br />91.68 <br />.73 <br />50 <br />.442.55 <br />17.07 <br />50 <br />7%.75 <br />55.13 <br />$ <br />100.01. <br />.87 <br />9 <br />450:93 <br />17.72 <br />16 <br />805.25 <br />56.31 <br />10 <br />W3. 35, <br />1.02 <br />10 <br />459.32 <br />18.38 <br />40 <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 />476.10 <br />19.75 <br />30 <br />S30:76. <br />59.91 <br />40. <br />133.36` <br />1.55 <br />40 <br />484.49 <br />20.4.5 <br />40 • <br />839.27 <br />_ 61.14 <br />5U <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 />2 1. 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 />66.18 <br />30 <br />175.06 <br />2.67 <br />30 <br />' 8' 526.4 <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: 0S <br />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 />916.03 <br />72.76 <br />20 <br />216.77 <br />4.10 <br />20 <br />568,53 <br />28.14 <br />120 <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 />75.40 <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 />5D <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 />G02.21 <br />31.56. <br />19 <br />955.81 <br />79.67 <br />10 <br />258,51 <br />5.S3 <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 />G27.50 <br />34.26 <br />-30 <br />084.53 <br />83.97 <br />40 <br />283.57 <br />7.01 <br />40 <br />635.03 <br />35.18 <br />40 <br />093.12 <br />-85.43 <br />50 <br />291.92 <br />7.43 <br />50 <br />64.4,.37 <br />36.12 <br />50 <br />1001.7 <br />86.90 <br />6 <br />300.28 <br />-7.80' <br />13' <br />652.81 <br />37,07 <br />20 <br />1010.3 <br />SS.39 <br />10 <br />308:64 <br />8.81 <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 />13 <br />703.51 <br />43.03' <br />21 <br />1061.9 <br />97.57 <br />10 <br />3.58.81 <br />11.22 <br />10 <br />.711.97 <br />44.07 <br />10 <br />1074.6 <br />99.16 <br />20 <br />367.17• <br />_11.75• <br />20720:44 <br />.1824.9 <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 />-46.1S' <br />30 <br />1087.8 <br />418.0 <br />40 <br />383:91 <br />12.85 <br />.40'. <br />737,37 <br />47-.25 <br />40 <br />1096:4 <br />-102.35 <br />193.97 <br />50 <br />392.28 <br />13.41 <br />;50 <br />^745.55 <br />48.34. <br />50 <br />1105.1 <br />105.60 <br />Corrections to be Added (T =Tangent: E=External.) <br />IntI Curve S° <br />Angie <br />10° 15°. 20° 125° <br />30° 35° 40° 45° <br />'50° <br />55° <br />60° <br />65° 70° <br />5° T=M <br />03 .05 .06 08" <br />.10 .11 .13.15 <br />.16 <br />.18 <br />20. <br />.21- :23 <br />F=.000 <br />.000 .001 .001 .002 <br />.002 .002 .003 .003 <br />.004 <br />.004, <br />.004 <br />.005 .005 <br />10a T=.03 <br />.06 .09.13 .16- <br />.19 .22 _.25' .28 <br />,31 <br />.34 <br />.3B <br />42 .46 <br />E =.001 <br />.003 .004 .005 .007 <br />.009 .009 -.011 .012 <br />.014 <br />.015 <br />.017 <br />.018 .020 <br />15° T=.04 <br />.10= .14.19 .24 <br />.29 .34 .39 .45 <br />.51" <br />.53 <br />58" <br />.63 .68 <br />E =.003 <br />.007 .010 .014 .013 <br />.023 .027 .029 .032 <br />.035 <br />.039 <br />.043 <br />.047 .051 <br />ZO° T=.06 " <br />.13 .19 26 .32 <br />.39' .45 '.51 .58 <br />.65 <br />.72 <br />.,.79 <br />.84 .90 <br />E=.000 <br />.011 -017 .022 .028 <br />.034 .038 .045 .051 <br />.057 <br />.063 <br />.070 <br />.07G .04 <br />25° T=.08 <br />.16 .24 .33 .40 <br />.49 .58 .67 :75 <br />.63 <br />.90 <br />.99 <br />1.06 1.14 <br />E =.009 <br />.018 .027 .030 .046 <br />.056 .065 .074 .083 <br />.093 <br />.106 <br />.120 <br />-.127 .135 <br />'TAEI.E�-'Tangents and Esteriials to a 1°'Gnrve <br />Chord=100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Int.- <br />. Angie <br />Tangent <br />External; <br />Int.• <br />Angle <br />•tangent <br />External <br />22° <br />1113:7 <br />;]07:24 <br />29°. <br />1481.8 <br />188.51 <br />360 <br />1861.7 <br />294.9 <br />I(Y <br />4122.4 <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 />'1139x:7, <br />112.2.5 <br />30 <br />1508:5 <br />495.25 <br />30 <br />'1880.4 <br />' 303.5 <br />40 <br />7148.4' <br />113.95 <br />40 <br />1517.4 <br />197.53 <br />40 <br />1898.0 <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 />23.1165 <br />.7 <br />117:38 <br />.30. <br />1535.3 <br />202.12 <br />37 1 <br />1917.11 <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'...•1183.1 <br />. •90 .93 <br />120.87 <br />20 <br />1553.1 <br />206.77 <br />20 <br />1935:7, <br />,'318.1 <br />30 <br />4191.8 <br />122.63 <br />'30 <br />1562.1 <br />209.12 <br />30` <br />1945.0- <br />'321.1 <br />` 40 <br />.26 <br />124.41 <br />40 <br />1571.0 <br />211.48 <br />40 <br />1954.3 <br />'324.1 <br />_'.12U0.5. <br />50 <br />1209.2 <br />126.20 <br />50 <br />1550.0 <br />213.86 <br />t0 <br />1963.6 <br />327.1 <br />24- <br />1217.9 <br />328.00 <br />31. <br />1529.0 <br />216.3 <br />3S <br />,1672.9 <br />330.2 <br />10 <br />.•1226.6 <br />129.82. <br />.• 10 <br />1595.0 <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 />X33.50 <br />30 <br />1615.9 <br />223.5 <br />30 <br />, 2000.9 <br />339.3 <br />40 ;•1252.8 <br />1.35.35 <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 />226.4 <br />50 <br />2019.6 <br />345.5 <br />25 <br />1270.2 <br />139.11 <br />3N <br />1643.0 <br />230.9 <br />30 <br />2029.0 <br />348.6 <br />10 <br />1279.0 <br />141.01 <br />10 <br />1652.0 <br />233.4 <br />10 ''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 />144.85 <br />.30 <br />1670.0 <br />238.4 . <br />30 <br />12057.2' <br />'35S.1 <br />40 <br />1305.3 <br />146.79 <br />'. 40 <br />1.679.1 <br />241.0 <br />40 <br />"2066.6 <br />361.3 <br />50 <br />1314.0, <br />148.75 <br />50 <br />1088.1 <br />243.5 <br />- 50 <br />20',6.0' <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 />"2U <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 />15r, 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 />3733.5 <br />256.5 <br />40 <br />2123.3. <br />380.8 <br />50 <br />1366.8 <br />100.76 <br />50 <br />.1742.6 <br />259.1 <br />50 ,2132.7 <br />384.1 <br />27- <br />1375.61 <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 />17 70. 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.S <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 />59 <br />2159.9 <br />404.2 <br />28 <br />1428.G <br />175.41 <br />35 <br />1806.6 <br />278-.1 <br />1, 42 <br />2199.4 <br />407.6 <br />1.0 <br />1437:4 <br />177.55 <br />10 <br />1815.7 <br />250.8 <br />10 <br />2209.0 <br />411.1 <br />20 <br />1446.3 <br />179.72 <br />- '20' <br />.1824.9 <br />253.6 .'': <br />20 <br />2218.6 <br />414.5 <br />30- <br />1455.1 <br />181.89 <br />-30 <br />'-1834.1 <br />256.4 <br />30 <br />2228.1 <br />418.0 <br />40 <br />1464.0' <br />1S4.03 <br />40 <br />1843.3 <br />289.2 <br />40 <br />2237.7 <br />421.4 <br />50 <br />1472.9 <br />1SG.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 />lugle <br />Angle Curve 5° <br />10° 1 <br />15° <br />20° <br />25° 30° <br />35° 1 40° <br />45° 1 59° <br />55° <br />60° 1 <br />65° <br />70° <br />20° T=•06 <br />.13 <br />.19 <br />.26 <br />.32 .39 <br />.45 51 <br />.59 .65.72 <br />.79 <br />.84 <br />.90` <br />E=.006 <br />.011 <br />.017 <br />.022 <br />.028 .034 <br />.038 .045 <br />.051 .057 <br />.063 <br />.070 <br />.076 <br />•083 <br />25°--T= .08' <br />.16 <br />.24 <br />.33 <br />.40 .49 <br />.58 .67 <br />.75 .83 <br />.90 <br />.09 <br />1.06 <br />1.14 <br />E =.009 <br />.018 <br />.027 <br />.036 <br />.046 .056 <br />.065 .074 <br />.083 .093 <br />.106 <br />.120 <br />.127 <br />.135 <br />30°-• T=.10 <br />.10 <br />29 <br />.39 <br />,49 .59 <br />.69 .79 <br />.99 .99 <br />1.09 <br />1.20 <br />1.29 <br />1.39 <br />E=.013 <br />.025 <br />.038 <br />.051 <br />.005 .078 <br />.090 .103 <br />.716 .129 <br />.149 <br />.170 <br />.179 <br />.188 <br />35. T.=.11 <br />.22 <br />34 <br />.47 <br />.58 .69 <br />. •90 .93 <br />1.05 1.17 <br />1.29 <br />1.42 <br />1.54 <br />1.66 <br />=.018 <br />.035 <br />.054 <br />.072 <br />.080 .109 <br />-.131 .153 <br />.175 .197 <br />.213 <br />.230 <br />.247 <br />.264 <br />44° . T=.13 <br />.26 <br />.40 <br />.53 <br />.07 .80 <br />.93 1.06 <br />1.20 1.34 <br />11.49 <br />1.64 <br />1.79 <br />11.94 <br />E =.023 <br />.046 <br />.070 <br />.093 <br />.117 .141 <br />.172 .203 <br />.234 .265 <br />.277 <br />.290 <br />.315 <br />.341 <br />45° T_.15 <br />.30 <br />.44 <br />.60 <br />.7G .91 <br />1.05 1.21 <br />1.37 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 .184 <br />.216 .254 <br />.269325 <br />351 <br />.378 <br />•.4111.44 <br />