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L/' <br />II TABLE I. - Tangents and Externals to a-1° Curve. <br />Chord=100 ft. <br />Int:_ <br />Angle <br />Tangent <br />-n •- <br />External: <br />- . <br />-jn-L <br />Angle <br />_ <br />Tangent <br />External <br />Int,' ... <br />An <br />Tangent <br />External <br />1° <br />50:00 <br />-.22 <br />8° <br />400.66 <br />. +13:9% <br />_15° <br />754.32 <br />49.44 <br />10' <br />-58:34 <br />.30 <br />10' <br />409.03 <br />14.68' <br />•10' <br />762:80 <br />50.55 <br />20 <br />66;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 <br />30 <br />425.79 <br />15.80' <br />30 • <br />M-.,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 />f "501 <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 />450.03 <br />17.'72 <br />16. • <br />S65.25 <br />56.31 <br />10 <br />108.35 <br />1.02 <br />_ <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 />E3.06_ <br />20- <br />522.-25 <br />58.70 <br />.51 ',58 <br />125.02 <br />1.36 <br />30 <br />476.10 <br />-; 19.75` <br />30- <br />830.76 <br />59.91 <br />.30 <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 />x,,;50 <br />.141.70 <br />1.75 <br />50� <br />492,88 <br />21.16' <br />S0 <br />S47:78 <br />'62.38 <br />8 . <br />150.04 <br />1.96` <br />10 --� <br />501.25 <br />21.69' <br />.17. <br />856.30' <br />63.63 <br />10- <br />158.3S <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 />; 573.35 <br />66.18 <br />30 <br />175.06 <br />2.67 <br />-30 <br />526.48 <br />_- <br />24.14' <br />- -30 <br />-881.88 <br />67.47 <br />l�. 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 />223.4 <br />50 <br />898..95 <br />70.09 <br />r <br />;. <br />139.41 <br />-32 <br />1643'.0 <br />_25.70 <br />39 <br />2029.0 <br />348.6 <br />' 4 <br />200.08 <br />3.49 <br />11 <br />551.70 <br />2G.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 />d 20 <br />210.77' <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 />23347 <br />4.76 <br />40- <br />585.36 <br />29.82 <br />40= <br />941.69 <br />70.86 <br />50 <br />24T�1 <br />._ 5.10• <br />_ ,50 <br />-593.79 <br />30.68 <br />50 <br />-950.25 <br />.78.26 <br />a <br />250.16 <br />5.46 <br />12 <br />602.21 <br />31.50 <br />19 - <br />958.81 <br />•79•.67 <br />10 <br />258.51 <br />5.8310 <br />20 <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 />'.30 <br />%975.9G <br />82.53 <br />' `30 <br />275.21 <br />6.61 <br />30 <br />627.50 <br />34.26' <br />- <br />-9S4.53 <br />83•,97 <br />40 <br />253:57 <br />. - 7.01 <br />40 <br />635.93 <br />.35.18 <br />-40, <br />- 993.12 <br />85.43 <br />50 <br />291.02, <br />7:43 <br />50 <br />644.37 <br />-•36.12 <br />•50 . <br />1001.7 <br />86.90 <br />8 <br />300.28 <br />7.88, <br />13 <br />652.81 <br />37.07 <br />20 <br />1010.3 <br />88.39 <br />a 10 <br />308:64' <br />8.3110 <br />20 <br />661.25 <br />38.03 <br />10 ; <br />1018.9 . <br />89.89 - <br />h 20 <br />316.99 <br />8.713 <br />20 <br />G69.70 <br />39.01. <br />20 ' <br />1027.5 , <br />91.40 <br />^1 30 , <br />325.35 <br />9.23 <br />- •30 <br />678.15 <br />39.99: <br />30 ' <br />3036.1 . <br />92.92 <br />N '40 . <br />333:71• <br />- 9.71 <br />;40 <br />636.60 <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 />300:44' <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 1 <br />720.44 <br />45.12 <br />2Q:. <br />1079.2 <br />100.75 <br />30 <br />37:).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 />'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 />d� Coi-reciio-ns to be Added (T=Tangent. -E=External:) <br />Y <br />Int. I Curvc 5° <br />Angie_ <br />10° <br />15° 20° <br />25° <br />30° <br />35° <br />40° 45° <br />50°- <br />55° <br />60° <br />65° <br />70° <br />5o T=.02 <br />.03 <br />:05 .06 <br />.08 <br />10 <br />.Il <br />13 .IS <br />.16 <br />.18 <br />.20 <br />.21 <br />..23 <br />B=.000 <br />.000 <br />.001 .001 <br />-.002 <br />.002 <br />.002 <br />.00.9 .003 <br />_:004 <br />.004 <br />.004 <br />.005 <br />.005 <br />io. T=.03 <br />.06 <br />.09 .13 <br />,16' <br />.19 <br />.22 <br />.5 .23 <br />.31 <br />.34 <br />.38' <br />.42 <br />.46 <br />E=.001 <br />.003 <br />.004 .00G <br />.007 <br />.008 <br />.009 <br />.011 .012 <br />.014 <br />.015 <br />.017 <br />..018 <br />.020 <br />159 T=.04 <br />.10, <br />.14 .19 <br />.24 <br />.29 <br />.34' <br />:39 .45 <br />.51 <br />.53 <br />.58 <br />G3 <br />.68 <br />E =.003 <br />.007 <br />.010 1014 <br />.018 <br />.023 <br />-.027 <br />.029 .032 <br />_035 <br />.039 <br />.013 <br />.047 <br />.051 <br />20o = 06- <br />T=.003 <br />.13 <br />.19 .26 <br />32 <br />`.30 <br />.45 <br />.51 ',58 <br />.65 <br />.72' <br />.79 <br />.84. <br />.90 <br />30 <br />•.011 <br />.017 .022 <br />.028 <br />.034 <br />.038 <br />.045 .051 <br />-.057 <br />.063 <br />.070. <br />.076 <br />.083 <br />250 T=.08 <br />I 16 <br />' .24 .33 <br />.40 <br />.49 <br />.58 <br />.67 .7.5 <br />_83 <br />.90 <br />.99 <br />1.06 <br />1.14 <br />E =.009 <br />.018 <br />.027 .036 <br />.010 <br />.056..065 <br />330.2 <br />.074 .053 <br />.093 <br />.106 <br />.120 <br />.127 <br />.135 <br />.TABLE .1: - Tangents and Externals toa 1°•Curve.. .III <br />Chord=100 ft. <br />Int.Tangent <br />Angle <br />Curve S° <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int_ <br />Angle <br />Tangent <br />Eitera3l <br />220 <br />11113:7 <br />107:24 <br />29° <br />1481.8 <br />188.51 <br />3G° <br />1861.7 <br />_ 294.9 <br />10/ <br />A 122.4 <br />108.90 <br />10' <br />1490.7 <br />190.74 <br />10' <br />1870.9 <br />297.7 <br />20 <br />•1.13L.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 />•40 <br />.1517.4 <br />197.53 <br />40 <br />1895.6 <br />306.4 <br />50 <br />1157.0 <br />115.66 <br />50 <br />156.3 <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 />3183'.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 />124.41 <br />40' <br />`1571.0 <br />211.48 <br />40 <br />1954.3 <br />324.1 <br />50 <br />:1209.2 <br />12G.20 <br />'50 <br />15S0.0 <br />213.86 <br />50 <br />1963.6 <br />327.1 <br />=24 <br />'1217:9 <br />128'.00 <br />31-- <br />15S6:0 <br />21G:3 <br />38 --;' <br />1972:9 <br />330.2 <br />101226.6 <br />129.82 <br />10 <br />1598.0 <br />218.7_ <br />' 10 <br />1932.2 <br />333.2 <br />20 •1235.3 <br />1.49 <br />131 65 <br />20 <br />11606.9 <br />221.1 <br />20 <br />1991.5 <br />836.3. <br />30 <br />1244.0 <br />133.50 <br />30 <br />1615.9 <br />223.5 <br />30 <br />2000.9 <br />539.3 <br />40 <br />125.8 <br />135.3.5 <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 />223.4 <br />50 <br />2019.6 <br />1 <br />345.5 <br />=25 ' <br />1270.2 <br />139.41 <br />-32 <br />1643'.0 <br />230:0 <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 />203S.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 />4296.5 <br />144.85 <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 />X1679.1 <br />241.0 <br />40 <br />:2066.6 <br />361.3 <br />50 <br />1314'.0 <br />148.75 <br />••501688.1 <br />243.5 <br />50 <br />'20-,6:0 <br />364.5 <br />:26` <br />1322:8 <br />150.71 <br />133` <br />1697.2•; <br />246.1 <br />40 <br />2085.4 <br />367.7 <br />" '10 <br />1331.6 <br />15.69 <br />10 <br />.1706.3 <br />248?9 <br />10 <br />2094".9 <br />'371.0 <br />20 <br />1310:4 <br />154.69 <br />20 <br />1715.3 <br />251.3 <br />1. 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 />21.13.3 <br />377.5' <br />'40 <br />1358.0 <br />158.72 <br />t ' '40 <br />1733.5 <br />256.5 <br />• 40 <br />2123.3 <br />380.8 <br />a -50 <br />1366:S <br />160.76• <br />50 <br />11742..G <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 />21432 <br />387.4 <br />i 10 <br />1384:•1 <br />164.86 <br />•10 <br />1760:5 <br />264.5 <br />10 <br />2151..7 <br />390.7 <br />20 <br />1393.2 <br />1661.95 <br />20 <br />1770.0 <br />267.2 <br />20 <br />-2161.2 <br />394.1 <br />30 <br />1402.0 <br />169.01 <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 />1428.5 <br />175.41 <br />35 <br />1806. C; <br />278:1 <br />42 <br />2199.4 <br />407.6 <br />30 <br />14u7.4 <br />177.55 <br />10 <br />151.5.7 <br />2SO.8 <br />- 10 <br />2209.0 <br />'411.1 <br />20' <br />14;6.3 <br />-•179.72 <br />20 <br />1824:9 <br />283.6 <br />20 <br />2218.6 <br />-914.5 <br />30 <br />1455.1 <br />1S1.80 <br />30 <br />1834.1 <br />2S6.4 <br />_ 30 <br />2228.1 <br />418.0 <br />-40 <br />1.161.0 <br />154.08 <br />40 <br />1S43.3 <br />259.2 <br />40 <br />2237.7 <br />421.4 <br />.50 <br />1472.9 <br />156.29 <br />50 <br />'1852.5 <br />292.0 <br />-50 <br />2247.3 <br />425.0 <br />Corrections to be Added (T=Tangent. E=Externa-,.) <br />�gje <br />Curve S° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° 50° <br />55° <br />60° <br />65° <br />70° <br />20o <br />T=.06 <br />.13 <br />.19 <br />.26 <br />.32 <br />.39 <br />.45 <br />.51 <br />.58 .65 <br />.72 <br />.79 <br />.84 <br />.90 <br />E =.006 <br />.011 <br />.017 <br />.022 <br />.028 <br />.034 <br />.038 <br />.04:5 <br />.051 .057 <br />.063 <br />.070 <br />.076 <br />.083 <br />25° <br />1'=.OS <br />16 <br />24 <br />33 <br />.40 <br />.49 <br />.58 <br />.67 <br />.75 .83 <br />.90 <br />.09 <br />1.06 <br />1.14 <br />E =.009 <br />.018 <br />.027 <br />.036 <br />.016 <br />.056 <br />.065 <br />.074 <br />.033 .093 <br />.106 <br />.120 <br />.127 <br />.135 <br />,.30° <br />T=.10 <br />.19 <br />.29 <br />.39 <br />'A9 <br />.59 <br />.69 <br />.79 <br />.S9 .99 <br />1.09 <br />120 <br />1M <br />1.39 <br />E=.013 <br />.025 <br />.035 <br />.051 <br />.065 <br />.078 <br />.090 <br />.103 <br />.116 .129 <br />.149 <br />.170 <br />.179 <br />.188 <br />35° <br />T=.11 <br />°2 <br />.34 <br />.47 <br />.58 <br />.69 <br />.80 <br />.93 <br />1.05 1.17. <br />1.29 <br />i4 <br />1.E <br />=.018 <br />-.035 <br />.05.4 <br />.072 <br />.086 <br />.109 <br />.131 <br />.153 <br />.175 .197 <br />.213 <br />?47 <br />.264 <br />40°T=.13 <br />2G <br />AO <br />.53 <br />.67 <br />.80 <br />A3. <br />1.06 <br />1.20 1.34 <br />1.49 <br />1.70 <br />1.94E <br />=.023 <br />.016 <br />.070 <br />.093 <br />.117 <br />.141 <br />..1.'2 <br />203 <br />.234 .265 <br />.277 <br />Lljll <br />_..315 <br />.341 <br />AS. <br />T=.15 <br />110 <br />.44 <br />.60 <br />.76 <br />.91 <br />1.06 <br />1?i <br />1,§1.52 <br />1.70 <br />2.41 <br />2_29 <br />E=.030 <br />.060 <br />.093 <br />.119 <br />•153 <br />.1A <br />216 <br />.254 <br />.288 .325 <br />.351 <br />.411 <br />:145 <br />