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~IY <br />e~ <br />~~ <br />~~~~ ' ~~ ~ ~ J ~ -z J <br />~___ % ~ _. <br />,.5 ' `L <br />~ ~` <br />~~ ~ <br />,~ <br />i 4~ ~° <br />., <br />q ~ -, <br />2 ~, <br />~ ~ ~' <br />~ ~ ' <br />I <br />~~~,~s~~ <br />7 , S'C <br />~,i~ <br />4 ,S~ <br />~id ~ <br />L _ <br />!. <br />-=~ <br />y ~~ '~ <br />.j , <br />`_L' . <br />s -~~- , -- <br />~~y., ~ ~ <br />III <br />K E I~' .~ ~H1.E 1V. - Tangents and Externals to a 1° Curve. <br />ti..gie Tangent Externaq Angle i Tangent External Angle Tangent External <br /> <br />i" <br />50.00 <br />.22 - <br />11° - <br />:51.70 - , <br />26.50 <br />21" - <br />1061.9 <br />97. b7 <br />10' 58.34 .30 10' 560.11 27.31 10' 1070.6 99.16 <br />20 (i6.67 .39 20 563.53 28.14 20 1079.2 100.75 <br />30 73.01 .49 30 576.95 28.97 30 1087.8 102.35 <br />40 83.34 .fil 40 585.3G 29.82 40 1096.4 103.97 <br />50 91.68 .73 50 593.79 30.68 50 1105.1 105.60 <br />2 100.01 .87 12 602.21 31.56 22 1113.7 107.24 <br />10 108.35 1.02 10 610.G4 32.45 10 112`2.4 1CS.90 <br />20 116.68 1.19 20 619.07 33.35 20 1131.0 110.57 <br />30 1.'.,1.02 1.36 30 627.50 34.26 30 1139.7 112.20 <br />40 133.36 1.55 40 635.93 35.18 40 1148.4 113.95 <br />50 141.70 1.75 50 644.87 36.12 50 1157.0 115.66 <br />3 150.04 1.96 13 652.81 37.07 23 1165.7 117.38 <br />10 158.38 2.19 10 661.25 38.03 10 1174.4 119.12 <br />20 1fiU.72 2.43 20 669.70 39.01 20 1183.1 1'~O.S7 <br />30 175.06 2.67 30 678.15 39.99 30 1191.8 122.63 <br />40 183.40 2.93 40 GS6,00 40.99 40 200.5 12•,.41 <br />50 191.74 3.21 50 695.06 42.00 50 1209.2 126.20 <br />4 200.08 3.49 14 703.51 43.03 24 1217.9 128.00 <br />10 208.43 3.79 10 711.97 44.07 10 1226.E 129.82 <br />20 216.77 4.10 20 720.44 4;1.12 20 1235.3 131.65 <br />^^ °^:: ~728~90 46.18 30 1244.0 133.50 <br />1183.1=10 =118.31. <br />TaU. V correction for A. 23° 20' fora 10° Cur. =0.16 <br />118.31-F0.16 =118.47 =corrected Tangent. <br />(If corrected Ext. is required find in same way) <br />Ang. 23° 20'=23.33°=10=2.3333=L. C. <br />2° 192'=def. for sta. 542 I. P.=sta. 542-72 <br />4° 492' _ " " x-50 Tan. = 1.18.47 <br />i° 192'= " " a <br />+50 B. C.=sta. 541+53.53 <br />9° 492,= " " <br />11 ° 40' _ " " 54.3 -~- L. C. = 2.33.33 <br />86.86 E. C.=Sta. 543-~86.8G <br />1G0- X3.53=46.47X3"(def. for 1 it. of 10° Cur.)=139.41'= <br />2° 192"=def. for sta. fi42. <br />Def. for 50 ft. =2° 30' fora 10° Curve. <br />Def, for 36.86 ft.=1° 502' fora 10° Curve. <br />(These tables are published in Field Books of <br />IIEUFFEL & EssEx Co., New York, N. Y.) <br />