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In. and <br />ieTan. <br />:urve. <br />igent: <br />ent. <br />ternal: <br />,nal. <br />Tan. <br />ve will <br />CURVE TABLES <br />Published by KEUFFEL & ESSER CO: <br />HOW TO USE CURVE TABLES <br />Table I. contains Tangents and Externals to a 1' curve. T <br />Ext. to any other radius may be found nearly enough, by dividing t <br />or Ext. opposite the given Central Angle by the given degree of <br />_ <br />To find Deg. of Curve, having the Central Angle and Ta <br />Divide Tan. opposite the given Central. Angle by the given Tang <br />= To find Deg. of Curve, having the Central Angle and E: <br />Divide Ext. opposite the given Central Angle by'the given Exte <br />-- <br />To find Nat. Tan. and Nat. Ex. Sec. for any angle by Table <br />--— <br />or Ext. of twice the given angle divided by the radius of a 1' cu <br />--------- <br />-- <br />— <br />be the Nat. Tan. or Nat. Ex. Sec. <br />EXAMPLE <br />Wanted a Curve with an Ext. of about 12 ft. Angle <br />of Intersection or I. P.=23* 20' to the R. at Station <br />542+72. <br />Ext. in Tab. I opposite 23' 20' =120.87 <br />120.87+12=10.07. Say a 10' Curve. <br />Tan. in Tab. I opp. 23' 20'= 1183.1 <br />1183.1: 10=118.31. <br />Correction for A. 23' 20'. for a 10' Cur.=0.16 <br />118.31-{-0.16 =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 />4-49121 = " +50 Tan. = 1 .18.47 <br />0 1912'= " " «543 <br />53.5 <br />j 9' 49-j"= `< +50 B. C. =sta. -541+53.5,1 <br />11' 40' _ " " " 543+ L. C. = 2 .33.32 <br />86.86 E. C. =Sta. 543+86.8E <br />100-53.53=46.47X3'(def. for 1 ft. of 10° Cur.) = 139.41'= <br />20 192' =def. for sta. 542. <br />Def. for 50 ft. =2' 30' for a 10' Curve. <br />Def. for 36.86 ft. =1' 502' for a 10' Curve. <br />sFa <br />"> <br />IAAn9.23°201 <br />N / <br />10° Curve <br />Y �4y/ <br />x/ <br />\\`� <br />009% ' <br />In. and <br />ieTan. <br />:urve. <br />igent: <br />ent. <br />ternal: <br />,nal. <br />Tan. <br />ve will <br />