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.an. and, <br />the Tan. <br />curve. <br />ingent: <br />gent. <br />xternal : <br />�rnal. <br />I.: Tan. <br />trve will <br />S.,3 CURVE TABLES <br />2.4" <br />Sdi &B, <br />CO, /fo` Published by KEUFFEL & ESSER CO. <br />HOW TO USE CURVE TABLES <br />I` <br />y <br />�I <br />Table I. contains Tangents and Externals to a 1° curve. i <br />Ext. to any other radius maybe found nearly enough, by dividing <br />or Ext. opposite the given Central Angle by the given degree o; <br />To find Deg. of Curve, having the Central Angle and T, <br />Divide Tan. opposite the given Central Angle by the given Tan <br />To find Deg. of Curve, having the Central Angle and E <br />Divide Ext.opposite the given Central Angle by the given Ext <br />To find Nat. Tan. and Nat. Ex. Sec. for any angle by Table <br />or Ext. of twice the given angle divided by the radius of a 1° ct <br />be the Nat. Tan. or Nat. Ex. Sec. <br />EXAMPLE <br />tt <br />Wanted a Curve with an Ext. of about. 12 ft. Angle <br />of Intersection or I. P. =230 20' to the R. at Station <br />542+72. <br />Ext. in Tab. I opposite 23° 20' =120.87 <br />1.20.87+12=10.07. Say a 10° Curve. <br />Tan. in Tab. I opp. 23° 20'= 1183.1 <br />E, <br />ft ;, <br />I <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 />l <br />r' t� <br />' <br />2° M,'= def. for sta. 542 I. P. = sta. 542-72 <br />o ,i_ u a ° <br />4 492"= +50 Tan. = 1 .18.41 <br />G a k <br />o '=543 <br />j 9° 49}'= ° ° ° +50 B. C.=sta. 541+53.5:: <br />110 40' _ a a ,543+ L. C. = 2 .33.31 <br />86.86 E. C.=Sta. 543+86.86 <br />100-53.53=46.47X3'(def. for 1 ft. of 10° Cur.)=139.41'= <br />2° 19"=def. for sta. 542. <br />Def. for 50 ft. =2° 30' for a 10° Curve. <br />Def. for 36.86 ft. =1° 501' for a 10° Curve. <br />. <br />Pia <br />x) _ <br />d I.P.An9.23.201 <br />7 B <br />i <br />10• Gurve <br />t y <br />0X4 , <br />\\V / <br />i <br />.an. and, <br />the Tan. <br />curve. <br />ingent: <br />gent. <br />xternal : <br />�rnal. <br />I.: Tan. <br />trve will <br />