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3/10/2025 11:29:31 AM
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Ln. and <br />ie Tan. <br />-urve. <br />agent: <br />ent. <br />tenial: <br />,nal. <br />.: Tan. <br />•ve 'will <br />F�/ <br />u <br />CURVE TABLES.... - <br />Published by KEUFFEL & ESSER CO. . <br />i! <br />HORN TO USE CURVE TABLES : • ; <br />Table I. contains Tangents and Externals to a 1° curve; T; <br />{ h <br />Ext. to any other radius maybe found nearly enough, by dividing, t <br />or Ext.. opposite the given Central Angle by the given degree of <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 />I <br />To find. De of Curve, having the Central Angle and EI <br />Divide E. opposite the given Central Angle by the given Exte <br />To find Nat. Tan. and Nat. Ex. See. for any angle by Table <br />or Ext. of twice the given angle divided by the radius of a 1° cu <br />be the Nat. Tan. or Nat. Ex. Sec: . <br />;EXAMPLE <br />�' II <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 />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 />2° 19V=def: for sta.. - '542-: L .P..=sta. 542.+.72 <br />h f <br />4o491/ _ " " ", +50 Tan. = 1 :;18.47 <br />y <br />7° 192'= " 11" 543 <br />90491' = " " " +•50 $ C. =sta.: 541 { 53.5c <br />11° 40' _ " ` " 543+ L. C. = 2.33.3 <br />i <br />86.86, E: C.=Sta. 543+86.8( <br />100=53.53=46.47X3:(deL for,1 ft. of 10° Cur.) =130.41Y= <br />2°•.19- =def. for sta. 542..! <br />Def. forts ft. =2° 30' for a 10° Curve. <br />Def. for 36.86 ft. =1° 502V for a 10° Curve. <br />IAAnj.23°20' <br />t <br />10° curve <br />�I <br />r <br />.. gyp' <br />� x <br />Asa 0 / <br />Ln. and <br />ie Tan. <br />-urve. <br />agent: <br />ent. <br />tenial: <br />,nal. <br />.: Tan. <br />•ve 'will <br />
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