136 Railway Curves. 



To calculate the Chords. 



t -$- 31 1-4913617 



= ; = 8F8T5 1 ' 913Q979 



V 5 = 20° 44' 25", Tan. 0=9-5782638, cos. = 9-9709123 



by m- 0-0463621 



0-0172744 

 by 2 = 0-3010300 



V «=8P 21' 6" by sin. 5 = 9-7162444 



= 20° 44' 25" , 



a = 38° 20' — f^_^_-P 



2) 90° 25' 31" 



^EDP = 45° 12' 45J" 



2)81° 35' 31" 

 Z. ABO = 40° 47' 45J" 



Chord ED = 2 r cos. 45° 12' 46" AB = 2 r cos. 40° 47' 46" 



0-3010300 

 1-9130979 

 9-8478460 9-8791012 



byED = 2-0619739 2-0932291 =by AB 



Chord ED = 115-34 Chord AB = 123-94 



Example for Practice. 



Fig. W. 



Let d= 150, the demi-tangent = 10 

 a = 80° /3 = 74° 20' 



Required — The radius, and length, and position of the chords. 



Answer — r — 16405 



EDP = 79° 56' 551" 

 ABO = 77° 36' 55J" 

 AB = 70-373 

 ED = 57-267 



