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THE ROYAL SOCIETY OF CANADA 

 Table II 



1 . To test the equation Y = c cosh 



60 



(a) When x = 60 cms. Y = 111 cosh — 1 = HI x 1 - 150 



111 



127-6 cms.; this agrees well with 127-7 cms 



130 



(6) When x = 130 cms. Y = HI cosh 



111 



11 X 1-766 = 



196 cms. ; this agrees well with 195-5 cms. 

 This exercise trains students in the use of the hyperbolic functions. 



X 



2. To test the equation s = c sinh - 



c 



(a) Take any point, P, say, where x = 60 cms. 

 60 



s = 111 sinh 



111 



111 X -568 = 63 cms. 



Direct measurement gave 63 cms. 



(6) For the point x = 130 cms. we get 



1 ^0 

 s= 111 sinh— = 111 X 1-47 : 

 111 



Direct measurement gave 161 cms. 

 3. To test the equation s = c tan 6 



163 cms. 



