2 CURVE OF 



This problem was proposed, as the prize 

 question, in No. 15, of Leybourn's Mathema- 

 tical Repository; but no satisfactory answer 

 was given to it. Indeed Euler's Theorem, by 

 which the problem was proposed to be solved, 

 gives a very complicated result. 



The principle used in the solution of this 

 problem is that of John BernouUi, by which he 

 solved his own problem of quickest descent. 

 The way in which this principle is here used, 

 does not give an exact solution ; but it affords 

 a good approximation. 



If you have any thing to say about this 

 problem, I shall be glad to hear from you. 

 I am, dear Sir, 



Yours, sincerely, 



EDMUND SIBSON. 



