^6 Mr. Gwyther on a 



We in that case have 

 ^U_i = - A3^{sin/3cos^ + cosacos/3sin^} 

 wU_i -• Ag^Ksinasine + cosacos0cos^)cos/3 - sin/3cos0sin(^} 



= — /x\3sinasin/3cos;;/;(T - 24)/\. 



2C / / Y-.'imddddfp 



-II 



ATT . 



-^A3Cosasin/3cos//;(T + 2^o)/X. 



Zosin 



= - — M3Cos/3cos/^(T + 24)/\. 



This integral rotation has the same direction as the 

 original rotation : as far as concerns the actual magnitude, 

 it is obvious from the outset that the displacement in the 

 secondary wave will be of — 2 dimensions in space. With- 

 out speculating upon the absolute relation between the 

 original displacement at the origin, and the integral dis- 

 placement here found, it seems reasonable to expect that 

 the relationship between the original and integral displace- 

 ment should be the same as that between original and 

 integral rotation. 



This requires that Ag^ A2 + B2. 



Taking this in connection with the conditions previously 

 obtained, viz. : 



n = 2 and 3. 



A2 = A,. 

 A.^A3^^ 

 we have as our final determination. 

 B2 = 0. 



A, = A3=B3=;^. 

 2A 



