534 PROFESSOR KELLAND ON THE VIBRATIONS OF 



If we suppose 6= a, as is most probably the case, we have 



= 27 + 2y - 2a 



.: a = 7 + Y (a) 



2 i 

 and t r = (0 _ j,) . . . (6) 



a 



II. A (i + r cos a) + e r sin a = 6 ^ (i + r). 

 Hence, to no dimensions we have 



j2_ r 2 _ 



/i_ , {a + b i r + \ r(a + b a 2 2 a a- 



or 



= 2 (a 2 -a 

 = (2 a-2^T^) (a + b) 



If = 6; a = (^ + 0) . ...... (c) 



Approximately, then, 0=7 + y, and p + p'n 



(t >) cos 2 0-f (*J p) sin 2 </) _ (1 



- 



,-_ r+ I i(a 2 -2a6) 

 1 = (1 *)sin 2 d) -- - - - - 



Hence, to one dimension, we have 



+ (!) sin 2 (f> 



COS(f> 



=0 



