90 
Neglecting for the moments a(~^’ we may write 
«■-'/, (i)J 
CLi = 0. 
in any case when the terms from the boundaries may be 
neglected, we satisfy all the conditions by writing 
, h fx 
“ 2\Vr r‘^ )' 
/i 
If we now form the terms of the first order in the rotations 
say x^_-^'y'’_-^'z'^_x we get 
„ V / x\x^^ 
^ - 1 = - 2/1 
1 )r^ 
. ^ _P , 
1 r® J 
of which we need only retain 
X 
2 
z- 
. /x\x’^ 
1 yy.3 
xyr 
jr Jr^ 
including the rest in the complementary function. But we 
may give a more symmetrical appearance by writing 
h xy h x^y 
^ ^ 2\ 2X 
2 \ 
r_i= 
whence we get 
h x{x^ + 2 ") 
h xyz 
pbfxz x“z 
(4) 
/-r 
4XV 
ph ^ 
4X 
) 
^ _ ph(x^ x{x^ + y'^)\ 
“4x17"'' 7 ) 
