Manchester Memoirs, Vol. Iviii. ( 1 9 1 4), No. 5. 2 1 

 subject to the condition 



\ - x^ "brX r ) r 'bx\ r } 



"hz^^fit^) (4.). 



As in the previous case we put 



01 - e. - O;; = 2 {F-V ^,), etc. , 

 and get 



where 



^(i - A") 9^ r{i - x'-) d(f) 



3"/Xl 2 ByUj 2:C 3/Uo I — :K" 8yu.j 



3r^ /- 9r r- 3.r xr dx' 



I 9 / . ;i; 9 / X 2X'' (uo - JUs) / -> 



- - -Ou2 - Ma) + - ^/^•^ - i"3) 5 ^- .. = o • (42), 



r or r ox i - :x- r- 



and subject to the conditional equation (41). 



The equations of condition to satisfy Hooke's Law 

 are again of the form stated in (12), which applies to all 

 coordinate systems. 



