1884.] identified with Sir J. Cockle s Criticoids. 55 



Employing the indeterminate multipliers fi lt jll 2 , &c, we have 



Qi ^/"lQiQi'+^Qs+^QiQa +/* 4 Qi 3 



=i g {P 1 "+^ 1 P 1 P 1 ' + ^P 3 + ^PiP 2 +^P 1 3 } 



where 

 M 



w-lT 6 1 



n-1 f , 30-3) \ 



M o(n-1\ ,(n-2X9n-ll) ,(«-3)(3»-8) , n l0 

 5= \~2~ / 4 34> ^ 3 4 -/*2-(»-l>i+2, 



/ w _l\s (n_l)( w -2X3«-5) , w-2/w-3\ />-l\ 2 

 + (n-l). 



The conditions of the simultaneous evanescence of M 1? M 2 , and 

 M 6 are 



6 2(n-l) - 



?2 — 1 r< — o 



which give M 4 =0, M 7 =0, and 



