478 



PROCEEDINGS OF THE AMERICAN ACADEMY. 



fourth, terms in descending powers of s from s""^' down. Our scheme is 

 then the following : — 



CO 



+ 



O 



+ 



i I 



«0 C CO 



O O 



05 i^Ci 



o 



! 



to 

 O 



2. 



i 



»5 



I 

 C<5 



I 



4 





CO 



t5^ 



J 



■Si 



4 



OS 



1-1 



+ 



^ 



.« 



B 



4 

 =0 



c<5 



o 



»« 



4 



5C 





4 



CO 



Si 

 I 

 «o 



CO 



o 



4 



05 



4 



CO 



'-^ 



I 



4 

 CO 



CO to 



JO 



I 



CO 



o 



Looking for terms of highest degree in s and lowest degree in x, y, and 

 z, we first take v — \ constituents diagonally, beginning with the first 



