238 



Mr Glaisher, On the developments of [Mar. 16, 



i.e. the first term being of the form A X B 2 , the second is of the 

 form A 2 B V 



In the following list the equations are written in a uniform 

 manner and so arranged in groups as to exhibit the correspondence 

 between E and V, I and U, and and W. 



(1 

 (2 

 (3 

 (4 



(5 

 (6 



(7 

 (8 



(9 

 (10 



(11 



(12 

 (13 

 (14 

 (15 



(16 

 (17 



(18 



(19 

 (20 



(21 



§ 38. The system o 

 following form, in whic 



E V E 2 -K 2 E l = 1, 



KJ 2 -KJ X =1, 

 E X G 2 — K 2 G 1 = 1, 

 K& -KJJ X =1, 



K X W 2 -K^W^l, 



EJ 2 



EX =1, 



E X G 2 -E 2 G t =k"\ 



Kv» r-KVi =i(i+n 



E X W % -E,W x = h 



EJ, 



E 2 V t =iJc 



VJ„ - VJ, 



h(I+k 2 ), 



v x w 2 -v 2 w x = w, 



GJJ 2 -G 2 U X =W, 

 G^-G.W^Utf-k'*), 



i 



2-1 



wj„ - w:l 



W 1 U 2 -W 2 U 1 = ±k'\ 



uj 2 -uj t =w 



equations is perhaps best written in the 

 the left-hand members of the equations 

 are expressed as determinants and the equations are so grouped as 

 to exhibit more clearly than in the last section the correspondence 

 between E and V, I and U, and G and W, 



