ON ALGEBRAICAL COUPLES. 
131 
22] 
E'. 
i 2 = a i, 
ij = a'i, 
ji = 7 i, 
jf = y'i + qj, 
Y =qyyi- 
I o complete the theory of this system, one may add the identical equation 
X + 1 v = q Mu l 
0-qM 0-qM 
cc + 
CL — 6<y 
a^0a' 
CL — 0y' 
x '+lT^; y ' 
where 
M= e (7 - fly') - (a - 0a') 
a'ry — ay 
By determining the constants, so 
reduce itself to the form A. 
, i , 1 a' — 0y a' — 0y 
that w = JL the 
0 — qm a —0 a a —0y 
system would 
17—2