J. DOUGLAS HAMILTON DICKSON ON A CLASS OF DETERMINANTS. 631 
By division equations (7) give 









ieee A; 
Loa, Ae 
te Lig A; 
Boz ee 
é 
Oo Yog = — A bk 
ae Re 
OS Oe che ae eae! 
1 as 
ao Yo @ F — Te b, d, 
h 
Bo ofa — fae, 
&e &e. 
y hence, if A, = 1, 
B, i — _ AoA: 
cr Oe A Ae 
dy 4 AAs, 
Ce ay TIA aie 
Goya 3 Aa As 
8 ad, Ces - As Ag ; (9) 
an - Ws As 
aCe (NGO * 
7 EN, 
TG TINE NE 
&e &e. 
that is since Bo =b,—«4, Y =C%—d,, &e. 
4 

Ao As & (y =) 
A: Ao Re & \by 
A Ags oe dy 1 j (10) 
iene a ) 
&e. &e. 
Am Am+s 
and so generally for At 
