( 625 ) 
XXIIL—A Class of Determinants. By J. Dovetas Hamitton Dickson, M.A., 
Fellow and Tutor, Peterhouse, Cambridge. 
Revised from a paper* “A Continued Fraction” of date 19th February 1877. 
(Read 3d June 1878.) 
(I.) It is proposed to consider determinants of the form 
et eee ; igs NG. os SG 
Brite. Saas : Die LU ieee 0: 
ee en gene Oni On tee Cake 5 ba 
BNE chal cea: Oe oils. ee Ose elon 
A, se , Tee a Up—2 5 (Ol a 9 Oy » A eso Ao,_9 
b,, b. , ees OHS. Dm irs Og reece S Oars 
and of the same form as this with the top horizontal and last vertical rows 
removed, in connection with the two series of quantities 
Pan) eee 
b,, b, , b; , Pan © 
(II.) From the two given sets of quantities 
Die ig oes. ss 
DiewiOs Ors 8 ne 
two new sets are deduced 
by means of the auxiliary quantities 
Ap», Ax, Az, »~ « « 
Bo, Bs; Ba ape eae 
* I have to express my best thanks to Professor Cayuny for his kind revision of this paper, 
and for his advice in accordance with which it was re-written and the forms of §§ IJ. and IV. entirely 
altered. 
VOL. XXVIII. PART II. | TZ 

