398 
[525 
525. 
AN EXAMPLE OF THE HIGHER TRANSFORMATION OF A 
BINARY FORM. 
[From the Mathematische Annalen, vol. iv. (1871), pp. 359—361.] 
The quartic 
(1) 
(a, h, c, d, e)(x, y) 4 
is by means of the two quadrics 
(2) 
(a, ß, y){x, yf and {cl, ß', y)(x, y) 2 
transformed into 
(3) 
(«1, h, c u d 1} e 1 )(x 1 , y x )\ 
that is, eliminating x, y from 
(a, h, c, d, e) {x, y) 4 = 0, 
*i(«, ft 7)2/) 2 + yi(a, /3] 7) (x, yf = 0, 
we obtain 
(cq, 6 X , c 1} <¿1, Ci)(x 1 , 2/1) 1 = 0. 
It is required to express the invariants of (3) in terms of the simultaneous invariants 
of (1) and (2).