Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 2)

178 
NOUVELLES RECHERCHES SUR LES COVARIANTS. 
[131 
et en mettant F = Sad^ + 2/3d y , B, G seront donnés par 
ryB = F(4œf - /SV), 2 7 <7 = - F (B), 
c’est-à-dire B = 18oc/3y — 4/S 3 , G = — 27a 2 , et de là : 
V = - 27a 2 8 2 + 18a/S 7 S - éay 5 - 4/3 3 8 + /3 2 7 2 : 
valeur qui correspond en effet à la forme ordinaire 
V = — a?d 2 + 6 abcd — 4 ac 3 — 4 b 3 d + 3 6 2 c 2 , 
en changeant d’une manière convenable les coefficients. 
Londres, Stone Buildings, 23 Févr. 1852.
	        
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