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. 1)

63] 
M. BOOLE CONCERNANT DES INTÉGRALES MULTIPLES. 
387 
on obtient sans plus de difficulté 
i __ +/ 2 ) (s + g 2 )... 
9 fy 
v a 2 b 2 
s f 2 + s + f + s 
Soit encore, pour dernier exemple, 
P = 1' 2 x 2 + — n + ... , Q — v 2 + W + ^ + ... 
ar x 2 
(16). 
(17); 
on aura, pour ce cas, 
(¡> = (l 2 s + \ 2 )(L 2 s + A 2 )..., | 
<r = - {ü 2 + 2 V(l 2 s + A. 2 ) (L 2 s + A 2 ) + ...} | 
(18); 
les formules qui se rapportent à cet exemple aussi bien qu’au premier sont, je crois, 
entièrement nouvelles. 
49—2
	        
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