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)

506 ON THE DEVELOPABLE DERIVED FROM AN EQUATION &C. [86 
The expressions of L, L', M, M', N, N' as linear functions of M, B, C (also due 
to Mr Salmon) are 
L = (11 ae + 28bd — 39c 2 ) A + ( af — 7 obe + 7-fcd) B + ( 116/’+ 28ce — 39d-) G, 
JJ = (— 7ae + 4>bd + 3c 2 ) A + (3of + 156e — 18ct7) B + (—7bf + \ce + 3c/-) 0, 
M — 3 (be — ad) A + 3 (ae — c~) B + (cd — af) G, 
M' = (cd - af) A + 3 (bf - df B + 3 (de - cf) G, 
N = 3 (6 2 — ac) A + 3 (ad — be) B + (bd — ae) G, 
N' = ( ce - bf) A + 3 (cf — de) B + 3 (e 2 - df) G. 
I propose resuming the subject of these forms, and the general theory, in a sub 
sequent paper. [This was never written.]
	        
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