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)

156] A FIFTH MEMOIR UPON QUANTICS. 557 
Mr Salmon has also performed the laborious calculation of Hermites’ 18-thic 
invariant of a binary quintic, and has kindly permitted me to publish the result, which 
is given in the following Table : 
No. 29 a. 
[This is the Table W No. 29 A given pp. 299—303, the form being slightly 
altered as appears p. 282.] 
Mr Salmon has also remarked to me, that in the Table No. 50 of the cubin- 
variant of a binary dodecadic 1 , the coefficients are altogether erroneous. There was, in 
fact, a fundamental error in the original calculation ; instead of repeating it, I have, 
with a view to the deduction therefrom of the cubinvariant (see Fourth Memoir, 
No. 78), first calculated the dodecadic quadricovariant, the value of which is given in 
the following Table : 
No. 49 A. 
[For this Table see p. 319.] 
It is now very easy to obtain the cubinvariant, which is 
No. 50 bis. 
[This is the Table No. 50, p. 319, the original No. 50 with coefficients which 
were altogether erroneous having been omitted.] 
1 Third Memoir, Philosophical Transactions, t. cxlvi. (1856) p. 635.
	        
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