C 173 ] 
V I. Addition to Memoir on the Resultant of a System of two Equations. 
By Professor Cayley, F.R.S. 
Keceived August 6, — Eead November 21, 1867. 
The elimination tables in the Memoir on the Resultant of a System of two Equations 
(Phil. Trans. 1857, pp. 703-715), relate to equations of the form (a, b . . ^) m =0, 
without numerical coefficients ; but it is, I think, desirable to give the corresponding tables 
for equations in the form ( a , 6, . .fx, y) m = 0 with numerical coefficients, which is the 
standard form in quantics. The transformation can of course be effected without diffi- 
culty, and the results are as here given. It is easy to see a priori that the sum of the 
numerical coefficients in each table ought to vanish ; these sums do in fact vanish, and 
we have thus a verification as well of the tables of the present Addition as of the tables 
of the original memoir, by means whereof the present tables were calculated. 
Table (2, 2). 
Resultant of 
(a, b, cjoc, yf , 
(P> P r X^ yf' 
MDCCCLXVIII. 
