292 
[408 
408. 
ADDITION TO MEMOIR ON THE RESULTANT OF A SYSTEM 
OF TWO EQUATIONS. 
[From the Philosophical Transactions of the Royal Society of London, vol. clviii. (for the 
year 1868), pp. 173—180. Received August 6,—Read November 21, 1867.] 
The elimination tables in the Memoir on the Resultant of a System of two Equations, 
Phil. Trans. 1857, pp. 703—715, [148], relate to equations of the form (a, b...\x, y) m = 0, 
without numerical coefficients ; but it is, I think, desirable to give the corresponding 
tables for equations in the form (a, b, . . \x, y) m = 0 with numerical coefficients, which 
is the standard form in quantics. The transformation can of course be effected without 
difficulty, and the results are as here given. It is easy to see à 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, c\x, yf, 
(P> q, r$as, yf. 
Table (3, 2). 
Resultant of 
(a, b, c, d\x, yf, 
(p, q, r\x, yf.