III. A tenth memoir on quantics

The present memoir, which relates to the binary quintic (*)(x, y )3 : has been in hand for a considerable time ; the chief subject-matter was intended to be the theory of a canonical form discovered by myself, and which is briefly noticed in “Salmon’s Higher Algebra,” 3rd Ed (1876), pp. 217, 218; writinga, b, c, d, e, f, g...u, v, w , to denote the 23covariants of the quintic, thena, b, c, d, f are connected by the relationf 2 = —a 3 d +a 2 bc — 4c 3 ; and the form contains thesecovariants thus connected together, and alsoe ; it in fact is . . . (1, 0,c, f, a 2 b — 3c 2 ,a 2 e — 2cf )(x, y )5 .