The Collected Mathematical Papers of James Joseph Sylvester

a₁ algebraical ax² b₁ becomes Bezoutiant c₁ called canonical form coefficients concomitant conics consequently contain continued fraction corresponding covariant cubic function curve denote derived determinant dimensions duads dx dy elimination equal roots evectant expressed factor final derivee given function h₁ h₂ Hence Hessian homogeneous function identical integral intersection invariant k₁ k₂ linear functions lines matrix method minor determinants modulus multiplicity obtain P₁ pairs permutations Philosophical Magazine positive prime quadratic functions quantities quintic function quotients real roots remarkable respectively resultant roots of fx rotation simplified residue solution square Sturm's Sturm's theorem suppose surface symmetric functions symmetrical synthemes syzygetic theorem theory theory of elimination transformation u₁ U₂ V₁ v₁² v₂² values vanish variables zero