A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on Conic Sections

already angle asymptote becomes bitangents branch called centre circle coefficients coincide common condition consecutive considered constant contain coordinates coresidual corresponding cubic cusp denote described determine differential discriminant distances double point drawn envelope equal equation evidently evolute example expressed factors figure fixed points foci follows four functions give given Hence Hessian imaginary infinity intersection invariant line joining locus manner meets the curve method node normal obtained origin oval pair parallel parameter pass perpendicular point of inflexion points of contact polar conic pole position properties proved quartic radius ratio reciprocal reduced regard relation represents respectively result right line satisfy seen sides substituting tangent theorem theory third touch triangle values vanishes variable write written