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

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angle appears asymptotes axis becomes branches centre circle co-ordinates coefficients coincide common condition conic consecutive considered constant contain corresponding cubic cusp denotes determine distances double point drawn elimination ellipse envelope equal equation evolute example expressed factor figure fixed points foci four function give given given point Hence imaginary infinite infinity intersection line joining locus manner meets the curve method multiple point normal nth degree obtained origin oval pair parallel pass perpendicular points of contact points of inflexion polar polar conic pole position problem properties proved ratio reader reciprocal reduced regard relation represents result right line roots seen sides substituting tangent theorem third degree tion touch transformation triangle values variable