A Treatise on the Higher Plane Curves: intended as a sequel to a treatise on Conic Sections |
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Common terms and phrases
A₁ angle asymptotes AU₁ axis b₁ centre circle co-ordinates coefficients coincide coincident points condition conic sections conjugate point consecutive points constant corresponding cubic cusp cycloid denotes determine dH dH double point double tangents drawn dx dy dy dz elimination ellipse elliptic functions envelope epitrochoid equa equal roots equation evolute fixed points foci fourth degree function geometrical given curve given point Hence hyperbola imaginary infinite branches last Article line at infinity line joining line meets locus meets the curve method multiple point nth degree obtained origin oval parabola pass perpendicular Plücker points at infinity points of contact points of inflexion polar conic polar curve pole radius vector ratio right line substituting theorem third degree tion transformation triangle U₁ values variable