## An Elementary Treatise on Cubic and Quartic Curves |

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### Contents

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### Common terms and phrases

anautotomic asymptote axes axis becomes bicircular quartic biflecnode binary quantic cardioid Cartesian equation Cassinian centre of inversion chord of contact circular cubic circular points cissoid coefficients coincident points conjugate point cos2 crunode cusp cuspidal cubic cuspidal tangent cuts the curve double point double tangent eliminating ellipse epicycloid equal fixed circle focal conic follows harmonic polar Hence Hessian hypocycloid imaginary points lemniscate lemniscate of Bernoulli limacon line at infinity line joining nine-point circle nodal cubic nodal tangents node obtain origin orthoptic locus parabola parallel passes pedal perpendicular plane point of intersection points at infinity points of contact points of inflexion points of undulation polar conic polar equation projection properties quadric quartic curves radius real points reciprocal polar respect shown singularities stationary tangents straight line tacnode tangential equation tangents drawn ternary theorem touch the curve triangle of reference trilinear coordinates trinodal quartic triple focus vertex whence whilst