Resumen de De paramétricas a implícita

Julio Castiñeira Merino

• This article shows some procedures and formulae for getting the implicit equation of a plane curve if we know theirs parametric equations or its polar equation, using the Eliminant of Sylvester and the Chebyshev polynomials. The implicit equations of the tchirhausen cubic, Folium Cartesii, Bean Curve, Windmill, Biquartic of Carlos Sacré, Torpedo Curve, Cayle´s Sextic, Rhodonea, Brocard´s and Habenicht´s Clovers, Spiders, Lissajous´s Curves, Epitrochoids, and Basins 2D are obtained.