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PARABOLIC TRIFOLIUM

Curve studied by G. de longchamps in 1888 (Loria p. 136) |

Cartesian equation: .
Polar equation: . Cartesian parametrization: (). Rational Cartesian parametrization: (). Rational quartic with triple point at O, and asymptotic parabola:
(hence the name). |

Remark: just as the parabolic folium is not a folium, the parabolic trifolium is not a trifolium.

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© Robert FERRÉOL 2017