next curve | previous curve | 2D curves | 3D curves | surfaces | fractals | polyhedra |

SCYPHOID

Curve studied by P. Huber in 1910 (Loria
p. 136)
Scyphoid: shaped like a cup, from the Greek scuphos "cup". |

Cartesian equation: .
Polar equation: . Cartesian parametrization: (). Rational Cartesian parametrization: (). Rational quartic with a triple point at O. |

The *scyphoid* can be constructed in the following way: when a variable line passing by *A*(-*a*, 0) meets
*Oy* at *P*; the curve is the locus of the intersection points between the perpendicular to (*AP*) passing by *P* and the circle with centre *P* passing by *O*.

next curve | previous curve | 2D curves | 3D curves | surfaces | fractals | polyhedra |

© Robert FERRÉOL
2017