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

CORNOID

Curve studied by Alberto Sanchez in 1895.

 
Cartesian parametrization: .
Cartesian equation: 
Rational sextic.

 
Given a horizontal line cutting the circle with centre O and radius a at P and P', the cornoid is the locus of the projection M of P on the parallel to (OP) passing through P'.

The cornoid is also the orthoptic of the Maltese cross.
 
next curve previous curve 2D curves 3D curves surfaces fractals polyhedra

© Robert FERRÉOL  2021