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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'.

Java applet for this construction: webs.ono.com/rpe/cornoide.htm

The cornoid is also the orthoptic of the Maltese cross.
 
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© Robert FERRÉOL  2017