Orthoptic Sets and Quadric Hypersurfaces

Authors : François DUBEAU

Pages : 130-136

Doi:10.33434/cams.917192

View : 14 | Download : 9

Publication Date : 2021-09-30

Article Type : Research Paper

Abstract :Orthoptic curves for the conics are well known. It is the Monge`s circle for ellipse and hyperbola, and for parabola it is its directrix. These conics are level sets of quadratic functions in the plane. We consider level sets of quadratic functions in higher dimension, known as quadric hypersurfaces. For these hypersurfaces we present and study their orthoptic sets, which extend the idea of orthoptic curves for conics.
Keywords : orthoptic set, directrix, Monge`s circle, quadric hypersurface