- Communications in Advanced Mathematical Sciences
- Vol: 4 Issue: 3
- Orthoptic Sets and Quadric Hypersurfaces
Orthoptic Sets and Quadric Hypersurfaces
Authors : François Dubeau
Pages : 130-136
Doi:10.33434/cams.917192
View : 10 | Download : 7
Publication Date : 2021-09-30
Article Type : Research
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