이차 유리 베지에 곡선의 등각공액과 Isotomic 공액

Abstract

It has been described in a recent paper [4] by Keith Dean and Floor van Lamoen how to express isogonal conjugates and isotomic conjugates through barycentric coordinates. It is shown that when conic points are sent to isogonal and isotomic conjugates, those conjugates are conic. In addition, the centroid's isotomic conjugate is its own conjugate as well as incenter's isogonal conjugate is its own conjugate. Therefore the centroid and incenter quadratic rational Bezier curves are the same as the isotomic conjugates and isogonal conjugates respectively.