Equidistant Sets of Conic and Line
In the paper we study equidistant sets (midsets) of a conic and a line. We show that it is a part of a curve of order 8 if the conic is an ellipse or a hyperbola, and it is a part of a curve of order 6 in the case of parabola. We study the properties of the obtained curves such as their behavior at infinity and the existence of singular points.
KeywordsEquidistant set (midset) Conic Singular point