On properties of rectangular hyperbolas (Q5933867)

This paper considers properties of rectangular hyperbolas, their inscribed triangles, and the pedal and Cevian circles of points, e.g.\ the following: Let the triangle \(ABC\) be inscribed in the rectangular hyperbola \(H\). The pedal circle of a point \(P\) passes through \(H\)'s center if and only if \(P\) is either on \(H\) or on the image line of \(H\) under isogonal conjugation with respect to \(ABC\).