Problem

Source: V.A. Yasinsky Geometry Olympiad 2017 advanced X-XI p6 [Ukranie]

Tags: geometry, rectangle, Locus, Locus problems



Given a circle $\omega$ of radius $r$ and a point $A$, which is far from the center of the circle at a distance $d<r$. Find the geometric locus of vertices $C$ of all possible $ABCD$ rectangles, where points $B$ and $D$ lie on the circle $\omega$.