Let be a convex quadrilateral whose vertices do not lie on a circle. Let be a quadrangle such that are the centers of the circumcircles of triangles , and . We write . Let us define
(a) Prove that and are similar.
(b) The ratio of similitude depends on the size of the angles of . Determine this ratio.
(a) Prove that and are similar.
(b) The ratio of similitude depends on the size of the angles of . Determine this ratio.