TOT 340 1992 Autumn O J2 circumcenters are vertices of #
Source:
June 10, 2024
geometryparallelogramcircumcircle
Problem Statement
On each side of a parallelogram an arbitrary point is chosen. Each pair of chosen points on neighbouring sides (i.e. sides with a common vertex) are connected by a line segment. Prove that the centres of the circumscribed circles of the four triangles so created are themselves vertices of a parallelogram.(ED Kulanin)