convex quad
Source: Laurentiu Panaitopol,Romania, TST 1988
August 10, 2005
geometryrotationinequalitiesgeometry proposed
Problem Statement
The four vertices of a square are the centers of four circles such that the sum of theirs areas equals the square's area. Take an arbitrary point in the interior of each circle. Prove that the four arbitrary points are the vertices of a convex quadrilateral.
Laurentiu Panaitopol