two intersecting spheres
Source: Sharygin contest 2008. The correspondence round. Problem 23
September 3, 2008
geometry3D geometryspheregeometry proposed
Problem Statement
(V.Protasov, 10--11) In the space, given two intersecting spheres of different radii and a point belonging to both spheres. Prove that there is a point in the space with the following property:
if an arbitrary circle passes through points and then the second points of its meet with the given spheres are equidistant from .