MathDB

241

Part of 1977 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 241 All Soviet Union MO 1976 convex polyhedron can be inscribed in sphere

Source:

7/6/2019
Every vertex of a convex polyhedron belongs to three edges. It is possible to circumscribe a circle around all its faces. Prove that the polyhedron can be inscribed in a sphere.
convex polyhedronpolyhedronsphere3D geometrygeometry