MMO 034 Moscow MO 1937 volume of tetrahedron is constant
Source:
July 18, 2019
Volumetetrahedron3D geometrygeometryskew
Problem Statement
Two segments slide along two skew lines. On each straight line there is a segment. Consider the tetrahedron with vertices at the endpoints of the segments. Prove that the volume of the tetrahedron does not depend on the position of the segments