Intersection of a Plane and a Tetrahedron
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Let be a tetrahedron and let and be the midpoints of the edges and . Let a plane that contains the line intersect the edges and at points and . Then bisects .
Contributed by: Izidor Hafner (March 2017)
Open content licensed under CC BY-NC-SA
Snapshots
Details
A proof is described in [1, p. 126].
Reference
[1] V. V. Prasolov and I. F. Sharygin, Problems in Stereometry (in Russian), Moscow: Nauka, 1989.
Permanent Citation
"Intersection of a Plane and a Tetrahedron"
http://demonstrations.wolfram.com/IntersectionOfAPlaneAndATetrahedron/
Wolfram Demonstrations Project
Published: March 15 2017