Intersection of a Plane and a Tetrahedron

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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