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Intersection of a Plane and a Tetrahedron
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
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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.
RELATED LINKS
Tetrahedron
(
Wolfram
MathWorld
)
Orthogonal Projection of a Rectangular Solid
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Intersection of a Plane and a Tetrahedron
"
http://demonstrations.wolfram.com/IntersectionOfAPlaneAndATetrahedron/
Wolfram Demonstrations Project
Published: March 15, 2017
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