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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

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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.

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