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Three Planes in a Trihedron

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Start with a trihedron with apex and edges , , . Extend the edges by a factor to a trihedron , , . Then the planes , and are concurrent. The common point is shown in red.

Contributed by: Izidor Hafner (May 2017)
Open content licensed under CC BY-NC-SA

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This problem was posed in [1, p. 220].

Reference

[1] V. V. Prasolov and I. F. Sharygin, Problems in Stereometry (in Russian), Moscow: Nauka, 1989.

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