# A Theorem on the Dihedral Angles of a Tetrahedron

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Let , , , , , be the edges of a tetrahedron and let , , , , , be the corresponding dihedral angles. Define the function on pairs of opposite edges and dihedral angles as , where is the dihedral angle at and is the dihedral angle at .

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Contributed by: Izidor Hafner (February 2017)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The proof can be found in [1, p. 101, p. 113].

Reference

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

## Permanent Citation

"A Theorem on the Dihedral Angles of a Tetrahedron"

http://demonstrations.wolfram.com/ATheoremOnTheDihedralAnglesOfATetrahedron/

Wolfram Demonstrations Project

Published: February 8 2017