# Sines of the Dihedral Angles of a Tetrahedron

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Let be a tetrahedron with dihedral angles , , , , , . A theorem relating the sines of the dihedral angles states that .

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Contributed by: Izidor Hafner (February 2017)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

A proof is described in [1, pp. 111].

Reference

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

## Permanent Citation

"Sines of the Dihedral Angles of a Tetrahedron"

http://demonstrations.wolfram.com/SinesOfTheDihedralAnglesOfATetrahedron/

Wolfram Demonstrations Project

Published: February 9 2017