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