Sines of the Dihedral Angles of a Tetrahedron

Let be a tetrahedron with dihedral angles , , , , , . A theorem relating the sines of the dihedral angles states that .
Here , and are pairs of opposite edges of the tetrahedron.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


A proof is described in [1, pp. 111].
[1] V. V. Prasolov and I. F. Scharjagin, Problems in Stereometry (Russian), Moscow: Nauka, 1989.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.