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Tangential Tetrahedron


The planes passing through the vertices of a tetrahedron ABCD and tangent to the circumsphere at these points form another tetrahedron called the tangential tetrahedron.

The four lines of intersection of the faces of a tetrahedron with the corresponding faces of its tangential tetrahedron form a hyperbolic group (Altshiller-Court 1979, p. 102).


See also

Tetrahedron

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References

Altshiller-Court, N. Modern Pure Solid Geometry. New York: Chelsea, p. 102, 1979.

Referenced on Wolfram|Alpha

Tangential Tetrahedron

Cite this as:

Weisstein, Eric W. "Tangential Tetrahedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TangentialTetrahedron.html

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