Bang's theorem on tetrahedra
id:
bang-s-theorem-on-tetrahedra-183-389146
title:
Bang's theorem on tetrahedra
text:
In geometry, Bang's theorem on tetrahedra states that, if a sphere is inscribed within a tetrahedron, and segments are drawn from the points of tangency to each vertex on the same face of the tetrahedron, then all four points of tangency have the same triple of angles. In particular, it follows that the 12 triangles into which the segments subdivide the faces of the tetrahedron form congruent pairs across each edge of the tetrahedron. It is named after A. S. Bang, who posed it as a problem in 18
brand slug:
wiki
category slug:
encyclopedia
description:
On angles formed when a sphere is inscribed within a tetrahedron
original url:
https://en.wikipedia.org/wiki/Bang%27s_theorem_on_tetrahedra
date created:
2017-02-08T08:16:46Z
date modified:
2024-09-06T18:09:51Z
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image:
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fields total:
13
integrity:
16