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Results tagged with projective-geometry
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user 26845
7
votes
Accepted
Does every ellipse inside a tetrahedron inside a ball fit in a triangle inside the ball?
Mihai-Dorian Vidrighin has suggested the following idea. (He's asked me to post it because he can't post images.)
For simplicity, assume that the setup is "tight" in that $E$ meets every face of $T$ …
22
votes
6
answers
2k
views
Does every ellipse inside a tetrahedron inside a ball fit in a triangle inside the ball?
In three-dimensional euclidean space, consider the closed unit ball $B$. Let $T$ be a tetrahedron, and $E$ an ellipse, with $E \subset T \subset B$. Does there necessarily exist a triangle $T'$ with $ …
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