On the Möbius geometry of Euclidean triangles
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We study the geometry of a Euclidean triangle from a Möbius geometric point of view. It turns out that its in- and ex-centers can be constructed in a symmetric and Möbius invariant way. We relate this construction to Thurston's center of symmetry of an ideal tetrahedron in hyperbolic space and discuss some implications for the Euclidean triangle.
|Creators||Hertrich-Jeromin, U., King, A. and O'Hara, J.|
|Departments||Faculty of Science > Mathematical Sciences|
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