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On the Möbius geometry of Euclidean triangles


Reference:

Hertrich-Jeromin, U., King, A. and O'Hara, J., 2012. Forthcoming. On the Möbius geometry of Euclidean triangles. Elemente Math

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Abstract

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.

Details

Item Type Articles
CreatorsHertrich-Jeromin, U., King, A. and O'Hara, J.
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusIn Press
ID Code26681

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