On the Möbius geometry of Euclidean triangles

Udo Hertrich-Jeromin, Alastair King, Jun O'Hara

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)96-114
JournalElemente der Mathematik
Issue number3
Publication statusPublished - 2013


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