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 |
| Creators | Hertrich-Jeromin, U., King, A. and O'Hara, J. |
| Departments | Faculty of Science > Mathematical Sciences |
| Refereed | Yes |
| Status | In Press |
| ID Code | 26681 |
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