Hyperbolic is the only Hilbert geometry having circumcenter or orthocenter generally
A Hilbert geometry is hyperbolic if and only if the perpendicular bisectors or the altitudes of any trigon form a pencil. We also prove some interesting characterizations of the ellipse.
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2016
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| Sorozat: | BEITRAGE ZUR ALGEBRA UND GEOMETRIE
57 No. 1 |
| doi: | 10.1007/s13366-014-0233-3 |
| mtmt: | 2821409 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/15935 |