Characterization of Euclidean geometry by existence of circumcenter or orthocenter
A Minkowski geometry is Euclidean if and only if the altitudes of any trigon are concurrent. A Minkowski geometry is Euclidean if and only if the perpendicular bisectors of any trigon are concurrent.
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
|
| Sorozat: | Acta scientiarum mathematicarum
81 No. 3-4 |
| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-015-518-0 |
| Online Access: | http://acta.bibl.u-szeged.hu/36474 |
| Tartalmi kivonat: | A Minkowski geometry is Euclidean if and only if the altitudes of any trigon are concurrent. A Minkowski geometry is Euclidean if and only if the perpendicular bisectors of any trigon are concurrent. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 685-698 |
| ISSN: | 0001-6969 |