Ceva’s and Menelaus’ theorems in projective-metric spaces
We prove that Ceva’s and Menelaus’ theorems are valid in a projective-metric space if and only if the space is any of the elliptic geometry, the hyperbolic geometry, or the Minkowski geometries. © 2019, The Author(s).
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
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| Sorozat: | JOURNAL OF GEOMETRY
110 No. 2 |
| doi: | 10.1007/s00022-019-0495-x |
| mtmt: | 30852537 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/18708 |
| Tartalmi kivonat: | We prove that Ceva’s and Menelaus’ theorems are valid in a projective-metric space if and only if the space is any of the elliptic geometry, the hyperbolic geometry, or the Minkowski geometries. © 2019, The Author(s). |
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| Terjedelem/Fizikai jellemzők: | Azonosító: 39-Terjedelem: 12 p |
| ISSN: | 0047-2468 |