Ceva’s and Menelaus’ theorems in projective-metric spaces

@article{Kurusa2019CevasAM,
  title={Ceva’s and Menelaus’ theorems in projective-metric spaces},
  author={{\'A}rp{\'a}d Kurusa},
  journal={Journal of Geometry},
  year={2019},
  volume={110},
  pages={1-12}
}
  • Á. Kurusa
  • Published 12 July 2019
  • Mathematics
  • Journal of Geometry
AbstractWe 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.  

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Hungary e-mail: kurusa@math.u-szeged