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}
}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.
3 Citations
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