Abstract
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.
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Acknowledgement
The author appreciates Árpád Kurusa for his helpful discussions.
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Dedicated to László Leindler on his 80th birthday
Communicated by Á. Kurusa
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Kozma, J. Characterization of Euclidean geometry by existence of circumcenter or orthocenter. ActaSci.Math. 81, 685–698 (2015). https://doi.org/10.14232/actasm-015-518-0
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DOI: https://doi.org/10.14232/actasm-015-518-0