On orthocentric systems in Minkowski planes

DOI10.1007/s13366-014-0214-6zbMath1321.51018arXiv1402.3753OpenAlexW1975151960MaRDI QIDQ2257004

Tobías Rosas Soto, Wilson Pacheco Redondo

Publication date: 23 February 2015

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3753

zbMATH Keywords

isosceles orthogonalityBirkhoff orthogonalityMinkowski planesthree-circles theoremEuler's line\(\mathcal C\)-orthocenters\(\mathcal C\)-orthocentric systemssix-point circle

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (1)

Orthogonality in Generalized Minkowski Spaces

Cites Work

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• Characterizations of inner product spaces
• The Feuerbach circle and orthocentricity in normed places
• The geometry of Minkowski spaces -- a survey. II.
• Angle Measures and Bisectors in Minkowski Planes
• Planes with analogues to Euclidean angular bisectors.
• The geometry of Minkowski spaces -- a survey. I

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