The Feuerbach circle and orthocentricity in normed places

zbMath1144.52001MaRDI QIDQ2425366

Margarita Spirova, Horst Martini

Publication date: 29 April 2008

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

circumcentercentroidthree-circle theoremJames orthogonalitystrictly convex normed planeFeuerbach circle\(\mathcal C\)-orthocentric systemassociated trianglestrictly convex Minkowski plane

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Minkowski geometries in nonlinear incidence geometry (51B20)

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Minkowski Geometry—Some Concepts and Recent Developments ⋮ Classical curve theory in normed planes ⋮ An analytic proof of a theorem of Grace ⋮ Geometry where direction matters -- or does it? ⋮ Concurrency of the altitudes of a triangle ⋮ On translative coverings of convex bodies ⋮ On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces ⋮ On orthocentric systems in Minkowski planes ⋮ On Miquel's theorem and inversions in normed planes ⋮ On regular figures in normed planes ⋮ Geometry of simplices in Minkowski spaces ⋮ A new type of orthogonality for normed planes ⋮ On regular 4-coverings and their application for lattice coverings in normed planes ⋮ Circle geometry in affine Cayley-Klein planes ⋮ Discrete Geometry in Minkowski Spaces

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