Euclidean geometry problems rephrased in terms of midpoints and point-reflections

DOI10.4171/EM/3zbMath1082.51011OpenAlexW2009569868MaRDI QIDQ2570239

Victor V. Pambuccian

Publication date: 27 October 2005

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/em/3

zbMATH Keywords

axiomatic geometryEuler linereverse analysisregressive analysismidpoint geometry

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Euclidean geometries (general) and generalizations (51M05)

Related Items (4)

Invertible medial algebras and a group of operations. ⋮ Gheorghe Ţiţeica and the origins of affine differential geometry ⋮ Transitive modes ⋮ Unnamed Item

Cites Work

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• Der Schwerpunkt, die Eulersche Gerade und der Feuerbachsche Kreis in der absoluten Geometrie
• An Affine Generalization of the Euler Line
• A methodologically pure proof of a convex geometry problem

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