Another equivalent of the Lotschnittaxiom

DOI10.1007/s13366-016-0307-5zbMath1362.51004OpenAlexW2490881249MaRDI QIDQ515727

Victor V. Pambuccian

Publication date: 16 March 2017

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

Full work available at URL: https://doi.org/10.1007/s13366-016-0307-5

zbMATH Keywords

absolute geometryLotschnittaxiom

Mathematics Subject Classification ID

Absolute planes in metric geometry (51F05)

Related Items (4)

Parallel postulates and continuity axioms: a mechanized study in intuitionistic logic using Coq ⋮ The elementary Archimedean axiom in absolute geometry ⋮ The ubiquitous axiom ⋮ Lippmann's axiom and Lebesgue's axiom are equivalent to the Lotschnittaxiom

Cites Work

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• Die Modelle des Hilbertschen Axiomensystems der absoluten Geometrie
• Lotketten in metrischen Ebenen
• On the stepwise construction of the parallel postulate
• On the equivalence of Lagrange's axiom to the Lotschnittaxiom
• Zur Parallelenfrage
• Lotschnittebenen. Ein Beitrag zum Problem der algebraischen Beschreibung metrischer Ebenen.

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