Lippmann's axiom and Lebesgue's axiom are equivalent to the Lotschnittaxiom

DOI10.1007/s13366-019-00445-yzbMath1429.51004OpenAlexW2941826185WikidataQ114017089 ScholiaQ114017089MaRDI QIDQ2334485

Victor V. Pambuccian, Celia M. Schacht

Publication date: 7 November 2019

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

Full work available at URL: https://doi.org/10.1007/s13366-019-00445-y

zbMATH Keywords

absolute geometryLotschnittaxiomhyperbolic parallel postulate

Mathematics Subject Classification ID

Foundations of classical theories (including reverse mathematics) (03B30) Absolute planes in metric geometry (51F05)

Related Items (4)

Equilateral triangles have minimal area and perimeter among all triangles containing a given circle in Hilbert planes ⋮ The elementary Archimedean axiom in absolute geometry ⋮ The ubiquitous axiom ⋮ Two remarks on ordering in absolute planes

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