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On M. T. Calapso's characterization of the metric of an absolute plane

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Publication:1021353
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DOI10.1007/S00022-008-2034-ZzbMath1169.51017OpenAlexW2038108736MaRDI QIDQ1021353

Victor V. Pambuccian, Rolf Struve

Publication date: 8 June 2009

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-008-2034-z


zbMATH Keywords

Euclidean metricabsolute planerectangle axiommetric planeplane with congruenceWolff plane


Mathematics Subject Classification ID

Absolute planes in metric geometry (51F05) Congruence and orthogonality in metric geometry (51F20) Euclidean geometries (general) and generalizations (51M05)


Related Items (7)

The Steiner-Lehmus theorem and ``triangles with congruent medians are isosceles hold in weak geometries ⋮ Ordered metric geometry ⋮ The geometry of point reflections and quasigroups ⋮ Metric Geometries in an Axiomatic Perspective ⋮ An axiomatic foundation of Cayley-Klein geometries ⋮ Mappings preserving the area equality of hyperbolic triangles are motions ⋮ The ubiquitous axiom







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