Euler's inequality in absolute geometry

DOI10.1007/S00022-018-0414-6zbMath1395.51009OpenAlexW2793489465MaRDI QIDQ1754390

Victor V. Pambuccian, Celia M. Schacht

Publication date: 30 May 2018

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

Full work available at URL: https://doi.org/10.1007/s00022-018-0414-6

zbMATH Keywords

areaEuler's inequalityinscribed circlecircumscribed circleabsolute plane geometry

Mathematics Subject Classification ID

Absolute planes in metric geometry (51F05) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (1)

Equilateral triangles have minimal area and perimeter among all triangles containing a given circle in Hilbert planes

Cites Work

• The elementary geometric potential of the Euler inequality
• On the existence of a equilateral triangle in \(H\)-planes
• Absolute geometry proofs of two geometric inequalities of Chisini
• The Erdős-Mordell inequality is equivalent to non-positive curvature
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