Weberian focal-directorial curves. Geometric genesis and form variation

DOI10.1007/s00004-020-00522-zzbMath1497.00042OpenAlexW3096137567MaRDI QIDQ2088440

Maja Petrović, Radovan Štulić, Branko J. Malešević

Publication date: 21 October 2022

Published in: Nexus Network Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00004-020-00522-z

zbMATH Keywords

Fermat-Torricelli pointgeometric inequalityWeber location problemMaxwell's curvesWeberian focal-directorial curves

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Mathematics and architecture (00A67)

Cites Work

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• A focal curve approximation of a Borromini oval contour
• Two new analytical solutions and two new geometrical solutions for the weighted Fermat-Torricelli problem in the Euclidean plane
• The theory of the egglipse—a new curve with three focal points
• On the extension of the Erdös-Mordell type inequalities
• On the Erdös-Mordell inequality for triangles in taxicab geometry

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