Two new analytical solutions and two new geometrical solutions for the weighted Fermat-Torricelli problem in the Euclidean plane

zbMath1326.51008arXiv1406.6230MaRDI QIDQ3195266

Anastasios N. Zachos

Publication date: 16 October 2015

Full work available at URL: https://arxiv.org/abs/1406.6230

zbMATH Keywords

weighted Fermat-Torricelli pointEuclidean constructionabsorbed caseconstruction by straight-edge and compassfloating case

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Geometric constructions in real or complex geometry (51M15) Inequalities and extremum problems in real or complex geometry (51M16) Geometrical methods for optimization problems in solid mechanics (74P20)

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A complete analytical treatment of the weighted Fermat-Torricelli point for a triangle ⋮ Weberian focal-directorial curves. Geometric genesis and form variation

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