On Generalizations of Conics and on a Generalization of the Fermat- Torricelli Problem

DOI10.2307/2588990zbMath0916.51016OpenAlexW4240828998MaRDI QIDQ4222421

T.-K. Strempel, Christian Gross

Publication date: 27 July 1999

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2588990

zbMATH Keywords

ellipseellipsoidFermat-Torricelli pointpolyellipsesSteiner Minimal TreesCartesian ovalsgeneralized conicsgardener's string construction

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04)

Related Items (12)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Classical curve theory in normed planes ⋮ The Fermat-Torricelli problem. I: A discrete gradient-method approach ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ On computable classes of equidistant sets: finite focal sets ⋮ Algorithms for bivariate medians and a Fermat-Torricelli problem for lines. ⋮ An introduction to the theory of generalized conics and their applications ⋮ Steiner reducing sets of minimum weight triangulations: Structure and topology ⋮ The size of a Minkowski ellipse that contains the unit ball ⋮ A proof of the Oja depth conjecture in the plane ⋮ On a lower and upper bound for the curvature of ellipses with more than two foci ⋮ On the reconstruction of the center of a projection by distances and incidence relations

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