Coincidences of simplex centers and related facial structures

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dc.creatorEdmonds, Allan L.
dc.creatorHajja, Mowaffaq
dc.creatorMartini, Horst
dc.date2004-11-04
dc.date.accessioned2026-07-07T05:13:58Z
dc.date.available2026-07-07T05:13:58Z
dc.descriptionWe investigate the geometric properties of simplices in Euclidean d-dimensional space for which two or more of the analogues of the classical triangle centers (including the centroid, circumcenter, incenter, orthocenter or Monge point, and the Fermat-Torricelli point) coincide. We also investigate the geometric significance of the cevian line segments through a given center having the same length. We give a unified presentation, including known results for d=2 and d=3.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0411093
dc.identifierhttp://arxiv.org/abs/math/0411093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73107
dc.subjectMetric Geometry
dc.subject52B11 (Primary), 51M20 (Secondary)
dc.titleCoincidences of simplex centers and related facial structures
dc.typetext

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