Ceva's triangle inequalities

Árpád Bényi; Branko Ćurgus

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arXiv · 1206.1636

Ceva's triangle inequalities

Árpád Bényi·Branko Ćurgus

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Abstract

We characterize triples of cevians which form a triangle independent of the triangle where they are constructed. This problem is equivalent to solving a three-parameter family of inequalities which we call Ceva's triangle inequalities. Our main result provides the parametrization of the solution set.

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Árpád Bényi, Branko Ćurgus. 2013-01-16. Ceva's triangle inequalities. https://arxiv.org/abs/1206.1636

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