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Ceva's Triangle Inequalities
Mathematical Inequalities and Applications (2014)
  • Branko Ćurgus, Western Washington University
  • Árpád Bényi, Western Washington University

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.

  • Triangle inequality,
  • Triangle inequality for cevians,
  • Cone preserving matrices,
  • Common invariant cone
Publication Date
Publisher Statement
Published by Ele-Math,
Citation Information
Branko Ćurgus and Árpád Bényi. "Ceva's Triangle Inequalities" Mathematical Inequalities and Applications Vol. 17 Iss. 2 (2014)
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