Ceva's triangle inequalities
Metric Geometry
2015-03-20 v3 Complex Variables
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1206.1636,
title = {Ceva's triangle inequalities},
author = {Árpád Bényi and Branko Ćurgus},
journal= {arXiv preprint arXiv:1206.1636},
year = {2015}
}
Comments
18 pages, 11 figures