%0 Journal Article %T Ceva's triangle inequalities %A ¨¢rp¨¢d B¨¦nyi %A Branko £¿urgus %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1206.1636v3