Ceva's triangle inequalities
  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. 
\'Arp\'ad B\'enyi, Branko \'Curgus
math.MG math.CV math.SG