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
Available at: http://works.bepress.com/branko_curgus/12/