Geodesic
On the Equality of Cevians: Beyond the Steiner-Lehmus Theorem
Journal for geometry and graphics, Tome 20 (2016) no. 2, pp. 185-207.

Voir la notice de l'article provenant de la source Heldermann Verlag

The aim of the present work is to investigate the relations in a triangle in order to have two cevians equal, given the fact that they intersect in a point of a third cevian. Obviously the Steiner Lehmus theorem deals with the specific case of cevians being angle-bisectors. All possible combinations of external or internal cevians, plus the possibilities of equicevian points are examined.
Classification : 51M04
Mots-clés : Cevians, A-equicevian points, equicevian points, Steiner-Lehmus Theorem 
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K. Myrianthis . On the Equality of Cevians: Beyond the Steiner-Lehmus Theorem. Journal for geometry and graphics, Tome 20 (2016) no. 2, pp. 185-207. http://geodesic.mathdoc.fr/item/JGG_2016_20_2_JGG_2016_20_2_a3/