Geodesic
Elementary proof of Steinharz hypothesis
Matematičeskoe obrazovanie, Tome 75 (2015) no. 3, pp. 2-13

Voir la notice de l'article provenant de la source Math-Net.Ru

Let a triangle be divided in six smaller triangles by bisectors. The Steinharz hypothesis claims that the centers of the incircles of these six triangles belong to an ellipsis. The authors suggest an elementary proof.
Keywords: subdivision of a triangle by its bysectors, centers of the incircles of the subdivision triangles, the common ellipsis of the centers. 
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O. R. Kayumov; K. E. Kashirina. Elementary proof of Steinharz hypothesis. Matematičeskoe obrazovanie, Tome 75 (2015) no. 3, pp. 2-13. http://geodesic.mathdoc.fr/item/MO_2015_75_3_a0/