Geodesic
Hypotheses on Medians, Heights, Bisectors and ... Ellipses
Matematičeskoe obrazovanie, no. 2 (2012), pp. 41-48 Cet article a éte moissonné depuis la source Math-Net.Ru

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Six points connected in a special way to a triangle happen in some special cases to belong to one ellipse. The hypotheses are found by computer modelling. 
@article{MO_2012_2_a3,
     author = {L. Steyngarts},
     title = {Hypotheses on {Medians,} {Heights,} {Bisectors} and ... {Ellipses}},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {41--48},
     year = {2012},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2012_2_a3/}
}
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L. Steyngarts. Hypotheses on Medians, Heights, Bisectors and ... Ellipses. Matematičeskoe obrazovanie, no. 2 (2012), pp. 41-48. http://geodesic.mathdoc.fr/item/MO_2012_2_a3/