On hypotheses by L.~Steingarts
Matematičeskoe obrazovanie, Tome 67 (2013) no. 3, pp. 40-56

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Professor L.Steingarts has launched several hypotheses that some specially constructed points of a triangle belong to one quadratic curve. Some of these hypotheses are denied and some are proven in the paper.
Keywords: Shteingart hypothesis of an ellipse connected with conic triangle, barycentric coordinates, special cases.
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D. S. Grigoryev; A. G. Myakishev. On hypotheses by L.~Steingarts. Matematičeskoe obrazovanie, Tome 67 (2013) no. 3, pp. 40-56. http://geodesic.mathdoc.fr/item/MO_2013_67_3_a3/