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JOURNALS // Mathematical Education // Archive

Math. Ed., 2013 Issue 3(67), Pages 40–56 (Mi mo54)

Students and teachers of mathematical specialties

On hypotheses by L. Steingarts

D. S. Grigoryev, A. G. Myakishev


Abstract: 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.

UDC: 514.112

Received: 13.02.2013



© Steklov Math. Inst. of RAS, 2026