Geodesic
Nowe cechy równobocznych trójkątów
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 6 (2014) no. 1, pp. 5-18.

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In this paper the authors formulate and prove several conditions fortriangle to be equilateral. These conditions are associated with Gergonne,Nagel and Torricelli points and were obtained by composing and solvingthe so-called ‘enforcement tasks’. Both, the method and the results, can beused to trigger some mathematical student activities at different levels ofeducation or even some teacher activities.
Keywords: equilateral triangle, Georgonne point, Nagel point, Torricelli point 
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Biesiada, Michał; Górowski, Jan; Łomnicki, Adam. Nowe cechy równobocznych trójkątów. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 6 (2014) no. 1, pp. 5-18. http://geodesic.mathdoc.fr/item/AUPCDM_2014_6_1_a0/