Nowe cechy równobocznych trójkątów
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 6 (2014) no. 1, pp. 5-18
Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library
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
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/
@article{AUPCDM_2014_6_1_a0,
author = {Biesiada, Micha{\l} and G\'orowski, Jan and {\L}omnicki, Adam},
title = {Nowe cechy r\'ownobocznych tr\'ojk\k{a}t\'ow},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia},
pages = {5--18},
year = {2014},
volume = {6},
number = {1},
language = {pl},
url = {http://geodesic.mathdoc.fr/item/AUPCDM_2014_6_1_a0/}
}
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