A square in a curve - Colegiul Ortodox "Mitropolitul Nicolae Colan" (Cluj-Roumanie)

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Résumé de la production
We draw a closed curve on the plane. Can we always choose 4 distinct points on this curve, A, B, C, D, such that ABCD forms a square?
We took some particular curves and we found out that there exist four points on these particular curves to obtained a square.
Lecture conseillée
à partir du lycée