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Factorisation des polynômes de Poncelet

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Abstract

La condition pour qu’il existe des n-gones de Poncelet, inscrits dans un cercle, et circonscrits à un autre cercle, est polynomiale en les paramètres définissant ces deux cercles. Nous décomposons ces polynômes “de Poncelet” en facteurs irréductibles que nous interprétons géométriquement.

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  1. Laboratoire de Mathématiques – UMR 8628, Université Paris-Sud, Orsay, 91405, France

    Dominique Hulin

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  1. Dominique Hulin
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Correspondence to Dominique Hulin.

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Hulin, D. Factorisation des polynômes de Poncelet. Geom Dedicata 130, 109–136 (2007). https://doi.org/10.1007/s10711-007-9208-y

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  • DOI: https://doi.org/10.1007/s10711-007-9208-y

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