Geodesic
Rotation indices related to Poncelet’s closure theorem
Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 68 (2014) no. 2 
Cieślak, Waldemar; Martini, Horst; Mozgawa, Witold. Rotation indices related to Poncelet’s closure theorem. Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 68 (2014) no. 2. http://geodesic.mathdoc.fr/item/AUM_2014_68_2_a6/
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Voir la notice de l'article provenant de la source Library of Science

Let CRCr denote an annulus formed by two non-concentric circles CR, Cr in the Euclidean plane. We prove that if Poncelet’s closure theorem holds for k-gons circuminscribed to CRCr, then there exist circles inside this annulus which satisfy Poncelet’s closure theorem together with Cr, with n- gons for any n gt; k.

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