Geodesic
Metric properties of poncelet polygonal lines
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 43-47 
E. A. Avksentyev. Metric properties of poncelet polygonal lines. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 43-47. http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A generalization of the Radić-Kaliman theorem on metric relations in Poncelet polygonal curves is obtained in the papaer. A general principle for determination of condition for a closure of a Poncelet polygonal curve for two circles is derived from this result. In particular, explicit formulas for the inscribed-circumscribed $n$-gon for $n=5,6,8$ and an algorithm for finding such formulas for all $n$ are obtained.

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