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 > k.
@article{bwmeta1.element.ojs-doi-10_17951_a_2014_68_2_19,
author = {Waldemar Cie\'slak and Horst Martini and Witold Mozgawa},
title = {Rotation indices related to Poncelet's closure theorem},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {68},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2014_68_2_19}
}
Waldemar Cieślak; Horst Martini; Witold Mozgawa. Rotation indices related to Poncelet’s closure theorem. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 68 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2014_68_2_19/
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