Rotation indices related to Poncelet’s closure theorem

• Autorzy: Waldemar Cieślak , Horst Martini , Witold Mozgawa
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2014
• Tom: 68
• Numer: 2

Daty

wydano

2014

online

2015-05-23

Twórcy

autor

Waldemar Cieślak

autor

Horst Martini

autor

Witold Mozgawa

Bibliografia

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Identyfikatory

DOI

10.17951/a.2014.68.2.19