Poncelet’s porism in transformation group framework

• Autorzy: Cieślak W. , Felińska H , Szuster J. , Mozgawa W.
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce a transformation group connected with Poncelet’s porism. Several open questions following from our considerations end the paper. The aim of this paper is to give a new approach to find an algebraic Fuss-type formula for all natural n>2. Developed method may be applied to investigations of Poncelet’s porism.

Słowa kluczowe

EN

transformation group; Poncelet's porism

• Wydawca: Lublin University of Technology ; Polish Society of Ecological Engineering (PTIE), Branch of PTIE in Lublin
• Czasopismo: Advances in Science and Technology. Research Journal
• Rocznik: 2014
• Tom: Vol. 8, nr 24
• Strony: 28--31
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Cieślak W.

• Department of Applied Mathematics, Lublin University of Technology, Nadbystrzycka 38, 20-618 Lublin, Poland

autor

Felińska H

• Department of Applied Mathematics, Lublin University of Technology, Nadbystrzycka 38, 20-618 Lublin, Poland

autor

Szuster J.

• Department of Applied Mathematics, Lublin University of Technology, Nadbystrzycka 38, 20-618 Lublin, Poland

autor

Mozgawa W.

• Institute of Mathematics, Maria Curie-Sklodowska University, M. Curie-Skłodowskiej 1 Sq., 20-031 Lublin, Poland

Bibliografia

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• 4. Cieślak W., Martini H., Mozgawa W.: On the rotation index of bar billiards and Poncelet’s porism. Bull. Belg. Math. Soc. Simon Stevin 20, 2013, 287–300.
• 5. Cieślak W., Martini H., Mozgawa W.: Rotation indices related to Poncelet’s closure theorem. To appear in Ann. Univ. Mariae Curie-Skłodowska.
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• 7. Schoenberg I.J.: On Jacobi-Bertrand’s proof of a Theorem of Poncelet. Studies in Pure Mathematics to the Memory of Paul Turan, Basel, Switzerland, Birkhäuser, 1983, 623–627.
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