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EXTREMAL PERIMETERS OF QUADRANGLES IN THE PONCELET PORISM

Published online by Cambridge University Press:  13 February 2015

WALDEMAR CIEŚLAK
Affiliation:
Politechnika Lubelska, Katedra Matematyki Stosowanej, ul. Nadbystrzycka 40, 20-618 Lublin, Poland email izacieslak@wp.pl
WITOLD MOZGAWA*
Affiliation:
Instytut Matematyki, Uniwersytet Marii Curie-Skłodowskiej, pl. Marii Curie-Skłodowskiej 1, 20-031 Lublin, Poland email mozgawa@poczta.umcs.lublin.pl
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Abstract

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Extremal problems for quadrangles circuminscribed in a circular annulus with the Poncelet porism property are considered. Quadrangles with the maximal and the minimal perimeters are determined. Two conjectures end the paper.

Type
Research Article
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

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