Extremal Perimeters of Quadrangles in The poncelet Porism

Cieślak, Waldemar; Mozgawa, Witold

doi:10.1017/s0004972714001142

Bull. Aust. Math. Soc.

2015

DOI: 10.1017/s0004972714001142

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Extremal Perimeters of Quadrangles in The poncelet Porism

Waldemar Cieślak¹,

Witold Mozgawa²

Abstract: 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.2010 Mathematics subject classification: primary 51M04; secondary 51N20, 52A10, 53A04.

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Extremal Perimeters of Quadrangles in The poncelet Porism

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