Area, perimeter and cocyclical polygons

Jean-Christophe Léger

doi:10.32513/tmj/1932200812

Abstract

We give altenative proofs of results of G. Khimshiashvili and collaborators on polygonal linkages which are critical points for the area functional under various edge lengths constraints.

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Jean-Christophe Léger. "Area, perimeter and cocyclical polygons." Tbilisi Math. J. 14 (1) 15 - 40, March 2021. https://doi.org/10.32513/tmj/1932200812

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Received: 15 November 2019; Accepted: 15 December 2020; Published: March 2021

First available in Project Euclid: 1 April 2021

Digital Object Identifier: 10.32513/tmj/1932200812

Subjects:

Primary: 52B70

Secondary: 52B99

Keywords: area , critical point , Isoperimetry , perimeter , Polygon space

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