Based on Peter's work from 2003, quadrilaterals can be characterized in the following way: "among all quadrilaterals with given side lengths , , and , those of the largest possible area are exactly the cyclic ones". In this paper, we will give the corresponding characterization for every polygon, by means of quasicyclic polygons properties.
Maximizing the Area of Polygons via Quasicyclic Polygons / Anatriello, Giuseppina; Vincenzi, Giovanni. - In: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. - ISSN 0081-6906. - 61:1(2024), pp. 43-58. [10.1556/012.2023.04304]
Maximizing the Area of Polygons via Quasicyclic Polygons
Anatriello, Giuseppina;Vincenzi, Giovanni
2024
Abstract
Based on Peter's work from 2003, quadrilaterals can be characterized in the following way: "among all quadrilaterals with given side lengths , , and , those of the largest possible area are exactly the cyclic ones". In this paper, we will give the corresponding characterization for every polygon, by means of quasicyclic polygons properties.File in questo prodotto:
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