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Яндекс.Метрика

DOI: 10.46698/o1944-0990-7792-e

One Application of Ptolemy's Theorem

Nikonorov, Yu. G. , Oskorbin, D. N.
Vladikavkaz Mathematical Journal 2025. Vol. 27. Issue 4.
Abstract:
In this paper, we present a simple proof of one result from a recent paper by Yu. G. Nikonorov and O. Yu. Nikonorova, the original proof of which is rather cumbersome and based on the study of polynomial ideals and symbolic computations using a computer. The new proof is based on Ptolemy's theorem on inscribed quadrilaterals. In addition, other properties of inscribed quadrilaterals and related problems are considered.
Keywords: convex polygon, convex quadrilateral, extremal problems, inscribed quadrilateral, integer pentagon, perimeter, Ptolemy's theorem
Language: English
For citation: Nikonorov, Yu. G. and Oskorbin, D. N. One Application of Ptolemy's Theorem, Vladikavkaz Math. J., 2025, vol. 27, no. 4, pp.103-108. DOI 10.46698/o1944-0990-7792-e
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