通过准环多边形最大化多边形的面积

Pub Date : 2024-03-27 DOI:10.1556/012.2023.04304

Giuseppina Anatriello, Giovanni Vincenzi

{"title":"通过准环多边形最大化多边形的面积","authors":"Giuseppina Anatriello, Giovanni Vincenzi","doi":"10.1556/012.2023.04304","DOIUrl":null,"url":null,"abstract":"Based on Peter’s work from 2003, quadrilaterals can be characterized in the following way: “among all quadrilaterals with given side lengths 𝑎, 𝑏, 𝑐 and 𝑑, 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.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Maximizing the Area of Polygons via Quasicyclic Polygons\",\"authors\":\"Giuseppina Anatriello, Giovanni Vincenzi\",\"doi\":\"10.1556/012.2023.04304\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Based on Peter’s work from 2003, quadrilaterals can be characterized in the following way: “among all quadrilaterals with given side lengths 𝑎, 𝑏, 𝑐 and 𝑑, 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.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1556/012.2023.04304\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1556/012.2023.04304","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

根据彼得 2003 年的研究成果，四边形的特征如下："在所有边长为 𝑎, 𝑏, 𝑐 和 𝑑 的四边形中，面积最大的正是循环四边形。在本文中，我们将通过准循环多边形的性质，给出每个多边形的相应特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Maximizing the Area of Polygons via Quasicyclic Polygons

Based on Peter’s work from 2003, quadrilaterals can be characterized in the following way: “among all quadrilaterals with given side lengths 𝑎, 𝑏, 𝑐 and 𝑑, 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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助