{"title":"n-gon centers and central lines","authors":"Marta Farré Puiggalí, Luis Felipe Prieto-Martínez","doi":"10.1007/s00010-024-01100-1","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we provide a review of the concept of center of an <i>n</i>-gon, generalizing the original idea given by C. Kimberling for triangles. We also generalize the concept of central line for <i>n</i>-gons for <span>\\(n\\ge 3\\)</span> and establish its basic properties.\n</p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"98 4","pages":"895 - 919"},"PeriodicalIF":0.9000,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Aequationes Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00010-024-01100-1","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we provide a review of the concept of center of an n-gon, generalizing the original idea given by C. Kimberling for triangles. We also generalize the concept of central line for n-gons for \(n\ge 3\) and establish its basic properties.
期刊介绍：
aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.
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