{"title":"A characterization of the focals of hyperbolas","authors":"Paris Pamfilos","doi":"10.4171/EM/390","DOIUrl":null,"url":null,"abstract":"In this article we prove a property characterizing the focal points of hyperbolas. 1 Chords through a point The property which we discuss here relates to the tangents of a hyperbola at the end points of a chord and their intersections with the asymptotes of the hyperbola. It is formulated by the following lemma.","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":" ","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2019-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/EM/390","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Elemente der Mathematik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/EM/390","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article we prove a property characterizing the focal points of hyperbolas. 1 Chords through a point The property which we discuss here relates to the tangents of a hyperbola at the end points of a chord and their intersections with the asymptotes of the hyperbola. It is formulated by the following lemma.