{"title":"Ellipse chains inscribed inside a parabola and integer sequences","authors":"G. Lucca","doi":"10.33039/AMI.2020.09.001","DOIUrl":null,"url":null,"abstract":"The paper presents formulas and conditions relevant to the construction of chains of mutually tangent ellipses inscribed inside a parabola. Moreover, some connections with certain integer sequences and Pythagorean triplets are shown.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":"9 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2020-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematicae et Informaticae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33039/AMI.2020.09.001","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
The paper presents formulas and conditions relevant to the construction of chains of mutually tangent ellipses inscribed inside a parabola. Moreover, some connections with certain integer sequences and Pythagorean triplets are shown.