等长三角形边为完全正方形的等长三角形对

IF 0.5 Q3 MATHEMATICS FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2021-01-01 DOI:10.7169/facm/1985

A. Choudhry, A. S. Zargar

{"title":"等长三角形边为完全正方形的等长三角形对","authors":"A. Choudhry, A. S. Zargar","doi":"10.7169/facm/1985","DOIUrl":null,"url":null,"abstract":"In this paper we consider the problem of finding pairs of triangles whose sides are perfect squares of integers, and which have a common perimeter and common area. We find two such pairs of triangles, and prove that there exist infinitely many pairs of triangles with the specified properties. Mathematics Subject Classification 2020: 11D41","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Pairs of equiperimeter and equiareal triangles whose sides are perfect squares\",\"authors\":\"A. Choudhry, A. S. Zargar\",\"doi\":\"10.7169/facm/1985\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we consider the problem of finding pairs of triangles whose sides are perfect squares of integers, and which have a common perimeter and common area. We find two such pairs of triangles, and prove that there exist infinitely many pairs of triangles with the specified properties. Mathematics Subject Classification 2020: 11D41\",\"PeriodicalId\":44655,\"journal\":{\"name\":\"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7169/facm/1985\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7169/facm/1985","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

在本文中，我们考虑寻找三角形对的问题，这些三角形对的边是整数的完全平方，并且它们有共同的周长和共同的面积。我们找到了两个这样的三角形对，并证明存在无穷多个具有指定性质的三角形对。数学学科分类2020:11D41

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Pairs of equiperimeter and equiareal triangles whose sides are perfect squares

In this paper we consider the problem of finding pairs of triangles whose sides are perfect squares of integers, and which have a common perimeter and common area. We find two such pairs of triangles, and prove that there exist infinitely many pairs of triangles with the specified properties. Mathematics Subject Classification 2020: 11D41

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

来源期刊

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI MATHEMATICS-

CiteScore

0.80

自引率

20.00%

发文量