{"title":"用三角形划分的Steinhaus问题研究相似性","authors":"Oğuzhan Demirel, Leyla Aslan, Damla Topal","doi":"10.36753/mathenot.615168","DOIUrl":null,"url":null,"abstract":"H. Steinhaus [1] has asked whether inside each acute triangle there is a point from which perpendiculars to the sides divide the triangle into three parts of equal areas. In this paper we present a new characteristic of similarities by use of the Steinhaus’ Problem on partition of a triangle.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"175 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles\",\"authors\":\"Oğuzhan Demirel, Leyla Aslan, Damla Topal\",\"doi\":\"10.36753/mathenot.615168\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"H. Steinhaus [1] has asked whether inside each acute triangle there is a point from which perpendiculars to the sides divide the triangle into three parts of equal areas. In this paper we present a new characteristic of similarities by use of the Steinhaus’ Problem on partition of a triangle.\",\"PeriodicalId\":127589,\"journal\":{\"name\":\"Mathematical Sciences and Applications E-Notes\",\"volume\":\"175 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Sciences and Applications E-Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36753/mathenot.615168\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/mathenot.615168","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
H. Steinhaus[1]曾问,在每个锐角三角形中是否有一个点,从该点开始,与各边的垂线将三角形分成三部分,面积相等。本文利用三角剖分的Steinhaus问题,给出了一个新的相似性特征。
A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles
H. Steinhaus [1] has asked whether inside each acute triangle there is a point from which perpendiculars to the sides divide the triangle into three parts of equal areas. In this paper we present a new characteristic of similarities by use of the Steinhaus’ Problem on partition of a triangle.