{"title":"三角形的高度","authors":"Mark Mandelkern","doi":"10.1080/00029890.2023.2276635","DOIUrl":null,"url":null,"abstract":"A long-standing, unanswered question regarding Euclid’s Elements concerns the absence of a theorem for the concurrence of the altitudes of a triangle, and the possible reasons for this omission. Th...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"22 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Altitudes of a Triangle\",\"authors\":\"Mark Mandelkern\",\"doi\":\"10.1080/00029890.2023.2276635\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A long-standing, unanswered question regarding Euclid’s Elements concerns the absence of a theorem for the concurrence of the altitudes of a triangle, and the possible reasons for this omission. Th...\",\"PeriodicalId\":501497,\"journal\":{\"name\":\"The American Mathematical Monthly\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The American Mathematical Monthly\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00029890.2023.2276635\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The American Mathematical Monthly","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00029890.2023.2276635","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A long-standing, unanswered question regarding Euclid’s Elements concerns the absence of a theorem for the concurrence of the altitudes of a triangle, and the possible reasons for this omission. Th...