{"title":"三角形相似时","authors":"Ricardo E. Rojas","doi":"10.1080/07468342.2022.2150506","DOIUrl":null,"url":null,"abstract":"Summary For any given triangle, we define its index of similarity. We then prove that two triangles are similar if and only if they share both an index of similarity and a pair of congruent angles.","PeriodicalId":38710,"journal":{"name":"College Mathematics Journal","volume":"54 1","pages":"68 - 69"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"When Triangles Are Similar\",\"authors\":\"Ricardo E. Rojas\",\"doi\":\"10.1080/07468342.2022.2150506\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary For any given triangle, we define its index of similarity. We then prove that two triangles are similar if and only if they share both an index of similarity and a pair of congruent angles.\",\"PeriodicalId\":38710,\"journal\":{\"name\":\"College Mathematics Journal\",\"volume\":\"54 1\",\"pages\":\"68 - 69\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"College Mathematics Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/07468342.2022.2150506\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Social Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"College Mathematics Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/07468342.2022.2150506","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Social Sciences","Score":null,"Total":0}
Summary For any given triangle, we define its index of similarity. We then prove that two triangles are similar if and only if they share both an index of similarity and a pair of congruent angles.
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