{"title":"不用文字的证明:等分四边形的周长","authors":"Thomas E. Cooper","doi":"10.1080/07468342.2023.2274250","DOIUrl":null,"url":null,"abstract":"SummaryWe extend a result from triangles to quadrilaterals and prove without words that circles externally tangent to a side and tangent to the extended adjacent sides can be used to bisect the perimeter of the quadrilateral.","PeriodicalId":38710,"journal":{"name":"College Mathematics Journal","volume":"66 3","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Proof Without Words: Bisecting a Quadrilateral’s Perimeter\",\"authors\":\"Thomas E. Cooper\",\"doi\":\"10.1080/07468342.2023.2274250\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"SummaryWe extend a result from triangles to quadrilaterals and prove without words that circles externally tangent to a side and tangent to the extended adjacent sides can be used to bisect the perimeter of the quadrilateral.\",\"PeriodicalId\":38710,\"journal\":{\"name\":\"College Mathematics Journal\",\"volume\":\"66 3\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-10\",\"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/10.1080/07468342.2023.2274250\",\"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/10.1080/07468342.2023.2274250","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Social Sciences","Score":null,"Total":0}
Proof Without Words: Bisecting a Quadrilateral’s Perimeter
SummaryWe extend a result from triangles to quadrilaterals and prove without words that circles externally tangent to a side and tangent to the extended adjacent sides can be used to bisect the perimeter of the quadrilateral.
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