{"title":"不用言语的证明:拉格朗日三角恒等式(下)","authors":"J. Balsam","doi":"10.1080/07468342.2023.2206782","DOIUrl":null,"url":null,"abstract":"Summary Lagrange’s Trigonometric Identity is usually proven analytically by summing a geometric series in the complex numbers. This Proof Without Words is purely geometric.","PeriodicalId":38710,"journal":{"name":"College Mathematics Journal","volume":"54 1","pages":"235 - 235"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Proof Without Words: Lagrange’s Trigonometric Identity (Part II)\",\"authors\":\"J. Balsam\",\"doi\":\"10.1080/07468342.2023.2206782\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary Lagrange’s Trigonometric Identity is usually proven analytically by summing a geometric series in the complex numbers. This Proof Without Words is purely geometric.\",\"PeriodicalId\":38710,\"journal\":{\"name\":\"College Mathematics Journal\",\"volume\":\"54 1\",\"pages\":\"235 - 235\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-16\",\"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/10.1080/07468342.2023.2206782\",\"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/10.1080/07468342.2023.2206782","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: Lagrange’s Trigonometric Identity (Part II)
Summary Lagrange’s Trigonometric Identity is usually proven analytically by summing a geometric series in the complex numbers. This Proof Without Words is purely geometric.