{"title":"交角","authors":"Liudmyla Hetmanenko","doi":"10.36074/grail-of-science.15.03.2024.038","DOIUrl":null,"url":null,"abstract":"The article demonstrates the concept of orthogonal circles and solves fundamental theorem problems involving right angles between circles. Special attention is paid to the orthogonality of two circles as in a right triangle, as well as the perpendicularity of the Apollonian circle to the respective circles. These problems can be considered both in math olympiads and in the study of geometry courses.","PeriodicalId":475097,"journal":{"name":"Grail of science","volume":" 43","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ANGLE BETWEEN INTERSECTING CIRCLES\",\"authors\":\"Liudmyla Hetmanenko\",\"doi\":\"10.36074/grail-of-science.15.03.2024.038\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article demonstrates the concept of orthogonal circles and solves fundamental theorem problems involving right angles between circles. Special attention is paid to the orthogonality of two circles as in a right triangle, as well as the perpendicularity of the Apollonian circle to the respective circles. These problems can be considered both in math olympiads and in the study of geometry courses.\",\"PeriodicalId\":475097,\"journal\":{\"name\":\"Grail of science\",\"volume\":\" 43\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Grail of science\",\"FirstCategoryId\":\"0\",\"ListUrlMain\":\"https://doi.org/10.36074/grail-of-science.15.03.2024.038\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Grail of science","FirstCategoryId":"0","ListUrlMain":"https://doi.org/10.36074/grail-of-science.15.03.2024.038","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The article demonstrates the concept of orthogonal circles and solves fundamental theorem problems involving right angles between circles. Special attention is paid to the orthogonality of two circles as in a right triangle, as well as the perpendicularity of the Apollonian circle to the respective circles. These problems can be considered both in math olympiads and in the study of geometry courses.
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