{"title":"THE POWER OF A POINT — A VECTOR PERSPECTIVE","authors":"Boyko B. Bantchev","doi":"10.53656/math2023-1-2-the","DOIUrl":null,"url":null,"abstract":"Vector algebra is a very effective calculation language for doing geometry. It is expressive and succinct, and tends to foster generality and simplicity. In this article we consider from a vector perspective a series of problems concerning circles. After presenting a simple but so far seemingly unnoticed property of the notion of power of a point, we show its application to constructing solutions to the problems.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"78 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53656/math2023-1-2-the","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
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Abstract
Vector algebra is a very effective calculation language for doing geometry. It is expressive and succinct, and tends to foster generality and simplicity. In this article we consider from a vector perspective a series of problems concerning circles. After presenting a simple but so far seemingly unnoticed property of the notion of power of a point, we show its application to constructing solutions to the problems.
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