{"title":"在 \"geogebra \"模拟的数学机器中抛物线定义的等价性","authors":"Georgios K. Ntontos, Eugenia Koleza","doi":"10.46827/ejes.v11i1.5171","DOIUrl":null,"url":null,"abstract":"This paper aims to highlight two historical parabolographs and a third one that is at the design level and to prove the equivalence of the respective definitions of parabola they contain. Specifically, using the Geogebra math software, each mechanism is attempted to articulate another, so that by moving the cursor of the original mechanism to the common output of the two articulated mechanisms, the same parabola is drawn. This proves the equivalence of definitions of parabolic curve as well as of suitably articulated mathematical machines.<p> </p><p><strong> Article visualizations:</strong></p><p><img src=\"/-counters-/soc/0661/a.php\" alt=\"Hit counter\" /></p>","PeriodicalId":93285,"journal":{"name":"European journal of education studies","volume":" 100","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"EQUIVALENCE OF PARABOLA΄S DEFINITIONS WITHIN MATHEMATICAL MACHINES SIMULATED BY “GEOGEBRA”\",\"authors\":\"Georgios K. Ntontos, Eugenia Koleza\",\"doi\":\"10.46827/ejes.v11i1.5171\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper aims to highlight two historical parabolographs and a third one that is at the design level and to prove the equivalence of the respective definitions of parabola they contain. Specifically, using the Geogebra math software, each mechanism is attempted to articulate another, so that by moving the cursor of the original mechanism to the common output of the two articulated mechanisms, the same parabola is drawn. This proves the equivalence of definitions of parabolic curve as well as of suitably articulated mathematical machines.<p> </p><p><strong> Article visualizations:</strong></p><p><img src=\\\"/-counters-/soc/0661/a.php\\\" alt=\\\"Hit counter\\\" /></p>\",\"PeriodicalId\":93285,\"journal\":{\"name\":\"European journal of education studies\",\"volume\":\" 100\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European journal of education studies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46827/ejes.v11i1.5171\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European journal of education studies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46827/ejes.v11i1.5171","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
EQUIVALENCE OF PARABOLA΄S DEFINITIONS WITHIN MATHEMATICAL MACHINES SIMULATED BY “GEOGEBRA”
This paper aims to highlight two historical parabolographs and a third one that is at the design level and to prove the equivalence of the respective definitions of parabola they contain. Specifically, using the Geogebra math software, each mechanism is attempted to articulate another, so that by moving the cursor of the original mechanism to the common output of the two articulated mechanisms, the same parabola is drawn. This proves the equivalence of definitions of parabolic curve as well as of suitably articulated mathematical machines.
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