Biot의 원뿔곡선에 관한 conjecture의 재해석
Reinterpretation of the Biot‘s Conjecture on Conics
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In this study, we investigate the latus rectum, one of the geometric measures of the conics, as one of the ways in which learners harmonize the geometric and algebraic approaches to conics from a pedagogical point of view. We also introduce the conical curve of Biot as presented in ‘The Discourse on the Latus Rectum in conics(2013)’ by Takeshi Sugimoto and reinterpret it for visualization and use as teaching material. Therefore, we expect that the importance of mathematical concepts will be recognized in conics and students can experience geometry learning that is explored in the school field and have a positive effect in developing the power to apply even in the context of applied problems.
Abstract
In this study, we investigate the latus rectum, one of the geometric measures of the conics, as one of the ways in which learners harmonize the geometric and algebraic approaches to conics from a pedagogical point of view. We also introduce the conical curve of Biot as presented in ‘The Discourse on the Latus Rectum in conics(2013)’ by Takeshi Sugimoto and reinterpret it for visualization and use as teaching material. Therefore, we expect that the importance of mathematical concepts will be recognized in conics and students can experience geometry learning that is explored in the school field and have a positive effect in developing the power to apply even in the context of applied problems.
참고문헌 (11)
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- 김향숙, "원뿔곡선에 관한 Apollonius의 Symptoms 재조명과 시각화", 수학교육, 52(1), pp.83~95 (2013), 한국수학교육학회
- , 2015
- 정해남, "예비수학교사를 위한 수학사 활용 방안", 한국수학사학회지, 25(3), pp.141~157 (2012), 한국수학사학회[DOI]
- 한인기, "슈타이너·레무스 정리에 대한 다양한 증명 방법", 한국수학사학회지, 17(3), pp.93~108 (2004), 한국수학사학회
- Biot, J. B., "Traite analytique des courbes surfaces du second degre", pp.xxiv~ (1802), Crapelet
- Coolidge, J. L, "A History of the Conic Sections and Quadric Surfaces", pp.214~ (1968), Dover Pub., Inc
- Coxeter, H. S. M., "Introduction to Geometry", pp.470~ (1989), John Wiley & Sons, Inc
- Heath, T. L, "Apollonius of Perga, Treatise on conic sections-The conics of Apollonius" (1896), the university press
- Heath, T. L, "The woks of Archimedes" (1897), Cambridge Univ. Press
- Takeshi Sugimoto, "Discourse on the Latus Rectum in conics", symmetry: culture and science, 24(1-4), pp.295~309 (2013)