원뿔의 절단으로서의 타원, 쌍곡선, 포물선의 유도
A derivation of the ellipse, hyperbola, and parabola as conic sections
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초록

This study examines historical approaches to deriving conic sections-ellipse, hyperbola, and parabola-as intersections of a cone and aplane. Focusing on two early 20th-century textbooks from the Real Gymnasium, it analyzes the mathematical knowledge and proof methods used in each. By comparing different approaches and tools, the study provides a systematic understanding of how conic sections were logically derived. The findings offer insights into teaching analytic geometry in secondary education through historically grounded methods.

키워드

원뿔곡선절단 평면단델린의 구증명 방법Conic sectionsCone-plane intersectionDandelin sphereProof methods
제목
원뿔의 절단으로서의 타원, 쌍곡선, 포물선의 유도
제목 (타언어)
A derivation of the ellipse, hyperbola, and parabola as conic sections
저자
한인기
DOI
10.7468/jksmeb.2025.32.2.113
발행일
2025-05
유형
Article
저널명
Journal of the Korean Society of Mathematical Education Series B-theoretical Mathematics and Pedagogical Mathematics
32
2
페이지
113 ~ 137