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원뿔의 절단으로서의 타원, 쌍곡선, 포물선의 유도
A derivation of the ellipse, hyperbola, and parabola as conic sections
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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
원뿔곡선; 절단 평면; 단델린의 구; 증명 방법; Conic sections; Cone-plane intersection; Dandelin sphere; Proof methods
- 제목
- 원뿔의 절단으로서의 타원, 쌍곡선, 포물선의 유도
- 제목 (타언어)
- A derivation of the ellipse, hyperbola, and parabola as conic sections
- 저자
- 한인기
- 발행일
- 2025-05
- 유형
- Article
- 저널명
- Journal of the Korean Society of Mathematical Education Series B-theoretical Mathematics and Pedagogical Mathematics
- 권
- 32
- 호
- 2
- 페이지
- 113 ~ 137