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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.32 No.2

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원뿔의 절단으로서의 타원, 쌍곡선, 포물선의 유도

A derivation of the ellipse, hyperbola, and parabola as conic sections

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2025, v.32 no.2, pp.113-137
https://doi.org/10.7468/jksmeb.2025.32.2.113
한인기 (경상국립대학교)
한인기. (2025). 원뿔의 절단으로서의 타원, 쌍곡선, 포물선의 유도, 32(2), 113-137, https://doi.org/10.7468/jksmeb.2025.32.2.113

Abstract

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.

keywords
원뿔곡선, 절단 평면, 단델린의 구, 증명 방법, Conic sections, Cone-plane intersection, Dandelin sphere, Proof methods

한국수학교육학회지시리즈B:순수및응용수학

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