바로가기메뉴

본문 바로가기 주메뉴 바로가기
 

logo

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

ISSN : 3059-0604

Article Contents

Prev Next
e-Submission

Vol.32 No.2

PDF Citation Share

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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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
Han In ki
Han, I. k. (2025). A derivation of the ellipse, hyperbola, and parabola as conic sections, 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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

e-Submission OA Policy