East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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The reinterpretation and the visualization of Pappus' methods for trisecting the angle

Pappus 가 보인 일반각의 3등분문제 해결의 재조명과 시각화

  • Kim, Hyang Sook (Department of Applied Mathematics & Institute of Natural Science Inje University) ;
  • Kim, Yang (Department of Applied Mathematics Inje University) ;
  • Pak, Jin Suk (Kyungpook National University)
  • Received : 2018.01.02
  • Accepted : 2018.02.28
  • Published : 2018.02.28
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Abstract

The purpose of this paper is to reinterpret and visualize Pappus' methods for trisecting the angle by utilizing the Nicomedes' conchoid and Apollonius' symptom of a hyperbola. In particular, we reinterpret the Pappus' three results which are the methods of hyperbola and circle, the trisection of the arc and focus and directrix of the hyperbola by 3 steps(analysis, construction, and proof) in the current middle school curriculum of Mathematics. Moreover, we visualize the construction of an hyperbola which is represented by means of an eccentricity.

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References

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