Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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유클리드 제 5 공준의 기원에 관한 가설

  • 도종훈 (서울대학교 대학원 수학교육과)
  • Published : 2003.09.01
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Abstract

In this paper, we investigate the origin of Euclid's fifth postulate. For this we analyze the Euclid's proof of the Pythagorean theorem, so form a hypothesis "The Euclid's fifth postulate originated from the Pythagorean theorem." And we test our hypothesis by some historical evidences.evidences.

Keywords

References

  1. 수학사대전 김용운;김용국
  2. 기하학의 역사적 배경과 발달 이종우
  3. 대한수학교육학회지 학교수학 v.1 no.1 중학교 수학에서 평행공리의 의미 최영기
  4. Euclid - The Creation of Mathematics Artmann,B.
  5. 수리철학 Barker,S.F.;이종권(역)
  6. Mathematics News Letter v.3 no.5 The development of elementary geometry Buchanan,H.E.
  7. International Journal of Mathematical Education in Science and Technology v.33 no.4 A single instance of the Pythagorean theorem implies the parallel postulate Dobbs,D.E.
  8. 수학사 Eves,H.W.;이우영(역);신항균(역)
  9. 수학의 기초와 기본 개념 Eves,H.W.;허민(역);오혜영(역)
  10. Insight into modern mathematics Origins and Development of Concepts of Geometry Gould,S.H.
  11. The Thirteen Books of Euclid's Elements v.1 Heath,T.L.
  12. 수학의 확실성 Kline,M.;박세희(역)
  13. Euclid's Window Mlodinow,L.
  14. American Mathematical Monthly v.27 no.1 History of the parallel postulate Lewis,F.P.
  15. 어떻게 문제를 풀 것인가 Polya,G;우정호(역)
  16. Patterns of Plausible Inference Polya,G.
  17. Mathematics News Letter v.4 no.7 Euclid and infinity Sanders,S.T.
  18. Mathematics Magazine v.45 no.5 The triangle area formula implies the parallel postulate Shene,C.K.
  19. International Journal of Mathematical Education in Science and Technology v.32 no.2 The Pythagorean theorem and the Euclidean parallel postulate Tong,J.C.