한국수학사학회지 (Journal for History of Mathematics)

한국수학사학회 (The Korean Society for History of Mathematics)
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아르키메데스가 《The Method》에서 원뿔의 무게중심을 구한 방식에 대한 하나의 가설

An Assumption on How Archimedes Found out the Center of Gravity of Cones in 《The Method》

  • 투고 : 2013.06.30
  • 심사 : 2013.11.07
  • 발행 : 2013.11.30
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초록

In ${\ll}$The Method${\gg}$, Archimedes presented the famous heuristic technique for calculating areas, volumes and centers of gravity of various plane and solid figures, utilizing the law of the lever. In that treatise, Archimedes used the fact that the center of gravity of a cone lies one-quarter of the way from the center of the base to the vertex, but the proof of this is not extant in his works. This study analyzes the propositions and their relations of ${\ll}$The Method${\gg}$ focusing on the procedural characteristics of the 'method' of Archimedes. According to the result of that analysis, this study discusses the likely approach which was taken for Archimedes to find out the center of gravity of a cone.

키워드

참고문헌

  1. M. E. Baron, The Origins of the Infinitesimal Calculus, New York, Dover Publications, 1969.
  2. J. L. Bell, The Continuous and the Infinitesimal in Mathematics and Philosophy, Polimetrica, International Scientific Publisher, Monza-Milano (Italy), 2006.
  3. C. B. Boyer, A History of Mathematics, Wiley, 1991. (양영오, 조윤동 역, 수학의 역사 (상), 경문사, 2000.)
  4. J. L. Coolidge, A History of Geometrical Methods, New York, Dover Publications, 1963.
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  6. C. H. Edwards, The Historical Development of the Calculus, New York, Springer-Verlag, 1979.
  7. T. L. Heath, The Works of Archimedes with the Method of Archimedes, New York, Dover Publications, 1912.
  8. Hong, G. J., An Educational Study on Archimedes' Mathematics, Doctoral Dissertation of Seoul National University, 2008. (홍갑주,'아르키메데스 수학의 교육적 연구', 서울대학교 박사학위논문, 2008.)
  9. W. R. Knorr, "The Method of Indivisibles in Ancient Geometry", Vita Mathematica (R. Calinger Ed.), 1996, 67-86.
  10. R. Nets, The works of Archimedes (Vol. 1), Cambridge, Cambridge University Press, 2004.
  11. Park, S. Y.,"The New Interpretation of Archimedes' 'Method'", The Korean Journal for History of Mathematics, 23(4) (2010), 47-58. (박선용,"아르키메데스방법에 대한 새로운 해석", 한국수학사학회지 23(4) (2010), 47-58.)
  12. D. E. Smith, History of Mathematics (Vol. 2), New York, Dover Publications, 1953.

피인용 문헌

  1. A study on the analytic geometric characteristics of Archimedes' 《The Method》 and its educational implications vol.27, pp.4, 2014, https://doi.org/10.14477/jhm.2014.27.4.271