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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

TOTAL ANGULAR DEFECT AND EULER'S THEOREM FOR POLYHEDRA

TOTAL ANGULAR DEFECT AND EULER'S THEOREM FOR POLYHEDRA

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.1, pp.37-42
https://doi.org/10.7468/jksmeb.2012.19.1.37
Kim, Dong-Soo (Department of Mathematics, Chonnam National University)
Kim, Young-Ho (Department of Mathematics, College of Natural Sciences, Kyungpook National University)

Abstract

We give an elementary proof of Descartes' theorem for polyhedra. Since Descartes' theorem is equivalent to Euler's theorem for polyhedra, this also gives an elementary proof of Euler's theorem.

keywords
polygon, polyhedron, exterior angle theorem, Euler's theorem, Descartes' theorem

참고문헌

1.

A Survey of Geometry.

2.

Descartes on Polyhedra: A Study of the De Solidorum Elementis.

3.

(1981). Descartes, Euler, Poincare, Polya. Enseign. Math., 27, 327-343.

4.

(1996). The Euler Characteristic and Polya's Dream. Amer. Math. Monthly, 103, 121-131. 10.2307/2975104.

5.

Mathematical Discovery.

한국수학교육학회지시리즈B:순수및응용수학