논문KCI 등재
TOTAL ANGULAR DEFECT AND EULER'S THEOREM FOR POLYHEDRA
한국수학교육학회|2012.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제19권 제1호|pp. 37-42
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초록
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.
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.
참고문헌 (5)
- Eves, H, "A Survey of Geometry, Revised Edition" (1972), Allyn and Bacon, Inc
- Federico, P. J, "Descartes on Polyhedra: A Study of the De Solidorum Elementis" (1982), Springer
- Hilton, P., "Descartes, Euler, Poincar¶e, P¶olya", Enseign. Math, 27, pp.327~343 (1981)
- "The Euler Characteristic and Polya's Dream", Amer. Math. Monthly, 103, pp.121~131 (1996)
- Polya, G, "Mathematical Discovery, Combined Edition" (1981), John Wiley and Sons, Inc
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