The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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TOTAL ANGULAR DEFECT AND EULER'S THEOREM FOR POLYHEDRA

  • Kim, Dong-Soo (Department of Mathematics, Chonnam National University) ;
  • Kim, Young-Ho (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
  • Received : 2011.09.01
  • Accepted : 2012.02.10
  • Published : 2012.02.28
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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.

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References

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