• Title/Summary/Keyword: 체바의 정리

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A Didactic Transposition and Enlargement of the Ceva Theorem (체바 정리의 교수학적 변환 및 확장)

  • 한인기
    • Journal for History of Mathematics
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    • v.17 no.2
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    • pp.61-72
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    • 2004
  • In this article we study on didactic transposition and enlargement of the Ceva theorem(if three cevians AX, BY, CZ, one through each vertex of a triangle ABC, are concurrent, then $\frac{BX}{XC}\frac{CY}{YA}\frac{AZ}{ZB}$ = 1). We suggest inverse of the Ceva theorem, some different forms of the Ceva theorem(oriented segment form, trigonometric form, vector form), enlarged the Ceva theorem of polygon and tetrahedron, and in detail propose these proofs.

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A Study on Solving Geometry Problems related with the Ratio of Segments Using the Principle of the Lever (지렛대 원리를 활용한 선분의 비에 관련된 도형 문제의 해결에 대한 연구)

  • Han, In-Ki;Hong, Dong-Hwa
    • Communications of Mathematical Education
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    • v.20 no.4 s.28
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    • pp.621-634
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    • 2006
  • In this study we describe the characteristics of solving geometry problems related with the ratio of segments using the principle of the lever and the center of gravity, compare and analyze this problem solving method with the traditional Euclidean proof method and the analytic method.

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