Morley 정리의 한 증명방법과 그 활용에 대한 연구

  • Lee, Sang-Keun (Dept. of Math. Edu. and Education Research Institute, Gyeongsang National University) ;
  • Lee, Chun-Goo (Gyeongnam Science high school)
  • Published : 2008.12.31

Abstract

In this study, we'll check the proof of Morley's theorem that calculate the sides XY, YZ and ZX of Morley's triangle. We may now consider calculate area of Morley triangle and observation that, for example, in triangle ABC, length or sides XY, YZ and ZX are $8Rsin{\alpha}sin{\beta}sin{\gamma}$, respectively. Therefore, compare with the area of Morley's triangle XYZ and the area of triangle ABC.

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