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Morley 정리의 한 증명방법과 그 활용에 대한 연구
이상근,이춘구,Lee, Sang-Keun,Lee, Chun-Goo 영남수학회 2008 East Asian mathematical journal Vol.24 No.5
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.
이상근,이춘구,Lee, Sang-Keun,Lee, Chun-Goo 영남수학회 2010 East Asian mathematical journal Vol.26 No.2
In this study, we study on the length of bisector of angle by the method using the area, the method using the vector and the method using the similarity, also the length of trisector of angle by the method using the sine law, the method using the area and the method using the second law of cosine in triangle, respectively. And we study on the length of trisector of angle with the length of bisector in angle. This study is expected to use the learning materials for the interesting construction and the problem solving using trigonometric functions.