확장된 심슨 정리의 증명에 관한 연구

Abstract

In this thesis, we reprove the known result which are verified by Longuerre Theorem along with the Simson line of the Plane geometry. To begin with, let's look into what the Simson line and Longuerre Theorem are what kind of researches have been done with them. This thesis concerns whether the four points are still located on the identical line in a condition that a line is extended from point P on the circumcircle in a certain angle, we verify it if it makes sense and focuses on the question that the four points will be still on the identical line when other polygons are inscribed in the circle, not quadrangles.