다차원 삼각형의 수심, 외심, 무게중심에 관한 연구

Abstract

It is well known that the orthocenter(H), the circumcenter(O), and the centroid(G) of a two-dimensional triangle are linear and . Based on these properties, we show that the set of all orthocenters of the triangle whose vertices lie on the unit circle is equal to the interior of the circle of radius 3. Also, we extend the corresponding results to the general dimensional cases.