凸n边形“面积中心”与“广义面积中心”探讨

ON "AREA CENTER" AND "AREA CENTER IN THE WIDER SENSE" OF A CONVEX POLYGON

文中自定义凸n边形的“面积中心”和“广义面积中心”的概念，然后给出凸n边形的面积中心及广义面积中心的存在性和唯一性的几个结论，并分别提出凸n边形存在面积中心和存在广义面积中心的一个充要条件．

In this paper,we give the definition of 'area center' and 'area center in the wider sense' of a convex polygon and get some results on the existence-uniqueness conditions for them. Necessary and sufficient conditions for the existence of area center and area center in the wider sense are obtained.