实数连续性理论在平面几何上的应用

本文利用实数的连续性理论解决了平面几何方面的问题，具体用闭区间套定理证明了平面上任给一个三角形都存在任意方向上的一条直线，可将该三角形分成面积相等的两部分，进一步又禧到：对于一个三角形和一个多边形，至少存在一条直线可将它们同时分成面积相等的两部分．

An Application of the Theory of Real Number's Continuity in Plane Geometry

The article solved a problem of plane geometry by real number's continuity theory.To be more pre- cisely,it proves the result that,for any given triangle in plane,there exists a line which along any direct dividing it into two equal area parts by the theorem of interlink of close interval.Furthermore,for a given triangle and a polygons,there is at least one line which divides these two objects into two equal parts separately.