【摘要】 给出双曲非欧几何中极限三角形面积有限性的另外一种简单证明.方法是将只有一个顶点在无穷远处的极限直角三角形分划成一序列四边形,使得每一个四边形的面积小于前一个四边形面积的一半.更多还原

【Abstract】 Another simple synthetic proof of finiteness of areas of asymptotic triangles in non-Euclidean geometry is given.To this end,a right-angled asymptotic triangle with exactly one vertex at the infinity is dissected into a sequence of quadrilaterals so that the area of each such quadrilateral is less than half the previous one.更多还原