晚清割圆术的饱和倾向

A TENDENCY TOWARDS SATURATION OF THE CYCLOTOMY IN THE LATE QING DYNASTY

该文在对晚清割圆术进行深入的分析和考察的基础上，指出其方法和内部结构上的弱点，即割圆术中的分析、归纳和概念三者之间缺乏紧密联系，不能形成互相促进的良性循环机制和理论基础。并以此为例，提出了中国传统数学具有的“抗变性”，而这种抗变性是中国发展近代数学的障碍。

In the crustal movement of the world's cultures,the cyclotomy in the Qing Dynasty had turned into an extinct volcano almost before its first eruptions of analytical lava were not yet solidified completely. This paper regards it as a result of its internal structure's not being favourable for analysis, i. e. there was no promising circle with mutual promoting relation among analysis, induction and concept when nothing happened to stop reducing a theory of traditional mathematics to technical skill.