安清翘《矩线原本》“比例篇”研究

Study on the Chapter “Proportion” of An Qingqiao’s Ju Xian Yuan Ben

安清翘主张程朱理学,研习数学,是一位非乾嘉学派的学者。《矩线原本》“比例篇”是安清翘以“矩”为基础讨论比例与数学关系的主要论著。本文在前期研究的基础上,对“比例篇”的主要内容、取材发挥、思想基础深入讨论,分析安清翘对《数理精蕴》和当时数学名著的发挥,指出“九九”、“比例”是安清翘矩学思想的数学方法论基础,而这正是安清翘对程朱理学、易学象数以及中西会通的实践结晶。

An Qingqiao advocated the Cheng-Zhu Neo-Confucianism, studied mathematics, but he was not a Qian and Jia School scholar. The chapter "proportion" of Ju Xian Yuan Ben is the main treatise on the relationship between proportion and mathematics on the basis of "Ju". This paper discusses, main con tent, source and creation of knowledge and ideological foundation of the chapter "proportion". After analyzed its play on Shu Li Jing Yun and the mathematical classics at that time, it is pointed out that "proportion" is the basis of his mathematical methodology ,which is his practice in the theory of Cheng and Zhu, principle, image, number of Yi and China-West Integration.