摘要
本文通过对宋元时期数学原著的深入研究,对天元术的产生和发展提出新的见解,认为洞渊是天元术先驱,他不仅提出"立天元一",而且开始化分式方程为整式方程。继李冶之后,朱世杰进一步发展了天元术,他提高了方程的抽象程度,掌握了化无理方程为有理方程的方法,并用天元术来解决各种几何问题,发现了平面几何中的射影定理和弦幂定理。
Based on the author's own work Biography of Li Ye, this paper makes a further study of Tianyuan methodin the Song and Yuan dynasties. The author thinks that Dong yuan was a pioneer of Tianyuan method. He not only knew how to set up the unknown number,, but also mastered the method of changing simple fractional equations into polynomial equations. Besides, the author discusses how Zhu Shijie developed the theory of equations. First, he strengthened the abstraction of equations and grasped the method of changing irrational equations into rational ones. Secondly, he used Tianyuan method to solve various problems of geometry and discovered two theorems in plane geometry.
出处
《自然科学史研究》
CSCD
1991年第2期101-110,共10页
Studies in The History of Natural Sciences
