清末黄宗宪的《容圆七术》初探

A Study on Huang Zongxian’s Seven Methods for Inscribed Circle

清末数学家黄宗宪在《容圆七术》中 ,对中国传统数学的容圆问题从几个方面做了推广 ,特别是用西方数学的圆锥曲线、轨迹方法及逻辑推理等知识解决新的容圆问题 ,其中不乏颇具新意的创见和成果。我们由此也可看到我国清末东、西方数学交融时期的许多现象。

In his treatise Seven Methods for Inscribed Circle,the Qing mathematician Huang Zongxian extended questions of incribed circle from four aspects,and especially resolved new questions about inscribed circle by the use of conical section,locus and logical inference of Western mathematics,some of which are not lacking in originality and accomplishment.The blending of mathematics of the East with that of the West in the late Qing Dynasty is also treated in this paper.