摘要
17～19世纪法国数学家发展了圆周率的古典计算方法.给出了等周法、等积法、圆周法、面积法,4种方法无一例外地从两边逼近圆周率.从中未能获得圆周率的加速方法;而刘徽利用了只从一侧逼近的割圆术获得了超越时代的加速方法.因此割圆术更具优越性.另一方面,利用法国数学家的结果.可以简易地给出刘徽加速方法的证明.本文研究的目的是证明这样一个事实:中西数学的交流是互惠互利的.
In the 17th -19th centuries, French mathematicians set forth four elementary methods of computing the numher T: methods of perimeters, of areas, of isoperimeters and of equal areas, all of which approximate T from two sides. Compared with these methods. LIU Hui's cyclotomic rule, which approximates from one side, can lead us to the extrapolate method, and so is superior. The studies made in this paper conclude that mathematical exchange between China and the West is mutually beneficial.
出处
《浙江大学学报（理学版）》
CAS
CSCD
2003年第1期1-6,共6页
Journal of Zhejiang University（Science Edition）
基金
上海市重点学科建设项目
中国博士后科学基金资助项目
关键词
17-19世纪
法国数学家
圆周率
初等研究
刘徽
割圆术
等周法
等积法
周长法
面积法
数学史
The ratio of the circumference to the diameter
method of perimeters
method of areas
method of isoperimeters: method of equal areas
cyclotomic rule
