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刘徽于魏景元四年(公元263年)对我国古代最重要的数学经典《九章算术》详加注解,在数学方法、数学理论上贡献极大。尤其是他创造的用无穷小分割思想和极限思想对圆面积公式的证明,对鳖臑(一种四面体)和阳马(一种方锥)体积的证明,在世界数学史上占有重要地位。以前者为基础的求圆周率的科学方法奠定了我国关于圆周率精确值的计算在世界上遥遥领先千余年的地位;而后者表明,刘徽在高斯前一千六百年就考虑了不借助于无穷小分割是不可能解决四面体体积的问题,这个问题后来发展成为指导二十世纪数学发展的希尔
Liu Hui in Wei Jingyuan four years (AD 263 years) on China’s ancient math classic “Jiuzhang arithmetic” detailed notes, in mathematical methods, mathematical theory contributed greatly. In particular, his proof of the circular area formula with infinitesimal segmentation and extreme thought, and the proof of the volume of the turtle (a tetrahedron) and the male horse (a square pyramid) occupy an important place in the history of mathematics in the world. Based on the former, the scientific method of finding the pi has laid a solid foundation for our country’s calculation of the exact value of the pi in the world a thousand years ahead of the rest of the world. The latter shows that in 1600 BC, Infinitesimal segmentation is impossible to solve the problem of tetrahedron volume, this problem later developed into guidance for the mathematical development of the twentieth Century Hill