摘要
在分析《缉古算经》的写作目的及其具体内容的基础上，对《缀术》中的“刍甍、方亭之间”和“方邑进行之术”作了探讨，认为：前者是已知刍甍、方亭的体积及其边、高的差，求边和高的问题，因此《缀术》中有三次方程的内容；后者是解勾股形问题，类似于《缉古算经》最后6问。由此又对祖冲之的“开差幂”和“开差立”算法提出质疑，认为它们与“方邑进行之术”和“刍甍、方亭之问”无关。
On analysing the object and contents of Ji Gu Suan Jing, this paper arrives at the following conclusions on Zhui Shu: first, the Chumeng or Fangting problem is, given the volume of a Chumeng or Fangting and the differences of its dimensions, to find the dimensions, hence Zhui Shu must have contained cubic equations ; Second, the Fang-Yi-Jin-Xing rules are those of right-angled triangles, similar to those contained in the last six problems of Ji Gu Suan Jing; third, Kai Cha Mi and Kai Cha Li, two rules given by Zu Chongzhi in his Zhui Shu, have no reference to the quadratic or cubic equations; fourth, Zhui Shu contains no quadratic or cubic equations of negative coefficients.
出处
《自然科学史研究》
CSCD
1999年第1期20-27,共8页
Studies in The History of Natural Sciences
关键词
缉古算经
缀术
方程
王孝通
祖Heng
祖冲之
Ji Gu Suan Jing, Zhui Shu, equation, Wang Xiaotong, Zu Geng, Zu Chongzhi
