《九章算术》方程章“麻麦”问刘徽注中“算”字新释及方程“旧术”新校

A New Explanation of the Meaning of “Suan”and A New Collation of Liu Hui's Text of the “Old Equation Method”in the Nine Chapters on Mathematical Arts

在分析前人对《九章算术》方程章"麻麦"问之刘徽注中的方程"旧术"和"新术"的研究基础上,对其中"凡用七十七算"和"一百二十四算"之"算"做了新的解释,认为"算"可做算筹解。此外,讨论了校正"旧术"需要注意的几个问题,并给出了与前人不同的新校正。

Based on a survey of historical studies of Liu Hui＇s commentary to the so-called old method and new method attached to the 18^th problem of the equation chapter in the Nine chapters on Mathematical Arts, a new explanation of the meaning of the concept suan is proposed in the present paper. The authors argue that suan in this context should be understood as the number of counting rods which are used in computation. In addition, some principles for the collation of the old method are proposed, and based on those principles the text of the old method is re-collated.