岳麓书院《数》中两道衰分类算题的解读

Decipherment of Two Undeciphered Cuifen Problems in Yuelushuyuan’s Book "Shu"

《数》的衰分类中所包含的两道谷物分配算题在此前一直未得到解读。本稿在使用谷物的换算计算方法来解读这两道题的同时,讨论了在《数》及《算数书》中都用到过的数学方法和《九章算术》中'返衰术'之间明确的差异点。

Two Cuifen(衰分)problems dealing with grain distribution contained in the book'Shu'(数)had been left undeciphered.In this paper,we decipher these problems by calculating conversion of grain,and discuss the fact that the method used in the'Shu'is also used in the'Suanshushu'(算数书)and is different from the'Fancuishu'(返衰术)in the'Jiuzhang Suanshu'(九章算术).