岳麓书院秦简《数》“营军之述(術)”算题解

Explanation for "the Method of Constructing Barracks" in Qin Bamboo Slips on Mathematics Collected by Yuelu Academy

岳麓书院秦简《数》中有一道关于"营军之述(術)"的算题,其简文早已刊布,但迄今无人破解。文章以准确解读简文中的"大卒"、"大卒数"、"两"、"和"等关键词为切入点,将极易致人迷惑的"两和"二字连读以解密原简文意。对上揭关键词含义的准确把握以及对释文的正确标点,使原本难以理解的術文得到合理解读;将按術文计算的结果与残存的简文答案对照,两者完全一致,已散佚的简文答案亦浮出水面。

There is a mathematical problem of ＂the method of constructing barracks＂ in Qin bamboo slips on Mathematics collected by Yuelu Academy, which has been released for a long time, and remains to be researched and explained. This paper has exactly deciphered the key points ＂soldiers＂, ＂numbers of soldiers＂, ＂two＂ and ＂gate of barracks＂ in the Qin bamboo slips on Mathematics. The only way to decipher Mathematics is put ＂two＂ and ＂gate of barracks＂ together. With these key points grasped exactly and the full text punctuated correctly, the mathematical problem which is difficult to comprehend becomes clear and coherent. By comparing the result from the mathematical problem with the solution written on the remains of bamboo slips, the result and the solution are found to be identical, and the other part of the solution which was scattered and lost also emerges on the surface.