“反其率术”校注

Emendation and annotation on the text of Fanqil-Shu

就尚存争议的《九章算术》中“反其率术”进行研究 ,结合刘徽、李淳风的九章注 ,分析“经率术”、“其率术”、“反其率术”的内在联系和变化 ,以算理分析和实际验证的方法考察“反其率术”,从而获得对“反其率术”术文校正和算法的阐释。

Fanqil Shu (反其率术), an algorithem recorded in Nine Chapters of Arithmetic , is to be studied. The annotations written by LIU Hui and LI Chunfeng are scrutinized, the connection and variation between some ratio algorithms are clarified. The methods such as algorithm analysis and checking computation are introduced and work very well.The original meaning of Fanqil Shu is shown, and its original text is emended.