评宋景昌对《详解九章算法》的校勘

石研斋抄本《详解九章算法》（半部）十分粗漏，清宋景昌依据戴震所校孔刻《九章算术》与李潢所撰《九章算术细草图说》将其校勘，使之可以年读，一定程度上补戴震屏此书于《四库全书》以外之憾，意义重大。然采景昌既使用了戴、李大量正确的校勘，也采用了他们不少错校。宋氏本人提出的少量校勘，既有正确的，也有错误的。尤其是他对贾宪细草、杨辉详解这两部分内容，有大量漏校、错校。因此，重新校勘此书，是十分必要的。

APPRAISAL OF SONG JINGCHANG'S COLLATIONS OF THE XIANG JIE JIU ZHANG SUAN FA

There are plenty of errors in Shi Yan Zhai's MS of Yang Hui's Xiang Jie Jiu Zhang Suan Fa (Detailed Analysis of the Mathematical Rules in the Nine Chapters; only half of thee book remains). Song jingchang collated it with the aid of the edition of the Jiu Zhang Suan Shu collated by Dai Zhen and block-printed by Kong jihan; and Li Huang's Jiu Zhang Suan She Xi Cao Tu Shuo (the Nine Chapters on Mathematical Art Carefully Explained and Illustrated with Diagrams). Song adopted a number of the collations of Dai and Li; and presented his own's; thus; he made it readable. This is significant for remedying Dai Zhen's exclusion of the book from the Si Ku Quan Shu (the Complete Library of the Four Categories). However; Song also made quite some mistakes; both in the adoptions and his own collations. In particular; he not only made quite a few incorrect collations; in the two important parts of the book-Jia Xian's Detailal Explanation and Yang Hui's Detailed Analysis; but left a number of errors in these two pats which remain untouched. Therefore; it is necessary to recollate this book.