The Nine Chapters on the Mathematical Art, Vols. 1-3

—all of it matches. We know this is the old edition from the Qingyuan period, which was visible in the Tang, obscured in the Song, and lost in the Ming, but fortunately, we have encountered the prosperous era of the
Sacred Dynasty which has highlighted and promoted it, making it complete again today. Its concealment and emergence seem to be guided by fate; it is not a coincidence. We have carefully organized it into volumes, examined the errors, and appended notes below. In the commentary, the terminology—such as "red grain," "green grain," and "yellow grain"—refers to the contents of the diagrams. Since the original diagrams no longer exist, the commentary is difficult to understand. We have now inferred the meaning and added supplementary diagrams to complete the collection. The Yinyi Pronunciation and Meaning in one volume by Li Ji of the Tang is also appended here.