Translation and Annotation of "The Nine Chapters on the Mathematical Art(九章算術)" Vol. 11

P(論文)The Nine Chapters on the Mathematical Art was the oldest book of mathematics in China before the unearthing of "Suan-shu shu." The aim of our research is to provide a complete translation and annotation of it including annotations of Liu Hui(劉徽)and Li Chunfeng(李淳風)from the viewpoint of our previous work on "Suan-shu shu." This is the eleventh article based on our research and results in which we studied the problems 19 to 22 of Chapter 4, Shaoguang(少広).departmental bulletin pape