湖南大学学报:社会科学版
湖南大學學報:社會科學版
호남대학학보:사회과학판
Journal of Hunan University(Social Sciences)
2010年
4期
5~10
,共null页
委输问题及其社会背景 《算术》 《九章算术》 《数》 《算数书》 律程
委輸問題及其社會揹景 《算術》 《九章算術》 《數》 《算數書》 律程
위수문제급기사회배경 《산술》 《구장산술》 《수》 《산수서》 률정
weishu problems and their social context; Suanshu; Nine Chapters on Mathematical Procedures; Shu; Suanshu Shu; cheng
考察了睡虎地汉简《算术》和《九章算术》、《张丘建算经》中的委输算题的特点,利用刘徽的《九章算术注》、岳麓书院秦简《数》、张家山汉简《算数书》等材料提出推导其术文的复原方案。并用睡虎地秦律和张家山汉简《二年律令》,探讨了这类算题的社会背景,特别是律令中的程。
攷察瞭睡虎地漢簡《算術》和《九章算術》、《張丘建算經》中的委輸算題的特點,利用劉徽的《九章算術註》、嶽麓書院秦簡《數》、張傢山漢簡《算數書》等材料提齣推導其術文的複原方案。併用睡虎地秦律和張傢山漢簡《二年律令》,探討瞭這類算題的社會揹景,特彆是律令中的程。
고찰료수호지한간《산술》화《구장산술》、《장구건산경》중적위수산제적특점,이용류휘적《구장산술주》、악록서원진간《수》、장가산한간《산수서》등재료제출추도기술문적복원방안。병용수호지진률화장가산한간《이년율령》,탐토료저류산제적사회배경,특별시율령중적정。
The paper investigates the characteristics of the problems concerning weishu (a kind of transportation organized by the government) in the Han bamboo slip Suanshu(Mathematical Procedures) unearthed from Shuihudi,the Nine Chapters on Mathematical Procedures and the Mathematical Classic of Zhang Qiujian. Referring to Liu Hui’s Annotations on the Nine Chapters,the Shu (Mathematics) on Qin bamboo strips preserved in Yuelu Academy,the Suanshu Shu (Writings on Reckoning) on Han bamboo strips unearthed from Zhangjiashan,this paper provides several schemes for restoring the procedures how the ancients obtain those methods. Referring to the Laws on the bamboo strips of Qin unearthed from Shuihudi and the Ernian Luling (Laws of the Second Years) of Han Dynasty unearthed from Zhangjiashan,the paper discusses the social context of these problems,especially the cheng (laws on standards) in the laws.