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题名: 《九章筭术》正负术“无人”辨
作者: 郭书春
刊名: 自然科学史研究
出版日期: 2010-10
卷号: 29, 期号:4, 页码:504-510
关键词: 九章筭术 ; 正负术 ; 无人 ; 刘徽 ; 大典本 ; 戴震
学科分类: 科技史::数学史 ; 科技史研究::科技史料学
中文摘要: 《九章筭术》方程章提出了正负数完整的加减法则,其大典本、杨辉本均有"正无人负之,负无人正之","正无人正之,负无人负之"等语。戴震认为"无人"讹误,将其改作"无入",汪莱、李潢曾提出异议,然而从1963年的钱校本到2004年笔者的汇校本增补版的所有版本都从戴校。实际上汪、李二君的意见是对的。人训偶,伴侣。"无人"就是"无偶"。原文不误。 
英文摘要: The chapter fang cheng(方程) of Nine Chapters of Mathematical Procedures puts forward a complete principle of addition and subtraction for negative and positive numbers.The following words are mentioned in da dian(大典) and Yang Hui(杨辉) editions of the book: for a positive number wu ren(无人),the result is a negative number;for a negative number wu ren,the result is a positive number;for a positive number wu ren,the result is a positive number;for a negative number wu ren,the result is a negative number.Dai Zhen(戴震) considered that wu ren(无人)was wrong,and rectified it as wu ru(无入).Wang Lai(汪莱) and Li Huang(李潢) were doubtful about Dai's opinion.However,all collating editions of the book followed Dai's opinion from Qian Baocong's edition in 1963 to Guo Shuchun's supplement edition in 2004.In fact,the opinion of Wang and Li are right.In ancient China,ren meant spouse.Therefore,wu ren meant no spouse.The original text of Nine Chapters of Mathematical Procedures is not wrong.
语种: 中文
内容类型: 期刊论文
URI标识: http://ir.ihns.ac.cn/handle/311051/1933
Appears in Collections:科学技术史_中国古代科技史_期刊论文

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郭书春.《九章筭术》正负术“无人”辨.自然科学史研究,2010,29(4):504-510
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