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《九章算术》与刘徽注中正负数乘除法初探 被引量:1

PRIMARY STUDY ON MULTIPLICATION AND DIVISION OF POSITIVE AND NEGATIVE NUMBERS IN "ARITHMETIC IN NINE SECTIONS" AND LIU HUI'S COMMEN-TARY ON IT
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摘要 正负数的概念和加减法则是《九章算术》首先提出的。本文指出正负数的乘除法则在元朱世杰的《算学启蒙》(1299)中才正式提出。但实际上《九章算术》与刘徽注在解线性方程组时已部分地应用了正负数的乘除法则。 The concept of positive and negative numbers, and the rules of their addition and subtraction were first mentioned in Arithmetic in Nine Sections in the lst century. This paper maintains that the rules of multiplication and division of positive and negative numbers were mentioned in Suan Xue Qi Meng (1299) by Zhu Shijie, a mathematician in Yuan Dynasty. But actually Arithrnetic in Nine Sections and Liu Hui's commentary on it had been partly applied long before to a negative number multiptied or divided by a positive number when solving the system of linear equations.
机构地区 扬州师范学院
出处 《自然科学史研究》 CSCD 1990年第1期22-27,共6页 Studies in The History of Natural Sciences
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