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日本内阁本《割圆八线互求法》考述
引用本文:董杰.日本内阁本《割圆八线互求法》考述[J].中国科技史杂志,2010,31(1).
作者姓名:董杰
作者单位:内蒙古师范大学,科学技术史研究院,呼和浩特,010022
基金项目:国家自然基金"《崇祯历书》中的"法"和"数"及其在中国的嬗变",国家自然基金"中外数学天文学交流对创新的作用",内蒙古师范大学研究生创新基金 
摘    要:将日本内阁文库所藏《割圆八线互求法》与梅文鼎《平三角举要》进行比对,指出前者是在学习后者的基础上成书的,而另一本藏于日本的中算书《八线互求法》完全抄自《割圆八线互求法》,书上写有"徐光启校阅"字样,纯属托名之举。

关 键 词:《割圆八线互求法》  《八线互求法》  《平三角举要》  梅文鼎  徐光启

A Study of the Japan Cabinet Library Copy of the Ge Yuan Ba Xian Hu Qiu Fa
DONG Jie.A Study of the Japan Cabinet Library Copy of the Ge Yuan Ba Xian Hu Qiu Fa[J].The Chinese Journal for the History of Science and Technology,2010,31(1).
Authors:DONG Jie
Institution:DONG Jie(School for the history of Science & Scientific and Technological Administration,Inner Mongolia Normal University,Huhhot 010022,China)
Abstract:There are two Chinese mathematics books of very similar title that have survived only in Japan, the Ge Yuan Ba Xian Hu Qiu Fa, and the Ba Xian Hu Qiu Fa (The Method of Computation for the Eight Lines Cutting a Circle and Its Application). This paper makes a comparison of the two books to the Ping San Jiao Ju Yao (The Elements of Plane Trigonometry)by Mei Wending (1633-1721), demonstrating that the Ge Yuan Ba Xian Hu Qiu Fa was based on the Ping San Jiao Ju Yao, while the Ba Xian Hu Qiu Fa was simply copied in its entirety from the Ge Yuan Ba Xian Hu Qiu Fa. Finally, it is shown that, despite being attributed to him, the author was not Xu Guangqi (1562-1633).
Keywords:Ge Yuan Ba Xian Hu Qiu Fa  Ba Xian Hu Qiu Fa  Ping San Jiao Ju Yao  Mei Wending  Xu Guangqi
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