| 出入相补原理在清初正五边、十边形研究中的应用 |
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| 引用本文： | 董杰. 出入相补原理在清初正五边、十边形研究中的应用[J]. 内蒙古师范大学学报(自然科学版), 2009, 38(5): 538-543,549 |
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| 作者姓名： | 董杰 |
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| 作者单位： | 内蒙古师范大学,科学技术史研究院,内蒙古,呼和浩特010022 |
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| 基金项目： | 国家自然科学基金资助项目(10863001,10561006);;内蒙古师范大学研究生创新基金资助项目(CXJJB09001) |
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| 摘 要： | 明末《几何原本》、《崇祯历书》等汉译科技典籍将西方正五边、十边形相关知识传入中国,但只有算、法,并未阐述数学原理.清初中算家在接受西方几何学的同时,兼用中国传统几何学中的出入相补原理对其进行研究,发挥中算的构造性特点,将正五边、十边形相关内容中蕴含的数量关系与实在的空间形式相结合,不但将原理阐释清楚,而且获得一些创新性成果.
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| 关 键 词： | 出入相补原理 正五边形 黄金分割 会通中西 清初 |
The Application of the Out-in Complementary Principle in the Research of the Right Pentagon and the Right Decagon in the Early Qing Dynasty |
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| DONG Jie. The Application of the Out-in Complementary Principle in the Research of the Right Pentagon and the Right Decagon in the Early Qing Dynasty[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 2009, 38(5): 538-543,549 |
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| Authors: | DONG Jie |
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| Affiliation: | Institute for the History of Science and Technology;Inner Mongolia Normal University;Hohhot 010022;China |
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| Abstract: | In the late Ming Dynasty,Jihe Yuanben(Euclid's Elements) and Chongzhen Lishu(Astronomical Compendium of the Chongzhen Reign) introduces the West mathematics knowledge of the right pentagon and the right decagon into China.They only showed the method of application and description,without elaborating the mathematical principles.In the early Qing Dynasty,the Chinese mathematicians accepted and learned the West geometrical knowledge,at the same time,they also used the Chinese traditional geometrical knowledge ... |
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| Keywords: | the out-in complementary principle the right pentagon golden section communication between Chinese and western mathematics the early Qing Dynasty |
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