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.
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 descrip tion, 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 such as the out-in complementary principle to research them. They brought into play the construction characteristics of the traditional Chinese mathematics to solving the problem. They combined the quantitative relation with the actual spatial form of the right pentagon and the right decagon. At last, they did not only explain the principles clearly, but also get some innovative results.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2009年第5期538-543,549,共7页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
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)
关键词
出入相补原理
正五边形
黄金分割
会通中西
清初
the out-in complementary principle
between Chinese and western mathematics
the early the right pentagon
golden section
communication Qing Dynasty
