摘要
中国古代"天圆地方"宇宙观由"盖天说"提出,"浑天说"继承。其所建立的简易数学模型隐含"面积=周长"的奥秘,即当圆内接正方形边长取"五"时,外切正方形边长近似等于"七",于是外切正方形面积等于外方周长加圆周的周长和,等于"大衍数"。"周积相等"是"形"(面积)与"数"(长度)的高度统一,古人认为蕴藏了宇宙天地的奥秘。"天圆地方"理论符合近代"科学假说"的基本特征。
The cosmological view of 'round sky and square earth' in ancient China was brought forth by the school of canopy-heavens, and inherited by the school of sphere-heavens. A mystery of 'area equals perimeter' is concealed in the simple mathematical mode the cosmological view established. To be specific, when the length of the side of the square inscribed in a circle is 5, the length of the side of the square circumscribed in a circle approximates 7. Therefore, the area of the square circumscribed in a circle is equal to the summation of the perimeter of the circle plus the perimeter of the square, and equal to the 'Dayan number'. The 'perimeter equaling to area' is a high integration of 'figure'(area) and 'number'(perimeter), which ancient people believed contained the mystery of the heaven, the earth and the universe. The theory of 'round sky and square earth' is in accord with the basic characteristics of modern 'scientific hypothesis'.
出处
《自然辩证法通讯》
CSSCI
北大核心
2014年第2期30-37,125-126,共8页
Journal of Dialectics of Nature
基金
第48批中国博士后科学基金面上资助项目(编号20100480471)
关键词
天圆地方
宇宙观
盖天说
大衍数
数学模型
Round sky and square earth
Cosmological view
Theory of canopy-heavens
Dayan number
Mathematical model
