中印两国几何的构造性之比较

The Compare to Construction of Geometry Between Chinese and Hindu

中国和印度同属东方数学体系,二者的几何学发展都具有构造性,这种构造性主要体现在两个方面,一是数学体系本身就具有构造性,二是几何内容具有构造性。综观中国几何的历史发展,发现中国几何的构造性体系主要依据两个基本的原理:出入相补原理和刘祖原理。而印度几何与我国几何有相类似的特点,几何体系也是基于三个基本的数学原理:面积拼补原理、勾股定理以及正弦表。基于此,中国几何和印度几何有可能缘于同一个起源。

The ancient mathematics of Chinese and Hindu is belong to the eastern mathematics system.Their geometry is constructive which the constructive mainly embodied in two aspects： one is mathematical system itself is constructive and another is geometrical content is constructive.The history of Chinese and Hindu geometry told us that the system of their geometry were constructed by chu ru xiang bu theory and gou gu theory etc.Their construction was different of Greece.So Chinese and Hindu geometry might be due to the same origin..