《欧几里得原本》的结构及其理论基础

Structure and Theoretical Foundation of Euclid's Elements

本文对《欧几里得原本》的公理化结构和直观图形在论证中的作用作了探讨分析;并对其整体结构进行了讨论;论证了它的理论基础——“比例论”和“穷竭法”.

This dissects the axiomatization structure and the inlegral structure of the whole book in Euclid's elements,expounds and proves the fundamentel theoretical foundation for——“the proportional theory”,“the method of exhaustion”.