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从平行公设的研究到非欧几何的创立
引用本文:王功琪,项昭.从平行公设的研究到非欧几何的创立[J].贵州教育学院学报,2008,19(12):75-78.
作者姓名:王功琪  项昭
作者单位:安顺学院数计系
摘    要:简述了历史上对第五公设的怀疑研究,进而介绍非欧几何的诞生、发展和确认,对非欧几何创立过程中所提出的重要方法论、历史意义作初步探讨。

关 键 词:欧氏几何  第五公设  非欧几何  几何模型  公理化方法

From the study of the parallel postulate to the establishment of the non-Euclidean geometry
WANG Gong-qi,XIANG Zhao.From the study of the parallel postulate to the establishment of the non-Euclidean geometry[J].Journal of Guizhou Educational College(Social Science Edition),2008,19(12):75-78.
Authors:WANG Gong-qi  XIANG Zhao
Institution:( Department of Mathematics and Computer Science, Anshun College, Anshun, Guizhou, 561000 China)
Abstract:The paper introduces the historical study on the fifth postulate and the establishment,the improvement and the affirmation of the non-Euclidean geometry.Then it discusses the methodology and the historical meaning of the establishment of the non-Euclidean.
Keywords:Eustachian geometry  fifth postulate  non-Euclidean geometry  geometry model  axiom  
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