Gaussian intrinsic differential geometry and non - euclidean geometry 高斯的内蕴微分几何与非欧几何
This cumulative development of mathematics applies especially to non - euclidean geometry 这种数学积累的发展特别适用于非euclid几何。
It was this concept that riemann generalized , thereby opening up new vistas in non - euclidean geometry 这个概念嗣后为riemann所推广,从而在非欧几里德几何学中开辟了新前景。
Another reason for the loss of interest in the non - euclidean geometries was their seeming lack of relevance to the physical world 对非euclid几何失去兴趣的另外一个原因是它们似乎缺乏与物质世界的关联。
Aim to study the relations between the thought of gaussian intrinsic differential geometry and gauss ' s earlier research on non - euclidean geometry 摘要目的分析与研究高斯关于非欧几何的研究和内蕴微分几何思想之间的联系。
In mathematics, non-Euclidean geometry is a small set of geometries based on axioms closely related to those specifying Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises when either the metric requirement is relaxed, or the parallel postulate is set aside.