Results a view of better understanding origins of gaussian intrinsic differential geometry is presented , and the intrinsic relation between gauss ' s thought of intrinsic differential geometry and of his non - euclidean geometry is brought to light and discussed 结果总结分析了高斯建立的内蕴微分几何的思想和渊源,揭示了其与非欧几何学的内在联系。
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.