| 1. | He did not grant independent existence to the non-euclidean geometries .
他不承认非欧几里德几何的独立存在性。 |
| 2. | The advent of the theory of relativity forced a drastic change in the attitude toward non-euclidean geometry .
相对论的发现迫使对待非欧几里德几何的态度有激烈的变化。 |
| 3. | 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。 |
| 4. | But none of the mathematicians believed that these basic non-euclidean geometries would be physically significant .
但数学家们无人相信这些基本的非欧几里德几何必然有物理意义。 |
| 5. | Gaussian intrinsic differential geometry and non - euclidean geometry
高斯的内蕴微分几何与非欧几何 |
| 6. | 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。 |
| 7. | 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。 |
| 8. | 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。 |
| 9. | 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。 |
