| 1. | The common conclusion was the uniqueness and necessity of euclidean geometry .
欧几里德几何的唯一性与必要性已被公认。 |
| 2. | The non-euclidena geometries were in effect subordinated to euclidean geometry .
非欧几里德几何实际上是从属于欧几里德几何的。 |
| 3. | Science should always try to use euclidean geometry and vary the laws of physics where necessary .
科学应该永远试用欧几里德几何学，并在必要处改变物理定律。 |
| 4. | Gaussian intrinsic differential geometry and non - euclidean geometry
高斯的内蕴微分几何与非欧几何 |
| 5. | 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。 |
| 6. | Economics is not a straightforward discipline like newtonian mechanics or euclidean geometry
经济学不像牛顿力学或者欧几里德几何，它不是门直观的学科。 |
| 7. | Each innovation destined to dwarf the one extensive accomplishment of the greeks - euclidean geometry
每一个创新都注定希腊人的巨大成就- -欧几里德几何相形见绌。 |
| 8. | 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。 |
| 9. | 5 fortune s . voronoi diagrams and delaunay triangulations . computing in euclidean geometry , f k hwang , d z du eds . ,
第1步：对于起点s和终点t ，首先为它们分别选择最近的传感器结点和 |
| 10. | 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。 |
