| 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. | The euclidean norm of an n-vector x with real or complex components is defined as following .
凡具实数分量或复数分量的n-维向量x的欧氏范数被定义如下。 |
| 4. | 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。 |
| 5. | We prefer the form (5.16.7) since it is in conformity with the definition of scalar product in a complex euclidean space .
我们愿意用（5.16.7）这种形式，因为它和复欧几里德空间中标积之定义相谐调。 |
| 6. | On the matrices with entries in a pseudo - euclidean ring
关于伪欧氏环上的矩阵 |
| 7. | Development of the generalized euclidean steiner problem
问题的研究与进展 |
| 8. | These are regular triangles in non - euclidean plane
这些都是非欧平面上的正三角形，像不像扇子？ |
| 9. | Gaussian intrinsic differential geometry and non - euclidean geometry
高斯的内蕴微分几何与非欧几何 |
| 10. | Research on distance from point in to hyperplane in euclidean space
欧氏空间中点到超平面的距离研究 |
