| 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 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。 |
| 3. | 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。 |
| 4. | 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。 |
| 5. | 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。 |
| 6. | 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。 |
| 7. | 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。 |
| 8. | 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。 |
