查询词典 parallel axiom

Were this to happen, then the assumption of their parallel axiom would be invalid.

如果这一情况发生，他们的平行公理假设便会不正确。

Since he recommended to his son that he take up the problem of the parallel axiom, he almost certainly retailed what he knew.

因为他要他的儿子继续研究他所从事的平行公理的工作，所以几乎可以肯定他会把自己所知道的一切传给他的儿子的。

The fifth-century commentator Proclus was very explicit about his objection to the parallel axiom.

第五世纪评论家Proclus非常明显地反对平行公理。

Say for example, when discussing on parallel axiom, which is "given a point and a line on a plane, there exists a unique line on the plan that passes through the point and is parallel to the line", if we change the axiom as "there is not any or there are infinitely many lines that will pass through the point and be parallel to the line", then we have two kinds of non-Euclidian geometry.

就像对于平行公理的讨论一样，干脆规定：过已知直线外一个固定点可以作无数条与已知直线平行的直线；或者过已知直线外一个固定点的任何直线都不能与已知直线平行；这样还产生了两个版本的非欧几何。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。