In order terms, the Euclidean space time is a closed surface without end, like the surface of the Earth.

按规则来说，欧几里得空间-时间是一个没有尽头的闭合曲面，就像地球表面。

His conclusions were as infallible as so many propositions of Euclid.

他所作出的结论真欧几里得的定理一样的准确。

Euclid will travel to an orbiting spot about 1.5 million kilometers from Earth.

欧几里得将前往距离地球约150万公里的轨道点。

The main goal of the Euclid mission is to study the effects and activities of dark energy and dark matter — both of which are considered mysterious forces in the universe.

欧几里得任务的主要目标是研究暗能暗物质的活动——两者都被认为是宇宙中的神秘力。

Ah, that's just as well. As much as I'd love to meet Euclid-- inventor of the geometric proof-- he probably wore sandals and I cannot look at toes during dinner.

那也无妨。尽管我非常欧几里得" 古希腊数学家" ——几何证明的发明者——可他很可能穿着拖鞋" 当年穿着" ，我吃饭时可不看到脚趾。

Another proof comes from a fellow Greek mathematician Euclid and was also stumbled upon almost 2, 000 years later by twelve-year-old Einstein.

另一种证明来自希腊数学家欧几里得，这种证明也被 2000 年后 12 岁的爱因斯坦提出。

The European Space Agency (ESA) and the U.S. space agency, NASA, designed Euclid to study dark matter and dark energy.

欧洲航天局（ESA）美国国家航空航天局（NASA）设计了欧几里得来研究暗物质暗能。

I adopt a Euclidian approach to quantum gravity to describe the beginning of the universe.

我采用欧几里得子引力学来描述宇宙的起源。

In the Euclidean approach, the history of the universe in imaginary time is a four-dimensional, curved surface like the surface of the Earth, but with two more dimensions.

在欧几里得方式中，虚时宇宙历史是一个四维曲面，就像地球表面，但多了两个维度。

Astronomers hope that Euclid, a European project, will help them understand more about the dark universe.

天文学家希望欧洲的欧几里得计划能帮助他们更多地了解黑暗宇宙。

Mundell said, " The purpose of the Euclid mission is really to start to probe that dark sector of the universe in ways that we've been unable to presently with current ground and space missions."

“欧几里得任务的目的实际上是开始探测宇宙的黑暗部分，而我们目前的地面太空任务无法做到这一点。”

In addition to studying dark matter and dark energy, Euclid will use its infrared instruments to collect data on hundreds of millions of galaxies and stars.

除了研究暗物质暗能，欧几里得还将使用其红外仪器收集数亿个星系恒星的数据。

The first images have been released from the Euclid space telescope which is trying to unlock some of the biggest mysteries of the universe.

欧几里得太空望远镜发布第一批宇宙全彩图像，该望远镜有望揭开宇宙中一些最大的奥秘。

A team member, Bruno Altieri, was looking over early data collected by Euclid.

团队成员布鲁诺·阿尔蒂里正在查看欧几里得收集的早期数据。

The main goal of the Euclid mission is to study the effects and activities of dark energy and dark matter – both of which are considered mysterious forces in the universe.

欧几里得任务的主要目标是研究暗能暗物质的活动——两者都被认为是宇宙中的神秘力。

The Euclid space telescope is operated by the European Space Agency (ESA).

欧几里得太空望远镜由欧洲航天局（ESA）运营。

Leaders of the mission say Euclid was built to collect data on how the universe " has expanded and how structure has formed over cosmic history, " an ESA statement says.

欧空局在一份声明中表示，该任务的负责人表示，建造欧几里得是为了收集有关宇宙如何“膨胀以及宇宙历史上结构如何形成”的数据。

Euclid is a space telescope built to act as an orbiting observatory.

欧几里得是一架太空望远镜，用作轨道天文台。

Euclid's main goal, or mission, is to collect data on two of the universe's greatest mysteries: dark energy and dark matter.

欧几里得的主要目标或任务是收集宇宙中暗能暗物质这两个最大谜团的相关数据。

The Euclid spacecraft is 4.7 meters tall and 3.7 meters around.

欧几里得航天器高4.7米，周长3.7米。