We just turned off into paradise.

我们刚会了天堂般快乐。

Of course, from our perspective, we know this is all just rigid motion.

当然，从我们角度来看，这只不过是刚运动。

The correspond to rigid motion, with no stretching, squishing or morphing.

它们对应于刚运动，没有拉伸、压缩或变形。

Nowadays both the gas and the rigid body are manufactured out of a more primitive and universal kind of matter.

如今，气和刚是由一种更原始​​、更普遍物质制成。

The study of gases was originally quite distinct from that of rigid bodies, and would never have advanced to its present state if it had not been independently pursued.

对气究最初与对刚究截然不同， 如果不是独立进行， 就永远不会发展到现在状态。

Even if everyone did jump that high, and the ground were rigid and responded instantly, the Earth would still only be pushed down by less than an atom's width. Next, everyone falls back to the ground.

即使每个人跳得那么高，即使地球是刚并能瞬时做出响应，它也只会被向下推不到一个原子宽度距离。接下来所有人落到了地上。

Geometrically, a four-dimensional creature would be able to look at those two perpendicular rotations that I just described and understand that they lock you into one and only one rigid motion for the hypersphere.

从几何上讲，一个四维生物能够观察到我刚才描述两个垂直旋转，并理解它们将你锁定在一个且仅有一个刚运动中，对于超球来说是这样。