They are just dependent on

它们仅仅只是取决于
who is looking at them from what orientation.

从哪个方面来看它们
But even in this world,

但是即使这样
we noticed that x'^2+y'^2 is the same as x^2+y^2.

我们发现 x'^2+y'^2 和 x^2+x^2 是相同的
Namely, the length of the point connecting the origin to you,

也就是你与原点之间连线的长度
or the distance from the origin is unaffected by rotations.

或者说到原点间的距离不会因转动而改变
This is called an invariant.

这叫做不变量
This doesn't depend on who is looking at it.

它是不依赖于观察者的
Everyone will agree on this.

每个人都会认同这个距离
But they won't agree on x

但他们会对 x 坐标持异议
and they won't agree on y,

对 y 坐标也持异议
but they will agree on this.

但他们会认同这个距离