因此，来看一个几何上的例子。

So, let's do a geometric example.

youdao

这是几何上的解释。

That's the geometric interpretation.

youdao

如果这些法则有机械上，或者几何上的必须性的话，它们就不能被称作道德法则。

If they acted with a kind of mechanical necessity or even geometric necessity, they could not possibly be moral laws in that way.

youdao

If they acted with a kind of mechanical necessity or even geometric necessity, they could not possibly be moral laws in that way.

如果这些法则有机械上,或者几何上的必须性的话，它们就不能被称作道德法则。

耶鲁公开课 - 政治哲学导论课程节选

Because very often,if we only study the average, we only see the average,we only see the geometric shapes and completely missed the children on the bus.

因为很多时候，如果我们只研究平均水平，那就只会看到平均的结果，只看到几何形状,完全忽略了汽车上的孩子。

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So here's the example I'm going to start with.

做二维几何的程序,关于平面上的点。

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