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我认为笛卡尔论证的确是不成立I think the Cartesian argument does fail.

这就是笛卡尔沉思或者叫反思之思。This is the Cartesian or reflective cogito.

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发生了什么呢？Oh, but what happened to the Cartesian form.

我想要创建很多个点,现在我已经创建了。So I've got now things that are Cartesian points.

我已经有了一些笛卡尔坐标点了，我可以创建一个极坐标点。I've got Cartesian points, I could create a polar points.

我们会新建一个点p，好不好？,这里是它的笛卡尔表示法。There's the Cartesian representation of it, which is right,.

当我要使用这些东西的时候,这些信息是很有价值的，对不对？You see that little thing says dot Cartesian point in there.

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或者polar方法来读出这些值,一旦我完成了以上的操作。I should use Cartesian or polar to pull out those pieces of it.

这没什么了不起的,但是现在出现问题了？How do you know whether it's in Cartesian form or in polar form?

我们可以看到cp1是怎么样的，很有趣，它说了一些。It says some funky stuff, and says it's a kind of Cartesian point.

指定下一个绘图方法程序的水平坐标。The horizontal axis of a two-dimensional Cartesian coordinate system.

它的四种可能输入对应于笛卡尔图的四个点。Its four possible inputs correspond to four points on a Cartesian graph.

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然后我们给它赋值，好不好？,发生了什么？Let's let p be Cartesian point, and we'll give it a couple of values. OK?

这就是为什么，我想要使用访问器的原因。So p dot Cartesian is a kind of accessor, it's getting access to the data.

习惯上最常使用的笛卡儿座标系统是右手。It is conventional for most cartesian coordinate systems to be right-handed.

让我们运行这个程序，来把应用这些定义。I've got a definition of Cartesian point, I've got a definition of polar point.

笛卡尔坐标系中迭代双多普勒风合成的稳定性。Stability of an Iterative Dual-Doppler Wind Synthesis in Cartesian Coordinates.

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上图表现的是典型的凸轮剖面与X-Y坐标的关系。The diagram shows a typical cam profile against an X-Y cartesian coordinate system.

在这一章中你将使用相同的概念，图形，但现在的直角坐标网格。In this chapter you will use the same concepts of graphing but now on a Cartesian grid.

一个立方体的每个数据点或单元是它的维成员的笛卡尔乘积。Each data point or cell of a cube is the Cartesian product of members of its dimensions.