Decompression blew out a window in the plane.
机舱内减压吹掉了一块玻璃窗。
Fortunately, none of the 119 passengers in the plane were hurt in the incident.
幸运的是，飞机上的119名乘客都没有受伤。
Earth is the only one of the inner planets with a large satellite, the orbit of which is neither in the equatorial plane of Earth nor in the plane in which the other planets lie.
地球是内行星中唯一一个有大卫星的，它的轨道既不在地球的赤道平面上，也不在其他行星所在的平面上。
That was a vector field in the plane.
它是一个在平面上的向量场。
So here you see them in the plane.
请看他们在飞机里的样子。
C So, we have a curve in the plane, c.
平面上有一条曲线。
What they see is the monitor in the plane.
他们所看到的是在飞机上可以看到的景象。
In the plane that is called Green's theorem.
平面上的就是格林公式。
Well, that one is not in the plane, either.
这点也不再平面上。
Well, you just take a closed curve in the plane.
只需在区域中取一条封闭曲线。
OK, that's what would happen if a line is in the plane.
这就是直线在平面上所发生的事情。
Well, I claim that the position vector is in the plane.
我断言，这个位置矢量在平面上。
This side here is a usual double integral in the plane.
这边是平面上普通的二重积分。
I have a curve in the plane and I have a vector field.
这有一条平面曲线和一个向量场。
We had a curve in the plane and we had a vector field.
平面上有一曲线，且存在着向量场。
But, there is another vector that I know it is in the plane.
但我知道，还有另一个向量在平面上。
And, the formula for curl in the plane was kind of complicated.
平面上的旋度公式有些复杂。
There is only one thing that is enclosed by this curve in the plane.
平面上，被曲线包围的就只有一个“曲面”了。
Let's say that I have a plane curve and a vector field in the plane.
有一条平面曲线和这个平面上的向量场。
Several airplane companies offered equipment to be used in the plane.
几家航空公司提供了飞机上需要使用的设备。
I give you some region in the plane and you want to know just its area.
给出一个平面上的区域，求它的面积。
OK, if I'm moving in the plane, then position and velocity are in there.
如果在平面上运动，那么位置和速度也会在这个平面上。
So, if you forgotten what we did in the plane, it's really the same thing.
如果忘记了在平面中做的是什么，其实平面中的也是一样的。
You have seen that in the plane it is already pretty hard to draw a vector field.
正如大家所知，在平面中画出向量场已经很困难了。
These points are not in the plane, but they are not in the plane in different ways.
这些点不在平面上，它们以不同的方式不在平面上。
Just to remind you, a vector field in space is just the same thing as in the plane.
提醒大家，空间中的向量场与平面中的相同。
I can draw now any xy axis where I please, anywhere in the plane of the blackboard.
可以在任意地方画轴，不管是黑板面任意点。
Imagine that you as an observer are somewhere in the plane of this orbit, and you are here.
假设有一个观察者，坐在这个轨道上的，一架飞机中，你在这里。
Imagine that you as an observer are somewhere in the plane of this orbit, and you are here.
假设有一个观察者，坐在这个轨道上的，一架飞机中，你在这里。
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