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1·Adds a closed curve to this path.

向此路径添加一个闭合曲线。

2·I need to be on a closed curve to do it.

我需要在一条封闭曲线上来做。

3·Well, you just take a closed curve in the plane.

只需在区域中取一条封闭曲线。

4·If I move along this closed curve, I start at the origin.

沿这条闭曲线，从原点出发。

5·Draws a green closed curve through the seven points.

绘制一条经过七个点的绿色闭合曲线。

6·It just reminds you that you are doing it on a closed curve.

只是提醒你，是在封闭曲线上做积分。

7·The circumference is the distance around a closed curve.

圆周的距离是围绕一个封闭的曲线。

8·That's a closed curve. So, I would like to use Green's theorem.

这是封闭曲线，所以我们可以用格林公式。

9·And, I still want to compute the line integral along a closed curve.

但仍然想要沿着封闭曲线的线积分计算。

10·If we have a closed curve then the line integral for work is just zero.

如果给定一条封闭曲线，那么求所做功的线积分为零。