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Assume that S is "closed&#34

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Assume that S is "closed"

In this corollary, I am not very formal.

It is possible to define properly what do I mean by "closed", but I think that's not necessary for our purpose.

You can believe your intuition: "closed" means that there is no "boundary" in the above sense, so the line integral is 0.

By the way, (*) doesn't depend on the coordinate system!

(Image from Wikipedia) By "counterclockwise", I mean that the force pushes

the particle in the direction of the orientation of the boundary, as in the "right hand rule" on the right:

�n

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