Sauron's essence was, also, inside the Three Elven Rings

[Tar-Palantir]

And, it is obvious that Galadriel was able to see what Sauron thought and felt about the Elves... And that was through the power of Nenya.

No, the power of Nenya was not to see the mind of Sauron, but to ward off the decay of time and the weariness of the the world. What she did know of Sauron was the result of the mirror. Even the One ring when worn by Sauron could not see into the minds of the elves, so how could Nenya? And if Vilya was stronger how come Elrond did not know all of Sauron'e machinations? Same thing for Gandalf and Narya.

But if Sauron NEVER touched the elven rings, how could he have power over Nenya, Narya or Vilya?

There is no perfect answer to this question in the books. But obviously 1)he was the instructor, so he knew the techniques of the students and 2)his ring was more powerful made for the express purpose of destroying and controlling the elves.

[ March 10, 2003: Message edited by: Tar-Palantir ]