The One and the Three

[Tirinor]

The connection is that Sauron was the one who gave them the idea in the first place. He played on the Elven desire to preserve the past. This resistance to change was in a way going against the will of Iluvatar. Doing so naturally made them fall into Sauron's court since he was the current Big Evil Guy. Sauron's mere presence in matters was enough to taint the Three.

I don't buy it. While it is possible that there might be an inherent danger to the Three Rings due to their creation being founded in a possibly dangerous philosophy, it doesn't follow that the existance of the One ring, or Sauron himself, would have direct influence on them for good or bad as described in the text.