Elven Rings and the One Ring

[Inziladun]

I guess I'm unsure as to how he could encroach on those rings he had no hand in making. The 7 Dwarves' and the 9 Mens' rings, he actually touched. But he never laid hands on, or had any role at all in making the 3 Elves'.

But he did have a hand in their making. The Three, though never touched by Sauron and physically made by the Noldor of Eregion, could not have been crafted without Sauron's aid. Being at least partially the results of Sauron's knowledge and instruction was the reason they were ultimately under the dominion of the One.