rest on something formal *
rest upon something formal

Much less will he want his eyes to rest upon us!

If you wrote on the wall someone might rest upon it.

Indeed, our eyes may have been the first ever to rest upon them.

Then I say that our claims do not rest upon a book written no one knows when, or by whom.

Mine were the first American eyes to rest upon it for more than two hundred years.

The others looked and there they saw a human hand resting upon the floor.

"When she rests upon the support of the people themselves?"

She rested her hand upon my arm and no king could have felt better.

Drew the girl's head to rest upon her own shoulder for a moment.

It came to rest upon the surface of the ocean.