The story is false, so far as I can discover.
Turning the corner, I discovered a lovely little shop.
Word: "discover"
the same meaning

Would you please cut the cake?
Cut a hole.
Word: "cut"
different meanings

To strip to the buff.
Swimming in the buff.
Word: "buff"
the same meaning

Can you stand the bookshelf up?
He stood the broom in a corner and took a break.
Word: "stand"
the same meaning