On 24 July, 14:13, Timothy Murphy wrote:

Is there any simple way of holding the rug down on the carpet?
The only thing I can think of is a nail through both
onto the wooden floor underneath.

A very effective way is to use rug-gripper press studs, although mine
were manufactured in the '50s or earlier (parents' drawer of "come in
handies"). These are a large socket sewn to the back of the rug,
fitting over a shaped screw head driven into the floor. it does
require screwing into the floor, but they weren't the worst holes in
that floor. Once installed they were secure, yet easily lifted for
cleaning.

I imagine something similar could be found from car trim specialists,
like Woolies (a real company and still going, but not great for pick-
and-mix).