Hi Indy,
The goal here is to set some gears up and uncover the hole in the middle of the gears.
First load a save where nothing has been moved. Go to the Bird door and move or push the gear away from the door towards the center of the room. Go to the Jaguar door and push that gear up against the door.
Now leave the gears for now and walk over to the 3-Headed door and then back to the hole in the center. If you look down into it - you'll notice a ledge just below the entrance or the edge of the hole. Drop then quickly grab to pull up onto the ledge. Rip up the web with your machate and enter the passage that is now revealed.
The room you end ip in has a stutue - your goal is to get it to rise up in the room up above by fixing these smaller gears.
Laura