I remember reading that a dog saved a woman from drowning in a swamp or similar (in the US I think) by creating a leverage from wood and the leash. It was told in first-person from herself and I read it on Ranker.com or Reddit. Now I cannot find it again.
The event, if true, would indicate that the dog has awareness of mechanical leverage as discovered by Archimedes that the force with a leverage is greater than the original force. This might very well be possible since many dogs can jump in the air and catch something in the air which is the equivalent of the mathematical physics of calculating the trajectory of a moving object in the air.
Do you think it's possible to find the story again? I search online for some time but could not find it.