Additionally, could he have demonstrated the so called "Napoleon's Theorem"? Could he understand works of contemporary mathematicians?
Napoleon is often described as an amateur mathematician. I'm trying to understand how much of a mathematician he was.
Napoleon wasnt a mathemetician in our conventional sense, he recieve no education in anything resembling advanced or conceptual mathematics. Rather, Napoleon was a trained artillerist, who recived an education in ballistics. This is an important distinction. Napoleon learned applied math, military math to help him become a better artillerist and engineer. He was taught at a military academy, by career officers. Napoleon's formal education was oriented towards the effective employment of his weapons, the practical side of math, so I find it unlikely that he would have devoted much effort to theoretical geometry. Rather, the claim seems to me to be the residual effects of Napoleon's genius in other fields, a sort of "Napoleon can do anything" myth.