a2+b2+2ab=2ab+n2
so a2+b2=n2 Life should consist in at least fifty percent pure waste of time, and the rest doing what you please.
At no point in the proof there is a nonhomogenoeous polynomial adding a length to an area, for instance. So Ceebs' argument can be written out in words involving areas.
I think that diagrammatic proof of Pythagoras' theorem may have originated in India? We have met the enemy, and he is us — Pogo