This is the geometric proof #127 from Loomis' book. #174 moves square BCE'C3 to the position EC2B2X. This gives you an idea of the length Loomis went to to make the number of proofs beyond 300.

I think we both may find a better occupation than seeking additional proofs of the Pythagorean theorem. For me, the important thing is a novel outlook - a new view point - rather than the sheer novelty of the method. There are about 250 proofs in Loomis' book that I have no plans of including in my pages.