Generalisation of Pythagoras theorem

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    Pythagoras Theorem
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mertcan
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hi everyone, I would like say that there are lots of proofs related to pythagoras theorem in a flat space, but When I searched it's general form I have not found something worthwhile. Besides, I also involved myself to have a nice proof of it, as a result I have not any valuable or very close equation, so Could you help me obtain it's proof, share some pdf files, links related to derivation?

Very thanks in advance...
 
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