(I don't even need triangles for my proof, since n > 2 for Fermat's Theorem.

** For triangles, n = 1 and a,b,c are scalar coefficients to vectors, and not necessarily unit vectors**. That is why you have no fricken idea what my proof is about. You know nothing about vectors, and my proof depends on them, by the independence of (a,b).

The vectors on the rhs don't even need to be orthogonal. In fact they aren't in most cases. In fact, they can point in any direction whatever. You're trying to reference magnitudes of vectors for the triangle inquality, but you have to specify how they are connected in relation to a basis for my proof, which requires the origin of a coordinate system.

(I was just concerned with Pythagorean triples for the exception when n = 2, which is irrelevant to the proof of Fermat's Theorem)

For circles and areas of rectangles, n = 2.

Village idiot. I can't believe you're a moderator.

History will judge; there are other readers...

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