Author

Y. Brezhnev

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Preprint Aug 2026

A Note on the Measure of Vector and Pythagorean Theorem

Why the square? We present a geometry-axiom-free derivation of the Pythagorean theorem and the square at its core, establishing their algebraic origin from within the bare vector-space framework. Such concepts as the (right) angle, rotation, inner product, orthogonality etc also emerge as a logical construct rather tha...

Y. Brezhnev · 0 citations