Preprint Article Version 1 This version is not peer-reviewed

A generalisation of Pythagoras’ theorem

Version 1 : Received: 24 July 2024 / Approved: 5 August 2024 / Online: 5 August 2024 (12:48:55 CEST)

How to cite: Mantz, C. A generalisation of Pythagoras’ theorem. Preprints 2024, 2024080319. https://doi.org/10.20944/preprints202408.0319.v1 Mantz, C. A generalisation of Pythagoras’ theorem. Preprints 2024, 2024080319. https://doi.org/10.20944/preprints202408.0319.v1

Abstract

We provide a generalisation of Pythagoras’ theorem, which enables us to calculate the absolute value of a hypersurface of arbitrary dimensions in terms of its projections. For a one dimensional hyperplane the theorem reduces to Pythagoras’ theorem.

Keywords

Pythagoras, inner product, hypersurface

Subject

Computer Science and Mathematics, Mathematics

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