Article
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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
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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