Pythagoras In Higher Dimensions, Euclidean and Non-

A brief survey of analogues of the Pythagorean Theorem in any-dimensional Euclidean space and at-most-3-dimensional spherical and hyperbolic non-Euclidean space. What are the higher-dimensional counterparts of the latter?

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22756287
Primary Topic
Mathematics and Applications
Type
preprint
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Pythagoras In Higher Dimensions, Euclidean and Non-

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Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
preprint

Pythagoras In Higher Dimensions, Euclidean and Non-

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preprint en

Abstract

A brief survey of analogues of the Pythagorean Theorem in any-dimensional Euclidean space and at-most-3-dimensional spherical and hyperbolic non-Euclidean space. What are the higher-dimensional counterparts of the latter?

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Mathematics and Applications
DOIOpen Access PDFOpenAlex
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