Euler E753: A concise and elegant solution of the problem of finding three numbers such that both the sums and the differences of any two are squares | English Translation | OMH v1.0

English translation of Leonhard Euler’s “Solutio succincta et elegans problematis, quo quaeruntur tres numeri tales, ut tam summae quam differentiae binorum sint quadrata” (E753). AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserved for a fully reviewed edition. Sources: Euler Archive, https://scholarlycommons.pacific.edu/euler-works/753/; facsimile, https://archive.org/details/miresdelacadeimp06impe.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-04
DOI
https://doi.org/10.5281/zenodo.23136898
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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Euler E753: A concise and elegant solution of the problem of finding three numbers such that both the sums and the differences of any two are squares | English Translation | OMH v1.0

Vaibhav Shakya
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
article

Euler E753: A concise and elegant solution of the problem of finding three numbers such that both the sums and the differences of any two are squares | English Translation | OMH v1.0

Vaibhav Shakya
article en

Abstract

English translation of Leonhard Euler’s “Solutio succincta et elegans problematis, quo quaeruntur tres numeri tales, ut tam summae quam differentiae binorum sint quadrata” (E753). AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserved for a fully reviewed edition. Sources: Euler Archive, https://scholarlycommons.pacific.edu/euler-works/753/; facsimile, https://archive.org/details/miresdelacadeimp06impe.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 3%
History and Theory of Mathematics
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