Euler E758: On concordant and discordant pairs of forms of the type x²+my² and x²+ny² | English translation | OMH v1.0

English translation of Leonhard Euler’s E758, "De binis formulis speciei xx+myy et xx+nyy inter se concordibus et discordibus". 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/758/; original volume facsimile, https://archive.org/details/mmoiresdelacad08impe; Biodiversity Heritage Library, https://www.biodiversitylibrary.org/item/43683.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-04
DOI
https://doi.org/10.5281/zenodo.23145516
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Euler E758: On concordant and discordant pairs of forms of the type x²+my² and x²+ny² | English translation | OMH v1.0

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

Euler E758: On concordant and discordant pairs of forms of the type x²+my² and x²+ny² | English translation | OMH v1.0

Vaibhav Shakya
article en

Abstract

English translation of Leonhard Euler’s E758, "De binis formulis speciei xx+myy et xx+nyy inter se concordibus et discordibus". 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/758/; original volume facsimile, https://archive.org/details/mmoiresdelacad08impe; Biodiversity Heritage Library, https://www.biodiversitylibrary.org/item/43683.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 1%
History and Theory of Mathematics
DOIOpen Access PDFOpenAlex
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