Euler E452: Resolution of the equation Ax² + 2Bxy + Cy² + 2Dx + 2Ey + F = 0 in rational numbers and integers | English Translation | OMH v1.0

English translation of Leonhard Euler’s “Resolutio aequationis Ax² + 2Bxy + Cy² + 2Dx + 2Ey + F = 0 per numeros tam rationales quam integros” (E452). 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/452/; facsimile, https://archive.org/details/novicommentariac18impe.

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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.23138142
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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Euler E452: Resolution of the equation Ax² + 2Bxy + Cy² + 2Dx + 2Ey + F = 0 in rational numbers and integers | English Translation | OMH v1.0

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

Euler E452: Resolution of the equation Ax² + 2Bxy + Cy² + 2Dx + 2Ey + F = 0 in rational numbers and integers | English Translation | OMH v1.0

Vaibhav Shakya
article en

Abstract

English translation of Leonhard Euler’s “Resolutio aequationis Ax² + 2Bxy + Cy² + 2Dx + 2Ey + F = 0 per numeros tam rationales quam integros” (E452). 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/452/; facsimile, https://archive.org/details/novicommentariac18impe.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 6%
History and Theory of Mathematics
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Euler E452: Resolution of the equation Ax² + 2Bxy + Cy² + 2Dx + 2Ey + F = 0 in rational numbers and integers | English Translation | OMH v1.0 — Vaibhav Shakya · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS