Euler E777: On solving the equation 0 = a + bx + cy + dx^2 + exy + fy^2 + gx^2y + hxy^2 + ix^2y^2 in rational numbers | English Translation | OMH v1.0

English translation of Leonhard Euler’s “De resolutione hujus aequationis 0 = a + bx + cy + dxx + exy + fyy + gxxy + hxyy + ixxyy per numeros rationales” (E777). 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/777/; facsimile, https://archive.org/details/mmoiresdelacad11impe.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-04
DOI
https://doi.org/10.5281/zenodo.23135370
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Euler E777: On solving the equation 0 = a + bx + cy + dx^2 + exy + fy^2 + gx^2y + hxy^2 + ix^2y^2 in rational numbers | English Translation | OMH v1.0

Vaibhav Shakya
Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
article

Euler E777: On solving the equation 0 = a + bx + cy + dx^2 + exy + fy^2 + gx^2y + hxy^2 + ix^2y^2 in rational numbers | English Translation | OMH v1.0

Vaibhav Shakya
article en

Abstract

English translation of Leonhard Euler’s “De resolutione hujus aequationis 0 = a + bx + cy + dxx + exy + fyy + gxxy + hxyy + ixxyy per numeros rationales” (E777). 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/777/; facsimile, https://archive.org/details/mmoiresdelacad11impe.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 6%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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