Euler E764: An Easy Solution of a Most Difficult Question, in Which the Most General Formula vvzz(axx+byy)^2 + Δxxyy(avv+bzz)^2 Is Required to Be Reduced to a Square | English Translation | OMH v1.0

English translation of Leonhard Euler’s “Resolutio facilis quaestionis difficillimae, qua haec formula maxime generalis: vvzz(axx+byy)^2 + Δxxyy(avv+bzz)^2 ad quadratum reduci postulatur” (E764). 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/764/; facsimile, https://archive.org/details/miresdelacadeimp09impe.

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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.23133004
Primary Topic
History and Theory of Mathematics
Type
article
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article

Euler E764: An Easy Solution of a Most Difficult Question, in Which the Most General Formula vvzz(axx+byy)^2 + Δxxyy(avv+bzz)^2 Is Required to Be Reduced to a Square | English Translation | OMH v1.0

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

Euler E764: An Easy Solution of a Most Difficult Question, in Which the Most General Formula vvzz(axx+byy)^2 + Δxxyy(avv+bzz)^2 Is Required to Be Reduced to a Square | English Translation | OMH v1.0

Vaibhav Shakya
article en

Abstract

English translation of Leonhard Euler’s “Resolutio facilis quaestionis difficillimae, qua haec formula maxime generalis: vvzz(axx+byy)^2 + Δxxyy(avv+bzz)^2 ad quadratum reduci postulatur” (E764). 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/764/; facsimile, https://archive.org/details/miresdelacadeimp09impe.

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