Euler E751: A simple analysis for solving the Riccati equation by a continued fraction | English translation | OMH v1.0

English translation of Leonhard Euler's E751, A simple analysis for solving the Riccati equation by a continued fraction. 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 E751 (https://scholarlycommons.pacific.edu/euler-works/751/); digitized source volume (https://archive.org/details/mmoiresdelacad06impe); BHL item 43684 (https://www.biodiversitylibrary.org/item/43684).

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-05
DOI
https://doi.org/10.5281/zenodo.23169592
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Euler E751: A simple analysis for solving the Riccati equation by a continued fraction | English translation | OMH v1.0

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

Euler E751: A simple analysis for solving the Riccati equation by a continued fraction | English translation | OMH v1.0

Vaibhav Shakya
article en

Abstract

English translation of Leonhard Euler's E751, A simple analysis for solving the Riccati equation by a continued fraction. 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 E751 (https://scholarlycommons.pacific.edu/euler-works/751/); digitized source volume (https://archive.org/details/mmoiresdelacad06impe); BHL item 43684 (https://www.biodiversitylibrary.org/item/43684).

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