Euler E485: Theory of the Moon: Answer to the question proposed by the Royal Academy of Sciences of Paris for the year 1770 | English translation | OMH v1.0
Year: 2026
Type: article
Abstract: English translation of “Réponse à la question proposée par l'académie royale des sciences de Paris, pour l'année 1770” by Leonhard Euler and Johann Albrecht Euler (Eneström E485), titled “Theory of the Moon: Answer to the question proposed by the Royal Academy of Sciences of Paris for the year 1770.” Joint authorship is established by the source volume’s preface; this edition translates the complete 94-page work rather than the short Opera Omnia extract. Prepared for Open Math Heritage with OpenAI-assisted translation, mathematical transcription and LaTeX typesetting. OMH v1.0 is a machine-assisted draft that has undergone a full, fresh AI-assisted technical audit of source coverage, translation, formulas, tables and figures where present, and rendered output. This is not a claim of human scholarly review or certification of the historical mathematics. Version 2 is reserved for a fully reviewed edition. Original publication: Recueil des pièces qui ont remporté les prix de l’Académie royale des sciences, vol. 9, pp. 1–94, with the geometric plate on p. 2. The volume title and Euler Archive give 1777; the preface dated 25 November 1776 reports publication in December 1776. The essay answers the prize question for 1770. The cited Opera Omnia extract is not the complete base text. Sources: https://scholarlycommons.pacific.edu/euler-works/485/; https://archive.org/details/recueildespces09piec. The source scan’s CC BY-NC 3.0 notice remains distinct from the historical text’s public-domain status; the geometric plate is not relicensed under a blanket translation license. The original historical text is public domain by age; no publication license is assigned here to the new translation or editorial notes.
Author: Shakya, Vaibhav
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222969284