Euler E470: Explanation of the remarkable oscillatory motion observed in a large balance | English translation | OMH v1.0

English translation of Leonhard Euler’s E470, "Explicatio motus oscillatorii mirabilis in libra maiore observati". 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: Leonhard Euler, "Explicatio motus oscillatorii mirabilis in libra maiore observati," Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, volume XIX for 1774 (Petropoli: Typis Academiae Scientiarum, 1775), pp. 325–339; Plate III, Figure 5. Euler Archive E470: https://scholarlycommons.pacific.edu/euler-works/470/ . Original-volume scan, Natural History Museum Library, London: https://archive.org/details/novicommentariia19impe . Biodiversity Heritage Library item 113774: https://www.biodiversitylibrary.org/item/113774 .