English translation of Leonhard Euler's E051, On the construction of equations by dragging motion and other matters concerning the inverse method of tangents. 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: Official Euler record, https://scholarlycommons.pacific.edu/euler-works/51/; Commentarii Academiae Scientiarum Imperialis Petropolitanae, volume VIII for 1736, Petropoli: Typis Academiae, 1741, pp. 66–85 and Plate V, https://archive.org/details/commentariiacade08impe; American Museum of Natural History Library, Biodiversity Heritage Library item 38573, https://www.biodiversitylibrary.org/item/38573.
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Vaibhav Shakya (2026) studied this question.
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