Euler E222: A more complete theory of machines which are put in motion by the reaction of water | English translation | OMH v1.0

English translation of “Théorie plus complette des machines qui sont mises en mouvement par la réaction de l'eau” by Leonhard Euler (Eneström E222), titled “A more complete theory of machines which are put in motion by the reaction of water.” 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: Mémoires de l’Académie des sciences de Berlin, vol. 10 (year 1754, printed 1756), pp. 227–295, Plate IV, figures 1–5. Sources: https://scholarlycommons.pacific.edu/euler-works/222/; https://bibliothek.bbaw.de/digitalisierte-sammlungen/akademieschriften. Reproduced BBAW scan assets retain the collection’s stated current CC BY-SA conditions and attribution; no unsupported numbered license version or blanket license for the mixed-content edition is asserted. The original historical text is public domain by age; no publication license is assigned here to the new translation or editorial notes.