Euler E225: General principles of the state of equilibrium of fluids | English translation | OMH v1.0

English translation of “Principes généraux de l'état d'équilibre des fluides” by Leonhard Euler (Eneström E225), titled “General principles of the state of equilibrium of fluids.” 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: Histoire de l’Académie royale des sciences et des belles-lettres de Berlin, vol. 11 (year 1755, printed 1757), pp. 217–273, three plates with figures 1–15. Sources: https://scholarlycommons.pacific.edu/euler-works/225/; 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.