Euler E086: On the motion of bodies on movable surfaces | English translation | OMH v1.0

English translation of “De motu corporum in superficiebus mobilibus” (Eneström E086), titled “On the motion of bodies on movable surfaces.” Attribution: Leonhard Euler. This PDF includes all original pp. 1–136, sections I–C, both symbolic force tables, and four plates containing twenty-seven figures. 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 independent 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: Opuscula varii argumenti, vol. 1 (Berlin, 1746), pp. 1–136 and Plates I–IV. Sources: https://scholarlycommons.pacific.edu/euler-works/86/; https://doi.org/10.3931/e-rara-4277. The ETH-Bibliothek Zürich witness, Rar 4976: 1, explicitly carries the Public Domain Mark 1.0; the original plate lettering is retained. Historical formula inconsistencies and figure-reference qualifications are preserved in editorial notes. The historical original is public domain by age; no publication license is assigned here to the new translation or editorial notes.