Euler E287: On the vibrating motion of strings of unequal thickness | English translation | OMH v1.0

Abstract

English translation of “De motu vibratorio cordarum inaequaliter crassarum” by Leonhard Euler (Eneström E287), titled “On the vibrating motion of strings of unequal thickness.” 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: Novi Commentarii academiae scientiarum Petropolitanae, vol. 9 (years 1762–1763, printed 1764), pp. 246–304, two plates containing fifteen figures. Sources: https://scholarlycommons.pacific.edu/euler-works/287/. The independent source record reports NOT_IN_COPYRIGHT; no Creative Commons scan license or new translation license is inferred. The original historical text is public domain by age; no publication license is assigned here to the new translation or editorial notes.