Euler E618: Consideration of a remarkable motion that can occur in a perfectly flexible string | English translation | OMH v1.0

English translation of Leonhard Euler's E618, Consideration of a remarkable motion that can occur in a perfectly flexible string. 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: Euler Archive E618 (https://scholarlycommons.pacific.edu/euler-works/618/); digitized source volume (https://archive.org/details/novaactaacademia02impe); BHL item 38498 (https://www.biodiversitylibrary.org/item/38498).