Euler E799: Fragments of a larger treatise on finding the relation between the sides of triangles whose area can be expressed rationally, and on a triangle in which the lines from each vertex bisecting the opposite sides are rational | English Transl

English translation of Leonhard Euler’s “Fragmenta commentationis cujusdam majoris, de invenienda relatione inter latera triangulorum, quorum area rationaliter exprimi possit” (E799). 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, https://scholarlycommons.pacific.edu/euler-works/799/; facsimile, https://doi.org/10.3931/e-rara-18437.