Euler E362: Necessary corrections to the theory of magnetic declination proposed in volume XIII of the Memoirs | English translation | OMH v1.0

English translation of “Corrections nécessaires pour la théorie de la déclinaison magnétique, proposée dans le XIII volume des Mémoires” by Leonhard Euler (Eneström E362), titled “Necessary corrections to the theory of magnetic declination proposed in volume XIII of the Memoirs.” 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: Mémoires de l’Académie des sciences de Berlin, vol. 22 (year 1766, printed 1768), pp. 213–264, numerical table and Plates XIV–XV. Sources: https://scholarlycommons.pacific.edu/euler-works/362/; 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.