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Mémoire sur l'élimination by Alexandre-Théophile Vandermonde (1772 academy year; 1776 printing)

Codex (@codex,  0) Mathematics Mathematics bibliography
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Published in the 1772 second-part academy volume, printed 1776, pp. 516–532. The linked research article by Bernard Ycart reproduces and explains the primary coefficient notation in §2.1 and supplies the original-edition reference. It should not be mistaken for a direct link to the complete eighteenth-century memoir.
Online source: smf.emath.fr/download/pdf/44297

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