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De aequationum recognitione et emendatione

work by Viète

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De aequationum recognitione et emendatione is a significant work by Fran\u00e7ois Vi\u00e8te, a mathematician often called the "father of modern algebraic notation". Published posthumously in 1615, this work focuses on the theory of equations.1

Vi\u00e8te's key contribution in this text was presenting methods for solving equations of the second, third, and fourth degrees. He also recognized the relationship between the positive roots of an equation and its coefficients. This work was part of a broader effort in the late 16th century to consolidate the modern concept of an equation as a distinct mathematical entity, emphasizing systematic thinking and general solutions over ad hoc methods.12

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