Aspects of this topic are discussed in the following places at Britannica.
...was a prominent representative of the humanist movement in mathematics that set itself the project of restoring and furthering the achievements of the Classical Greek geometers. In his In artem analyticem isagoge (1591; “Introduction to the Analytic Arts”), Viète, as part of his program of rediscovering the method of analysis used by the ancient Greek...
...all six trigonometric functions—for computing plane and spherical triangles. Viète has been called “the father of modern algebraic notation,” and his In artem analyticem isagoge (1591; “Introduction to the Analytical Arts”) closely resembles a modern elementary algebra text. His contribution to the theory of equations is De...
...François Viète that the first consistent, coherent, and systematic conception of an algebraic equation in the modern sense appeared. A main innovation of Viète’s In artem analyticam isagoge (1591; “Introduction to the Analytic Art”) was its use of well-chosen symbols of one kind (vowels) for unknowns and of another kind (consonants) for...
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