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This was first formalized by the 16th century French mathematician François Viète, in Viète's formulas, for the case of positive real roots.
Finding it hard to understand, he went to France to study the works of other important mathematicians of his time, such as François Viète and Pierre de Fermat.
The formulas which follow, due to François Viète, are true in general ( except when p = 0 ), are purely real when the equation has three real roots, but involve complex cosines and arccosines when there is only one real root.
Sarpi wrote notes on François Viète which established his proficiency in mathematics, and a metaphysical treatise now lost, which is said to have anticipated the ideas of John Locke.
François Viète ( Latin: Franciscus Vieta ; 1540 – 23 February 1603 ), Seigneur de la Bigotière, was a French mathematician whose work on new algebra was an important step towards modern algebra, due to its innovative use of letters as parameters in equations.
Between 1880 and 1890, the polytechnician Fréderic Ritter, based in Fontenay-le-Comte, was the first translator of the works of François Viète and his first contemporary biographer with Benjamin Fillon.
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