Johannes Buteo

Johannes Buteo , or Jean Buteo, Jean Borrel, (1492, Dauphine - towards 1564 - 1572), French mathematician

It entered to the Abbaye Saint-Anthony around 1508 and studied the languages and the Mathématiques, becoming so qualified that it could read Greek Euclide in . In 1522 it goes to Paris where it studied under the influence of Oronce Finé. It started to publish works only after having been sixty years old. He wrote mainly on the Géométrie and the Arithmétique. He is famous to have to refute those which claimed to have found the solution of the Quadrature of the circle, including Oronce Finé.

Publications

Opera Geometrica . Lyon, Bertellus. 1554.
Logistica . Lyon, Guillaume Rusted, 1559. The Logistica is the most important work of Buteo. It is divided into five books which treat Arithmétique, the Algèbre. Terms such as " million" and " zéro" , and of the symbols such as p and m for + and - spectacle indicates an Italian influence. There is a description of the processing of simultaneous linear equations, with notations borrowed from Stifel; there are also approximations of the square root and cubic root influenced by Chucquet according to Estienne of the Rock… In Of will quadratura circuli " Buteo refutes the claims of those which claimed to have found the solution of the Quadrature of the circle, more particularly those of its Master, Oronce Fine. By contrast, he discusses favorably the approximations found by Bryson, Archimedes, and Ptolémée. He mentions also two approximate values of the number pi ".
Of will quadratura circuli libri duet, ubi multorum quadraturae confutantur, & abomnium impugnatione defenditur Archimedes. Ejusdem annotationum opuscula in errores Campani, Zamberti, Orontij, Peletarij, OJ. Penae interpretum Euclidis. Lyon, Guillaume Rusted, 1559. It is in this work qu" “L shows that the author of the demonstrations of the " Elements " of Euclide n" was not Théon as it then was believed, but Euclide itself.

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