Notes made by Thomas Harriot on the treatises of François Viète

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In the Archive for History of Exact Sciences in 1979 Johannes Lohne published "A survey of Harriot's scientific writings". This has remained until now the only survey of the surviving manuscripts of Thomas Harriot (ca. 1560-1621). Lohne's paper is still a useful resource but it touches only very sketchily on Harriot's debt to François Viète (1540-1603), even though dozens of Harriot's manuscript sheets are filled with re-workings of problems or theorems from Viète's various treatises. Many of these sheets carry overt references to page or proposition numbers in Viète's publications, while others reveal themselves through inspection of the problem they contain. The primary aim of the present paper is to offer a new survey, of precisely those sheets where Harriot can be seen working on the mathematics of Viète. In doing so, it also offers an insight into the reception of Viète's work within his own lifetime at the hands of one of his most astute and able readers.

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