The Latin Tradition: De quadratura circuli

Wilbur Richard Knorr
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Wilbur Richard Knorr: Stanford University, Program in the History of Science

Chapter Chapter 9 in Textual Studies in Ancient and Medieval Geometry, 1989, pp 617-688 from Springer

Abstract: Abstract Just as in Arabic the prototype translation (AF*) of the Archimedean circle quadrature was adapted by later scholars like Abu ’l-Rashîd and al-Tûsî, so in Latin the translation by Gerard (LG) formed the basis of a number of revised versions. In general, the Latin editors expand the text by filling out elliptical expressions, supplying the proofs of results in the proofs, inserting references to Euclid, and so on. They sometimes change the order of exposition, or adapt the terminology to a more natural Latin style. Occasionally, there appear insights on aspects of the logic of the proof—e.g., statements of certain postulates that it assumes. But unlike al-Tûsî or even the Banû Mûsâ, the Latin editors only rarely incorporate new technical insights or alternative conceptions of the proof.

Keywords: Circle Theorem; Inscribe Polygon; Radius Time; Latin Editor; Extant Copy (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-1-4612-3690-0_25

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