Versions in the Ancient Commentators

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

Chapter Chapter 1 in Textual Studies in Ancient and Medieval Geometry, 1989, pp 375-400 from Springer

Abstract: Abstract Of all the works in the Archimedean corpus, none has been more widely studied from ancient and medieval times to the present day than the short tract on the measurement of the circle.1 It was cited frequently by the ancient mathematical commentators, was known in the Latin Middle Ages in translations both from the Arabic and directly from the Greek, and remains prominent in all general discussions of Archimedes’ geometry to this day.2 The popularity of this work is easily understood. Its technical demands are slight, requiring little beyond the theory in Book XII of Euclid’s Elements and the resolve to wade through the details of an extended computation. Yet a close reading reveals unexpected subtleties, and for all its brevity it represents well the objectives and methods evident throughout the Archimedean corpus.

Keywords: Circular Segment; Circle Theorem; Area Theorem; Sector Theorem; Collection Versus (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-3690-0_17

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DOI: 10.1007/978-1-4612-3690-0_17

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