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Title: A "lacuna" in Proposition 9 of Archimedes' On the Sphere and the Cylinder, Book I
Author: Masià Fornos, Ramon
Others: Universitat Oberta de Catalunya (UOC)
Keywords: Archimedes
Eutocius
On the sphere and the cylinder
Issue Date: Nov-2010
Publisher: Historia mathematica
Citation: Masià Fornos, R. (2010). A "lacuna" in Proposition 9 of Archimedes' On the Sphere and the Cylinder, Book I. Historia mathematica, 37(4), 568-578. doi: 10.1016/j.hm.2009.10.005
Also see: https://doi.org/10.1016/j.hm.2009.10.005
Abstract: The proof of Proposition 9 in Archimedes' On the Sphere and the Cylinder, Book i, contains an unproved statement that has been referred to as a 'lacuna.' Most editors and experts in Archimedean texts have agreed on the existence of this gap and have offered different proofs for the statement, some of them with incomplete or even incorrect arguments. In this paper, I offer arguments of a mathematical, historical, and textual nature that show that it is not necessary to assume the presence of any gap in the text.
Language: English
URI: http://hdl.handle.net/10609/109807
ISSN: 0315-0860MIAR
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