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http://hdl.handle.net/10609/46722
Title: A new reading of Archytas' doubling of the cube and its implications
Author: Masià Fornos, Ramon
Keywords: Archytas
Ancient Greek Mathematics
Geometry
Geogebra
Classical Philology
doubling the cube
Issue Date: 1-Jan-2015
Publisher: Springer
Citation: Masià, R. (2015). A new reading of Archytas' doubling of the cube and its implications. Archive for History of Exact Sciences, 70(2), 175-204. doi: 10.1007/s00407-015-0165-9
Abstract: The solution attributed to Archytas for the problem of doubling the cube is a landmark of the pre-Euclidean mathematics. This paper offers textual arguments for a new reading of the text of Archytas' solution for doubling the cube, and an approach to the solution which fits closely with the new reading. The paper also reviews modern attempts to explain the text, which are as complicated as the original, and its connections with some xvi-century mathematical results, without any documented relation to Archytas' doubling the cube.
Language: English
URI: http://hdl.handle.net/10609/46722
ISSN: 0003-9519MIAR
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