Archive for History of Exact Sciences

, Volume 70, Issue 2, pp 175–204 | Cite as

A new reading of Archytas’ doubling of the cube and its implications

  • Ramon Masià


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.


Initial Configuration Great Circle Final Configuration Textual Evidence Geometrical Element 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Universitat Oberta de CatalunyaBarcelonaSpain

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