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

Archive for History of Exact Sciences 70 (2):175-204 (2016)
  Copy   BIBTEX

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.

Categories

Add categories

Keywords

Reprint years

DOI

10.1007/s00407-015-0165-9

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 94,045

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King.Carl A. Huffman - 2005 - New York: Cambridge University Press.
Archytas and the duplication of the cube.Luc Brisson - 2013 - In Gabriele Cornelli, Richard D. McKirahan & Constantinos Macris (eds.), On Pythagoreanism. Berlin: De Gruyter. pp. 203-234.
On Doubling the Cube: Mechanics and Conics.Michael J. White - 2006 - Apeiron 39 (3):201 - 219.
Lost in translation? Reading Newton on inverse-cube trajectories.Niccolò Guicciardini - 2016 - Archive for History of Exact Sciences 70 (2):205-241.
'Archytas: Author and Authenticator of Pythagoreanism'.Phillip Sidney Horky - 2021 - In Constantinos Macris, Luc Brisson & Tiziano Dorandi (eds.), Pythagoras Redivivus: Studies on the Texts Attributed to Pythagoras and the Pythagoreans. Academia – ein Verlag in der Nomos Verlagsgesellschaft. pp. 141-76.
Towards a Resolution of the Problem of τά ένί διαστηματι γ ραφόμενα In Pappus' Collection Book VIII.D. E. P. Jackson - 1980 - Classical Quarterly 30 (02):523-.
Towards a Resolution of the Problem of τά ένί διαστηματι γ ραφόμενα In Pappus' Collection Book VIII.D. E. P. Jackson - 1980 - Classical Quarterly 30 (2):523-533.
Steadily Cubic.Kristijan Krkač - 2020 - Disputatio Philosophica 21 (1):47-66.
How Radical is Derrida's Deconstructive Reading?Gerasimos Kakoliris - 2009 - Derrida Today 2 (2):177-186.
Archytas 139 (see also pseudo-Archytas) Aristarchus 6, 8, 9, 10.Aemilius Paulus - 2013 - In Malcolm Schofield (ed.), Aristotle, Plato and Pythagoreanism in the first century BC: new directions for philosophy. Cambridge: Cambridge University Press. pp. 154--301.

Analytics

Added to PP
2019-01-25

Downloads
18 (#828,658)

6 months
5 (#837,836)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

Lore and science in ancient Pythagoreanism.Walter Burkert - 1972 - Cambridge, Mass.,: Harvard University Press.

Add more references