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The Duplicators, Part I: Eutocius’ Collection of Cube Duplications - References

Author(s): 
Colin B. P. McKinney (Wabash College)

References

[1]  Dilworth v. Dudley, et al., 75 F.3d 307 (7th Cir. 1996).

[2]  Aristophanes. Birds. Loeb Classical Library 179. Harvard University Press, 2000.

[3]  Maria Pantelia (Director). Thesaurus Linguae Graecae.

[4]  Underwood Dudley. The Trisectors. Mathematical Association of America, 1994.

[5]  Albrecht Dürer. The Painter’s Manual. Abaris Books, 1977.

[6]  Michael N. Fried and Sabetai Unguru. Apollonius of Perga’s Conica: Text, Context, Subtext. Brill, 2001.

[7]  Stephanie Cawthorne and Judy Green. Cubes, Conic Sections, and Crocket Johnson. Convergence, 2014.

[8]  David E. Joyce. Euclid’s Elements: http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

[9]  Wilbur Richard Knorr. Textual Studies in Ancient and Medieval Geometry. Birkhaüser, 1989.

[10]  Wilbur Richard Knorr. The Ancient Tradition of Geometric Problems. Dover, 1993.

[11]  Theokritos Kouremenos. The tradition of the Delain problem and its origins in the Platonic corpus. Trends in Classics, 3:341–364, 2011.

[12]  Henry George Liddell and Robert Scott. Greek-English Lexicon. Clarendon Press, Oxford, 1996.

[13]  E. W. Marsden. Greek and Roman Artillery: Technical Treatises. Oxford, 1971.

[14]  Colin B. P. McKinney. Conjugate Diameters: Apollonius of Perga and Eutocius of Escalon.  PhD thesis, University of Iowa, 2010.

[15]  Euclid of Alexandria. Elements. In Sir Thomas Little Heath, editor, Euclid’s Elements. Green Lion Press, 2003.

[16]  Eutocius of Ascalon. Commentary on Archimedes’ On The Sphere and the Cylinder. In Johan Ludvig Heiberg, editor, Archimedis Opera omnia, cum commentariis Eutocii. E codice Florentino recensuit. B. G. Tuebneri, 1891.

[17]  Eutocius of Escalon.  Commentary on Archimedes’ On The Sphere and the Cylinder.  In Reviel Netz, editor, The Works of Archimedes: The Two Books On the Sphere and the Cylinder, volume 1. Cambridge University Press, 2004.

[18]  Eutocius of Ascalon. Commentary on Archimedes’ On The Sphere and the Cylinder. In Johan Ludvig Heiberg, editor, Archimedis Opera omnia, cum commentariis Eutocii. E codice Florentino recensuit. B. G. Tuebneri, Cambridge University Press, 2013. 

[19]  Apollonius of Perga. Conics: Books I-IV. Green Lion Press, 2013.

[20]  Archimedes of Syracuse. On the Sphere and the Cylinder. In Reviel Netz, editor, The Works of Archimedes: The Two Books On the Sphere and the Cylinder, volume 1. Cambridge University Press, 2004.

[21]  Gary S. Stoudt. Can You Really Derive Conic Formulae from a Cone? Convergence - Loci, 2015.

[22]  Ivor Thomas, editor. Greek Mathematical Works, Volume 1. Loeb Classical Library. Harvard University Press, 1939.

[23]  Ivor Thomas, editor. Greek Mathematical Works, Volume 2. Loeb Classical Library. Harvard University Press, 1939.

[24]  Ken Saito (斎藤憲). Doubling the Cube: A New Interpretation of Its Significance for Early Greek Geometry. Historia Mathematica, 22:119–137, 1995.

[25]  Hideko Ishizu (石津秀子). Another solution to the polyhedron in Dürer’s Melencolia: A visual demonstration of the Delian problem. Aesthetics, (13):179–194, 2009. 

Colin B. P. McKinney (Wabash College), "The Duplicators, Part I: Eutocius’ Collection of Cube Duplications - References," Convergence (May 2016)

Dummy View - NOT TO BE DELETED

The Duplicators, Part I: Eutocius's Collection of Cube Duplications