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Squaring the Circle: A Literary History

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Abstract

We examine how three authors, Dante Alighieri, Margaret Cavendish, and James Joyce, employed allusions to the classical problem of squaring the circle, i.e., using only a compass and a straightedge to construct a square whose area equals that of a given circle. These discussions will be against the background of what was known mathematically about solving the problem when they wrote—respectively, in the fourteenth, seventeenth, and twentieth centuries. We will also discuss, as best as can be determined, what each author believed, knew, or could have known about the mathematical status of the problem and what this reveals about their use of the construction in their writings.

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References

  • Albert the Great. 1951. Physica. Edited by B. Geyer et al. Münster: Aschendorff.

    Google Scholar 

  • Alighieri, Dante. 2003. The Divine Comedy: The Inferno, the Purgatorio, and the Paradiso. Translated by John Ciardi. New York: New American Library.

    Google Scholar 

  • Aquinas, Thomas. 1970. Commentary on Posterior Analytics of Aristotle. Translated by F. R. Larcher. Albany, NY: Magi Books.

    Google Scholar 

  • Bertuol, Roberto. 2001. “The Square Circle of Margaret Cavendish: the 17th-century Conceptualization of Mind by Means of Mathematics.” Language and Literature 10: 21−39.

    Google Scholar 

  • Blake, Liza. 2017. Margaret Cavendish’s Poems and Fancies, Part I. http://poemsandfancies.rblake.net/. Accessed on July 12, 2017.

  • Cavendish, Margaret. 1653. Poems and Fancies. London: Printed by T. R for F. Martin and F. Allestrye.

    Google Scholar 

  • ———. 1664. Poems and Fancies. The Second Impression, much Altered and Corrected. London: Printed by William Wilson.

    Google Scholar 

  • Dasenbrock, Reed Way and Mines, Ray. 2002. “‘Quella Vista Nova’: Dante, Mathematics and the Ending of Ulysses.” In Medieval Joyce, edited by Lucia Boldrini, 79−91. Amsterdam and New York: Rodopi.

    Google Scholar 

  • Ellmann, Richard (ed.). 1975. Selected Letters of James Joyce. New York: The Viking Press.

    Google Scholar 

  • ———.1977. The Consciousness of Joyce. Toronto and New York: Oxford University Press.

    Google Scholar 

  • Fibonacci. 2008. Fibonacci’s De Practica Geometry. Edited by Barnabas Hughes. New York: Springer.

    Google Scholar 

  • Hall, H.S., and F.H. Stevens. 1904. A Text-Book of Euclid’s Elements. London: Macmillan.

    Google Scholar 

  • Heath, Thomas. 1981. A History of Greek Mathematics, vol. I. New York: Dover.

    Google Scholar 

  • ———. 1988. Mathematics in Aristotle. Bristol, England: Thoemmes Press.

    Google Scholar 

  • Herzman, Ronald B. and Gary W. Towsley. 1994. “Squaring the Circle: Paradiso 33 and the Poetics of Geometry.” Traditio 49: 95−125.

    Google Scholar 

  • Hutton, Sarah. 2009. “In Dialogue with Thomas Hobbes: Margaret Cavendish’s Natural Philosophy.” In Ashgate Critical Essays on Women Writers in England, 1550−1700: Volume 7 Margaret Cavendish, edited by Sara H. Mendelson, 192−208. Surrey, England: Ashgate Publishing Limited.

    Google Scholar 

  • Joyce, James. 1961. Ulysses. New York: Vintage Books.

    Google Scholar 

  • Kenner, Hugh. 1987. Ulysses: Revised Edition. Baltimore: Johns Hopkins University Press.

    Google Scholar 

  • Levine, Robert. 1985. “Squaring the Circle: Dante’s Solution.” Neuphilologische Mitteilungen 86: 280−84.

    Google Scholar 

  • Lutzen, Jesper. 2014. “17th Century Arguments for the Impossibility of the Indefinite and Definite Circle Quadrature.” Revue d’Histoire des Mathématiques 20: 211−51.

    Google Scholar 

  • Mancosu, Paolo. 1996. Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century. New York and Oxford: Oxford University Press.

    Google Scholar 

  • Pardies, F. Ignat. Gaston. 1734. Short, but yet Plain Elements of Geometry, 7th ed. Translated by John Harris. London: D. Midwinter.

    Google Scholar 

  • Reynolds, Mary T. 1981. Joyce and Dante: The Shaping Imagination. Princeton, NJ: Princeton University Press.

    Google Scholar 

  • Ross, W.D. 1949. Aristotle’s Prior and Posterior Analytics. Oxford: Oxford University Press.

    Book  Google Scholar 

  • Schubert, Hermann. 1898. Mathematical Essays and Recreations. Translated by Thomas J. McCormack. London: Kegan, Trench, Truebner, & Co.

    Google Scholar 

  • Singleton, Charles. 1975. The Divine Comedy: Paradiso, Volume 2, Commentary. Princeton, NJ: Princeton University Press.

    Google Scholar 

  • Wallis, John. 2004. The Arithmetic of Infinitesimals. Translated by Jacqueline A. Stedall. New York: Springer.

    Google Scholar 

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Tubbs, R. (2021). Squaring the Circle: A Literary History. In: Tubbs, R., Jenkins, A., Engelhardt, N. (eds) The Palgrave Handbook of Literature and Mathematics. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-030-55478-1_10

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