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Loci: Convergence

James Gregory and the Pappus-Guldin Theorem

by Andrew Leahy (Knox College)

Acknowledgements and References

 

The author would like to thank Dennis Schneider for his help in using Mathematica to prepare the 3D images used in this article; The author would also like to thank the Centro di Ricerca Matematica Ennio De Giorgi and Pier Daniele Napolitani in particular for their support in the author's participation in the Scientific Revolutions of the XVI and XVII century workshop.

 

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  4. Napolitani, Pier Daniele and Ken Saito. "Royal Road or Labyrinth? Luca Valerio's De Centro Gravitatis Solidorum and the Beginnings of Modern Mathematics." Bollettino di Storia delle Scienze Matematiche 24 (2004).
  5. "Charles de la Faille." Dictionary of Scientific Biography. New York: Scribner, 1970.
  6. "Paul Guldin." Dictionary of Scientific Biography. New York: Scribner, 1970.
  7. Boyer, Carl. The History of the Calculus and its Conceptual Development. New York: Dover Publications, 1959.
  8. Bulmer-Thomas, Ivor. "Guldin's Theorem--Or Pappus's?" ISIS 75 (1984) 348-352.
  9. Torricelli, Evangelista. Opera di Evangelista Torricelli, vol. 1. Faenza, Italy: 1919.
  10. Anderson, Kirsti. "Cavalieri's method of indivisibles." Archive for history of exact sciences 31 (1985) 291-367.
  11. Katz, Victor. A History of Mathematics: An Introduction (3rd edition). Boston: Addison-Wesley, 2009.
  12. Stewart, James. Calculus: Early Vectors. Pacific Grove, California: Brooks/Cole, 1999.

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Leahy, Andrew, "James Gregory and the Pappus-Guldin Theorem," Loci (January 2009), DOI: 10.4169/loci003262



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