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Thomas Simpson and Dido’s problem

Bibliography

  • Acheson, David, The wonder book of geometry, Oxford: Oxford University Press, 2020.
  • Bandle, Catherine, ‘Dido’s problem and its impact on modern mathematics’, Notices of the American Mathematical Society, 64 (2017), 980–984.
  • Blanco, Monica, ‘Thomas Simpson: weaving fluxions in 18th-century London’, Historia Mathematica, 41 (2014), 38–81. doi:10.1016/j.hm.2013.07.001.
  • Blasjo, Viktor, ‘The isoperimetric problem’, American Mathematical Monthly, 112/6 (2005), 526–566.
  • Courant, Richard, and Robbins, Herbert, What is mathematics? Oxford: Oxford University Press, 1941.
  • Hildebrandt, Stefan, and Tromba, Anthony, The parsimonious universe, New York: Copernicus, 1996.
  • Niven, Ivan, Maxima and minima without calculus, Washington, DC: Mathematical Association of America, 1981.
  • O’Connor, J.J. and Robertson, E.F. Thomas Simpson. In MacTutor History of Mathematics Archive, 2005. https://mathshistory.st-andrews.ac.uk/Biographies/Simpson/.
  • Simpson, Thomas, Elements of plane geometry, London: John Nourse, 1747.
  • Simpson, Thomas, Elements of geometry, London: John Nourse, 1760.
  • Steiner, Jakob, ‘Sur le maximum et le minimum des figures dans le plan, sur la sphère et dans l’espace en général, premier mémoire’, Journal de Mathématiques Pures et Appliquées, 6 (1841), 105–170. (This is a French translation. The original German version appeared a year later in J. Reine Angew. Math, 24 (1842), 93–162. In both cases, the geometrical argument under discussion appears in section 17.)