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Fagnano and the Lemniscate

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Part of the Lecture Notes in Mathematics book series (HISTORYMS,volume 2162)

Abstract

Fagnano published his study of the lemniscate in his 1718 papers [56] and [57]. He was so proud of it that, in the 1750 edition of his collected mathematical works, he chose a lemniscate for the decoration of the front page, surmounted by the motto “Deo Veritatis Gloria” (see Fig. 6.1).

Keywords

  • Lemniscate
  • Fagnano
  • Front Page
  • Pride Myself
  • Short Memoir

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Fig. 6.1

References

  1. R. Descartes, The Geometry (Dover Publications, New York, 1954). Translation by D.E. Smith, M.L. Latham of Géométrie, Ian Maire marchand libraire à Leyde, 1637, with facsimile in this Dover edition

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  2. R. Descartes, Exercices pour les éléments des solides, in Collection “Épiméthée” (Presses Universitaires de France, Paris, 1987). Commented translation by Pierre Costabel of Leibniz’s copy of a manuscript of Descartes called Progymnasmata de Solidorum Elementis

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  3. G.C. di Fagnano, Metodo per misurare la Lemniscata, Schediasma II. G. Letterati d’Italia 29, 258 (1718) and the following ones. Republished in Produzioni Mathematiche. II (Pesaro, 1750), pp. 343–348

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  4. A.I. Smadja, La lemniscate de Fagnano et la multiplication complexe (2004). halshs-00456361

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  5. J. Stillwell, Mathematics and its History, 2nd edn. (Springer, New York, 2002)

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Popescu-Pampu, P. (2016). Fagnano and the Lemniscate. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_6

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