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).
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References
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
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
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
A.I. Smadja, La lemniscate de Fagnano et la multiplication complexe (2004). halshs-00456361
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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DOI: https://doi.org/10.1007/978-3-319-42312-8_6
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