Bibliography
G. Fagnano, Collected Works, Especially vol. 2, papers XXXII, XXXIII and XXXIV.
John Bernoulli, Collected Works, vol. 3, lecture 34 of item CXLIX.
C. L. Siegel, Collected Works, vol. 3, pp. 249–251. See also Sammelband Leonhard Euler, Akademie Verlag Berlin 1959.
James Bernoulli, Collected works, vol. 1, 576–600.
L. Euler, Collected works, series 2, vol. 10, pp. 1–17.
C. Truesdell, The Rational Mechanics of Flexible or Elastic Bodies, 1687–1788, Published as part of the Collected works of Euler, series 2, vol. XI, part 2.
A. Weil, Essais Historiques sur la théorie des nombres. Lectures 1 and 2. Monographie # 22 de l'Enseignement Mathématique.
James Bernoulli, Collected works, vol. 2, pp. 999–1001.
L. Euler, Collected works, series 1, vol. 20, pp. 80–107.
L. Kiepert, Journal für die reine and Angewandte Mathematik, vol. 75, pp. 255–263.
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Ayoub, R. The lemniscate and Fagnano's contributions to elliptic integrals. Arch. Hist. Exact Sci. 29, 131–149 (1984). https://doi.org/10.1007/BF00348244
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DOI: https://doi.org/10.1007/BF00348244