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The Lemniscate of Bernoulli

Translation of a paper read to the Congress of Dutch Mathematicians at Delft on April 6th, 1970

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Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 15))

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References

  • For Jakob Bernoulli’s Acta articles, see his Opera (1744, reprint Brussels 1968) pp. 601–607 (June 1694) and pp. 608–612 (Sept. 1694, herein the passage on constructions discussed on p. 13). Johann Bernoulli’s October 1694 article can be found in his Opera Omnia (1742, reprint Hildesheim 1968) vol. I, pp. 119–122. Leibniz’s proposal of the Paracentric Isochrone problem (Acta, April 1689) is found in the edition of his Mathematische Schriften (1849–63, reprint Hildesheim 1961–62) vol. V, pp. 234–237; for his construction of the Tractrix (Acta, Sept. 1693). See Math. Schr., vol. V, pp. 294- 301, and for the passage from his letter of 21 March 1694 to Bernoulli, quoted on p. 8 see ibid., vol. Ill, p. 137. Huygens’s construction of the Catenary can be found in his Oeuvres Complètes (1888–1950), vol. X, pp. 414 sqq.

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© 1974 D. Reidel Publishing Company, Dordrecht-Holland

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Bos, H.J.M. (1974). The Lemniscate of Bernoulli. In: Cohen, R.S., Stachel, J.J., Wartofsky, M.W. (eds) For Dirk Struik. Boston Studies in the Philosophy of Science, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2115-9_1

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  • DOI: https://doi.org/10.1007/978-94-010-2115-9_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-0379-8

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