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Adam Adamandy Kochański’s Approximations of π: Reconstruction of the Algorithm

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References

  1. Cantor, M.: Vorlesungenuber Geschichte der Mathematik. B. G. Teubner, Leipzig (1880)

  2. Fukś, H.: Observationes cyclometricae by Adam Adamandy Kochański – Latin text with annotated English translation (2011). URL http://arxiv.org/abs/1106.1808

  3. Günther, S., Braunmühl, A., Wieleitner, H.: Geschichte der Mathematik. G. J. Göschen, Leipzig (1921)

  4. Kochański, A.A.: Observationes cyclometricae ad facilitandam praxin accomodatae. Acta Eruditorum 4, 394–398 (1685)

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  5. Lisiak SJ, B.: Adam Adamandy Kochański (1631–1700). Studium z dziejów filozofii i nauki w Polsce XVII wieku. Wydawnictwo WAM, Kraków (2005). In Polish

  6. Lisiak SJ, B., Grzebień SJ, L.: Correspondence of Adam Adamandy Kochański SJ (1657–1700). Wydawnictwo WAM, Kraków (2005). In Latin with Polish commentary.

  7. Metius, A.: Adriani Metii Alcmariano arithmeticae libri duo, et geometriae libri VI. Leiden (1626)

  8. Montucla, J.E.: Histoire Des Recherches Sur La Quadrature Du Cercle. Jombert, Paris (1754)

  9. OEIS Foundation Inc.: The on-line encyclopedia of integer sequences (2011). URL http://oeis.org/A191642

  10. Pawlikowska, Z.: Adam Adamandy Kochański and his mathematical works. Rocznik Pol. Tow. Mat. 11, 19–49 (1969). In Polish.

  11. Wall, H.S.: Analytic Theory Of Continued Fractions. Chelsea, New York (1967)

  12. Wallis, J.: Opera Mathematica. E Theatro Sheldoniano, Oxoniae (1695)

  13. Więsław, W.: Squaring the circle in XVI–XVIII centuries. In: M. Toepell (ed.) Mathematik im Wandel, vol. 4, pp. 127–139 (2009)

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Acknowledgements

The author acknowledges partial financial support from the Natural Sciences and Engineering Research Council of Canada (NSERC) in the form of a Discovery Grant. He also thanks Prof. Danuta Makowiec for help in acquiring relevant literature, Rev. Prof. Bogdan Lisiak SJ for prompt and helpful replies to inquires regarding A. A. Kochański and his works, as well as Prof. Witold Więsław for correction and clarification of a few historical details.

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Correspondence to Henryk Fukś.

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Fukś, H. Adam Adamandy Kochański’s Approximations of π: Reconstruction of the Algorithm. Math Intelligencer 34, 40–45 (2012). https://doi.org/10.1007/s00283-012-9312-1

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