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Extracting Square Roots Made Easy: A Little Known Medieval Method - References

Author(s): 
Friedrich Katscher (Vienna University of Technology)

Al-Hassâr, Abû Bakr Muhammad Ibn Ayâsh (Alabuchri) (1194). Kitâb al-bayân wa al-tadkâr fi san`at `amal al-`iyar, part 1, in Arabic (digital facsimile). Manuscript number: ljs293. Philadelphia: Schoenberg Center for Electronic Text and Image, University of Pennsylvania.
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Fermat, P. (1657). “Correspondance. Année 1657. LXXX. Fermat à Frénicle. Février 1657. LXXXI. Second défi de Fermat aux mathématiciens. Février 1657.” Oeuvres de Fermat, vol. 2 (1894), 333-334, 334-335. Paris: Gauthier-Villars.

Kunitzsch, P. (2007). “Al-Hassâr's Kitâb al-Bayân and the Transmission of the Hindu-Arabic Numerals.” MuslimHeritage.com (published 04 June, 2007; last accessed 10 May, 2010)
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Pacioli, L. (Frater Lucas de Burgo sancti Sepulchri) (1494). Summa de Arithmetica Geometria Proportioni et Proportionalita, 45 recto (paginated wrongly 46). Venice: Paganino de Paganini.

Pisano, Leonardo. (1857). Il Liber Abbaci, published by B. Boncompagni, Chapter 14. “On the finding of square and cube roots by multiplications and divisions, or on their extraction,” 353. Rome: Tipografia delle Scienze Matematiche e Fisiche.

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Tartaglia, N. (1556). General Trattato di Numeri e Misure, vol. II, 19 verso-20 recto (wrongly paginated 25-26). Venice: Curtio Trojano dei Navo.

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Woepcke, F. (1859). “Traduction du traité d'arithmétique d'Aboûl Hasan Ali ben Mohammed Alkalçadi,” Atti dell'Accademia Pontificia de' Nuovi Lincei, vol. XII, 230-275, 399-438; “On the manner to make the approximation more exact”: 404-405.

Woepcke, F. (1874). “Intorno ad un metodo per la determinazione approssimativa degl'irrazionali di secondo grado,” Bullettino di bibliografia e di storia delle scienze matematiche e fisiche, vol. VII (1874), 255-262.

Friedrich Katscher (Vienna University of Technology), "Extracting Square Roots Made Easy: A Little Known Medieval Method - References," Loci (November 2010), DOI:10.4169/loci003494

Dummy View - NOT TO BE DELETED