[515] F. Bonaini, "Memoria unica sincrona di Leonardo Fibonacci," Pisa,
1858, republished in 1867, and appearing in the _Giornale Arcadico_, Vol.
CXCVII (N.S. LII); Gaetano Milanesi, _Documento inedito e sconosciuto a
Lionardo Fibonacci_, Roma, 1867; Guglielmini, _Elogio di Lionardo Pisano_,
Bologna, 1812, p. 35; Libri, _Histoire des sciences mathematiques_, Vol.
II, p. 25; D. Martines, _Origine e progressi dell' aritmetica_, Messina,
1865, p. 47; Lucas, in Boncompagni _Bulletino_, Vol. X, pp. 129, 239;
Besagne, ibid., Vol. IX, p. 583; Boncompagni, three works as cited in Chap.
I; G. Enestroem, "Ueber zwei angebliche mathematische Schulen im
christlichen Mittelalter," _Bibliotheca Mathematica_, Vol. VIII (3), pp.
252-262; Boncompagni, "Della vita e delle opere di Leonardo Pisano," loc.
cit.
[516] The date is purely conjectural. See the _Bibliotheca Mathematica_,
Vol. IV (3), p. 215.
[517] An old chronicle relates that in 1063 Pisa fought a great battle with
the Saracens at Palermo, capturing six ships, one being "full of wondrous
treasure," and this was devoted to building the cathedral.
[518] Heyd, loc. cit., Vol. I, p. 149.
[519] Ibid., p. 211.
[520] J. A. Symonds, _Renaissance in Italy. The Age of Despots._ New York,
1883, p. 62.
[521] Symonds, loc. cit., p. 79.
[522] J. A. Froude, _The Science of History_, London, 1864. "Un brevet
d'apothicaire n'empecha pas Dante d'etre le plus grand poete de l'Italie,
et ce fut un petit marchand de Pise qui donna l'algebre aux Chretiens."
[Libri, _Histoire_, Vol. I, p. xvi.]
[523] A document of 1226, found and published in 1858, reads: "Leonardo
bigollo quondam Guilielmi."
[524] "Bonaccingo germano suo."
[525] E.g. Libri, Guglielmini, Tiraboschi.
[526] Latin, _Bonaccius_.
[527] Boncompagni and Milanesi.
[528] Reprint, p. 5.
[529] Whence the French name for candle.
[530] Now part of Algiers.
[531] E. Reclus, _Africa_, New York, 1893, Vol. II, p. 253.
[532] "Sed hoc totum et algorismum atque arcus pictagore quasi errorem
computavi respectu modi indorum." Woepcke, _Propagation_ etc., regards this
as referring to two different systems, but the expression may very well
mean algorism as performed upon the Pythagorean arcs (or table).
[533] "Book of the Abacus," this term then being used, and long afterwards
in Italy, to mean merely the arithmetic of computation.
[534] "Incipit liber Abaci a Leonardo filio Bonacci compositus anno 1202 et
correctus ab eodem anno 1228." Three MSS. of the thirteenth century are
known, viz. at Milan, at Siena, and in the Vatican library. The work was
first printed by Boncompagni in 1857.
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