rences to early Arabic writers the reader is referred to H.
Suter, _Die Mathematiker und Astronomen der Araber und ihre Werke_. Also
"Nachtraege und Berichtigungen" to the same (_Abhandlungen_, Vol. XIV,
1902, pp. 155-186).

[36] Suter, loc. cit., note 165, pp. 62-63.

[37] "Send Ben Ali,... tum arithmetica scripta maxime celebrata, quae
publici juris fecit." [Loc. cit., p. 440.]

[38] _Scritti di Leonardo Pisano_, Vol. I, _Liber Abbaci_ (1857); Vol. II,
_Scritti_ (1862); published by Baldassarre Boncompagni, Rome. Also _Tre
Scritti Inediti_, and _Intorno ad Opere di Leonardo Pisano_, Rome, 1854.

[39] "Ubi ex mirabili magisterio in arte per novem figuras indorum
introductus" etc. In another place, as a heading to a separate division, he
writes, "De cognitione novem figurarum yndorum" etc. "Novem figure indorum
he sunt 9 8 7 6 5 4 3 2 1."

[40] See _An Ancient English Algorism_, by David Eugene Smith, in
_Festschrift Moritz Cantor_, Leipzig, 1909. See also Victor Mortet, "Le
plus ancien traite francais d'algorisme," _Bibliotheca Mathematica_, Vol.
IX (3), pp. 55-64.

[41] These are the two opening lines of the _Carmen de Algorismo_ that the
anonymous author is explaining. They should read as follows:

Haec algorismus ars praesens dicitur, in qua
Talibus Indorum fruimur bis quinque figuris.

What follows is the translation.

[42] Thibaut, _Astronomie, Astrologie und Mathematik_, Strassburg, 1899.

[43] Gustave Schlegel, _Uranographie chinoise ou preuves directes que
l'astronomie primitive est originaire de la Chine, et qu'elle a ete
empruntee par les anciens peuples occidentaux a la sphere chinoise; ouvrage
accompagne d'un atlas celeste chinois et grec_, The Hague and Leyden, 1875.

[44] E. W. Hopkins, _The Religions of India_, Boston, 1898, p. 7.

[45] R. C. Dutt, _History of India_, London, 1906.

[46] W. D. Whitney, _Sanskrit Grammar_, 3d ed., Leipzig, 1896.

[47] "Das [=A]pastamba-['S]ulba-S[=u]tra," _Zeitschrift der deutschen
Morgenlaendischen Gesellschaft_, Vol. LV, p. 543, and Vol. LVI, p. 327.

[48] _Geschichte der Math._, Vol. I, 2d ed., p. 595.

[49] L. von Schroeder, _Pythagoras und die Inder_, Leipzig, 1884; H. Vogt,
"Haben die alten Inder den Pythagoreischen Lehrsatz und das Irrationale
gekannt?" _Bibliotheca Mathematica_, Vol. VII (3), pp. 6-20; A. Buerk, loc.
cit.; Max Simon, _Geschichte der Mathematik im Altertum_, Berlin, 1909, pp.
137-165; three S[=u]tras are translated in part by