[203] C. Henry, "Prologus N. Ocreati in Helceph ad Adelardum Batensem
magistrum suum," _Abhandlungen zur Geschichte der Mathematik_, Vol. III,
1880.
[204] Max. Curtze, "Ueber eine Algorismus-Schrift des XII. Jahrhunderts,"
_Abhandlungen zur Geschichte der Mathematik_, Vol. VIII, 1898, pp. 1-27;
Alfred Nagl, "Ueber eine Algorismus-Schrift des XII. Jahrhunderts und ueber
die Verbreitung der indisch-arabischen Rechenkunst und Zahlzeichen im
christl. Abendlande," _Zeitschrift fuer Mathematik und Physik, Hist.-lit.
Abth._, Vol. XXXIV, pp. 129-146 and 161-170, with one plate.
[205] "Byzantinische Analekten," _Abhandlungen zur Geschichte der
Mathematik_, Vol. IX, pp. 161-189.
[206] [symbol] or [symbol] for 0. [symbol] also used for 5. [symbols] for
13. [Heiberg, loc. cit.]
[207] Gerhardt, _Etudes historiques sur l'arithmetique de position_,
Berlin, 1856, p. 12; J. Bowring, _The Decimal System in Numbers, Coins, &
Accounts_, London, 1854, p. 33.
[208] Karabacek, _Wiener Zeitschrift fuer die Kunde des Morgenlandes_, Vol.
XI, p. 13; _Fuehrer durch die Papyrus-Ausstellung Erzherzog Rainer_, Vienna,
1894, p. 216.
[209] In the library of G. A. Plimpton, Esq.
[210] Cantor, _Geschichte_, Vol. I (3), p. 674; Y. Mikami, "A Remark on the
Chinese Mathematics in Cantor's Geschichte der Mathematik," _Archiv der
Mathematik und Physik_, Vol. XV (3), pp. 68-70.
[211] Of course the earlier historians made innumerable guesses as to the
origin of the word _cipher_. E.g. Matthew Hostus, _De numeratione
emendata_, Antwerp, 1582, p. 10, says: "Siphra vox Hebraeam originem sapit
refertque: & ut docti arbitrantur, a verbo saphar, quod Ordine numerauit
significat. Unde Sephar numerus est: hinc Siphra (vulgo corruptius). Etsi
vero gens Iudaica his notis, quae hodie Siphrae vocantur, usa non fuit:
mansit tamen rei appellatio apud multas gentes." Dasypodius, _Institutiones
mathematicae_, Vol. I, 1593, gives a large part of this quotation word for
word, without any mention of the source. Hermannus Hugo, _De prima
scribendi origine_, Trajecti ad Rhenum, 1738, pp. 304-305, and note, p.
305; Karl Krumbacher, "Woher stammt das Wort Ziffer (Chiffre)?", _Etudes de
philologie neo-grecque_, Paris, 1892.
[212] Buehler, loc. cit., p. 78 and p. 86.
[213] Fazzari, loc. cit., p. 4. So Elia Misrachi (1455-1526) in his
posthumous _Book of Number_, Constantinople, 1534, explains _sifra_ as
being Arabic. See also Steinschneider, _Bibliotheca Mathematica_, 1893, p.
69, and G. Wertheim, _Die Arithmetik des Elia Misrachi_, Programm,
Frankfurt, 1893.
[214] "Cum his novem figuris, et cum hoc signo 0, quod arabice zephirum
appellatur, scribitur quilibet numerus."
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