& Nulla uel figura Nihili." [Scheubel, 1545, p. 1 of ch. 1.]
_Nulla_ is also used by Italian writers. Thus Sfortunati (1545 ed., f. 4)
says: "et la decima nulla & e chiamata questa decima zero;" Cataldi (1602,
p. 1): "La prima, che e o, si chiama nulla, ouero zero, ouero niente." It
also found its way into the Dutch arithmetics, e.g. Raets (1576, 1580 ed.,
f. A_3): "Nullo dat ist niet;" Van der Schuere (1600, 1624 ed., f. 7);
Wilkens (1669 ed., p. 1). In Germany Johann Albert (Wittenberg, 1534) and
Rudolff (1526) both adopted the Italian _nulla_ and popularized it. (See
also Kuckuck, _Die Rechenkunst im sechzehnten Jahrhundert_, Berlin, 1874,
p. 7; Guenther, _Geschichte_, p. 316.)
[243] "La dixieme s'appelle chifre vulgairement: les vns l'appellant zero:
nous la pourrons appeller vn Rien." [Peletier, 1607 ed., p. 14.]
[244] It appears in the Polish arithmetic of K[=l]os (1538) as _cyfra_.
"The Ciphra 0 augmenteth places, but of himselfe signifieth not," Digges,
1579, p. 1. Hodder (10th ed., 1672, p. 2) uses only this word (cypher or
cipher), and the same is true of the first native American arithmetic,
written by Isaac Greenwood (1729, p. 1). Petrus de Dacia derives _cyfra_
from circumference. "Vocatur etiam cyfra, quasi circumfacta vel
circumferenda, quod idem est, quod circulus non habito respectu ad
centrum." [Loc. cit., p. 26.]
[245] _Opera mathematica_, 1695, Oxford, Vol. I, chap. ix, _Mathesis
universalis_, "De figuris numeralibus," pp. 46-49; Vol. II, _Algebra_, p.
10.
[246] Martin, _Origine de notre systeme de numeration ecrite_, note 149, p.
36 of reprint, spells [Greek: tsiphra] from Maximus Planudes, citing Wallis
as an authority. This is an error, for Wallis gives the correct form as
above.
Alexander von Humboldt, "Ueber die bei verschiedenen Voelkern ueblichen
Systeme von Zahlzeichen und ueber den Ursprung des Stellenwerthes in den
indischen Zahlen," Crelle's _Journal fuer reine und angewandte Mathematik_,
Vol. IV, 1829, called attention to the work [Greek: arithmoi Indikoi] of
the monk Neophytos, supposed to be of the fourteenth century. In this work
the forms [Greek: tzuphra] and [Greek: tzumphra] appear. See also Boeckh,
_De abaco Graecorum_, Berlin, 1841, and Tannery, "Le Scholie du moine
Neophytos," _Revue Archeologique_, 1885, pp. 99-102. Jordan, loc. cit.,
gives from twelfth and thirteenth century manuscripts the forms _cifra_,
_ciffre_, _chifras_, and _cifrus_. Du Cange, _Glossarium mediae
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