What suggested the form for the zero is, of course, purely a matter of
conjecture. The dot, which the Hindus used to fill up lacunae in their
manuscripts, much as we indicate a break in a sentence,[194] would have
been a more natural symbol; and this is the one which the Hindus first
used[195] and which most Arabs use to-day. There was also used for this
purpose a cross, like our X, and this is occasionally found as a zero
symbol.[196] In the Bakh[s.][=a]l[=i] manuscript above mentioned, the word
_['s][=u]nya_, with the dot as its symbol, is used to denote the unknown
quantity, as well as to denote zero. An analogous use of the {54} zero, for
the unknown quantity in a proportion, appears in a Latin manuscript of some
lectures by Gottfried Wolack in the University of Erfurt in 1467 and
1468.[197] The usage was noted even as early as the eighteenth
century.[198]
The small circle was possibly suggested by the spurred circle which was
used for ten.[199] It has also been thought that the omicron used by
Ptolemy in his _Almagest_, to mark accidental blanks in the sexagesimal
system which he employed, may have influenced the Indian writers.[200] This
symbol was used quite generally in Europe and Asia, and the Arabic
astronomer Al-Batt[=a]n[=i][201] (died 929 A.D.) used a similar symbol in
connection with the alphabetic system of numerals. The occasional use by
Al-Batt[=a]n[=i] of the Arabic negative, _l[=a]_, to indicate the absence
of minutes {55} (or seconds), is noted by Nallino.[202] Noteworthy is also
the use of the [Circle] for unity in the ['S][=a]rad[=a] characters of the
Kashmirian Atharva-Veda, the writing being at least 400 years old.
Bh[=a]skara (c. 1150) used a small circle above a number to indicate
subtraction, and in the Tartar writing a redundant word is removed by
drawing an oval around it. It would be interesting to know whether our
score mark [score mark], read "four in the hole," could trace its pedigree
to the same sources. O'Creat[203] (c. 1130), in a letter to his teacher,
Adelhard of Bath, uses [Greek: t] for zero, being an abbreviation for the
word _teca_ which we shall see was one of the names used for zero, although
it could quite as well be from [Greek: tziphra]. More rarely O'Creat uses
[circle with bar], applying the name _cyfra_ to both forms. Frater
Sigsboto[204] (c. 1150) uses the same symbol. Other peculiar forms are
noted by Heiberg[205] as being in use among the Byzantine Greeks in the
fifteenth century. It is evident from the text that some of these writers
did not understand the import of the new system.[206]
Public-domain text, read in full here on John Shaqi.
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