THE USE OF “ARABIC” FIGURES.

It may now be regarded as proved by Bubnov that our present numerals are

derived from Greek sources through the so-called Boethian “apices,”

which are first found in late tenth century manuscripts. That they were

not derived directly from the Arabic seems certain from the different

shapes of some of the numerals, especially the 0, which stands for 5 in

Arabic. Another Greek form existed, which was introduced into Europe by

John of Basingstoke in the thirteenth century, and is figured by Matthew

Paris (V. 285); but this form had no success. The date of the

introduction of the zero has been hotly debated, but it seems obvious

that the twelfth century Latin translators from the Arabic were

perfectly well acquainted with the system they met in their Arabic text,

while the earliest astronomical tables of the thirteenth century I have

seen use numbers of European and not Arabic origin. The fact that Latin

writers had a convenient way of writing hundreds and thousands without

any cyphers probably delayed the general use of the Arabic notation.

Dr. Hill has published a very complete survey of the various forms

of numerals in Europe. They began to be common at the middle of the

thirteenth century and a very interesting set of family notes concerning

births in a British Museum manuscript, Harl. 4350 shows their extension.

The first is dated Mij^c. lviii., the second Mij^c. lxi., the third

Mij^c. 63, the fourth 1264, and the fifth 1266. Another example is given

in a set of astronomical tables for 1269 in a manuscript of Roger

Bacon’s works, where the scribe began to write MCC6. and crossed out

the figures, substituting the “Arabic” form.

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