ABSTRACT
The author of the Geometry II reports that a certain "Architas" had adapted the abacus for the Roman world. The name "Architas" is artifical: the abacists of the 11th and 12th century considered Gerbert as the inventor of the abacus table. Geometry II is a mathematical compendium in two books, which is partly geometrical and partly arithmetical. The major part is geometrical; only at the end of each of the two books is arithmetic treated, rules for calculation on the abacus. The Geometry II attributed to Boethius is typical of the state of mathematics in the 11th century - at a time when mathematics was at a very low level. The historical value of the work lies in its being one of the earliest in which the abacus table and the Hindu-Arabic numerals were presented and in its preservation of parts of the translation of Euclid's Elements by Boethius.
