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One book of introduction to categorical syllogisms.
Six books on the Topics of Cicero.
Four books On Topical Differences.
Two books On Categorical Syllogisms.
Two books On Hypothetical Syllogisms.
One book On Rhetorical Topics.
He translated Nicomachus the Arithmetician. Cassiodorus on Arithmetic: 'Among the Greeks, Nicomachus carefully expounded this: whom first Apuleius of Madaura, and then the magnificent man Boethius, translated into Latin speech and offered to the Romans for reading.'
Two books On Arithmetic.
He translated Pythagoras the Musician.
He wrote five books On Music.
He translated Euclid. Cassiodorus speaking of Geometry: 'Of which discipline,' he says, 'among the Greeks Euclid, Apollonius, and Archimedes, as well as other commendable writers, have appeared: from whom the same magnificent man Boethius provided Euclid translated into the Roman language, which, if it is read again with diligent care, that which is open concerning the aforementioned divisions will be known with clear understanding and clear truth.'
He wrote three books on the Geometry of Euclid.
On the Squaring of the Circle.
He translated Ptolemy the Alexandrian.
One book On Unity and the One.
Delphin and Variorum Classics.