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The present comprehensive use of the term is but an extension of the Middle-Age division of the liberal arts into the Trivium, Grammar, Rhetoric, Dialectics, and the Quadrivium, Arithmetic, Music, Geometry, and Astronomy, as expressed in the verse, "Lingus, tropus, ratio, numerus, tenor, angulus, astra." The term Magister Artium Liberalium, so often met with, refers to these.
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