**Math`e*mat"ics** (?), n. [F. *mathématiques*, pl., L. *mathematica*, sing., Gr. μαθηματικη [τεχνη] (sc. ) science. See Mathematic, and -ics.]

That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.

*Mathematics* embraces three departments, namely: 1. Arithmetic. 2. Geometry, including Trigonometry and Conic Sections. 3. Analysis, in which letters are used, including Algebra, Analytical Geometry, and Calculus. Each of these divisions is divided into *pure* or *abstract*, which considers magnitude or quantity abstractly, without relation to matter; and *mixed* or *applied*, which treats of magnitude as subsisting in material bodies, and is consequently interwoven with physical considerations.

© Webster 1913.