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Webster 1913 Edition

Mathematics

Mathˊe-mat′ics

,
Noun.
[F.
mathématiques
, pl., L.
mathematica
, sing., Gr. [GREEK] (sc. [GREEK]) 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 1828 Edition

Mathematics

MATHEMAT'ICS

,
Noun.
[L. mathematica, from Gr. to learn.] The science of quantity; the science which treats of magnitude and number, or of whatever can be measured or numbered. This science is divided into pure or speculative, which considers quantity abstractly, without relation to matter; and mixed, which treats of magnitude as subsisting in material bodies, and is consequently interwoven with physical considerations. It is the peculiar excellence of mathematics, that its principles are demonstrable. Arithmetic, geometry, algebra, trigonometry, and conic sections, are branches of mathematics.

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