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# analytical geometry

From The Collaborative International Dictionary of English v.0.48:

```Geometry \Ge*om"e*try\, n.; pl. Geometries[F. g['e]om['e]trie,
L. geometria, fr. Gr. ?, fr. ? to measure land; ge`a, gh^,
the earth + ? to measure. So called because one of its
earliest and most important applications was to the
measurement of the earth's surface. See Geometer.]
1. That branch of mathematics which investigates the
relations, properties, and measurement of solids,
surfaces, lines, and angles; the science which treats of
the properties and relations of magnitudes; the science of
the relations of space.
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2. A treatise on this science.
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Analytical geometry, or Co["o]rdinate geometry, that
branch of mathematical analysis which has for its object
the analytical investigation of the relations and
properties of geometrical magnitudes.

Descriptive geometry, that part of geometry which treats of
the graphic solution of all problems involving three
dimensions.

Elementary geometry, that part of geometry which treats of
the simple properties of straight lines, circles, plane
surface, solids bounded by plane surfaces, the sphere, the
cylinder, and the right cone.

Higher geometry, that pert of geometry which treats of
those properties of straight lines, circles, etc., which
are less simple in their relations, and of curves and
surfaces of the second and higher degrees.
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From The Collaborative International Dictionary of English v.0.48:

```Mathematics \Math`e*mat"ics\, n. [F. math['e]matiques, pl., L.
mathematica, sing., Gr. ? (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.
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Note: 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.
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From The Collaborative International Dictionary of English v.0.48:

```analytical \analytical\ adj.
1. of or pertaining to analysis (definition 2).
[WordNet 1.5]

2. (Logic) of a proposition; necessarily true independent of
fact or experience, such as "all spinsters are unmarried".
Opposite of synthetic. Also See: a priori,
deductive, {logical.
[WordNet 1.5]

3. 1 exercising or involving careful analytical evaluations;
as, analytic reasoning; an analytical discussion.

Syn: appraising(prenominal), evaluative.
[WordNet 1.5]

4. capable of or given to analyzing; -- of people. an
analytical mind
[WordNet 1.5]

Analytical geometry or co["o]rdinate geometry. See under
Geometry.

Analytic language, a noninflectional language or one not
characterized by grammatical endings.

Analytical table (Nat. Hist.), a table in which the
characteristics of the species or other groups are
arranged so as to facilitate the determination of their
names.
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