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4 definitions found
 for 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.
        [1913 Webster]
  
     2. A treatise on this science.
        [1913 Webster]
  
     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.
        [1913 Webster]

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.
     [1913 Webster]
  
     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.
           [1913 Webster]

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.
        [1913 Webster]

From WordNet (r) 3.0 (2006) :

  analytical geometry
      n 1: the use of algebra to study geometric properties; operates
           on symbols defined in a coordinate system [syn: analytic
           geometry, analytical geometry, coordinate geometry]

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