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]

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]

WordNet (r) 3.0 (2006):

coordinate 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]