Geometry

3 definitions found

From The Collaborative International Dictionary of English v.0.48 [gcide]:

  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 [gcide]:

  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 WordNet (r) 2.0 [wn]:

  geometry
       n : the pure mathematics of points and lines and curves and
           surfaces