catflap.org Online Dictionary Query

  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]

  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.
  
     2. A treatise on this science.
  
     Analytical, 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.

  elementary geometry
       n : geometry based on Euclid's axioms: e.g., only one line can
           be drawn through a point parallel to another line [syn: parabolic
           geometry, Euclidean geometry]