**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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