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geometries

## geometries

```  1  definition  found

From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]:

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.
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