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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.