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geometric

 

  2  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Geometric  \Ge`o*met"ric\,  Geometrical  \Ge`o*met"ric*al\,  a.  [L. 
  geometricus  Gr  ?:  cf  F.  g['e]om['e]trique.] 
  Pertaining  to  or  according  to  the  rules  or  principles  of 
  geometry;  determined  by  geometry;  as  a  geometrical  solution 
  of  a  problem. 
 
  Note:  Geometric  is  often  used  as  opposed  to  algebraic,  to 
  include  processes  or  solutions  in  which  the 
  propositions  or  principles  of  geometry  are  made  use  of 
  rather  than  those  of  algebra. 
 
  Note:  Geometrical  is  often  used  in  a  limited  or  strictly 
  technical  sense  as  opposed  to  mechanical;  thus  a 
  construction  or  solution  is  geometrical  which  can  be 
  made  by  ruler  and  compasses,  i.  e.,  by  means  of  right 
  lines  and  circles.  Every  construction  or  solution  which 
  requires  any  other  curve,  or  such  motion  of  a  line  or 
  circle  as  would  generate  any  other  curve,  is  not 
  geometrical,  but  mechanical.  By  another  distinction,  a 
  geometrical  solution  is  one  obtained  by  the  rules  of 
  geometry,  or  processes  of  analysis,  and  hence  is  exact; 
  while  a  mechanical  solution  is  one  obtained  by  trial, 
  by  actual  measurements,  with  instruments,  etc.,  and  is 
  only  approximate  and  empirical. 
 
  {Geometrical  curve}.  Same  as  {Algebraic  curve};  --  so  called 
  because  their  different  points  may  be  constructed  by  the 
  operations  of  elementary  geometry. 
 
  {Geometric  lathe},  an  instrument  for  engraving  bank  notes, 
  etc.,  with  complicated  patterns  of  interlacing  lines;  -- 
  called  also  {cycloidal  engine}. 
 
  {Geometrical  pace},  a  measure  of  five  feet. 
 
  {Geometric  pen},  an  instrument  for  drawing  geometric  curves, 
  in  which  the  movements  of  a  pen  or  pencil  attached  to  a 
  revolving  arm  of  adjustable  length  may  be  indefinitely 
  varied  by  changing  the  toothed  wheels  which  give  motion  to 
  the  arm. 
 
  {Geometrical  plane}  (Persp.),  the  same  as  {Ground  plane}  . 
 
  {Geometrical  progression},  {proportion},  {ratio}.  See  under 
  {Progression},  {Proportion}  and  {Ratio}. 
 
  {Geometrical  radius},  in  gearing,  the  radius  of  the  pitch 
  circle  of  a  cogwheel.  --Knight. 
 
  {Geometric  spider}  (Zo["o]l.),  one  of  many  species  of 
  spiders,  which  spin  a  geometrical  web.  They  mostly  belong 
  to  {Epeira}  and  allied  genera,  as  the  garden  spider.  See 
  {Garden  spider}. 
 
  {Geometric  square},  a  portable  instrument  in  the  form  of  a 
  square  frame  for  ascertaining  distances  and  heights  by 
  measuring  angles. 
 
  {Geometrical  staircase},  one  in  which  the  stairs  are 
  supported  by  the  wall  at  one  end  only. 
 
  {Geometrical  tracery},  in  architecture  and  decoration, 
  tracery  arranged  in  geometrical  figures. 
 
  From  WordNet  r  1.6  [wn]: 
 
  geometric 
  adj  1:  (fine  arts)  characterized  by  simple  geometric  forms  in 
  design  and  decoration;  "a  buffalo  hide  painted  with 
  red  and  black  geometric  designs"  [syn:  {geometrical}] 
  2:  of  or  relating  to  or  determined  by  geometry  [syn:  {geometrical}]




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