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symmetricalnessmore about symmetricalness

symmetricalness

 

  2  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Symmetrical  \Sym*met"ric*al\,  a.  [Cf.  F.  sym['e]trique.  See 
  {Symmetry}.] 
  1.  Involving  or  exhibiting  symmetry;  proportional  in  parts 
  having  its  parts  in  due  proportion  as  to  dimensions;  as  a 
  symmetrical  body  or  building. 
 
  2.  (Biol.)  Having  the  organs  or  parts  of  one  side 
  corresponding  with  those  of  the  other  having  the  parts  in 
  two  or  more  series  of  organs  the  same  in  number; 
  exhibiting  a  symmetry.  See  {Symmetry},  2. 
 
  3.  (Bot.) 
  a  Having  an  equal  number  of  parts  in  the  successive 
  circles  of  floral  organs;  --  said  of  flowers. 
  b  Having  a  likeness  in  the  form  and  size  of  floral 
  organs  of  the  same  kind  regular. 
 
  4.  (Math.)  Having  a  common  measure;  commensurable. 
  b  Having  corresponding  parts  or  relations. 
 
  Note:  A  curve  or  a  plane  figure  is  symmetrical  with  respect 
  to  a  given  line  and  a  line  surface,  or  solid  with 
  respect  to  a  plane,  when  for  each  point  on  one  side  of 
  the  line  or  plane  there  is  a  corresponding  point  on  the 
  other  side  so  situated  that  the  line  joining  the  two 
  corresponding  points  is  perpendicular  to  the  line  or 
  plane  and  is  bisected  by  it  Two  solids  are  symmetrical 
  when  they  are  so  situated  with  respect  to  an 
  intervening  plane  that  the  several  points  of  their 
  surfaces  thus  correspond  to  each  other  in  position  and 
  distance.  In  analysis,  an  expression  is  symmetrical 
  with  respect  to  several  letters  when  any  two  of  them 
  may  change  places  without  affecting  the  expression;  as 
  the  expression  a^{2}b  +  ab^{2}  +  a^{2}c  +  ac^{2}  + 
  b^{2}c  +  bc^{2},  is  symmetrical  with  respect  to  the 
  letters  a,  b,  c.  --  {Sym*met"ric*al*ly},  adv  -- 
  {Sym*met"ric*al*ness},  n. 
 
  From  WordNet  r  1.6  [wn]: 
 
  symmetricalness 
  n  :  (mathematics)  an  attribute  of  a  shape;  exact  correspondence 
  of  form  on  opposite  sides  of  a  dividing  line  or  plane 
  [syn:  {symmetry},  {correspondence},  {balance}]  [ant:  {asymmetry}]




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