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hyperbola

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hyperbola


  2  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Hyperbola  \Hy*per"bo*la\,  n.  [Gr.  ?,  prop.,  an  overshooting, 
  excess,  i.  e.,  of  the  angle  which  the  cutting  plane  makes 
  with  the  base.  See  {Hyperbole}.]  (Geom.) 
  A  curve  formed  by  a  section  of  a  cone,  when  the  cutting  plane 
  makes  a  greater  angle  with  the  base  than  the  side  of  the  cone 
  makes  It  is  a  plane  curve  such  that  the  difference  of  the 
  distances  from  any  point  of  it  to  two  fixed  points,  called 
  foci,  is  equal  to  a  given  distance.  See  {Focus}.  If  the 
  cutting  plane  be  produced  so  as  to  cut  the  opposite  cone, 
  another  curve  will  be  formed,  which  is  also  an  hyperbola. 
  Both  curves  are  regarded  as  branches  of  the  same  hyperbola. 
  See  Illust.  of  Conic  section,  and  {Focus}. 
 
  From  WordNet  r  1.6  [wn]: 
 
  hyperbola 
  n  :  an  open  curve  formed  by  a  plane  that  cuts  the  base  of  a 
  right  circular  cone 




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