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epicycloid

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epicycloid


  2  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Epicycloid  \Ep`i*cy"cloid\,  n.  [Epicycle  +  -oid:  cf  F. 
  ['e]picyclo["i]de.]  (Geom.) 
  A  curve  traced  by  a  point  in  the  circumference  of  a  circle 
  which  rolls  on  the  convex  side  of  a  fixed  circle. 
 
  Note:  Any  point  rigidly  connected  with  the  rolling  circle, 
  but  not  in  its  circumference,  traces  a  curve  called  an 
  epitrochoid.  The  curve  traced  by  a  point  in  the 
  circumference  of  the  rolling  circle  when  it  rolls  on 
  the  concave  side  of  a  fixed  circle  is  called  a 
  hypocycloid;  the  curve  traced  by  a  point  rigidly 
  connected  with  the  rolling  circle  in  this  case,  but  not 
  its  circumference,  is  called  a  hypotrochoid.  All  the 
  curves  mentioned  above  belong  to  the  class  class  called 
  roulettes  or  trochoids.  See  {Trochoid}. 
 
  From  WordNet  r  1.6  [wn]: 
 
  epicycloid 
  n  :  a  line  generated  by  a  point  on  a  circle  rolling  around 
  another  circle 




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