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ellipsoid

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ellipsoid


  4  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Ellipsoid  \El*lip"soid\,  n.  [Ellipse  +  -oid:  cf  F.  ellipsoide.] 
  (Geom.) 
  A  solid,  all  plane  sections  of  which  are  ellipses  or  circles. 
  See  {Conoid},  n.,  2 
  a  . 
 
  Note:  The  ellipsoid  has  three  principal  plane  sections,  a,  b, 
  and  c,  each  at  right  angles  to  the  other  two  and  each 
  dividing  the  solid  into  two  equal  and  symmetrical 
  parts  The  lines  of  meeting  of  these  principal  sections 
  are  the  axes,  or  principal  diameters  of  the  ellipsoid. 
  The  point  where  the  three  planes  meet  is  the  center. 
 
  {Ellipsoid  of  revolution},  a  spheroid;  a  solid  figure 
  generated  by  the  revolution  of  an  ellipse  about  one  of  its 
  axes.  It  is  called  a  prolate  spheroid,  or  prolatum,  when 
  the  ellipse  is  revolved  about  the  major  axis,  and  an 
  oblate  spheroid,  or  oblatum,  when  it  is  revolved  about  the 
  minor  axis. 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Ellipsoid  \El*lip"soid\,  Ellipsoidal  \El`lip*soi"dal\,  a. 
  Pertaining  to  or  shaped  like  an  ellipsoid;  as  ellipsoid  or 
  ellipsoidal  form 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Conoid  \Co"noid\,  n.  [Gr.  ?  conical;  ?  cone  +  ?  from:  cf  F. 
  cono["i]de.] 
  1.  Anything  that  has  a  form  resembling  that  of  a  cone. 
 
  2.  (Geom.) 
  a  A  solid  formed  by  the  revolution  of  a  conic  section 
  about  its  axis;  as  a  parabolic  conoid,  elliptic 
  conoid,  etc.;  --  more  commonly  called  {paraboloid}, 
  {ellipsoid},  etc 
  b  A  surface  which  may  be  generated  by  a  straight  line 
  moving  in  such  a  manner  as  always  to  meet  a  given 
  straight  line  and  a  given  curve,  and  continue  parallel 
  to  a  given  plane.  --Math.  Dict. 
 
  From  WordNet  r  1.6  [wn]: 
 
  ellipsoid 
  adj  :  in  the  form  of  an  ellipse  [syn:  {ellipsoidal},  {spheroidal}, 
  {non-circular}] 
  n  :  a  surface  whose  plane  sections  are  all  ellipses  or  circles; 
  "the  Earth  is  an  ellipsoid" 




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