Talk:Centroid
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From WordNet (r) 2.0 (August 2003) [wn]:
centroid
n : the center of mass of an object of uniform density
WordNet says, the center of mass is called centroid when the object has uniform density distribution. Is it ture?
- Not exactly. When the object has an uniform density distribution, the centre of mass coincides with the object's geometric centre. Yet, the names of the concepts remain the same, which means that a centroid is still a centroid and a centre of mass is still a centre of mass --Maciel 11:35, 25 Sep 2004 (UTC)
- In geometry, the centroid or barycenter of an object <math>X<math> in <math>n<math>-dimensional space is the intersection of all hyperplanes that divide <math>X<math> into two halves of equal measure.
This is wrong. The line parallel to one side of a triangle that divides it in half is sqrt(1/2) from the opposite corner, not 2/3, which is where the centroid is. -phma 21:06, 26 Jul 2004 (UTC)
- Oops! Thanks... Jorge Stolfi 23:26, 15 Sep 2004 (UTC)