Thursday, December 16, 2010
homothety
In mathematics, a homothety (or homothecy or non-rotating dilation) is a transformation of space which takes each line into a parallel line (in essence, a similarity that allows reflection in a single point, but otherwise preserves orientation). All homotheties form a group in either affine or Euclidean geometry. Congruent examples of homotheties are translations, reflections, and the identity transformation.
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