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OverviewHigh Quality Content by WIKIPEDIA articles! 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. In Euclidean geometry, when not a congruence, there is a unique number c by which distances in the dilatation are multiplied. It is called the ratio of magnification or dilation factor or scale factor or similitude ratio. Such a transformation can be called an enlargement. More generally c can be negative; in that case it not only multiplies all distances by | c | , but also inverts all points with respect to the fixed point. Full Product DetailsAuthor: Lambert M. Surhone , Mariam T. Tennoe , Susan F. HenssonowPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.60cm , Length: 15.20cm Weight: 0.165kg ISBN: 9786131167645ISBN 10: 6131167648 Pages: 104 Publication Date: 24 November 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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