Difference between revisions of "Homothety"
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| − | In [[mathematics]], a '''homothety''' (or '''homothecy''') is a transformation of space which dilates distances with respect to a fixed point. Such a transformation is also called an '''enlargement'''. | + | In [[mathematics]], a '''homothety''' (or '''homothecy''') is a transformation of space which dilates distances with respect to a fixed point. Such a transformation is also called an '''enlargement'''. A homothety with center <math>H</math> and factor <math>k</math> sends point <math>A</math> to a point <math>A' \ni HA'=k\cdot HA</math> This is denoted by <math>\mathcal{H}(H, k)</math>. |
== See Also == | == See Also == | ||
Revision as of 16:18, 22 July 2017
In mathematics, a homothety (or homothecy) is a transformation of space which dilates distances with respect to a fixed point. Such a transformation is also called an enlargement. A homothety with center 
and factor 
sends point 
to a point 
This is denoted by 
.
See Also
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