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'''. 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>.
 
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>.
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**Note: Refer to this website, as denoted by the link provided here:
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https://brilliant.org/wiki/euclidean-geometry-homothety/
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- It provides a comprehensive overview of the subsets corresponding to this topic, as well as a few example problems and related proofs.
 
== See Also ==
 
== See Also ==
 
* [[Dilation]]
 
* [[Dilation]]

Revision as of 08:25, 11 January 2020

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 $H$ and factor $k$ sends point $A$ to a point $A' \ni HA'=k\cdot HA$ This is denoted by $\mathcal{H}(H, k)$.

    • Note: Refer to this website, as denoted by the link provided here:

https://brilliant.org/wiki/euclidean-geometry-homothety/ - It provides a comprehensive overview of the subsets corresponding to this topic, as well as a few example problems and related proofs.

See Also

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