# 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>. | ||

+ | **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 == | == 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 and factor sends point to a point This is denoted by .

- 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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