Homothety
id:
homothety-198-9610787
title:
Homothety
text:
In mathematics, a homothety is a transformation of an affine space determined by a point S called its center and a nonzero number k called its ratio, which sends point X to a point X ′ by the rule Using position vectors: In case of S = O (Origin): which is a uniform scaling and shows the meaning of special choices for k : For 1 / k one gets the inverse mapping defined by k . In Euclidean geometry homotheties are the similarities that fix a point and either preserve or reverse the direction of al
brand slug:
wiki
category slug:
encyclopedia
description:
Generalized scaling operation in geometry
original url:
https://en.wikipedia.org/wiki/Homothety
date created:
date modified:
2024-01-06T22:43:37Z
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image:
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fields total:
13
integrity:
15