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Pronunciation varies by accent · noun
(mathematics, geometry) An isotropic scaling transformation of an affine space with a single fixed point..
The product of two homotheties with the same centre is a homothety with that centre.
One cannot obtain all similarity mappings from products of homotheties alone, but they are necessary and basic to similarities.
Since homotheties are determined by the fixed point, called the center of the homothety, and by the similitude ratio λ, we shall denote by h_(P,λ) the homothety with center P and similitude ratio λ.
Use homothety when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Homothety means (mathematics, geometry) An isotropic scaling transformation of an affine space with a single fixed point..
Common synonyms include homothecy, homogeneous dilation, homothetic transformation.
The opposite depends on the specific sense.
The product of two homotheties with the same centre is a homothety with that centre.
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