bn:03105109n
Noun Concept
EN
Homothetic transformation  Dilation  Homoethetic  homogeneous dilation  homothecy
EN
In mathematics, a homothety is a transformation of an affine space determined by a point S called its center and a nonzero number λ called its ratio, which sends M ↦ S + λ S M →, {\displaystyle M\mapsto S+\lambda {\overrightarrow {SM}},} in other words it fixes S, and sends each M to another point N such that the segment SN is on the same line as SM, but scaled by a factor λ. Wikipedia
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EN
In mathematics, a homothety is a transformation of an affine space determined by a point S called its center and a nonzero number λ called its ratio, which sends M ↦ S + λ S M →, {\displaystyle M\mapsto S+\lambda {\overrightarrow {SM}},} in other words it fixes S, and sends each M to another point N such that the segment SN is on the same line as SM, but scaled by a factor λ. Wikipedia
a special geometric transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions according to a centric point Wikidata