different between scaling vs homothety

English

Pronunciation

• IPA^(key): /?ske?l??/

Verb

scaling

1. present participle of scale

Noun

scaling (countable and uncountable, plural scalings)

1. The removing of the scales of fish.
2. The formation of a layer of scale on a surface.
3. The removal of a layer of scale from a surface.
4. The measurement of dimensions using a scale.
5. The process of adjusting raw measurement data to fit an expected distribution, such fitting examination results to a normal distribution.
6. (mathematics, physics) The expression of the terms of an equation using powers of nondimensional quantities.
7. The process of adjusting sights to a ship's guns.

Anagrams

• lacings

English

Etymology

From Ancient Greek ???- (homo-, “same”) + ????? (thésis, “setting, placement, arrangement”).

Noun

homothety (plural homotheties)

1. (mathematics, geometry) An isotropic scaling transformation of an affine space with a single fixed point.
   • 1972, Clayton W. Dodge, Euclidean Geometry and Transformations, 2004, page 106,

     One cannot obtain all similarity mappings from products of homotheties alone, but they are necessary and basic to similarities.

   • 2011, Agustí Reventós Tarrida, Affine Maps, Euclidean Motions and Quadrics, Springer Undergraduate Mathematics Series, page 69,

     Since homotheties are determined by the fixed point, called the center of the homothety, and by the similitude ratio ?, we shall denote by h_P,? the homothety with center P and similitude ratio ?.

Synonyms

• (isotropic scaling transformation with a fixed point): homothecy, homogeneous dilation, homothetic transformation

Related terms

• homothetic

Translations