different between homothets vs homothety
homothets
English
Noun
homothets
- plural of homothet
Anagrams
- smootheth
homothets From the web:
homothety
English
Etymology
From Ancient Greek ???- (homo-, “same”) + ????? (thésis, “setting, placement, arrangement”).
Noun
homothety (plural homotheties)
- (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 hP,? the homothety with center P and similitude ratio ?.
- 1972, Clayton W. Dodge, Euclidean Geometry and Transformations, 2004, page 106,
Synonyms
- (isotropic scaling transformation with a fixed point): homothecy, homogeneous dilation, homothetic transformation
Related terms
- homothetic
Translations
homothety From the web:
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