Word.ws English Dictionary

homotheties

homotheties is the plural of homothety.

Meaning of homothety

Noun

homothety (plural homotheties)

  1. 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.1927, Henry George Forder, The Foundations of Euclidean Geometry, page 178
    Synonyms:
    homothecy, homogeneous dilation, homothetic transformation
  2. (commutative algebra) A homomorphism from a module M over a ring A to itself of the form ν:x↦ax for some fixed a∈A (especially when M=A; a is said to be the ratio of the homothety, by analogy with the geometric case).

Questions about homotheties

What is homotheties the plural of?
Homotheties is the plural of homothety.

Words near homotheties in the dictionary

  1. homothetic
  2. homothetical
  3. homothetically
  4. homotheticities
  5. homotheticity
  6. homotheties
  7. homothets
  8. homothety
  9. homothorax
  10. homothymine
  11. homotolerance

Source and license

Adapted from Wiktionary: homotheties (page history and authors); homothety (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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