homothecy
Hello, you have come here looking for the meaning of the word homothecy. In DICTIOUS you will not only get to know all the dictionary meanings for the word homothecy, but we will also tell you about its etymology, its characteristics and you will know how to say homothecy in singular and plural. Everything you need to know about the word homothecy you have here. The definition of the word homothecy will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofhomothecy, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
English
Pronunciation
Noun
homothecy (plural homothecies)
- (geometry) A homothetic transformation.
- 1950, Duke Mathematical Journal, Duke University Press, page 76:
- Let us determine the center and the ratio of this homothecy.
- 1981, Kenneth Joseph Arrow, Michael D. Intriligator, Handbook of Mathematical Economics, North-Holland, page 1720:
- The restriction of B to Sb is a homothecy of scale b.
- 2013, Felipe Cucker, Manifold Mirrors: The Crossing Paths of the Arts and Mathematics, Cambridge University Press, page 161:
- Proposition 7.4 Homothecies preserve circles. That is, for any homothecy h and any circle C, h(C) is a circle as well. […] Were we willing to do the same with homothecies, we would meet an obstruction: the composition of two homothecies is not necessarily a homothecy.
Synonyms
- (type of transformation): homogeneous dilation, homothety
Translations
homothety — see homothety