homothecy

homothecy

English

Noun

homothecy (plural homothecies)

1. (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 S_b 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