homothecy

plural homothecies

1. geometryA homothetic transformation.

   The restriction of B to S_b is a homothecy of scale b.

   1981, Kenneth Joseph Arrow, Michael D. Intriligator, Handbook of Mathematical Economics, North-Holland, page 1720

   2 more examples

   Let us determine the center and the ratio of this homothecy.

   1950, Duke Mathematical Journal, Duke University Press, page 76

   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.

   2013, Felipe Cucker, Manifold Mirrors: The Crossing Paths of the Arts and Mathematics, Cambridge University Press, page 161

   Synonyms: homogeneous dilation, homothety