homothecy en · NOUN
Pronunciation
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Meanings
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A homothetic transformation.
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: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:
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| homothecies | Number=Plur | lexicographic |
Synonyms
homothety (type of transformation) · homogeneous dilation (type of transformation)