different between homothecy vs homothet

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 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

homothecy From the web:

  • what does homothety mean


homothet

English

Noun

homothet (plural homothets)

  1. homothecy

homothet From the web:

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