Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. of a function of two or more variables in which the ratio of the partial derivatives depends only on the ratio of the variables, not their value
  • adj. in which the ratio of goods demanded depends only on the ratio of their prices
  • adj. the relationship of a microcosm to a macrocosm

from The Century Dictionary and Cyclopedia

  • In geometry, similar and similarly placed; in homology with reference to the line at infinity as axis of homology.
  • n. A transformation which changes every plane figure into a homothetic figure.

Etymologies

Sorry, no etymologies found.

Examples

  • What homothetic objects, other than the candlestick, stood on the mantelpiece?

    Ulysses

  • Yet this crucial element of Linder's story was abandon by most later trade economists in favor of the analytically-tractable but counter-empirical assumption that all countries share identical and homothetic preferences … Adding non-homothetic preferences to a traditional models helps explain such diverse phenomenon as growing wage gaps, the mystery of the missing trade, home bias in consumption, and the role of intra-country income distribution, solely from the demand side of general equilibrium.

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Comments

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  • ""You're right," the girl conceded. "You should just know that the right triangle ABC plays an important role in all of this and that Leibniz realized that if we reduce the horizontal base of this triangle, correspondingly we reduce the second cathetus so that the triangle will always remain homothetic; the relation of the two catheti maintains a constant value which is a characteristic of the curve of the line at point I."
    - The Golden Age by Michal Ajvaz, translated by Andrew Oakland, pp 112-113 of the Dalkey Archive paperback

    June 12, 2011