Definitions
from The Century Dictionary.
- noun A transformation which changes every plane figure into a homothetic figure.
- In geometry, similar and similarly placed; in homology with reference to the line at infinity as axis of homology.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective mathematics of a
function of two or morevariables in which theratio of thepartial derivatives depends only on the ratio of the variables, not theirvalue - adjective economics in which the ratio of
goods demanded depends only on the ratio of theirprices - adjective the relationship of a microcosm to a macrocosm
Etymologies
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Examples
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What homothetic objects, other than the candlestick, stood on the mantelpiece?
Ulysses 2003
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What homothetic objects, other than the candlestick, stood on the mantelpiece?
Ulysses James Joyce 1911
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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.
Our Word is Our Weapon Jim 2010
knitandpurl commented on the word homothetic
""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