different between ratio vs homothetic

English

Etymology

Borrowed from Latin ratio. Doublet of ration and reason.

Pronunciation

• (General American) IPA^(key): /??e?.?o?/, /??e?.?i?o?/
• (Received Pronunciation) IPA^(key): /??e?.?i.??/, /??e?.???/

Noun

ratio (plural ratios)

1. A number representing a comparison between two named things.
2. (arithmetic) The relative magnitudes of two quantities (usually expressed as a quotient).
3. (law) Short for ratio decidendi.
4. (Internet) The amount of comments to a post or other expression on social media relative to the number of likes.

Derived terms

Related terms

• obiter
• obiter dictum
• ratio decidendi
• rational
• irrational

Translations

Verb

ratio (third-person singular simple present ratios, present participle ratioing, simple past and past participle ratioed)

1. (transitive, social media) To respond to a post or message on social media in a greater number than the number of likes the post receives.

Anagrams

• Artio, Otira, ariot, artoi, atrio-, iatro-

Dutch

Etymology

Borrowed from Latin rati?.

Pronunciation

• IPA^(key): /?ra?.(t)si.o?/
• Hyphenation: ra?tio

Noun

ratio f (plural ratio's)

1. (mathematics, countable) ratio, proportion

   Synonym: verhouding

2. (uncountable) reason

   Synonyms: rede, verstand

Related terms

• rationalisme
• rationeel

French

Etymology

Borrowed from Latin ratio. Doublet of raison and ration.

Noun

ratio m (plural ratios)

1. (mathematics) ratio

Further reading

• “ratio” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

Italian

Etymology

Borrowed from Latin rati? (“reason, explanation”).

Pronunciation

• IPA^(key): /?rat.t?sjo/
• Rhymes: -attsjo
• Hyphenation: rà?tio

Noun

ratio f (uncountable)

1. reason, motive

   Synonyms: motivazione, motivo, ragione

2. expedient

   Synonym: espediente

Related terms

• ragione
• razione

Latin

Etymology

From ratus / reor (“to compute”) +? -ti?.

Pronunciation

• (Classical) IPA^(key): /?ra.ti.o?/, [?rät?io?]
• (Ecclesiastical) IPA^(key): /?ra.t?si.o/, [?r??t??s?i?]

Noun

rati? f (genitive rati?nis); third declension

1. reason, reasoning, explanation, ground, motive, rationality, rationale
2. calculation, account, accounting, reckoning, computation, business
3. procedure, course, manner, method, mode, conduct, plan
4. theory, view
5. doctrine, system, philosophy (collective body of the teachings of a school of thought)
6. register (list)
7. regard, respect, interest, consideration
8. reference, relation, respect

Declension

Third-declension noun.

Derived terms

• rati?n?bilis
• rati?n?lis
• rati?n?rium
• rati?cinor
• ratiuncula

Related terms

• rati?cinium

Descendants

See also

• pr?porti?

References

• ratio in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
• ratio in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
• ratio in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition, 1883–1887)
• ratio in Gaffiot, Félix (1934) Dictionnaire illustré Latin-Français, Hachette
• Carl Meissner; Henry William Auden (1894) Latin Phrase-Book?^[1], London: Macmillan and Co.

Spanish

Etymology

Borrowed from Latin ratio. Doublet of razón and ración.

Noun

ratio f (plural ratios)

1. (mathematics) ratio

English

Adjective

homothetic (not comparable)

1. (mathematics, geometry) for a geometric figure that is the image of another figure under an homothety.
2. (mathematics) 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
3. (economics) in which the ratio of goods demanded depends only on the ratio of their prices
4. the relationship of a microcosm to a macrocosm

Usage notes

According to the extension of Wu wei theory, ordering the Chinese Emperor's palace is governing the country well: the palace is an homothetic reproduction of the country.

Related terms

• homotheticity

Translations