Corollary: meaning, definitions and examples

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corollary

 

[ kษ™หˆrษ’l.ษ™.ri ]

Noun
Context #1 | Noun

mathematics, logic

A corollary is a statement that follows readily from a previous statement or proposition that has been proven. It is often considered an easy or obvious consequence that requires little additional proof because it is logically derived from established results. Corollaries provide insight and additional information about the original statement, and they are frequently used in mathematical and logical contexts. For example, if a theorem is proved, a corollary can be easily inferred from that theorem without extensive additional research.

Synonyms

consequence, implication, outcome, result.

Examples of usage

  • The triangle inequality is a corollary of the properties of absolute values.
  • From the theorem, we can derive a corollary that simplifies our calculations.
  • The corollary states that with the assumptions made, the following must also be true.

Translations

Translations of the word "corollary" in other languages:

๐Ÿ‡ต๐Ÿ‡น corolรกrio

๐Ÿ‡ฎ๐Ÿ‡ณ เค‰เคชเคธเค‚เคนเคพเคฐ

๐Ÿ‡ฉ๐Ÿ‡ช Korollar

๐Ÿ‡ฎ๐Ÿ‡ฉ korolari

๐Ÿ‡บ๐Ÿ‡ฆ ะบะพั€ะพะปัั€

๐Ÿ‡ต๐Ÿ‡ฑ korolarny

๐Ÿ‡ฏ๐Ÿ‡ต ่ฃœ้กŒ

๐Ÿ‡ซ๐Ÿ‡ท corollaire

๐Ÿ‡ช๐Ÿ‡ธ corolario

๐Ÿ‡น๐Ÿ‡ท korolarya

๐Ÿ‡ฐ๐Ÿ‡ท ๋ถ€๊ฐ€๋ช…์ œ

๐Ÿ‡ธ๐Ÿ‡ฆ ู†ุชูŠุฌุฉ

๐Ÿ‡จ๐Ÿ‡ฟ korolรกล™

๐Ÿ‡ธ๐Ÿ‡ฐ korolรกr

๐Ÿ‡จ๐Ÿ‡ณ ๆŽจ่ฎบ

๐Ÿ‡ธ๐Ÿ‡ฎ korolar

๐Ÿ‡ฎ๐Ÿ‡ธ afleiรฐing

๐Ÿ‡ฐ๐Ÿ‡ฟ า›ะพั€ั‹ั‚ั‹ะฝะดั‹

๐Ÿ‡ฌ๐Ÿ‡ช แƒ™แƒแƒ แƒแƒšแƒแƒ แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ korolyar

๐Ÿ‡ฒ๐Ÿ‡ฝ corolario

Etymology

The word 'corollary' originates from the Latin term 'corollarium', which means 'a garland' or 'a crown', derived from 'corolla', meaning 'little crown'. The etymology reflects the idea that a corollary is an addition to something already established, much like a garland that adorns a statue or a king's crown that signifies power. The term was adopted into English in the early 17th century, entering the vocabulary of mathematics and logic as a technical term for an inference drawn from an already proven theorem. Over time, it has retained its academic roots while also being used in broader contexts to refer to any result or consequence that follows logically from a preceding statement or event.

Word Frequency Rank

At position #12,991, this word is part of sophisticated English vocabulary. It's useful for academic or professional contexts where precise language is needed.