corollary

Meanings

• noun

  A proposition that is a logical consequence of another proposition, especially a mathematical theorem that is a consequence of a previous theorem.

  - "The corollary to Theorem 1 states that..."
  - "In mathematics, a theorem and its corresponding corollary are proved together."

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Variants

List of all variants of corollary that leads to same result
corollaries , corollary

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Etymology

origin and the way in which meanings have changed throughout history.

From Latin corollarium, meaning 'garland, crown' (of theses), from corona, 'crown'. In mathematics, a corollary is a proposition that follows logically from a theorem, like a crown following a theorem as its logical consequence.

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Trivia

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1. The term 'corollary' was first used in mathematics by the German mathematician Carl Friedrich Gauss.

2. A corollary does not require a separate proof; it is proven using the same proof as the theorem from which it follows.

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Related Concepts

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1. Theorem: A mathematical statement that has been logically proven to be true. A corollary is a logical consequence of a theorem.

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Culture

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In mathematics and logic, a corollary is a proposition that follows logically from another proposition, often a theorem. It is a way of organizing and structuring knowledge, allowing new results to be derived from established ones.

How to Memorize "corollary"

1. visualize
   

   - Imagine a theorem as a tree with its branches representing corollaries. Visualize the theorem as the trunk, and each corollary as a branch that grows logically from the theorem.

2. associate
   

   - Associate the word 'corollary' with the word 'consequence'. This will help you remember that a corollary is a logical consequence of a theorem.

3. mnemonics
   

   - Use the mnemonic 'Corollaries crown theorems' to remember that corollaries are the logical consequences of theorems.

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