**The"o*rem** (?), n. [L. *theorema*, Gr. a sight, speculation, theory, theorem, fr. to look at, a spectator: cf. F. *th'eoreme*. See Theory.]

**1.**

That which is considered and established as a principle; hence, sometimes, a rule.

Not theories, but **theorems** (), the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively.
*Coleridge.*

By the **theorems**,
Which your polite and terser gallants practice,
I re-refine the court, and civilize
Their barbarous natures.
*Massinger.*

**2.** Math.

A statement of a principle to be demonstrated.

⇒ A *theorem* is something to be proved, and is thus distinguished from a *problem*, which is something to be solved. In analysis, the term is sometimes applied to a rule, especially a rule or statement of relations expressed in a formula or by symbols; as, the binomial *theorem*; Taylor's *theorem*. See the Note under Proposition, n., 5.

Binomial theorem. Math. See under Binomial. -- Negative theorem, a theorem which expresses the impossibility of any assertion. -- Particular theorem Math., a theorem which extends only to a particular quantity. -- Theorem of Pappus. Math. See Centrobaric method, under Centrobaric. -- Universal theorem Math., a theorem which extends to any quantity without restriction.

© Webster 1913.

**The"o*rem**, v. t.

To formulate into a theorem.

© Webster 1913.