 Definition:  
\The"o*rem\, n. [L. theorema, Gr. ? a sight,
speculation, theory, theorem, fr. ? to look at, ? a
spectator: cf. F. th['e]or[`e]me. 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 rerefine the court, and
civilize Their barbarous natures. Massinger.
2. (Math.) A statement of a principle to be demonstrated.
Note: 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.
\The"o*rem\, v. t.
To formulate into a theorem.
