Problem word meaning and definition

[noun] a source of difficulty; "one trouble after another delayed the job"; "what's the problem?"
[noun] a question raised for consideration or solution; "our homework consisted of ten problems to solve"
[noun] a state of difficulty that needs to be resolved; "she and her husband are having problems"; "it is always a job to contact him"; "urban problems such as traffic congestion and smog"

\Prob"lem\, n. [F. probl[`e]me, L. problema, fr. Gr. ? anything thrown forward, a question proposed for solution, fr. ? to throw or lay before; ? before, forward + ? to throw. Cf. {Parable}. ] 1. A question proposed for solution; a matter stated for examination or proof; hence, a matter difficult of solution or settlement; a doubtful case; a question involving doubt. --Bacon. 2. (Math.) Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity. Note: Problem differs from theorem in this, that a problem is something to be done, as to bisect a triangle, to describe a circle, etc.; a theorem is something to be proved, as that all the angles of a triangle are equal to two right angles. {Plane problem} (Geom.), a problem that can be solved by the use of the rule and compass. {Solid problem} (Geom.), a problem requiring in its geometric solution the use of a conic section or higher curve.

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