WordWeight : Weighing the Words

Pronunciation : Prob"lem
Part of Speech : n.
Etymology : [F. probl?me, L. problema, fr. Gr. Parable. ]
Definition : 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.)

Defn: 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.
Source : Webster's Unabridged Dictionary, 1913