Problem \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. ]
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster] Problematic
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