n. [ F. problème, L. problema, fr. Gr. &unr_; anything thrown forward, a question proposed for solution, fr. &unr_; to throw or lay before; &unr_; before, forward + &unr_; 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 ]

☞ 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 ]

{ } a. [ L. problematicus, Gr. &unr_;: cf. F. problématique. ] 1. Having the nature of a problem; not shown in fact; questionable; uncertain; unsettled; doubtful; as, his theory is problematic because it fails to explain several facts. -- Prob`lem*at"ic*al*ly, adv. [1913 Webster]

Diligent inquiries into remote and problematical guilt leave a gate wide open to . . . informers. Swift. [1913 Webster]

2. Having characteristics which will create difficulties or undesirable consequences; -- of a proposed action; as, the proposed law is problematic because it will cause many people to lose their jobs. [PJC]

n. One who proposes problems. [ R. ] Evelyn. [ 1913 Webster ]

v. t. To propose problems. [ R. ] “Hear him problematize.” B. Jonson. [ 1913 Webster ]