# Problem

## Prob"lem

(?), n. [F. problme, L. problema, fr. Gr. anything thrown forward, a question proposed for solution, fr. to throw or lay before; before, forward + to throw. Cf. Parable. ]
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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.
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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.
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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.
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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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## Prob`lem*at"ic*al

(?), } a. [L. problematicus, Gr. : cf. F. problmatique.] Having the nature of a problem; not shown in fact; questionable; uncertain; unsettled; doubtful. -- Prob`lem*at"ic*al*ly, adv.
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Diligent inquiries into remote and problematical guilt leave a gate wide open to . . . informers.
Swift.
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Mon 30th November 2020