Category:Problem

Prob"lem, n. Etym: [f. problème, l. problema, fr. Gr. 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.)

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.