Solid problem

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]