'Solid problem' definitions:

Definition of 'Solid problem'

From: GCIDE
  • 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

Definition of 'Solid problem'

From: GCIDE
  • Solid \Sol"id\ (s[o^]l"[i^]d), a. [L. solidus, probably akin to sollus whole, entire, Gr. ???: cf. F. solide. Cf. Consolidate,Soda, Solder, Soldier, Solemn.]
  • 1. Having the constituent parts so compact, or so firmly adhering, as to resist the impression or penetration of other bodies; having a fixed form; hard; firm; compact; -- opposed to fluid and liquid or to plastic, like clay, or to incompact, like sand. [1913 Webster]
  • 2. Not hollow; full of matter; as, a solid globe or cone, as distinguished from a hollow one; not spongy; dense; hence, sometimes, heavy. [1913 Webster]
  • 3. (Arith.) Having all the geometrical dimensions; cubic; as, a solid foot contains 1,728 solid inches. [1913 Webster]
  • Note: In this sense, cubics now generally used. [1913 Webster]
  • 4. Firm; compact; strong; stable; unyielding; as, a solid pier; a solid pile; a solid wall. [1913 Webster]
  • 5. Applied to a compound word whose parts are closely united and form an unbroken word; -- opposed to hyphened. [1913 Webster]
  • 6. Fig.: Worthy of credit, trust, or esteem; substantial, as opposed to frivolous or fallacious; weighty; firm; strong; valid; just; genuine. [1913 Webster]
  • The solid purpose of a sincere and virtuous answer. --Milton. [1913 Webster]
  • These, wanting wit, affect gravity, and go by the name of solid men. --Dryden. [1913 Webster]
  • The genius of the Italians wrought by solid toil what the myth-making imagination of the Germans had projected in a poem. --J. A. Symonds. [1913 Webster]
  • 7. Sound; not weakly; as, a solid constitution of body. --I. Watts. [1913 Webster]
  • 8. (Bot.) Of a fleshy, uniform, undivided substance, as a bulb or root; not spongy or hollow within, as a stem. [1913 Webster]
  • 9. (Metaph.) Impenetrable; resisting or excluding any other material particle or atom from any given portion of space; -- applied to the supposed ultimate particles of matter. [1913 Webster]
  • 10. (Print.) Not having the lines separated by leads; not open. [1913 Webster]
  • 11. United; without division; unanimous; as, the delegation is solid for a candidate. [Polit. Cant. U.S.] [1913 Webster]
  • Solid angle. (Geom.) See under Angle.
  • Solid color, an even color; one not shaded or variegated.
  • Solid green. See Emerald green (a), under Green.
  • Solid measure (Arith.), a measure for volumes, in which the units are each a cube of fixed linear magnitude, as a cubic foot, yard, or the like; thus, a foot, in solid measure, or a solid foot, contains 1,728 solid inches.
  • Solid newel (Arch.), a newel into which the ends of winding stairs are built, in distinction from a hollow newel. See under Hollow, a.
  • Solid problem (Geom.), a problem which can be construed geometrically, only by the intersection of a circle and a conic section or of two conic sections. --Hutton.
  • Solid square (Mil.), a square body or troops in which the ranks and files are equal. [1913 Webster]
  • Syn: Hard; firm; compact; strong; substantial; stable; sound; real; valid; true; just; weighty; profound; grave; important.
  • Usage: Solid, Hard. These words both relate to the internal constitution of bodies; but hardnotes a more impenetrable nature or a firmer adherence of the component parts than solid. Hard is opposed to soft, and solid to fluid, liquid, open, or hollow. Wood is usually solid; but some kinds of wood are hard, and others are soft. [1913 Webster]
  • Repose you there; while I [return] to this hard house, More harder than the stones whereof 't is raised. --Shak. [1913 Webster]
  • I hear his thundering voice resound, And trampling feet than shake the solid ground. --Dryden. [1913 Webster]