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2 definitions found
 for Plane problem
From The Collaborative International Dictionary of English v.0.48 :

  Plane \Plane\, a. [L. planus: cf. F. plan. See Plan, a.]
     Without elevations or depressions; even; level; flat; lying
     in, or constituting, a plane; as, a plane surface.
     [1913 Webster]
  
     Note: In science, this word (instead of plain) is almost
           exclusively used to designate a flat or level surface.
           [1913 Webster]
  
     Plane angle, the angle included between two straight lines
        in a plane.
  
     Plane chart, Plane curve. See under Chart and Curve.
        
  
     Plane figure, a figure all points of which lie in the same
        plane. If bounded by straight lines it is a rectilinear
        plane figure, if by curved lines it is a curvilinear plane
        figure.
  
     Plane geometry, that part of geometry which treats of the
        relations and properties of plane figures.
  
     Plane problem, a problem which can be solved geometrically
        by the aid of the right line and circle only.
  
     Plane sailing (Naut.), the method of computing a ship's
        place and course on the supposition that the earth's
        surface is a plane.
  
     Plane scale (Naut.), a scale for the use of navigators, on
        which are graduated chords, sines, tangents, secants,
        rhumbs, geographical miles, etc.
  
     Plane surveying, surveying in which the curvature of the
        earth is disregarded; ordinary field and topographical
        surveying of tracts of moderate extent.
  
     Plane table, an instrument used for plotting the lines of a
        survey on paper in the field.
  
     Plane trigonometry, the branch of trigonometry in which its
        principles are applied to plane triangles.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  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

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