Search Result for "plane problem":
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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]

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. ]
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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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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```