plane (redirected from mesiodistal, of teeth plane)

plane, in mathematics, flat surface of infinite extent but no thickness. An example of a plane, or more exactly of a bounded portion of a plane, is the surface forming one face, or side, of a cube. A plane is determined, or defined, by any of the following: (1) three points not in a straight line; (2) a straight line and a point not on the line; (3) two intersecting lines; or (4) two parallel lines. Two straight lines in space do not usually lie in the same plane. For a given plane in space, a line can either lie outside and parallel to it, intersect the plane in a single point, or lie entirely in the plane; if more than one point of a straight line lies in the plane, then the entire line must lie in the plane.

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plane¹

1. Maths a flat surface in which a straight line joining any two of its points lies entirely on that surface

2. 

a. short for aeroplane

b. a wing or supporting surface of an aircraft or hydroplane

3. Maths (of a curve, figure, etc.) lying entirely in one plane

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plane²

1. a tool with an adjustable sharpened steel blade set obliquely in a wooden or iron body, for levelling or smoothing timber surfaces, cutting mouldings or grooves, etc.

2. a flat tool, usually metal, for smoothing the surface of clay or plaster in a mould

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plane [plān]

(electronics)

Screen of magnetic cores; planes are combined to form stacks.

(design engineering)

A tool consisting of a smooth-soled stock from the face of which extends a wide-edged cutting blade for smoothing and shaping wood.

(mathematics)

A surface such that a straight line that joins any two of its points lies entirely in that surface.

In projective geometry, a triple of sets (P,L,I) wherePdenotes the set of points,Lthe set of lines, andIthe incidence relation on points and lines, such that (1)PandLare disjoint sets, (2) the union ofPandLis nonnull, and (3)Iis a subset ofP×L, the cartesian product ofPandL.