Plane geometry

Plane geometry

In mathematics, plane geometry may mean:

*geometry of a plane,
*geometry of the Euclidean plane,

or sometimes a plane is any flat surface that extends without end in all directions.

*geometry of a projective plane, most commonly the real projective plane but possibly the complex projective plane, Fano plane or others;

*geometry of the hyperbolic plane or two-dimensional spherical geometry.

See also: plane curve.


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  • Plane geometry — 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… …   The Collaborative International Dictionary of English

  • plane geometry — n. the branch of geometry dealing with plane figures …   English World dictionary

  • plane geometry — noun the geometry of 2 dimensional figures • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑geometry * * * noun : a branch of elementary geometry that deals with plane figures * * * Math. the geometry of figures whose parts all lie in one… …   Useful english dictionary

  • plane geometry — plane′ geom′etry n. math. the geometry of figures whose parts all lie in one plane • Etymology: 1740–50 …   From formal English to slang

  • plane geometry — plane ge.ometry n [U] the study of lines, shapes etc that are ↑two dimensional (=with measurements in only two directions, not three) …   Dictionary of contemporary English

  • Plane (geometry) — Two intersecting planes in three dimensional space In mathematics, a plane is a flat, two dimensional surface. A plane is the two dimensional analogue of a point (zero dimensions), a line (one dimension) and a space (three dimensions). Planes can …   Wikipedia

  • plane geometry — noun Date: 1747 a branch of elementary geometry that deals with plane figures …   New Collegiate Dictionary

  • plane geometry — Math. the geometry of figures whose parts all lie in one plane. [1740 50] * * * …   Universalium

  • plane geometry — /pleɪn dʒiˈɒmətri/ (say playn jee omuhtree) noun the geometry of figures whose parts all lie in one plane …  

  • plane geometry — field in geometry that deals with one dimensional figures …   English contemporary dictionary

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