half plane
noun Date: 1891 the part of a plane on one side of an indefinitely extended straight line drawn in the plane

New Collegiate Dictionary. 2001.

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• half-plane — /haf playn , hahf /, n. Math. the part of the plane on one side of a straight line of infinite length in the plane. [1890 95] * * * half plane «HAF PLAYN, HAHF », noun. Geometry. the part of a plane on one side of a straight line drawn in the… …   Useful english dictionary

• half-plane — /haf playn , hahf /, n. Math. the part of the plane on one side of a straight line of infinite length in the plane. [1890 95] * * * …   Universalium

• half plane — noun mathematics : the part of a plane on one side of an indefinitely extended straight line drawn in it …   Useful english dictionary

• Poincaré half-plane model — Stellated regular heptagonal tiling of the model.In non Euclidean geometry, the Poincaré half plane model is the upper half plane, together with a metric, the Poincaré metric, that makes it a model of two dimensional hyperbolic geometry.It is… …   Wikipedia

• Upper half-plane — In mathematics, the upper half plane H is the set of complex numbers with positive imaginary part y: The term is associated with a common visualization of complex numbers with points in the plane endowed with Cartesian coordinates, with the Y… …   Wikipedia

• Lower half-plane — In mathematics, the lower half plane H is the set of complex numbers :mathbb{H} = {x + iy ;| y < 0; x, y in mathbb{R} } with positive imaginary part y . Other names are hyperbolic plane, Poincaré plane and Lobachevsky plane, particularly in texts …   Wikipedia

• Right half-plane — In complex variables, the right half plane is the set: {z in mathbb{C} quad : quad mbox{Re}(z) > 0}of all points in the complex plane whose real part is positive …   Wikipedia

• Half-space (disambiguation) — half space may refer to either of the following: * in geometry , the half space (or half plane) mdash;part of an affine space * in typography , the half space punctuation character …   Wikipedia

• Half-space — For other uses, see Half space (disambiguation). In geometry, a half space is either of the two parts into which a plane divides the three dimensional euclidean space. More generally, a half space is either of the two parts into which a… …   Wikipedia

• 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

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