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Half-Plane


A half-plane is a planar region consisting of all points on one side of an infinite straight line, and no points on the other side.

If the points on the line are included, then it is called an closed half-plane. If the points on the line are not included, then it is called an open half-plane.


See also

Half-Space, Lower Half-Plane, Plane, Ray, Upper Half-Plane

Portions of this entry contributed by John Renze

Portions of this entry contributed by Dan Uznanski

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Cite this as:

Renze, John; Uznanski, Dan; and Weisstein, Eric W. "Half-Plane." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Half-Plane.html

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