Orthant

An orthant to a point called in geometry a subset of the -dimensional space, which lies on exactly one side of the axis-parallel hyperplanes passing through. A orthant is, more specifically, the section of each of an axis parallel to and extending the half-spaces.

Formally defined, this means is a orthant to, if

Which is true.

By definition, there is a point that is exactly the orthant.

Examples

• In the four quadrants of the Cartesian coordinate system corresponding to the orthant in origin.

• In one calls the eight orthant at the origin corresponding to octants see Octant ( geometry).

• Geometry