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An octant is one of eight divisions.

b>octant is one of 8 parts of the two-dimensional Euclidean
Euclidean geometry

Euclidean geometry is a mathematical system attributed to the Greek mathematics Euclid of Alexandria. Euclid's Elements is the earliest known systematic discussion of geometry....
  coordinate system
Cartesian coordinate system

In mathematics, the Cartesian coordinate system is used to determine each Point uniquely in a Plane through two numbers, usually called the x-coordinate or abscissa and the y-coordinate or ordinate of the point....
.

Traditionally wind direction is given as one of the 8 octants (N, NE, E, SE, S, SW, W, NW) because that is more accurate than merely giving one of the 4 quadrants, and the wind vane typically does not have enough accuracy to bother with more precise indication.

b>octant is one of the eight divisions of a Euclidean
Euclidean geometry

Euclidean geometry is a mathematical system attributed to the Greek mathematics Euclid of Alexandria. Euclid's Elements is the earliest known systematic discussion of geometry....
 three-dimensional coordinate system
Cartesian coordinate system

In mathematics, the Cartesian coordinate system is used to determine each Point uniquely in a Plane through two numbers, usually called the x-coordinate or abscissa and the y-coordinate or ordinate of the point....
.






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An octant is one of eight divisions.

Octant in the plane

An octant is one of 8 parts of the two-dimensional Euclidean
Euclidean geometry

Euclidean geometry is a mathematical system attributed to the Greek mathematics Euclid of Alexandria. Euclid's Elements is the earliest known systematic discussion of geometry....
  coordinate system
Cartesian coordinate system

In mathematics, the Cartesian coordinate system is used to determine each Point uniquely in a Plane through two numbers, usually called the x-coordinate or abscissa and the y-coordinate or ordinate of the point....
.

Traditionally wind direction is given as one of the 8 octants (N, NE, E, SE, S, SW, W, NW) because that is more accurate than merely giving one of the 4 quadrants, and the wind vane typically does not have enough accuracy to bother with more precise indication.

Octant in three-dimensional space

An octant is one of the eight divisions of a Euclidean
Euclidean geometry

Euclidean geometry is a mathematical system attributed to the Greek mathematics Euclid of Alexandria. Euclid's Elements is the earliest known systematic discussion of geometry....
 three-dimensional coordinate system
Cartesian coordinate system

In mathematics, the Cartesian coordinate system is used to determine each Point uniquely in a Plane through two numbers, usually called the x-coordinate or abscissa and the y-coordinate or ordinate of the point....
. It is similar to the two-dimensional quadrant
Cartesian coordinate system

In mathematics, the Cartesian coordinate system is used to determine each Point uniquely in a Plane through two numbers, usually called the x-coordinate or abscissa and the y-coordinate or ordinate of the point....
 and the one-dimensional ray
Line (mathematics)

In geometry, a line is a Curvature curve. When geometry is used to model the real world, lines are used to represent straight objects with negligible width and height....
.

The n-dimensional generalization is the orthant
Orthant

In geometry, a closed orthant is one of the 2n subsets of an n-dimensional Euclidean space defined by constraining each Cartesian coordinate axis to be nonnegative or nonpositive....
.

Octant order

Usually, the octant with all three positive coordinates is referred to as the first octant. Nevertheless there is no generally used naming convention for the other seven octants. first octant (+,+,+) top-back-right (-,+,+) top-back-left (-,-,+) top-front-left (+,-,+) bottom-front-left (+,-,-) bottom-back-left (-,-,-) bottom-back-right (-,+,-) bottom-front-right (+,+,-)

See also

  • Octa
    Octa

    :For the numerical prefix...