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# octant

The coordinate planes ($yz$-plane, $zx$-plane, $xy$-plane) divide the space $\mathbb{R}^{3}$ into eight trihedral angles, which are called the *octants* of the space. The magnitude of each octant as a solid angle is $\frac{\pi}{2}$.

Any coordinate of a point moving in a certain octant preserves its sign. One calls the octant, where all three coordinates are nonnegative, *the first octant*. The other octants have no agreed numbering; see still Wikipedia.

Defines:

first octant

Related:

Quadrant

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Definition

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## Mathematics Subject Classification

51N20*no label found*

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