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[parent] octant (Definition)

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.




"octant" is owned by pahio.
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See Also: quadrant

Also defines:  first octant

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Cross-references: preserves, point, solid angle, trihedral angles, planes, coordinate
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This is version 2 of octant, born on 2009-03-22, modified 2009-03-23.
Object id is 11686, canonical name is Octant.
Accessed 617 times total.

Classification:
AMS MSC51N20 (Geometry :: Analytic and descriptive geometry :: Euclidean analytic geometry)

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