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octant
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(Definition)
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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.
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"octant" is owned by pahio.
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Cross-references: preserves, point, solid angle, trihedral angles, planes, coordinate
There are 2 references to this entry.
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 MSC: | 51N20 (Geometry :: Analytic and descriptive geometry :: Euclidean analytic geometry) |
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Pending Errata and Addenda
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