quadrant
The x- and y-axes the xy-plane in four right-angle domains which are called the quadrants
of the plane. They are numbered going round the origin in anticlockwise direction so that
| {(x,y)∣x>0,y>0} |
is the first quadrant,
| {(x,y)∣x<0,y>0} |
the second quadrant, and so on.
Naturally, one can speak of the quadrants of the complex plane, too.
The lines y=±x have as their slope angles ±45∘,
thus halving the quadrant angles; they are called the
quadrant bisectors. Cf. angle bisector as locus.
| Title | quadrant |
| Canonical name | Quadrant |
| Date of creation | 2014-12-16 22:42:51 |
| Last modified on | 2014-12-16 22:42:51 |
| Owner | Mathprof (13753) |
| Last modified by | pahio (2872) |
| Numerical id | 14 |
| Author | Mathprof (2872) |
| Entry type | Definition |
| Classification | msc 51N20 |
| Synonym | quarter-plane |
| Related topic | RightAngle |
| Related topic | ConvexAngle |
| Related topic | Octant |
| Defines | 1st quadrant |
| Defines | 2nd quadrant |
| Defines | 3rd quadrant |
| Defines | 4th quadrant |