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'quadrant'
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| Title of object: |
quadrant |
| Canonical Name: |
Quadrant |
| Type: |
Definition |
| Created on: |
2004-10-04 16:22:22 |
| Modified on: |
2004-11-09 15:14:28 |
| Classification: |
msc:51N20 |
| Defines: |
1st quadrant, 2nd quadrant, 3rd quadrant, 4th quadrant |
| Synonyms: |
quadrant=quarter-plane |
Revision comment (for changes between this and next version):
| Changes for correction #5512 ('picture?'). |
Preamble:
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here |
Content:
The $x$- and $y$-axes \PMlinkescapetext{divide} the $xy$-plane in four right-angle domains which are called the {\em quadrants} of the plane. \,They are numbered going round the origin in anticlockwise direction so that
$$\{(x,\,y): \quad x > 0, \,\,y > 0\}$$
is the {\em first quadrant},
$$\{(x,\,y): \quad x < 0, \,\,y > 0\}$$
the {\em second quadrant}, and so on.
Naturally, one can speak of the quadrants of the complex plane, too. |
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