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'terminal ray'
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| Title of object: |
terminal ray |
| Canonical Name: |
TerminalRay |
| Type: |
Definition |
| Created on: |
2006-07-22 10:58:43 |
| Modified on: |
2006-07-22 10:59:15 |
| Classification: |
msc:51-01 |
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
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Content:
| Let an angle whose \PMlinkescapetext{measure} in radians is $\theta$ be placed \PMlinkescapetext{onto} the Cartesian plane such that one of its rays $R_1$ corresponds to the nonnegative $x$ axis and one can go from the point $(1,0)$ to the point that is the intersection of the other ray $R_2$ of the angle with the circle $x^2+y^2=1$ by traveling exactly $\theta$ units on the circle. (If $\theta$ is positive, the distance should be traveled counterclockwise; otherwise, the distance $|\theta|$ should be traveled clockwise. Also, note that ``other ray'' is used quite loosely, as it may also correspond to the positive $x$ axis also.) Then $R_2$ is the \emph{terminal ray} of the angle. |
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