Файл:Rotations on the complex plane.svg
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Эх файл (SVG файл, 785 × 777 пиксэл, файлын хэмжээ: 18 КБ)
Товч агуулга
| Тайлбар | Four numbers on the real line are multiplied by integer powers of the imaginary unit, which corresponds to rotations by multiples of the right angle. |
| Эх үүсвэр |
Self-made. Written in TeX with TikZ, compiled using latex rot.tex && dvisvgm -n -c1.75 rot.dvi |
| Зохиогч | Keφr |
TeX source
\documentclass{article}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{tikz}
\usepackage{scalefnt}
\begin{document}
\pagestyle{empty}
\def\rotarc#1#2#3#4#5{
\draw[#2,fill=#2] (#1,0) circle (0.03);
\draw[#2,fill=#2] ({#1*cos(#3)},{#1*sin(#3)}) circle (0.03);
\draw[thick,->,#2] (#1,0.075) arc (asin(0.075/#1):#3/2:#1) node [anchor=#5] {#4} arc (#3/2:#3-asin(0.075/#1):#1) ;
}
\begin {tikzpicture} [scale=2]
\draw[dashed,->] (-3.1,0) -- (3.1,0) node [anchor=north] {Re} ;
\draw[dashed,->] (0,-3.1) -- (0,3.1) node [anchor=west ] {Im} ;
\rotarc {0.5} {red } { 90} {$i^1 = i$} {south west}
\rotarc {1.2} {olive } {180} {$i^2 = -1$} {south west}
\rotarc {1.9} {teal } {270} {$i^3 = -i$} {south east}
\rotarc {2.6} {blue } {360} {$i^4 = 1$} {south east}
\end {tikzpicture}
\end{document}
Лиценз
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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| Огноо/Цаг | Жижиг зураг | Хэмжээ | Хэрэглэгч | Тайлбар | |
|---|---|---|---|---|---|
| одоогийн | 22:37, 23 Аравдугаар сар 2014 | | 785 × 777 (18 КБ) | wikimediacommons>Kephir | {{Information |Description=Four numbers on the real line are multiplied by integer powers of the imaginary unit, which corresponds to rotations by multiples of the right angle. |Source=Self-made. Written in TeX with TikZ, compiled using <code>latex rot... |
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