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Diffstat (limited to 'buch/chapters/110-elliptisch/images/ellipsenumfang.tex')
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diff --git a/buch/chapters/110-elliptisch/images/ellipsenumfang.tex b/buch/chapters/110-elliptisch/images/ellipsenumfang.tex new file mode 100644 index 0000000..0d1b807 --- /dev/null +++ b/buch/chapters/110-elliptisch/images/ellipsenumfang.tex @@ -0,0 +1,83 @@ +% +% ellipsenumfang.tex -- template for standalon tikz images +% +% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +% +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usepackage{times} +\usepackage{txfonts} +\usepackage{pgfplots} +\usepackage{csvsimple} +\usetikzlibrary{arrows,intersections,math} +\begin{document} +\input{ekplot.tex} +\def\skala{1.19} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +\pgfkeys{/pgf/number format/.cd, fixed, fixed zerofill, precision=1} + +\def\dx{10} +\def\dy{4} + +%\draw[line width=0.4pt] (0,\dy) -- (10,\dy); +%\draw[line width=0.4pt] (\dx,0) -- (10,\dy); + +\draw[->] (0,{\dy-0.1}) -- (0,7.0) coordinate[label={left:$E(k=\varepsilon)$}]; +\draw[->] (-0.1,\dy) -- (10.5,\dy) coordinate[label={$\varepsilon$}]; + +\foreach \i in {0,...,10}{ + \pgfmathparse{\i/10} + \xdef\wert{\pgfmathresult} + \draw (\i,{\dy-0.1}) -- (\i,{\dy+0.1}); + \node at (\i,{\dy-0.1}) [below] {$\pgfmathprintnumber{\wert}$}; +} + +\draw[color=red,line width=1.4pt] \ekpath; +\fill[color=red] (\dx,\dy) circle[radius=0.07]; + +\foreach \y in {1.0,1.2,1.4}{ + \draw (-0.1,{\dy*\y}) -- (0.1,{\dy*\y}); + \node at (-0.1,{\dy*\y}) [left] {$\pgfmathprintnumber{\y}$}; +} + +\draw (-0.1,{\dy*3.14159/2}) -- (0.1,{\dy*3.14159/2}); +\node at (0,{\dy*3.14159/2}) [left] {$\displaystyle\frac{\pi}2$}; + + +\punkte + +\foreach \exzentrizitaet in {0.05,0.15,...,0.95}{ + \pgfmathparse{sqrt(1-\exzentrizitaet*\exzentrizitaet)} + \xdef\halbachse{\pgfmathresult} + + \pgfmathparse{\exzentrizitaet*\dx} + \xdef\mitte{\pgfmathresult} + %\node at (\mitte,1) {$\pgfmathprintnumber{\mitte}$}; + + \pgfmathparse{(1-\exzentrizitaet)} + \xdef\breite{\halbachse} + %\node at (\mitte,0.5) {$\pgfmathprintnumber{\breite}$}; + + \begin{scope} + + \clip ({\mitte-(\breite/2)},{1.8*\dy}) + rectangle ({\mitte+(\breite/2)+0.1},{1.8*\dy+1.1}); + \fill[color=blue!20] ({\mitte-\breite/2},{1.8*\dy}) + ellipse({\breite} and 1); + \draw[color=blue,line width=1.4pt] + ({\mitte-\breite/2},{1.8*\dy}) + ellipse({\breite} and 1); + \draw[color=blue,line width=0.2pt] + ({\mitte-\breite/2},{1.8*\dy+1}) + -- + ({\mitte-\breite/2},{1.8*\dy}) + -- + ({\mitte+\breite/2},{1.8*\dy}); + \end{scope} +} + + +\end{tikzpicture} +\end{document} + |