From 265b976d0d6bfa665ba5e1be3755ba932f42b97e Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Mon, 3 Jan 2022 16:06:51 +0100
Subject: Abbildung kegelschnitte

---
 .../030-geometrie/images/kegelschnitte.tex         | 115 +++++++++++++++++++++
 1 file changed, 115 insertions(+)
 create mode 100644 buch/chapters/030-geometrie/images/kegelschnitte.tex

(limited to 'buch/chapters/030-geometrie/images/kegelschnitte.tex')

diff --git a/buch/chapters/030-geometrie/images/kegelschnitte.tex b/buch/chapters/030-geometrie/images/kegelschnitte.tex
new file mode 100644
index 0000000..b8067ad
--- /dev/null
+++ b/buch/chapters/030-geometrie/images/kegelschnitte.tex
@@ -0,0 +1,115 @@
+%
+% kegelschnitt.tex
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{times}
+\usepackage{amsmath}
+\usepackage{txfonts}
+\usepackage[utf8]{inputenc}
+\usepackage{graphics}
+\usetikzlibrary{arrows,intersections,math,calc}
+\usepackage{ifthen}
+\begin{document}
+
+\definecolor{kegelfarbe}{rgb}{0.2,0.6,0.6}
+\definecolor{ebenenfarbe}{rgb}{0.6,0.4,0.2}
+\definecolor{fokusfarbe}{rgb}{0.8,0.0,0.0}
+\definecolor{scheitelfarbe}{rgb}{0,0.6,0}
+\definecolor{leitfarbe}{rgb}{0.8,0.2,0.8}
+
+\newboolean{showgrid}
+\setboolean{showgrid}{false}
+\def\breite{7}
+\def\hoehe{5}
+
+\begin{tikzpicture}[>=latex,thick]
+
+% Povray Bild
+\node at (0,0) {\includegraphics[width=14cm]{kegelschnitte.jpg}};
+
+% Gitter
+\ifthenelse{\boolean{showgrid}}{
+\draw[step=0.1,line width=0.1pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw[step=0.5,line width=0.4pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw                            (-\breite,-\hoehe) grid (\breite, \hoehe);
+\fill (0,0) circle[radius=0.05];
+}{}
+
+\begin{scope}[yshift=-7.5cm]
+
+\begin{scope}
+\clip (-2,-2.5) rectangle (2,1.5);
+\fill[color=kegelfarbe!40]
+	(-1.4,-3) -- (1.4,-3) -- (-1.4,3) -- (1.4,3) -- cycle;
+\begin{scope}[xshift=0.5cm]
+\draw[color=ebenenfarbe,line width=1.4pt]
+	(-1.4,-3) -- (1.4,3);
+\end{scope}
+\end{scope}
+
+\begin{scope}[xshift=-4.5cm]
+\clip (-2,-2.5) rectangle (2,1.5);
+\fill[color=kegelfarbe!40]
+	(-1.4,-3) -- (1.4,-3) -- (-1.4,3) -- (1.4,3) -- cycle;
+\begin{scope}[xshift=-0.3cm]
+\draw[color=ebenenfarbe,line width=1.4pt] (-0.4,-3) -- (0.4,3);
+\end{scope}
+\end{scope}
+
+\begin{scope}[xshift=4.5cm]
+\clip (-2,-2.5) rectangle (2,1.5);
+\fill[color=kegelfarbe!40]
+	(-1.4,-3) -- (1.4,-3) -- (-1.4,3) -- (1.4,3) -- cycle;
+\begin{scope}[xshift=0.9cm]
+\draw[color=ebenenfarbe,line width=1.4pt] (-3.4,-3) -- (3.4,3);
+\end{scope}
+\end{scope}
+
+\end{scope}
+
+\def\marke#1#2#3#4{
+	\fill[color=white,opacity=0.5]
+		({#1-0.25},{#2-0.2}) rectangle ({#1+0.20},{#2+0.2});
+	\node[color=#3] at ({#1},{#2}) {#4};
+}
+
+\node[color=fokusfarbe] at (-5,0.5) {$F_1$};
+\node[color=fokusfarbe] at (-4.5,4.4) {$F_2$};
+%\node[color=scheitelfarbe] at (-4.5,4.1) [below left] {$S_2$};
+%\node[color=scheitelfarbe] at (-4.7,0.8) [above left] {$S_1$};
+\marke{-4.9}{3.7}{scheitelfarbe}{$S_2$}
+\marke{-5.1}{1.1}{scheitelfarbe}{$S_1$}
+\node[color=yellow] at (-3.9,-0.9) [right] {$P$};
+
+\node[color=fokusfarbe] at (0.05,0.75) {$F$};
+%\node[color=scheitelfarbe] at (0.4,1.0) [above left] {$S$};
+\marke{0.35}{1.4}{scheitelfarbe}{$S$};
+\node[color=yellow] at (0.95,-0.6) [right] {$P$};
+\node[color=leitfarbe] at (2.2,1.2) {$l$};
+
+\node[color=fokusfarbe] at (3.5,-2.9) {$F_1$};
+\node[color=fokusfarbe] at (4.4,-0.8) {$F_2$};
+%\node[color=scheitelfarbe] at (3.6,-3.5) [below left] {$S_1$};
+%\node[color=scheitelfarbe] at (4.8,-0.4) [above right] {$S_2$};
+\marke{3.05}{-3.85}{scheitelfarbe}{$S_1$}
+\marke{5.3}{-0.0}{scheitelfarbe}{$S_2$}
+\node[color=yellow] at (4.8,-2.7) [below right] {$P$};
+
+\begin{scope}[yshift=-5.5cm]
+\node at (-4.5,0)
+	{Hyperbel: $\overline{F_1P}-\overline{F_2P}=\text{const}$\strut};
+
+\fill[color=white,opacity=0.7] (-1.3,-0.25) rectangle (1.3,0.25);
+\node at (0,0) {Parabel: $\overline{FP}=\overline{lP}$\strut};
+
+\fill[color=white,opacity=0.7] (2.4,-0.25) rectangle (6.6,0.25);
+\node at (4.5,0)
+	{Ellipse: $\overline{F_1P}+\overline{F_2P}=\text{const}$\strut};
+\end{scope}
+
+\end{tikzpicture}
+
+\end{document}
+
-- 
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