From 17f90bd131bdf24110d8933fd804413d53e17bc5 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@othello.ch>
Date: Wed, 22 Jun 2022 13:07:36 +0200
Subject: add graph for all functions

---
 buch/chapters/110-elliptisch/images/ellpolnul.tex | 24 +++++++++++------------
 1 file changed, 12 insertions(+), 12 deletions(-)

(limited to 'buch/chapters/110-elliptisch/images/ellpolnul.tex')

diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.tex b/buch/chapters/110-elliptisch/images/ellpolnul.tex
index 831b477..1ed6b22 100644
--- a/buch/chapters/110-elliptisch/images/ellpolnul.tex
+++ b/buch/chapters/110-elliptisch/images/ellpolnul.tex
@@ -1,5 +1,5 @@
 %
-% tikztemplate.tex -- template for standalon tikz images
+% ellpolnul.tex -- template for standalon tikz images
 %
 % (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 %
@@ -9,15 +9,12 @@
 \usepackage{txfonts}
 \usepackage{pgfplots}
 \usepackage{csvsimple}
-\usetikzlibrary{arrows,intersections,math}
+\usetikzlibrary{arrows,intersections,math,calc}
 \begin{document}
+\input{ellcommon.tex}
 \def\skala{1}
 \begin{tikzpicture}[>=latex,thick,scale=\skala]
 
-\definecolor{rot}{rgb}{0.8,0,0}
-\definecolor{blau}{rgb}{0,0,1}
-\definecolor{gruen}{rgb}{0,0.6,0}
-
 \draw (-1,-1) rectangle (1,1);
 \node at (-1,-1) [below left] {$0$};
 \node at (1,-1) [below right] {$K$};
@@ -26,30 +23,33 @@
 \node at (0,0) {$u$};
 
 \begin{scope}[xshift=4cm]
-\fill[color=rot!20] (-1,-1) rectangle (1,1);
+\rechteck{rot}{\operatorname{sn}(u,k)}
+\nullstelle{(-1,-1)}{rot}
+\pol{(-1,1)}{rot}
 \node at (-1,-1) {$0$};
 \node at (1,-1) {$1$};
 \node at (1,1) {$\frac1k$};
 \node at (-1,1) {$\infty$};
-\node[color=rot] at (0,0) {$\operatorname{sn}(u,k)$};
 \end{scope}
 
 \begin{scope}[xshift=7cm]
-\fill[color=blau!20] (-1,-1) rectangle (1,1);
+\rechteck{blau}{\operatorname{cn}(u,k)}
+\nullstelle{(1,-1)}{blau}
+\pol{(-1,1)}{blau}
 \node at (-1,-1) {$1$};
 \node at (1,-1) {$0$};
 \node at (1,1) {$\frac{ik'}k$};
 \node at (-1,1) {$\infty$};
-\node[color=blau] at (0,0) {$\operatorname{cn}(u,k)$};
 \end{scope}
 
 \begin{scope}[xshift=10cm]
-\fill[color=gruen!20] (-1,-1) rectangle (1,1);
+\rechteck{gruen}{\operatorname{dn}(u,k)}
+\nullstelle{(1,1)}{gruen}
+\pol{(-1,1)}{gruen}
 \node at (-1,-1) {$1$};
 \node at (1,-1) {$k'$};
 \node at (1,1) {$0$};
 \node at (-1,1) {$\infty$};
-\node[color=gruen] at (0,0) {$\operatorname{dn}(u,k)$};
 \end{scope}
 
 \end{tikzpicture}
-- 
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