From 45e236bc519b62e8afc1aea7d2e625df4c145348 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Wed, 22 Jun 2022 11:49:27 +0200 Subject: add ell stuff --- buch/chapters/110-elliptisch/images/Makefile | 6 ++- buch/chapters/110-elliptisch/images/ellpolnul.pdf | Bin 0 -> 19288 bytes buch/chapters/110-elliptisch/images/ellpolnul.tex | 57 +++++++++++++++++++++ .../chapters/110-elliptisch/images/jacobiplots.pdf | Bin 56975 -> 56975 bytes buch/chapters/110-elliptisch/images/kegelpara.pdf | Bin 202828 -> 202828 bytes .../110-elliptisch/images/torusschnitt.pdf | Bin 312677 -> 312677 bytes 6 files changed, 62 insertions(+), 1 deletion(-) create mode 100644 buch/chapters/110-elliptisch/images/ellpolnul.pdf create mode 100644 buch/chapters/110-elliptisch/images/ellpolnul.tex (limited to 'buch/chapters/110-elliptisch/images') diff --git a/buch/chapters/110-elliptisch/images/Makefile b/buch/chapters/110-elliptisch/images/Makefile index e6e5b09..3074994 100644 --- a/buch/chapters/110-elliptisch/images/Makefile +++ b/buch/chapters/110-elliptisch/images/Makefile @@ -5,7 +5,8 @@ # all: lemniskate.pdf ellipsenumfang.pdf unvollstaendig.pdf rechteck.pdf \ ellipse.pdf pendel.pdf jacobiplots.pdf jacobidef.pdf jacobi12.pdf \ - sncnlimit.pdf slcl.pdf torusschnitt.pdf kegelpara.pdf lemnispara.pdf + sncnlimit.pdf slcl.pdf torusschnitt.pdf kegelpara.pdf lemnispara.pdf \ + ellpolnul.pdf lemniskate.pdf: lemniskate.tex pdflatex lemniskate.tex @@ -113,3 +114,6 @@ lemnispara.pdf: lemnispara.tex lemnisparadata.tex pdflatex lemnispara.tex ltest: lemnispara.pdf + +ellpolnul.pdf: ellpolnul.tex + pdflatex ellpolnul.tex diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.pdf b/buch/chapters/110-elliptisch/images/ellpolnul.pdf new file mode 100644 index 0000000..ca52cdf Binary files /dev/null and b/buch/chapters/110-elliptisch/images/ellpolnul.pdf differ diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.tex b/buch/chapters/110-elliptisch/images/ellpolnul.tex new file mode 100644 index 0000000..831b477 --- /dev/null +++ b/buch/chapters/110-elliptisch/images/ellpolnul.tex @@ -0,0 +1,57 @@ +% +% tikztemplate.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} +\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] {$K$}; +\node at (1,1) [above right] {$K+iK'$}; +\node at (-1,1) [above left] {$iK'$}; +\node at (0,0) {$u$}; + +\begin{scope}[xshift=4cm] +\fill[color=rot!20] (-1,-1) rectangle (1,1); +\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); +\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); +\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} +\end{document} + diff --git a/buch/chapters/110-elliptisch/images/jacobiplots.pdf b/buch/chapters/110-elliptisch/images/jacobiplots.pdf index c51e916..d30f670 100644 Binary files a/buch/chapters/110-elliptisch/images/jacobiplots.pdf and b/buch/chapters/110-elliptisch/images/jacobiplots.pdf differ diff --git a/buch/chapters/110-elliptisch/images/kegelpara.pdf b/buch/chapters/110-elliptisch/images/kegelpara.pdf index c6456ce..65b097f 100644 Binary files a/buch/chapters/110-elliptisch/images/kegelpara.pdf and b/buch/chapters/110-elliptisch/images/kegelpara.pdf differ diff --git a/buch/chapters/110-elliptisch/images/torusschnitt.pdf b/buch/chapters/110-elliptisch/images/torusschnitt.pdf index b94286a..2eba07e 100644 Binary files a/buch/chapters/110-elliptisch/images/torusschnitt.pdf and b/buch/chapters/110-elliptisch/images/torusschnitt.pdf differ -- cgit v1.2.1