From 88031a6a5bad428cb3bf03dea6f0f95d79484723 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Thu, 16 Jun 2022 17:02:24 +0200 Subject: new plots --- buch/chapters/110-elliptisch/images/lemnispara.tex | 90 ++++++++++++++++++++++ 1 file changed, 90 insertions(+) create mode 100644 buch/chapters/110-elliptisch/images/lemnispara.tex (limited to 'buch/chapters/110-elliptisch/images/lemnispara.tex') diff --git a/buch/chapters/110-elliptisch/images/lemnispara.tex b/buch/chapters/110-elliptisch/images/lemnispara.tex new file mode 100644 index 0000000..48557cf --- /dev/null +++ b/buch/chapters/110-elliptisch/images/lemnispara.tex @@ -0,0 +1,90 @@ +% +% lemnispara.tex -- parametrization of the lemniscate +% +% (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,calc} +\begin{document} +\def\skala{1} + +\begin{tikzpicture}[>=latex,thick,scale=\skala] +\def\dx{4} +\def\dy{4} +\input{lemnisparadata.tex} + +% add image content here +\draw[color=red!20,line width=1.4pt] \lemnispathmore; +\draw[color=red,line width=1.4pt] \lemnispath; + +\draw[->] ({-1.6*\dx},0) -- ({1.6*\dx},0) coordinate[label={$X$}]; +\draw[->] (0,{-0.7*\dy}) -- (0,{0.7*\dy}) coordinate[label={right:$Y$}]; +\draw ({1.5*\dx},-0.05) -- ({1.5*\dx},0.05); +\draw ({\dx},-0.05) -- ({\dx},0.05); +\draw ({0.5*\dx},-0.05) -- ({0.5*\dx},0.05); +\draw ({-0.5*\dx},-0.05) -- ({-0.5*\dx},0.05); +\draw ({-\dx},-0.05) -- ({-\dx},0.05); +\draw ({-1.5*\dx},-0.05) -- ({-1.5*\dx},0.05); +\draw (-0.05,{0.5*\dy}) -- (0.05,{0.5*\dy}); +\draw (-0.05,{-0.5*\dy}) -- (0.05,{-0.5*\dy}); + +\node at ({\dx},0) [above] {$1$}; +\node at ({-\dx},0) [above] {$-1$}; +\node at ({-0.5*\dx},0) [above] {$-\frac12$}; +\node at ({0.5*\dx},0) [above] {$\frac12$}; +\node at (0,{0.5*\dy}) [left] {$\frac12$}; +\node at (0,{-0.5*\dy}) [left] {$-\frac12$}; + +\def\s{0.02} + +\draw[color=red] ($(LA)-\s*(NA)$) -- ($(LA)+\s*(NA)$); +\draw[color=red] ($(LB)-\s*(NB)$) -- ($(LB)+\s*(NB)$); +\draw[color=red] ($(LC)-\s*(NC)$) -- ($(LC)+\s*(NC)$); +\draw[color=red] ($(LD)-\s*(ND)$) -- ($(LD)+\s*(ND)$); +\draw[color=red] ($(LE)-\s*(NE)$) -- ($(LE)+\s*(NE)$); +\draw[color=red] ($(LF)-\s*(NF)$) -- ($(LF)+\s*(NF)$); +\draw[color=red] ($(LG)-\s*(NG)$) -- ($(LG)+\s*(NG)$); +\draw[color=red] ($(LH)-\s*(NH)$) -- ($(LH)+\s*(NH)$); +\draw[color=red] ($(LI)-\s*(NI)$) -- ($(LI)+\s*(NI)$); +\draw[color=red] ($(LJ)-\s*(NJ)$) -- ($(LJ)+\s*(NJ)$); +\draw[color=red] ($(LK)-\s*(NK)$) -- ($(LK)+\s*(NK)$); +\draw[color=red] ($(LL)-\s*(NL)$) -- ($(LL)+\s*(NL)$); +\draw[color=red] ($(LM)-\s*(NM)$) -- ($(LM)+\s*(NM)$); +\draw[color=red] ($(LN)-\s*(NN)$) -- ($(LN)+\s*(NN)$); +\draw[color=red] ($(LO)-\s*(NO)$) -- ($(LO)+\s*(NO)$); +\draw[color=red] ($(LP)-\s*(NP)$) -- ($(LP)+\s*(NP)$); +\draw[color=red] ($(LQ)-\s*(NQ)$) -- ($(LQ)+\s*(NQ)$); +\draw[color=red] ($(LR)-\s*(NR)$) -- ($(LR)+\s*(NR)$); +\draw[color=red] ($(LS)-\s*(NS)$) -- ($(LS)+\s*(NS)$); +\draw[color=red] ($(LT)-\s*(NT)$) -- ($(LT)+\s*(NT)$); +\draw[color=red] ($(LU)-\s*(NU)$) -- ($(LU)+\s*(NU)$); + +\CB +\CC +\CD +\CE +\CF +\CG +\CH +\CI +\CJ +\CK +\CL +\CM +\CN +\CO +\CP +\CQ +\CR +\CS +\CT +\CU + +\end{tikzpicture} +\end{document} + -- cgit v1.2.1 From abb439719da913ee1bf14ee088748662fef3cd76 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Thu, 16 Jun 2022 19:27:16 +0200 Subject: new stuff --- buch/chapters/110-elliptisch/images/lemnispara.tex | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) (limited to 'buch/chapters/110-elliptisch/images/lemnispara.tex') diff --git a/buch/chapters/110-elliptisch/images/lemnispara.tex b/buch/chapters/110-elliptisch/images/lemnispara.tex index 48557cf..c6e32d7 100644 --- a/buch/chapters/110-elliptisch/images/lemnispara.tex +++ b/buch/chapters/110-elliptisch/images/lemnispara.tex @@ -22,8 +22,9 @@ \draw[color=red!20,line width=1.4pt] \lemnispathmore; \draw[color=red,line width=1.4pt] \lemnispath; -\draw[->] ({-1.6*\dx},0) -- ({1.6*\dx},0) coordinate[label={$X$}]; +\draw[->] ({-1.6*\dx},0) -- ({1.8*\dx},0) coordinate[label={$X$}]; \draw[->] (0,{-0.7*\dy}) -- (0,{0.7*\dy}) coordinate[label={right:$Y$}]; + \draw ({1.5*\dx},-0.05) -- ({1.5*\dx},0.05); \draw ({\dx},-0.05) -- ({\dx},0.05); \draw ({0.5*\dx},-0.05) -- ({0.5*\dx},0.05); @@ -85,6 +86,9 @@ \CT \CU +\fill[color=blue] (LA) circle[radius=0.07]; +\node[color=blue] at (LA) [above right] {$S$}; + \end{tikzpicture} \end{document} -- cgit v1.2.1