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authorSamuel Niederer <43746162+samnied@users.noreply.github.com>2022-07-24 12:17:00 +0200
committerGitHub <noreply@github.com>2022-07-24 12:17:00 +0200
commitefe7c35759afb5cbae3c1683873c5159be0be09f (patch)
tree84f2e8510132352f9943bddc577ccf32cd46f2dc /buch/chapters/110-elliptisch/images/lemniskate.tex
parentadd current work (diff)
parentMerge pull request #26 from p1mueller/master (diff)
downloadSeminarSpezielleFunktionen-efe7c35759afb5cbae3c1683873c5159be0be09f.tar.gz
SeminarSpezielleFunktionen-efe7c35759afb5cbae3c1683873c5159be0be09f.zip
Merge branch 'AndreasFMueller:master' into master
Diffstat (limited to '')
-rw-r--r--buch/chapters/110-elliptisch/images/lemniskate.tex15
1 files changed, 13 insertions, 2 deletions
diff --git a/buch/chapters/110-elliptisch/images/lemniskate.tex b/buch/chapters/110-elliptisch/images/lemniskate.tex
index f74a81f..fe90631 100644
--- a/buch/chapters/110-elliptisch/images/lemniskate.tex
+++ b/buch/chapters/110-elliptisch/images/lemniskate.tex
@@ -27,13 +27,16 @@
\draw[color=red,line width=2.0pt]
plot[domain=45:\a,samples=100] ({\x}:{sqrt(2*cos(2*\x))});
-\draw[->] (-1.5,0) -- (1.5,0) coordinate[label={$x$}];
-\draw[->] (0,-0.7) -- (0,0.7) coordinate[label={right:$y$}];
+\draw[->] (-1.5,0) -- (1.7,0) coordinate[label={$X$}];
+\draw[->] (0,-0.7) -- (0,0.7) coordinate[label={right:$Y$}];
\fill[color=white] (1,0) circle[radius=0.02];
\draw (1,0) circle[radius=0.02];
+\node at ({1},0) [below] {$\displaystyle a\mathstrut$};
+
\fill[color=white] (-1,0) circle[radius=0.02];
\draw (-1,0) circle[radius=0.02];
+\node at ({-1},0) [below] {$\displaystyle\llap{$-$}a\mathstrut$};
\node[color=blue] at (\a:{0.6*sqrt(2*cos(2*\a))}) [below] {$r$};
\node[color=red] at ({\b}:{sqrt(2*cos(2*\b))}) [above] {$s$};
@@ -41,6 +44,14 @@
\fill[color=white] (\a:{sqrt(2*cos(2*\a))}) circle[radius=0.02];
\draw[color=red] (\a:{sqrt(2*cos(2*\a))}) circle[radius=0.02];
+\draw ({sqrt(2)},{-0.1/\skala}) -- ({sqrt(2)},{0.1/\skala});
+\node at ({sqrt(2)},0) [below right]
+ {$\displaystyle a\mathstrut\sqrt{2}$};
+\draw ({-sqrt(2)},{-0.1/\skala}) -- ({-sqrt(2)},{0.1/\skala});
+\node at ({-sqrt(2)},0) [below left]
+ {$\displaystyle -a\mathstrut\sqrt{2}$};
+
+
\end{tikzpicture}
\end{document}