diff options
Diffstat (limited to 'buch/chapters/110-elliptisch/images/lemniskate.tex')
| -rw-r--r-- | buch/chapters/110-elliptisch/images/lemniskate.tex | 15 |
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} |