diff options
Diffstat (limited to 'buch/chapters/030-geometrie/images/kegelschnitte.tex')
| -rw-r--r-- | buch/chapters/030-geometrie/images/kegelschnitte.tex | 88 |
1 files changed, 55 insertions, 33 deletions
diff --git a/buch/chapters/030-geometrie/images/kegelschnitte.tex b/buch/chapters/030-geometrie/images/kegelschnitte.tex index b8067ad..bb91d0d 100644 --- a/buch/chapters/030-geometrie/images/kegelschnitte.tex +++ b/buch/chapters/030-geometrie/images/kegelschnitte.tex @@ -18,6 +18,7 @@ \definecolor{fokusfarbe}{rgb}{0.8,0.0,0.0} \definecolor{scheitelfarbe}{rgb}{0,0.6,0} \definecolor{leitfarbe}{rgb}{0.8,0.2,0.8} +\definecolor{mantelfarbe}{rgb}{0.2,0.6,1.0} \newboolean{showgrid} \setboolean{showgrid}{false} @@ -37,38 +38,56 @@ \fill (0,0) circle[radius=0.05]; }{} +% +% Lage der Schnittebene +% \begin{scope}[yshift=-7.5cm] - -\begin{scope} -\clip (-2,-2.5) rectangle (2,1.5); -\fill[color=kegelfarbe!40] - (-1.4,-3) -- (1.4,-3) -- (-1.4,3) -- (1.4,3) -- cycle; -\begin{scope}[xshift=0.5cm] -\draw[color=ebenenfarbe,line width=1.4pt] - (-1.4,-3) -- (1.4,3); -\end{scope} -\end{scope} - -\begin{scope}[xshift=-4.5cm] -\clip (-2,-2.5) rectangle (2,1.5); -\fill[color=kegelfarbe!40] - (-1.4,-3) -- (1.4,-3) -- (-1.4,3) -- (1.4,3) -- cycle; -\begin{scope}[xshift=-0.3cm] -\draw[color=ebenenfarbe,line width=1.4pt] (-0.4,-3) -- (0.4,3); -\end{scope} -\end{scope} - -\begin{scope}[xshift=4.5cm] -\clip (-2,-2.5) rectangle (2,1.5); -\fill[color=kegelfarbe!40] - (-1.4,-3) -- (1.4,-3) -- (-1.4,3) -- (1.4,3) -- cycle; -\begin{scope}[xshift=0.9cm] -\draw[color=ebenenfarbe,line width=1.4pt] (-3.4,-3) -- (3.4,3); -\end{scope} -\end{scope} + % Hyperbel + \begin{scope}[xshift=-4.5cm] + \clip (-2,-2.5) rectangle (2,1.5); + \fill[color=kegelfarbe!40] + (-1.4,-3) -- (1.4,-3) -- (-1.4,3) -- (1.4,3) -- cycle; + \begin{scope}[xshift=-0.3cm] + \draw[color=ebenenfarbe,line width=1.4pt] + (-0.4,-3) -- (0.4,3); + \end{scope} + \begin{scope} + \draw[color=mantelfarbe,line width=1.2pt] + (-0.4,-3) -- (0.4,3); + \end{scope} + \end{scope} + + % Parabel + \begin{scope} + \clip (-2,-2.5) rectangle (2,1.5); + \fill[color=kegelfarbe!40] + (-1.4,-3) -- (1.4,-3) -- (-1.4,3) -- (1.4,3) -- cycle; + \begin{scope}[xshift=0.5cm] + \draw[color=ebenenfarbe,line width=1.4pt] + (-1.4,-3) -- (1.4,3); + \end{scope} + \begin{scope} + \draw[color=mantelfarbe,line width=1.2pt] + (-1.4,-3) -- (1.4,3); + \end{scope} + \end{scope} + + % Ellipse + \begin{scope}[xshift=4.5cm] + \clip (-2,-2.5) rectangle (2,1.5); + \fill[color=kegelfarbe!40] + (-1.4,-3) -- (1.4,-3) -- (-1.4,3) -- (1.4,3) -- cycle; + \begin{scope}[xshift=0.9cm] + \draw[color=ebenenfarbe,line width=1.4pt] + (-3.4,-3) -- (3.4,3); + \end{scope} + \end{scope} \end{scope} +% +% Beschriftung der 3D-Abbildung +% \def\marke#1#2#3#4{ \fill[color=white,opacity=0.5] ({#1-0.25},{#2-0.2}) rectangle ({#1+0.20},{#2+0.2}); @@ -97,15 +116,18 @@ \marke{5.3}{-0.0}{scheitelfarbe}{$S_2$} \node[color=yellow] at (4.8,-2.7) [below right] {$P$}; +% +% Beschriftung und geometrische Örter +% \begin{scope}[yshift=-5.5cm] -\node at (-4.5,0) + \node at (-4.5,0) {Hyperbel: $\overline{F_1P}-\overline{F_2P}=\text{const}$\strut}; -\fill[color=white,opacity=0.7] (-1.3,-0.25) rectangle (1.3,0.25); -\node at (0,0) {Parabel: $\overline{FP}=\overline{lP}$\strut}; + \fill[color=white,opacity=0.7] (-1.3,-0.25) rectangle (1.3,0.25); + \node at (0,0) {Parabel: $\overline{FP}=\overline{lP}$\strut}; -\fill[color=white,opacity=0.7] (2.4,-0.25) rectangle (6.6,0.25); -\node at (4.5,0) + \fill[color=white,opacity=0.7] (2.4,-0.25) rectangle (6.6,0.25); + \node at (4.5,0) {Ellipse: $\overline{F_1P}+\overline{F_2P}=\text{const}$\strut}; \end{scope} |