diff options
Diffstat (limited to '')
| -rw-r--r-- | buch/chapters/030-geometrie/images/Makefile | 8 | ||||
| -rw-r--r-- | buch/chapters/030-geometrie/images/ellipse.pdf | bin | 0 -> 23627 bytes | |||
| -rw-r--r-- | buch/chapters/030-geometrie/images/ellipse.tex | 81 | ||||
| -rw-r--r-- | buch/chapters/030-geometrie/images/kegelschnitte.pdf | bin | 194994 -> 194994 bytes | |||
| -rw-r--r-- | buch/chapters/030-geometrie/images/parabel.pdf | bin | 0 -> 18561 bytes | |||
| -rw-r--r-- | buch/chapters/030-geometrie/images/parabel.tex | 59 | ||||
| -rw-r--r-- | buch/chapters/030-geometrie/images/zylinder.pdf | bin | 165606 -> 165606 bytes |
7 files changed, 148 insertions, 0 deletions
diff --git a/buch/chapters/030-geometrie/images/Makefile b/buch/chapters/030-geometrie/images/Makefile index 457a0a1..af652ab 100644 --- a/buch/chapters/030-geometrie/images/Makefile +++ b/buch/chapters/030-geometrie/images/Makefile @@ -7,9 +7,11 @@ all: \ deftrig.pdf \ einheitskreis.pdf \ + ellipse.pdf \ hyperbelflaeche.pdf \ hyperbel.pdf \ kegelschnitte.pdf \ + parabel.pdf \ polargleichung.pdf \ zylinder.pdf @@ -19,12 +21,18 @@ deftrig.pdf: deftrig.tex einheitskreis.pdf: einheitskreis.tex pdflatex einheitskreis.tex +ellipse.pdf: ellipse.tex + pdflatex ellipse.tex + hyperbelflaeche.pdf: hyperbelflaeche.tex pdflatex hyperbelflaeche.tex hyperbel.pdf: hyperbel.tex pdflatex hyperbel.tex +parabel.pdf: parabel.tex + pdflatex parabel.tex + polargleichung.pdf: polargleichung.tex pdflatex polargleichung.tex diff --git a/buch/chapters/030-geometrie/images/ellipse.pdf b/buch/chapters/030-geometrie/images/ellipse.pdf Binary files differnew file mode 100644 index 0000000..ee4717c --- /dev/null +++ b/buch/chapters/030-geometrie/images/ellipse.pdf diff --git a/buch/chapters/030-geometrie/images/ellipse.tex b/buch/chapters/030-geometrie/images/ellipse.tex new file mode 100644 index 0000000..b1d9d9a --- /dev/null +++ b/buch/chapters/030-geometrie/images/ellipse.tex @@ -0,0 +1,81 @@ +% +% ellipse.tex -- Geometrie einer Ellipse +% +% (c) 2022 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} +\definecolor{darkgreen}{rgb}{0,0.6,0} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +\def\e{3} + +\begin{scope} +\clip (-6.3,-5.5) rectangle (6.3,5.5); +\foreach \s in {7,8,9,11,12,13,14,15,16}{ + %\def\s{9} + \pgfmathparse{\s/2} + \xdef\a{\pgfmathresult} + \pgfmathparse{sqrt(\a*\a-\e*\e)} + \xdef\b{\pgfmathresult} + \draw[color=red!30,line width=1.4pt] + plot[domain=0:360,samples=100] + ({\a*cos(\x)},{\b*sin(\x)}); +} +\end{scope} + +\coordinate (O) at (0,0); +\coordinate (F1) at (3,0); +\coordinate (F2) at (-3,0); +\coordinate (A) at (5,0); +\coordinate (Aminus) at (-5,0); +\coordinate (B) at (0,4); + +\def\winkel{140} +\pgfmathparse{5*cos(\winkel)} +\xdef\Px{\pgfmathresult} +\pgfmathparse{4*sin(\winkel)} +\xdef\Py{\pgfmathresult} +\coordinate (P) at (\Px,\Py); + +\draw[->] (-6.3,0) -- (6.5,0) coordinate[label={$x$}]; +\draw[->] (0,-5.6) -- (0,5.8) coordinate[label={right:$y$}]; + +\draw[color=blue,line width=1pt] (0,0) -- (0,4); +\draw[color=blue,line width=1pt] (0,0) -- (3,0); +\draw[color=blue,line width=1pt] (0,4) -- (3,0); + +\draw[color=red,line width=1.4pt] + plot[domain=0:360,samples=100] + ({5*cos(\x)},{4*sin(\x)}); + +\node[color=blue] at ($0.5*(O)+0.5*(F1)$) [above] {$e$}; +\node[color=blue] at ($0.5*(O)+0.5*(B)$) [left] {$b$}; +\node[color=blue] at ($0.5*(F1)+0.5*(B)$) [above right] {$a$}; + +\fill[color=darkgreen] (P) circle[radius=0.08]; +\node[color=darkgreen] at (P) [above left] {$P$}; +\draw[color=darkgreen,line width=1.4pt] (F1) -- (P) -- (F2); +\node[color=darkgreen] at ($0.55*(P)+0.45*(F1)$) [below] {$\overline{F_1P}$}; +\node[color=darkgreen] at ($0.50*(P)+0.50*(F2)$) [left] {$\overline{F_2P}$}; + +\fill[color=red] (A) circle[radius=0.08]; +\node[color=red] at (A) [above right] {$A_+$}; +\fill[color=red] (Aminus) circle[radius=0.08]; +\node[color=red] at (Aminus) [above left] {$A_-$}; + +\fill[color=blue] (F1) circle[radius=0.08]; +\fill[color=blue] (F2) circle[radius=0.08]; +\node at (F1) [below right] {$F_1$}; +\node at (F2) [below left] {$F_2$}; + +\end{tikzpicture} +\end{document} + diff --git a/buch/chapters/030-geometrie/images/kegelschnitte.pdf b/buch/chapters/030-geometrie/images/kegelschnitte.pdf Binary files differindex c2205bf..40a830b 100644 --- a/buch/chapters/030-geometrie/images/kegelschnitte.pdf +++ b/buch/chapters/030-geometrie/images/kegelschnitte.pdf diff --git a/buch/chapters/030-geometrie/images/parabel.pdf b/buch/chapters/030-geometrie/images/parabel.pdf Binary files differnew file mode 100644 index 0000000..76d682e --- /dev/null +++ b/buch/chapters/030-geometrie/images/parabel.pdf diff --git a/buch/chapters/030-geometrie/images/parabel.tex b/buch/chapters/030-geometrie/images/parabel.tex new file mode 100644 index 0000000..c6eb700 --- /dev/null +++ b/buch/chapters/030-geometrie/images/parabel.tex @@ -0,0 +1,59 @@ +% +% parabel.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,calc} +\begin{document} +\def\skala{1} +\definecolor{darkgreen}{rgb}{0,0.6,0} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +\def\f{2.0} +\def\X{2.7} +\coordinate (F) at (0,\f); + +\begin{scope} + \clip (-6.1,-1) rectangle (6.1,4.6); + \foreach \x in {-5.5,-5,...,6}{ + \draw[color=gray!30,line width=1pt] + (\x,4.7) -- (\x,{\x*\x/(4*\f)}); + \draw[color=gray!50,line width=1pt] + (\x,{\x*\x/(4*\f)}) -- (F); + } +\end{scope} + +\draw[->] (-6.1,0) -- (6.4,0) coordinate[label={$x$}]; +\draw[->] (0,-2.3) -- (0,4.8) coordinate[label={right:$y$}]; + +\begin{scope} + \clip (-6.05,-1) rectangle (6.05,4.6); + \draw[color=red,line width=2pt] + plot[domain=-6.2:6.2,samples=100] ({\x},{\x*\x/(4*\f)}); +\end{scope} + +\fill[color=darkgreen] (\X,{\X*\X/(4*\f)}) circle[radius=0.08]; +\draw[color=darkgreen,line width=1pt] (F) -- (\X,{\X*\X/(4*\f)}) -- (\X,-\f); +\node[color=darkgreen] at (\X,{\X*\X/(4*\f)}) + [below right] {$P{\color{black}\mathstrut=(x,y)}$}; + +\node[color=darkgreen] at (\X,{0.5*(-\f+\X*\X/(4*\f))}) + [right] {$\overline{Pl}{\color{black}\mathstrut=y+f}$}; +\node[color=darkgreen] at ($0.8*(F)+0.2*(\X,{\X*\X/(4*\f)})+(0,-0.2)$) + [above right] + {$\overline{PF}{\color{black}\mathstrut=\sqrt{x^2+(y-f)^2}}$}; + +\node at (F) [above left] {${\color{blue}F}=(0,f)$}; +\draw[color=blue,line width=1pt] (-6,-\f) -- (6,-\f); +\fill[color=blue] (F) circle[radius=0.08]; +\node[color=blue] at (-4,-\f) [above] {$l$}; + +\end{tikzpicture} +\end{document} + diff --git a/buch/chapters/030-geometrie/images/zylinder.pdf b/buch/chapters/030-geometrie/images/zylinder.pdf Binary files differindex 2e73d80..2580050 100644 --- a/buch/chapters/030-geometrie/images/zylinder.pdf +++ b/buch/chapters/030-geometrie/images/zylinder.pdf |