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@ -20,17 +20,14 @@
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\cfoot{}
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\cfoot{}
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% Für mathematische Befehle und Symbole
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% Für mathematische Befehle und Symbole
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\usepackage{amsmath,amsthm,amssymb}
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\usepackage{amsmath,amsthm,amssymb,gensymb}
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\usepackage{gensymb}
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% Für Bilder
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% Für Bilder
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\usepackage{graphicx,subcaption,float}
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\usepackage{graphicx,subcaption,float}
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% Für Skizzen
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\usepackage{tkz-euclide}
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\usepackage{tkz-euclide}
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\usetkzobj{all}
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\usetkzobj{all}
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% Für Algorithmen
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%\usepackage{algpseudocode}
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% Für Quelltext
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% Für Quelltext
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\usepackage{listings}
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\usepackage{listings}
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\usepackage{color}
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\usepackage{color}
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@ -162,14 +159,14 @@ Außerdem wird Lisa auf einer optimalen Route vor dem letzten Abschnitt immer vo
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\tkzDefPoint(2,4){L}
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\tkzDefPoint(2,4){L}
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\tkzDefPoint(0,4.36667){M}
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\tkzDefPoint(0,4.36667){M}
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\tkzMarkAngle[fill=orange,size=0.8cm,opacity=.4](B,M,L)
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\tkzDrawSegment(L,M)
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\tkzDrawSegment(L,M)
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\tkzDrawSegment(B,M)
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\tkzDrawSegment(B,M)
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\tkzDrawPoints(B,L,M)
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\tkzDrawPoints(B,L,M)
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\tkzMarkAngle[fill=orange,size=0.8cm,opacity=.4](B,M,L)
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\tkzLabelAngle[pos=0.5](B,M,L){$\alpha$}
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\tkzLabelAngle[pos=0.5](B,M,L){$\alpha$}
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\tkzLabelPoints[yshift=14pt](M)
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\tkzLabelPoints[yshift=14pt](M,B)
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\tkzLabelPoints(B,L)
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\tkzLabelPoints(L)
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\end{tikzpicture}
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\end{tikzpicture}
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\caption{$\alpha > 60\degree$}
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\caption{$\alpha > 60\degree$}
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\label{abb:winkel1}
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\label{abb:winkel1}
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@ -184,12 +181,13 @@ Außerdem wird Lisa auf einer optimalen Route vor dem letzten Abschnitt immer vo
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\tkzDefPoint(2,4){L}
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\tkzDefPoint(2,4){L}
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\tkzDefPoint(0,5.155){M}
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\tkzDefPoint(0,5.155){M}
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\tkzDrawTriangle[school](B,L)
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\tkzDrawSegment(L,M)
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\tkzDrawPoints(B,L,M)
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\tkzMarkAngle[fill=orange,size=0.8cm,opacity=.4](B,M,L)
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\tkzMarkAngle[fill=orange,size=0.8cm,opacity=.4](B,M,L)
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\tkzLabelAngle[pos=0.5](B,M,L){$\alpha$}
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\tkzDrawSegment(L,B)
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\tkzDrawSegment(B,M)
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\tkzDrawSegment(L,M)
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\tkzMarkRightAngle(M,L,B)
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\tkzMarkRightAngle(M,L,B)
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\tkzDrawPoints(B,L,M)
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\tkzLabelAngle[pos=0.5](B,M,L){$\alpha$}
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\tkzLabelPoints[yshift=14pt](M)
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\tkzLabelPoints[yshift=14pt](M)
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\tkzLabelPoints(B,L)
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\tkzLabelPoints(B,L)
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@ -207,14 +205,14 @@ Außerdem wird Lisa auf einer optimalen Route vor dem letzten Abschnitt immer vo
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\tkzDefPoint(2,4){L}
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\tkzDefPoint(2,4){L}
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\tkzDefPoint(0,6.1){M}
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\tkzDefPoint(0,6.1){M}
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\tkzMarkAngle[fill=orange,size=0.8cm,opacity=.4](B,M,L)
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\tkzDrawSegment(L,M)
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\tkzDrawSegment(L,M)
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\tkzDrawSegment(B,M)
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\tkzDrawSegment(B,M)
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\tkzDrawPoints(B,L,M)
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\tkzDrawPoints(B,L,M)
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\tkzMarkAngle[fill=orange,size=0.8cm,opacity=.4](B,M,L)
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\tkzLabelAngle[pos=0.5](B,M,L){$\alpha$}
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\tkzLabelAngle[pos=0.5](B,M,L){$\alpha$}
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\tkzLabelPoints[yshift=14pt](M)
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\tkzLabelPoints[yshift=14pt](M,B)
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\tkzLabelPoints(B,L)
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\tkzLabelPoints(L)
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\end{tikzpicture}
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\end{tikzpicture}
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\caption{$\alpha < 60\degree$}
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\caption{$\alpha < 60\degree$}
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\label{abb:winkel3}
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\label{abb:winkel3}
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