fix some bugs

15 files changed, 466 insertions, 0 deletions

diff --git a/buch/papers/nav/images/Makefile b/buch/papers/nav/images/Makefile
index a0d7b34..0c1cbc3 100644
--- a/buch/papers/nav/images/Makefile
+++ b/buch/papers/nav/images/Makefile
@@ -3,9 +3,42 @@
 #
 # (c) 2022
 #
+all:	dreiecke
 
 dreieck.pdf:	dreieck.tex dreieckdata.tex macros.tex
 	pdflatex dreieck.tex
 
 dreieckdata.tex:	pk.m
 	octave pk.m
+
+DREIECKE = 								\
+	dreieck1.pdf 							\
+	dreieck2.pdf 							\
+	dreieck3.pdf 							\
+	dreieck4.pdf							\
+	dreieck5.pdf 							\
+	dreieck6.pdf 							\
+	dreieck7.pdf
+
+dreiecke:	$(DREIECKE)
+
+dreieck1.pdf:	dreieck1.tex dreieckdata.tex macros.tex
+	pdflatex dreieck1.tex
+
+dreieck2.pdf:	dreieck2.tex dreieckdata.tex macros.tex
+	pdflatex dreieck2.tex
+
+dreieck3.pdf:	dreieck3.tex dreieckdata.tex macros.tex
+	pdflatex dreieck3.tex
+
+dreieck4.pdf:	dreieck4.tex dreieckdata.tex macros.tex
+	pdflatex dreieck4.tex
+
+dreieck5.pdf:	dreieck5.tex dreieckdata.tex macros.tex
+	pdflatex dreieck5.tex
+
+dreieck6.pdf:	dreieck6.tex dreieckdata.tex macros.tex
+	pdflatex dreieck6.tex
+
+dreieck7.pdf:	dreieck7.tex dreieckdata.tex macros.tex
+	pdflatex dreieck7.tex
diff --git a/buch/papers/nav/images/dreieck1.pdf b/buch/papers/nav/images/dreieck1.pdf
new file mode 100644
index 0000000..5bdf23d
--- /dev/null
+++ b/buch/papers/nav/images/dreieck1.pdf
diff --git a/buch/papers/nav/images/dreieck1.tex b/buch/papers/nav/images/dreieck1.tex
new file mode 100644
index 0000000..436314c
--- /dev/null
+++ b/buch/papers/nav/images/dreieck1.tex
@@ -0,0 +1,59 @@
+%
+% dreieck.tex -- sphärische Dreiecke für Positionsbestimmung
+%
+% (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}
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\skala{1}
+
+\def\punkt#1#2{
+	\fill[color=#2] #1 circle[radius=0.08];
+}
+
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\input{dreieckdata.tex}
+\input{macros.tex}
+
+\winkelAlpha{red}
+\winkelGamma{blue}
+\winkelBeta{darkgreen}
+
+\seiteC{black}
+\seiteB{black}
+\seiteA{black}
+
+%\seiteL{gray}
+\seitePB{gray}
+\seitePC{gray}
+
+\draw[line width=1.4pt] \kanteAB;
+\draw[line width=1.4pt] \kanteAC;
+%\draw[color=gray] \kanteAP;
+\draw[line width=1.4pt] \kanteBC;
+\draw[color=gray] \kanteBP;
+\draw[color=gray] \kanteCP;
+
+\punkt{(A)}{black};
+\punkt{(B)}{black};
+\punkt{(C)}{black};
+\punkt{(P)}{gray};
+
+\node at (A) [above] {$A$};
+\node at (B) [left] {$B$};
+\node at (C) [right] {$C$};
+\node[color=gray] at (P) [below] {$P$};
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/papers/nav/images/dreieck2.pdf b/buch/papers/nav/images/dreieck2.pdf
new file mode 100644
index 0000000..a872b25
--- /dev/null
+++ b/buch/papers/nav/images/dreieck2.pdf
diff --git a/buch/papers/nav/images/dreieck2.tex b/buch/papers/nav/images/dreieck2.tex
new file mode 100644
index 0000000..99aabb7
--- /dev/null
+++ b/buch/papers/nav/images/dreieck2.tex
@@ -0,0 +1,59 @@
+%
+% dreieck2.tex -- sphärische Dreiecke für Positionsbestimmung
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math,calc}
+\begin{document}
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\skala{1}
+
+\def\punkt#1#2{
+	\fill[color=#2] #1 circle[radius=0.08];
+}
+
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\input{dreieckdata.tex}
+\input{macros.tex}
+
+%\winkelAlpha{red}
+%\winkelGamma{blue}
+%\winkelBeta{darkgreen}
+
+\seiteC{black}
+\seiteB{black}
+%\seiteA{black}
+
+%\seiteL{gray}
+\seitePB{gray}
+\seitePC{gray}
+
+\draw[line width=1.4pt] \kanteAB;
+\draw[line width=1.4pt] \kanteAC;
+%\draw[color=gray] \kanteAP;
+\draw[line width=1.4pt] \kanteBC;
+\draw[color=gray] \kanteBP;
+\draw[color=gray] \kanteCP;
+
+\punkt{(A)}{black};
+\punkt{(B)}{black};
+\punkt{(C)}{black};
+\punkt{(P)}{gray};
+
+\node at (A) [above] {$A$};
+\node at (B) [left] {$B$};
+\node at (C) [right] {$C$};
+\node[color=gray] at (P) [below] {$P$};
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/papers/nav/images/dreieck3.pdf b/buch/papers/nav/images/dreieck3.pdf
new file mode 100644
index 0000000..65070c6
--- /dev/null
+++ b/buch/papers/nav/images/dreieck3.pdf
diff --git a/buch/papers/nav/images/dreieck3.tex b/buch/papers/nav/images/dreieck3.tex
new file mode 100644
index 0000000..0cf5363
--- /dev/null
+++ b/buch/papers/nav/images/dreieck3.tex
@@ -0,0 +1,59 @@
+%
+% dreieck.tex -- sphärische Dreiecke für Positionsbestimmung
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math,calc}
+\begin{document}
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\skala{1}
+
+\def\punkt#1#2{
+	\fill[color=#2] #1 circle[radius=0.08];
+}
+
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\input{dreieckdata.tex}
+\input{macros.tex}
+
+\winkelAlpha{red}
+%\winkelGamma{blue}
+%\winkelBeta{darkgreen}
+
+\seiteC{black}
+\seiteB{black}
+%\seiteA{black}
+
+%\seiteL{gray}
+\seitePB{gray}
+\seitePC{gray}
+
+\draw[line width=1.4pt] \kanteAB;
+\draw[line width=1.4pt] \kanteAC;
+%\draw[color=gray] \kanteAP;
+\draw[line width=1.4pt] \kanteBC;
+\draw[color=gray] \kanteBP;
+\draw[color=gray] \kanteCP;
+
+\punkt{(A)}{black};
+\punkt{(B)}{black};
+\punkt{(C)}{black};
+\punkt{(P)}{gray};
+
+\node at (A) [above] {$A$};
+\node at (B) [left] {$B$};
+\node at (C) [right] {$C$};
+\node[color=gray] at (P) [below] {$P$};
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/papers/nav/images/dreieck4.pdf b/buch/papers/nav/images/dreieck4.pdf
new file mode 100644
index 0000000..4871a1e
--- /dev/null
+++ b/buch/papers/nav/images/dreieck4.pdf
diff --git a/buch/papers/nav/images/dreieck4.tex b/buch/papers/nav/images/dreieck4.tex
new file mode 100644
index 0000000..19a7d12
--- /dev/null
+++ b/buch/papers/nav/images/dreieck4.tex
@@ -0,0 +1,64 @@
+%
+% dreieck4.tex -- sphärische Dreiecke für Positionsbestimmung
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math,calc}
+\begin{document}
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\skala{1}
+
+\def\punkt#1#2{
+	\fill[color=#2] #1 circle[radius=0.08];
+}
+
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\input{dreieckdata.tex}
+\input{macros.tex}
+
+%\winkelKappa{gray}
+
+%\winkelAlpha{red}
+%\winkelGamma{blue}
+%\winkelBeta{darkgreen}
+
+%\winkelOmega{gray}
+\winkelBetaEins{brown}
+
+%\seiteC{gray}
+%\seiteB{gray}
+%\seiteL{gray}
+
+\seiteA{black}
+\seitePB{black}
+\seitePC{black}
+
+\draw[color=gray] \kanteAB;
+\draw[color=gray] \kanteAC;
+%\draw[color=gray] \kanteAP;
+\draw[color=black,line width=1.4pt] \kanteBC;
+\draw[color=black,line width=1.4pt] \kanteBP;
+\draw[color=black,line width=1.4pt] \kanteCP;
+
+\punkt{(A)}{gray};
+\punkt{(B)}{black};
+\punkt{(C)}{black};
+\punkt{(P)}{black};
+
+\node[color=gray] at (A) [above] {$A$};
+\node at (B) [left] {$B$};
+\node at (C) [right] {$C$};
+\node at (P) [below] {$P$};
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/papers/nav/images/dreieck5.pdf b/buch/papers/nav/images/dreieck5.pdf
new file mode 100644
index 0000000..cf686e0
--- /dev/null
+++ b/buch/papers/nav/images/dreieck5.pdf
diff --git a/buch/papers/nav/images/dreieck5.tex b/buch/papers/nav/images/dreieck5.tex
new file mode 100644
index 0000000..d1117d1
--- /dev/null
+++ b/buch/papers/nav/images/dreieck5.tex
@@ -0,0 +1,64 @@
+%
+% dreieck4.tex -- sphärische Dreiecke für Positionsbestimmung
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math,calc}
+\begin{document}
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\skala{1}
+
+\def\punkt#1#2{
+	\fill[color=#2] #1 circle[radius=0.08];
+}
+
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\input{dreieckdata.tex}
+\input{macros.tex}
+
+%\winkelKappa{gray}
+
+%\winkelAlpha{red}
+%\winkelGamma{blue}
+%\winkelBeta{darkgreen}
+
+%\winkelOmega{gray}
+%\winkelBetaEins{brown}
+
+%\seiteC{gray}
+%\seiteB{gray}
+%\seiteL{gray}
+
+%\seiteA{black}
+\seitePB{black}
+\seitePC{black}
+
+\draw[color=gray] \kanteAB;
+\draw[color=gray] \kanteAC;
+%\draw[color=gray] \kanteAP;
+\draw[color=black,line width=1.4pt] \kanteBC;
+\draw[color=black,line width=1.4pt] \kanteBP;
+\draw[color=black,line width=1.4pt] \kanteCP;
+
+\punkt{(A)}{gray};
+\punkt{(B)}{black};
+\punkt{(C)}{black};
+\punkt{(P)}{black};
+
+\node[color=gray] at (A) [above] {$A$};
+\node at (B) [left] {$B$};
+\node at (C) [right] {$C$};
+\node at (P) [below] {$P$};
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/papers/nav/images/dreieck6.pdf b/buch/papers/nav/images/dreieck6.pdf
new file mode 100644
index 0000000..7efd673
--- /dev/null
+++ b/buch/papers/nav/images/dreieck6.pdf
diff --git a/buch/papers/nav/images/dreieck6.tex b/buch/papers/nav/images/dreieck6.tex
new file mode 100644
index 0000000..87db1c2
--- /dev/null
+++ b/buch/papers/nav/images/dreieck6.tex
@@ -0,0 +1,64 @@
+%
+% dreieck6.tex -- sphärische Dreiecke für Positionsbestimmung
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math,calc}
+\begin{document}
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\skala{1}
+
+\def\punkt#1#2{
+	\fill[color=#2] #1 circle[radius=0.08];
+}
+
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\input{dreieckdata.tex}
+\input{macros.tex}
+
+\winkelKappa{gray}
+
+%\winkelAlpha{red}
+%\winkelGamma{blue}
+%\winkelBeta{darkgreen}
+
+%\winkelOmega{gray}
+%\winkelBetaEins{brown}
+
+\seiteC{black}
+\seiteB{black}
+%\seiteA{gray}
+
+\seiteL{black}
+\seitePB{black}
+\seitePC{black}
+
+\draw[color=black,line width=1.4pt] \kanteAB;
+\draw[color=black,line width=1.4pt] \kanteAC;
+\draw[color=black,line width=1.4pt] \kanteAP;
+%\draw[color=gray] \kanteBC;
+\draw[color=black,line width=1.4pt] \kanteBP;
+\draw[color=black,line width=1.4pt] \kanteCP;
+
+\punkt{(A)}{black};
+\punkt{(B)}{black};
+\punkt{(C)}{black};
+\punkt{(P)}{black};
+
+\node at (A) [above] {$A$};
+\node at (B) [left] {$B$};
+\node at (C) [right] {$C$};
+\node at (P) [below] {$P$};
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/papers/nav/images/dreieck7.pdf b/buch/papers/nav/images/dreieck7.pdf
new file mode 100644
index 0000000..aa83e28
--- /dev/null
+++ b/buch/papers/nav/images/dreieck7.pdf
diff --git a/buch/papers/nav/images/dreieck7.tex b/buch/papers/nav/images/dreieck7.tex
new file mode 100644
index 0000000..f084708
--- /dev/null
+++ b/buch/papers/nav/images/dreieck7.tex
@@ -0,0 +1,64 @@
+%
+% dreieck.tex -- sphärische Dreiecke für Positionsbestimmung
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math,calc}
+\begin{document}
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\skala{1}
+
+\def\punkt#1#2{
+	\fill[color=#2] #1 circle[radius=0.08];
+}
+
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\input{dreieckdata.tex}
+\input{macros.tex}
+
+%\winkelKappa{gray}
+
+%\winkelAlpha{red}
+%\winkelGamma{blue}
+%\winkelBeta{darkgreen}
+
+\winkelOmega{gray}
+%\winkelBetaEins{brown}
+
+\seiteC{black}
+\seiteB{black}
+\seiteA{gray}
+
+\seiteL{black}
+\seitePB{gray}
+\seitePC{black}
+
+\draw[color=gray] \kanteAB;
+\draw[color=black,line width=1.4pt] \kanteAC;
+\draw[color=black,line width=1.4pt] \kanteAP;
+\draw[color=gray] \kanteBC;
+\draw[color=gray] \kanteBP;
+\draw[line width=1.4pt] \kanteCP;
+
+\punkt{(A)}{black};
+\punkt{(B)}{gray};
+\punkt{(C)}{black};
+\punkt{(P)}{black};
+
+\node at (A) [above] {$A$};
+\node[color=gray] at (B) [left] {$B$};
+\node at (C) [right] {$C$};
+\node at (P) [below] {$P$};
+
+\end{tikzpicture}
+\end{document}
+