13 files changed, 105 insertions, 0 deletions

diff --git a/Mathe/10/5/CavalieriPrinzip/.gitignore b/Mathe/10/5/CavalieriPrinzip/.gitignore
new file mode 100644
index 00000000..4887513a
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/.gitignore
@@ -0,0 +1 @@
+slides.pptx
diff --git a/Mathe/10/5/CavalieriPrinzip/idw_cavalerie_anwendbarkeit.pdf b/Mathe/10/5/CavalieriPrinzip/idw_cavalerie_anwendbarkeit.pdf
new file mode 100644
index 00000000..ade58695
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/idw_cavalerie_anwendbarkeit.pdf
diff --git a/Mathe/10/5/CavalieriPrinzip/idw_cavalerie_anwendbarkeit.tex b/Mathe/10/5/CavalieriPrinzip/idw_cavalerie_anwendbarkeit.tex
new file mode 100644
index 00000000..de9e8d41
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/idw_cavalerie_anwendbarkeit.tex
@@ -0,0 +1,8 @@
+\documentclass{arbeitsauftrag}
+\begin{document}
+\underline{\textbf{Arbeitsauftrag:}}
+\begin{tabular}{l l l}
+Think \faIcon[regular]{lightbulb} & Pair \faIcon{hands-helping} & Share \faIcon{share-alt} \\
+1min  & 1min & \\
+\end{tabular}
+\end{document}
diff --git a/Mathe/10/5/CavalieriPrinzip/img/building-blocks.png b/Mathe/10/5/CavalieriPrinzip/img/building-blocks.png
new file mode 100644
index 00000000..b181ceed
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/img/building-blocks.png
diff --git a/Mathe/10/5/CavalieriPrinzip/img/cavalieri.jpg b/Mathe/10/5/CavalieriPrinzip/img/cavalieri.jpg
new file mode 100644
index 00000000..1745817f
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/img/cavalieri.jpg
diff --git a/Mathe/10/5/CavalieriPrinzip/img/cone.png b/Mathe/10/5/CavalieriPrinzip/img/cone.png
new file mode 100644
index 00000000..6e3378cb
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/img/cone.png
diff --git a/Mathe/10/5/CavalieriPrinzip/img/cylinder.png b/Mathe/10/5/CavalieriPrinzip/img/cylinder.png
new file mode 100644
index 00000000..2cd5e794
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/img/cylinder.png
diff --git a/Mathe/10/5/CavalieriPrinzip/img/pyramids.png b/Mathe/10/5/CavalieriPrinzip/img/pyramids.png
new file mode 100644
index 00000000..cd93089a
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/img/pyramids.png
diff --git a/Mathe/10/5/CavalieriPrinzip/img/rotating_tower.jpg b/Mathe/10/5/CavalieriPrinzip/img/rotating_tower.jpg
new file mode 100644
index 00000000..418a7798
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/img/rotating_tower.jpg
diff --git a/Mathe/10/5/CavalieriPrinzip/img/turm_pisa.jpg b/Mathe/10/5/CavalieriPrinzip/img/turm_pisa.jpg
new file mode 100644
index 00000000..d8f3a366
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/img/turm_pisa.jpg
diff --git a/Mathe/10/5/CavalieriPrinzip/pa_rotating_tower.pdf b/Mathe/10/5/CavalieriPrinzip/pa_rotating_tower.pdf
new file mode 100644
index 00000000..239d2afb
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/pa_rotating_tower.pdf
diff --git a/Mathe/10/5/CavalieriPrinzip/pa_rotating_tower.tex b/Mathe/10/5/CavalieriPrinzip/pa_rotating_tower.tex
new file mode 100644
index 00000000..a166bbb8
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/pa_rotating_tower.tex
@@ -0,0 +1,12 @@
+\documentclass{arbeitsauftrag}
+\begin{document}
+\underline{\textbf{Arbeitsauftrag:}} Pair \faIcon{hands-helping} 
+
+Berechnen sie das Volumen des Rotating Tower unter der Annahme das seine Grundfläche quadratisch ist.
+
+\begin{itemize}
+  \item Höhe 420m
+  \item Fläche der untersten Etage: $900m^2$
+  \item Fläche der obersten Etage: $400m^2$
+\end{itemize}
+\end{document}
diff --git a/Mathe/10/5/CavalieriPrinzip/slides.md b/Mathe/10/5/CavalieriPrinzip/slides.md
new file mode 100644
index 00000000..242da8a6
--- /dev/null
+++ b/Mathe/10/5/CavalieriPrinzip/slides.md
@@ -0,0 +1,84 @@
+---
+author: Florian Fischer
+aspectratio: 169
+header-includes: |
+    \usepackage[school]{pgf-umlcd}
+    \usepackage{unicode-math}
+    \usepackage{tikz}
+    \usetikzlibrary{calc}
+---
+
+
+## Was wir können
+
+:::: columns
+::::: {.column width=50%}
+![](img/cylinder.png){.center height=70%}
+:::::
+::::: {.column width=50%}
+\vspace{2cm}
+\pause
+> - $V = G\cdot h = \pi r^2 \cdot h$
+> - $O = 2\cdot G + M = 2\pi r^2 + 2\pi \cdot r \cdot h$
+:::::
+::::
+
+## Was wir können
+
+![](img/pyramids.png){.center height=70%}
+
+## Was wir können
+
+![](img/pyramids.png){.center height=50%}
+
+> - $V = \frac{1}{3} \cdot G \cdot h$
+> - $O = G + M$
+
+## Was wir können
+
+:::: columns
+::::: {.column width=50%}
+![](img/cone.png){.center height=70%}
+:::::
+::::: {.column width=50%}
+\vspace{2cm}
+\pause
+> - $V = \frac{1}{3} \cdot G \cdot h = \pi r^2 \cdot h$
+> - $O = G + M = \pi \cdot r \cdot (r + s)$
+:::::
+::::
+
+## Was wir können
+
+![](img/building-blocks.png){.center height=70%}
+
+## Realität
+
+:::: columns
+::::: {.column width=50%}
+![](img/turm_pisa.jpg){.center height=80%}
+:::::
+::::: {.column width=50%}
+\pause
+**Oder**:  
+![](img/rotating_tower.jpg){.center height=80%}
+:::::
+::::
+
+## Na Na Na Na Na Na CAVALIERI!
+
+:::: columns
+::::: {.column width=50%}
+![](img/cavalieri.jpg){.center height=60%}
+
+:::::
+::::: {.column width=60%}
+
+\vspace{2cm}
+* Bonaventura Cavalieri
+* Jesuit aus dem 16.-17. Jahrhundert
+* Mathematiker und Astronom
+* \textcolor{red}{Prinzip des Cavalieri}
+
+:::::
+::::