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authorFlorian Fischer <florian.fischer@muhq.space>2023-06-16 16:21:07 +0200
committerFlorian Fischer <florian.fischer@muhq.space>2023-06-16 16:21:07 +0200
commit3d2cdfad7c0b1d0982ae4f20a099dd67183b3137 (patch)
treefd7b62c0d744a371db637ee3b0a5da6234eb4ef6 /Mathe/10/5/CavalieriPrinzip
parentd42a9629d217b355ce87434647f78f7784e0a198 (diff)
downloadunterricht-3d2cdfad7c0b1d0982ae4f20a099dd67183b3137.tar.gz
unterricht-3d2cdfad7c0b1d0982ae4f20a099dd67183b3137.zip
add my cavalieri lecture
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-rw-r--r--Mathe/10/5/CavalieriPrinzip/pa_rotating_tower.tex12
-rw-r--r--Mathe/10/5/CavalieriPrinzip/slides.md84
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+slides.pptx
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+\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}
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+\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
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+---
+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}
+
+:::::
+::::