From 3d2cdfad7c0b1d0982ae4f20a099dd67183b3137 Mon Sep 17 00:00:00 2001 From: Florian Fischer Date: Fri, 16 Jun 2023 16:21:07 +0200 Subject: add my cavalieri lecture --- Mathe/10/5/CavalieriPrinzip/slides.md | 84 +++++++++++++++++++++++++++++++++++ 1 file changed, 84 insertions(+) create mode 100644 Mathe/10/5/CavalieriPrinzip/slides.md (limited to 'Mathe/10/5/CavalieriPrinzip/slides.md') 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} + +::::: +:::: -- cgit v1.2.3