Mathe/10/5/CavalieriPrinzip/slides.md


1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79

---
author: Florian Fischer
aspectratio: 169
---


## 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}

:::::
::::