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C-time: 2026-01-11 12:37
modification date: 2026-01-11 12:37
tags:
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### [Roulette](https://en.wikipedia.org/wiki/Roulette_(curve))
![|300](https://upload.wikimedia.org/wikipedia/commons/6/69/Cycloid_f.gif)![|150](https://upload.wikimedia.org/wikipedia/commons/a/ae/EpitrochoidOn3-generation.gif)

#### [Spirograph](https://en.wikipedia.org/wiki/Spirograph)
![[Pasted image 20260111145651.png|300]]


#### [Hypocykloid](https://sv.wikipedia.org/wiki/Hypocykloid)
![|300](https://upload.wikimedia.org/wikipedia/commons/b/b5/Deltoid2.gif)

##### [Astroid](https://en.wikipedia.org/wiki/Astroid)
![|300](https://upload.wikimedia.org/wikipedia/commons/7/78/HypotrochoidOn4.gif)

#### [Epicykloid](https://sv.wikipedia.org/wiki/Epicykloid)
![[Pasted image 20260111145526.png]]


#### [Trochoid](https://en.wikipedia.org/wiki/Trochoid)
![|300](https://upload.wikimedia.org/wikipedia/commons/6/69/Cycloid_f.gif)



#### [Epitrochoid](https://en.wikipedia.org/wiki/Epitrochoid)
![|300](https://upload.wikimedia.org/wikipedia/commons/4/4b/TrohoidH1%2C25.gif)
![|300](https://upload.wikimedia.org/wikipedia/commons/2/20/EpitrochoidIn3.gif)

#### [Hypotrochoid](https://en.wikipedia.org/wiki/Hypotrochoid)
![|300](https://upload.wikimedia.org/wikipedia/commons/f/fa/HypotrochoidOutThreeFifths.gif)

#### [Involute](https://en.wikipedia.org/wiki/Involute)

Involute and evolute
![|200](https://upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Involute.gif/330px-Involute.gif)
Tractrix (red) as an involute of a catenary
![|200](https://upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Evolute2.gif/330px-Evolute2.gif)
The evolute of a tractrix is a catenary

## Läsning

- [[z.Calculus A Complete Course 10th.pdf#page=495|8.2 Parametric Curves]]