Parametrisierung einer Kurve

 

[image] Definition

 

Eine stetige Funktion [image] heißt Weg in [image], ihr Wertebereich heißt Kurve

in [image] [image], t = Parameter.

 

 

[image]

 

[image]Anfang

[image]Ende

 

[image] Beispiele

 

[image]

 

Kreis

 

[image]

[image] denn [image]

 

[image]

 

Ellipse

 

[image]

[image]

 

[image]

 

Archimedische Spirale

 

[image]

[image]

 

[image]

 

Neilsche Parabel

 

[image]

[image]

 

[image]

 

Zykloide, rollender Kreis

 

[image]

[image]

 

[image]

 

 

Astroide, Kreis rollt im Kreis

 

[image]

 

[image]

 

[image]