The Cardioid

This film illustrates the properties of the cardioid which are connected with its
generation as a one-cusped epicycloid. These properties are of wide importance as,
suitably interpreted, they are general properties of all epicycloids. It is, therefore,
possible to comment on the film at many levels, and as it becomes increasingly familiar
a viewer will wish- to focus his attention on different things on different occasions.

A guiding question might be: Why do these different constructions for the cardioid all produce the same curve?

Ive been surprised at how easy the Cabri conctructions are. The rolling circles are a bit of a fake, but are totally convincing on the screen.

Category:

Education

Tags:

• cardioid
• trevor
• fletcher
• association
• teachers
• mathematics
• pedal
• curve