Cardioid
Cardioid |
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Cardioid
- The Cardioid an epicycloid with one cusp.
Basic Description
The image is formed by tracing a point on the circumference of a circle of radius , without slipping, on another stationery circle, as in the image below
.
A More Mathematical Explanation
The curve is given by:
- Cartesian equation , where '"`UNIQ--math-00 [...]
The curve is given by:
- Cartesian equation , where is the radius of the moving circle.
- Polar equation
- Parametric equations
Properties
- It has a cusp at the origin.
Teaching Materials
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[[Description::The Cardioid an epicycloid with one cusp.|]]