| Construct an animation showing the formation
of the deltoid |
 |
| Construct an animation showing the formation
of the nephroid |
 |
|
Construct an animation showing the formation of the cardioid |
 |
| Construct an animation showing the formation
of the Astroid |
 |
| Show how each of the four curves may be
generated in two ways |
 |
| Show how each of the four curves may be
generated in two ways |
 |
| Show how each of the four curves may be
generated in two ways |
 |
| Show how each of the four curves may be
generated in two ways |
 |
| Construct each of the four curves as the
envelope of its tangent |
 |
| Construct each of the four curves as the
envelope of its tangent |
 |
| Construct each of the four curves as the
envelope of its tangent |
 |
| Construct each of the four curves as the
envelope of its tangent |
 |
| Construct the osculating circle of each of
the four curves |
 |
| Show the trace of the osculating circle of
each of the four curves |
 |
| Construct the osculating circle of each of
the four curves |
 |
| Show the trace of the osculating circle of
each of the four curves |
 |
| Construct the osculating circle of each of
the four curves |
 |
| Show the trace of the osculating circle of
each of the four curves |
 |
| Construct the osculating circle of each of
the four curves |
 |
| Show the trace of the osculating circle of
each of the four curves |
 |
| Construct circles enveloping both the
deltoid and the 3-cusped epicycloid |
 |
| Construct circles enveloping both the
astroid and the 4-cusped epicycloid |
 |
| Construct this pattern |
 |