Construct the double generation of the astroid.

Construct the double generation of the cardioid.

Construct the double generation of the nephroid.

Construct the double generation of the rose curve of three leaves.

Construct the double generation of the trochoid (whose special case is the deltoid.)

Construct the osculating circle of the deltoid.

Construct the osculating circle of the astroid.

Construct the osculating circle of the cardioid.

Construct the osculating circle of the nephroid.

Construct the osculating circle of the rose curve of three leaves.

Construct the osculating circle of the trochoid (whose special case is the deltoid.)