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Geometric Construction 8

Construct two identical cardioids each rotating about its cusp meeting
orthogonally on the line segment joining the cusps.

Let AB be a fixed diameter of a circle O. Through a variable point C on
O construct two cardioids with AB and BC as tangents and with the cusps
at the distance of 2AB apart.

Construct an animation displaying two nephroids meeting orthogonally on
a circle.

Construct an animation displaying a nephroid and a cardioid meeting orthogonally
on a circle.

Construct the tooth-wheel coupling between the deltoid and the 3-cusped
epicycloid.

Construct the tooth-wheel coupling between the deltoid and the cardioid.

Construct the tooth-wheel coupling between the deltoid and the nephroid.

Construct the tooth-wheel coupling between the deltoid and the astroid.

Construct the tooth-wheel coupling between the cardioid and the nephroid.

Construct the tooth-wheel coupling between the trochoids.