Geometric Properties of the Cycloids

Construct the pair of orthogonal tangents of the cardioid.

Construct the cardioid sliding on a pair of perpendicular lines.

Construct the tangent to the deltoid lying within the curve.

Construct a cardioid "tangent" to a fixed deltoid at three collinear points.

Construct a deltoid sliding on a fixed cardioid.

Construct the pair of orthogonal tangents of the deltoid.

Construct the deltoid sliding on a pair of perpendicular lines.

Construct the deltoid sliding inside the astroid.

Construct the deltoid sliding inside the nephroid.

Construct the cardioid sliding inside the nephroid.

Construct this animation containing all the interesting epi- and hypocycloids.

Construct an animation displaying a cardioid sliding along three fixed concurrent lines meeting at 120 degrees.

Construct an animation of three concurrent tangents of the nephroid.

Construct an animation of three concurrent tangents of the astroid.

Construct an animation displaying an astroid sliding along three fixed concurrent lines meeting at 120 degrees.