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. |