Mathematical Experiment 5


Construct an animation displaying the formation of the cardioid.

cardioid.mws

Construct an animation displaying the formation of the nephroid.

nephroid.mws

Construct an animation displaying the formation of the deltoid.

deltoid.mws

Construct an animation displaying the formation of the astroid.

astroid.mws

Construct an animation displaying the formation of the cycloid.

cycloid.mws

Construct an animation displaying the formation of the envelope by a fixed diameter of a circle rolling on a fixed circle of the same size.

roll-11.mws

Construct the animation displaying the pairs of orthogonal tangents and normals to a cardioid.

card-t-n.mws

Construct an animation displaying various ellipses tangent to an astroid.

ell-ast.mws

Construct an animation of the rose curve given in polar equation by
r = cos 7t/2 + cos s
lele 2pi
Here t is the parameter specifying the angle, while s is the time parameter.