Construct the osculating circle of an ellipse (hyperbola) following these
steps:
Suppose that the ellipse were constructed based on parametric equations. These
are the steps to construct its osculating circle:
Suppose that the hyperbola were constructed based on parametric equations.
These are the steps to construct its osculating circle:
Construct the osculating circle of the parabola.
Construct the animation showing the osculating circle of the astroid. Draw the
line segments joining a variable point of the astroid to its center of
curvature.
Do the same for the deltoid, the cardioid and the nephroid.
Construct the osculating circle of a trochoid. Show that the animation can be
reduced to the case of the cycloid.
