Geometric Construction 15



Construct the osculating circle of an ellipse and a hyperbola when the foci are given.

Construct the osculating circle of a parabola when the focus is given.

Construct the osculating circle of an ellipse which is constructed according to the parametric equations.

Construct the osculating circle of the hyperbola which is constructed according to the parametric equations.

Construct a parabola according to this figure:
Form an animation of the osculating circle of the parabola by completing the above drawing.