Geometric Construction 2

From a point outside a given ellipse, construct the pair of tangents passing through the point. Also, construct the points of tangency.

Construct an animation displaying various rectangles tangent to a given ellipse.

Given two points on the same side of a straight line:
construct an ellipse tangent to the line having the two points as foci.

Given a point lying inside a triangle
construct an ellipse tangent to the three sides of the triangle having the given point as one focus.

Construct the ellipse passing through a given point with the two foci given.

Construct an animation displaying a pair of ellipses of the same size tangent to each other with one revolving around the other.

Modify the above animation so the points A, B are stationary while two ellipses are moving.