Exploring Conics 2 Ellipse Hyperbola
Drag point C around the circle. What shape is traced out?
Reset the drawing and move F2 outside the circle. Drag C around the circle. What shape is traced now?
Recall the definition of an ellipse is the set of points such that the sum of its distances from two other points (the foci) is constant.
Explain why the point E satisfies this definition.