The eccentricity e of an ellipse is defined as the number c/a where a is the distance
Question:
The eccentricity e of an ellipse is defined as the number c/a where a is the distance of a vertex from the center and c is the distance of a focus from the center. Because a > c, it follows that e < 1. Write a brief paragraph about the general shape of each of the following ellipses. Be sure to justify your conclusions.
(a) Eccentricity close to 0
(b) Eccentricity = 0.5
(c) Eccentricity close to 1
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