Let E1 and E2 two ellipses. The area of ellipse E2 is one-third the area of quadrilateral formed by tangents at the ends of latus rectum of ellipse . E1, E2 and E3 are similar and concentric. E1 is inscribed in E2 in such a way that both E1, E2 touches each other and minor axis of E2 coincides with major axis of E1. If length of major axis of E1 is equal to length of minor axis of E2, then area of ellipse E2 outside the ellipse E1 is equal to
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