Question: The eccentricity of a conic section is defined in Section 11.5. Show that the horizontal traces of the ellipsoid are ellipses of the same eccentricity

The eccentricity of a conic section is defined in Section 11.5. Show that the horizontal traces of the ellipsoid

() - + b. 2 + () = 1

are ellipses of the same eccentricity (apart from the traces at height h = ±c, which reduce to a single point). Find the eccentricity.

() - + b. 2 + () = 1

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