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

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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.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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