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| Minimize the chord length (Posted on 2019-09-27) |
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Let a and b be the lengths of the semi-major and semi-minor axes of an ellipse, respectively and let e be the eccentricity of the ellipse.
Consider a chord of the ellipse which is also a normal to the ellipse. Denote l as the minimum possible length of such chord.
Find the length of the chord in terms of a and b.
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