A line and two points not on the line are drawn in a plane. A smooth curve

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A line and two points not on the line are drawn in a plane. A smooth curve is drawn between the two points and then rotated about the given line. Find the shape of the curve that minimizes the area generated by the rotated curve. A lampshade manufacturer might use this result to minimize the material used to produce a lampshade of given upper and lower radii.

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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