Approximating the Length of Viviani's Curve

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The positive part of Viviani's curve is the intersection of the hemisphere , , and the cylinder . Using a partition of the circumference , we construct a polygon that approximates the length of the curve. The exact value is , where is the complete elliptic integral function.

Contributed by: Pablo Alberca Bjerregaard (University of Malaga, Spain) (March 2011)
Open content licensed under CC BY-NC-SA


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