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Self-Circumference of Rotors

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Self-Circumference of Rotors

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Title: Self-Circumference of Rotors
Author: O'Neill, Edward J.; Ghandehari, Mostafa
Abstract: The law of cosines from trigonometry is used to obtain elliptic integrals of the second kind to calculate the "self-circumference" of a Reuleaux triangle and the self-circumference of a rotor in an equilateral triangle. The Euclidean lengths of the polar duals of these sets with respect to their centers are expressed in terms of elliptic integrals of the second kind. Geometric inequalities for the polar duals of rotors in the plane are discussed.
URI: http://hdl.handle.net/10106/2397
Date: 1996

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