Self-Circumference of Rotors

dc.contributor.author	O'Neill, Edward J.	en
dc.contributor.author	Ghandehari, Mostafa	en
dc.date.accessioned	2010-06-08T18:34:25Z	en
dc.date.available	2010-06-08T18:34:25Z	en
dc.date.issued	1996	en
dc.identifier.uri	http://hdl.handle.net/10106/2397	en
dc.description.abstract	Please note that the full text is embargoed 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.	en
dc.language.iso	en_US	en
dc.publisher	University of Texas at Arlington	en
dc.relation.ispartofseries	Technical Report;313	en
dc.subject	Elliptic integrals of the second kind	en
dc.subject	Reuleaux triangle	en
dc.subject	Elliptic integrals of the second kind	en
dc.subject	Rotors	en
dc.subject	Elliptic functions	en
dc.subject.lcsh	Mathematics Research	en
dc.title	Self-Circumference of Rotors	en
dc.type	Technical Report	en
dc.publisher.department	Department of Mathematics	en