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Self-Circumference of Rotors
(University of Texas at Arlington, 1996)
**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 ...
Minimum Path Problems in Normed Spaces, Reflection and Refraction
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: The main minimum (or extremum) path problem in this paper deals with the "law of refraction" at a curve separating the plane into two parts with different norms. ...