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RESEARCH PAPERS: Mechanisms Papers

On the Smallest Circle Determined by Three Positions of a Rigid Body

[+] Author and Article Information
O. Bottema

University of Delft, Delft, The Netherlands

T. Koetsier, B. Roth

Stanford University, Stanford, Calif.

J. Eng. Ind 93(1), 328-332 (Feb 01, 1971) (5 pages) doi:10.1115/1.3427901 History: Received July 07, 1970; Online July 15, 2010

Abstract

Three finitely separated positions of a rigid body determine circles which pass through the three homologous positions of each point. In this paper we determine the points in the body for which the radii of the associated circles have stationary values. In particular, we determine the global minimum, i.e., the point (or points), for which the associated circle has the smallest radius.

Copyright © 1971 by ASME
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