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


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
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In