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RESEARCH PAPERS

On the Burmester Points of a Plane

[+] Author and Article Information
Ferdinand Freudenstein

Department of Mechanical Engineering, Columbia University, New York, N. Y.

George N. Sandor

TIME Incorporated, Springdale Laboratories Division, Springdale, Conn.

J. Appl. Mech 28(1), 41-49 (Mar 01, 1961) (9 pages) doi:10.1115/1.3640465 History: Received June 15, 1960; Online September 16, 2011

Abstract

The paper is divided into three parts concerned with the Burmester points associated with five distinct positions of a plane. In the first part, “Theory,” an equation is derived for the location of the Burmester points; algebraic and geometric properties of these points are deduced and special cases considered. An automatic digital-computer program is described in the second part, “Computation,” using a parametric form of the equation for the Burmester points. In the third part, “Application,” the analytical form of Burmester theory is applied to the solution of a variety of problems in plane kinematic synthesis in one uniform manner.

Copyright © 1961 by ASME
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