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Machine Theory
Mechanism and Machine Theory 43 (2008) 115–122
ate/mechmt
Mechanism analysis of a trisector
Lyndon O. Barton *
Delaware State University, Dover, Delaware, United States
Received 20 July 2006; received in revised form 27 April 2007; accepted 17 October 2007
Abstract
This paper presents a graphical procedure for analyzing a trisector – a mechanism used for trisecting an arbitrary acute
angle. The trisector employed was a working model designed and built for this purpose. The procedure, when applied to
the mechanism at the 60° angle, which has been proven to be not trisectable as well as the 45° angle for benchmarking
(since this angle is known to be trisectable), produced results pared remarkably in both precision and accuracy.
For example, in both cases, the trisection angles found were °, and °, respectively, as determined by
The Geometer’s Sketch Pad software. Considering the degree of accuracy of these results (. five decimal places) and the
fact that it represents the highest level of precision attainable by the software, it is felt that the achievement is noteworthy,
notwithstanding the theoretical proofs of Wantzel, Dudley, and others [Underwood Dudley, A Budget of Trisections,
Springer-Verlag, New York, 1987; Clarence E. Hall, The equilateral triangle, Engineering Design Graphics J