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Cyclic Pentagons

Published online by Cambridge University Press:  03 November 2016

F. Bowman
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Extract

Typical cyclic configurations of five-bar linkages are shown in Figs. 1, 2, 3, 4. It is proposed to solve the problem of finding all the cyclic configurations of a five-bar linkage of which the lengths of the bars are given. It will be shown that the solution depends upon an equation of the seventh degree which can be expressed in a very simple form.

Type
Research Article
Information
The Mathematical Gazette , Volume 36 , Issue 318 , December 1952 , pp. 244 - 250
Copyright
Copyright © The Mathematical Association 1952

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References

page no 247 note * Lamb, Statics, p. 71.

page no 248 note * It may be verified that both m1, and X1, vanish when x1,is a diameter of the circumcircle.

page no 250 note * Möbius, A. F , “ Ueber die Gleickungen, mittelst welcher aus den Seiten eines in einer Kreis zu beschreibenden Vielecks der Halbmesser des Kreises und die Fläche des Vielecks gefunden werden”, Crelle’s Journal, 3 (1828), 5–34.CrossRefGoogle Scholar