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5. On the Quaternion Expression of the Finite Displacements of a System of Points of which the Mutual Distances remain Invariable

Published online by Cambridge University Press:  15 September 2014

Gustave Plarr  and
Tait
Gustave Plarr
Affiliation:
Docteur ès-Sciences.
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Extract

When we try to define, from a purely geometrical point of view, the rigidity of a system of points, we are inclined to consider the invariability of the mutual distances of the points a sufficient definition. But when we take this definition as a starting point, in the problem of expressing the finite displacements of the system, we soon discover that the invariability of the distances is not sufficient for insuring the invariability of the relative positions of the points.

Type
Proceedings 1882-83
Information
Proceedings of the Royal Society of Edinburgh , Volume 12 , 1884 , pp. 151 - 171
Copyright
Copyright © Royal Society of Edinburgh 1884

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