Contributions to Four-Position Theory with Relative Rotations

Details Contributions to Four-Position Theory with Relative Rotations Contributions to Four-Position Theory with Relative Rotations

2009-11-27

arxiv.org/abs/0911.5253v1

D. L. Pisla, M. Ceccarelli, M. Husty, and Corves. B. J., editors, New Trends in Mechanism Science. Analysis and Design, volume

Mathematics

Metric Geometry

Scientific paper

We consider the geometry of four spatial displacements, arranged in cyclic order, such that the relative motion between neighbouring displacements is a pure rotation. We compute the locus of points whose homologous images lie on a circle, the locus of oriented planes whose homologous images are tangent to a cone of revolution, and the locus of oriented lines whose homologous images form a skew quadrilateral on a hyperboloid of revolution.

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