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arXiv · 0911.5253

Contributions to Four-Position Theory with Relative Rotations

Hans-Peter Schröcker
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Abstract

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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Hans-Peter Schröcker. 2009-11-27. Contributions to Four-Position Theory with Relative Rotations. https://doi.org/10.1007/978-90-481-9689-0_3

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