Contributions to Four-Position Theory with Relative Rotations
Metric Geometry
2018-07-31 v1
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.
Cite
@article{arxiv.0911.5253,
title = {Contributions to Four-Position Theory with Relative Rotations},
author = {Hans-Peter Schröcker},
journal= {arXiv preprint arXiv:0911.5253},
year = {2018}
}