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Geometry of Motion

  • Emmanuele DiBenedetto
Chapter
Part of the Cornerstones book series (COR)

Abstract

\({\mathbb{R}}^{3}\)A triple of vectors {e 1, e 2, e 3} is positively oriented if e i e j = e k for every cyclic permutation {i, j, k} of the indices. A positive triadis a Cartesian reference system {O; e1, e2, e3} in \({\mathbb{R}}^{3}\)with origin in O and positively oriented unit vectors {e 1, e 2, e 3}.

Keywords

Parametric Equation Rigid Motion Instantaneous Rotation Central Motion Circular Cone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA

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