Geometry of Motion

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


\({\mathbb{R}}^{3}\)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}.


Parametric Equation Rigid Motion Instantaneous Rotation Central Motion Circular Cone 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA

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