2012•Unpublished venueRequires access

Generalized Reference Coordinates for Spatial Gearing—the Cylindroidal Coordinates

David B. Dooner

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Abstract

This chapter contains sections titled: Introduction Cylindroidal Coordinates Homogeneous Coordinates Screw Operators The Generalized Equivalence of the Pitch Point—the Screw Axis The Generalized Pitch Surface—Axodes The Generalized Transverse Surface The Generalized Axial Surface Summary

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What this paper is about

This chapter contains sections titled: Introduction Cylindroidal Coordinates Homogeneous Coordinates Screw Operators The Generalized Equivalence of the Pitch Point—the Screw Axis The Generalized Pitch Surface—Axodes The Generalized Transverse Surface The Generalized Axial Surface Summary

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Available abstract

This chapter contains sections titled: Introduction Cylindroidal Coordinates Homogeneous Coordinates Screw Operators The Generalized Equivalence of the Pitch Point—the Screw Axis The Generalized Pitch Surface—Axodes The Generalized Transverse Surface The Generalized Axial Surface Summary

Key concepts: Log-polar coordinates, Action-angle coordinates, Bipolar coordinates, Generalized coordinates, Orthogonal coordinates, Parabolic coordinates, Homogeneous coordinates, Surface (topology)

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