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On the Geometry of Lineal Elements onA Sphere, Euclidean Kinematics, andElliptic Geometry
Published online by Cambridge University Press: 20 November 2018
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The geometry of slides and turns of oriented lineal elements in the plane was first studied by Kasner [10]. Slides and turns generate whirls, which constitute a three-parameter group W3. The product of W3 and M3, the three-parameter group of Euclidean displacements in the plane, yields a sixparameter group of whirl-motionsG6. The geometry of turbines, and also of general series of lineal elements, under G6 was investigated by Kasner in [10] and, in subsequent papers, by Kasner and DeCicco, particularly in [3], [4], [11], [12].
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- Copyright © Canadian Mathematical Society 1952