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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

J. M. Feld
J. M. Feld*
Affiliation:
Queens College Flushing, N. Y.
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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].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 4 , 1952 , pp. 93 - 110
Copyright
Copyright © Canadian Mathematical Society 1952

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