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special space motions; kinematics; straight trajectories; planar trajectories
The paper is devoted to Euclidean space motions with two straight trajectories on two given skew straight lines. It describes all motions from this class which have one more planar trajectory in a plane not parallel to the given lines. In the conclusion it given conditions under which such motions have further planar trajectories in planes not parallel to the given skew straight lines.
[1] W. Blaschke: Kinematik und Quaternionen. Berlin, Deutscher Verlag der Wiss., 1960. MR 0119471 | Zbl 0098.34701
[2] A. Karger: The Darboux theorem on plane trajectories of two parametric space motions. Apl. mat. 33(1988), 417-442. MR 0973238 | Zbl 0666.53004
[3] A. Karger J. Novák: Space kinematics and Lie groups. Gordon and Breach, New York, London, 1985. MR 0801394
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