Displaying similar documents to “Euclidean space motions with affinely equivalent trajectories”

Properties of space motions with two straight trajectories

Marie Kargerová (1990)

Aplikace matematiky

Similarity:

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.

Similarity motions in E 3 with plane trajectories

Adolf Karger (1981)

Aplikace matematiky

Similarity:

In this paper the author finds and describes all similarity space motions, which have only plane trajectories of points. All such motions are explicitly expressed. They are of 5 types, all of them cylindrical. Trajectories are conic sections (3 types) or arbitrary plane curves (2 types).