**Beiträge zur Algebra und Geometrie
**

Contributions to Algebra and Geometry

Vol. 39, No. 2, pp. 317-328 (1998)

#
Equiform Bundle Motions in $E_3$ with Spherical Trajectories II

##
Anton Gfrerrer, Johann Lang

Technische Universität Graz, Institut für Geometrie, Kopernikusgasse 24, 8010 Graz, Austria

**Abstract:** The 3-parameter group of Euclidean bundle motions moves every point of the 3-space on a ball centered in the bundle vertex. In this paper we investigate motions of the 4-parameter group of equiform bundle transformations with the property, that some of the points have spherical orbits i. e. orbits lying in a plane or on a ball. In the first part of this paper we introduced a "principle of transfer" which turned out to be a usefull tool for a systematical approach to these problems. The second part contains a detailed investigation of some motions presented in the first part. We also give parameter representations of these examples.

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]