In this paper we continue the considerations of , i.e. the study of one-parametric closed equiform motions in Euclidean 3-space E3. Thereby the "Steiner-formula" on the aperture-distances of ruled surfaces, traced by lines of the moving space, is discussed and applied in different ways. This leads to new Holditch-theorems and to results in the field of global geometry of ruled surfaces and curves in E3. On the other hand these theorems can be specialized to important formulas of global spherical kinematics.
ASJC Scopus subject areas
- General Mathematics