Zur globalen Raumkinematik

Translated title of the contribution: On spatial kinematics in the large

Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper we continue the considerations of [8], 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.

Translated title of the contributionOn spatial kinematics in the large
Original languageGerman
Pages (from-to)289-302
Number of pages14
JournalMonatshefte für Mathematik
Volume103
Issue number4
DOIs
StatePublished - Dec 1987
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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