Skip to main content
SpringerLink
Log in

Zu den dreigliedrigen Zwanglaufketten der quasihyperbolischen Kinematik

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

Abstract

We present a calculus for those projective-kinematic-chains with three members, where every chain element possesses at each moment three linearly independent poles. As applications we discuss the generation problem for pairs of envelope curves as path-curves and give an extensive treatment of the quasi-hyperbolic chains.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literaturverzeichnis

  1. Giering, O.:Vorlesungen über höhere Geometrie, Vieweg Verlag, Braunschweig, Wiesbaden, 1982.

    Google Scholar 

  2. Müller, H. R.:Kinematik, Göschen Bd. 584/584a, Berlin, 1963.

  3. Tölke, J.: Ebene projektive Kinematik I, II, III,Math. Nachr. 63 (1974), 167–196, 221–237.

    Google Scholar 

  4. Tölke, J.: Projektive kinematische Geometrie,Ber. Math. Stat. Sektion Graz Nr.39 (1975), 1–50.

    Google Scholar 

  5. Tölke, J.: Dreigliedrige projektive Zwanglaufketten mit genau zwei dreifachen Polen (In Vorbereitung).

  6. Urban, H.: Einheitliche Grundlegung der Kinematik der Cayley-Klein-Ebenen, Dissertation, TU München, 1992.

  7. Urban, H.: Über drei zwangläufig gegeneinander bewegte Cayley-Klein-Ebenen (Eingereicht).

  8. Wunderlich, W.: Polkonfigurationen in der äquiformen Kinematik,Aplik. Math. 32 (1987), 290–300.

    Google Scholar 

  9. Gfrerrer, A.: Äquiforme Kinematik der pseudoeuklidischen Ebene, Dissertation, TU Graz, 1992.

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität Siegen, Hölderlinstr. 3, D-57068, Siegen, Germany

    Jürgen Tölke

Authors
  1. Jürgen Tölke
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Herrn Professor Dr. O. Giering zum 60. Geburtstag gewidmet

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tölke, J. Zu den dreigliedrigen Zwanglaufketten der quasihyperbolischen Kinematik. Geom Dedicata 53, 271–280 (1994). https://doi.org/10.1007/BF01264000

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01264000

Mathematics Subject Classification (1991)

Search

Navigation