Skip to main content
Log in

A better bound for the excentricities not admitting the equichordal body

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. W. Blaschke, H. Rothe andR. Weitzenböch, Aufgabe 552. Arch. Math. u. Phys.27, 82 (1917).

    Google Scholar 

  2. G. A. Dirac, Ovals with equichordal points. J. London Math. Soc.27, 429–437 (1952).

    Google Scholar 

  3. E. Ehrhart, Un ovale a deux point isocordes? Einseign. Math.13, 119–124 (1967).

    Google Scholar 

  4. M. Fujiwara, Über die Mittelkurve zweier geschlossenen konvexen Kurven in Bezug auf einen Punkt. Tôhoku Mat. J.10, 99–103 (1916).

    Google Scholar 

  5. J.Hartl, Zum Problem der Doppelspeichenkurven. Österreichische Mathematiker Kongress, 1981.

  6. G. Michelacci, A negative answer to the equichordal problem for not too small excentricities. Boll. Un. Mat. Ital. (7)2-A, 203–211 (1988).

    Google Scholar 

  7. R.Schäfke and H.Volkmer, Asymptotic analysis of the equichordal problem. To appear.

  8. A. Volčič, A three-point solution to Hammer's X-ray problem. J. London Math. Soc. (2)34, 349–359 (1986).

    Google Scholar 

  9. E. Wirsing, Zur Analytizität von Doppelspeichenkurven. Arch. Math.9, 300–307 (1958).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Michelacci, G., Volčič, A. A better bound for the excentricities not admitting the equichordal body. Arch. Math 55, 599–609 (1990). https://doi.org/10.1007/BF01191697

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01191697

Navigation