Journal of Geometry

, Volume 38, Issue 1–2, pp 12–15

On strict strong constructibility with a compass alone

  • Arnon Avron

DOI: 10.1007/BF01222890

Cite this article as:
Avron, A. J Geom (1990) 38: 12. doi:10.1007/BF01222890


We show that every point in the plane which can be constructed by a compass and a ruler, given a setS of points, can be constructed using a compass alone so that the following restriction is met. LetO andK be two arbitrarily chosen distinct points ofS. Then every point is obtained as a proper intersection of two circles that are either completely symmetrical with respect to the lineOK or have both their centers on this line.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag 1990

Authors and Affiliations

  • Arnon Avron
    • 1
  1. 1.School of Mathematical Science, Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel AvivIsrael

Personalised recommendations