Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 44, No. 1, pp. 47-55 (2003)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home



Squaring the Circle by Dissection

Eike Hertel and Christian Richter

Mathematisches Institut, Friedrich-Schiller-Universität Jena, D-07740 Jena, Germany, e-mail:, e-mail:

Abstract: The set-theoretical circle-squaring problem goes back to Tarski: Can a circle be partitioned into sets that can be reassembled to form a square? We give a short survey on results to this question and add new claims concerning ``scissor congruence'' of circle and square with respect to particular affine transformations.

Keywords: squaring the circle, equidecomposable, congruent by dissection, homothety, similarity, equiaffine map, affine map

Classification (MSC2000): 52B45

Full text of the article:

Electronic version published on: 3 Apr 2003. This page was last modified: 4 May 2006.

© 2003 Heldermann Verlag
© 2003--2006 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition