Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 1, pp. 4755 (2003) 

Squaring the Circle by DissectionEike Hertel and Christian RichterMathematisches Institut, FriedrichSchillerUniversität Jena, D07740 Jena, Germany, email: hertel@minet.unijena.de, email: richterc@minet.unijena.deAbstract: The settheoretical circlesquaring 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:
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