**Preprint series:**
01-10, Reports on Algebra and Geometry

**The paper is published:**
Beiträge Algebra Geom. (to appear)

**MSC:**- 52B45 Dissections and valuations (Hilbert's third problem, etc.)

**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*

**Upload:** 2001-08-30

**Update:** 2001-09-10

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