Going in Circles: Variations on the Money-Coutts Theorem

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Given a polygon A1,..., An, consider the chain of circles: S1 inscribed in the angle A1, S2 inscribed in the angle A2 and tangent to S1, S3 inscribed in the angle A3 and tangent to S2, etc. We describe a class of n-gons for which this process is 2n-periodic. We extend the result to the case when the sides of a polygon are arcs of circles. The case of triangles is known as the Money-Coutts theorem.

Original languageEnglish (US)
Pages (from-to)201-209
Number of pages9
JournalGeometriae Dedicata
Volume80
Issue number1-3
StatePublished - Dec 1 2000

Fingerprint

Circle
Angle
Tangent line
Polygon
Theorem
Incircle or inscribed circle
Triangle
Arc of a curve
Money
Class

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

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abstract = "Given a polygon A1,..., An, consider the chain of circles: S1 inscribed in the angle A1, S2 inscribed in the angle A2 and tangent to S1, S3 inscribed in the angle A3 and tangent to S2, etc. We describe a class of n-gons for which this process is 2n-periodic. We extend the result to the case when the sides of a polygon are arcs of circles. The case of triangles is known as the Money-Coutts theorem.",
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Going in Circles : Variations on the Money-Coutts Theorem. / Tabachnikov, Serge.

In: Geometriae Dedicata, Vol. 80, No. 1-3, 01.12.2000, p. 201-209.

Research output: Contribution to journalArticle

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