Going in Circles: Variations on the Money-Coutts Theorem |
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| Authors: | Serge Tabachnikov |
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| Affiliation: | (1) Department of Mathematics, University of Arkansas, Fayetteville, AR, 72701, U.S.A. |
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| Abstract: | Given a polygon A
1,...,A
n, consider the chain of circles: S
1 inscribed in the angle A
1, S
2 inscribed in the angle A
2 and tangent to S
1, S
3 inscribed in the angle A
3 and tangent to S
2, 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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| Keywords: | circle geometry elliptic curves |
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