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 language | English (US) |
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Pages (from-to) | 201-209 |
Number of pages | 9 |
Journal | Geometriae Dedicata |
Volume | 80 |
Issue number | 1-3 |
DOIs | |
State | Published - 2000 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology