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Journal for Geometry and Graphics 27 (2023), No. 2, 181--185
Copyright Heldermann Verlag 2023

A Sequence of Malfatti Circles

Ren Guo
Dept. of Mathematics, Oregon State University, Corvallis, U.S.A.

Given a Euclidean triangle, a smaller triangle is formed by joining the centers of the three Malfatti circles of the given triangle. A sequence of triangles is obtained by continuing this process. The limit of the sequence of triangles is a point. The limits of the inner angles of these triangles are π/3.

Keywords: Malfatti circles, limit.

MSC: 51M04.

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