A simple proof of Feuerbach's theorem

The theorem of Feuerbach states that the nine-point circle of a nonequilateral triangle is tangent to both its incircle and its three excircles. We give a simple proof of this theorem.

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description The theorem of Feuerbach states that the nine-point circle of a nonequilateral triangle is tangent to both its incircle and its three excircles. We give a simple proof of this theorem.
doi_str_mv 10.48550/arxiv.1610.03962
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title A simple proof of Feuerbach's theorem
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