A Simple Vector Proof of Feuerbach's Theorem

Details A Simple Vector Proof of Feuerbach's Theorem A Simple Vector Proof of Feuerbach's Theorem

2011-07-06

arxiv.org/abs/1107.1152v1

Mathematics

Metric Geometry

6 pages, 2 figures

Scientific paper

The celebrated theorem of Feuerbach states that the nine-point circle of a
nonequilateral triangle is tangent to both its incircle and its three
excircles. In this note, we give a simple proof of Feuerbach's Theorem using
straightforward vector computations. All required preliminaries are proven here
for the sake of completeness.

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