creative_2011_20_1_074_080_001

A note on the geometry of three circles


R. PachecoF. PinheiroR. Portugal


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creative_2011_20_1_074_080

In the present note, we deduce some nice results concerning the geometry of three circles from an easy incidence lemma in plane projective geometry. By particularizing to the case of the three excircles of a triangle, this lemma provides a unified geometric characterization of many interesting Kimberling centers.

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Pacheco, R., Pinheiro, F., Portugal, R.