Δευτέρα 21 Οκτωβρίου 2019

HYACINTHOS 21431

A possible generalization led to something curious. Take all circles that are tangent to two of the sidelines BC, CA, AB.  Four of these circles pass through the Feuerbach point, the incircle and 3 others. The centers of those 3 others are collinear.
 
Does this work if the Feuerbach point is replaced with some other point on the incircle?
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Barry Wolk

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