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A Collinearity Involving an Excircle, the Incircle, and the Circumcircle

Let ABC be a triangle with incenter I and circumcircle

. Let J be the excenter of the excircle opposite A. Let IJ intersect BC at D and let IJ intersect

at M. Let N be the midpoint of arc MBA of

. Let S and T be the second intersection points of NI, NJ with

. Then S, D, T are collinear.

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