Nagel point: Proof of Its Trilinear Coordinates

geometrynoob · May 13, 2023

I know what Nagel point is. but I need the proof of its Trilinear coordinates.
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Trilinear coordinates for the Nagel point are given by

${\frac {b+c-a}{a}}:{\frac {c+a-b}{b}}:{\frac {a+b-c}{c}}.$

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Can someone show me why or just give me a link for detail
Thank

Nagel point: Proof of Its Trilinear Coordinates

geometrynoob

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