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The Nagel Point

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A circle drawn outside a triangle that is tangent to the extensions of two of its sides and to the third side is an excircle.

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The lines connecting the vertices of a triangle with the corresponding points of tangency of the three excircles are concurrent. The intersection is called the Nagel point.

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Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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