Eric Danneels, On triangles with vertices on the angle bisectors,
Forum Geometricorum, 6 (2006) 247--253.

Abstract: We study interesting properties of triangleswhose vertices are on the three angle bisectors of a given triangle. We show that such a triangle is perspective with the medial triangle if and only if it is perspective with the intouch triangle. We present several interesting examples with new triangle centers.

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