The vertex triangle of two distinct circumcevian triangles or circumanticevian triangles is perspective
to the reference triangle .
In addition, the vertex triangles of the circumcevian triangles and circumanticevian triangles of a point isotomic conjugate homothetic
to the reference triangle .
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References Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129 , 1-295, 1998. Kimberling, C. "Transfigured
Triangle Geometry." Preprint. Mar. 5, 2005. Referenced on Wolfram|Alpha Vertex Triangle
Cite this as:
Weisstein, Eric W. "Vertex Triangle."
From MathWorld https://mathworld.wolfram.com/VertexTriangle.html
Subject classifications
and its isotomic conjugate 
are homothetic
to the reference triangle.
