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Vertex Triangle


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 X and its isotomic conjugate X^(-1) are 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.

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Vertex Triangle

Cite this as:

Weisstein, Eric W. "Vertex Triangle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VertexTriangle.html

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