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The circumtangential triangle is an equilateral triangle formed by the three points on the circumcircle of a reference triangle at which the line , where is the isogonal conjugate, is tangent to the circumcircle (Kimberling 1998, p. 166).

Note that it is not in perspective with .

It has trilinear vertex matrix

All triangle centers of the circumtangential triangle correspond to the circumcenter of the reference triangle.

See also

Circumnormal Triangle

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References

Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.

Referenced on Wolfram|Alpha

Circumtangential Triangle

Cite this as:

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

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