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The Yff contact triangle (a term coined here for the first time), is the Cevian triangle of Kimberling center .

It is the polar triangle of the Yff parabola.

It has the trilinear vertex matrix

The vertices are the points of contact of the Yff parabola with the sidelines of the reference triangle.

Since it is the Cevian triangle of a point on the Steiner circumellipse, it has area

where is the area of the reference triangle and the negative sign indicates that the orientation is reversed.

The circumcircle of the Yff contact triangle is the Yff contact circle.

The triangle centroid of has triangle center function

and lies on the lines (2,514), (63,649), (210,513), (514,1022), (612,1027), (661,1211) (P. Moses, pers. comm., Jan. 18, 2005).

Its orthocenter is the Nagel point (P. Moses, pers. comm., Jan. 18, 2005).

See also

First Yff Triangle, Yff Contact Circle

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Cite this as:

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

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