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# Bicentric Points

Let be a point with trilinear coordinates and be a point with trilinear coordinates for some homogeneous function such that . Then and are called bicentric points.

The best-known example of a pair of bicentric points are the first and second Brocard Points and , which have trilinear coordinates and , respectively (Kimberling 1998, pp. 47-48).

Brocard Points, First Brocard Point, Second Brocard Point

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## References

Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.Kimberling, C. "Bicentric Pair of Points and Related Triangle Centers." Forum Geom. 3, 35-47, 2002. http://forumgeom.fau.edu/FG2003volume3/FG200303index.html.Kimberling, C. "Bicentric Pairs of Points." http://faculty.evansville.edu/ck6/encyclopedia/BicentricPairs.html.

Bicentric Points

## Cite this as:

Weisstein, Eric W. "Bicentric Points." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BicentricPoints.html