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Fletcher Point

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FletcherPoint

The intersection Fl of the Gergonne line and the Soddy line. In the above figure, D^', E^', and F^' are the Nobbs points, I is the incenter, Ge is the Gergonne point, and S and S^' are the Soddy centers.

The Fletcher point has triangle center function

alpha_(1323)=sec^2(1/2A)[2cos^2(1/2A)-cos^2(1/2B)-cos^2(1/2C)]

and is Kimberling center X_(1323).

See also

Euler-Gergonne-Soddy Triangle, Gergonne Line, Nobbs Points, Soddy Line, Soddy Centers

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References

Oldknow, A. "The Euler-Gergonne-Soddy Triangle of a Triangle." Amer. Math. Monthly 103, 319-329, 1996.

Referenced on Wolfram|Alpha

Fletcher Point

Cite this as:

Weisstein, Eric W. "Fletcher Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FletcherPoint.html

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