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Second Brocard Cevian Triangle


SecondBrocardCevianTriangle

The second Brocard Cevian triangle is the Cevian triangle of the second Brocard point. It has area

 Delta_2=(2a^2b^2c^2)/((a^2+b^2)(b^2+c^2)(c^2+a^2))Delta,

where Delta is the area of the reference triangle, which is the same as not only the first Brocard Cevian triangle, but also of the symmedial triangle.


See also

First Brocard Cevian Triangle, Second Brocard Point, Symmedial Triangle

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Cite this as:

Weisstein, Eric W. "Second Brocard Cevian Triangle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SecondBrocardCevianTriangle.html

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