Brocard triangle

Brocard triangle

In geometry, the Brocard triangle of a triangle is a triangle formed by the intersection of line from a vertex to its corresponding Brocard point and a line from another vertex to its corresponding Brocard point and the other two points constructed using different combinations of vertices and Brocard points. This triangle is also called the first Brocard triangle, as further triangles can be formed be forming the Brocard triangle of the Brocard triangle and continuing this pattern. The Brocard triangle is inscribed in the Brocard circle [mathworld|urlname=FirstBrocardTriangle|title=First Brocard Triangle] . It is named for Henri Brocard [ [http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Brocard.html Brocard biography ] ] .

ee also

*Henri Brocard
*Brocard points

Notes


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