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Second Brocard Triangle

Let X1 and X2 are the First and the Second Brocard Points of ABC. Define
c1 - the circle though points B, X1 and C.
c2 - the circle though points A, X1 and C.
c3 - the circle though points A, X1 and B.
c4 - the circle though points B, X2 and C.
c5 - the circle though points A, X2 and C.
c6 - the circle though points A, X2 and B.
Let A1 is the intersection point of circles c2 and c6, B1 is the intersection point of circles c3 and c4, and C1 is the intersection point of circles c1 and c5. Then A1B1C1 is the Second Brocard Triangle.




A1B1C1 - Second Brocard Triangle.