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The Brocard points of a triangle
A Brocard point
O
O
O
of the triangle
A
B
C
ABC
A
B
C
is the point where the three marked angles
O
A
B
,
O
B
C
OAB, OBC
O
A
B
,
O
B
C
, and
O
C
A
OCA
O
C
A
are equal.
There is another point
O
′
O'
O
′
for which the angles
O
′
A
C
,
O
′
B
A
O'AC, O'BA
O
′
A
C
,
O
′
B
A
and
O
′
C
B
O'CB
O
′
C
B
are equal.