Draw equilateral triangles
BCA1,
ACB1
and
ABC1
on the outside of the given triangle ABC.
Let A2 be the center of
BCA1.
Let B2 be the center of
ACB1.
Let C2 be the center of
ABC1.
Then
A2B2C2
is the Outer Napoleon Triangle.
The Outer Napoleon Point N is the perspector of triangle ABC and
the Outer Napoleon Triangle. That is,
F is the point of concurrence of the lines
AA2, BB2 and CC2.
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