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First Fermat Point and Isogonic Center of a Triangle

This Demonstration plots the first Fermat point
FFP
(red) and first isogonic center
FIC
(yellow) of a triangle
T
. You can drag the triangle vertices. When
FFP
and
FIC
are both inside the triangle, they coincide.
Let
F(P,T)
be the sum of the distances from a point
P
to the three vertices of
T
. Then
FFP
minimizes
F
. The contours show the level lines of
F
.
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