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Distances from the Incenter to the Fermat Points
For a triangle
, let
be the incenter and
and
be the two Fermat points.
Define:
= inradius,
= semiperimeter,
,
(Conway notation),
= Brocard angle.
Then
,
.
Contributed by:
Minh Trinh Xuan
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RELATED LINKS
Fermat Points
(
Wolfram
MathWorld
)
The Sum of the Trilinear Coordinates of a Point
(
Wolfram Demonstrations Project
)
Conway Triangle Notation
(
Wolfram Demonstrations Project
)
Relating Trilinear and Tripolar Coordinates for a Triangle
(
Wolfram Demonstrations Project
)
Brocard Angle
(
Wolfram
MathWorld
)
PERMANENT CITATION
Minh Trinh Xuan
"
Distances from the Incenter to the Fermat Points
"
http://demonstrations.wolfram.com/DistancesFromTheIncenterToTheFermatPoints/
Wolfram Demonstrations Project
Published: June 30, 2022
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