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The Coordinates of a Point Relative to a Triangle
Let
be a triangle with side lengths
,
,
. Let
be any point and
,
,
be the algebraic distance from
to
,
,
, respectively.
Let
and
be the Conway triangle parameters for triangle
and set the coordinates of the base to be
and
.
Then the Cartesian coordinates of the other two points are:
,
.
Also,
,
,
.
Contributed by:
Minh Trinh Xuan
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RELATED LINKS
First Brocard Point
(
Wolfram
MathWorld
)
Conway Triangle Notation
(
Wolfram
MathWorld
)
The Brocard Points and Neuberg Circles of a Triangle
(
Wolfram Demonstrations Project
)
The Conway Circle
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Minh Trinh Xuan
"
The Coordinates of a Point Relative to a Triangle
"
http://demonstrations.wolfram.com/TheCoordinatesOfAPointRelativeToATriangle/
Wolfram Demonstrations Project
Published: May 12, 2022
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