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Areal Coordinates

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ArealCoordinates

Barycentric coordinates (t_1,t_2,t_3) normalized so that they become the areas of the triangles PA_1A_2, PA_1A_3, and PA_2A_3, where P is the point whose coordinates have been specified, normalized by the area of the original triangle DeltaA_1A_2A_3. This is equivalent to application of the normalization relation

t_1+t_2+t_3=1

(Coxeter 1969, p. 218).

See also

Barycentric Coordinates, Exact Trilinear Coordinates, Homogeneous Barycentric Coordinates, Trilinear Coordinates

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References

Coxeter, H. S. M. Introduction to Geometry, 2nd ed. New York: Wiley, p. 218, 1969.

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Areal Coordinates

Cite this as:

Weisstein, Eric W. "Areal Coordinates." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ArealCoordinates.html

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