Trilinear coordinates

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Trilinear coordinates describe the relative distances from the three sides of a given triangle.

[edit] Example

The incenter has trilinear coordinates (1,1,1). Note that, in general, the incenter is not the same as the centroid; the centroid has barycentric coordinates (1,1,1).

[edit] Converting to barycentric coordinates

A point with trilinear coordinates (α,β,γ) has barycentric coordinates (aα,bβ,cγ) where a, b, and c are the side lengths of the triangle.

[edit] External link

• Trilinear Coordinates on Mathworld.