Barycentric coordinates
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Barycentric coordinates are triples of numbers corresponding to masses placed at the vertices of a reference triangle
. These masses then determine a point
, which is the geometric centroid of the three masses and is identified with coordinates
. The vertices of the triangle are given by
,
, and
. Barycentric coordinates were discovered by Möbius in 1827 (Coxeter 1969, p. 217; Fauvel et al. 1993).