Barycentric coordinates are triples of numbers (t_1, t_2, t_3) corresponding to masses placed at the vertices of a reference triangle Δ A_1 A_2 A_3. These masses then determine a point P, which is the geometric centroid of the three masses and is identified with coordinates (t_1, t_2, t_3). The vertices of the triangle are given by (1, 0, 0), (0, 1, 0), and (0, 0, 1). Barycentric coordinates were discovered by Möbius in 1827 (Coxeter 1969, p. 217; Fauvel et al. 1993).

areal coordinates | exact trilinear coordinates | homogeneous barycentric coordinates | trilinear coordinates