barycentric coordinates

(ba-ră-sen -trik) See barycenter.

Barycentric Coordinates

the coordinates of a point M on a plane in relation to three basis points A₁, A₂, and A₃ (not lying on the same line) of this plane—three numbers m₁, m₂, and m₃ (which satisfy the condition m₁ + m₂ + m₃ = 1), such that the point M represents the center of gravity of the system of three material points with masses m₁, m₂, and m₃ located at the points A₁, A₂, and A₃ respectively. (Here it is necessary to consider that the masses m₁, m₂, and m₃ can be both positive and negative.) Barycentric coordinates in space are defined analogously. Barycentric coordinates are used in certain branches of mathematics and its applications.

barycentric coordinates

[‚bar·ə′sen·trik kō′ȯrd·ən‚əts] (mathematics) The coefficients in the representation of a point in a simplex as a linear combination of the vertices of the simplex.

单词	barycentric coordinates
释义	barycentric coordinates barycentric coordinates (ba-ră-sen -trik) See barycenter. Barycentric Coordinates the coordinates of a point M on a plane in relation to three basis points A₁, A₂, and A₃ (not lying on the same line) of this plane—three numbers m₁, m₂, and m₃ (which satisfy the condition m₁ + m₂ + m₃ = 1), such that the point M represents the center of gravity of the system of three material points with masses m₁, m₂, and m₃ located at the points A₁, A₂, and A₃ respectively. (Here it is necessary to consider that the masses m₁, m₂, and m₃ can be both positive and negative.) Barycentric coordinates in space are defined analogously. Barycentric coordinates are used in certain branches of mathematics and its applications. barycentric coordinates [‚bar·ə′sen·trik kō′ȯrd·ən‚əts] (mathematics) The coefficients in the representation of a point in a simplex as a linear combination of the vertices of the simplex.
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