# barycentric coordinates

barycentric coordinates

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• Barycentric coordinates (mathematics) — In mathematics, barycentric coordinates are coordinates defined by the vertices of a simplex (a triangle, tetrahedron, etc). Barycentric coordinates are a form of homogeneous coordinates.Let x 1, ..., x n be the vertices of a simplex in a vector… …   Wikipedia

• Barycentric coordinates (astronomy) — In astronomy, barycentric coordinates are non rotating coordinates with origin at the center of mass of two or more bodies.Within classical mechanics, this definition simplifies calculations and introduces no known problems. In the General Theory …   Wikipedia

• Barycentric — can refer to:In astronomy, * Barycentric coordinates (astronomy) are coordinates defined by the common center of mass of two or more bodies * Barycentric Dynamical Time was a time standard in the Solar system * Barycentric Coordinate Time is a… …   Wikipedia

• Barycentric Coordinate Time — (TCB) is a coordinate time standard intended to be used as the independent variable of time for all calculations pertaining to orbits of planets, asteroids, comets, and interplanetary spacecraft in the Solar system. It is equivalent to the proper …   Wikipedia

• Trilinear coordinates — In geometry, the trilinear coordinates of a point relative to a given triangle describe the relative distances from the three sides of the triangle. Trilinear coordinates are an example of homogeneous coordinates. They are often called simply… …   Wikipedia

• Homogeneous coordinates — In mathematics, homogeneous coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul [ [http://www history.mcs.st andrews.ac.uk/Biographies/Mobius.html Mobius biography ] ] , allow affine transformations to be …   Wikipedia

• Triangular coordinates — The term triangular coordinates may refer to either of at least three related systems of coordinates in the Euclidean plane. See barycentric coordinates and ternary plot for an account of one such system, and trilinear coordinates for another.… …   Wikipedia

• Circumscribed circle — Circumscribed circle, C, and circumcenter, O, of a cyclic polygon, P In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the… …   Wikipedia