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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

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

  • List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia

  • Comet Machholz — Not to be confused with 96P/Machholz or 141P/Machholz 2. There are five other long period comets named Machholz: C/1978 R3 (a.k.a. 1978 XIII, 1978l), C/1985 K1 (a.k.a. 1985 VIII, 1985e), C/1988 P1 (a.k.a. 1988 XV, 1988j), C/1992 N1 (a.k.a.… …   Wikipedia

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