Search results
Results from the WOW.Com Content Network
A ternary flammability diagram, showing which mixtures of methane, oxygen gas, and inert nitrogen gas will burn. A ternary plot, ternary graph, triangle plot, simplex plot, or Gibbs triangle is a barycentric plot on three variables which sum to a constant. [1] It graphically depicts the ratios of the three variables as positions in an ...
Mixtures of the three gasses are usually depicted in a triangular diagram, known as a ternary plot. Such diagrams are available in the speciality literature. [1] [2] [3] The same information can be depicted in a normal orthogonal diagram, showing only two substances, implicitly using the feature that the sum of all three components is 100 ...
Ternary diagram showing the relative abundance of quartz, feldspar, and lithic grains and views of what selected compositions would look like. A QFL diagram or QFL triangle is a type of ternary diagram that shows compositional data from sandstones and modern sands, point counted using the Gazzi-Dickinson method. The abbreviations used are as ...
For a representation of ternary equilibria a three-dimensional phase diagram is required. Often such a diagram is drawn with the composition as a horizontal plane and the temperature on an axis perpendicular to this plane. To represent composition in a ternary system an equilateral triangle is used, called Gibbs triangle (see also Ternary plot).
Derivation of ternary plots from Cartesian coordinates, drawn by CMG Lee. (1) shows a point P(a,b,c) in a 3-dimensional Cartesian plane. In (2), if a + b + c = K, and a, b and c are non-negative, P is restricted to the triangle bounded by A, B and C. In (3), the axes are rotated to give an isometric view (the triangle appears equilateral).
Viviani's theorem means that lines parallel to the sides of an equilateral triangle give coordinates for making ternary plots, such as flammability diagrams. More generally, they allow one to give coordinates on a regular simplex in the same way.
Ternary plot : A ternary plot, ternary graph, triangle plot, simplex plot, or de Finetti diagram is a barycentric plot on three variables which sum to a constant. It graphically depicts the ratios of the three variables as positions in an equilateral triangle .
The term triangular coordinates may refer to any of at least three related systems of coordinates in the Euclidean plane: . a special case of barycentric coordinates for a triangle, in which case it is known as a ternary plot or areal coordinates, among other names