Denote the three vertices of the ternary diagram counterclockwise from the upper vertex as , , and (see Figure A.1). The scale of the plot is arbitrary and a unitary equilateral triangle can be chosen. Assume that are the plotting coordinates of the vertex. The vertex is then and the vertex has abscissa ; the square-height is obtained using Pythagoras' theorem: . Thus, . These are the vertices of the triangle shown in Figure A.1

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