![]() , and by drawing, , and, and then by constructing segments, , and through and parallel to sides, , and, respectively. Using this technique, one obtains the percentage of , -, and -coordinates-denoted, , and, respectively, to indicate that, in practice, theseĬoordinates typically denote a weighted percentage of components, , and -by way of the relationsĪs shown in the figure above, a somewhat different geometric construction can be used to compute the ternary coordinates of a point. Upon doing so, one gets the relations for the Of those segments with the rays through and beginning at, , and, respectively. First, draw the segments, , and where here,, , and, respectively, are the points on the segments, , and, respectively, that are the intersections Which can be done as illustrated in the figure above. The most visually intuitive way is to obtain them graphically, To compute the ternary coordinates of a two-dimensional point. Note that the points labeled, , and in the diagram refer to 100%, 100%, and 100% C, respectively, as elaborated upon in the discussionĪt first glance, it may appear as if the coordinates of points plotted on ternary graphs are chosen at random when, in fact, there are a number of equivalent ways Among these are the barycenter, as well as nine other points whose coordinatesĪre given in the table above. For convenience, there are a few "base points" plotted on the coordinate axes in the first figure. ![]()
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