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eulerAPE: Drawing Area-Proportional 3-Venn Diagrams Using Ellipses

Figure 5

The starting diagram generator bisecting the interval along bisector line to position the third ellipse.

The centre of ellipse e3 is a point on the line L bisecting the angle ψ between the two tangents T1 and T2. The bisection method is applied in the interval indicated by the faded blue circles along L. The obtained centre should minimize the discrepancy of the required and the actual area of the region in exactly the three ellipses.

Figure 5

doi: https://doi.org/10.1371/journal.pone.0101717.g005