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  • $\begingroup$ This works for the line segments given by the OP, but doesn't seem to work in some other case, such as when the line segments are changed to x1 = 8; y1 = 20; x2 = 10; y2 = 22; x3 = 12; y3 = 28; $\endgroup$ Commented Feb 24, 2013 at 14:32