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“If four general lines are drawn in a plane, they will intersect at six points forming four triangles taken three at a time. In the figure the six points are A, B, C, D , E, and F. If the four triangles circumcircles are drawn, the circles will all intesect in a single pointThis point is called the Miquel Point. Only a single parabola can be drawn tangent to all four lines, and the focus of the parabola is the Miquel point.” source...