Apollonius Revisited Equidistance

- Construct the perpendicular bisector of the segment.FocusdirectrixQ Movable Point-Construct through point Q a perpendicular to the directrix. This will intersect the otherperpendicular. Construct the intersection point and label it P. P is the point on theparabola.P (point on parabola)FocusdirectrixQ Movable Point-Note that: as P is equidistant to the Focus and to the directrix, it satisfies the condition inthe definition of the parabola and is thus a point on the parabola.P (point on parabola)FocusdirectrixQ Movable Point