Three focus-sharing conics

define a quadrangle of intersections of common chords (Neville's theorem). Here, the black circle is the absolute conic. The notation is exemplified by: F1 is the focus common to K2 and K3, d21 is the directrix of K2 to the focus F1. The central part is enlarged to see the quadrangle of intersections of the common chords connecting opposite intersections of the conics.

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