Dear All My Friends,
 
Point E is orthogonal projection of focus F on directrix of
a parabola. The circle with diameter EF intersects the parabola at two points
A, B. It is easy to show that common chord AB divides diameter EF by golden
ratio and of course AEF is golden triangle.

Is there any reference for this fact?
Best regards,
Bui Quang Tuan

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