Pedal Triangle

FGH is the Pedal Triangle of point E. We show the loci of the midpoints of the pedal triangle as E moves round a circle centered at D.
These loci are ellipses. We show an axis of symmetry of the ellipse.

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Circle radius

Can you find a location for D where the axes pass through a common point?
Can you find more than one location?

App generated by Geometry Expressions