Can a cyclic quadrilateral be inscribed in a parabola?
It is quite obvious that a quadrilateral can be inscribed in a parabola.
However, can somebody provide a nice (meaning: intuitive) proof that a
cyclic quadrilateral can be inscribed in it?
Further, if you can prove that it is possible to have an inscribed
quadrilateral such that the diagonals are equal, then it'd be great!
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