The quadrangle of the orthocenters of the 4 partial triangles of a circular quadrangle form a quadrangle which is symmetric to the original, with respect to the Mathot point of the original quadrangle. By symmetry the Mathot point of the second quadrangle will coincide with the Mathot point of the original.

Look at the document: Mathot3.html for the complete picture, including the two symmetric quadrangles.

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