Area of the orthic quadrilaterals of a convex cyclic orthodiagonal quadrilateral - Grégoire Nicollier

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    Area of the orthic quadrilaterals of a convex cyclic orthodiagonal quadrilateral - Grégoire Nicollier​

    Among all orthic quadrilaterals inscribed in a given convex cyclic orthodiagonal quadrilateral, the orthic quadrilateral of the side midpoint rectangle has the largest area. We give here a short and simple proof of this recently established fact by describing the orthic quadrilaterals, inscribed or not, as a symmetric difference of orthic triangles and computing their area.

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    LTTK CTV, 10/10/19
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