Paris Pamfilos,
Rectangles Circumscribing a Quadrangle,
Forum Geometricorum,
18 (2018) 161—184.
Abstract.
In this article we study the
circumscribed rectangles about a quadrangle and in particular
their extrema with respect to the area.
We show that there are two
such extrema represented
by two similar rectangles. In addition we study the four similarities
interchanging these extremal rectangles and show the existence of two twin
quadrangles with given extremal rectangles.