Paris Pamfilos, On some elementary properties of quadrilaterals,
Forum Geometricorum, 17 (2017) 473--482.
Abstract. We study some elementary properties of convex quadrilaterals
related to the idea of common harmonics of two pairs of points and
detecting two similar parallelograms with diagonals parallel to
those of the quadrilateral and such that the area of the
quadrilateral is the mean geometric of their areas. We apply
these results to the study of variation of area of quadrilaterals,
whose angles remain fixed in measure.
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