AREAS ASSOCIATED TO A QUADRILATERAL
AREAS ASSOCIATED TO A QUADRILATERAL

Summary/Abstract: We study the relationship between the areas of the consecutive quadrilaterals cut from a convex quadrilateral in the plane by means of a finite or infinite number of straight lines intersecting two of its opposite sides. Moreover, we obtain a geometric description of all possible areas obtained in this way given the ratios of the lengths of consecutive segments in which the lines divide these two opposite sides.

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