Constructing a quadrilateral inside another one

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dc.creatorAsh, J. M.
dc.creatorAsh, M. A.
dc.creatorAsh, P. F.
dc.date2007-04-20
dc.date2007-09-17
dc.date.accessioned2026-07-07T08:29:32Z
dc.date.available2026-07-07T08:29:32Z
dc.descriptionConnect each vertex of a convex quadrilateral Q to the midpoint of the next (proceeding counterclockwise) side. The four connecting lines create an interior quadrilateral I. We study the ratio area(I)/area(Q). We also determine what happens to area(I)/area(Q) when the four midpoints are replaced by points which divide the sides in the ratio of rho to (1-rho) proceeding clockwise. Here rho is any fixed number satisfying 0 < rho < 1.
dc.identifierhttps://arxiv.org/abs/0704.2716
dc.identifierhttp://arxiv.org/abs/0704.2716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137967
dc.subjectGeneral Mathematics
dc.subject51N20 (Primary); 51A20 (Secondary)
dc.titleConstructing a quadrilateral inside another one
dc.typetext

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