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Construct a parallelogram ABCD. Extend the side [AB] such that BM = AB. Line (MC) intersects (AD) at N. The perpendicular to (BD) passing through A cuts (CD) at P. The perpendicular to (BD) passing through C cuts (AB) at Q. Let R be the foot of the perpendicular from D to (MN). Let S be the foot to the perpendicular from B to (MN).
Compare [AD] and [DN], and compare [DR] and [BS].
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