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Find a point using a ruler and drawing at most 8 lines (10)

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October 29, 2010
geometry unsolvedgeometry

Problem Statement

Let three lines forming a triangle ABCABC be given. Using a two-sided ruler and drawing at most eight lines construct a point DD on the side ABAB such that ADBD=BCAC.\frac{AD}{BD}=\frac{BC}{AC}.
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