MathDB
Let $ABCD$ be a rectangle and let $M, N$ and $P, Q$ be the points of intersectio

Source: Eotvos 1897 p3

March 14, 2020
constructiongeometry

Problem Statement

Let ABCDABCD be a rectangle and let M,NM, N and P,QP, Q be the points of intersections of some line ee with the sides AB,CDAB, CD and AD,BCAD, BC, respectively (or their extensions). Given the points M,N,P,QM, N, P, Q and the length pp of side ABAB, construct the rectangle. Under what conditions can this problem be solved, and how many solutions does it have?
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