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equilateral construction 2 vertices on parallel lines

Source: Spanish Mathematical Olympiad 1972 P5

December 5, 2022
geometryconstructionEquilateral

Problem Statement

Given two parallel lines rr and rr' and a point PP on the plane that contains them and that is not on them, determine an equilateral triangle whose vertex is point PP , and the other two, one on each of the two lines. https://cdn.artofproblemsolving.com/attachments/9/3/1d475eb3e9a8a48f4a85a2a311e1bda978e740.png