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midpoint arc construction with no more than two lines

Source: 2018 Oral Moscow Geometry Olympiad grades 8-9 p4

July 25, 2019
arc midpointconstructiongeometry

Problem Statement

Given a triangle ABCABC (AB>ACAB> AC) and a circle circumscribed around it. Construct with a compass and a ruler the midpoint of the arc BCBC (not containing vertex AA), with no more than two lines (straight or circles).