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orthocenter construction using a ruler at most with 6 lines

Source: 2022 Oral Moscow Geometry Olympiad grades 10-11 p4

April 18, 2022
geometryconstructionorthocenterRuler

Problem Statement

An acute-angled non-isosceles triangle ABCABC is drawn, a circumscribed circle and its center OO are drawn. The midpoint of side ABAB is also marked. Using only a ruler (no divisions), construct the triangle's orthocenter by drawing no more than 66 lines.
(Yu. Blinkov)