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ray construction, ratio OC/OD is maximal

Source: Sharygin Finals 2022 8.6

October 26, 2022
ratiogeometryconstruction

Problem Statement

Two circles meeting at points A,BA, B and a point OO lying outside them are given. Using a compass and a ruler construct a ray with origin OO meeting the first circle at point CC and the second one at point DD in such a way that the ratio OC:ODOC : OD be maximal.
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