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Bundeswettbewerb Mathematik 1977 Problem 2.2

Source: Bundeswettbewerb Mathematik 1977 Round 2

October 10, 2022
geometryconstructionparallelogramdisks

Problem Statement

On a plane are given three non-collinear points A,B,CA, B, C. We are given a disk of diameter different from that of the circle passing through A,B,CA, B, C large enough to cover all three points. Construct the fourth vertex of the parallelogram ABCDABCD using only this disk (The disk is to be used as a circular ruler, for constructing a circle passing through two given points).