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scent of a classic, square construction through for 4 given points

Source: Spanish Mathematical Olympiad 1976 P1

December 23, 2022
geometryconstructionsquare

Problem Statement

In a plane there are four fixed points A,B,C,DA, B, C, D, no 33 collinear. Construct a square with sides a,b,c,da, b, c, d such that AaA \in a, BbB \in b, CcC \in c, DdD \in d.