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XI.13

Part of Ukrainian TYM Qualifying - geometry

Problems(1)

locus of points from which cylindrical towers are visible at same angle

Source: XI All-Ukrainian Tournament of Young Mathematicians, Qualifying p13

5/27/2021
On the plane there are two cylindrical towers with radii of bases rr and RR. Find the set of all those points of the plane from which these towers are visible at the same angle. Consider the case of more towers.
geometryLocus3D geometrycylinderUkrainian TYM