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point construction, 2 circles and a line given

Source: Polish MO second round 1958 p6

August 29, 2024
constructiongeometry

Problem Statement

In a plane, two circles C1 C_1 and C2 C_2 and a line m m are given. Find a point on the line m m from which one can draw tangents to the circles C1 C_1 and C2 C_2 with equal inclination to the line m m .