2

Part of 1992 Spain Mathematical Olympiad

Problems(1)

construct segment // to a line intersecting 2 circles with constant sum

Source: Spanish Mathematical Olympiad 1992 P2

Given two circles of radii

r

r'

exterior to each other, construct a line parallel to a given line and intersecting the two circles in chords with the sum of lengths

\ell

geometryconstructioncircles