Adrian van Roomen solved Apollonius Problem
Adrian van Roomen published (Problema Apolloniacum) in 1596, Wurzberg.
Van Roomen used the geometric fact that centers of circles tangent to two circles are located on two conic sections. Hence, given three circles there exist four sets of three conic sections. The four common chords are concurrent in the radical center of three given circles (see L. Gaultier de Tours' Memoires, 1813). If a common chord is parallel to an asymptote of a conic section, then a center is at infinity.