1. Radical Axis provided animation for the series using Final Cut Pro.2. Therefore, such tangents meet on the radical axis . 3. The line connecting these common intersection points is the radical axis for all three circles. 4. Gergonne found the radical axis " R " of the unknown solution circles as follows. 5. Any two pairs of antihomologous points can be used to find a point on the radical axis . 6. Hence, line SS'is the common radical axis for each of the three pairs of circles of Apollonius. 7. Thus, two radii of such a circle are tangent to both circles, satisfying the definition of the radical axis . 8. Which implies that "'X "'3 lies on the radical axis of the two solution circles. 9. This line is perpendicular to the radical axis defined by the isodynamic points S and S ^ { \ prime }. 10. Radical Axis handled all aspects of production, from initial audio records and character design to final delivery of the master.