w1 and w2 circles have different diameters and externally tangent to each other at X. Points A and B are on w1, points C and D are on w2 such that AC and BD are common tangent lines of these two circles. CX intersects AB at E and w1 at F second time. (EFB) intersects AF at G second time. If AX∩CD=H, show that points E,G,H are collinear. geometrygeometry proposed