Given 3D points P1(200,60,140), P2(300,120,110), P3(3,0,-1), P4(-100,0,-1) and the radius of arc C1MP3 is equal to radius of arc C2MP1. How do I calculate coordinates x, y, z of points C1 and C2?
Points C1 and C2 are centers of two reverse arcs which are tangent to each other at point M which lies on ray Q1Q2. Arc C1MP3 is tangent to ray P3P4 and arc C2MP1 is tangent to ray P1P2.